%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ALG191+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 12:53:44 PM UTC 2026
% Result : Unsatisfiable 2.89s 1.07s
% Output : CNFRefutation 2.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 54
% Syntax : Number of formulae : 666 ( 271 unt; 4 def)
% Number of atoms : 2485 (2398 equ)
% Maximal formula atoms : 250 ( 3 avg)
% Number of connectives : 2885 (1066 ~;1426 |; 393 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op(e4,e4) = e4
| op(e4,e4) = e3
| op(e4,e4) = e2
| op(e4,e4) = e1
| op(e4,e4) = e0 )
& ( op(e4,e3) = e4
| op(e4,e3) = e3
| op(e4,e3) = e2
| op(e4,e3) = e1
| op(e4,e3) = e0 )
& ( op(e4,e2) = e4
| op(e4,e2) = e3
| op(e4,e2) = e2
| op(e4,e2) = e1
| op(e4,e2) = e0 )
& ( op(e4,e1) = e4
| op(e4,e1) = e3
| op(e4,e1) = e2
| op(e4,e1) = e1
| op(e4,e1) = e0 )
& ( op(e4,e0) = e4
| op(e4,e0) = e3
| op(e4,e0) = e2
| op(e4,e0) = e1
| op(e4,e0) = e0 )
& ( op(e3,e4) = e4
| op(e3,e4) = e3
| op(e3,e4) = e2
| op(e3,e4) = e1
| op(e3,e4) = e0 )
& ( op(e3,e3) = e4
| op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 )
& ( op(e3,e2) = e4
| op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 )
& ( op(e3,e1) = e4
| op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 )
& ( op(e3,e0) = e4
| op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 )
& ( op(e2,e4) = e4
| op(e2,e4) = e3
| op(e2,e4) = e2
| op(e2,e4) = e1
| op(e2,e4) = e0 )
& ( op(e2,e3) = e4
| op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 )
& ( op(e2,e2) = e4
| op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 )
& ( op(e2,e1) = e4
| op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 )
& ( op(e2,e0) = e4
| op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 )
& ( op(e1,e4) = e4
| op(e1,e4) = e3
| op(e1,e4) = e2
| op(e1,e4) = e1
| op(e1,e4) = e0 )
& ( op(e1,e3) = e4
| op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 )
& ( op(e1,e2) = e4
| op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 )
& ( op(e1,e1) = e4
| op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 )
& ( op(e1,e0) = e4
| op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 )
& ( op(e0,e4) = e4
| op(e0,e4) = e3
| op(e0,e4) = e2
| op(e0,e4) = e1
| op(e0,e4) = e0 )
& ( op(e0,e3) = e4
| op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 )
& ( op(e0,e2) = e4
| op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 )
& ( op(e0,e1) = e4
| op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 )
& ( op(e0,e0) = e4
| op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f2,axiom,
( ( op(e4,e4) = e4
| op(e3,e4) = e4
| op(e2,e4) = e4
| op(e1,e4) = e4
| op(e0,e4) = e4 )
& ( op(e4,e4) = e4
| op(e4,e3) = e4
| op(e4,e2) = e4
| op(e4,e1) = e4
| op(e4,e0) = e4 )
& ( op(e4,e4) = e3
| op(e3,e4) = e3
| op(e2,e4) = e3
| op(e1,e4) = e3
| op(e0,e4) = e3 )
& ( op(e4,e4) = e3
| op(e4,e3) = e3
| op(e4,e2) = e3
| op(e4,e1) = e3
| op(e4,e0) = e3 )
& ( op(e4,e4) = e2
| op(e3,e4) = e2
| op(e2,e4) = e2
| op(e1,e4) = e2
| op(e0,e4) = e2 )
& ( op(e4,e4) = e2
| op(e4,e3) = e2
| op(e4,e2) = e2
| op(e4,e1) = e2
| op(e4,e0) = e2 )
& ( op(e4,e4) = e1
| op(e3,e4) = e1
| op(e2,e4) = e1
| op(e1,e4) = e1
| op(e0,e4) = e1 )
& ( op(e4,e4) = e1
| op(e4,e3) = e1
| op(e4,e2) = e1
| op(e4,e1) = e1
| op(e4,e0) = e1 )
& ( op(e4,e4) = e0
| op(e3,e4) = e0
| op(e2,e4) = e0
| op(e1,e4) = e0
| op(e0,e4) = e0 )
& ( op(e4,e4) = e0
| op(e4,e3) = e0
| op(e4,e2) = e0
| op(e4,e1) = e0
| op(e4,e0) = e0 )
& ( op(e4,e3) = e4
| op(e3,e3) = e4
| op(e2,e3) = e4
| op(e1,e3) = e4
| op(e0,e3) = e4 )
& ( op(e3,e4) = e4
| op(e3,e3) = e4
| op(e3,e2) = e4
| op(e3,e1) = e4
| op(e3,e0) = e4 )
& ( op(e4,e3) = e3
| op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 )
& ( op(e3,e4) = e3
| op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 )
& ( op(e4,e3) = e2
| op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 )
& ( op(e3,e4) = e2
| op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 )
& ( op(e4,e3) = e1
| op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 )
& ( op(e3,e4) = e1
| op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 )
& ( op(e4,e3) = e0
| op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 )
& ( op(e3,e4) = e0
| op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 )
& ( op(e4,e2) = e4
| op(e3,e2) = e4
| op(e2,e2) = e4
| op(e1,e2) = e4
| op(e0,e2) = e4 )
& ( op(e2,e4) = e4
| op(e2,e3) = e4
| op(e2,e2) = e4
| op(e2,e1) = e4
| op(e2,e0) = e4 )
& ( op(e4,e2) = e3
| op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 )
& ( op(e2,e4) = e3
| op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 )
& ( op(e4,e2) = e2
| op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 )
& ( op(e2,e4) = e2
| op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 )
& ( op(e4,e2) = e1
| op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 )
& ( op(e2,e4) = e1
| op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 )
& ( op(e4,e2) = e0
| op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 )
& ( op(e2,e4) = e0
| op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 )
& ( op(e4,e1) = e4
| op(e3,e1) = e4
| op(e2,e1) = e4
| op(e1,e1) = e4
| op(e0,e1) = e4 )
& ( op(e1,e4) = e4
| op(e1,e3) = e4
| op(e1,e2) = e4
| op(e1,e1) = e4
| op(e1,e0) = e4 )
& ( op(e4,e1) = e3
| op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 )
& ( op(e1,e4) = e3
| op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 )
& ( op(e4,e1) = e2
| op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 )
& ( op(e1,e4) = e2
| op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 )
& ( op(e4,e1) = e1
| op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 )
& ( op(e1,e4) = e1
| op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 )
& ( op(e4,e1) = e0
| op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 )
& ( op(e1,e4) = e0
| op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 )
& ( op(e4,e0) = e4
| op(e3,e0) = e4
| op(e2,e0) = e4
| op(e1,e0) = e4
| op(e0,e0) = e4 )
& ( op(e0,e4) = e4
| op(e0,e3) = e4
| op(e0,e2) = e4
| op(e0,e1) = e4
| op(e0,e0) = e4 )
& ( op(e4,e0) = e3
| op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 )
& ( op(e0,e4) = e3
| op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 )
& ( op(e4,e0) = e2
| op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 )
& ( op(e0,e4) = e2
| op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 )
& ( op(e4,e0) = e1
| op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 )
& ( op(e0,e4) = e1
| op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 )
& ( op(e4,e0) = e0
| op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 )
& ( op(e0,e4) = e0
| op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f3,axiom,
( op(op(e4,e4),op(e4,e4)) = e4
& op(op(e3,e4),op(e4,e3)) = e4
& op(op(e2,e4),op(e4,e2)) = e4
& op(op(e1,e4),op(e4,e1)) = e4
& op(op(e0,e4),op(e4,e0)) = e4
& op(op(e4,e3),op(e3,e4)) = e3
& op(op(e3,e3),op(e3,e3)) = e3
& op(op(e2,e3),op(e3,e2)) = e3
& op(op(e1,e3),op(e3,e1)) = e3
& op(op(e0,e3),op(e3,e0)) = e3
& op(op(e4,e2),op(e2,e4)) = e2
& op(op(e3,e2),op(e2,e3)) = e2
& op(op(e2,e2),op(e2,e2)) = e2
& op(op(e1,e2),op(e2,e1)) = e2
& op(op(e0,e2),op(e2,e0)) = e2
& op(op(e4,e1),op(e1,e4)) = e1
& op(op(e3,e1),op(e1,e3)) = e1
& op(op(e2,e1),op(e1,e2)) = e1
& op(op(e1,e1),op(e1,e1)) = e1
& op(op(e0,e1),op(e1,e0)) = e1
& op(op(e4,e0),op(e0,e4)) = e0
& op(op(e3,e0),op(e0,e3)) = e0
& op(op(e2,e0),op(e0,e2)) = e0
& op(op(e1,e0),op(e0,e1)) = e0
& op(op(e0,e0),op(e0,e0)) = e0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f4,axiom,
( op(e4,e3) != op(e4,e4)
& op(e4,e2) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e2)
& op(e4,e0) != op(e4,e4)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e1)
& op(e3,e3) != op(e3,e4)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e4)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e3) != op(e2,e4)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e4)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e3) != op(e1,e4)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e3) != op(e0,e4)
& op(e0,e2) != op(e0,e4)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e4)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e3,e4) != op(e4,e4)
& op(e2,e4) != op(e4,e4)
& op(e2,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e2,e4)
& op(e0,e4) != op(e4,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e1,e4)
& op(e3,e3) != op(e4,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e4,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e3,e2) != op(e4,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e4,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e3,e1) != op(e4,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e4,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e3,e0) != op(e4,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f5,axiom,
( e3 != e4
& e2 != e4
& e2 != e3
& e1 != e4
& e1 != e3
& e1 != e2
& e0 != e4
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f6,axiom,
( ( op(e4,e4) != e4
& op(e4,e3) != e3
& op(e4,e2) != e2
& op(e4,e1) != e1
& op(e4,e0) != e0 )
| ( op(e3,e4) != e4
& op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0 )
| ( op(e2,e4) != e4
& op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0 )
| ( op(e1,e4) != e4
& op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0 )
| ( op(e0,e4) != e4
& op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f7,axiom,
~ ( e4 = op(e3,op(e3,e3))
& e2 = op(e3,e3)
& e1 = op(e3,op(e3,op(e3,e3)))
& e0 = op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(f8,axiom,
~ ( e3 = op(e4,op(e4,e4))
& e2 = op(e4,e4)
& e1 = op(e4,op(e4,op(e4,e4)))
& e0 = op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
fof(f11,axiom,
~ ( e3 = op(e2,op(e2,e2))
& e4 = op(e2,e2)
& e1 = op(e2,op(e2,op(e2,e2)))
& e0 = op(op(e2,op(e2,e2)),op(e2,op(e2,e2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(f12,axiom,
~ ( e2 = op(e3,op(e3,e3))
& e4 = op(e3,e3)
& e1 = op(e3,op(e3,op(e3,e3)))
& e0 = op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(f13,axiom,
~ ( e4 = op(e3,op(e3,e3))
& e1 = op(e3,e3)
& e2 = op(e3,op(e3,op(e3,e3)))
& e0 = op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(f15,axiom,
~ ( e4 = op(e1,op(e1,e1))
& e3 = op(e1,e1)
& e2 = op(e1,op(e1,op(e1,e1)))
& e0 = op(op(e1,op(e1,e1)),op(e1,op(e1,e1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f18,axiom,
~ ( e1 = op(e3,op(e3,e3))
& e4 = op(e3,e3)
& e2 = op(e3,op(e3,op(e3,e3)))
& e0 = op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).
fof(f19,axiom,
~ ( e4 = op(e2,op(e2,e2))
& e1 = op(e2,e2)
& e3 = op(e2,op(e2,op(e2,e2)))
& e0 = op(op(e2,op(e2,e2)),op(e2,op(e2,e2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).
fof(f24,axiom,
~ ( e1 = op(e2,op(e2,e2))
& e4 = op(e2,e2)
& e3 = op(e2,op(e2,op(e2,e2)))
& e0 = op(op(e2,op(e2,e2)),op(e2,op(e2,e2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).
fof(f25,axiom,
~ ( e3 = op(e2,op(e2,e2))
& e1 = op(e2,e2)
& e4 = op(e2,op(e2,op(e2,e2)))
& e0 = op(op(e2,op(e2,e2)),op(e2,op(e2,e2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).
fof(f26,axiom,
~ ( e2 = op(e3,op(e3,e3))
& e1 = op(e3,e3)
& e4 = op(e3,op(e3,op(e3,e3)))
& e0 = op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
fof(f30,axiom,
~ ( e1 = op(e2,op(e2,e2))
& e3 = op(e2,e2)
& e4 = op(e2,op(e2,op(e2,e2)))
& e0 = op(op(e2,op(e2,e2)),op(e2,op(e2,e2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax30) ).
fof(f31,axiom,
~ ( e4 = op(e3,op(e3,e3))
& e2 = op(e3,e3)
& e0 = op(e3,op(e3,op(e3,e3)))
& e1 = op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax31) ).
fof(f32,axiom,
~ ( e3 = op(e4,op(e4,e4))
& e2 = op(e4,e4)
& e0 = op(e4,op(e4,op(e4,e4)))
& e1 = op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax32) ).
fof(f33,axiom,
~ ( e4 = op(e2,op(e2,e2))
& e3 = op(e2,e2)
& e0 = op(e2,op(e2,op(e2,e2)))
& e1 = op(op(e2,op(e2,e2)),op(e2,op(e2,e2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax33) ).
fof(f36,axiom,
~ ( e2 = op(e3,op(e3,e3))
& e4 = op(e3,e3)
& e0 = op(e3,op(e3,op(e3,e3)))
& e1 = op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax36) ).
fof(f37,axiom,
~ ( e4 = op(e3,op(e3,e3))
& e0 = op(e3,e3)
& e2 = op(e3,op(e3,op(e3,e3)))
& e1 = op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax37) ).
fof(f41,axiom,
~ ( e3 = op(e0,op(e0,e0))
& e4 = op(e0,e0)
& e2 = op(e0,op(e0,op(e0,e0)))
& e1 = op(op(e0,op(e0,e0)),op(e0,op(e0,e0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax41) ).
fof(f42,axiom,
~ ( e0 = op(e3,op(e3,e3))
& e4 = op(e3,e3)
& e2 = op(e3,op(e3,op(e3,e3)))
& e1 = op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax42) ).
fof(f43,axiom,
~ ( e4 = op(e2,op(e2,e2))
& e0 = op(e2,e2)
& e3 = op(e2,op(e2,op(e2,e2)))
& e1 = op(op(e2,op(e2,e2)),op(e2,op(e2,e2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax43) ).
fof(f44,axiom,
~ ( e2 = op(e4,op(e4,e4))
& e0 = op(e4,e4)
& e3 = op(e4,op(e4,op(e4,e4)))
& e1 = op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax44) ).
