TSTP Solution File: SWC412+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SWC412+1 : TPTP v5.0.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art11.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory : 2006MB
% OS : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Sun Dec 26 11:50:03 EST 2010
% Result : Theorem 88.05s
% Output : CNFRefutation 88.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 1
% Syntax : Number of formulae : 113 ( 13 unt; 0 def)
% Number of atoms : 753 ( 224 equ)
% Maximal formula atoms : 156 ( 6 avg)
% Number of connectives : 989 ( 349 ~; 452 |; 155 &)
% ( 0 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 62 ( 6 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 14 con; 0-2 aty)
% Number of variables : 221 ( 0 sgn 69 !; 44 ?)
% Comments :
%------------------------------------------------------------------------------
fof(17,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) = X4 ) ) )
| ! [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(X12,nil),X13),cons(X11,nil)) != X3
& app(app(cons(X11,nil),X13),cons(X12,nil)) = X4 ) ) )
| ! [X14] :
( ssItem(X14)
=> ! [X15] :
( ssItem(X15)
=> ! [X16] :
( ssList(X16)
=> app(app(cons(X14,nil),cons(X15,nil)),X16) != X2 ) ) )
| ! [X17] :
( ssItem(X17)
=> ! [X18] :
( ssItem(X18)
=> ! [X19] :
( ~ ssList(X19)
| app(app(cons(X17,nil),X19),cons(X18,nil)) != X2
| app(app(cons(X18,nil),X19),cons(X17,nil)) = X1 ) ) ) ) ) ) ) ) ),
file('/tmp/tmpGZsnON/sel_SWC412+1.p_2',co1) ).
fof(18,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) = X4 ) ) )
| ! [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(X12,nil),X13),cons(X11,nil)) != X3
& app(app(cons(X11,nil),X13),cons(X12,nil)) = X4 ) ) )
| ! [X14] :
( ssItem(X14)
=> ! [X15] :
( ssItem(X15)
=> ! [X16] :
( ssList(X16)
=> app(app(cons(X14,nil),cons(X15,nil)),X16) != X2 ) ) )
| ! [X17] :
( ssItem(X17)
=> ! [X18] :
( ssItem(X18)
=> ! [X19] :
( ~ ssList(X19)
| app(app(cons(X17,nil),X19),cons(X18,nil)) != X2
| app(app(cons(X18,nil),X19),cons(X17,nil)) = X1 ) ) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[17]) ).
fof(19,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) = X4 ) ) )
| ! [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(X12,nil),X13),cons(X11,nil)) != X3
& app(app(cons(X11,nil),X13),cons(X12,nil)) = X4 ) ) )
| ! [X14] :
( ssItem(X14)
=> ! [X15] :
( ssItem(X15)
=> ! [X16] :
( ssList(X16)
=> app(app(cons(X14,nil),cons(X15,nil)),X16) != X2 ) ) )
| ! [X17] :
( ssItem(X17)
=> ! [X18] :
( ssItem(X18)
=> ! [X19] :
( ~ ssList(X19)
| app(app(cons(X17,nil),X19),cons(X18,nil)) != X2
| app(app(cons(X18,nil),X19),cons(X17,nil)) = X1 ) ) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[18,theory(equality)]) ).
fof(88,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) != X4 ) ) )
& ? [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(X12,nil),X13),cons(X11,nil)) = X3
| app(app(cons(X11,nil),X13),cons(X12,nil)) != X4 ) ) )
& ? [X14] :
( ssItem(X14)
& ? [X15] :
( ssItem(X15)
& ? [X16] :
( ssList(X16)
& app(app(cons(X14,nil),cons(X15,nil)),X16) = X2 ) ) )
& ? [X17] :
( ssItem(X17)
& ? [X18] :
( ssItem(X18)
& ? [X19] :
( ssList(X19)
& app(app(cons(X17,nil),X19),cons(X18,nil)) = X2
& app(app(cons(X18,nil),X19),cons(X17,nil)) != X1 ) ) ) ) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[19]) ).
fof(89,negated_conjecture,
? [X20] :
( ssList(X20)
& ? [X21] :
( ssList(X21)
& ? [X22] :
( ssList(X22)
& ? [X23] :
( ssList(X23)
& X21 = X23
& X20 = X22
& ( ( ! [X24] :
( ~ ssItem(X24)
| ! [X25] :
( ~ ssItem(X25)
| ! [X26] :
( ~ ssList(X26)
| app(app(cons(X24,nil),cons(X25,nil)),X26) != X23 ) ) )
& ? [X27] :
( ssItem(X27)
& ? [X28] :
( ssItem(X28)
& ? [X29] :
( ssList(X29)
& app(app(cons(X27,nil),cons(X28,nil)),X29) = X21 ) ) ) )
| ( ! [X30] :
( ~ ssItem(X30)
| ! [X31] :
( ~ ssItem(X31)
| ! [X32] :
( ~ ssList(X32)
| app(app(cons(X31,nil),X32),cons(X30,nil)) = X22
| app(app(cons(X30,nil),X32),cons(X31,nil)) != X23 ) ) )
& ? [X33] :
( ssItem(X33)
& ? [X34] :
( ssItem(X34)
& ? [X35] :
( ssList(X35)
& app(app(cons(X33,nil),cons(X34,nil)),X35) = X21 ) ) )
& ? [X36] :
( ssItem(X36)
& ? [X37] :
( ssItem(X37)
& ? [X38] :
( ssList(X38)
& app(app(cons(X36,nil),X38),cons(X37,nil)) = X21
& app(app(cons(X37,nil),X38),cons(X36,nil)) != X20 ) ) ) ) ) ) ) ) ),
inference(variable_rename,[status(thm)],[88]) ).
