TSTP Solution File: SYO652-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYO652-1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Thu Jul 21 14:29:08 EDT 2022
% Result : Unsatisfiable 2.40s 2.85s
% Output : Refutation 2.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SYO652-1 : TPTP v8.1.0. Released v7.3.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Sat Jul 9 09:07:39 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.79/1.18 *** allocated 10000 integers for termspace/termends
% 0.79/1.18 *** allocated 10000 integers for clauses
% 0.79/1.18 *** allocated 10000 integers for justifications
% 0.79/1.18 Bliksem 1.12
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 Automatic Strategy Selection
% 0.79/1.18
% 0.79/1.18 Clauses:
% 0.79/1.18 [
% 0.79/1.18 [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( Z ) ) ), ~(
% 0.79/1.18 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ), ~(
% 0.79/1.18 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f( Z ) ) ),
% 0.79/1.18 ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( f( Y ), f( suc( Y ) ) ) ), ~( 'E'(
% 0.79/1.18 '0', f( suc( suc( Y ) ) ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( iLEQ(
% 0.79/1.18 suc( T ), suc( X ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'( '0', f( Y
% 0.79/1.18 ) ) ), ~( 'E'( '0', f( suc( suc( Z ) ) ) ) ), ~( 'E'( f( Z ), f( suc( Z
% 0.79/1.18 ) ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), 'E'( f( T ), f( suc( T ) ) ) ]
% 0.79/1.18 ,
% 0.79/1.18 [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( Z ) ) ), ~(
% 0.79/1.18 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ), ~(
% 0.79/1.18 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f( Z ) ) ),
% 0.79/1.18 ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~(
% 0.79/1.18 iLEQ( suc( T ), suc( X ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'( '0'
% 0.79/1.18 , f( Y ) ) ), ~( 'E'( '0', f( suc( suc( Z ) ) ) ) ), ~( 'E'( f( Z ), f(
% 0.79/1.18 suc( Z ) ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), 'E'( f( T ), f( suc( T )
% 0.79/1.18 ) ), 'E'( f( Y ), f( suc( Y ) ) ) ],
% 0.79/1.18 [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( Z ) ) ), ~(
% 0.79/1.18 'E'( '0', f( suc( T ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( T )
% 0.79/1.18 ) ), ~( 'E'( '0', f( Z ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( iLEQ(
% 0.79/1.18 suc( T ), suc( X ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'( '0', f( Y
% 0.79/1.18 ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), 'E'( f( T ), f( suc( T ) ) ),
% 0.79/1.18 'E'( f( X ), f( suc( X ) ) ), 'E'( f( Y ), f( suc( Y ) ) ), 'E'( f( Z ),
% 0.79/1.18 f( suc( Z ) ) ) ],
% 0.79/1.18 [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( suc( X ) ) ) )
% 0.79/1.18 , ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ), iLEQ( suc(
% 0.79/1.18 X ), suc( X ) ) ],
% 0.79/1.18 [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( Z ) ) ), ~(
% 0.79/1.18 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ), ~(
% 0.79/1.18 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f( Z ) ) ),
% 0.79/1.18 ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( f( Y ), f( suc( Y ) ) ) ), ~( 'E'(
% 0.79/1.18 '0', f( suc( suc( Y ) ) ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( iLEQ(
% 0.79/1.18 suc( T ), suc( X ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'( '0', f( Y
% 0.79/1.18 ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), 'E'( f( T ), f( suc( T ) ) ),
% 0.79/1.18 'E'( f( Z ), f( suc( Z ) ) ) ],
% 0.79/1.18 [ 'LE'( f( X ), s( '0' ) ) ],
% 0.79/1.18 [ ~( 'LE'( f( suc( X ) ), s( '0' ) ) ), 'E'( '0', f( suc( X ) ) ), 'LE'(
% 0.79/1.18 f( X ), '0' ) ],
% 0.79/1.18 [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( Z ) ) ), ~(
% 0.79/1.18 'E'( '0', f( suc( T ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( T )
% 0.79/1.18 ) ), ~( 'E'( '0', f( Z ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( f(
% 0.79/1.18 Y ), f( suc( Y ) ) ) ), ~( 'E'( '0', f( suc( suc( Y ) ) ) ) ), ~( iLEQ(
% 0.79/1.18 suc( T ), suc( X ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'( '0', f( Y
% 0.79/1.18 ) ) ), ~( 'E'( '0', f( suc( suc( Z ) ) ) ) ), ~( 'E'( f( Z ), f( suc( Z
% 0.79/1.18 ) ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), 'E'( f( T ), f( suc( T ) ) ),
% 0.79/1.18 'E'( f( X ), f( suc( X ) ) ) ],
% 0.79/1.18 [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( Z ) ) ), ~(
% 0.79/1.18 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ), ~(
% 0.79/1.18 'E'( '0', f( suc( suc( T ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0'
% 0.79/1.18 , f( T ) ) ), ~( 'E'( '0', f( Z ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ),
% 0.79/1.18 ~( 'E'( f( Y ), f( suc( Y ) ) ) ), ~( 'E'( '0', f( suc( suc( Y ) ) ) ) )
% 0.79/1.18 , ~( 'E'( f( T ), f( suc( T ) ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ),
% 0.79/1.18 ~( iLEQ( suc( T ), suc( X ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'(
% 0.79/1.18 '0', f( Y ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), 'E'( f( Z ), f( suc( Z
% 0.79/1.18 ) ) ) ],
% 0.79/1.18 [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( Z ) ) ), ~(
% 0.79/1.18 'E'( '0', f( suc( T ) ) ) ), ~( 'E'( '0', f( suc( suc( T ) ) ) ) ), ~(
% 0.79/1.18 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f( Z ) ) ),
% 1.49/1.89 ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( f( T ), f( suc( T ) ) ) ), ~(
% 1.49/1.89 iLEQ( suc( T ), suc( X ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'( '0'
% 1.49/1.89 , f( Y ) ) ), ~( 'E'( '0', f( suc( suc( Z ) ) ) ) ), ~( 'E'( f( Z ), f(
% 1.49/1.89 suc( Z ) ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), 'E'( f( X ), f( suc( X )
% 1.49/1.89 ) ), 'E'( f( Y ), f( suc( Y ) ) ) ],
% 1.49/1.89 [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( Z ) ) ), ~(
% 1.49/1.89 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ), ~(
% 1.49/1.89 'E'( '0', f( suc( suc( T ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0'
% 1.49/1.89 , f( T ) ) ), ~( 'E'( '0', f( Z ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ),
% 1.49/1.89 ~( 'E'( f( Y ), f( suc( Y ) ) ) ), ~( 'E'( '0', f( suc( suc( Y ) ) ) ) )
% 1.49/1.89 , ~( 'E'( f( T ), f( suc( T ) ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ),
% 1.49/1.89 ~( iLEQ( suc( T ), suc( X ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'(
% 1.49/1.89 '0', f( Y ) ) ), ~( 'E'( '0', f( suc( suc( Z ) ) ) ) ), ~( 'E'( f( Z ), f(
% 1.49/1.89 suc( Z ) ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ) ],
% 1.49/1.89 [ ~( 'LE'( f( X ), s( '0' ) ) ), 'E'( '0', f( X ) ), 'LE'( f( X ), '0' )
% 1.49/1.89 ],
% 1.49/1.89 [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( Z ) ) ), ~(
% 1.49/1.89 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ), ~(
% 1.49/1.89 'E'( '0', f( suc( suc( T ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0'
% 1.49/1.89 , f( T ) ) ), ~( 'E'( '0', f( Z ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ),
% 1.49/1.89 ~( 'E'( f( T ), f( suc( T ) ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~(
% 1.49/1.89 iLEQ( suc( T ), suc( X ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'( '0'
% 1.49/1.89 , f( Y ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), 'E'( f( Y ), f( suc( Y ) )
% 1.49/1.89 ), 'E'( f( Z ), f( suc( Z ) ) ) ],
% 1.49/1.89 [ ~( 'LE'( f( suc( suc( X ) ) ), s( '0' ) ) ), 'E'( '0', f( suc( suc( X
% 1.49/1.89 ) ) ) ), 'LE'( f( X ), '0' ) ],
% 1.49/1.89 [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( Z ) ) ), ~(
% 1.49/1.89 'E'( '0', f( suc( T ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( T )
% 1.49/1.89 ) ), ~( 'E'( '0', f( Z ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( f(
% 1.49/1.89 Y ), f( suc( Y ) ) ) ), ~( 'E'( '0', f( suc( suc( Y ) ) ) ) ), ~( iLEQ(
% 1.49/1.89 suc( T ), suc( X ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'( '0', f( Y
% 1.49/1.89 ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), 'E'( f( T ), f( suc( T ) ) ),
% 1.49/1.89 'E'( f( X ), f( suc( X ) ) ), 'E'( f( Z ), f( suc( Z ) ) ) ],
% 1.49/1.89 [ ~( 'LE'( f( z ), '0' ) ) ],
% 1.49/1.89 [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( Z ) ) ), ~(
% 1.49/1.89 'E'( '0', f( suc( T ) ) ) ), ~( 'E'( '0', f( suc( suc( T ) ) ) ) ), ~(
% 1.49/1.89 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f( Z ) ) ),
% 1.49/1.89 ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( f( Y ), f( suc( Y ) ) ) ), ~( 'E'(
% 1.49/1.89 '0', f( suc( suc( Y ) ) ) ) ), ~( 'E'( f( T ), f( suc( T ) ) ) ), ~( iLEQ(
% 1.49/1.89 suc( T ), suc( X ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'( '0', f( Y
% 1.49/1.89 ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), 'E'( f( X ), f( suc( X ) ) ),
% 1.49/1.89 'E'( f( Z ), f( suc( Z ) ) ) ],
% 1.49/1.89 [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( Z ) ) ), ~(
% 1.49/1.89 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ), ~(
% 1.49/1.89 'E'( '0', f( suc( suc( T ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0'
% 1.49/1.89 , f( T ) ) ), ~( 'E'( '0', f( Z ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ),
% 1.49/1.89 ~( 'E'( f( T ), f( suc( T ) ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~(
% 1.49/1.89 iLEQ( suc( T ), suc( X ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'( '0'
% 1.49/1.89 , f( Y ) ) ), ~( 'E'( '0', f( suc( suc( Z ) ) ) ) ), ~( 'E'( f( Z ), f(
% 1.49/1.89 suc( Z ) ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), 'E'( f( Y ), f( suc( Y )
% 1.49/1.89 ) ) ],
% 1.49/1.89 [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( Z ) ) ), ~(
% 1.49/1.89 'E'( '0', f( suc( T ) ) ) ), ~( 'E'( '0', f( suc( suc( T ) ) ) ) ), ~(
% 1.49/1.89 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f( Z ) ) ),
% 1.49/1.89 ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( f( T ), f( suc( T ) ) ) ), ~(
% 1.49/1.89 iLEQ( suc( T ), suc( X ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'( '0'
% 1.49/1.89 , f( Y ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), 'E'( f( X ), f( suc( X ) )
% 1.49/1.89 ), 'E'( f( Y ), f( suc( Y ) ) ), 'E'( f( Z ), f( suc( Z ) ) ) ],
% 1.49/1.89 [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( Z ) ) ), ~(
% 1.49/1.89 'E'( '0', f( suc( T ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( T )
% 2.40/2.85 ) ), ~( 'E'( '0', f( Z ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( iLEQ(
% 2.40/2.85 suc( T ), suc( X ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'( '0', f( Y
% 2.40/2.85 ) ) ), ~( 'E'( '0', f( suc( suc( Z ) ) ) ) ), ~( 'E'( f( Z ), f( suc( Z
% 2.40/2.85 ) ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), 'E'( f( T ), f( suc( T ) ) ),
% 2.40/2.85 'E'( f( X ), f( suc( X ) ) ), 'E'( f( Y ), f( suc( Y ) ) ) ],
% 2.40/2.85 [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( Z ) ) ), ~(
% 2.40/2.85 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ), ~(
% 2.40/2.85 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f( Z ) ) ),
% 2.40/2.85 ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~(
% 2.40/2.85 iLEQ( suc( T ), suc( X ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'( '0'
% 2.40/2.85 , f( Y ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), 'E'( f( T ), f( suc( T ) )
% 2.40/2.85 ), 'E'( f( Y ), f( suc( Y ) ) ), 'E'( f( Z ), f( suc( Z ) ) ) ],
% 2.40/2.85 [ ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), 'E'( f( X ),
% 2.40/2.85 f( suc( X ) ) ), iLEQ( suc( X ), suc( X ) ) ],
% 2.40/2.85 [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( Z ) ) ), ~(
% 2.40/2.85 'E'( '0', f( suc( T ) ) ) ), ~( 'E'( '0', f( suc( suc( T ) ) ) ) ), ~(
% 2.40/2.85 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f( Z ) ) ),
% 2.40/2.85 ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( f( Y ), f( suc( Y ) ) ) ), ~( 'E'(
% 2.40/2.85 '0', f( suc( suc( Y ) ) ) ) ), ~( 'E'( f( T ), f( suc( T ) ) ) ), ~( iLEQ(
% 2.40/2.85 suc( T ), suc( X ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'( '0', f( Y
% 2.40/2.85 ) ) ), ~( 'E'( '0', f( suc( suc( Z ) ) ) ) ), ~( 'E'( f( Z ), f( suc( Z
% 2.40/2.85 ) ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), 'E'( f( X ), f( suc( X ) ) ) ]
% 2.40/2.85
% 2.40/2.85 ] .
