TSTP Solution File: SYO655-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYO655-1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n015.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 14:29:10 EDT 2022
% Result : Unsatisfiable 22.92s 23.35s
% Output : Refutation 22.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYO655-1 : TPTP v8.1.0. Released v7.3.0.
% 0.11/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n015.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Sat Jul 9 09:11:37 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.78/1.20 *** allocated 10000 integers for termspace/termends
% 0.78/1.20 *** allocated 10000 integers for clauses
% 0.78/1.20 *** allocated 10000 integers for justifications
% 0.78/1.20 Bliksem 1.12
% 0.78/1.20
% 0.78/1.20
% 0.78/1.20 Automatic Strategy Selection
% 0.78/1.20
% 0.78/1.20 Clauses:
% 0.78/1.20 [
% 0.78/1.20 [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) )
% 0.78/1.20 , ~( iLEQ( suc( X ), suc( Y ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'(
% 0.78/1.20 '0', f( suc( T ) ) ) ), ~( iLEQ( suc( T ), suc( X ) ) ), ~( 'E'( '0', f(
% 0.78/1.20 Y ) ) ), ~( 'E'( '0', f( suc( suc( Y ) ) ) ) ), ~( 'E'( '0', f( Z ) ) ),
% 0.78/1.20 ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc( T ) ) ) ) )
% 0.78/1.20 , ~( iLEQ( suc( Y ), suc( U ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0',
% 0.78/1.20 f( T ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( f( Y ), f( suc( Y ) )
% 0.78/1.20 ) ), ~( 'E'( '0', f( U ) ) ), ~( 'E'( '0', f( suc( U ) ) ) ), ~( 'E'( f(
% 0.78/1.20 T ), f( suc( T ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) ), 'E'( f( Z ), f(
% 0.78/1.20 suc( Z ) ) ), 'E'( f( U ), f( suc( U ) ) ) ],
% 0.78/1.20 [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( X ) ) ), ~(
% 0.78/1.20 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ), ~( iLEQ( suc(
% 0.78/1.20 T ), suc( Y ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( suc( X )
% 0.78/1.20 ) ) ) ), ~( 'E'( '0', f( suc( suc( U ) ) ) ) ), ~( 'E'( '0', f( Z ) ) )
% 0.78/1.20 , ~( iLEQ( suc( X ), suc( U ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0',
% 0.78/1.20 f( T ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( f( X ), f( suc( X ) )
% 0.78/1.20 ) ), ~( 'E'( f( U ), f( suc( U ) ) ) ), ~( 'E'( '0', f( U ) ) ), ~( 'E'(
% 0.78/1.20 '0', f( suc( U ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) ), 'E'( f( Z ), f(
% 0.78/1.20 suc( Z ) ) ), 'E'( f( T ), f( suc( T ) ) ), 'E'( f( Y ), f( suc( Y ) ) )
% 0.78/1.20 ],
% 0.78/1.20 [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( X ) ) ), ~(
% 0.78/1.20 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ), ~( iLEQ( suc(
% 0.78/1.20 T ), suc( Y ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( suc( U )
% 0.78/1.20 ) ) ) ), ~( 'E'( '0', f( Z ) ) ), ~( iLEQ( suc( X ), suc( U ) ) ), ~(
% 0.78/1.20 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f( suc( Y ) )
% 0.78/1.20 ) ), ~( 'E'( f( U ), f( suc( U ) ) ) ), ~( 'E'( '0', f( U ) ) ), ~( 'E'(
% 0.78/1.20 '0', f( suc( U ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) ), 'E'( f( Z ), f(
% 0.78/1.20 suc( Z ) ) ), 'E'( f( T ), f( suc( T ) ) ), 'E'( f( Y ), f( suc( Y ) ) )
% 0.78/1.20 , 'E'( f( X ), f( suc( X ) ) ) ],
% 0.78/1.20 [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) )
% 0.78/1.20 , ~( iLEQ( suc( X ), suc( Y ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'(
% 0.78/1.20 '0', f( suc( T ) ) ) ), ~( iLEQ( suc( T ), suc( X ) ) ), ~( 'E'( '0', f(
% 0.78/1.20 Y ) ) ), ~( 'E'( '0', f( Z ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~(
% 0.78/1.20 iLEQ( suc( Y ), suc( U ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( T
% 0.78/1.20 ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( U ) ) ), ~( 'E'(
% 0.78/1.20 '0', f( suc( U ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) ), 'E'( f( Z ), f(
% 0.78/1.20 suc( Z ) ) ), 'E'( f( T ), f( suc( T ) ) ), 'E'( f( Y ), f( suc( Y ) ) )
% 0.78/1.20 , 'E'( f( U ), f( suc( U ) ) ) ],
% 0.78/1.20 [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( X ) ) ), ~(
% 0.78/1.20 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ), ~( iLEQ( suc(
% 0.78/1.20 T ), suc( Y ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( Z ) ) ), ~(
% 0.78/1.20 'E'( '0', f( suc( suc( T ) ) ) ) ), ~( iLEQ( suc( X ), suc( U ) ) ), ~(
% 0.78/1.20 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f( suc( Y ) )
% 0.78/1.20 ) ), ~( 'E'( '0', f( U ) ) ), ~( 'E'( '0', f( suc( U ) ) ) ), ~( 'E'( f(
% 0.78/1.20 T ), f( suc( T ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) ), 'E'( f( Z ), f(
% 0.78/1.20 suc( Z ) ) ), 'E'( f( Y ), f( suc( Y ) ) ), 'E'( f( X ), f( suc( X ) ) )
% 0.78/1.20 , 'E'( f( U ), f( suc( U ) ) ) ],
% 0.78/1.20 [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) )
% 0.78/1.20 , ~( iLEQ( suc( X ), suc( Y ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'(
% 0.78/1.20 '0', f( suc( suc( Z ) ) ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ), ~( iLEQ(
% 0.78/1.20 suc( T ), suc( X ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f( suc( suc(
% 0.78/1.20 U ) ) ) ) ), ~( 'E'( '0', f( Z ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ),
% 0.78/1.20 ~( iLEQ( suc( Y ), suc( U ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f(
% 0.78/1.20 T ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( f( Z ), f( suc( Z ) ) )
% 0.78/1.20 ), ~( 'E'( f( U ), f( suc( U ) ) ) ), ~( 'E'( '0', f( U ) ) ), ~( 'E'(
% 0.78/1.20 '0', f( suc( U ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) ), 'E'( f( T ), f(
% 0.78/1.20 suc( T ) ) ), 'E'( f( Y ), f( suc( Y ) ) ) ],
% 0.78/1.20 [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( X ) ) ), ~(
% 0.78/1.20 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'( '0', f( suc( suc( Z ) ) ) ) ), ~(
% 0.78/1.20 'E'( '0', f( suc( T ) ) ) ), ~( iLEQ( suc( T ), suc( Y ) ) ), ~( 'E'( '0'
% 0.78/1.20 , f( X ) ) ), ~( 'E'( '0', f( Z ) ) ), ~( 'E'( '0', f( suc( suc( T ) ) )
% 0.78/1.20 ) ), ~( iLEQ( suc( X ), suc( U ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'(
% 0.78/1.20 '0', f( T ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( f( Z ), f( suc(
% 0.78/1.20 Z ) ) ) ), ~( 'E'( '0', f( U ) ) ), ~( 'E'( '0', f( suc( U ) ) ) ), ~(
% 0.78/1.20 'E'( f( T ), f( suc( T ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) ), 'E'( f(
% 0.78/1.20 Y ), f( suc( Y ) ) ), 'E'( f( X ), f( suc( X ) ) ), 'E'( f( U ), f( suc(
% 0.78/1.20 U ) ) ) ],
% 0.78/1.20 [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) )
% 0.78/1.20 , ~( iLEQ( suc( X ), suc( Y ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'(
% 0.78/1.20 '0', f( suc( suc( Z ) ) ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ), ~( iLEQ(
% 0.78/1.20 suc( T ), suc( X ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f( Z ) ) )
% 0.78/1.20 , ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc( T ) ) ) )
% 0.78/1.20 ), ~( iLEQ( suc( Y ), suc( U ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0'
% 0.78/1.20 , f( T ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( f( Z ), f( suc( Z )
% 0.78/1.20 ) ) ), ~( 'E'( '0', f( U ) ) ), ~( 'E'( '0', f( suc( U ) ) ) ), ~( 'E'(
% 0.78/1.20 f( T ), f( suc( T ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) ), 'E'( f( Y ),
% 0.78/1.20 f( suc( Y ) ) ), 'E'( f( U ), f( suc( U ) ) ) ],
% 0.78/1.20 [ ~( 'LE'( f( suc( X ) ), s( '0' ) ) ), 'E'( '0', f( suc( X ) ) ), 'LE'(
% 0.78/1.20 f( X ), '0' ) ],
% 0.78/1.20 [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( X ) ) ), ~(
% 0.78/1.20 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ), ~( iLEQ( suc(
% 0.78/1.20 T ), suc( Y ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( suc( X )
% 0.78/1.20 ) ) ) ), ~( 'E'( '0', f( suc( suc( U ) ) ) ) ), ~( 'E'( '0', f( Z ) ) )
% 0.78/1.20 , ~( 'E'( '0', f( suc( suc( T ) ) ) ) ), ~( iLEQ( suc( X ), suc( U ) ) )
% 0.78/1.20 , ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f( suc(
% 0.78/1.20 Y ) ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( f( U ), f( suc( U )
% 0.78/1.20 ) ) ), ~( 'E'( '0', f( U ) ) ), ~( 'E'( '0', f( suc( U ) ) ) ), ~( 'E'(
% 0.78/1.20 f( T ), f( suc( T ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) ), 'E'( f( Z ),
% 0.78/1.20 f( suc( Z ) ) ), 'E'( f( Y ), f( suc( Y ) ) ) ],
% 0.78/1.20 [ ~( 'LE'( f( z ), '0' ) ) ],
% 0.78/1.20 [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) )
% 0.78/1.20 , ~( iLEQ( suc( X ), suc( Y ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'(
% 0.78/1.20 '0', f( suc( T ) ) ) ), ~( iLEQ( suc( T ), suc( X ) ) ), ~( 'E'( '0', f(
% 0.78/1.20 Y ) ) ), ~( 'E'( '0', f( suc( suc( U ) ) ) ) ), ~( 'E'( '0', f( Z ) ) ),
% 0.78/1.20 ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc( T ) ) ) ) )
% 0.78/1.20 , ~( iLEQ( suc( Y ), suc( U ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0',
% 0.78/1.20 f( T ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( f( U ), f( suc( U ) )
% 0.78/1.20 ) ), ~( 'E'( '0', f( U ) ) ), ~( 'E'( '0', f( suc( U ) ) ) ), ~( 'E'( f(
% 0.78/1.20 T ), f( suc( T ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) ), 'E'( f( Z ), f(
% 0.78/1.20 suc( Z ) ) ), 'E'( f( Y ), f( suc( Y ) ) ) ],
% 0.78/1.20 [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) )
% 0.78/1.20 , ~( iLEQ( suc( X ), suc( Y ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'(
% 0.78/1.20 '0', f( suc( T ) ) ) ), ~( iLEQ( suc( T ), suc( X ) ) ), ~( 'E'( '0', f(
% 0.78/1.20 Y ) ) ), ~( 'E'( '0', f( suc( suc( U ) ) ) ) ), ~( 'E'( '0', f( Z ) ) ),
% 0.78/1.20 ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( U ) ) ), ~(
% 0.78/1.20 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f( suc( X ) )
% 0.78/1.20 ) ), ~( 'E'( f( U ), f( suc( U ) ) ) ), ~( 'E'( '0', f( U ) ) ), ~( 'E'(
% 0.78/1.20 '0', f( suc( U ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) ), 'E'( f( Z ), f(
% 0.78/1.20 suc( Z ) ) ), 'E'( f( T ), f( suc( T ) ) ), 'E'( f( Y ), f( suc( Y ) ) )
% 0.78/1.20 ],
% 0.78/1.20 [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) )
% 0.78/1.20 , ~( iLEQ( suc( X ), suc( Y ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'(
% 0.78/1.20 '0', f( suc( T ) ) ) ), ~( iLEQ( suc( T ), suc( X ) ) ), ~( 'E'( '0', f(
