%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG093+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 : Tue Sep 29 09:09:34 AM UTC 2026
% Result : Theorem 3.68s 1.16s
% Output : Refutation 4.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 351
% Syntax : Number of formulae : 1123 ( 212 unt; 347 def)
% Number of atoms : 5934 (3833 equ)
% Maximal formula atoms : 765 ( 5 avg)
% Number of connectives : 8008 (3197 ~;2765 |;1890 &)
% ( 156 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 119 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 349 ( 347 usr; 348 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f2,axiom,
( op(e0,e0) = e0
& op(e0,e1) = e1
& op(e0,e2) = e2
& op(e0,e3) = e3
& op(e0,e4) = e4
& op(e1,e0) = e1
& op(e1,e1) = e0
& op(e1,e2) = e4
& op(e1,e3) = e2
& op(e1,e4) = e3
& op(e2,e0) = e2
& op(e2,e1) = e4
& op(e2,e2) = e3
& op(e2,e3) = e0
& op(e2,e4) = e1
& op(e3,e0) = e3
& op(e3,e1) = e2
& op(e3,e2) = e1
& op(e3,e3) = e4
& op(e3,e4) = e0
& op(e4,e0) = e4
& op(e4,e1) = e3
& op(e4,e2) = e0
& op(e4,e3) = e1
& op(e4,e4) = e2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f3,axiom,
unit = e0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f4,conjecture,
( ( ( ( op(e0,e0) != e0
| ( op(e0,e0) = e0
& e0 != unit ) )
& ( op(e0,e1) != e0
| ( op(e0,e0) = e1
& e0 != unit ) )
& ( op(e0,e2) != e0
| ( op(e0,e0) = e2
& e0 != unit ) )
& ( op(e0,e3) != e0
| ( op(e0,e0) = e3
& e0 != unit ) )
& ( op(e0,e4) != e0
| ( op(e0,e0) = e4
& e0 != unit ) )
& ( op(e1,e0) != e0
| ( op(e1,e0) = e0
& e0 != unit ) )
& ( op(e1,e1) != e0
| ( op(e1,e0) = e1
& e0 != unit ) )
& ( op(e1,e2) != e0
| ( op(e1,e0) = e2
& e0 != unit ) )
& ( op(e1,e3) != e0
| ( op(e1,e0) = e3
& e0 != unit ) )
& ( op(e1,e4) != e0
| ( op(e1,e0) = e4
& e0 != unit ) )
& ( op(e2,e0) != e0
| ( op(e2,e0) = e0
& e0 != unit ) )
& ( op(e2,e1) != e0
| ( op(e2,e0) = e1
& e0 != unit ) )
& ( op(e2,e2) != e0
| ( op(e2,e0) = e2
& e0 != unit ) )
& ( op(e2,e3) != e0
| ( op(e2,e0) = e3
& e0 != unit ) )
& ( op(e2,e4) != e0
| ( op(e2,e0) = e4
& e0 != unit ) )
& ( op(e3,e0) != e0
| ( op(e3,e0) = e0
& e0 != unit ) )
& ( op(e3,e1) != e0
| ( op(e3,e0) = e1
& e0 != unit ) )
& ( op(e3,e2) != e0
| ( op(e3,e0) = e2
& e0 != unit ) )
& ( op(e3,e3) != e0
| ( op(e3,e0) = e3
& e0 != unit ) )
& ( op(e3,e4) != e0
| ( op(e3,e0) = e4
& e0 != unit ) )
& ( op(e4,e0) != e0
| ( op(e4,e0) = e0
& e0 != unit ) )
& ( op(e4,e1) != e0
| ( op(e4,e0) = e1
& e0 != unit ) )
& ( op(e4,e2) != e0
| ( op(e4,e0) = e2
& e0 != unit ) )
& ( op(e4,e3) != e0
| ( op(e4,e0) = e3
& e0 != unit ) )
& ( op(e4,e4) != e0
| ( op(e4,e0) = e4
& e0 != unit ) ) )
| ( ( op(e0,e0) != e1
| ( op(e0,e1) = e0
& e1 != unit ) )
& ( op(e0,e1) != e1
| ( op(e0,e1) = e1
& e1 != unit ) )
& ( op(e0,e2) != e1
| ( op(e0,e1) = e2
& e1 != unit ) )
& ( op(e0,e3) != e1
| ( op(e0,e1) = e3
& e1 != unit ) )
& ( op(e0,e4) != e1
| ( op(e0,e1) = e4
& e1 != unit ) )
& ( op(e1,e0) != e1
| ( op(e1,e1) = e0
& e1 != unit ) )
& ( op(e1,e1) != e1
| ( op(e1,e1) = e1
& e1 != unit ) )
& ( op(e1,e2) != e1
| ( op(e1,e1) = e2
& e1 != unit ) )
& ( op(e1,e3) != e1
| ( op(e1,e1) = e3
& e1 != unit ) )
& ( op(e1,e4) != e1
| ( op(e1,e1) = e4
& e1 != unit ) )
& ( op(e2,e0) != e1
| ( op(e2,e1) = e0
& e1 != unit ) )
& ( op(e2,e1) != e1
| ( op(e2,e1) = e1
& e1 != unit ) )
& ( op(e2,e2) != e1
| ( op(e2,e1) = e2
& e1 != unit ) )
& ( op(e2,e3) != e1
| ( op(e2,e1) = e3
& e1 != unit ) )
& ( op(e2,e4) != e1
| ( op(e2,e1) = e4
& e1 != unit ) )
& ( op(e3,e0) != e1
| ( op(e3,e1) = e0
& e1 != unit ) )
& ( op(e3,e1) != e1
| ( op(e3,e1) = e1
& e1 != unit ) )
& ( op(e3,e2) != e1
| ( op(e3,e1) = e2
& e1 != unit ) )
& ( op(e3,e3) != e1
| ( op(e3,e1) = e3
& e1 != unit ) )
& ( op(e3,e4) != e1
| ( op(e3,e1) = e4
& e1 != unit ) )
& ( op(e4,e0) != e1
| ( op(e4,e1) = e0
& e1 != unit ) )
& ( op(e4,e1) != e1
| ( op(e4,e1) = e1
& e1 != unit ) )
& ( op(e4,e2) != e1
| ( op(e4,e1) = e2
& e1 != unit ) )
& ( op(e4,e3) != e1
| ( op(e4,e1) = e3
& e1 != unit ) )
& ( op(e4,e4) != e1
| ( op(e4,e1) = e4
& e1 != unit ) ) )
| ( ( op(e0,e0) != e2
| ( op(e0,e2) = e0
& e2 != unit ) )
& ( op(e0,e1) != e2
| ( op(e0,e2) = e1
& e2 != unit ) )
& ( op(e0,e2) != e2
| ( op(e0,e2) = e2
& e2 != unit ) )
& ( op(e0,e3) != e2
| ( op(e0,e2) = e3
& e2 != unit ) )
& ( op(e0,e4) != e2
| ( op(e0,e2) = e4
& e2 != unit ) )
& ( op(e1,e0) != e2
| ( op(e1,e2) = e0
& e2 != unit ) )
& ( op(e1,e1) != e2
| ( op(e1,e2) = e1
& e2 != unit ) )
& ( op(e1,e2) != e2
| ( op(e1,e2) = e2
& e2 != unit ) )
& ( op(e1,e3) != e2
| ( op(e1,e2) = e3
& e2 != unit ) )
& ( op(e1,e4) != e2
| ( op(e1,e2) = e4
& e2 != unit ) )
& ( op(e2,e0) != e2
| ( op(e2,e2) = e0
& e2 != unit ) )
& ( op(e2,e1) != e2
| ( op(e2,e2) = e1
& e2 != unit ) )
& ( op(e2,e2) != e2
| ( op(e2,e2) = e2
& e2 != unit ) )
& ( op(e2,e3) != e2
| ( op(e2,e2) = e3
& e2 != unit ) )
& ( op(e2,e4) != e2
| ( op(e2,e2) = e4
& e2 != unit ) )
& ( op(e3,e0) != e2
| ( op(e3,e2) = e0
& e2 != unit ) )
& ( op(e3,e1) != e2
| ( op(e3,e2) = e1
& e2 != unit ) )
& ( op(e3,e2) != e2
| ( op(e3,e2) = e2
& e2 != unit ) )
& ( op(e3,e3) != e2
| ( op(e3,e2) = e3
& e2 != unit ) )
& ( op(e3,e4) != e2
| ( op(e3,e2) = e4
& e2 != unit ) )
& ( op(e4,e0) != e2
| ( op(e4,e2) = e0
& e2 != unit ) )
& ( op(e4,e1) != e2
| ( op(e4,e2) = e1
& e2 != unit ) )
& ( op(e4,e2) != e2
| ( op(e4,e2) = e2
& e2 != unit ) )
& ( op(e4,e3) != e2
| ( op(e4,e2) = e3
& e2 != unit ) )
& ( op(e4,e4) != e2
| ( op(e4,e2) = e4
& e2 != unit ) ) )
| ( ( op(e0,e0) != e3
| ( op(e0,e3) = e0
& e3 != unit ) )
& ( op(e0,e1) != e3
| ( op(e0,e3) = e1
& e3 != unit ) )
& ( op(e0,e2) != e3
| ( op(e0,e3) = e2
& e3 != unit ) )
& ( op(e0,e3) != e3
| ( op(e0,e3) = e3
& e3 != unit ) )
& ( op(e0,e4) != e3
| ( op(e0,e3) = e4
& e3 != unit ) )
& ( op(e1,e0) != e3
| ( op(e1,e3) = e0
& e3 != unit ) )
& ( op(e1,e1) != e3
| ( op(e1,e3) = e1
& e3 != unit ) )
& ( op(e1,e2) != e3
| ( op(e1,e3) = e2
& e3 != unit ) )
& ( op(e1,e3) != e3
| ( op(e1,e3) = e3
& e3 != unit ) )
& ( op(e1,e4) != e3
| ( op(e1,e3) = e4
& e3 != unit ) )
& ( op(e2,e0) != e3
| ( op(e2,e3) = e0
& e3 != unit ) )
& ( op(e2,e1) != e3
| ( op(e2,e3) = e1
& e3 != unit ) )
& ( op(e2,e2) != e3
| ( op(e2,e3) = e2
& e3 != unit ) )
& ( op(e2,e3) != e3
| ( op(e2,e3) = e3
& e3 != unit ) )
& ( op(e2,e4) != e3
| ( op(e2,e3) = e4
& e3 != unit ) )
& ( op(e3,e0) != e3
| ( op(e3,e3) = e0
& e3 != unit ) )
& ( op(e3,e1) != e3
| ( op(e3,e3) = e1
& e3 != unit ) )
& ( op(e3,e2) != e3
| ( op(e3,e3) = e2
& e3 != unit ) )
& ( op(e3,e3) != e3
| ( op(e3,e3) = e3
& e3 != unit ) )
& ( op(e3,e4) != e3
| ( op(e3,e3) = e4
& e3 != unit ) )
& ( op(e4,e0) != e3
| ( op(e4,e3) = e0
& e3 != unit ) )
& ( op(e4,e1) != e3
| ( op(e4,e3) = e1
& e3 != unit ) )
& ( op(e4,e2) != e3
| ( op(e4,e3) = e2
& e3 != unit ) )
& ( op(e4,e3) != e3
| ( op(e4,e3) = e3
& e3 != unit ) )
& ( op(e4,e4) != e3
| ( op(e4,e3) = e4
& e3 != unit ) ) )
| ( ( op(e0,e0) != e4
| ( op(e0,e4) = e0
& e4 != unit ) )
& ( op(e0,e1) != e4
| ( op(e0,e4) = e1
& e4 != unit ) )
& ( op(e0,e2) != e4
| ( op(e0,e4) = e2
& e4 != unit ) )
& ( op(e0,e3) != e4
| ( op(e0,e4) = e3
& e4 != unit ) )
& ( op(e0,e4) != e4
| ( op(e0,e4) = e4
& e4 != unit ) )
& ( op(e1,e0) != e4
| ( op(e1,e4) = e0
& e4 != unit ) )
& ( op(e1,e1) != e4
| ( op(e1,e4) = e1
& e4 != unit ) )
& ( op(e1,e2) != e4
| ( op(e1,e4) = e2
& e4 != unit ) )
& ( op(e1,e3) != e4
| ( op(e1,e4) = e3
& e4 != unit ) )
& ( op(e1,e4) != e4
| ( op(e1,e4) = e4
& e4 != unit ) )
& ( op(e2,e0) != e4
| ( op(e2,e4) = e0
& e4 != unit ) )
& ( op(e2,e1) != e4
| ( op(e2,e4) = e1
& e4 != unit ) )
& ( op(e2,e2) != e4
| ( op(e2,e4) = e2
& e4 != unit ) )
& ( op(e2,e3) != e4
| ( op(e2,e4) = e3
& e4 != unit ) )
& ( op(e2,e4) != e4
| ( op(e2,e4) = e4
& e4 != unit ) )
& ( op(e3,e0) != e4
| ( op(e3,e4) = e0
& e4 != unit ) )
& ( op(e3,e1) != e4
| ( op(e3,e4) = e1
& e4 != unit ) )
& ( op(e3,e2) != e4
| ( op(e3,e4) = e2
& e4 != unit ) )
& ( op(e3,e3) != e4
| ( op(e3,e4) = e3
& e4 != unit ) )
& ( op(e3,e4) != e4
| ( op(e3,e4) = e4
& e4 != unit ) )
& ( op(e4,e0) != e4
| ( op(e4,e4) = e0
& e4 != unit ) )
& ( op(e4,e1) != e4
| ( op(e4,e4) = e1
& e4 != unit ) )
& ( op(e4,e2) != e4
| ( op(e4,e4) = e2
& e4 != unit ) )
& ( op(e4,e3) != e4
| ( op(e4,e4) = e3
& e4 != unit ) )
& ( op(e4,e4) != e4
| ( op(e4,e4) = e4
& e4 != unit ) ) ) )
& ( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e0) = e4 )
& ( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4 )
& ( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4 )
& ( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 )
& ( op(e0,e4) = e0
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 )
& ( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = e4 )
& ( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3
| op(e1,e1) = e4 )
& ( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3
| op(e1,e2) = e4 )
& ( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3
| op(e1,e3) = e4 )
& ( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4 )
& ( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3
| op(e2,e0) = e4 )
& ( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 )
& ( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3
| op(e2,e2) = e4 )
& ( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3
| op(e2,e3) = e4 )
& ( op(e2,e4) = e0
| op(e2,e4) = e1
| op(e2,e4) = e2
| op(e2,e4) = e3
| op(e2,e4) = e4 )
& ( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 )
& ( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4 )
& ( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 )
& ( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3
| op(e3,e3) = e4 )
& ( op(e3,e4) = e0
| op(e3,e4) = e1
| op(e3,e4) = e2
| op(e3,e4) = e3
| op(e3,e4) = e4 )
& ( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 )
& ( op(e4,e1) = e0
| op(e4,e1) = e1
| op(e4,e1) = e2
| op(e4,e1) = e3
| op(e4,e1) = e4 )
& ( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3
| op(e4,e2) = e4 )
& ( op(e4,e3) = e0
| op(e4,e3) = e1
| op(e4,e3) = e2
| op(e4,e3) = e3
| op(e4,e3) = e4 )
& ( op(e4,e4) = e0
| op(e4,e4) = e1
| op(e4,e4) = e2
| op(e4,e4) = e3
| op(e4,e4) = e4 )
& op(unit,e0) = e0
& op(e0,unit) = e0
& op(unit,e1) = e1
& op(e1,unit) = e1
& op(unit,e2) = e2
& op(e2,unit) = e2
& op(unit,e3) = e3
& op(e3,unit) = e3
& op(unit,e4) = e4
& op(e4,unit) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 )
& ( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0
| op(e0,e4) = e0 )
& ( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0
| op(e4,e0) = e0 )
& ( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e4) = e1 )
& ( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e4,e0) = e1 )
& ( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2
| op(e0,e4) = e2 )
& ( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2
| op(e4,e0) = e2 )
& ( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3
| op(e0,e4) = e3 )
& ( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3
| op(e4,e0) = e3 )
& ( op(e0,e0) = e4
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e3) = e4
| op(e0,e4) = e4 )
& ( op(e0,e0) = e4
| op(e1,e0) = e4
| op(e2,e0) = e4
| op(e3,e0) = e4
| op(e4,e0) = e4 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e4) = e0 )
& ( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e1) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1
| op(e1,e4) = e1 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e4,e1) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2
| op(e1,e4) = e2 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 )
& ( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4
| op(e1,e4) = e4 )
& ( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2
| op(e2,e4) = e2 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3
| op(e2,e4) = e3 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 )
& ( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 )
& ( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e4) = e0 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1
| op(e3,e4) = e1 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e4,e3) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2
| op(e3,e4) = e2 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3
| op(e3,e4) = e3 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3
| op(e4,e3) = e3 )
& ( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e3) = e4
| op(e3,e4) = e4 )
& ( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4
| op(e4,e3) = e4 )
& ( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e4) = e0
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 )
& ( op(e4,e0) = e1
| op(e4,e1) = e1
| op(e4,e2) = e1
| op(e4,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 )
& ( op(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e4) = e2
| op(e1,e4) = e2
| op(e2,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 )
& ( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 )
& ( op(e4,e0) = e4
| op(e4,e1) = e4
| op(e4,e2) = e4
| op(e4,e3) = e4
| op(e4,e4) = e4 )
& ( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4
| op(e4,e4) = e4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f5,negated_conjecture,
~ ( ( ( ( op(e0,e0) != e0
| ( op(e0,e0) = e0
& e0 != unit ) )
& ( op(e0,e1) != e0
| ( op(e0,e0) = e1
& e0 != unit ) )
& ( op(e0,e2) != e0
| ( op(e0,e0) = e2
& e0 != unit ) )
& ( op(e0,e3) != e0
| ( op(e0,e0) = e3
& e0 != unit ) )
& ( op(e0,e4) != e0
| ( op(e0,e0) = e4
& e0 != unit ) )
& ( op(e1,e0) != e0
| ( op(e1,e0) = e0
& e0 != unit ) )
& ( op(e1,e1) != e0
| ( op(e1,e0) = e1
& e0 != unit ) )
& ( op(e1,e2) != e0
| ( op(e1,e0) = e2
& e0 != unit ) )
& ( op(e1,e3) != e0
| ( op(e1,e0) = e3
& e0 != unit ) )
& ( op(e1,e4) != e0
| ( op(e1,e0) = e4
& e0 != unit ) )
& ( op(e2,e0) != e0
| ( op(e2,e0) = e0
& e0 != unit ) )
& ( op(e2,e1) != e0
| ( op(e2,e0) = e1
& e0 != unit ) )
& ( op(e2,e2) != e0
| ( op(e2,e0) = e2
& e0 != unit ) )
& ( op(e2,e3) != e0
| ( op(e2,e0) = e3
& e0 != unit ) )
& ( op(e2,e4) != e0
| ( op(e2,e0) = e4
& e0 != unit ) )
& ( op(e3,e0) != e0
| ( op(e3,e0) = e0
& e0 != unit ) )
& ( op(e3,e1) != e0
| ( op(e3,e0) = e1
& e0 != unit ) )
& ( op(e3,e2) != e0
| ( op(e3,e0) = e2
& e0 != unit ) )
& ( op(e3,e3) != e0
| ( op(e3,e0) = e3
& e0 != unit ) )
& ( op(e3,e4) != e0
| ( op(e3,e0) = e4
& e0 != unit ) )
& ( op(e4,e0) != e0
| ( op(e4,e0) = e0
& e0 != unit ) )
& ( op(e4,e1) != e0
| ( op(e4,e0) = e1
& e0 != unit ) )
& ( op(e4,e2) != e0
| ( op(e4,e0) = e2
& e0 != unit ) )
& ( op(e4,e3) != e0
| ( op(e4,e0) = e3
& e0 != unit ) )
& ( op(e4,e4) != e0
| ( op(e4,e0) = e4
& e0 != unit ) ) )
| ( ( op(e0,e0) != e1
| ( op(e0,e1) = e0
& e1 != unit ) )
& ( op(e0,e1) != e1
| ( op(e0,e1) = e1
& e1 != unit ) )
& ( op(e0,e2) != e1
| ( op(e0,e1) = e2
& e1 != unit ) )
& ( op(e0,e3) != e1
| ( op(e0,e1) = e3
& e1 != unit ) )
& ( op(e0,e4) != e1
| ( op(e0,e1) = e4
& e1 != unit ) )
& ( op(e1,e0) != e1
| ( op(e1,e1) = e0
& e1 != unit ) )
& ( op(e1,e1) != e1
| ( op(e1,e1) = e1
& e1 != unit ) )
& ( op(e1,e2) != e1
| ( op(e1,e1) = e2
& e1 != unit ) )
& ( op(e1,e3) != e1
| ( op(e1,e1) = e3
& e1 != unit ) )
& ( op(e1,e4) != e1
| ( op(e1,e1) = e4
& e1 != unit ) )
& ( op(e2,e0) != e1
| ( op(e2,e1) = e0
& e1 != unit ) )
& ( op(e2,e1) != e1
| ( op(e2,e1) = e1
& e1 != unit ) )
& ( op(e2,e2) != e1
| ( op(e2,e1) = e2
& e1 != unit ) )
& ( op(e2,e3) != e1
| ( op(e2,e1) = e3
& e1 != unit ) )
& ( op(e2,e4) != e1
| ( op(e2,e1) = e4
& e1 != unit ) )
& ( op(e3,e0) != e1
| ( op(e3,e1) = e0
& e1 != unit ) )
& ( op(e3,e1) != e1
| ( op(e3,e1) = e1
& e1 != unit ) )
& ( op(e3,e2) != e1
| ( op(e3,e1) = e2
& e1 != unit ) )
& ( op(e3,e3) != e1
| ( op(e3,e1) = e3
& e1 != unit ) )
& ( op(e3,e4) != e1
| ( op(e3,e1) = e4
& e1 != unit ) )
& ( op(e4,e0) != e1
| ( op(e4,e1) = e0
& e1 != unit ) )
& ( op(e4,e1) != e1
| ( op(e4,e1) = e1
& e1 != unit ) )
& ( op(e4,e2) != e1
| ( op(e4,e1) = e2
& e1 != unit ) )
& ( op(e4,e3) != e1
| ( op(e4,e1) = e3
& e1 != unit ) )
& ( op(e4,e4) != e1
| ( op(e4,e1) = e4
& e1 != unit ) ) )
| ( ( op(e0,e0) != e2
| ( op(e0,e2) = e0
& e2 != unit ) )
& ( op(e0,e1) != e2
| ( op(e0,e2) = e1
& e2 != unit ) )
& ( op(e0,e2) != e2
| ( op(e0,e2) = e2
& e2 != unit ) )
& ( op(e0,e3) != e2
| ( op(e0,e2) = e3
& e2 != unit ) )
& ( op(e0,e4) != e2
| ( op(e0,e2) = e4
& e2 != unit ) )
& ( op(e1,e0) != e2
| ( op(e1,e2) = e0
& e2 != unit ) )
& ( op(e1,e1) != e2
| ( op(e1,e2) = e1
& e2 != unit ) )
& ( op(e1,e2) != e2
| ( op(e1,e2) = e2
& e2 != unit ) )
& ( op(e1,e3) != e2
| ( op(e1,e2) = e3
& e2 != unit ) )
& ( op(e1,e4) != e2
| ( op(e1,e2) = e4
& e2 != unit ) )
& ( op(e2,e0) != e2
| ( op(e2,e2) = e0
& e2 != unit ) )
& ( op(e2,e1) != e2
| ( op(e2,e2) = e1
& e2 != unit ) )
& ( op(e2,e2) != e2
| ( op(e2,e2) = e2
& e2 != unit ) )
& ( op(e2,e3) != e2
| ( op(e2,e2) = e3
& e2 != unit ) )
& ( op(e2,e4) != e2
| ( op(e2,e2) = e4
& e2 != unit ) )
& ( op(e3,e0) != e2
| ( op(e3,e2) = e0
& e2 != unit ) )
& ( op(e3,e1) != e2
| ( op(e3,e2) = e1
& e2 != unit ) )
& ( op(e3,e2) != e2
| ( op(e3,e2) = e2
& e2 != unit ) )
& ( op(e3,e3) != e2
| ( op(e3,e2) = e3
& e2 != unit ) )
& ( op(e3,e4) != e2
| ( op(e3,e2) = e4
& e2 != unit ) )
& ( op(e4,e0) != e2
| ( op(e4,e2) = e0
& e2 != unit ) )
& ( op(e4,e1) != e2
| ( op(e4,e2) = e1
& e2 != unit ) )
& ( op(e4,e2) != e2
| ( op(e4,e2) = e2
& e2 != unit ) )
& ( op(e4,e3) != e2
| ( op(e4,e2) = e3
& e2 != unit ) )
& ( op(e4,e4) != e2
| ( op(e4,e2) = e4
& e2 != unit ) ) )
| ( ( op(e0,e0) != e3
| ( op(e0,e3) = e0
& e3 != unit ) )
& ( op(e0,e1) != e3
| ( op(e0,e3) = e1
& e3 != unit ) )
& ( op(e0,e2) != e3
| ( op(e0,e3) = e2
& e3 != unit ) )
& ( op(e0,e3) != e3
| ( op(e0,e3) = e3
& e3 != unit ) )
& ( op(e0,e4) != e3
| ( op(e0,e3) = e4
& e3 != unit ) )
& ( op(e1,e0) != e3
| ( op(e1,e3) = e0
& e3 != unit ) )
& ( op(e1,e1) != e3
| ( op(e1,e3) = e1
& e3 != unit ) )
& ( op(e1,e2) != e3
| ( op(e1,e3) = e2
& e3 != unit ) )
& ( op(e1,e3) != e3
| ( op(e1,e3) = e3
& e3 != unit ) )
& ( op(e1,e4) != e3
| ( op(e1,e3) = e4
& e3 != unit ) )
& ( op(e2,e0) != e3
| ( op(e2,e3) = e0
& e3 != unit ) )
& ( op(e2,e1) != e3
| ( op(e2,e3) = e1
& e3 != unit ) )
& ( op(e2,e2) != e3
| ( op(e2,e3) = e2
& e3 != unit ) )
& ( op(e2,e3) != e3
| ( op(e2,e3) = e3
& e3 != unit ) )
& ( op(e2,e4) != e3
| ( op(e2,e3) = e4
& e3 != unit ) )
& ( op(e3,e0) != e3
| ( op(e3,e3) = e0
& e3 != unit ) )
& ( op(e3,e1) != e3
| ( op(e3,e3) = e1
& e3 != unit ) )
& ( op(e3,e2) != e3
| ( op(e3,e3) = e2
& e3 != unit ) )
& ( op(e3,e3) != e3
| ( op(e3,e3) = e3
& e3 != unit ) )
& ( op(e3,e4) != e3
| ( op(e3,e3) = e4
& e3 != unit ) )
& ( op(e4,e0) != e3
| ( op(e4,e3) = e0
& e3 != unit ) )
& ( op(e4,e1) != e3
| ( op(e4,e3) = e1
& e3 != unit ) )
& ( op(e4,e2) != e3
| ( op(e4,e3) = e2
& e3 != unit ) )
& ( op(e4,e3) != e3
| ( op(e4,e3) = e3
& e3 != unit ) )
& ( op(e4,e4) != e3
| ( op(e4,e3) = e4
& e3 != unit ) ) )
| ( ( op(e0,e0) != e4
| ( op(e0,e4) = e0
& e4 != unit ) )
& ( op(e0,e1) != e4
| ( op(e0,e4) = e1
& e4 != unit ) )
& ( op(e0,e2) != e4
| ( op(e0,e4) = e2
& e4 != unit ) )
& ( op(e0,e3) != e4
| ( op(e0,e4) = e3
& e4 != unit ) )
& ( op(e0,e4) != e4
| ( op(e0,e4) = e4
& e4 != unit ) )
& ( op(e1,e0) != e4
| ( op(e1,e4) = e0
& e4 != unit ) )
& ( op(e1,e1) != e4
| ( op(e1,e4) = e1
& e4 != unit ) )
& ( op(e1,e2) != e4
| ( op(e1,e4) = e2
& e4 != unit ) )
& ( op(e1,e3) != e4
| ( op(e1,e4) = e3
& e4 != unit ) )
& ( op(e1,e4) != e4
| ( op(e1,e4) = e4
& e4 != unit ) )
& ( op(e2,e0) != e4
| ( op(e2,e4) = e0
& e4 != unit ) )
& ( op(e2,e1) != e4
| ( op(e2,e4) = e1
& e4 != unit ) )
& ( op(e2,e2) != e4
| ( op(e2,e4) = e2
& e4 != unit ) )
& ( op(e2,e3) != e4
| ( op(e2,e4) = e3
& e4 != unit ) )
& ( op(e2,e4) != e4
| ( op(e2,e4) = e4
& e4 != unit ) )
& ( op(e3,e0) != e4
| ( op(e3,e4) = e0
& e4 != unit ) )
& ( op(e3,e1) != e4
| ( op(e3,e4) = e1
& e4 != unit ) )
& ( op(e3,e2) != e4
| ( op(e3,e4) = e2
& e4 != unit ) )
& ( op(e3,e3) != e4
| ( op(e3,e4) = e3
& e4 != unit ) )
& ( op(e3,e4) != e4
| ( op(e3,e4) = e4
& e4 != unit ) )
& ( op(e4,e0) != e4
| ( op(e4,e4) = e0
& e4 != unit ) )
& ( op(e4,e1) != e4
| ( op(e4,e4) = e1
& e4 != unit ) )
& ( op(e4,e2) != e4
| ( op(e4,e4) = e2
& e4 != unit ) )
& ( op(e4,e3) != e4
| ( op(e4,e4) = e3
& e4 != unit ) )
& ( op(e4,e4) != e4
| ( op(e4,e4) = e4
& e4 != unit ) ) ) )
& ( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e0) = e4 )
& ( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4 )
& ( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4 )
& ( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 )
& ( op(e0,e4) = e0
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 )
& ( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = e4 )
& ( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3
| op(e1,e1) = e4 )
& ( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3
| op(e1,e2) = e4 )
& ( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3
| op(e1,e3) = e4 )
& ( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4 )
& ( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3
| op(e2,e0) = e4 )
& ( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 )
& ( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3
| op(e2,e2) = e4 )
& ( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3
| op(e2,e3) = e4 )
& ( op(e2,e4) = e0
| op(e2,e4) = e1
| op(e2,e4) = e2
| op(e2,e4) = e3
| op(e2,e4) = e4 )
& ( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 )
& ( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4 )
& ( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 )
& ( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3
| op(e3,e3) = e4 )
& ( op(e3,e4) = e0
| op(e3,e4) = e1
| op(e3,e4) = e2
| op(e3,e4) = e3
| op(e3,e4) = e4 )
& ( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 )
& ( op(e4,e1) = e0
| op(e4,e1) = e1
| op(e4,e1) = e2
| op(e4,e1) = e3
| op(e4,e1) = e4 )
& ( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3
| op(e4,e2) = e4 )
& ( op(e4,e3) = e0
| op(e4,e3) = e1
| op(e4,e3) = e2
| op(e4,e3) = e3
| op(e4,e3) = e4 )
& ( op(e4,e4) = e0
| op(e4,e4) = e1
| op(e4,e4) = e2
| op(e4,e4) = e3
| op(e4,e4) = e4 )
& op(unit,e0) = e0
& op(e0,unit) = e0
& op(unit,e1) = e1
& op(e1,unit) = e1
& op(unit,e2) = e2
& op(e2,unit) = e2
& op(unit,e3) = e3
& op(e3,unit) = e3
& op(unit,e4) = e4
& op(e4,unit) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 )
& ( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0
| op(e0,e4) = e0 )
& ( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0
| op(e4,e0) = e0 )
& ( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e4) = e1 )
& ( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e4,e0) = e1 )
& ( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2
| op(e0,e4) = e2 )
& ( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2
| op(e4,e0) = e2 )
& ( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3
| op(e0,e4) = e3 )
& ( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3
| op(e4,e0) = e3 )
& ( op(e0,e0) = e4
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e3) = e4
| op(e0,e4) = e4 )
& ( op(e0,e0) = e4
| op(e1,e0) = e4
| op(e2,e0) = e4
| op(e3,e0) = e4
| op(e4,e0) = e4 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e4) = e0 )
& ( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e1) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1
| op(e1,e4) = e1 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e4,e1) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2
| op(e1,e4) = e2 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 )
& ( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4
| op(e1,e4) = e4 )
& ( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2
| op(e2,e4) = e2 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3
| op(e2,e4) = e3 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 )
& ( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 )
& ( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e4) = e0 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1
| op(e3,e4) = e1 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e4,e3) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2
| op(e3,e4) = e2 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3
| op(e3,e4) = e3 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3
| op(e4,e3) = e3 )
& ( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e3) = e4
| op(e3,e4) = e4 )
& ( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4
| op(e4,e3) = e4 )
& ( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e4) = e0
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 )
& ( op(e4,e0) = e1
| op(e4,e1) = e1
| op(e4,e2) = e1
| op(e4,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 )
& ( op(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e4) = e2
| op(e1,e4) = e2
| op(e2,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 )
& ( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 )
& ( op(e4,e0) = e4
| op(e4,e1) = e4
| op(e4,e2) = e4
| op(e4,e3) = e4
| op(e4,e4) = e4 )
& ( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4
| op(e4,e4) = e4 ) ),
inference(negated_conjecture,[status(cth)],[f4]) ).
