TSTP Solution File: SWC067+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SWC067+1 : TPTP v5.0.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art02.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 : Sun Dec 26 10:11:23 EST 2010
% Result : Theorem 0.26s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 10
% Syntax : Number of formulae : 139 ( 17 unt; 0 def)
% Number of atoms : 796 ( 299 equ)
% Maximal formula atoms : 40 ( 5 avg)
% Number of connectives : 1133 ( 476 ~; 461 |; 160 &)
% ( 4 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 212 ( 0 sgn 135 !; 45 ?)
% Comments :
%------------------------------------------------------------------------------
fof(5,axiom,
! [X1] :
( ssList(X1)
=> app(X1,nil) = X1 ),
file('/tmp/tmpd0Yc33/sel_SWC067+1.p_1',ax84) ).
fof(6,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( nil = app(X1,X2)
<=> ( nil = X2
& nil = X1 ) ) ) ),
file('/tmp/tmpd0Yc33/sel_SWC067+1.p_1',ax83) ).
fof(7,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> app(app(X1,X2),X3) = app(X1,app(X2,X3)) ) ) ),
file('/tmp/tmpd0Yc33/sel_SWC067+1.p_1',ax82) ).
fof(13,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ssList(app(X1,X2)) ) ),
file('/tmp/tmpd0Yc33/sel_SWC067+1.p_1',ax26) ).
fof(20,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( segmentP(X1,X2)
<=> ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& app(app(X3,X2),X4) = X1 ) ) ) ) ),
file('/tmp/tmpd0Yc33/sel_SWC067+1.p_1',ax7) ).
fof(22,axiom,
! [X1] :
( ssList(X1)
=> segmentP(X1,X1) ),
file('/tmp/tmpd0Yc33/sel_SWC067+1.p_1',ax55) ).
fof(29,axiom,
! [X1] :
( ssList(X1)
=> ( segmentP(nil,X1)
<=> nil = X1 ) ),
file('/tmp/tmpd0Yc33/sel_SWC067+1.p_1',ax58) ).
fof(39,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( neq(X1,X2)
<=> X1 != X2 ) ) ),
file('/tmp/tmpd0Yc33/sel_SWC067+1.p_1',ax15) ).
fof(41,axiom,
ssList(nil),
file('/tmp/tmpd0Yc33/sel_SWC067+1.p_1',ax17) ).
fof(43,conjecture,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( app(app(X5,X3),X6) != X4
| ~ strictorderedP(X3)
| ? [X7] :
( ssItem(X7)
& ? [X8] :
( ssList(X8)
& app(X8,cons(X7,nil)) = X5
& ? [X9] :
( ssItem(X9)
& ? [X10] :
( ssList(X10)
& app(cons(X9,nil),X10) = X3
& lt(X7,X9) ) ) ) )
| ? [X11] :
( ssItem(X11)
& ? [X12] :
( ssList(X12)
& app(cons(X11,nil),X12) = X6
& ? [X13] :
( ssItem(X13)
& ? [X14] :
( ssList(X14)
& app(X14,cons(X13,nil)) = X3
& lt(X13,X11) ) ) ) ) ) ) )
| ( nil != X4
& nil = X3 )
| ( ( nil != X2
| nil = X1 )
& ( ~ neq(X2,nil)
| ? [X15] :
( ssList(X15)
& neq(X15,nil)
& segmentP(X2,X15)
& segmentP(X1,X15) ) ) ) ) ) ) ) ),
file('/tmp/tmpd0Yc33/sel_SWC067+1.p_1',co1) ).
fof(44,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( app(app(X5,X3),X6) != X4
| ~ strictorderedP(X3)
| ? [X7] :
( ssItem(X7)
& ? [X8] :
( ssList(X8)
& app(X8,cons(X7,nil)) = X5
& ? [X9] :
( ssItem(X9)
& ? [X10] :
( ssList(X10)
& app(cons(X9,nil),X10) = X3
& lt(X7,X9) ) ) ) )
| ? [X11] :
( ssItem(X11)
& ? [X12] :
( ssList(X12)
& app(cons(X11,nil),X12) = X6
& ? [X13] :
( ssItem(X13)
& ? [X14] :
( ssList(X14)
& app(X14,cons(X13,nil)) = X3
& lt(X13,X11) ) ) ) ) ) ) )
| ( nil != X4
& nil = X3 )
| ( ( nil != X2
| nil = X1 )
& ( ~ neq(X2,nil)
| ? [X15] :
( ssList(X15)
& neq(X15,nil)
& segmentP(X2,X15)
& segmentP(X1,X15) ) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[43]) ).
