%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG143+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 : Thu Sep 24 11:48:36 AM UTC 2026
% Result : Unsatisfiable 3.72s 1.04s
% Output : CNFRefutation 3.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 258
% Syntax : Number of formulae : 2015 ( 55 unt; 235 def)
% Number of atoms : 14659 (10700 equ)
% Maximal formula atoms : 288 ( 7 avg)
% Number of connectives : 15666 (3022 ~;5405 |;6940 &)
% ( 299 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 72 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 237 ( 235 usr; 236 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 )
& ( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 )
& ( op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 )
& ( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 )
& ( op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 )
& ( op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 )
& ( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 )
& ( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 )
& ( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 )
& ( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 )
& ( op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 )
& ( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 )
& ( op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 )
& ( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 )
& ( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 )
& ( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
( ( op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 )
& ( op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 )
& ( op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 )
& ( op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 )
& ( op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 )
& ( op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 )
& ( op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 )
& ( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 )
& ( op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 )
& ( op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 )
& ( op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 )
& ( op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 )
& ( op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 )
& ( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 )
& ( op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 )
& ( op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 )
& ( op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 )
& ( op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 )
& ( op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 )
& ( op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 )
& ( op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 )
& ( op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 )
& ( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 )
& ( op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 )
& ( op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 )
& ( op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 )
& ( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 )
& ( op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 )
& ( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 )
& ( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 )
& ( op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 )
& ( op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
( op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( e2 != e3
& e1 != e3
& e1 != e2
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( ( ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) )
& ( ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0 ) )
& ( op(e3,e3) = e3
| op(e2,e3) = e2
| op(e1,e3) = e1
| op(e0,e3) = e0 )
& ( op(e3,e2) = e3
| op(e2,e2) = e2
| op(e1,e2) = e1
| op(e0,e2) = e0 )
& ( op(e3,e1) = e3
| op(e2,e1) = e2
| op(e1,e1) = e1
| op(e0,e1) = e0 )
& ( op(e3,e0) = e3
| op(e2,e0) = e2
| op(e1,e0) = e1
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
~ ( e3 = op(op(e1,e1),e1)
& e2 = op(op(op(e1,e1),e1),op(e1,e1))
& e0 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
~ ( e2 = op(op(e1,e1),e1)
& e3 = op(op(op(e1,e1),e1),op(e1,e1))
& e0 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
~ ( e3 = op(op(e2,e2),e2)
& e1 = op(op(op(e2,e2),e2),op(e2,e2))
& e0 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
~ ( e1 = op(op(e2,e2),e2)
& e3 = op(op(op(e2,e2),e2),op(e2,e2))
& e0 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
~ ( e2 = op(op(e3,e3),e3)
& e1 = op(op(op(e3,e3),e3),op(e3,e3))
& e0 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
~ ( e1 = op(op(e3,e3),e3)
& e2 = op(op(op(e3,e3),e3),op(e3,e3))
& e0 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
~ ( e3 = op(op(e0,e0),e0)
& e2 = op(op(op(e0,e0),e0),op(e0,e0))
& e1 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
~ ( e3 = op(op(e2,e2),e2)
& e0 = op(op(op(e2,e2),e2),op(e2,e2))
& e1 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
~ ( e2 = op(op(e3,e3),e3)
& e0 = op(op(op(e3,e3),e3),op(e3,e3))
& e1 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
~ ( e0 = op(op(e3,e3),e3)
& e2 = op(op(op(e3,e3),e3),op(e3,e3))
& e1 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
~ ( e3 = op(op(e0,e0),e0)
& e1 = op(op(op(e0,e0),e0),op(e0,e0))
& e2 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
~ ( e1 = op(op(e0,e0),e0)
& e3 = op(op(op(e0,e0),e0),op(e0,e0))
& e2 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
~ ( e3 = op(op(e1,e1),e1)
& e0 = op(op(op(e1,e1),e1),op(e1,e1))
& e2 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
~ ( e1 = op(op(e3,e3),e3)
& e0 = op(op(op(e3,e3),e3),op(e3,e3))
& e2 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
~ ( e2 = op(op(e0,e0),e0)
& e1 = op(op(op(e0,e0),e0),op(e0,e0))
& e3 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
~ ( e2 = op(op(e1,e1),e1)
& e0 = op(op(op(e1,e1),e1),op(e1,e1))
& e3 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
~ ( e1 = op(op(e2,e2),e2)
& e0 = op(op(op(e2,e2),e2),op(e2,e2))
& e3 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
~ ( e0 = op(op(e2,e2),e2)
& e1 = op(op(op(e2,e2),e2),op(e2,e2))
& e3 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,plain,
( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f31,plain,
( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f32,plain,
( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f33,plain,
( op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f34,plain,
( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f35,plain,
( op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f36,plain,
( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f37,plain,
( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f38,plain,
( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f39,plain,
( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f40,plain,
( op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f41,plain,
( op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f42,plain,
( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f43,plain,
( op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f44,plain,
( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f45,plain,
( op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f46,plain,
( op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f47,plain,
( op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f48,plain,
( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f49,plain,
( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f50,plain,
( op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f51,plain,
( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f52,plain,
( op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f53,plain,
( op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f54,plain,
( op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f55,plain,
( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f56,plain,
( op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f57,plain,
( op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f58,plain,
( op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f59,plain,
( op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f60,plain,
( op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f61,plain,
( op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f62,plain,
( op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f63,plain,
( op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f64,plain,
( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f65,plain,
( op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f66,plain,
( op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f67,plain,
( op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f68,plain,
( op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f69,plain,
( op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f70,plain,
( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f71,plain,
( op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f72,plain,
( op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f73,plain,
( op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f74,plain,
( op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f75,plain,
( op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f76,plain,
( op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f77,plain,
( op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f78,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f79,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f80,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f81,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f82,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f83,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f84,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f85,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f86,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f87,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f88,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f89,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f90,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f91,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f92,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f93,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f94,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f95,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f96,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f97,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f98,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f99,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f100,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f101,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f102,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f103,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f104,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f105,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f106,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f107,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f108,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f109,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f110,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f111,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f112,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f113,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f114,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f115,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f116,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f117,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f118,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f119,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f120,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f121,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f122,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f123,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f124,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f125,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f126,plain,
e0 != e1,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f127,plain,
e0 != e2,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f128,plain,
e0 != e3,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f129,plain,
e1 != e2,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f130,plain,
e1 != e3,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f131,plain,
e2 != e3,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f132,definition,
( sP0_prd
<=> ( ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f133,definition,
( sP1_prd
<=> ( ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f134,plain,
( ( ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| sP1_prd )
& ( ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0 )
| sP0_prd )
& ( op(e3,e3) = e3
| op(e2,e3) = e2
| op(e1,e3) = e1
| op(e0,e3) = e0 )
& ( op(e3,e2) = e3
| op(e2,e2) = e2
| op(e1,e2) = e1
| op(e0,e2) = e0 )
& ( op(e3,e1) = e3
| op(e2,e1) = e2
| op(e1,e1) = e1
| op(e0,e1) = e0 )
& ( op(e3,e0) = e3
| op(e2,e0) = e2
| op(e1,e0) = e1
| op(e0,e0) = e0 ) ),
inference(formula_renaming,[status(thm)],[f5,f133,f132]) ).