% 0.78/1.20 Y ) ) ), ~( 'E'( '0', f( suc( suc( Y ) ) ) ) ), ~( 'E'( '0', f( Z ) ) ),
% 0.78/1.20 ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( U ) ) ), ~(
% 0.78/1.20 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f( suc( X ) )
% 0.78/1.20 ) ), ~( 'E'( f( Y ), f( suc( Y ) ) ) ), ~( 'E'( '0', f( U ) ) ), ~( 'E'(
% 0.78/1.20 '0', f( suc( U ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) ), 'E'( f( Z ), f(
% 0.78/1.20 suc( Z ) ) ), 'E'( f( T ), f( suc( T ) ) ), 'E'( f( U ), f( suc( U ) ) )
% 0.78/1.20 ],
% 0.78/1.20 [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) )
% 0.78/1.20 , ~( iLEQ( suc( X ), suc( Y ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'(
% 0.78/1.20 '0', f( suc( suc( Z ) ) ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ), ~( iLEQ(
% 0.78/1.20 suc( T ), suc( X ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f( suc( suc(
% 0.78/1.20 Y ) ) ) ) ), ~( 'E'( '0', f( suc( suc( U ) ) ) ) ), ~( 'E'( '0', f( Z ) )
% 0.78/1.20 ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc( T ) ) )
% 0.78/1.20 ) ), ~( iLEQ( suc( Y ), suc( U ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'(
% 0.78/1.20 '0', f( T ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( f( Z ), f( suc(
% 0.78/1.20 Z ) ) ) ), ~( 'E'( f( Y ), f( suc( Y ) ) ) ), ~( 'E'( f( U ), f( suc( U )
% 0.78/1.20 ) ) ), ~( 'E'( '0', f( U ) ) ), ~( 'E'( '0', f( suc( U ) ) ) ), ~( 'E'(
% 0.78/1.20 f( T ), f( suc( T ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) ) ],
% 0.78/1.20 [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( X ) ) ), ~(
% 0.78/1.20 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ), ~( iLEQ( suc(
% 0.78/1.20 T ), suc( Y ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( Z ) ) ), ~(
% 0.78/1.20 iLEQ( suc( X ), suc( U ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f( T
% 0.78/1.20 ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( '0', f( U ) ) ), ~( 'E'(
% 0.78/1.20 '0', f( suc( U ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) ), 'E'( f( Y ), f(
% 0.78/1.20 suc( Y ) ) ), 'E'( f( Z ), f( suc( Z ) ) ), 'E'( f( X ), f( suc( X ) ) )
% 0.78/1.20 , 'E'( f( U ), f( suc( U ) ) ), 'E'( f( T ), f( suc( T ) ) ) ],
% 0.78/1.20 [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) )
% 0.78/1.20 , ~( iLEQ( suc( X ), suc( Y ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'(
% 0.78/1.20 '0', f( suc( suc( Z ) ) ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ), ~( iLEQ(
% 0.78/1.20 suc( T ), suc( X ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f( suc( suc(
% 0.78/1.20 Y ) ) ) ) ), ~( 'E'( '0', f( Z ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ),
% 0.78/1.20 ~( 'E'( '0', f( suc( suc( T ) ) ) ) ), ~( iLEQ( suc( Y ), suc( U ) ) ),
% 0.78/1.20 ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f( suc( X
% 0.78/1.20 ) ) ) ), ~( 'E'( f( Z ), f( suc( Z ) ) ) ), ~( 'E'( f( Y ), f( suc( Y )
% 0.78/1.20 ) ) ), ~( 'E'( '0', f( U ) ) ), ~( 'E'( '0', f( suc( U ) ) ) ), ~( 'E'(
% 0.78/1.20 f( T ), f( suc( T ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) ), 'E'( f( U ),
% 0.78/1.20 f( suc( U ) ) ) ],
% 0.78/1.20 [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( X ) ) ), ~(
% 0.78/1.20 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'( '0', f( suc( suc( Z ) ) ) ) ), ~(
% 0.78/1.20 'E'( '0', f( suc( T ) ) ) ), ~( iLEQ( suc( T ), suc( Y ) ) ), ~( 'E'( '0'
% 0.78/1.20 , f( X ) ) ), ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( suc(
% 0.78/1.20 suc( U ) ) ) ) ), ~( 'E'( '0', f( Z ) ) ), ~( iLEQ( suc( X ), suc( U ) )
% 0.78/1.20 ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f( suc(
% 0.78/1.20 Y ) ) ) ), ~( 'E'( f( Z ), f( suc( Z ) ) ) ), ~( 'E'( f( X ), f( suc( X )
% 0.78/1.20 ) ) ), ~( 'E'( f( U ), f( suc( U ) ) ) ), ~( 'E'( '0', f( U ) ) ), ~(
% 0.78/1.20 'E'( '0', f( suc( U ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) ), 'E'( f( T )
% 0.78/1.20 , f( suc( T ) ) ), 'E'( f( Y ), f( suc( Y ) ) ) ],
% 0.78/1.20 [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( X ) ) ), ~(
% 0.78/1.20 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'( '0', f( suc( suc( Z ) ) ) ) ), ~(
% 0.78/1.20 'E'( '0', f( suc( T ) ) ) ), ~( iLEQ( suc( T ), suc( Y ) ) ), ~( 'E'( '0'
% 0.78/1.20 , f( X ) ) ), ~( 'E'( '0', f( suc( suc( U ) ) ) ) ), ~( 'E'( '0', f( Z )
% 0.78/1.20 ) ), ~( 'E'( '0', f( suc( suc( T ) ) ) ) ), ~( iLEQ( suc( X ), suc( U )
% 0.78/1.20 ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f(
% 0.78/1.20 suc( Y ) ) ) ), ~( 'E'( f( Z ), f( suc( Z ) ) ) ), ~( 'E'( f( U ), f( suc(
% 0.78/1.20 U ) ) ) ), ~( 'E'( '0', f( U ) ) ), ~( 'E'( '0', f( suc( U ) ) ) ), ~(
% 0.78/1.20 'E'( f( T ), f( suc( T ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) ), 'E'( f(
% 0.78/1.20 Y ), f( suc( Y ) ) ), 'E'( f( X ), f( suc( X ) ) ) ],
% 0.78/1.20 [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( X ) ) ), ~(
% 0.78/1.20 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ), ~( iLEQ( suc(
% 0.78/1.20 T ), suc( Y ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( suc( X )
% 0.78/1.20 ) ) ) ), ~( 'E'( '0', f( Z ) ) ), ~( iLEQ( suc( X ), suc( U ) ) ), ~(
% 0.78/1.20 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f( suc( Y ) )
% 0.78/1.20 ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( '0', f( U ) ) ), ~( 'E'(
% 0.78/1.20 '0', f( suc( U ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) ), 'E'( f( Z ), f(
% 0.78/1.20 suc( Z ) ) ), 'E'( f( T ), f( suc( T ) ) ), 'E'( f( Y ), f( suc( Y ) ) )
% 0.78/1.20 , 'E'( f( U ), f( suc( U ) ) ) ],
% 0.78/1.20 [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) )
% 0.78/1.20 , ~( iLEQ( suc( X ), suc( Y ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'(
% 0.78/1.20 '0', f( suc( T ) ) ) ), ~( iLEQ( suc( T ), suc( X ) ) ), ~( 'E'( '0', f(
% 0.78/1.20 Y ) ) ), ~( 'E'( '0', f( Z ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~(
% 0.78/1.20 'E'( '0', f( suc( suc( T ) ) ) ) ), ~( iLEQ( suc( Y ), suc( U ) ) ), ~(
% 0.78/1.20 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f( suc( X ) )
% 0.78/1.20 ) ), ~( 'E'( '0', f( U ) ) ), ~( 'E'( '0', f( suc( U ) ) ) ), ~( 'E'( f(
% 0.78/1.20 T ), f( suc( T ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) ), 'E'( f( Z ), f(
% 0.78/1.20 suc( Z ) ) ), 'E'( f( Y ), f( suc( Y ) ) ), 'E'( f( U ), f( suc( U ) ) )
% 0.78/1.20 ],
% 0.78/1.20 [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( suc( X ) ) ) )
% 0.78/1.20 , ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ), iLEQ( suc(
% 0.78/1.20 X ), suc( X ) ) ],
% 0.78/1.20 [ ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), 'E'( f( X ),
% 0.78/1.20 f( suc( X ) ) ), iLEQ( suc( X ), suc( X ) ) ],
% 0.78/1.20 [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( X ) ) ), ~(
% 0.78/1.20 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'( '0', f( suc( suc( Z ) ) ) ) ), ~(
% 0.78/1.20 'E'( '0', f( suc( T ) ) ) ), ~( iLEQ( suc( T ), suc( Y ) ) ), ~( 'E'( '0'
% 0.78/1.20 , f( X ) ) ), ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( Z )
% 0.78/1.20 ) ), ~( iLEQ( suc( X ), suc( U ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'(
% 0.78/1.20 '0', f( T ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( f( Z ), f( suc(
% 0.78/1.20 Z ) ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( '0', f( U ) ) ),
% 0.78/1.20 ~( 'E'( '0', f( suc( U ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) ), 'E'( f(
% 0.78/1.20 T ), f( suc( T ) ) ), 'E'( f( Y ), f( suc( Y ) ) ), 'E'( f( U ), f( suc(
% 0.78/1.20 U ) ) ) ],
% 0.78/1.20 [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) )
% 0.78/1.20 , ~( iLEQ( suc( X ), suc( Y ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'(
% 0.78/1.20 '0', f( suc( suc( Z ) ) ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ), ~( iLEQ(
% 0.78/1.20 suc( T ), suc( X ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f( suc( suc(
% 0.78/1.20 U ) ) ) ) ), ~( 'E'( '0', f( Z ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ),
% 0.78/1.20 ~( 'E'( '0', f( suc( suc( T ) ) ) ) ), ~( iLEQ( suc( Y ), suc( U ) ) ),
% 0.78/1.20 ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f( suc( X
% 0.78/1.20 ) ) ) ), ~( 'E'( f( Z ), f( suc( Z ) ) ) ), ~( 'E'( f( U ), f( suc( U )
% 0.78/1.20 ) ) ), ~( 'E'( '0', f( U ) ) ), ~( 'E'( '0', f( suc( U ) ) ) ), ~( 'E'(
% 0.78/1.20 f( T ), f( suc( T ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) ), 'E'( f( Y ),
% 0.78/1.20 f( suc( Y ) ) ) ],
% 0.78/1.20 [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) )
% 0.78/1.20 , ~( iLEQ( suc( X ), suc( Y ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'(
% 0.78/1.20 '0', f( suc( suc( Z ) ) ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ), ~( iLEQ(
% 0.78/1.20 suc( T ), suc( X ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f( Z ) ) )
% 0.78/1.20 , ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( U ) ) ), ~(
% 0.78/1.20 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f( suc( X ) )
% 0.78/1.20 ) ), ~( 'E'( f( Z ), f( suc( Z ) ) ) ), ~( 'E'( '0', f( U ) ) ), ~( 'E'(
% 0.78/1.20 '0', f( suc( U ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) ), 'E'( f( T ), f(
% 0.78/1.20 suc( T ) ) ), 'E'( f( Y ), f( suc( Y ) ) ), 'E'( f( U ), f( suc( U ) ) )
% 0.78/1.20 ],
% 0.78/1.20 [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( X ) ) ), ~(
% 0.78/1.20 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'( '0', f( suc( suc( Z ) ) ) ) ), ~(
% 0.78/1.20 'E'( '0', f( suc( T ) ) ) ), ~( iLEQ( suc( T ), suc( Y ) ) ), ~( 'E'( '0'
% 0.78/1.20 , f( X ) ) ), ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( Z )
% 0.83/1.21 ) ), ~( 'E'( '0', f( suc( suc( T ) ) ) ) ), ~( iLEQ( suc( X ), suc( U )
% 0.83/1.21 ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f(
% 0.83/1.21 suc( Y ) ) ) ), ~( 'E'( f( Z ), f( suc( Z ) ) ) ), ~( 'E'( f( X ), f( suc(
% 0.83/1.21 X ) ) ) ), ~( 'E'( '0', f( U ) ) ), ~( 'E'( '0', f( suc( U ) ) ) ), ~(
% 0.83/1.21 'E'( f( T ), f( suc( T ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) ), 'E'( f(
% 0.83/1.21 Y ), f( suc( Y ) ) ), 'E'( f( U ), f( suc( U ) ) ) ],
% 0.83/1.21 [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( X ) ) ), ~(
% 0.83/1.21 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ), ~( iLEQ( suc(
% 0.83/1.21 T ), suc( Y ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( suc( U )