fof(90,negated_conjecture,
( ssList(esk5_0)
& ssList(esk6_0)
& ssList(esk7_0)
& ssList(esk8_0)
& esk6_0 = esk8_0
& esk5_0 = esk7_0
& ( ( ! [X24] :
( ~ ssItem(X24)
| ! [X25] :
( ~ ssItem(X25)
| ! [X26] :
( ~ ssList(X26)
| app(app(cons(X24,nil),cons(X25,nil)),X26) != esk8_0 ) ) )
& ssItem(esk9_0)
& ssItem(esk10_0)
& ssList(esk11_0)
& app(app(cons(esk9_0,nil),cons(esk10_0,nil)),esk11_0) = esk6_0 )
| ( ! [X30] :
( ~ ssItem(X30)
| ! [X31] :
( ~ ssItem(X31)
| ! [X32] :
( ~ ssList(X32)
| app(app(cons(X31,nil),X32),cons(X30,nil)) = esk7_0
| app(app(cons(X30,nil),X32),cons(X31,nil)) != esk8_0 ) ) )
& ssItem(esk12_0)
& ssItem(esk13_0)
& ssList(esk14_0)
& app(app(cons(esk12_0,nil),cons(esk13_0,nil)),esk14_0) = esk6_0
& ssItem(esk15_0)
& ssItem(esk16_0)
& ssList(esk17_0)
& app(app(cons(esk15_0,nil),esk17_0),cons(esk16_0,nil)) = esk6_0
& app(app(cons(esk16_0,nil),esk17_0),cons(esk15_0,nil)) != esk5_0 ) ) ),
inference(skolemize,[status(esa)],[89]) ).
fof(91,negated_conjecture,
! [X24,X25,X26,X30,X31,X32] :
( ( ( ( ~ ssList(X32)
| app(app(cons(X31,nil),X32),cons(X30,nil)) = esk7_0
| app(app(cons(X30,nil),X32),cons(X31,nil)) != esk8_0
| ~ ssItem(X31)
| ~ ssItem(X30) )
& ssItem(esk12_0)
& ssItem(esk13_0)
& ssList(esk14_0)
& app(app(cons(esk12_0,nil),cons(esk13_0,nil)),esk14_0) = esk6_0
& ssItem(esk15_0)
& ssItem(esk16_0)
& ssList(esk17_0)
& app(app(cons(esk15_0,nil),esk17_0),cons(esk16_0,nil)) = esk6_0
& app(app(cons(esk16_0,nil),esk17_0),cons(esk15_0,nil)) != esk5_0 )
| ( ( ~ ssList(X26)
| app(app(cons(X24,nil),cons(X25,nil)),X26) != esk8_0
| ~ ssItem(X25)
| ~ ssItem(X24) )
& ssItem(esk9_0)
& ssItem(esk10_0)
& ssList(esk11_0)
& app(app(cons(esk9_0,nil),cons(esk10_0,nil)),esk11_0) = esk6_0 ) )
& ssList(esk8_0)
& esk6_0 = esk8_0
& esk5_0 = esk7_0
& ssList(esk7_0)
& ssList(esk6_0)
& ssList(esk5_0) ),
inference(shift_quantors,[status(thm)],[90]) ).
fof(92,negated_conjecture,
! [X24,X25,X26,X30,X31,X32] :
( ( ~ ssList(X26)
| app(app(cons(X24,nil),cons(X25,nil)),X26) != esk8_0
| ~ ssItem(X25)
| ~ ssItem(X24)
| ~ ssList(X32)
| app(app(cons(X31,nil),X32),cons(X30,nil)) = esk7_0
| app(app(cons(X30,nil),X32),cons(X31,nil)) != esk8_0
| ~ ssItem(X31)
| ~ ssItem(X30) )
& ( ssItem(esk9_0)
| ~ ssList(X32)
| app(app(cons(X31,nil),X32),cons(X30,nil)) = esk7_0
| app(app(cons(X30,nil),X32),cons(X31,nil)) != esk8_0
| ~ ssItem(X31)
| ~ ssItem(X30) )
& ( ssItem(esk10_0)
| ~ ssList(X32)
| app(app(cons(X31,nil),X32),cons(X30,nil)) = esk7_0
| app(app(cons(X30,nil),X32),cons(X31,nil)) != esk8_0
| ~ ssItem(X31)
| ~ ssItem(X30) )
& ( ssList(esk11_0)
| ~ ssList(X32)
| app(app(cons(X31,nil),X32),cons(X30,nil)) = esk7_0
| app(app(cons(X30,nil),X32),cons(X31,nil)) != esk8_0
| ~ ssItem(X31)
| ~ ssItem(X30) )
& ( app(app(cons(esk9_0,nil),cons(esk10_0,nil)),esk11_0) = esk6_0
| ~ ssList(X32)
| app(app(cons(X31,nil),X32),cons(X30,nil)) = esk7_0
| app(app(cons(X30,nil),X32),cons(X31,nil)) != esk8_0
| ~ ssItem(X31)
| ~ ssItem(X30) )
& ( ~ ssList(X26)
| app(app(cons(X24,nil),cons(X25,nil)),X26) != esk8_0
| ~ ssItem(X25)
| ~ ssItem(X24)
| ssItem(esk12_0) )
& ( ssItem(esk9_0)
| ssItem(esk12_0) )
& ( ssItem(esk10_0)
| ssItem(esk12_0) )
& ( ssList(esk11_0)
| ssItem(esk12_0) )
& ( app(app(cons(esk9_0,nil),cons(esk10_0,nil)),esk11_0) = esk6_0
| ssItem(esk12_0) )
& ( ~ ssList(X26)
| app(app(cons(X24,nil),cons(X25,nil)),X26) != esk8_0
| ~ ssItem(X25)
| ~ ssItem(X24)
| ssItem(esk13_0) )