fof(f135,plain,
( op(e3,e0) = e3
| op(e2,e0) = e2
| op(e1,e0) = e1
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f136,plain,
( op(e3,e1) = e3
| op(e2,e1) = e2
| op(e1,e1) = e1
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f137,plain,
( op(e3,e2) = e3
| op(e2,e2) = e2
| op(e1,e2) = e1
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f138,plain,
( op(e3,e3) = e3
| op(e2,e3) = e2
| op(e1,e3) = e1
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f139,plain,
( op(e3,op(e3,e0)) != e0
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f140,plain,
( op(e3,op(e3,e1)) != e1
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f141,plain,
( op(e3,op(e3,e2)) != e2
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f142,plain,
( op(e3,op(e3,e3)) != e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f143,plain,
( op(e3,e3) = e3
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f147,plain,
( e3 != op(op(e1,e1),e1)
| e2 != op(op(op(e1,e1),e1),op(e1,e1))
| e0 != op(e1,e1) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f148,plain,
( e3 != op(op(e1,e1),e1)
| e2 != op(op(op(e1,e1),e1),op(e1,e1))
| e0 != op(e1,e1) ),
inference(cnf_transformation,[status(thm)],[f147]) ).
fof(f149,plain,
( e2 != op(op(e1,e1),e1)
| e3 != op(op(op(e1,e1),e1),op(e1,e1))
| e0 != op(e1,e1) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f150,plain,
( e2 != op(op(e1,e1),e1)
| e3 != op(op(op(e1,e1),e1),op(e1,e1))
| e0 != op(e1,e1) ),
inference(cnf_transformation,[status(thm)],[f149]) ).
fof(f151,plain,
( e3 != op(op(e2,e2),e2)
| e1 != op(op(op(e2,e2),e2),op(e2,e2))
| e0 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f152,plain,
( e3 != op(op(e2,e2),e2)
| e1 != op(op(op(e2,e2),e2),op(e2,e2))
| e0 != op(e2,e2) ),
inference(cnf_transformation,[status(thm)],[f151]) ).
fof(f153,plain,
( e1 != op(op(e2,e2),e2)
| e3 != op(op(op(e2,e2),e2),op(e2,e2))
| e0 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f154,plain,
( e1 != op(op(e2,e2),e2)
| e3 != op(op(op(e2,e2),e2),op(e2,e2))
| e0 != op(e2,e2) ),
inference(cnf_transformation,[status(thm)],[f153]) ).
fof(f155,plain,
( e2 != op(op(e3,e3),e3)
| e1 != op(op(op(e3,e3),e3),op(e3,e3))
| e0 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f156,plain,
( e2 != op(op(e3,e3),e3)
| e1 != op(op(op(e3,e3),e3),op(e3,e3))
| e0 != op(e3,e3) ),
inference(cnf_transformation,[status(thm)],[f155]) ).
fof(f157,plain,
( e1 != op(op(e3,e3),e3)
| e2 != op(op(op(e3,e3),e3),op(e3,e3))
| e0 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(thm)],[f11]) ).
fof(f158,plain,
( e1 != op(op(e3,e3),e3)
| e2 != op(op(op(e3,e3),e3),op(e3,e3))
| e0 != op(e3,e3) ),
inference(cnf_transformation,[status(thm)],[f157]) ).
fof(f159,plain,
( e3 != op(op(e0,e0),e0)
| e2 != op(op(op(e0,e0),e0),op(e0,e0))
| e1 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f160,plain,
( e3 != op(op(e0,e0),e0)
| e2 != op(op(op(e0,e0),e0),op(e0,e0))
| e1 != op(e0,e0) ),
inference(cnf_transformation,[status(thm)],[f159]) ).
fof(f163,plain,
( e3 != op(op(e2,e2),e2)
| e0 != op(op(op(e2,e2),e2),op(e2,e2))
| e1 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(thm)],[f14]) ).
fof(f164,plain,
( e3 != op(op(e2,e2),e2)
| e0 != op(op(op(e2,e2),e2),op(e2,e2))
| e1 != op(e2,e2) ),
inference(cnf_transformation,[status(thm)],[f163]) ).
fof(f167,plain,
( e2 != op(op(e3,e3),e3)
| e0 != op(op(op(e3,e3),e3),op(e3,e3))
| e1 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(thm)],[f16]) ).
fof(f168,plain,
( e2 != op(op(e3,e3),e3)
| e0 != op(op(op(e3,e3),e3),op(e3,e3))
| e1 != op(e3,e3) ),
inference(cnf_transformation,[status(thm)],[f167]) ).
fof(f169,plain,
( e0 != op(op(e3,e3),e3)
| e2 != op(op(op(e3,e3),e3),op(e3,e3))
| e1 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(thm)],[f17]) ).
fof(f170,plain,
( e0 != op(op(e3,e3),e3)
| e2 != op(op(op(e3,e3),e3),op(e3,e3))
| e1 != op(e3,e3) ),
inference(cnf_transformation,[status(thm)],[f169]) ).