fof(f6,plain,
( ( ( ( e0 = op(e0,e0)
& ( e0 != op(e0,e0)
| e0 = unit ) )
| ( e0 = op(e0,e1)
& ( e1 != op(e0,e0)
| e0 = unit ) )
| ( e0 = op(e0,e2)
& ( e2 != op(e0,e0)
| e0 = unit ) )
| ( e0 = op(e0,e3)
& ( e3 != op(e0,e0)
| e0 = unit ) )
| ( e0 = op(e0,e4)
& ( e4 != op(e0,e0)
| e0 = unit ) )
| ( e0 = op(e1,e0)
& ( e0 != op(e1,e0)
| e0 = unit ) )
| ( e0 = op(e1,e1)
& ( e1 != op(e1,e0)
| e0 = unit ) )
| ( e0 = op(e1,e2)
& ( e2 != op(e1,e0)
| e0 = unit ) )
| ( e0 = op(e1,e3)
& ( e3 != op(e1,e0)
| e0 = unit ) )
| ( e0 = op(e1,e4)
& ( e4 != op(e1,e0)
| e0 = unit ) )
| ( e0 = op(e2,e0)
& ( e0 != op(e2,e0)
| e0 = unit ) )
| ( e0 = op(e2,e1)
& ( e1 != op(e2,e0)
| e0 = unit ) )
| ( e0 = op(e2,e2)
& ( e2 != op(e2,e0)
| e0 = unit ) )
| ( e0 = op(e2,e3)
& ( e3 != op(e2,e0)
| e0 = unit ) )
| ( e0 = op(e2,e4)
& ( e4 != op(e2,e0)
| e0 = unit ) )
| ( e0 = op(e3,e0)
& ( e0 != op(e3,e0)
| e0 = unit ) )
| ( e0 = op(e3,e1)
& ( e1 != op(e3,e0)
| e0 = unit ) )
| ( e0 = op(e3,e2)
& ( e2 != op(e3,e0)
| e0 = unit ) )
| ( e0 = op(e3,e3)
& ( e3 != op(e3,e0)
| e0 = unit ) )
| ( e0 = op(e3,e4)
& ( e4 != op(e3,e0)
| e0 = unit ) )
| ( e0 = op(e4,e0)
& ( e0 != op(e4,e0)
| e0 = unit ) )
| ( e0 = op(e4,e1)
& ( e1 != op(e4,e0)
| e0 = unit ) )
| ( e0 = op(e4,e2)
& ( e2 != op(e4,e0)
| e0 = unit ) )
| ( e0 = op(e4,e3)
& ( e3 != op(e4,e0)
| e0 = unit ) )
| ( e0 = op(e4,e4)
& ( e4 != op(e4,e0)
| e0 = unit ) ) )
& ( ( e1 = op(e0,e0)
& ( e0 != op(e0,e1)
| e1 = unit ) )
| ( e1 = op(e0,e1)
& ( e1 != op(e0,e1)
| e1 = unit ) )
| ( e1 = op(e0,e2)
& ( e2 != op(e0,e1)
| e1 = unit ) )
| ( e1 = op(e0,e3)
& ( e3 != op(e0,e1)
| e1 = unit ) )
| ( e1 = op(e0,e4)
& ( e4 != op(e0,e1)
| e1 = unit ) )
| ( e1 = op(e1,e0)
& ( e0 != op(e1,e1)
| e1 = unit ) )
| ( e1 = op(e1,e1)
& ( e1 != op(e1,e1)
| e1 = unit ) )
| ( e1 = op(e1,e2)
& ( e2 != op(e1,e1)
| e1 = unit ) )
| ( e1 = op(e1,e3)
& ( e3 != op(e1,e1)
| e1 = unit ) )
| ( e1 = op(e1,e4)
& ( e4 != op(e1,e1)
| e1 = unit ) )
| ( e1 = op(e2,e0)
& ( e0 != op(e2,e1)
| e1 = unit ) )
| ( e1 = op(e2,e1)
& ( e1 != op(e2,e1)
| e1 = unit ) )
| ( e1 = op(e2,e2)
& ( e2 != op(e2,e1)
| e1 = unit ) )
| ( e1 = op(e2,e3)
& ( e3 != op(e2,e1)
| e1 = unit ) )
| ( e1 = op(e2,e4)
& ( e4 != op(e2,e1)
| e1 = unit ) )
| ( e1 = op(e3,e0)
& ( e0 != op(e3,e1)
| e1 = unit ) )
| ( e1 = op(e3,e1)
& ( e1 != op(e3,e1)
| e1 = unit ) )
| ( e1 = op(e3,e2)
& ( e2 != op(e3,e1)
| e1 = unit ) )
| ( e1 = op(e3,e3)
& ( e3 != op(e3,e1)
| e1 = unit ) )
| ( e1 = op(e3,e4)
& ( e4 != op(e3,e1)
| e1 = unit ) )
| ( e1 = op(e4,e0)
& ( e0 != op(e4,e1)
| e1 = unit ) )
| ( e1 = op(e4,e1)
& ( e1 != op(e4,e1)
| e1 = unit ) )
| ( e1 = op(e4,e2)
& ( e2 != op(e4,e1)
| e1 = unit ) )
| ( e1 = op(e4,e3)
& ( e3 != op(e4,e1)
| e1 = unit ) )
| ( e1 = op(e4,e4)
& ( e4 != op(e4,e1)
| e1 = unit ) ) )
& ( ( e2 = op(e0,e0)
& ( e0 != op(e0,e2)
| e2 = unit ) )
| ( e2 = op(e0,e1)
& ( e1 != op(e0,e2)
| e2 = unit ) )
| ( e2 = op(e0,e2)
& ( e2 != op(e0,e2)
| e2 = unit ) )
| ( e2 = op(e0,e3)
& ( e3 != op(e0,e2)
| e2 = unit ) )
| ( e2 = op(e0,e4)
& ( e4 != op(e0,e2)
| e2 = unit ) )
| ( e2 = op(e1,e0)
& ( e0 != op(e1,e2)
| e2 = unit ) )
| ( e2 = op(e1,e1)
& ( e1 != op(e1,e2)
| e2 = unit ) )
| ( e2 = op(e1,e2)
& ( e2 != op(e1,e2)
| e2 = unit ) )
| ( e2 = op(e1,e3)
& ( e3 != op(e1,e2)
| e2 = unit ) )
| ( e2 = op(e1,e4)
& ( e4 != op(e1,e2)
| e2 = unit ) )
| ( e2 = op(e2,e0)
& ( e0 != op(e2,e2)
| e2 = unit ) )
| ( e2 = op(e2,e1)
& ( e1 != op(e2,e2)
| e2 = unit ) )
| ( e2 = op(e2,e2)
& ( e2 != op(e2,e2)
| e2 = unit ) )
| ( e2 = op(e2,e3)
& ( e3 != op(e2,e2)
| e2 = unit ) )
| ( e2 = op(e2,e4)
& ( e4 != op(e2,e2)
| e2 = unit ) )
| ( e2 = op(e3,e0)
& ( e0 != op(e3,e2)
| e2 = unit ) )
| ( e2 = op(e3,e1)
& ( e1 != op(e3,e2)
| e2 = unit ) )
| ( e2 = op(e3,e2)
& ( e2 != op(e3,e2)
| e2 = unit ) )
| ( e2 = op(e3,e3)
& ( e3 != op(e3,e2)
| e2 = unit ) )
| ( e2 = op(e3,e4)
& ( e4 != op(e3,e2)
| e2 = unit ) )
| ( e2 = op(e4,e0)
& ( e0 != op(e4,e2)
| e2 = unit ) )
| ( e2 = op(e4,e1)
& ( e1 != op(e4,e2)
| e2 = unit ) )
| ( e2 = op(e4,e2)
& ( e2 != op(e4,e2)
| e2 = unit ) )
| ( e2 = op(e4,e3)
& ( e3 != op(e4,e2)
| e2 = unit ) )
| ( e2 = op(e4,e4)
& ( e4 != op(e4,e2)
| e2 = unit ) ) )
& ( ( e3 = op(e0,e0)
& ( e0 != op(e0,e3)
| e3 = unit ) )
| ( e3 = op(e0,e1)
& ( e1 != op(e0,e3)
| e3 = unit ) )
| ( e3 = op(e0,e2)
& ( e2 != op(e0,e3)
| e3 = unit ) )
| ( e3 = op(e0,e3)
& ( e3 != op(e0,e3)
| e3 = unit ) )
| ( e3 = op(e0,e4)
& ( e4 != op(e0,e3)
| e3 = unit ) )
| ( e3 = op(e1,e0)
& ( e0 != op(e1,e3)
| e3 = unit ) )
| ( e3 = op(e1,e1)
& ( e1 != op(e1,e3)
| e3 = unit ) )
| ( e3 = op(e1,e2)
& ( e2 != op(e1,e3)
| e3 = unit ) )
| ( e3 = op(e1,e3)
& ( e3 != op(e1,e3)
| e3 = unit ) )
| ( e3 = op(e1,e4)
& ( e4 != op(e1,e3)
| e3 = unit ) )
| ( e3 = op(e2,e0)
& ( e0 != op(e2,e3)
| e3 = unit ) )
| ( e3 = op(e2,e1)
& ( e1 != op(e2,e3)
| e3 = unit ) )
| ( e3 = op(e2,e2)
& ( e2 != op(e2,e3)
| e3 = unit ) )
| ( e3 = op(e2,e3)
& ( e3 != op(e2,e3)
| e3 = unit ) )
| ( e3 = op(e2,e4)
& ( e4 != op(e2,e3)
| e3 = unit ) )
| ( e3 = op(e3,e0)
& ( e0 != op(e3,e3)
| e3 = unit ) )
| ( e3 = op(e3,e1)
& ( e1 != op(e3,e3)
| e3 = unit ) )
| ( e3 = op(e3,e2)
& ( e2 != op(e3,e3)
| e3 = unit ) )
| ( e3 = op(e3,e3)
& ( e3 != op(e3,e3)
| e3 = unit ) )
| ( e3 = op(e3,e4)
& ( e4 != op(e3,e3)
| e3 = unit ) )
| ( e3 = op(e4,e0)
& ( e0 != op(e4,e3)
| e3 = unit ) )
| ( e3 = op(e4,e1)
& ( e1 != op(e4,e3)
| e3 = unit ) )
| ( e3 = op(e4,e2)
& ( e2 != op(e4,e3)
| e3 = unit ) )
| ( e3 = op(e4,e3)
& ( e3 != op(e4,e3)
| e3 = unit ) )
| ( e3 = op(e4,e4)
& ( e4 != op(e4,e3)
| e3 = unit ) ) )
& ( ( e4 = op(e0,e0)
& ( e0 != op(e0,e4)
| e4 = unit ) )
| ( e4 = op(e0,e1)
& ( e1 != op(e0,e4)
| e4 = unit ) )
| ( e4 = op(e0,e2)
& ( e2 != op(e0,e4)
| e4 = unit ) )
| ( e4 = op(e0,e3)
& ( e3 != op(e0,e4)
| e4 = unit ) )
| ( e4 = op(e0,e4)
& ( e4 != op(e0,e4)
| e4 = unit ) )
| ( e4 = op(e1,e0)
& ( e0 != op(e1,e4)
| e4 = unit ) )
| ( e4 = op(e1,e1)
& ( e1 != op(e1,e4)
| e4 = unit ) )
| ( e4 = op(e1,e2)
& ( e2 != op(e1,e4)
| e4 = unit ) )
| ( e4 = op(e1,e3)
& ( e3 != op(e1,e4)
| e4 = unit ) )
| ( e4 = op(e1,e4)
& ( e4 != op(e1,e4)
| e4 = unit ) )
| ( e4 = op(e2,e0)
& ( e0 != op(e2,e4)
| e4 = unit ) )
| ( e4 = op(e2,e1)
& ( e1 != op(e2,e4)
| e4 = unit ) )
| ( e4 = op(e2,e2)
& ( e2 != op(e2,e4)
| e4 = unit ) )
| ( e4 = op(e2,e3)
& ( e3 != op(e2,e4)
| e4 = unit ) )
| ( e4 = op(e2,e4)
& ( e4 != op(e2,e4)
| e4 = unit ) )
| ( e4 = op(e3,e0)
& ( e0 != op(e3,e4)
| e4 = unit ) )
| ( e4 = op(e3,e1)
& ( e1 != op(e3,e4)
| e4 = unit ) )
| ( e4 = op(e3,e2)
& ( e2 != op(e3,e4)
| e4 = unit ) )
| ( e4 = op(e3,e3)
& ( e3 != op(e3,e4)
| e4 = unit ) )
| ( e4 = op(e3,e4)
& ( e4 != op(e3,e4)
| e4 = unit ) )
| ( e4 = op(e4,e0)
& ( e0 != op(e4,e4)
| e4 = unit ) )
| ( e4 = op(e4,e1)
& ( e1 != op(e4,e4)
| e4 = unit ) )
| ( e4 = op(e4,e2)
& ( e2 != op(e4,e4)
| e4 = unit ) )
| ( e4 = op(e4,e3)
& ( e3 != op(e4,e4)
| e4 = unit ) )
| ( e4 = op(e4,e4)
& ( e4 != op(e4,e4)
| e4 = unit ) ) ) )
| ( e0 != op(e0,e0)
& e1 != op(e0,e0)
& e2 != op(e0,e0)
& e3 != op(e0,e0)
& e4 != op(e0,e0) )
| ( e0 != op(e0,e1)
& e1 != op(e0,e1)
& e2 != op(e0,e1)
& e3 != op(e0,e1)
& e4 != op(e0,e1) )
| ( e0 != op(e0,e2)
& e1 != op(e0,e2)
& e2 != op(e0,e2)
& e3 != op(e0,e2)
& e4 != op(e0,e2) )
| ( e0 != op(e0,e3)
& e1 != op(e0,e3)
& e2 != op(e0,e3)
& e3 != op(e0,e3)
& e4 != op(e0,e3) )
| ( e0 != op(e0,e4)
& e1 != op(e0,e4)
& e2 != op(e0,e4)
& e3 != op(e0,e4)
& e4 != op(e0,e4) )
| ( e0 != op(e1,e0)
& e1 != op(e1,e0)
& e2 != op(e1,e0)
& e3 != op(e1,e0)
& e4 != op(e1,e0) )
| ( e0 != op(e1,e1)
& e1 != op(e1,e1)
& e2 != op(e1,e1)
& e3 != op(e1,e1)
& e4 != op(e1,e1) )
| ( e0 != op(e1,e2)
& e1 != op(e1,e2)
& e2 != op(e1,e2)
& e3 != op(e1,e2)
& e4 != op(e1,e2) )
| ( e0 != op(e1,e3)
& e1 != op(e1,e3)
& e2 != op(e1,e3)
& e3 != op(e1,e3)
& e4 != op(e1,e3) )
| ( e0 != op(e1,e4)
& e1 != op(e1,e4)
& e2 != op(e1,e4)
& e3 != op(e1,e4)
& e4 != op(e1,e4) )
| ( e0 != op(e2,e0)
& e1 != op(e2,e0)
& e2 != op(e2,e0)
& e3 != op(e2,e0)
& e4 != op(e2,e0) )
| ( e0 != op(e2,e1)
& e1 != op(e2,e1)
& e2 != op(e2,e1)
& e3 != op(e2,e1)
& e4 != op(e2,e1) )
| ( e0 != op(e2,e2)
& e1 != op(e2,e2)
& e2 != op(e2,e2)
& e3 != op(e2,e2)
& e4 != op(e2,e2) )
| ( e0 != op(e2,e3)
& e1 != op(e2,e3)
& e2 != op(e2,e3)
& e3 != op(e2,e3)
& e4 != op(e2,e3) )
| ( e0 != op(e2,e4)
& e1 != op(e2,e4)
& e2 != op(e2,e4)
& e3 != op(e2,e4)
& e4 != op(e2,e4) )
| ( e0 != op(e3,e0)
& e1 != op(e3,e0)
& e2 != op(e3,e0)
& e3 != op(e3,e0)
& e4 != op(e3,e0) )
| ( e0 != op(e3,e1)
& e1 != op(e3,e1)
& e2 != op(e3,e1)
& e3 != op(e3,e1)
& e4 != op(e3,e1) )
| ( e0 != op(e3,e2)
& e1 != op(e3,e2)
& e2 != op(e3,e2)
& e3 != op(e3,e2)
& e4 != op(e3,e2) )
| ( e0 != op(e3,e3)
& e1 != op(e3,e3)
& e2 != op(e3,e3)
& e3 != op(e3,e3)
& e4 != op(e3,e3) )
| ( e0 != op(e3,e4)
& e1 != op(e3,e4)
& e2 != op(e3,e4)
& e3 != op(e3,e4)
& e4 != op(e3,e4) )
| ( e0 != op(e4,e0)
& e1 != op(e4,e0)
& e2 != op(e4,e0)
& e3 != op(e4,e0)
& e4 != op(e4,e0) )
| ( e0 != op(e4,e1)
& e1 != op(e4,e1)
& e2 != op(e4,e1)
& e3 != op(e4,e1)
& e4 != op(e4,e1) )
| ( e0 != op(e4,e2)
& e1 != op(e4,e2)
& e2 != op(e4,e2)
& e3 != op(e4,e2)
& e4 != op(e4,e2) )
| ( e0 != op(e4,e3)
& e1 != op(e4,e3)
& e2 != op(e4,e3)
& e3 != op(e4,e3)
& e4 != op(e4,e3) )
| ( e0 != op(e4,e4)
& e1 != op(e4,e4)
& e2 != op(e4,e4)
& e3 != op(e4,e4)
& e4 != op(e4,e4) )
| e0 != op(unit,e0)
| e0 != op(e0,unit)
| e1 != op(unit,e1)
| e1 != op(e1,unit)
| e2 != op(unit,e2)
| e2 != op(e2,unit)
| e3 != op(unit,e3)
| e3 != op(e3,unit)
| e4 != op(unit,e4)
| e4 != op(e4,unit)
| ( e0 != unit
& e1 != unit
& e2 != unit
& e3 != unit
& e4 != unit )
| ( e0 != op(e0,e0)
& e0 != op(e0,e1)
& e0 != op(e0,e2)
& e0 != op(e0,e3)
& e0 != op(e0,e4) )
| ( e0 != op(e0,e0)
& e0 != op(e1,e0)
& e0 != op(e2,e0)
& e0 != op(e3,e0)
& e0 != op(e4,e0) )
| ( e1 != op(e0,e0)
& e1 != op(e0,e1)
& e1 != op(e0,e2)
& e1 != op(e0,e3)
& e1 != op(e0,e4) )
| ( e1 != op(e0,e0)
& e1 != op(e1,e0)
& e1 != op(e2,e0)
& e1 != op(e3,e0)
& e1 != op(e4,e0) )
| ( e2 != op(e0,e0)
& e2 != op(e0,e1)
& e2 != op(e0,e2)
& e2 != op(e0,e3)
& e2 != op(e0,e4) )
| ( e2 != op(e0,e0)
& e2 != op(e1,e0)
& e2 != op(e2,e0)
& e2 != op(e3,e0)
& e2 != op(e4,e0) )
| ( e3 != op(e0,e0)
& e3 != op(e0,e1)
& e3 != op(e0,e2)
& e3 != op(e0,e3)
& e3 != op(e0,e4) )
| ( e3 != op(e0,e0)
& e3 != op(e1,e0)
& e3 != op(e2,e0)
& e3 != op(e3,e0)
& e3 != op(e4,e0) )
| ( e4 != op(e0,e0)
& e4 != op(e0,e1)
& e4 != op(e0,e2)
& e4 != op(e0,e3)
& e4 != op(e0,e4) )
| ( e4 != op(e0,e0)
& e4 != op(e1,e0)
& e4 != op(e2,e0)
& e4 != op(e3,e0)
& e4 != op(e4,e0) )
| ( e0 != op(e1,e0)
& e0 != op(e1,e1)
& e0 != op(e1,e2)
& e0 != op(e1,e3)
& e0 != op(e1,e4) )
| ( e0 != op(e0,e1)
& e0 != op(e1,e1)
& e0 != op(e2,e1)
& e0 != op(e3,e1)
& e0 != op(e4,e1) )
| ( e1 != op(e1,e0)
& e1 != op(e1,e1)
& e1 != op(e1,e2)
& e1 != op(e1,e3)
& e1 != op(e1,e4) )
| ( e1 != op(e0,e1)
& e1 != op(e1,e1)
& e1 != op(e2,e1)
& e1 != op(e3,e1)
& e1 != op(e4,e1) )
| ( e2 != op(e1,e0)
& e2 != op(e1,e1)
& e2 != op(e1,e2)
& e2 != op(e1,e3)
& e2 != op(e1,e4) )
| ( e2 != op(e0,e1)
& e2 != op(e1,e1)
& e2 != op(e2,e1)
& e2 != op(e3,e1)
& e2 != op(e4,e1) )
| ( e3 != op(e1,e0)
& e3 != op(e1,e1)
& e3 != op(e1,e2)
& e3 != op(e1,e3)
& e3 != op(e1,e4) )
| ( e3 != op(e0,e1)
& e3 != op(e1,e1)
& e3 != op(e2,e1)
& e3 != op(e3,e1)
& e3 != op(e4,e1) )
| ( e4 != op(e1,e0)
& e4 != op(e1,e1)
& e4 != op(e1,e2)
& e4 != op(e1,e3)
& e4 != op(e1,e4) )
| ( e4 != op(e0,e1)
& e4 != op(e1,e1)
& e4 != op(e2,e1)
& e4 != op(e3,e1)
& e4 != op(e4,e1) )
| ( e0 != op(e2,e0)
& e0 != op(e2,e1)
& e0 != op(e2,e2)
& e0 != op(e2,e3)
& e0 != op(e2,e4) )
| ( e0 != op(e0,e2)
& e0 != op(e1,e2)
& e0 != op(e2,e2)
& e0 != op(e3,e2)
& e0 != op(e4,e2) )
| ( e1 != op(e2,e0)
& e1 != op(e2,e1)
& e1 != op(e2,e2)
& e1 != op(e2,e3)
& e1 != op(e2,e4) )
| ( e1 != op(e0,e2)
& e1 != op(e1,e2)
& e1 != op(e2,e2)
& e1 != op(e3,e2)
& e1 != op(e4,e2) )
| ( e2 != op(e2,e0)
& e2 != op(e2,e1)
& e2 != op(e2,e2)
& e2 != op(e2,e3)
& e2 != op(e2,e4) )
| ( e2 != op(e0,e2)
& e2 != op(e1,e2)
& e2 != op(e2,e2)
& e2 != op(e3,e2)
& e2 != op(e4,e2) )
| ( e3 != op(e2,e0)
& e3 != op(e2,e1)
& e3 != op(e2,e2)
& e3 != op(e2,e3)
& e3 != op(e2,e4) )
| ( e3 != op(e0,e2)
& e3 != op(e1,e2)
& e3 != op(e2,e2)
& e3 != op(e3,e2)
& e3 != op(e4,e2) )
| ( e4 != op(e2,e0)
& e4 != op(e2,e1)
& e4 != op(e2,e2)
& e4 != op(e2,e3)
& e4 != op(e2,e4) )
| ( e4 != op(e0,e2)
& e4 != op(e1,e2)
& e4 != op(e2,e2)
& e4 != op(e3,e2)
& e4 != op(e4,e2) )
| ( e0 != op(e3,e0)
& e0 != op(e3,e1)
& e0 != op(e3,e2)
& e0 != op(e3,e3)
& e0 != op(e3,e4) )
| ( e0 != op(e0,e3)
& e0 != op(e1,e3)
& e0 != op(e2,e3)
& e0 != op(e3,e3)
& e0 != op(e4,e3) )
| ( e1 != op(e3,e0)
& e1 != op(e3,e1)
& e1 != op(e3,e2)
& e1 != op(e3,e3)
& e1 != op(e3,e4) )
| ( e1 != op(e0,e3)
& e1 != op(e1,e3)
& e1 != op(e2,e3)
& e1 != op(e3,e3)
& e1 != op(e4,e3) )
| ( e2 != op(e3,e0)
& e2 != op(e3,e1)
& e2 != op(e3,e2)
& e2 != op(e3,e3)
& e2 != op(e3,e4) )
| ( e2 != op(e0,e3)
& e2 != op(e1,e3)
& e2 != op(e2,e3)
& e2 != op(e3,e3)
& e2 != op(e4,e3) )
| ( e3 != op(e3,e0)
& e3 != op(e3,e1)
& e3 != op(e3,e2)
& e3 != op(e3,e3)
& e3 != op(e3,e4) )
| ( e3 != op(e0,e3)
& e3 != op(e1,e3)
& e3 != op(e2,e3)
& e3 != op(e3,e3)
& e3 != op(e4,e3) )
| ( e4 != op(e3,e0)
& e4 != op(e3,e1)
& e4 != op(e3,e2)
& e4 != op(e3,e3)
& e4 != op(e3,e4) )
| ( e4 != op(e0,e3)
& e4 != op(e1,e3)
& e4 != op(e2,e3)
& e4 != op(e3,e3)
& e4 != op(e4,e3) )
| ( e0 != op(e4,e0)
& e0 != op(e4,e1)
& e0 != op(e4,e2)
& e0 != op(e4,e3)
& e0 != op(e4,e4) )
| ( e0 != op(e0,e4)
& e0 != op(e1,e4)
& e0 != op(e2,e4)
& e0 != op(e3,e4)
& e0 != op(e4,e4) )
| ( e1 != op(e4,e0)
& e1 != op(e4,e1)
& e1 != op(e4,e2)
& e1 != op(e4,e3)
& e1 != op(e4,e4) )
| ( e1 != op(e0,e4)
& e1 != op(e1,e4)
& e1 != op(e2,e4)
& e1 != op(e3,e4)
& e1 != op(e4,e4) )
| ( e2 != op(e4,e0)
& e2 != op(e4,e1)
& e2 != op(e4,e2)
& e2 != op(e4,e3)
& e2 != op(e4,e4) )
| ( e2 != op(e0,e4)
& e2 != op(e1,e4)
& e2 != op(e2,e4)
& e2 != op(e3,e4)
& e2 != op(e4,e4) )
| ( e3 != op(e4,e0)
& e3 != op(e4,e1)
& e3 != op(e4,e2)
& e3 != op(e4,e3)
& e3 != op(e4,e4) )
| ( e3 != op(e0,e4)
& e3 != op(e1,e4)
& e3 != op(e2,e4)
& e3 != op(e3,e4)
& e3 != op(e4,e4) )
| ( e4 != op(e4,e0)
& e4 != op(e4,e1)
& e4 != op(e4,e2)
& e4 != op(e4,e3)
& e4 != op(e4,e4) )
| ( e4 != op(e0,e4)
& e4 != op(e1,e4)
& e4 != op(e2,e4)
& e4 != op(e3,e4)
& e4 != op(e4,e4) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f7,definition,
( ( e4 = op(e4,e4)
& ( e4 != op(e4,e4)
| e4 = unit ) )
| ~ sP0 ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f8,definition,
( ( e4 = op(e4,e3)
& ( e3 != op(e4,e4)
| e4 = unit ) )
| ~ sP1 ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f9,definition,
( ( e4 = op(e4,e2)
& ( e2 != op(e4,e4)
| e4 = unit ) )
| ~ sP2 ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f10,definition,
( ( e4 = op(e4,e1)
& ( e1 != op(e4,e4)
| e4 = unit ) )
| ~ sP3 ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f11,definition,
( ( e4 = op(e4,e0)
& ( e0 != op(e4,e4)
| e4 = unit ) )
| ~ sP4 ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f12,definition,
( ( e4 = op(e3,e4)
& ( e4 != op(e3,e4)
| e4 = unit ) )
| ~ sP5 ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f13,definition,
( ( e4 = op(e3,e3)
& ( e3 != op(e3,e4)
| e4 = unit ) )
| ~ sP6 ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f14,definition,
( ( e4 = op(e3,e2)
& ( e2 != op(e3,e4)
| e4 = unit ) )
| ~ sP7 ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f15,definition,
( ( e4 = op(e3,e1)
& ( e1 != op(e3,e4)
| e4 = unit ) )
| ~ sP8 ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f16,definition,
( ( e4 = op(e3,e0)
& ( e0 != op(e3,e4)
| e4 = unit ) )
| ~ sP9 ),
introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).
fof(f17,definition,
( ( e4 = op(e2,e4)
& ( e4 != op(e2,e4)
| e4 = unit ) )
| ~ sP10 ),
introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).
fof(f18,definition,
( ( e4 = op(e2,e3)
& ( e3 != op(e2,e4)
| e4 = unit ) )
| ~ sP11 ),
introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).
fof(f19,definition,
( ( e4 = op(e2,e2)
& ( e2 != op(e2,e4)
| e4 = unit ) )
| ~ sP12 ),
introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).
fof(f20,definition,
( ( e4 = op(e2,e1)
& ( e1 != op(e2,e4)
| e4 = unit ) )
| ~ sP13 ),
introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).
fof(f21,definition,
( ( e4 = op(e2,e0)
& ( e0 != op(e2,e4)
| e4 = unit ) )
| ~ sP14 ),
introduced(definition,[new_symbols(definition,[sP14])],[predicate_definition_introduction]) ).
fof(f22,definition,
( ( e4 = op(e1,e4)
& ( e4 != op(e1,e4)
| e4 = unit ) )
| ~ sP15 ),
introduced(definition,[new_symbols(definition,[sP15])],[predicate_definition_introduction]) ).
fof(f23,definition,
( ( e4 = op(e1,e3)
& ( e3 != op(e1,e4)
| e4 = unit ) )
| ~ sP16 ),
introduced(definition,[new_symbols(definition,[sP16])],[predicate_definition_introduction]) ).
fof(f24,definition,
( ( e4 = op(e1,e2)
& ( e2 != op(e1,e4)
| e4 = unit ) )
| ~ sP17 ),
introduced(definition,[new_symbols(definition,[sP17])],[predicate_definition_introduction]) ).
fof(f25,definition,
( ( e4 = op(e1,e1)
& ( e1 != op(e1,e4)
| e4 = unit ) )
| ~ sP18 ),
introduced(definition,[new_symbols(definition,[sP18])],[predicate_definition_introduction]) ).
fof(f26,definition,
( ( e4 = op(e1,e0)
& ( e0 != op(e1,e4)
| e4 = unit ) )
| ~ sP19 ),
introduced(definition,[new_symbols(definition,[sP19])],[predicate_definition_introduction]) ).
fof(f27,definition,
( ( e4 = op(e0,e4)
& ( e4 != op(e0,e4)
| e4 = unit ) )
| ~ sP20 ),
introduced(definition,[new_symbols(definition,[sP20])],[predicate_definition_introduction]) ).
fof(f28,definition,
( ( e4 = op(e0,e3)
& ( e3 != op(e0,e4)
| e4 = unit ) )
| ~ sP21 ),
introduced(definition,[new_symbols(definition,[sP21])],[predicate_definition_introduction]) ).
fof(f29,definition,
( ( e3 = op(e4,e4)
& ( e4 != op(e4,e3)
| e3 = unit ) )
| ~ sP22 ),
introduced(definition,[new_symbols(definition,[sP22])],[predicate_definition_introduction]) ).
fof(f30,definition,
( ( e3 = op(e4,e3)
& ( e3 != op(e4,e3)
| e3 = unit ) )
| ~ sP23 ),
introduced(definition,[new_symbols(definition,[sP23])],[predicate_definition_introduction]) ).
fof(f31,definition,
( ( e3 = op(e4,e2)
& ( e2 != op(e4,e3)
| e3 = unit ) )
| ~ sP24 ),
introduced(definition,[new_symbols(definition,[sP24])],[predicate_definition_introduction]) ).
fof(f32,definition,
( ( e3 = op(e4,e1)
& ( e1 != op(e4,e3)
| e3 = unit ) )
| ~ sP25 ),
introduced(definition,[new_symbols(definition,[sP25])],[predicate_definition_introduction]) ).
fof(f33,definition,
( ( e3 = op(e4,e0)
& ( e0 != op(e4,e3)
| e3 = unit ) )
| ~ sP26 ),
introduced(definition,[new_symbols(definition,[sP26])],[predicate_definition_introduction]) ).
fof(f34,definition,
( ( e3 = op(e3,e4)
& ( e4 != op(e3,e3)
| e3 = unit ) )
| ~ sP27 ),
introduced(definition,[new_symbols(definition,[sP27])],[predicate_definition_introduction]) ).
fof(f35,definition,
( ( e3 = op(e3,e3)
& ( e3 != op(e3,e3)
| e3 = unit ) )
| ~ sP28 ),
introduced(definition,[new_symbols(definition,[sP28])],[predicate_definition_introduction]) ).