% 2.40/2.85
% 2.40/2.85
% 2.40/2.85 percentage equality = 0.000000, percentage horn = 0.347826
% 2.40/2.85 This a non-horn, non-equality problem
% 2.40/2.85
% 2.40/2.85
% 2.40/2.85 Options Used:
% 2.40/2.85
% 2.40/2.85 useres = 1
% 2.40/2.85 useparamod = 0
% 2.40/2.85 useeqrefl = 0
% 2.40/2.85 useeqfact = 0
% 2.40/2.85 usefactor = 1
% 2.40/2.85 usesimpsplitting = 0
% 2.40/2.85 usesimpdemod = 0
% 2.40/2.85 usesimpres = 3
% 2.40/2.85
% 2.40/2.85 resimpinuse = 1000
% 2.40/2.85 resimpclauses = 20000
% 2.40/2.85 substype = standard
% 2.40/2.85 backwardsubs = 1
% 2.40/2.85 selectoldest = 5
% 2.40/2.85
% 2.40/2.85 litorderings [0] = split
% 2.40/2.85 litorderings [1] = liftord
% 2.40/2.85
% 2.40/2.85 termordering = none
% 2.40/2.85
% 2.40/2.85 litapriori = 1
% 2.40/2.85 termapriori = 0
% 2.40/2.85 litaposteriori = 0
% 2.40/2.85 termaposteriori = 0
% 2.40/2.85 demodaposteriori = 0
% 2.40/2.85 ordereqreflfact = 0
% 2.40/2.85
% 2.40/2.85 litselect = none
% 2.40/2.85
% 2.40/2.85 maxweight = 15
% 2.40/2.85 maxdepth = 30000
% 2.40/2.85 maxlength = 115
% 2.40/2.85 maxnrvars = 195
% 2.40/2.85 excuselevel = 1
% 2.40/2.85 increasemaxweight = 1
% 2.40/2.85
% 2.40/2.85 maxselected = 10000000
% 2.40/2.85 maxnrclauses = 10000000
% 2.40/2.85
% 2.40/2.85 showgenerated = 0
% 2.40/2.85 showkept = 0
% 2.40/2.85 showselected = 0
% 2.40/2.85 showdeleted = 0
% 2.40/2.85 showresimp = 1
% 2.40/2.85 showstatus = 2000
% 2.40/2.85
% 2.40/2.85 prologoutput = 1
% 2.40/2.85 nrgoals = 5000000
% 2.40/2.85 totalproof = 1
% 2.40/2.85
% 2.40/2.85 Symbols occurring in the translation:
% 2.40/2.85
% 2.40/2.85 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 2.40/2.85 . [1, 2] (w:1, o:25, a:1, s:1, b:0),
% 2.40/2.85 ! [4, 1] (w:0, o:17, a:1, s:1, b:0),
% 2.40/2.85 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.40/2.85 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.40/2.85 '0' [39, 0] (w:1, o:6, a:1, s:1, b:0),
% 2.40/2.85 suc [41, 1] (w:1, o:22, a:1, s:1, b:0),
% 2.40/2.85 f [42, 1] (w:1, o:23, a:1, s:1, b:0),
% 2.40/2.85 'E' [43, 2] (w:1, o:50, a:1, s:1, b:0),
% 2.40/2.85 iLEQ [46, 2] (w:1, o:51, a:1, s:1, b:0),
% 2.40/2.85 s [49, 1] (w:1, o:24, a:1, s:1, b:0),
% 2.40/2.85 'LE' [50, 2] (w:1, o:52, a:1, s:1, b:0),
% 2.40/2.85 z [52, 0] (w:1, o:16, a:1, s:1, b:0).
% 2.40/2.85
% 2.40/2.85
% 2.40/2.85 Starting Search:
% 2.40/2.85
% 2.40/2.85 Resimplifying inuse:
% 2.40/2.85 Done
% 2.40/2.85
% 2.40/2.85 Failed to find proof!
% 2.40/2.85 maxweight = 15
% 2.40/2.85 maxnrclauses = 10000000
% 2.40/2.85 Generated: 9953
% 2.40/2.85 Kept: 340
% 2.40/2.85
% 2.40/2.85
% 2.40/2.85 The strategy used was not complete!
% 2.40/2.85
% 2.40/2.85 Increased maxweight to 16
% 2.40/2.85
% 2.40/2.85 Starting Search:
% 2.40/2.85
% 2.40/2.85 Resimplifying inuse:
% 2.40/2.85 Done
% 2.40/2.85
% 2.40/2.85 Failed to find proof!
% 2.40/2.85 maxweight = 16
% 2.40/2.85 maxnrclauses = 10000000
% 2.40/2.85 Generated: 9953
% 2.40/2.85 Kept: 340
% 2.40/2.85
% 2.40/2.85
% 2.40/2.85 The strategy used was not complete!
% 2.40/2.85
% 2.40/2.85 Increased maxweight to 17
% 2.40/2.85
% 2.40/2.85 Starting Search:
% 2.40/2.85
% 2.40/2.85 Resimplifying inuse:
% 2.40/2.85 Done
% 2.40/2.85
% 2.40/2.85 Failed to find proof!
% 2.40/2.85 maxweight = 17
% 2.40/2.85 maxnrclauses = 10000000
% 2.40/2.85 Generated: 9953
% 2.40/2.85 Kept: 340
% 2.40/2.85
% 2.40/2.85
% 2.40/2.85 The strategy used was not complete!
% 2.40/2.85
% 2.40/2.85 Increased maxweight to 18
% 2.40/2.85
% 2.40/2.85 Starting Search:
% 2.40/2.85
% 2.40/2.85 Resimplifying inuse:
% 2.40/2.85 Done
% 2.40/2.85
% 2.40/2.85 Failed to find proof!
% 2.40/2.85 maxweight = 18
% 2.40/2.85 maxnrclauses = 10000000
% 2.40/2.85 Generated: 9953
% 2.40/2.85 Kept: 340
% 2.40/2.85
% 2.40/2.85
% 2.40/2.85 The strategy used was not complete!
% 2.40/2.85
% 2.40/2.85 Increased maxweight to 19
% 2.40/2.85
% 2.40/2.85 Starting Search:
% 2.40/2.85
% 2.40/2.85 Resimplifying inuse:
% 2.40/2.85 Done
% 2.40/2.85
% 2.40/2.85 Failed to find proof!
% 2.40/2.85 maxweight = 19
% 2.40/2.85 maxnrclauses = 10000000
% 2.40/2.85 Generated: 9953
% 2.40/2.85 Kept: 340
% 2.40/2.85
% 2.40/2.85
% 2.40/2.85 The strategy used was not complete!
% 2.40/2.85
% 2.40/2.85 Increased maxweight to 20
% 2.40/2.85
% 2.40/2.85 Starting Search:
% 2.40/2.85
% 2.40/2.85 Resimplifying inuse:
% 2.40/2.85 Done
% 2.40/2.85
% 2.40/2.85 Failed to find proof!
% 2.40/2.85 maxweight = 20
% 2.40/2.85 maxnrclauses = 10000000
% 2.40/2.85 Generated: 9661
% 2.40/2.85 Kept: 340
% 2.40/2.85
% 2.40/2.85
% 2.40/2.85 The strategy used was not complete!
% 2.40/2.85
% 2.40/2.85 Increased maxweight to 21
% 2.40/2.85
% 2.40/2.85 Starting Search:
% 2.40/2.85
% 2.40/2.85 Resimplifying inuse:
% 2.40/2.85 Done
% 2.40/2.85
% 2.40/2.85 Failed to find proof!
% 2.40/2.85 maxweight = 21
% 2.40/2.85 maxnrclauses = 10000000
% 2.40/2.85 Generated: 9661
% 2.40/2.85 Kept: 340
% 2.40/2.85
% 2.40/2.85
% 2.40/2.85 The strategy used was not complete!
% 2.40/2.85
% 2.40/2.85 Increased maxweight to 22
% 2.40/2.85
% 2.40/2.85 Starting Search:
% 2.40/2.85
% 2.40/2.85 Resimplifying inuse:
% 2.40/2.85 Done
% 2.40/2.85
% 2.40/2.85 Failed to find proof!
% 2.40/2.85 maxweight = 22
% 2.40/2.85 maxnrclauses = 10000000
% 2.40/2.85 Generated: 9661
% 2.40/2.85 Kept: 340
% 2.40/2.85
% 2.40/2.85
% 2.40/2.85 The strategy used was not complete!
% 2.40/2.85
% 2.40/2.85 Increased maxweight to 23
% 2.40/2.85
% 2.40/2.85 Starting Search:
% 2.40/2.85
% 2.40/2.85 Resimplifying inuse:
% 2.40/2.85 Done
% 2.40/2.85
% 2.40/2.85 Failed to find proof!
% 2.40/2.85 maxweight = 23
% 2.40/2.85 maxnrclauses = 10000000
% 2.40/2.85 Generated: 9661
% 2.40/2.85 Kept: 340
% 2.40/2.85
% 2.40/2.85
% 2.40/2.85 The strategy used was not complete!
% 2.40/2.85
% 2.40/2.85 Increased maxweight to 24
% 2.40/2.85
% 2.40/2.85 Starting Search:
% 2.40/2.85
% 2.40/2.85 Resimplifying inuse:
% 2.40/2.85 Done
% 2.40/2.85
% 2.40/2.85 Failed to find proof!
% 2.40/2.85 maxweight = 24
% 2.40/2.85 maxnrclauses = 10000000
% 2.40/2.85 Generated: 9661
% 2.40/2.85 Kept: 340
% 2.40/2.85
% 2.40/2.85
% 2.40/2.85 The strategy used was not complete!
% 2.40/2.85
% 2.40/2.85 Increased maxweight to 25
% 2.40/2.85
% 2.40/2.85 Starting Search:
% 2.40/2.85
% 2.40/2.85 Resimplifying inuse:
% 2.40/2.85 Done
% 2.40/2.85
% 2.40/2.85 Failed to find proof!
% 2.40/2.85 maxweight = 25
% 2.40/2.85 maxnrclauses = 10000000
% 2.40/2.85 Generated: 9661
% 2.40/2.85 Kept: 340
% 2.40/2.85
% 2.40/2.85
% 2.40/2.85 The strategy used was not complete!
% 2.40/2.85
% 2.40/2.85 Increased maxweight to 26
% 2.40/2.85
% 2.40/2.85 Starting Search:
% 2.40/2.85
% 2.40/2.85
% 2.40/2.85 Bliksems!, er is een bewijs:
% 2.40/2.85 % SZS status Unsatisfiable
% 2.40/2.85 % SZS output start Refutation
% 2.40/2.85
% 2.40/2.85 clause( 2, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( T ) ) ) )
% 2.40/2.85 , ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f( Z ) )
% 2.40/2.85 ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~(
% 2.40/2.85 'E'( '0', f( Y ) ) ), 'E'( f( T ), f( suc( T ) ) ), 'E'( f( X ), f( suc(
% 2.40/2.85 X ) ) ), 'E'( f( Y ), f( suc( Y ) ) ), 'E'( f( Z ), f( suc( Z ) ) ), ~(
% 2.40/2.85 iLEQ( suc( X ), suc( Y ) ) ), ~( iLEQ( suc( Y ), suc( Z ) ) ), ~( iLEQ(
% 2.40/2.85 suc( T ), suc( X ) ) ) ] )
% 2.40/2.85 .