fof(f171,plain,
( e3 != op(op(e0,e0),e0)
| e1 != op(op(op(e0,e0),e0),op(e0,e0))
| e2 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f172,plain,
( e3 != op(op(e0,e0),e0)
| e1 != op(op(op(e0,e0),e0),op(e0,e0))
| e2 != op(e0,e0) ),
inference(cnf_transformation,[status(thm)],[f171]) ).
fof(f173,plain,
( e1 != op(op(e0,e0),e0)
| e3 != op(op(op(e0,e0),e0),op(e0,e0))
| e2 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(thm)],[f19]) ).
fof(f174,plain,
( e1 != op(op(e0,e0),e0)
| e3 != op(op(op(e0,e0),e0),op(e0,e0))
| e2 != op(e0,e0) ),
inference(cnf_transformation,[status(thm)],[f173]) ).
fof(f175,plain,
( e3 != op(op(e1,e1),e1)
| e0 != op(op(op(e1,e1),e1),op(e1,e1))
| e2 != op(e1,e1) ),
inference(pre_NNF_transformation,[status(thm)],[f20]) ).
fof(f176,plain,
( e3 != op(op(e1,e1),e1)
| e0 != op(op(op(e1,e1),e1),op(e1,e1))
| e2 != op(e1,e1) ),
inference(cnf_transformation,[status(thm)],[f175]) ).
fof(f179,plain,
( e1 != op(op(e3,e3),e3)
| e0 != op(op(op(e3,e3),e3),op(e3,e3))
| e2 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(thm)],[f22]) ).
fof(f180,plain,
( e1 != op(op(e3,e3),e3)
| e0 != op(op(op(e3,e3),e3),op(e3,e3))
| e2 != op(e3,e3) ),
inference(cnf_transformation,[status(thm)],[f179]) ).
fof(f183,plain,
( e2 != op(op(e0,e0),e0)
| e1 != op(op(op(e0,e0),e0),op(e0,e0))
| e3 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(thm)],[f24]) ).
fof(f184,plain,
( e2 != op(op(e0,e0),e0)
| e1 != op(op(op(e0,e0),e0),op(e0,e0))
| e3 != op(e0,e0) ),
inference(cnf_transformation,[status(thm)],[f183]) ).
fof(f187,plain,
( e2 != op(op(e1,e1),e1)
| e0 != op(op(op(e1,e1),e1),op(e1,e1))
| e3 != op(e1,e1) ),
inference(pre_NNF_transformation,[status(thm)],[f26]) ).
fof(f188,plain,
( e2 != op(op(e1,e1),e1)
| e0 != op(op(op(e1,e1),e1),op(e1,e1))
| e3 != op(e1,e1) ),
inference(cnf_transformation,[status(thm)],[f187]) ).
fof(f191,plain,
( e1 != op(op(e2,e2),e2)
| e0 != op(op(op(e2,e2),e2),op(e2,e2))
| e3 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(thm)],[f28]) ).
fof(f192,plain,
( e1 != op(op(e2,e2),e2)
| e0 != op(op(op(e2,e2),e2),op(e2,e2))
| e3 != op(e2,e2) ),
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f193,plain,
( e0 != op(op(e2,e2),e2)
| e1 != op(op(op(e2,e2),e2),op(e2,e2))
| e3 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(thm)],[f29]) ).
fof(f194,plain,
( e0 != op(op(e2,e2),e2)
| e1 != op(op(op(e2,e2),e2),op(e2,e2))
| e3 != op(e2,e2) ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f195,definition,
( sP2_prd
<=> ( ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f196,plain,
( sP0_prd
<=> ( ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0 )
| sP2_prd ) ),
inference(formula_renaming,[status(thm)],[f132,f195]) ).
fof(f197,plain,
( ( ( ( op(e2,op(e2,e3)) = e3
| op(e2,op(e2,e2)) = e2
| op(e2,op(e2,e1)) = e1
| op(e2,op(e2,e0)) = e0 )
& ~ sP2_prd )
| sP0_prd )
& ( ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0 )
| sP2_prd
| ~ sP0_prd ) ),
inference(NNF_transformation,[status(thm)],[f196]) ).
fof(f198,plain,
( op(e2,op(e2,e0)) != e0
| sP2_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f199,plain,
( op(e2,op(e2,e1)) != e1
| sP2_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f200,plain,
( op(e2,op(e2,e2)) != e2
| sP2_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f201,plain,
( op(e2,op(e2,e3)) != e3
| sP2_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f202,plain,
( ~ sP2_prd
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f203,plain,
( op(e2,op(e2,e3)) = e3
| op(e2,op(e2,e2)) = e2
| op(e2,op(e2,e1)) = e1
| op(e2,op(e2,e0)) = e0
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f204,definition,
( sP3_prd
<=> ( ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f205,plain,
( sP1_prd
<=> ( ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| sP3_prd ) ),
inference(formula_renaming,[status(thm)],[f133,f204]) ).
fof(f206,plain,
( ( ( ( op(e3,e2) != e3
| op(e2,e3) != e3
| op(e3,e3) != e3
| op(e3,e3) != e3 )
& ~ sP3_prd )
| sP1_prd )
& ( ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| sP3_prd
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f205]) ).
fof(f207,plain,
( op(e3,e3) = e3
| sP3_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f206]) ).
fof(f211,plain,
( ~ sP3_prd
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f206]) ).
fof(f213,definition,
( sP4_prd
<=> ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f214,plain,
( sP2_prd
<=> ( ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0 )
| sP4_prd ) ),
inference(formula_renaming,[status(thm)],[f195,f213]) ).
fof(f215,plain,
( ( ( ( op(e1,op(e1,e3)) = e3
| op(e1,op(e1,e2)) = e2
| op(e1,op(e1,e1)) = e1
| op(e1,op(e1,e0)) = e0 )
& ~ sP4_prd )
| sP2_prd )
& ( ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0 )
| sP4_prd
| ~ sP2_prd ) ),
inference(NNF_transformation,[status(thm)],[f214]) ).