& ( ssItem(esk9_0)
| ssItem(esk13_0) )
& ( ssItem(esk10_0)
| ssItem(esk13_0) )
& ( ssList(esk11_0)
| ssItem(esk13_0) )
& ( app(app(cons(esk9_0,nil),cons(esk10_0,nil)),esk11_0) = esk6_0
| ssItem(esk13_0) )
& ( ~ ssList(X26)
| app(app(cons(X24,nil),cons(X25,nil)),X26) != esk8_0
| ~ ssItem(X25)
| ~ ssItem(X24)
| ssList(esk14_0) )
& ( ssItem(esk9_0)
| ssList(esk14_0) )
& ( ssItem(esk10_0)
| ssList(esk14_0) )
& ( ssList(esk11_0)
| ssList(esk14_0) )
& ( app(app(cons(esk9_0,nil),cons(esk10_0,nil)),esk11_0) = esk6_0
| ssList(esk14_0) )
& ( ~ ssList(X26)
| app(app(cons(X24,nil),cons(X25,nil)),X26) != esk8_0
| ~ ssItem(X25)
| ~ ssItem(X24)
| app(app(cons(esk12_0,nil),cons(esk13_0,nil)),esk14_0) = esk6_0 )
& ( ssItem(esk9_0)
| app(app(cons(esk12_0,nil),cons(esk13_0,nil)),esk14_0) = esk6_0 )
& ( ssItem(esk10_0)
| app(app(cons(esk12_0,nil),cons(esk13_0,nil)),esk14_0) = esk6_0 )
& ( ssList(esk11_0)
| app(app(cons(esk12_0,nil),cons(esk13_0,nil)),esk14_0) = esk6_0 )
& ( app(app(cons(esk9_0,nil),cons(esk10_0,nil)),esk11_0) = esk6_0
| app(app(cons(esk12_0,nil),cons(esk13_0,nil)),esk14_0) = esk6_0 )
& ( ~ ssList(X26)
| app(app(cons(X24,nil),cons(X25,nil)),X26) != esk8_0
| ~ ssItem(X25)
| ~ ssItem(X24)
| ssItem(esk15_0) )
& ( ssItem(esk9_0)
| ssItem(esk15_0) )
& ( ssItem(esk10_0)
| ssItem(esk15_0) )
& ( ssList(esk11_0)
| ssItem(esk15_0) )
& ( app(app(cons(esk9_0,nil),cons(esk10_0,nil)),esk11_0) = esk6_0
| ssItem(esk15_0) )
& ( ~ ssList(X26)
| app(app(cons(X24,nil),cons(X25,nil)),X26) != esk8_0
| ~ ssItem(X25)
| ~ ssItem(X24)
| ssItem(esk16_0) )
& ( ssItem(esk9_0)
| ssItem(esk16_0) )
& ( ssItem(esk10_0)
| ssItem(esk16_0) )
& ( ssList(esk11_0)
| ssItem(esk16_0) )
& ( app(app(cons(esk9_0,nil),cons(esk10_0,nil)),esk11_0) = esk6_0
| ssItem(esk16_0) )
& ( ~ ssList(X26)
| app(app(cons(X24,nil),cons(X25,nil)),X26) != esk8_0
| ~ ssItem(X25)
| ~ ssItem(X24)
| ssList(esk17_0) )
& ( ssItem(esk9_0)
| ssList(esk17_0) )
& ( ssItem(esk10_0)
| ssList(esk17_0) )
& ( ssList(esk11_0)
| ssList(esk17_0) )
& ( app(app(cons(esk9_0,nil),cons(esk10_0,nil)),esk11_0) = esk6_0
| ssList(esk17_0) )
& ( ~ ssList(X26)
| app(app(cons(X24,nil),cons(X25,nil)),X26) != esk8_0
| ~ ssItem(X25)
| ~ ssItem(X24)
| app(app(cons(esk15_0,nil),esk17_0),cons(esk16_0,nil)) = esk6_0 )
& ( ssItem(esk9_0)
| app(app(cons(esk15_0,nil),esk17_0),cons(esk16_0,nil)) = esk6_0 )
& ( ssItem(esk10_0)
| app(app(cons(esk15_0,nil),esk17_0),cons(esk16_0,nil)) = esk6_0 )
& ( ssList(esk11_0)
| app(app(cons(esk15_0,nil),esk17_0),cons(esk16_0,nil)) = esk6_0 )
& ( app(app(cons(esk9_0,nil),cons(esk10_0,nil)),esk11_0) = esk6_0
| app(app(cons(esk15_0,nil),esk17_0),cons(esk16_0,nil)) = esk6_0 )
& ( ~ ssList(X26)
| app(app(cons(X24,nil),cons(X25,nil)),X26) != esk8_0
| ~ ssItem(X25)
| ~ ssItem(X24)
| app(app(cons(esk16_0,nil),esk17_0),cons(esk15_0,nil)) != esk5_0 )
& ( ssItem(esk9_0)
| app(app(cons(esk16_0,nil),esk17_0),cons(esk15_0,nil)) != esk5_0 )
& ( ssItem(esk10_0)
| app(app(cons(esk16_0,nil),esk17_0),cons(esk15_0,nil)) != esk5_0 )
& ( ssList(esk11_0)
| app(app(cons(esk16_0,nil),esk17_0),cons(esk15_0,nil)) != esk5_0 )
& ( app(app(cons(esk9_0,nil),cons(esk10_0,nil)),esk11_0) = esk6_0
| app(app(cons(esk16_0,nil),esk17_0),cons(esk15_0,nil)) != esk5_0 )
& ssList(esk8_0)
& esk6_0 = esk8_0
& esk5_0 = esk7_0
& ssList(esk7_0)
& ssList(esk6_0)
& ssList(esk5_0) ),
inference(distribute,[status(thm)],[91]) ).