% 2.40/2.85 clause( 3, [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( suc( X
% 2.40/2.85 ) ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ),
% 2.40/2.85 iLEQ( suc( X ), suc( X ) ) ] )
% 2.40/2.85 .
% 2.40/2.85 clause( 5, [ 'LE'( f( X ), s( '0' ) ) ] )
% 2.40/2.85 .
% 2.40/2.85 clause( 6, [ 'E'( '0', f( suc( X ) ) ), 'LE'( f( X ), '0' ) ] )
% 2.40/2.85 .
% 2.40/2.85 clause( 10, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc( X )
% 2.40/2.85 ) ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ), ~( 'E'( '0', f( suc( suc( T ) )
% 2.40/2.85 ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f(
% 2.40/2.85 Z ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( f( Y ), f( suc( Y ) ) )
% 2.40/2.85 ), ~( 'E'( '0', f( suc( suc( Y ) ) ) ) ), ~( 'E'( f( T ), f( suc( T ) )
% 2.40/2.85 ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ),
% 2.40/2.85 ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f( suc( suc( Z ) ) ) ) ), ~( 'E'( f(
% 2.40/2.85 Z ), f( suc( Z ) ) ) ), ~( iLEQ( suc( T ), suc( X ) ) ), ~( iLEQ( suc( X
% 2.40/2.85 ), suc( Y ) ) ), ~( iLEQ( suc( Y ), suc( Z ) ) ) ] )
% 2.40/2.85 .
% 2.40/2.85 clause( 11, [ 'E'( '0', f( X ) ), 'LE'( f( X ), '0' ) ] )
% 2.40/2.85 .
% 2.40/2.85 clause( 13, [ 'E'( '0', f( suc( suc( X ) ) ) ), 'LE'( f( X ), '0' ) ] )
% 2.40/2.85 .
% 2.40/2.85 clause( 15, [ ~( 'LE'( f( z ), '0' ) ) ] )
% 2.40/2.85 .
% 2.40/2.85 clause( 21, [ ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), 'E'(
% 2.40/2.85 f( X ), f( suc( X ) ) ), iLEQ( suc( X ), suc( X ) ) ] )
% 2.40/2.85 .
% 2.40/2.85 clause( 83, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( Y ) ) )
% 2.40/2.85 ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( Y ) ) ), 'E'( f( Y ), f( suc(
% 2.40/2.85 Y ) ) ), 'E'( f( X ), f( suc( X ) ) ), ~( iLEQ( suc( Y ), suc( X ) ) ),
% 2.40/2.85 ~( iLEQ( suc( X ), suc( Y ) ) ) ] )
% 2.40/2.85 .
% 2.40/2.85 clause( 84, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ), 'E'(
% 2.40/2.85 f( X ), f( suc( X ) ) ), ~( iLEQ( suc( X ), suc( X ) ) ) ] )
% 2.40/2.85 .
% 2.40/2.85 clause( 193, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc( X
% 2.40/2.85 ) ) ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( '0', f( suc( suc( Y )
% 2.40/2.85 ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( f( Y
% 2.40/2.85 ), f( suc( Y ) ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( iLEQ( suc( X
% 2.40/2.85 ), suc( Y ) ) ), ~( iLEQ( suc( Y ), suc( X ) ) ) ] )
% 2.40/2.85 .
% 2.40/2.85 clause( 194, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc( X
% 2.40/2.85 ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ),
% 2.40/2.85 ~( iLEQ( suc( X ), suc( X ) ) ) ] )
% 2.40/2.85 .
% 2.40/2.85 clause( 333, [ 'E'( '0', f( z ) ) ] )
% 2.40/2.85 .
% 2.40/2.85 clause( 334, [ 'E'( '0', f( suc( z ) ) ) ] )
% 2.40/2.85 .
% 2.40/2.85 clause( 335, [ 'E'( '0', f( suc( suc( z ) ) ) ) ] )
% 2.40/2.85 .
% 2.40/2.85 clause( 336, [ ~( 'E'( '0', f( suc( X ) ) ) ), 'E'( f( X ), f( suc( X ) ) )
% 2.40/2.85 , ~( 'E'( '0', f( X ) ) ) ] )
% 2.40/2.85 .
% 2.40/2.85 clause( 340, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc( X
% 2.40/2.85 ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( iLEQ( suc( X ), suc( X ) ) ) ] )
% 2.40/2.85 .
% 2.40/2.85 clause( 341, [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( suc(
% 2.40/2.85 X ) ) ) ), ~( 'E'( '0', f( X ) ) ), iLEQ( suc( X ), suc( X ) ) ] )
% 2.40/2.85 .
% 2.40/2.85 clause( 342, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~(
% 2.40/2.85 'E'( '0', f( suc( suc( X ) ) ) ) ) ] )
% 2.40/2.85 .
% 2.40/2.85 clause( 344, [ ~( 'E'( '0', f( z ) ) ) ] )
% 2.40/2.85 .
% 2.40/2.85 clause( 346, [] )
% 2.40/2.85 .
% 2.40/2.85
% 2.40/2.85
% 2.40/2.85 % SZS output end Refutation
% 2.40/2.85 found a proof!
% 2.40/2.85
% 2.40/2.85 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 2.40/2.85
% 2.40/2.85 initialclauses(
% 2.40/2.85 [ clause( 348, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( Z
% 2.40/2.85 ) ) ), ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( suc( T ) )
% 2.40/2.85 ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f( Z
% 2.40/2.85 ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( f( Y ), f( suc( Y ) ) ) )
% 2.40/2.85 , ~( 'E'( '0', f( suc( suc( Y ) ) ) ) ), ~( 'E'( f( X ), f( suc( X ) ) )
% 2.40/2.85 ), ~( iLEQ( suc( T ), suc( X ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~(
% 2.40/2.85 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f( suc( suc( Z ) ) ) ) ), ~( 'E'( f( Z
% 2.40/2.85 ), f( suc( Z ) ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), 'E'( f( T ), f(
% 2.40/2.85 suc( T ) ) ) ] )
% 2.40/2.85 , clause( 349, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( Z
% 2.40/2.85 ) ) ), ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( suc( T ) )
% 2.40/2.85 ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f( Z
% 2.40/2.85 ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) )
% 2.40/2.85 , ~( iLEQ( suc( T ), suc( X ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'(
% 2.40/2.85 '0', f( Y ) ) ), ~( 'E'( '0', f( suc( suc( Z ) ) ) ) ), ~( 'E'( f( Z ), f(
% 2.40/2.85 suc( Z ) ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), 'E'( f( T ), f( suc( T )
% 2.40/2.85 ) ), 'E'( f( Y ), f( suc( Y ) ) ) ] )
% 2.40/2.85 , clause( 350, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( Z
% 2.40/2.85 ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'(
% 2.40/2.85 '0', f( T ) ) ), ~( 'E'( '0', f( Z ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) )
% 2.40/2.85 , ~( iLEQ( suc( T ), suc( X ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'(
% 2.40/2.85 '0', f( Y ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), 'E'( f( T ), f( suc( T
% 2.40/2.85 ) ) ), 'E'( f( X ), f( suc( X ) ) ), 'E'( f( Y ), f( suc( Y ) ) ), 'E'(
% 2.40/2.85 f( Z ), f( suc( Z ) ) ) ] )
% 2.40/2.85 , clause( 351, [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( suc(
% 2.40/2.85 X ) ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ),
% 2.40/2.85 iLEQ( suc( X ), suc( X ) ) ] )
% 2.40/2.85 , clause( 352, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( Z
% 2.40/2.85 ) ) ), ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( suc( T ) )
% 2.40/2.85 ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f( Z
% 2.40/2.85 ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( f( Y ), f( suc( Y ) ) ) )
% 2.40/2.85 , ~( 'E'( '0', f( suc( suc( Y ) ) ) ) ), ~( 'E'( f( X ), f( suc( X ) ) )
% 2.40/2.85 ), ~( iLEQ( suc( T ), suc( X ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~(
% 2.40/2.85 'E'( '0', f( Y ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), 'E'( f( T ), f(
% 2.40/2.85 suc( T ) ) ), 'E'( f( Z ), f( suc( Z ) ) ) ] )
% 2.40/2.85 , clause( 353, [ 'LE'( f( X ), s( '0' ) ) ] )
% 2.40/2.85 , clause( 354, [ ~( 'LE'( f( suc( X ) ), s( '0' ) ) ), 'E'( '0', f( suc( X
% 2.40/2.85 ) ) ), 'LE'( f( X ), '0' ) ] )
% 2.40/2.85 , clause( 355, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( Z
% 2.40/2.85 ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'(
% 2.40/2.85 '0', f( T ) ) ), ~( 'E'( '0', f( Z ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) )
% 2.40/2.85 , ~( 'E'( f( Y ), f( suc( Y ) ) ) ), ~( 'E'( '0', f( suc( suc( Y ) ) ) )
% 2.40/2.85 ), ~( iLEQ( suc( T ), suc( X ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~(
% 2.40/2.85 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f( suc( suc( Z ) ) ) ) ), ~( 'E'( f( Z
% 2.40/2.85 ), f( suc( Z ) ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), 'E'( f( T ), f(
% 2.40/2.85 suc( T ) ) ), 'E'( f( X ), f( suc( X ) ) ) ] )
% 2.40/2.85 , clause( 356, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( Z
% 2.40/2.85 ) ) ), ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( suc( T ) )
% 2.40/2.85 ) ), ~( 'E'( '0', f( suc( suc( T ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~(
% 2.40/2.85 'E'( '0', f( T ) ) ), ~( 'E'( '0', f( Z ) ) ), ~( 'E'( '0', f( suc( Y ) )
% 2.40/2.85 ) ), ~( 'E'( f( Y ), f( suc( Y ) ) ) ), ~( 'E'( '0', f( suc( suc( Y ) )
% 2.40/2.85 ) ) ), ~( 'E'( f( T ), f( suc( T ) ) ) ), ~( 'E'( f( X ), f( suc( X ) )
% 2.40/2.85 ) ), ~( iLEQ( suc( T ), suc( X ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ),
% 2.40/2.85 ~( 'E'( '0', f( Y ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), 'E'( f( Z ), f(
% 2.40/2.85 suc( Z ) ) ) ] )
% 2.40/2.85 , clause( 357, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( Z
% 2.40/2.85 ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ), ~( 'E'( '0', f( suc( suc( T ) ) )
% 2.40/2.85 ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f( Z
% 2.40/2.85 ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( f( T ), f( suc( T ) ) ) )
% 2.40/2.85 , ~( iLEQ( suc( T ), suc( X ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'(
% 2.40/2.85 '0', f( Y ) ) ), ~( 'E'( '0', f( suc( suc( Z ) ) ) ) ), ~( 'E'( f( Z ), f(
% 2.40/2.85 suc( Z ) ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), 'E'( f( X ), f( suc( X )
% 2.40/2.85 ) ), 'E'( f( Y ), f( suc( Y ) ) ) ] )
% 2.40/2.85 , clause( 358, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( Z
% 2.40/2.85 ) ) ), ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( suc( T ) )
% 2.40/2.85 ) ), ~( 'E'( '0', f( suc( suc( T ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~(
% 2.40/2.85 'E'( '0', f( T ) ) ), ~( 'E'( '0', f( Z ) ) ), ~( 'E'( '0', f( suc( Y ) )
% 2.40/2.85 ) ), ~( 'E'( f( Y ), f( suc( Y ) ) ) ), ~( 'E'( '0', f( suc( suc( Y ) )
% 2.40/2.85 ) ) ), ~( 'E'( f( T ), f( suc( T ) ) ) ), ~( 'E'( f( X ), f( suc( X ) )
% 2.40/2.85 ) ), ~( iLEQ( suc( T ), suc( X ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ),
% 2.40/2.85 ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f( suc( suc( Z ) ) ) ) ), ~( 'E'( f(
% 2.40/2.85 Z ), f( suc( Z ) ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ) ] )
% 2.40/2.85 , clause( 359, [ ~( 'LE'( f( X ), s( '0' ) ) ), 'E'( '0', f( X ) ), 'LE'( f(
% 2.40/2.85 X ), '0' ) ] )
% 2.40/2.85 , clause( 360, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( Z
% 2.40/2.85 ) ) ), ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( suc( T ) )
% 2.40/2.85 ) ), ~( 'E'( '0', f( suc( suc( T ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~(
% 2.40/2.85 'E'( '0', f( T ) ) ), ~( 'E'( '0', f( Z ) ) ), ~( 'E'( '0', f( suc( Y ) )
% 2.40/2.85 ) ), ~( 'E'( f( T ), f( suc( T ) ) ) ), ~( 'E'( f( X ), f( suc( X ) ) )
