%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ALG093+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n017.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 09:21:28 AM UTC 2026
% Result : Theorem 0.09s 0.29s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 343
% Syntax : Number of formulae : 1190 ( 223 unt; 339 def)
% Number of atoms : 6385 (3973 equ)
% Maximal formula atoms : 765 ( 5 avg)
% Number of connectives : 8572 (3377 ~;3157 |;1890 &)
% ( 148 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 119 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 341 ( 339 usr; 340 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/sandbox/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/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f3,axiom,
unit = e0,
file('/export/starexec/sandbox/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/sandbox/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(f396,plain,
e0 != e4,
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(f1071,plain,
e1 != unit,
inference(definition_unfolding,[],[f399,f425]) ).
fof(f1074,plain,
e4 != unit,
inference(definition_unfolding,[],[f396,f425]) ).
fof(f1075,plain,
unit = op(unit,unit),
inference(definition_unfolding,[],[f424,f425,f425,f425]) ).
fof(f1076,plain,
e1 = op(unit,e1),
inference(definition_unfolding,[],[f423,f425]) ).
fof(f1077,plain,
e2 = op(unit,e2),
inference(definition_unfolding,[],[f422,f425]) ).
fof(f1078,plain,
e3 = op(unit,e3),
inference(definition_unfolding,[],[f421,f425]) ).
fof(f1079,plain,
e4 = op(unit,e4),
inference(definition_unfolding,[],[f420,f425]) ).
fof(f1080,plain,
e1 = op(e1,unit),
inference(definition_unfolding,[],[f419,f425]) ).
fof(f1081,plain,
op(e1,e1) = unit,
inference(definition_unfolding,[],[f418,f425]) ).
fof(f1082,plain,
e2 = op(e2,unit),
inference(definition_unfolding,[],[f414,f425]) ).
fof(f1083,plain,
op(e2,e3) = unit,
inference(definition_unfolding,[],[f411,f425]) ).
fof(f1084,plain,
e3 = op(e3,unit),
inference(definition_unfolding,[],[f409,f425]) ).
fof(f1085,plain,
op(e3,e4) = unit,
inference(definition_unfolding,[],[f405,f425]) ).
fof(f1086,plain,
e4 = op(e4,unit),
inference(definition_unfolding,[],[f404,f425]) ).
fof(f1087,plain,
op(e4,e2) = unit,
inference(definition_unfolding,[],[f402,f425]) ).
fof(f1088,plain,
( unit != op(unit,unit)
| ~ sP190 ),
inference(definition_unfolding,[],[f430,f425,f425,f425]) ).
fof(f1094,plain,
( e1 != op(unit,e1)
| ~ sP189 ),
inference(definition_unfolding,[],[f434,f425]) ).
fof(f1100,plain,
( e2 != op(unit,e2)
| ~ sP188 ),
inference(definition_unfolding,[],[f438,f425]) ).
fof(f1106,plain,
( e3 != op(unit,e3)
| ~ sP187 ),
inference(definition_unfolding,[],[f442,f425]) ).
fof(f1112,plain,
( e4 != op(unit,e4)
| ~ sP186 ),
inference(definition_unfolding,[],[f446,f425]) ).
fof(f1114,plain,
( e1 != op(e1,unit)
| ~ sP185 ),
inference(definition_unfolding,[],[f454,f425]) ).
fof(f1118,plain,
( op(e1,e1) != unit
| ~ sP184 ),
inference(definition_unfolding,[],[f460,f425]) ).
fof(f1124,plain,
( e2 != op(e2,unit)
| ~ sP180 ),
inference(definition_unfolding,[],[f478,f425]) ).
fof(f1129,plain,
( op(e2,e3) != unit
| ~ sP177 ),
inference(definition_unfolding,[],[f495,f425]) ).
fof(f1134,plain,
( e3 != op(e3,unit)
| ~ sP175 ),
inference(definition_unfolding,[],[f502,f425]) ).
fof(f1139,plain,
( op(e3,e4) != unit
| ~ sP171 ),
inference(definition_unfolding,[],[f525,f425]) ).
fof(f1144,plain,
( e4 != op(e4,unit)
| ~ sP170 ),
inference(definition_unfolding,[],[f526,f425]) ).
fof(f1146,plain,
( op(e4,e2) != unit
| ~ sP168 ),
inference(definition_unfolding,[],[f540,f425]) ).
fof(f1149,plain,
( unit != unit
| ~ sP165 ),
inference(definition_unfolding,[],[f555,f425]) ).
fof(f1150,plain,
( unit != op(unit,unit)
| ~ sP164 ),
inference(definition_unfolding,[],[f560,f425,f425,f425]) ).
fof(f1155,plain,
( unit != op(unit,unit)
| ~ sP163 ),
inference(definition_unfolding,[],[f565,f425,f425,f425]) ).
fof(f1161,plain,
( e1 != op(unit,e1)
| ~ sP162 ),
inference(definition_unfolding,[],[f569,f425]) ).
fof(f1166,plain,
( e1 != op(e1,unit)
| ~ sP161 ),
inference(definition_unfolding,[],[f574,f425]) ).
fof(f1172,plain,
( e2 != op(unit,e2)
| ~ sP160 ),
inference(definition_unfolding,[],[f578,f425]) ).
fof(f1177,plain,
( e2 != op(e2,unit)
| ~ sP159 ),
inference(definition_unfolding,[],[f583,f425]) ).
fof(f1183,plain,
( e3 != op(unit,e3)
| ~ sP158 ),
inference(definition_unfolding,[],[f587,f425]) ).
fof(f1188,plain,
( e3 != op(e3,unit)
| ~ sP157 ),
inference(definition_unfolding,[],[f592,f425]) ).
fof(f1194,plain,
( e4 != op(unit,e4)
| ~ sP156 ),
inference(definition_unfolding,[],[f596,f425]) ).
fof(f1199,plain,
( e4 != op(e4,unit)
| ~ sP155 ),
inference(definition_unfolding,[],[f601,f425]) ).
fof(f1201,plain,
( op(e1,e1) != unit
| ~ sP154 ),
inference(definition_unfolding,[],[f609,f425]) ).
fof(f1206,plain,
( op(e1,e1) != unit
| ~ sP153 ),
inference(definition_unfolding,[],[f614,f425]) ).
fof(f1210,plain,
( e1 != op(e1,unit)
| ~ sP152 ),
inference(definition_unfolding,[],[f620,f425]) ).
fof(f1211,plain,
( e1 != op(unit,e1)
| ~ sP151 ),
inference(definition_unfolding,[],[f625,f425]) ).
fof(f1221,plain,
( op(e2,e3) != unit
| ~ sP144 ),
inference(definition_unfolding,[],[f657,f425]) ).
fof(f1227,plain,
( op(e4,e2) != unit
| ~ sP143 ),
inference(definition_unfolding,[],[f661,f425]) ).
fof(f1230,plain,
( e2 != op(e2,unit)
| ~ sP140 ),
inference(definition_unfolding,[],[f680,f425]) ).
fof(f1231,plain,
( e2 != op(unit,e2)
| ~ sP139 ),
inference(definition_unfolding,[],[f685,f425]) ).
fof(f1240,plain,
( op(e3,e4) != unit
| ~ sP134 ),
inference(definition_unfolding,[],[f706,f425]) ).
fof(f1243,plain,
( op(e2,e3) != unit
| ~ sP133 ),
inference(definition_unfolding,[],[f713,f425]) ).
fof(f1250,plain,
( e3 != op(e3,unit)
| ~ sP128 ),
inference(definition_unfolding,[],[f740,f425]) ).
fof(f1251,plain,
( e3 != op(unit,e3)
| ~ sP127 ),
inference(definition_unfolding,[],[f745,f425]) ).
fof(f1256,plain,
( op(e4,e2) != unit
| ~ sP124 ),
inference(definition_unfolding,[],[f758,f425]) ).
fof(f1262,plain,
( op(e3,e4) != unit
| ~ sP123 ),
inference(definition_unfolding,[],[f762,f425]) ).
fof(f1270,plain,
( e4 != op(e4,unit)
| ~ sP116 ),
inference(definition_unfolding,[],[f800,f425]) ).
fof(f1271,plain,
( e4 != op(unit,e4)
| ~ sP115 ),
inference(definition_unfolding,[],[f805,f425]) ).
fof(f1282,plain,
( e1 = op(unit,unit)
| e1 != op(unit,e1)
| e1 = unit
| e1 = op(unit,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(definition_unfolding,[],[f819,f425,f425,f425,f425]) ).
fof(f1356,plain,
( e1 = op(unit,e3)
| ~ sP87 ),
inference(definition_unfolding,[],[f891,f425]) ).
fof(f1358,plain,
( e1 = op(unit,e4)
| ~ sP86 ),
inference(definition_unfolding,[],[f893,f425]) ).
fof(f1361,plain,
( op(e1,e1) != unit
| e1 = unit
| ~ sP85 ),
inference(definition_unfolding,[],[f894,f425]) ).
fof(f1362,plain,
( e1 = op(e2,unit)
| ~ sP80 ),
inference(definition_unfolding,[],[f905,f425]) ).
fof(f1364,plain,
( e1 = op(e3,unit)
| ~ sP75 ),
inference(definition_unfolding,[],[f915,f425]) ).
fof(f1366,plain,
( e1 = op(e4,unit)
| ~ sP70 ),
inference(definition_unfolding,[],[f925,f425]) ).
fof(f1405,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
| unit != op(unit,unit)
| unit != op(unit,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_unfolding,[],[f1069,f425,f425,f425,f425]) ).
fof(f1411,plain,
( e2 != op(unit,e2)
| sP188 ),
inference(consistent_polarity_flipping,[],[f1100]) ).
fof(f1418,plain,
( e4 != op(unit,e4)
| sP186 ),
inference(consistent_polarity_flipping,[],[f1112]) ).
fof(f1423,plain,
( e4 != op(e1,e2)
| sP183 ),
inference(consistent_polarity_flipping,[],[f461]) ).
fof(f1426,plain,
( e2 != op(e1,e3)
| sP182 ),
inference(consistent_polarity_flipping,[],[f468]) ).
fof(f1429,plain,
( op(e2,e3) != unit
| sP177 ),
inference(consistent_polarity_flipping,[],[f1129]) ).
fof(f1435,plain,
( e1 != op(e2,e4)
| sP176 ),
inference(consistent_polarity_flipping,[],[f499]) ).
fof(f1442,plain,
( e3 != op(e3,unit)
| sP175 ),
inference(consistent_polarity_flipping,[],[f1134]) ).
fof(f1446,plain,
( e2 != op(e3,e1)
| sP174 ),
inference(consistent_polarity_flipping,[],[f508]) ).
fof(f1449,plain,
( op(e3,e4) != unit
| sP171 ),
inference(consistent_polarity_flipping,[],[f1139]) ).
fof(f1455,plain,
( e1 != op(e4,e3)
| sP167 ),
inference(consistent_polarity_flipping,[],[f544]) ).
fof(f1461,plain,
( e2 != op(e4,e4)
| sP166 ),
inference(consistent_polarity_flipping,[],[f548]) ).
fof(f1464,plain,
( unit != unit
| sP165 ),
inference(consistent_polarity_flipping,[],[f1149]) ).
fof(f1470,plain,
( e1 != op(e1,unit)
| sP161 ),
inference(consistent_polarity_flipping,[],[f1166]) ).
fof(f1476,plain,
( e2 != op(e2,unit)
| sP159 ),
inference(consistent_polarity_flipping,[],[f1177]) ).
fof(f1482,plain,
( e3 != op(unit,e3)
| sP158 ),
inference(consistent_polarity_flipping,[],[f1183]) ).
fof(f1485,plain,
( op(e1,e1) != unit
| sP154 ),
inference(consistent_polarity_flipping,[],[f1201]) ).
fof(f1490,plain,
( op(e1,e1) != unit
| sP153 ),
inference(consistent_polarity_flipping,[],[f1206]) ).
fof(f1497,plain,
( e2 != op(e1,e3)
| sP150 ),
inference(consistent_polarity_flipping,[],[f627]) ).
fof(f1502,plain,
( e2 != op(e3,e1)
| sP149 ),
inference(consistent_polarity_flipping,[],[f632]) ).
fof(f1508,plain,
( e3 != op(e4,e1)
| sP147 ),
inference(consistent_polarity_flipping,[],[f641]) ).
fof(f1511,plain,
( e4 != op(e1,e2)
| sP146 ),
inference(consistent_polarity_flipping,[],[f648]) ).
fof(f1516,plain,
( e4 != op(e2,e1)
| sP145 ),
inference(consistent_polarity_flipping,[],[f653]) ).
fof(f1522,plain,
( op(e2,e3) != unit
| sP144 ),
inference(consistent_polarity_flipping,[],[f1221]) ).
fof(f1528,plain,
( e1 != op(e2,e4)
| sP142 ),
inference(consistent_polarity_flipping,[],[f666]) ).
fof(f1532,plain,
( e1 != op(e3,e2)
| sP141 ),
inference(consistent_polarity_flipping,[],[f672]) ).
fof(f1534,plain,
( e2 != op(e2,unit)
| sP140 ),
inference(consistent_polarity_flipping,[],[f1230]) ).
fof(f1541,plain,
( e3 != op(e2,e2)
| sP138 ),
inference(consistent_polarity_flipping,[],[f688]) ).
fof(f1545,plain,
( e4 != op(e2,e1)
| sP136 ),
inference(consistent_polarity_flipping,[],[f699]) ).
fof(f1553,plain,
( op(e3,e4) != unit
| sP134 ),
inference(consistent_polarity_flipping,[],[f1240]) ).
fof(f1558,plain,
( e1 != op(e4,e3)
| sP131 ),
inference(consistent_polarity_flipping,[],[f721]) ).