% 0.83/1.21 ) ) ) ), ~( 'E'( '0', f( Z ) ) ), ~( 'E'( '0', f( suc( suc( T ) ) ) ) )
% 0.83/1.21 , ~( iLEQ( suc( X ), suc( U ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0',
% 0.83/1.21 f( T ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( f( U ), f( suc( U ) )
% 0.83/1.21 ) ), ~( 'E'( '0', f( U ) ) ), ~( 'E'( '0', f( suc( U ) ) ) ), ~( 'E'( f(
% 0.83/1.21 T ), f( suc( T ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) ), 'E'( f( Z ), f(
% 0.83/1.21 suc( Z ) ) ), 'E'( f( Y ), f( suc( Y ) ) ), 'E'( f( X ), f( suc( X ) ) )
% 0.83/1.21 ],
% 0.83/1.21 [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( X ) ) ), ~(
% 0.83/1.21 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'( '0', f( suc( suc( Z ) ) ) ) ), ~(
% 0.83/1.21 'E'( '0', f( suc( T ) ) ) ), ~( iLEQ( suc( T ), suc( Y ) ) ), ~( 'E'( '0'
% 0.83/1.21 , f( X ) ) ), ~( 'E'( '0', f( Z ) ) ), ~( iLEQ( suc( X ), suc( U ) ) ),
% 0.83/1.21 ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f( suc( Y
% 0.83/1.21 ) ) ) ), ~( 'E'( f( Z ), f( suc( Z ) ) ) ), ~( 'E'( '0', f( U ) ) ), ~(
% 0.83/1.21 'E'( '0', f( suc( U ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) ), 'E'( f( T )
% 0.83/1.21 , f( suc( T ) ) ), 'E'( f( Y ), f( suc( Y ) ) ), 'E'( f( X ), f( suc( X )
% 0.83/1.21 ) ), 'E'( f( U ), f( suc( U ) ) ) ],
% 0.83/1.21 [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) )
% 0.83/1.21 , ~( iLEQ( suc( X ), suc( Y ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'(
% 0.83/1.21 '0', f( suc( suc( Z ) ) ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ), ~( iLEQ(
% 0.83/1.21 suc( T ), suc( X ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f( suc( suc(
% 0.83/1.21 Y ) ) ) ) ), ~( 'E'( '0', f( Z ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ),
% 0.83/1.21 ~( iLEQ( suc( Y ), suc( U ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f(
% 0.83/1.21 T ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( f( Z ), f( suc( Z ) ) )
% 0.83/1.21 ), ~( 'E'( f( Y ), f( suc( Y ) ) ) ), ~( 'E'( '0', f( U ) ) ), ~( 'E'(
% 0.83/1.21 '0', f( suc( U ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) ), 'E'( f( T ), f(
% 0.83/1.21 suc( T ) ) ), 'E'( f( U ), f( suc( U ) ) ) ],
% 0.83/1.21 [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( X ) ) ), ~(
% 0.83/1.21 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'( '0', f( suc( suc( Z ) ) ) ) ), ~(
% 0.83/1.21 'E'( '0', f( suc( T ) ) ) ), ~( iLEQ( suc( T ), suc( Y ) ) ), ~( 'E'( '0'
% 0.83/1.21 , f( X ) ) ), ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( suc(
% 0.83/1.21 suc( U ) ) ) ) ), ~( 'E'( '0', f( Z ) ) ), ~( 'E'( '0', f( suc( suc( T )
% 0.83/1.21 ) ) ) ), ~( iLEQ( suc( X ), suc( U ) ) ), ~( 'E'( '0', f( Y ) ) ), ~(
% 0.83/1.21 'E'( '0', f( T ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( f( Z ), f(
% 0.83/1.21 suc( Z ) ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( f( U ), f( suc(
% 0.83/1.21 U ) ) ) ), ~( 'E'( '0', f( U ) ) ), ~( 'E'( '0', f( suc( U ) ) ) ), ~(
% 0.83/1.21 'E'( f( T ), f( suc( T ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) ), 'E'( f(
% 0.83/1.21 Y ), f( suc( Y ) ) ) ],
% 0.83/1.21 [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( X ) ) ), ~(
% 0.83/1.21 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ), ~( iLEQ( suc(
% 0.83/1.21 T ), suc( Y ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( suc( X )
% 0.83/1.21 ) ) ) ), ~( 'E'( '0', f( Z ) ) ), ~( 'E'( '0', f( suc( suc( T ) ) ) ) )
% 0.83/1.21 , ~( iLEQ( suc( X ), suc( U ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0',
% 0.83/1.21 f( T ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( f( X ), f( suc( X ) )
% 0.83/1.21 ) ), ~( 'E'( '0', f( U ) ) ), ~( 'E'( '0', f( suc( U ) ) ) ), ~( 'E'( f(
% 0.83/1.21 T ), f( suc( T ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) ), 'E'( f( Z ), f(
% 0.83/1.21 suc( Z ) ) ), 'E'( f( Y ), f( suc( Y ) ) ), 'E'( f( U ), f( suc( U ) ) )
% 0.83/1.21 ],
% 0.83/1.21 [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) )
% 0.83/1.21 , ~( iLEQ( suc( X ), suc( Y ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'(
% 22.92/23.35 '0', f( suc( T ) ) ) ), ~( iLEQ( suc( T ), suc( X ) ) ), ~( 'E'( '0', f(
% 22.92/23.35 Y ) ) ), ~( 'E'( '0', f( suc( suc( Y ) ) ) ) ), ~( 'E'( '0', f( suc( suc(
% 22.92/23.35 U ) ) ) ) ), ~( 'E'( '0', f( Z ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ),
% 22.92/23.35 ~( 'E'( '0', f( suc( suc( T ) ) ) ) ), ~( iLEQ( suc( Y ), suc( U ) ) ),
% 22.92/23.35 ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f( suc( X
% 22.92/23.35 ) ) ) ), ~( 'E'( f( Y ), f( suc( Y ) ) ) ), ~( 'E'( f( U ), f( suc( U )
% 22.92/23.35 ) ) ), ~( 'E'( '0', f( U ) ) ), ~( 'E'( '0', f( suc( U ) ) ) ), ~( 'E'(
% 22.92/23.35 f( T ), f( suc( T ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) ), 'E'( f( Z ),
% 22.92/23.35 f( suc( Z ) ) ) ],
% 22.92/23.35 [ ~( 'LE'( f( suc( suc( X ) ) ), s( '0' ) ) ), 'E'( '0', f( suc( suc( X
% 22.92/23.35 ) ) ) ), 'LE'( f( X ), '0' ) ],
% 22.92/23.35 [ 'LE'( f( X ), s( '0' ) ) ],
% 22.92/23.35 [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) )
% 22.92/23.35 , ~( iLEQ( suc( X ), suc( Y ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'(
% 22.92/23.35 '0', f( suc( T ) ) ) ), ~( iLEQ( suc( T ), suc( X ) ) ), ~( 'E'( '0', f(
% 22.92/23.35 Y ) ) ), ~( 'E'( '0', f( suc( suc( Y ) ) ) ) ), ~( 'E'( '0', f( suc( suc(
% 22.92/23.35 U ) ) ) ) ), ~( 'E'( '0', f( Z ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ),
% 22.92/23.35 ~( iLEQ( suc( Y ), suc( U ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f(
% 22.92/23.35 T ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( f( Y ), f( suc( Y ) ) )
% 22.92/23.35 ), ~( 'E'( f( U ), f( suc( U ) ) ) ), ~( 'E'( '0', f( U ) ) ), ~( 'E'(
% 22.92/23.35 '0', f( suc( U ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) ), 'E'( f( Z ), f(
% 22.92/23.35 suc( Z ) ) ), 'E'( f( T ), f( suc( T ) ) ) ],
% 22.92/23.35 [ ~( 'LE'( f( X ), s( '0' ) ) ), 'E'( '0', f( X ) ), 'LE'( f( X ), '0' )
% 22.92/23.35 ],
% 22.92/23.35 [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( X ) ) ), ~(
% 22.92/23.35 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'( '0', f( suc( suc( Z ) ) ) ) ), ~(
% 22.92/23.35 'E'( '0', f( suc( T ) ) ) ), ~( iLEQ( suc( T ), suc( Y ) ) ), ~( 'E'( '0'
% 22.92/23.35 , f( X ) ) ), ~( 'E'( '0', f( suc( suc( U ) ) ) ) ), ~( 'E'( '0', f( Z )
% 22.92/23.35 ) ), ~( iLEQ( suc( X ), suc( U ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'(
% 22.92/23.35 '0', f( T ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( f( Z ), f( suc(
% 22.92/23.35 Z ) ) ) ), ~( 'E'( f( U ), f( suc( U ) ) ) ), ~( 'E'( '0', f( U ) ) ),
% 22.92/23.35 ~( 'E'( '0', f( suc( U ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) ), 'E'( f(
% 22.92/23.35 T ), f( suc( T ) ) ), 'E'( f( Y ), f( suc( Y ) ) ), 'E'( f( X ), f( suc(
% 22.92/23.35 X ) ) ) ],
% 22.92/23.35 [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) )
% 22.92/23.35 , ~( iLEQ( suc( X ), suc( Y ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'(
% 22.92/23.35 '0', f( suc( suc( Z ) ) ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ), ~( iLEQ(
% 22.92/23.35 suc( T ), suc( X ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f( suc( suc(
% 22.92/23.35 Y ) ) ) ) ), ~( 'E'( '0', f( suc( suc( U ) ) ) ) ), ~( 'E'( '0', f( Z ) )
% 22.92/23.35 ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( U ) ) ),
% 22.92/23.35 ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f( suc( X
% 22.92/23.35 ) ) ) ), ~( 'E'( f( Z ), f( suc( Z ) ) ) ), ~( 'E'( f( Y ), f( suc( Y )
% 22.92/23.35 ) ) ), ~( 'E'( f( U ), f( suc( U ) ) ) ), ~( 'E'( '0', f( U ) ) ), ~(
% 22.92/23.35 'E'( '0', f( suc( U ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) ), 'E'( f( T )
% 22.92/23.35 , f( suc( T ) ) ) ]
% 22.92/23.35 ] .
% 22.92/23.35
% 22.92/23.35
% 22.92/23.35 percentage equality = 0.000000, percentage horn = 0.230769
% 22.92/23.35 This a non-horn, non-equality problem
% 22.92/23.35
% 22.92/23.35
% 22.92/23.35 Options Used:
% 22.92/23.35
% 22.92/23.35 useres = 1
% 22.92/23.35 useparamod = 0
% 22.92/23.35 useeqrefl = 0
% 22.92/23.35 useeqfact = 0
% 22.92/23.35 usefactor = 1
% 22.92/23.35 usesimpsplitting = 0
% 22.92/23.35 usesimpdemod = 0
% 22.92/23.35 usesimpres = 3
% 22.92/23.35
% 22.92/23.35 resimpinuse = 1000
% 22.92/23.35 resimpclauses = 20000
% 22.92/23.35 substype = standard
% 22.92/23.35 backwardsubs = 1
% 22.92/23.35 selectoldest = 5
% 22.92/23.35
% 22.92/23.35 litorderings [0] = split
% 22.92/23.35 litorderings [1] = liftord
% 22.92/23.35
% 22.92/23.35 termordering = none
% 22.92/23.35
% 22.92/23.35 litapriori = 1
% 22.92/23.35 termapriori = 0
% 22.92/23.35 litaposteriori = 0
% 22.92/23.35 termaposteriori = 0
% 22.92/23.35 demodaposteriori = 0
% 22.92/23.35 ordereqreflfact = 0
% 22.92/23.35
% 22.92/23.35 litselect = none
% 22.92/23.35
% 22.92/23.35 maxweight = 15
% 22.92/23.35 maxdepth = 30000
% 22.92/23.35 maxlength = 115
% 22.92/23.35 maxnrvars = 195
% 22.92/23.35 excuselevel = 1
% 22.92/23.35 increasemaxweight = 1
% 22.92/23.35
% 22.92/23.35 maxselected = 10000000
% 22.92/23.35 maxnrclauses = 10000000
% 22.92/23.35
% 22.92/23.35 showgenerated = 0
% 22.92/23.35 showkept = 0
% 22.92/23.35 showselected = 0
% 22.92/23.35 showdeleted = 0
% 22.92/23.35 showresimp = 1
% 22.92/23.35 showstatus = 2000
% 22.92/23.35
% 22.92/23.35 prologoutput = 1
% 22.92/23.35 nrgoals = 5000000
% 22.92/23.35 totalproof = 1
% 22.92/23.35
% 22.92/23.35 Symbols occurring in the translation:
% 22.92/23.35
% 22.92/23.35 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 22.92/23.35 . [1, 2] (w:1, o:26, a:1, s:1, b:0),
% 22.92/23.35 ! [4, 1] (w:0, o:18, a:1, s:1, b:0),
% 22.92/23.35 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 22.92/23.35 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 22.92/23.35 '0' [39, 0] (w:1, o:6, a:1, s:1, b:0),
% 22.92/23.35 suc [41, 1] (w:1, o:23, a:1, s:1, b:0),
% 22.92/23.35 f [42, 1] (w:1, o:24, a:1, s:1, b:0),
% 22.92/23.35 'E' [43, 2] (w:1, o:51, a:1, s:1, b:0),
% 22.92/23.35 iLEQ [45, 2] (w:1, o:52, a:1, s:1, b:0),
% 22.92/23.35 s [50, 1] (w:1, o:25, a:1, s:1, b:0),
% 22.92/23.35 'LE' [51, 2] (w:1, o:53, a:1, s:1, b:0),
% 22.92/23.35 z [52, 0] (w:1, o:17, a:1, s:1, b:0).