fof(f216,plain,
( op(e1,op(e1,e0)) != e0
| sP4_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f217,plain,
( op(e1,op(e1,e1)) != e1
| sP4_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f218,plain,
( op(e1,op(e1,e2)) != e2
| sP4_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f219,plain,
( op(e1,op(e1,e3)) != e3
| sP4_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f220,plain,
( ~ sP4_prd
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f222,definition,
( sP5_prd
<=> ( ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f223,plain,
( sP3_prd
<=> ( ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| sP5_prd ) ),
inference(formula_renaming,[status(thm)],[f204,f222]) ).
fof(f224,plain,
( ( ( ( op(e3,e1) != e3
| op(e1,e3) != e3
| op(e3,e3) != e3
| op(e3,e3) != e3 )
& ~ sP5_prd )
| sP3_prd )
& ( ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| sP5_prd
| ~ sP3_prd ) ),
inference(NNF_transformation,[status(thm)],[f223]) ).
fof(f225,plain,
( op(e3,e3) = e3
| sP5_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f224]) ).
fof(f227,plain,
( op(e1,e3) = e3
| sP5_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f224]) ).
fof(f229,plain,
( ~ sP5_prd
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f224]) ).
fof(f231,plain,
( ( op(e0,op(e0,e3)) = e3
| op(e0,op(e0,e2)) = e2
| op(e0,op(e0,e1)) = e1
| op(e0,op(e0,e0)) = e0
| sP4_prd )
& ( ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0 )
| ~ sP4_prd ) ),
inference(NNF_transformation,[status(thm)],[f213]) ).
fof(f232,plain,
( op(e0,op(e0,e0)) != e0
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f231]) ).
fof(f233,plain,
( op(e0,op(e0,e1)) != e1
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f231]) ).
fof(f234,plain,
( op(e0,op(e0,e2)) != e2
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f231]) ).
fof(f235,plain,
( op(e0,op(e0,e3)) != e3
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f231]) ).
fof(f237,definition,
( sP6_prd
<=> ( ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f238,plain,
( sP5_prd
<=> ( ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| sP6_prd ) ),
inference(formula_renaming,[status(thm)],[f222,f237]) ).
fof(f239,plain,
( ( ( ( op(e3,e0) != e3
| op(e0,e3) != e3
| op(e3,e3) != e3
| op(e3,e3) != e3 )
& ~ sP6_prd )
| sP5_prd )
& ( ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| sP6_prd
| ~ sP5_prd ) ),
inference(NNF_transformation,[status(thm)],[f238]) ).
fof(f240,plain,
( op(e3,e3) = e3
| sP6_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f239]) ).
fof(f242,plain,
( op(e0,e3) = e3
| sP6_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f239]) ).
fof(f243,plain,
( op(e3,e0) = e3
| sP6_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f239]) ).
fof(f244,plain,
( ~ sP6_prd
| sP5_prd ),
inference(cnf_transformation,[status(thm)],[f239]) ).
fof(f246,definition,
( sP7_prd
<=> ( ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).
fof(f247,plain,
( sP6_prd
<=> ( ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| sP7_prd ) ),
inference(formula_renaming,[status(thm)],[f237,f246]) ).
fof(f248,plain,
( ( ( ( op(e2,e3) != e2
| op(e3,e2) != e2
| op(e2,e3) != e3
| op(e3,e2) != e3 )
& ~ sP7_prd )
| sP6_prd )
& ( ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| sP7_prd
| ~ sP6_prd ) ),
inference(NNF_transformation,[status(thm)],[f247]) ).
fof(f249,plain,
( op(e3,e2) = e3
| sP7_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f248]) ).
fof(f250,plain,
( op(e2,e3) = e3
| sP7_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f248]) ).
fof(f251,plain,
( op(e3,e2) = e2
| sP7_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f248]) ).
fof(f252,plain,
( op(e2,e3) = e2
| sP7_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f248]) ).
fof(f253,plain,
( ~ sP7_prd
| sP6_prd ),
inference(cnf_transformation,[status(thm)],[f248]) ).
fof(f255,definition,
( sP8_prd
<=> ( ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP8_prd])],[]) ).
fof(f256,plain,
( sP7_prd
<=> ( ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| sP8_prd ) ),
inference(formula_renaming,[status(thm)],[f246,f255]) ).
fof(f257,plain,
( ( ( ( op(e2,e2) != e2
| op(e2,e2) != e2
| op(e2,e3) != e3
| op(e3,e2) != e3 )
& ~ sP8_prd )
| sP7_prd )
& ( ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| sP8_prd
| ~ sP7_prd ) ),
inference(NNF_transformation,[status(thm)],[f256]) ).
fof(f258,plain,
( op(e3,e2) = e3
| sP8_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f257]) ).
fof(f259,plain,
( op(e2,e3) = e3
| sP8_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f257]) ).
fof(f260,plain,
( op(e2,e2) = e2
| sP8_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f257]) ).
fof(f262,plain,
( ~ sP8_prd
| sP7_prd ),
inference(cnf_transformation,[status(thm)],[f257]) ).
fof(f264,definition,
( sP9_prd
<=> ( ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP9_prd])],[]) ).
fof(f265,plain,
( sP8_prd
<=> ( ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| sP9_prd ) ),
inference(formula_renaming,[status(thm)],[f255,f264]) ).
fof(f266,plain,
( ( ( ( op(e2,e1) != e2
| op(e1,e2) != e2
| op(e2,e3) != e3
| op(e3,e2) != e3 )
& ~ sP9_prd )
| sP8_prd )
& ( ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| sP9_prd
| ~ sP8_prd ) ),
inference(NNF_transformation,[status(thm)],[f265]) ).
fof(f267,plain,
( op(e3,e2) = e3
| sP9_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f266]) ).
fof(f268,plain,
( op(e2,e3) = e3
| sP9_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f266]) ).
fof(f269,plain,
( op(e1,e2) = e2
| sP9_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f266]) ).
fof(f270,plain,
( op(e2,e1) = e2
| sP9_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f266]) ).
fof(f271,plain,
( ~ sP9_prd
| sP8_prd ),
inference(cnf_transformation,[status(thm)],[f266]) ).