fof(f1559,plain,
( e3 != op(e3,unit)
| sP128 ),
inference(consistent_polarity_flipping,[],[f1250]) ).
fof(f1567,plain,
( e4 != op(e3,e3)
| sP126 ),
inference(consistent_polarity_flipping,[],[f747]) ).
fof(f1572,plain,
( e4 != op(e3,e3)
| sP125 ),
inference(consistent_polarity_flipping,[],[f752]) ).
fof(f1576,plain,
( op(e4,e2) != unit
| sP124 ),
inference(consistent_polarity_flipping,[],[f1256]) ).
fof(f1582,plain,
( op(e3,e4) != unit
| sP123 ),
inference(consistent_polarity_flipping,[],[f1262]) ).
fof(f1586,plain,
( e1 != op(e2,e4)
| sP121 ),
inference(consistent_polarity_flipping,[],[f773]) ).
fof(f1590,plain,
( e3 != op(e4,e1)
| sP118 ),
inference(consistent_polarity_flipping,[],[f789]) ).
fof(f1595,plain,
( e3 != op(e1,e4)
| sP117 ),
inference(consistent_polarity_flipping,[],[f794]) ).
fof(f1609,plain,
( e1 = op(unit,unit)
| e1 != op(unit,e1)
| e1 = unit
| e1 = op(unit,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(consistent_polarity_flipping,[],[f1282]) ).
fof(f1659,plain,
( e1 = op(unit,e3)
| sP87 ),
inference(consistent_polarity_flipping,[],[f1356]) ).
fof(f1662,plain,
( op(e1,e1) != unit
| e1 = unit
| sP85 ),
inference(consistent_polarity_flipping,[],[f1361]) ).
fof(f1663,plain,
( e1 = op(e1,e4)
| sP81 ),
inference(consistent_polarity_flipping,[],[f903]) ).
fof(f1665,plain,
( e1 = op(e2,e3)
| sP77 ),
inference(consistent_polarity_flipping,[],[f911]) ).
fof(f1667,plain,
( e1 = op(e3,unit)
| sP75 ),
inference(consistent_polarity_flipping,[],[f1364]) ).
fof(f1670,plain,
( e2 != op(e3,e1)
| e1 = unit
| sP73 ),
inference(consistent_polarity_flipping,[],[f918]) ).
fof(f1671,plain,
( e1 = op(e4,e1)
| sP69 ),
inference(consistent_polarity_flipping,[],[f927]) ).
fof(f1672,plain,
( e1 != op(e4,e1)
| e1 = unit
| sP69 ),
inference(consistent_polarity_flipping,[],[f926]) ).
fof(f1726,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
| unit != op(unit,unit)
| unit != op(unit,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(consistent_polarity_flipping,[],[f1405]) ).
fof(f1733,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
| unit != op(unit,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(duplicate_literal_removal,[],[f1726]) ).
fof(f1755,plain,
sP165,
inference(trivial_inequality_removal,[],[f1464]) ).
fof(f1757,definition,
( spl191_1
<=> sP115 ),
introduced(definition,[new_symbols(definition,[spl191_1])],[avatar_definition]) ).
fof(f1761,definition,
( spl191_2
<=> sP116 ),
introduced(definition,[new_symbols(definition,[spl191_2])],[avatar_definition]) ).
fof(f1765,definition,
( spl191_3
<=> sP117 ),
introduced(definition,[new_symbols(definition,[spl191_3])],[avatar_definition]) ).
fof(f1769,definition,
( spl191_4
<=> sP118 ),
introduced(definition,[new_symbols(definition,[spl191_4])],[avatar_definition]) ).
fof(f1773,definition,
( spl191_5
<=> sP119 ),
introduced(definition,[new_symbols(definition,[spl191_5])],[avatar_definition]) ).
fof(f1777,definition,
( spl191_6
<=> sP120 ),
introduced(definition,[new_symbols(definition,[spl191_6])],[avatar_definition]) ).
fof(f1781,definition,
( spl191_7
<=> sP121 ),
introduced(definition,[new_symbols(definition,[spl191_7])],[avatar_definition]) ).
fof(f1785,definition,
( spl191_8
<=> sP122 ),
introduced(definition,[new_symbols(definition,[spl191_8])],[avatar_definition]) ).
fof(f1789,definition,
( spl191_9
<=> sP123 ),
introduced(definition,[new_symbols(definition,[spl191_9])],[avatar_definition]) ).
fof(f1793,definition,
( spl191_10
<=> sP124 ),
introduced(definition,[new_symbols(definition,[spl191_10])],[avatar_definition]) ).
fof(f1797,definition,
( spl191_11
<=> sP125 ),
introduced(definition,[new_symbols(definition,[spl191_11])],[avatar_definition]) ).
fof(f1801,definition,
( spl191_12
<=> sP126 ),
introduced(definition,[new_symbols(definition,[spl191_12])],[avatar_definition]) ).
fof(f1805,definition,
( spl191_13
<=> sP127 ),
introduced(definition,[new_symbols(definition,[spl191_13])],[avatar_definition]) ).
fof(f1809,definition,
( spl191_14
<=> sP128 ),
introduced(definition,[new_symbols(definition,[spl191_14])],[avatar_definition]) ).
fof(f1813,definition,
( spl191_15
<=> sP129 ),
introduced(definition,[new_symbols(definition,[spl191_15])],[avatar_definition]) ).
fof(f1817,definition,
( spl191_16
<=> sP130 ),
introduced(definition,[new_symbols(definition,[spl191_16])],[avatar_definition]) ).
fof(f1821,definition,
( spl191_17
<=> sP131 ),
introduced(definition,[new_symbols(definition,[spl191_17])],[avatar_definition]) ).
fof(f1825,definition,
( spl191_18
<=> sP132 ),
introduced(definition,[new_symbols(definition,[spl191_18])],[avatar_definition]) ).
fof(f1829,definition,
( spl191_19
<=> sP133 ),
introduced(definition,[new_symbols(definition,[spl191_19])],[avatar_definition]) ).
fof(f1833,definition,
( spl191_20
<=> sP134 ),
introduced(definition,[new_symbols(definition,[spl191_20])],[avatar_definition]) ).
fof(f1837,definition,
( spl191_21
<=> sP135 ),
introduced(definition,[new_symbols(definition,[spl191_21])],[avatar_definition]) ).
fof(f1841,definition,
( spl191_22
<=> sP136 ),
introduced(definition,[new_symbols(definition,[spl191_22])],[avatar_definition]) ).
fof(f1845,definition,
( spl191_23
<=> sP137 ),
introduced(definition,[new_symbols(definition,[spl191_23])],[avatar_definition]) ).
fof(f1849,definition,
( spl191_24
<=> sP138 ),
introduced(definition,[new_symbols(definition,[spl191_24])],[avatar_definition]) ).
fof(f1853,definition,
( spl191_25
<=> sP139 ),
introduced(definition,[new_symbols(definition,[spl191_25])],[avatar_definition]) ).
fof(f1857,definition,
( spl191_26
<=> sP140 ),
introduced(definition,[new_symbols(definition,[spl191_26])],[avatar_definition]) ).
fof(f1861,definition,
( spl191_27
<=> sP141 ),
introduced(definition,[new_symbols(definition,[spl191_27])],[avatar_definition]) ).
fof(f1865,definition,
( spl191_28
<=> sP142 ),
introduced(definition,[new_symbols(definition,[spl191_28])],[avatar_definition]) ).
fof(f1869,definition,
( spl191_29
<=> sP143 ),
introduced(definition,[new_symbols(definition,[spl191_29])],[avatar_definition]) ).
fof(f1873,definition,
( spl191_30
<=> sP144 ),
introduced(definition,[new_symbols(definition,[spl191_30])],[avatar_definition]) ).
fof(f1877,definition,
( spl191_31
<=> sP145 ),
introduced(definition,[new_symbols(definition,[spl191_31])],[avatar_definition]) ).
fof(f1881,definition,
( spl191_32
<=> sP146 ),
introduced(definition,[new_symbols(definition,[spl191_32])],[avatar_definition]) ).
fof(f1885,definition,
( spl191_33
<=> sP147 ),
introduced(definition,[new_symbols(definition,[spl191_33])],[avatar_definition]) ).
fof(f1889,definition,
( spl191_34
<=> sP148 ),
introduced(definition,[new_symbols(definition,[spl191_34])],[avatar_definition]) ).
fof(f1893,definition,
( spl191_35
<=> sP149 ),
introduced(definition,[new_symbols(definition,[spl191_35])],[avatar_definition]) ).
fof(f1897,definition,
( spl191_36
<=> sP150 ),
introduced(definition,[new_symbols(definition,[spl191_36])],[avatar_definition]) ).
fof(f1901,definition,
( spl191_37
<=> sP151 ),
introduced(definition,[new_symbols(definition,[spl191_37])],[avatar_definition]) ).
fof(f1905,definition,
( spl191_38
<=> sP152 ),
introduced(definition,[new_symbols(definition,[spl191_38])],[avatar_definition]) ).
fof(f1909,definition,
( spl191_39
<=> sP153 ),
introduced(definition,[new_symbols(definition,[spl191_39])],[avatar_definition]) ).
fof(f1913,definition,
( spl191_40
<=> sP154 ),
introduced(definition,[new_symbols(definition,[spl191_40])],[avatar_definition]) ).
fof(f1917,definition,
( spl191_41
<=> sP155 ),
introduced(definition,[new_symbols(definition,[spl191_41])],[avatar_definition]) ).
fof(f1921,definition,
( spl191_42
<=> sP156 ),
introduced(definition,[new_symbols(definition,[spl191_42])],[avatar_definition]) ).
fof(f1925,definition,
( spl191_43
<=> sP157 ),
introduced(definition,[new_symbols(definition,[spl191_43])],[avatar_definition]) ).
fof(f1929,definition,
( spl191_44
<=> sP158 ),
introduced(definition,[new_symbols(definition,[spl191_44])],[avatar_definition]) ).
fof(f1933,definition,
( spl191_45
<=> sP159 ),
introduced(definition,[new_symbols(definition,[spl191_45])],[avatar_definition]) ).
fof(f1937,definition,
( spl191_46
<=> sP160 ),
introduced(definition,[new_symbols(definition,[spl191_46])],[avatar_definition]) ).
fof(f1941,definition,
( spl191_47
<=> sP161 ),
introduced(definition,[new_symbols(definition,[spl191_47])],[avatar_definition]) ).
fof(f1945,definition,
( spl191_48
<=> sP162 ),
introduced(definition,[new_symbols(definition,[spl191_48])],[avatar_definition]) ).
fof(f1949,definition,
( spl191_49
<=> sP163 ),
introduced(definition,[new_symbols(definition,[spl191_49])],[avatar_definition]) ).
fof(f1953,definition,
( spl191_50
<=> sP164 ),
introduced(definition,[new_symbols(definition,[spl191_50])],[avatar_definition]) ).
fof(f1957,definition,
( spl191_51
<=> sP165 ),
introduced(definition,[new_symbols(definition,[spl191_51])],[avatar_definition]) ).
fof(f1961,definition,
( spl191_52
<=> e4 = op(e4,unit) ),
introduced(definition,[new_symbols(definition,[spl191_52])],[avatar_definition]) ).
fof(f1962,plain,
( e4 = op(e4,unit)
| ~ spl191_52 ),
inference(avatar_component_clause,[],[f1961]) ).
fof(f1965,definition,
( spl191_53
<=> e4 = op(unit,e4) ),
introduced(definition,[new_symbols(definition,[spl191_53])],[avatar_definition]) ).
fof(f1966,plain,
( e4 = op(unit,e4)
| ~ spl191_53 ),
inference(avatar_component_clause,[],[f1965]) ).
fof(f1969,definition,
( spl191_54
<=> e3 = op(e3,unit) ),
introduced(definition,[new_symbols(definition,[spl191_54])],[avatar_definition]) ).
fof(f1970,plain,
( e3 = op(e3,unit)
| ~ spl191_54 ),
inference(avatar_component_clause,[],[f1969]) ).
fof(f1973,definition,
( spl191_55
<=> e3 = op(unit,e3) ),
introduced(definition,[new_symbols(definition,[spl191_55])],[avatar_definition]) ).
fof(f1974,plain,
( e3 = op(unit,e3)
| ~ spl191_55 ),
inference(avatar_component_clause,[],[f1973]) ).
fof(f1977,definition,
( spl191_56
<=> e2 = op(e2,unit) ),
introduced(definition,[new_symbols(definition,[spl191_56])],[avatar_definition]) ).
fof(f1978,plain,
( e2 = op(e2,unit)
| ~ spl191_56 ),
inference(avatar_component_clause,[],[f1977]) ).
fof(f1981,definition,
( spl191_57
<=> e2 = op(unit,e2) ),
introduced(definition,[new_symbols(definition,[spl191_57])],[avatar_definition]) ).
fof(f1982,plain,
( e2 = op(unit,e2)
| ~ spl191_57 ),
inference(avatar_component_clause,[],[f1981]) ).
fof(f1985,definition,
( spl191_58
<=> e1 = op(e1,unit) ),
introduced(definition,[new_symbols(definition,[spl191_58])],[avatar_definition]) ).
fof(f1989,definition,
( spl191_59
<=> e1 = op(unit,e1) ),
introduced(definition,[new_symbols(definition,[spl191_59])],[avatar_definition]) ).
fof(f1993,definition,
( spl191_60
<=> unit = op(unit,unit) ),
introduced(definition,[new_symbols(definition,[spl191_60])],[avatar_definition]) ).
fof(f1994,plain,
( unit = op(unit,unit)
| ~ spl191_60 ),
inference(avatar_component_clause,[],[f1993]) ).
fof(f1997,definition,
( spl191_61
<=> sP166 ),
introduced(definition,[new_symbols(definition,[spl191_61])],[avatar_definition]) ).