% 22.92/23.35
% 22.92/23.35
% 22.92/23.35 Starting Search:
% 22.92/23.35
% 22.92/23.35 Resimplifying inuse:
% 22.92/23.35 Done
% 22.92/23.35
% 22.92/23.35 Resimplifying inuse:
% 22.92/23.35 Done
% 22.92/23.35
% 22.92/23.35 Failed to find proof!
% 22.92/23.35 maxweight = 15
% 22.92/23.35 maxnrclauses = 10000000
% 22.92/23.35 Generated: 59818
% 22.92/23.35 Kept: 1077
% 22.92/23.35
% 22.92/23.35
% 22.92/23.35 The strategy used was not complete!
% 22.92/23.35
% 22.92/23.35 Increased maxweight to 16
% 22.92/23.35
% 22.92/23.35 Starting Search:
% 22.92/23.35
% 22.92/23.35 Resimplifying inuse:
% 22.92/23.35 Done
% 22.92/23.35
% 22.92/23.35 Resimplifying inuse:
% 22.92/23.35 Done
% 22.92/23.35
% 22.92/23.35 Failed to find proof!
% 22.92/23.35 maxweight = 16
% 22.92/23.35 maxnrclauses = 10000000
% 22.92/23.35 Generated: 59818
% 22.92/23.35 Kept: 1077
% 22.92/23.35
% 22.92/23.35
% 22.92/23.35 The strategy used was not complete!
% 22.92/23.35
% 22.92/23.35 Increased maxweight to 17
% 22.92/23.35
% 22.92/23.35 Starting Search:
% 22.92/23.35
% 22.92/23.35 Resimplifying inuse:
% 22.92/23.35 Done
% 22.92/23.35
% 22.92/23.35 Resimplifying inuse:
% 22.92/23.35 Done
% 22.92/23.35
% 22.92/23.35 Failed to find proof!
% 22.92/23.35 maxweight = 17
% 22.92/23.35 maxnrclauses = 10000000
% 22.92/23.35 Generated: 59818
% 22.92/23.35 Kept: 1077
% 22.92/23.35
% 22.92/23.35
% 22.92/23.35 The strategy used was not complete!
% 22.92/23.35
% 22.92/23.35 Increased maxweight to 18
% 22.92/23.35
% 22.92/23.35 Starting Search:
% 22.92/23.35
% 22.92/23.35 Resimplifying inuse:
% 22.92/23.35 Done
% 22.92/23.35
% 22.92/23.35 Resimplifying inuse:
% 22.92/23.35 Done
% 22.92/23.35
% 22.92/23.35 Failed to find proof!
% 22.92/23.35 maxweight = 18
% 22.92/23.35 maxnrclauses = 10000000
% 22.92/23.35 Generated: 59818
% 22.92/23.35 Kept: 1077
% 22.92/23.35
% 22.92/23.35
% 22.92/23.35 The strategy used was not complete!
% 22.92/23.35
% 22.92/23.35 Increased maxweight to 19
% 22.92/23.35
% 22.92/23.35 Starting Search:
% 22.92/23.35
% 22.92/23.35 Resimplifying inuse:
% 22.92/23.35 Done
% 22.92/23.35
% 22.92/23.35 Resimplifying inuse:
% 22.92/23.35 Done
% 22.92/23.35
% 22.92/23.35 Failed to find proof!
% 22.92/23.35 maxweight = 19
% 22.92/23.35 maxnrclauses = 10000000
% 22.92/23.35 Generated: 59818
% 22.92/23.35 Kept: 1077
% 22.92/23.35
% 22.92/23.35
% 22.92/23.35 The strategy used was not complete!
% 22.92/23.35
% 22.92/23.35 Increased maxweight to 20
% 22.92/23.35
% 22.92/23.35 Starting Search:
% 22.92/23.35
% 22.92/23.35 Resimplifying inuse:
% 22.92/23.35 Done
% 22.92/23.35
% 22.92/23.35 Resimplifying inuse:
% 22.92/23.35 Done
% 22.92/23.35
% 22.92/23.35 Failed to find proof!
% 22.92/23.35 maxweight = 20
% 22.92/23.35 maxnrclauses = 10000000
% 22.92/23.35 Generated: 58945
% 22.92/23.35 Kept: 1072
% 22.92/23.35
% 22.92/23.35
% 22.92/23.35 The strategy used was not complete!
% 22.92/23.35
% 22.92/23.35 Increased maxweight to 21
% 22.92/23.35
% 22.92/23.35 Starting Search:
% 22.92/23.35
% 22.92/23.35 Resimplifying inuse:
% 22.92/23.35 Done
% 22.92/23.35
% 22.92/23.35 Resimplifying inuse:
% 22.92/23.35 Done
% 22.92/23.35
% 22.92/23.35 Failed to find proof!
% 22.92/23.35 maxweight = 21
% 22.92/23.35 maxnrclauses = 10000000
% 22.92/23.35 Generated: 58945
% 22.92/23.35 Kept: 1072
% 22.92/23.35
% 22.92/23.35
% 22.92/23.35 The strategy used was not complete!
% 22.92/23.35
% 22.92/23.35 Increased maxweight to 22
% 22.92/23.35
% 22.92/23.35 Starting Search:
% 22.92/23.35
% 22.92/23.35 Resimplifying inuse:
% 22.92/23.35 Done
% 22.92/23.35
% 22.92/23.35 Resimplifying inuse:
% 22.92/23.35 Done
% 22.92/23.35
% 22.92/23.35 Failed to find proof!
% 22.92/23.35 maxweight = 22
% 22.92/23.35 maxnrclauses = 10000000
% 22.92/23.35 Generated: 58945
% 22.92/23.35 Kept: 1072
% 22.92/23.35
% 22.92/23.35
% 22.92/23.35 The strategy used was not complete!
% 22.92/23.35
% 22.92/23.35 Increased maxweight to 23
% 22.92/23.35
% 22.92/23.35 Starting Search:
% 22.92/23.35
% 22.92/23.35 Resimplifying inuse:
% 22.92/23.35 Done
% 22.92/23.35
% 22.92/23.35 Resimplifying inuse:
% 22.92/23.35 Done
% 22.92/23.35
% 22.92/23.35 Failed to find proof!
% 22.92/23.35 maxweight = 23
% 22.92/23.35 maxnrclauses = 10000000
% 22.92/23.35 Generated: 58945
% 22.92/23.35 Kept: 1072
% 22.92/23.35
% 22.92/23.35
% 22.92/23.35 The strategy used was not complete!
% 22.92/23.35
% 22.92/23.35 Increased maxweight to 24
% 22.92/23.35
% 22.92/23.35 Starting Search:
% 22.92/23.35
% 22.92/23.35 Resimplifying inuse:
% 22.92/23.35 Done
% 22.92/23.35
% 22.92/23.35 Resimplifying inuse:
% 22.92/23.35 Done
% 22.92/23.35
% 22.92/23.35 Failed to find proof!
% 22.92/23.35 maxweight = 24
% 22.92/23.35 maxnrclauses = 10000000
% 22.92/23.35 Generated: 58945
% 22.92/23.35 Kept: 1072
% 22.92/23.35
% 22.92/23.35
% 22.92/23.35 The strategy used was not complete!
% 22.92/23.35
% 22.92/23.35 Increased maxweight to 25
% 22.92/23.35
% 22.92/23.35 Starting Search:
% 22.92/23.35
% 22.92/23.35 Resimplifying inuse:
% 22.92/23.35 Done
% 22.92/23.35
% 22.92/23.35 Resimplifying inuse:
% 22.92/23.35 Done
% 22.92/23.35
% 22.92/23.35 Failed to find proof!
% 22.92/23.35 maxweight = 25
% 22.92/23.35 maxnrclauses = 10000000
% 22.92/23.35 Generated: 58945
% 22.92/23.35 Kept: 1072
% 22.92/23.35
% 22.92/23.35
% 22.92/23.35 The strategy used was not complete!
% 22.92/23.35
% 22.92/23.35 Increased maxweight to 26
% 22.92/23.35
% 22.92/23.35 Starting Search:
% 22.92/23.35
% 22.92/23.35 Resimplifying inuse:
% 22.92/23.35 Done
% 22.92/23.35
% 22.92/23.35
% 22.92/23.35 Bliksems!, er is een bewijs:
% 22.92/23.35 % SZS status Unsatisfiable
% 22.92/23.35 % SZS output start Refutation
% 22.92/23.35
% 22.92/23.35 clause( 8, [ 'E'( '0', f( suc( X ) ) ), 'LE'( f( X ), '0' ), ~( 'LE'( f(
% 22.92/23.35 suc( X ) ), s( '0' ) ) ) ] )
% 22.92/23.35 .
% 22.92/23.35 clause( 10, [ ~( 'LE'( f( z ), '0' ) ) ] )
% 22.92/23.35 .
% 22.92/23.35 clause( 14, [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( suc( Y
% 22.92/23.35 ) ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'( '0', f( suc( suc( Z ) )
% 22.92/23.35 ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'(
% 22.92/23.35 '0', f( suc( suc( Y ) ) ) ) ), ~( 'E'( '0', f( suc( suc( U ) ) ) ) ), ~(
% 22.92/23.35 'E'( '0', f( Z ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( '0', f(
% 22.92/23.35 suc( suc( T ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( T ) ) ),
% 22.92/23.35 ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( f( Z ), f( suc( Z ) ) ) ), ~( 'E'(
% 22.92/23.35 f( Y ), f( suc( Y ) ) ) ), ~( 'E'( f( U ), f( suc( U ) ) ) ), ~( 'E'( '0'
% 22.92/23.35 , f( U ) ) ), ~( 'E'( '0', f( suc( U ) ) ) ), ~( 'E'( f( T ), f( suc( T )
% 22.92/23.35 ) ) ), ~( iLEQ( suc( T ), suc( X ) ) ), ~( iLEQ( suc( Y ), suc( U ) ) )
% 22.92/23.35 , ~( iLEQ( suc( Z ), suc( T ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ) ] )
% 22.92/23.35 .
% 22.92/23.35 clause( 15, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( Z ) ) )
% 22.92/23.35 ), ~( 'E'( '0', f( suc( T ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0'
% 22.92/23.35 , f( Z ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'(
% 22.92/23.35 '0', f( suc( Y ) ) ) ), ~( 'E'( '0', f( U ) ) ), ~( 'E'( '0', f( suc( U )
% 22.92/23.35 ) ) ), 'E'( f( Y ), f( suc( Y ) ) ), 'E'( f( Z ), f( suc( Z ) ) ), 'E'(
% 22.92/23.35 f( X ), f( suc( X ) ) ), 'E'( f( U ), f( suc( U ) ) ), 'E'( f( T ), f(
% 22.92/23.35 suc( T ) ) ), ~( iLEQ( suc( T ), suc( Y ) ) ), ~( iLEQ( suc( Z ), suc( T
% 22.92/23.35 ) ) ), ~( iLEQ( suc( X ), suc( U ) ) ), ~( iLEQ( suc( Y ), suc( X ) ) )
% 22.92/23.35 ] )
% 22.92/23.35 .
% 22.92/23.35 clause( 21, [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( suc( X
% 22.92/23.35 ) ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ),
% 22.92/23.35 iLEQ( suc( X ), suc( X ) ) ] )
% 22.92/23.35 .
% 22.92/23.35 clause( 22, [ ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), 'E'(
% 22.92/23.35 f( X ), f( suc( X ) ) ), iLEQ( suc( X ), suc( X ) ) ] )
% 22.92/23.35 .
% 22.92/23.35 clause( 33, [ 'E'( '0', f( suc( suc( X ) ) ) ), 'LE'( f( X ), '0' ), ~(
% 22.92/23.35 'LE'( f( suc( suc( X ) ) ), s( '0' ) ) ) ] )
% 22.92/23.35 .
% 22.92/23.35 clause( 34, [ 'LE'( f( X ), s( '0' ) ) ] )
% 22.92/23.35 .