fof(f46,axiom,
~ ( e0 = op(e4,op(e4,e4))
& e2 = op(e4,e4)
& e3 = op(e4,op(e4,op(e4,e4)))
& e1 = op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax46) ).
fof(f48,axiom,
~ ( e0 = op(e2,op(e2,e2))
& e4 = op(e2,e2)
& e3 = op(e2,op(e2,op(e2,e2)))
& e1 = op(op(e2,op(e2,e2)),op(e2,op(e2,e2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax48) ).
fof(f50,axiom,
~ ( e2 = op(e3,op(e3,e3))
& e0 = op(e3,e3)
& e4 = op(e3,op(e3,op(e3,e3)))
& e1 = op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax50) ).
fof(f52,axiom,
~ ( e0 = op(e3,op(e3,e3))
& e2 = op(e3,e3)
& e4 = op(e3,op(e3,op(e3,e3)))
& e1 = op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax52) ).
fof(f54,axiom,
~ ( e0 = op(e2,op(e2,e2))
& e3 = op(e2,e2)
& e4 = op(e2,op(e2,op(e2,e2)))
& e1 = op(op(e2,op(e2,e2)),op(e2,op(e2,e2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax54) ).
fof(f55,axiom,
~ ( e4 = op(e3,op(e3,e3))
& e1 = op(e3,e3)
& e0 = op(e3,op(e3,op(e3,e3)))
& e2 = op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax55) ).
fof(f60,axiom,
~ ( e1 = op(e3,op(e3,e3))
& e4 = op(e3,e3)
& e0 = op(e3,op(e3,op(e3,e3)))
& e2 = op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax60) ).
fof(f61,axiom,
~ ( e4 = op(e3,op(e3,e3))
& e0 = op(e3,e3)
& e1 = op(e3,op(e3,op(e3,e3)))
& e2 = op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax61) ).
fof(f64,axiom,
~ ( e0 = op(e4,op(e4,e4))
& e3 = op(e4,e4)
& e1 = op(e4,op(e4,op(e4,e4)))
& e2 = op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax64) ).
fof(f66,axiom,
~ ( e0 = op(e3,op(e3,e3))
& e4 = op(e3,e3)
& e1 = op(e3,op(e3,op(e3,e3)))
& e2 = op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax66) ).
fof(f74,axiom,
~ ( e1 = op(e3,op(e3,e3))
& e0 = op(e3,e3)
& e4 = op(e3,op(e3,op(e3,e3)))
& e2 = op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax74) ).
fof(f76,axiom,
~ ( e0 = op(e3,op(e3,e3))
& e1 = op(e3,e3)
& e4 = op(e3,op(e3,op(e3,e3)))
& e2 = op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax76) ).
fof(f79,axiom,
~ ( e4 = op(e2,op(e2,e2))
& e1 = op(e2,e2)
& e0 = op(e2,op(e2,op(e2,e2)))
& e3 = op(op(e2,op(e2,e2)),op(e2,op(e2,e2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax79) ).
fof(f91,axiom,
~ ( e4 = op(e1,op(e1,e1))
& e0 = op(e1,e1)
& e2 = op(e1,op(e1,op(e1,e1)))
& e3 = op(op(e1,op(e1,e1)),op(e1,op(e1,e1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax91) ).
fof(f103,axiom,
~ ( e3 = op(e2,op(e2,e2))
& e1 = op(e2,e2)
& e0 = op(e2,op(e2,op(e2,e2)))
& e4 = op(op(e2,op(e2,e2)),op(e2,op(e2,e2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax103) ).
fof(f104,axiom,
~ ( e2 = op(e3,op(e3,e3))
& e1 = op(e3,e3)
& e0 = op(e3,op(e3,op(e3,e3)))
& e4 = op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax104) ).
fof(f109,axiom,
~ ( e3 = op(e2,op(e2,e2))
& e0 = op(e2,e2)
& e1 = op(e2,op(e2,op(e2,e2)))
& e4 = op(op(e2,op(e2,e2)),op(e2,op(e2,e2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax109) ).
fof(f110,axiom,
~ ( e2 = op(e3,op(e3,e3))
& e0 = op(e3,e3)
& e1 = op(e3,op(e3,op(e3,e3)))
& e4 = op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax110) ).
fof(f112,axiom,
~ ( e0 = op(e3,op(e3,e3))
& e2 = op(e3,e3)
& e1 = op(e3,op(e3,op(e3,e3)))
& e4 = op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax112) ).
fof(f115,axiom,
~ ( e3 = op(e1,op(e1,e1))
& e0 = op(e1,e1)
& e2 = op(e1,op(e1,op(e1,e1)))
& e4 = op(op(e1,op(e1,e1)),op(e1,op(e1,e1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax115) ).
fof(f116,axiom,
~ ( e1 = op(e3,op(e3,e3))
& e0 = op(e3,e3)
& e2 = op(e3,op(e3,op(e3,e3)))
& e4 = op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax116) ).
fof(f118,axiom,
~ ( e0 = op(e3,op(e3,e3))
& e1 = op(e3,e3)
& e2 = op(e3,op(e3,op(e3,e3)))
& e4 = op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax118) ).
fof(f122,axiom,
~ ( e1 = op(e2,op(e2,e2))
& e0 = op(e2,e2)
& e3 = op(e2,op(e2,op(e2,e2)))
& e4 = op(op(e2,op(e2,e2)),op(e2,op(e2,e2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax122) ).
fof(f127,plain,
( e4 != op(e3,op(e3,e3))
| e2 != op(e3,e3)
| e1 != op(e3,op(e3,op(e3,e3)))
| e0 != op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
inference(ennf_transformation,[],[f7]) ).
fof(f128,plain,
( e3 != op(e4,op(e4,e4))
| e2 != op(e4,e4)
| e1 != op(e4,op(e4,op(e4,e4)))
| e0 != op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) ),
inference(ennf_transformation,[],[f8]) ).
fof(f131,plain,
( e3 != op(e2,op(e2,e2))
| e4 != op(e2,e2)
| e1 != op(e2,op(e2,op(e2,e2)))
| e0 != op(op(e2,op(e2,e2)),op(e2,op(e2,e2))) ),
inference(ennf_transformation,[],[f11]) ).
fof(f132,plain,
( e2 != op(e3,op(e3,e3))
| e4 != op(e3,e3)
| e1 != op(e3,op(e3,op(e3,e3)))
| e0 != op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
inference(ennf_transformation,[],[f12]) ).
fof(f133,plain,
( e4 != op(e3,op(e3,e3))
| e1 != op(e3,e3)
| e2 != op(e3,op(e3,op(e3,e3)))
| e0 != op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
inference(ennf_transformation,[],[f13]) ).
fof(f135,plain,
( e4 != op(e1,op(e1,e1))
| e3 != op(e1,e1)
| e2 != op(e1,op(e1,op(e1,e1)))
| e0 != op(op(e1,op(e1,e1)),op(e1,op(e1,e1))) ),
inference(ennf_transformation,[],[f15]) ).
fof(f138,plain,
( e1 != op(e3,op(e3,e3))
| e4 != op(e3,e3)
| e2 != op(e3,op(e3,op(e3,e3)))
| e0 != op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
inference(ennf_transformation,[],[f18]) ).
fof(f139,plain,
( e4 != op(e2,op(e2,e2))
| e1 != op(e2,e2)
| e3 != op(e2,op(e2,op(e2,e2)))
| e0 != op(op(e2,op(e2,e2)),op(e2,op(e2,e2))) ),
inference(ennf_transformation,[],[f19]) ).
fof(f144,plain,
( e1 != op(e2,op(e2,e2))
| e4 != op(e2,e2)
| e3 != op(e2,op(e2,op(e2,e2)))
| e0 != op(op(e2,op(e2,e2)),op(e2,op(e2,e2))) ),
inference(ennf_transformation,[],[f24]) ).
fof(f145,plain,
( e3 != op(e2,op(e2,e2))
| e1 != op(e2,e2)
| e4 != op(e2,op(e2,op(e2,e2)))
| e0 != op(op(e2,op(e2,e2)),op(e2,op(e2,e2))) ),
inference(ennf_transformation,[],[f25]) ).
fof(f146,plain,
( e2 != op(e3,op(e3,e3))
| e1 != op(e3,e3)
| e4 != op(e3,op(e3,op(e3,e3)))
| e0 != op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
inference(ennf_transformation,[],[f26]) ).
fof(f150,plain,
( e1 != op(e2,op(e2,e2))
| e3 != op(e2,e2)
| e4 != op(e2,op(e2,op(e2,e2)))
| e0 != op(op(e2,op(e2,e2)),op(e2,op(e2,e2))) ),
inference(ennf_transformation,[],[f30]) ).
fof(f151,plain,
( e4 != op(e3,op(e3,e3))
| e2 != op(e3,e3)
| e0 != op(e3,op(e3,op(e3,e3)))
| e1 != op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
inference(ennf_transformation,[],[f31]) ).
fof(f152,plain,
( e3 != op(e4,op(e4,e4))
| e2 != op(e4,e4)
| e0 != op(e4,op(e4,op(e4,e4)))
| e1 != op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) ),
inference(ennf_transformation,[],[f32]) ).
fof(f153,plain,
( e4 != op(e2,op(e2,e2))
| e3 != op(e2,e2)
| e0 != op(e2,op(e2,op(e2,e2)))
| e1 != op(op(e2,op(e2,e2)),op(e2,op(e2,e2))) ),
inference(ennf_transformation,[],[f33]) ).
fof(f156,plain,
( e2 != op(e3,op(e3,e3))
| e4 != op(e3,e3)
| e0 != op(e3,op(e3,op(e3,e3)))
| e1 != op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
inference(ennf_transformation,[],[f36]) ).
fof(f157,plain,
( e4 != op(e3,op(e3,e3))
| e0 != op(e3,e3)
| e2 != op(e3,op(e3,op(e3,e3)))
| e1 != op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
inference(ennf_transformation,[],[f37]) ).
fof(f161,plain,
( e3 != op(e0,op(e0,e0))
| op(e0,e0) != e4
| e2 != op(e0,op(e0,op(e0,e0)))
| e1 != op(op(e0,op(e0,e0)),op(e0,op(e0,e0))) ),
inference(ennf_transformation,[],[f41]) ).
fof(f162,plain,
( e0 != op(e3,op(e3,e3))
| e4 != op(e3,e3)
| e2 != op(e3,op(e3,op(e3,e3)))
| e1 != op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
inference(ennf_transformation,[],[f42]) ).
fof(f163,plain,
( e4 != op(e2,op(e2,e2))
| e0 != op(e2,e2)
| e3 != op(e2,op(e2,op(e2,e2)))
| e1 != op(op(e2,op(e2,e2)),op(e2,op(e2,e2))) ),
inference(ennf_transformation,[],[f43]) ).
fof(f164,plain,
( e2 != op(e4,op(e4,e4))
| e0 != op(e4,e4)
| e3 != op(e4,op(e4,op(e4,e4)))
| e1 != op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) ),
inference(ennf_transformation,[],[f44]) ).
fof(f166,plain,
( e0 != op(e4,op(e4,e4))
| e2 != op(e4,e4)
| e3 != op(e4,op(e4,op(e4,e4)))
| e1 != op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) ),
inference(ennf_transformation,[],[f46]) ).
fof(f168,plain,
( e0 != op(e2,op(e2,e2))
| e4 != op(e2,e2)
| e3 != op(e2,op(e2,op(e2,e2)))
| e1 != op(op(e2,op(e2,e2)),op(e2,op(e2,e2))) ),
inference(ennf_transformation,[],[f48]) ).
fof(f170,plain,
( e2 != op(e3,op(e3,e3))
| e0 != op(e3,e3)
| e4 != op(e3,op(e3,op(e3,e3)))
| e1 != op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
inference(ennf_transformation,[],[f50]) ).
fof(f172,plain,
( e0 != op(e3,op(e3,e3))
| e2 != op(e3,e3)
| e4 != op(e3,op(e3,op(e3,e3)))
| e1 != op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
inference(ennf_transformation,[],[f52]) ).
fof(f174,plain,
( e0 != op(e2,op(e2,e2))
| e3 != op(e2,e2)
| e4 != op(e2,op(e2,op(e2,e2)))
| e1 != op(op(e2,op(e2,e2)),op(e2,op(e2,e2))) ),
inference(ennf_transformation,[],[f54]) ).
fof(f175,plain,
( e4 != op(e3,op(e3,e3))
| e1 != op(e3,e3)
| e0 != op(e3,op(e3,op(e3,e3)))
| e2 != op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
inference(ennf_transformation,[],[f55]) ).
fof(f180,plain,
( e1 != op(e3,op(e3,e3))
| e4 != op(e3,e3)
| e0 != op(e3,op(e3,op(e3,e3)))
| e2 != op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
inference(ennf_transformation,[],[f60]) ).
fof(f181,plain,
( e4 != op(e3,op(e3,e3))
| e0 != op(e3,e3)
| e1 != op(e3,op(e3,op(e3,e3)))
| e2 != op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
inference(ennf_transformation,[],[f61]) ).
fof(f184,plain,
( e0 != op(e4,op(e4,e4))
| e3 != op(e4,e4)
| e1 != op(e4,op(e4,op(e4,e4)))
| e2 != op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) ),
inference(ennf_transformation,[],[f64]) ).
fof(f186,plain,
( e0 != op(e3,op(e3,e3))
| e4 != op(e3,e3)
| e1 != op(e3,op(e3,op(e3,e3)))
| e2 != op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
inference(ennf_transformation,[],[f66]) ).
fof(f194,plain,
( e1 != op(e3,op(e3,e3))
| e0 != op(e3,e3)
| e4 != op(e3,op(e3,op(e3,e3)))
| e2 != op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
inference(ennf_transformation,[],[f74]) ).
fof(f196,plain,
( e0 != op(e3,op(e3,e3))
| e1 != op(e3,e3)
| e4 != op(e3,op(e3,op(e3,e3)))
| e2 != op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
inference(ennf_transformation,[],[f76]) ).
fof(f199,plain,
( e4 != op(e2,op(e2,e2))
| e1 != op(e2,e2)
| e0 != op(e2,op(e2,op(e2,e2)))
| e3 != op(op(e2,op(e2,e2)),op(e2,op(e2,e2))) ),
inference(ennf_transformation,[],[f79]) ).
fof(f211,plain,
( e4 != op(e1,op(e1,e1))
| e0 != op(e1,e1)
| e2 != op(e1,op(e1,op(e1,e1)))
| e3 != op(op(e1,op(e1,e1)),op(e1,op(e1,e1))) ),
inference(ennf_transformation,[],[f91]) ).
fof(f223,plain,
( e3 != op(e2,op(e2,e2))
| e1 != op(e2,e2)
| e0 != op(e2,op(e2,op(e2,e2)))
| e4 != op(op(e2,op(e2,e2)),op(e2,op(e2,e2))) ),
inference(ennf_transformation,[],[f103]) ).
fof(f224,plain,
( e2 != op(e3,op(e3,e3))
| e1 != op(e3,e3)
| e0 != op(e3,op(e3,op(e3,e3)))
| e4 != op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
inference(ennf_transformation,[],[f104]) ).