fof(f2001,definition,
( spl191_62
<=> sP167 ),
introduced(definition,[new_symbols(definition,[spl191_62])],[avatar_definition]) ).
fof(f2005,definition,
( spl191_63
<=> sP168 ),
introduced(definition,[new_symbols(definition,[spl191_63])],[avatar_definition]) ).
fof(f2009,definition,
( spl191_64
<=> sP169 ),
introduced(definition,[new_symbols(definition,[spl191_64])],[avatar_definition]) ).
fof(f2013,definition,
( spl191_65
<=> sP170 ),
introduced(definition,[new_symbols(definition,[spl191_65])],[avatar_definition]) ).
fof(f2017,definition,
( spl191_66
<=> sP171 ),
introduced(definition,[new_symbols(definition,[spl191_66])],[avatar_definition]) ).
fof(f2021,definition,
( spl191_67
<=> sP172 ),
introduced(definition,[new_symbols(definition,[spl191_67])],[avatar_definition]) ).
fof(f2025,definition,
( spl191_68
<=> sP173 ),
introduced(definition,[new_symbols(definition,[spl191_68])],[avatar_definition]) ).
fof(f2029,definition,
( spl191_69
<=> sP174 ),
introduced(definition,[new_symbols(definition,[spl191_69])],[avatar_definition]) ).
fof(f2033,definition,
( spl191_70
<=> sP175 ),
introduced(definition,[new_symbols(definition,[spl191_70])],[avatar_definition]) ).
fof(f2037,definition,
( spl191_71
<=> sP176 ),
introduced(definition,[new_symbols(definition,[spl191_71])],[avatar_definition]) ).
fof(f2041,definition,
( spl191_72
<=> sP177 ),
introduced(definition,[new_symbols(definition,[spl191_72])],[avatar_definition]) ).
fof(f2045,definition,
( spl191_73
<=> sP178 ),
introduced(definition,[new_symbols(definition,[spl191_73])],[avatar_definition]) ).
fof(f2049,definition,
( spl191_74
<=> sP179 ),
introduced(definition,[new_symbols(definition,[spl191_74])],[avatar_definition]) ).
fof(f2053,definition,
( spl191_75
<=> sP180 ),
introduced(definition,[new_symbols(definition,[spl191_75])],[avatar_definition]) ).
fof(f2057,definition,
( spl191_76
<=> sP181 ),
introduced(definition,[new_symbols(definition,[spl191_76])],[avatar_definition]) ).
fof(f2061,definition,
( spl191_77
<=> sP182 ),
introduced(definition,[new_symbols(definition,[spl191_77])],[avatar_definition]) ).
fof(f2065,definition,
( spl191_78
<=> sP183 ),
introduced(definition,[new_symbols(definition,[spl191_78])],[avatar_definition]) ).
fof(f2069,definition,
( spl191_79
<=> sP184 ),
introduced(definition,[new_symbols(definition,[spl191_79])],[avatar_definition]) ).
fof(f2073,definition,
( spl191_80
<=> sP185 ),
introduced(definition,[new_symbols(definition,[spl191_80])],[avatar_definition]) ).
fof(f2077,definition,
( spl191_81
<=> sP186 ),
introduced(definition,[new_symbols(definition,[spl191_81])],[avatar_definition]) ).
fof(f2081,definition,
( spl191_82
<=> sP187 ),
introduced(definition,[new_symbols(definition,[spl191_82])],[avatar_definition]) ).
fof(f2085,definition,
( spl191_83
<=> sP188 ),
introduced(definition,[new_symbols(definition,[spl191_83])],[avatar_definition]) ).
fof(f2089,definition,
( spl191_84
<=> sP189 ),
introduced(definition,[new_symbols(definition,[spl191_84])],[avatar_definition]) ).
fof(f2093,definition,
( spl191_85
<=> sP190 ),
introduced(definition,[new_symbols(definition,[spl191_85])],[avatar_definition]) ).
fof(f2112,definition,
( spl191_89
<=> sP113 ),
introduced(definition,[new_symbols(definition,[spl191_89])],[avatar_definition]) ).
fof(f2115,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_89 ),
inference(avatar_split_clause,[],[f1733,f2112,f2093,f2089,f2085,f2081,f2077,f2073,f2069,f2065,f2061,f2057,f2053,f2049,f2045,f2041,f2037,f2033,f2029,f2025,f2021,f2017,f2013,f2009,f2005,f2001,f1997,f1993,f1989,f1985,f1981,f1977,f1973,f1969,f1965,f1961,f1957,f1953,f1949,f1945,f1941,f1937,f1933,f1929,f1925,f1921,f1917,f1913,f1909,f1905,f1901,f1897,f1893,f1889,f1885,f1881,f1877,f1873,f1869,f1865,f1861,f1857,f1853,f1849,f1845,f1841,f1837,f1833,f1829,f1825,f1821,f1817,f1813,f1809,f1805,f1801,f1797,f1793,f1789,f1785,f1781,f1777,f1773,f1769,f1765,f1761,f1757]) ).
fof(f2126,definition,
( spl191_92
<=> e4 = unit ),
introduced(definition,[new_symbols(definition,[spl191_92])],[avatar_definition]) ).
fof(f2154,definition,
( spl191_98
<=> e2 = op(e4,e4) ),
introduced(definition,[new_symbols(definition,[spl191_98])],[avatar_definition]) ).
fof(f2155,plain,
( e2 = op(e4,e4)
| ~ spl191_98 ),
inference(avatar_component_clause,[],[f2154]) ).
fof(f2168,definition,
( spl191_101
<=> e1 = op(e4,e4) ),
introduced(definition,[new_symbols(definition,[spl191_101])],[avatar_definition]) ).
fof(f2169,plain,
( e1 = op(e4,e4)
| ~ spl191_101 ),
inference(avatar_component_clause,[],[f2168]) ).
fof(f2207,definition,
( spl191_109
<=> e4 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl191_109])],[avatar_definition]) ).
fof(f2209,plain,
( e4 = op(e3,e3)
| ~ spl191_109 ),
inference(avatar_component_clause,[],[f2207]) ).
fof(f2230,definition,
( spl191_114
<=> e1 = op(e3,e4) ),
introduced(definition,[new_symbols(definition,[spl191_114])],[avatar_definition]) ).
fof(f2231,plain,
( e1 = op(e3,e4)
| ~ spl191_114 ),
inference(avatar_component_clause,[],[f2230]) ).
fof(f2244,definition,
( spl191_117
<=> op(e3,e4) = unit ),
introduced(definition,[new_symbols(definition,[spl191_117])],[avatar_definition]) ).
fof(f2245,plain,
( op(e3,e4) = unit
| ~ spl191_117 ),
inference(avatar_component_clause,[],[f2244]) ).
fof(f2268,definition,
( spl191_122
<=> e3 = op(e2,e4) ),
introduced(definition,[new_symbols(definition,[spl191_122])],[avatar_definition]) ).
fof(f2269,plain,
( e3 = op(e2,e4)
| ~ spl191_122 ),
inference(avatar_component_clause,[],[f2268]) ).
fof(f2270,plain,
( e3 != op(e2,e4)
| spl191_122 ),
inference(avatar_component_clause,[],[f2268]) ).
fof(f2296,definition,
( spl191_128
<=> e1 = op(e2,e4) ),
introduced(definition,[new_symbols(definition,[spl191_128])],[avatar_definition]) ).
fof(f2297,plain,
( e1 = op(e2,e4)
| ~ spl191_128 ),
inference(avatar_component_clause,[],[f2296]) ).
fof(f2301,definition,
( spl191_129
<=> e4 = op(e2,e1) ),
introduced(definition,[new_symbols(definition,[spl191_129])],[avatar_definition]) ).
fof(f2334,definition,
( spl191_136
<=> e3 = op(e1,e4) ),
introduced(definition,[new_symbols(definition,[spl191_136])],[avatar_definition]) ).
fof(f2335,plain,
( e3 = op(e1,e4)
| ~ spl191_136 ),
inference(avatar_component_clause,[],[f2334]) ).
fof(f2353,definition,
( spl191_140
<=> e4 = op(e1,e2) ),
introduced(definition,[new_symbols(definition,[spl191_140])],[avatar_definition]) ).
fof(f2355,plain,
( e4 = op(e1,e2)
| ~ spl191_140 ),
inference(avatar_component_clause,[],[f2353]) ).
fof(f2362,definition,
( spl191_142
<=> e1 = op(e1,e4) ),
introduced(definition,[new_symbols(definition,[spl191_142])],[avatar_definition]) ).
fof(f2363,plain,
( e1 = op(e1,e4)
| ~ spl191_142 ),
inference(avatar_component_clause,[],[f2362]) ).
fof(f2444,definition,
( spl191_159
<=> e1 = op(e4,e3) ),
introduced(definition,[new_symbols(definition,[spl191_159])],[avatar_definition]) ).
fof(f2449,definition,
( spl191_160
<=> e3 = op(e4,e1) ),
introduced(definition,[new_symbols(definition,[spl191_160])],[avatar_definition]) ).
fof(f2502,definition,
( spl191_171
<=> e1 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl191_171])],[avatar_definition]) ).
fof(f2503,plain,
( e1 = op(e3,e3)
| ~ spl191_171 ),
inference(avatar_component_clause,[],[f2502]) ).
fof(f2547,definition,
( spl191_180
<=> e3 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl191_180])],[avatar_definition]) ).
fof(f2549,plain,
( e3 = op(e2,e2)
| ~ spl191_180 ),
inference(avatar_component_clause,[],[f2547]) ).
fof(f2556,definition,
( spl191_182
<=> e1 = op(e2,e3) ),
introduced(definition,[new_symbols(definition,[spl191_182])],[avatar_definition]) ).
fof(f2557,plain,
( e1 = op(e2,e3)
| ~ spl191_182 ),
inference(avatar_component_clause,[],[f2556]) ).
fof(f2570,definition,
( spl191_185
<=> op(e2,e3) = unit ),
introduced(definition,[new_symbols(definition,[spl191_185])],[avatar_definition]) ).
fof(f2571,plain,
( op(e2,e3) = unit
| ~ spl191_185 ),
inference(avatar_component_clause,[],[f2570]) ).
fof(f2600,definition,
( spl191_191
<=> e2 = op(e1,e3) ),
introduced(definition,[new_symbols(definition,[spl191_191])],[avatar_definition]) ).
fof(f2601,plain,
( e2 = op(e1,e3)
| ~ spl191_191 ),
inference(avatar_component_clause,[],[f2600]) ).
fof(f2614,definition,
( spl191_194
<=> e1 = op(e1,e3) ),
introduced(definition,[new_symbols(definition,[spl191_194])],[avatar_definition]) ).
fof(f2615,plain,
( e1 = op(e1,e3)
| ~ spl191_194 ),
inference(avatar_component_clause,[],[f2614]) ).
fof(f2680,definition,
( spl191_207
<=> e1 = op(e4,e2) ),
introduced(definition,[new_symbols(definition,[spl191_207])],[avatar_definition]) ).
fof(f2681,plain,
( e1 = op(e4,e2)
| ~ spl191_207 ),
inference(avatar_component_clause,[],[f2680]) ).
fof(f2694,definition,
( spl191_210
<=> op(e4,e2) = unit ),
introduced(definition,[new_symbols(definition,[spl191_210])],[avatar_definition]) ).
fof(f2695,plain,
( op(e4,e2) = unit
| ~ spl191_210 ),
inference(avatar_component_clause,[],[f2694]) ).
fof(f2730,definition,
( spl191_217
<=> e1 = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[spl191_217])],[avatar_definition]) ).
fof(f2735,definition,
( spl191_218
<=> e2 = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[spl191_218])],[avatar_definition]) ).
fof(f2780,definition,
( spl191_227
<=> e1 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl191_227])],[avatar_definition]) ).
fof(f2781,plain,
( e1 = op(e2,e2)
| ~ spl191_227 ),
inference(avatar_component_clause,[],[f2780]) ).
fof(f2826,definition,
( spl191_236
<=> e1 = op(e1,e2) ),
introduced(definition,[new_symbols(definition,[spl191_236])],[avatar_definition]) ).
fof(f2827,plain,
( e1 = op(e1,e2)
| ~ spl191_236 ),
inference(avatar_component_clause,[],[f2826]) ).
fof(f2840,definition,
( spl191_239
<=> op(e1,e2) = unit ),
introduced(definition,[new_symbols(definition,[spl191_239])],[avatar_definition]) ).
fof(f2841,plain,
( op(e1,e2) = unit
| ~ spl191_239 ),
inference(avatar_component_clause,[],[f2840]) ).
fof(f2842,plain,
( op(e1,e2) != unit
| spl191_239 ),
inference(avatar_component_clause,[],[f2840]) ).
fof(f2878,definition,
( spl191_247
<=> sP66 ),
introduced(definition,[new_symbols(definition,[spl191_247])],[avatar_definition]) ).
fof(f2882,definition,
( spl191_248
<=> e1 = unit ),
introduced(definition,[new_symbols(definition,[spl191_248])],[avatar_definition]) ).
fof(f2886,plain,
( ~ spl191_247
| spl191_101 ),
inference(avatar_split_clause,[],[f933,f2168,f2878]) ).
fof(f2888,definition,
( spl191_249
<=> sP67 ),
introduced(definition,[new_symbols(definition,[spl191_249])],[avatar_definition]) ).
fof(f2891,plain,
( ~ spl191_249
| spl191_248
| ~ spl191_160 ),
inference(avatar_split_clause,[],[f930,f2449,f2882,f2888]) ).
fof(f2894,definition,
( spl191_250
<=> sP68 ),
introduced(definition,[new_symbols(definition,[spl191_250])],[avatar_definition]) ).
fof(f2898,plain,
( ~ spl191_250
| spl191_207 ),
inference(avatar_split_clause,[],[f929,f2680,f2894]) ).