% 22.92/23.35 clause( 36, [ 'E'( '0', f( X ) ), 'LE'( f( X ), '0' ) ] )
% 22.92/23.35 .
% 22.92/23.35 clause( 470, [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( suc(
% 22.92/23.35 Y ) ) ) ), ~( 'E'( '0', f( suc( suc( Y ) ) ) ) ), ~( 'E'( '0', f( suc( Z
% 22.92/23.35 ) ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f( suc( suc( Z ) ) ) ) )
% 22.92/23.35 , ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f(
% 22.92/23.35 Z ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( f( Y ), f( suc( Y ) )
% 22.92/23.35 ) ), ~( 'E'( f( Z ), f( suc( Z ) ) ) ), ~( iLEQ( suc( Y ), suc( Z ) ) )
% 22.92/23.35 , ~( iLEQ( suc( X ), suc( Y ) ) ), ~( iLEQ( suc( Z ), suc( X ) ) ) ] )
% 22.92/23.35 .
% 22.92/23.35 clause( 471, [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( suc(
% 22.92/23.35 X ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ),
% 22.92/23.35 ~( iLEQ( suc( X ), suc( X ) ) ) ] )
% 22.92/23.35 .
% 22.92/23.35 clause( 497, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( Y ) ) )
% 22.92/23.35 ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( Z ) ) ), ~( 'E'( '0', f( Y )
% 22.92/23.35 ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), 'E'( f( Z ), f( suc( Z ) ) ), 'E'(
% 22.92/23.35 f( X ), f( suc( X ) ) ), 'E'( f( Y ), f( suc( Y ) ) ), ~( iLEQ( suc( X )
% 22.92/23.35 , suc( Y ) ) ), ~( iLEQ( suc( Z ), suc( X ) ) ), ~( iLEQ( suc( Y ), suc(
% 22.92/23.35 Z ) ) ) ] )
% 22.92/23.35 .
% 22.92/23.35 clause( 498, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ), 'E'(
% 22.92/23.35 f( X ), f( suc( X ) ) ), ~( iLEQ( suc( X ), suc( X ) ) ) ] )
% 22.92/23.35 .
% 22.92/23.35 clause( 1059, [ 'E'( '0', f( z ) ) ] )
% 22.92/23.35 .
% 22.92/23.35 clause( 1060, [ 'E'( '0', f( suc( X ) ) ), 'LE'( f( X ), '0' ) ] )
% 22.92/23.35 .
% 22.92/23.35 clause( 1061, [ 'E'( '0', f( suc( z ) ) ) ] )
% 22.92/23.35 .
% 22.92/23.35 clause( 1062, [ 'E'( '0', f( suc( suc( X ) ) ) ), 'LE'( f( X ), '0' ) ] )
% 22.92/23.35 .
% 22.92/23.35 clause( 1063, [ 'E'( '0', f( suc( suc( z ) ) ) ) ] )
% 22.92/23.35 .
% 22.92/23.35 clause( 1065, [ ~( 'E'( '0', f( suc( X ) ) ) ), 'E'( f( X ), f( suc( X ) )
% 22.92/23.35 ), ~( 'E'( '0', f( X ) ) ) ] )
% 22.92/23.35 .
% 22.92/23.35 clause( 1069, [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( suc(
% 22.92/23.35 X ) ) ) ), ~( 'E'( '0', f( X ) ) ), iLEQ( suc( X ), suc( X ) ) ] )
% 22.92/23.35 .
% 22.92/23.35 clause( 1070, [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( suc(
% 22.92/23.35 X ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( iLEQ( suc( X ), suc( X ) ) ) ] )
% 22.92/23.35 .
% 22.92/23.35 clause( 1071, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ),
% 22.92/23.35 ~( 'E'( '0', f( suc( suc( X ) ) ) ) ) ] )
% 22.92/23.35 .
% 22.92/23.35 clause( 1073, [ ~( 'E'( '0', f( z ) ) ) ] )
% 22.92/23.35 .
% 22.92/23.35 clause( 1075, [] )
% 22.92/23.35 .
% 22.92/23.35
% 22.92/23.35
% 22.92/23.35 % SZS output end Refutation
% 22.92/23.35 found a proof!
% 22.92/23.35
% 22.92/23.35 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 22.92/23.35
% 22.92/23.35 initialclauses(
% 22.92/23.35 [ clause( 1077, [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f(
% 22.92/23.35 suc( Y ) ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), ~( 'E'( '0', f( suc( Z )
% 22.92/23.35 ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ), ~( iLEQ( suc( T ), suc( X ) ) ),
% 22.92/23.35 ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f( suc( suc( Y ) ) ) ) ), ~( 'E'(
% 22.92/23.35 '0', f( Z ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( '0', f( suc(
% 22.92/23.35 suc( T ) ) ) ) ), ~( iLEQ( suc( Y ), suc( U ) ) ), ~( 'E'( '0', f( X ) )
% 22.92/23.35 ), ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( f( Y
% 22.92/23.35 ), f( suc( Y ) ) ) ), ~( 'E'( '0', f( U ) ) ), ~( 'E'( '0', f( suc( U )
% 22.92/23.35 ) ) ), ~( 'E'( f( T ), f( suc( T ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) )
% 22.92/23.35 ), 'E'( f( Z ), f( suc( Z ) ) ), 'E'( f( U ), f( suc( U ) ) ) ] )
% 22.92/23.35 , clause( 1078, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( X
% 22.92/23.35 ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ),
% 22.92/23.35 ~( iLEQ( suc( T ), suc( Y ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f(
% 22.92/23.35 suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( suc( suc( U ) ) ) ) ), ~( 'E'( '0'
% 22.92/23.35 , f( Z ) ) ), ~( iLEQ( suc( X ), suc( U ) ) ), ~( 'E'( '0', f( Y ) ) ),
% 22.92/23.35 ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( f( X ),
% 22.92/23.35 f( suc( X ) ) ) ), ~( 'E'( f( U ), f( suc( U ) ) ) ), ~( 'E'( '0', f( U )
% 22.92/23.35 ) ), ~( 'E'( '0', f( suc( U ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) ),
% 22.92/23.35 'E'( f( Z ), f( suc( Z ) ) ), 'E'( f( T ), f( suc( T ) ) ), 'E'( f( Y ),
% 22.92/23.35 f( suc( Y ) ) ) ] )
% 22.92/23.35 , clause( 1079, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( X
% 22.92/23.35 ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ),
% 22.92/23.35 ~( iLEQ( suc( T ), suc( Y ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f(
% 22.92/23.35 suc( suc( U ) ) ) ) ), ~( 'E'( '0', f( Z ) ) ), ~( iLEQ( suc( X ), suc( U
% 22.92/23.35 ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f(
% 22.92/23.35 suc( Y ) ) ) ), ~( 'E'( f( U ), f( suc( U ) ) ) ), ~( 'E'( '0', f( U ) )
% 22.92/23.35 ), ~( 'E'( '0', f( suc( U ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) ), 'E'(
% 22.92/23.35 f( Z ), f( suc( Z ) ) ), 'E'( f( T ), f( suc( T ) ) ), 'E'( f( Y ), f(
% 22.92/23.35 suc( Y ) ) ), 'E'( f( X ), f( suc( X ) ) ) ] )
% 22.92/23.35 , clause( 1080, [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f(
% 22.92/23.35 suc( Y ) ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), ~( 'E'( '0', f( suc( Z )
% 22.92/23.35 ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ), ~( iLEQ( suc( T ), suc( X ) ) ),
% 22.92/23.35 ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f( Z ) ) ), ~( 'E'( f( X ), f( suc(
% 22.92/23.35 X ) ) ) ), ~( iLEQ( suc( Y ), suc( U ) ) ), ~( 'E'( '0', f( X ) ) ), ~(
% 22.92/23.35 'E'( '0', f( T ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( U )
% 22.92/23.35 ) ), ~( 'E'( '0', f( suc( U ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) ),
% 22.92/23.35 'E'( f( Z ), f( suc( Z ) ) ), 'E'( f( T ), f( suc( T ) ) ), 'E'( f( Y ),
% 22.92/23.35 f( suc( Y ) ) ), 'E'( f( U ), f( suc( U ) ) ) ] )
% 22.92/23.35 , clause( 1081, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( X
% 22.92/23.35 ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ),
% 22.92/23.35 ~( iLEQ( suc( T ), suc( Y ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f(
% 22.92/23.35 Z ) ) ), ~( 'E'( '0', f( suc( suc( T ) ) ) ) ), ~( iLEQ( suc( X ), suc( U
% 22.92/23.35 ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f(
% 22.92/23.35 suc( Y ) ) ) ), ~( 'E'( '0', f( U ) ) ), ~( 'E'( '0', f( suc( U ) ) ) ),
% 22.92/23.35 ~( 'E'( f( T ), f( suc( T ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) ), 'E'(
% 22.92/23.35 f( Z ), f( suc( Z ) ) ), 'E'( f( Y ), f( suc( Y ) ) ), 'E'( f( X ), f(
% 22.92/23.35 suc( X ) ) ), 'E'( f( U ), f( suc( U ) ) ) ] )
% 22.92/23.35 , clause( 1082, [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f(
% 22.92/23.35 suc( Y ) ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), ~( 'E'( '0', f( suc( Z )
% 22.92/23.35 ) ) ), ~( 'E'( '0', f( suc( suc( Z ) ) ) ) ), ~( 'E'( '0', f( suc( T ) )
% 22.92/23.35 ) ), ~( iLEQ( suc( T ), suc( X ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'(
% 22.92/23.35 '0', f( suc( suc( U ) ) ) ) ), ~( 'E'( '0', f( Z ) ) ), ~( 'E'( f( X ), f(
% 22.92/23.35 suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( U ) ) ), ~( 'E'( '0', f( X ) ) )
% 22.92/23.35 , ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( f( Z )
% 22.92/23.35 , f( suc( Z ) ) ) ), ~( 'E'( f( U ), f( suc( U ) ) ) ), ~( 'E'( '0', f( U
% 22.92/23.35 ) ) ), ~( 'E'( '0', f( suc( U ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) ),
% 22.92/23.35 'E'( f( T ), f( suc( T ) ) ), 'E'( f( Y ), f( suc( Y ) ) ) ] )
% 22.92/23.35 , clause( 1083, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( X
% 22.92/23.35 ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'( '0', f( suc( suc( Z ) ) )
% 22.92/23.35 ) ), ~( 'E'( '0', f( suc( T ) ) ) ), ~( iLEQ( suc( T ), suc( Y ) ) ),
% 22.92/23.35 ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( Z ) ) ), ~( 'E'( '0', f( suc(
% 22.92/23.35 suc( T ) ) ) ) ), ~( iLEQ( suc( X ), suc( U ) ) ), ~( 'E'( '0', f( Y ) )
% 22.92/23.35 ), ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( f( Z
% 22.92/23.35 ), f( suc( Z ) ) ) ), ~( 'E'( '0', f( U ) ) ), ~( 'E'( '0', f( suc( U )
% 22.92/23.35 ) ) ), ~( 'E'( f( T ), f( suc( T ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) )
% 22.92/23.35 ), 'E'( f( Y ), f( suc( Y ) ) ), 'E'( f( X ), f( suc( X ) ) ), 'E'( f( U
% 22.92/23.35 ), f( suc( U ) ) ) ] )
% 22.92/23.35 , clause( 1084, [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f(
% 22.92/23.35 suc( Y ) ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), ~( 'E'( '0', f( suc( Z )
% 22.92/23.35 ) ) ), ~( 'E'( '0', f( suc( suc( Z ) ) ) ) ), ~( 'E'( '0', f( suc( T ) )
% 22.92/23.35 ) ), ~( iLEQ( suc( T ), suc( X ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'(
% 22.92/23.35 '0', f( Z ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( '0', f( suc(
% 22.92/23.35 suc( T ) ) ) ) ), ~( iLEQ( suc( Y ), suc( U ) ) ), ~( 'E'( '0', f( X ) )
% 22.92/23.35 ), ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( f( Z
% 22.92/23.35 ), f( suc( Z ) ) ) ), ~( 'E'( '0', f( U ) ) ), ~( 'E'( '0', f( suc( U )
% 22.92/23.35 ) ) ), ~( 'E'( f( T ), f( suc( T ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) )
% 22.92/23.35 ), 'E'( f( Y ), f( suc( Y ) ) ), 'E'( f( U ), f( suc( U ) ) ) ] )
% 22.92/23.35 , clause( 1085, [ ~( 'LE'( f( suc( X ) ), s( '0' ) ) ), 'E'( '0', f( suc( X
% 22.92/23.35 ) ) ), 'LE'( f( X ), '0' ) ] )
% 22.92/23.35 , clause( 1086, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( X
% 22.92/23.35 ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ),
% 22.92/23.35 ~( iLEQ( suc( T ), suc( Y ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f(
% 22.92/23.35 suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( suc( suc( U ) ) ) ) ), ~( 'E'( '0'
% 22.92/23.35 , f( Z ) ) ), ~( 'E'( '0', f( suc( suc( T ) ) ) ) ), ~( iLEQ( suc( X ),
% 22.92/23.35 suc( U ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'(
% 22.92/23.35 '0', f( suc( Y ) ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( f( U )
% 22.92/23.35 , f( suc( U ) ) ) ), ~( 'E'( '0', f( U ) ) ), ~( 'E'( '0', f( suc( U ) )