fof(f229,plain,
( e3 != op(e2,op(e2,e2))
| e0 != op(e2,e2)
| e1 != op(e2,op(e2,op(e2,e2)))
| e4 != op(op(e2,op(e2,e2)),op(e2,op(e2,e2))) ),
inference(ennf_transformation,[],[f109]) ).
fof(f230,plain,
( e2 != op(e3,op(e3,e3))
| e0 != op(e3,e3)
| e1 != op(e3,op(e3,op(e3,e3)))
| e4 != op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
inference(ennf_transformation,[],[f110]) ).
fof(f232,plain,
( e0 != op(e3,op(e3,e3))
| e2 != op(e3,e3)
| e1 != op(e3,op(e3,op(e3,e3)))
| e4 != op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
inference(ennf_transformation,[],[f112]) ).
fof(f235,plain,
( e3 != op(e1,op(e1,e1))
| e0 != op(e1,e1)
| e2 != op(e1,op(e1,op(e1,e1)))
| e4 != op(op(e1,op(e1,e1)),op(e1,op(e1,e1))) ),
inference(ennf_transformation,[],[f115]) ).
fof(f236,plain,
( e1 != op(e3,op(e3,e3))
| e0 != op(e3,e3)
| e2 != op(e3,op(e3,op(e3,e3)))
| e4 != op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
inference(ennf_transformation,[],[f116]) ).
fof(f238,plain,
( e0 != op(e3,op(e3,e3))
| e1 != op(e3,e3)
| e2 != op(e3,op(e3,op(e3,e3)))
| e4 != op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
inference(ennf_transformation,[],[f118]) ).
fof(f242,plain,
( e1 != op(e2,op(e2,e2))
| e0 != op(e2,e2)
| e3 != op(e2,op(e2,op(e2,e2)))
| e4 != op(op(e2,op(e2,e2)),op(e2,op(e2,e2))) ),
inference(ennf_transformation,[],[f122]) ).
fof(f252,plain,
( ~ sP3
| ( op(e1,e4) != e4
& op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0 ) ),
inference(nnf_transformation,[],[f250]) ).
fof(f253,plain,
( ~ sP2
| ( op(e2,e4) != e4
& op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0 ) ),
inference(nnf_transformation,[],[f249]) ).
fof(f254,plain,
( ~ sP1
| ( op(e3,e4) != e4
& op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0 ) ),
inference(nnf_transformation,[],[f248]) ).
fof(f256,plain,
( e4 = op(e4,e4)
| e3 = op(e4,e4)
| e2 = op(e4,e4)
| e1 = op(e4,e4)
| e0 = op(e4,e4) ),
inference(cnf_transformation,[],[f1]) ).
fof(f257,plain,
( e4 = op(e4,e3)
| e3 = op(e4,e3)
| e2 = op(e4,e3)
| e1 = op(e4,e3)
| e0 = op(e4,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f258,plain,
( e4 = op(e4,e2)
| e3 = op(e4,e2)
| e2 = op(e4,e2)
| e1 = op(e4,e2)
| e0 = op(e4,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f260,plain,
( e4 = op(e4,e0)
| e3 = op(e4,e0)
| e2 = op(e4,e0)
| e1 = op(e4,e0)
| e0 = op(e4,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f261,plain,
( e4 = op(e3,e4)
| e3 = op(e3,e4)
| e2 = op(e3,e4)
| e1 = op(e3,e4)
| e0 = op(e3,e4) ),
inference(cnf_transformation,[],[f1]) ).
fof(f262,plain,
( e4 = op(e3,e3)
| e3 = op(e3,e3)
| e2 = op(e3,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f263,plain,
( e4 = op(e3,e2)
| e3 = op(e3,e2)
| e2 = op(e3,e2)
| e1 = op(e3,e2)
| e0 = op(e3,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f264,plain,
( e4 = op(e3,e1)
| e3 = op(e3,e1)
| e2 = op(e3,e1)
| e1 = op(e3,e1)
| e0 = op(e3,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f265,plain,
( e4 = op(e3,e0)
| e3 = op(e3,e0)
| e2 = op(e3,e0)
| e1 = op(e3,e0)
| e0 = op(e3,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f266,plain,
( e4 = op(e2,e4)
| e3 = op(e2,e4)
| e2 = op(e2,e4)
| e1 = op(e2,e4)
| e0 = op(e2,e4) ),
inference(cnf_transformation,[],[f1]) ).
fof(f267,plain,
( e4 = op(e2,e3)
| e3 = op(e2,e3)
| e2 = op(e2,e3)
| e1 = op(e2,e3)
| e0 = op(e2,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f268,plain,
( e4 = op(e2,e2)
| e3 = op(e2,e2)
| e2 = op(e2,e2)
| e1 = op(e2,e2)
| e0 = op(e2,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f269,plain,
( e4 = op(e2,e1)
| e3 = op(e2,e1)
| e2 = op(e2,e1)
| e1 = op(e2,e1)
| e0 = op(e2,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f270,plain,
( e4 = op(e2,e0)
| e3 = op(e2,e0)
| e2 = op(e2,e0)
| e1 = op(e2,e0)
| e0 = op(e2,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f271,plain,
( e4 = op(e1,e4)
| e3 = op(e1,e4)
| e2 = op(e1,e4)
| e1 = op(e1,e4)
| e0 = op(e1,e4) ),
inference(cnf_transformation,[],[f1]) ).
fof(f272,plain,
( e4 = op(e1,e3)
| e3 = op(e1,e3)
| e2 = op(e1,e3)
| e1 = op(e1,e3)
| e0 = op(e1,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f273,plain,
( e4 = op(e1,e2)
| e3 = op(e1,e2)
| e2 = op(e1,e2)
| e1 = op(e1,e2)
| e0 = op(e1,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f274,plain,
( e4 = op(e1,e1)
| e3 = op(e1,e1)
| e2 = op(e1,e1)
| e1 = op(e1,e1)
| e0 = op(e1,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f275,plain,
( e4 = op(e1,e0)
| e3 = op(e1,e0)
| e2 = op(e1,e0)
| e1 = op(e1,e0)
| e0 = op(e1,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f276,plain,
( e4 = op(e0,e4)
| e3 = op(e0,e4)
| e2 = op(e0,e4)
| e1 = op(e0,e4)
| e0 = op(e0,e4) ),
inference(cnf_transformation,[],[f1]) ).
fof(f277,plain,
( e4 = op(e0,e3)
| e3 = op(e0,e3)
| e2 = op(e0,e3)
| e1 = op(e0,e3)
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f278,plain,
( e4 = op(e0,e2)
| e3 = op(e0,e2)
| e2 = op(e0,e2)
| e1 = op(e0,e2)
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f279,plain,
( e4 = op(e0,e1)
| e3 = op(e0,e1)
| e2 = op(e0,e1)
| e1 = op(e0,e1)
| e0 = op(e0,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f280,plain,
( op(e0,e0) = e4
| op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f281,plain,
( e4 = op(e4,e4)
| e4 = op(e3,e4)
| e4 = op(e2,e4)
| e4 = op(e1,e4)
| e4 = op(e0,e4) ),
inference(cnf_transformation,[],[f2]) ).
fof(f282,plain,
( e4 = op(e4,e4)
| e4 = op(e4,e3)
| e4 = op(e4,e2)
| e4 = op(e4,e1)
| e4 = op(e4,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f283,plain,
( e3 = op(e4,e4)
| e3 = op(e3,e4)
| e3 = op(e2,e4)
| e3 = op(e1,e4)
| e3 = op(e0,e4) ),
inference(cnf_transformation,[],[f2]) ).
fof(f284,plain,
( e3 = op(e4,e4)
| e3 = op(e4,e3)
| e3 = op(e4,e2)
| e3 = op(e4,e1)
| e3 = op(e4,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f285,plain,
( e2 = op(e4,e4)
| e2 = op(e3,e4)
| e2 = op(e2,e4)
| e2 = op(e1,e4)
| e2 = op(e0,e4) ),
inference(cnf_transformation,[],[f2]) ).
fof(f286,plain,
( e2 = op(e4,e4)
| e2 = op(e4,e3)
| e2 = op(e4,e2)
| e2 = op(e4,e1)
| e2 = op(e4,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f287,plain,
( e1 = op(e4,e4)
| e1 = op(e3,e4)
| e1 = op(e2,e4)
| e1 = op(e1,e4)
| e1 = op(e0,e4) ),
inference(cnf_transformation,[],[f2]) ).
fof(f288,plain,
( e1 = op(e4,e4)
| e1 = op(e4,e3)
| e1 = op(e4,e2)
| e1 = op(e4,e1)
| e1 = op(e4,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f289,plain,
( e0 = op(e4,e4)
| e0 = op(e3,e4)
| e0 = op(e2,e4)
| e0 = op(e1,e4)
| e0 = op(e0,e4) ),
inference(cnf_transformation,[],[f2]) ).
fof(f290,plain,
( e0 = op(e4,e4)
| e0 = op(e4,e3)
| e0 = op(e4,e2)
| e0 = op(e4,e1)
| e0 = op(e4,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f291,plain,
( e4 = op(e4,e3)
| e4 = op(e3,e3)
| e4 = op(e2,e3)
| e4 = op(e1,e3)
| e4 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f292,plain,
( e4 = op(e3,e4)
| e4 = op(e3,e3)
| e4 = op(e3,e2)
| e4 = op(e3,e1)
| e4 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f293,plain,
( e3 = op(e4,e3)
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f294,plain,
( e3 = op(e3,e4)
| e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f295,plain,
( e2 = op(e4,e3)
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f296,plain,
( e2 = op(e3,e4)
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f297,plain,
( e1 = op(e4,e3)
| e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f298,plain,
( e1 = op(e3,e4)
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| e1 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f299,plain,
( e0 = op(e4,e3)
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f300,plain,
( e0 = op(e3,e4)
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e1)
| e0 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f301,plain,
( e4 = op(e4,e2)
| e4 = op(e3,e2)
| e4 = op(e2,e2)
| e4 = op(e1,e2)
| e4 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f302,plain,
( e4 = op(e2,e4)
| e4 = op(e2,e3)
| e4 = op(e2,e2)
| e4 = op(e2,e1)
| e4 = op(e2,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f303,plain,
( e3 = op(e4,e2)
| e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f304,plain,
( e3 = op(e2,e4)
| e3 = op(e2,e3)
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f305,plain,
( e2 = op(e4,e2)
| e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f306,plain,
( e2 = op(e2,e4)
| e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| e2 = op(e2,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f307,plain,
( e1 = op(e4,e2)
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f308,plain,
( e1 = op(e2,e4)
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f309,plain,
( e0 = op(e4,e2)
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f310,plain,
( e0 = op(e2,e4)
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f311,plain,
( e4 = op(e4,e1)
| e4 = op(e3,e1)
| e4 = op(e2,e1)
| e4 = op(e1,e1)
| e4 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f312,plain,
( e4 = op(e1,e4)
| e4 = op(e1,e3)
| e4 = op(e1,e2)
| e4 = op(e1,e1)
| e4 = op(e1,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f313,plain,
( e3 = op(e4,e1)
| e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f314,plain,
( e3 = op(e1,e4)
| e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f315,plain,
( e2 = op(e4,e1)
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f316,plain,
( e2 = op(e1,e4)
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f317,plain,
( e1 = op(e4,e1)
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f318,plain,
( e1 = op(e1,e4)
| e1 = op(e1,e3)
| e1 = op(e1,e2)
| e1 = op(e1,e1)
| e1 = op(e1,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f319,plain,
( e0 = op(e4,e1)
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f320,plain,
( e0 = op(e1,e4)
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e1)
| e0 = op(e1,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f321,plain,
( e4 = op(e4,e0)
| e4 = op(e3,e0)
| e4 = op(e2,e0)
| e4 = op(e1,e0)
| op(e0,e0) = e4 ),
inference(cnf_transformation,[],[f2]) ).
fof(f322,plain,
( e4 = op(e0,e4)
| e4 = op(e0,e3)
| e4 = op(e0,e2)
| e4 = op(e0,e1)
| op(e0,e0) = e4 ),
inference(cnf_transformation,[],[f2]) ).
fof(f323,plain,
( e3 = op(e4,e0)
| e3 = op(e3,e0)
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f2]) ).
fof(f324,plain,
( e3 = op(e0,e4)
| e3 = op(e0,e3)
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f2]) ).
fof(f325,plain,
( e2 = op(e4,e0)
| e2 = op(e3,e0)
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f2]) ).
fof(f326,plain,
( e2 = op(e0,e4)
| e2 = op(e0,e3)
| e2 = op(e0,e2)
| e2 = op(e0,e1)
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f2]) ).
fof(f327,plain,
( e1 = op(e4,e0)
| e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f2]) ).
fof(f328,plain,
( e1 = op(e0,e4)
| e1 = op(e0,e3)
| e1 = op(e0,e2)
| e1 = op(e0,e1)
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f2]) ).
fof(f329,plain,
( e0 = op(e4,e0)
| e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0)
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f330,plain,
( e0 = op(e0,e4)
| e0 = op(e0,e3)
| e0 = op(e0,e2)
| e0 = op(e0,e1)
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f331,plain,
e4 = op(op(e4,e4),op(e4,e4)),
inference(cnf_transformation,[],[f3]) ).
fof(f332,plain,
e4 = op(op(e3,e4),op(e4,e3)),
inference(cnf_transformation,[],[f3]) ).
fof(f333,plain,
e4 = op(op(e2,e4),op(e4,e2)),
inference(cnf_transformation,[],[f3]) ).
fof(f334,plain,
e4 = op(op(e1,e4),op(e4,e1)),
inference(cnf_transformation,[],[f3]) ).
fof(f335,plain,
e4 = op(op(e0,e4),op(e4,e0)),
inference(cnf_transformation,[],[f3]) ).
fof(f336,plain,
e3 = op(op(e4,e3),op(e3,e4)),
inference(cnf_transformation,[],[f3]) ).
fof(f337,plain,
e3 = op(op(e3,e3),op(e3,e3)),
inference(cnf_transformation,[],[f3]) ).
fof(f338,plain,
e3 = op(op(e2,e3),op(e3,e2)),
inference(cnf_transformation,[],[f3]) ).
fof(f339,plain,
e3 = op(op(e1,e3),op(e3,e1)),
inference(cnf_transformation,[],[f3]) ).
fof(f340,plain,
e3 = op(op(e0,e3),op(e3,e0)),
inference(cnf_transformation,[],[f3]) ).
fof(f341,plain,
e2 = op(op(e4,e2),op(e2,e4)),
inference(cnf_transformation,[],[f3]) ).
fof(f342,plain,
e2 = op(op(e3,e2),op(e2,e3)),
inference(cnf_transformation,[],[f3]) ).
fof(f343,plain,
e2 = op(op(e2,e2),op(e2,e2)),
inference(cnf_transformation,[],[f3]) ).
fof(f344,plain,
e2 = op(op(e1,e2),op(e2,e1)),
inference(cnf_transformation,[],[f3]) ).
fof(f345,plain,
e2 = op(op(e0,e2),op(e2,e0)),
inference(cnf_transformation,[],[f3]) ).