fof(f2900,definition,
( spl191_251
<=> sP69 ),
introduced(definition,[new_symbols(definition,[spl191_251])],[avatar_definition]) ).
fof(f2904,definition,
( spl191_252
<=> e1 = op(e4,e1) ),
introduced(definition,[new_symbols(definition,[spl191_252])],[avatar_definition]) ).
fof(f2907,plain,
( spl191_251
| spl191_248
| ~ spl191_252 ),
inference(avatar_split_clause,[],[f1672,f2904,f2882,f2900]) ).
fof(f2908,plain,
( spl191_251
| spl191_252 ),
inference(avatar_split_clause,[],[f1671,f2904,f2900]) ).
fof(f2910,definition,
( spl191_253
<=> sP70 ),
introduced(definition,[new_symbols(definition,[spl191_253])],[avatar_definition]) ).
fof(f2919,definition,
( spl191_255
<=> e1 = op(e4,unit) ),
introduced(definition,[new_symbols(definition,[spl191_255])],[avatar_definition]) ).
fof(f2921,plain,
( e1 = op(e4,unit)
| ~ spl191_255 ),
inference(avatar_component_clause,[],[f2919]) ).
fof(f2922,plain,
( ~ spl191_253
| spl191_255 ),
inference(avatar_split_clause,[],[f1366,f2919,f2910]) ).
fof(f2924,definition,
( spl191_256
<=> sP71 ),
introduced(definition,[new_symbols(definition,[spl191_256])],[avatar_definition]) ).
fof(f2928,plain,
( ~ spl191_256
| spl191_114 ),
inference(avatar_split_clause,[],[f923,f2230,f2924]) ).
fof(f2930,definition,
( spl191_257
<=> sP72 ),
introduced(definition,[new_symbols(definition,[spl191_257])],[avatar_definition]) ).
fof(f2934,plain,
( ~ spl191_257
| spl191_171 ),
inference(avatar_split_clause,[],[f921,f2502,f2930]) ).
fof(f2936,definition,
( spl191_258
<=> sP73 ),
introduced(definition,[new_symbols(definition,[spl191_258])],[avatar_definition]) ).
fof(f2939,plain,
( spl191_258
| spl191_248
| ~ spl191_218 ),
inference(avatar_split_clause,[],[f1670,f2735,f2882,f2936]) ).
fof(f2942,definition,
( spl191_259
<=> sP74 ),
introduced(definition,[new_symbols(definition,[spl191_259])],[avatar_definition]) ).
fof(f2946,definition,
( spl191_260
<=> e1 = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[spl191_260])],[avatar_definition]) ).
fof(f2949,plain,
( ~ spl191_259
| spl191_248
| ~ spl191_260 ),
inference(avatar_split_clause,[],[f916,f2946,f2882,f2942]) ).
fof(f2950,plain,
( ~ spl191_259
| spl191_260 ),
inference(avatar_split_clause,[],[f917,f2946,f2942]) ).
fof(f2952,definition,
( spl191_261
<=> sP75 ),
introduced(definition,[new_symbols(definition,[spl191_261])],[avatar_definition]) ).
fof(f2961,definition,
( spl191_263
<=> e1 = op(e3,unit) ),
introduced(definition,[new_symbols(definition,[spl191_263])],[avatar_definition]) ).
fof(f2963,plain,
( e1 = op(e3,unit)
| ~ spl191_263 ),
inference(avatar_component_clause,[],[f2961]) ).
fof(f2964,plain,
( spl191_261
| spl191_263 ),
inference(avatar_split_clause,[],[f1667,f2961,f2952]) ).
fof(f2966,definition,
( spl191_264
<=> sP76 ),
introduced(definition,[new_symbols(definition,[spl191_264])],[avatar_definition]) ).
fof(f2969,plain,
( ~ spl191_264
| spl191_248
| ~ spl191_129 ),
inference(avatar_split_clause,[],[f912,f2301,f2882,f2966]) ).
fof(f2972,definition,
( spl191_265
<=> sP77 ),
introduced(definition,[new_symbols(definition,[spl191_265])],[avatar_definition]) ).
fof(f2976,plain,
( spl191_265
| spl191_182 ),
inference(avatar_split_clause,[],[f1665,f2556,f2972]) ).
fof(f2978,definition,
( spl191_266
<=> sP78 ),
introduced(definition,[new_symbols(definition,[spl191_266])],[avatar_definition]) ).
fof(f2982,plain,
( ~ spl191_266
| spl191_227 ),
inference(avatar_split_clause,[],[f909,f2780,f2978]) ).
fof(f2984,definition,
( spl191_267
<=> sP79 ),
introduced(definition,[new_symbols(definition,[spl191_267])],[avatar_definition]) ).
fof(f2988,definition,
( spl191_268
<=> e1 = op(e2,e1) ),
introduced(definition,[new_symbols(definition,[spl191_268])],[avatar_definition]) ).
fof(f2991,plain,
( ~ spl191_267
| spl191_248
| ~ spl191_268 ),
inference(avatar_split_clause,[],[f906,f2988,f2882,f2984]) ).
fof(f2992,plain,
( ~ spl191_267
| spl191_268 ),
inference(avatar_split_clause,[],[f907,f2988,f2984]) ).
fof(f2994,definition,
( spl191_269
<=> sP80 ),
introduced(definition,[new_symbols(definition,[spl191_269])],[avatar_definition]) ).
fof(f3003,definition,
( spl191_271
<=> e1 = op(e2,unit) ),
introduced(definition,[new_symbols(definition,[spl191_271])],[avatar_definition]) ).
fof(f3005,plain,
( e1 = op(e2,unit)
| ~ spl191_271 ),
inference(avatar_component_clause,[],[f3003]) ).
fof(f3006,plain,
( ~ spl191_269
| spl191_271 ),
inference(avatar_split_clause,[],[f1362,f3003,f2994]) ).
fof(f3008,definition,
( spl191_272
<=> sP81 ),
introduced(definition,[new_symbols(definition,[spl191_272])],[avatar_definition]) ).
fof(f3012,plain,
( spl191_272
| spl191_142 ),
inference(avatar_split_clause,[],[f1663,f2362,f3008]) ).
fof(f3014,definition,
( spl191_273
<=> sP82 ),
introduced(definition,[new_symbols(definition,[spl191_273])],[avatar_definition]) ).
fof(f3018,plain,
( ~ spl191_273
| spl191_194 ),
inference(avatar_split_clause,[],[f901,f2614,f3014]) ).
fof(f3020,definition,
( spl191_274
<=> sP83 ),
introduced(definition,[new_symbols(definition,[spl191_274])],[avatar_definition]) ).
fof(f3024,plain,
( ~ spl191_274
| spl191_236 ),
inference(avatar_split_clause,[],[f899,f2826,f3020]) ).
fof(f3026,definition,
( spl191_275
<=> sP84 ),
introduced(definition,[new_symbols(definition,[spl191_275])],[avatar_definition]) ).
fof(f3030,definition,
( spl191_276
<=> e1 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl191_276])],[avatar_definition]) ).
fof(f3033,plain,
( ~ spl191_275
| spl191_248
| ~ spl191_276 ),
inference(avatar_split_clause,[],[f896,f3030,f2882,f3026]) ).
fof(f3034,plain,
( ~ spl191_275
| spl191_276 ),
inference(avatar_split_clause,[],[f897,f3030,f3026]) ).
fof(f3036,definition,
( spl191_277
<=> sP85 ),
introduced(definition,[new_symbols(definition,[spl191_277])],[avatar_definition]) ).
fof(f3040,definition,
( spl191_278
<=> op(e1,e1) = unit ),
introduced(definition,[new_symbols(definition,[spl191_278])],[avatar_definition]) ).
fof(f3043,plain,
( spl191_277
| spl191_248
| ~ spl191_278 ),
inference(avatar_split_clause,[],[f1662,f3040,f2882,f3036]) ).
fof(f3046,definition,
( spl191_279
<=> sP86 ),
introduced(definition,[new_symbols(definition,[spl191_279])],[avatar_definition]) ).
fof(f3055,definition,
( spl191_281
<=> e1 = op(unit,e4) ),
introduced(definition,[new_symbols(definition,[spl191_281])],[avatar_definition]) ).
fof(f3056,plain,
( e1 != op(unit,e4)
| spl191_281 ),
inference(avatar_component_clause,[],[f3055]) ).
fof(f3057,plain,
( e1 = op(unit,e4)
| ~ spl191_281 ),
inference(avatar_component_clause,[],[f3055]) ).
fof(f3058,plain,
( ~ spl191_279
| spl191_281 ),
inference(avatar_split_clause,[],[f1358,f3055,f3046]) ).
fof(f3060,definition,
( spl191_282
<=> sP87 ),
introduced(definition,[new_symbols(definition,[spl191_282])],[avatar_definition]) ).
fof(f3069,definition,
( spl191_284
<=> e1 = op(unit,e3) ),
introduced(definition,[new_symbols(definition,[spl191_284])],[avatar_definition]) ).
fof(f3070,plain,
( e1 != op(unit,e3)
| spl191_284 ),
inference(avatar_component_clause,[],[f3069]) ).
fof(f3071,plain,
( e1 = op(unit,e3)
| ~ spl191_284 ),
inference(avatar_component_clause,[],[f3069]) ).
fof(f3072,plain,
( spl191_282
| spl191_284 ),
inference(avatar_split_clause,[],[f1659,f3069,f3060]) ).
fof(f3232,definition,
( spl191_315
<=> e1 = op(unit,e2) ),
introduced(definition,[new_symbols(definition,[spl191_315])],[avatar_definition]) ).
fof(f3233,plain,
( e1 = op(unit,e2)
| ~ spl191_315 ),
inference(avatar_component_clause,[],[f3232]) ).
fof(f3264,definition,
( spl191_320
<=> e1 = op(unit,unit) ),
introduced(definition,[new_symbols(definition,[spl191_320])],[avatar_definition]) ).
fof(f3266,plain,
( e1 = op(unit,unit)
| ~ spl191_320 ),
inference(avatar_component_clause,[],[f3264]) ).
fof(f3268,plain,
( spl191_89
| spl191_247
| spl191_249
| spl191_250
| ~ spl191_251
| spl191_253
| spl191_256
| spl191_257
| ~ spl191_258
| spl191_259
| ~ spl191_261
| spl191_264
| ~ spl191_265
| spl191_266
| spl191_267
| spl191_269
| ~ spl191_272
| spl191_273
| spl191_274
| spl191_275
| ~ spl191_277
| spl191_279
| ~ spl191_282
| spl191_315
| spl191_248
| ~ spl191_59
| spl191_320 ),
inference(avatar_split_clause,[],[f1609,f3264,f1989,f2882,f3232,f3060,f3046,f3036,f3026,f3020,f3014,f3008,f2994,f2984,f2978,f2972,f2966,f2952,f2942,f2936,f2930,f2924,f2910,f2900,f2894,f2888,f2878,f2112]) ).
fof(f3276,plain,
( ~ spl191_1
| ~ spl191_53 ),
inference(avatar_split_clause,[],[f1271,f1965,f1757]) ).
fof(f3281,plain,
( ~ spl191_2
| ~ spl191_52 ),
inference(avatar_split_clause,[],[f1270,f1961,f1761]) ).
fof(f3285,plain,
( spl191_3
| ~ spl191_136 ),
inference(avatar_split_clause,[],[f1595,f2334,f1765]) ).
fof(f3290,plain,
( spl191_4
| ~ spl191_160 ),
inference(avatar_split_clause,[],[f1590,f2449,f1769]) ).
fof(f3292,plain,
( ~ spl191_5
| ~ spl191_98 ),
inference(avatar_split_clause,[],[f781,f2154,f1773]) ).
fof(f3297,plain,
( ~ spl191_6
| ~ spl191_98 ),
inference(avatar_split_clause,[],[f776,f2154,f1777]) ).
fof(f3304,plain,
( spl191_7
| ~ spl191_128 ),
inference(avatar_split_clause,[],[f1586,f2296,f1781]) ).
fof(f3308,plain,
( ~ spl191_8
| ~ spl191_159 ),
inference(avatar_split_clause,[],[f767,f2444,f1785]) ).
fof(f3313,plain,
( spl191_9
| ~ spl191_117 ),
inference(avatar_split_clause,[],[f1582,f2244,f1789]) ).
fof(f3319,plain,
( spl191_10
| ~ spl191_210 ),
inference(avatar_split_clause,[],[f1576,f2694,f1793]) ).
fof(f3323,plain,
( spl191_11
| ~ spl191_109 ),
inference(avatar_split_clause,[],[f1572,f2207,f1797]) ).
fof(f3328,plain,
( spl191_12
| ~ spl191_109 ),
inference(avatar_split_clause,[],[f1567,f2207,f1801]) ).
fof(f3336,plain,
( ~ spl191_13
| ~ spl191_55 ),
inference(avatar_split_clause,[],[f1251,f1973,f1805]) ).
fof(f3341,plain,
( spl191_14
| ~ spl191_54 ),
inference(avatar_split_clause,[],[f1559,f1969,f1809]) ).
fof(f3345,plain,
( ~ spl191_15
| ~ spl191_191 ),
inference(avatar_split_clause,[],[f734,f2600,f1813]) ).
fof(f3350,plain,
( ~ spl191_16
| ~ spl191_218 ),
inference(avatar_split_clause,[],[f729,f2735,f1817]) ).
fof(f3352,plain,
( spl191_17
| ~ spl191_159 ),
inference(avatar_split_clause,[],[f1558,f2444,f1821]) ).
fof(f3359,plain,
( ~ spl191_18
| ~ spl191_217 ),
inference(avatar_split_clause,[],[f718,f2730,f1825]) ).
fof(f3364,plain,
( ~ spl191_19
| ~ spl191_185 ),
inference(avatar_split_clause,[],[f1243,f2570,f1829]) ).
