TSTP Solution File: SWC413+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SWC413+1 : TPTP v5.0.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art07.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sun Dec 26 11:46:05 EST 2010
% Result : Theorem 1.49s
% Output : CNFRefutation 1.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 3
% Syntax : Number of formulae : 122 ( 17 unt; 0 def)
% Number of atoms : 710 ( 207 equ)
% Maximal formula atoms : 156 ( 5 avg)
% Number of connectives : 904 ( 316 ~; 413 |; 147 &)
% ( 2 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 62 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 14 con; 0-2 aty)
% Number of variables : 166 ( 0 sgn 62 !; 38 ?)
% 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) = X2
& app(app(cons(X6,nil),cons(X5,nil)),X7) = X1 ) ) )
| ! [X8] :
( ssItem(X8)
=> ! [X9] :
( ssItem(X9)
=> ! [X10] :
( ssList(X10)
=> app(app(cons(X8,nil),cons(X9,nil)),X10) != X2 ) ) )
| ! [X11] :
( ssItem(X11)
=> ! [X12] :
( ssItem(X12)
=> ! [X13] :
( ssList(X13)
=> ( app(app(cons(X11,nil),cons(X12,nil)),X13) != X4
| app(app(cons(X12,nil),cons(X11,nil)),X13) != X3 ) ) ) ) )
& ( ? [X14] :
( ssItem(X14)
& ? [X15] :
( ssItem(X15)
& ? [X16] :
( ssList(X16)
& app(app(cons(X14,nil),cons(X15,nil)),X16) = X4 ) ) )
| ! [X8] :
( ssItem(X8)
=> ! [X9] :
( ssItem(X9)
=> ! [X10] :
( ssList(X10)
=> app(app(cons(X8,nil),cons(X9,nil)),X10) != X2 ) ) ) ) ) ) ) ) ) ),
file('/tmp/tmpjxIZ53/sel_SWC413+1.p_1',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) = X2
& app(app(cons(X6,nil),cons(X5,nil)),X7) = X1 ) ) )
| ! [X8] :
( ssItem(X8)
=> ! [X9] :
( ssItem(X9)
=> ! [X10] :
( ssList(X10)
=> app(app(cons(X8,nil),cons(X9,nil)),X10) != X2 ) ) )
| ! [X11] :
( ssItem(X11)
=> ! [X12] :
( ssItem(X12)
=> ! [X13] :
( ssList(X13)
=> ( app(app(cons(X11,nil),cons(X12,nil)),X13) != X4
| app(app(cons(X12,nil),cons(X11,nil)),X13) != X3 ) ) ) ) )
& ( ? [X14] :
( ssItem(X14)
& ? [X15] :
( ssItem(X15)
& ? [X16] :
( ssList(X16)
& app(app(cons(X14,nil),cons(X15,nil)),X16) = X4 ) ) )
| ! [X8] :
( ssItem(X8)
=> ! [X9] :
( ssItem(X9)
=> ! [X10] :
( ssList(X10)
=> app(app(cons(X8,nil),cons(X9,nil)),X10) != X2 ) ) ) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[17]) ).
fof(87,negated_conjecture,
? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& X2 = X4
& X1 = X3
& ( ( ! [X5] :
( ~ ssItem(X5)
| ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssList(X7)
| app(app(cons(X5,nil),cons(X6,nil)),X7) != X2
| app(app(cons(X6,nil),cons(X5,nil)),X7) != X1 ) ) )
& ? [X8] :
( ssItem(X8)
& ? [X9] :
( ssItem(X9)
& ? [X10] :
( ssList(X10)
& app(app(cons(X8,nil),cons(X9,nil)),X10) = X2 ) ) )
& ? [X11] :
( ssItem(X11)
& ? [X12] :
( ssItem(X12)
& ? [X13] :
( ssList(X13)
& app(app(cons(X11,nil),cons(X12,nil)),X13) = X4
& app(app(cons(X12,nil),cons(X11,nil)),X13) = X3 ) ) ) )
| ( ! [X14] :
( ~ ssItem(X14)
| ! [X15] :
( ~ ssItem(X15)
| ! [X16] :
( ~ ssList(X16)
| app(app(cons(X14,nil),cons(X15,nil)),X16) != X4 ) ) )
& ? [X8] :
( ssItem(X8)
& ? [X9] :
( ssItem(X9)
& ? [X10] :
( ssList(X10)
& app(app(cons(X8,nil),cons(X9,nil)),X10) = X2 ) ) ) ) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[18]) ).
fof(88,negated_conjecture,
? [X17] :
( ssList(X17)
& ? [X18] :
( ssList(X18)
& ? [X19] :
( ssList(X19)
& ? [X20] :
( ssList(X20)
& X18 = X20
& X17 = X19
& ( ( ! [X21] :
( ~ ssItem(X21)
| ! [X22] :
( ~ ssItem(X22)
| ! [X23] :
( ~ ssList(X23)
| app(app(cons(X21,nil),cons(X22,nil)),X23) != X18
| app(app(cons(X22,nil),cons(X21,nil)),X23) != X17 ) ) )
& ? [X24] :
( ssItem(X24)
& ? [X25] :
( ssItem(X25)
& ? [X26] :
( ssList(X26)
& app(app(cons(X24,nil),cons(X25,nil)),X26) = X18 ) ) )
& ? [X27] :
( ssItem(X27)
& ? [X28] :
( ssItem(X28)
& ? [X29] :
( ssList(X29)
& app(app(cons(X27,nil),cons(X28,nil)),X29) = X20
& app(app(cons(X28,nil),cons(X27,nil)),X29) = X19 ) ) ) )
| ( ! [X30] :
( ~ ssItem(X30)
| ! [X31] :
( ~ ssItem(X31)
| ! [X32] :
( ~ ssList(X32)
| app(app(cons(X30,nil),cons(X31,nil)),X32) != X20 ) ) )
& ? [X33] :
( ssItem(X33)
& ? [X34] :
( ssItem(X34)
& ? [X35] :
( ssList(X35)
& app(app(cons(X33,nil),cons(X34,nil)),X35) = X18 ) ) ) ) ) ) ) ) ),
inference(variable_rename,[status(thm)],[87]) ).