fof(f346,plain,
e1 = op(op(e4,e1),op(e1,e4)),
inference(cnf_transformation,[],[f3]) ).
fof(f347,plain,
e1 = op(op(e3,e1),op(e1,e3)),
inference(cnf_transformation,[],[f3]) ).
fof(f348,plain,
e1 = op(op(e2,e1),op(e1,e2)),
inference(cnf_transformation,[],[f3]) ).
fof(f349,plain,
e1 = op(op(e1,e1),op(e1,e1)),
inference(cnf_transformation,[],[f3]) ).
fof(f350,plain,
e1 = op(op(e0,e1),op(e1,e0)),
inference(cnf_transformation,[],[f3]) ).
fof(f351,plain,
e0 = op(op(e4,e0),op(e0,e4)),
inference(cnf_transformation,[],[f3]) ).
fof(f352,plain,
e0 = op(op(e3,e0),op(e0,e3)),
inference(cnf_transformation,[],[f3]) ).
fof(f353,plain,
e0 = op(op(e2,e0),op(e0,e2)),
inference(cnf_transformation,[],[f3]) ).
fof(f354,plain,
e0 = op(op(e1,e0),op(e0,e1)),
inference(cnf_transformation,[],[f3]) ).
fof(f355,plain,
e0 = op(op(e0,e0),op(e0,e0)),
inference(cnf_transformation,[],[f3]) ).
fof(f356,plain,
op(e4,e3) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f357,plain,
op(e4,e2) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f358,plain,
op(e4,e2) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f359,plain,
op(e4,e1) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f360,plain,
op(e4,e1) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f361,plain,
op(e4,e1) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f362,plain,
op(e4,e0) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f363,plain,
op(e4,e0) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f364,plain,
op(e4,e0) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f365,plain,
op(e4,e0) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f366,plain,
op(e3,e3) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f367,plain,
op(e3,e2) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f368,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f369,plain,
op(e3,e1) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f370,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f371,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f372,plain,
op(e3,e0) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f373,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f374,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f375,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f376,plain,
op(e2,e3) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f377,plain,
op(e2,e2) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f378,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f379,plain,
op(e2,e1) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f380,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f381,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f382,plain,
op(e2,e0) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f383,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f384,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f385,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f386,plain,
op(e1,e3) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f387,plain,
op(e1,e2) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f388,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f389,plain,
op(e1,e1) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f390,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f391,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f392,plain,
op(e1,e0) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f393,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f394,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f395,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f396,plain,
op(e0,e3) != op(e0,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f397,plain,
op(e0,e2) != op(e0,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f398,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f399,plain,
op(e0,e1) != op(e0,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f400,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f401,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f402,plain,
op(e0,e0) != op(e0,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f403,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f404,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f405,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f406,plain,
op(e3,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f407,plain,
op(e2,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f408,plain,
op(e2,e4) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f409,plain,
op(e1,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f410,plain,
op(e1,e4) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f411,plain,
op(e1,e4) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f412,plain,
op(e0,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f413,plain,
op(e0,e4) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f414,plain,
op(e0,e4) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f415,plain,
op(e0,e4) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f416,plain,
op(e3,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f417,plain,
op(e2,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f418,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f419,plain,
op(e1,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f420,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f421,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f422,plain,
op(e0,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f423,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f424,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f425,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f426,plain,
op(e3,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f427,plain,
op(e2,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f428,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f429,plain,
op(e1,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f430,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f431,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f432,plain,
op(e0,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f433,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f434,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f435,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f436,plain,
op(e3,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f437,plain,
op(e2,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f438,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f439,plain,
op(e1,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f440,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f441,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f442,plain,
op(e0,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f443,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f444,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f445,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f446,plain,
op(e3,e0) != op(e4,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f447,plain,
op(e2,e0) != op(e4,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f448,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f449,plain,
op(e1,e0) != op(e4,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f450,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f451,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f452,plain,
op(e0,e0) != op(e4,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f453,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f454,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f455,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f456,plain,
e3 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f457,plain,
e2 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f458,plain,
e2 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f459,plain,
e1 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f460,plain,
e1 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f461,plain,
e1 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f462,plain,
e0 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f463,plain,
e0 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f464,plain,
e0 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f465,plain,
e0 != e1,
inference(cnf_transformation,[],[f5]) ).
fof(f466,plain,
( ~ sP3
| e4 != op(e1,e4) ),
inference(cnf_transformation,[],[f252]) ).
fof(f467,plain,
( ~ sP3
| e3 != op(e1,e3) ),
inference(cnf_transformation,[],[f252]) ).
fof(f468,plain,
( ~ sP3
| e2 != op(e1,e2) ),
inference(cnf_transformation,[],[f252]) ).
fof(f469,plain,
( ~ sP3
| e1 != op(e1,e1) ),
inference(cnf_transformation,[],[f252]) ).
fof(f470,plain,
( ~ sP3
| e0 != op(e1,e0) ),
inference(cnf_transformation,[],[f252]) ).
fof(f471,plain,
( ~ sP2
| e4 != op(e2,e4) ),
inference(cnf_transformation,[],[f253]) ).
fof(f472,plain,
( ~ sP2
| e3 != op(e2,e3) ),
inference(cnf_transformation,[],[f253]) ).
fof(f473,plain,
( ~ sP2
| e2 != op(e2,e2) ),
inference(cnf_transformation,[],[f253]) ).
fof(f474,plain,
( ~ sP2
| e1 != op(e2,e1) ),
inference(cnf_transformation,[],[f253]) ).
fof(f476,plain,
( ~ sP1
| e4 != op(e3,e4) ),
inference(cnf_transformation,[],[f254]) ).
fof(f477,plain,
( ~ sP1
| e3 != op(e3,e3) ),
inference(cnf_transformation,[],[f254]) ).
fof(f478,plain,
( ~ sP1
| e2 != op(e3,e2) ),
inference(cnf_transformation,[],[f254]) ).
fof(f480,plain,
( ~ sP1
| e0 != op(e3,e0) ),
inference(cnf_transformation,[],[f254]) ).
fof(f486,plain,
( sP0
| sP1
| sP2
| sP3
| e4 != op(e0,e4) ),
inference(cnf_transformation,[],[f251]) ).
fof(f487,plain,
( sP0
| sP1
| sP2
| sP3
| e3 != op(e0,e3) ),
inference(cnf_transformation,[],[f251]) ).
fof(f488,plain,
( sP0
| sP1
| sP2
| sP3
| e2 != op(e0,e2) ),
inference(cnf_transformation,[],[f251]) ).
fof(f489,plain,
( sP0
| sP1
| sP2
| sP3
| e1 != op(e0,e1) ),
inference(cnf_transformation,[],[f251]) ).
fof(f490,plain,
( sP0
| sP1
| sP2
| sP3
| e0 != op(e0,e0) ),
inference(cnf_transformation,[],[f251]) ).
fof(f491,plain,
( e4 != op(e3,op(e3,e3))
| e2 != op(e3,e3)
| e1 != op(e3,op(e3,op(e3,e3)))
| e0 != op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
inference(cnf_transformation,[],[f127]) ).
fof(f492,plain,
( e3 != op(e4,op(e4,e4))
| e2 != op(e4,e4)
| e1 != op(e4,op(e4,op(e4,e4)))
| e0 != op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) ),
inference(cnf_transformation,[],[f128]) ).
fof(f495,plain,
( e3 != op(e2,op(e2,e2))
| e4 != op(e2,e2)
| e1 != op(e2,op(e2,op(e2,e2)))
| e0 != op(op(e2,op(e2,e2)),op(e2,op(e2,e2))) ),
inference(cnf_transformation,[],[f131]) ).
fof(f496,plain,
( e2 != op(e3,op(e3,e3))
| e4 != op(e3,e3)
| e1 != op(e3,op(e3,op(e3,e3)))
| e0 != op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
inference(cnf_transformation,[],[f132]) ).
fof(f497,plain,
( e4 != op(e3,op(e3,e3))
| e1 != op(e3,e3)
| e2 != op(e3,op(e3,op(e3,e3)))
| e0 != op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
inference(cnf_transformation,[],[f133]) ).
fof(f499,plain,
( e4 != op(e1,op(e1,e1))
| e3 != op(e1,e1)
| e2 != op(e1,op(e1,op(e1,e1)))
| e0 != op(op(e1,op(e1,e1)),op(e1,op(e1,e1))) ),
inference(cnf_transformation,[],[f135]) ).
fof(f502,plain,
( e1 != op(e3,op(e3,e3))
| e4 != op(e3,e3)
| e2 != op(e3,op(e3,op(e3,e3)))
| e0 != op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
inference(cnf_transformation,[],[f138]) ).
fof(f503,plain,
( e4 != op(e2,op(e2,e2))
| e1 != op(e2,e2)
| e3 != op(e2,op(e2,op(e2,e2)))
| e0 != op(op(e2,op(e2,e2)),op(e2,op(e2,e2))) ),
inference(cnf_transformation,[],[f139]) ).
fof(f508,plain,
( e1 != op(e2,op(e2,e2))
| e4 != op(e2,e2)
| e3 != op(e2,op(e2,op(e2,e2)))
| e0 != op(op(e2,op(e2,e2)),op(e2,op(e2,e2))) ),
inference(cnf_transformation,[],[f144]) ).
fof(f509,plain,
( e3 != op(e2,op(e2,e2))
| e1 != op(e2,e2)
| e4 != op(e2,op(e2,op(e2,e2)))
| e0 != op(op(e2,op(e2,e2)),op(e2,op(e2,e2))) ),
inference(cnf_transformation,[],[f145]) ).
fof(f510,plain,
( e2 != op(e3,op(e3,e3))
| e1 != op(e3,e3)
| e4 != op(e3,op(e3,op(e3,e3)))
| e0 != op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
inference(cnf_transformation,[],[f146]) ).
fof(f514,plain,
( e1 != op(e2,op(e2,e2))
| e3 != op(e2,e2)
| e4 != op(e2,op(e2,op(e2,e2)))
| e0 != op(op(e2,op(e2,e2)),op(e2,op(e2,e2))) ),
inference(cnf_transformation,[],[f150]) ).
fof(f515,plain,
( e4 != op(e3,op(e3,e3))
| e2 != op(e3,e3)
| e0 != op(e3,op(e3,op(e3,e3)))
| e1 != op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
inference(cnf_transformation,[],[f151]) ).
fof(f516,plain,
( e3 != op(e4,op(e4,e4))
| e2 != op(e4,e4)
| e0 != op(e4,op(e4,op(e4,e4)))
| e1 != op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) ),
inference(cnf_transformation,[],[f152]) ).
fof(f517,plain,
( e4 != op(e2,op(e2,e2))
| e3 != op(e2,e2)
| e0 != op(e2,op(e2,op(e2,e2)))
| e1 != op(op(e2,op(e2,e2)),op(e2,op(e2,e2))) ),
inference(cnf_transformation,[],[f153]) ).
fof(f520,plain,
( e2 != op(e3,op(e3,e3))
| e4 != op(e3,e3)
| e0 != op(e3,op(e3,op(e3,e3)))
| e1 != op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
inference(cnf_transformation,[],[f156]) ).
fof(f521,plain,
( e4 != op(e3,op(e3,e3))
| e0 != op(e3,e3)
| e2 != op(e3,op(e3,op(e3,e3)))
| e1 != op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
inference(cnf_transformation,[],[f157]) ).
fof(f525,plain,
( e3 != op(e0,op(e0,e0))
| op(e0,e0) != e4
| e2 != op(e0,op(e0,op(e0,e0)))
| e1 != op(op(e0,op(e0,e0)),op(e0,op(e0,e0))) ),
inference(cnf_transformation,[],[f161]) ).
fof(f526,plain,
( e0 != op(e3,op(e3,e3))
| e4 != op(e3,e3)
| e2 != op(e3,op(e3,op(e3,e3)))
| e1 != op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
inference(cnf_transformation,[],[f162]) ).
fof(f527,plain,
( e4 != op(e2,op(e2,e2))
| e0 != op(e2,e2)
| e3 != op(e2,op(e2,op(e2,e2)))
| e1 != op(op(e2,op(e2,e2)),op(e2,op(e2,e2))) ),
inference(cnf_transformation,[],[f163]) ).
fof(f528,plain,
( e2 != op(e4,op(e4,e4))
| e0 != op(e4,e4)
| e3 != op(e4,op(e4,op(e4,e4)))
| e1 != op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) ),
inference(cnf_transformation,[],[f164]) ).
fof(f530,plain,
( e0 != op(e4,op(e4,e4))
| e2 != op(e4,e4)
| e3 != op(e4,op(e4,op(e4,e4)))
| e1 != op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) ),
inference(cnf_transformation,[],[f166]) ).
fof(f532,plain,
( e0 != op(e2,op(e2,e2))
| e4 != op(e2,e2)
| e3 != op(e2,op(e2,op(e2,e2)))
| e1 != op(op(e2,op(e2,e2)),op(e2,op(e2,e2))) ),
inference(cnf_transformation,[],[f168]) ).
fof(f534,plain,
( e2 != op(e3,op(e3,e3))
| e0 != op(e3,e3)
| e4 != op(e3,op(e3,op(e3,e3)))
| e1 != op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
inference(cnf_transformation,[],[f170]) ).
fof(f536,plain,
( e0 != op(e3,op(e3,e3))
| e2 != op(e3,e3)
| e4 != op(e3,op(e3,op(e3,e3)))
| e1 != op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
inference(cnf_transformation,[],[f172]) ).
fof(f538,plain,
( e0 != op(e2,op(e2,e2))
| e3 != op(e2,e2)
| e4 != op(e2,op(e2,op(e2,e2)))
| e1 != op(op(e2,op(e2,e2)),op(e2,op(e2,e2))) ),
inference(cnf_transformation,[],[f174]) ).
fof(f539,plain,
( e4 != op(e3,op(e3,e3))
| e1 != op(e3,e3)
| e0 != op(e3,op(e3,op(e3,e3)))
| e2 != op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
inference(cnf_transformation,[],[f175]) ).
fof(f544,plain,
( e1 != op(e3,op(e3,e3))
| e4 != op(e3,e3)
| e0 != op(e3,op(e3,op(e3,e3)))
| e2 != op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
inference(cnf_transformation,[],[f180]) ).
fof(f545,plain,
( e4 != op(e3,op(e3,e3))
| e0 != op(e3,e3)
| e1 != op(e3,op(e3,op(e3,e3)))
| e2 != op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
inference(cnf_transformation,[],[f181]) ).
fof(f548,plain,
( e0 != op(e4,op(e4,e4))
| e3 != op(e4,e4)
| e1 != op(e4,op(e4,op(e4,e4)))
| e2 != op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) ),
inference(cnf_transformation,[],[f184]) ).
fof(f550,plain,
( e0 != op(e3,op(e3,e3))
| e4 != op(e3,e3)
| e1 != op(e3,op(e3,op(e3,e3)))
| e2 != op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
inference(cnf_transformation,[],[f186]) ).