fof(f3367,plain,
( spl191_20
| ~ spl191_117 ),
inference(avatar_split_clause,[],[f1553,f2244,f1833]) ).
fof(f3375,plain,
( ~ spl191_21
| ~ spl191_140 ),
inference(avatar_split_clause,[],[f704,f2353,f1837]) ).
fof(f3380,plain,
( spl191_22
| ~ spl191_129 ),
inference(avatar_split_clause,[],[f1545,f2301,f1841]) ).
fof(f3384,plain,
( ~ spl191_23
| ~ spl191_180 ),
inference(avatar_split_clause,[],[f693,f2547,f1845]) ).
fof(f3389,plain,
( spl191_24
| ~ spl191_180 ),
inference(avatar_split_clause,[],[f1541,f2547,f1849]) ).
fof(f3396,plain,
( ~ spl191_25
| ~ spl191_57 ),
inference(avatar_split_clause,[],[f1231,f1981,f1853]) ).
fof(f3401,plain,
( spl191_26
| ~ spl191_56 ),
inference(avatar_split_clause,[],[f1534,f1977,f1857]) ).
fof(f3403,plain,
( spl191_27
| ~ spl191_217 ),
inference(avatar_split_clause,[],[f1532,f2730,f1861]) ).
fof(f3407,plain,
( spl191_28
| ~ spl191_128 ),
inference(avatar_split_clause,[],[f1528,f2296,f1865]) ).
fof(f3412,plain,
( ~ spl191_29
| ~ spl191_210 ),
inference(avatar_split_clause,[],[f1227,f2694,f1869]) ).
fof(f3418,plain,
( spl191_30
| ~ spl191_185 ),
inference(avatar_split_clause,[],[f1522,f2570,f1873]) ).
fof(f3424,plain,
( spl191_31
| ~ spl191_129 ),
inference(avatar_split_clause,[],[f1516,f2301,f1877]) ).
fof(f3429,plain,
( spl191_32
| ~ spl191_140 ),
inference(avatar_split_clause,[],[f1511,f2353,f1881]) ).
fof(f3432,plain,
( spl191_33
| ~ spl191_160 ),
inference(avatar_split_clause,[],[f1508,f2449,f1885]) ).
fof(f3437,plain,
( ~ spl191_34
| ~ spl191_136 ),
inference(avatar_split_clause,[],[f636,f2334,f1889]) ).
fof(f3443,plain,
( spl191_35
| ~ spl191_218 ),
inference(avatar_split_clause,[],[f1502,f2735,f1893]) ).
fof(f3448,plain,
( spl191_36
| ~ spl191_191 ),
inference(avatar_split_clause,[],[f1497,f2600,f1897]) ).
fof(f3456,plain,
( ~ spl191_37
| ~ spl191_59 ),
inference(avatar_split_clause,[],[f1211,f1989,f1901]) ).
fof(f3461,plain,
( ~ spl191_38
| ~ spl191_58 ),
inference(avatar_split_clause,[],[f1210,f1985,f1905]) ).
fof(f3465,plain,
( spl191_39
| ~ spl191_278 ),
inference(avatar_split_clause,[],[f1490,f3040,f1909]) ).
fof(f3470,plain,
( spl191_40
| ~ spl191_278 ),
inference(avatar_split_clause,[],[f1485,f3040,f1913]) ).
fof(f3472,plain,
( ~ spl191_41
| ~ spl191_52 ),
inference(avatar_split_clause,[],[f1199,f1961,f1917]) ).
fof(f3477,plain,
( ~ spl191_42
| ~ spl191_53 ),
inference(avatar_split_clause,[],[f1194,f1965,f1921]) ).
fof(f3483,plain,
( ~ spl191_43
| ~ spl191_54 ),
inference(avatar_split_clause,[],[f1188,f1969,f1925]) ).
fof(f3488,plain,
( spl191_44
| ~ spl191_55 ),
inference(avatar_split_clause,[],[f1482,f1973,f1929]) ).
fof(f3494,plain,
( spl191_45
| ~ spl191_56 ),
inference(avatar_split_clause,[],[f1476,f1977,f1933]) ).
fof(f3499,plain,
( ~ spl191_46
| ~ spl191_57 ),
inference(avatar_split_clause,[],[f1172,f1981,f1937]) ).
fof(f3505,plain,
( spl191_47
| ~ spl191_58 ),
inference(avatar_split_clause,[],[f1470,f1985,f1941]) ).
fof(f3510,plain,
( ~ spl191_48
| ~ spl191_59 ),
inference(avatar_split_clause,[],[f1161,f1989,f1945]) ).
fof(f3516,plain,
( ~ spl191_49
| ~ spl191_60 ),
inference(avatar_split_clause,[],[f1155,f1993,f1949]) ).
fof(f3521,plain,
( ~ spl191_50
| ~ spl191_60 ),
inference(avatar_split_clause,[],[f1150,f1993,f1953]) ).
fof(f3526,plain,
spl191_51,
inference(avatar_split_clause,[],[f1755,f1957]) ).
fof(f3529,plain,
( spl191_61
| ~ spl191_98 ),
inference(avatar_split_clause,[],[f1461,f2154,f1997]) ).
fof(f3535,plain,
( spl191_62
| ~ spl191_159 ),
inference(avatar_split_clause,[],[f1455,f2444,f2001]) ).
fof(f3541,plain,
( ~ spl191_63
| ~ spl191_210 ),
inference(avatar_split_clause,[],[f1146,f2694,f2005]) ).
fof(f3543,plain,
( ~ spl191_64
| ~ spl191_160 ),
inference(avatar_split_clause,[],[f532,f2449,f2009]) ).
fof(f3547,plain,
( ~ spl191_65
| ~ spl191_52 ),
inference(avatar_split_clause,[],[f1144,f1961,f2013]) ).
fof(f3556,plain,
( spl191_66
| ~ spl191_117 ),
inference(avatar_split_clause,[],[f1449,f2244,f2017]) ).
fof(f3557,plain,
( ~ spl191_67
| ~ spl191_109 ),
inference(avatar_split_clause,[],[f516,f2207,f2021]) ).
fof(f3565,plain,
( ~ spl191_68
| ~ spl191_217 ),
inference(avatar_split_clause,[],[f514,f2730,f2025]) ).
fof(f3569,plain,
( spl191_69
| ~ spl191_218 ),
inference(avatar_split_clause,[],[f1446,f2735,f2029]) ).
fof(f3573,plain,
( spl191_70
| ~ spl191_54 ),
inference(avatar_split_clause,[],[f1442,f1969,f2033]) ).
fof(f3580,plain,
( spl191_71
| ~ spl191_128 ),
inference(avatar_split_clause,[],[f1435,f2296,f2037]) ).
fof(f3586,plain,
( spl191_72
| ~ spl191_185 ),
inference(avatar_split_clause,[],[f1429,f2570,f2041]) ).
fof(f3588,plain,
( ~ spl191_73
| ~ spl191_180 ),
inference(avatar_split_clause,[],[f487,f2547,f2045]) ).
fof(f3592,plain,
( ~ spl191_74
| ~ spl191_129 ),
inference(avatar_split_clause,[],[f481,f2301,f2049]) ).
fof(f3599,plain,
( ~ spl191_75
| ~ spl191_56 ),
inference(avatar_split_clause,[],[f1124,f1977,f2053]) ).
fof(f3603,plain,
( ~ spl191_76
| ~ spl191_136 ),
inference(avatar_split_clause,[],[f472,f2334,f2057]) ).
fof(f3609,plain,
( spl191_77
| ~ spl191_191 ),
inference(avatar_split_clause,[],[f1426,f2600,f2061]) ).
fof(f3612,plain,
( spl191_78
| ~ spl191_140 ),
inference(avatar_split_clause,[],[f1423,f2353,f2065]) ).
fof(f3621,plain,
( ~ spl191_79
| ~ spl191_278 ),
inference(avatar_split_clause,[],[f1118,f3040,f2069]) ).
fof(f3625,plain,
( ~ spl191_80
| ~ spl191_58 ),
inference(avatar_split_clause,[],[f1114,f1985,f2073]) ).
fof(f3627,plain,
( spl191_81
| ~ spl191_53 ),
inference(avatar_split_clause,[],[f1418,f1965,f2077]) ).
fof(f3633,plain,
( ~ spl191_82
| ~ spl191_55 ),
inference(avatar_split_clause,[],[f1106,f1973,f2081]) ).
fof(f3639,plain,
( spl191_83
| ~ spl191_57 ),
inference(avatar_split_clause,[],[f1411,f1981,f2085]) ).
fof(f3645,plain,
( ~ spl191_84
| ~ spl191_59 ),
inference(avatar_split_clause,[],[f1094,f1989,f2089]) ).
fof(f3651,plain,
( ~ spl191_85
| ~ spl191_60 ),
inference(avatar_split_clause,[],[f1088,f1993,f2093]) ).
fof(f3652,plain,
spl191_98,
inference(avatar_split_clause,[],[f400,f2154]) ).
fof(f3653,plain,
spl191_159,
inference(avatar_split_clause,[],[f401,f2444]) ).
fof(f3654,plain,
spl191_210,
inference(avatar_split_clause,[],[f1087,f2694]) ).
fof(f3655,plain,
spl191_160,
inference(avatar_split_clause,[],[f403,f2449]) ).
fof(f3656,plain,
spl191_52,
inference(avatar_split_clause,[],[f1086,f1961]) ).
fof(f3657,plain,
spl191_117,
inference(avatar_split_clause,[],[f1085,f2244]) ).
fof(f3658,plain,
spl191_109,
inference(avatar_split_clause,[],[f406,f2207]) ).
fof(f3659,plain,
spl191_217,
inference(avatar_split_clause,[],[f407,f2730]) ).
fof(f3660,plain,
spl191_218,
inference(avatar_split_clause,[],[f408,f2735]) ).
fof(f3661,plain,
spl191_54,
inference(avatar_split_clause,[],[f1084,f1969]) ).
fof(f3662,plain,
spl191_128,
inference(avatar_split_clause,[],[f410,f2296]) ).
fof(f3663,plain,
spl191_185,
inference(avatar_split_clause,[],[f1083,f2570]) ).
fof(f3664,plain,
spl191_180,
inference(avatar_split_clause,[],[f412,f2547]) ).
fof(f3665,plain,
spl191_129,
inference(avatar_split_clause,[],[f413,f2301]) ).
fof(f3666,plain,
spl191_56,
inference(avatar_split_clause,[],[f1082,f1977]) ).
fof(f3667,plain,
spl191_136,
inference(avatar_split_clause,[],[f415,f2334]) ).
fof(f3668,plain,
spl191_191,
inference(avatar_split_clause,[],[f416,f2600]) ).
fof(f3669,plain,
spl191_140,
inference(avatar_split_clause,[],[f417,f2353]) ).
fof(f3670,plain,
spl191_278,
inference(avatar_split_clause,[],[f1081,f3040]) ).
fof(f3671,plain,
spl191_58,
inference(avatar_split_clause,[],[f1080,f1985]) ).
fof(f3672,plain,
spl191_53,
inference(avatar_split_clause,[],[f1079,f1965]) ).
fof(f3673,plain,
spl191_55,
inference(avatar_split_clause,[],[f1078,f1973]) ).
fof(f3674,plain,
spl191_57,
inference(avatar_split_clause,[],[f1077,f1981]) ).
fof(f3675,plain,
spl191_59,
inference(avatar_split_clause,[],[f1076,f1989]) ).
fof(f3676,plain,
spl191_60,
inference(avatar_split_clause,[],[f1075,f1993]) ).
fof(f3677,plain,
~ spl191_92,
inference(avatar_split_clause,[],[f1074,f2126]) ).
fof(f3680,plain,
~ spl191_248,
inference(avatar_split_clause,[],[f1071,f2882]) ).
fof(f3700,plain,
( e1 = e3
| ~ spl191_122
| ~ spl191_128 ),
inference(superposition,[],[f2269,f2297]) ).
fof(f3703,plain,
( e1 != e1
| ~ spl191_122
| ~ spl191_128 ),
inference(superposition,[],[f394,f3700]) ).
fof(f3717,plain,
( $false
| ~ spl191_122
| ~ spl191_128 ),
inference(trivial_inequality_removal,[],[f3703]) ).
fof(f3718,plain,
( ~ spl191_122
| ~ spl191_128 ),
inference(avatar_contradiction_clause,[],[f3717]) ).
fof(f3738,plain,
( e1 = e3
| ~ spl191_136
| ~ spl191_142 ),
inference(superposition,[],[f2335,f2363]) ).
fof(f3741,plain,
( e1 != e1
| ~ spl191_136
| ~ spl191_142 ),
inference(superposition,[],[f394,f3738]) ).
fof(f3756,plain,
( $false
| ~ spl191_136
| ~ spl191_142 ),
inference(trivial_inequality_removal,[],[f3741]) ).
fof(f3757,plain,
( ~ spl191_136
| ~ spl191_142 ),
inference(avatar_contradiction_clause,[],[f3756]) ).
fof(f3850,plain,
( e1 = unit
| ~ spl191_182
| ~ spl191_185 ),
inference(superposition,[],[f2557,f2571]) ).
fof(f3854,plain,
( spl191_248
| ~ spl191_182
| ~ spl191_185 ),
inference(avatar_split_clause,[],[f3850,f2570,f2556,f2882]) ).
fof(f3892,plain,
( e4 = unit
| ~ spl191_140
| ~ spl191_239 ),
inference(superposition,[],[f2355,f2841]) ).
fof(f3893,plain,
( spl191_92
| ~ spl191_140
| ~ spl191_239 ),
inference(avatar_split_clause,[],[f3892,f2840,f2353,f2126]) ).
fof(f3940,plain,
( e1 = unit
| ~ spl191_60
| ~ spl191_320 ),
inference(superposition,[],[f1994,f3266]) ).