cnf(96,negated_conjecture,
esk5_0 = esk7_0,
inference(split_conjunct,[status(thm)],[92]) ).
cnf(97,negated_conjecture,
esk6_0 = esk8_0,
inference(split_conjunct,[status(thm)],[92]) ).
cnf(99,negated_conjecture,
( app(app(cons(esk9_0,nil),cons(esk10_0,nil)),esk11_0) = esk6_0
| app(app(cons(esk16_0,nil),esk17_0),cons(esk15_0,nil)) != esk5_0 ),
inference(split_conjunct,[status(thm)],[92]) ).
cnf(100,negated_conjecture,
( ssList(esk11_0)
| app(app(cons(esk16_0,nil),esk17_0),cons(esk15_0,nil)) != esk5_0 ),
inference(split_conjunct,[status(thm)],[92]) ).
cnf(101,negated_conjecture,
( ssItem(esk10_0)
| app(app(cons(esk16_0,nil),esk17_0),cons(esk15_0,nil)) != esk5_0 ),
inference(split_conjunct,[status(thm)],[92]) ).
cnf(102,negated_conjecture,
( ssItem(esk9_0)
| app(app(cons(esk16_0,nil),esk17_0),cons(esk15_0,nil)) != esk5_0 ),
inference(split_conjunct,[status(thm)],[92]) ).
cnf(103,negated_conjecture,
( app(app(cons(esk16_0,nil),esk17_0),cons(esk15_0,nil)) != esk5_0
| ~ ssItem(X1)
| ~ ssItem(X2)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk8_0
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[92]) ).
cnf(104,negated_conjecture,
( app(app(cons(esk15_0,nil),esk17_0),cons(esk16_0,nil)) = esk6_0
| app(app(cons(esk9_0,nil),cons(esk10_0,nil)),esk11_0) = esk6_0 ),
inference(split_conjunct,[status(thm)],[92]) ).
cnf(105,negated_conjecture,
( app(app(cons(esk15_0,nil),esk17_0),cons(esk16_0,nil)) = esk6_0
| ssList(esk11_0) ),
inference(split_conjunct,[status(thm)],[92]) ).
cnf(106,negated_conjecture,
( app(app(cons(esk15_0,nil),esk17_0),cons(esk16_0,nil)) = esk6_0
| ssItem(esk10_0) ),
inference(split_conjunct,[status(thm)],[92]) ).
cnf(107,negated_conjecture,
( app(app(cons(esk15_0,nil),esk17_0),cons(esk16_0,nil)) = esk6_0
| ssItem(esk9_0) ),
inference(split_conjunct,[status(thm)],[92]) ).
cnf(108,negated_conjecture,
( app(app(cons(esk15_0,nil),esk17_0),cons(esk16_0,nil)) = esk6_0
| ~ ssItem(X1)
| ~ ssItem(X2)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk8_0
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[92]) ).
cnf(109,negated_conjecture,
( ssList(esk17_0)
| app(app(cons(esk9_0,nil),cons(esk10_0,nil)),esk11_0) = esk6_0 ),
inference(split_conjunct,[status(thm)],[92]) ).
cnf(110,negated_conjecture,
( ssList(esk17_0)
| ssList(esk11_0) ),
inference(split_conjunct,[status(thm)],[92]) ).
cnf(111,negated_conjecture,
( ssList(esk17_0)
| ssItem(esk10_0) ),
inference(split_conjunct,[status(thm)],[92]) ).
cnf(112,negated_conjecture,
( ssList(esk17_0)
| ssItem(esk9_0) ),
inference(split_conjunct,[status(thm)],[92]) ).
cnf(113,negated_conjecture,
( ssList(esk17_0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk8_0
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[92]) ).
cnf(114,negated_conjecture,
( ssItem(esk16_0)
| app(app(cons(esk9_0,nil),cons(esk10_0,nil)),esk11_0) = esk6_0 ),
inference(split_conjunct,[status(thm)],[92]) ).
cnf(115,negated_conjecture,
( ssItem(esk16_0)
| ssList(esk11_0) ),
inference(split_conjunct,[status(thm)],[92]) ).
cnf(116,negated_conjecture,
( ssItem(esk16_0)
| ssItem(esk10_0) ),
inference(split_conjunct,[status(thm)],[92]) ).
cnf(117,negated_conjecture,
( ssItem(esk16_0)
| ssItem(esk9_0) ),
inference(split_conjunct,[status(thm)],[92]) ).
cnf(118,negated_conjecture,
( ssItem(esk16_0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk8_0
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[92]) ).
cnf(119,negated_conjecture,
( ssItem(esk15_0)
| app(app(cons(esk9_0,nil),cons(esk10_0,nil)),esk11_0) = esk6_0 ),
inference(split_conjunct,[status(thm)],[92]) ).
cnf(120,negated_conjecture,
( ssItem(esk15_0)
| ssList(esk11_0) ),
inference(split_conjunct,[status(thm)],[92]) ).
cnf(121,negated_conjecture,
( ssItem(esk15_0)
| ssItem(esk10_0) ),
inference(split_conjunct,[status(thm)],[92]) ).
cnf(122,negated_conjecture,
( ssItem(esk15_0)
| ssItem(esk9_0) ),
inference(split_conjunct,[status(thm)],[92]) ).