fof(47,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( app(app(X5,X3),X6) != X4
| ~ strictorderedP(X3)
| ? [X7] :
( ssItem(X7)
& ? [X8] :
( ssList(X8)
& app(X8,cons(X7,nil)) = X5
& ? [X9] :
( ssItem(X9)
& ? [X10] :
( ssList(X10)
& app(cons(X9,nil),X10) = X3
& lt(X7,X9) ) ) ) )
| ? [X11] :
( ssItem(X11)
& ? [X12] :
( ssList(X12)
& app(cons(X11,nil),X12) = X6
& ? [X13] :
( ssItem(X13)
& ? [X14] :
( ssList(X14)
& app(X14,cons(X13,nil)) = X3
& lt(X13,X11) ) ) ) ) ) ) )
| ( nil != X4
& nil = X3 )
| ( ( nil != X2
| nil = X1 )
& ( ~ neq(X2,nil)
| ? [X15] :
( ssList(X15)
& neq(X15,nil)
& segmentP(X2,X15)
& segmentP(X1,X15) ) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[44,theory(equality)]) ).
fof(60,plain,
! [X1] :
( ~ ssList(X1)
| app(X1,nil) = X1 ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(61,plain,
! [X2] :
( ~ ssList(X2)
| app(X2,nil) = X2 ),
inference(variable_rename,[status(thm)],[60]) ).
cnf(62,plain,
( app(X1,nil) = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[61]) ).
fof(63,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)],[6]) ).
fof(64,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)],[63]) ).
fof(65,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)],[64]) ).
fof(66,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)],[65]) ).
cnf(67,plain,
( nil = app(X1,X2)
| ~ ssList(X1)
| ~ ssList(X2)
| nil != X1
| nil != X2 ),
inference(split_conjunct,[status(thm)],[66]) ).
cnf(68,plain,
( nil = X1
| ~ ssList(X1)
| ~ ssList(X2)
| nil != app(X1,X2) ),
inference(split_conjunct,[status(thm)],[66]) ).
cnf(69,plain,
( nil = X2
| ~ ssList(X1)
| ~ ssList(X2)
| nil != app(X1,X2) ),
inference(split_conjunct,[status(thm)],[66]) ).
fof(70,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)],[7]) ).
fof(71,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)],[70]) ).
fof(72,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)],[71]) ).
cnf(73,plain,
( app(app(X1,X2),X3) = app(X1,app(X2,X3))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[72]) ).
fof(93,plain,
! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ssList(app(X1,X2)) ) ),
inference(fof_nnf,[status(thm)],[13]) ).
fof(94,plain,
! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssList(X4)
| ssList(app(X3,X4)) ) ),
inference(variable_rename,[status(thm)],[93]) ).
fof(95,plain,
! [X3,X4] :
( ~ ssList(X4)
| ssList(app(X3,X4))
| ~ ssList(X3) ),
inference(shift_quantors,[status(thm)],[94]) ).
cnf(96,plain,
( ssList(app(X1,X2))
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[95]) ).
fof(124,plain,
! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ( ( ~ segmentP(X1,X2)
| ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& app(app(X3,X2),X4) = X1 ) ) )
& ( ! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssList(X4)
| app(app(X3,X2),X4) != X1 ) )
| segmentP(X1,X2) ) ) ) ),
inference(fof_nnf,[status(thm)],[20]) ).
fof(125,plain,
! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ~ ssList(X6)
| ( ( ~ segmentP(X5,X6)
| ? [X7] :
( ssList(X7)
& ? [X8] :
( ssList(X8)
& app(app(X7,X6),X8) = X5 ) ) )
& ( ! [X9] :
( ~ ssList(X9)
| ! [X10] :
( ~ ssList(X10)
| app(app(X9,X6),X10) != X5 ) )
| segmentP(X5,X6) ) ) ) ),
inference(variable_rename,[status(thm)],[124]) ).
fof(126,plain,
! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ~ ssList(X6)
| ( ( ~ segmentP(X5,X6)
| ( ssList(esk5_2(X5,X6))
& ssList(esk6_2(X5,X6))
& app(app(esk5_2(X5,X6),X6),esk6_2(X5,X6)) = X5 ) )
& ( ! [X9] :
( ~ ssList(X9)
| ! [X10] :
( ~ ssList(X10)
| app(app(X9,X6),X10) != X5 ) )
| segmentP(X5,X6) ) ) ) ),
inference(skolemize,[status(esa)],[125]) ).
fof(127,plain,
! [X5,X6,X9,X10] :
( ( ( ~ ssList(X10)
| app(app(X9,X6),X10) != X5
| ~ ssList(X9)
| segmentP(X5,X6) )
& ( ~ segmentP(X5,X6)
| ( ssList(esk5_2(X5,X6))
& ssList(esk6_2(X5,X6))
& app(app(esk5_2(X5,X6),X6),esk6_2(X5,X6)) = X5 ) ) )
| ~ ssList(X6)
| ~ ssList(X5) ),
inference(shift_quantors,[status(thm)],[126]) ).
fof(128,plain,
! [X5,X6,X9,X10] :
( ( ~ ssList(X10)
| app(app(X9,X6),X10) != X5
| ~ ssList(X9)
| segmentP(X5,X6)
| ~ ssList(X6)
| ~ ssList(X5) )
& ( ssList(esk5_2(X5,X6))
| ~ segmentP(X5,X6)
| ~ ssList(X6)
| ~ ssList(X5) )
& ( ssList(esk6_2(X5,X6))
| ~ segmentP(X5,X6)
| ~ ssList(X6)
| ~ ssList(X5) )
& ( app(app(esk5_2(X5,X6),X6),esk6_2(X5,X6)) = X5
| ~ segmentP(X5,X6)
| ~ ssList(X6)
| ~ ssList(X5) ) ),
inference(distribute,[status(thm)],[127]) ).