fof(f3941,plain,
( spl191_248
| ~ spl191_60
| ~ spl191_320 ),
inference(avatar_split_clause,[],[f3940,f3264,f1993,f2882]) ).
fof(f3944,plain,
( e1 = e2
| ~ spl191_98
| ~ spl191_101 ),
inference(superposition,[],[f2155,f2169]) ).
fof(f3953,plain,
( e3 != op(e1,e4)
| ~ spl191_98
| ~ spl191_101
| spl191_122 ),
inference(superposition,[],[f2270,f3944]) ).
fof(f4008,plain,
( ~ spl191_136
| ~ spl191_98
| ~ spl191_101
| spl191_122 ),
inference(avatar_split_clause,[],[f3953,f2268,f2168,f2154,f2334]) ).
fof(f4011,plain,
( e1 = unit
| ~ spl191_207
| ~ spl191_210 ),
inference(superposition,[],[f2695,f2681]) ).
fof(f4015,plain,
( spl191_248
| ~ spl191_207
| ~ spl191_210 ),
inference(avatar_split_clause,[],[f4011,f2694,f2680,f2882]) ).
fof(f4021,plain,
( e1 = e4
| ~ spl191_52
| ~ spl191_255 ),
inference(superposition,[],[f1962,f2921]) ).
fof(f4067,plain,
( e1 != op(unit,e1)
| ~ spl191_52
| ~ spl191_255
| spl191_281 ),
inference(superposition,[],[f3056,f4021]) ).
fof(f4072,plain,
( ~ spl191_59
| ~ spl191_52
| ~ spl191_255
| spl191_281 ),
inference(avatar_split_clause,[],[f4067,f3055,f2919,f1961,f1989]) ).
fof(f4086,plain,
( e1 = unit
| ~ spl191_114
| ~ spl191_117 ),
inference(superposition,[],[f2245,f2231]) ).
fof(f4090,plain,
( spl191_248
| ~ spl191_114
| ~ spl191_117 ),
inference(avatar_split_clause,[],[f4086,f2244,f2230,f2882]) ).
fof(f4096,plain,
( e1 = e4
| ~ spl191_109
| ~ spl191_171 ),
inference(superposition,[],[f2209,f2503]) ).
fof(f4141,plain,
( e1 != op(unit,e1)
| ~ spl191_109
| ~ spl191_171
| spl191_281 ),
inference(superposition,[],[f3056,f4096]) ).
fof(f4146,plain,
( ~ spl191_59
| ~ spl191_109
| ~ spl191_171
| spl191_281 ),
inference(avatar_split_clause,[],[f4141,f3055,f2502,f2207,f1989]) ).
fof(f4165,plain,
( e1 = e3
| ~ spl191_54
| ~ spl191_263 ),
inference(superposition,[],[f1970,f2963]) ).
fof(f4211,plain,
( e1 != op(unit,e1)
| ~ spl191_54
| ~ spl191_263
| spl191_284 ),
inference(superposition,[],[f3070,f4165]) ).
fof(f4216,plain,
( ~ spl191_59
| ~ spl191_54
| ~ spl191_263
| spl191_284 ),
inference(avatar_split_clause,[],[f4211,f3069,f2961,f1969,f1989]) ).
fof(f4232,plain,
( e1 = e3
| ~ spl191_180
| ~ spl191_227 ),
inference(superposition,[],[f2549,f2781]) ).
fof(f4277,plain,
( e1 != op(unit,e1)
| ~ spl191_180
| ~ spl191_227
| spl191_284 ),
inference(superposition,[],[f3070,f4232]) ).
fof(f4282,plain,
( ~ spl191_59
| ~ spl191_180
| ~ spl191_227
| spl191_284 ),
inference(avatar_split_clause,[],[f4277,f3069,f2780,f2547,f1989]) ).
fof(f4301,plain,
( e1 = e2
| ~ spl191_56
| ~ spl191_271 ),
inference(superposition,[],[f1978,f3005]) ).
fof(f4339,plain,
( op(e1,e1) != unit
| ~ spl191_56
| spl191_239
| ~ spl191_271 ),
inference(superposition,[],[f2842,f4301]) ).
fof(f4352,plain,
( ~ spl191_278
| ~ spl191_56
| spl191_239
| ~ spl191_271 ),
inference(avatar_split_clause,[],[f4339,f3003,f2840,f1977,f3040]) ).
fof(f4365,plain,
( e1 = e2
| ~ spl191_191
| ~ spl191_194 ),
inference(superposition,[],[f2601,f2615]) ).
fof(f4405,plain,
( op(e1,e1) != unit
| ~ spl191_191
| ~ spl191_194
| spl191_239 ),
inference(superposition,[],[f2842,f4365]) ).
fof(f4417,plain,
( ~ spl191_278
| ~ spl191_191
| ~ spl191_194
| spl191_239 ),
inference(avatar_split_clause,[],[f4405,f2840,f2614,f2600,f3040]) ).
fof(f4435,plain,
( e1 = e4
| ~ spl191_140
| ~ spl191_236 ),
inference(superposition,[],[f2355,f2827]) ).
fof(f4481,plain,
( e1 != op(unit,e1)
| ~ spl191_140
| ~ spl191_236
| spl191_281 ),
inference(superposition,[],[f3056,f4435]) ).
fof(f4486,plain,
( ~ spl191_59
| ~ spl191_140
| ~ spl191_236
| spl191_281 ),
inference(avatar_split_clause,[],[f4481,f3055,f2826,f2353,f1989]) ).
fof(f4508,plain,
( e1 = e4
| ~ spl191_53
| ~ spl191_281 ),
inference(superposition,[],[f1966,f3057]) ).
fof(f4511,plain,
( e1 != e1
| ~ spl191_53
| ~ spl191_281 ),
inference(superposition,[],[f393,f4508]) ).
fof(f4557,plain,
( $false
| ~ spl191_53
| ~ spl191_281 ),
inference(trivial_inequality_removal,[],[f4511]) ).
fof(f4558,plain,
( ~ spl191_53
| ~ spl191_281 ),
inference(avatar_contradiction_clause,[],[f4557]) ).
fof(f4577,plain,
( e1 = e3
| ~ spl191_55
| ~ spl191_284 ),
inference(superposition,[],[f1974,f3071]) ).
fof(f4579,plain,
( e1 != e1
| ~ spl191_55
| ~ spl191_284 ),
inference(superposition,[],[f394,f4577]) ).
fof(f4625,plain,
( $false
| ~ spl191_55
| ~ spl191_284 ),
inference(trivial_inequality_removal,[],[f4579]) ).
fof(f4626,plain,
( ~ spl191_55
| ~ spl191_284 ),
inference(avatar_contradiction_clause,[],[f4625]) ).
fof(f4645,plain,
( e1 = e2
| ~ spl191_57
| ~ spl191_315 ),
inference(superposition,[],[f1982,f3233]) ).
fof(f4646,plain,
( e1 != e1
| ~ spl191_57
| ~ spl191_315 ),
inference(superposition,[],[f395,f4645]) ).
fof(f4692,plain,
( $false
| ~ spl191_57
| ~ spl191_315 ),
inference(trivial_inequality_removal,[],[f4646]) ).
fof(f4693,plain,
( ~ spl191_57
| ~ spl191_315 ),
inference(avatar_contradiction_clause,[],[f4692]) ).
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_89 ),
inference(sat_conversion,[],[f2115]) ).
cnf(s139,plain,
( spl191_101
| ~ spl191_247 ),
inference(sat_conversion,[],[f2886]) ).
cnf(s140,plain,
( ~ spl191_160
| spl191_248
| ~ spl191_249 ),
inference(sat_conversion,[],[f2891]) ).
cnf(s143,plain,
( spl191_207
| ~ spl191_250 ),
inference(sat_conversion,[],[f2898]) ).
cnf(s144,plain,
( spl191_248
| spl191_251
| ~ spl191_252 ),
inference(sat_conversion,[],[f2907]) ).
cnf(s145,plain,
( spl191_251
| spl191_252 ),
inference(sat_conversion,[],[f2908]) ).
cnf(s147,plain,
( ~ spl191_253
| spl191_255 ),
inference(sat_conversion,[],[f2922]) ).
cnf(s149,plain,
( spl191_114
| ~ spl191_256 ),
inference(sat_conversion,[],[f2928]) ).
cnf(s151,plain,
( spl191_171
| ~ spl191_257 ),
inference(sat_conversion,[],[f2934]) ).
cnf(s152,plain,
( ~ spl191_218
| spl191_248
| spl191_258 ),
inference(sat_conversion,[],[f2939]) ).
cnf(s154,plain,
( spl191_248
| ~ spl191_259
| ~ spl191_260 ),
inference(sat_conversion,[],[f2949]) ).
cnf(s155,plain,
( ~ spl191_259
| spl191_260 ),
inference(sat_conversion,[],[f2950]) ).
cnf(s157,plain,
( spl191_261
| spl191_263 ),
inference(sat_conversion,[],[f2964]) ).
cnf(s158,plain,
( ~ spl191_129
| spl191_248
| ~ spl191_264 ),
inference(sat_conversion,[],[f2969]) ).
cnf(s161,plain,
( spl191_182
| spl191_265 ),
inference(sat_conversion,[],[f2976]) ).
cnf(s163,plain,
( spl191_227
| ~ spl191_266 ),
inference(sat_conversion,[],[f2982]) ).
cnf(s164,plain,
( spl191_248
| ~ spl191_267
| ~ spl191_268 ),
inference(sat_conversion,[],[f2991]) ).
cnf(s165,plain,
( ~ spl191_267
| spl191_268 ),
inference(sat_conversion,[],[f2992]) ).
cnf(s167,plain,
( ~ spl191_269
| spl191_271 ),
inference(sat_conversion,[],[f3006]) ).
cnf(s169,plain,
( spl191_142
| spl191_272 ),
inference(sat_conversion,[],[f3012]) ).
cnf(s171,plain,
( spl191_194
| ~ spl191_273 ),
inference(sat_conversion,[],[f3018]) ).
cnf(s173,plain,
( spl191_236
| ~ spl191_274 ),
inference(sat_conversion,[],[f3024]) ).
cnf(s174,plain,
( spl191_248
| ~ spl191_275
| ~ spl191_276 ),
inference(sat_conversion,[],[f3033]) ).
cnf(s175,plain,
( ~ spl191_275
| spl191_276 ),
inference(sat_conversion,[],[f3034]) ).
cnf(s176,plain,
( spl191_248
| spl191_277
| ~ spl191_278 ),
inference(sat_conversion,[],[f3043]) ).
cnf(s179,plain,
( ~ spl191_279
| spl191_281 ),
inference(sat_conversion,[],[f3058]) ).
cnf(s181,plain,
( spl191_282
| spl191_284 ),
inference(sat_conversion,[],[f3072]) ).
cnf(s233,plain,
( ~ spl191_59
| spl191_89
| spl191_247
| spl191_248
| spl191_249
| spl191_250
| ~ spl191_251
| spl191_253
| spl191_256
| spl191_257
| ~ spl191_258
| spl191_259
| ~ spl191_261
| spl191_264
| ~ spl191_265
| spl191_266
| spl191_267
| spl191_269
| ~ spl191_272
| spl191_273
| spl191_274
| spl191_275
| ~ spl191_277
| spl191_279
| ~ spl191_282
| spl191_315
| spl191_320 ),
inference(sat_conversion,[],[f3268]) ).
cnf(s241,plain,
( ~ spl191_1
| ~ spl191_53 ),
inference(sat_conversion,[],[f3276]) ).
cnf(s246,plain,
( ~ spl191_2
| ~ spl191_52 ),
inference(sat_conversion,[],[f3281]) ).
cnf(s250,plain,
( spl191_3
| ~ spl191_136 ),
inference(sat_conversion,[],[f3285]) ).
cnf(s255,plain,
( spl191_4
| ~ spl191_160 ),
inference(sat_conversion,[],[f3290]) ).
cnf(s257,plain,
( ~ spl191_5
| ~ spl191_98 ),
inference(sat_conversion,[],[f3292]) ).
cnf(s262,plain,
( ~ spl191_6
| ~ spl191_98 ),
inference(sat_conversion,[],[f3297]) ).
cnf(s269,plain,
( spl191_7
| ~ spl191_128 ),
inference(sat_conversion,[],[f3304]) ).
cnf(s273,plain,
( ~ spl191_8
| ~ spl191_159 ),
inference(sat_conversion,[],[f3308]) ).
cnf(s278,plain,
( spl191_9
| ~ spl191_117 ),
inference(sat_conversion,[],[f3313]) ).
cnf(s284,plain,
( spl191_10
| ~ spl191_210 ),
inference(sat_conversion,[],[f3319]) ).
cnf(s288,plain,
( spl191_11
| ~ spl191_109 ),
inference(sat_conversion,[],[f3323]) ).
cnf(s293,plain,
( spl191_12
| ~ spl191_109 ),
inference(sat_conversion,[],[f3328]) ).
cnf(s301,plain,
( ~ spl191_13
| ~ spl191_55 ),
inference(sat_conversion,[],[f3336]) ).
cnf(s306,plain,
( spl191_14
| ~ spl191_54 ),
inference(sat_conversion,[],[f3341]) ).
cnf(s310,plain,
( ~ spl191_15
| ~ spl191_191 ),
inference(sat_conversion,[],[f3345]) ).
cnf(s315,plain,
( ~ spl191_16
| ~ spl191_218 ),
inference(sat_conversion,[],[f3350]) ).
cnf(s317,plain,
( spl191_17
| ~ spl191_159 ),
inference(sat_conversion,[],[f3352]) ).
cnf(s324,plain,
( ~ spl191_18
| ~ spl191_217 ),
inference(sat_conversion,[],[f3359]) ).
cnf(s329,plain,
( ~ spl191_19
| ~ spl191_185 ),
inference(sat_conversion,[],[f3364]) ).