% 2.40/2.85 ), ~( iLEQ( suc( T ), suc( X ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~(
% 2.40/2.85 'E'( '0', f( Y ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), 'E'( f( Y ), f(
% 2.40/2.85 suc( Y ) ) ), 'E'( f( Z ), f( suc( Z ) ) ) ] )
% 2.40/2.85 , clause( 361, [ ~( 'LE'( f( suc( suc( X ) ) ), s( '0' ) ) ), 'E'( '0', f(
% 2.40/2.85 suc( suc( X ) ) ) ), 'LE'( f( X ), '0' ) ] )
% 2.40/2.85 , clause( 362, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( Z
% 2.40/2.85 ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'(
% 2.40/2.85 '0', f( T ) ) ), ~( 'E'( '0', f( Z ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) )
% 2.40/2.85 , ~( 'E'( f( Y ), f( suc( Y ) ) ) ), ~( 'E'( '0', f( suc( suc( Y ) ) ) )
% 2.40/2.85 ), ~( iLEQ( suc( T ), suc( X ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~(
% 2.40/2.85 'E'( '0', f( Y ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), 'E'( f( T ), f(
% 2.40/2.85 suc( T ) ) ), 'E'( f( X ), f( suc( X ) ) ), 'E'( f( Z ), f( suc( Z ) ) )
% 2.40/2.85 ] )
% 2.40/2.85 , clause( 363, [ ~( 'LE'( f( z ), '0' ) ) ] )
% 2.40/2.85 , clause( 364, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( Z
% 2.40/2.85 ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ), ~( 'E'( '0', f( suc( suc( T ) ) )
% 2.40/2.85 ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f( Z
% 2.40/2.85 ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( f( Y ), f( suc( Y ) ) ) )
% 2.40/2.85 , ~( 'E'( '0', f( suc( suc( Y ) ) ) ) ), ~( 'E'( f( T ), f( suc( T ) ) )
% 2.40/2.85 ), ~( iLEQ( suc( T ), suc( X ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~(
% 2.40/2.85 'E'( '0', f( Y ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), 'E'( f( X ), f(
% 2.40/2.85 suc( X ) ) ), 'E'( f( Z ), f( suc( Z ) ) ) ] )
% 2.40/2.85 , clause( 365, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( Z
% 2.40/2.85 ) ) ), ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( suc( T ) )
% 2.40/2.85 ) ), ~( 'E'( '0', f( suc( suc( T ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~(
% 2.83/3.22 'E'( '0', f( T ) ) ), ~( 'E'( '0', f( Z ) ) ), ~( 'E'( '0', f( suc( Y ) )
% 2.83/3.22 ) ), ~( 'E'( f( T ), f( suc( T ) ) ) ), ~( 'E'( f( X ), f( suc( X ) ) )
% 2.83/3.22 ), ~( iLEQ( suc( T ), suc( X ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~(
% 2.83/3.22 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f( suc( suc( Z ) ) ) ) ), ~( 'E'( f( Z
% 2.83/3.22 ), f( suc( Z ) ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), 'E'( f( Y ), f(
% 2.83/3.22 suc( Y ) ) ) ] )
% 2.83/3.22 , clause( 366, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( Z
% 2.83/3.22 ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ), ~( 'E'( '0', f( suc( suc( T ) ) )
% 2.83/3.22 ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f( Z
% 2.83/3.22 ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( f( T ), f( suc( T ) ) ) )
% 2.83/3.22 , ~( iLEQ( suc( T ), suc( X ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'(
% 2.83/3.22 '0', f( Y ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), 'E'( f( X ), f( suc( X
% 2.83/3.22 ) ) ), 'E'( f( Y ), f( suc( Y ) ) ), 'E'( f( Z ), f( suc( Z ) ) ) ] )
% 2.83/3.22 , clause( 367, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( Z
% 2.83/3.22 ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'(
% 2.83/3.22 '0', f( T ) ) ), ~( 'E'( '0', f( Z ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) )
% 2.83/3.22 , ~( iLEQ( suc( T ), suc( X ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'(
% 2.83/3.22 '0', f( Y ) ) ), ~( 'E'( '0', f( suc( suc( Z ) ) ) ) ), ~( 'E'( f( Z ), f(
% 2.83/3.22 suc( Z ) ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), 'E'( f( T ), f( suc( T )
% 2.83/3.22 ) ), 'E'( f( X ), f( suc( X ) ) ), 'E'( f( Y ), f( suc( Y ) ) ) ] )
% 2.83/3.22 , clause( 368, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( Z
% 2.83/3.22 ) ) ), ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( suc( T ) )
% 2.83/3.22 ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f( Z
% 2.83/3.22 ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) )
% 2.83/3.22 , ~( iLEQ( suc( T ), suc( X ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'(
% 2.83/3.22 '0', f( Y ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), 'E'( f( T ), f( suc( T
% 2.83/3.22 ) ) ), 'E'( f( Y ), f( suc( Y ) ) ), 'E'( f( Z ), f( suc( Z ) ) ) ] )
% 2.83/3.22 , clause( 369, [ ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ),
% 2.83/3.22 'E'( f( X ), f( suc( X ) ) ), iLEQ( suc( X ), suc( X ) ) ] )
% 2.83/3.22 , clause( 370, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( Z
% 2.83/3.22 ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ), ~( 'E'( '0', f( suc( suc( T ) ) )
% 2.83/3.22 ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f( Z
% 2.83/3.22 ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( f( Y ), f( suc( Y ) ) ) )
% 2.83/3.22 , ~( 'E'( '0', f( suc( suc( Y ) ) ) ) ), ~( 'E'( f( T ), f( suc( T ) ) )
% 2.83/3.22 ), ~( iLEQ( suc( T ), suc( X ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~(
% 2.83/3.22 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f( suc( suc( Z ) ) ) ) ), ~( 'E'( f( Z
% 2.83/3.22 ), f( suc( Z ) ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), 'E'( f( X ), f(
% 2.83/3.22 suc( X ) ) ) ] )
% 2.83/3.22 ] ).
% 2.83/3.22
% 2.83/3.22
% 2.83/3.22
% 2.83/3.22 subsumption(
% 2.83/3.22 clause( 2, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( T ) ) ) )
% 2.83/3.22 , ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f( Z ) )
% 2.83/3.22 ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~(
% 2.83/3.22 'E'( '0', f( Y ) ) ), 'E'( f( T ), f( suc( T ) ) ), 'E'( f( X ), f( suc(
% 2.83/3.22 X ) ) ), 'E'( f( Y ), f( suc( Y ) ) ), 'E'( f( Z ), f( suc( Z ) ) ), ~(
% 2.83/3.22 iLEQ( suc( X ), suc( Y ) ) ), ~( iLEQ( suc( Y ), suc( Z ) ) ), ~( iLEQ(
% 2.83/3.22 suc( T ), suc( X ) ) ) ] )
% 2.83/3.22 , clause( 350, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( Z
% 2.83/3.22 ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'(
% 2.83/3.22 '0', f( T ) ) ), ~( 'E'( '0', f( Z ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) )
% 2.83/3.22 , ~( iLEQ( suc( T ), suc( X ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'(
% 2.83/3.22 '0', f( Y ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), 'E'( f( T ), f( suc( T
% 2.83/3.22 ) ) ), 'E'( f( X ), f( suc( X ) ) ), 'E'( f( Y ), f( suc( Y ) ) ), 'E'(
% 2.83/3.22 f( Z ), f( suc( Z ) ) ) ] )
% 2.83/3.22 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 2.83/3.22 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 13 ), ==>( 2, 1 ), ==>( 3, 2 ),
% 2.83/3.22 ==>( 4, 3 ), ==>( 5, 4 ), ==>( 6, 5 ), ==>( 7, 14 ), ==>( 8, 6 ), ==>( 9
% 2.83/3.22 , 7 ), ==>( 10, 12 ), ==>( 11, 8 ), ==>( 12, 9 ), ==>( 13, 10 ), ==>( 14
% 2.83/3.22 , 11 )] ) ).
% 2.83/3.22
% 2.83/3.22
% 2.83/3.22 subsumption(
% 6.00/6.40 clause( 3, [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( suc( X
% 6.00/6.40 ) ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ),
% 6.00/6.40 iLEQ( suc( X ), suc( X ) ) ] )
% 6.00/6.40 , clause( 351, [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( suc(
% 6.00/6.40 X ) ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ),
% 6.00/6.40 iLEQ( suc( X ), suc( X ) ) ] )
% 6.00/6.40 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 6.00/6.40 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 6.00/6.40
% 6.00/6.40
% 6.00/6.40 subsumption(
% 6.00/6.40 clause( 5, [ 'LE'( f( X ), s( '0' ) ) ] )
% 6.00/6.40 , clause( 353, [ 'LE'( f( X ), s( '0' ) ) ] )
% 6.00/6.40 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.00/6.40
% 6.00/6.40
% 6.00/6.40 resolution(
% 6.00/6.40 clause( 7765, [ 'E'( '0', f( suc( X ) ) ), 'LE'( f( X ), '0' ) ] )
% 6.00/6.40 , clause( 354, [ ~( 'LE'( f( suc( X ) ), s( '0' ) ) ), 'E'( '0', f( suc( X
% 6.00/6.40 ) ) ), 'LE'( f( X ), '0' ) ] )
% 6.00/6.40 , 0, clause( 5, [ 'LE'( f( X ), s( '0' ) ) ] )
% 6.00/6.40 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, suc( X ) )] )
% 6.00/6.40 ).
% 6.00/6.40
% 6.00/6.40
% 6.00/6.40 subsumption(
% 6.00/6.40 clause( 6, [ 'E'( '0', f( suc( X ) ) ), 'LE'( f( X ), '0' ) ] )
% 6.00/6.40 , clause( 7765, [ 'E'( '0', f( suc( X ) ) ), 'LE'( f( X ), '0' ) ] )
% 6.00/6.40 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 6.00/6.40 1 )] ) ).
% 6.00/6.40
% 6.00/6.40
% 6.00/6.40 subsumption(
% 6.00/6.40 clause( 10, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc( X )
% 6.00/6.40 ) ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ), ~( 'E'( '0', f( suc( suc( T ) )
% 6.00/6.40 ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f(
% 6.00/6.40 Z ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( f( Y ), f( suc( Y ) ) )
% 6.00/6.40 ), ~( 'E'( '0', f( suc( suc( Y ) ) ) ) ), ~( 'E'( f( T ), f( suc( T ) )
% 6.00/6.40 ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ),
% 6.00/6.40 ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f( suc( suc( Z ) ) ) ) ), ~( 'E'( f(
% 6.00/6.40 Z ), f( suc( Z ) ) ) ), ~( iLEQ( suc( T ), suc( X ) ) ), ~( iLEQ( suc( X
% 6.00/6.40 ), suc( Y ) ) ), ~( iLEQ( suc( Y ), suc( Z ) ) ) ] )
% 6.00/6.40 , clause( 358, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( Z
% 6.00/6.40 ) ) ), ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( suc( T ) )
% 6.00/6.40 ) ), ~( 'E'( '0', f( suc( suc( T ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~(
% 6.00/6.40 'E'( '0', f( T ) ) ), ~( 'E'( '0', f( Z ) ) ), ~( 'E'( '0', f( suc( Y ) )
% 6.00/6.40 ) ), ~( 'E'( f( Y ), f( suc( Y ) ) ) ), ~( 'E'( '0', f( suc( suc( Y ) )
% 6.00/6.40 ) ) ), ~( 'E'( f( T ), f( suc( T ) ) ) ), ~( 'E'( f( X ), f( suc( X ) )
% 6.00/6.40 ) ), ~( iLEQ( suc( T ), suc( X ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ),
% 6.00/6.40 ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f( suc( suc( Z ) ) ) ) ), ~( 'E'( f(
% 6.00/6.40 Z ), f( suc( Z ) ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ) ] )
% 6.00/6.40 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 6.00/6.40 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 18 ), ==>( 2, 1 ), ==>( 3, 2 ),
% 6.00/6.40 ==>( 4, 3 ), ==>( 5, 4 ), ==>( 6, 5 ), ==>( 7, 6 ), ==>( 8, 7 ), ==>( 9,
% 6.00/6.40 8 ), ==>( 10, 9 ), ==>( 11, 10 ), ==>( 12, 11 ), ==>( 13, 16 ), ==>( 14,
% 6.00/6.40 12 ), ==>( 15, 13 ), ==>( 16, 14 ), ==>( 17, 15 ), ==>( 18, 17 )] ) ).