fof(f36,definition,
( ( e3 = op(e3,e2)
& ( e2 != op(e3,e3)
| e3 = unit ) )
| ~ sP29 ),
introduced(definition,[new_symbols(definition,[sP29])],[predicate_definition_introduction]) ).
fof(f37,definition,
( ( e3 = op(e3,e1)
& ( e1 != op(e3,e3)
| e3 = unit ) )
| ~ sP30 ),
introduced(definition,[new_symbols(definition,[sP30])],[predicate_definition_introduction]) ).
fof(f38,definition,
( ( e3 = op(e3,e0)
& ( e0 != op(e3,e3)
| e3 = unit ) )
| ~ sP31 ),
introduced(definition,[new_symbols(definition,[sP31])],[predicate_definition_introduction]) ).
fof(f39,definition,
( ( e3 = op(e2,e4)
& ( e4 != op(e2,e3)
| e3 = unit ) )
| ~ sP32 ),
introduced(definition,[new_symbols(definition,[sP32])],[predicate_definition_introduction]) ).
fof(f40,definition,
( ( e3 = op(e2,e3)
& ( e3 != op(e2,e3)
| e3 = unit ) )
| ~ sP33 ),
introduced(definition,[new_symbols(definition,[sP33])],[predicate_definition_introduction]) ).
fof(f41,definition,
( ( e3 = op(e2,e2)
& ( e2 != op(e2,e3)
| e3 = unit ) )
| ~ sP34 ),
introduced(definition,[new_symbols(definition,[sP34])],[predicate_definition_introduction]) ).
fof(f42,definition,
( ( e3 = op(e2,e1)
& ( e1 != op(e2,e3)
| e3 = unit ) )
| ~ sP35 ),
introduced(definition,[new_symbols(definition,[sP35])],[predicate_definition_introduction]) ).
fof(f43,definition,
( ( e3 = op(e2,e0)
& ( e0 != op(e2,e3)
| e3 = unit ) )
| ~ sP36 ),
introduced(definition,[new_symbols(definition,[sP36])],[predicate_definition_introduction]) ).
fof(f44,definition,
( ( e3 = op(e1,e4)
& ( e4 != op(e1,e3)
| e3 = unit ) )
| ~ sP37 ),
introduced(definition,[new_symbols(definition,[sP37])],[predicate_definition_introduction]) ).
fof(f45,definition,
( ( e3 = op(e1,e3)
& ( e3 != op(e1,e3)
| e3 = unit ) )
| ~ sP38 ),
introduced(definition,[new_symbols(definition,[sP38])],[predicate_definition_introduction]) ).
fof(f46,definition,
( ( e3 = op(e1,e2)
& ( e2 != op(e1,e3)
| e3 = unit ) )
| ~ sP39 ),
introduced(definition,[new_symbols(definition,[sP39])],[predicate_definition_introduction]) ).
fof(f47,definition,
( ( e3 = op(e1,e1)
& ( e1 != op(e1,e3)
| e3 = unit ) )
| ~ sP40 ),
introduced(definition,[new_symbols(definition,[sP40])],[predicate_definition_introduction]) ).
fof(f48,definition,
( ( e3 = op(e1,e0)
& ( e0 != op(e1,e3)
| e3 = unit ) )
| ~ sP41 ),
introduced(definition,[new_symbols(definition,[sP41])],[predicate_definition_introduction]) ).
fof(f49,definition,
( ( e3 = op(e0,e4)
& ( e4 != op(e0,e3)
| e3 = unit ) )
| ~ sP42 ),
introduced(definition,[new_symbols(definition,[sP42])],[predicate_definition_introduction]) ).
fof(f50,definition,
( ( e3 = op(e0,e3)
& ( e3 != op(e0,e3)
| e3 = unit ) )
| ~ sP43 ),
introduced(definition,[new_symbols(definition,[sP43])],[predicate_definition_introduction]) ).
fof(f51,definition,
( ( e2 = op(e4,e4)
& ( e4 != op(e4,e2)
| e2 = unit ) )
| ~ sP44 ),
introduced(definition,[new_symbols(definition,[sP44])],[predicate_definition_introduction]) ).
fof(f52,definition,
( ( e2 = op(e4,e3)
& ( e3 != op(e4,e2)
| e2 = unit ) )
| ~ sP45 ),
introduced(definition,[new_symbols(definition,[sP45])],[predicate_definition_introduction]) ).
fof(f53,definition,
( ( e2 = op(e4,e2)
& ( e2 != op(e4,e2)
| e2 = unit ) )
| ~ sP46 ),
introduced(definition,[new_symbols(definition,[sP46])],[predicate_definition_introduction]) ).
fof(f54,definition,
( ( e2 = op(e4,e1)
& ( e1 != op(e4,e2)
| e2 = unit ) )
| ~ sP47 ),
introduced(definition,[new_symbols(definition,[sP47])],[predicate_definition_introduction]) ).
fof(f55,definition,
( ( e2 = op(e4,e0)
& ( e0 != op(e4,e2)
| e2 = unit ) )
| ~ sP48 ),
introduced(definition,[new_symbols(definition,[sP48])],[predicate_definition_introduction]) ).
fof(f56,definition,
( ( e2 = op(e3,e4)
& ( e4 != op(e3,e2)
| e2 = unit ) )
| ~ sP49 ),
introduced(definition,[new_symbols(definition,[sP49])],[predicate_definition_introduction]) ).
fof(f57,definition,
( ( e2 = op(e3,e3)
& ( e3 != op(e3,e2)
| e2 = unit ) )
| ~ sP50 ),
introduced(definition,[new_symbols(definition,[sP50])],[predicate_definition_introduction]) ).
fof(f58,definition,
( ( e2 = op(e3,e2)
& ( e2 != op(e3,e2)
| e2 = unit ) )
| ~ sP51 ),
introduced(definition,[new_symbols(definition,[sP51])],[predicate_definition_introduction]) ).
fof(f59,definition,
( ( e2 = op(e3,e1)
& ( e1 != op(e3,e2)
| e2 = unit ) )
| ~ sP52 ),
introduced(definition,[new_symbols(definition,[sP52])],[predicate_definition_introduction]) ).
fof(f60,definition,
( ( e2 = op(e3,e0)
& ( e0 != op(e3,e2)
| e2 = unit ) )
| ~ sP53 ),
introduced(definition,[new_symbols(definition,[sP53])],[predicate_definition_introduction]) ).
fof(f61,definition,
( ( e2 = op(e2,e4)
& ( e4 != op(e2,e2)
| e2 = unit ) )
| ~ sP54 ),
introduced(definition,[new_symbols(definition,[sP54])],[predicate_definition_introduction]) ).
fof(f62,definition,
( ( e2 = op(e2,e3)
& ( e3 != op(e2,e2)
| e2 = unit ) )
| ~ sP55 ),
introduced(definition,[new_symbols(definition,[sP55])],[predicate_definition_introduction]) ).
fof(f63,definition,
( ( e2 = op(e2,e2)
& ( e2 != op(e2,e2)
| e2 = unit ) )
| ~ sP56 ),
introduced(definition,[new_symbols(definition,[sP56])],[predicate_definition_introduction]) ).
fof(f64,definition,
( ( e2 = op(e2,e1)
& ( e1 != op(e2,e2)
| e2 = unit ) )
| ~ sP57 ),
introduced(definition,[new_symbols(definition,[sP57])],[predicate_definition_introduction]) ).
fof(f65,definition,
( ( e2 = op(e2,e0)
& ( e0 != op(e2,e2)
| e2 = unit ) )
| ~ sP58 ),
introduced(definition,[new_symbols(definition,[sP58])],[predicate_definition_introduction]) ).
fof(f66,definition,
( ( e2 = op(e1,e4)
& ( e4 != op(e1,e2)
| e2 = unit ) )
| ~ sP59 ),
introduced(definition,[new_symbols(definition,[sP59])],[predicate_definition_introduction]) ).
fof(f67,definition,
( ( e2 = op(e1,e3)
& ( e3 != op(e1,e2)
| e2 = unit ) )
| ~ sP60 ),
introduced(definition,[new_symbols(definition,[sP60])],[predicate_definition_introduction]) ).
fof(f68,definition,
( ( e2 = op(e1,e2)
& ( e2 != op(e1,e2)
| e2 = unit ) )
| ~ sP61 ),
introduced(definition,[new_symbols(definition,[sP61])],[predicate_definition_introduction]) ).
fof(f69,definition,
( ( e2 = op(e1,e1)
& ( e1 != op(e1,e2)
| e2 = unit ) )
| ~ sP62 ),
introduced(definition,[new_symbols(definition,[sP62])],[predicate_definition_introduction]) ).
fof(f70,definition,
( ( e2 = op(e1,e0)
& ( e0 != op(e1,e2)
| e2 = unit ) )
| ~ sP63 ),
introduced(definition,[new_symbols(definition,[sP63])],[predicate_definition_introduction]) ).
fof(f71,definition,
( ( e2 = op(e0,e4)
& ( e4 != op(e0,e2)
| e2 = unit ) )
| ~ sP64 ),
introduced(definition,[new_symbols(definition,[sP64])],[predicate_definition_introduction]) ).
fof(f72,definition,
( ( e2 = op(e0,e3)
& ( e3 != op(e0,e2)
| e2 = unit ) )
| ~ sP65 ),
introduced(definition,[new_symbols(definition,[sP65])],[predicate_definition_introduction]) ).
fof(f73,definition,
( ( e1 = op(e4,e4)
& ( e4 != op(e4,e1)
| e1 = unit ) )
| ~ sP66 ),
introduced(definition,[new_symbols(definition,[sP66])],[predicate_definition_introduction]) ).
fof(f74,definition,
( ( e1 = op(e4,e3)
& ( e3 != op(e4,e1)
| e1 = unit ) )
| ~ sP67 ),
introduced(definition,[new_symbols(definition,[sP67])],[predicate_definition_introduction]) ).
fof(f75,definition,
( ( e1 = op(e4,e2)
& ( e2 != op(e4,e1)
| e1 = unit ) )
| ~ sP68 ),
introduced(definition,[new_symbols(definition,[sP68])],[predicate_definition_introduction]) ).
fof(f76,definition,
( ( e1 = op(e4,e1)
& ( e1 != op(e4,e1)
| e1 = unit ) )
| ~ sP69 ),
introduced(definition,[new_symbols(definition,[sP69])],[predicate_definition_introduction]) ).
fof(f77,definition,
( ( e1 = op(e4,e0)
& ( e0 != op(e4,e1)
| e1 = unit ) )
| ~ sP70 ),
introduced(definition,[new_symbols(definition,[sP70])],[predicate_definition_introduction]) ).
fof(f78,definition,
( ( e1 = op(e3,e4)
& ( e4 != op(e3,e1)
| e1 = unit ) )
| ~ sP71 ),
introduced(definition,[new_symbols(definition,[sP71])],[predicate_definition_introduction]) ).
fof(f79,definition,
( ( e1 = op(e3,e3)
& ( e3 != op(e3,e1)
| e1 = unit ) )
| ~ sP72 ),
introduced(definition,[new_symbols(definition,[sP72])],[predicate_definition_introduction]) ).
fof(f80,definition,
( ( e1 = op(e3,e2)
& ( e2 != op(e3,e1)
| e1 = unit ) )
| ~ sP73 ),
introduced(definition,[new_symbols(definition,[sP73])],[predicate_definition_introduction]) ).
fof(f81,definition,
( ( e1 = op(e3,e1)
& ( e1 != op(e3,e1)
| e1 = unit ) )
| ~ sP74 ),
introduced(definition,[new_symbols(definition,[sP74])],[predicate_definition_introduction]) ).
fof(f82,definition,
( ( e1 = op(e3,e0)
& ( e0 != op(e3,e1)
| e1 = unit ) )
| ~ sP75 ),
introduced(definition,[new_symbols(definition,[sP75])],[predicate_definition_introduction]) ).
fof(f83,definition,
( ( e1 = op(e2,e4)
& ( e4 != op(e2,e1)
| e1 = unit ) )
| ~ sP76 ),
introduced(definition,[new_symbols(definition,[sP76])],[predicate_definition_introduction]) ).
fof(f84,definition,
( ( e1 = op(e2,e3)
& ( e3 != op(e2,e1)
| e1 = unit ) )
| ~ sP77 ),
introduced(definition,[new_symbols(definition,[sP77])],[predicate_definition_introduction]) ).
fof(f85,definition,
( ( e1 = op(e2,e2)
& ( e2 != op(e2,e1)
| e1 = unit ) )
| ~ sP78 ),
introduced(definition,[new_symbols(definition,[sP78])],[predicate_definition_introduction]) ).
fof(f86,definition,
( ( e1 = op(e2,e1)
& ( e1 != op(e2,e1)
| e1 = unit ) )
| ~ sP79 ),
introduced(definition,[new_symbols(definition,[sP79])],[predicate_definition_introduction]) ).
fof(f87,definition,
( ( e1 = op(e2,e0)
& ( e0 != op(e2,e1)
| e1 = unit ) )
| ~ sP80 ),
introduced(definition,[new_symbols(definition,[sP80])],[predicate_definition_introduction]) ).
fof(f88,definition,
( ( e1 = op(e1,e4)
& ( e4 != op(e1,e1)
| e1 = unit ) )
| ~ sP81 ),
introduced(definition,[new_symbols(definition,[sP81])],[predicate_definition_introduction]) ).
fof(f89,definition,
( ( e1 = op(e1,e3)
& ( e3 != op(e1,e1)
| e1 = unit ) )
| ~ sP82 ),
introduced(definition,[new_symbols(definition,[sP82])],[predicate_definition_introduction]) ).
fof(f90,definition,
( ( e1 = op(e1,e2)
& ( e2 != op(e1,e1)
| e1 = unit ) )
| ~ sP83 ),
introduced(definition,[new_symbols(definition,[sP83])],[predicate_definition_introduction]) ).
fof(f91,definition,
( ( e1 = op(e1,e1)
& ( e1 != op(e1,e1)
| e1 = unit ) )
| ~ sP84 ),
introduced(definition,[new_symbols(definition,[sP84])],[predicate_definition_introduction]) ).
fof(f92,definition,
( ( e1 = op(e1,e0)
& ( e0 != op(e1,e1)
| e1 = unit ) )
| ~ sP85 ),
introduced(definition,[new_symbols(definition,[sP85])],[predicate_definition_introduction]) ).
fof(f93,definition,
( ( e1 = op(e0,e4)
& ( e4 != op(e0,e1)
| e1 = unit ) )
| ~ sP86 ),
introduced(definition,[new_symbols(definition,[sP86])],[predicate_definition_introduction]) ).
fof(f94,definition,
( ( e1 = op(e0,e3)
& ( e3 != op(e0,e1)
| e1 = unit ) )
| ~ sP87 ),
introduced(definition,[new_symbols(definition,[sP87])],[predicate_definition_introduction]) ).
fof(f95,definition,
( ( e0 = op(e4,e4)
& ( e4 != op(e4,e0)
| e0 = unit ) )
| ~ sP88 ),
introduced(definition,[new_symbols(definition,[sP88])],[predicate_definition_introduction]) ).
fof(f96,definition,
( ( e0 = op(e4,e3)
& ( e3 != op(e4,e0)
| e0 = unit ) )
| ~ sP89 ),
introduced(definition,[new_symbols(definition,[sP89])],[predicate_definition_introduction]) ).
fof(f97,definition,
( ( e0 = op(e4,e2)
& ( e2 != op(e4,e0)
| e0 = unit ) )
| ~ sP90 ),
introduced(definition,[new_symbols(definition,[sP90])],[predicate_definition_introduction]) ).
fof(f98,definition,
( ( e0 = op(e4,e1)
& ( e1 != op(e4,e0)
| e0 = unit ) )
| ~ sP91 ),
introduced(definition,[new_symbols(definition,[sP91])],[predicate_definition_introduction]) ).
fof(f99,definition,
( ( e0 = op(e4,e0)
& ( e0 != op(e4,e0)
| e0 = unit ) )
| ~ sP92 ),
introduced(definition,[new_symbols(definition,[sP92])],[predicate_definition_introduction]) ).
fof(f100,definition,
( ( e0 = op(e3,e4)
& ( e4 != op(e3,e0)
| e0 = unit ) )
| ~ sP93 ),
introduced(definition,[new_symbols(definition,[sP93])],[predicate_definition_introduction]) ).
fof(f101,definition,
( ( e0 = op(e3,e3)
& ( e3 != op(e3,e0)
| e0 = unit ) )
| ~ sP94 ),
introduced(definition,[new_symbols(definition,[sP94])],[predicate_definition_introduction]) ).
fof(f102,definition,
( ( e0 = op(e3,e2)
& ( e2 != op(e3,e0)
| e0 = unit ) )
| ~ sP95 ),
introduced(definition,[new_symbols(definition,[sP95])],[predicate_definition_introduction]) ).
fof(f103,definition,
( ( e0 = op(e3,e1)
& ( e1 != op(e3,e0)
| e0 = unit ) )
| ~ sP96 ),
introduced(definition,[new_symbols(definition,[sP96])],[predicate_definition_introduction]) ).
fof(f104,definition,
( ( e0 = op(e3,e0)
& ( e0 != op(e3,e0)
| e0 = unit ) )
| ~ sP97 ),
introduced(definition,[new_symbols(definition,[sP97])],[predicate_definition_introduction]) ).
fof(f105,definition,
( ( e0 = op(e2,e4)
& ( e4 != op(e2,e0)
| e0 = unit ) )
| ~ sP98 ),
introduced(definition,[new_symbols(definition,[sP98])],[predicate_definition_introduction]) ).
fof(f106,definition,
( ( e0 = op(e2,e3)
& ( e3 != op(e2,e0)
| e0 = unit ) )
| ~ sP99 ),
introduced(definition,[new_symbols(definition,[sP99])],[predicate_definition_introduction]) ).
fof(f107,definition,
( ( e0 = op(e2,e2)
& ( e2 != op(e2,e0)
| e0 = unit ) )
| ~ sP100 ),
introduced(definition,[new_symbols(definition,[sP100])],[predicate_definition_introduction]) ).
fof(f108,definition,
( ( e0 = op(e2,e1)
& ( e1 != op(e2,e0)
| e0 = unit ) )
| ~ sP101 ),
introduced(definition,[new_symbols(definition,[sP101])],[predicate_definition_introduction]) ).
fof(f109,definition,
( ( e0 = op(e2,e0)
& ( e0 != op(e2,e0)
| e0 = unit ) )
| ~ sP102 ),
introduced(definition,[new_symbols(definition,[sP102])],[predicate_definition_introduction]) ).
fof(f110,definition,
( ( e0 = op(e1,e4)
& ( e4 != op(e1,e0)
| e0 = unit ) )
| ~ sP103 ),
introduced(definition,[new_symbols(definition,[sP103])],[predicate_definition_introduction]) ).
fof(f111,definition,
( ( e0 = op(e1,e3)
& ( e3 != op(e1,e0)
| e0 = unit ) )
| ~ sP104 ),
introduced(definition,[new_symbols(definition,[sP104])],[predicate_definition_introduction]) ).
fof(f112,definition,
( ( e0 = op(e1,e2)
& ( e2 != op(e1,e0)
| e0 = unit ) )
| ~ sP105 ),
introduced(definition,[new_symbols(definition,[sP105])],[predicate_definition_introduction]) ).
fof(f113,definition,
( ( e0 = op(e1,e1)
& ( e1 != op(e1,e0)
| e0 = unit ) )
| ~ sP106 ),
introduced(definition,[new_symbols(definition,[sP106])],[predicate_definition_introduction]) ).
fof(f114,definition,
( ( e0 = op(e1,e0)
& ( e0 != op(e1,e0)
| e0 = unit ) )
| ~ sP107 ),
introduced(definition,[new_symbols(definition,[sP107])],[predicate_definition_introduction]) ).
fof(f115,definition,
( ( e0 = op(e0,e4)
& ( e4 != op(e0,e0)
| e0 = unit ) )
| ~ sP108 ),
introduced(definition,[new_symbols(definition,[sP108])],[predicate_definition_introduction]) ).
fof(f116,definition,
( ( e0 = op(e0,e3)
& ( e3 != op(e0,e0)
| e0 = unit ) )
| ~ sP109 ),
introduced(definition,[new_symbols(definition,[sP109])],[predicate_definition_introduction]) ).
fof(f117,definition,
( ( e4 = op(e0,e0)
& ( e0 != op(e0,e4)
| e4 = unit ) )
| ( e4 = op(e0,e1)
& ( e1 != op(e0,e4)
| e4 = unit ) )
| ( e4 = op(e0,e2)
& ( e2 != op(e0,e4)
| e4 = unit ) )
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0
| ~ sP110 ),
introduced(definition,[new_symbols(definition,[sP110])],[predicate_definition_introduction]) ).
fof(f118,definition,
( ( e3 = op(e0,e0)
& ( e0 != op(e0,e3)
| e3 = unit ) )
| ( e3 = op(e0,e1)
& ( e1 != op(e0,e3)
| e3 = unit ) )
| ( e3 = op(e0,e2)
& ( e2 != op(e0,e3)
| e3 = unit ) )
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| ~ sP111 ),
introduced(definition,[new_symbols(definition,[sP111])],[predicate_definition_introduction]) ).
fof(f119,definition,
( ( e2 = op(e0,e0)
& ( e0 != op(e0,e2)
| e2 = unit ) )
| ( e2 = op(e0,e1)
& ( e1 != op(e0,e2)
| e2 = unit ) )
| ( e2 = op(e0,e2)
& ( e2 != op(e0,e2)
| e2 = unit ) )
| sP65
| sP64
| sP63
| sP62
| sP61
| sP60
| sP59
| sP58
| sP57
| sP56
| sP55
| sP54
| sP53
| sP52
| sP51
| sP50
| sP49
| sP48
| sP47
| sP46
| sP45
| sP44
| ~ sP112 ),
introduced(definition,[new_symbols(definition,[sP112])],[predicate_definition_introduction]) ).
fof(f120,definition,
( ( e1 = op(e0,e0)
& ( e0 != op(e0,e1)
| e1 = unit ) )
| ( e1 = op(e0,e1)
& ( e1 != op(e0,e1)
| e1 = unit ) )
| ( e1 = op(e0,e2)
& ( e2 != op(e0,e1)
| e1 = unit ) )
| sP87
| sP86
| sP85
| sP84
| sP83
| sP82
| sP81
| sP80
| sP79
| sP78
| sP77
| sP76
| sP75
| sP74
| sP73
| sP72
| sP71
| sP70
| sP69
| sP68
| sP67
| sP66
| ~ sP113 ),
introduced(definition,[new_symbols(definition,[sP113])],[predicate_definition_introduction]) ).
fof(f121,definition,
( ( e0 = op(e0,e0)
& ( e0 != op(e0,e0)
| e0 = unit ) )
| ( e0 = op(e0,e1)
& ( e1 != op(e0,e0)
| e0 = unit ) )
| ( e0 = op(e0,e2)
& ( e2 != op(e0,e0)
| e0 = unit ) )
| sP109
| sP108
| sP107
| sP106
| sP105
| sP104
| sP103
| sP102
| sP101
| sP100
| sP99
| sP98
| sP97
| sP96
| sP95
| sP94
| sP93
| sP92
| sP91
| sP90
| sP89
| sP88
| ~ sP114 ),
introduced(definition,[new_symbols(definition,[sP114])],[predicate_definition_introduction]) ).
fof(f122,definition,
( ( e4 != op(e0,e4)
& e4 != op(e1,e4)
& e4 != op(e2,e4)
& e4 != op(e3,e4)
& e4 != op(e4,e4) )
| ~ sP115 ),
introduced(definition,[new_symbols(definition,[sP115])],[predicate_definition_introduction]) ).
fof(f123,definition,
( ( e4 != op(e4,e0)
& e4 != op(e4,e1)
& e4 != op(e4,e2)
& e4 != op(e4,e3)
& e4 != op(e4,e4) )
| ~ sP116 ),
introduced(definition,[new_symbols(definition,[sP116])],[predicate_definition_introduction]) ).
fof(f124,definition,
( ( e3 != op(e0,e4)
& e3 != op(e1,e4)
& e3 != op(e2,e4)
& e3 != op(e3,e4)
& e3 != op(e4,e4) )
| ~ sP117 ),
introduced(definition,[new_symbols(definition,[sP117])],[predicate_definition_introduction]) ).
fof(f125,definition,
( ( e3 != op(e4,e0)
& e3 != op(e4,e1)
& e3 != op(e4,e2)
& e3 != op(e4,e3)
& e3 != op(e4,e4) )
| ~ sP118 ),
introduced(definition,[new_symbols(definition,[sP118])],[predicate_definition_introduction]) ).
fof(f126,definition,
( ( e2 != op(e0,e4)
& e2 != op(e1,e4)
& e2 != op(e2,e4)
& e2 != op(e3,e4)
& e2 != op(e4,e4) )
| ~ sP119 ),
introduced(definition,[new_symbols(definition,[sP119])],[predicate_definition_introduction]) ).
fof(f127,definition,
( ( e2 != op(e4,e0)
& e2 != op(e4,e1)
& e2 != op(e4,e2)
& e2 != op(e4,e3)
& e2 != op(e4,e4) )
| ~ sP120 ),
introduced(definition,[new_symbols(definition,[sP120])],[predicate_definition_introduction]) ).
fof(f128,definition,
( ( e1 != op(e0,e4)
& e1 != op(e1,e4)
& e1 != op(e2,e4)
& e1 != op(e3,e4)
& e1 != op(e4,e4) )
| ~ sP121 ),
introduced(definition,[new_symbols(definition,[sP121])],[predicate_definition_introduction]) ).
fof(f129,definition,
( ( e1 != op(e4,e0)
& e1 != op(e4,e1)
& e1 != op(e4,e2)
& e1 != op(e4,e3)
& e1 != op(e4,e4) )
| ~ sP122 ),
introduced(definition,[new_symbols(definition,[sP122])],[predicate_definition_introduction]) ).
fof(f130,definition,
( ( e0 != op(e0,e4)
& e0 != op(e1,e4)
& e0 != op(e2,e4)
& e0 != op(e3,e4)
& e0 != op(e4,e4) )
| ~ sP123 ),
introduced(definition,[new_symbols(definition,[sP123])],[predicate_definition_introduction]) ).
fof(f131,definition,
( ( e0 != op(e4,e0)
& e0 != op(e4,e1)
& e0 != op(e4,e2)
& e0 != op(e4,e3)
& e0 != op(e4,e4) )
| ~ sP124 ),
introduced(definition,[new_symbols(definition,[sP124])],[predicate_definition_introduction]) ).
fof(f132,definition,
( ( e4 != op(e0,e3)
& e4 != op(e1,e3)
& e4 != op(e2,e3)
& e4 != op(e3,e3)
& e4 != op(e4,e3) )
| ~ sP125 ),
introduced(definition,[new_symbols(definition,[sP125])],[predicate_definition_introduction]) ).
fof(f133,definition,
( ( e4 != op(e3,e0)
& e4 != op(e3,e1)
& e4 != op(e3,e2)
& e4 != op(e3,e3)
& e4 != op(e3,e4) )
| ~ sP126 ),
introduced(definition,[new_symbols(definition,[sP126])],[predicate_definition_introduction]) ).
fof(f134,definition,
( ( e3 != op(e0,e3)
& e3 != op(e1,e3)
& e3 != op(e2,e3)
& e3 != op(e3,e3)
& e3 != op(e4,e3) )
| ~ sP127 ),
introduced(definition,[new_symbols(definition,[sP127])],[predicate_definition_introduction]) ).
fof(f135,definition,
( ( e3 != op(e3,e0)
& e3 != op(e3,e1)
& e3 != op(e3,e2)
& e3 != op(e3,e3)
& e3 != op(e3,e4) )
| ~ sP128 ),
introduced(definition,[new_symbols(definition,[sP128])],[predicate_definition_introduction]) ).
fof(f136,definition,
( ( e2 != op(e0,e3)
& e2 != op(e1,e3)
& e2 != op(e2,e3)
& e2 != op(e3,e3)
& e2 != op(e4,e3) )
| ~ sP129 ),
introduced(definition,[new_symbols(definition,[sP129])],[predicate_definition_introduction]) ).
fof(f137,definition,
( ( e2 != op(e3,e0)
& e2 != op(e3,e1)
& e2 != op(e3,e2)
& e2 != op(e3,e3)
& e2 != op(e3,e4) )
| ~ sP130 ),
introduced(definition,[new_symbols(definition,[sP130])],[predicate_definition_introduction]) ).
fof(f138,definition,
( ( e1 != op(e0,e3)
& e1 != op(e1,e3)
& e1 != op(e2,e3)
& e1 != op(e3,e3)
& e1 != op(e4,e3) )
| ~ sP131 ),
introduced(definition,[new_symbols(definition,[sP131])],[predicate_definition_introduction]) ).
fof(f139,definition,
( ( e1 != op(e3,e0)
& e1 != op(e3,e1)
& e1 != op(e3,e2)
& e1 != op(e3,e3)
& e1 != op(e3,e4) )
| ~ sP132 ),
introduced(definition,[new_symbols(definition,[sP132])],[predicate_definition_introduction]) ).
fof(f140,definition,
( ( e0 != op(e0,e3)
& e0 != op(e1,e3)
& e0 != op(e2,e3)
& e0 != op(e3,e3)
& e0 != op(e4,e3) )
| ~ sP133 ),
introduced(definition,[new_symbols(definition,[sP133])],[predicate_definition_introduction]) ).
fof(f141,definition,
( ( e0 != op(e3,e0)
& e0 != op(e3,e1)
& e0 != op(e3,e2)
& e0 != op(e3,e3)
& e0 != op(e3,e4) )
| ~ sP134 ),
introduced(definition,[new_symbols(definition,[sP134])],[predicate_definition_introduction]) ).
fof(f142,definition,
( ( e4 != op(e0,e2)
& e4 != op(e1,e2)
& e4 != op(e2,e2)
& e4 != op(e3,e2)
& e4 != op(e4,e2) )
| ~ sP135 ),
introduced(definition,[new_symbols(definition,[sP135])],[predicate_definition_introduction]) ).
fof(f143,definition,
( ( e4 != op(e2,e0)
& e4 != op(e2,e1)
& e4 != op(e2,e2)
& e4 != op(e2,e3)
& e4 != op(e2,e4) )
| ~ sP136 ),
introduced(definition,[new_symbols(definition,[sP136])],[predicate_definition_introduction]) ).
fof(f144,definition,
( ( e3 != op(e0,e2)
& e3 != op(e1,e2)
& e3 != op(e2,e2)
& e3 != op(e3,e2)
& e3 != op(e4,e2) )
| ~ sP137 ),
introduced(definition,[new_symbols(definition,[sP137])],[predicate_definition_introduction]) ).
fof(f145,definition,
( ( e3 != op(e2,e0)
& e3 != op(e2,e1)
& e3 != op(e2,e2)
& e3 != op(e2,e3)
& e3 != op(e2,e4) )
| ~ sP138 ),
introduced(definition,[new_symbols(definition,[sP138])],[predicate_definition_introduction]) ).
fof(f146,definition,
( ( e2 != op(e0,e2)
& e2 != op(e1,e2)
& e2 != op(e2,e2)
& e2 != op(e3,e2)
& e2 != op(e4,e2) )
| ~ sP139 ),
introduced(definition,[new_symbols(definition,[sP139])],[predicate_definition_introduction]) ).
fof(f147,definition,
( ( e2 != op(e2,e0)
& e2 != op(e2,e1)
& e2 != op(e2,e2)
& e2 != op(e2,e3)
& e2 != op(e2,e4) )
| ~ sP140 ),
introduced(definition,[new_symbols(definition,[sP140])],[predicate_definition_introduction]) ).
fof(f148,definition,
( ( e1 != op(e0,e2)
& e1 != op(e1,e2)
& e1 != op(e2,e2)
& e1 != op(e3,e2)
& e1 != op(e4,e2) )
| ~ sP141 ),
introduced(definition,[new_symbols(definition,[sP141])],[predicate_definition_introduction]) ).
fof(f149,definition,
( ( e1 != op(e2,e0)
& e1 != op(e2,e1)
& e1 != op(e2,e2)
& e1 != op(e2,e3)
& e1 != op(e2,e4) )
| ~ sP142 ),
introduced(definition,[new_symbols(definition,[sP142])],[predicate_definition_introduction]) ).
fof(f150,definition,
( ( e0 != op(e0,e2)
& e0 != op(e1,e2)
& e0 != op(e2,e2)
& e0 != op(e3,e2)
& e0 != op(e4,e2) )
| ~ sP143 ),
introduced(definition,[new_symbols(definition,[sP143])],[predicate_definition_introduction]) ).
fof(f151,definition,
( ( e0 != op(e2,e0)
& e0 != op(e2,e1)
& e0 != op(e2,e2)
& e0 != op(e2,e3)
& e0 != op(e2,e4) )
| ~ sP144 ),
introduced(definition,[new_symbols(definition,[sP144])],[predicate_definition_introduction]) ).