cnf(132,plain,
( segmentP(X1,X2)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| app(app(X3,X2),X4) != X1
| ~ ssList(X4) ),
inference(split_conjunct,[status(thm)],[128]) ).
fof(137,plain,
! [X1] :
( ~ ssList(X1)
| segmentP(X1,X1) ),
inference(fof_nnf,[status(thm)],[22]) ).
fof(138,plain,
! [X2] :
( ~ ssList(X2)
| segmentP(X2,X2) ),
inference(variable_rename,[status(thm)],[137]) ).
cnf(139,plain,
( segmentP(X1,X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[138]) ).
fof(170,plain,
! [X1] :
( ~ ssList(X1)
| ( ( ~ segmentP(nil,X1)
| nil = X1 )
& ( nil != X1
| segmentP(nil,X1) ) ) ),
inference(fof_nnf,[status(thm)],[29]) ).
fof(171,plain,
! [X2] :
( ~ ssList(X2)
| ( ( ~ segmentP(nil,X2)
| nil = X2 )
& ( nil != X2
| segmentP(nil,X2) ) ) ),
inference(variable_rename,[status(thm)],[170]) ).
fof(172,plain,
! [X2] :
( ( ~ segmentP(nil,X2)
| nil = X2
| ~ ssList(X2) )
& ( nil != X2
| segmentP(nil,X2)
| ~ ssList(X2) ) ),
inference(distribute,[status(thm)],[171]) ).
cnf(173,plain,
( segmentP(nil,X1)
| ~ ssList(X1)
| nil != X1 ),
inference(split_conjunct,[status(thm)],[172]) ).
fof(223,plain,
! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ( ( ~ neq(X1,X2)
| X1 != X2 )
& ( X1 = X2
| neq(X1,X2) ) ) ) ),
inference(fof_nnf,[status(thm)],[39]) ).
fof(224,plain,
! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssList(X4)
| ( ( ~ neq(X3,X4)
| X3 != X4 )
& ( X3 = X4
| neq(X3,X4) ) ) ) ),
inference(variable_rename,[status(thm)],[223]) ).
fof(225,plain,
! [X3,X4] :
( ~ ssList(X4)
| ( ( ~ neq(X3,X4)
| X3 != X4 )
& ( X3 = X4
| neq(X3,X4) ) )
| ~ ssList(X3) ),
inference(shift_quantors,[status(thm)],[224]) ).
fof(226,plain,
! [X3,X4] :
( ( ~ neq(X3,X4)
| X3 != X4
| ~ ssList(X4)
| ~ ssList(X3) )
& ( X3 = X4
| neq(X3,X4)
| ~ ssList(X4)
| ~ ssList(X3) ) ),
inference(distribute,[status(thm)],[225]) ).
cnf(227,plain,
( neq(X1,X2)
| X1 = X2
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[226]) ).
cnf(233,plain,
ssList(nil),
inference(split_conjunct,[status(thm)],[41]) ).
fof(240,negated_conjecture,
? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& X2 = X4
& X1 = X3
& ? [X5] :
( ssList(X5)
& ? [X6] :
( ssList(X6)
& app(app(X5,X3),X6) = X4
& strictorderedP(X3)
& ! [X7] :
( ~ ssItem(X7)
| ! [X8] :
( ~ ssList(X8)
| app(X8,cons(X7,nil)) != X5
| ! [X9] :
( ~ ssItem(X9)
| ! [X10] :
( ~ ssList(X10)
| app(cons(X9,nil),X10) != X3
| ~ lt(X7,X9) ) ) ) )
& ! [X11] :
( ~ ssItem(X11)
| ! [X12] :
( ~ ssList(X12)
| app(cons(X11,nil),X12) != X6
| ! [X13] :
( ~ ssItem(X13)
| ! [X14] :
( ~ ssList(X14)
| app(X14,cons(X13,nil)) != X3
| ~ lt(X13,X11) ) ) ) ) ) )
& ( nil = X4
| nil != X3 )
& ( ( nil = X2
& nil != X1 )
| ( neq(X2,nil)
& ! [X15] :
( ~ ssList(X15)
| ~ neq(X15,nil)
| ~ segmentP(X2,X15)
| ~ segmentP(X1,X15) ) ) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[47]) ).