cnf(s332,plain,
( spl191_20
| ~ spl191_117 ),
inference(sat_conversion,[],[f3367]) ).
cnf(s340,plain,
( ~ spl191_21
| ~ spl191_140 ),
inference(sat_conversion,[],[f3375]) ).
cnf(s345,plain,
( spl191_22
| ~ spl191_129 ),
inference(sat_conversion,[],[f3380]) ).
cnf(s349,plain,
( ~ spl191_23
| ~ spl191_180 ),
inference(sat_conversion,[],[f3384]) ).
cnf(s354,plain,
( spl191_24
| ~ spl191_180 ),
inference(sat_conversion,[],[f3389]) ).
cnf(s361,plain,
( ~ spl191_25
| ~ spl191_57 ),
inference(sat_conversion,[],[f3396]) ).
cnf(s366,plain,
( spl191_26
| ~ spl191_56 ),
inference(sat_conversion,[],[f3401]) ).
cnf(s368,plain,
( spl191_27
| ~ spl191_217 ),
inference(sat_conversion,[],[f3403]) ).
cnf(s372,plain,
( spl191_28
| ~ spl191_128 ),
inference(sat_conversion,[],[f3407]) ).
cnf(s377,plain,
( ~ spl191_29
| ~ spl191_210 ),
inference(sat_conversion,[],[f3412]) ).
cnf(s383,plain,
( spl191_30
| ~ spl191_185 ),
inference(sat_conversion,[],[f3418]) ).
cnf(s389,plain,
( spl191_31
| ~ spl191_129 ),
inference(sat_conversion,[],[f3424]) ).
cnf(s394,plain,
( spl191_32
| ~ spl191_140 ),
inference(sat_conversion,[],[f3429]) ).
cnf(s397,plain,
( spl191_33
| ~ spl191_160 ),
inference(sat_conversion,[],[f3432]) ).
cnf(s402,plain,
( ~ spl191_34
| ~ spl191_136 ),
inference(sat_conversion,[],[f3437]) ).
cnf(s408,plain,
( spl191_35
| ~ spl191_218 ),
inference(sat_conversion,[],[f3443]) ).
cnf(s413,plain,
( spl191_36
| ~ spl191_191 ),
inference(sat_conversion,[],[f3448]) ).
cnf(s421,plain,
( ~ spl191_37
| ~ spl191_59 ),
inference(sat_conversion,[],[f3456]) ).
cnf(s426,plain,
( ~ spl191_38
| ~ spl191_58 ),
inference(sat_conversion,[],[f3461]) ).
cnf(s430,plain,
( spl191_39
| ~ spl191_278 ),
inference(sat_conversion,[],[f3465]) ).
cnf(s435,plain,
( spl191_40
| ~ spl191_278 ),
inference(sat_conversion,[],[f3470]) ).
cnf(s437,plain,
( ~ spl191_41
| ~ spl191_52 ),
inference(sat_conversion,[],[f3472]) ).
cnf(s442,plain,
( ~ spl191_42
| ~ spl191_53 ),
inference(sat_conversion,[],[f3477]) ).
cnf(s448,plain,
( ~ spl191_43
| ~ spl191_54 ),
inference(sat_conversion,[],[f3483]) ).
cnf(s453,plain,
( spl191_44
| ~ spl191_55 ),
inference(sat_conversion,[],[f3488]) ).
cnf(s459,plain,
( spl191_45
| ~ spl191_56 ),
inference(sat_conversion,[],[f3494]) ).
cnf(s464,plain,
( ~ spl191_46
| ~ spl191_57 ),
inference(sat_conversion,[],[f3499]) ).
cnf(s470,plain,
( spl191_47
| ~ spl191_58 ),
inference(sat_conversion,[],[f3505]) ).
cnf(s475,plain,
( ~ spl191_48
| ~ spl191_59 ),
inference(sat_conversion,[],[f3510]) ).
cnf(s481,plain,
( ~ spl191_49
| ~ spl191_60 ),
inference(sat_conversion,[],[f3516]) ).
cnf(s486,plain,
( ~ spl191_50
| ~ spl191_60 ),
inference(sat_conversion,[],[f3521]) ).
cnf(s491,plain,
spl191_51,
inference(sat_conversion,[],[f3526]) ).
cnf(s494,plain,
( spl191_61
| ~ spl191_98 ),
inference(sat_conversion,[],[f3529]) ).
cnf(s500,plain,
( spl191_62
| ~ spl191_159 ),
inference(sat_conversion,[],[f3535]) ).
cnf(s506,plain,
( ~ spl191_63
| ~ spl191_210 ),
inference(sat_conversion,[],[f3541]) ).
cnf(s508,plain,
( ~ spl191_64
| ~ spl191_160 ),
inference(sat_conversion,[],[f3543]) ).
cnf(s512,plain,
( ~ spl191_52
| ~ spl191_65 ),
inference(sat_conversion,[],[f3547]) ).
cnf(s521,plain,
( spl191_66
| ~ spl191_117 ),
inference(sat_conversion,[],[f3556]) ).
cnf(s522,plain,
( ~ spl191_67
| ~ spl191_109 ),
inference(sat_conversion,[],[f3557]) ).
cnf(s530,plain,
( ~ spl191_68
| ~ spl191_217 ),
inference(sat_conversion,[],[f3565]) ).
cnf(s534,plain,
( spl191_69
| ~ spl191_218 ),
inference(sat_conversion,[],[f3569]) ).
cnf(s538,plain,
( ~ spl191_54
| spl191_70 ),
inference(sat_conversion,[],[f3573]) ).
cnf(s545,plain,
( spl191_71
| ~ spl191_128 ),
inference(sat_conversion,[],[f3580]) ).
cnf(s551,plain,
( spl191_72
| ~ spl191_185 ),
inference(sat_conversion,[],[f3586]) ).
cnf(s553,plain,
( ~ spl191_73
| ~ spl191_180 ),
inference(sat_conversion,[],[f3588]) ).
cnf(s557,plain,
( ~ spl191_74
| ~ spl191_129 ),
inference(sat_conversion,[],[f3592]) ).
cnf(s564,plain,
( ~ spl191_56
| ~ spl191_75 ),
inference(sat_conversion,[],[f3599]) ).
cnf(s568,plain,
( ~ spl191_76
| ~ spl191_136 ),
inference(sat_conversion,[],[f3603]) ).
cnf(s574,plain,
( spl191_77
| ~ spl191_191 ),
inference(sat_conversion,[],[f3609]) ).
cnf(s577,plain,
( spl191_78
| ~ spl191_140 ),
inference(sat_conversion,[],[f3612]) ).
cnf(s586,plain,
( ~ spl191_79
| ~ spl191_278 ),
inference(sat_conversion,[],[f3621]) ).
cnf(s590,plain,
( ~ spl191_58
| ~ spl191_80 ),
inference(sat_conversion,[],[f3625]) ).
cnf(s592,plain,
( ~ spl191_53
| spl191_81 ),
inference(sat_conversion,[],[f3627]) ).
cnf(s598,plain,
( ~ spl191_55
| ~ spl191_82 ),
inference(sat_conversion,[],[f3633]) ).
cnf(s604,plain,
( ~ spl191_57
| spl191_83 ),
inference(sat_conversion,[],[f3639]) ).
cnf(s610,plain,
( ~ spl191_59
| ~ spl191_84 ),
inference(sat_conversion,[],[f3645]) ).
cnf(s616,plain,
( ~ spl191_60
| ~ spl191_85 ),
inference(sat_conversion,[],[f3651]) ).
cnf(s617,plain,
spl191_98,
inference(sat_conversion,[],[f3652]) ).
cnf(s618,plain,
spl191_159,
inference(sat_conversion,[],[f3653]) ).
cnf(s619,plain,
spl191_210,
inference(sat_conversion,[],[f3654]) ).
cnf(s620,plain,
spl191_160,
inference(sat_conversion,[],[f3655]) ).
cnf(s621,plain,
spl191_52,
inference(sat_conversion,[],[f3656]) ).
cnf(s622,plain,
spl191_117,
inference(sat_conversion,[],[f3657]) ).
cnf(s623,plain,
spl191_109,
inference(sat_conversion,[],[f3658]) ).
cnf(s624,plain,
spl191_217,
inference(sat_conversion,[],[f3659]) ).
cnf(s625,plain,
spl191_218,
inference(sat_conversion,[],[f3660]) ).
cnf(s626,plain,
spl191_54,
inference(sat_conversion,[],[f3661]) ).
cnf(s627,plain,
spl191_128,
inference(sat_conversion,[],[f3662]) ).
cnf(s628,plain,
spl191_185,
inference(sat_conversion,[],[f3663]) ).
cnf(s629,plain,
spl191_180,
inference(sat_conversion,[],[f3664]) ).
cnf(s630,plain,
spl191_129,
inference(sat_conversion,[],[f3665]) ).
cnf(s631,plain,
spl191_56,
inference(sat_conversion,[],[f3666]) ).
cnf(s632,plain,
spl191_136,
inference(sat_conversion,[],[f3667]) ).
cnf(s633,plain,
spl191_191,
inference(sat_conversion,[],[f3668]) ).
cnf(s634,plain,
spl191_140,
inference(sat_conversion,[],[f3669]) ).
cnf(s635,plain,
spl191_278,
inference(sat_conversion,[],[f3670]) ).
cnf(s636,plain,
spl191_58,
inference(sat_conversion,[],[f3671]) ).
cnf(s637,plain,
spl191_53,
inference(sat_conversion,[],[f3672]) ).
cnf(s638,plain,
spl191_55,
inference(sat_conversion,[],[f3673]) ).
cnf(s639,plain,
spl191_57,
inference(sat_conversion,[],[f3674]) ).
cnf(s640,plain,
spl191_59,
inference(sat_conversion,[],[f3675]) ).
cnf(s641,plain,
spl191_60,
inference(sat_conversion,[],[f3676]) ).
cnf(s642,plain,
~ spl191_92,
inference(sat_conversion,[],[f3677]) ).
cnf(s645,plain,
~ spl191_248,
inference(sat_conversion,[],[f3680]) ).
cnf(s648,plain,
( ~ spl191_122
| ~ spl191_128 ),
inference(sat_conversion,[],[f3718]) ).
cnf(s657,plain,
( ~ spl191_136
| ~ spl191_142 ),
inference(sat_conversion,[],[f3757]) ).
cnf(s678,plain,
( ~ spl191_182
| ~ spl191_185
| spl191_248 ),
inference(sat_conversion,[],[f3854]) ).
cnf(s682,plain,
( spl191_92
| ~ spl191_140
| ~ spl191_239 ),
inference(sat_conversion,[],[f3893]) ).
cnf(s686,plain,
( ~ spl191_60
| spl191_248
| ~ spl191_320 ),
inference(sat_conversion,[],[f3941]) ).
cnf(s702,plain,
( ~ spl191_98
| ~ spl191_101
| spl191_122
| ~ spl191_136 ),
inference(sat_conversion,[],[f4008]) ).
cnf(s703,plain,
( ~ spl191_207
| ~ spl191_210
| spl191_248 ),
inference(sat_conversion,[],[f4015]) ).
cnf(s706,plain,
( ~ spl191_52
| ~ spl191_59
| ~ spl191_255
| spl191_281 ),
inference(sat_conversion,[],[f4072]) ).
cnf(s719,plain,
( ~ spl191_114
| ~ spl191_117
| spl191_248 ),
inference(sat_conversion,[],[f4090]) ).
cnf(s722,plain,
( ~ spl191_59
| ~ spl191_109
| ~ spl191_171
| spl191_281 ),
inference(sat_conversion,[],[f4146]) ).
cnf(s736,plain,
( ~ spl191_54
| ~ spl191_59
| ~ spl191_263
| spl191_284 ),
inference(sat_conversion,[],[f4216]) ).
cnf(s750,plain,
( ~ spl191_59
| ~ spl191_180
| ~ spl191_227
| spl191_284 ),
inference(sat_conversion,[],[f4282]) ).
cnf(s766,plain,
( ~ spl191_56
| spl191_239
| ~ spl191_271
| ~ spl191_278 ),
inference(sat_conversion,[],[f4352]) ).
cnf(s780,plain,
( ~ spl191_191
| ~ spl191_194
| spl191_239
| ~ spl191_278 ),
inference(sat_conversion,[],[f4417]) ).
cnf(s796,plain,
( ~ spl191_59
| ~ spl191_140
| ~ spl191_236
| spl191_281 ),
inference(sat_conversion,[],[f4486]) ).
cnf(s814,plain,
( ~ spl191_53
| ~ spl191_281 ),
inference(sat_conversion,[],[f4558]) ).
cnf(s828,plain,
( ~ spl191_55
| ~ spl191_284 ),
inference(sat_conversion,[],[f4626]) ).
cnf(s842,plain,
( ~ spl191_57
| ~ spl191_315 ),
inference(sat_conversion,[],[f4693]) ).
cnf(s856,plain,
~ spl191_320,
inference(rat,[],[s686,s645,s641]) ).
cnf(s857,plain,
~ spl191_315,
inference(rat,[],[s842,s639]) ).
cnf(s858,plain,
~ spl191_284,
inference(rat,[],[s828,s638]) ).
cnf(s859,plain,
~ spl191_281,
inference(rat,[],[s814,s637]) ).
cnf(s861,plain,
~ spl191_236,
inference(rat,[],[s796,s859,s640,s634]) ).
cnf(s862,plain,
~ spl191_239,
inference(rat,[],[s682,s642,s634]) ).
cnf(s863,plain,
~ spl191_194,
inference(rat,[],[s780,s635,s862,s633]) ).
cnf(s864,plain,
~ spl191_142,
inference(rat,[],[s657,s632]) ).
cnf(s865,plain,
~ spl191_271,
inference(rat,[],[s766,s635,s862,s631]) ).