cnf(123,negated_conjecture,
( ssItem(esk15_0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk8_0
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[92]) ).
cnf(144,negated_conjecture,
( app(app(cons(X2,nil),X3),cons(X1,nil)) = esk7_0
| app(app(cons(esk9_0,nil),cons(esk10_0,nil)),esk11_0) = esk6_0
| ~ ssItem(X1)
| ~ ssItem(X2)
| app(app(cons(X1,nil),X3),cons(X2,nil)) != esk8_0
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[92]) ).
cnf(145,negated_conjecture,
( app(app(cons(X2,nil),X3),cons(X1,nil)) = esk7_0
| ssList(esk11_0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| app(app(cons(X1,nil),X3),cons(X2,nil)) != esk8_0
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[92]) ).
cnf(146,negated_conjecture,
( app(app(cons(X2,nil),X3),cons(X1,nil)) = esk7_0
| ssItem(esk10_0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| app(app(cons(X1,nil),X3),cons(X2,nil)) != esk8_0
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[92]) ).
cnf(147,negated_conjecture,
( app(app(cons(X2,nil),X3),cons(X1,nil)) = esk7_0
| ssItem(esk9_0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| app(app(cons(X1,nil),X3),cons(X2,nil)) != esk8_0
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[92]) ).
cnf(148,negated_conjecture,
( app(app(cons(X2,nil),X3),cons(X1,nil)) = esk7_0
| ~ ssItem(X1)
| ~ ssItem(X2)
| app(app(cons(X1,nil),X3),cons(X2,nil)) != esk8_0
| ~ ssList(X3)
| ~ ssItem(X4)
| ~ ssItem(X5)
| app(app(cons(X4,nil),cons(X5,nil)),X6) != esk8_0
| ~ ssList(X6) ),
inference(split_conjunct,[status(thm)],[92]) ).
cnf(412,negated_conjecture,
( ssItem(esk15_0)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk6_0
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X3) ),
inference(rw,[status(thm)],[123,97,theory(equality)]) ).
cnf(416,negated_conjecture,
( ssItem(esk15_0)
| ~ ssList(esk11_0)
| ~ ssItem(esk10_0)
| ~ ssItem(esk9_0) ),
inference(spm,[status(thm)],[412,119,theory(equality)]) ).
cnf(426,negated_conjecture,
( ssItem(esk16_0)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk6_0
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X3) ),
inference(rw,[status(thm)],[118,97,theory(equality)]) ).
cnf(431,negated_conjecture,
( ssItem(esk16_0)
| ~ ssList(esk11_0)
| ~ ssItem(esk10_0)
| ~ ssItem(esk9_0) ),
inference(spm,[status(thm)],[426,114,theory(equality)]) ).
cnf(454,negated_conjecture,
( ssList(esk17_0)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk6_0
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X3) ),
inference(rw,[status(thm)],[113,97,theory(equality)]) ).
cnf(461,negated_conjecture,
( ssList(esk17_0)
| ~ ssList(esk11_0)
| ~ ssItem(esk10_0)
| ~ ssItem(esk9_0) ),
inference(spm,[status(thm)],[454,109,theory(equality)]) ).
cnf(468,negated_conjecture,
( app(app(cons(X2,nil),X3),cons(X1,nil)) = esk5_0
| ssItem(esk9_0)
| app(app(cons(X1,nil),X3),cons(X2,nil)) != esk8_0
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X3) ),
inference(rw,[status(thm)],[147,96,theory(equality)]) ).
cnf(469,negated_conjecture,
( app(app(cons(X2,nil),X3),cons(X1,nil)) = esk5_0
| ssItem(esk9_0)
| app(app(cons(X1,nil),X3),cons(X2,nil)) != esk6_0
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X3) ),
inference(rw,[status(thm)],[468,97,theory(equality)]) ).
cnf(470,negated_conjecture,
( app(app(cons(esk16_0,nil),esk17_0),cons(esk15_0,nil)) = esk5_0
| ssItem(esk9_0)
| ~ ssList(esk17_0)
| ~ ssItem(esk16_0)
| ~ ssItem(esk15_0) ),
inference(spm,[status(thm)],[469,107,theory(equality)]) ).
cnf(474,negated_conjecture,
( app(app(cons(esk15_0,nil),esk17_0),cons(esk16_0,nil)) = esk6_0
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk6_0
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X3) ),
inference(rw,[status(thm)],[108,97,theory(equality)]) ).
cnf(485,negated_conjecture,
( app(app(cons(esk15_0,nil),esk17_0),cons(esk16_0,nil)) = esk6_0
| ~ ssList(esk11_0)
| ~ ssItem(esk10_0)
| ~ ssItem(esk9_0) ),
inference(spm,[status(thm)],[474,104,theory(equality)]) ).
cnf(502,negated_conjecture,
( app(app(cons(X1,nil),cons(X2,nil)),X3) != esk6_0
| app(app(cons(esk16_0,nil),esk17_0),cons(esk15_0,nil)) != esk5_0
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X3) ),
inference(rw,[status(thm)],[103,97,theory(equality)]) ).
cnf(515,negated_conjecture,
( app(app(cons(esk16_0,nil),esk17_0),cons(esk15_0,nil)) != esk5_0
| ~ ssList(esk11_0)
| ~ ssItem(esk10_0)
| ~ ssItem(esk9_0) ),
inference(spm,[status(thm)],[502,99,theory(equality)]) ).
cnf(516,negated_conjecture,
( app(app(cons(X2,nil),X3),cons(X1,nil)) = esk5_0
| ssItem(esk10_0)
| app(app(cons(X1,nil),X3),cons(X2,nil)) != esk8_0
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X3) ),
inference(rw,[status(thm)],[146,96,theory(equality)]) ).