fof(241,negated_conjecture,
? [X16] :
( ssList(X16)
& ? [X17] :
( ssList(X17)
& ? [X18] :
( ssList(X18)
& ? [X19] :
( ssList(X19)
& X17 = X19
& X16 = X18
& ? [X20] :
( ssList(X20)
& ? [X21] :
( ssList(X21)
& app(app(X20,X18),X21) = X19
& strictorderedP(X18)
& ! [X22] :
( ~ ssItem(X22)
| ! [X23] :
( ~ ssList(X23)
| app(X23,cons(X22,nil)) != X20
| ! [X24] :
( ~ ssItem(X24)
| ! [X25] :
( ~ ssList(X25)
| app(cons(X24,nil),X25) != X18
| ~ lt(X22,X24) ) ) ) )
& ! [X26] :
( ~ ssItem(X26)
| ! [X27] :
( ~ ssList(X27)
| app(cons(X26,nil),X27) != X21
| ! [X28] :
( ~ ssItem(X28)
| ! [X29] :
( ~ ssList(X29)
| app(X29,cons(X28,nil)) != X18
| ~ lt(X28,X26) ) ) ) ) ) )
& ( nil = X19
| nil != X18 )
& ( ( nil = X17
& nil != X16 )
| ( neq(X17,nil)
& ! [X30] :
( ~ ssList(X30)
| ~ neq(X30,nil)
| ~ segmentP(X17,X30)
| ~ segmentP(X16,X30) ) ) ) ) ) ) ),
inference(variable_rename,[status(thm)],[240]) ).
fof(242,negated_conjecture,
( ssList(esk13_0)
& ssList(esk14_0)
& ssList(esk15_0)
& ssList(esk16_0)
& esk14_0 = esk16_0
& esk13_0 = esk15_0
& ssList(esk17_0)
& ssList(esk18_0)
& app(app(esk17_0,esk15_0),esk18_0) = esk16_0
& strictorderedP(esk15_0)
& ! [X22] :
( ~ ssItem(X22)
| ! [X23] :
( ~ ssList(X23)
| app(X23,cons(X22,nil)) != esk17_0
| ! [X24] :
( ~ ssItem(X24)
| ! [X25] :
( ~ ssList(X25)
| app(cons(X24,nil),X25) != esk15_0
| ~ lt(X22,X24) ) ) ) )
& ! [X26] :
( ~ ssItem(X26)
| ! [X27] :
( ~ ssList(X27)
| app(cons(X26,nil),X27) != esk18_0
| ! [X28] :
( ~ ssItem(X28)
| ! [X29] :
( ~ ssList(X29)
| app(X29,cons(X28,nil)) != esk15_0
| ~ lt(X28,X26) ) ) ) )
& ( nil = esk16_0
| nil != esk15_0 )
& ( ( nil = esk14_0
& nil != esk13_0 )
| ( neq(esk14_0,nil)
& ! [X30] :
( ~ ssList(X30)
| ~ neq(X30,nil)
| ~ segmentP(esk14_0,X30)
| ~ segmentP(esk13_0,X30) ) ) ) ),
inference(skolemize,[status(esa)],[241]) ).
fof(243,negated_conjecture,
! [X22,X23,X24,X25,X26,X27,X28,X29,X30] :
( ( ( ( ~ ssList(X30)
| ~ neq(X30,nil)
| ~ segmentP(esk14_0,X30)
| ~ segmentP(esk13_0,X30) )
& neq(esk14_0,nil) )
| ( nil = esk14_0
& nil != esk13_0 ) )
& ( ~ ssList(X29)
| app(X29,cons(X28,nil)) != esk15_0
| ~ lt(X28,X26)
| ~ ssItem(X28)
| ~ ssList(X27)
| app(cons(X26,nil),X27) != esk18_0
| ~ ssItem(X26) )
& ( ~ ssList(X25)
| app(cons(X24,nil),X25) != esk15_0
| ~ lt(X22,X24)
| ~ ssItem(X24)
| ~ ssList(X23)
| app(X23,cons(X22,nil)) != esk17_0
| ~ ssItem(X22) )
& app(app(esk17_0,esk15_0),esk18_0) = esk16_0
& strictorderedP(esk15_0)
& ssList(esk18_0)
& ssList(esk17_0)
& esk14_0 = esk16_0
& esk13_0 = esk15_0
& ( nil = esk16_0
| nil != esk15_0 )
& ssList(esk16_0)
& ssList(esk15_0)
& ssList(esk14_0)
& ssList(esk13_0) ),
inference(shift_quantors,[status(thm)],[242]) ).
fof(244,negated_conjecture,
! [X22,X23,X24,X25,X26,X27,X28,X29,X30] :
( ( nil = esk14_0
| ~ ssList(X30)
| ~ neq(X30,nil)
| ~ segmentP(esk14_0,X30)
| ~ segmentP(esk13_0,X30) )
& ( nil != esk13_0
| ~ ssList(X30)
| ~ neq(X30,nil)
| ~ segmentP(esk14_0,X30)
| ~ segmentP(esk13_0,X30) )
& ( nil = esk14_0
| neq(esk14_0,nil) )
& ( nil != esk13_0
| neq(esk14_0,nil) )
& ( ~ ssList(X29)
| app(X29,cons(X28,nil)) != esk15_0
| ~ lt(X28,X26)
| ~ ssItem(X28)
| ~ ssList(X27)
| app(cons(X26,nil),X27) != esk18_0
| ~ ssItem(X26) )
& ( ~ ssList(X25)
| app(cons(X24,nil),X25) != esk15_0
| ~ lt(X22,X24)
| ~ ssItem(X24)
| ~ ssList(X23)
| app(X23,cons(X22,nil)) != esk17_0
| ~ ssItem(X22) )
& app(app(esk17_0,esk15_0),esk18_0) = esk16_0
& strictorderedP(esk15_0)
& ssList(esk18_0)
& ssList(esk17_0)
& esk14_0 = esk16_0
& esk13_0 = esk15_0
& ( nil = esk16_0
| nil != esk15_0 )
& ssList(esk16_0)
& ssList(esk15_0)
& ssList(esk14_0)
& ssList(esk13_0) ),
inference(distribute,[status(thm)],[243]) ).
