TSTP Solution File: SWC284+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SWC284+1 : TPTP v5.0.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art03.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 11:13:47 EST 2010
% Result : Theorem 14.41s
% Output : CNFRefutation 14.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 54
% Number of leaves : 13
% Syntax : Number of formulae : 184 ( 23 unt; 0 def)
% Number of atoms : 828 ( 203 equ)
% Maximal formula atoms : 27 ( 4 avg)
% Number of connectives : 1054 ( 410 ~; 490 |; 107 &)
% ( 4 <=>; 43 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 257 ( 0 sgn 132 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(2,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( nil = app(X1,X2)
<=> ( nil = X2
& nil = X1 ) ) ) ),
file('/tmp/tmp-4mecI/sel_SWC284+1.p_1',ax83) ).
fof(3,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> app(app(X1,X2),X3) = app(X1,app(X2,X3)) ) ) ),
file('/tmp/tmp-4mecI/sel_SWC284+1.p_1',ax82) ).
fof(4,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> cons(X2,X1) = app(cons(X2,nil),X1) ) ),
file('/tmp/tmp-4mecI/sel_SWC284+1.p_1',ax81) ).
fof(8,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssItem(X3)
=> cons(X3,app(X2,X1)) = app(cons(X3,X2),X1) ) ) ),
file('/tmp/tmp-4mecI/sel_SWC284+1.p_1',ax27) ).
fof(9,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ssList(app(X1,X2)) ) ),
file('/tmp/tmp-4mecI/sel_SWC284+1.p_1',ax26) ).
fof(16,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( neq(X1,X2)
<=> X1 != X2 ) ) ),
file('/tmp/tmp-4mecI/sel_SWC284+1.p_1',ax15) ).
fof(18,axiom,
ssList(nil),
file('/tmp/tmp-4mecI/sel_SWC284+1.p_1',ax17) ).
fof(19,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( memberP(app(X2,X3),X1)
<=> ( memberP(X2,X1)
| memberP(X3,X1) ) ) ) ) ),
file('/tmp/tmp-4mecI/sel_SWC284+1.p_1',ax36) ).
fof(20,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ( memberP(cons(X2,X3),X1)
<=> ( X1 = X2
| memberP(X3,X1) ) ) ) ) ),
file('/tmp/tmp-4mecI/sel_SWC284+1.p_1',ax37) ).
fof(21,axiom,
! [X1] :
( ssItem(X1)
=> ~ memberP(nil,X1) ),
file('/tmp/tmp-4mecI/sel_SWC284+1.p_1',ax38) ).
fof(24,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> ssList(cons(X2,X1)) ) ),
file('/tmp/tmp-4mecI/sel_SWC284+1.p_1',ax16) ).
fof(25,axiom,
! [X1] :
( ssItem(X1)
=> leq(X1,X1) ),
file('/tmp/tmp-4mecI/sel_SWC284+1.p_1',ax31) ).
fof(26,conjecture,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ~ ssList(X4)
| X2 != X4
| X1 != X3
| ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ! [X7] :
( ~ ssList(X7)
| app(app(X6,cons(X5,nil)),X7) != X1
| ! [X8] :
( ssItem(X8)
=> ( ( ~ memberP(X6,X8)
| leq(X8,X5) )
& ( ~ memberP(X7,X8)
| leq(X5,X8) ) ) ) ) ) )
| ( nil != X3
& nil = X4 )
| ( ! [X9] :
( ~ ssItem(X9)
| cons(X9,nil) != X3
| ~ memberP(X4,X9) )
& neq(X4,nil) ) ) ) ) ),
file('/tmp/tmp-4mecI/sel_SWC284+1.p_1',co1) ).
fof(27,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ~ ssList(X4)
| X2 != X4
| X1 != X3
| ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ! [X7] :
( ~ ssList(X7)
| app(app(X6,cons(X5,nil)),X7) != X1
| ! [X8] :
( ssItem(X8)
=> ( ( ~ memberP(X6,X8)
| leq(X8,X5) )
& ( ~ memberP(X7,X8)
| leq(X5,X8) ) ) ) ) ) )
| ( nil != X3
& nil = X4 )
| ( ! [X9] :
( ~ ssItem(X9)
| cons(X9,nil) != X3
| ~ memberP(X4,X9) )
& neq(X4,nil) ) ) ) ) ),
inference(assume_negation,[status(cth)],[26]) ).
fof(28,plain,
! [X1] :
( ssItem(X1)
=> ~ memberP(nil,X1) ),
inference(fof_simplification,[status(thm)],[21,theory(equality)]) ).
fof(29,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ~ ssList(X4)
| X2 != X4
| X1 != X3
| ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ! [X7] :
( ~ ssList(X7)
| app(app(X6,cons(X5,nil)),X7) != X1
| ! [X8] :
( ssItem(X8)
=> ( ( ~ memberP(X6,X8)
| leq(X8,X5) )
& ( ~ memberP(X7,X8)
| leq(X5,X8) ) ) ) ) ) )
| ( nil != X3
& nil = X4 )
| ( ! [X9] :
( ~ ssItem(X9)
| cons(X9,nil) != X3
| ~ memberP(X4,X9) )
& neq(X4,nil) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[27,theory(equality)]) ).
fof(33,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)],[2]) ).
fof(34,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)],[33]) ).
fof(35,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)],[34]) ).