cnf(517,negated_conjecture,
( app(app(cons(X2,nil),X3),cons(X1,nil)) = esk5_0
| ssItem(esk10_0)
| app(app(cons(X1,nil),X3),cons(X2,nil)) != esk6_0
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X3) ),
inference(rw,[status(thm)],[516,97,theory(equality)]) ).
cnf(522,negated_conjecture,
( app(app(cons(X2,nil),X3),cons(X1,nil)) = esk5_0
| ssList(esk11_0)
| app(app(cons(X1,nil),X3),cons(X2,nil)) != esk8_0
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X3) ),
inference(rw,[status(thm)],[145,96,theory(equality)]) ).
cnf(523,negated_conjecture,
( app(app(cons(X2,nil),X3),cons(X1,nil)) = esk5_0
| ssList(esk11_0)
| app(app(cons(X1,nil),X3),cons(X2,nil)) != esk6_0
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X3) ),
inference(rw,[status(thm)],[522,97,theory(equality)]) ).
cnf(528,negated_conjecture,
( app(app(cons(X2,nil),X3),cons(X1,nil)) = esk5_0
| app(app(cons(esk9_0,nil),cons(esk10_0,nil)),esk11_0) = esk6_0
| app(app(cons(X1,nil),X3),cons(X2,nil)) != esk8_0
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X3) ),
inference(rw,[status(thm)],[144,96,theory(equality)]) ).
cnf(529,negated_conjecture,
( app(app(cons(X2,nil),X3),cons(X1,nil)) = esk5_0
| app(app(cons(esk9_0,nil),cons(esk10_0,nil)),esk11_0) = esk6_0
| app(app(cons(X1,nil),X3),cons(X2,nil)) != esk6_0
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X3) ),
inference(rw,[status(thm)],[528,97,theory(equality)]) ).
cnf(534,negated_conjecture,
( app(app(cons(X2,nil),X3),cons(X1,nil)) = esk5_0
| app(app(cons(X1,nil),X3),cons(X2,nil)) != esk8_0
| app(app(cons(X4,nil),cons(X5,nil)),X6) != esk8_0
| ~ ssItem(X5)
| ~ ssItem(X4)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X6)
| ~ ssList(X3) ),
inference(rw,[status(thm)],[148,96,theory(equality)]) ).
cnf(535,negated_conjecture,
( app(app(cons(X2,nil),X3),cons(X1,nil)) = esk5_0
| app(app(cons(X1,nil),X3),cons(X2,nil)) != esk6_0
| app(app(cons(X4,nil),cons(X5,nil)),X6) != esk8_0
| ~ ssItem(X5)
| ~ ssItem(X4)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X6)
| ~ ssList(X3) ),
inference(rw,[status(thm)],[534,97,theory(equality)]) ).
cnf(536,negated_conjecture,
( app(app(cons(X2,nil),X3),cons(X1,nil)) = esk5_0
| app(app(cons(X1,nil),X3),cons(X2,nil)) != esk6_0
| app(app(cons(X4,nil),cons(X5,nil)),X6) != esk6_0
| ~ ssItem(X5)
| ~ ssItem(X4)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X6)
| ~ ssList(X3) ),
inference(rw,[status(thm)],[535,97,theory(equality)]) ).
cnf(569,negated_conjecture,
( app(app(cons(esk16_0,nil),esk17_0),cons(esk15_0,nil)) != esk5_0
| ~ ssList(esk11_0)
| ~ ssItem(esk10_0) ),
inference(csr,[status(thm)],[515,102]) ).
cnf(570,negated_conjecture,
( app(app(cons(esk16_0,nil),esk17_0),cons(esk15_0,nil)) != esk5_0
| ~ ssList(esk11_0) ),
inference(csr,[status(thm)],[569,101]) ).
cnf(571,negated_conjecture,
app(app(cons(esk16_0,nil),esk17_0),cons(esk15_0,nil)) != esk5_0,
inference(csr,[status(thm)],[570,100]) ).
cnf(639,negated_conjecture,
( ssItem(esk15_0)
| ~ ssList(esk11_0)
| ~ ssItem(esk10_0) ),
inference(csr,[status(thm)],[416,122]) ).
cnf(640,negated_conjecture,
( ssItem(esk15_0)
| ~ ssList(esk11_0) ),
inference(csr,[status(thm)],[639,121]) ).
cnf(641,negated_conjecture,
ssItem(esk15_0),
inference(csr,[status(thm)],[640,120]) ).
cnf(658,negated_conjecture,
( ssItem(esk16_0)
| ~ ssList(esk11_0)
| ~ ssItem(esk10_0) ),
inference(csr,[status(thm)],[431,117]) ).
cnf(659,negated_conjecture,
( ssItem(esk16_0)
| ~ ssList(esk11_0) ),
inference(csr,[status(thm)],[658,116]) ).
cnf(660,negated_conjecture,
ssItem(esk16_0),
inference(csr,[status(thm)],[659,115]) ).
cnf(771,negated_conjecture,
( ssList(esk17_0)
| ~ ssList(esk11_0)
| ~ ssItem(esk10_0) ),
inference(csr,[status(thm)],[461,112]) ).
cnf(772,negated_conjecture,
( ssList(esk17_0)
| ~ ssList(esk11_0) ),
inference(csr,[status(thm)],[771,111]) ).
cnf(773,negated_conjecture,
ssList(esk17_0),
inference(csr,[status(thm)],[772,110]) ).