fof(f558,plain,
( e1 != op(e3,op(e3,e3))
| e0 != op(e3,e3)
| e4 != op(e3,op(e3,op(e3,e3)))
| e2 != op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
inference(cnf_transformation,[],[f194]) ).
fof(f560,plain,
( e0 != op(e3,op(e3,e3))
| e1 != op(e3,e3)
| e4 != op(e3,op(e3,op(e3,e3)))
| e2 != op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
inference(cnf_transformation,[],[f196]) ).
fof(f563,plain,
( e4 != op(e2,op(e2,e2))
| e1 != op(e2,e2)
| e0 != op(e2,op(e2,op(e2,e2)))
| e3 != op(op(e2,op(e2,e2)),op(e2,op(e2,e2))) ),
inference(cnf_transformation,[],[f199]) ).
fof(f575,plain,
( e4 != op(e1,op(e1,e1))
| e0 != op(e1,e1)
| e2 != op(e1,op(e1,op(e1,e1)))
| e3 != op(op(e1,op(e1,e1)),op(e1,op(e1,e1))) ),
inference(cnf_transformation,[],[f211]) ).
fof(f587,plain,
( e3 != op(e2,op(e2,e2))
| e1 != op(e2,e2)
| e0 != op(e2,op(e2,op(e2,e2)))
| e4 != op(op(e2,op(e2,e2)),op(e2,op(e2,e2))) ),
inference(cnf_transformation,[],[f223]) ).
fof(f588,plain,
( e2 != op(e3,op(e3,e3))
| e1 != op(e3,e3)
| e0 != op(e3,op(e3,op(e3,e3)))
| e4 != op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
inference(cnf_transformation,[],[f224]) ).
fof(f593,plain,
( e3 != op(e2,op(e2,e2))
| e0 != op(e2,e2)
| e1 != op(e2,op(e2,op(e2,e2)))
| e4 != op(op(e2,op(e2,e2)),op(e2,op(e2,e2))) ),
inference(cnf_transformation,[],[f229]) ).
fof(f594,plain,
( e2 != op(e3,op(e3,e3))
| e0 != op(e3,e3)
| e1 != op(e3,op(e3,op(e3,e3)))
| e4 != op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
inference(cnf_transformation,[],[f230]) ).
fof(f596,plain,
( e0 != op(e3,op(e3,e3))
| e2 != op(e3,e3)
| e1 != op(e3,op(e3,op(e3,e3)))
| e4 != op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
inference(cnf_transformation,[],[f232]) ).
fof(f599,plain,
( e3 != op(e1,op(e1,e1))
| e0 != op(e1,e1)
| e2 != op(e1,op(e1,op(e1,e1)))
| e4 != op(op(e1,op(e1,e1)),op(e1,op(e1,e1))) ),
inference(cnf_transformation,[],[f235]) ).
fof(f600,plain,
( e1 != op(e3,op(e3,e3))
| e0 != op(e3,e3)
| e2 != op(e3,op(e3,op(e3,e3)))
| e4 != op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
inference(cnf_transformation,[],[f236]) ).
fof(f602,plain,
( e0 != op(e3,op(e3,e3))
| e1 != op(e3,e3)
| e2 != op(e3,op(e3,op(e3,e3)))
| e4 != op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
inference(cnf_transformation,[],[f238]) ).
fof(f606,plain,
( e1 != op(e2,op(e2,e2))
| e0 != op(e2,e2)
| e3 != op(e2,op(e2,op(e2,e2)))
| e4 != op(op(e2,op(e2,e2)),op(e2,op(e2,e2))) ),
inference(cnf_transformation,[],[f242]) ).
tcf(c_49,plain,
( ( op(e0,e0) = e4 )
| ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 )
| ( op(e0,e0) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(cnf_transformation,[],[f280]) ).
tcf(c_50,plain,
( ( op(e0,e1) = e4 )
| ( op(e0,e1) = e3 )
| ( op(e0,e1) = e2 )
| ( op(e0,e1) = e1 )
| ( op(e0,e1) = e0 ) ),
inference(cnf_transformation,[],[f279]) ).
tcf(c_51,plain,
( ( op(e0,e2) = e4 )
| ( op(e0,e2) = e3 )
| ( op(e0,e2) = e2 )
| ( op(e0,e2) = e1 )
| ( op(e0,e2) = e0 ) ),
inference(cnf_transformation,[],[f278]) ).
tcf(c_52,plain,
( ( op(e0,e3) = e4 )
| ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 )
| ( op(e0,e3) = e1 )
| ( op(e0,e3) = e0 ) ),
inference(cnf_transformation,[],[f277]) ).
tcf(c_53,plain,
( ( op(e0,e4) = e4 )
| ( op(e0,e4) = e3 )
| ( op(e0,e4) = e2 )
| ( op(e0,e4) = e1 )
| ( op(e0,e4) = e0 ) ),
inference(cnf_transformation,[],[f276]) ).
tcf(c_54,plain,
( ( op(e1,e0) = e4 )
| ( op(e1,e0) = e3 )
| ( op(e1,e0) = e2 )
| ( op(e1,e0) = e1 )
| ( op(e1,e0) = e0 ) ),
inference(cnf_transformation,[],[f275]) ).
tcf(c_55,plain,
( ( op(e1,e1) = e4 )
| ( op(e1,e1) = e3 )
| ( op(e1,e1) = e2 )
| ( op(e1,e1) = e1 )
| ( op(e1,e1) = e0 ) ),
inference(cnf_transformation,[],[f274]) ).
tcf(c_56,plain,
( ( op(e1,e2) = e4 )
| ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 )
| ( op(e1,e2) = e0 ) ),
inference(cnf_transformation,[],[f273]) ).
tcf(c_57,plain,
( ( op(e1,e3) = e4 )
| ( op(e1,e3) = e3 )
| ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 )
| ( op(e1,e3) = e0 ) ),
inference(cnf_transformation,[],[f272]) ).
tcf(c_58,plain,
( ( op(e1,e4) = e4 )
| ( op(e1,e4) = e3 )
| ( op(e1,e4) = e2 )
| ( op(e1,e4) = e1 )
| ( op(e1,e4) = e0 ) ),
inference(cnf_transformation,[],[f271]) ).
tcf(c_59,plain,
( ( op(e2,e0) = e4 )
| ( op(e2,e0) = e3 )
| ( op(e2,e0) = e2 )
| ( op(e2,e0) = e1 )
| ( op(e2,e0) = e0 ) ),
inference(cnf_transformation,[],[f270]) ).
tcf(c_60,plain,
( ( op(e2,e1) = e4 )
| ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e2,e1) = e1 )
| ( op(e2,e1) = e0 ) ),
inference(cnf_transformation,[],[f269]) ).
tcf(c_61,plain,
( ( op(e2,e2) = e4 )
| ( op(e2,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e2) = e1 )
| ( op(e2,e2) = e0 ) ),
inference(cnf_transformation,[],[f268]) ).
tcf(c_62,plain,
( ( op(e2,e3) = e4 )
| ( op(e2,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 )
| ( op(e2,e3) = e0 ) ),
inference(cnf_transformation,[],[f267]) ).
tcf(c_63,plain,
( ( op(e2,e4) = e4 )
| ( op(e2,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( op(e2,e4) = e1 )
| ( op(e2,e4) = e0 ) ),
inference(cnf_transformation,[],[f266]) ).
tcf(c_64,plain,
( ( op(e3,e0) = e4 )
| ( op(e3,e0) = e3 )
| ( op(e3,e0) = e2 )
| ( op(e3,e0) = e1 )
| ( op(e3,e0) = e0 ) ),
inference(cnf_transformation,[],[f265]) ).
tcf(c_65,plain,
( ( op(e3,e1) = e4 )
| ( op(e3,e1) = e3 )
| ( op(e3,e1) = e2 )
| ( op(e3,e1) = e1 )
| ( op(e3,e1) = e0 ) ),
inference(cnf_transformation,[],[f264]) ).
tcf(c_66,plain,
( ( op(e3,e2) = e4 )
| ( op(e3,e2) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 )
| ( op(e3,e2) = e0 ) ),
inference(cnf_transformation,[],[f263]) ).
tcf(c_67,plain,
( ( op(e3,e3) = e4 )
| ( op(e3,e3) = e3 )
| ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(cnf_transformation,[],[f262]) ).
tcf(c_68,plain,
( ( op(e3,e4) = e4 )
| ( op(e3,e4) = e3 )
| ( op(e3,e4) = e2 )
| ( op(e3,e4) = e1 )
| ( op(e3,e4) = e0 ) ),
inference(cnf_transformation,[],[f261]) ).
tcf(c_69,plain,
( ( op(e4,e0) = e4 )
| ( op(e4,e0) = e3 )
| ( op(e4,e0) = e2 )
| ( op(e4,e0) = e1 )
| ( op(e4,e0) = e0 ) ),
inference(cnf_transformation,[],[f260]) ).
tcf(c_71,plain,
( ( op(e4,e2) = e4 )
| ( op(e4,e2) = e3 )
| ( op(e4,e2) = e2 )
| ( op(e4,e2) = e1 )
| ( op(e4,e2) = e0 ) ),
inference(cnf_transformation,[],[f258]) ).
tcf(c_72,plain,
( ( op(e4,e3) = e4 )
| ( op(e4,e3) = e3 )
| ( op(e4,e3) = e2 )
| ( op(e4,e3) = e1 )
| ( op(e4,e3) = e0 ) ),
inference(cnf_transformation,[],[f257]) ).
tcf(c_73,plain,
( ( op(e4,e4) = e4 )
| ( op(e4,e4) = e3 )
| ( op(e4,e4) = e2 )
| ( op(e4,e4) = e1 )
| ( op(e4,e4) = e0 ) ),
inference(cnf_transformation,[],[f256]) ).
tcf(c_74,plain,
( ( op(e0,e4) = e0 )
| ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(cnf_transformation,[],[f330]) ).
tcf(c_75,plain,
( ( op(e4,e0) = e0 )
| ( op(e3,e0) = e0 )
| ( op(e2,e0) = e0 )
| ( op(e1,e0) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(cnf_transformation,[],[f329]) ).
tcf(c_76,plain,
( ( op(e0,e4) = e1 )
| ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(cnf_transformation,[],[f328]) ).
tcf(c_77,plain,
( ( op(e4,e0) = e1 )
| ( op(e3,e0) = e1 )
| ( op(e2,e0) = e1 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(cnf_transformation,[],[f327]) ).
tcf(c_78,plain,
( ( op(e0,e4) = e2 )
| ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(cnf_transformation,[],[f326]) ).
tcf(c_79,plain,
( ( op(e4,e0) = e2 )
| ( op(e3,e0) = e2 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(cnf_transformation,[],[f325]) ).
tcf(c_80,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(cnf_transformation,[],[f324]) ).
tcf(c_81,plain,
( ( op(e4,e0) = e3 )
| ( op(e3,e0) = e3 )
| ( op(e2,e0) = e3 )
| ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(cnf_transformation,[],[f323]) ).
tcf(c_82,plain,
( ( op(e0,e4) = e4 )
| ( op(e0,e3) = e4 )
| ( op(e0,e2) = e4 )
| ( op(e0,e1) = e4 )
| ( op(e0,e0) = e4 ) ),
inference(cnf_transformation,[],[f322]) ).
tcf(c_83,plain,
( ( op(e4,e0) = e4 )
| ( op(e3,e0) = e4 )
| ( op(e2,e0) = e4 )
| ( op(e1,e0) = e4 )
| ( op(e0,e0) = e4 ) ),
inference(cnf_transformation,[],[f321]) ).
tcf(c_84,plain,
( ( op(e1,e4) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(cnf_transformation,[],[f320]) ).
tcf(c_85,plain,
( ( op(e4,e1) = e0 )
| ( op(e3,e1) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(cnf_transformation,[],[f319]) ).
tcf(c_86,plain,
( ( op(e1,e4) = e1 )
| ( op(e1,e3) = e1 )
| ( op(e1,e2) = e1 )
| ( op(e1,e1) = e1 )
| ( op(e1,e0) = e1 ) ),
inference(cnf_transformation,[],[f318]) ).
tcf(c_87,plain,
( ( op(e4,e1) = e1 )
| ( op(e3,e1) = e1 )
| ( op(e2,e1) = e1 )
| ( op(e1,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(cnf_transformation,[],[f317]) ).
tcf(c_88,plain,
( ( op(e1,e4) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(cnf_transformation,[],[f316]) ).
tcf(c_89,plain,
( ( op(e4,e1) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(cnf_transformation,[],[f315]) ).
tcf(c_90,plain,
( ( op(e1,e4) = e3 )
| ( op(e1,e3) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e1,e1) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(cnf_transformation,[],[f314]) ).
tcf(c_91,plain,
( ( op(e4,e1) = e3 )
| ( op(e3,e1) = e3 )
| ( op(e2,e1) = e3 )
| ( op(e1,e1) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(cnf_transformation,[],[f313]) ).
tcf(c_92,plain,
( ( op(e1,e4) = e4 )
| ( op(e1,e3) = e4 )
| ( op(e1,e2) = e4 )
| ( op(e1,e1) = e4 )
| ( op(e1,e0) = e4 ) ),
inference(cnf_transformation,[],[f312]) ).
tcf(c_93,plain,
( ( op(e4,e1) = e4 )
| ( op(e3,e1) = e4 )
| ( op(e2,e1) = e4 )
| ( op(e1,e1) = e4 )
| ( op(e0,e1) = e4 ) ),
inference(cnf_transformation,[],[f311]) ).
tcf(c_94,plain,
( ( op(e2,e4) = e0 )
| ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(cnf_transformation,[],[f310]) ).
tcf(c_95,plain,
( ( op(e4,e2) = e0 )
| ( op(e3,e2) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e1,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(cnf_transformation,[],[f309]) ).
tcf(c_96,plain,
( ( op(e2,e4) = e1 )
| ( op(e2,e3) = e1 )
| ( op(e2,e2) = e1 )
| ( op(e2,e1) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(cnf_transformation,[],[f308]) ).
tcf(c_97,plain,
( ( op(e4,e2) = e1 )
| ( op(e3,e2) = e1 )
| ( op(e2,e2) = e1 )
| ( op(e1,e2) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(cnf_transformation,[],[f307]) ).
tcf(c_98,plain,
( ( op(e2,e4) = e2 )
| ( op(e2,e3) = e2 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e2 )
| ( op(e2,e0) = e2 ) ),
inference(cnf_transformation,[],[f306]) ).
tcf(c_99,plain,
( ( op(e4,e2) = e2 )
| ( op(e3,e2) = e2 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(cnf_transformation,[],[f305]) ).
tcf(c_100,plain,
( ( op(e2,e4) = e3 )
| ( op(e2,e3) = e3 )
| ( op(e2,e2) = e3 )
| ( op(e2,e1) = e3 )
| ( op(e2,e0) = e3 ) ),
inference(cnf_transformation,[],[f304]) ).
tcf(c_101,plain,
( ( op(e4,e2) = e3 )
| ( op(e3,e2) = e3 )
| ( op(e2,e2) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(cnf_transformation,[],[f303]) ).