fof(36,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)],[35]) ).
cnf(37,plain,
( nil = app(X1,X2)
| ~ ssList(X1)
| ~ ssList(X2)
| nil != X1
| nil != X2 ),
inference(split_conjunct,[status(thm)],[36]) ).
fof(40,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)],[3]) ).
fof(41,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)],[40]) ).
fof(42,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)],[41]) ).
cnf(43,plain,
( app(app(X1,X2),X3) = app(X1,app(X2,X3))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[42]) ).
fof(44,plain,
! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssItem(X2)
| cons(X2,X1) = app(cons(X2,nil),X1) ) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(45,plain,
! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssItem(X4)
| cons(X4,X3) = app(cons(X4,nil),X3) ) ),
inference(variable_rename,[status(thm)],[44]) ).
fof(46,plain,
! [X3,X4] :
( ~ ssItem(X4)
| cons(X4,X3) = app(cons(X4,nil),X3)
| ~ ssList(X3) ),
inference(shift_quantors,[status(thm)],[45]) ).
cnf(47,plain,
( cons(X2,X1) = app(cons(X2,nil),X1)
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[46]) ).
fof(59,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)],[8]) ).
fof(60,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)],[59]) ).
fof(61,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)],[60]) ).
cnf(62,plain,
( cons(X3,app(X2,X1)) = app(cons(X3,X2),X1)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X3) ),
inference(split_conjunct,[status(thm)],[61]) ).
fof(63,plain,
! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ssList(app(X1,X2)) ) ),
inference(fof_nnf,[status(thm)],[9]) ).
fof(64,plain,
! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssList(X4)
| ssList(app(X3,X4)) ) ),
inference(variable_rename,[status(thm)],[63]) ).
fof(65,plain,
! [X3,X4] :
( ~ ssList(X4)
| ssList(app(X3,X4))
| ~ ssList(X3) ),
inference(shift_quantors,[status(thm)],[64]) ).
cnf(66,plain,
( ssList(app(X1,X2))
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[65]) ).
fof(102,plain,
! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ( ( ~ neq(X1,X2)
| X1 != X2 )
& ( X1 = X2
| neq(X1,X2) ) ) ) ),
inference(fof_nnf,[status(thm)],[16]) ).
fof(103,plain,
! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssList(X4)
| ( ( ~ neq(X3,X4)
| X3 != X4 )
& ( X3 = X4
| neq(X3,X4) ) ) ) ),
inference(variable_rename,[status(thm)],[102]) ).
fof(104,plain,
! [X3,X4] :
( ~ ssList(X4)
| ( ( ~ neq(X3,X4)
| X3 != X4 )
& ( X3 = X4
| neq(X3,X4) ) )
| ~ ssList(X3) ),
inference(shift_quantors,[status(thm)],[103]) ).
fof(105,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)],[104]) ).
cnf(106,plain,
( neq(X1,X2)
| X1 = X2
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[105]) ).
cnf(112,plain,
ssList(nil),
inference(split_conjunct,[status(thm)],[18]) ).
fof(113,plain,
! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| ( ( ~ memberP(app(X2,X3),X1)
| memberP(X2,X1)
| memberP(X3,X1) )
& ( ( ~ memberP(X2,X1)
& ~ memberP(X3,X1) )
| memberP(app(X2,X3),X1) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[19]) ).
fof(114,plain,
! [X4] :
( ~ ssItem(X4)
| ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ~ ssList(X6)
| ( ( ~ memberP(app(X5,X6),X4)
| memberP(X5,X4)
| memberP(X6,X4) )
& ( ( ~ memberP(X5,X4)
& ~ memberP(X6,X4) )
| memberP(app(X5,X6),X4) ) ) ) ) ),
inference(variable_rename,[status(thm)],[113]) ).
fof(115,plain,
! [X4,X5,X6] :
( ~ ssList(X6)
| ( ( ~ memberP(app(X5,X6),X4)
| memberP(X5,X4)
| memberP(X6,X4) )
& ( ( ~ memberP(X5,X4)
& ~ memberP(X6,X4) )
| memberP(app(X5,X6),X4) ) )
| ~ ssList(X5)
| ~ ssItem(X4) ),
inference(shift_quantors,[status(thm)],[114]) ).
fof(116,plain,
! [X4,X5,X6] :
( ( ~ memberP(app(X5,X6),X4)
| memberP(X5,X4)
| memberP(X6,X4)
| ~ ssList(X6)
| ~ ssList(X5)
| ~ ssItem(X4) )
& ( ~ memberP(X5,X4)
| memberP(app(X5,X6),X4)
| ~ ssList(X6)
| ~ ssList(X5)
| ~ ssItem(X4) )
& ( ~ memberP(X6,X4)
| memberP(app(X5,X6),X4)
| ~ ssList(X6)
| ~ ssList(X5)
| ~ ssItem(X4) ) ),
inference(distribute,[status(thm)],[115]) ).
cnf(117,plain,
( memberP(app(X2,X3),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ memberP(X3,X1) ),
inference(split_conjunct,[status(thm)],[116]) ).
cnf(118,plain,
( memberP(app(X2,X3),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ memberP(X2,X1) ),
inference(split_conjunct,[status(thm)],[116]) ).