% 6.00/6.40
% 6.00/6.40
% 6.00/6.40 resolution(
% 6.00/6.40 clause( 16923, [ 'E'( '0', f( X ) ), 'LE'( f( X ), '0' ) ] )
% 6.00/6.40 , clause( 359, [ ~( 'LE'( f( X ), s( '0' ) ) ), 'E'( '0', f( X ) ), 'LE'( f(
% 6.00/6.40 X ), '0' ) ] )
% 6.00/6.40 , 0, clause( 5, [ 'LE'( f( X ), s( '0' ) ) ] )
% 6.00/6.40 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 6.00/6.40 ).
% 6.00/6.40
% 6.00/6.40
% 6.00/6.40 subsumption(
% 6.00/6.40 clause( 11, [ 'E'( '0', f( X ) ), 'LE'( f( X ), '0' ) ] )
% 6.00/6.40 , clause( 16923, [ 'E'( '0', f( X ) ), 'LE'( f( X ), '0' ) ] )
% 6.00/6.40 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 6.00/6.40 1 )] ) ).
% 6.00/6.40
% 6.00/6.40
% 6.00/6.40 resolution(
% 6.00/6.40 clause( 22244, [ 'E'( '0', f( suc( suc( X ) ) ) ), 'LE'( f( X ), '0' ) ] )
% 6.00/6.40 , clause( 361, [ ~( 'LE'( f( suc( suc( X ) ) ), s( '0' ) ) ), 'E'( '0', f(
% 6.00/6.40 suc( suc( X ) ) ) ), 'LE'( f( X ), '0' ) ] )
% 6.00/6.40 , 0, clause( 5, [ 'LE'( f( X ), s( '0' ) ) ] )
% 6.00/6.40 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, suc( suc(
% 6.00/6.40 X ) ) )] )).
% 6.00/6.40
% 6.00/6.40
% 6.00/6.40 subsumption(
% 6.00/6.40 clause( 13, [ 'E'( '0', f( suc( suc( X ) ) ) ), 'LE'( f( X ), '0' ) ] )
% 6.00/6.40 , clause( 22244, [ 'E'( '0', f( suc( suc( X ) ) ) ), 'LE'( f( X ), '0' ) ]
% 6.00/6.40 )
% 6.00/6.40 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 6.00/6.40 1 )] ) ).
% 6.00/6.40
% 6.00/6.40
% 6.00/6.40 subsumption(
% 6.00/6.40 clause( 15, [ ~( 'LE'( f( z ), '0' ) ) ] )
% 7.09/7.49 , clause( 363, [ ~( 'LE'( f( z ), '0' ) ) ] )
% 7.09/7.49 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 7.09/7.49
% 7.09/7.49
% 7.09/7.49 subsumption(
% 7.09/7.49 clause( 21, [ ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), 'E'(
% 7.09/7.49 f( X ), f( suc( X ) ) ), iLEQ( suc( X ), suc( X ) ) ] )
% 7.09/7.49 , clause( 369, [ ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ),
% 7.09/7.49 'E'( f( X ), f( suc( X ) ) ), iLEQ( suc( X ), suc( X ) ) ] )
% 7.09/7.49 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 7.09/7.49 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 7.09/7.49
% 7.09/7.49
% 7.09/7.49 factor(
% 7.09/7.49 clause( 36032, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( Y ) )
% 7.09/7.49 ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f( Z
% 7.09/7.49 ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ),
% 7.09/7.49 ~( 'E'( '0', f( Y ) ) ), 'E'( f( Y ), f( suc( Y ) ) ), 'E'( f( X ), f(
% 7.09/7.49 suc( X ) ) ), 'E'( f( Z ), f( suc( Z ) ) ), ~( iLEQ( suc( X ), suc( Y ) )
% 7.09/7.49 ), ~( iLEQ( suc( Y ), suc( Z ) ) ), ~( iLEQ( suc( Y ), suc( X ) ) ) ] )
% 7.09/7.49 , clause( 2, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( T ) ) )
% 7.09/7.49 ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f( Z )
% 7.09/7.49 ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~(
% 7.09/7.49 'E'( '0', f( Y ) ) ), 'E'( f( T ), f( suc( T ) ) ), 'E'( f( X ), f( suc(
% 7.09/7.49 X ) ) ), 'E'( f( Y ), f( suc( Y ) ) ), 'E'( f( Z ), f( suc( Z ) ) ), ~(
% 7.09/7.49 iLEQ( suc( X ), suc( Y ) ) ), ~( iLEQ( suc( Y ), suc( Z ) ) ), ~( iLEQ(
% 7.09/7.49 suc( T ), suc( X ) ) ) ] )
% 7.09/7.49 , 8, 10, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, Y )] )
% 7.09/7.49 ).
% 7.09/7.49
% 7.09/7.49
% 7.09/7.49 factor(
% 7.09/7.49 clause( 36062, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( Y ) )
% 7.09/7.49 ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f( X
% 7.09/7.49 ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ),
% 7.09/7.49 ~( 'E'( '0', f( Y ) ) ), 'E'( f( Y ), f( suc( Y ) ) ), 'E'( f( X ), f(
% 7.09/7.49 suc( X ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), ~( iLEQ( suc( Y ), suc( X
% 7.09/7.49 ) ) ), ~( iLEQ( suc( Y ), suc( X ) ) ) ] )
% 7.09/7.49 , clause( 36032, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( Y )
% 7.09/7.49 ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f(
% 7.09/7.49 Z ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ),
% 7.09/7.49 ~( 'E'( '0', f( Y ) ) ), 'E'( f( Y ), f( suc( Y ) ) ), 'E'( f( X ), f(
% 7.09/7.49 suc( X ) ) ), 'E'( f( Z ), f( suc( Z ) ) ), ~( iLEQ( suc( X ), suc( Y ) )
% 7.09/7.49 ), ~( iLEQ( suc( Y ), suc( Z ) ) ), ~( iLEQ( suc( Y ), suc( X ) ) ) ] )
% 7.09/7.49 , 9, 10, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, X )] )).
% 7.09/7.49
% 7.09/7.49
% 7.09/7.49 factor(
% 7.09/7.49 clause( 36064, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( Y ) )
% 7.09/7.49 ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f( X
% 7.09/7.49 ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( '0', f( Y ) ) ), 'E'( f(
% 7.09/7.49 Y ), f( suc( Y ) ) ), 'E'( f( X ), f( suc( X ) ) ), ~( iLEQ( suc( X ),
% 7.09/7.49 suc( Y ) ) ), ~( iLEQ( suc( Y ), suc( X ) ) ), ~( iLEQ( suc( Y ), suc( X
% 7.09/7.49 ) ) ) ] )
% 7.09/7.49 , clause( 36062, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( Y )
% 7.09/7.49 ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f(
% 7.09/7.49 X ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ),
% 7.09/7.49 ~( 'E'( '0', f( Y ) ) ), 'E'( f( Y ), f( suc( Y ) ) ), 'E'( f( X ), f(
% 7.09/7.49 suc( X ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), ~( iLEQ( suc( Y ), suc( X
% 7.09/7.49 ) ) ), ~( iLEQ( suc( Y ), suc( X ) ) ) ] )
% 7.09/7.49 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 7.09/7.49
% 7.09/7.49
% 7.09/7.49 factor(
% 7.09/7.49 clause( 36067, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( Y ) )
% 7.09/7.49 ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f( X
% 7.09/7.49 ) ) ), ~( 'E'( '0', f( Y ) ) ), 'E'( f( Y ), f( suc( Y ) ) ), 'E'( f( X
% 7.09/7.49 ), f( suc( X ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), ~( iLEQ( suc( Y ),
% 7.09/7.49 suc( X ) ) ), ~( iLEQ( suc( Y ), suc( X ) ) ) ] )
% 7.09/7.49 , clause( 36064, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( Y )
% 7.09/7.49 ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f(
% 7.09/7.49 X ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( '0', f( Y ) ) ), 'E'( f(
% 7.09/7.49 Y ), f( suc( Y ) ) ), 'E'( f( X ), f( suc( X ) ) ), ~( iLEQ( suc( X ),
% 7.09/7.49 suc( Y ) ) ), ~( iLEQ( suc( Y ), suc( X ) ) ), ~( iLEQ( suc( Y ), suc( X
% 7.09/7.49 ) ) ) ] )
% 7.09/7.49 , 1, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 7.09/7.49
% 7.09/7.49
% 7.09/7.49 factor(
% 7.09/7.49 clause( 36070, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( Y ) )
% 7.09/7.49 ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f( X
% 7.09/7.49 ) ) ), ~( 'E'( '0', f( Y ) ) ), 'E'( f( Y ), f( suc( Y ) ) ), 'E'( f( X
% 7.09/7.49 ), f( suc( X ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), ~( iLEQ( suc( Y ),
% 7.09/7.49 suc( X ) ) ) ] )
% 7.09/7.49 , clause( 36067, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( Y )
% 7.09/7.49 ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f(
% 7.09/7.49 X ) ) ), ~( 'E'( '0', f( Y ) ) ), 'E'( f( Y ), f( suc( Y ) ) ), 'E'( f( X
% 7.09/7.49 ), f( suc( X ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), ~( iLEQ( suc( Y ),
% 7.09/7.49 suc( X ) ) ), ~( iLEQ( suc( Y ), suc( X ) ) ) ] )
% 7.09/7.49 , 9, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 7.09/7.49
% 7.09/7.49
% 7.09/7.49 factor(
% 7.09/7.49 clause( 36072, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( Y ) )
% 7.09/7.49 ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f( Y
% 7.09/7.49 ) ) ), 'E'( f( Y ), f( suc( Y ) ) ), 'E'( f( X ), f( suc( X ) ) ), ~(
% 7.09/7.49 iLEQ( suc( X ), suc( Y ) ) ), ~( iLEQ( suc( Y ), suc( X ) ) ) ] )
% 7.09/7.49 , clause( 36070, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( Y )
% 7.09/7.49 ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f(
% 7.09/7.49 X ) ) ), ~( 'E'( '0', f( Y ) ) ), 'E'( f( Y ), f( suc( Y ) ) ), 'E'( f( X
% 7.09/7.49 ), f( suc( X ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), ~( iLEQ( suc( Y ),
% 7.09/7.49 suc( X ) ) ) ] )
% 7.09/7.49 , 2, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 7.09/7.49
% 7.09/7.49
% 7.09/7.49 factor(
% 7.09/7.49 clause( 36075, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( Y ) )
% 7.09/7.49 ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( Y ) ) ), 'E'( f( Y ), f(
% 7.09/7.49 suc( Y ) ) ), 'E'( f( X ), f( suc( X ) ) ), ~( iLEQ( suc( X ), suc( Y ) )
% 7.09/7.49 ), ~( iLEQ( suc( Y ), suc( X ) ) ) ] )
% 7.09/7.49 , clause( 36072, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( Y )
% 7.09/7.49 ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f(
% 7.09/7.49 Y ) ) ), 'E'( f( Y ), f( suc( Y ) ) ), 'E'( f( X ), f( suc( X ) ) ), ~(
% 7.09/7.49 iLEQ( suc( X ), suc( Y ) ) ), ~( iLEQ( suc( Y ), suc( X ) ) ) ] )
% 7.09/7.49 , 3, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 7.09/7.49
% 7.09/7.49
% 7.09/7.49 subsumption(
% 7.09/7.49 clause( 83, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( Y ) ) )
% 7.09/7.49 ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( Y ) ) ), 'E'( f( Y ), f( suc(
% 7.09/7.49 Y ) ) ), 'E'( f( X ), f( suc( X ) ) ), ~( iLEQ( suc( Y ), suc( X ) ) ),
% 7.09/7.49 ~( iLEQ( suc( X ), suc( Y ) ) ) ] )
% 7.09/7.49 , clause( 36075, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( Y )
% 7.09/7.49 ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( Y ) ) ), 'E'( f( Y ), f(
% 7.09/7.49 suc( Y ) ) ), 'E'( f( X ), f( suc( X ) ) ), ~( iLEQ( suc( X ), suc( Y ) )
% 7.09/7.49 ), ~( iLEQ( suc( Y ), suc( X ) ) ) ] )
% 7.09/7.49 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 7.09/7.49 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 ), ==>( 5, 5 ),
% 7.09/7.49 ==>( 6, 7 ), ==>( 7, 6 )] ) ).