cnf(245,negated_conjecture,
ssList(esk13_0),
inference(split_conjunct,[status(thm)],[244]) ).
cnf(248,negated_conjecture,
ssList(esk16_0),
inference(split_conjunct,[status(thm)],[244]) ).
cnf(249,negated_conjecture,
( nil = esk16_0
| nil != esk15_0 ),
inference(split_conjunct,[status(thm)],[244]) ).
cnf(250,negated_conjecture,
esk13_0 = esk15_0,
inference(split_conjunct,[status(thm)],[244]) ).
cnf(251,negated_conjecture,
esk14_0 = esk16_0,
inference(split_conjunct,[status(thm)],[244]) ).
cnf(252,negated_conjecture,
ssList(esk17_0),
inference(split_conjunct,[status(thm)],[244]) ).
cnf(253,negated_conjecture,
ssList(esk18_0),
inference(split_conjunct,[status(thm)],[244]) ).
cnf(255,negated_conjecture,
app(app(esk17_0,esk15_0),esk18_0) = esk16_0,
inference(split_conjunct,[status(thm)],[244]) ).
cnf(258,negated_conjecture,
( neq(esk14_0,nil)
| nil != esk13_0 ),
inference(split_conjunct,[status(thm)],[244]) ).
cnf(260,negated_conjecture,
( ~ segmentP(esk13_0,X1)
| ~ segmentP(esk14_0,X1)
| ~ neq(X1,nil)
| ~ ssList(X1)
| nil != esk13_0 ),
inference(split_conjunct,[status(thm)],[244]) ).
cnf(261,negated_conjecture,
( nil = esk14_0
| ~ segmentP(esk13_0,X1)
| ~ segmentP(esk14_0,X1)
| ~ neq(X1,nil)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[244]) ).
cnf(262,negated_conjecture,
ssList(esk15_0),
inference(rw,[status(thm)],[245,250,theory(equality)]) ).
cnf(263,negated_conjecture,
ssList(esk14_0),
inference(rw,[status(thm)],[248,251,theory(equality)]) ).
cnf(264,negated_conjecture,
( esk14_0 = nil
| esk15_0 != nil ),
inference(rw,[status(thm)],[249,251,theory(equality)]) ).
cnf(265,negated_conjecture,
( neq(esk14_0,nil)
| esk15_0 != nil ),
inference(rw,[status(thm)],[258,250,theory(equality)]) ).
cnf(266,negated_conjecture,
app(app(esk17_0,esk15_0),esk18_0) = esk14_0,
inference(rw,[status(thm)],[255,251,theory(equality)]) ).
cnf(276,negated_conjecture,
( app(nil,esk18_0) = esk14_0
| nil != esk15_0
| nil != esk17_0
| ~ ssList(esk15_0)
| ~ ssList(esk17_0) ),
inference(spm,[status(thm)],[266,67,theory(equality)]) ).
cnf(289,negated_conjecture,
( nil = esk18_0
| esk14_0 != nil
| ~ ssList(esk18_0)
| ~ ssList(app(esk17_0,esk15_0)) ),
inference(spm,[status(thm)],[69,266,theory(equality)]) ).
cnf(294,negated_conjecture,
( nil = app(esk17_0,esk15_0)
| esk14_0 != nil
| ~ ssList(esk18_0)
| ~ ssList(app(esk17_0,esk15_0)) ),
inference(spm,[status(thm)],[68,266,theory(equality)]) ).
cnf(299,negated_conjecture,
( esk14_0 = nil
| ~ ssList(X1)
| ~ neq(X1,nil)
| ~ segmentP(esk15_0,X1)
| ~ segmentP(esk14_0,X1) ),
inference(rw,[status(thm)],[261,250,theory(equality)]) ).
cnf(303,negated_conjecture,
( esk14_0 = nil
| X1 = nil
| ~ segmentP(esk15_0,X1)
| ~ segmentP(esk14_0,X1)
| ~ ssList(X1)
| ~ ssList(nil) ),
inference(spm,[status(thm)],[299,227,theory(equality)]) ).
cnf(304,negated_conjecture,
( esk14_0 = nil
| X1 = nil
| ~ segmentP(esk15_0,X1)
| ~ segmentP(esk14_0,X1)
| ~ ssList(X1)
| $false ),
inference(rw,[status(thm)],[303,233,theory(equality)]) ).