fof(120,plain,
! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ! [X3] :
( ~ ssList(X3)
| ( ( ~ memberP(cons(X2,X3),X1)
| X1 = X2
| memberP(X3,X1) )
& ( ( X1 != X2
& ~ memberP(X3,X1) )
| memberP(cons(X2,X3),X1) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[20]) ).
fof(121,plain,
! [X4] :
( ~ ssItem(X4)
| ! [X5] :
( ~ ssItem(X5)
| ! [X6] :
( ~ ssList(X6)
| ( ( ~ memberP(cons(X5,X6),X4)
| X4 = X5
| memberP(X6,X4) )
& ( ( X4 != X5
& ~ memberP(X6,X4) )
| memberP(cons(X5,X6),X4) ) ) ) ) ),
inference(variable_rename,[status(thm)],[120]) ).
fof(122,plain,
! [X4,X5,X6] :
( ~ ssList(X6)
| ( ( ~ memberP(cons(X5,X6),X4)
| X4 = X5
| memberP(X6,X4) )
& ( ( X4 != X5
& ~ memberP(X6,X4) )
| memberP(cons(X5,X6),X4) ) )
| ~ ssItem(X5)
| ~ ssItem(X4) ),
inference(shift_quantors,[status(thm)],[121]) ).
fof(123,plain,
! [X4,X5,X6] :
( ( ~ memberP(cons(X5,X6),X4)
| X4 = X5
| memberP(X6,X4)
| ~ ssList(X6)
| ~ ssItem(X5)
| ~ ssItem(X4) )
& ( X4 != X5
| memberP(cons(X5,X6),X4)
| ~ ssList(X6)
| ~ ssItem(X5)
| ~ ssItem(X4) )
& ( ~ memberP(X6,X4)
| memberP(cons(X5,X6),X4)
| ~ ssList(X6)
| ~ ssItem(X5)
| ~ ssItem(X4) ) ),
inference(distribute,[status(thm)],[122]) ).
cnf(125,plain,
( memberP(cons(X2,X3),X1)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[123]) ).
cnf(126,plain,
( memberP(X3,X1)
| X1 = X2
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ memberP(cons(X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[123]) ).
fof(127,plain,
! [X1] :
( ~ ssItem(X1)
| ~ memberP(nil,X1) ),
inference(fof_nnf,[status(thm)],[28]) ).
fof(128,plain,
! [X2] :
( ~ ssItem(X2)
| ~ memberP(nil,X2) ),
inference(variable_rename,[status(thm)],[127]) ).
cnf(129,plain,
( ~ memberP(nil,X1)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[128]) ).
fof(140,plain,
! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssItem(X2)
| ssList(cons(X2,X1)) ) ),
inference(fof_nnf,[status(thm)],[24]) ).
fof(141,plain,
! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssItem(X4)
| ssList(cons(X4,X3)) ) ),
inference(variable_rename,[status(thm)],[140]) ).
fof(142,plain,
! [X3,X4] :
( ~ ssItem(X4)
| ssList(cons(X4,X3))
| ~ ssList(X3) ),
inference(shift_quantors,[status(thm)],[141]) ).
cnf(143,plain,
( ssList(cons(X2,X1))
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[142]) ).
fof(144,plain,
! [X1] :
( ~ ssItem(X1)
| leq(X1,X1) ),
inference(fof_nnf,[status(thm)],[25]) ).
fof(145,plain,
! [X2] :
( ~ ssItem(X2)
| leq(X2,X2) ),
inference(variable_rename,[status(thm)],[144]) ).
cnf(146,plain,
( leq(X1,X1)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[145]) ).
fof(147,negated_conjecture,
? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& X2 = X4
& X1 = X3
& ? [X5] :
( ssItem(X5)
& ? [X6] :
( ssList(X6)
& ? [X7] :
( ssList(X7)
& app(app(X6,cons(X5,nil)),X7) = X1
& ? [X8] :
( ssItem(X8)
& ( ( memberP(X6,X8)
& ~ leq(X8,X5) )
| ( memberP(X7,X8)
& ~ leq(X5,X8) ) ) ) ) ) )
& ( nil = X3
| nil != X4 )
& ( ? [X9] :
( ssItem(X9)
& cons(X9,nil) = X3
& memberP(X4,X9) )
| ~ neq(X4,nil) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[29]) ).
fof(148,negated_conjecture,
? [X10] :
( ssList(X10)
& ? [X11] :
( ssList(X11)
& ? [X12] :
( ssList(X12)
& ? [X13] :
( ssList(X13)
& X11 = X13
& X10 = X12
& ? [X14] :
( ssItem(X14)
& ? [X15] :
( ssList(X15)
& ? [X16] :
( ssList(X16)
& app(app(X15,cons(X14,nil)),X16) = X10
& ? [X17] :
( ssItem(X17)
& ( ( memberP(X15,X17)
& ~ leq(X17,X14) )
| ( memberP(X16,X17)
& ~ leq(X14,X17) ) ) ) ) ) )
& ( nil = X12
| nil != X13 )
& ( ? [X18] :
( ssItem(X18)
& cons(X18,nil) = X12
& memberP(X13,X18) )
| ~ neq(X13,nil) ) ) ) ) ),
inference(variable_rename,[status(thm)],[147]) ).