% 7.09/7.49
% 7.09/7.49
% 7.09/7.49 factor(
% 7.09/7.49 clause( 36139, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( X ) )
% 7.09/7.49 ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( X ) ) ), 'E'( f( X ), f(
% 7.09/7.49 suc( X ) ) ), ~( iLEQ( suc( X ), suc( X ) ) ), ~( iLEQ( suc( X ), suc( X
% 7.09/7.49 ) ) ) ] )
% 7.09/7.49 , clause( 83, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( Y ) )
% 7.09/7.49 ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( Y ) ) ), 'E'( f( Y ), f(
% 7.09/7.49 suc( Y ) ) ), 'E'( f( X ), f( suc( X ) ) ), ~( iLEQ( suc( Y ), suc( X ) )
% 7.09/7.49 ), ~( iLEQ( suc( X ), suc( Y ) ) ) ] )
% 7.09/7.49 , 4, 5, substitution( 0, [ :=( X, X ), :=( Y, X )] )).
% 7.09/7.49
% 7.09/7.49
% 7.09/7.49 factor(
% 7.09/7.49 clause( 36140, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ),
% 7.09/7.49 ~( 'E'( '0', f( X ) ) ), 'E'( f( X ), f( suc( X ) ) ), ~( iLEQ( suc( X )
% 7.09/7.49 , suc( X ) ) ), ~( iLEQ( suc( X ), suc( X ) ) ) ] )
% 7.09/7.49 , clause( 36139, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( X )
% 7.09/7.49 ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( X ) ) ), 'E'( f( X ), f(
% 7.09/7.49 suc( X ) ) ), ~( iLEQ( suc( X ), suc( X ) ) ), ~( iLEQ( suc( X ), suc( X
% 7.09/7.49 ) ) ) ] )
% 7.09/7.49 , 0, 1, substitution( 0, [ :=( X, X )] )).
% 7.09/7.49
% 7.09/7.49
% 7.09/7.49 factor(
% 7.09/7.49 clause( 36142, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ),
% 7.09/7.49 ~( 'E'( '0', f( X ) ) ), 'E'( f( X ), f( suc( X ) ) ), ~( iLEQ( suc( X )
% 7.71/8.13 , suc( X ) ) ) ] )
% 7.71/8.13 , clause( 36140, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) )
% 7.71/8.13 , ~( 'E'( '0', f( X ) ) ), 'E'( f( X ), f( suc( X ) ) ), ~( iLEQ( suc( X
% 7.71/8.13 ), suc( X ) ) ), ~( iLEQ( suc( X ), suc( X ) ) ) ] )
% 7.71/8.13 , 4, 5, substitution( 0, [ :=( X, X )] )).
% 7.71/8.13
% 7.71/8.13
% 7.71/8.13 factor(
% 7.71/8.13 clause( 36143, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ),
% 7.71/8.13 'E'( f( X ), f( suc( X ) ) ), ~( iLEQ( suc( X ), suc( X ) ) ) ] )
% 7.71/8.13 , clause( 36142, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) )
% 7.71/8.13 , ~( 'E'( '0', f( X ) ) ), 'E'( f( X ), f( suc( X ) ) ), ~( iLEQ( suc( X
% 7.71/8.13 ), suc( X ) ) ) ] )
% 7.71/8.13 , 1, 2, substitution( 0, [ :=( X, X )] )).
% 7.71/8.13
% 7.71/8.13
% 7.71/8.13 subsumption(
% 7.71/8.13 clause( 84, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ), 'E'(
% 7.71/8.13 f( X ), f( suc( X ) ) ), ~( iLEQ( suc( X ), suc( X ) ) ) ] )
% 7.71/8.13 , clause( 36143, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) )
% 7.71/8.13 , 'E'( f( X ), f( suc( X ) ) ), ~( iLEQ( suc( X ), suc( X ) ) ) ] )
% 7.71/8.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 7.71/8.13 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 7.71/8.13
% 7.71/8.13
% 7.71/8.13 factor(
% 7.71/8.13 clause( 36155, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc(
% 7.71/8.13 X ) ) ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( '0', f( suc( suc( Y
% 7.71/8.13 ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0'
% 7.71/8.13 , f( X ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'( f( Z ), f( suc( Z )
% 7.71/8.13 ) ) ), ~( 'E'( '0', f( suc( suc( Z ) ) ) ) ), ~( 'E'( f( Y ), f( suc( Y
% 7.71/8.13 ) ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( X ) ) )
% 7.71/8.13 ), ~( 'E'( '0', f( Z ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( iLEQ(
% 7.71/8.13 suc( Y ), suc( X ) ) ), ~( iLEQ( suc( X ), suc( Z ) ) ), ~( iLEQ( suc( Z
% 7.71/8.13 ), suc( X ) ) ) ] )
% 7.71/8.13 , clause( 10, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc( X
% 7.71/8.13 ) ) ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ), ~( 'E'( '0', f( suc( suc( T )
% 7.71/8.13 ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0',
% 7.71/8.13 f( Z ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( f( Y ), f( suc( Y ) )
% 7.71/8.13 ) ), ~( 'E'( '0', f( suc( suc( Y ) ) ) ) ), ~( 'E'( f( T ), f( suc( T )
% 7.71/8.13 ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) )
% 7.71/8.13 , ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f( suc( suc( Z ) ) ) ) ), ~( 'E'(
% 7.71/8.13 f( Z ), f( suc( Z ) ) ) ), ~( iLEQ( suc( T ), suc( X ) ) ), ~( iLEQ( suc(
% 7.71/8.13 X ), suc( Y ) ) ), ~( iLEQ( suc( Y ), suc( Z ) ) ) ] )
% 7.71/8.13 , 1, 14, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, X ), :=( T, Y )] )
% 7.71/8.13 ).
% 7.71/8.13
% 7.71/8.13
% 7.71/8.13 factor(
% 7.71/8.13 clause( 36595, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc(
% 7.71/8.13 X ) ) ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( '0', f( suc( suc( Y
% 7.71/8.13 ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0'
% 7.71/8.13 , f( X ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( f( Y ), f( suc( Y )
% 7.71/8.13 ) ) ), ~( 'E'( f( Y ), f( suc( Y ) ) ) ), ~( 'E'( f( X ), f( suc( X ) )
% 7.71/8.13 ) ), ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( f(
% 7.71/8.13 X ), f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( X ) ) ), ~( iLEQ( suc( X
% 7.71/8.13 ), suc( Y ) ) ), ~( iLEQ( suc( Y ), suc( X ) ) ) ] )
% 7.71/8.13 , clause( 36155, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc(
% 7.71/8.13 X ) ) ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( '0', f( suc( suc( Y
% 7.71/8.13 ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0'
% 7.71/8.13 , f( X ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'( f( Z ), f( suc( Z )
% 7.71/8.13 ) ) ), ~( 'E'( '0', f( suc( suc( Z ) ) ) ) ), ~( 'E'( f( Y ), f( suc( Y
% 7.71/8.13 ) ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( X ) ) )
% 7.71/8.13 ), ~( 'E'( '0', f( Z ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( iLEQ(
% 7.71/8.13 suc( Y ), suc( X ) ) ), ~( iLEQ( suc( X ), suc( Z ) ) ), ~( iLEQ( suc( Z
% 7.71/8.13 ), suc( X ) ) ) ] )
% 7.71/8.13 , 3, 9, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y )] )).
% 7.71/8.13
% 7.71/8.13
% 7.71/8.13 factor(
% 7.71/8.13 clause( 36597, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc(
% 7.71/8.13 X ) ) ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( '0', f( suc( suc( Y
% 7.71/8.13 ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0'
% 7.71/8.13 , f( X ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( f( Y ), f( suc( Y )
% 7.71/8.13 ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( X ) ) ) )
% 7.71/8.13 , ~( 'E'( '0', f( Y ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( iLEQ(
% 7.71/8.13 suc( Y ), suc( X ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), ~( iLEQ( suc( Y
% 7.71/8.13 ), suc( X ) ) ) ] )
% 7.71/8.13 , clause( 36595, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc(
% 7.71/8.13 X ) ) ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( '0', f( suc( suc( Y
% 7.71/8.13 ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0'
% 7.71/8.13 , f( X ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( f( Y ), f( suc( Y )
% 7.71/8.13 ) ) ), ~( 'E'( f( Y ), f( suc( Y ) ) ) ), ~( 'E'( f( X ), f( suc( X ) )
% 7.71/8.13 ) ), ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( f(
% 7.71/8.13 X ), f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( X ) ) ), ~( iLEQ( suc( X
% 7.71/8.13 ), suc( Y ) ) ), ~( iLEQ( suc( Y ), suc( X ) ) ) ] )
% 7.71/8.13 , 8, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 7.71/8.13
% 7.71/8.13
% 7.71/8.13 factor(
% 7.71/8.13 clause( 36599, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc(
% 7.71/8.13 X ) ) ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( '0', f( suc( suc( Y
% 7.71/8.13 ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0'
% 7.71/8.13 , f( X ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( f( Y ), f( suc( Y )
% 7.71/8.13 ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( X ) ) ) )
% 7.71/8.13 , ~( 'E'( '0', f( Y ) ) ), ~( iLEQ( suc( Y ), suc( X ) ) ), ~( iLEQ( suc(
% 7.71/8.13 X ), suc( Y ) ) ), ~( iLEQ( suc( Y ), suc( X ) ) ) ] )
% 7.71/8.13 , clause( 36597, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc(
% 7.71/8.13 X ) ) ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( '0', f( suc( suc( Y
% 7.71/8.13 ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0'
% 7.71/8.13 , f( X ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( f( Y ), f( suc( Y )
% 7.71/8.13 ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( X ) ) ) )
% 7.71/8.13 , ~( 'E'( '0', f( Y ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( iLEQ(
% 7.71/8.13 suc( Y ), suc( X ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), ~( iLEQ( suc( Y
% 7.71/8.13 ), suc( X ) ) ) ] )
% 7.71/8.13 , 9, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 7.71/8.13
% 7.71/8.13
% 7.71/8.13 factor(
% 7.71/8.13 clause( 36600, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc(
% 7.71/8.13 X ) ) ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( '0', f( suc( suc( Y
% 7.71/8.13 ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0'
% 7.71/8.13 , f( X ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( f( Y ), f( suc( Y )
% 7.71/8.13 ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( '0', f( Y ) ) ), ~(
% 7.71/8.13 iLEQ( suc( Y ), suc( X ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), ~( iLEQ(
% 7.71/8.13 suc( Y ), suc( X ) ) ) ] )
% 7.71/8.13 , clause( 36599, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc(
% 7.71/8.13 X ) ) ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( '0', f( suc( suc( Y
% 7.71/8.13 ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0'
% 7.71/8.13 , f( X ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( f( Y ), f( suc( Y )
% 7.71/8.13 ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( X ) ) ) )
% 7.71/8.13 , ~( 'E'( '0', f( Y ) ) ), ~( iLEQ( suc( Y ), suc( X ) ) ), ~( iLEQ( suc(
% 7.71/8.13 X ), suc( Y ) ) ), ~( iLEQ( suc( Y ), suc( X ) ) ) ] )
% 7.71/8.13 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 7.71/8.13
% 7.71/8.13
% 7.71/8.13 factor(
% 7.71/8.13 clause( 36602, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc(
% 7.71/8.13 X ) ) ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( '0', f( suc( suc( Y
% 7.71/8.13 ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0'
% 7.71/8.13 , f( X ) ) ), ~( 'E'( f( Y ), f( suc( Y ) ) ) ), ~( 'E'( f( X ), f( suc(
% 7.71/8.13 X ) ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( iLEQ( suc( Y ), suc( X ) ) ), ~(
% 7.71/8.13 iLEQ( suc( X ), suc( Y ) ) ), ~( iLEQ( suc( Y ), suc( X ) ) ) ] )
% 7.71/8.13 , clause( 36600, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc(
% 7.71/8.13 X ) ) ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( '0', f( suc( suc( Y
% 7.71/8.13 ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0'
% 7.71/8.13 , f( X ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( f( Y ), f( suc( Y )
% 7.71/8.13 ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( '0', f( Y ) ) ), ~(
% 7.71/8.13 iLEQ( suc( Y ), suc( X ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), ~( iLEQ(
% 7.71/8.13 suc( Y ), suc( X ) ) ) ] )
% 7.71/8.13 , 2, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 7.71/8.13
% 7.71/8.13
% 7.71/8.13 factor(