fof(f273,definition,
( sP10_prd
<=> ( ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP10_prd])],[]) ).
fof(f274,plain,
( sP9_prd
<=> ( ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| sP10_prd ) ),
inference(formula_renaming,[status(thm)],[f264,f273]) ).
fof(f275,plain,
( ( ( ( op(e2,e0) != e2
| op(e0,e2) != e2
| op(e2,e3) != e3
| op(e3,e2) != e3 )
& ~ sP10_prd )
| sP9_prd )
& ( ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| sP10_prd
| ~ sP9_prd ) ),
inference(NNF_transformation,[status(thm)],[f274]) ).
fof(f276,plain,
( op(e3,e2) = e3
| sP10_prd
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f275]) ).
fof(f277,plain,
( op(e2,e3) = e3
| sP10_prd
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f275]) ).
fof(f278,plain,
( op(e0,e2) = e2
| sP10_prd
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f275]) ).
fof(f279,plain,
( op(e2,e0) = e2
| sP10_prd
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f275]) ).
fof(f280,plain,
( ~ sP10_prd
| sP9_prd ),
inference(cnf_transformation,[status(thm)],[f275]) ).
fof(f282,definition,
( sP11_prd
<=> ( ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP11_prd])],[]) ).
fof(f283,plain,
( sP10_prd
<=> ( ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| sP11_prd ) ),
inference(formula_renaming,[status(thm)],[f273,f282]) ).
fof(f284,plain,
( ( ( ( op(e1,e3) != e1
| op(e3,e1) != e1
| op(e1,e3) != e3
| op(e3,e1) != e3 )
& ~ sP11_prd )
| sP10_prd )
& ( ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| sP11_prd
| ~ sP10_prd ) ),
inference(NNF_transformation,[status(thm)],[f283]) ).
fof(f285,plain,
( op(e3,e1) = e3
| sP11_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f284]) ).
fof(f286,plain,
( op(e1,e3) = e3
| sP11_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f284]) ).
fof(f287,plain,
( op(e3,e1) = e1
| sP11_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f284]) ).
fof(f288,plain,
( op(e1,e3) = e1
| sP11_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f284]) ).
fof(f289,plain,
( ~ sP11_prd
| sP10_prd ),
inference(cnf_transformation,[status(thm)],[f284]) ).
fof(f291,definition,
( sP12_prd
<=> ( ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP12_prd])],[]) ).
fof(f292,plain,
( sP11_prd
<=> ( ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| sP12_prd ) ),
inference(formula_renaming,[status(thm)],[f282,f291]) ).
fof(f293,plain,
( ( ( ( op(e1,e2) != e1
| op(e2,e1) != e1
| op(e1,e3) != e3
| op(e3,e1) != e3 )
& ~ sP12_prd )
| sP11_prd )
& ( ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| sP12_prd
| ~ sP11_prd ) ),
inference(NNF_transformation,[status(thm)],[f292]) ).
fof(f294,plain,
( op(e3,e1) = e3
| sP12_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f293]) ).
fof(f295,plain,
( op(e1,e3) = e3
| sP12_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f293]) ).
fof(f296,plain,
( op(e2,e1) = e1
| sP12_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f293]) ).
fof(f297,plain,
( op(e1,e2) = e1
| sP12_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f293]) ).
fof(f298,plain,
( ~ sP12_prd
| sP11_prd ),
inference(cnf_transformation,[status(thm)],[f293]) ).
fof(f300,definition,
( sP13_prd
<=> ( ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP13_prd])],[]) ).
fof(f301,plain,
( sP12_prd
<=> ( ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| sP13_prd ) ),
inference(formula_renaming,[status(thm)],[f291,f300]) ).
fof(f302,plain,
( ( ( ( op(e1,e1) != e1
| op(e1,e1) != e1
| op(e1,e3) != e3
| op(e3,e1) != e3 )
& ~ sP13_prd )
| sP12_prd )
& ( ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| sP13_prd
| ~ sP12_prd ) ),
inference(NNF_transformation,[status(thm)],[f301]) ).
fof(f303,plain,
( op(e3,e1) = e3
| sP13_prd
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f302]) ).
fof(f304,plain,
( op(e1,e3) = e3
| sP13_prd
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f302]) ).
fof(f305,plain,
( op(e1,e1) = e1
| sP13_prd
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f302]) ).
fof(f307,plain,
( ~ sP13_prd
| sP12_prd ),
inference(cnf_transformation,[status(thm)],[f302]) ).
fof(f309,definition,
( sP14_prd
<=> ( ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP14_prd])],[]) ).
fof(f310,plain,
( sP13_prd
<=> ( ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| sP14_prd ) ),
inference(formula_renaming,[status(thm)],[f300,f309]) ).
fof(f311,plain,
( ( ( ( op(e1,e0) != e1
| op(e0,e1) != e1
| op(e1,e3) != e3
| op(e3,e1) != e3 )
& ~ sP14_prd )
| sP13_prd )
& ( ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| sP14_prd
| ~ sP13_prd ) ),
inference(NNF_transformation,[status(thm)],[f310]) ).
fof(f312,plain,
( op(e3,e1) = e3
| sP14_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f311]) ).
fof(f313,plain,
( op(e1,e3) = e3
| sP14_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f311]) ).
fof(f314,plain,
( op(e0,e1) = e1
| sP14_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f311]) ).
fof(f315,plain,
( op(e1,e0) = e1
| sP14_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f311]) ).
fof(f316,plain,
( ~ sP14_prd
| sP13_prd ),
inference(cnf_transformation,[status(thm)],[f311]) ).
fof(f318,definition,
( sP15_prd
<=> ( ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP15_prd])],[]) ).
fof(f319,plain,
( sP14_prd
<=> ( ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| sP15_prd ) ),
inference(formula_renaming,[status(thm)],[f309,f318]) ).
fof(f320,plain,
( ( ( ( op(e0,e3) != e0
| op(e3,e0) != e0
| op(e0,e3) != e3
| op(e3,e0) != e3 )
& ~ sP15_prd )
| sP14_prd )
& ( ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| sP15_prd
| ~ sP14_prd ) ),
inference(NNF_transformation,[status(thm)],[f319]) ).