fof(149,negated_conjecture,
( ssList(esk7_0)
& ssList(esk8_0)
& ssList(esk9_0)
& ssList(esk10_0)
& esk8_0 = esk10_0
& esk7_0 = esk9_0
& ssItem(esk11_0)
& ssList(esk12_0)
& ssList(esk13_0)
& app(app(esk12_0,cons(esk11_0,nil)),esk13_0) = esk7_0
& ssItem(esk14_0)
& ( ( memberP(esk12_0,esk14_0)
& ~ leq(esk14_0,esk11_0) )
| ( memberP(esk13_0,esk14_0)
& ~ leq(esk11_0,esk14_0) ) )
& ( nil = esk9_0
| nil != esk10_0 )
& ( ( ssItem(esk15_0)
& cons(esk15_0,nil) = esk9_0
& memberP(esk10_0,esk15_0) )
| ~ neq(esk10_0,nil) ) ),
inference(skolemize,[status(esa)],[148]) ).
fof(150,negated_conjecture,
( ssList(esk7_0)
& ssList(esk8_0)
& ssList(esk9_0)
& ssList(esk10_0)
& esk8_0 = esk10_0
& esk7_0 = esk9_0
& ssItem(esk11_0)
& ssList(esk12_0)
& ssList(esk13_0)
& app(app(esk12_0,cons(esk11_0,nil)),esk13_0) = esk7_0
& ssItem(esk14_0)
& ( memberP(esk13_0,esk14_0)
| memberP(esk12_0,esk14_0) )
& ( ~ leq(esk11_0,esk14_0)
| memberP(esk12_0,esk14_0) )
& ( memberP(esk13_0,esk14_0)
| ~ leq(esk14_0,esk11_0) )
& ( ~ leq(esk11_0,esk14_0)
| ~ leq(esk14_0,esk11_0) )
& ( nil = esk9_0
| nil != esk10_0 )
& ( ssItem(esk15_0)
| ~ neq(esk10_0,nil) )
& ( cons(esk15_0,nil) = esk9_0
| ~ neq(esk10_0,nil) )
& ( memberP(esk10_0,esk15_0)
| ~ neq(esk10_0,nil) ) ),
inference(distribute,[status(thm)],[149]) ).
cnf(152,negated_conjecture,
( cons(esk15_0,nil) = esk9_0
| ~ neq(esk10_0,nil) ),
inference(split_conjunct,[status(thm)],[150]) ).
cnf(153,negated_conjecture,
( ssItem(esk15_0)
| ~ neq(esk10_0,nil) ),
inference(split_conjunct,[status(thm)],[150]) ).
cnf(154,negated_conjecture,
( nil = esk9_0
| nil != esk10_0 ),
inference(split_conjunct,[status(thm)],[150]) ).
cnf(155,negated_conjecture,
( ~ leq(esk14_0,esk11_0)
| ~ leq(esk11_0,esk14_0) ),
inference(split_conjunct,[status(thm)],[150]) ).
cnf(158,negated_conjecture,
( memberP(esk12_0,esk14_0)
| memberP(esk13_0,esk14_0) ),
inference(split_conjunct,[status(thm)],[150]) ).
cnf(159,negated_conjecture,
ssItem(esk14_0),
inference(split_conjunct,[status(thm)],[150]) ).
cnf(160,negated_conjecture,
app(app(esk12_0,cons(esk11_0,nil)),esk13_0) = esk7_0,
inference(split_conjunct,[status(thm)],[150]) ).
cnf(161,negated_conjecture,
ssList(esk13_0),
inference(split_conjunct,[status(thm)],[150]) ).
cnf(162,negated_conjecture,
ssList(esk12_0),
inference(split_conjunct,[status(thm)],[150]) ).
cnf(163,negated_conjecture,
ssItem(esk11_0),
inference(split_conjunct,[status(thm)],[150]) ).
cnf(164,negated_conjecture,
esk7_0 = esk9_0,
inference(split_conjunct,[status(thm)],[150]) ).
cnf(165,negated_conjecture,
esk8_0 = esk10_0,
inference(split_conjunct,[status(thm)],[150]) ).
cnf(168,negated_conjecture,
ssList(esk8_0),
inference(split_conjunct,[status(thm)],[150]) ).
cnf(169,negated_conjecture,
ssList(esk7_0),
inference(split_conjunct,[status(thm)],[150]) ).
cnf(170,negated_conjecture,
ssList(esk9_0),
inference(rw,[status(thm)],[169,164,theory(equality)]) ).
cnf(171,negated_conjecture,
ssList(esk10_0),
inference(rw,[status(thm)],[168,165,theory(equality)]) ).
cnf(172,negated_conjecture,
app(app(esk12_0,cons(esk11_0,nil)),esk13_0) = esk9_0,
inference(rw,[status(thm)],[160,164,theory(equality)]) ).
cnf(180,negated_conjecture,
( ssItem(esk15_0)
| esk10_0 = nil
| ~ ssList(nil)
| ~ ssList(esk10_0) ),
inference(spm,[status(thm)],[153,106,theory(equality)]) ).
cnf(182,negated_conjecture,
( cons(esk15_0,nil) = esk9_0
| esk10_0 = nil
| ~ ssList(nil)
| ~ ssList(esk10_0) ),
inference(spm,[status(thm)],[152,106,theory(equality)]) ).
cnf(183,negated_conjecture,
( ssItem(esk15_0)
| esk10_0 = nil
| $false
| ~ ssList(esk10_0) ),
inference(rw,[status(thm)],[180,112,theory(equality)]) ).