% 7.71/8.13 clause( 36606, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc(
% 7.71/8.13 X ) ) ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( '0', f( suc( suc( Y
% 7.71/8.13 ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0'
% 7.71/8.13 , f( X ) ) ), ~( 'E'( f( Y ), f( suc( Y ) ) ) ), ~( 'E'( f( X ), f( suc(
% 7.71/8.13 X ) ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( iLEQ( suc( Y ), suc( X ) ) ), ~(
% 7.71/8.13 iLEQ( suc( X ), suc( Y ) ) ) ] )
% 7.71/8.13 , clause( 36602, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc(
% 7.71/8.13 X ) ) ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( '0', f( suc( suc( Y
% 7.71/8.13 ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0'
% 7.71/8.13 , f( X ) ) ), ~( 'E'( f( Y ), f( suc( Y ) ) ) ), ~( 'E'( f( X ), f( suc(
% 7.71/8.13 X ) ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( iLEQ( suc( Y ), suc( X ) ) ), ~(
% 7.71/8.13 iLEQ( suc( X ), suc( Y ) ) ), ~( iLEQ( suc( Y ), suc( X ) ) ) ] )
% 7.71/8.13 , 10, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 7.71/8.13
% 7.71/8.13
% 7.71/8.13 factor(
% 7.71/8.13 clause( 36609, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc(
% 7.71/8.13 X ) ) ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( '0', f( suc( suc( Y
% 7.71/8.13 ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( f(
% 7.71/8.13 Y ), f( suc( Y ) ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( '0', f(
% 7.71/8.13 Y ) ) ), ~( iLEQ( suc( Y ), suc( X ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) )
% 7.71/8.13 ] )
% 7.71/8.13 , clause( 36606, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc(
% 7.71/8.13 X ) ) ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( '0', f( suc( suc( Y
% 7.71/8.13 ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0'
% 7.71/8.13 , f( X ) ) ), ~( 'E'( f( Y ), f( suc( Y ) ) ) ), ~( 'E'( f( X ), f( suc(
% 7.71/8.13 X ) ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( iLEQ( suc( Y ), suc( X ) ) ), ~(
% 7.71/8.13 iLEQ( suc( X ), suc( Y ) ) ) ] )
% 7.71/8.13 , 4, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 7.71/8.13
% 7.71/8.13
% 7.71/8.13 factor(
% 7.71/8.13 clause( 36612, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc(
% 7.71/8.13 X ) ) ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( '0', f( suc( suc( Y
% 7.71/8.13 ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( f(
% 7.71/8.13 Y ), f( suc( Y ) ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( iLEQ( suc(
% 7.71/8.13 Y ), suc( X ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ) ] )
% 7.71/8.13 , clause( 36609, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc(
% 7.71/8.13 X ) ) ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( '0', f( suc( suc( Y
% 7.71/8.13 ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( f(
% 7.71/8.13 Y ), f( suc( Y ) ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( '0', f(
% 7.71/8.13 Y ) ) ), ~( iLEQ( suc( Y ), suc( X ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) )
% 7.71/8.13 ] )
% 7.71/8.13 , 5, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 7.71/8.13
% 7.71/8.13
% 7.71/8.13 subsumption(
% 7.71/8.13 clause( 193, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc( X
% 7.71/8.13 ) ) ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( '0', f( suc( suc( Y )
% 7.71/8.13 ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( f( Y
% 7.71/8.13 ), f( suc( Y ) ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( iLEQ( suc( X
% 7.71/8.13 ), suc( Y ) ) ), ~( iLEQ( suc( Y ), suc( X ) ) ) ] )
% 7.71/8.13 , clause( 36612, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc(
% 7.71/8.13 X ) ) ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( '0', f( suc( suc( Y
% 7.71/8.13 ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( f(
% 7.71/8.13 Y ), f( suc( Y ) ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( iLEQ( suc(
% 7.71/8.13 Y ), suc( X ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ) ] )
% 7.71/8.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 7.71/8.13 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 ), ==>( 5, 5 ),
% 7.71/8.13 ==>( 6, 6 ), ==>( 7, 7 ), ==>( 8, 9 ), ==>( 9, 8 )] ) ).
% 7.71/8.13
% 7.71/8.13
% 7.71/8.13 factor(
% 7.71/8.13 clause( 36640, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc(
% 7.71/8.13 X ) ) ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~(
% 7.71/8.13 'E'( '0', f( X ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( f( X ),
% 7.71/8.13 f( suc( X ) ) ) ), ~( iLEQ( suc( X ), suc( X ) ) ), ~( iLEQ( suc( X ),
% 7.71/8.13 suc( X ) ) ) ] )
% 7.71/8.13 , clause( 193, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc(
% 7.71/8.13 X ) ) ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( '0', f( suc( suc( Y
% 7.71/8.13 ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( f(
% 7.71/8.13 Y ), f( suc( Y ) ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( iLEQ( suc(
% 7.71/8.13 X ), suc( Y ) ) ), ~( iLEQ( suc( Y ), suc( X ) ) ) ] )
% 7.71/8.13 , 1, 3, substitution( 0, [ :=( X, X ), :=( Y, X )] )).
% 7.71/8.13
% 7.71/8.13
% 7.71/8.13 factor(
% 7.71/8.13 clause( 36643, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc(
% 7.71/8.13 X ) ) ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~(
% 7.71/8.13 'E'( '0', f( X ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( iLEQ( suc( X
% 7.71/8.13 ), suc( X ) ) ), ~( iLEQ( suc( X ), suc( X ) ) ) ] )
% 7.71/8.13 , clause( 36640, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc(
% 7.71/8.13 X ) ) ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~(
% 7.71/8.13 'E'( '0', f( X ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( f( X ),
% 7.71/8.13 f( suc( X ) ) ) ), ~( iLEQ( suc( X ), suc( X ) ) ), ~( iLEQ( suc( X ),
% 7.71/8.13 suc( X ) ) ) ] )
% 7.71/8.13 , 5, 6, substitution( 0, [ :=( X, X )] )).
% 7.71/8.13
% 7.71/8.13
% 7.71/8.13 factor(
% 7.71/8.13 clause( 36644, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc(
% 7.71/8.13 X ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( f(
% 7.71/8.13 X ), f( suc( X ) ) ) ), ~( iLEQ( suc( X ), suc( X ) ) ), ~( iLEQ( suc( X
% 7.71/8.13 ), suc( X ) ) ) ] )
% 7.71/8.13 , clause( 36643, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc(
% 7.71/8.13 X ) ) ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~(
% 7.71/8.13 'E'( '0', f( X ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( iLEQ( suc( X
% 7.71/8.13 ), suc( X ) ) ), ~( iLEQ( suc( X ), suc( X ) ) ) ] )
% 7.71/8.13 , 0, 2, substitution( 0, [ :=( X, X )] )).
% 7.71/8.13
% 7.71/8.13
% 7.71/8.13 factor(
% 7.71/8.13 clause( 36646, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc(
% 7.71/8.13 X ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( f(
% 7.71/8.13 X ), f( suc( X ) ) ) ), ~( iLEQ( suc( X ), suc( X ) ) ) ] )
% 7.71/8.13 , clause( 36644, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc(
% 7.71/8.13 X ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( f(
% 7.71/8.13 X ), f( suc( X ) ) ) ), ~( iLEQ( suc( X ), suc( X ) ) ), ~( iLEQ( suc( X
% 7.71/8.13 ), suc( X ) ) ) ] )
% 7.71/8.13 , 5, 6, substitution( 0, [ :=( X, X )] )).
% 7.71/8.13
% 7.71/8.13
% 7.71/8.13 factor(
% 7.71/8.13 clause( 36647, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc(
% 7.71/8.13 X ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ),
% 7.71/8.13 ~( iLEQ( suc( X ), suc( X ) ) ) ] )
% 7.71/8.13 , clause( 36646, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc(
% 7.71/8.13 X ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( f(
% 7.71/8.13 X ), f( suc( X ) ) ) ), ~( iLEQ( suc( X ), suc( X ) ) ) ] )
% 7.71/8.13 , 2, 3, substitution( 0, [ :=( X, X )] )).
% 7.71/8.13
% 7.71/8.13
% 7.71/8.13 subsumption(
% 7.71/8.13 clause( 194, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc( X
% 7.71/8.13 ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ),
% 7.71/8.13 ~( iLEQ( suc( X ), suc( X ) ) ) ] )
% 7.71/8.13 , clause( 36647, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc(
% 7.71/8.13 X ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ),
% 7.71/8.13 ~( iLEQ( suc( X ), suc( X ) ) ) ] )
% 7.71/8.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 7.71/8.13 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 7.71/8.13
% 7.71/8.13
% 7.71/8.13 resolution(
% 7.71/8.13 clause( 36649, [ 'E'( '0', f( z ) ) ] )
% 7.71/8.13 , clause( 15, [ ~( 'LE'( f( z ), '0' ) ) ] )
% 7.71/8.13 , 0, clause( 11, [ 'E'( '0', f( X ) ), 'LE'( f( X ), '0' ) ] )
% 7.71/8.13 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, z )] )).
% 7.71/8.13
% 7.71/8.13
% 7.71/8.13 subsumption(
% 7.71/8.13 clause( 333, [ 'E'( '0', f( z ) ) ] )
% 7.71/8.13 , clause( 36649, [ 'E'( '0', f( z ) ) ] )
% 7.71/8.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 7.71/8.13
% 7.71/8.13
% 7.71/8.13 resolution(
% 7.71/8.13 clause( 36650, [ 'E'( '0', f( suc( z ) ) ) ] )
% 7.71/8.13 , clause( 15, [ ~( 'LE'( f( z ), '0' ) ) ] )
% 7.71/8.13 , 0, clause( 6, [ 'E'( '0', f( suc( X ) ) ), 'LE'( f( X ), '0' ) ] )
% 7.71/8.13 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, z )] )).
% 7.71/8.13
% 7.71/8.13
% 7.71/8.13 subsumption(
% 7.71/8.13 clause( 334, [ 'E'( '0', f( suc( z ) ) ) ] )
% 7.71/8.13 , clause( 36650, [ 'E'( '0', f( suc( z ) ) ) ] )
% 7.71/8.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 7.71/8.13
% 7.71/8.13
% 7.71/8.13 resolution(
% 7.71/8.13 clause( 36651, [ 'E'( '0', f( suc( suc( z ) ) ) ) ] )
% 7.71/8.13 , clause( 15, [ ~( 'LE'( f( z ), '0' ) ) ] )
% 7.71/8.13 , 0, clause( 13, [ 'E'( '0', f( suc( suc( X ) ) ) ), 'LE'( f( X ), '0' ) ]
% 7.71/8.13 )
% 7.71/8.13 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, z )] )).
% 7.71/8.13
% 7.71/8.13
% 7.71/8.13 subsumption(
% 7.71/8.13 clause( 335, [ 'E'( '0', f( suc( suc( z ) ) ) ) ] )
% 7.71/8.13 , clause( 36651, [ 'E'( '0', f( suc( suc( z ) ) ) ) ] )
% 7.71/8.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 7.71/8.13
% 7.71/8.13
% 7.71/8.13 resolution(
% 7.71/8.13 clause( 36652, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ),
% 7.71/8.13 'E'( f( X ), f( suc( X ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f(
% 7.71/8.13 suc( X ) ) ) ), 'E'( f( X ), f( suc( X ) ) ) ] )
% 7.71/8.13 , clause( 84, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ),
% 7.71/8.13 'E'( f( X ), f( suc( X ) ) ), ~( iLEQ( suc( X ), suc( X ) ) ) ] )
% 7.71/8.13 , 3, clause( 21, [ ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( X ) ) ) )
% 7.71/8.13 , 'E'( f( X ), f( suc( X ) ) ), iLEQ( suc( X ), suc( X ) ) ] )
% 7.71/8.13 , 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 7.71/8.13 ).
% 7.71/8.13
% 7.71/8.13
% 7.71/8.13 factor(
% 7.71/8.13 clause( 36654, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ),
% 7.71/8.13 'E'( f( X ), f( suc( X ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f(
% 7.71/8.13 suc( X ) ) ) ) ] )
% 7.71/8.13 , clause( 36652, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) )
% 7.71/8.13 , 'E'( f( X ), f( suc( X ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f(
% 7.71/8.13 suc( X ) ) ) ), 'E'( f( X ), f( suc( X ) ) ) ] )
% 7.71/8.13 , 2, 5, substitution( 0, [ :=( X, X )] )).