cnf(305,negated_conjecture,
( esk14_0 = nil
| X1 = nil
| ~ segmentP(esk15_0,X1)
| ~ segmentP(esk14_0,X1)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[304,theory(equality)]) ).
cnf(329,negated_conjecture,
( esk15_0 != nil
| ~ ssList(X1)
| ~ neq(X1,nil)
| ~ segmentP(esk13_0,X1)
| ~ segmentP(esk14_0,X1) ),
inference(rw,[status(thm)],[260,250,theory(equality)]) ).
cnf(330,negated_conjecture,
( esk15_0 != nil
| ~ ssList(X1)
| ~ neq(X1,nil)
| ~ segmentP(esk15_0,X1)
| ~ segmentP(esk14_0,X1) ),
inference(rw,[status(thm)],[329,250,theory(equality)]) ).
cnf(332,negated_conjecture,
( esk15_0 != nil
| ~ segmentP(esk15_0,esk14_0)
| ~ segmentP(esk14_0,esk14_0)
| ~ ssList(esk14_0) ),
inference(spm,[status(thm)],[330,265,theory(equality)]) ).
cnf(402,negated_conjecture,
( segmentP(X1,esk15_0)
| esk14_0 != X1
| ~ ssList(esk18_0)
| ~ ssList(esk17_0)
| ~ ssList(esk15_0)
| ~ ssList(X1) ),
inference(spm,[status(thm)],[132,266,theory(equality)]) ).
cnf(434,negated_conjecture,
( app(esk17_0,app(esk15_0,esk18_0)) = esk14_0
| ~ ssList(esk18_0)
| ~ ssList(esk15_0)
| ~ ssList(esk17_0) ),
inference(spm,[status(thm)],[266,73,theory(equality)]) ).
cnf(555,negated_conjecture,
( esk15_0 != nil
| ~ segmentP(esk15_0,esk14_0)
| ~ segmentP(esk14_0,esk14_0)
| $false ),
inference(rw,[status(thm)],[332,263,theory(equality)]) ).
cnf(556,negated_conjecture,
( esk15_0 != nil
| ~ segmentP(esk15_0,esk14_0)
| ~ segmentP(esk14_0,esk14_0) ),
inference(cn,[status(thm)],[555,theory(equality)]) ).
cnf(563,negated_conjecture,
( esk18_0 = nil
| esk14_0 != nil
| ~ ssList(esk18_0)
| ~ ssList(esk15_0)
| ~ ssList(esk17_0) ),
inference(spm,[status(thm)],[289,96,theory(equality)]) ).
cnf(565,negated_conjecture,
( esk18_0 = nil
| esk14_0 != nil
| ~ ssList(esk18_0)
| $false
| ~ ssList(esk17_0) ),
inference(rw,[status(thm)],[563,262,theory(equality)]) ).
cnf(566,negated_conjecture,
( esk18_0 = nil
| esk14_0 != nil
| ~ ssList(esk18_0)
| ~ ssList(esk17_0) ),
inference(cn,[status(thm)],[565,theory(equality)]) ).
cnf(570,negated_conjecture,
( esk18_0 = nil
| esk14_0 != nil
| ~ ssList(esk17_0) ),
inference(spm,[status(thm)],[566,253,theory(equality)]) ).
cnf(571,negated_conjecture,
( app(nil,esk18_0) = esk14_0
| esk15_0 != nil
| esk17_0 != nil
| $false
| ~ ssList(esk17_0) ),
inference(rw,[status(thm)],[276,262,theory(equality)]) ).
cnf(572,negated_conjecture,
( app(nil,esk18_0) = esk14_0
| esk15_0 != nil
| esk17_0 != nil
| ~ ssList(esk17_0) ),
inference(cn,[status(thm)],[571,theory(equality)]) ).
cnf(620,negated_conjecture,
( esk18_0 = nil
| esk14_0 != nil ),
inference(spm,[status(thm)],[570,252,theory(equality)]) ).
cnf(715,negated_conjecture,
( app(esk17_0,esk15_0) = nil
| esk14_0 != nil
| ~ ssList(esk18_0)
| ~ ssList(esk15_0)
| ~ ssList(esk17_0) ),
inference(spm,[status(thm)],[294,96,theory(equality)]) ).
cnf(716,negated_conjecture,
( app(esk17_0,esk15_0) = nil
| esk14_0 != nil
| ~ ssList(esk18_0)
| $false
| ~ ssList(esk17_0) ),
inference(rw,[status(thm)],[715,262,theory(equality)]) ).
cnf(717,negated_conjecture,
( app(esk17_0,esk15_0) = nil
| esk14_0 != nil
| ~ ssList(esk18_0)
| ~ ssList(esk17_0) ),
inference(cn,[status(thm)],[716,theory(equality)]) ).
cnf(740,negated_conjecture,
( nil = esk15_0
| ~ ssList(esk15_0)
| ~ ssList(esk17_0)
| esk14_0 != nil
| ~ ssList(esk18_0) ),
inference(spm,[status(thm)],[69,717,theory(equality)]) ).