% 22.92/23.35 ) ), ~( 'E'( f( T ), f( suc( T ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) )
% 22.92/23.35 , 'E'( f( Z ), f( suc( Z ) ) ), 'E'( f( Y ), f( suc( Y ) ) ) ] )
% 22.92/23.35 , clause( 1087, [ ~( 'LE'( f( z ), '0' ) ) ] )
% 22.92/23.35 , clause( 1088, [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f(
% 22.92/23.35 suc( Y ) ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), ~( 'E'( '0', f( suc( Z )
% 22.92/23.35 ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ), ~( iLEQ( suc( T ), suc( X ) ) ),
% 22.92/23.35 ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f( suc( suc( U ) ) ) ) ), ~( 'E'(
% 22.92/23.35 '0', f( Z ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( '0', f( suc(
% 22.92/23.35 suc( T ) ) ) ) ), ~( iLEQ( suc( Y ), suc( U ) ) ), ~( 'E'( '0', f( X ) )
% 22.92/23.35 ), ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( f( U
% 22.92/23.35 ), f( suc( U ) ) ) ), ~( 'E'( '0', f( U ) ) ), ~( 'E'( '0', f( suc( U )
% 22.92/23.35 ) ) ), ~( 'E'( f( T ), f( suc( T ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) )
% 22.92/23.35 ), 'E'( f( Z ), f( suc( Z ) ) ), 'E'( f( Y ), f( suc( Y ) ) ) ] )
% 22.92/23.35 , clause( 1089, [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f(
% 22.92/23.35 suc( Y ) ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), ~( 'E'( '0', f( suc( Z )
% 22.92/23.35 ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ), ~( iLEQ( suc( T ), suc( X ) ) ),
% 22.92/23.35 ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f( suc( suc( U ) ) ) ) ), ~( 'E'(
% 22.92/23.35 '0', f( Z ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( iLEQ( suc( Y ),
% 22.92/23.35 suc( U ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'(
% 22.92/23.35 '0', f( suc( X ) ) ) ), ~( 'E'( f( U ), f( suc( U ) ) ) ), ~( 'E'( '0', f(
% 22.92/23.35 U ) ) ), ~( 'E'( '0', f( suc( U ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) )
% 22.92/23.35 , 'E'( f( Z ), f( suc( Z ) ) ), 'E'( f( T ), f( suc( T ) ) ), 'E'( f( Y )
% 22.92/23.35 , f( suc( Y ) ) ) ] )
% 22.92/23.35 , clause( 1090, [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f(
% 22.92/23.35 suc( Y ) ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), ~( 'E'( '0', f( suc( Z )
% 22.92/23.35 ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ), ~( iLEQ( suc( T ), suc( X ) ) ),
% 22.92/23.35 ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f( suc( suc( Y ) ) ) ) ), ~( 'E'(
% 22.92/23.35 '0', f( Z ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( iLEQ( suc( Y ),
% 22.92/23.35 suc( U ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'(
% 22.92/23.35 '0', f( suc( X ) ) ) ), ~( 'E'( f( Y ), f( suc( Y ) ) ) ), ~( 'E'( '0', f(
% 22.92/23.35 U ) ) ), ~( 'E'( '0', f( suc( U ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) )
% 22.92/23.35 , 'E'( f( Z ), f( suc( Z ) ) ), 'E'( f( T ), f( suc( T ) ) ), 'E'( f( U )
% 22.92/23.35 , f( suc( U ) ) ) ] )
% 22.92/23.35 , clause( 1091, [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f(
% 22.92/23.35 suc( Y ) ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), ~( 'E'( '0', f( suc( Z )
% 22.92/23.35 ) ) ), ~( 'E'( '0', f( suc( suc( Z ) ) ) ) ), ~( 'E'( '0', f( suc( T ) )
% 22.92/23.35 ) ), ~( iLEQ( suc( T ), suc( X ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'(
% 22.92/23.35 '0', f( suc( suc( Y ) ) ) ) ), ~( 'E'( '0', f( suc( suc( U ) ) ) ) ), ~(
% 22.92/23.35 'E'( '0', f( Z ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( '0', f(
% 22.92/23.35 suc( suc( T ) ) ) ) ), ~( iLEQ( suc( Y ), suc( U ) ) ), ~( 'E'( '0', f( X
% 22.92/23.35 ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'(
% 22.92/23.35 f( Z ), f( suc( Z ) ) ) ), ~( 'E'( f( Y ), f( suc( Y ) ) ) ), ~( 'E'( f(
% 22.92/23.35 U ), f( suc( U ) ) ) ), ~( 'E'( '0', f( U ) ) ), ~( 'E'( '0', f( suc( U )
% 22.92/23.35 ) ) ), ~( 'E'( f( T ), f( suc( T ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) )
% 22.92/23.35 ) ] )
% 22.92/23.35 , clause( 1092, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( X
% 22.92/23.35 ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ),
% 22.92/23.35 ~( iLEQ( suc( T ), suc( Y ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f(
% 22.92/23.35 Z ) ) ), ~( iLEQ( suc( X ), suc( U ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'(
% 22.92/23.35 '0', f( T ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( '0', f( U ) ) )
% 22.92/23.35 , ~( 'E'( '0', f( suc( U ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) ), 'E'( f(
% 22.92/23.35 Y ), f( suc( Y ) ) ), 'E'( f( Z ), f( suc( Z ) ) ), 'E'( f( X ), f( suc(
% 22.92/23.35 X ) ) ), 'E'( f( U ), f( suc( U ) ) ), 'E'( f( T ), f( suc( T ) ) ) ] )
% 22.92/23.35 , clause( 1093, [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f(
% 22.92/23.35 suc( Y ) ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), ~( 'E'( '0', f( suc( Z )
% 22.92/23.35 ) ) ), ~( 'E'( '0', f( suc( suc( Z ) ) ) ) ), ~( 'E'( '0', f( suc( T ) )
% 22.92/23.35 ) ), ~( iLEQ( suc( T ), suc( X ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'(
% 22.92/23.35 '0', f( suc( suc( Y ) ) ) ) ), ~( 'E'( '0', f( Z ) ) ), ~( 'E'( f( X ), f(
% 22.92/23.35 suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc( T ) ) ) ) ), ~( iLEQ( suc( Y )
% 22.92/23.35 , suc( U ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'(
% 22.92/23.35 '0', f( suc( X ) ) ) ), ~( 'E'( f( Z ), f( suc( Z ) ) ) ), ~( 'E'( f( Y )
% 22.92/23.35 , f( suc( Y ) ) ) ), ~( 'E'( '0', f( U ) ) ), ~( 'E'( '0', f( suc( U ) )
% 22.92/23.35 ) ), ~( 'E'( f( T ), f( suc( T ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) )
% 22.92/23.35 , 'E'( f( U ), f( suc( U ) ) ) ] )
% 22.92/23.35 , clause( 1094, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( X
% 22.92/23.35 ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'( '0', f( suc( suc( Z ) ) )
% 22.92/23.35 ) ), ~( 'E'( '0', f( suc( T ) ) ) ), ~( iLEQ( suc( T ), suc( Y ) ) ),
% 22.92/23.35 ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'(
% 22.92/23.35 '0', f( suc( suc( U ) ) ) ) ), ~( 'E'( '0', f( Z ) ) ), ~( iLEQ( suc( X )
% 22.92/23.35 , suc( U ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'(
% 22.92/23.35 '0', f( suc( Y ) ) ) ), ~( 'E'( f( Z ), f( suc( Z ) ) ) ), ~( 'E'( f( X )
% 22.92/23.35 , f( suc( X ) ) ) ), ~( 'E'( f( U ), f( suc( U ) ) ) ), ~( 'E'( '0', f( U
% 22.92/23.35 ) ) ), ~( 'E'( '0', f( suc( U ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) ),
% 22.92/23.35 'E'( f( T ), f( suc( T ) ) ), 'E'( f( Y ), f( suc( Y ) ) ) ] )
% 22.92/23.35 , clause( 1095, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( X
% 22.92/23.35 ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'( '0', f( suc( suc( Z ) ) )
% 22.92/23.35 ) ), ~( 'E'( '0', f( suc( T ) ) ) ), ~( iLEQ( suc( T ), suc( Y ) ) ),
% 22.92/23.35 ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( suc( U ) ) ) ) ), ~( 'E'(
% 22.92/23.35 '0', f( Z ) ) ), ~( 'E'( '0', f( suc( suc( T ) ) ) ) ), ~( iLEQ( suc( X )
% 22.92/23.35 , suc( U ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'(
% 22.92/23.35 '0', f( suc( Y ) ) ) ), ~( 'E'( f( Z ), f( suc( Z ) ) ) ), ~( 'E'( f( U )
% 22.92/23.35 , f( suc( U ) ) ) ), ~( 'E'( '0', f( U ) ) ), ~( 'E'( '0', f( suc( U ) )
% 22.92/23.35 ) ), ~( 'E'( f( T ), f( suc( T ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) )
% 22.92/23.35 , 'E'( f( Y ), f( suc( Y ) ) ), 'E'( f( X ), f( suc( X ) ) ) ] )
% 22.92/23.35 , clause( 1096, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( X
% 22.92/23.35 ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ),
% 22.92/23.35 ~( iLEQ( suc( T ), suc( Y ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f(
% 22.92/23.35 suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( Z ) ) ), ~( iLEQ( suc( X ), suc( U
% 22.92/23.35 ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f(
% 22.92/23.35 suc( Y ) ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( '0', f( U ) )
% 22.92/23.35 ), ~( 'E'( '0', f( suc( U ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) ), 'E'(
% 22.92/23.35 f( Z ), f( suc( Z ) ) ), 'E'( f( T ), f( suc( T ) ) ), 'E'( f( Y ), f(
% 22.92/23.35 suc( Y ) ) ), 'E'( f( U ), f( suc( U ) ) ) ] )
% 22.92/23.35 , clause( 1097, [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f(
% 22.92/23.35 suc( Y ) ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), ~( 'E'( '0', f( suc( Z )
% 22.92/23.35 ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ), ~( iLEQ( suc( T ), suc( X ) ) ),
% 22.92/23.35 ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f( Z ) ) ), ~( 'E'( f( X ), f( suc(
% 22.92/23.35 X ) ) ) ), ~( 'E'( '0', f( suc( suc( T ) ) ) ) ), ~( iLEQ( suc( Y ), suc(
% 22.92/23.35 U ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f(
% 22.92/23.35 suc( X ) ) ) ), ~( 'E'( '0', f( U ) ) ), ~( 'E'( '0', f( suc( U ) ) ) ),
% 22.92/23.35 ~( 'E'( f( T ), f( suc( T ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) ), 'E'(
% 22.92/23.35 f( Z ), f( suc( Z ) ) ), 'E'( f( Y ), f( suc( Y ) ) ), 'E'( f( U ), f(
% 22.92/23.35 suc( U ) ) ) ] )
% 22.92/23.35 , clause( 1098, [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f(
% 22.92/23.35 suc( X ) ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) )
% 22.92/23.35 ), iLEQ( suc( X ), suc( X ) ) ] )
% 22.92/23.35 , clause( 1099, [ ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ),
% 22.92/23.35 'E'( f( X ), f( suc( X ) ) ), iLEQ( suc( X ), suc( X ) ) ] )
% 22.92/23.35 , clause( 1100, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( X
% 22.92/23.35 ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'( '0', f( suc( suc( Z ) ) )
% 22.92/23.35 ) ), ~( 'E'( '0', f( suc( T ) ) ) ), ~( iLEQ( suc( T ), suc( Y ) ) ),
% 22.92/23.35 ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'(
% 22.92/23.35 '0', f( Z ) ) ), ~( iLEQ( suc( X ), suc( U ) ) ), ~( 'E'( '0', f( Y ) ) )
% 22.92/23.35 , ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( f( Z )
% 22.92/23.35 , f( suc( Z ) ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( '0', f( U
% 22.92/23.35 ) ) ), ~( 'E'( '0', f( suc( U ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) ),
% 22.92/23.35 'E'( f( T ), f( suc( T ) ) ), 'E'( f( Y ), f( suc( Y ) ) ), 'E'( f( U ),
% 22.92/23.35 f( suc( U ) ) ) ] )
% 22.92/23.35 , clause( 1101, [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f(
% 22.92/23.35 suc( Y ) ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), ~( 'E'( '0', f( suc( Z )
% 22.92/23.35 ) ) ), ~( 'E'( '0', f( suc( suc( Z ) ) ) ) ), ~( 'E'( '0', f( suc( T ) )
% 22.92/23.35 ) ), ~( iLEQ( suc( T ), suc( X ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'(