tcf(c_102,plain,
( ( op(e2,e4) = e4 )
| ( op(e2,e3) = e4 )
| ( op(e2,e2) = e4 )
| ( op(e2,e1) = e4 )
| ( op(e2,e0) = e4 ) ),
inference(cnf_transformation,[],[f302]) ).
tcf(c_103,plain,
( ( op(e4,e2) = e4 )
| ( op(e3,e2) = e4 )
| ( op(e2,e2) = e4 )
| ( op(e1,e2) = e4 )
| ( op(e0,e2) = e4 ) ),
inference(cnf_transformation,[],[f301]) ).
tcf(c_104,plain,
( ( op(e3,e4) = e0 )
| ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(cnf_transformation,[],[f300]) ).
tcf(c_105,plain,
( ( op(e4,e3) = e0 )
| ( op(e3,e3) = e0 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(cnf_transformation,[],[f299]) ).
tcf(c_106,plain,
( ( op(e3,e4) = e1 )
| ( op(e3,e3) = e1 )
| ( op(e3,e2) = e1 )
| ( op(e3,e1) = e1 )
| ( op(e3,e0) = e1 ) ),
inference(cnf_transformation,[],[f298]) ).
tcf(c_107,plain,
( ( op(e4,e3) = e1 )
| ( op(e3,e3) = e1 )
| ( op(e2,e3) = e1 )
| ( op(e1,e3) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(cnf_transformation,[],[f297]) ).
tcf(c_108,plain,
( ( op(e3,e4) = e2 )
| ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(cnf_transformation,[],[f296]) ).
tcf(c_109,plain,
( ( op(e4,e3) = e2 )
| ( op(e3,e3) = e2 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(cnf_transformation,[],[f295]) ).
tcf(c_110,plain,
( ( op(e3,e4) = e3 )
| ( op(e3,e3) = e3 )
| ( op(e3,e2) = e3 )
| ( op(e3,e1) = e3 )
| ( op(e3,e0) = e3 ) ),
inference(cnf_transformation,[],[f294]) ).
tcf(c_111,plain,
( ( op(e4,e3) = e3 )
| ( op(e3,e3) = e3 )
| ( op(e2,e3) = e3 )
| ( op(e1,e3) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(cnf_transformation,[],[f293]) ).
tcf(c_112,plain,
( ( op(e3,e4) = e4 )
| ( op(e3,e3) = e4 )
| ( op(e3,e2) = e4 )
| ( op(e3,e1) = e4 )
| ( op(e3,e0) = e4 ) ),
inference(cnf_transformation,[],[f292]) ).
tcf(c_113,plain,
( ( op(e4,e3) = e4 )
| ( op(e3,e3) = e4 )
| ( op(e2,e3) = e4 )
| ( op(e1,e3) = e4 )
| ( op(e0,e3) = e4 ) ),
inference(cnf_transformation,[],[f291]) ).
tcf(c_114,plain,
( ( op(e4,e4) = e0 )
| ( op(e4,e3) = e0 )
| ( op(e4,e2) = e0 )
| ( op(e4,e1) = e0 )
| ( op(e4,e0) = e0 ) ),
inference(cnf_transformation,[],[f290]) ).
tcf(c_115,plain,
( ( op(e4,e4) = e0 )
| ( op(e3,e4) = e0 )
| ( op(e2,e4) = e0 )
| ( op(e1,e4) = e0 )
| ( op(e0,e4) = e0 ) ),
inference(cnf_transformation,[],[f289]) ).
tcf(c_116,plain,
( ( op(e4,e4) = e1 )
| ( op(e4,e3) = e1 )
| ( op(e4,e2) = e1 )
| ( op(e4,e1) = e1 )
| ( op(e4,e0) = e1 ) ),
inference(cnf_transformation,[],[f288]) ).
tcf(c_117,plain,
( ( op(e4,e4) = e1 )
| ( op(e3,e4) = e1 )
| ( op(e2,e4) = e1 )
| ( op(e1,e4) = e1 )
| ( op(e0,e4) = e1 ) ),
inference(cnf_transformation,[],[f287]) ).
tcf(c_118,plain,
( ( op(e4,e4) = e2 )
| ( op(e4,e3) = e2 )
| ( op(e4,e2) = e2 )
| ( op(e4,e1) = e2 )
| ( op(e4,e0) = e2 ) ),
inference(cnf_transformation,[],[f286]) ).
tcf(c_119,plain,
( ( op(e4,e4) = e2 )
| ( op(e3,e4) = e2 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e2 )
| ( op(e0,e4) = e2 ) ),
inference(cnf_transformation,[],[f285]) ).
tcf(c_120,plain,
( ( op(e4,e4) = e3 )
| ( op(e4,e3) = e3 )
| ( op(e4,e2) = e3 )
| ( op(e4,e1) = e3 )
| ( op(e4,e0) = e3 ) ),
inference(cnf_transformation,[],[f284]) ).
tcf(c_121,plain,
( ( op(e4,e4) = e3 )
| ( op(e3,e4) = e3 )
| ( op(e2,e4) = e3 )
| ( op(e1,e4) = e3 )
| ( op(e0,e4) = e3 ) ),
inference(cnf_transformation,[],[f283]) ).
tcf(c_122,plain,
( ( op(e4,e4) = e4 )
| ( op(e4,e3) = e4 )
| ( op(e4,e2) = e4 )
| ( op(e4,e1) = e4 )
| ( op(e4,e0) = e4 ) ),
inference(cnf_transformation,[],[f282]) ).
tcf(c_123,plain,
( ( op(e4,e4) = e4 )
| ( op(e3,e4) = e4 )
| ( op(e2,e4) = e4 )
| ( op(e1,e4) = e4 )
| ( op(e0,e4) = e4 ) ),
inference(cnf_transformation,[],[f281]) ).
tcf(c_124,plain,
op(op(e0,e0),op(e0,e0)) = e0,
inference(cnf_transformation,[],[f355]) ).
tcf(c_125,plain,
op(op(e1,e0),op(e0,e1)) = e0,
inference(cnf_transformation,[],[f354]) ).
tcf(c_126,plain,
op(op(e2,e0),op(e0,e2)) = e0,
inference(cnf_transformation,[],[f353]) ).
tcf(c_127,plain,
op(op(e3,e0),op(e0,e3)) = e0,
inference(cnf_transformation,[],[f352]) ).
tcf(c_128,plain,
op(op(e4,e0),op(e0,e4)) = e0,
inference(cnf_transformation,[],[f351]) ).
tcf(c_129,plain,
op(op(e0,e1),op(e1,e0)) = e1,
inference(cnf_transformation,[],[f350]) ).
tcf(c_130,plain,
op(op(e1,e1),op(e1,e1)) = e1,
inference(cnf_transformation,[],[f349]) ).
tcf(c_131,plain,
op(op(e2,e1),op(e1,e2)) = e1,
inference(cnf_transformation,[],[f348]) ).
tcf(c_132,plain,
op(op(e3,e1),op(e1,e3)) = e1,
inference(cnf_transformation,[],[f347]) ).
tcf(c_133,plain,
op(op(e4,e1),op(e1,e4)) = e1,
inference(cnf_transformation,[],[f346]) ).
tcf(c_134,plain,
op(op(e0,e2),op(e2,e0)) = e2,
inference(cnf_transformation,[],[f345]) ).
tcf(c_135,plain,
op(op(e1,e2),op(e2,e1)) = e2,
inference(cnf_transformation,[],[f344]) ).
tcf(c_136,plain,
op(op(e2,e2),op(e2,e2)) = e2,
inference(cnf_transformation,[],[f343]) ).
tcf(c_137,plain,
op(op(e3,e2),op(e2,e3)) = e2,
inference(cnf_transformation,[],[f342]) ).
tcf(c_138,plain,
op(op(e4,e2),op(e2,e4)) = e2,
inference(cnf_transformation,[],[f341]) ).
tcf(c_139,plain,
op(op(e0,e3),op(e3,e0)) = e3,
inference(cnf_transformation,[],[f340]) ).
tcf(c_140,plain,
op(op(e1,e3),op(e3,e1)) = e3,
inference(cnf_transformation,[],[f339]) ).
tcf(c_141,plain,
op(op(e2,e3),op(e3,e2)) = e3,
inference(cnf_transformation,[],[f338]) ).
tcf(c_142,plain,
op(op(e3,e3),op(e3,e3)) = e3,
inference(cnf_transformation,[],[f337]) ).
tcf(c_143,plain,
op(op(e4,e3),op(e3,e4)) = e3,
inference(cnf_transformation,[],[f336]) ).
tcf(c_144,plain,
op(op(e0,e4),op(e4,e0)) = e4,
inference(cnf_transformation,[],[f335]) ).
tcf(c_145,plain,
op(op(e1,e4),op(e4,e1)) = e4,
inference(cnf_transformation,[],[f334]) ).
tcf(c_146,plain,
op(op(e2,e4),op(e4,e2)) = e4,
inference(cnf_transformation,[],[f333]) ).
tcf(c_147,plain,
op(op(e3,e4),op(e4,e3)) = e4,
inference(cnf_transformation,[],[f332]) ).
tcf(c_148,plain,
op(op(e4,e4),op(e4,e4)) = e4,
inference(cnf_transformation,[],[f331]) ).
tcf(c_149,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[],[f455]) ).
tcf(c_150,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[],[f454]) ).
tcf(c_151,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[],[f453]) ).
tcf(c_152,plain,
op(e0,e0) != op(e4,e0),
inference(cnf_transformation,[],[f452]) ).
tcf(c_153,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[],[f451]) ).
tcf(c_154,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[],[f450]) ).
tcf(c_155,plain,
op(e1,e0) != op(e4,e0),
inference(cnf_transformation,[],[f449]) ).
tcf(c_156,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[],[f448]) ).
tcf(c_157,plain,
op(e2,e0) != op(e4,e0),
inference(cnf_transformation,[],[f447]) ).
tcf(c_158,plain,
op(e3,e0) != op(e4,e0),
inference(cnf_transformation,[],[f446]) ).
tcf(c_159,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[],[f445]) ).
tcf(c_160,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[],[f444]) ).
tcf(c_161,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[],[f443]) ).
tcf(c_162,plain,
op(e0,e1) != op(e4,e1),
inference(cnf_transformation,[],[f442]) ).
tcf(c_163,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[],[f441]) ).
tcf(c_164,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[],[f440]) ).
tcf(c_165,plain,
op(e1,e1) != op(e4,e1),
inference(cnf_transformation,[],[f439]) ).
tcf(c_166,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[],[f438]) ).
tcf(c_167,plain,
op(e2,e1) != op(e4,e1),
inference(cnf_transformation,[],[f437]) ).
tcf(c_168,plain,
op(e3,e1) != op(e4,e1),
inference(cnf_transformation,[],[f436]) ).
tcf(c_169,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[],[f435]) ).
tcf(c_170,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[],[f434]) ).
tcf(c_171,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[],[f433]) ).
tcf(c_172,plain,
op(e0,e2) != op(e4,e2),
inference(cnf_transformation,[],[f432]) ).
tcf(c_173,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[],[f431]) ).
tcf(c_174,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[],[f430]) ).
tcf(c_175,plain,
op(e1,e2) != op(e4,e2),
inference(cnf_transformation,[],[f429]) ).
tcf(c_176,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[],[f428]) ).
tcf(c_177,plain,
op(e2,e2) != op(e4,e2),
inference(cnf_transformation,[],[f427]) ).
tcf(c_178,plain,
op(e3,e2) != op(e4,e2),
inference(cnf_transformation,[],[f426]) ).
tcf(c_179,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[],[f425]) ).
tcf(c_180,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[],[f424]) ).
tcf(c_181,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[],[f423]) ).
tcf(c_182,plain,
op(e0,e3) != op(e4,e3),
inference(cnf_transformation,[],[f422]) ).
tcf(c_183,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[],[f421]) ).
tcf(c_184,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[],[f420]) ).
tcf(c_185,plain,
op(e1,e3) != op(e4,e3),
inference(cnf_transformation,[],[f419]) ).
tcf(c_186,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[],[f418]) ).
tcf(c_187,plain,
op(e2,e3) != op(e4,e3),
inference(cnf_transformation,[],[f417]) ).
tcf(c_188,plain,
op(e3,e3) != op(e4,e3),
inference(cnf_transformation,[],[f416]) ).
tcf(c_189,plain,
op(e0,e4) != op(e1,e4),
inference(cnf_transformation,[],[f415]) ).
tcf(c_190,plain,
op(e0,e4) != op(e2,e4),
inference(cnf_transformation,[],[f414]) ).
tcf(c_191,plain,
op(e0,e4) != op(e3,e4),
inference(cnf_transformation,[],[f413]) ).
tcf(c_192,plain,
op(e0,e4) != op(e4,e4),
inference(cnf_transformation,[],[f412]) ).
tcf(c_193,plain,
op(e1,e4) != op(e2,e4),
inference(cnf_transformation,[],[f411]) ).
tcf(c_194,plain,
op(e1,e4) != op(e3,e4),
inference(cnf_transformation,[],[f410]) ).
tcf(c_195,plain,
op(e1,e4) != op(e4,e4),
inference(cnf_transformation,[],[f409]) ).
tcf(c_196,plain,
op(e2,e4) != op(e3,e4),
inference(cnf_transformation,[],[f408]) ).
tcf(c_197,plain,
op(e2,e4) != op(e4,e4),
inference(cnf_transformation,[],[f407]) ).
tcf(c_198,plain,
op(e3,e4) != op(e4,e4),
inference(cnf_transformation,[],[f406]) ).
tcf(c_199,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[],[f405]) ).
tcf(c_200,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[],[f404]) ).
tcf(c_201,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[],[f403]) ).
tcf(c_202,plain,
op(e0,e0) != op(e0,e4),
inference(cnf_transformation,[],[f402]) ).
tcf(c_203,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[],[f401]) ).
tcf(c_204,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[],[f400]) ).
tcf(c_205,plain,
op(e0,e1) != op(e0,e4),
inference(cnf_transformation,[],[f399]) ).
tcf(c_206,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[],[f398]) ).
tcf(c_207,plain,
op(e0,e2) != op(e0,e4),
inference(cnf_transformation,[],[f397]) ).
tcf(c_208,plain,
op(e0,e3) != op(e0,e4),
inference(cnf_transformation,[],[f396]) ).
tcf(c_209,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[],[f395]) ).
tcf(c_210,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[],[f394]) ).
tcf(c_211,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[],[f393]) ).
tcf(c_212,plain,
op(e1,e0) != op(e1,e4),
inference(cnf_transformation,[],[f392]) ).
tcf(c_213,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[],[f391]) ).
tcf(c_214,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[],[f390]) ).
tcf(c_215,plain,
op(e1,e1) != op(e1,e4),
inference(cnf_transformation,[],[f389]) ).
tcf(c_216,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[],[f388]) ).
tcf(c_217,plain,
op(e1,e2) != op(e1,e4),
inference(cnf_transformation,[],[f387]) ).
tcf(c_218,plain,
op(e1,e3) != op(e1,e4),
inference(cnf_transformation,[],[f386]) ).
tcf(c_219,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f385]) ).
tcf(c_220,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[],[f384]) ).