fof(89,negated_conjecture,
( ssList(esk5_0)
& ssList(esk6_0)
& ssList(esk7_0)
& ssList(esk8_0)
& esk6_0 = esk8_0
& esk5_0 = esk7_0
& ( ( ! [X21] :
( ~ ssItem(X21)
| ! [X22] :
( ~ ssItem(X22)
| ! [X23] :
( ~ ssList(X23)
| app(app(cons(X21,nil),cons(X22,nil)),X23) != esk6_0
| app(app(cons(X22,nil),cons(X21,nil)),X23) != esk5_0 ) ) )
& ssItem(esk9_0)
& ssItem(esk10_0)
& ssList(esk11_0)
& app(app(cons(esk9_0,nil),cons(esk10_0,nil)),esk11_0) = esk6_0
& ssItem(esk12_0)
& ssItem(esk13_0)
& ssList(esk14_0)
& app(app(cons(esk12_0,nil),cons(esk13_0,nil)),esk14_0) = esk8_0
& app(app(cons(esk13_0,nil),cons(esk12_0,nil)),esk14_0) = esk7_0 )
| ( ! [X30] :
( ~ ssItem(X30)
| ! [X31] :
( ~ ssItem(X31)
| ! [X32] :
( ~ ssList(X32)
| app(app(cons(X30,nil),cons(X31,nil)),X32) != esk8_0 ) ) )
& ssItem(esk15_0)
& ssItem(esk16_0)
& ssList(esk17_0)
& app(app(cons(esk15_0,nil),cons(esk16_0,nil)),esk17_0) = esk6_0 ) ) ),
inference(skolemize,[status(esa)],[88]) ).
fof(90,negated_conjecture,
! [X21,X22,X23,X30,X31,X32] :
( ( ( ( ~ ssList(X32)
| app(app(cons(X30,nil),cons(X31,nil)),X32) != esk8_0
| ~ ssItem(X31)
| ~ ssItem(X30) )
& ssItem(esk15_0)
& ssItem(esk16_0)
& ssList(esk17_0)
& app(app(cons(esk15_0,nil),cons(esk16_0,nil)),esk17_0) = esk6_0 )
| ( ( ~ ssList(X23)
| app(app(cons(X21,nil),cons(X22,nil)),X23) != esk6_0
| app(app(cons(X22,nil),cons(X21,nil)),X23) != esk5_0
| ~ ssItem(X22)
| ~ ssItem(X21) )
& ssItem(esk9_0)
& ssItem(esk10_0)
& ssList(esk11_0)
& app(app(cons(esk9_0,nil),cons(esk10_0,nil)),esk11_0) = esk6_0
& ssItem(esk12_0)
& ssItem(esk13_0)
& ssList(esk14_0)
& app(app(cons(esk12_0,nil),cons(esk13_0,nil)),esk14_0) = esk8_0
& app(app(cons(esk13_0,nil),cons(esk12_0,nil)),esk14_0) = esk7_0 ) )
& esk6_0 = esk8_0
& esk5_0 = esk7_0
& ssList(esk8_0)
& ssList(esk7_0)
& ssList(esk6_0)
& ssList(esk5_0) ),
inference(shift_quantors,[status(thm)],[89]) ).
fof(91,negated_conjecture,
! [X21,X22,X23,X30,X31,X32] :
( ( ~ ssList(X23)
| app(app(cons(X21,nil),cons(X22,nil)),X23) != esk6_0
| app(app(cons(X22,nil),cons(X21,nil)),X23) != esk5_0
| ~ ssItem(X22)
| ~ ssItem(X21)
| ~ ssList(X32)
| app(app(cons(X30,nil),cons(X31,nil)),X32) != esk8_0
| ~ ssItem(X31)
| ~ ssItem(X30) )
& ( ssItem(esk9_0)
| ~ ssList(X32)
| app(app(cons(X30,nil),cons(X31,nil)),X32) != esk8_0
| ~ ssItem(X31)
| ~ ssItem(X30) )
& ( ssItem(esk10_0)
| ~ ssList(X32)
| app(app(cons(X30,nil),cons(X31,nil)),X32) != esk8_0
| ~ ssItem(X31)
| ~ ssItem(X30) )
& ( ssList(esk11_0)
| ~ ssList(X32)
| app(app(cons(X30,nil),cons(X31,nil)),X32) != 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(X30,nil),cons(X31,nil)),X32) != esk8_0
| ~ ssItem(X31)
| ~ ssItem(X30) )
& ( ssItem(esk12_0)
| ~ ssList(X32)
| app(app(cons(X30,nil),cons(X31,nil)),X32) != esk8_0
| ~ ssItem(X31)
| ~ ssItem(X30) )
& ( ssItem(esk13_0)
| ~ ssList(X32)
| app(app(cons(X30,nil),cons(X31,nil)),X32) != esk8_0
| ~ ssItem(X31)
| ~ ssItem(X30) )
& ( ssList(esk14_0)
| ~ ssList(X32)
| app(app(cons(X30,nil),cons(X31,nil)),X32) != esk8_0
| ~ ssItem(X31)
| ~ ssItem(X30) )
& ( app(app(cons(esk12_0,nil),cons(esk13_0,nil)),esk14_0) = esk8_0
| ~ ssList(X32)
| app(app(cons(X30,nil),cons(X31,nil)),X32) != esk8_0
| ~ ssItem(X31)
| ~ ssItem(X30) )