% 22.92/23.35 '0', f( suc( suc( U ) ) ) ) ), ~( 'E'( '0', f( Z ) ) ), ~( 'E'( f( X ), f(
% 22.92/23.35 suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc( T ) ) ) ) ), ~( iLEQ( suc( Y )
% 22.92/23.35 , suc( U ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'(
% 22.92/23.35 '0', f( suc( X ) ) ) ), ~( 'E'( f( Z ), f( suc( Z ) ) ) ), ~( 'E'( f( U )
% 22.92/23.35 , f( suc( U ) ) ) ), ~( 'E'( '0', f( U ) ) ), ~( 'E'( '0', f( suc( U ) )
% 22.92/23.35 ) ), ~( 'E'( f( T ), f( suc( T ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) )
% 22.92/23.35 , 'E'( f( Y ), f( suc( Y ) ) ) ] )
% 22.92/23.35 , clause( 1102, [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f(
% 22.92/23.35 suc( Y ) ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), ~( 'E'( '0', f( suc( Z )
% 22.92/23.35 ) ) ), ~( 'E'( '0', f( suc( suc( Z ) ) ) ) ), ~( 'E'( '0', f( suc( T ) )
% 22.92/23.35 ) ), ~( iLEQ( suc( T ), suc( X ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'(
% 22.92/23.35 '0', f( Z ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( iLEQ( suc( Y ),
% 22.92/23.35 suc( U ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'(
% 22.92/23.35 '0', f( suc( X ) ) ) ), ~( 'E'( f( Z ), f( suc( Z ) ) ) ), ~( 'E'( '0', f(
% 22.92/23.35 U ) ) ), ~( 'E'( '0', f( suc( U ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) )
% 22.92/23.35 , 'E'( f( T ), f( suc( T ) ) ), 'E'( f( Y ), f( suc( Y ) ) ), 'E'( f( U )
% 22.92/23.35 , f( suc( U ) ) ) ] )
% 22.92/23.35 , clause( 1103, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( X
% 22.92/23.35 ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'( '0', f( suc( suc( Z ) ) )
% 22.92/23.35 ) ), ~( 'E'( '0', f( suc( T ) ) ) ), ~( iLEQ( suc( T ), suc( Y ) ) ),
% 22.92/23.35 ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'(
% 22.92/23.35 '0', f( Z ) ) ), ~( 'E'( '0', f( suc( suc( T ) ) ) ) ), ~( iLEQ( suc( X )
% 22.92/23.35 , suc( U ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'(
% 22.92/23.35 '0', f( suc( Y ) ) ) ), ~( 'E'( f( Z ), f( suc( Z ) ) ) ), ~( 'E'( f( X )
% 22.92/23.35 , f( suc( X ) ) ) ), ~( 'E'( '0', f( U ) ) ), ~( 'E'( '0', f( suc( U ) )
% 22.92/23.35 ) ), ~( 'E'( f( T ), f( suc( T ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) )
% 22.92/23.35 , 'E'( f( Y ), f( suc( Y ) ) ), 'E'( f( U ), f( suc( U ) ) ) ] )
% 22.92/23.35 , clause( 1104, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( X
% 22.92/23.35 ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ),
% 22.92/23.35 ~( iLEQ( suc( T ), suc( Y ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f(
% 22.92/23.35 suc( suc( U ) ) ) ) ), ~( 'E'( '0', f( Z ) ) ), ~( 'E'( '0', f( suc( suc(
% 22.92/23.35 T ) ) ) ) ), ~( iLEQ( suc( X ), suc( U ) ) ), ~( 'E'( '0', f( Y ) ) ),
% 22.92/23.35 ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( f( U ),
% 22.92/23.35 f( suc( U ) ) ) ), ~( 'E'( '0', f( U ) ) ), ~( 'E'( '0', f( suc( U ) ) )
% 22.92/23.35 ), ~( 'E'( f( T ), f( suc( T ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) ),
% 22.92/23.35 'E'( f( Z ), f( suc( Z ) ) ), 'E'( f( Y ), f( suc( Y ) ) ), 'E'( f( X ),
% 22.92/23.35 f( suc( X ) ) ) ] )
% 22.92/23.35 , clause( 1105, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( X
% 22.92/23.35 ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'( '0', f( suc( suc( Z ) ) )
% 22.92/23.35 ) ), ~( 'E'( '0', f( suc( T ) ) ) ), ~( iLEQ( suc( T ), suc( Y ) ) ),
% 22.92/23.35 ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( Z ) ) ), ~( iLEQ( suc( X ), suc(
% 22.92/23.35 U ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f(
% 22.92/23.35 suc( Y ) ) ) ), ~( 'E'( f( Z ), f( suc( Z ) ) ) ), ~( 'E'( '0', f( U ) )
% 22.92/23.35 ), ~( 'E'( '0', f( suc( U ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) ), 'E'(
% 22.92/23.35 f( T ), f( suc( T ) ) ), 'E'( f( Y ), f( suc( Y ) ) ), 'E'( f( X ), f(
% 22.92/23.35 suc( X ) ) ), 'E'( f( U ), f( suc( U ) ) ) ] )
% 22.92/23.35 , clause( 1106, [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f(
% 22.92/23.35 suc( Y ) ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), ~( 'E'( '0', f( suc( Z )
% 22.92/23.35 ) ) ), ~( 'E'( '0', f( suc( suc( Z ) ) ) ) ), ~( 'E'( '0', f( suc( T ) )
% 22.92/23.35 ) ), ~( iLEQ( suc( T ), suc( X ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'(
% 22.92/23.35 '0', f( suc( suc( Y ) ) ) ) ), ~( 'E'( '0', f( Z ) ) ), ~( 'E'( f( X ), f(
% 22.92/23.35 suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( U ) ) ), ~( 'E'( '0', f( X ) ) )
% 22.92/23.35 , ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( f( Z )
% 22.92/23.35 , f( suc( Z ) ) ) ), ~( 'E'( f( Y ), f( suc( Y ) ) ) ), ~( 'E'( '0', f( U
% 22.92/23.35 ) ) ), ~( 'E'( '0', f( suc( U ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) ),
% 22.92/23.35 'E'( f( T ), f( suc( T ) ) ), 'E'( f( U ), f( suc( U ) ) ) ] )
% 22.92/23.35 , clause( 1107, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( X
% 22.92/23.35 ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'( '0', f( suc( suc( Z ) ) )
% 22.92/23.35 ) ), ~( 'E'( '0', f( suc( T ) ) ) ), ~( iLEQ( suc( T ), suc( Y ) ) ),
% 22.92/23.35 ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'(
% 22.92/23.35 '0', f( suc( suc( U ) ) ) ) ), ~( 'E'( '0', f( Z ) ) ), ~( 'E'( '0', f(
% 22.92/23.35 suc( suc( T ) ) ) ) ), ~( iLEQ( suc( X ), suc( U ) ) ), ~( 'E'( '0', f( Y
% 22.92/23.35 ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'(
% 22.92/23.35 f( Z ), f( suc( Z ) ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( f(
% 22.92/23.35 U ), f( suc( U ) ) ) ), ~( 'E'( '0', f( U ) ) ), ~( 'E'( '0', f( suc( U )
% 22.92/23.35 ) ) ), ~( 'E'( f( T ), f( suc( T ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) )
% 22.92/23.35 ), 'E'( f( Y ), f( suc( Y ) ) ) ] )
% 22.92/23.35 , clause( 1108, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( X
% 22.92/23.35 ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ),
% 22.92/23.35 ~( iLEQ( suc( T ), suc( Y ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f(
% 22.92/23.35 suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( Z ) ) ), ~( 'E'( '0', f( suc( suc(
% 22.92/23.35 T ) ) ) ) ), ~( iLEQ( suc( X ), suc( U ) ) ), ~( 'E'( '0', f( Y ) ) ),
% 22.92/23.35 ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( f( X ),
% 22.92/23.35 f( suc( X ) ) ) ), ~( 'E'( '0', f( U ) ) ), ~( 'E'( '0', f( suc( U ) ) )
% 22.92/23.35 ), ~( 'E'( f( T ), f( suc( T ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) ),
% 22.92/23.35 'E'( f( Z ), f( suc( Z ) ) ), 'E'( f( Y ), f( suc( Y ) ) ), 'E'( f( U ),
% 22.92/23.35 f( suc( U ) ) ) ] )
% 22.92/23.35 , clause( 1109, [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f(
% 22.92/23.35 suc( Y ) ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), ~( 'E'( '0', f( suc( Z )
% 22.92/23.35 ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ), ~( iLEQ( suc( T ), suc( X ) ) ),
% 22.92/23.35 ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f( suc( suc( Y ) ) ) ) ), ~( 'E'(
% 25.25/25.66 '0', f( suc( suc( U ) ) ) ) ), ~( 'E'( '0', f( Z ) ) ), ~( 'E'( f( X ), f(
% 25.25/25.66 suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc( T ) ) ) ) ), ~( iLEQ( suc( Y )
% 25.25/25.66 , suc( U ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'(
% 25.25/25.66 '0', f( suc( X ) ) ) ), ~( 'E'( f( Y ), f( suc( Y ) ) ) ), ~( 'E'( f( U )
% 25.25/25.66 , f( suc( U ) ) ) ), ~( 'E'( '0', f( U ) ) ), ~( 'E'( '0', f( suc( U ) )
% 25.25/25.66 ) ), ~( 'E'( f( T ), f( suc( T ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) )
% 25.25/25.66 , 'E'( f( Z ), f( suc( Z ) ) ) ] )
% 25.25/25.66 , clause( 1110, [ ~( 'LE'( f( suc( suc( X ) ) ), s( '0' ) ) ), 'E'( '0', f(
% 25.25/25.66 suc( suc( X ) ) ) ), 'LE'( f( X ), '0' ) ] )
% 25.25/25.66 , clause( 1111, [ 'LE'( f( X ), s( '0' ) ) ] )
% 25.25/25.66 , clause( 1112, [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f(
% 25.25/25.66 suc( Y ) ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), ~( 'E'( '0', f( suc( Z )
% 25.25/25.66 ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ), ~( iLEQ( suc( T ), suc( X ) ) ),
% 25.25/25.66 ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f( suc( suc( Y ) ) ) ) ), ~( 'E'(
% 25.25/25.66 '0', f( suc( suc( U ) ) ) ) ), ~( 'E'( '0', f( Z ) ) ), ~( 'E'( f( X ), f(
% 25.25/25.66 suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( U ) ) ), ~( 'E'( '0', f( X ) ) )
% 25.25/25.66 , ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( f( Y )
% 25.25/25.66 , f( suc( Y ) ) ) ), ~( 'E'( f( U ), f( suc( U ) ) ) ), ~( 'E'( '0', f( U
% 25.25/25.66 ) ) ), ~( 'E'( '0', f( suc( U ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) ),
% 25.25/25.66 'E'( f( Z ), f( suc( Z ) ) ), 'E'( f( T ), f( suc( T ) ) ) ] )
% 25.25/25.66 , clause( 1113, [ ~( 'LE'( f( X ), s( '0' ) ) ), 'E'( '0', f( X ) ), 'LE'(
% 25.25/25.66 f( X ), '0' ) ] )
% 25.25/25.66 , clause( 1114, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( X
% 25.25/25.66 ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'( '0', f( suc( suc( Z ) ) )
% 25.25/25.66 ) ), ~( 'E'( '0', f( suc( T ) ) ) ), ~( iLEQ( suc( T ), suc( Y ) ) ),
% 25.25/25.66 ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( suc( U ) ) ) ) ), ~( 'E'(
% 25.25/25.66 '0', f( Z ) ) ), ~( iLEQ( suc( X ), suc( U ) ) ), ~( 'E'( '0', f( Y ) ) )
% 25.25/25.66 , ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( f( Z )
% 25.25/25.66 , f( suc( Z ) ) ) ), ~( 'E'( f( U ), f( suc( U ) ) ) ), ~( 'E'( '0', f( U
% 25.25/25.66 ) ) ), ~( 'E'( '0', f( suc( U ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) ),
% 25.25/25.66 'E'( f( T ), f( suc( T ) ) ), 'E'( f( Y ), f( suc( Y ) ) ), 'E'( f( X ),
% 25.25/25.66 f( suc( X ) ) ) ] )
% 25.25/25.66 , clause( 1115, [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f(
% 25.25/25.66 suc( Y ) ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), ~( 'E'( '0', f( suc( Z )
% 25.25/25.66 ) ) ), ~( 'E'( '0', f( suc( suc( Z ) ) ) ) ), ~( 'E'( '0', f( suc( T ) )
% 25.25/25.66 ) ), ~( iLEQ( suc( T ), suc( X ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'(
% 25.25/25.66 '0', f( suc( suc( Y ) ) ) ) ), ~( 'E'( '0', f( suc( suc( U ) ) ) ) ), ~(
% 25.25/25.66 'E'( '0', f( Z ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( iLEQ( suc( Y
% 25.25/25.66 ), suc( U ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( T ) ) ), ~(
% 25.25/25.66 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( f( Z ), f( suc( Z ) ) ) ), ~( 'E'( f(
% 25.25/25.66 Y ), f( suc( Y ) ) ) ), ~( 'E'( f( U ), f( suc( U ) ) ) ), ~( 'E'( '0', f(
% 25.25/25.66 U ) ) ), ~( 'E'( '0', f( suc( U ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) )
% 25.25/25.66 , 'E'( f( T ), f( suc( T ) ) ) ] )
% 25.25/25.66 ] ).