tcf(c_221,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[],[f383]) ).
tcf(c_222,plain,
op(e2,e0) != op(e2,e4),
inference(cnf_transformation,[],[f382]) ).
tcf(c_223,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[],[f381]) ).
tcf(c_224,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[],[f380]) ).
tcf(c_225,plain,
op(e2,e1) != op(e2,e4),
inference(cnf_transformation,[],[f379]) ).
tcf(c_226,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[],[f378]) ).
tcf(c_227,plain,
op(e2,e2) != op(e2,e4),
inference(cnf_transformation,[],[f377]) ).
tcf(c_228,plain,
op(e2,e3) != op(e2,e4),
inference(cnf_transformation,[],[f376]) ).
tcf(c_229,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[],[f375]) ).
tcf(c_230,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f374]) ).
tcf(c_231,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[],[f373]) ).
tcf(c_232,plain,
op(e3,e0) != op(e3,e4),
inference(cnf_transformation,[],[f372]) ).
tcf(c_233,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[],[f371]) ).
tcf(c_234,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[],[f370]) ).
tcf(c_235,plain,
op(e3,e1) != op(e3,e4),
inference(cnf_transformation,[],[f369]) ).
tcf(c_236,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[],[f368]) ).
tcf(c_237,plain,
op(e3,e2) != op(e3,e4),
inference(cnf_transformation,[],[f367]) ).
tcf(c_238,plain,
op(e3,e3) != op(e3,e4),
inference(cnf_transformation,[],[f366]) ).
tcf(c_239,plain,
op(e4,e0) != op(e4,e1),
inference(cnf_transformation,[],[f365]) ).
tcf(c_240,plain,
op(e4,e0) != op(e4,e2),
inference(cnf_transformation,[],[f364]) ).
tcf(c_241,plain,
op(e4,e0) != op(e4,e3),
inference(cnf_transformation,[],[f363]) ).
tcf(c_242,plain,
op(e4,e0) != op(e4,e4),
inference(cnf_transformation,[],[f362]) ).
tcf(c_243,plain,
op(e4,e1) != op(e4,e2),
inference(cnf_transformation,[],[f361]) ).
tcf(c_244,plain,
op(e4,e1) != op(e4,e3),
inference(cnf_transformation,[],[f360]) ).
tcf(c_245,plain,
op(e4,e1) != op(e4,e4),
inference(cnf_transformation,[],[f359]) ).
tcf(c_246,plain,
op(e4,e2) != op(e4,e3),
inference(cnf_transformation,[],[f358]) ).
tcf(c_247,plain,
op(e4,e2) != op(e4,e4),
inference(cnf_transformation,[],[f357]) ).
tcf(c_248,plain,
op(e4,e3) != op(e4,e4),
inference(cnf_transformation,[],[f356]) ).
tcf(c_249,plain,
e0 != e1,
inference(cnf_transformation,[],[f465]) ).
tcf(c_250,plain,
e0 != e2,
inference(cnf_transformation,[],[f464]) ).
tcf(c_251,plain,
e0 != e3,
inference(cnf_transformation,[],[f463]) ).
tcf(c_252,plain,
e0 != e4,
inference(cnf_transformation,[],[f462]) ).
tcf(c_253,plain,
e1 != e2,
inference(cnf_transformation,[],[f461]) ).
tcf(c_254,plain,
e1 != e3,
inference(cnf_transformation,[],[f460]) ).
tcf(c_255,plain,
e1 != e4,
inference(cnf_transformation,[],[f459]) ).
tcf(c_256,plain,
e2 != e3,
inference(cnf_transformation,[],[f458]) ).
tcf(c_257,plain,
e2 != e4,
inference(cnf_transformation,[],[f457]) ).
tcf(c_258,plain,
e3 != e4,
inference(cnf_transformation,[],[f456]) ).
tcf(c_259,plain,
( ~ sP3
| ( op(e1,e0) != e0 ) ),
inference(cnf_transformation,[],[f470]) ).
tcf(c_260,plain,
( ~ sP3
| ( op(e1,e1) != e1 ) ),
inference(cnf_transformation,[],[f469]) ).
tcf(c_261,plain,
( ~ sP3
| ( op(e1,e2) != e2 ) ),
inference(cnf_transformation,[],[f468]) ).
tcf(c_262,plain,
( ~ sP3
| ( op(e1,e3) != e3 ) ),
inference(cnf_transformation,[],[f467]) ).
tcf(c_263,plain,
( ~ sP3
| ( op(e1,e4) != e4 ) ),
inference(cnf_transformation,[],[f466]) ).
tcf(c_265,plain,
( ~ sP2
| ( op(e2,e1) != e1 ) ),
inference(cnf_transformation,[],[f474]) ).
tcf(c_266,plain,
( ~ sP2
| ( op(e2,e2) != e2 ) ),
inference(cnf_transformation,[],[f473]) ).
tcf(c_267,plain,
( ~ sP2
| ( op(e2,e3) != e3 ) ),
inference(cnf_transformation,[],[f472]) ).
tcf(c_268,plain,
( ~ sP2
| ( op(e2,e4) != e4 ) ),
inference(cnf_transformation,[],[f471]) ).
tcf(c_269,plain,
( ~ sP1
| ( op(e3,e0) != e0 ) ),
inference(cnf_transformation,[],[f480]) ).
tcf(c_271,plain,
( ~ sP1
| ( op(e3,e2) != e2 ) ),
inference(cnf_transformation,[],[f478]) ).
tcf(c_272,plain,
( ~ sP1
| ( op(e3,e3) != e3 ) ),
inference(cnf_transformation,[],[f477]) ).
tcf(c_273,plain,
( ~ sP1
| ( op(e3,e4) != e4 ) ),
inference(cnf_transformation,[],[f476]) ).
tcf(c_279,plain,
( sP0
| sP1
| sP2
| sP3
| ( op(e0,e0) != e0 ) ),
inference(cnf_transformation,[],[f490]) ).
tcf(c_280,plain,
( sP0
| sP1
| sP2
| sP3
| ( op(e0,e1) != e1 ) ),
inference(cnf_transformation,[],[f489]) ).
tcf(c_281,plain,
( sP0
| sP1
| sP2
| sP3
| ( op(e0,e2) != e2 ) ),
inference(cnf_transformation,[],[f488]) ).
tcf(c_282,plain,
( sP0
| sP1
| sP2
| sP3
| ( op(e0,e3) != e3 ) ),
inference(cnf_transformation,[],[f487]) ).
tcf(c_283,plain,
( sP0
| sP1
| sP2
| sP3
| ( op(e0,e4) != e4 ) ),
inference(cnf_transformation,[],[f486]) ).
tcf(c_284,plain,
( ( op(e3,e3) != e2 )
| ( op(e3,op(e3,e3)) != e4 )
| ( op(e3,op(e3,op(e3,e3))) != e1 )
| ( op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) != e0 ) ),
inference(cnf_transformation,[],[f491]) ).
tcf(c_285,plain,
( ( op(e4,e4) != e2 )
| ( op(e4,op(e4,e4)) != e3 )
| ( op(e4,op(e4,op(e4,e4))) != e1 )
| ( op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) != e0 ) ),
inference(cnf_transformation,[],[f492]) ).
tcf(c_288,plain,
( ( op(e2,e2) != e4 )
| ( op(e2,op(e2,e2)) != e3 )
| ( op(e2,op(e2,op(e2,e2))) != e1 )
| ( op(op(e2,op(e2,e2)),op(e2,op(e2,e2))) != e0 ) ),
inference(cnf_transformation,[],[f495]) ).
tcf(c_289,plain,
( ( op(e3,e3) != e4 )
| ( op(e3,op(e3,e3)) != e2 )
| ( op(e3,op(e3,op(e3,e3))) != e1 )
| ( op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) != e0 ) ),
inference(cnf_transformation,[],[f496]) ).
tcf(c_290,plain,
( ( op(e3,e3) != e1 )
| ( op(e3,op(e3,e3)) != e4 )
| ( op(e3,op(e3,op(e3,e3))) != e2 )
| ( op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) != e0 ) ),
inference(cnf_transformation,[],[f497]) ).
tcf(c_292,plain,
( ( op(e1,e1) != e3 )
| ( op(e1,op(e1,e1)) != e4 )
| ( op(e1,op(e1,op(e1,e1))) != e2 )
| ( op(op(e1,op(e1,e1)),op(e1,op(e1,e1))) != e0 ) ),
inference(cnf_transformation,[],[f499]) ).
tcf(c_295,plain,
( ( op(e3,e3) != e4 )
| ( op(e3,op(e3,e3)) != e1 )
| ( op(e3,op(e3,op(e3,e3))) != e2 )
| ( op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) != e0 ) ),
inference(cnf_transformation,[],[f502]) ).
tcf(c_296,plain,
( ( op(e2,e2) != e1 )
| ( op(e2,op(e2,e2)) != e4 )
| ( op(e2,op(e2,op(e2,e2))) != e3 )
| ( op(op(e2,op(e2,e2)),op(e2,op(e2,e2))) != e0 ) ),
inference(cnf_transformation,[],[f503]) ).
tcf(c_301,plain,
( ( op(e2,e2) != e4 )
| ( op(e2,op(e2,e2)) != e1 )
| ( op(e2,op(e2,op(e2,e2))) != e3 )
| ( op(op(e2,op(e2,e2)),op(e2,op(e2,e2))) != e0 ) ),
inference(cnf_transformation,[],[f508]) ).
tcf(c_302,plain,
( ( op(e2,e2) != e1 )
| ( op(e2,op(e2,e2)) != e3 )
| ( op(e2,op(e2,op(e2,e2))) != e4 )
| ( op(op(e2,op(e2,e2)),op(e2,op(e2,e2))) != e0 ) ),
inference(cnf_transformation,[],[f509]) ).
tcf(c_303,plain,
( ( op(e3,e3) != e1 )
| ( op(e3,op(e3,e3)) != e2 )
| ( op(e3,op(e3,op(e3,e3))) != e4 )
| ( op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) != e0 ) ),
inference(cnf_transformation,[],[f510]) ).
tcf(c_307,plain,
( ( op(e2,e2) != e3 )
| ( op(e2,op(e2,e2)) != e1 )
| ( op(e2,op(e2,op(e2,e2))) != e4 )
| ( op(op(e2,op(e2,e2)),op(e2,op(e2,e2))) != e0 ) ),
inference(cnf_transformation,[],[f514]) ).
tcf(c_308,plain,
( ( op(e3,e3) != e2 )
| ( op(e3,op(e3,e3)) != e4 )
| ( op(e3,op(e3,op(e3,e3))) != e0 )
| ( op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) != e1 ) ),
inference(cnf_transformation,[],[f515]) ).
tcf(c_309,plain,
( ( op(e4,e4) != e2 )
| ( op(e4,op(e4,e4)) != e3 )
| ( op(e4,op(e4,op(e4,e4))) != e0 )
| ( op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) != e1 ) ),
inference(cnf_transformation,[],[f516]) ).
tcf(c_310,plain,
( ( op(e2,e2) != e3 )
| ( op(e2,op(e2,e2)) != e4 )
| ( op(e2,op(e2,op(e2,e2))) != e0 )
| ( op(op(e2,op(e2,e2)),op(e2,op(e2,e2))) != e1 ) ),
inference(cnf_transformation,[],[f517]) ).
tcf(c_313,plain,
( ( op(e3,e3) != e4 )
| ( op(e3,op(e3,e3)) != e2 )
| ( op(e3,op(e3,op(e3,e3))) != e0 )
| ( op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) != e1 ) ),
inference(cnf_transformation,[],[f520]) ).
tcf(c_314,plain,
( ( op(e3,e3) != e0 )
| ( op(e3,op(e3,e3)) != e4 )
| ( op(e3,op(e3,op(e3,e3))) != e2 )
| ( op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) != e1 ) ),
inference(cnf_transformation,[],[f521]) ).
tcf(c_318,plain,
( ( op(e0,e0) != e4 )
| ( op(e0,op(e0,e0)) != e3 )
| ( op(e0,op(e0,op(e0,e0))) != e2 )
| ( op(op(e0,op(e0,e0)),op(e0,op(e0,e0))) != e1 ) ),
inference(cnf_transformation,[],[f525]) ).
tcf(c_319,plain,
( ( op(e3,e3) != e4 )
| ( op(e3,op(e3,e3)) != e0 )
| ( op(e3,op(e3,op(e3,e3))) != e2 )
| ( op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) != e1 ) ),
inference(cnf_transformation,[],[f526]) ).
tcf(c_320,plain,
( ( op(e2,e2) != e0 )
| ( op(e2,op(e2,e2)) != e4 )
| ( op(e2,op(e2,op(e2,e2))) != e3 )
| ( op(op(e2,op(e2,e2)),op(e2,op(e2,e2))) != e1 ) ),
inference(cnf_transformation,[],[f527]) ).
tcf(c_321,plain,
( ( op(e4,e4) != e0 )
| ( op(e4,op(e4,e4)) != e2 )
| ( op(e4,op(e4,op(e4,e4))) != e3 )
| ( op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) != e1 ) ),
inference(cnf_transformation,[],[f528]) ).
tcf(c_323,plain,
( ( op(e4,e4) != e2 )
| ( op(e4,op(e4,e4)) != e0 )
| ( op(e4,op(e4,op(e4,e4))) != e3 )
| ( op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) != e1 ) ),
inference(cnf_transformation,[],[f530]) ).
tcf(c_325,plain,
( ( op(e2,e2) != e4 )
| ( op(e2,op(e2,e2)) != e0 )
| ( op(e2,op(e2,op(e2,e2))) != e3 )
| ( op(op(e2,op(e2,e2)),op(e2,op(e2,e2))) != e1 ) ),
inference(cnf_transformation,[],[f532]) ).
tcf(c_327,plain,
( ( op(e3,e3) != e0 )
| ( op(e3,op(e3,e3)) != e2 )
| ( op(e3,op(e3,op(e3,e3))) != e4 )
| ( op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) != e1 ) ),
inference(cnf_transformation,[],[f534]) ).
tcf(c_329,plain,
( ( op(e3,e3) != e2 )
| ( op(e3,op(e3,e3)) != e0 )
| ( op(e3,op(e3,op(e3,e3))) != e4 )
| ( op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) != e1 ) ),
inference(cnf_transformation,[],[f536]) ).
tcf(c_331,plain,
( ( op(e2,e2) != e3 )
| ( op(e2,op(e2,e2)) != e0 )
| ( op(e2,op(e2,op(e2,e2))) != e4 )
| ( op(op(e2,op(e2,e2)),op(e2,op(e2,e2))) != e1 ) ),
inference(cnf_transformation,[],[f538]) ).
tcf(c_332,plain,
( ( op(e3,e3) != e1 )
| ( op(e3,op(e3,e3)) != e4 )
| ( op(e3,op(e3,op(e3,e3))) != e0 )
| ( op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) != e2 ) ),
inference(cnf_transformation,[],[f539]) ).
tcf(c_337,plain,
( ( op(e3,e3) != e4 )
| ( op(e3,op(e3,e3)) != e1 )
| ( op(e3,op(e3,op(e3,e3))) != e0 )
| ( op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) != e2 ) ),
inference(cnf_transformation,[],[f544]) ).