cnf(184,negated_conjecture,
( ssItem(esk15_0)
| esk10_0 = nil
| ~ ssList(esk10_0) ),
inference(cn,[status(thm)],[183,theory(equality)]) ).
cnf(187,negated_conjecture,
( cons(esk15_0,nil) = esk9_0
| esk10_0 = nil
| $false
| ~ ssList(esk10_0) ),
inference(rw,[status(thm)],[182,112,theory(equality)]) ).
cnf(188,negated_conjecture,
( cons(esk15_0,nil) = esk9_0
| esk10_0 = nil
| ~ ssList(esk10_0) ),
inference(cn,[status(thm)],[187,theory(equality)]) ).
cnf(196,plain,
( app(X1,nil) = nil
| nil != X1
| ~ ssList(nil)
| ~ ssList(X1) ),
inference(er,[status(thm)],[37,theory(equality)]) ).
cnf(197,plain,
( app(X1,nil) = nil
| nil != X1
| $false
| ~ ssList(X1) ),
inference(rw,[status(thm)],[196,112,theory(equality)]) ).
cnf(198,plain,
( app(X1,nil) = nil
| nil != X1
| ~ ssList(X1) ),
inference(cn,[status(thm)],[197,theory(equality)]) ).
cnf(217,plain,
( memberP(cons(X1,X2),X1)
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(er,[status(thm)],[125,theory(equality)]) ).
cnf(218,negated_conjecture,
( memberP(app(X1,esk13_0),esk14_0)
| memberP(esk12_0,esk14_0)
| ~ ssItem(esk14_0)
| ~ ssList(esk13_0)
| ~ ssList(X1) ),
inference(spm,[status(thm)],[117,158,theory(equality)]) ).
cnf(219,negated_conjecture,
( memberP(app(X1,esk13_0),esk14_0)
| memberP(esk12_0,esk14_0)
| $false
| ~ ssList(esk13_0)
| ~ ssList(X1) ),
inference(rw,[status(thm)],[218,159,theory(equality)]) ).
cnf(220,negated_conjecture,
( memberP(app(X1,esk13_0),esk14_0)
| memberP(esk12_0,esk14_0)
| ~ ssList(esk13_0)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[219,theory(equality)]) ).
cnf(267,plain,
( ssList(app(X1,app(X2,X3)))
| ~ ssList(X3)
| ~ ssList(app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(spm,[status(thm)],[66,43,theory(equality)]) ).
cnf(309,plain,
( ssList(app(cons(X1,X2),X3))
| ~ ssItem(X1)
| ~ ssList(app(X2,X3))
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(spm,[status(thm)],[143,62,theory(equality)]) ).
cnf(316,plain,
( X1 = X2
| memberP(app(X3,X4),X1)
| ~ memberP(app(cons(X2,X3),X4),X1)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(app(X3,X4))
| ~ ssList(X3)
| ~ ssList(X4) ),
inference(spm,[status(thm)],[126,62,theory(equality)]) ).
cnf(345,negated_conjecture,
( ssItem(esk15_0)
| esk10_0 = nil
| $false ),
inference(rw,[status(thm)],[184,171,theory(equality)]) ).
cnf(346,negated_conjecture,
( ssItem(esk15_0)
| esk10_0 = nil ),
inference(cn,[status(thm)],[345,theory(equality)]) ).
cnf(370,negated_conjecture,
( cons(esk15_0,nil) = esk9_0
| esk10_0 = nil
| $false ),
inference(rw,[status(thm)],[188,171,theory(equality)]) ).
cnf(371,negated_conjecture,
( cons(esk15_0,nil) = esk9_0
| esk10_0 = nil ),
inference(cn,[status(thm)],[370,theory(equality)]) ).
cnf(378,negated_conjecture,
( X1 = esk15_0
| memberP(nil,X1)
| esk10_0 = nil
| ~ memberP(esk9_0,X1)
| ~ ssItem(esk15_0)
| ~ ssItem(X1)
| ~ ssList(nil) ),
inference(spm,[status(thm)],[126,371,theory(equality)]) ).
cnf(394,negated_conjecture,
( X1 = esk15_0
| memberP(nil,X1)
| esk10_0 = nil
| ~ memberP(esk9_0,X1)
| ~ ssItem(esk15_0)
| ~ ssItem(X1)
| $false ),
inference(rw,[status(thm)],[378,112,theory(equality)]) ).
cnf(395,negated_conjecture,
( X1 = esk15_0
| memberP(nil,X1)
| esk10_0 = nil
| ~ memberP(esk9_0,X1)
| ~ ssItem(esk15_0)
| ~ ssItem(X1) ),
inference(cn,[status(thm)],[394,theory(equality)]) ).
cnf(444,plain,
( memberP(app(X1,cons(X2,X3)),X2)
| ~ ssItem(X2)
| ~ ssList(cons(X2,X3))
| ~ ssList(X1)
| ~ ssList(X3) ),
inference(spm,[status(thm)],[117,217,theory(equality)]) ).
cnf(486,plain,
( app(nil,nil) = nil
| ~ ssList(nil) ),
inference(er,[status(thm)],[198,theory(equality)]) ).
cnf(487,plain,
( app(nil,nil) = nil
| $false ),
inference(rw,[status(thm)],[486,112,theory(equality)]) ).