% 25.25/25.66
% 25.25/25.66
% 25.25/25.66
% 25.25/25.66 subsumption(
% 25.25/25.66 clause( 8, [ 'E'( '0', f( suc( X ) ) ), 'LE'( f( X ), '0' ), ~( 'LE'( f(
% 25.25/25.66 suc( X ) ), s( '0' ) ) ) ] )
% 25.25/25.66 , clause( 1085, [ ~( 'LE'( f( suc( X ) ), s( '0' ) ) ), 'E'( '0', f( suc( X
% 25.25/25.66 ) ) ), 'LE'( f( X ), '0' ) ] )
% 25.25/25.66 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 25.25/25.66 0 ), ==>( 2, 1 )] ) ).
% 25.25/25.66
% 25.25/25.66
% 25.25/25.66 subsumption(
% 25.25/25.66 clause( 10, [ ~( 'LE'( f( z ), '0' ) ) ] )
% 25.25/25.66 , clause( 1087, [ ~( 'LE'( f( z ), '0' ) ) ] )
% 25.25/25.66 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 25.25/25.66
% 25.25/25.66
% 25.25/25.66 subsumption(
% 25.25/25.66 clause( 14, [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( suc( Y
% 25.25/25.66 ) ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'( '0', f( suc( suc( Z ) )
% 25.25/25.66 ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'(
% 25.25/25.66 '0', f( suc( suc( Y ) ) ) ) ), ~( 'E'( '0', f( suc( suc( U ) ) ) ) ), ~(
% 25.25/25.66 'E'( '0', f( Z ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( '0', f(
% 25.25/25.66 suc( suc( T ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( T ) ) ),
% 25.25/25.66 ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( f( Z ), f( suc( Z ) ) ) ), ~( 'E'(
% 25.25/25.66 f( Y ), f( suc( Y ) ) ) ), ~( 'E'( f( U ), f( suc( U ) ) ) ), ~( 'E'( '0'
% 30.13/30.57 , f( U ) ) ), ~( 'E'( '0', f( suc( U ) ) ) ), ~( 'E'( f( T ), f( suc( T )
% 30.13/30.57 ) ) ), ~( iLEQ( suc( T ), suc( X ) ) ), ~( iLEQ( suc( Y ), suc( U ) ) )
% 30.13/30.57 , ~( iLEQ( suc( Z ), suc( T ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ) ] )
% 30.13/30.57 , clause( 1091, [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f(
% 30.13/30.57 suc( Y ) ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), ~( 'E'( '0', f( suc( Z )
% 30.13/30.57 ) ) ), ~( 'E'( '0', f( suc( suc( Z ) ) ) ) ), ~( 'E'( '0', f( suc( T ) )
% 30.13/30.57 ) ), ~( iLEQ( suc( T ), suc( X ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'(
% 30.13/30.57 '0', f( suc( suc( Y ) ) ) ) ), ~( 'E'( '0', f( suc( suc( U ) ) ) ) ), ~(
% 30.13/30.57 'E'( '0', f( Z ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( '0', f(
% 30.13/30.57 suc( suc( T ) ) ) ) ), ~( iLEQ( suc( Y ), suc( U ) ) ), ~( 'E'( '0', f( X
% 30.13/30.57 ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'(
% 30.13/30.57 f( Z ), f( suc( Z ) ) ) ), ~( 'E'( f( Y ), f( suc( Y ) ) ) ), ~( 'E'( f(
% 30.13/30.57 U ), f( suc( U ) ) ) ), ~( 'E'( '0', f( U ) ) ), ~( 'E'( '0', f( suc( U )
% 30.13/30.57 ) ) ), ~( 'E'( f( T ), f( suc( T ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) )
% 30.13/30.57 ) ] )
% 30.13/30.57 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 30.13/30.57 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 23 ), ==>(
% 30.13/30.57 3, 2 ), ==>( 4, 3 ), ==>( 5, 4 ), ==>( 6, 20 ), ==>( 7, 5 ), ==>( 8, 6 )
% 30.13/30.57 , ==>( 9, 7 ), ==>( 10, 8 ), ==>( 11, 9 ), ==>( 12, 10 ), ==>( 13, 21 ),
% 30.13/30.57 ==>( 14, 11 ), ==>( 15, 12 ), ==>( 16, 13 ), ==>( 17, 14 ), ==>( 18, 15 )
% 30.13/30.57 , ==>( 19, 16 ), ==>( 20, 17 ), ==>( 21, 18 ), ==>( 22, 19 ), ==>( 23, 22
% 30.13/30.57 )] ) ).
% 30.13/30.57
% 30.13/30.57
% 30.13/30.57 subsumption(
% 30.13/30.57 clause( 15, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( Z ) ) )
% 30.13/30.57 ), ~( 'E'( '0', f( suc( T ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0'
% 30.13/30.57 , f( Z ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'(
% 30.13/30.57 '0', f( suc( Y ) ) ) ), ~( 'E'( '0', f( U ) ) ), ~( 'E'( '0', f( suc( U )
% 30.13/30.57 ) ) ), 'E'( f( Y ), f( suc( Y ) ) ), 'E'( f( Z ), f( suc( Z ) ) ), 'E'(
% 30.13/30.57 f( X ), f( suc( X ) ) ), 'E'( f( U ), f( suc( U ) ) ), 'E'( f( T ), f(
% 30.13/30.57 suc( T ) ) ), ~( iLEQ( suc( T ), suc( Y ) ) ), ~( iLEQ( suc( Z ), suc( T
% 30.13/30.57 ) ) ), ~( iLEQ( suc( X ), suc( U ) ) ), ~( iLEQ( suc( Y ), suc( X ) ) )
% 30.13/30.57 ] )
% 30.13/30.57 , clause( 1092, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( X
% 30.13/30.57 ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ),
% 30.13/30.57 ~( iLEQ( suc( T ), suc( Y ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f(
% 30.13/30.57 Z ) ) ), ~( iLEQ( suc( X ), suc( U ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'(
% 30.13/30.57 '0', f( T ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( '0', f( U ) ) )
% 30.13/30.57 , ~( 'E'( '0', f( suc( U ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) ), 'E'( f(
% 30.13/30.57 Y ), f( suc( Y ) ) ), 'E'( f( Z ), f( suc( Z ) ) ), 'E'( f( X ), f( suc(
% 30.13/30.57 X ) ) ), 'E'( f( U ), f( suc( U ) ) ), 'E'( f( T ), f( suc( T ) ) ) ] )
% 30.13/30.57 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 30.13/30.57 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 18 ), ==>( 2, 1 ), ==>(
% 30.13/30.57 3, 2 ), ==>( 4, 15 ), ==>( 5, 3 ), ==>( 6, 4 ), ==>( 7, 17 ), ==>( 8, 5 )
% 30.13/30.57 , ==>( 9, 6 ), ==>( 10, 7 ), ==>( 11, 8 ), ==>( 12, 9 ), ==>( 13, 16 ),
% 30.13/30.57 ==>( 14, 10 ), ==>( 15, 11 ), ==>( 16, 12 ), ==>( 17, 13 ), ==>( 18, 14 )] )
% 30.13/30.57 ).
% 30.13/30.57
% 30.13/30.57
% 30.13/30.57 subsumption(
% 30.13/30.57 clause( 21, [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( suc( X
% 30.13/30.57 ) ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ),
% 30.13/30.57 iLEQ( suc( X ), suc( X ) ) ] )
% 30.13/30.57 , clause( 1098, [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f(
% 30.13/30.57 suc( X ) ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) )
% 30.13/30.57 ), iLEQ( suc( X ), suc( X ) ) ] )
% 30.13/30.57 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 30.13/30.57 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 30.13/30.57
% 30.13/30.57
% 30.13/30.57 subsumption(
% 30.13/30.57 clause( 22, [ ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), 'E'(
% 30.13/30.57 f( X ), f( suc( X ) ) ), iLEQ( suc( X ), suc( X ) ) ] )
% 30.13/30.57 , clause( 1099, [ ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ),
% 30.13/30.57 'E'( f( X ), f( suc( X ) ) ), iLEQ( suc( X ), suc( X ) ) ] )
% 30.13/30.57 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 30.13/30.57 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 33.12/33.52
% 33.12/33.52
% 33.12/33.52 subsumption(
% 33.12/33.52 clause( 33, [ 'E'( '0', f( suc( suc( X ) ) ) ), 'LE'( f( X ), '0' ), ~(
% 33.12/33.52 'LE'( f( suc( suc( X ) ) ), s( '0' ) ) ) ] )
% 33.12/33.52 , clause( 1110, [ ~( 'LE'( f( suc( suc( X ) ) ), s( '0' ) ) ), 'E'( '0', f(
% 33.12/33.52 suc( suc( X ) ) ) ), 'LE'( f( X ), '0' ) ] )
% 33.12/33.52 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 33.12/33.52 0 ), ==>( 2, 1 )] ) ).
% 33.12/33.52
% 33.12/33.52
% 33.12/33.52 subsumption(
% 33.12/33.52 clause( 34, [ 'LE'( f( X ), s( '0' ) ) ] )
% 33.12/33.52 , clause( 1111, [ 'LE'( f( X ), s( '0' ) ) ] )
% 33.12/33.52 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 33.12/33.52
% 33.12/33.52
% 33.12/33.52 resolution(
% 33.12/33.52 clause( 36508, [ 'E'( '0', f( X ) ), 'LE'( f( X ), '0' ) ] )
% 33.12/33.52 , clause( 1113, [ ~( 'LE'( f( X ), s( '0' ) ) ), 'E'( '0', f( X ) ), 'LE'(
% 33.12/33.52 f( X ), '0' ) ] )
% 33.12/33.52 , 0, clause( 34, [ 'LE'( f( X ), s( '0' ) ) ] )
% 33.12/33.52 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 33.12/33.52 ).
% 33.12/33.52
% 33.12/33.52
% 33.12/33.52 subsumption(
% 33.12/33.52 clause( 36, [ 'E'( '0', f( X ) ), 'LE'( f( X ), '0' ) ] )
% 33.12/33.52 , clause( 36508, [ 'E'( '0', f( X ) ), 'LE'( f( X ), '0' ) ] )
% 33.12/33.52 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 33.12/33.52 1 )] ) ).
% 33.12/33.52
% 33.12/33.52
% 33.12/33.52
% 33.12/33.52 ==> clause( 470, [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f(
% 33.12/33.52 suc( Y ) ) ) ), ~( 'E'( '0', f( suc( suc( Y ) ) ) ) ), ~( 'E'( '0', f(
% 33.12/33.52 suc( Z ) ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f( suc( suc( Z ) )
% 33.12/33.52 ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'(
% 33.12/33.52 '0', f( Z ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( f( Y ), f(
% 33.12/33.52 suc( Y ) ) ) ), ~( 'E'( f( Z ), f( suc( Z ) ) ) ), ~( iLEQ( suc( Y ), suc(
% 33.12/33.52 Z ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), ~( iLEQ( suc( Z ), suc( X ) ) )
% 33.12/33.52 ] )
% 33.12/33.52
% 33.12/33.52
% 33.12/33.52
% 33.12/33.52 !!! Internal Problem: OH, OH, COULD NOT DERIVE GOAL !!!
% 33.12/33.52
% 33.12/33.52 Bliksem ended
%------------------------------------------------------------------------------