& ( app(app(cons(esk13_0,nil),cons(esk12_0,nil)),esk14_0) = esk7_0
| ~ ssList(X32)
| app(app(cons(X30,nil),cons(X31,nil)),X32) != esk8_0
| ~ ssItem(X31)
| ~ ssItem(X30) )
& ( ~ ssList(X23)
| app(app(cons(X21,nil),cons(X22,nil)),X23) != esk6_0
| app(app(cons(X22,nil),cons(X21,nil)),X23) != esk5_0
| ~ ssItem(X22)
| ~ ssItem(X21)
| 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) )
& ( ssItem(esk12_0)
| ssItem(esk15_0) )
& ( ssItem(esk13_0)
| ssItem(esk15_0) )
& ( ssList(esk14_0)
| ssItem(esk15_0) )
& ( app(app(cons(esk12_0,nil),cons(esk13_0,nil)),esk14_0) = esk8_0
| ssItem(esk15_0) )
& ( app(app(cons(esk13_0,nil),cons(esk12_0,nil)),esk14_0) = esk7_0
| ssItem(esk15_0) )
& ( ~ ssList(X23)
| app(app(cons(X21,nil),cons(X22,nil)),X23) != esk6_0
| app(app(cons(X22,nil),cons(X21,nil)),X23) != esk5_0
| ~ ssItem(X22)
| ~ ssItem(X21)
| 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) )
& ( ssItem(esk12_0)
| ssItem(esk16_0) )
& ( ssItem(esk13_0)
| ssItem(esk16_0) )
& ( ssList(esk14_0)
| ssItem(esk16_0) )
& ( app(app(cons(esk12_0,nil),cons(esk13_0,nil)),esk14_0) = esk8_0
| ssItem(esk16_0) )
& ( app(app(cons(esk13_0,nil),cons(esk12_0,nil)),esk14_0) = esk7_0
| ssItem(esk16_0) )
& ( ~ ssList(X23)
| app(app(cons(X21,nil),cons(X22,nil)),X23) != esk6_0
| app(app(cons(X22,nil),cons(X21,nil)),X23) != esk5_0
| ~ ssItem(X22)
| ~ ssItem(X21)
| 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) )
& ( ssItem(esk12_0)
| ssList(esk17_0) )
& ( ssItem(esk13_0)
| ssList(esk17_0) )
& ( ssList(esk14_0)
| ssList(esk17_0) )
& ( app(app(cons(esk12_0,nil),cons(esk13_0,nil)),esk14_0) = esk8_0
| ssList(esk17_0) )
& ( app(app(cons(esk13_0,nil),cons(esk12_0,nil)),esk14_0) = esk7_0
| ssList(esk17_0) )
& ( ~ ssList(X23)
| app(app(cons(X21,nil),cons(X22,nil)),X23) != esk6_0
| app(app(cons(X22,nil),cons(X21,nil)),X23) != esk5_0
| ~ ssItem(X22)
| ~ ssItem(X21)
| app(app(cons(esk15_0,nil),cons(esk16_0,nil)),esk17_0) = esk6_0 )
& ( ssItem(esk9_0)
| app(app(cons(esk15_0,nil),cons(esk16_0,nil)),esk17_0) = esk6_0 )
& ( ssItem(esk10_0)
| app(app(cons(esk15_0,nil),cons(esk16_0,nil)),esk17_0) = esk6_0 )
& ( ssList(esk11_0)
| app(app(cons(esk15_0,nil),cons(esk16_0,nil)),esk17_0) = esk6_0 )
& ( app(app(cons(esk9_0,nil),cons(esk10_0,nil)),esk11_0) = esk6_0
| app(app(cons(esk15_0,nil),cons(esk16_0,nil)),esk17_0) = esk6_0 )
& ( ssItem(esk12_0)
| app(app(cons(esk15_0,nil),cons(esk16_0,nil)),esk17_0) = esk6_0 )
& ( ssItem(esk13_0)
| app(app(cons(esk15_0,nil),cons(esk16_0,nil)),esk17_0) = esk6_0 )
& ( ssList(esk14_0)
| app(app(cons(esk15_0,nil),cons(esk16_0,nil)),esk17_0) = esk6_0 )
& ( app(app(cons(esk12_0,nil),cons(esk13_0,nil)),esk14_0) = esk8_0
| app(app(cons(esk15_0,nil),cons(esk16_0,nil)),esk17_0) = esk6_0 )
& ( app(app(cons(esk13_0,nil),cons(esk12_0,nil)),esk14_0) = esk7_0
| app(app(cons(esk15_0,nil),cons(esk16_0,nil)),esk17_0) = esk6_0 )
& esk6_0 = esk8_0
& esk5_0 = esk7_0
& ssList(esk8_0)
& ssList(esk7_0)
& ssList(esk6_0)
& ssList(esk5_0) ),
inference(distribute,[status(thm)],[90]) ).
cnf(96,negated_conjecture,
esk5_0 = esk7_0,
inference(split_conjunct,[status(thm)],[91]) ).
cnf(97,negated_conjecture,
esk6_0 = esk8_0,
inference(split_conjunct,[status(thm)],[91]) ).