fof(f321,plain,
( op(e3,e0) = e3
| sP15_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f320]) ).
fof(f322,plain,
( op(e0,e3) = e3
| sP15_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f320]) ).
fof(f323,plain,
( op(e3,e0) = e0
| sP15_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f320]) ).
fof(f324,plain,
( op(e0,e3) = e0
| sP15_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f320]) ).
fof(f325,plain,
( ~ sP15_prd
| sP14_prd ),
inference(cnf_transformation,[status(thm)],[f320]) ).
fof(f327,definition,
( sP16_prd
<=> ( ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP16_prd])],[]) ).
fof(f328,plain,
( sP15_prd
<=> ( ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| sP16_prd ) ),
inference(formula_renaming,[status(thm)],[f318,f327]) ).
fof(f329,plain,
( ( ( ( op(e0,e2) != e0
| op(e2,e0) != e0
| op(e0,e3) != e3
| op(e3,e0) != e3 )
& ~ sP16_prd )
| sP15_prd )
& ( ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| sP16_prd
| ~ sP15_prd ) ),
inference(NNF_transformation,[status(thm)],[f328]) ).
fof(f330,plain,
( op(e3,e0) = e3
| sP16_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f329]) ).
fof(f331,plain,
( op(e0,e3) = e3
| sP16_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f329]) ).
fof(f332,plain,
( op(e2,e0) = e0
| sP16_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f329]) ).
fof(f333,plain,
( op(e0,e2) = e0
| sP16_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f329]) ).
fof(f334,plain,
( ~ sP16_prd
| sP15_prd ),
inference(cnf_transformation,[status(thm)],[f329]) ).
fof(f336,definition,
( sP17_prd
<=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP17_prd])],[]) ).
fof(f337,plain,
( sP16_prd
<=> ( ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| sP17_prd ) ),
inference(formula_renaming,[status(thm)],[f327,f336]) ).
fof(f338,plain,
( ( ( ( op(e0,e1) != e0
| op(e1,e0) != e0
| op(e0,e3) != e3
| op(e3,e0) != e3 )
& ~ sP17_prd )
| sP16_prd )
& ( ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| sP17_prd
| ~ sP16_prd ) ),
inference(NNF_transformation,[status(thm)],[f337]) ).
fof(f339,plain,
( op(e3,e0) = e3
| sP17_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f338]) ).
fof(f340,plain,
( op(e0,e3) = e3
| sP17_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f338]) ).
fof(f341,plain,
( op(e1,e0) = e0
| sP17_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f338]) ).
fof(f342,plain,
( op(e0,e1) = e0
| sP17_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f338]) ).
fof(f343,plain,
( ~ sP17_prd
| sP16_prd ),
inference(cnf_transformation,[status(thm)],[f338]) ).
fof(f345,definition,
( sP18_prd
<=> ( ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP18_prd])],[]) ).
fof(f346,plain,
( sP17_prd
<=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| sP18_prd ) ),
inference(formula_renaming,[status(thm)],[f336,f345]) ).
fof(f347,plain,
( ( ( ( op(e0,e0) != e0
| op(e0,e0) != e0
| op(e0,e3) != e3
| op(e3,e0) != e3 )
& ~ sP18_prd )
| sP17_prd )
& ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| sP18_prd
| ~ sP17_prd ) ),
inference(NNF_transformation,[status(thm)],[f346]) ).
fof(f348,plain,
( op(e3,e0) = e3
| sP18_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f347]) ).
fof(f349,plain,
( op(e0,e3) = e3
| sP18_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f347]) ).
fof(f350,plain,
( op(e0,e0) = e0
| sP18_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f347]) ).
fof(f352,plain,
( ~ sP18_prd
| sP17_prd ),
inference(cnf_transformation,[status(thm)],[f347]) ).
fof(f354,definition,
( sP19_prd
<=> ( ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP19_prd])],[]) ).
fof(f355,plain,
( sP18_prd
<=> ( ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| sP19_prd ) ),
inference(formula_renaming,[status(thm)],[f345,f354]) ).
fof(f356,plain,
( ( ( ( op(e3,e3) != e3
| op(e3,e3) != e3
| op(e3,e2) != e2
| op(e2,e3) != e2 )
& ~ sP19_prd )
| sP18_prd )
& ( ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| sP19_prd
| ~ sP18_prd ) ),
inference(NNF_transformation,[status(thm)],[f355]) ).
fof(f357,plain,
( op(e2,e3) = e2
| sP19_prd
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f356]) ).
fof(f358,plain,
( op(e3,e2) = e2
| sP19_prd
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f356]) ).
fof(f359,plain,
( op(e3,e3) = e3
| sP19_prd
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f356]) ).
fof(f361,plain,
( ~ sP19_prd
| sP18_prd ),
inference(cnf_transformation,[status(thm)],[f356]) ).
fof(f362,plain,
( op(e3,e3) != e3
| op(e3,e3) != e3
| op(e3,e2) != e2
| op(e2,e3) != e2
| sP18_prd ),
inference(cnf_transformation,[status(thm)],[f356]) ).
fof(f363,definition,
( sP20_prd
<=> ( ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP20_prd])],[]) ).
fof(f364,plain,
( sP19_prd
<=> ( ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| sP20_prd ) ),
inference(formula_renaming,[status(thm)],[f354,f363]) ).
fof(f365,plain,
( ( ( ( op(e3,e2) != e3
| op(e2,e3) != e3
| op(e3,e2) != e2
| op(e2,e3) != e2 )
& ~ sP20_prd )
| sP19_prd )
& ( ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| sP20_prd
| ~ sP19_prd ) ),
inference(NNF_transformation,[status(thm)],[f364]) ).
fof(f366,plain,
( op(e2,e3) = e2
| sP20_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f365]) ).
fof(f367,plain,
( op(e3,e2) = e2
| sP20_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f365]) ).
fof(f368,plain,
( op(e2,e3) = e3
| sP20_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f365]) ).
fof(f369,plain,
( op(e3,e2) = e3
| sP20_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f365]) ).