% 7.71/8.13
% 7.71/8.13
% 7.71/8.13 factor(
% 7.71/8.13 clause( 36655, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ),
% 7.71/8.13 'E'( f( X ), f( suc( X ) ) ), ~( 'E'( '0', f( X ) ) ) ] )
% 7.71/8.13 , clause( 36654, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) )
% 7.71/8.13 , 'E'( f( X ), f( suc( X ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f(
% 7.71/8.13 suc( X ) ) ) ) ] )
% 7.71/8.13 , 0, 4, substitution( 0, [ :=( X, X )] )).
% 7.71/8.13
% 7.71/8.13
% 7.71/8.13 factor(
% 7.71/8.13 clause( 36656, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ),
% 7.71/8.13 'E'( f( X ), f( suc( X ) ) ) ] )
% 7.71/8.13 , clause( 36655, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) )
% 7.71/8.13 , 'E'( f( X ), f( suc( X ) ) ), ~( 'E'( '0', f( X ) ) ) ] )
% 7.71/8.13 , 1, 3, substitution( 0, [ :=( X, X )] )).
% 7.71/8.13
% 7.71/8.13
% 7.71/8.13 subsumption(
% 7.71/8.13 clause( 336, [ ~( 'E'( '0', f( suc( X ) ) ) ), 'E'( f( X ), f( suc( X ) ) )
% 7.71/8.13 , ~( 'E'( '0', f( X ) ) ) ] )
% 7.71/8.13 , clause( 36656, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) )
% 7.71/8.13 , 'E'( f( X ), f( suc( X ) ) ) ] )
% 7.71/8.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 7.71/8.13 2 ), ==>( 2, 1 )] ) ).
% 7.71/8.13
% 7.71/8.13
% 7.71/8.13 resolution(
% 7.71/8.13 clause( 36657, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc(
% 7.71/8.13 X ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( iLEQ( suc( X ), suc( X ) ) ),
% 7.71/8.13 ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ) ] )
% 7.71/8.13 , clause( 194, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc(
% 7.71/8.13 X ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ),
% 7.71/8.13 ~( iLEQ( suc( X ), suc( X ) ) ) ] )
% 7.71/8.13 , 3, clause( 336, [ ~( 'E'( '0', f( suc( X ) ) ) ), 'E'( f( X ), f( suc( X
% 7.71/8.13 ) ) ), ~( 'E'( '0', f( X ) ) ) ] )
% 7.71/8.13 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 7.71/8.13 ).
% 7.71/8.13
% 7.71/8.13
% 7.71/8.13 factor(
% 7.71/8.13 clause( 36658, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc(
% 7.71/8.13 X ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( iLEQ( suc( X ), suc( X ) ) ),
% 7.71/8.13 ~( 'E'( '0', f( X ) ) ) ] )
% 7.71/8.13 , clause( 36657, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc(
% 7.71/8.13 X ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( iLEQ( suc( X ), suc( X ) ) ),
% 7.71/8.13 ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ) ] )
% 7.71/8.13 , 0, 4, substitution( 0, [ :=( X, X )] )).
% 7.77/8.13
% 7.77/8.13
% 7.77/8.13 factor(
% 7.77/8.13 clause( 36659, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc(
% 7.77/8.13 X ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( iLEQ( suc( X ), suc( X ) ) ) ]
% 7.77/8.13 )
% 7.77/8.13 , clause( 36658, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc(
% 7.77/8.13 X ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( iLEQ( suc( X ), suc( X ) ) ),
% 7.77/8.13 ~( 'E'( '0', f( X ) ) ) ] )
% 7.77/8.13 , 2, 4, substitution( 0, [ :=( X, X )] )).
% 7.77/8.13
% 7.77/8.13
% 7.77/8.13 subsumption(
% 7.77/8.13 clause( 340, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc( X
% 7.77/8.13 ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( iLEQ( suc( X ), suc( X ) ) ) ] )
% 7.77/8.13 , clause( 36659, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc(
% 7.77/8.13 X ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( iLEQ( suc( X ), suc( X ) ) ) ]
% 7.77/8.13 )
% 7.77/8.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 7.77/8.13 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 7.77/8.13
% 7.77/8.13
% 7.77/8.13 resolution(
% 7.77/8.13 clause( 36660, [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( suc(
% 7.77/8.13 X ) ) ) ), ~( 'E'( '0', f( X ) ) ), iLEQ( suc( X ), suc( X ) ), ~( 'E'(
% 7.77/8.13 '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ) ] )
% 7.77/8.13 , clause( 3, [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( suc(
% 7.77/8.13 X ) ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ),
% 7.77/8.13 iLEQ( suc( X ), suc( X ) ) ] )
% 7.77/8.13 , 2, clause( 336, [ ~( 'E'( '0', f( suc( X ) ) ) ), 'E'( f( X ), f( suc( X
% 7.77/8.13 ) ) ), ~( 'E'( '0', f( X ) ) ) ] )
% 7.77/8.13 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 7.77/8.13 ).
% 7.77/8.13
% 7.77/8.13
% 7.77/8.13 factor(
% 7.77/8.13 clause( 36661, [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( suc(
% 7.77/8.13 X ) ) ) ), ~( 'E'( '0', f( X ) ) ), iLEQ( suc( X ), suc( X ) ), ~( 'E'(
% 7.77/8.13 '0', f( X ) ) ) ] )
% 7.77/8.13 , clause( 36660, [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f(
% 7.77/8.13 suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ), iLEQ( suc( X ), suc( X ) ), ~(
% 7.77/8.13 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ) ] )
% 7.77/8.13 , 1, 4, substitution( 0, [ :=( X, X )] )).
% 7.77/8.13
% 7.77/8.13
% 7.77/8.13 factor(
% 7.77/8.13 clause( 36662, [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( suc(
% 7.77/8.13 X ) ) ) ), ~( 'E'( '0', f( X ) ) ), iLEQ( suc( X ), suc( X ) ) ] )
% 7.77/8.13 , clause( 36661, [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f(
% 7.77/8.13 suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ), iLEQ( suc( X ), suc( X ) ), ~(
% 7.77/8.13 'E'( '0', f( X ) ) ) ] )
% 7.77/8.13 , 2, 4, substitution( 0, [ :=( X, X )] )).
% 7.77/8.13
% 7.77/8.13
% 7.77/8.13 subsumption(
% 7.77/8.13 clause( 341, [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( suc(
% 7.77/8.13 X ) ) ) ), ~( 'E'( '0', f( X ) ) ), iLEQ( suc( X ), suc( X ) ) ] )
% 7.77/8.13 , clause( 36662, [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f(
% 7.77/8.13 suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ), iLEQ( suc( X ), suc( X ) ) ] )
% 7.77/8.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 7.77/8.13 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 7.77/8.13
% 7.77/8.13
% 7.77/8.13 resolution(
% 7.77/8.13 clause( 36663, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc(
% 7.77/8.13 X ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( suc( X ) ) ) )
% 7.77/8.13 ), ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ) ] )
% 7.77/8.13 , clause( 340, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc(
% 7.77/8.13 X ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( iLEQ( suc( X ), suc( X ) ) ) ]
% 7.77/8.13 )
% 7.77/8.13 , 3, clause( 341, [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f(
% 7.77/8.13 suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ), iLEQ( suc( X ), suc( X ) ) ] )
% 7.77/8.13 , 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 7.77/8.13 ).
% 7.77/8.13
% 7.77/8.13
% 7.77/8.13 factor(
% 7.77/8.13 clause( 36665, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc(
% 7.77/8.13 X ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), ~(
% 7.77/8.13 'E'( '0', f( X ) ) ) ] )
% 7.77/8.13 , clause( 36663, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc(
% 7.77/8.13 X ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( suc( X ) ) ) )
% 7.77/8.13 ), ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ) ] )
% 7.77/8.13 , 1, 3, substitution( 0, [ :=( X, X )] )).
% 7.77/8.13
% 7.77/8.13
% 7.77/8.13 factor(
% 7.77/8.13 clause( 36666, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc(
% 7.77/8.13 X ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( X ) ) ) ] )
% 7.77/8.13 , clause( 36665, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc(
% 7.77/8.13 X ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), ~(
% 7.77/8.13 'E'( '0', f( X ) ) ) ] )
% 7.77/8.13 , 0, 3, substitution( 0, [ :=( X, X )] )).
% 7.77/8.13
% 7.77/8.13
% 7.77/8.13 factor(
% 7.77/8.13 clause( 36667, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc(
% 7.77/8.13 X ) ) ) ) ), ~( 'E'( '0', f( X ) ) ) ] )
% 7.77/8.13 , clause( 36666, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc(
% 7.77/8.13 X ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( X ) ) ) ] )
% 7.77/8.13 , 2, 3, substitution( 0, [ :=( X, X )] )).
% 7.77/8.13
% 7.77/8.13
% 7.77/8.13 subsumption(
% 7.77/8.13 clause( 342, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~(
% 7.77/8.13 'E'( '0', f( suc( suc( X ) ) ) ) ) ] )
% 7.77/8.13 , clause( 36667, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc(
% 7.77/8.13 X ) ) ) ) ), ~( 'E'( '0', f( X ) ) ) ] )
% 7.77/8.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 7.77/8.13 2 ), ==>( 2, 1 )] ) ).
% 7.77/8.13
% 7.77/8.13
% 7.77/8.13 resolution(
% 7.77/8.13 clause( 36670, [ ~( 'E'( '0', f( suc( z ) ) ) ), ~( 'E'( '0', f( z ) ) ) ]
% 7.77/8.13 )
% 7.77/8.13 , clause( 342, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ),
% 7.77/8.13 ~( 'E'( '0', f( suc( suc( X ) ) ) ) ) ] )
% 7.77/8.13 , 2, clause( 335, [ 'E'( '0', f( suc( suc( z ) ) ) ) ] )
% 7.77/8.13 , 0, substitution( 0, [ :=( X, z )] ), substitution( 1, [] )).
% 7.77/8.13
% 7.77/8.13
% 7.77/8.13 resolution(
% 7.77/8.13 clause( 36672, [ ~( 'E'( '0', f( z ) ) ) ] )
% 7.77/8.13 , clause( 36670, [ ~( 'E'( '0', f( suc( z ) ) ) ), ~( 'E'( '0', f( z ) ) )
% 7.77/8.13 ] )
% 7.77/8.13 , 0, clause( 334, [ 'E'( '0', f( suc( z ) ) ) ] )
% 7.77/8.13 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 7.77/8.13
% 7.77/8.13
% 7.77/8.13 subsumption(
% 7.77/8.13 clause( 344, [ ~( 'E'( '0', f( z ) ) ) ] )
% 7.77/8.13 , clause( 36672, [ ~( 'E'( '0', f( z ) ) ) ] )
% 7.77/8.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 7.77/8.13
% 7.77/8.13
% 7.77/8.13 resolution(
% 7.77/8.13 clause( 36673, [] )
% 7.77/8.13 , clause( 344, [ ~( 'E'( '0', f( z ) ) ) ] )
% 7.77/8.13 , 0, clause( 333, [ 'E'( '0', f( z ) ) ] )
% 7.77/8.13 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 7.77/8.13
% 7.77/8.13
% 7.77/8.13 subsumption(
% 7.77/8.13 clause( 346, [] )
% 7.77/8.13 , clause( 36673, [] )
% 7.77/8.13 , substitution( 0, [] ), permutation( 0, [] ) ).
% 7.77/8.13
% 7.77/8.13
% 7.77/8.13 end.
% 7.77/8.13
% 7.77/8.13 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 7.77/8.13
% 7.77/8.13 Memory use:
% 7.77/8.13
% 7.77/8.13 space for terms: 37056
% 7.77/8.13 space for clauses: 15349
% 7.77/8.13
% 7.77/8.13
% 7.77/8.13 clauses generated: 9643
% 7.77/8.13 clauses kept: 347
% 7.77/8.13 clauses selected: 19
% 7.77/8.13 clauses deleted: 5
% 7.77/8.13 clauses inuse deleted: 0
% 7.77/8.13
% 7.77/8.13 subsentry: 5795529
% 7.77/8.13 literals s-matched: 1939734
% 7.77/8.13 literals matched: 846730
% 7.77/8.13 full subsumption: 846722
% 7.77/8.13
% 7.77/8.13 checksum: -2000017384
% 7.77/8.13
% 7.77/8.13
% 7.77/8.13 Bliksem ended
%------------------------------------------------------------------------------