cnf(98,negated_conjecture,
( app(app(cons(esk15_0,nil),cons(esk16_0,nil)),esk17_0) = esk6_0
| app(app(cons(esk13_0,nil),cons(esk12_0,nil)),esk14_0) = esk7_0 ),
inference(split_conjunct,[status(thm)],[91]) ).
cnf(99,negated_conjecture,
( app(app(cons(esk15_0,nil),cons(esk16_0,nil)),esk17_0) = esk6_0
| app(app(cons(esk12_0,nil),cons(esk13_0,nil)),esk14_0) = esk8_0 ),
inference(split_conjunct,[status(thm)],[91]) ).
cnf(100,negated_conjecture,
( app(app(cons(esk15_0,nil),cons(esk16_0,nil)),esk17_0) = esk6_0
| ssList(esk14_0) ),
inference(split_conjunct,[status(thm)],[91]) ).
cnf(101,negated_conjecture,
( app(app(cons(esk15_0,nil),cons(esk16_0,nil)),esk17_0) = esk6_0
| ssItem(esk13_0) ),
inference(split_conjunct,[status(thm)],[91]) ).
cnf(102,negated_conjecture,
( app(app(cons(esk15_0,nil),cons(esk16_0,nil)),esk17_0) = esk6_0
| ssItem(esk12_0) ),
inference(split_conjunct,[status(thm)],[91]) ).
cnf(107,negated_conjecture,
( app(app(cons(esk15_0,nil),cons(esk16_0,nil)),esk17_0) = esk6_0
| ~ ssItem(X1)
| ~ ssItem(X2)
| app(app(cons(X2,nil),cons(X1,nil)),X3) != esk5_0
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk6_0
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[91]) ).
cnf(108,negated_conjecture,
( ssList(esk17_0)
| app(app(cons(esk13_0,nil),cons(esk12_0,nil)),esk14_0) = esk7_0 ),
inference(split_conjunct,[status(thm)],[91]) ).
cnf(109,negated_conjecture,
( ssList(esk17_0)
| app(app(cons(esk12_0,nil),cons(esk13_0,nil)),esk14_0) = esk8_0 ),
inference(split_conjunct,[status(thm)],[91]) ).
cnf(110,negated_conjecture,
( ssList(esk17_0)
| ssList(esk14_0) ),
inference(split_conjunct,[status(thm)],[91]) ).
cnf(111,negated_conjecture,
( ssList(esk17_0)
| ssItem(esk13_0) ),
inference(split_conjunct,[status(thm)],[91]) ).
cnf(112,negated_conjecture,
( ssList(esk17_0)
| ssItem(esk12_0) ),
inference(split_conjunct,[status(thm)],[91]) ).
cnf(117,negated_conjecture,
( ssList(esk17_0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| app(app(cons(X2,nil),cons(X1,nil)),X3) != esk5_0
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk6_0
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[91]) ).
cnf(118,negated_conjecture,
( ssItem(esk16_0)
| app(app(cons(esk13_0,nil),cons(esk12_0,nil)),esk14_0) = esk7_0 ),
inference(split_conjunct,[status(thm)],[91]) ).
cnf(119,negated_conjecture,
( ssItem(esk16_0)
| app(app(cons(esk12_0,nil),cons(esk13_0,nil)),esk14_0) = esk8_0 ),
inference(split_conjunct,[status(thm)],[91]) ).
cnf(120,negated_conjecture,
( ssItem(esk16_0)
| ssList(esk14_0) ),
inference(split_conjunct,[status(thm)],[91]) ).
cnf(121,negated_conjecture,
( ssItem(esk16_0)
| ssItem(esk13_0) ),
inference(split_conjunct,[status(thm)],[91]) ).
cnf(122,negated_conjecture,
( ssItem(esk16_0)
| ssItem(esk12_0) ),
inference(split_conjunct,[status(thm)],[91]) ).
cnf(127,negated_conjecture,
( ssItem(esk16_0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| app(app(cons(X2,nil),cons(X1,nil)),X3) != esk5_0
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk6_0
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[91]) ).
cnf(128,negated_conjecture,
( ssItem(esk15_0)
| app(app(cons(esk13_0,nil),cons(esk12_0,nil)),esk14_0) = esk7_0 ),
inference(split_conjunct,[status(thm)],[91]) ).
cnf(129,negated_conjecture,
( ssItem(esk15_0)
| app(app(cons(esk12_0,nil),cons(esk13_0,nil)),esk14_0) = esk8_0 ),
inference(split_conjunct,[status(thm)],[91]) ).
cnf(130,negated_conjecture,
( ssItem(esk15_0)
| ssList(esk14_0) ),
inference(split_conjunct,[status(thm)],[91]) ).
cnf(131,negated_conjecture,
( ssItem(esk15_0)
| ssItem(esk13_0) ),
inference(split_conjunct,[status(thm)],[91]) ).
cnf(132,negated_conjecture,
( ssItem(esk15_0)
| ssItem(esk12_0) ),
inference(split_conjunct,[status(thm)],[91]) ).
cnf(137,negated_conjecture,
( ssItem(esk15_0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| app(app(cons(X2,nil),cons(X1,nil)),X3) != esk5_0
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk6_0
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[91]) ).
cnf(138,negated_conjecture,
( app(app(cons(esk13_0,nil),cons(esk12_0,nil)),esk14_0) = esk7_0
| ~ ssItem(X1)
| ~ ssItem(X2)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk8_0
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[91]) ).