cnf(s866,plain,
~ spl191_227,
inference(rat,[],[s750,s858,s640,s629]) ).
cnf(s868,plain,
~ spl191_182,
inference(rat,[],[s678,s645,s628]) ).
cnf(s870,plain,
~ spl191_122,
inference(rat,[],[s648,s627]) ).
cnf(s871,plain,
~ spl191_263,
inference(rat,[],[s736,s858,s640,s626]) ).
cnf(s872,plain,
~ spl191_171,
inference(rat,[],[s722,s859,s640,s623]) ).
cnf(s873,plain,
~ spl191_114,
inference(rat,[],[s719,s645,s622]) ).
cnf(s874,plain,
~ spl191_255,
inference(rat,[],[s706,s859,s640,s621]) ).
cnf(s876,plain,
~ spl191_207,
inference(rat,[],[s703,s645,s619]) ).
cnf(s878,plain,
~ spl191_101,
inference(rat,[],[s702,s632,s870,s617]) ).
cnf(s880,plain,
~ spl191_85,
inference(rat,[],[s616,s641]) ).
cnf(s881,plain,
~ spl191_84,
inference(rat,[],[s610,s640]) ).
cnf(s882,plain,
spl191_83,
inference(rat,[],[s604,s639]) ).
cnf(s883,plain,
~ spl191_82,
inference(rat,[],[s598,s638]) ).
cnf(s884,plain,
spl191_81,
inference(rat,[],[s592,s637]) ).
cnf(s885,plain,
~ spl191_80,
inference(rat,[],[s590,s636]) ).
cnf(s886,plain,
~ spl191_79,
inference(rat,[],[s586,s635]) ).
cnf(s887,plain,
spl191_78,
inference(rat,[],[s577,s634]) ).
cnf(s888,plain,
spl191_77,
inference(rat,[],[s574,s633]) ).
cnf(s889,plain,
~ spl191_76,
inference(rat,[],[s568,s632]) ).
cnf(s890,plain,
~ spl191_75,
inference(rat,[],[s564,s631]) ).
cnf(s891,plain,
~ spl191_74,
inference(rat,[],[s557,s630]) ).
cnf(s892,plain,
~ spl191_73,
inference(rat,[],[s553,s629]) ).
cnf(s893,plain,
spl191_72,
inference(rat,[],[s551,s628]) ).
cnf(s894,plain,
spl191_71,
inference(rat,[],[s545,s627]) ).
cnf(s895,plain,
spl191_70,
inference(rat,[],[s538,s626]) ).
cnf(s896,plain,
spl191_69,
inference(rat,[],[s534,s625]) ).
cnf(s897,plain,
~ spl191_68,
inference(rat,[],[s530,s624]) ).
cnf(s898,plain,
~ spl191_67,
inference(rat,[],[s522,s623]) ).
cnf(s899,plain,
spl191_66,
inference(rat,[],[s521,s622]) ).
cnf(s900,plain,
~ spl191_65,
inference(rat,[],[s512,s621]) ).
cnf(s901,plain,
~ spl191_64,
inference(rat,[],[s508,s620]) ).
cnf(s902,plain,
~ spl191_63,
inference(rat,[],[s506,s619]) ).
cnf(s903,plain,
spl191_62,
inference(rat,[],[s500,s618]) ).
cnf(s904,plain,
spl191_61,
inference(rat,[],[s494,s617]) ).
cnf(s905,plain,
~ spl191_50,
inference(rat,[],[s486,s641]) ).
cnf(s906,plain,
~ spl191_49,
inference(rat,[],[s481,s641]) ).
cnf(s907,plain,
~ spl191_48,
inference(rat,[],[s475,s640]) ).
cnf(s908,plain,
spl191_47,
inference(rat,[],[s470,s636]) ).
cnf(s909,plain,
~ spl191_46,
inference(rat,[],[s464,s639]) ).
cnf(s910,plain,
spl191_45,
inference(rat,[],[s459,s631]) ).
cnf(s911,plain,
spl191_44,
inference(rat,[],[s453,s638]) ).
cnf(s912,plain,
~ spl191_43,
inference(rat,[],[s448,s626]) ).
cnf(s913,plain,
~ spl191_42,
inference(rat,[],[s442,s637]) ).
cnf(s914,plain,
~ spl191_41,
inference(rat,[],[s437,s621]) ).
cnf(s915,plain,
spl191_40,
inference(rat,[],[s435,s635]) ).
cnf(s916,plain,
spl191_39,
inference(rat,[],[s430,s635]) ).
cnf(s917,plain,
~ spl191_38,
inference(rat,[],[s426,s636]) ).
cnf(s918,plain,
~ spl191_37,
inference(rat,[],[s421,s640]) ).
cnf(s919,plain,
spl191_36,
inference(rat,[],[s413,s633]) ).
cnf(s920,plain,
spl191_35,
inference(rat,[],[s408,s625]) ).
cnf(s921,plain,
~ spl191_34,
inference(rat,[],[s402,s632]) ).
cnf(s922,plain,
spl191_33,
inference(rat,[],[s397,s620]) ).
cnf(s923,plain,
spl191_32,
inference(rat,[],[s394,s634]) ).
cnf(s924,plain,
spl191_31,
inference(rat,[],[s389,s630]) ).
cnf(s925,plain,
spl191_30,
inference(rat,[],[s383,s628]) ).
cnf(s926,plain,
~ spl191_29,
inference(rat,[],[s377,s619]) ).
cnf(s927,plain,
spl191_28,
inference(rat,[],[s372,s627]) ).
cnf(s928,plain,
spl191_27,
inference(rat,[],[s368,s624]) ).
cnf(s929,plain,
spl191_26,
inference(rat,[],[s366,s631]) ).
cnf(s930,plain,
~ spl191_25,
inference(rat,[],[s361,s639]) ).
cnf(s931,plain,
spl191_24,
inference(rat,[],[s354,s629]) ).
cnf(s932,plain,
~ spl191_23,
inference(rat,[],[s349,s629]) ).
cnf(s933,plain,
spl191_22,
inference(rat,[],[s345,s630]) ).
cnf(s934,plain,
~ spl191_21,
inference(rat,[],[s340,s634]) ).
cnf(s935,plain,
spl191_20,
inference(rat,[],[s332,s622]) ).
cnf(s936,plain,
~ spl191_19,
inference(rat,[],[s329,s628]) ).
cnf(s937,plain,
~ spl191_18,
inference(rat,[],[s324,s624]) ).
cnf(s938,plain,
spl191_17,
inference(rat,[],[s317,s618]) ).
cnf(s939,plain,
~ spl191_16,
inference(rat,[],[s315,s625]) ).
cnf(s940,plain,
~ spl191_15,
inference(rat,[],[s310,s633]) ).
cnf(s941,plain,
spl191_14,
inference(rat,[],[s306,s626]) ).
cnf(s942,plain,
~ spl191_13,
inference(rat,[],[s301,s638]) ).
cnf(s943,plain,
spl191_12,
inference(rat,[],[s293,s623]) ).
cnf(s944,plain,
spl191_11,
inference(rat,[],[s288,s623]) ).
cnf(s945,plain,
spl191_10,
inference(rat,[],[s284,s619]) ).
cnf(s946,plain,
spl191_9,
inference(rat,[],[s278,s622]) ).
cnf(s947,plain,
~ spl191_8,
inference(rat,[],[s273,s618]) ).
cnf(s948,plain,
spl191_7,
inference(rat,[],[s269,s627]) ).
cnf(s949,plain,
~ spl191_6,
inference(rat,[],[s262,s617]) ).
cnf(s950,plain,
~ spl191_5,
inference(rat,[],[s257,s617]) ).
cnf(s951,plain,
spl191_4,
inference(rat,[],[s255,s620]) ).
cnf(s952,plain,
spl191_3,
inference(rat,[],[s250,s632]) ).
cnf(s953,plain,
~ spl191_2,
inference(rat,[],[s246,s621]) ).
cnf(s954,plain,
~ spl191_1,
inference(rat,[],[s241,s637]) ).
cnf(s955,plain,
( spl191_89
| spl191_247
| spl191_249
| spl191_250
| ~ spl191_251
| spl191_253
| spl191_256
| spl191_257
| ~ spl191_258
| spl191_259
| ~ spl191_261
| spl191_264
| ~ spl191_265
| spl191_266
| spl191_267
| spl191_269
| ~ spl191_272
| spl191_273
| spl191_274
| spl191_275
| ~ spl191_277
| spl191_279
| ~ spl191_282 ),
inference(rat,[],[s233,s856,s857,s645,s640]) ).
cnf(s972,plain,
spl191_282,
inference(rat,[],[s181,s858]) ).
cnf(s973,plain,
~ spl191_279,
inference(rat,[],[s179,s859]) ).
cnf(s974,plain,
spl191_277,
inference(rat,[],[s176,s635,s645]) ).
cnf(s975,plain,
( ~ spl191_275
| ~ spl191_276 ),
inference(rat,[],[s174,s645]) ).
cnf(s976,plain,
~ spl191_274,
inference(rat,[],[s173,s861]) ).
cnf(s977,plain,
~ spl191_273,
inference(rat,[],[s171,s863]) ).
cnf(s978,plain,
spl191_272,
inference(rat,[],[s169,s864]) ).
cnf(s979,plain,
~ spl191_269,
inference(rat,[],[s167,s865]) ).
cnf(s980,plain,
( ~ spl191_267
| ~ spl191_268 ),
inference(rat,[],[s164,s645]) ).
cnf(s981,plain,
~ spl191_266,
inference(rat,[],[s163,s866]) ).
cnf(s982,plain,
spl191_265,
inference(rat,[],[s161,s868]) ).
cnf(s983,plain,
~ spl191_264,
inference(rat,[],[s158,s645,s630]) ).
cnf(s984,plain,
spl191_261,
inference(rat,[],[s157,s871]) ).
cnf(s985,plain,
( ~ spl191_259
| ~ spl191_260 ),
inference(rat,[],[s154,s645]) ).
cnf(s986,plain,
spl191_258,
inference(rat,[],[s152,s645,s625]) ).
cnf(s987,plain,
~ spl191_257,
inference(rat,[],[s151,s872]) ).
cnf(s988,plain,
~ spl191_256,
inference(rat,[],[s149,s873]) ).
cnf(s989,plain,
~ spl191_253,
inference(rat,[],[s147,s874]) ).
cnf(s990,plain,
( spl191_251
| ~ spl191_252 ),
inference(rat,[],[s144,s645]) ).
cnf(s991,plain,
~ spl191_250,
inference(rat,[],[s143,s876]) ).
cnf(s992,plain,
~ spl191_249,
inference(rat,[],[s140,s645,s620]) ).
cnf(s993,plain,
~ spl191_247,
inference(rat,[],[s139,s878]) ).
cnf(s1045,plain,
~ spl191_89,
inference(rat,[],[s4,s880,s881,s882,s883,s884,s885,s886,s887,s888,s889,s890,s891,s892,s893,s894,s895,s896,s897,s898,s899,s900,s901,s902,s903,s904,s641,s640,s636,s639,s631,s638,s626,s637,s621,s491,s905,s906,s907,s908,s909,s910,s911,s912,s913,s914,s915,s916,s917,s918,s919,s920,s921,s922,s923,s924,s925,s926,s927,s928,s929,s930,s931,s932,s933,s934,s935,s936,s937,s938,s939,s940,s941,s942,s943,s944,s945,s946,s947,s948,s949,s950,s951,s952,s953,s954]) ).
cnf(s1056,plain,
spl191_251,
inference(rat,[],[s990,s145]) ).
cnf(s1057,plain,
~ spl191_275,
inference(rat,[],[s975,s175]) ).
cnf(s1058,plain,
~ spl191_267,
inference(rat,[],[s980,s165]) ).
cnf(s1059,plain,
spl191_259,
inference(rat,[],[s955,s972,s973,s974,s1056,s976,s977,s978,s979,s1057,s981,s982,s983,s984,s1045,s986,s987,s988,s989,s993,s991,s992,s1058]) ).
cnf(s1060,plain,
spl191_260,
inference(rat,[],[s155,s1059]) ).
cnf(s1061,plain,
$false,
inference(rat,[],[s985,s1060,s1059]) ).
fof(f4707,plain,
$false,
inference(avatar_sat_refutation,[],[s1061]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG093+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.17 % Computer : n017.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Mon Sep 28 19:21:21 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 Running first-order model finding
% 0.09/0.21 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.29 % (3920943)Will run a generic schedule for satisfiability detection.
% 0.09/0.29 % (3920954)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3027140525:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.29 % (3920949)% WARNING: option uhcvi not known.
% 0.09/0.29 % (3920952)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3424336718:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.29 % (3920953)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3970151920:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.29 % (3920949)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2818604222:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.29 % (3920948)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1772312434_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.29 % (3920951)dis+10_1_sil=32000:sp=arity:random_seed=2767842590:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.29 % (3920954) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3920943-3920954"...
% 0.09/0.29 % (3920950)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=165206860:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.29 % (3920954)...printing done.
% 0.09/0.29 % (3920954)Refutation found. Thanks to Tanya!
% 0.09/0.29 % SZS status Theorem for theBenchmark
% 0.09/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.31 % (3920954)------------------------------
% 0.09/0.31 % (3920954)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.31 % (3920954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.31 % (3920954)CaDiCaL version: 2.1.3
% 0.09/0.31 % (3920954)Termination reason: Refutation
% 0.09/0.31 % (3920954)Time elapsed: 0.049 s
% 0.09/0.31 % (3920954)Peak memory usage: 14 MB
% 0.09/0.31 % (3920954)Instructions burned: 105 (million)
% 0.09/0.31 % (3920943)Success in time 0.082 s
% 0.09/0.31 % Vampire exiting
%------------------------------------------------------------------------------