tcf(c_338,plain,
( ( op(e3,e3) != e0 )
| ( op(e3,op(e3,e3)) != e4 )
| ( op(e3,op(e3,op(e3,e3))) != e1 )
| ( op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) != e2 ) ),
inference(cnf_transformation,[],[f545]) ).
tcf(c_341,plain,
( ( op(e4,e4) != e3 )
| ( op(e4,op(e4,e4)) != e0 )
| ( op(e4,op(e4,op(e4,e4))) != e1 )
| ( op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) != e2 ) ),
inference(cnf_transformation,[],[f548]) ).
tcf(c_343,plain,
( ( op(e3,e3) != e4 )
| ( op(e3,op(e3,e3)) != e0 )
| ( op(e3,op(e3,op(e3,e3))) != e1 )
| ( op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) != e2 ) ),
inference(cnf_transformation,[],[f550]) ).
tcf(c_351,plain,
( ( op(e3,e3) != e0 )
| ( op(e3,op(e3,e3)) != e1 )
| ( op(e3,op(e3,op(e3,e3))) != e4 )
| ( op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) != e2 ) ),
inference(cnf_transformation,[],[f558]) ).
tcf(c_353,plain,
( ( op(e3,e3) != e1 )
| ( op(e3,op(e3,e3)) != e0 )
| ( op(e3,op(e3,op(e3,e3))) != e4 )
| ( op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) != e2 ) ),
inference(cnf_transformation,[],[f560]) ).
tcf(c_356,plain,
( ( op(e2,e2) != e1 )
| ( op(e2,op(e2,e2)) != e4 )
| ( op(e2,op(e2,op(e2,e2))) != e0 )
| ( op(op(e2,op(e2,e2)),op(e2,op(e2,e2))) != e3 ) ),
inference(cnf_transformation,[],[f563]) ).
tcf(c_368,plain,
( ( op(e1,e1) != e0 )
| ( op(e1,op(e1,e1)) != e4 )
| ( op(e1,op(e1,op(e1,e1))) != e2 )
| ( op(op(e1,op(e1,e1)),op(e1,op(e1,e1))) != e3 ) ),
inference(cnf_transformation,[],[f575]) ).
tcf(c_380,plain,
( ( op(e2,e2) != e1 )
| ( op(e2,op(e2,e2)) != e3 )
| ( op(e2,op(e2,op(e2,e2))) != e0 )
| ( op(op(e2,op(e2,e2)),op(e2,op(e2,e2))) != e4 ) ),
inference(cnf_transformation,[],[f587]) ).
tcf(c_381,plain,
( ( op(e3,e3) != e1 )
| ( op(e3,op(e3,e3)) != e2 )
| ( op(e3,op(e3,op(e3,e3))) != e0 )
| ( op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) != e4 ) ),
inference(cnf_transformation,[],[f588]) ).
tcf(c_386,plain,
( ( op(e2,e2) != e0 )
| ( op(e2,op(e2,e2)) != e3 )
| ( op(e2,op(e2,op(e2,e2))) != e1 )
| ( op(op(e2,op(e2,e2)),op(e2,op(e2,e2))) != e4 ) ),
inference(cnf_transformation,[],[f593]) ).
tcf(c_387,plain,
( ( op(e3,e3) != e0 )
| ( op(e3,op(e3,e3)) != e2 )
| ( op(e3,op(e3,op(e3,e3))) != e1 )
| ( op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) != e4 ) ),
inference(cnf_transformation,[],[f594]) ).
tcf(c_389,plain,
( ( op(e3,e3) != e2 )
| ( op(e3,op(e3,e3)) != e0 )
| ( op(e3,op(e3,op(e3,e3))) != e1 )
| ( op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) != e4 ) ),
inference(cnf_transformation,[],[f596]) ).
tcf(c_392,plain,
( ( op(e1,e1) != e0 )
| ( op(e1,op(e1,e1)) != e3 )
| ( op(e1,op(e1,op(e1,e1))) != e2 )
| ( op(op(e1,op(e1,e1)),op(e1,op(e1,e1))) != e4 ) ),
inference(cnf_transformation,[],[f599]) ).
tcf(c_393,plain,
( ( op(e3,e3) != e0 )
| ( op(e3,op(e3,e3)) != e1 )
| ( op(e3,op(e3,op(e3,e3))) != e2 )
| ( op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) != e4 ) ),
inference(cnf_transformation,[],[f600]) ).
tcf(c_395,plain,
( ( op(e3,e3) != e1 )
| ( op(e3,op(e3,e3)) != e0 )
| ( op(e3,op(e3,op(e3,e3))) != e2 )
| ( op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) != e4 ) ),
inference(cnf_transformation,[],[f602]) ).
tcf(c_399,plain,
( ( op(e2,e2) != e0 )
| ( op(e2,op(e2,e2)) != e1 )
| ( op(e2,op(e2,op(e2,e2))) != e3 )
| ( op(op(e2,op(e2,e2)),op(e2,op(e2,e2))) != e4 ) ),
inference(cnf_transformation,[],[f606]) ).
tcf(c_8643,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 )
| ( op(e0,e3) = e1 )
| ( op(e0,e3) = e0 )
| ( op(e0,e1) != e4 ) ),
inference(superposition,[status(thm)],[c_52,c_204]) ).
tcf(c_8665,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e4) = e2 )
| ( op(e0,e4) = e1 )
| ( op(e0,e4) = e0 )
| ( op(e0,e3) != e4 ) ),
inference(superposition,[status(thm)],[c_53,c_208]) ).
tcf(c_8667,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e4) = e2 )
| ( op(e0,e4) = e1 )
| ( op(e0,e4) = e0 )
| ( op(e0,e1) != e4 ) ),
inference(superposition,[status(thm)],[c_53,c_205]) ).
tcf(c_8715,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e2 )
| ( op(e1,e1) = e1 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) != e4 ) ),
inference(superposition,[status(thm)],[c_55,c_209]) ).
tcf(c_8716,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e2 )
| ( op(e1,e1) = e1 )
| ( op(e1,e1) = e0 )
| ( op(e0,e1) != e4 ) ),
inference(superposition,[status(thm)],[c_55,c_159]) ).
tcf(c_8780,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 )
| ( op(e1,e2) = e0 )
| ( op(e1,e1) != e4 ) ),
inference(superposition,[status(thm)],[c_56,c_213]) ).
tcf(c_8781,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 )
| ( op(e1,e2) = e0 )
| ( op(e1,e0) != e4 ) ),
inference(superposition,[status(thm)],[c_56,c_210]) ).
tcf(c_8782,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 )
| ( op(e1,e2) = e0 )
| ( op(e0,e2) != e4 ) ),
inference(superposition,[status(thm)],[c_56,c_169]) ).
tcf(c_8838,plain,
( ( op(e4,e4) = e0 )
| ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 )
| ( op(e0,e0) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(superposition,[status(thm)],[c_49,c_124]) ).
tcf(c_8845,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e2 )
| ( op(e1,e0) = e1 )
| ( op(e1,e0) = e0 )
| ( op(e4,op(e0,e1)) = e0 ) ),
inference(superposition,[status(thm)],[c_54,c_125]) ).
tcf(c_8857,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e2) = e2 )
| ( op(e0,e2) = e1 )
| ( op(e0,e2) = e0 )
| ( op(op(e2,e0),e4) = e0 ) ),
inference(superposition,[status(thm)],[c_51,c_126]) ).
tcf(c_8863,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 )
| ( op(e0,e3) = e1 )
| ( op(e0,e3) = e0 )
| ( op(op(e3,e0),e4) = e0 ) ),
inference(superposition,[status(thm)],[c_52,c_127]) ).
fof(f247,definition,
( ~ sP0
| ( op(e4,e4) != e4
& op(e4,e3) != e3
& op(e4,e2) != e2
& op(e4,e1) != e1
& op(e4,e0) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f248,definition,
( ~ sP1
| ( op(e3,e4) != e4
& op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f249,definition,
( ~ sP2
| ( op(e2,e4) != e4
& op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f250,definition,
( ~ sP3
| ( op(e1,e4) != e4
& op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f251,plain,
( sP0
| sP1
| sP2
| sP3
| ( op(e0,e4) != e4
& op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0 ) ),
inference(definition_folding,[],[f6,f250,f249,f248,f247]) ).
fof(f255,plain,
( ~ sP0
| ( op(e4,e4) != e4
& op(e4,e3) != e3
& op(e4,e2) != e2
& op(e4,e1) != e1
& op(e4,e0) != e0 ) ),
inference(nnf_transformation,[],[f247]) ).
fof(f481,plain,
( ~ sP0
| e4 != op(e4,e4) ),
inference(cnf_transformation,[],[f255]) ).
fof(f483,plain,
( ~ sP0
| e2 != op(e4,e2) ),
inference(cnf_transformation,[],[f255]) ).
fof(f484,plain,
( ~ sP0
| e1 != op(e4,e1) ),
inference(cnf_transformation,[],[f255]) ).
fof(f485,plain,
( ~ sP0
| e0 != op(e4,e0) ),
inference(cnf_transformation,[],[f255]) ).
tcf(c_274,plain,
( ~ sP0
| ( op(e4,e0) != e0 ) ),
inference(cnf_transformation,[],[f485]) ).
tcf(c_275,plain,
( ~ sP0
| ( op(e4,e1) != e1 ) ),
inference(cnf_transformation,[],[f484]) ).
tcf(c_276,plain,
( ~ sP0
| ( op(e4,e2) != e2 ) ),
inference(cnf_transformation,[],[f483]) ).
tcf(c_278,plain,
( ~ sP0
| ( op(e4,e4) != e4 ) ),
inference(cnf_transformation,[],[f481]) ).
tcf(c_8869,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_8863,c_8857,c_8845,c_8838,c_8782,c_8781,c_8780,c_8716,c_8715,c_8667,c_8665,c_8643,c_399,c_395,c_393,c_392,c_389,c_387,c_386,c_381,c_380,c_368,c_356,c_353,c_351,c_343,c_341,c_338,c_337,c_332,c_331,c_329,c_327,c_325,c_323,c_321,c_320,c_319,c_318,c_314,c_313,c_310,c_309,c_308,c_307,c_303,c_302,c_301,c_296,c_295,c_292,c_290,c_289,c_288,c_285,c_284,c_283,c_282,c_281,c_280,c_279,c_278,c_276,c_275,c_274,c_273,c_272,c_271,c_269,c_268,c_267,c_266,c_265,c_263,c_262,c_261,c_260,c_259,c_258,c_257,c_256,c_255,c_254,c_253,c_252,c_251,c_250,c_249,c_248,c_247,c_246,c_245,c_244,c_243,c_242,c_241,c_240,c_239,c_238,c_237,c_236,c_235,c_234,c_233,c_232,c_231,c_230,c_229,c_228,c_227,c_226,c_225,c_224,c_223,c_222,c_221,c_220,c_219,c_218,c_217,c_216,c_215,c_214,c_213,c_212,c_211,c_210,c_209,c_208,c_207,c_206,c_205,c_204,c_203,c_202,c_201,c_200,c_199,c_198,c_197,c_196,c_195,c_194,c_193,c_192,c_191,c_190,c_189,c_188,c_187,c_186,c_185,c_184,c_183,c_182,c_181,c_180,c_179,c_178,c_177,c_176,c_175,c_174,c_173,c_172,c_171,c_170,c_169,c_168,c_167,c_166,c_165,c_164,c_163,c_162,c_161,c_160,c_159,c_158,c_157,c_156,c_155,c_154,c_153,c_152,c_151,c_150,c_149,c_148,c_147,c_146,c_145,c_144,c_143,c_142,c_141,c_140,c_139,c_138,c_137,c_136,c_135,c_134,c_133,c_132,c_131,c_130,c_129,c_128,c_127,c_126,c_125,c_124,c_123,c_122,c_121,c_120,c_119,c_118,c_117,c_116,c_115,c_114,c_113,c_112,c_111,c_110,c_109,c_108,c_107,c_106,c_105,c_104,c_103,c_102,c_101,c_100,c_99,c_98,c_97,c_96,c_95,c_94,c_93,c_92,c_91,c_90,c_89,c_88,c_87,c_86,c_85,c_84,c_83,c_82,c_81,c_80,c_79,c_78,c_77,c_76,c_75,c_74,c_73,c_72,c_71,c_69,c_68,c_67,c_66,c_65,c_64,c_63,c_62,c_61,c_60,c_59,c_58,c_57,c_56,c_55,c_54,c_52,c_50,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : ALG191+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Fri Sep 25 05:00:36 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.03/0.32 Running first-order theorem proving
% 0.03/0.32 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.33
% 0.06/0.33 % ======== iProver multi-core TPTP/SMT =========
% 0.06/0.33
% 0.06/0.33 % Detected problem language: tptp
% 0.06/0.34 % Proving...
% 2.89/1.07 % SZS status Started for theBenchmark.p
% 2.89/1.07 % SZS status Unsatisfiable for theBenchmark.p
% 2.89/1.07
% 2.89/1.07 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.89/1.07
% 2.89/1.07 % ------ iProver source info
% 2.89/1.07
% 2.89/1.07 % git: date: 2026-07-19 20:42:38 +0200
% 2.89/1.07 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.89/1.07 % git: non_committed_changes: false
% 2.89/1.07
% 2.89/1.07 % ------ Parsing...
% 2.89/1.07 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.89/1.07
% 2.89/1.07 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.89/1.07
% 2.89/1.07 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.89/1.07
% 2.89/1.07 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 2.89/1.07 % ------ Proving...
% 2.89/1.07 % ------ Problem Properties
% 2.89/1.07
% 2.89/1.07 %
% 2.89/1.07 % clauses 355
% 2.89/1.07 % conjectures 0
% 2.89/1.07 % EPR 10
% 2.89/1.07 % Horn 275
% 2.89/1.07 % unary 135
% 2.89/1.07 % binary 20
% 2.89/1.07 % lits 1055
% 2.89/1.07 % lits eq 1015
% 2.89/1.07 % fd_pure 0
% 2.89/1.07 % fd_pseudo 0
% 2.89/1.07 % fd_cond 0
% 2.89/1.07 % fd_pseudo_cond 0
% 2.89/1.07 % AC symbols 0
% 2.89/1.07
% 2.89/1.07 % ------ Schedule dynamic 5 is on
% 2.89/1.07
% 2.89/1.07 % ------ no conjectures: strip conj schedule
% 2.89/1.07
% 2.89/1.07 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 2.89/1.07
% 2.89/1.07
% 2.89/1.07 % ------
% 2.89/1.07 % Current options:
% 2.89/1.07 % ------
% 2.89/1.07
% 2.89/1.07
% 2.89/1.07 %
% 2.89/1.07
% 2.89/1.07 % ------ Proving...
% 2.89/1.07 %
% 2.89/1.07
% 2.89/1.07 % SZS status Unsatisfiable for theBenchmark.p
% 2.89/1.07
% 2.89/1.07 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.89/1.08
% 2.89/1.08
%------------------------------------------------------------------------------