cnf(139,negated_conjecture,
( app(app(cons(esk12_0,nil),cons(esk13_0,nil)),esk14_0) = esk8_0
| ~ ssItem(X1)
| ~ ssItem(X2)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk8_0
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[91]) ).
cnf(140,negated_conjecture,
( ssList(esk14_0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk8_0
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[91]) ).
cnf(141,negated_conjecture,
( ssItem(esk13_0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk8_0
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[91]) ).
cnf(142,negated_conjecture,
( ssItem(esk12_0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk8_0
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[91]) ).
cnf(147,negated_conjecture,
( ~ ssItem(X1)
| ~ ssItem(X2)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk8_0
| ~ ssList(X3)
| ~ ssItem(X4)
| ~ ssItem(X5)
| app(app(cons(X5,nil),cons(X4,nil)),X6) != esk5_0
| app(app(cons(X4,nil),cons(X5,nil)),X6) != esk6_0
| ~ ssList(X6) ),
inference(split_conjunct,[status(thm)],[91]) ).
cnf(196,negated_conjecture,
( app(app(cons(esk12_0,nil),cons(esk13_0,nil)),esk14_0) = esk6_0
| ssItem(esk15_0) ),
inference(rw,[status(thm)],[129,97,theory(equality)]) ).
cnf(201,negated_conjecture,
( app(app(cons(esk12_0,nil),cons(esk13_0,nil)),esk14_0) = esk6_0
| ssItem(esk16_0) ),
inference(rw,[status(thm)],[119,97,theory(equality)]) ).
cnf(233,negated_conjecture,
( app(app(cons(esk12_0,nil),cons(esk13_0,nil)),esk14_0) = esk6_0
| ssList(esk17_0) ),
inference(rw,[status(thm)],[109,97,theory(equality)]) ).
cnf(239,negated_conjecture,
( app(app(cons(esk13_0,nil),cons(esk12_0,nil)),esk14_0) = esk5_0
| ssItem(esk15_0) ),
inference(rw,[status(thm)],[128,96,theory(equality)]) ).
cnf(245,negated_conjecture,
( app(app(cons(esk13_0,nil),cons(esk12_0,nil)),esk14_0) = esk5_0
| ssItem(esk16_0) ),
inference(rw,[status(thm)],[118,96,theory(equality)]) ).
cnf(251,negated_conjecture,
( app(app(cons(esk13_0,nil),cons(esk12_0,nil)),esk14_0) = esk5_0
| ssList(esk17_0) ),
inference(rw,[status(thm)],[108,96,theory(equality)]) ).
cnf(324,negated_conjecture,
( app(app(cons(esk12_0,nil),cons(esk13_0,nil)),esk14_0) = esk6_0
| app(app(cons(esk15_0,nil),cons(esk16_0,nil)),esk17_0) = esk6_0 ),
inference(rw,[status(thm)],[99,97,theory(equality)]) ).
cnf(330,negated_conjecture,
( app(app(cons(esk13_0,nil),cons(esk12_0,nil)),esk14_0) = esk5_0
| app(app(cons(esk15_0,nil),cons(esk16_0,nil)),esk17_0) = esk6_0 ),
inference(rw,[status(thm)],[98,96,theory(equality)]) ).
cnf(446,negated_conjecture,
( ssItem(esk12_0)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk6_0
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X3) ),
inference(rw,[status(thm)],[142,97,theory(equality)]) ).
cnf(459,negated_conjecture,
( ssItem(esk12_0)
| ~ ssList(esk17_0)
| ~ ssItem(esk16_0)
| ~ ssItem(esk15_0) ),
inference(spm,[status(thm)],[446,102,theory(equality)]) ).
cnf(466,negated_conjecture,
( ssItem(esk13_0)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk6_0
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X3) ),
inference(rw,[status(thm)],[141,97,theory(equality)]) ).
cnf(480,negated_conjecture,
( ssItem(esk13_0)
| ~ ssList(esk17_0)
| ~ ssItem(esk16_0)
| ~ ssItem(esk15_0) ),
inference(spm,[status(thm)],[466,101,theory(equality)]) ).
cnf(506,negated_conjecture,
( ssList(esk14_0)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk6_0
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X3) ),
inference(rw,[status(thm)],[140,97,theory(equality)]) ).
cnf(522,negated_conjecture,
( ssList(esk14_0)
| ~ ssList(esk17_0)
| ~ ssItem(esk16_0)
| ~ ssItem(esk15_0) ),
inference(spm,[status(thm)],[506,100,theory(equality)]) ).
cnf(546,negated_conjecture,
( app(app(cons(esk12_0,nil),cons(esk13_0,nil)),esk14_0) = esk6_0
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk8_0
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X3) ),
inference(rw,[status(thm)],[139,97,theory(equality)]) ).
cnf(547,negated_conjecture,
( app(app(cons(esk12_0,nil),cons(esk13_0,nil)),esk14_0) = esk6_0
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk6_0
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X3) ),
inference(rw,[status(thm)],[546,97,theory(equality)]) ).
cnf(567,negated_conjecture,
( app(app(cons(esk13_0,nil),cons(esk12_0,nil)),esk14_0) = esk5_0
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk8_0
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X3) ),
inference(rw,[status(thm)],[138,96,theory(equality)]) ).
cnf(568,negated_conjecture,
( app(app(cons(esk13_0,nil),cons(esk12_0,nil)),esk14_0) = esk5_0
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk6_0
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X3) ),
inference(rw,[status(thm)],[567,97,theory(equality)]) ).