fof(f152,definition,
( ( e4 != op(e0,e1)
& e4 != op(e1,e1)
& e4 != op(e2,e1)
& e4 != op(e3,e1)
& e4 != op(e4,e1) )
| ~ sP145 ),
introduced(definition,[new_symbols(definition,[sP145])],[predicate_definition_introduction]) ).
fof(f153,definition,
( ( e4 != op(e1,e0)
& e4 != op(e1,e1)
& e4 != op(e1,e2)
& e4 != op(e1,e3)
& e4 != op(e1,e4) )
| ~ sP146 ),
introduced(definition,[new_symbols(definition,[sP146])],[predicate_definition_introduction]) ).
fof(f154,definition,
( ( e3 != op(e0,e1)
& e3 != op(e1,e1)
& e3 != op(e2,e1)
& e3 != op(e3,e1)
& e3 != op(e4,e1) )
| ~ sP147 ),
introduced(definition,[new_symbols(definition,[sP147])],[predicate_definition_introduction]) ).
fof(f155,definition,
( ( e3 != op(e1,e0)
& e3 != op(e1,e1)
& e3 != op(e1,e2)
& e3 != op(e1,e3)
& e3 != op(e1,e4) )
| ~ sP148 ),
introduced(definition,[new_symbols(definition,[sP148])],[predicate_definition_introduction]) ).
fof(f156,definition,
( ( e2 != op(e0,e1)
& e2 != op(e1,e1)
& e2 != op(e2,e1)
& e2 != op(e3,e1)
& e2 != op(e4,e1) )
| ~ sP149 ),
introduced(definition,[new_symbols(definition,[sP149])],[predicate_definition_introduction]) ).
fof(f157,definition,
( ( e2 != op(e1,e0)
& e2 != op(e1,e1)
& e2 != op(e1,e2)
& e2 != op(e1,e3)
& e2 != op(e1,e4) )
| ~ sP150 ),
introduced(definition,[new_symbols(definition,[sP150])],[predicate_definition_introduction]) ).
fof(f158,definition,
( ( e1 != op(e0,e1)
& e1 != op(e1,e1)
& e1 != op(e2,e1)
& e1 != op(e3,e1)
& e1 != op(e4,e1) )
| ~ sP151 ),
introduced(definition,[new_symbols(definition,[sP151])],[predicate_definition_introduction]) ).
fof(f159,definition,
( ( e1 != op(e1,e0)
& e1 != op(e1,e1)
& e1 != op(e1,e2)
& e1 != op(e1,e3)
& e1 != op(e1,e4) )
| ~ sP152 ),
introduced(definition,[new_symbols(definition,[sP152])],[predicate_definition_introduction]) ).
fof(f160,definition,
( ( e0 != op(e0,e1)
& e0 != op(e1,e1)
& e0 != op(e2,e1)
& e0 != op(e3,e1)
& e0 != op(e4,e1) )
| ~ sP153 ),
introduced(definition,[new_symbols(definition,[sP153])],[predicate_definition_introduction]) ).
fof(f161,definition,
( ( e0 != op(e1,e0)
& e0 != op(e1,e1)
& e0 != op(e1,e2)
& e0 != op(e1,e3)
& e0 != op(e1,e4) )
| ~ sP154 ),
introduced(definition,[new_symbols(definition,[sP154])],[predicate_definition_introduction]) ).
fof(f162,definition,
( ( e4 != op(e0,e0)
& e4 != op(e1,e0)
& e4 != op(e2,e0)
& e4 != op(e3,e0)
& e4 != op(e4,e0) )
| ~ sP155 ),
introduced(definition,[new_symbols(definition,[sP155])],[predicate_definition_introduction]) ).
fof(f163,definition,
( ( e4 != op(e0,e0)
& e4 != op(e0,e1)
& e4 != op(e0,e2)
& e4 != op(e0,e3)
& e4 != op(e0,e4) )
| ~ sP156 ),
introduced(definition,[new_symbols(definition,[sP156])],[predicate_definition_introduction]) ).
fof(f164,definition,
( ( e3 != op(e0,e0)
& e3 != op(e1,e0)
& e3 != op(e2,e0)
& e3 != op(e3,e0)
& e3 != op(e4,e0) )
| ~ sP157 ),
introduced(definition,[new_symbols(definition,[sP157])],[predicate_definition_introduction]) ).
fof(f165,definition,
( ( e3 != op(e0,e0)
& e3 != op(e0,e1)
& e3 != op(e0,e2)
& e3 != op(e0,e3)
& e3 != op(e0,e4) )
| ~ sP158 ),
introduced(definition,[new_symbols(definition,[sP158])],[predicate_definition_introduction]) ).
fof(f166,definition,
( ( e2 != op(e0,e0)
& e2 != op(e1,e0)
& e2 != op(e2,e0)
& e2 != op(e3,e0)
& e2 != op(e4,e0) )
| ~ sP159 ),
introduced(definition,[new_symbols(definition,[sP159])],[predicate_definition_introduction]) ).
fof(f167,definition,
( ( e2 != op(e0,e0)
& e2 != op(e0,e1)
& e2 != op(e0,e2)
& e2 != op(e0,e3)
& e2 != op(e0,e4) )
| ~ sP160 ),
introduced(definition,[new_symbols(definition,[sP160])],[predicate_definition_introduction]) ).
fof(f168,definition,
( ( e1 != op(e0,e0)
& e1 != op(e1,e0)
& e1 != op(e2,e0)
& e1 != op(e3,e0)
& e1 != op(e4,e0) )
| ~ sP161 ),
introduced(definition,[new_symbols(definition,[sP161])],[predicate_definition_introduction]) ).
fof(f169,definition,
( ( e1 != op(e0,e0)
& e1 != op(e0,e1)
& e1 != op(e0,e2)
& e1 != op(e0,e3)
& e1 != op(e0,e4) )
| ~ sP162 ),
introduced(definition,[new_symbols(definition,[sP162])],[predicate_definition_introduction]) ).
fof(f170,definition,
( ( e0 != op(e0,e0)
& e0 != op(e1,e0)
& e0 != op(e2,e0)
& e0 != op(e3,e0)
& e0 != op(e4,e0) )
| ~ sP163 ),
introduced(definition,[new_symbols(definition,[sP163])],[predicate_definition_introduction]) ).
fof(f171,definition,
( ( e0 != op(e0,e0)
& e0 != op(e0,e1)
& e0 != op(e0,e2)
& e0 != op(e0,e3)
& e0 != op(e0,e4) )
| ~ sP164 ),
introduced(definition,[new_symbols(definition,[sP164])],[predicate_definition_introduction]) ).
fof(f172,definition,
( ( e0 != unit
& e1 != unit
& e2 != unit
& e3 != unit
& e4 != unit )
| ~ sP165 ),
introduced(definition,[new_symbols(definition,[sP165])],[predicate_definition_introduction]) ).
fof(f173,definition,
( ( e0 != op(e4,e4)
& e1 != op(e4,e4)
& e2 != op(e4,e4)
& e3 != op(e4,e4)
& e4 != op(e4,e4) )
| ~ sP166 ),
introduced(definition,[new_symbols(definition,[sP166])],[predicate_definition_introduction]) ).
fof(f174,definition,
( ( e0 != op(e4,e3)
& e1 != op(e4,e3)
& e2 != op(e4,e3)
& e3 != op(e4,e3)
& e4 != op(e4,e3) )
| ~ sP167 ),
introduced(definition,[new_symbols(definition,[sP167])],[predicate_definition_introduction]) ).
fof(f175,definition,
( ( e0 != op(e4,e2)
& e1 != op(e4,e2)
& e2 != op(e4,e2)
& e3 != op(e4,e2)
& e4 != op(e4,e2) )
| ~ sP168 ),
introduced(definition,[new_symbols(definition,[sP168])],[predicate_definition_introduction]) ).
fof(f176,definition,
( ( e0 != op(e4,e1)
& e1 != op(e4,e1)
& e2 != op(e4,e1)
& e3 != op(e4,e1)
& e4 != op(e4,e1) )
| ~ sP169 ),
introduced(definition,[new_symbols(definition,[sP169])],[predicate_definition_introduction]) ).
fof(f177,definition,
( ( e0 != op(e4,e0)
& e1 != op(e4,e0)
& e2 != op(e4,e0)
& e3 != op(e4,e0)
& e4 != op(e4,e0) )
| ~ sP170 ),
introduced(definition,[new_symbols(definition,[sP170])],[predicate_definition_introduction]) ).
fof(f178,definition,
( ( e0 != op(e3,e4)
& e1 != op(e3,e4)
& e2 != op(e3,e4)
& e3 != op(e3,e4)
& e4 != op(e3,e4) )
| ~ sP171 ),
introduced(definition,[new_symbols(definition,[sP171])],[predicate_definition_introduction]) ).
fof(f179,definition,
( ( e0 != op(e3,e3)
& e1 != op(e3,e3)
& e2 != op(e3,e3)
& e3 != op(e3,e3)
& e4 != op(e3,e3) )
| ~ sP172 ),
introduced(definition,[new_symbols(definition,[sP172])],[predicate_definition_introduction]) ).
fof(f180,definition,
( ( e0 != op(e3,e2)
& e1 != op(e3,e2)
& e2 != op(e3,e2)
& e3 != op(e3,e2)
& e4 != op(e3,e2) )
| ~ sP173 ),
introduced(definition,[new_symbols(definition,[sP173])],[predicate_definition_introduction]) ).
fof(f181,definition,
( ( e0 != op(e3,e1)
& e1 != op(e3,e1)
& e2 != op(e3,e1)
& e3 != op(e3,e1)
& e4 != op(e3,e1) )
| ~ sP174 ),
introduced(definition,[new_symbols(definition,[sP174])],[predicate_definition_introduction]) ).
fof(f182,definition,
( ( e0 != op(e3,e0)
& e1 != op(e3,e0)
& e2 != op(e3,e0)
& e3 != op(e3,e0)
& e4 != op(e3,e0) )
| ~ sP175 ),
introduced(definition,[new_symbols(definition,[sP175])],[predicate_definition_introduction]) ).
fof(f183,definition,
( ( e0 != op(e2,e4)
& e1 != op(e2,e4)
& e2 != op(e2,e4)
& e3 != op(e2,e4)
& e4 != op(e2,e4) )
| ~ sP176 ),
introduced(definition,[new_symbols(definition,[sP176])],[predicate_definition_introduction]) ).
fof(f184,definition,
( ( e0 != op(e2,e3)
& e1 != op(e2,e3)
& e2 != op(e2,e3)
& e3 != op(e2,e3)
& e4 != op(e2,e3) )
| ~ sP177 ),
introduced(definition,[new_symbols(definition,[sP177])],[predicate_definition_introduction]) ).
fof(f185,definition,
( ( e0 != op(e2,e2)
& e1 != op(e2,e2)
& e2 != op(e2,e2)
& e3 != op(e2,e2)
& e4 != op(e2,e2) )
| ~ sP178 ),
introduced(definition,[new_symbols(definition,[sP178])],[predicate_definition_introduction]) ).
fof(f186,definition,
( ( e0 != op(e2,e1)
& e1 != op(e2,e1)
& e2 != op(e2,e1)
& e3 != op(e2,e1)
& e4 != op(e2,e1) )
| ~ sP179 ),
introduced(definition,[new_symbols(definition,[sP179])],[predicate_definition_introduction]) ).
fof(f187,definition,
( ( e0 != op(e2,e0)
& e1 != op(e2,e0)
& e2 != op(e2,e0)
& e3 != op(e2,e0)
& e4 != op(e2,e0) )
| ~ sP180 ),
introduced(definition,[new_symbols(definition,[sP180])],[predicate_definition_introduction]) ).
fof(f188,definition,
( ( e0 != op(e1,e4)
& e1 != op(e1,e4)
& e2 != op(e1,e4)
& e3 != op(e1,e4)
& e4 != op(e1,e4) )
| ~ sP181 ),
introduced(definition,[new_symbols(definition,[sP181])],[predicate_definition_introduction]) ).
fof(f189,definition,
( ( e0 != op(e1,e3)
& e1 != op(e1,e3)
& e2 != op(e1,e3)
& e3 != op(e1,e3)
& e4 != op(e1,e3) )
| ~ sP182 ),
introduced(definition,[new_symbols(definition,[sP182])],[predicate_definition_introduction]) ).
fof(f190,definition,
( ( e0 != op(e1,e2)
& e1 != op(e1,e2)
& e2 != op(e1,e2)
& e3 != op(e1,e2)
& e4 != op(e1,e2) )
| ~ sP183 ),
introduced(definition,[new_symbols(definition,[sP183])],[predicate_definition_introduction]) ).
fof(f191,definition,
( ( e0 != op(e1,e1)
& e1 != op(e1,e1)
& e2 != op(e1,e1)
& e3 != op(e1,e1)
& e4 != op(e1,e1) )
| ~ sP184 ),
introduced(definition,[new_symbols(definition,[sP184])],[predicate_definition_introduction]) ).
fof(f192,definition,
( ( e0 != op(e1,e0)
& e1 != op(e1,e0)
& e2 != op(e1,e0)
& e3 != op(e1,e0)
& e4 != op(e1,e0) )
| ~ sP185 ),
introduced(definition,[new_symbols(definition,[sP185])],[predicate_definition_introduction]) ).
fof(f193,definition,
( ( e0 != op(e0,e4)
& e1 != op(e0,e4)
& e2 != op(e0,e4)
& e3 != op(e0,e4)
& e4 != op(e0,e4) )
| ~ sP186 ),
introduced(definition,[new_symbols(definition,[sP186])],[predicate_definition_introduction]) ).
fof(f194,definition,
( ( e0 != op(e0,e3)
& e1 != op(e0,e3)
& e2 != op(e0,e3)
& e3 != op(e0,e3)
& e4 != op(e0,e3) )
| ~ sP187 ),
introduced(definition,[new_symbols(definition,[sP187])],[predicate_definition_introduction]) ).
fof(f195,definition,
( ( e0 != op(e0,e2)
& e1 != op(e0,e2)
& e2 != op(e0,e2)
& e3 != op(e0,e2)
& e4 != op(e0,e2) )
| ~ sP188 ),
introduced(definition,[new_symbols(definition,[sP188])],[predicate_definition_introduction]) ).
fof(f196,definition,
( ( e0 != op(e0,e1)
& e1 != op(e0,e1)
& e2 != op(e0,e1)
& e3 != op(e0,e1)
& e4 != op(e0,e1) )
| ~ sP189 ),
introduced(definition,[new_symbols(definition,[sP189])],[predicate_definition_introduction]) ).
fof(f197,definition,
( ( e0 != op(e0,e0)
& e1 != op(e0,e0)
& e2 != op(e0,e0)
& e3 != op(e0,e0)
& e4 != op(e0,e0) )
| ~ sP190 ),
introduced(definition,[new_symbols(definition,[sP190])],[predicate_definition_introduction]) ).
fof(f198,plain,
( ( sP114
& sP113
& sP112
& sP111
& sP110 )
| sP190
| sP189
| sP188
| sP187
| sP186
| sP185
| sP184
| sP183
| sP182
| sP181
| sP180
| sP179
| sP178
| sP177
| sP176
| sP175
| sP174
| sP173
| sP172
| sP171
| sP170
| sP169
| sP168
| sP167
| sP166
| e0 != op(unit,e0)
| e0 != op(e0,unit)
| e1 != op(unit,e1)
| e1 != op(e1,unit)
| e2 != op(unit,e2)
| e2 != op(e2,unit)
| e3 != op(unit,e3)
| e3 != op(e3,unit)
| e4 != op(unit,e4)
| e4 != op(e4,unit)
| sP165
| sP164
| sP163
| sP162
| sP161
| sP160
| sP159
| sP158
| sP157
| sP156
| sP155
| sP154
| sP153
| sP152
| sP151
| sP150
| sP149
| sP148
| sP147
| sP146
| sP145
| sP144
| sP143
| sP142
| sP141
| sP140
| sP139
| sP138
| sP137
| sP136
| sP135
| sP134
| sP133
| sP132
| sP131
| sP130
| sP129
| sP128
| sP127
| sP126
| sP125
| sP124
| sP123
| sP122
| sP121
| sP120
| sP119
| sP118
| sP117
| sP116
| sP115 ),
inference(definition_folding,[],[f6,f197,f196,f195,f194,f193,f192,f191,f190,f189,f188,f187,f186,f185,f184,f183,f182,f181,f180,f179,f178,f177,f176,f175,f174,f173,f172,f171,f170,f169,f168,f167,f166,f165,f164,f163,f162,f161,f160,f159,f158,f157,f156,f155,f154,f153,f152,f151,f150,f149,f148,f147,f146,f145,f144,f143,f142,f141,f140,f139,f138,f137,f136,f135,f134,f133,f132,f131,f130,f129,f128,f127,f126,f125,f124,f123,f122,f121,f120,f119,f118,f117,f116,f115,f114,f113,f112,f111,f110,f109,f108,f107,f106,f105,f104,f103,f102,f101,f100,f99,f98,f97,f96,f95,f94,f93,f92,f91,f90,f89,f88,f87,f86,f85,f84,f83,f82,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9,f8,f7]) ).
fof(f199,plain,
( ( e0 != op(e0,e0)
& e1 != op(e0,e0)
& e2 != op(e0,e0)
& e3 != op(e0,e0)
& e4 != op(e0,e0) )
| ~ sP190 ),
inference(nnf_transformation,[],[f197]) ).
fof(f200,plain,
( ( e0 != op(e0,e1)
& e1 != op(e0,e1)
& e2 != op(e0,e1)
& e3 != op(e0,e1)
& e4 != op(e0,e1) )
| ~ sP189 ),
inference(nnf_transformation,[],[f196]) ).
fof(f201,plain,
( ( e0 != op(e0,e2)
& e1 != op(e0,e2)
& e2 != op(e0,e2)
& e3 != op(e0,e2)
& e4 != op(e0,e2) )
| ~ sP188 ),
inference(nnf_transformation,[],[f195]) ).
fof(f202,plain,
( ( e0 != op(e0,e3)
& e1 != op(e0,e3)
& e2 != op(e0,e3)
& e3 != op(e0,e3)
& e4 != op(e0,e3) )
| ~ sP187 ),
inference(nnf_transformation,[],[f194]) ).
fof(f203,plain,
( ( e0 != op(e0,e4)
& e1 != op(e0,e4)
& e2 != op(e0,e4)
& e3 != op(e0,e4)
& e4 != op(e0,e4) )
| ~ sP186 ),
inference(nnf_transformation,[],[f193]) ).
fof(f204,plain,
( ( e0 != op(e1,e0)
& e1 != op(e1,e0)
& e2 != op(e1,e0)
& e3 != op(e1,e0)
& e4 != op(e1,e0) )
| ~ sP185 ),
inference(nnf_transformation,[],[f192]) ).
fof(f205,plain,
( ( e0 != op(e1,e1)
& e1 != op(e1,e1)
& e2 != op(e1,e1)
& e3 != op(e1,e1)
& e4 != op(e1,e1) )
| ~ sP184 ),
inference(nnf_transformation,[],[f191]) ).
fof(f206,plain,
( ( e0 != op(e1,e2)
& e1 != op(e1,e2)
& e2 != op(e1,e2)
& e3 != op(e1,e2)
& e4 != op(e1,e2) )
| ~ sP183 ),
inference(nnf_transformation,[],[f190]) ).
fof(f207,plain,
( ( e0 != op(e1,e3)
& e1 != op(e1,e3)
& e2 != op(e1,e3)
& e3 != op(e1,e3)
& e4 != op(e1,e3) )
| ~ sP182 ),
inference(nnf_transformation,[],[f189]) ).
fof(f208,plain,
( ( e0 != op(e1,e4)
& e1 != op(e1,e4)
& e2 != op(e1,e4)
& e3 != op(e1,e4)
& e4 != op(e1,e4) )
| ~ sP181 ),
inference(nnf_transformation,[],[f188]) ).
fof(f209,plain,
( ( e0 != op(e2,e0)
& e1 != op(e2,e0)
& e2 != op(e2,e0)
& e3 != op(e2,e0)
& e4 != op(e2,e0) )
| ~ sP180 ),
inference(nnf_transformation,[],[f187]) ).
fof(f210,plain,
( ( e0 != op(e2,e1)
& e1 != op(e2,e1)
& e2 != op(e2,e1)
& e3 != op(e2,e1)
& e4 != op(e2,e1) )
| ~ sP179 ),
inference(nnf_transformation,[],[f186]) ).
fof(f211,plain,
( ( e0 != op(e2,e2)
& e1 != op(e2,e2)
& e2 != op(e2,e2)
& e3 != op(e2,e2)
& e4 != op(e2,e2) )
| ~ sP178 ),
inference(nnf_transformation,[],[f185]) ).
fof(f212,plain,
( ( e0 != op(e2,e3)
& e1 != op(e2,e3)
& e2 != op(e2,e3)
& e3 != op(e2,e3)
& e4 != op(e2,e3) )
| ~ sP177 ),
inference(nnf_transformation,[],[f184]) ).
fof(f213,plain,
( ( e0 != op(e2,e4)
& e1 != op(e2,e4)
& e2 != op(e2,e4)
& e3 != op(e2,e4)
& e4 != op(e2,e4) )
| ~ sP176 ),
inference(nnf_transformation,[],[f183]) ).
fof(f214,plain,
( ( e0 != op(e3,e0)
& e1 != op(e3,e0)
& e2 != op(e3,e0)
& e3 != op(e3,e0)
& e4 != op(e3,e0) )
| ~ sP175 ),
inference(nnf_transformation,[],[f182]) ).
fof(f215,plain,
( ( e0 != op(e3,e1)
& e1 != op(e3,e1)
& e2 != op(e3,e1)
& e3 != op(e3,e1)
& e4 != op(e3,e1) )
| ~ sP174 ),
inference(nnf_transformation,[],[f181]) ).
fof(f216,plain,
( ( e0 != op(e3,e2)
& e1 != op(e3,e2)
& e2 != op(e3,e2)
& e3 != op(e3,e2)
& e4 != op(e3,e2) )
| ~ sP173 ),
inference(nnf_transformation,[],[f180]) ).
fof(f217,plain,
( ( e0 != op(e3,e3)
& e1 != op(e3,e3)
& e2 != op(e3,e3)
& e3 != op(e3,e3)
& e4 != op(e3,e3) )
| ~ sP172 ),
inference(nnf_transformation,[],[f179]) ).
fof(f218,plain,
( ( e0 != op(e3,e4)
& e1 != op(e3,e4)
& e2 != op(e3,e4)
& e3 != op(e3,e4)
& e4 != op(e3,e4) )
| ~ sP171 ),
inference(nnf_transformation,[],[f178]) ).
fof(f219,plain,
( ( e0 != op(e4,e0)
& e1 != op(e4,e0)
& e2 != op(e4,e0)
& e3 != op(e4,e0)
& e4 != op(e4,e0) )
| ~ sP170 ),
inference(nnf_transformation,[],[f177]) ).
fof(f220,plain,
( ( e0 != op(e4,e1)
& e1 != op(e4,e1)
& e2 != op(e4,e1)
& e3 != op(e4,e1)
& e4 != op(e4,e1) )
| ~ sP169 ),
inference(nnf_transformation,[],[f176]) ).
fof(f221,plain,
( ( e0 != op(e4,e2)
& e1 != op(e4,e2)
& e2 != op(e4,e2)
& e3 != op(e4,e2)
& e4 != op(e4,e2) )
| ~ sP168 ),
inference(nnf_transformation,[],[f175]) ).
fof(f222,plain,
( ( e0 != op(e4,e3)
& e1 != op(e4,e3)
& e2 != op(e4,e3)
& e3 != op(e4,e3)
& e4 != op(e4,e3) )
| ~ sP167 ),
inference(nnf_transformation,[],[f174]) ).
fof(f223,plain,
( ( e0 != op(e4,e4)
& e1 != op(e4,e4)
& e2 != op(e4,e4)
& e3 != op(e4,e4)
& e4 != op(e4,e4) )
| ~ sP166 ),
inference(nnf_transformation,[],[f173]) ).
fof(f224,plain,
( ( e0 != unit
& e1 != unit
& e2 != unit
& e3 != unit
& e4 != unit )
| ~ sP165 ),
inference(nnf_transformation,[],[f172]) ).
fof(f225,plain,
( ( e0 != op(e0,e0)
& e0 != op(e0,e1)
& e0 != op(e0,e2)
& e0 != op(e0,e3)
& e0 != op(e0,e4) )
| ~ sP164 ),
inference(nnf_transformation,[],[f171]) ).
fof(f226,plain,
( ( e0 != op(e0,e0)
& e0 != op(e1,e0)
& e0 != op(e2,e0)
& e0 != op(e3,e0)
& e0 != op(e4,e0) )
| ~ sP163 ),
inference(nnf_transformation,[],[f170]) ).
fof(f227,plain,
( ( e1 != op(e0,e0)
& e1 != op(e0,e1)
& e1 != op(e0,e2)
& e1 != op(e0,e3)
& e1 != op(e0,e4) )
| ~ sP162 ),
inference(nnf_transformation,[],[f169]) ).
fof(f228,plain,
( ( e1 != op(e0,e0)
& e1 != op(e1,e0)
& e1 != op(e2,e0)
& e1 != op(e3,e0)
& e1 != op(e4,e0) )
| ~ sP161 ),
inference(nnf_transformation,[],[f168]) ).
fof(f229,plain,
( ( e2 != op(e0,e0)
& e2 != op(e0,e1)
& e2 != op(e0,e2)
& e2 != op(e0,e3)
& e2 != op(e0,e4) )
| ~ sP160 ),
inference(nnf_transformation,[],[f167]) ).
fof(f230,plain,
( ( e2 != op(e0,e0)
& e2 != op(e1,e0)
& e2 != op(e2,e0)
& e2 != op(e3,e0)
& e2 != op(e4,e0) )
| ~ sP159 ),
inference(nnf_transformation,[],[f166]) ).
fof(f231,plain,
( ( e3 != op(e0,e0)
& e3 != op(e0,e1)
& e3 != op(e0,e2)
& e3 != op(e0,e3)
& e3 != op(e0,e4) )
| ~ sP158 ),
inference(nnf_transformation,[],[f165]) ).
fof(f232,plain,
( ( e3 != op(e0,e0)
& e3 != op(e1,e0)
& e3 != op(e2,e0)
& e3 != op(e3,e0)
& e3 != op(e4,e0) )
| ~ sP157 ),
inference(nnf_transformation,[],[f164]) ).
fof(f233,plain,
( ( e4 != op(e0,e0)
& e4 != op(e0,e1)
& e4 != op(e0,e2)
& e4 != op(e0,e3)
& e4 != op(e0,e4) )
| ~ sP156 ),
inference(nnf_transformation,[],[f163]) ).
fof(f234,plain,
( ( e4 != op(e0,e0)
& e4 != op(e1,e0)
& e4 != op(e2,e0)
& e4 != op(e3,e0)
& e4 != op(e4,e0) )
| ~ sP155 ),
inference(nnf_transformation,[],[f162]) ).
fof(f235,plain,
( ( e0 != op(e1,e0)
& e0 != op(e1,e1)
& e0 != op(e1,e2)
& e0 != op(e1,e3)
& e0 != op(e1,e4) )
| ~ sP154 ),
inference(nnf_transformation,[],[f161]) ).
fof(f236,plain,
( ( e0 != op(e0,e1)
& e0 != op(e1,e1)
& e0 != op(e2,e1)
& e0 != op(e3,e1)
& e0 != op(e4,e1) )
| ~ sP153 ),
inference(nnf_transformation,[],[f160]) ).
fof(f237,plain,
( ( e1 != op(e1,e0)
& e1 != op(e1,e1)
& e1 != op(e1,e2)
& e1 != op(e1,e3)
& e1 != op(e1,e4) )
| ~ sP152 ),
inference(nnf_transformation,[],[f159]) ).
fof(f238,plain,
( ( e1 != op(e0,e1)
& e1 != op(e1,e1)
& e1 != op(e2,e1)
& e1 != op(e3,e1)
& e1 != op(e4,e1) )
| ~ sP151 ),
inference(nnf_transformation,[],[f158]) ).
fof(f239,plain,
( ( e2 != op(e1,e0)
& e2 != op(e1,e1)
& e2 != op(e1,e2)
& e2 != op(e1,e3)
& e2 != op(e1,e4) )
| ~ sP150 ),
inference(nnf_transformation,[],[f157]) ).
fof(f240,plain,
( ( e2 != op(e0,e1)
& e2 != op(e1,e1)
& e2 != op(e2,e1)
& e2 != op(e3,e1)
& e2 != op(e4,e1) )
| ~ sP149 ),
inference(nnf_transformation,[],[f156]) ).
fof(f241,plain,
( ( e3 != op(e1,e0)
& e3 != op(e1,e1)
& e3 != op(e1,e2)
& e3 != op(e1,e3)
& e3 != op(e1,e4) )
| ~ sP148 ),
inference(nnf_transformation,[],[f155]) ).
fof(f242,plain,
( ( e3 != op(e0,e1)
& e3 != op(e1,e1)
& e3 != op(e2,e1)
& e3 != op(e3,e1)
& e3 != op(e4,e1) )
| ~ sP147 ),
inference(nnf_transformation,[],[f154]) ).
fof(f243,plain,
( ( e4 != op(e1,e0)
& e4 != op(e1,e1)
& e4 != op(e1,e2)
& e4 != op(e1,e3)
& e4 != op(e1,e4) )
| ~ sP146 ),
inference(nnf_transformation,[],[f153]) ).
fof(f244,plain,
( ( e4 != op(e0,e1)
& e4 != op(e1,e1)
& e4 != op(e2,e1)
& e4 != op(e3,e1)
& e4 != op(e4,e1) )
| ~ sP145 ),
inference(nnf_transformation,[],[f152]) ).
fof(f245,plain,
( ( e0 != op(e2,e0)
& e0 != op(e2,e1)
& e0 != op(e2,e2)
& e0 != op(e2,e3)
& e0 != op(e2,e4) )
| ~ sP144 ),
inference(nnf_transformation,[],[f151]) ).
fof(f246,plain,
( ( e0 != op(e0,e2)
& e0 != op(e1,e2)
& e0 != op(e2,e2)
& e0 != op(e3,e2)
& e0 != op(e4,e2) )
| ~ sP143 ),
inference(nnf_transformation,[],[f150]) ).
fof(f247,plain,
( ( e1 != op(e2,e0)
& e1 != op(e2,e1)
& e1 != op(e2,e2)
& e1 != op(e2,e3)
& e1 != op(e2,e4) )
| ~ sP142 ),
inference(nnf_transformation,[],[f149]) ).
fof(f248,plain,
( ( e1 != op(e0,e2)
& e1 != op(e1,e2)
& e1 != op(e2,e2)
& e1 != op(e3,e2)
& e1 != op(e4,e2) )
| ~ sP141 ),
inference(nnf_transformation,[],[f148]) ).
fof(f249,plain,
( ( e2 != op(e2,e0)
& e2 != op(e2,e1)
& e2 != op(e2,e2)
& e2 != op(e2,e3)
& e2 != op(e2,e4) )
| ~ sP140 ),
inference(nnf_transformation,[],[f147]) ).
fof(f250,plain,
( ( e2 != op(e0,e2)
& e2 != op(e1,e2)
& e2 != op(e2,e2)
& e2 != op(e3,e2)
& e2 != op(e4,e2) )
| ~ sP139 ),
inference(nnf_transformation,[],[f146]) ).
fof(f251,plain,
( ( e3 != op(e2,e0)
& e3 != op(e2,e1)
& e3 != op(e2,e2)
& e3 != op(e2,e3)
& e3 != op(e2,e4) )
| ~ sP138 ),
inference(nnf_transformation,[],[f145]) ).
fof(f252,plain,
( ( e3 != op(e0,e2)
& e3 != op(e1,e2)
& e3 != op(e2,e2)
& e3 != op(e3,e2)
& e3 != op(e4,e2) )
| ~ sP137 ),
inference(nnf_transformation,[],[f144]) ).
fof(f253,plain,
( ( e4 != op(e2,e0)
& e4 != op(e2,e1)
& e4 != op(e2,e2)
& e4 != op(e2,e3)
& e4 != op(e2,e4) )
| ~ sP136 ),
inference(nnf_transformation,[],[f143]) ).
fof(f254,plain,
( ( e4 != op(e0,e2)
& e4 != op(e1,e2)
& e4 != op(e2,e2)
& e4 != op(e3,e2)
& e4 != op(e4,e2) )
| ~ sP135 ),
inference(nnf_transformation,[],[f142]) ).
fof(f255,plain,
( ( e0 != op(e3,e0)
& e0 != op(e3,e1)
& e0 != op(e3,e2)
& e0 != op(e3,e3)
& e0 != op(e3,e4) )
| ~ sP134 ),
inference(nnf_transformation,[],[f141]) ).