cnf(10551,negated_conjecture,
( app(app(cons(esk16_0,nil),esk17_0),cons(esk15_0,nil)) = esk5_0
| ssItem(esk9_0)
| $false
| ~ ssItem(esk16_0)
| ~ ssItem(esk15_0) ),
inference(rw,[status(thm)],[470,773,theory(equality)]) ).
cnf(10552,negated_conjecture,
( app(app(cons(esk16_0,nil),esk17_0),cons(esk15_0,nil)) = esk5_0
| ssItem(esk9_0)
| $false
| $false
| ~ ssItem(esk15_0) ),
inference(rw,[status(thm)],[10551,660,theory(equality)]) ).
cnf(10553,negated_conjecture,
( app(app(cons(esk16_0,nil),esk17_0),cons(esk15_0,nil)) = esk5_0
| ssItem(esk9_0)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[10552,641,theory(equality)]) ).
cnf(10554,negated_conjecture,
( app(app(cons(esk16_0,nil),esk17_0),cons(esk15_0,nil)) = esk5_0
| ssItem(esk9_0) ),
inference(cn,[status(thm)],[10553,theory(equality)]) ).
cnf(10555,negated_conjecture,
ssItem(esk9_0),
inference(sr,[status(thm)],[10554,571,theory(equality)]) ).
cnf(10739,negated_conjecture,
( app(app(cons(esk15_0,nil),esk17_0),cons(esk16_0,nil)) = esk6_0
| ~ ssList(esk11_0)
| ~ ssItem(esk10_0)
| $false ),
inference(rw,[status(thm)],[485,10555,theory(equality)]) ).
cnf(10740,negated_conjecture,
( app(app(cons(esk15_0,nil),esk17_0),cons(esk16_0,nil)) = esk6_0
| ~ ssList(esk11_0)
| ~ ssItem(esk10_0) ),
inference(cn,[status(thm)],[10739,theory(equality)]) ).
cnf(10741,negated_conjecture,
( app(app(cons(esk15_0,nil),esk17_0),cons(esk16_0,nil)) = esk6_0
| ~ ssList(esk11_0) ),
inference(csr,[status(thm)],[10740,106]) ).
cnf(10742,negated_conjecture,
app(app(cons(esk15_0,nil),esk17_0),cons(esk16_0,nil)) = esk6_0,
inference(csr,[status(thm)],[10741,105]) ).
cnf(10748,negated_conjecture,
( app(app(cons(esk16_0,nil),esk17_0),cons(esk15_0,nil)) = esk5_0
| ssItem(esk10_0)
| ~ ssList(esk17_0)
| ~ ssItem(esk16_0)
| ~ ssItem(esk15_0) ),
inference(spm,[status(thm)],[517,10742,theory(equality)]) ).
cnf(10749,negated_conjecture,
( app(app(cons(esk16_0,nil),esk17_0),cons(esk15_0,nil)) = esk5_0
| ssList(esk11_0)
| ~ ssList(esk17_0)
| ~ ssItem(esk16_0)
| ~ ssItem(esk15_0) ),
inference(spm,[status(thm)],[523,10742,theory(equality)]) ).
cnf(10750,negated_conjecture,
( app(app(cons(esk9_0,nil),cons(esk10_0,nil)),esk11_0) = esk6_0
| app(app(cons(esk16_0,nil),esk17_0),cons(esk15_0,nil)) = esk5_0
| ~ ssList(esk17_0)
| ~ ssItem(esk16_0)
| ~ ssItem(esk15_0) ),
inference(spm,[status(thm)],[529,10742,theory(equality)]) ).
cnf(10751,negated_conjecture,
( app(app(cons(esk16_0,nil),esk17_0),cons(esk15_0,nil)) = esk5_0
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk6_0
| ~ ssList(X3)
| ~ ssList(esk17_0)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(esk16_0)
| ~ ssItem(esk15_0) ),
inference(spm,[status(thm)],[536,10742,theory(equality)]) ).
cnf(10789,negated_conjecture,
( app(app(cons(esk16_0,nil),esk17_0),cons(esk15_0,nil)) = esk5_0
| ssItem(esk10_0)
| $false
| ~ ssItem(esk16_0)
| ~ ssItem(esk15_0) ),
inference(rw,[status(thm)],[10748,773,theory(equality)]) ).
cnf(10790,negated_conjecture,
( app(app(cons(esk16_0,nil),esk17_0),cons(esk15_0,nil)) = esk5_0
| ssItem(esk10_0)
| $false
| $false
| ~ ssItem(esk15_0) ),
inference(rw,[status(thm)],[10789,660,theory(equality)]) ).
cnf(10791,negated_conjecture,
( app(app(cons(esk16_0,nil),esk17_0),cons(esk15_0,nil)) = esk5_0
| ssItem(esk10_0)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[10790,641,theory(equality)]) ).
cnf(10792,negated_conjecture,
( app(app(cons(esk16_0,nil),esk17_0),cons(esk15_0,nil)) = esk5_0
| ssItem(esk10_0) ),
inference(cn,[status(thm)],[10791,theory(equality)]) ).
cnf(10793,negated_conjecture,
ssItem(esk10_0),
inference(sr,[status(thm)],[10792,571,theory(equality)]) ).
cnf(10794,negated_conjecture,
( app(app(cons(esk16_0,nil),esk17_0),cons(esk15_0,nil)) = esk5_0
| ssList(esk11_0)
| $false
| ~ ssItem(esk16_0)
| ~ ssItem(esk15_0) ),
inference(rw,[status(thm)],[10749,773,theory(equality)]) ).
cnf(10795,negated_conjecture,
( app(app(cons(esk16_0,nil),esk17_0),cons(esk15_0,nil)) = esk5_0
| ssList(esk11_0)
| $false
| $false
| ~ ssItem(esk15_0) ),
inference(rw,[status(thm)],[10794,660,theory(equality)]) ).