fof(f370,plain,
( ~ sP20_prd
| sP19_prd ),
inference(cnf_transformation,[status(thm)],[f365]) ).
fof(f372,definition,
( sP21_prd
<=> ( ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP21_prd])],[]) ).
fof(f373,plain,
( sP20_prd
<=> ( ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| sP21_prd ) ),
inference(formula_renaming,[status(thm)],[f363,f372]) ).
fof(f374,plain,
( ( ( ( op(e3,e1) != e3
| op(e1,e3) != e3
| op(e3,e2) != e2
| op(e2,e3) != e2 )
& ~ sP21_prd )
| sP20_prd )
& ( ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| sP21_prd
| ~ sP20_prd ) ),
inference(NNF_transformation,[status(thm)],[f373]) ).
fof(f375,plain,
( op(e2,e3) = e2
| sP21_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f374]) ).
fof(f376,plain,
( op(e3,e2) = e2
| sP21_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f374]) ).
fof(f377,plain,
( op(e1,e3) = e3
| sP21_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f374]) ).
fof(f378,plain,
( op(e3,e1) = e3
| sP21_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f374]) ).
fof(f379,plain,
( ~ sP21_prd
| sP20_prd ),
inference(cnf_transformation,[status(thm)],[f374]) ).
fof(f380,plain,
( op(e3,e1) != e3
| op(e1,e3) != e3
| op(e3,e2) != e2
| op(e2,e3) != e2
| sP20_prd ),
inference(cnf_transformation,[status(thm)],[f374]) ).
fof(f381,definition,
( sP22_prd
<=> ( ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP22_prd])],[]) ).
fof(f382,plain,
( sP21_prd
<=> ( ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| sP22_prd ) ),
inference(formula_renaming,[status(thm)],[f372,f381]) ).
fof(f383,plain,
( ( ( ( op(e3,e0) != e3
| op(e0,e3) != e3
| op(e3,e2) != e2
| op(e2,e3) != e2 )
& ~ sP22_prd )
| sP21_prd )
& ( ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| sP22_prd
| ~ sP21_prd ) ),
inference(NNF_transformation,[status(thm)],[f382]) ).
fof(f384,plain,
( op(e2,e3) = e2
| sP22_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f383]) ).
fof(f385,plain,
( op(e3,e2) = e2
| sP22_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f383]) ).
fof(f386,plain,
( op(e0,e3) = e3
| sP22_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f383]) ).
fof(f387,plain,
( op(e3,e0) = e3
| sP22_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f383]) ).
fof(f388,plain,
( ~ sP22_prd
| sP21_prd ),
inference(cnf_transformation,[status(thm)],[f383]) ).
fof(f389,plain,
( op(e3,e0) != e3
| op(e0,e3) != e3
| op(e3,e2) != e2
| op(e2,e3) != e2
| sP21_prd ),
inference(cnf_transformation,[status(thm)],[f383]) ).
fof(f390,definition,
( sP23_prd
<=> ( ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP23_prd])],[]) ).
fof(f391,plain,
( sP22_prd
<=> ( ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| sP23_prd ) ),
inference(formula_renaming,[status(thm)],[f381,f390]) ).
fof(f392,plain,
( ( ( ( op(e2,e3) != e2
| op(e3,e2) != e2
| op(e2,e2) != e2
| op(e2,e2) != e2 )
& ~ sP23_prd )
| sP22_prd )
& ( ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| sP23_prd
| ~ sP22_prd ) ),
inference(NNF_transformation,[status(thm)],[f391]) ).
fof(f393,plain,
( op(e2,e2) = e2
| sP23_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f392]) ).
fof(f395,plain,
( op(e3,e2) = e2
| sP23_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f392]) ).
fof(f396,plain,
( op(e2,e3) = e2
| sP23_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f392]) ).
fof(f397,plain,
( ~ sP23_prd
| sP22_prd ),
inference(cnf_transformation,[status(thm)],[f392]) ).
fof(f399,definition,
( sP24_prd
<=> ( ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP24_prd])],[]) ).
fof(f400,plain,
( sP23_prd
<=> ( ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| sP24_prd ) ),
inference(formula_renaming,[status(thm)],[f390,f399]) ).
fof(f401,plain,
( ( ( ( op(e2,e2) != e2
| op(e2,e2) != e2
| op(e2,e2) != e2
| op(e2,e2) != e2 )
& ~ sP24_prd )
| sP23_prd )
& ( ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| sP24_prd
| ~ sP23_prd ) ),
inference(NNF_transformation,[status(thm)],[f400]) ).
fof(f402,plain,
( op(e2,e2) = e2
| sP24_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f401]) ).
fof(f406,plain,
( ~ sP24_prd
| sP23_prd ),
inference(cnf_transformation,[status(thm)],[f401]) ).
fof(f407,plain,
( op(e2,e2) != e2
| op(e2,e2) != e2
| op(e2,e2) != e2
| op(e2,e2) != e2
| sP23_prd ),
inference(cnf_transformation,[status(thm)],[f401]) ).
fof(f408,definition,
( sP25_prd
<=> ( ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP25_prd])],[]) ).
fof(f409,plain,
( sP24_prd
<=> ( ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| sP25_prd ) ),
inference(formula_renaming,[status(thm)],[f399,f408]) ).
fof(f410,plain,
( ( ( ( op(e2,e1) != e2
| op(e1,e2) != e2
| op(e2,e2) != e2
| op(e2,e2) != e2 )
& ~ sP25_prd )
| sP24_prd )
& ( ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| sP25_prd
| ~ sP24_prd ) ),
inference(NNF_transformation,[status(thm)],[f409]) ).
fof(f411,plain,
( op(e2,e2) = e2
| sP25_prd
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f410]) ).
fof(f413,plain,
( op(e1,e2) = e2
| sP25_prd
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f410]) ).
fof(f414,plain,
( op(e2,e1) = e2
| sP25_prd
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f410]) ).
fof(f415,plain,
( ~ sP25_prd
| sP24_prd ),
inference(cnf_transformation,[status(thm)],[f410]) ).
fof(f417,definition,
( sP26_prd
<=> ( ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP26_prd])],[]) ).