fof(f256,plain,
( ( e0 != op(e0,e3)
& e0 != op(e1,e3)
& e0 != op(e2,e3)
& e0 != op(e3,e3)
& e0 != op(e4,e3) )
| ~ sP133 ),
inference(nnf_transformation,[],[f140]) ).
fof(f257,plain,
( ( e1 != op(e3,e0)
& e1 != op(e3,e1)
& e1 != op(e3,e2)
& e1 != op(e3,e3)
& e1 != op(e3,e4) )
| ~ sP132 ),
inference(nnf_transformation,[],[f139]) ).
fof(f258,plain,
( ( e1 != op(e0,e3)
& e1 != op(e1,e3)
& e1 != op(e2,e3)
& e1 != op(e3,e3)
& e1 != op(e4,e3) )
| ~ sP131 ),
inference(nnf_transformation,[],[f138]) ).
fof(f259,plain,
( ( e2 != op(e3,e0)
& e2 != op(e3,e1)
& e2 != op(e3,e2)
& e2 != op(e3,e3)
& e2 != op(e3,e4) )
| ~ sP130 ),
inference(nnf_transformation,[],[f137]) ).
fof(f260,plain,
( ( e2 != op(e0,e3)
& e2 != op(e1,e3)
& e2 != op(e2,e3)
& e2 != op(e3,e3)
& e2 != op(e4,e3) )
| ~ sP129 ),
inference(nnf_transformation,[],[f136]) ).
fof(f261,plain,
( ( e3 != op(e3,e0)
& e3 != op(e3,e1)
& e3 != op(e3,e2)
& e3 != op(e3,e3)
& e3 != op(e3,e4) )
| ~ sP128 ),
inference(nnf_transformation,[],[f135]) ).
fof(f262,plain,
( ( e3 != op(e0,e3)
& e3 != op(e1,e3)
& e3 != op(e2,e3)
& e3 != op(e3,e3)
& e3 != op(e4,e3) )
| ~ sP127 ),
inference(nnf_transformation,[],[f134]) ).
fof(f263,plain,
( ( e4 != op(e3,e0)
& e4 != op(e3,e1)
& e4 != op(e3,e2)
& e4 != op(e3,e3)
& e4 != op(e3,e4) )
| ~ sP126 ),
inference(nnf_transformation,[],[f133]) ).
fof(f264,plain,
( ( e4 != op(e0,e3)
& e4 != op(e1,e3)
& e4 != op(e2,e3)
& e4 != op(e3,e3)
& e4 != op(e4,e3) )
| ~ sP125 ),
inference(nnf_transformation,[],[f132]) ).
fof(f265,plain,
( ( e0 != op(e4,e0)
& e0 != op(e4,e1)
& e0 != op(e4,e2)
& e0 != op(e4,e3)
& e0 != op(e4,e4) )
| ~ sP124 ),
inference(nnf_transformation,[],[f131]) ).
fof(f266,plain,
( ( e0 != op(e0,e4)
& e0 != op(e1,e4)
& e0 != op(e2,e4)
& e0 != op(e3,e4)
& e0 != op(e4,e4) )
| ~ sP123 ),
inference(nnf_transformation,[],[f130]) ).
fof(f267,plain,
( ( e1 != op(e4,e0)
& e1 != op(e4,e1)
& e1 != op(e4,e2)
& e1 != op(e4,e3)
& e1 != op(e4,e4) )
| ~ sP122 ),
inference(nnf_transformation,[],[f129]) ).
fof(f268,plain,
( ( e1 != op(e0,e4)
& e1 != op(e1,e4)
& e1 != op(e2,e4)
& e1 != op(e3,e4)
& e1 != op(e4,e4) )
| ~ sP121 ),
inference(nnf_transformation,[],[f128]) ).
fof(f269,plain,
( ( e2 != op(e4,e0)
& e2 != op(e4,e1)
& e2 != op(e4,e2)
& e2 != op(e4,e3)
& e2 != op(e4,e4) )
| ~ sP120 ),
inference(nnf_transformation,[],[f127]) ).
fof(f270,plain,
( ( e2 != op(e0,e4)
& e2 != op(e1,e4)
& e2 != op(e2,e4)
& e2 != op(e3,e4)
& e2 != op(e4,e4) )
| ~ sP119 ),
inference(nnf_transformation,[],[f126]) ).
fof(f271,plain,
( ( e3 != op(e4,e0)
& e3 != op(e4,e1)
& e3 != op(e4,e2)
& e3 != op(e4,e3)
& e3 != op(e4,e4) )
| ~ sP118 ),
inference(nnf_transformation,[],[f125]) ).
fof(f272,plain,
( ( e3 != op(e0,e4)
& e3 != op(e1,e4)
& e3 != op(e2,e4)
& e3 != op(e3,e4)
& e3 != op(e4,e4) )
| ~ sP117 ),
inference(nnf_transformation,[],[f124]) ).
fof(f273,plain,
( ( e4 != op(e4,e0)
& e4 != op(e4,e1)
& e4 != op(e4,e2)
& e4 != op(e4,e3)
& e4 != op(e4,e4) )
| ~ sP116 ),
inference(nnf_transformation,[],[f123]) ).
fof(f274,plain,
( ( e4 != op(e0,e4)
& e4 != op(e1,e4)
& e4 != op(e2,e4)
& e4 != op(e3,e4)
& e4 != op(e4,e4) )
| ~ sP115 ),
inference(nnf_transformation,[],[f122]) ).
fof(f276,plain,
( ( e1 = op(e0,e0)
& ( e0 != op(e0,e1)
| e1 = unit ) )
| ( e1 = op(e0,e1)
& ( e1 != op(e0,e1)
| e1 = unit ) )
| ( e1 = op(e0,e2)
& ( e2 != op(e0,e1)
| e1 = unit ) )
| sP87
| sP86
| sP85
| sP84
| sP83
| sP82
| sP81
| sP80
| sP79
| sP78
| sP77
| sP76
| sP75
| sP74
| sP73
| sP72
| sP71
| sP70
| sP69
| sP68
| sP67
| sP66
| ~ sP113 ),
inference(nnf_transformation,[],[f120]) ).
fof(f302,plain,
( ( e1 = op(e0,e3)
& ( e3 != op(e0,e1)
| e1 = unit ) )
| ~ sP87 ),
inference(nnf_transformation,[],[f94]) ).
fof(f303,plain,
( ( e1 = op(e0,e4)
& ( e4 != op(e0,e1)
| e1 = unit ) )
| ~ sP86 ),
inference(nnf_transformation,[],[f93]) ).
fof(f304,plain,
( ( e1 = op(e1,e0)
& ( e0 != op(e1,e1)
| e1 = unit ) )
| ~ sP85 ),
inference(nnf_transformation,[],[f92]) ).
fof(f305,plain,
( ( e1 = op(e1,e1)
& ( e1 != op(e1,e1)
| e1 = unit ) )
| ~ sP84 ),
inference(nnf_transformation,[],[f91]) ).
fof(f306,plain,
( ( e1 = op(e1,e2)
& ( e2 != op(e1,e1)
| e1 = unit ) )
| ~ sP83 ),
inference(nnf_transformation,[],[f90]) ).
fof(f307,plain,
( ( e1 = op(e1,e3)
& ( e3 != op(e1,e1)
| e1 = unit ) )
| ~ sP82 ),
inference(nnf_transformation,[],[f89]) ).
fof(f308,plain,
( ( e1 = op(e1,e4)
& ( e4 != op(e1,e1)
| e1 = unit ) )
| ~ sP81 ),
inference(nnf_transformation,[],[f88]) ).
fof(f309,plain,
( ( e1 = op(e2,e0)
& ( e0 != op(e2,e1)
| e1 = unit ) )
| ~ sP80 ),
inference(nnf_transformation,[],[f87]) ).
fof(f310,plain,
( ( e1 = op(e2,e1)
& ( e1 != op(e2,e1)
| e1 = unit ) )
| ~ sP79 ),
inference(nnf_transformation,[],[f86]) ).
fof(f311,plain,
( ( e1 = op(e2,e2)
& ( e2 != op(e2,e1)
| e1 = unit ) )
| ~ sP78 ),
inference(nnf_transformation,[],[f85]) ).
fof(f312,plain,
( ( e1 = op(e2,e3)
& ( e3 != op(e2,e1)
| e1 = unit ) )
| ~ sP77 ),
inference(nnf_transformation,[],[f84]) ).
fof(f313,plain,
( ( e1 = op(e2,e4)
& ( e4 != op(e2,e1)
| e1 = unit ) )
| ~ sP76 ),
inference(nnf_transformation,[],[f83]) ).
fof(f314,plain,
( ( e1 = op(e3,e0)
& ( e0 != op(e3,e1)
| e1 = unit ) )
| ~ sP75 ),
inference(nnf_transformation,[],[f82]) ).
fof(f315,plain,
( ( e1 = op(e3,e1)
& ( e1 != op(e3,e1)
| e1 = unit ) )
| ~ sP74 ),
inference(nnf_transformation,[],[f81]) ).
fof(f316,plain,
( ( e1 = op(e3,e2)
& ( e2 != op(e3,e1)
| e1 = unit ) )
| ~ sP73 ),
inference(nnf_transformation,[],[f80]) ).
fof(f317,plain,
( ( e1 = op(e3,e3)
& ( e3 != op(e3,e1)
| e1 = unit ) )
| ~ sP72 ),
inference(nnf_transformation,[],[f79]) ).
fof(f318,plain,
( ( e1 = op(e3,e4)
& ( e4 != op(e3,e1)
| e1 = unit ) )
| ~ sP71 ),
inference(nnf_transformation,[],[f78]) ).
fof(f319,plain,
( ( e1 = op(e4,e0)
& ( e0 != op(e4,e1)
| e1 = unit ) )
| ~ sP70 ),
inference(nnf_transformation,[],[f77]) ).
fof(f320,plain,
( ( e1 = op(e4,e1)
& ( e1 != op(e4,e1)
| e1 = unit ) )
| ~ sP69 ),
inference(nnf_transformation,[],[f76]) ).
fof(f321,plain,
( ( e1 = op(e4,e2)
& ( e2 != op(e4,e1)
| e1 = unit ) )
| ~ sP68 ),
inference(nnf_transformation,[],[f75]) ).
fof(f322,plain,
( ( e1 = op(e4,e3)
& ( e3 != op(e4,e1)
| e1 = unit ) )
| ~ sP67 ),
inference(nnf_transformation,[],[f74]) ).
fof(f323,plain,
( ( e1 = op(e4,e4)
& ( e4 != op(e4,e1)
| e1 = unit ) )
| ~ sP66 ),
inference(nnf_transformation,[],[f73]) ).
fof(f393,plain,
e1 != e4,
inference(cnf_transformation,[],[f1]) ).
fof(f394,plain,
e1 != e3,
inference(cnf_transformation,[],[f1]) ).
fof(f395,plain,
e1 != e2,
inference(cnf_transformation,[],[f1]) ).
fof(f399,plain,
e0 != e1,
inference(cnf_transformation,[],[f1]) ).
fof(f400,plain,
e2 = op(e4,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f401,plain,
e1 = op(e4,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f402,plain,
e0 = op(e4,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f403,plain,
e3 = op(e4,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f404,plain,
e4 = op(e4,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f405,plain,
e0 = op(e3,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f406,plain,
e4 = op(e3,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f407,plain,
e1 = op(e3,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f408,plain,
e2 = op(e3,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f409,plain,
e3 = op(e3,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f410,plain,
e1 = op(e2,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f411,plain,
e0 = op(e2,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f412,plain,
e3 = op(e2,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f413,plain,
e4 = op(e2,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f414,plain,
e2 = op(e2,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f415,plain,
e3 = op(e1,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f416,plain,
e2 = op(e1,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f417,plain,
e4 = op(e1,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f418,plain,
e0 = op(e1,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f419,plain,
e1 = op(e1,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f420,plain,
e4 = op(e0,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f421,plain,
e3 = op(e0,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f422,plain,
e2 = op(e0,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f423,plain,
e1 = op(e0,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f424,plain,
e0 = op(e0,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f425,plain,
e0 = unit,
inference(cnf_transformation,[],[f3]) ).
fof(f430,plain,
( e0 != op(e0,e0)
| ~ sP190 ),
inference(cnf_transformation,[],[f199]) ).
fof(f434,plain,
( e1 != op(e0,e1)
| ~ sP189 ),
inference(cnf_transformation,[],[f200]) ).
fof(f438,plain,
( e2 != op(e0,e2)
| ~ sP188 ),
inference(cnf_transformation,[],[f201]) ).
fof(f442,plain,
( e3 != op(e0,e3)
| ~ sP187 ),
inference(cnf_transformation,[],[f202]) ).
fof(f446,plain,
( e4 != op(e0,e4)
| ~ sP186 ),
inference(cnf_transformation,[],[f203]) ).
fof(f454,plain,
( e1 != op(e1,e0)
| ~ sP185 ),
inference(cnf_transformation,[],[f204]) ).
fof(f460,plain,
( e0 != op(e1,e1)
| ~ sP184 ),
inference(cnf_transformation,[],[f205]) ).
fof(f461,plain,
( e4 != op(e1,e2)
| ~ sP183 ),
inference(cnf_transformation,[],[f206]) ).
fof(f468,plain,
( e2 != op(e1,e3)
| ~ sP182 ),
inference(cnf_transformation,[],[f207]) ).
fof(f472,plain,
( e3 != op(e1,e4)
| ~ sP181 ),
inference(cnf_transformation,[],[f208]) ).
fof(f478,plain,
( e2 != op(e2,e0)
| ~ sP180 ),
inference(cnf_transformation,[],[f209]) ).
fof(f481,plain,
( e4 != op(e2,e1)
| ~ sP179 ),
inference(cnf_transformation,[],[f210]) ).
fof(f487,plain,
( e3 != op(e2,e2)
| ~ sP178 ),
inference(cnf_transformation,[],[f211]) ).
fof(f495,plain,
( e0 != op(e2,e3)
| ~ sP177 ),
inference(cnf_transformation,[],[f212]) ).
fof(f499,plain,
( e1 != op(e2,e4)
| ~ sP176 ),
inference(cnf_transformation,[],[f213]) ).
fof(f502,plain,
( e3 != op(e3,e0)
| ~ sP175 ),
inference(cnf_transformation,[],[f214]) ).
fof(f508,plain,
( e2 != op(e3,e1)
| ~ sP174 ),
inference(cnf_transformation,[],[f215]) ).
fof(f514,plain,
( e1 != op(e3,e2)
| ~ sP173 ),
inference(cnf_transformation,[],[f216]) ).
fof(f516,plain,
( e4 != op(e3,e3)
| ~ sP172 ),
inference(cnf_transformation,[],[f217]) ).
fof(f525,plain,
( e0 != op(e3,e4)
| ~ sP171 ),
inference(cnf_transformation,[],[f218]) ).
fof(f526,plain,
( e4 != op(e4,e0)
| ~ sP170 ),
inference(cnf_transformation,[],[f219]) ).
fof(f532,plain,
( e3 != op(e4,e1)
| ~ sP169 ),
inference(cnf_transformation,[],[f220]) ).
fof(f540,plain,
( e0 != op(e4,e2)
| ~ sP168 ),
inference(cnf_transformation,[],[f221]) ).
fof(f544,plain,
( e1 != op(e4,e3)
| ~ sP167 ),
inference(cnf_transformation,[],[f222]) ).
fof(f548,plain,
( e2 != op(e4,e4)
| ~ sP166 ),
inference(cnf_transformation,[],[f223]) ).
fof(f555,plain,
( e0 != unit
| ~ sP165 ),
inference(cnf_transformation,[],[f224]) ).
fof(f560,plain,
( e0 != op(e0,e0)
| ~ sP164 ),
inference(cnf_transformation,[],[f225]) ).
fof(f565,plain,
( e0 != op(e0,e0)
| ~ sP163 ),
inference(cnf_transformation,[],[f226]) ).
fof(f569,plain,
( e1 != op(e0,e1)
| ~ sP162 ),
inference(cnf_transformation,[],[f227]) ).
fof(f574,plain,
( e1 != op(e1,e0)
| ~ sP161 ),
inference(cnf_transformation,[],[f228]) ).
fof(f578,plain,
( e2 != op(e0,e2)
| ~ sP160 ),
inference(cnf_transformation,[],[f229]) ).
fof(f583,plain,
( e2 != op(e2,e0)
| ~ sP159 ),
inference(cnf_transformation,[],[f230]) ).
fof(f587,plain,
( e3 != op(e0,e3)
| ~ sP158 ),
inference(cnf_transformation,[],[f231]) ).
fof(f592,plain,
( e3 != op(e3,e0)
| ~ sP157 ),
inference(cnf_transformation,[],[f232]) ).
fof(f596,plain,
( e4 != op(e0,e4)
| ~ sP156 ),
inference(cnf_transformation,[],[f233]) ).
fof(f601,plain,
( e4 != op(e4,e0)
| ~ sP155 ),
inference(cnf_transformation,[],[f234]) ).
fof(f609,plain,
( e0 != op(e1,e1)
| ~ sP154 ),
inference(cnf_transformation,[],[f235]) ).
fof(f614,plain,
( e0 != op(e1,e1)
| ~ sP153 ),
inference(cnf_transformation,[],[f236]) ).
fof(f620,plain,
( e1 != op(e1,e0)
| ~ sP152 ),
inference(cnf_transformation,[],[f237]) ).
fof(f625,plain,
( e1 != op(e0,e1)
| ~ sP151 ),
inference(cnf_transformation,[],[f238]) ).
fof(f627,plain,
( e2 != op(e1,e3)
| ~ sP150 ),
inference(cnf_transformation,[],[f239]) ).
fof(f632,plain,
( e2 != op(e3,e1)
| ~ sP149 ),
inference(cnf_transformation,[],[f240]) ).
fof(f636,plain,
( e3 != op(e1,e4)
| ~ sP148 ),
inference(cnf_transformation,[],[f241]) ).
fof(f641,plain,
( e3 != op(e4,e1)
| ~ sP147 ),
inference(cnf_transformation,[],[f242]) ).
fof(f648,plain,
( e4 != op(e1,e2)
| ~ sP146 ),
inference(cnf_transformation,[],[f243]) ).
fof(f653,plain,
( e4 != op(e2,e1)
| ~ sP145 ),
inference(cnf_transformation,[],[f244]) ).
fof(f657,plain,
( e0 != op(e2,e3)
| ~ sP144 ),
inference(cnf_transformation,[],[f245]) ).
fof(f661,plain,
( e0 != op(e4,e2)
| ~ sP143 ),
inference(cnf_transformation,[],[f246]) ).
fof(f666,plain,
( e1 != op(e2,e4)
| ~ sP142 ),
inference(cnf_transformation,[],[f247]) ).
fof(f672,plain,
( e1 != op(e3,e2)
| ~ sP141 ),
inference(cnf_transformation,[],[f248]) ).
fof(f680,plain,
( e2 != op(e2,e0)
| ~ sP140 ),
inference(cnf_transformation,[],[f249]) ).
fof(f685,plain,
( e2 != op(e0,e2)
| ~ sP139 ),
inference(cnf_transformation,[],[f250]) ).
fof(f688,plain,
( e3 != op(e2,e2)
| ~ sP138 ),
inference(cnf_transformation,[],[f251]) ).
fof(f693,plain,
( e3 != op(e2,e2)
| ~ sP137 ),
inference(cnf_transformation,[],[f252]) ).
fof(f699,plain,
( e4 != op(e2,e1)
| ~ sP136 ),
inference(cnf_transformation,[],[f253]) ).
fof(f704,plain,
( e4 != op(e1,e2)
| ~ sP135 ),
inference(cnf_transformation,[],[f254]) ).
fof(f706,plain,
( e0 != op(e3,e4)
| ~ sP134 ),
inference(cnf_transformation,[],[f255]) ).
fof(f713,plain,
( e0 != op(e2,e3)
| ~ sP133 ),
inference(cnf_transformation,[],[f256]) ).
fof(f718,plain,
( e1 != op(e3,e2)
| ~ sP132 ),
inference(cnf_transformation,[],[f257]) ).
fof(f721,plain,
( e1 != op(e4,e3)
| ~ sP131 ),
inference(cnf_transformation,[],[f258]) ).
fof(f729,plain,
( e2 != op(e3,e1)
| ~ sP130 ),
inference(cnf_transformation,[],[f259]) ).
fof(f734,plain,
( e2 != op(e1,e3)
| ~ sP129 ),
inference(cnf_transformation,[],[f260]) ).
fof(f740,plain,
( e3 != op(e3,e0)
| ~ sP128 ),
inference(cnf_transformation,[],[f261]) ).
fof(f745,plain,
( e3 != op(e0,e3)
| ~ sP127 ),
inference(cnf_transformation,[],[f262]) ).
fof(f747,plain,
( e4 != op(e3,e3)
| ~ sP126 ),
inference(cnf_transformation,[],[f263]) ).
fof(f752,plain,
( e4 != op(e3,e3)
| ~ sP125 ),
inference(cnf_transformation,[],[f264]) ).
fof(f758,plain,
( e0 != op(e4,e2)
| ~ sP124 ),
inference(cnf_transformation,[],[f265]) ).
fof(f762,plain,
( e0 != op(e3,e4)
| ~ sP123 ),
inference(cnf_transformation,[],[f266]) ).
fof(f767,plain,
( e1 != op(e4,e3)
| ~ sP122 ),
inference(cnf_transformation,[],[f267]) ).
fof(f773,plain,
( e1 != op(e2,e4)
| ~ sP121 ),
inference(cnf_transformation,[],[f268]) ).
fof(f776,plain,
( e2 != op(e4,e4)
| ~ sP120 ),
inference(cnf_transformation,[],[f269]) ).
fof(f781,plain,
( e2 != op(e4,e4)
| ~ sP119 ),
inference(cnf_transformation,[],[f270]) ).
fof(f789,plain,
( e3 != op(e4,e1)
| ~ sP118 ),
inference(cnf_transformation,[],[f271]) ).
fof(f794,plain,
( e3 != op(e1,e4)
| ~ sP117 ),
inference(cnf_transformation,[],[f272]) ).
fof(f800,plain,
( e4 != op(e4,e0)
| ~ sP116 ),
inference(cnf_transformation,[],[f273]) ).
fof(f805,plain,
( e4 != op(e0,e4)
| ~ sP115 ),
inference(cnf_transformation,[],[f274]) ).
fof(f819,plain,
( e1 = op(e0,e0)
| e1 != op(e0,e1)
| e1 = unit
| e1 = op(e0,e2)
| sP87
| sP86
| sP85
| sP84
| sP83
| sP82
| sP81
| sP80
| sP79
| sP78
| sP77
| sP76
| sP75
| sP74
| sP73
| sP72
| sP71
| sP70
| sP69
| sP68
| sP67
| sP66
| ~ sP113 ),
inference(cnf_transformation,[],[f276]) ).
fof(f891,plain,
( e1 = op(e0,e3)
| ~ sP87 ),
inference(cnf_transformation,[],[f302]) ).
fof(f893,plain,
( e1 = op(e0,e4)
| ~ sP86 ),
inference(cnf_transformation,[],[f303]) ).
fof(f894,plain,
( e0 != op(e1,e1)
| e1 = unit
| ~ sP85 ),
inference(cnf_transformation,[],[f304]) ).
fof(f896,plain,
( e1 != op(e1,e1)
| e1 = unit
| ~ sP84 ),
inference(cnf_transformation,[],[f305]) ).
fof(f897,plain,
( e1 = op(e1,e1)
| ~ sP84 ),
inference(cnf_transformation,[],[f305]) ).
fof(f899,plain,
( e1 = op(e1,e2)
| ~ sP83 ),
inference(cnf_transformation,[],[f306]) ).
fof(f901,plain,
( e1 = op(e1,e3)
| ~ sP82 ),
inference(cnf_transformation,[],[f307]) ).
fof(f903,plain,
( e1 = op(e1,e4)
| ~ sP81 ),
inference(cnf_transformation,[],[f308]) ).
fof(f905,plain,
( e1 = op(e2,e0)
| ~ sP80 ),
inference(cnf_transformation,[],[f309]) ).
fof(f906,plain,
( e1 != op(e2,e1)
| e1 = unit
| ~ sP79 ),
inference(cnf_transformation,[],[f310]) ).
fof(f907,plain,
( e1 = op(e2,e1)
| ~ sP79 ),
inference(cnf_transformation,[],[f310]) ).
fof(f909,plain,
( e1 = op(e2,e2)
| ~ sP78 ),
inference(cnf_transformation,[],[f311]) ).
fof(f911,plain,
( e1 = op(e2,e3)
| ~ sP77 ),
inference(cnf_transformation,[],[f312]) ).
fof(f912,plain,
( e4 != op(e2,e1)
| e1 = unit
| ~ sP76 ),
inference(cnf_transformation,[],[f313]) ).
fof(f915,plain,
( e1 = op(e3,e0)
| ~ sP75 ),
inference(cnf_transformation,[],[f314]) ).
fof(f916,plain,
( e1 != op(e3,e1)
| e1 = unit
| ~ sP74 ),
inference(cnf_transformation,[],[f315]) ).
fof(f917,plain,
( e1 = op(e3,e1)
| ~ sP74 ),
inference(cnf_transformation,[],[f315]) ).
fof(f918,plain,
( e2 != op(e3,e1)
| e1 = unit
| ~ sP73 ),
inference(cnf_transformation,[],[f316]) ).
fof(f921,plain,
( e1 = op(e3,e3)
| ~ sP72 ),
inference(cnf_transformation,[],[f317]) ).
fof(f923,plain,
( e1 = op(e3,e4)
| ~ sP71 ),
inference(cnf_transformation,[],[f318]) ).
fof(f925,plain,
( e1 = op(e4,e0)
| ~ sP70 ),
inference(cnf_transformation,[],[f319]) ).
fof(f926,plain,
( e1 != op(e4,e1)
| e1 = unit
| ~ sP69 ),
inference(cnf_transformation,[],[f320]) ).
fof(f927,plain,
( e1 = op(e4,e1)
| ~ sP69 ),
inference(cnf_transformation,[],[f320]) ).
fof(f929,plain,
( e1 = op(e4,e2)
| ~ sP68 ),
inference(cnf_transformation,[],[f321]) ).
fof(f930,plain,
( e3 != op(e4,e1)
| e1 = unit
| ~ sP67 ),
inference(cnf_transformation,[],[f322]) ).
fof(f933,plain,
( e1 = op(e4,e4)
| ~ sP66 ),
inference(cnf_transformation,[],[f323]) ).
fof(f1069,plain,
( sP113
| sP190
| sP189
| sP188
| sP187
| sP186
| sP185
| sP184
| sP183
| sP182
| sP181
| sP180
| sP179
| sP178
| sP177
| sP176
| sP175
| sP174
| sP173
| sP172
| sP171
| sP170
| sP169
| sP168
| sP167
| sP166
| e0 != op(unit,e0)
| e0 != op(e0,unit)
| e1 != op(unit,e1)
| e1 != op(e1,unit)
| e2 != op(unit,e2)
| e2 != op(e2,unit)
| e3 != op(unit,e3)
| e3 != op(e3,unit)
| e4 != op(unit,e4)
| e4 != op(e4,unit)
| sP165
| sP164
| sP163
| sP162
| sP161
| sP160
| sP159
| sP158
| sP157
| sP156
| sP155
| sP154
| sP153
| sP152
| sP151
| sP150
| sP149
| sP148
| sP147
| sP146
| sP145
| sP144
| sP143
| sP142
| sP141
| sP140
| sP139
| sP138
| sP137
| sP136
| sP135
| sP134
| sP133
| sP132
| sP131
| sP130
| sP129
| sP128
| sP127
| sP126
| sP125
| sP124
| sP123
| sP122
| sP121
| sP120
| sP119
| sP118
| sP117
| sP116
| sP115 ),
inference(cnf_transformation,[],[f198]) ).
fof(f1092,definition,
( spl191_1
<=> sP115 ),
introduced(definition,[new_symbols(definition,[spl191_1])],[avatar_definition]) ).
fof(f1096,definition,
( spl191_2
<=> sP116 ),
introduced(definition,[new_symbols(definition,[spl191_2])],[avatar_definition]) ).
fof(f1100,definition,
( spl191_3
<=> sP117 ),
introduced(definition,[new_symbols(definition,[spl191_3])],[avatar_definition]) ).
fof(f1104,definition,
( spl191_4
<=> sP118 ),
introduced(definition,[new_symbols(definition,[spl191_4])],[avatar_definition]) ).
fof(f1108,definition,
( spl191_5
<=> sP119 ),
introduced(definition,[new_symbols(definition,[spl191_5])],[avatar_definition]) ).
fof(f1112,definition,
( spl191_6
<=> sP120 ),
introduced(definition,[new_symbols(definition,[spl191_6])],[avatar_definition]) ).
fof(f1116,definition,
( spl191_7
<=> sP121 ),
introduced(definition,[new_symbols(definition,[spl191_7])],[avatar_definition]) ).
fof(f1120,definition,
( spl191_8
<=> sP122 ),
introduced(definition,[new_symbols(definition,[spl191_8])],[avatar_definition]) ).
fof(f1124,definition,
( spl191_9
<=> sP123 ),
introduced(definition,[new_symbols(definition,[spl191_9])],[avatar_definition]) ).
fof(f1128,definition,
( spl191_10
<=> sP124 ),
introduced(definition,[new_symbols(definition,[spl191_10])],[avatar_definition]) ).
fof(f1132,definition,
( spl191_11
<=> sP125 ),
introduced(definition,[new_symbols(definition,[spl191_11])],[avatar_definition]) ).
fof(f1136,definition,
( spl191_12
<=> sP126 ),
introduced(definition,[new_symbols(definition,[spl191_12])],[avatar_definition]) ).
fof(f1140,definition,
( spl191_13
<=> sP127 ),
introduced(definition,[new_symbols(definition,[spl191_13])],[avatar_definition]) ).
fof(f1144,definition,
( spl191_14
<=> sP128 ),
introduced(definition,[new_symbols(definition,[spl191_14])],[avatar_definition]) ).
fof(f1148,definition,
( spl191_15
<=> sP129 ),
introduced(definition,[new_symbols(definition,[spl191_15])],[avatar_definition]) ).
fof(f1152,definition,
( spl191_16
<=> sP130 ),
introduced(definition,[new_symbols(definition,[spl191_16])],[avatar_definition]) ).
fof(f1156,definition,
( spl191_17
<=> sP131 ),
introduced(definition,[new_symbols(definition,[spl191_17])],[avatar_definition]) ).
fof(f1160,definition,
( spl191_18
<=> sP132 ),
introduced(definition,[new_symbols(definition,[spl191_18])],[avatar_definition]) ).
fof(f1164,definition,
( spl191_19
<=> sP133 ),
introduced(definition,[new_symbols(definition,[spl191_19])],[avatar_definition]) ).
fof(f1168,definition,
( spl191_20
<=> sP134 ),
introduced(definition,[new_symbols(definition,[spl191_20])],[avatar_definition]) ).
fof(f1172,definition,
( spl191_21
<=> sP135 ),
introduced(definition,[new_symbols(definition,[spl191_21])],[avatar_definition]) ).
fof(f1176,definition,
( spl191_22
<=> sP136 ),
introduced(definition,[new_symbols(definition,[spl191_22])],[avatar_definition]) ).
fof(f1180,definition,
( spl191_23
<=> sP137 ),
introduced(definition,[new_symbols(definition,[spl191_23])],[avatar_definition]) ).
fof(f1184,definition,
( spl191_24
<=> sP138 ),
introduced(definition,[new_symbols(definition,[spl191_24])],[avatar_definition]) ).
fof(f1188,definition,
( spl191_25
<=> sP139 ),
introduced(definition,[new_symbols(definition,[spl191_25])],[avatar_definition]) ).
fof(f1192,definition,
( spl191_26
<=> sP140 ),
introduced(definition,[new_symbols(definition,[spl191_26])],[avatar_definition]) ).
fof(f1196,definition,
( spl191_27
<=> sP141 ),
introduced(definition,[new_symbols(definition,[spl191_27])],[avatar_definition]) ).
fof(f1200,definition,
( spl191_28
<=> sP142 ),
introduced(definition,[new_symbols(definition,[spl191_28])],[avatar_definition]) ).
fof(f1204,definition,
( spl191_29
<=> sP143 ),
introduced(definition,[new_symbols(definition,[spl191_29])],[avatar_definition]) ).
fof(f1208,definition,
( spl191_30
<=> sP144 ),
introduced(definition,[new_symbols(definition,[spl191_30])],[avatar_definition]) ).
fof(f1212,definition,
( spl191_31
<=> sP145 ),
introduced(definition,[new_symbols(definition,[spl191_31])],[avatar_definition]) ).
fof(f1216,definition,
( spl191_32
<=> sP146 ),
introduced(definition,[new_symbols(definition,[spl191_32])],[avatar_definition]) ).
fof(f1220,definition,
( spl191_33
<=> sP147 ),
introduced(definition,[new_symbols(definition,[spl191_33])],[avatar_definition]) ).