cnf(10796,negated_conjecture,
( app(app(cons(esk16_0,nil),esk17_0),cons(esk15_0,nil)) = esk5_0
| ssList(esk11_0)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[10795,641,theory(equality)]) ).
cnf(10797,negated_conjecture,
( app(app(cons(esk16_0,nil),esk17_0),cons(esk15_0,nil)) = esk5_0
| ssList(esk11_0) ),
inference(cn,[status(thm)],[10796,theory(equality)]) ).
cnf(10798,negated_conjecture,
ssList(esk11_0),
inference(sr,[status(thm)],[10797,571,theory(equality)]) ).
cnf(10799,negated_conjecture,
( app(app(cons(esk9_0,nil),cons(esk10_0,nil)),esk11_0) = esk6_0
| app(app(cons(esk16_0,nil),esk17_0),cons(esk15_0,nil)) = esk5_0
| $false
| ~ ssItem(esk16_0)
| ~ ssItem(esk15_0) ),
inference(rw,[status(thm)],[10750,773,theory(equality)]) ).
cnf(10800,negated_conjecture,
( app(app(cons(esk9_0,nil),cons(esk10_0,nil)),esk11_0) = esk6_0
| app(app(cons(esk16_0,nil),esk17_0),cons(esk15_0,nil)) = esk5_0
| $false
| $false
| ~ ssItem(esk15_0) ),
inference(rw,[status(thm)],[10799,660,theory(equality)]) ).
cnf(10801,negated_conjecture,
( app(app(cons(esk9_0,nil),cons(esk10_0,nil)),esk11_0) = esk6_0
| app(app(cons(esk16_0,nil),esk17_0),cons(esk15_0,nil)) = esk5_0
| $false
| $false
| $false ),
inference(rw,[status(thm)],[10800,641,theory(equality)]) ).
cnf(10802,negated_conjecture,
( app(app(cons(esk9_0,nil),cons(esk10_0,nil)),esk11_0) = esk6_0
| app(app(cons(esk16_0,nil),esk17_0),cons(esk15_0,nil)) = esk5_0 ),
inference(cn,[status(thm)],[10801,theory(equality)]) ).
cnf(10803,negated_conjecture,
app(app(cons(esk9_0,nil),cons(esk10_0,nil)),esk11_0) = esk6_0,
inference(sr,[status(thm)],[10802,571,theory(equality)]) ).
cnf(10804,negated_conjecture,
( app(app(cons(esk16_0,nil),esk17_0),cons(esk15_0,nil)) = esk5_0
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk6_0
| ~ ssList(X3)
| $false
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(esk16_0)
| ~ ssItem(esk15_0) ),
inference(rw,[status(thm)],[10751,773,theory(equality)]) ).
cnf(10805,negated_conjecture,
( app(app(cons(esk16_0,nil),esk17_0),cons(esk15_0,nil)) = esk5_0
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk6_0
| ~ ssList(X3)
| $false
| ~ ssItem(X2)
| ~ ssItem(X1)
| $false
| ~ ssItem(esk15_0) ),
inference(rw,[status(thm)],[10804,660,theory(equality)]) ).
cnf(10806,negated_conjecture,
( app(app(cons(esk16_0,nil),esk17_0),cons(esk15_0,nil)) = esk5_0
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk6_0
| ~ ssList(X3)
| $false
| ~ ssItem(X2)
| ~ ssItem(X1)
| $false
| $false ),
inference(rw,[status(thm)],[10805,641,theory(equality)]) ).
cnf(10807,negated_conjecture,
( app(app(cons(esk16_0,nil),esk17_0),cons(esk15_0,nil)) = esk5_0
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk6_0
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(cn,[status(thm)],[10806,theory(equality)]) ).
cnf(10808,negated_conjecture,
( app(app(cons(X1,nil),cons(X2,nil)),X3) != esk6_0
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(sr,[status(thm)],[10807,571,theory(equality)]) ).
cnf(1375606,negated_conjecture,
( ~ ssList(esk11_0)
| ~ ssItem(esk10_0)
| ~ ssItem(esk9_0) ),
inference(spm,[status(thm)],[10808,10803,theory(equality)]) ).
cnf(1375636,negated_conjecture,
( $false
| ~ ssItem(esk10_0)
| ~ ssItem(esk9_0) ),
inference(rw,[status(thm)],[1375606,10798,theory(equality)]) ).
cnf(1375637,negated_conjecture,
( $false
| $false
| ~ ssItem(esk9_0) ),
inference(rw,[status(thm)],[1375636,10793,theory(equality)]) ).
cnf(1375638,negated_conjecture,
( $false
| $false
| $false ),
inference(rw,[status(thm)],[1375637,10555,theory(equality)]) ).
cnf(1375639,negated_conjecture,
$false,
inference(cn,[status(thm)],[1375638,theory(equality)]) ).
cnf(1375640,negated_conjecture,
$false,
1375639,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% /home/graph/tptp/Systems/SInE---0.4/Source/sine.py:10: DeprecationWarning: the sets module is deprecated
% from sets import Set
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWC/SWC412+1.p
% --creating new selector for [SWC001+0.ax]
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmpGZsnON/sel_SWC412+1.p_1 with time limit 29
% -prover status ResourceOut
% -running prover on /tmp/tmpGZsnON/sel_SWC412+1.p_2 with time limit 81
% -prover status Theorem
% Problem SWC412+1.p solved in phase 1.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWC/SWC412+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWC/SWC412+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
%
%------------------------------------------------------------------------------