cnf(595,negated_conjecture,
( ssItem(esk15_0)
| app(app(cons(esk12_0,nil),cons(esk13_0,nil)),esk14_0) != esk6_0
| ~ ssList(esk14_0)
| ~ ssItem(esk13_0)
| ~ ssItem(esk12_0) ),
inference(spm,[status(thm)],[137,239,theory(equality)]) ).
cnf(615,negated_conjecture,
( ssItem(esk16_0)
| app(app(cons(esk12_0,nil),cons(esk13_0,nil)),esk14_0) != esk6_0
| ~ ssList(esk14_0)
| ~ ssItem(esk13_0)
| ~ ssItem(esk12_0) ),
inference(spm,[status(thm)],[127,245,theory(equality)]) ).
cnf(635,negated_conjecture,
( ssList(esk17_0)
| app(app(cons(esk12_0,nil),cons(esk13_0,nil)),esk14_0) != esk6_0
| ~ ssList(esk14_0)
| ~ ssItem(esk13_0)
| ~ ssItem(esk12_0) ),
inference(spm,[status(thm)],[117,251,theory(equality)]) ).
cnf(663,negated_conjecture,
( app(app(cons(esk15_0,nil),cons(esk16_0,nil)),esk17_0) = esk6_0
| app(app(cons(esk12_0,nil),cons(esk13_0,nil)),esk14_0) != esk6_0
| ~ ssList(esk14_0)
| ~ ssItem(esk13_0)
| ~ ssItem(esk12_0) ),
inference(spm,[status(thm)],[107,330,theory(equality)]) ).
cnf(664,negated_conjecture,
( app(app(cons(X5,nil),cons(X4,nil)),X6) != esk5_0
| app(app(cons(X4,nil),cons(X5,nil)),X6) != esk6_0
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk6_0
| ~ ssItem(X5)
| ~ ssItem(X4)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X6)
| ~ ssList(X3) ),
inference(rw,[status(thm)],[147,97,theory(equality)]) ).
fof(665,plain,
( ~ epred1_0
<=> ! [X4,X6,X5] :
( ~ ssItem(X4)
| ~ ssItem(X5)
| ~ ssList(X6)
| app(app(cons(X4,nil),cons(X5,nil)),X6) != esk6_0
| app(app(cons(X5,nil),cons(X4,nil)),X6) != esk5_0 ) ),
introduced(definition),
[split] ).
cnf(666,plain,
( epred1_0
| ~ ssItem(X4)
| ~ ssItem(X5)
| ~ ssList(X6)
| app(app(cons(X4,nil),cons(X5,nil)),X6) != esk6_0
| app(app(cons(X5,nil),cons(X4,nil)),X6) != esk5_0 ),
inference(split_equiv,[status(thm)],[665]) ).
fof(667,plain,
( ~ epred2_0
<=> ! [X2,X3,X1] :
( ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk6_0 ) ),
introduced(definition),
[split] ).
cnf(668,plain,
( epred2_0
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk6_0 ),
inference(split_equiv,[status(thm)],[667]) ).
cnf(669,negated_conjecture,
( ~ epred2_0
| ~ epred1_0 ),
inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[664,665,theory(equality)]),667,theory(equality)]),
[split] ).
cnf(841,negated_conjecture,
( ssItem(esk12_0)
| ~ ssList(esk17_0)
| ~ ssItem(esk16_0) ),
inference(csr,[status(thm)],[459,132]) ).
cnf(842,negated_conjecture,
( ssItem(esk12_0)
| ~ ssList(esk17_0) ),
inference(csr,[status(thm)],[841,122]) ).
cnf(843,negated_conjecture,
ssItem(esk12_0),
inference(csr,[status(thm)],[842,112]) ).
cnf(850,negated_conjecture,
( ssItem(esk13_0)
| ~ ssList(esk17_0)
| ~ ssItem(esk16_0) ),
inference(csr,[status(thm)],[480,131]) ).
cnf(851,negated_conjecture,
( ssItem(esk13_0)
| ~ ssList(esk17_0) ),
inference(csr,[status(thm)],[850,121]) ).
cnf(852,negated_conjecture,
ssItem(esk13_0),
inference(csr,[status(thm)],[851,111]) ).
cnf(934,negated_conjecture,
( ssList(esk14_0)
| ~ ssList(esk17_0)
| ~ ssItem(esk16_0) ),
inference(csr,[status(thm)],[522,130]) ).
cnf(935,negated_conjecture,
( ssList(esk14_0)
| ~ ssList(esk17_0) ),
inference(csr,[status(thm)],[934,120]) ).
cnf(936,negated_conjecture,
ssList(esk14_0),
inference(csr,[status(thm)],[935,110]) ).
cnf(14994,negated_conjecture,
( ssItem(esk15_0)
| app(app(cons(esk12_0,nil),cons(esk13_0,nil)),esk14_0) != esk6_0
| $false
| ~ ssItem(esk13_0)
| ~ ssItem(esk12_0) ),
inference(rw,[status(thm)],[595,936,theory(equality)]) ).
cnf(14995,negated_conjecture,
( ssItem(esk15_0)
| app(app(cons(esk12_0,nil),cons(esk13_0,nil)),esk14_0) != esk6_0
| $false
| $false
| ~ ssItem(esk12_0) ),
inference(rw,[status(thm)],[14994,852,theory(equality)]) ).
cnf(14996,negated_conjecture,
( ssItem(esk15_0)
| app(app(cons(esk12_0,nil),cons(esk13_0,nil)),esk14_0) != esk6_0
| $false
| $false
| $false ),
inference(rw,[status(thm)],[14995,843,theory(equality)]) ).