fof(f1224,definition,
( spl191_34
<=> sP148 ),
introduced(definition,[new_symbols(definition,[spl191_34])],[avatar_definition]) ).
fof(f1228,definition,
( spl191_35
<=> sP149 ),
introduced(definition,[new_symbols(definition,[spl191_35])],[avatar_definition]) ).
fof(f1232,definition,
( spl191_36
<=> sP150 ),
introduced(definition,[new_symbols(definition,[spl191_36])],[avatar_definition]) ).
fof(f1236,definition,
( spl191_37
<=> sP151 ),
introduced(definition,[new_symbols(definition,[spl191_37])],[avatar_definition]) ).
fof(f1240,definition,
( spl191_38
<=> sP152 ),
introduced(definition,[new_symbols(definition,[spl191_38])],[avatar_definition]) ).
fof(f1244,definition,
( spl191_39
<=> sP153 ),
introduced(definition,[new_symbols(definition,[spl191_39])],[avatar_definition]) ).
fof(f1248,definition,
( spl191_40
<=> sP154 ),
introduced(definition,[new_symbols(definition,[spl191_40])],[avatar_definition]) ).
fof(f1252,definition,
( spl191_41
<=> sP155 ),
introduced(definition,[new_symbols(definition,[spl191_41])],[avatar_definition]) ).
fof(f1256,definition,
( spl191_42
<=> sP156 ),
introduced(definition,[new_symbols(definition,[spl191_42])],[avatar_definition]) ).
fof(f1260,definition,
( spl191_43
<=> sP157 ),
introduced(definition,[new_symbols(definition,[spl191_43])],[avatar_definition]) ).
fof(f1264,definition,
( spl191_44
<=> sP158 ),
introduced(definition,[new_symbols(definition,[spl191_44])],[avatar_definition]) ).
fof(f1268,definition,
( spl191_45
<=> sP159 ),
introduced(definition,[new_symbols(definition,[spl191_45])],[avatar_definition]) ).
fof(f1272,definition,
( spl191_46
<=> sP160 ),
introduced(definition,[new_symbols(definition,[spl191_46])],[avatar_definition]) ).
fof(f1276,definition,
( spl191_47
<=> sP161 ),
introduced(definition,[new_symbols(definition,[spl191_47])],[avatar_definition]) ).
fof(f1280,definition,
( spl191_48
<=> sP162 ),
introduced(definition,[new_symbols(definition,[spl191_48])],[avatar_definition]) ).
fof(f1284,definition,
( spl191_49
<=> sP163 ),
introduced(definition,[new_symbols(definition,[spl191_49])],[avatar_definition]) ).
fof(f1288,definition,
( spl191_50
<=> sP164 ),
introduced(definition,[new_symbols(definition,[spl191_50])],[avatar_definition]) ).
fof(f1292,definition,
( spl191_51
<=> sP165 ),
introduced(definition,[new_symbols(definition,[spl191_51])],[avatar_definition]) ).
fof(f1296,definition,
( spl191_52
<=> e4 = op(e4,unit) ),
introduced(definition,[new_symbols(definition,[spl191_52])],[avatar_definition]) ).
fof(f1298,plain,
( e4 != op(e4,unit)
| spl191_52 ),
inference(avatar_component_clause,[],[f1296]) ).
fof(f1300,definition,
( spl191_53
<=> e4 = op(unit,e4) ),
introduced(definition,[new_symbols(definition,[spl191_53])],[avatar_definition]) ).
fof(f1302,plain,
( e4 != op(unit,e4)
| spl191_53 ),
inference(avatar_component_clause,[],[f1300]) ).
fof(f1304,definition,
( spl191_54
<=> e3 = op(e3,unit) ),
introduced(definition,[new_symbols(definition,[spl191_54])],[avatar_definition]) ).
fof(f1306,plain,
( e3 != op(e3,unit)
| spl191_54 ),
inference(avatar_component_clause,[],[f1304]) ).
fof(f1308,definition,
( spl191_55
<=> e3 = op(unit,e3) ),
introduced(definition,[new_symbols(definition,[spl191_55])],[avatar_definition]) ).
fof(f1310,plain,
( e3 != op(unit,e3)
| spl191_55 ),
inference(avatar_component_clause,[],[f1308]) ).
fof(f1312,definition,
( spl191_56
<=> e2 = op(e2,unit) ),
introduced(definition,[new_symbols(definition,[spl191_56])],[avatar_definition]) ).
fof(f1314,plain,
( e2 != op(e2,unit)
| spl191_56 ),
inference(avatar_component_clause,[],[f1312]) ).
fof(f1316,definition,
( spl191_57
<=> e2 = op(unit,e2) ),
introduced(definition,[new_symbols(definition,[spl191_57])],[avatar_definition]) ).
fof(f1318,plain,
( e2 != op(unit,e2)
| spl191_57 ),
inference(avatar_component_clause,[],[f1316]) ).
fof(f1320,definition,
( spl191_58
<=> e1 = op(e1,unit) ),
introduced(definition,[new_symbols(definition,[spl191_58])],[avatar_definition]) ).
fof(f1322,plain,
( e1 != op(e1,unit)
| spl191_58 ),
inference(avatar_component_clause,[],[f1320]) ).
fof(f1324,definition,
( spl191_59
<=> e1 = op(unit,e1) ),
introduced(definition,[new_symbols(definition,[spl191_59])],[avatar_definition]) ).
fof(f1326,plain,
( e1 != op(unit,e1)
| spl191_59 ),
inference(avatar_component_clause,[],[f1324]) ).
fof(f1328,definition,
( spl191_60
<=> e0 = op(e0,unit) ),
introduced(definition,[new_symbols(definition,[spl191_60])],[avatar_definition]) ).
fof(f1330,plain,
( e0 != op(e0,unit)
| spl191_60 ),
inference(avatar_component_clause,[],[f1328]) ).
fof(f1332,definition,
( spl191_61
<=> e0 = op(unit,e0) ),
introduced(definition,[new_symbols(definition,[spl191_61])],[avatar_definition]) ).
fof(f1334,plain,
( e0 != op(unit,e0)
| spl191_61 ),
inference(avatar_component_clause,[],[f1332]) ).
fof(f1336,definition,
( spl191_62
<=> sP166 ),
introduced(definition,[new_symbols(definition,[spl191_62])],[avatar_definition]) ).
fof(f1340,definition,
( spl191_63
<=> sP167 ),
introduced(definition,[new_symbols(definition,[spl191_63])],[avatar_definition]) ).
fof(f1344,definition,
( spl191_64
<=> sP168 ),
introduced(definition,[new_symbols(definition,[spl191_64])],[avatar_definition]) ).
fof(f1348,definition,
( spl191_65
<=> sP169 ),
introduced(definition,[new_symbols(definition,[spl191_65])],[avatar_definition]) ).
fof(f1352,definition,
( spl191_66
<=> sP170 ),
introduced(definition,[new_symbols(definition,[spl191_66])],[avatar_definition]) ).
fof(f1356,definition,
( spl191_67
<=> sP171 ),
introduced(definition,[new_symbols(definition,[spl191_67])],[avatar_definition]) ).
fof(f1360,definition,
( spl191_68
<=> sP172 ),
introduced(definition,[new_symbols(definition,[spl191_68])],[avatar_definition]) ).
fof(f1364,definition,
( spl191_69
<=> sP173 ),
introduced(definition,[new_symbols(definition,[spl191_69])],[avatar_definition]) ).
fof(f1368,definition,
( spl191_70
<=> sP174 ),
introduced(definition,[new_symbols(definition,[spl191_70])],[avatar_definition]) ).
fof(f1372,definition,
( spl191_71
<=> sP175 ),
introduced(definition,[new_symbols(definition,[spl191_71])],[avatar_definition]) ).
fof(f1376,definition,
( spl191_72
<=> sP176 ),
introduced(definition,[new_symbols(definition,[spl191_72])],[avatar_definition]) ).
fof(f1380,definition,
( spl191_73
<=> sP177 ),
introduced(definition,[new_symbols(definition,[spl191_73])],[avatar_definition]) ).
fof(f1384,definition,
( spl191_74
<=> sP178 ),
introduced(definition,[new_symbols(definition,[spl191_74])],[avatar_definition]) ).
fof(f1388,definition,
( spl191_75
<=> sP179 ),
introduced(definition,[new_symbols(definition,[spl191_75])],[avatar_definition]) ).
fof(f1392,definition,
( spl191_76
<=> sP180 ),
introduced(definition,[new_symbols(definition,[spl191_76])],[avatar_definition]) ).
fof(f1396,definition,
( spl191_77
<=> sP181 ),
introduced(definition,[new_symbols(definition,[spl191_77])],[avatar_definition]) ).
fof(f1400,definition,
( spl191_78
<=> sP182 ),
introduced(definition,[new_symbols(definition,[spl191_78])],[avatar_definition]) ).
fof(f1404,definition,
( spl191_79
<=> sP183 ),
introduced(definition,[new_symbols(definition,[spl191_79])],[avatar_definition]) ).
fof(f1408,definition,
( spl191_80
<=> sP184 ),
introduced(definition,[new_symbols(definition,[spl191_80])],[avatar_definition]) ).
fof(f1412,definition,
( spl191_81
<=> sP185 ),
introduced(definition,[new_symbols(definition,[spl191_81])],[avatar_definition]) ).
fof(f1416,definition,
( spl191_82
<=> sP186 ),
introduced(definition,[new_symbols(definition,[spl191_82])],[avatar_definition]) ).
fof(f1420,definition,
( spl191_83
<=> sP187 ),
introduced(definition,[new_symbols(definition,[spl191_83])],[avatar_definition]) ).
fof(f1424,definition,
( spl191_84
<=> sP188 ),
introduced(definition,[new_symbols(definition,[spl191_84])],[avatar_definition]) ).
fof(f1428,definition,
( spl191_85
<=> sP189 ),
introduced(definition,[new_symbols(definition,[spl191_85])],[avatar_definition]) ).
fof(f1432,definition,
( spl191_86
<=> sP190 ),
introduced(definition,[new_symbols(definition,[spl191_86])],[avatar_definition]) ).
fof(f1451,definition,
( spl191_90
<=> sP113 ),
introduced(definition,[new_symbols(definition,[spl191_90])],[avatar_definition]) ).
fof(f1454,plain,
( spl191_1
| spl191_2
| spl191_3
| spl191_4
| spl191_5
| spl191_6
| spl191_7
| spl191_8
| spl191_9
| spl191_10
| spl191_11
| spl191_12
| spl191_13
| spl191_14
| spl191_15
| spl191_16
| spl191_17
| spl191_18
| spl191_19
| spl191_20
| spl191_21
| spl191_22
| spl191_23
| spl191_24
| spl191_25
| spl191_26
| spl191_27
| spl191_28
| spl191_29
| spl191_30
| spl191_31
| spl191_32
| spl191_33
| spl191_34
| spl191_35
| spl191_36
| spl191_37
| spl191_38
| spl191_39
| spl191_40
| spl191_41
| spl191_42
| spl191_43
| spl191_44
| spl191_45
| spl191_46
| spl191_47
| spl191_48
| spl191_49
| spl191_50
| spl191_51
| ~ spl191_52
| ~ spl191_53
| ~ spl191_54
| ~ spl191_55
| ~ spl191_56
| ~ spl191_57
| ~ spl191_58
| ~ spl191_59
| ~ spl191_60
| ~ spl191_61
| spl191_62
| spl191_63
| spl191_64
| spl191_65
| spl191_66
| spl191_67
| spl191_68
| spl191_69
| spl191_70
| spl191_71
| spl191_72
| spl191_73
| spl191_74
| spl191_75
| spl191_76
| spl191_77
| spl191_78
| spl191_79
| spl191_80
| spl191_81
| spl191_82
| spl191_83
| spl191_84
| spl191_85
| spl191_86
| spl191_90 ),
inference(avatar_split_clause,[],[f1069,f1451,f1432,f1428,f1424,f1420,f1416,f1412,f1408,f1404,f1400,f1396,f1392,f1388,f1384,f1380,f1376,f1372,f1368,f1364,f1360,f1356,f1352,f1348,f1344,f1340,f1336,f1332,f1328,f1324,f1320,f1316,f1312,f1308,f1304,f1300,f1296,f1292,f1288,f1284,f1280,f1276,f1272,f1268,f1264,f1260,f1256,f1252,f1248,f1244,f1240,f1236,f1232,f1228,f1224,f1220,f1216,f1212,f1208,f1204,f1200,f1196,f1192,f1188,f1184,f1180,f1176,f1172,f1168,f1164,f1160,f1156,f1152,f1148,f1144,f1140,f1136,f1132,f1128,f1124,f1120,f1116,f1112,f1108,f1104,f1100,f1096,f1092]) ).
fof(f1493,definition,
( spl191_99
<=> e2 = op(e4,e4) ),
introduced(definition,[new_symbols(definition,[spl191_99])],[avatar_definition]) ).
fof(f1494,plain,
( e2 = op(e4,e4)
| ~ spl191_99 ),
inference(avatar_component_clause,[],[f1493]) ).
fof(f1507,definition,
( spl191_102
<=> e1 = op(e4,e4) ),
introduced(definition,[new_symbols(definition,[spl191_102])],[avatar_definition]) ).
fof(f1508,plain,
( e1 = op(e4,e4)
| ~ spl191_102 ),
inference(avatar_component_clause,[],[f1507]) ).
fof(f1526,definition,
( spl191_106
<=> e4 = op(e4,e0) ),
introduced(definition,[new_symbols(definition,[spl191_106])],[avatar_definition]) ).
fof(f1528,plain,
( e4 = op(e4,e0)
| ~ spl191_106 ),
inference(avatar_component_clause,[],[f1526]) ).
fof(f1550,definition,
( spl191_111
<=> e4 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl191_111])],[avatar_definition]) ).
fof(f1552,plain,
( e4 = op(e3,e3)
| ~ spl191_111 ),
inference(avatar_component_clause,[],[f1550]) ).
fof(f1573,definition,
( spl191_116
<=> e1 = op(e3,e4) ),
introduced(definition,[new_symbols(definition,[spl191_116])],[avatar_definition]) ).
fof(f1574,plain,
( e1 = op(e3,e4)
| ~ spl191_116 ),
inference(avatar_component_clause,[],[f1573]) ).
fof(f1587,definition,
( spl191_119
<=> e0 = op(e3,e4) ),
introduced(definition,[new_symbols(definition,[spl191_119])],[avatar_definition]) ).
fof(f1588,plain,
( e0 = op(e3,e4)
| ~ spl191_119 ),
inference(avatar_component_clause,[],[f1587]) ).
fof(f1639,definition,
( spl191_130
<=> e1 = op(e2,e4) ),
introduced(definition,[new_symbols(definition,[spl191_130])],[avatar_definition]) ).
fof(f1644,definition,
( spl191_131
<=> e4 = op(e2,e1) ),
introduced(definition,[new_symbols(definition,[spl191_131])],[avatar_definition]) ).
fof(f1677,definition,
( spl191_138
<=> e3 = op(e1,e4) ),
introduced(definition,[new_symbols(definition,[spl191_138])],[avatar_definition]) ).
fof(f1678,plain,
( e3 = op(e1,e4)
| ~ spl191_138 ),
inference(avatar_component_clause,[],[f1677]) ).
fof(f1696,definition,
( spl191_142
<=> e4 = op(e1,e2) ),
introduced(definition,[new_symbols(definition,[spl191_142])],[avatar_definition]) ).
fof(f1698,plain,
( e4 = op(e1,e2)
| ~ spl191_142 ),
inference(avatar_component_clause,[],[f1696]) ).
fof(f1705,definition,
( spl191_144
<=> e1 = op(e1,e4) ),
introduced(definition,[new_symbols(definition,[spl191_144])],[avatar_definition]) ).
fof(f1706,plain,
( e1 = op(e1,e4)
| ~ spl191_144 ),
inference(avatar_component_clause,[],[f1705]) ).
fof(f1733,definition,
( spl191_150
<=> e4 = op(e0,e4) ),
introduced(definition,[new_symbols(definition,[spl191_150])],[avatar_definition]) ).
fof(f1734,plain,
( e4 = op(e0,e4)
| ~ spl191_150 ),
inference(avatar_component_clause,[],[f1733]) ).
fof(f1791,definition,
( spl191_162
<=> e1 = op(e4,e3) ),
introduced(definition,[new_symbols(definition,[spl191_162])],[avatar_definition]) ).
fof(f1796,definition,
( spl191_163
<=> e3 = op(e4,e1) ),
introduced(definition,[new_symbols(definition,[spl191_163])],[avatar_definition]) ).
fof(f1849,definition,
( spl191_174
<=> e1 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl191_174])],[avatar_definition]) ).
fof(f1850,plain,
( e1 = op(e3,e3)
| ~ spl191_174 ),
inference(avatar_component_clause,[],[f1849]) ).
fof(f1868,definition,
( spl191_178
<=> e3 = op(e3,e0) ),
introduced(definition,[new_symbols(definition,[spl191_178])],[avatar_definition]) ).
fof(f1870,plain,
( e3 = op(e3,e0)
| ~ spl191_178 ),
inference(avatar_component_clause,[],[f1868]) ).
fof(f1898,definition,
( spl191_184
<=> e3 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl191_184])],[avatar_definition]) ).
fof(f1900,plain,
( e3 = op(e2,e2)
| ~ spl191_184 ),
inference(avatar_component_clause,[],[f1898]) ).
fof(f1907,definition,
( spl191_186
<=> e1 = op(e2,e3) ),
introduced(definition,[new_symbols(definition,[spl191_186])],[avatar_definition]) ).
fof(f1908,plain,
( e1 = op(e2,e3)
| ~ spl191_186 ),
inference(avatar_component_clause,[],[f1907]) ).
fof(f1921,definition,
( spl191_189
<=> e0 = op(e2,e3) ),
introduced(definition,[new_symbols(definition,[spl191_189])],[avatar_definition]) ).
fof(f1922,plain,
( e0 = op(e2,e3)
| ~ spl191_189 ),
inference(avatar_component_clause,[],[f1921]) ).
fof(f1951,definition,
( spl191_195
<=> e2 = op(e1,e3) ),
introduced(definition,[new_symbols(definition,[spl191_195])],[avatar_definition]) ).
fof(f1952,plain,
( e2 = op(e1,e3)
| ~ spl191_195 ),
inference(avatar_component_clause,[],[f1951]) ).
fof(f1965,definition,
( spl191_198
<=> e1 = op(e1,e3) ),
introduced(definition,[new_symbols(definition,[spl191_198])],[avatar_definition]) ).
fof(f1966,plain,
( e1 = op(e1,e3)
| ~ spl191_198 ),
inference(avatar_component_clause,[],[f1965]) ).
fof(f1999,definition,
( spl191_205
<=> e3 = op(e0,e3) ),
introduced(definition,[new_symbols(definition,[spl191_205])],[avatar_definition]) ).
fof(f2000,plain,
( e3 = op(e0,e3)
| ~ spl191_205 ),
inference(avatar_component_clause,[],[f1999]) ).
fof(f2035,definition,
( spl191_212
<=> e1 = op(e4,e2) ),
introduced(definition,[new_symbols(definition,[spl191_212])],[avatar_definition]) ).
fof(f2036,plain,
( e1 = op(e4,e2)
| ~ spl191_212 ),
inference(avatar_component_clause,[],[f2035]) ).
fof(f2049,definition,
( spl191_215
<=> e0 = op(e4,e2) ),
introduced(definition,[new_symbols(definition,[spl191_215])],[avatar_definition]) ).
fof(f2050,plain,
( e0 = op(e4,e2)
| ~ spl191_215 ),
inference(avatar_component_clause,[],[f2049]) ).
fof(f2085,definition,
( spl191_222
<=> e1 = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[spl191_222])],[avatar_definition]) ).
fof(f2090,definition,
( spl191_223
<=> e2 = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[spl191_223])],[avatar_definition]) ).
fof(f2135,definition,
( spl191_232
<=> e1 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl191_232])],[avatar_definition]) ).
fof(f2136,plain,
( e1 = op(e2,e2)
| ~ spl191_232 ),
inference(avatar_component_clause,[],[f2135]) ).
fof(f2154,definition,
( spl191_236
<=> e2 = op(e2,e0) ),
introduced(definition,[new_symbols(definition,[spl191_236])],[avatar_definition]) ).
fof(f2156,plain,
( e2 = op(e2,e0)
| ~ spl191_236 ),
inference(avatar_component_clause,[],[f2154]) ).
fof(f2185,definition,
( spl191_242
<=> e1 = op(e1,e2) ),
introduced(definition,[new_symbols(definition,[spl191_242])],[avatar_definition]) ).
fof(f2186,plain,
( e1 = op(e1,e2)
| ~ spl191_242 ),
inference(avatar_component_clause,[],[f2185]) ).
fof(f2237,definition,
( spl191_253
<=> sP66 ),
introduced(definition,[new_symbols(definition,[spl191_253])],[avatar_definition]) ).
fof(f2241,definition,
( spl191_254
<=> e1 = unit ),
introduced(definition,[new_symbols(definition,[spl191_254])],[avatar_definition]) ).
fof(f2243,plain,
( e1 = unit
| ~ spl191_254 ),
inference(avatar_component_clause,[],[f2241]) ).
fof(f2245,plain,
( ~ spl191_253
| spl191_102 ),
inference(avatar_split_clause,[],[f933,f1507,f2237]) ).
fof(f2247,definition,
( spl191_255
<=> sP67 ),
introduced(definition,[new_symbols(definition,[spl191_255])],[avatar_definition]) ).
fof(f2250,plain,
( ~ spl191_255
| spl191_254
| ~ spl191_163 ),
inference(avatar_split_clause,[],[f930,f1796,f2241,f2247]) ).
fof(f2253,definition,
( spl191_256
<=> sP68 ),
introduced(definition,[new_symbols(definition,[spl191_256])],[avatar_definition]) ).
fof(f2257,plain,
( ~ spl191_256
| spl191_212 ),
inference(avatar_split_clause,[],[f929,f2035,f2253]) ).
fof(f2259,definition,
( spl191_257
<=> sP69 ),
introduced(definition,[new_symbols(definition,[spl191_257])],[avatar_definition]) ).
fof(f2263,definition,
( spl191_258
<=> e1 = op(e4,e1) ),
introduced(definition,[new_symbols(definition,[spl191_258])],[avatar_definition]) ).
fof(f2266,plain,
( ~ spl191_257
| spl191_254
| ~ spl191_258 ),
inference(avatar_split_clause,[],[f926,f2263,f2241,f2259]) ).
fof(f2267,plain,
( ~ spl191_257
| spl191_258 ),
inference(avatar_split_clause,[],[f927,f2263,f2259]) ).
fof(f2269,definition,
( spl191_259
<=> sP70 ),
introduced(definition,[new_symbols(definition,[spl191_259])],[avatar_definition]) ).
fof(f2278,definition,
( spl191_261
<=> e1 = op(e4,e0) ),
introduced(definition,[new_symbols(definition,[spl191_261])],[avatar_definition]) ).
fof(f2280,plain,
( e1 = op(e4,e0)
| ~ spl191_261 ),
inference(avatar_component_clause,[],[f2278]) ).
fof(f2281,plain,
( ~ spl191_259
| spl191_261 ),
inference(avatar_split_clause,[],[f925,f2278,f2269]) ).
fof(f2283,definition,
( spl191_262
<=> sP71 ),
introduced(definition,[new_symbols(definition,[spl191_262])],[avatar_definition]) ).
fof(f2287,plain,
( ~ spl191_262
| spl191_116 ),
inference(avatar_split_clause,[],[f923,f1573,f2283]) ).
fof(f2289,definition,
( spl191_263
<=> sP72 ),
introduced(definition,[new_symbols(definition,[spl191_263])],[avatar_definition]) ).
fof(f2293,plain,
( ~ spl191_263
| spl191_174 ),
inference(avatar_split_clause,[],[f921,f1849,f2289]) ).
fof(f2295,definition,
( spl191_264
<=> sP73 ),
introduced(definition,[new_symbols(definition,[spl191_264])],[avatar_definition]) ).
fof(f2298,plain,
( ~ spl191_264
| spl191_254
| ~ spl191_223 ),
inference(avatar_split_clause,[],[f918,f2090,f2241,f2295]) ).
fof(f2301,definition,
( spl191_265
<=> sP74 ),
introduced(definition,[new_symbols(definition,[spl191_265])],[avatar_definition]) ).
fof(f2305,definition,
( spl191_266
<=> e1 = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[spl191_266])],[avatar_definition]) ).
fof(f2308,plain,
( ~ spl191_265
| spl191_254
| ~ spl191_266 ),
inference(avatar_split_clause,[],[f916,f2305,f2241,f2301]) ).
fof(f2309,plain,
( ~ spl191_265
| spl191_266 ),
inference(avatar_split_clause,[],[f917,f2305,f2301]) ).
fof(f2311,definition,
( spl191_267
<=> sP75 ),
introduced(definition,[new_symbols(definition,[spl191_267])],[avatar_definition]) ).
fof(f2320,definition,
( spl191_269
<=> e1 = op(e3,e0) ),
introduced(definition,[new_symbols(definition,[spl191_269])],[avatar_definition]) ).
fof(f2322,plain,
( e1 = op(e3,e0)
| ~ spl191_269 ),
inference(avatar_component_clause,[],[f2320]) ).
fof(f2323,plain,
( ~ spl191_267
| spl191_269 ),
inference(avatar_split_clause,[],[f915,f2320,f2311]) ).
fof(f2325,definition,
( spl191_270
<=> sP76 ),
introduced(definition,[new_symbols(definition,[spl191_270])],[avatar_definition]) ).
fof(f2328,plain,
( ~ spl191_270
| spl191_254
| ~ spl191_131 ),
inference(avatar_split_clause,[],[f912,f1644,f2241,f2325]) ).
fof(f2331,definition,
( spl191_271
<=> sP77 ),
introduced(definition,[new_symbols(definition,[spl191_271])],[avatar_definition]) ).
fof(f2335,plain,
( ~ spl191_271
| spl191_186 ),
inference(avatar_split_clause,[],[f911,f1907,f2331]) ).
fof(f2337,definition,
( spl191_272
<=> sP78 ),
introduced(definition,[new_symbols(definition,[spl191_272])],[avatar_definition]) ).
fof(f2341,plain,
( ~ spl191_272
| spl191_232 ),
inference(avatar_split_clause,[],[f909,f2135,f2337]) ).
fof(f2343,definition,
( spl191_273
<=> sP79 ),
introduced(definition,[new_symbols(definition,[spl191_273])],[avatar_definition]) ).
fof(f2347,definition,
( spl191_274
<=> e1 = op(e2,e1) ),
introduced(definition,[new_symbols(definition,[spl191_274])],[avatar_definition]) ).
fof(f2350,plain,
( ~ spl191_273
| spl191_254
| ~ spl191_274 ),
inference(avatar_split_clause,[],[f906,f2347,f2241,f2343]) ).
fof(f2351,plain,
( ~ spl191_273
| spl191_274 ),
inference(avatar_split_clause,[],[f907,f2347,f2343]) ).
fof(f2353,definition,
( spl191_275
<=> sP80 ),
introduced(definition,[new_symbols(definition,[spl191_275])],[avatar_definition]) ).
fof(f2362,definition,
( spl191_277
<=> e1 = op(e2,e0) ),
introduced(definition,[new_symbols(definition,[spl191_277])],[avatar_definition]) ).
fof(f2364,plain,
( e1 = op(e2,e0)
| ~ spl191_277 ),
inference(avatar_component_clause,[],[f2362]) ).
fof(f2365,plain,
( ~ spl191_275
| spl191_277 ),
inference(avatar_split_clause,[],[f905,f2362,f2353]) ).
fof(f2367,definition,
( spl191_278
<=> sP81 ),
introduced(definition,[new_symbols(definition,[spl191_278])],[avatar_definition]) ).
fof(f2371,plain,
( ~ spl191_278
| spl191_144 ),
inference(avatar_split_clause,[],[f903,f1705,f2367]) ).
fof(f2373,definition,
( spl191_279
<=> sP82 ),
introduced(definition,[new_symbols(definition,[spl191_279])],[avatar_definition]) ).
fof(f2377,plain,
( ~ spl191_279
| spl191_198 ),
inference(avatar_split_clause,[],[f901,f1965,f2373]) ).
fof(f2379,definition,
( spl191_280
<=> sP83 ),
introduced(definition,[new_symbols(definition,[spl191_280])],[avatar_definition]) ).
fof(f2383,plain,
( ~ spl191_280
| spl191_242 ),
inference(avatar_split_clause,[],[f899,f2185,f2379]) ).
fof(f2385,definition,
( spl191_281
<=> sP84 ),
introduced(definition,[new_symbols(definition,[spl191_281])],[avatar_definition]) ).
fof(f2389,definition,
( spl191_282
<=> e1 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl191_282])],[avatar_definition]) ).
fof(f2392,plain,
( ~ spl191_281
| spl191_254
| ~ spl191_282 ),
inference(avatar_split_clause,[],[f896,f2389,f2241,f2385]) ).
fof(f2393,plain,
( ~ spl191_281
| spl191_282 ),
inference(avatar_split_clause,[],[f897,f2389,f2385]) ).
fof(f2395,definition,
( spl191_283
<=> sP85 ),
introduced(definition,[new_symbols(definition,[spl191_283])],[avatar_definition]) ).
fof(f2399,definition,
( spl191_284
<=> e0 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl191_284])],[avatar_definition]) ).
fof(f2402,plain,
( ~ spl191_283
| spl191_254
| ~ spl191_284 ),
inference(avatar_split_clause,[],[f894,f2399,f2241,f2395]) ).
fof(f2404,definition,
( spl191_285
<=> e1 = op(e1,e0) ),
introduced(definition,[new_symbols(definition,[spl191_285])],[avatar_definition]) ).
fof(f2409,definition,
( spl191_286
<=> sP86 ),
introduced(definition,[new_symbols(definition,[spl191_286])],[avatar_definition]) ).
fof(f2418,definition,
( spl191_288
<=> e1 = op(e0,e4) ),
introduced(definition,[new_symbols(definition,[spl191_288])],[avatar_definition]) ).
fof(f2420,plain,
( e1 = op(e0,e4)
| ~ spl191_288 ),
inference(avatar_component_clause,[],[f2418]) ).
fof(f2421,plain,
( ~ spl191_286
| spl191_288 ),
inference(avatar_split_clause,[],[f893,f2418,f2409]) ).
fof(f2423,definition,
( spl191_289
<=> sP87 ),
introduced(definition,[new_symbols(definition,[spl191_289])],[avatar_definition]) ).
fof(f2432,definition,
( spl191_291
<=> e1 = op(e0,e3) ),
introduced(definition,[new_symbols(definition,[spl191_291])],[avatar_definition]) ).
fof(f2434,plain,
( e1 = op(e0,e3)
| ~ spl191_291 ),
inference(avatar_component_clause,[],[f2432]) ).
fof(f2435,plain,
( ~ spl191_289
| spl191_291 ),
inference(avatar_split_clause,[],[f891,f2432,f2423]) ).
fof(f2441,definition,
( spl191_293
<=> e0 = unit ),
introduced(definition,[new_symbols(definition,[spl191_293])],[avatar_definition]) ).
fof(f2443,plain,
( e0 = unit
| ~ spl191_293 ),
inference(avatar_component_clause,[],[f2441]) ).
fof(f2621,definition,
( spl191_323
<=> e2 = op(e0,e2) ),
introduced(definition,[new_symbols(definition,[spl191_323])],[avatar_definition]) ).
fof(f2622,plain,
( e2 = op(e0,e2)
| ~ spl191_323 ),
inference(avatar_component_clause,[],[f2621]) ).
fof(f2625,definition,
( spl191_324
<=> e1 = op(e0,e2) ),
introduced(definition,[new_symbols(definition,[spl191_324])],[avatar_definition]) ).
fof(f2626,plain,
( e1 = op(e0,e2)
| ~ spl191_324 ),
inference(avatar_component_clause,[],[f2625]) ).
fof(f2649,definition,
( spl191_328
<=> e1 = op(e0,e1) ),
introduced(definition,[new_symbols(definition,[spl191_328])],[avatar_definition]) ).
fof(f2661,definition,
( spl191_330
<=> e1 = op(e0,e0) ),
introduced(definition,[new_symbols(definition,[spl191_330])],[avatar_definition]) ).
fof(f2663,plain,
( e1 = op(e0,e0)
| ~ spl191_330 ),
inference(avatar_component_clause,[],[f2661]) ).
fof(f2665,plain,
( ~ spl191_90
| spl191_253
| spl191_255
| spl191_256
| spl191_257
| spl191_259
| spl191_262
| spl191_263
| spl191_264
| spl191_265
| spl191_267
| spl191_270
| spl191_271
| spl191_272
| spl191_273
| spl191_275
| spl191_278
| spl191_279
| spl191_280
| spl191_281
| spl191_283
| spl191_286
| spl191_289
| spl191_324
| spl191_254
| ~ spl191_328
| spl191_330 ),
inference(avatar_split_clause,[],[f819,f2661,f2649,f2241,f2625,f2423,f2409,f2395,f2385,f2379,f2373,f2367,f2353,f2343,f2337,f2331,f2325,f2311,f2301,f2295,f2289,f2283,f2269,f2259,f2253,f2247,f2237,f1451]) ).