cnf(488,plain,
app(nil,nil) = nil,
inference(cn,[status(thm)],[487,theory(equality)]) ).
cnf(505,plain,
( cons(X1,nil) = app(cons(X1,nil),nil)
| ~ ssItem(X1)
| ~ ssList(nil) ),
inference(spm,[status(thm)],[62,488,theory(equality)]) ).
cnf(522,plain,
( cons(X1,nil) = app(cons(X1,nil),nil)
| ~ ssItem(X1)
| $false ),
inference(rw,[status(thm)],[505,112,theory(equality)]) ).
cnf(523,plain,
( cons(X1,nil) = app(cons(X1,nil),nil)
| ~ ssItem(X1) ),
inference(cn,[status(thm)],[522,theory(equality)]) ).
cnf(669,negated_conjecture,
( memberP(app(X1,esk13_0),esk14_0)
| memberP(esk12_0,esk14_0)
| ~ ssList(X1) ),
inference(spm,[status(thm)],[220,161,theory(equality)]) ).
cnf(697,negated_conjecture,
( memberP(esk9_0,esk14_0)
| memberP(esk12_0,esk14_0)
| ~ ssList(app(esk12_0,cons(esk11_0,nil))) ),
inference(spm,[status(thm)],[669,172,theory(equality)]) ).
cnf(725,negated_conjecture,
( memberP(esk12_0,esk14_0)
| memberP(esk9_0,esk14_0)
| ~ ssList(cons(esk11_0,nil))
| ~ ssList(esk12_0) ),
inference(spm,[status(thm)],[697,66,theory(equality)]) ).
cnf(775,negated_conjecture,
( memberP(esk9_0,esk14_0)
| memberP(esk12_0,esk14_0)
| ~ ssList(cons(esk11_0,nil)) ),
inference(spm,[status(thm)],[725,162,theory(equality)]) ).
cnf(776,negated_conjecture,
( memberP(esk12_0,esk14_0)
| memberP(esk9_0,esk14_0)
| ~ ssItem(esk11_0)
| ~ ssList(nil) ),
inference(spm,[status(thm)],[775,143,theory(equality)]) ).
cnf(777,negated_conjecture,
( memberP(esk12_0,esk14_0)
| memberP(esk9_0,esk14_0)
| $false
| ~ ssList(nil) ),
inference(rw,[status(thm)],[776,163,theory(equality)]) ).
cnf(778,negated_conjecture,
( memberP(esk12_0,esk14_0)
| memberP(esk9_0,esk14_0)
| $false
| $false ),
inference(rw,[status(thm)],[777,112,theory(equality)]) ).
cnf(779,negated_conjecture,
( memberP(esk12_0,esk14_0)
| memberP(esk9_0,esk14_0) ),
inference(cn,[status(thm)],[778,theory(equality)]) ).
cnf(783,negated_conjecture,
( memberP(app(esk12_0,X1),esk14_0)
| memberP(esk9_0,esk14_0)
| ~ ssItem(esk14_0)
| ~ ssList(X1)
| ~ ssList(esk12_0) ),
inference(spm,[status(thm)],[118,779,theory(equality)]) ).
cnf(792,negated_conjecture,
( memberP(app(esk12_0,X1),esk14_0)
| memberP(esk9_0,esk14_0)
| $false
| ~ ssList(X1)
| ~ ssList(esk12_0) ),
inference(rw,[status(thm)],[783,159,theory(equality)]) ).
cnf(793,negated_conjecture,
( memberP(app(esk12_0,X1),esk14_0)
| memberP(esk9_0,esk14_0)
| ~ ssList(X1)
| ~ ssList(esk12_0) ),
inference(cn,[status(thm)],[792,theory(equality)]) ).
cnf(1151,negated_conjecture,
( memberP(app(esk12_0,X1),esk14_0)
| memberP(esk9_0,esk14_0)
| ~ ssList(X1) ),
inference(spm,[status(thm)],[793,162,theory(equality)]) ).
cnf(1949,plain,
( ssList(app(X1,app(X2,X3)))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X3) ),
inference(csr,[status(thm)],[267,66]) ).
cnf(1955,plain,
( ssList(app(X1,cons(X2,X3)))
| ~ ssList(X3)
| ~ ssList(cons(X2,nil))
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(spm,[status(thm)],[1949,47,theory(equality)]) ).
cnf(3946,plain,
( ssList(app(cons(X1,X2),X3))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(csr,[status(thm)],[309,66]) ).
cnf(3952,plain,
( ssList(cons(X1,nil))
| ~ ssItem(X1)
| ~ ssList(nil) ),
inference(spm,[status(thm)],[3946,523,theory(equality)]) ).
cnf(3965,plain,
( ssList(cons(X1,nil))
| ~ ssItem(X1)
| $false ),
inference(rw,[status(thm)],[3952,112,theory(equality)]) ).
cnf(3966,plain,
( ssList(cons(X1,nil))
| ~ ssItem(X1) ),
inference(cn,[status(thm)],[3965,theory(equality)]) ).
cnf(4315,plain,
( X1 = X2
| memberP(app(X3,X4),X1)
| ~ memberP(app(cons(X2,X3),X4),X1)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X3)
| ~ ssList(X4) ),
inference(csr,[status(thm)],[316,66]) ).