cnf(14997,negated_conjecture,
( ssItem(esk15_0)
| app(app(cons(esk12_0,nil),cons(esk13_0,nil)),esk14_0) != esk6_0 ),
inference(cn,[status(thm)],[14996,theory(equality)]) ).
cnf(14998,negated_conjecture,
ssItem(esk15_0),
inference(csr,[status(thm)],[14997,196]) ).
cnf(15176,negated_conjecture,
( ssItem(esk16_0)
| app(app(cons(esk12_0,nil),cons(esk13_0,nil)),esk14_0) != esk6_0
| $false
| ~ ssItem(esk13_0)
| ~ ssItem(esk12_0) ),
inference(rw,[status(thm)],[615,936,theory(equality)]) ).
cnf(15177,negated_conjecture,
( ssItem(esk16_0)
| app(app(cons(esk12_0,nil),cons(esk13_0,nil)),esk14_0) != esk6_0
| $false
| $false
| ~ ssItem(esk12_0) ),
inference(rw,[status(thm)],[15176,852,theory(equality)]) ).
cnf(15178,negated_conjecture,
( ssItem(esk16_0)
| app(app(cons(esk12_0,nil),cons(esk13_0,nil)),esk14_0) != esk6_0
| $false
| $false
| $false ),
inference(rw,[status(thm)],[15177,843,theory(equality)]) ).
cnf(15179,negated_conjecture,
( ssItem(esk16_0)
| app(app(cons(esk12_0,nil),cons(esk13_0,nil)),esk14_0) != esk6_0 ),
inference(cn,[status(thm)],[15178,theory(equality)]) ).
cnf(15180,negated_conjecture,
ssItem(esk16_0),
inference(csr,[status(thm)],[15179,201]) ).
cnf(15436,negated_conjecture,
( ssList(esk17_0)
| app(app(cons(esk12_0,nil),cons(esk13_0,nil)),esk14_0) != esk6_0
| $false
| ~ ssItem(esk13_0)
| ~ ssItem(esk12_0) ),
inference(rw,[status(thm)],[635,936,theory(equality)]) ).
cnf(15437,negated_conjecture,
( ssList(esk17_0)
| app(app(cons(esk12_0,nil),cons(esk13_0,nil)),esk14_0) != esk6_0
| $false
| $false
| ~ ssItem(esk12_0) ),
inference(rw,[status(thm)],[15436,852,theory(equality)]) ).
cnf(15438,negated_conjecture,
( ssList(esk17_0)
| app(app(cons(esk12_0,nil),cons(esk13_0,nil)),esk14_0) != esk6_0
| $false
| $false
| $false ),
inference(rw,[status(thm)],[15437,843,theory(equality)]) ).
cnf(15439,negated_conjecture,
( ssList(esk17_0)
| app(app(cons(esk12_0,nil),cons(esk13_0,nil)),esk14_0) != esk6_0 ),
inference(cn,[status(thm)],[15438,theory(equality)]) ).
cnf(15440,negated_conjecture,
ssList(esk17_0),
inference(csr,[status(thm)],[15439,233]) ).
cnf(16350,negated_conjecture,
( app(app(cons(esk15_0,nil),cons(esk16_0,nil)),esk17_0) = esk6_0
| app(app(cons(esk12_0,nil),cons(esk13_0,nil)),esk14_0) != esk6_0
| $false
| ~ ssItem(esk13_0)
| ~ ssItem(esk12_0) ),
inference(rw,[status(thm)],[663,936,theory(equality)]) ).
cnf(16351,negated_conjecture,
( app(app(cons(esk15_0,nil),cons(esk16_0,nil)),esk17_0) = esk6_0
| app(app(cons(esk12_0,nil),cons(esk13_0,nil)),esk14_0) != esk6_0
| $false
| $false
| ~ ssItem(esk12_0) ),
inference(rw,[status(thm)],[16350,852,theory(equality)]) ).
cnf(16352,negated_conjecture,
( app(app(cons(esk15_0,nil),cons(esk16_0,nil)),esk17_0) = esk6_0
| app(app(cons(esk12_0,nil),cons(esk13_0,nil)),esk14_0) != esk6_0
| $false
| $false
| $false ),
inference(rw,[status(thm)],[16351,843,theory(equality)]) ).
cnf(16353,negated_conjecture,
( app(app(cons(esk15_0,nil),cons(esk16_0,nil)),esk17_0) = esk6_0
| app(app(cons(esk12_0,nil),cons(esk13_0,nil)),esk14_0) != esk6_0 ),
inference(cn,[status(thm)],[16352,theory(equality)]) ).
cnf(16354,negated_conjecture,
app(app(cons(esk15_0,nil),cons(esk16_0,nil)),esk17_0) = esk6_0,
inference(csr,[status(thm)],[16353,324]) ).
cnf(16361,negated_conjecture,
( app(app(cons(esk12_0,nil),cons(esk13_0,nil)),esk14_0) = esk6_0
| ~ ssList(esk17_0)
| ~ ssItem(esk16_0)
| ~ ssItem(esk15_0) ),
inference(spm,[status(thm)],[547,16354,theory(equality)]) ).
cnf(16362,negated_conjecture,
( app(app(cons(esk13_0,nil),cons(esk12_0,nil)),esk14_0) = esk5_0
| ~ ssList(esk17_0)
| ~ ssItem(esk16_0)
| ~ ssItem(esk15_0) ),
inference(spm,[status(thm)],[568,16354,theory(equality)]) ).
cnf(16414,negated_conjecture,
( app(app(cons(esk12_0,nil),cons(esk13_0,nil)),esk14_0) = esk6_0
| $false
| ~ ssItem(esk16_0)
| ~ ssItem(esk15_0) ),
inference(rw,[status(thm)],[16361,15440,theory(equality)]) ).