fof(f2669,definition,
( spl191_331
<=> e0 = op(e0,e0) ),
introduced(definition,[new_symbols(definition,[spl191_331])],[avatar_definition]) ).
fof(f2670,plain,
( e0 = op(e0,e0)
| ~ spl191_331 ),
inference(avatar_component_clause,[],[f2669]) ).
fof(f2684,plain,
( ~ spl191_1
| ~ spl191_150 ),
inference(avatar_split_clause,[],[f805,f1733,f1092]) ).
fof(f2689,plain,
( ~ spl191_2
| ~ spl191_106 ),
inference(avatar_split_clause,[],[f800,f1526,f1096]) ).
fof(f2693,plain,
( ~ spl191_3
| ~ spl191_138 ),
inference(avatar_split_clause,[],[f794,f1677,f1100]) ).
fof(f2698,plain,
( ~ spl191_4
| ~ spl191_163 ),
inference(avatar_split_clause,[],[f789,f1796,f1104]) ).
fof(f2700,plain,
( ~ spl191_5
| ~ spl191_99 ),
inference(avatar_split_clause,[],[f781,f1493,f1108]) ).
fof(f2705,plain,
( ~ spl191_6
| ~ spl191_99 ),
inference(avatar_split_clause,[],[f776,f1493,f1112]) ).
fof(f2712,plain,
( ~ spl191_7
| ~ spl191_130 ),
inference(avatar_split_clause,[],[f773,f1639,f1116]) ).
fof(f2716,plain,
( ~ spl191_8
| ~ spl191_162 ),
inference(avatar_split_clause,[],[f767,f1791,f1120]) ).
fof(f2721,plain,
( ~ spl191_9
| ~ spl191_119 ),
inference(avatar_split_clause,[],[f762,f1587,f1124]) ).
fof(f2727,plain,
( ~ spl191_10
| ~ spl191_215 ),
inference(avatar_split_clause,[],[f758,f2049,f1128]) ).
fof(f2731,plain,
( ~ spl191_11
| ~ spl191_111 ),
inference(avatar_split_clause,[],[f752,f1550,f1132]) ).
fof(f2736,plain,
( ~ spl191_12
| ~ spl191_111 ),
inference(avatar_split_clause,[],[f747,f1550,f1136]) ).
fof(f2744,plain,
( ~ spl191_13
| ~ spl191_205 ),
inference(avatar_split_clause,[],[f745,f1999,f1140]) ).
fof(f2749,plain,
( ~ spl191_14
| ~ spl191_178 ),
inference(avatar_split_clause,[],[f740,f1868,f1144]) ).
fof(f2753,plain,
( ~ spl191_15
| ~ spl191_195 ),
inference(avatar_split_clause,[],[f734,f1951,f1148]) ).
fof(f2758,plain,
( ~ spl191_16
| ~ spl191_223 ),
inference(avatar_split_clause,[],[f729,f2090,f1152]) ).
fof(f2760,plain,
( ~ spl191_17
| ~ spl191_162 ),
inference(avatar_split_clause,[],[f721,f1791,f1156]) ).
fof(f2767,plain,
( ~ spl191_18
| ~ spl191_222 ),
inference(avatar_split_clause,[],[f718,f2085,f1160]) ).
fof(f2772,plain,
( ~ spl191_19
| ~ spl191_189 ),
inference(avatar_split_clause,[],[f713,f1921,f1164]) ).
fof(f2775,plain,
( ~ spl191_20
| ~ spl191_119 ),
inference(avatar_split_clause,[],[f706,f1587,f1168]) ).
fof(f2783,plain,
( ~ spl191_21
| ~ spl191_142 ),
inference(avatar_split_clause,[],[f704,f1696,f1172]) ).
fof(f2788,plain,
( ~ spl191_22
| ~ spl191_131 ),
inference(avatar_split_clause,[],[f699,f1644,f1176]) ).
fof(f2792,plain,
( ~ spl191_23
| ~ spl191_184 ),
inference(avatar_split_clause,[],[f693,f1898,f1180]) ).
fof(f2797,plain,
( ~ spl191_24
| ~ spl191_184 ),
inference(avatar_split_clause,[],[f688,f1898,f1184]) ).
fof(f2804,plain,
( ~ spl191_25
| ~ spl191_323 ),
inference(avatar_split_clause,[],[f685,f2621,f1188]) ).
fof(f2809,plain,
( ~ spl191_26
| ~ spl191_236 ),
inference(avatar_split_clause,[],[f680,f2154,f1192]) ).
fof(f2811,plain,
( ~ spl191_27
| ~ spl191_222 ),
inference(avatar_split_clause,[],[f672,f2085,f1196]) ).
fof(f2815,plain,
( ~ spl191_28
| ~ spl191_130 ),
inference(avatar_split_clause,[],[f666,f1639,f1200]) ).
fof(f2820,plain,
( ~ spl191_29
| ~ spl191_215 ),
inference(avatar_split_clause,[],[f661,f2049,f1204]) ).
fof(f2826,plain,
( ~ spl191_30
| ~ spl191_189 ),
inference(avatar_split_clause,[],[f657,f1921,f1208]) ).
fof(f2832,plain,
( ~ spl191_31
| ~ spl191_131 ),
inference(avatar_split_clause,[],[f653,f1644,f1212]) ).
fof(f2837,plain,
( ~ spl191_32
| ~ spl191_142 ),
inference(avatar_split_clause,[],[f648,f1696,f1216]) ).
fof(f2840,plain,
( ~ spl191_33
| ~ spl191_163 ),
inference(avatar_split_clause,[],[f641,f1796,f1220]) ).
fof(f2845,plain,
( ~ spl191_34
| ~ spl191_138 ),
inference(avatar_split_clause,[],[f636,f1677,f1224]) ).
fof(f2851,plain,
( ~ spl191_35
| ~ spl191_223 ),
inference(avatar_split_clause,[],[f632,f2090,f1228]) ).
fof(f2856,plain,
( ~ spl191_36
| ~ spl191_195 ),
inference(avatar_split_clause,[],[f627,f1951,f1232]) ).
fof(f2864,plain,
( ~ spl191_37
| ~ spl191_328 ),
inference(avatar_split_clause,[],[f625,f2649,f1236]) ).
fof(f2869,plain,
( ~ spl191_38
| ~ spl191_285 ),
inference(avatar_split_clause,[],[f620,f2404,f1240]) ).
fof(f2873,plain,
( ~ spl191_39
| ~ spl191_284 ),
inference(avatar_split_clause,[],[f614,f2399,f1244]) ).
fof(f2878,plain,
( ~ spl191_40
| ~ spl191_284 ),
inference(avatar_split_clause,[],[f609,f2399,f1248]) ).
fof(f2880,plain,
( ~ spl191_41
| ~ spl191_106 ),
inference(avatar_split_clause,[],[f601,f1526,f1252]) ).
fof(f2885,plain,
( ~ spl191_42
| ~ spl191_150 ),
inference(avatar_split_clause,[],[f596,f1733,f1256]) ).
fof(f2891,plain,
( ~ spl191_43
| ~ spl191_178 ),
inference(avatar_split_clause,[],[f592,f1868,f1260]) ).
fof(f2896,plain,
( ~ spl191_44
| ~ spl191_205 ),
inference(avatar_split_clause,[],[f587,f1999,f1264]) ).
fof(f2902,plain,
( ~ spl191_45
| ~ spl191_236 ),
inference(avatar_split_clause,[],[f583,f2154,f1268]) ).
fof(f2907,plain,
( ~ spl191_46
| ~ spl191_323 ),
inference(avatar_split_clause,[],[f578,f2621,f1272]) ).
fof(f2913,plain,
( ~ spl191_47
| ~ spl191_285 ),
inference(avatar_split_clause,[],[f574,f2404,f1276]) ).
fof(f2918,plain,
( ~ spl191_48
| ~ spl191_328 ),
inference(avatar_split_clause,[],[f569,f2649,f1280]) ).
fof(f2924,plain,
( ~ spl191_49
| ~ spl191_331 ),
inference(avatar_split_clause,[],[f565,f2669,f1284]) ).
fof(f2929,plain,
( ~ spl191_50
| ~ spl191_331 ),
inference(avatar_split_clause,[],[f560,f2669,f1288]) ).
fof(f2934,plain,
( ~ spl191_51
| ~ spl191_293 ),
inference(avatar_split_clause,[],[f555,f2441,f1292]) ).
fof(f2937,plain,
( ~ spl191_62
| ~ spl191_99 ),
inference(avatar_split_clause,[],[f548,f1493,f1336]) ).
fof(f2943,plain,
( ~ spl191_63
| ~ spl191_162 ),
inference(avatar_split_clause,[],[f544,f1791,f1340]) ).
fof(f2949,plain,
( ~ spl191_64
| ~ spl191_215 ),
inference(avatar_split_clause,[],[f540,f2049,f1344]) ).
fof(f2951,plain,
( ~ spl191_65
| ~ spl191_163 ),
inference(avatar_split_clause,[],[f532,f1796,f1348]) ).
fof(f2955,plain,
( ~ spl191_66
| ~ spl191_106 ),
inference(avatar_split_clause,[],[f526,f1526,f1352]) ).
fof(f2964,plain,
( ~ spl191_67
| ~ spl191_119 ),
inference(avatar_split_clause,[],[f525,f1587,f1356]) ).
fof(f2965,plain,
( ~ spl191_68
| ~ spl191_111 ),
inference(avatar_split_clause,[],[f516,f1550,f1360]) ).
fof(f2973,plain,
( ~ spl191_69
| ~ spl191_222 ),
inference(avatar_split_clause,[],[f514,f2085,f1364]) ).
fof(f2977,plain,
( ~ spl191_70
| ~ spl191_223 ),
inference(avatar_split_clause,[],[f508,f2090,f1368]) ).
fof(f2981,plain,
( ~ spl191_71
| ~ spl191_178 ),
inference(avatar_split_clause,[],[f502,f1868,f1372]) ).
fof(f2988,plain,
( ~ spl191_72
| ~ spl191_130 ),
inference(avatar_split_clause,[],[f499,f1639,f1376]) ).
fof(f2994,plain,
( ~ spl191_73
| ~ spl191_189 ),
inference(avatar_split_clause,[],[f495,f1921,f1380]) ).
fof(f2996,plain,
( ~ spl191_74
| ~ spl191_184 ),
inference(avatar_split_clause,[],[f487,f1898,f1384]) ).
fof(f3000,plain,
( ~ spl191_75
| ~ spl191_131 ),
inference(avatar_split_clause,[],[f481,f1644,f1388]) ).
fof(f3007,plain,
( ~ spl191_76
| ~ spl191_236 ),
inference(avatar_split_clause,[],[f478,f2154,f1392]) ).
fof(f3011,plain,
( ~ spl191_77
| ~ spl191_138 ),
inference(avatar_split_clause,[],[f472,f1677,f1396]) ).
fof(f3017,plain,
( ~ spl191_78
| ~ spl191_195 ),
inference(avatar_split_clause,[],[f468,f1951,f1400]) ).
fof(f3020,plain,
( ~ spl191_79
| ~ spl191_142 ),
inference(avatar_split_clause,[],[f461,f1696,f1404]) ).
fof(f3029,plain,
( ~ spl191_80
| ~ spl191_284 ),
inference(avatar_split_clause,[],[f460,f2399,f1408]) ).
fof(f3033,plain,
( ~ spl191_81
| ~ spl191_285 ),
inference(avatar_split_clause,[],[f454,f2404,f1412]) ).
fof(f3035,plain,
( ~ spl191_82
| ~ spl191_150 ),
inference(avatar_split_clause,[],[f446,f1733,f1416]) ).
fof(f3041,plain,
( ~ spl191_83
| ~ spl191_205 ),
inference(avatar_split_clause,[],[f442,f1999,f1420]) ).
fof(f3047,plain,
( ~ spl191_84
| ~ spl191_323 ),
inference(avatar_split_clause,[],[f438,f2621,f1424]) ).
fof(f3053,plain,
( ~ spl191_85
| ~ spl191_328 ),
inference(avatar_split_clause,[],[f434,f2649,f1428]) ).
fof(f3059,plain,
( ~ spl191_86
| ~ spl191_331 ),
inference(avatar_split_clause,[],[f430,f2669,f1432]) ).
fof(f3060,plain,
spl191_99,
inference(avatar_split_clause,[],[f400,f1493]) ).
fof(f3061,plain,
spl191_162,
inference(avatar_split_clause,[],[f401,f1791]) ).
fof(f3062,plain,
spl191_215,
inference(avatar_split_clause,[],[f402,f2049]) ).
fof(f3063,plain,
spl191_163,
inference(avatar_split_clause,[],[f403,f1796]) ).
fof(f3064,plain,
spl191_106,
inference(avatar_split_clause,[],[f404,f1526]) ).
fof(f3065,plain,
spl191_119,
inference(avatar_split_clause,[],[f405,f1587]) ).
fof(f3066,plain,
spl191_111,
inference(avatar_split_clause,[],[f406,f1550]) ).
fof(f3067,plain,
spl191_222,
inference(avatar_split_clause,[],[f407,f2085]) ).
fof(f3068,plain,
spl191_223,
inference(avatar_split_clause,[],[f408,f2090]) ).
fof(f3069,plain,
spl191_178,
inference(avatar_split_clause,[],[f409,f1868]) ).
fof(f3070,plain,
spl191_130,
inference(avatar_split_clause,[],[f410,f1639]) ).
fof(f3071,plain,
spl191_189,
inference(avatar_split_clause,[],[f411,f1921]) ).
fof(f3072,plain,
spl191_184,
inference(avatar_split_clause,[],[f412,f1898]) ).
fof(f3073,plain,
spl191_131,
inference(avatar_split_clause,[],[f413,f1644]) ).
fof(f3074,plain,
spl191_236,
inference(avatar_split_clause,[],[f414,f2154]) ).
fof(f3075,plain,
spl191_138,
inference(avatar_split_clause,[],[f415,f1677]) ).
fof(f3076,plain,
spl191_195,
inference(avatar_split_clause,[],[f416,f1951]) ).
fof(f3077,plain,
spl191_142,
inference(avatar_split_clause,[],[f417,f1696]) ).
fof(f3078,plain,
spl191_284,
inference(avatar_split_clause,[],[f418,f2399]) ).
fof(f3079,plain,
spl191_285,
inference(avatar_split_clause,[],[f419,f2404]) ).
fof(f3080,plain,
spl191_150,
inference(avatar_split_clause,[],[f420,f1733]) ).
fof(f3081,plain,
spl191_205,
inference(avatar_split_clause,[],[f421,f1999]) ).
fof(f3082,plain,
spl191_323,
inference(avatar_split_clause,[],[f422,f2621]) ).
fof(f3083,plain,
spl191_328,
inference(avatar_split_clause,[],[f423,f2649]) ).
fof(f3084,plain,
spl191_331,
inference(avatar_split_clause,[],[f424,f2669]) ).
fof(f3085,plain,
spl191_293,
inference(avatar_split_clause,[],[f425,f2441]) ).
fof(f3086,plain,
( e4 != op(e4,e0)
| spl191_52
| ~ spl191_293 ),
inference(superposition,[],[f1298,f2443]) ).
fof(f3087,plain,
( ~ spl191_106
| spl191_52
| ~ spl191_293 ),
inference(avatar_split_clause,[],[f3086,f2441,f1296,f1526]) ).
fof(f3089,plain,
( e4 != op(e0,e4)
| spl191_53
| ~ spl191_293 ),
inference(forward_demodulation,[],[f1302,f2443]) ).
fof(f3091,plain,
( ~ spl191_150
| spl191_53
| ~ spl191_293 ),
inference(avatar_split_clause,[],[f3089,f2441,f1300,f1733]) ).
fof(f3093,plain,
( e3 != op(e3,e0)
| spl191_54
| ~ spl191_293 ),
inference(forward_demodulation,[],[f1306,f2443]) ).
fof(f3095,plain,
( ~ spl191_178
| spl191_54
| ~ spl191_293 ),
inference(avatar_split_clause,[],[f3093,f2441,f1304,f1868]) ).
fof(f3097,plain,
( e3 != op(e0,e3)
| spl191_55
| ~ spl191_293 ),
inference(forward_demodulation,[],[f1310,f2443]) ).
fof(f3099,plain,
( ~ spl191_205
| spl191_55
| ~ spl191_293 ),
inference(avatar_split_clause,[],[f3097,f2441,f1308,f1999]) ).
fof(f3101,plain,
( e2 != op(e2,e0)
| spl191_56
| ~ spl191_293 ),
inference(forward_demodulation,[],[f1314,f2443]) ).
fof(f3103,plain,
( ~ spl191_236
| spl191_56
| ~ spl191_293 ),
inference(avatar_split_clause,[],[f3101,f2441,f1312,f2154]) ).
fof(f3105,plain,
( e2 != op(e0,e2)
| spl191_57
| ~ spl191_293 ),
inference(forward_demodulation,[],[f1318,f2443]) ).
fof(f3107,plain,
( ~ spl191_323
| spl191_57
| ~ spl191_293 ),
inference(avatar_split_clause,[],[f3105,f2441,f1316,f2621]) ).
fof(f3109,plain,
( e1 != op(e1,e0)
| spl191_58
| ~ spl191_293 ),
inference(forward_demodulation,[],[f1322,f2443]) ).
fof(f3111,plain,
( ~ spl191_285
| spl191_58
| ~ spl191_293 ),
inference(avatar_split_clause,[],[f3109,f2441,f1320,f2404]) ).
fof(f3113,plain,
( e1 != op(e0,e1)
| spl191_59
| ~ spl191_293 ),
inference(forward_demodulation,[],[f1326,f2443]) ).
fof(f3115,plain,
( ~ spl191_328
| spl191_59
| ~ spl191_293 ),
inference(avatar_split_clause,[],[f3113,f2441,f1324,f2649]) ).
fof(f3117,plain,
( e0 != op(e0,e0)
| spl191_60
| ~ spl191_293 ),
inference(forward_demodulation,[],[f1330,f2443]) ).
fof(f3119,plain,
( ~ spl191_331
| spl191_60
| ~ spl191_293 ),
inference(avatar_split_clause,[],[f3117,f2441,f1328,f2669]) ).
fof(f3121,plain,
( e0 != op(e0,e0)
| spl191_61
| ~ spl191_293 ),
inference(forward_demodulation,[],[f1334,f2443]) ).
fof(f3123,plain,
( ~ spl191_331
| spl191_61
| ~ spl191_293 ),
inference(avatar_split_clause,[],[f3121,f2441,f1332,f2669]) ).
fof(f3149,plain,
( e1 = e2
| ~ spl191_99
| ~ spl191_102 ),
inference(superposition,[],[f1508,f1494]) ).
fof(f3153,plain,
( $false
| ~ spl191_99
| ~ spl191_102 ),
inference(forward_subsumption_resolution,[],[f3149,f395]) ).
fof(f3154,plain,
( ~ spl191_99
| ~ spl191_102 ),
inference(avatar_contradiction_clause,[],[f3153]) ).
fof(f3199,plain,
( e0 = e1
| ~ spl191_330
| ~ spl191_331 ),
inference(superposition,[],[f2670,f2663]) ).
fof(f3203,plain,
( $false
| ~ spl191_330
| ~ spl191_331 ),
inference(forward_subsumption_resolution,[],[f3199,f399]) ).
fof(f3204,plain,
( ~ spl191_330
| ~ spl191_331 ),
inference(avatar_contradiction_clause,[],[f3203]) ).
fof(f3205,plain,
( e0 = e1
| ~ spl191_254
| ~ spl191_293 ),
inference(forward_demodulation,[],[f2243,f2443]) ).
fof(f3207,plain,
( $false
| ~ spl191_254
| ~ spl191_293 ),
inference(forward_subsumption_resolution,[],[f3205,f399]) ).
fof(f3208,plain,
( ~ spl191_254
| ~ spl191_293 ),
inference(avatar_contradiction_clause,[],[f3207]) ).
fof(f3209,plain,
( e0 = e1
| ~ spl191_212
| ~ spl191_215 ),
inference(forward_demodulation,[],[f2036,f2050]) ).
fof(f3212,plain,
( $false
| ~ spl191_212
| ~ spl191_215 ),
inference(forward_subsumption_resolution,[],[f3209,f399]) ).
fof(f3213,plain,
( ~ spl191_212
| ~ spl191_215 ),
inference(avatar_contradiction_clause,[],[f3212]) ).
fof(f3216,plain,
( e1 = e4
| ~ spl191_106
| ~ spl191_261 ),
inference(superposition,[],[f2280,f1528]) ).
fof(f3220,plain,
( $false
| ~ spl191_106
| ~ spl191_261 ),
inference(forward_subsumption_resolution,[],[f3216,f393]) ).
fof(f3221,plain,
( ~ spl191_106
| ~ spl191_261 ),
inference(avatar_contradiction_clause,[],[f3220]) ).
fof(f3222,plain,
( e0 = e1
| ~ spl191_116
| ~ spl191_119 ),
inference(forward_demodulation,[],[f1574,f1588]) ).
fof(f3225,plain,
( $false
| ~ spl191_116
| ~ spl191_119 ),
inference(forward_subsumption_resolution,[],[f3222,f399]) ).
fof(f3226,plain,
( ~ spl191_116
| ~ spl191_119 ),
inference(avatar_contradiction_clause,[],[f3225]) ).
fof(f3228,plain,
( e1 = e4
| ~ spl191_111
| ~ spl191_174 ),
inference(superposition,[],[f1850,f1552]) ).
fof(f3232,plain,
( $false
| ~ spl191_111
| ~ spl191_174 ),
inference(forward_subsumption_resolution,[],[f3228,f393]) ).
fof(f3233,plain,
( ~ spl191_111
| ~ spl191_174 ),
inference(avatar_contradiction_clause,[],[f3232]) ).
fof(f3236,plain,
( e1 = e3
| ~ spl191_178
| ~ spl191_269 ),
inference(superposition,[],[f2322,f1870]) ).
fof(f3240,plain,
( $false
| ~ spl191_178
| ~ spl191_269 ),
inference(forward_subsumption_resolution,[],[f3236,f394]) ).
fof(f3241,plain,
( ~ spl191_178
| ~ spl191_269 ),
inference(avatar_contradiction_clause,[],[f3240]) ).
fof(f3242,plain,
( e0 = e1
| ~ spl191_186
| ~ spl191_189 ),
inference(forward_demodulation,[],[f1908,f1922]) ).
fof(f3245,plain,
( $false
| ~ spl191_186
| ~ spl191_189 ),
inference(forward_subsumption_resolution,[],[f3242,f399]) ).
fof(f3246,plain,
( ~ spl191_186
| ~ spl191_189 ),
inference(avatar_contradiction_clause,[],[f3245]) ).
fof(f3249,plain,
( e1 = e3
| ~ spl191_184
| ~ spl191_232 ),
inference(superposition,[],[f2136,f1900]) ).
fof(f3253,plain,
( $false
| ~ spl191_184
| ~ spl191_232 ),
inference(forward_subsumption_resolution,[],[f3249,f394]) ).
fof(f3254,plain,
( ~ spl191_184
| ~ spl191_232 ),
inference(avatar_contradiction_clause,[],[f3253]) ).
fof(f3257,plain,
( e1 = e2
| ~ spl191_236
| ~ spl191_277 ),
inference(superposition,[],[f2364,f2156]) ).
fof(f3261,plain,
( $false
| ~ spl191_236
| ~ spl191_277 ),
inference(forward_subsumption_resolution,[],[f3257,f395]) ).
fof(f3262,plain,
( ~ spl191_236
| ~ spl191_277 ),
inference(avatar_contradiction_clause,[],[f3261]) ).
fof(f3265,plain,
( e1 = e3
| ~ spl191_138
| ~ spl191_144 ),
inference(superposition,[],[f1706,f1678]) ).
fof(f3269,plain,
( $false
| ~ spl191_138
| ~ spl191_144 ),
inference(forward_subsumption_resolution,[],[f3265,f394]) ).
fof(f3270,plain,
( ~ spl191_138
| ~ spl191_144 ),
inference(avatar_contradiction_clause,[],[f3269]) ).
fof(f3273,plain,
( e1 = e2
| ~ spl191_195
| ~ spl191_198 ),
inference(superposition,[],[f1966,f1952]) ).
fof(f3277,plain,
( $false
| ~ spl191_195
| ~ spl191_198 ),
inference(forward_subsumption_resolution,[],[f3273,f395]) ).
fof(f3278,plain,
( ~ spl191_195
| ~ spl191_198 ),
inference(avatar_contradiction_clause,[],[f3277]) ).
fof(f3281,plain,
( e1 = e4
| ~ spl191_142
| ~ spl191_242 ),
inference(superposition,[],[f2186,f1698]) ).
fof(f3285,plain,
( $false
| ~ spl191_142
| ~ spl191_242 ),
inference(forward_subsumption_resolution,[],[f3281,f393]) ).
fof(f3286,plain,
( ~ spl191_142
| ~ spl191_242 ),
inference(avatar_contradiction_clause,[],[f3285]) ).
fof(f3289,plain,
( e1 = e4
| ~ spl191_150
| ~ spl191_288 ),
inference(superposition,[],[f2420,f1734]) ).
fof(f3293,plain,
( $false
| ~ spl191_150
| ~ spl191_288 ),
inference(forward_subsumption_resolution,[],[f3289,f393]) ).
fof(f3294,plain,
( ~ spl191_150
| ~ spl191_288 ),
inference(avatar_contradiction_clause,[],[f3293]) ).
fof(f3297,plain,
( e1 = e3
| ~ spl191_205
| ~ spl191_291 ),
inference(superposition,[],[f2434,f2000]) ).
fof(f3301,plain,
( $false
| ~ spl191_205
| ~ spl191_291 ),
inference(forward_subsumption_resolution,[],[f3297,f394]) ).
fof(f3302,plain,
( ~ spl191_205
| ~ spl191_291 ),
inference(avatar_contradiction_clause,[],[f3301]) ).
fof(f3304,plain,
( e1 = e2
| ~ spl191_323
| ~ spl191_324 ),
inference(superposition,[],[f2626,f2622]) ).
fof(f3308,plain,
( $false
| ~ spl191_323
| ~ spl191_324 ),
inference(forward_subsumption_resolution,[],[f3304,f395]) ).
fof(f3309,plain,
( ~ spl191_323
| ~ spl191_324 ),
inference(avatar_contradiction_clause,[],[f3308]) ).
cnf(s4,plain,
( spl191_1
| spl191_2
| spl191_3
| spl191_4
| spl191_5
| spl191_6
| spl191_7
| spl191_8
| spl191_9
| spl191_10
| spl191_11
| spl191_12
| spl191_13
| spl191_14
| spl191_15
| spl191_16
| spl191_17
| spl191_18
| spl191_19
| spl191_20
| spl191_21
| spl191_22
| spl191_23
| spl191_24
| spl191_25
| spl191_26
| spl191_27
| spl191_28
| spl191_29
| spl191_30
| spl191_31
| spl191_32
| spl191_33
| spl191_34
| spl191_35
| spl191_36
| spl191_37
| spl191_38
| spl191_39
| spl191_40
| spl191_41
| spl191_42
| spl191_43
| spl191_44
| spl191_45
| spl191_46
| spl191_47
| spl191_48
| spl191_49
| spl191_50
| spl191_51
| ~ spl191_52
| ~ spl191_53
| ~ spl191_54
| ~ spl191_55
| ~ spl191_56
| ~ spl191_57
| ~ spl191_58
| ~ spl191_59
| ~ spl191_60
| ~ spl191_61
| spl191_62
| spl191_63
| spl191_64
| spl191_65
| spl191_66
| spl191_67
| spl191_68
| spl191_69
| spl191_70
| spl191_71
| spl191_72
| spl191_73
| spl191_74
| spl191_75
| spl191_76
| spl191_77
| spl191_78
| spl191_79
| spl191_80
| spl191_81
| spl191_82
| spl191_83
| spl191_84
| spl191_85
| spl191_86
| spl191_90 ),
inference(sat_conversion,[],[f1454]) ).
cnf(s139,plain,
( spl191_102
| ~ spl191_253 ),
inference(sat_conversion,[],[f2245]) ).
cnf(s140,plain,
( ~ spl191_163
| spl191_254
| ~ spl191_255 ),
inference(sat_conversion,[],[f2250]) ).
cnf(s143,plain,
( spl191_212
| ~ spl191_256 ),
inference(sat_conversion,[],[f2257]) ).
cnf(s144,plain,
( spl191_254
| ~ spl191_257
| ~ spl191_258 ),
inference(sat_conversion,[],[f2266]) ).
cnf(s145,plain,
( ~ spl191_257
| spl191_258 ),
inference(sat_conversion,[],[f2267]) ).
cnf(s147,plain,
( ~ spl191_259
| spl191_261 ),
inference(sat_conversion,[],[f2281]) ).
cnf(s149,plain,
( spl191_116
| ~ spl191_262 ),
inference(sat_conversion,[],[f2287]) ).
cnf(s151,plain,
( spl191_174
| ~ spl191_263 ),
inference(sat_conversion,[],[f2293]) ).
cnf(s152,plain,
( ~ spl191_223
| spl191_254
| ~ spl191_264 ),
inference(sat_conversion,[],[f2298]) ).
cnf(s154,plain,
( spl191_254
| ~ spl191_265
| ~ spl191_266 ),
inference(sat_conversion,[],[f2308]) ).
cnf(s155,plain,
( ~ spl191_265
| spl191_266 ),
inference(sat_conversion,[],[f2309]) ).
cnf(s157,plain,
( ~ spl191_267
| spl191_269 ),
inference(sat_conversion,[],[f2323]) ).
cnf(s158,plain,
( ~ spl191_131
| spl191_254
| ~ spl191_270 ),
inference(sat_conversion,[],[f2328]) ).
cnf(s161,plain,
( spl191_186
| ~ spl191_271 ),
inference(sat_conversion,[],[f2335]) ).
cnf(s163,plain,
( spl191_232
| ~ spl191_272 ),
inference(sat_conversion,[],[f2341]) ).
cnf(s164,plain,
( spl191_254
| ~ spl191_273
| ~ spl191_274 ),
inference(sat_conversion,[],[f2350]) ).
cnf(s165,plain,
( ~ spl191_273
| spl191_274 ),
inference(sat_conversion,[],[f2351]) ).
cnf(s167,plain,
( ~ spl191_275
| spl191_277 ),
inference(sat_conversion,[],[f2365]) ).
cnf(s169,plain,
( spl191_144
| ~ spl191_278 ),
inference(sat_conversion,[],[f2371]) ).
cnf(s171,plain,
( spl191_198
| ~ spl191_279 ),
inference(sat_conversion,[],[f2377]) ).
cnf(s173,plain,
( spl191_242
| ~ spl191_280 ),
inference(sat_conversion,[],[f2383]) ).
cnf(s174,plain,
( spl191_254
| ~ spl191_281
| ~ spl191_282 ),
inference(sat_conversion,[],[f2392]) ).
cnf(s175,plain,
( ~ spl191_281
| spl191_282 ),
inference(sat_conversion,[],[f2393]) ).
cnf(s176,plain,
( spl191_254
| ~ spl191_283
| ~ spl191_284 ),
inference(sat_conversion,[],[f2402]) ).
cnf(s179,plain,
( ~ spl191_286
| spl191_288 ),
inference(sat_conversion,[],[f2421]) ).
cnf(s181,plain,
( ~ spl191_289
| spl191_291 ),
inference(sat_conversion,[],[f2435]) ).
cnf(s255,plain,
( ~ spl191_90
| spl191_253
| spl191_254
| spl191_255
| spl191_256
| spl191_257
| spl191_259
| spl191_262
| spl191_263
| spl191_264
| spl191_265
| spl191_267
| spl191_270
| spl191_271
| spl191_272
| spl191_273
| spl191_275
| spl191_278
| spl191_279
| spl191_280
| spl191_281
| spl191_283
| spl191_286
| spl191_289
| spl191_324
| ~ spl191_328
| spl191_330 ),
inference(sat_conversion,[],[f2665]) ).
cnf(s270,plain,
( ~ spl191_1
| ~ spl191_150 ),
inference(sat_conversion,[],[f2684]) ).
cnf(s275,plain,
( ~ spl191_2
| ~ spl191_106 ),
inference(sat_conversion,[],[f2689]) ).
cnf(s279,plain,
( ~ spl191_3
| ~ spl191_138 ),
inference(sat_conversion,[],[f2693]) ).
cnf(s284,plain,
( ~ spl191_4
| ~ spl191_163 ),
inference(sat_conversion,[],[f2698]) ).
cnf(s286,plain,
( ~ spl191_5
| ~ spl191_99 ),
inference(sat_conversion,[],[f2700]) ).