cnf(4324,plain,
( X1 = X2
| memberP(app(nil,nil),X1)
| ~ memberP(cons(X2,nil),X1)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(nil) ),
inference(spm,[status(thm)],[4315,523,theory(equality)]) ).
cnf(4346,plain,
( X1 = X2
| memberP(nil,X1)
| ~ memberP(cons(X2,nil),X1)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(nil) ),
inference(rw,[status(thm)],[4324,488,theory(equality)]) ).
cnf(4347,plain,
( X1 = X2
| memberP(nil,X1)
| ~ memberP(cons(X2,nil),X1)
| ~ ssItem(X2)
| ~ ssItem(X1)
| $false ),
inference(rw,[status(thm)],[4346,112,theory(equality)]) ).
cnf(4348,plain,
( X1 = X2
| memberP(nil,X1)
| ~ memberP(cons(X2,nil),X1)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(cn,[status(thm)],[4347,theory(equality)]) ).
cnf(5173,negated_conjecture,
( esk10_0 = nil
| X1 = esk15_0
| memberP(nil,X1)
| ~ memberP(esk9_0,X1)
| ~ ssItem(X1) ),
inference(csr,[status(thm)],[395,346]) ).
cnf(5174,negated_conjecture,
( esk10_0 = nil
| X1 = esk15_0
| ~ memberP(esk9_0,X1)
| ~ ssItem(X1) ),
inference(csr,[status(thm)],[5173,129]) ).
cnf(6396,plain,
( memberP(app(X1,cons(X2,X3)),X2)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X3) ),
inference(csr,[status(thm)],[444,143]) ).
cnf(6403,plain,
( memberP(app(app(X1,cons(X2,X3)),X4),X2)
| ~ ssItem(X2)
| ~ ssList(X4)
| ~ ssList(app(X1,cons(X2,X3)))
| ~ ssList(X1)
| ~ ssList(X3) ),
inference(spm,[status(thm)],[118,6396,theory(equality)]) ).
cnf(34212,plain,
( ssList(app(X1,cons(X2,X3)))
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X3) ),
inference(csr,[status(thm)],[1955,3966]) ).
cnf(166075,plain,
( X1 = X2
| ~ memberP(cons(X2,nil),X1)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(csr,[status(thm)],[4348,129]) ).
cnf(232902,plain,
( memberP(app(app(X1,cons(X2,X3)),X4),X2)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(X4) ),
inference(csr,[status(thm)],[6403,34212]) ).
cnf(232903,negated_conjecture,
( memberP(esk9_0,esk11_0)
| ~ ssItem(esk11_0)
| ~ ssList(esk13_0)
| ~ ssList(esk12_0)
| ~ ssList(nil) ),
inference(spm,[status(thm)],[232902,172,theory(equality)]) ).
cnf(233039,negated_conjecture,
( memberP(esk9_0,esk11_0)
| $false
| ~ ssList(esk13_0)
| ~ ssList(esk12_0)
| ~ ssList(nil) ),
inference(rw,[status(thm)],[232903,163,theory(equality)]) ).
cnf(233040,negated_conjecture,
( memberP(esk9_0,esk11_0)
| $false
| ~ ssList(esk13_0)
| ~ ssList(esk12_0)
| $false ),
inference(rw,[status(thm)],[233039,112,theory(equality)]) ).
cnf(233041,negated_conjecture,
( memberP(esk9_0,esk11_0)
| ~ ssList(esk13_0)
| ~ ssList(esk12_0) ),
inference(cn,[status(thm)],[233040,theory(equality)]) ).
cnf(233111,negated_conjecture,
( memberP(esk9_0,esk11_0)
| ~ ssList(esk12_0) ),
inference(spm,[status(thm)],[233041,161,theory(equality)]) ).
cnf(233112,negated_conjecture,
memberP(esk9_0,esk11_0),
inference(spm,[status(thm)],[233111,162,theory(equality)]) ).
cnf(233120,negated_conjecture,
( esk10_0 = nil
| esk11_0 = esk15_0
| ~ ssItem(esk11_0) ),
inference(spm,[status(thm)],[5174,233112,theory(equality)]) ).
cnf(233145,negated_conjecture,
( esk10_0 = nil
| esk11_0 = esk15_0
| $false ),
inference(rw,[status(thm)],[233120,163,theory(equality)]) ).
cnf(233146,negated_conjecture,
( esk10_0 = nil
| esk11_0 = esk15_0 ),
inference(cn,[status(thm)],[233145,theory(equality)]) ).
cnf(233156,negated_conjecture,
( cons(esk11_0,nil) = esk9_0
| esk10_0 = nil ),
inference(spm,[status(thm)],[371,233146,theory(equality)]) ).
cnf(233720,negated_conjecture,
( app(app(esk12_0,esk9_0),esk13_0) = esk9_0
| esk10_0 = nil ),
inference(spm,[status(thm)],[172,233156,theory(equality)]) ).
cnf(233933,negated_conjecture,
( X1 = esk11_0
| esk10_0 = nil
| ~ memberP(esk9_0,X1)
| ~ ssItem(esk11_0)
| ~ ssItem(X1) ),
inference(spm,[status(thm)],[166075,233156,theory(equality)]) ).
cnf(234614,negated_conjecture,
( X1 = esk11_0
| esk10_0 = nil
| ~ memberP(esk9_0,X1)
| $false
| ~ ssItem(X1) ),
inference(rw,[status(thm)],[233933,163,theory(equality)]) ).