cnf(16415,negated_conjecture,
( app(app(cons(esk12_0,nil),cons(esk13_0,nil)),esk14_0) = esk6_0
| $false
| $false
| ~ ssItem(esk15_0) ),
inference(rw,[status(thm)],[16414,15180,theory(equality)]) ).
cnf(16416,negated_conjecture,
( app(app(cons(esk12_0,nil),cons(esk13_0,nil)),esk14_0) = esk6_0
| $false
| $false
| $false ),
inference(rw,[status(thm)],[16415,14998,theory(equality)]) ).
cnf(16417,negated_conjecture,
app(app(cons(esk12_0,nil),cons(esk13_0,nil)),esk14_0) = esk6_0,
inference(cn,[status(thm)],[16416,theory(equality)]) ).
cnf(16418,negated_conjecture,
( app(app(cons(esk13_0,nil),cons(esk12_0,nil)),esk14_0) = esk5_0
| $false
| ~ ssItem(esk16_0)
| ~ ssItem(esk15_0) ),
inference(rw,[status(thm)],[16362,15440,theory(equality)]) ).
cnf(16419,negated_conjecture,
( app(app(cons(esk13_0,nil),cons(esk12_0,nil)),esk14_0) = esk5_0
| $false
| $false
| ~ ssItem(esk15_0) ),
inference(rw,[status(thm)],[16418,15180,theory(equality)]) ).
cnf(16420,negated_conjecture,
( app(app(cons(esk13_0,nil),cons(esk12_0,nil)),esk14_0) = esk5_0
| $false
| $false
| $false ),
inference(rw,[status(thm)],[16419,14998,theory(equality)]) ).
cnf(16421,negated_conjecture,
app(app(cons(esk13_0,nil),cons(esk12_0,nil)),esk14_0) = esk5_0,
inference(cn,[status(thm)],[16420,theory(equality)]) ).
cnf(16507,negated_conjecture,
( epred2_0
| ~ ssList(esk17_0)
| ~ ssItem(esk15_0)
| ~ ssItem(esk16_0) ),
inference(spm,[status(thm)],[668,16354,theory(equality)]) ).
cnf(16513,negated_conjecture,
( epred2_0
| $false
| ~ ssItem(esk15_0)
| ~ ssItem(esk16_0) ),
inference(rw,[status(thm)],[16507,15440,theory(equality)]) ).
cnf(16514,negated_conjecture,
( epred2_0
| $false
| $false
| ~ ssItem(esk16_0) ),
inference(rw,[status(thm)],[16513,14998,theory(equality)]) ).
cnf(16515,negated_conjecture,
( epred2_0
| $false
| $false
| $false ),
inference(rw,[status(thm)],[16514,15180,theory(equality)]) ).
cnf(16516,negated_conjecture,
epred2_0,
inference(cn,[status(thm)],[16515,theory(equality)]) ).
cnf(16518,negated_conjecture,
( $false
| ~ epred1_0 ),
inference(rw,[status(thm)],[669,16516,theory(equality)]) ).
cnf(16519,negated_conjecture,
~ epred1_0,
inference(cn,[status(thm)],[16518,theory(equality)]) ).
cnf(16788,negated_conjecture,
( epred1_0
| app(app(cons(esk13_0,nil),cons(esk12_0,nil)),esk14_0) != esk5_0
| ~ ssList(esk14_0)
| ~ ssItem(esk12_0)
| ~ ssItem(esk13_0) ),
inference(spm,[status(thm)],[666,16417,theory(equality)]) ).
cnf(16844,negated_conjecture,
( epred1_0
| app(app(cons(esk13_0,nil),cons(esk12_0,nil)),esk14_0) != esk5_0
| $false
| ~ ssItem(esk12_0)
| ~ ssItem(esk13_0) ),
inference(rw,[status(thm)],[16788,936,theory(equality)]) ).
cnf(16845,negated_conjecture,
( epred1_0
| app(app(cons(esk13_0,nil),cons(esk12_0,nil)),esk14_0) != esk5_0
| $false
| $false
| ~ ssItem(esk13_0) ),
inference(rw,[status(thm)],[16844,843,theory(equality)]) ).
cnf(16846,negated_conjecture,
( epred1_0
| app(app(cons(esk13_0,nil),cons(esk12_0,nil)),esk14_0) != esk5_0
| $false
| $false
| $false ),
inference(rw,[status(thm)],[16845,852,theory(equality)]) ).
cnf(16847,negated_conjecture,
( epred1_0
| app(app(cons(esk13_0,nil),cons(esk12_0,nil)),esk14_0) != esk5_0 ),
inference(cn,[status(thm)],[16846,theory(equality)]) ).
cnf(16848,negated_conjecture,
app(app(cons(esk13_0,nil),cons(esk12_0,nil)),esk14_0) != esk5_0,
inference(sr,[status(thm)],[16847,16519,theory(equality)]) ).
cnf(24014,negated_conjecture,
$false,
inference(rw,[status(thm)],[16848,16421,theory(equality)]) ).
cnf(24015,negated_conjecture,
$false,
inference(cn,[status(thm)],[24014,theory(equality)]) ).
cnf(24016,negated_conjecture,
$false,
24015,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWC/SWC413+1.p
% --creating new selector for [SWC001+0.ax]
% -running prover on /tmp/tmpjxIZ53/sel_SWC413+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWC413+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWC/SWC413+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWC/SWC413+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
%
%------------------------------------------------------------------------------