cnf(756,negated_conjecture,
( nil = esk15_0
| $false
| ~ ssList(esk17_0)
| esk14_0 != nil
| ~ ssList(esk18_0) ),
inference(rw,[status(thm)],[740,262,theory(equality)]) ).
cnf(757,negated_conjecture,
( nil = esk15_0
| ~ ssList(esk17_0)
| esk14_0 != nil
| ~ ssList(esk18_0) ),
inference(cn,[status(thm)],[756,theory(equality)]) ).
cnf(780,negated_conjecture,
( esk15_0 = nil
| esk14_0 != nil
| ~ ssList(esk17_0) ),
inference(spm,[status(thm)],[757,253,theory(equality)]) ).
cnf(787,negated_conjecture,
( esk15_0 = nil
| esk14_0 != nil ),
inference(spm,[status(thm)],[780,252,theory(equality)]) ).
cnf(792,negated_conjecture,
( ~ segmentP(nil,esk14_0)
| ~ segmentP(esk14_0,esk14_0)
| esk14_0 != nil ),
inference(spm,[status(thm)],[556,787,theory(equality)]) ).
cnf(804,negated_conjecture,
( esk14_0 != nil
| ~ segmentP(nil,esk14_0)
| ~ ssList(esk14_0) ),
inference(spm,[status(thm)],[792,139,theory(equality)]) ).
cnf(805,negated_conjecture,
( esk14_0 != nil
| ~ segmentP(nil,esk14_0)
| $false ),
inference(rw,[status(thm)],[804,263,theory(equality)]) ).
cnf(806,negated_conjecture,
( esk14_0 != nil
| ~ segmentP(nil,esk14_0) ),
inference(cn,[status(thm)],[805,theory(equality)]) ).
cnf(807,negated_conjecture,
( esk14_0 != nil
| ~ ssList(esk14_0) ),
inference(spm,[status(thm)],[806,173,theory(equality)]) ).
cnf(808,negated_conjecture,
( esk14_0 != nil
| $false ),
inference(rw,[status(thm)],[807,263,theory(equality)]) ).
cnf(809,negated_conjecture,
esk14_0 != nil,
inference(cn,[status(thm)],[808,theory(equality)]) ).
cnf(822,negated_conjecture,
( esk14_0 = nil
| nil != esk18_0
| ~ ssList(esk18_0)
| ~ ssList(nil)
| esk15_0 != nil
| esk17_0 != nil
| ~ ssList(esk17_0) ),
inference(spm,[status(thm)],[67,572,theory(equality)]) ).
cnf(837,negated_conjecture,
( esk14_0 = nil
| nil != esk18_0
| ~ ssList(esk18_0)
| $false
| esk15_0 != nil
| esk17_0 != nil
| ~ ssList(esk17_0) ),
inference(rw,[status(thm)],[822,233,theory(equality)]) ).
cnf(838,negated_conjecture,
( esk14_0 = nil
| nil != esk18_0
| ~ ssList(esk18_0)
| esk15_0 != nil
| esk17_0 != nil
| ~ ssList(esk17_0) ),
inference(cn,[status(thm)],[837,theory(equality)]) ).
cnf(839,negated_conjecture,
( esk18_0 != nil
| ~ ssList(esk18_0)
| esk15_0 != nil
| esk17_0 != nil
| ~ ssList(esk17_0) ),
inference(sr,[status(thm)],[838,809,theory(equality)]) ).
cnf(871,negated_conjecture,
( esk18_0 != nil
| esk15_0 != nil
| esk17_0 != nil
| ~ ssList(esk17_0) ),
inference(spm,[status(thm)],[839,253,theory(equality)]) ).
cnf(932,negated_conjecture,
( esk18_0 != nil
| esk15_0 != nil
| esk17_0 != nil ),
inference(spm,[status(thm)],[871,252,theory(equality)]) ).
cnf(933,negated_conjecture,
( esk15_0 != nil
| esk17_0 != nil
| esk14_0 != nil ),
inference(spm,[status(thm)],[932,620,theory(equality)]) ).
cnf(935,negated_conjecture,
( esk15_0 != nil
| esk17_0 != nil ),
inference(csr,[status(thm)],[933,264]) ).
cnf(938,negated_conjecture,
( X1 = nil
| ~ segmentP(esk15_0,X1)
| ~ segmentP(esk14_0,X1)
| ~ ssList(X1) ),
inference(sr,[status(thm)],[305,809,theory(equality)]) ).
cnf(939,negated_conjecture,
( esk15_0 = nil
| ~ segmentP(esk14_0,esk15_0)
| ~ ssList(esk15_0) ),
inference(spm,[status(thm)],[938,139,theory(equality)]) ).
cnf(941,negated_conjecture,
( esk15_0 = nil
| ~ segmentP(esk14_0,esk15_0)
| $false ),
inference(rw,[status(thm)],[939,262,theory(equality)]) ).