cnf(234615,negated_conjecture,
( X1 = esk11_0
| esk10_0 = nil
| ~ memberP(esk9_0,X1)
| ~ ssItem(X1) ),
inference(cn,[status(thm)],[234614,theory(equality)]) ).
cnf(244967,negated_conjecture,
( esk9_0 = app(esk12_0,app(esk9_0,esk13_0))
| esk10_0 = nil
| ~ ssList(esk13_0)
| ~ ssList(esk9_0)
| ~ ssList(esk12_0) ),
inference(spm,[status(thm)],[43,233720,theory(equality)]) ).
cnf(245286,negated_conjecture,
( esk9_0 = app(esk12_0,app(esk9_0,esk13_0))
| esk10_0 = nil
| ~ ssList(esk13_0)
| $false
| ~ ssList(esk12_0) ),
inference(rw,[status(thm)],[244967,170,theory(equality)]) ).
cnf(245287,negated_conjecture,
( esk9_0 = app(esk12_0,app(esk9_0,esk13_0))
| esk10_0 = nil
| ~ ssList(esk13_0)
| ~ ssList(esk12_0) ),
inference(cn,[status(thm)],[245286,theory(equality)]) ).
cnf(262459,negated_conjecture,
( app(esk12_0,app(esk9_0,esk13_0)) = esk9_0
| esk10_0 = nil
| ~ ssList(esk12_0) ),
inference(spm,[status(thm)],[245287,161,theory(equality)]) ).
cnf(262552,negated_conjecture,
( app(esk12_0,app(esk9_0,esk13_0)) = esk9_0
| esk10_0 = nil ),
inference(spm,[status(thm)],[262459,162,theory(equality)]) ).
cnf(262564,negated_conjecture,
( memberP(esk9_0,esk14_0)
| esk10_0 = nil
| ~ ssList(app(esk9_0,esk13_0)) ),
inference(spm,[status(thm)],[1151,262552,theory(equality)]) ).
cnf(263107,negated_conjecture,
( esk10_0 = nil
| memberP(esk9_0,esk14_0)
| ~ ssList(esk13_0)
| ~ ssList(esk9_0) ),
inference(spm,[status(thm)],[262564,66,theory(equality)]) ).
cnf(263109,negated_conjecture,
( esk10_0 = nil
| memberP(esk9_0,esk14_0)
| ~ ssList(esk13_0)
| $false ),
inference(rw,[status(thm)],[263107,170,theory(equality)]) ).
cnf(263110,negated_conjecture,
( esk10_0 = nil
| memberP(esk9_0,esk14_0)
| ~ ssList(esk13_0) ),
inference(cn,[status(thm)],[263109,theory(equality)]) ).
cnf(263111,negated_conjecture,
( esk10_0 = nil
| memberP(esk9_0,esk14_0) ),
inference(spm,[status(thm)],[263110,161,theory(equality)]) ).
cnf(263122,negated_conjecture,
( esk10_0 = nil
| esk14_0 = esk11_0
| ~ ssItem(esk14_0) ),
inference(spm,[status(thm)],[234615,263111,theory(equality)]) ).
cnf(263153,negated_conjecture,
( esk10_0 = nil
| esk14_0 = esk11_0
| $false ),
inference(rw,[status(thm)],[263122,159,theory(equality)]) ).
cnf(263154,negated_conjecture,
( esk10_0 = nil
| esk14_0 = esk11_0 ),
inference(cn,[status(thm)],[263153,theory(equality)]) ).
cnf(263422,negated_conjecture,
( esk10_0 = nil
| ~ leq(esk14_0,esk14_0) ),
inference(spm,[status(thm)],[155,263154,theory(equality)]) ).
cnf(263559,negated_conjecture,
( esk10_0 = nil
| ~ ssItem(esk14_0) ),
inference(spm,[status(thm)],[263422,146,theory(equality)]) ).
cnf(263560,negated_conjecture,
( esk10_0 = nil
| $false ),
inference(rw,[status(thm)],[263559,159,theory(equality)]) ).
cnf(263561,negated_conjecture,
esk10_0 = nil,
inference(cn,[status(thm)],[263560,theory(equality)]) ).
cnf(266407,negated_conjecture,
( esk9_0 = nil
| $false ),
inference(rw,[status(thm)],[154,263561,theory(equality)]) ).
cnf(266408,negated_conjecture,
esk9_0 = nil,
inference(cn,[status(thm)],[266407,theory(equality)]) ).
cnf(266414,negated_conjecture,
memberP(nil,esk11_0),
inference(rw,[status(thm)],[233112,266408,theory(equality)]) ).
cnf(267528,negated_conjecture,
~ ssItem(esk11_0),
inference(spm,[status(thm)],[129,266414,theory(equality)]) ).
cnf(267536,negated_conjecture,
$false,
inference(rw,[status(thm)],[267528,163,theory(equality)]) ).
cnf(267537,negated_conjecture,
$false,
inference(cn,[status(thm)],[267536,theory(equality)]) ).
cnf(267538,negated_conjecture,
$false,
267537,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWC/SWC284+1.p
% --creating new selector for [SWC001+0.ax]
% -running prover on /tmp/tmp-4mecI/sel_SWC284+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWC284+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWC/SWC284+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWC/SWC284+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
%
%------------------------------------------------------------------------------