cnf(s291,plain,
( ~ spl191_6
| ~ spl191_99 ),
inference(sat_conversion,[],[f2705]) ).
cnf(s298,plain,
( ~ spl191_7
| ~ spl191_130 ),
inference(sat_conversion,[],[f2712]) ).
cnf(s302,plain,
( ~ spl191_8
| ~ spl191_162 ),
inference(sat_conversion,[],[f2716]) ).
cnf(s307,plain,
( ~ spl191_9
| ~ spl191_119 ),
inference(sat_conversion,[],[f2721]) ).
cnf(s313,plain,
( ~ spl191_10
| ~ spl191_215 ),
inference(sat_conversion,[],[f2727]) ).
cnf(s317,plain,
( ~ spl191_11
| ~ spl191_111 ),
inference(sat_conversion,[],[f2731]) ).
cnf(s322,plain,
( ~ spl191_12
| ~ spl191_111 ),
inference(sat_conversion,[],[f2736]) ).
cnf(s330,plain,
( ~ spl191_13
| ~ spl191_205 ),
inference(sat_conversion,[],[f2744]) ).
cnf(s335,plain,
( ~ spl191_14
| ~ spl191_178 ),
inference(sat_conversion,[],[f2749]) ).
cnf(s339,plain,
( ~ spl191_15
| ~ spl191_195 ),
inference(sat_conversion,[],[f2753]) ).
cnf(s344,plain,
( ~ spl191_16
| ~ spl191_223 ),
inference(sat_conversion,[],[f2758]) ).
cnf(s346,plain,
( ~ spl191_17
| ~ spl191_162 ),
inference(sat_conversion,[],[f2760]) ).
cnf(s353,plain,
( ~ spl191_18
| ~ spl191_222 ),
inference(sat_conversion,[],[f2767]) ).
cnf(s358,plain,
( ~ spl191_19
| ~ spl191_189 ),
inference(sat_conversion,[],[f2772]) ).
cnf(s361,plain,
( ~ spl191_20
| ~ spl191_119 ),
inference(sat_conversion,[],[f2775]) ).
cnf(s369,plain,
( ~ spl191_21
| ~ spl191_142 ),
inference(sat_conversion,[],[f2783]) ).
cnf(s374,plain,
( ~ spl191_22
| ~ spl191_131 ),
inference(sat_conversion,[],[f2788]) ).
cnf(s378,plain,
( ~ spl191_23
| ~ spl191_184 ),
inference(sat_conversion,[],[f2792]) ).
cnf(s383,plain,
( ~ spl191_24
| ~ spl191_184 ),
inference(sat_conversion,[],[f2797]) ).
cnf(s390,plain,
( ~ spl191_25
| ~ spl191_323 ),
inference(sat_conversion,[],[f2804]) ).
cnf(s395,plain,
( ~ spl191_26
| ~ spl191_236 ),
inference(sat_conversion,[],[f2809]) ).
cnf(s397,plain,
( ~ spl191_27
| ~ spl191_222 ),
inference(sat_conversion,[],[f2811]) ).
cnf(s401,plain,
( ~ spl191_28
| ~ spl191_130 ),
inference(sat_conversion,[],[f2815]) ).
cnf(s406,plain,
( ~ spl191_29
| ~ spl191_215 ),
inference(sat_conversion,[],[f2820]) ).
cnf(s412,plain,
( ~ spl191_30
| ~ spl191_189 ),
inference(sat_conversion,[],[f2826]) ).
cnf(s418,plain,
( ~ spl191_31
| ~ spl191_131 ),
inference(sat_conversion,[],[f2832]) ).
cnf(s423,plain,
( ~ spl191_32
| ~ spl191_142 ),
inference(sat_conversion,[],[f2837]) ).
cnf(s426,plain,
( ~ spl191_33
| ~ spl191_163 ),
inference(sat_conversion,[],[f2840]) ).
cnf(s431,plain,
( ~ spl191_34
| ~ spl191_138 ),
inference(sat_conversion,[],[f2845]) ).
cnf(s437,plain,
( ~ spl191_35
| ~ spl191_223 ),
inference(sat_conversion,[],[f2851]) ).
cnf(s442,plain,
( ~ spl191_36
| ~ spl191_195 ),
inference(sat_conversion,[],[f2856]) ).
cnf(s450,plain,
( ~ spl191_37
| ~ spl191_328 ),
inference(sat_conversion,[],[f2864]) ).
cnf(s455,plain,
( ~ spl191_38
| ~ spl191_285 ),
inference(sat_conversion,[],[f2869]) ).
cnf(s459,plain,
( ~ spl191_39
| ~ spl191_284 ),
inference(sat_conversion,[],[f2873]) ).
cnf(s464,plain,
( ~ spl191_40
| ~ spl191_284 ),
inference(sat_conversion,[],[f2878]) ).
cnf(s466,plain,
( ~ spl191_41
| ~ spl191_106 ),
inference(sat_conversion,[],[f2880]) ).
cnf(s471,plain,
( ~ spl191_42
| ~ spl191_150 ),
inference(sat_conversion,[],[f2885]) ).
cnf(s477,plain,
( ~ spl191_43
| ~ spl191_178 ),
inference(sat_conversion,[],[f2891]) ).
cnf(s482,plain,
( ~ spl191_44
| ~ spl191_205 ),
inference(sat_conversion,[],[f2896]) ).
cnf(s488,plain,
( ~ spl191_45
| ~ spl191_236 ),
inference(sat_conversion,[],[f2902]) ).
cnf(s493,plain,
( ~ spl191_46
| ~ spl191_323 ),
inference(sat_conversion,[],[f2907]) ).
cnf(s499,plain,
( ~ spl191_47
| ~ spl191_285 ),
inference(sat_conversion,[],[f2913]) ).
cnf(s504,plain,
( ~ spl191_48
| ~ spl191_328 ),
inference(sat_conversion,[],[f2918]) ).
cnf(s510,plain,
( ~ spl191_49
| ~ spl191_331 ),
inference(sat_conversion,[],[f2924]) ).
cnf(s515,plain,
( ~ spl191_50
| ~ spl191_331 ),
inference(sat_conversion,[],[f2929]) ).
cnf(s520,plain,
( ~ spl191_51
| ~ spl191_293 ),
inference(sat_conversion,[],[f2934]) ).
cnf(s523,plain,
( ~ spl191_62
| ~ spl191_99 ),
inference(sat_conversion,[],[f2937]) ).
cnf(s529,plain,
( ~ spl191_63
| ~ spl191_162 ),
inference(sat_conversion,[],[f2943]) ).
cnf(s535,plain,
( ~ spl191_64
| ~ spl191_215 ),
inference(sat_conversion,[],[f2949]) ).
cnf(s537,plain,
( ~ spl191_65
| ~ spl191_163 ),
inference(sat_conversion,[],[f2951]) ).
cnf(s541,plain,
( ~ spl191_66
| ~ spl191_106 ),
inference(sat_conversion,[],[f2955]) ).
cnf(s550,plain,
( ~ spl191_67
| ~ spl191_119 ),
inference(sat_conversion,[],[f2964]) ).
cnf(s551,plain,
( ~ spl191_68
| ~ spl191_111 ),
inference(sat_conversion,[],[f2965]) ).
cnf(s559,plain,
( ~ spl191_69
| ~ spl191_222 ),
inference(sat_conversion,[],[f2973]) ).
cnf(s563,plain,
( ~ spl191_70
| ~ spl191_223 ),
inference(sat_conversion,[],[f2977]) ).
cnf(s567,plain,
( ~ spl191_71
| ~ spl191_178 ),
inference(sat_conversion,[],[f2981]) ).
cnf(s574,plain,
( ~ spl191_72
| ~ spl191_130 ),
inference(sat_conversion,[],[f2988]) ).
cnf(s580,plain,
( ~ spl191_73
| ~ spl191_189 ),
inference(sat_conversion,[],[f2994]) ).
cnf(s582,plain,
( ~ spl191_74
| ~ spl191_184 ),
inference(sat_conversion,[],[f2996]) ).
cnf(s586,plain,
( ~ spl191_75
| ~ spl191_131 ),
inference(sat_conversion,[],[f3000]) ).
cnf(s593,plain,
( ~ spl191_76
| ~ spl191_236 ),
inference(sat_conversion,[],[f3007]) ).
cnf(s597,plain,
( ~ spl191_77
| ~ spl191_138 ),
inference(sat_conversion,[],[f3011]) ).
cnf(s603,plain,
( ~ spl191_78
| ~ spl191_195 ),
inference(sat_conversion,[],[f3017]) ).
cnf(s606,plain,
( ~ spl191_79
| ~ spl191_142 ),
inference(sat_conversion,[],[f3020]) ).
cnf(s615,plain,
( ~ spl191_80
| ~ spl191_284 ),
inference(sat_conversion,[],[f3029]) ).
cnf(s619,plain,
( ~ spl191_81
| ~ spl191_285 ),
inference(sat_conversion,[],[f3033]) ).
cnf(s621,plain,
( ~ spl191_82
| ~ spl191_150 ),
inference(sat_conversion,[],[f3035]) ).
cnf(s627,plain,
( ~ spl191_83
| ~ spl191_205 ),
inference(sat_conversion,[],[f3041]) ).
cnf(s633,plain,
( ~ spl191_84
| ~ spl191_323 ),
inference(sat_conversion,[],[f3047]) ).
cnf(s639,plain,
( ~ spl191_85
| ~ spl191_328 ),
inference(sat_conversion,[],[f3053]) ).
cnf(s645,plain,
( ~ spl191_86
| ~ spl191_331 ),
inference(sat_conversion,[],[f3059]) ).
cnf(s646,plain,
spl191_99,
inference(sat_conversion,[],[f3060]) ).
cnf(s647,plain,
spl191_162,
inference(sat_conversion,[],[f3061]) ).
cnf(s648,plain,
spl191_215,
inference(sat_conversion,[],[f3062]) ).
cnf(s649,plain,
spl191_163,
inference(sat_conversion,[],[f3063]) ).
cnf(s650,plain,
spl191_106,
inference(sat_conversion,[],[f3064]) ).
cnf(s651,plain,
spl191_119,
inference(sat_conversion,[],[f3065]) ).
cnf(s652,plain,
spl191_111,
inference(sat_conversion,[],[f3066]) ).
cnf(s653,plain,
spl191_222,
inference(sat_conversion,[],[f3067]) ).
cnf(s654,plain,
spl191_223,
inference(sat_conversion,[],[f3068]) ).
cnf(s655,plain,
spl191_178,
inference(sat_conversion,[],[f3069]) ).
cnf(s656,plain,
spl191_130,
inference(sat_conversion,[],[f3070]) ).
cnf(s657,plain,
spl191_189,
inference(sat_conversion,[],[f3071]) ).
cnf(s658,plain,
spl191_184,
inference(sat_conversion,[],[f3072]) ).
cnf(s659,plain,
spl191_131,
inference(sat_conversion,[],[f3073]) ).
cnf(s660,plain,
spl191_236,
inference(sat_conversion,[],[f3074]) ).
cnf(s661,plain,
spl191_138,
inference(sat_conversion,[],[f3075]) ).
cnf(s662,plain,
spl191_195,
inference(sat_conversion,[],[f3076]) ).
cnf(s663,plain,
spl191_142,
inference(sat_conversion,[],[f3077]) ).
cnf(s664,plain,
spl191_284,
inference(sat_conversion,[],[f3078]) ).
cnf(s665,plain,
spl191_285,
inference(sat_conversion,[],[f3079]) ).
cnf(s666,plain,
spl191_150,
inference(sat_conversion,[],[f3080]) ).
cnf(s667,plain,
spl191_205,
inference(sat_conversion,[],[f3081]) ).
cnf(s668,plain,
spl191_323,
inference(sat_conversion,[],[f3082]) ).
cnf(s669,plain,
spl191_328,
inference(sat_conversion,[],[f3083]) ).
cnf(s670,plain,
spl191_331,
inference(sat_conversion,[],[f3084]) ).
cnf(s671,plain,
spl191_293,
inference(sat_conversion,[],[f3085]) ).
cnf(s672,plain,
( spl191_52
| ~ spl191_106
| ~ spl191_293 ),
inference(sat_conversion,[],[f3087]) ).
cnf(s674,plain,
( spl191_53
| ~ spl191_150
| ~ spl191_293 ),
inference(sat_conversion,[],[f3091]) ).
cnf(s676,plain,
( spl191_54
| ~ spl191_178
| ~ spl191_293 ),
inference(sat_conversion,[],[f3095]) ).
cnf(s678,plain,
( spl191_55
| ~ spl191_205
| ~ spl191_293 ),
inference(sat_conversion,[],[f3099]) ).
cnf(s680,plain,
( spl191_56
| ~ spl191_236
| ~ spl191_293 ),
inference(sat_conversion,[],[f3103]) ).
cnf(s682,plain,
( spl191_57
| ~ spl191_293
| ~ spl191_323 ),
inference(sat_conversion,[],[f3107]) ).
cnf(s684,plain,
( spl191_58
| ~ spl191_285
| ~ spl191_293 ),
inference(sat_conversion,[],[f3111]) ).
cnf(s686,plain,
( spl191_59
| ~ spl191_293
| ~ spl191_328 ),
inference(sat_conversion,[],[f3115]) ).
cnf(s688,plain,
( spl191_60
| ~ spl191_293
| ~ spl191_331 ),
inference(sat_conversion,[],[f3119]) ).
cnf(s690,plain,
( spl191_61
| ~ spl191_293
| ~ spl191_331 ),
inference(sat_conversion,[],[f3123]) ).
cnf(s699,plain,
( ~ spl191_99
| ~ spl191_102 ),
inference(sat_conversion,[],[f3154]) ).
cnf(s709,plain,
( ~ spl191_330
| ~ spl191_331 ),
inference(sat_conversion,[],[f3204]) ).
cnf(s710,plain,
( ~ spl191_254
| ~ spl191_293 ),
inference(sat_conversion,[],[f3208]) ).
cnf(s711,plain,
( ~ spl191_212
| ~ spl191_215 ),
inference(sat_conversion,[],[f3213]) ).
cnf(s713,plain,
( ~ spl191_106
| ~ spl191_261 ),
inference(sat_conversion,[],[f3221]) ).
cnf(s714,plain,
( ~ spl191_116
| ~ spl191_119 ),
inference(sat_conversion,[],[f3226]) ).
cnf(s716,plain,
( ~ spl191_111
| ~ spl191_174 ),
inference(sat_conversion,[],[f3233]) ).
cnf(s718,plain,
( ~ spl191_178
| ~ spl191_269 ),
inference(sat_conversion,[],[f3241]) ).
cnf(s719,plain,
( ~ spl191_186
| ~ spl191_189 ),
inference(sat_conversion,[],[f3246]) ).
cnf(s721,plain,
( ~ spl191_184
| ~ spl191_232 ),
inference(sat_conversion,[],[f3254]) ).
cnf(s723,plain,
( ~ spl191_236
| ~ spl191_277 ),
inference(sat_conversion,[],[f3262]) ).
cnf(s725,plain,
( ~ spl191_138
| ~ spl191_144 ),
inference(sat_conversion,[],[f3270]) ).
cnf(s727,plain,
( ~ spl191_195
| ~ spl191_198 ),
inference(sat_conversion,[],[f3278]) ).
cnf(s729,plain,
( ~ spl191_142
| ~ spl191_242 ),
inference(sat_conversion,[],[f3286]) ).
cnf(s731,plain,
( ~ spl191_150
| ~ spl191_288 ),
inference(sat_conversion,[],[f3294]) ).
cnf(s733,plain,
( ~ spl191_205
| ~ spl191_291 ),
inference(sat_conversion,[],[f3302]) ).
cnf(s735,plain,
( ~ spl191_323
| ~ spl191_324 ),
inference(sat_conversion,[],[f3309]) ).
cnf(s736,plain,
~ spl191_254,
inference(rat,[],[s710,s671]) ).
cnf(s739,plain,
~ spl191_330,
inference(rat,[],[s709,s670]) ).
cnf(s740,plain,
spl191_61,
inference(rat,[],[s690,s671,s670]) ).
cnf(s741,plain,
spl191_60,
inference(rat,[],[s688,s671,s670]) ).
cnf(s742,plain,
spl191_59,
inference(rat,[],[s686,s671,s669]) ).
cnf(s743,plain,
~ spl191_324,
inference(rat,[],[s735,s668]) ).
cnf(s744,plain,
spl191_57,
inference(rat,[],[s682,s671,s668]) ).
cnf(s745,plain,
~ spl191_291,
inference(rat,[],[s733,s667]) ).
cnf(s746,plain,
spl191_55,
inference(rat,[],[s678,s671,s667]) ).
cnf(s747,plain,
~ spl191_288,
inference(rat,[],[s731,s666]) ).
cnf(s748,plain,
spl191_53,
inference(rat,[],[s674,s671,s666]) ).
cnf(s749,plain,
spl191_58,
inference(rat,[],[s684,s671,s665]) ).
cnf(s750,plain,
~ spl191_242,
inference(rat,[],[s729,s663]) ).
cnf(s751,plain,
~ spl191_198,
inference(rat,[],[s727,s662]) ).
cnf(s752,plain,
~ spl191_144,
inference(rat,[],[s725,s661]) ).
cnf(s753,plain,
~ spl191_277,
inference(rat,[],[s723,s660]) ).
cnf(s754,plain,
spl191_56,
inference(rat,[],[s680,s671,s660]) ).
cnf(s755,plain,
~ spl191_232,
inference(rat,[],[s721,s658]) ).
cnf(s756,plain,
~ spl191_186,
inference(rat,[],[s719,s657]) ).
cnf(s757,plain,
~ spl191_269,
inference(rat,[],[s718,s655]) ).
cnf(s758,plain,
spl191_54,
inference(rat,[],[s676,s671,s655]) ).
cnf(s760,plain,
~ spl191_174,
inference(rat,[],[s716,s652]) ).
cnf(s761,plain,
~ spl191_116,
inference(rat,[],[s714,s651]) ).
cnf(s762,plain,
~ spl191_261,
inference(rat,[],[s713,s650]) ).
cnf(s764,plain,
spl191_52,
inference(rat,[],[s672,s671,s650]) ).
cnf(s765,plain,
~ spl191_212,
inference(rat,[],[s711,s648]) ).
cnf(s768,plain,
~ spl191_102,
inference(rat,[],[s699,s646]) ).
cnf(s770,plain,
~ spl191_86,
inference(rat,[],[s645,s670]) ).
cnf(s771,plain,
~ spl191_85,
inference(rat,[],[s639,s669]) ).
cnf(s772,plain,
~ spl191_84,
inference(rat,[],[s633,s668]) ).
cnf(s773,plain,
~ spl191_83,
inference(rat,[],[s627,s667]) ).
cnf(s774,plain,
~ spl191_82,
inference(rat,[],[s621,s666]) ).
cnf(s775,plain,
~ spl191_81,
inference(rat,[],[s619,s665]) ).
cnf(s776,plain,
~ spl191_80,
inference(rat,[],[s615,s664]) ).
cnf(s777,plain,
~ spl191_79,
inference(rat,[],[s606,s663]) ).
cnf(s778,plain,
~ spl191_78,
inference(rat,[],[s603,s662]) ).
cnf(s779,plain,
~ spl191_77,
inference(rat,[],[s597,s661]) ).
cnf(s780,plain,
~ spl191_76,
inference(rat,[],[s593,s660]) ).
cnf(s781,plain,
~ spl191_75,
inference(rat,[],[s586,s659]) ).
cnf(s782,plain,
~ spl191_74,
inference(rat,[],[s582,s658]) ).
cnf(s783,plain,
~ spl191_73,
inference(rat,[],[s580,s657]) ).
cnf(s784,plain,
~ spl191_72,
inference(rat,[],[s574,s656]) ).
cnf(s785,plain,
~ spl191_71,
inference(rat,[],[s567,s655]) ).
cnf(s786,plain,
~ spl191_70,
inference(rat,[],[s563,s654]) ).
cnf(s787,plain,
~ spl191_69,
inference(rat,[],[s559,s653]) ).
cnf(s788,plain,
~ spl191_68,
inference(rat,[],[s551,s652]) ).
cnf(s789,plain,
~ spl191_67,
inference(rat,[],[s550,s651]) ).
cnf(s790,plain,
~ spl191_66,
inference(rat,[],[s541,s650]) ).
cnf(s791,plain,
~ spl191_65,
inference(rat,[],[s537,s649]) ).
cnf(s792,plain,
~ spl191_64,
inference(rat,[],[s535,s648]) ).
cnf(s793,plain,
~ spl191_63,
inference(rat,[],[s529,s647]) ).
cnf(s794,plain,
~ spl191_62,
inference(rat,[],[s523,s646]) ).
cnf(s795,plain,
~ spl191_51,
inference(rat,[],[s520,s671]) ).
cnf(s796,plain,
~ spl191_50,
inference(rat,[],[s515,s670]) ).
cnf(s797,plain,
~ spl191_49,
inference(rat,[],[s510,s670]) ).
cnf(s798,plain,
~ spl191_48,
inference(rat,[],[s504,s669]) ).
cnf(s799,plain,
~ spl191_47,
inference(rat,[],[s499,s665]) ).
cnf(s800,plain,
~ spl191_46,
inference(rat,[],[s493,s668]) ).
cnf(s801,plain,
~ spl191_45,
inference(rat,[],[s488,s660]) ).
cnf(s802,plain,
~ spl191_44,
inference(rat,[],[s482,s667]) ).
cnf(s803,plain,
~ spl191_43,
inference(rat,[],[s477,s655]) ).
cnf(s804,plain,
~ spl191_42,
inference(rat,[],[s471,s666]) ).
cnf(s805,plain,
~ spl191_41,
inference(rat,[],[s466,s650]) ).
cnf(s806,plain,
~ spl191_40,
inference(rat,[],[s464,s664]) ).
cnf(s807,plain,
~ spl191_39,
inference(rat,[],[s459,s664]) ).
cnf(s808,plain,
~ spl191_38,
inference(rat,[],[s455,s665]) ).
cnf(s809,plain,
~ spl191_37,
inference(rat,[],[s450,s669]) ).
cnf(s810,plain,
~ spl191_36,
inference(rat,[],[s442,s662]) ).
cnf(s811,plain,
~ spl191_35,
inference(rat,[],[s437,s654]) ).
cnf(s812,plain,
~ spl191_34,
inference(rat,[],[s431,s661]) ).
cnf(s813,plain,
~ spl191_33,
inference(rat,[],[s426,s649]) ).
cnf(s814,plain,
~ spl191_32,
inference(rat,[],[s423,s663]) ).
cnf(s815,plain,
~ spl191_31,
inference(rat,[],[s418,s659]) ).
cnf(s816,plain,
~ spl191_30,
inference(rat,[],[s412,s657]) ).
cnf(s817,plain,
~ spl191_29,
inference(rat,[],[s406,s648]) ).
cnf(s818,plain,
~ spl191_28,
inference(rat,[],[s401,s656]) ).
cnf(s819,plain,
~ spl191_27,
inference(rat,[],[s397,s653]) ).
cnf(s820,plain,
~ spl191_26,
inference(rat,[],[s395,s660]) ).
cnf(s821,plain,
~ spl191_25,
inference(rat,[],[s390,s668]) ).
cnf(s822,plain,
~ spl191_24,
inference(rat,[],[s383,s658]) ).
cnf(s823,plain,
~ spl191_23,
inference(rat,[],[s378,s658]) ).
cnf(s824,plain,
~ spl191_22,
inference(rat,[],[s374,s659]) ).
cnf(s825,plain,
~ spl191_21,
inference(rat,[],[s369,s663]) ).
cnf(s826,plain,
~ spl191_20,
inference(rat,[],[s361,s651]) ).
cnf(s827,plain,
~ spl191_19,
inference(rat,[],[s358,s657]) ).
cnf(s828,plain,
~ spl191_18,
inference(rat,[],[s353,s653]) ).
cnf(s829,plain,
~ spl191_17,
inference(rat,[],[s346,s647]) ).
cnf(s830,plain,
~ spl191_16,
inference(rat,[],[s344,s654]) ).
cnf(s831,plain,
~ spl191_15,
inference(rat,[],[s339,s662]) ).
cnf(s832,plain,
~ spl191_14,
inference(rat,[],[s335,s655]) ).
cnf(s833,plain,
~ spl191_13,
inference(rat,[],[s330,s667]) ).
cnf(s834,plain,
~ spl191_12,
inference(rat,[],[s322,s652]) ).
cnf(s835,plain,
~ spl191_11,
inference(rat,[],[s317,s652]) ).
cnf(s836,plain,
~ spl191_10,
inference(rat,[],[s313,s648]) ).
cnf(s837,plain,
~ spl191_9,
inference(rat,[],[s307,s651]) ).
cnf(s838,plain,
~ spl191_8,
inference(rat,[],[s302,s647]) ).
cnf(s839,plain,
~ spl191_7,
inference(rat,[],[s298,s656]) ).
cnf(s840,plain,
~ spl191_6,
inference(rat,[],[s291,s646]) ).
cnf(s841,plain,
~ spl191_5,
inference(rat,[],[s286,s646]) ).
cnf(s842,plain,
~ spl191_4,
inference(rat,[],[s284,s649]) ).
cnf(s843,plain,
~ spl191_3,
inference(rat,[],[s279,s661]) ).
cnf(s844,plain,
~ spl191_2,
inference(rat,[],[s275,s650]) ).
cnf(s845,plain,
~ spl191_1,
inference(rat,[],[s270,s666]) ).
cnf(s846,plain,
( ~ spl191_90
| spl191_253
| spl191_255
| spl191_256
| spl191_257
| spl191_259
| spl191_262
| spl191_263
| spl191_264
| spl191_265
| spl191_267
| spl191_270
| spl191_271
| spl191_272
| spl191_273
| spl191_275
| spl191_278
| spl191_279
| spl191_280
| spl191_281
| spl191_283
| spl191_286
| spl191_289 ),
inference(rat,[],[s255,s739,s669,s743,s736]) ).
cnf(s858,plain,
~ spl191_289,
inference(rat,[],[s181,s745]) ).
cnf(s859,plain,
~ spl191_286,
inference(rat,[],[s179,s747]) ).
cnf(s860,plain,
~ spl191_283,
inference(rat,[],[s176,s664,s736]) ).
cnf(s861,plain,
( ~ spl191_281
| ~ spl191_282 ),
inference(rat,[],[s174,s736]) ).
cnf(s862,plain,
~ spl191_280,
inference(rat,[],[s173,s750]) ).
cnf(s863,plain,
~ spl191_279,
inference(rat,[],[s171,s751]) ).
cnf(s864,plain,
~ spl191_278,
inference(rat,[],[s169,s752]) ).
cnf(s865,plain,
~ spl191_275,
inference(rat,[],[s167,s753]) ).
cnf(s866,plain,
( ~ spl191_273
| ~ spl191_274 ),
inference(rat,[],[s164,s736]) ).
cnf(s867,plain,
~ spl191_272,
inference(rat,[],[s163,s755]) ).
cnf(s868,plain,
~ spl191_271,
inference(rat,[],[s161,s756]) ).
cnf(s869,plain,
~ spl191_270,
inference(rat,[],[s158,s736,s659]) ).
cnf(s870,plain,
~ spl191_267,
inference(rat,[],[s157,s757]) ).
cnf(s871,plain,
( ~ spl191_265
| ~ spl191_266 ),
inference(rat,[],[s154,s736]) ).
cnf(s872,plain,
~ spl191_264,
inference(rat,[],[s152,s736,s654]) ).
cnf(s873,plain,
~ spl191_263,
inference(rat,[],[s151,s760]) ).
cnf(s874,plain,
~ spl191_262,
inference(rat,[],[s149,s761]) ).
cnf(s875,plain,
~ spl191_259,
inference(rat,[],[s147,s762]) ).
cnf(s876,plain,
( ~ spl191_257
| ~ spl191_258 ),
inference(rat,[],[s144,s736]) ).
cnf(s877,plain,
~ spl191_256,
inference(rat,[],[s143,s765]) ).
cnf(s878,plain,
~ spl191_255,
inference(rat,[],[s140,s736,s649]) ).
cnf(s879,plain,
~ spl191_253,
inference(rat,[],[s139,s768]) ).
cnf(s924,plain,
spl191_90,
inference(rat,[],[s4,s770,s771,s772,s773,s774,s775,s776,s777,s778,s779,s780,s781,s782,s783,s784,s785,s786,s787,s788,s789,s790,s791,s792,s793,s794,s740,s741,s742,s749,s744,s754,s746,s758,s748,s764,s795,s796,s797,s798,s799,s800,s801,s802,s803,s804,s805,s806,s807,s808,s809,s810,s811,s812,s813,s814,s815,s816,s817,s818,s819,s820,s821,s822,s823,s824,s825,s826,s827,s828,s829,s830,s831,s832,s833,s834,s835,s836,s837,s838,s839,s840,s841,s842,s843,s844,s845]) ).
cnf(s928,plain,
~ spl191_281,
inference(rat,[],[s861,s175]) ).
cnf(s929,plain,
~ spl191_273,
inference(rat,[],[s866,s165]) ).
cnf(s930,plain,
~ spl191_265,
inference(rat,[],[s871,s155]) ).
cnf(s931,plain,
spl191_257,
inference(rat,[],[s846,s858,s859,s860,s928,s862,s863,s864,s865,s929,s867,s868,s869,s870,s924,s872,s873,s874,s875,s879,s877,s878,s930]) ).
cnf(s932,plain,
spl191_258,
inference(rat,[],[s145,s931]) ).
cnf(s933,plain,
$false,
inference(rat,[],[s876,s932,s931]) ).
fof(f3310,plain,
$false,
inference(avatar_sat_refutation,[],[s933]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG093+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n007.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 19:24:25 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.68/1.16 % (2731487)Detected formulas, will run a generic FOF schedule.
% 3.68/1.16 % (2731498)dis-21_1_sil=8000:lcm=predicate:random_seed=2197228984:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.68/1.16 % (2731498)Refutation not found, incomplete strategy
% 3.68/1.16 % (2731498)------------------------------
% 3.68/1.16 % (2731498)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.68/1.16 % (2731498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/1.16 % (2731498)CaDiCaL version: 2.1.3
% 3.68/1.16 % (2731498)Termination reason: Refutation not found, incomplete strategy
% 3.68/1.16 % (2731498)Time elapsed: 0.012 s
% 3.68/1.16 % (2731498)Peak memory usage: 90 MB
% 3.68/1.16 % (2731498)Instructions burned: 41 (million)
% 3.68/1.16 % (2731496)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1602610128:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.68/1.16 % (2731492)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=274628231:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.68/1.16 % (2731497)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3427334113:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.68/1.16 % (2731494)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=892591562:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.68/1.16 % (2731493)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1941893564:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.68/1.16 % (2731495)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=733076133:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.68/1.16 % (2731497)First to succeed.
% 3.68/1.16 % (2731496)Also succeeded, but the first one will report.
% 3.68/1.16 % (2731497)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2731487"
% 3.68/1.16 % (2731495)Instruction limit reached!
% 3.68/1.16 % (2731495)------------------------------
% 3.68/1.16 % (2731495)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.68/1.16 % (2731495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/1.16 % (2731495)CaDiCaL version: 2.1.3
% 3.68/1.16 % (2731495)Termination reason: Instruction limit
% 3.68/1.16 % (2731495)Termination phase: Saturation
% 3.68/1.16 % (2731495)Time elapsed: 0.051 s
% 3.68/1.16 % (2731495)Peak memory usage: 90 MB
% 3.68/1.16 % (2731495)Instructions burned: 110 (million)
% 3.68/1.16 % (2731498)------------------------------
% 3.68/1.16 % (2731498)------------------------------
% 3.68/1.16 % (2731506)lrs+10_1_sil=8000:sp=occurrence:random_seed=230669033:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.68/1.16 % (2731507)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1533317898:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.68/1.16 % (2731506)Also succeeded, but the first one will report.
% 3.68/1.16 % (2731507)Also succeeded, but the first one will report.
% 3.68/1.16 % (2731497)Refutation found. Thanks to Tanya!
% 3.68/1.16 % SZS status Theorem for theBenchmark
% 3.68/1.16 % SZS output start Proof for theBenchmark
% See solution above
% 4.06/1.37 % (2731497)------------------------------
% 4.06/1.37 % (2731497)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.06/1.37 % (2731497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.06/1.37 % (2731497)CaDiCaL version: 2.1.3
% 4.06/1.37 % (2731497)Termination reason: Refutation
% 4.06/1.37 % (2731497)Time elapsed: 0.046 s
% 4.06/1.37 % (2731497)Peak memory usage: 91 MB
% 4.06/1.37 % (2731497)Instructions burned: 93 (million)
% 4.06/1.37 % (2731497)------------------------------
% 4.06/1.37 % (2731497)------------------------------
% 4.06/1.37 % (2731487)Success in time 0.489 s
% 4.06/1.37 % Vampire exiting
%------------------------------------------------------------------------------