cnf(942,negated_conjecture,
( esk15_0 = nil
| ~ segmentP(esk14_0,esk15_0) ),
inference(cn,[status(thm)],[941,theory(equality)]) ).
cnf(955,negated_conjecture,
( app(esk17_0,app(esk15_0,esk18_0)) = esk14_0
| ~ ssList(esk18_0)
| $false
| ~ ssList(esk17_0) ),
inference(rw,[status(thm)],[434,262,theory(equality)]) ).
cnf(956,negated_conjecture,
( app(esk17_0,app(esk15_0,esk18_0)) = esk14_0
| ~ ssList(esk18_0)
| ~ ssList(esk17_0) ),
inference(cn,[status(thm)],[955,theory(equality)]) ).
cnf(959,negated_conjecture,
( app(esk17_0,nil) = esk14_0
| ~ ssList(esk18_0)
| ~ ssList(esk17_0)
| nil != esk18_0
| nil != esk15_0
| ~ ssList(esk15_0) ),
inference(spm,[status(thm)],[956,67,theory(equality)]) ).
cnf(975,negated_conjecture,
( app(esk17_0,nil) = esk14_0
| ~ ssList(esk18_0)
| ~ ssList(esk17_0)
| nil != esk18_0
| nil != esk15_0
| $false ),
inference(rw,[status(thm)],[959,262,theory(equality)]) ).
cnf(976,negated_conjecture,
( app(esk17_0,nil) = esk14_0
| ~ ssList(esk18_0)
| ~ ssList(esk17_0)
| nil != esk18_0
| nil != esk15_0 ),
inference(cn,[status(thm)],[975,theory(equality)]) ).
cnf(999,negated_conjecture,
( esk14_0 = esk17_0
| ~ ssList(esk17_0)
| esk18_0 != nil
| esk15_0 != nil
| ~ ssList(esk18_0) ),
inference(spm,[status(thm)],[62,976,theory(equality)]) ).
cnf(1038,negated_conjecture,
( esk17_0 = esk14_0
| esk18_0 != nil
| esk15_0 != nil
| ~ ssList(esk17_0) ),
inference(spm,[status(thm)],[999,253,theory(equality)]) ).
cnf(1042,negated_conjecture,
( esk17_0 = esk14_0
| esk18_0 != nil
| esk15_0 != nil ),
inference(spm,[status(thm)],[1038,252,theory(equality)]) ).
cnf(1043,negated_conjecture,
( esk17_0 = esk14_0
| esk15_0 != nil
| esk14_0 != nil ),
inference(spm,[status(thm)],[1042,620,theory(equality)]) ).
cnf(1064,negated_conjecture,
( esk17_0 = esk14_0
| esk15_0 != nil ),
inference(csr,[status(thm)],[1043,264]) ).
cnf(1069,negated_conjecture,
( esk15_0 != nil
| esk14_0 != nil ),
inference(spm,[status(thm)],[935,1064,theory(equality)]) ).
cnf(1127,negated_conjecture,
esk15_0 != nil,
inference(csr,[status(thm)],[1069,264]) ).
cnf(1427,negated_conjecture,
( segmentP(X1,esk15_0)
| esk14_0 != X1
| ~ ssList(esk18_0)
| ~ ssList(esk17_0)
| $false
| ~ ssList(X1) ),
inference(rw,[status(thm)],[402,262,theory(equality)]) ).
cnf(1428,negated_conjecture,
( segmentP(X1,esk15_0)
| esk14_0 != X1
| ~ ssList(esk18_0)
| ~ ssList(esk17_0)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[1427,theory(equality)]) ).
cnf(1434,negated_conjecture,
( esk15_0 = nil
| ~ ssList(esk18_0)
| ~ ssList(esk17_0)
| ~ ssList(esk14_0) ),
inference(spm,[status(thm)],[942,1428,theory(equality)]) ).
cnf(1446,negated_conjecture,
( esk15_0 = nil
| ~ ssList(esk18_0)
| ~ ssList(esk17_0)
| $false ),
inference(rw,[status(thm)],[1434,263,theory(equality)]) ).
cnf(1447,negated_conjecture,
( esk15_0 = nil
| ~ ssList(esk18_0)
| ~ ssList(esk17_0) ),
inference(cn,[status(thm)],[1446,theory(equality)]) ).
cnf(1448,negated_conjecture,
( ~ ssList(esk18_0)
| ~ ssList(esk17_0) ),
inference(sr,[status(thm)],[1447,1127,theory(equality)]) ).
cnf(1465,negated_conjecture,
~ ssList(esk17_0),
inference(spm,[status(thm)],[1448,253,theory(equality)]) ).
cnf(1486,negated_conjecture,
$false,
inference(sr,[status(thm)],[252,1465,theory(equality)]) ).
cnf(1487,negated_conjecture,
$false,
1486,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWC/SWC067+1.p
% --creating new selector for [SWC001+0.ax]
% -running prover on /tmp/tmpd0Yc33/sel_SWC067+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWC067+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWC/SWC067+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWC/SWC067+1.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
%
%------------------------------------------------------------------------------