fof(f418,plain,
( sP25_prd
<=> ( ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| sP26_prd ) ),
inference(formula_renaming,[status(thm)],[f408,f417]) ).
fof(f419,plain,
( ( ( ( op(e2,e0) != e2
| op(e0,e2) != e2
| op(e2,e2) != e2
| op(e2,e2) != e2 )
& ~ sP26_prd )
| sP25_prd )
& ( ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| sP26_prd
| ~ sP25_prd ) ),
inference(NNF_transformation,[status(thm)],[f418]) ).
fof(f420,plain,
( op(e2,e2) = e2
| sP26_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f419]) ).
fof(f422,plain,
( op(e0,e2) = e2
| sP26_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f419]) ).
fof(f423,plain,
( op(e2,e0) = e2
| sP26_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f419]) ).
fof(f424,plain,
( ~ sP26_prd
| sP25_prd ),
inference(cnf_transformation,[status(thm)],[f419]) ).
fof(f426,definition,
( sP27_prd
<=> ( ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP27_prd])],[]) ).
fof(f427,plain,
( sP26_prd
<=> ( ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| sP27_prd ) ),
inference(formula_renaming,[status(thm)],[f417,f426]) ).
fof(f428,plain,
( ( ( ( op(e1,e3) != e1
| op(e3,e1) != e1
| op(e1,e2) != e2
| op(e2,e1) != e2 )
& ~ sP27_prd )
| sP26_prd )
& ( ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| sP27_prd
| ~ sP26_prd ) ),
inference(NNF_transformation,[status(thm)],[f427]) ).
fof(f429,plain,
( op(e2,e1) = e2
| sP27_prd
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f428]) ).
fof(f430,plain,
( op(e1,e2) = e2
| sP27_prd
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f428]) ).
fof(f431,plain,
( op(e3,e1) = e1
| sP27_prd
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f428]) ).
fof(f432,plain,
( op(e1,e3) = e1
| sP27_prd
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f428]) ).
fof(f433,plain,
( ~ sP27_prd
| sP26_prd ),
inference(cnf_transformation,[status(thm)],[f428]) ).
fof(f434,plain,
( op(e1,e3) != e1
| op(e3,e1) != e1
| op(e1,e2) != e2
| op(e2,e1) != e2
| sP26_prd ),
inference(cnf_transformation,[status(thm)],[f428]) ).
fof(f435,definition,
( sP28_prd
<=> ( ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP28_prd])],[]) ).
fof(f436,plain,
( sP27_prd
<=> ( ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| sP28_prd ) ),
inference(formula_renaming,[status(thm)],[f426,f435]) ).
fof(f437,plain,
( ( ( ( op(e1,e2) != e1
| op(e2,e1) != e1
| op(e1,e2) != e2
| op(e2,e1) != e2 )
& ~ sP28_prd )
| sP27_prd )
& ( ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| sP28_prd
| ~ sP27_prd ) ),
inference(NNF_transformation,[status(thm)],[f436]) ).
fof(f438,plain,
( op(e2,e1) = e2
| sP28_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f437]) ).
fof(f439,plain,
( op(e1,e2) = e2
| sP28_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f437]) ).
fof(f440,plain,
( op(e2,e1) = e1
| sP28_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f437]) ).
fof(f441,plain,
( op(e1,e2) = e1
| sP28_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f437]) ).
fof(f442,plain,
( ~ sP28_prd
| sP27_prd ),
inference(cnf_transformation,[status(thm)],[f437]) ).
fof(f444,definition,
( sP29_prd
<=> ( ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP29_prd])],[]) ).
fof(f445,plain,
( sP28_prd
<=> ( ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| sP29_prd ) ),
inference(formula_renaming,[status(thm)],[f435,f444]) ).
fof(f446,plain,
( ( ( ( op(e1,e1) != e1
| op(e1,e1) != e1
| op(e1,e2) != e2
| op(e2,e1) != e2 )
& ~ sP29_prd )
| sP28_prd )
& ( ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| sP29_prd
| ~ sP28_prd ) ),
inference(NNF_transformation,[status(thm)],[f445]) ).
fof(f447,plain,
( op(e2,e1) = e2
| sP29_prd
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f446]) ).
fof(f448,plain,
( op(e1,e2) = e2
| sP29_prd
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f446]) ).
fof(f449,plain,
( op(e1,e1) = e1
| sP29_prd
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f446]) ).
fof(f451,plain,
( ~ sP29_prd
| sP28_prd ),
inference(cnf_transformation,[status(thm)],[f446]) ).
fof(f453,definition,
( sP30_prd
<=> ( ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP30_prd])],[]) ).
fof(f454,plain,
( sP29_prd
<=> ( ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| sP30_prd ) ),
inference(formula_renaming,[status(thm)],[f444,f453]) ).
fof(f455,plain,
( ( ( ( op(e1,e0) != e1
| op(e0,e1) != e1
| op(e1,e2) != e2
| op(e2,e1) != e2 )
& ~ sP30_prd )
| sP29_prd )
& ( ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| sP30_prd
| ~ sP29_prd ) ),
inference(NNF_transformation,[status(thm)],[f454]) ).
fof(f456,plain,
( op(e2,e1) = e2
| sP30_prd
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f455]) ).
fof(f457,plain,
( op(e1,e2) = e2
| sP30_prd
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f455]) ).
fof(f458,plain,
( op(e0,e1) = e1
| sP30_prd
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f455]) ).
fof(f459,plain,
( op(e1,e0) = e1
| sP30_prd
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f455]) ).
fof(f460,plain,
( ~ sP30_prd
| sP29_prd ),
inference(cnf_transformation,[status(thm)],[f455]) ).
fof(f461,plain,
( op(e1,e0) != e1
| op(e0,e1) != e1
| op(e1,e2) != e2
| op(e2,e1) != e2
| sP29_prd ),
inference(cnf_transformation,[status(thm)],[f455]) ).
fof(f462,definition,
( sP31_prd
<=> ( ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP31_prd])],[]) ).
fof(f463,plain,
( sP30_prd
<=> ( ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| sP31_prd ) ),
inference(formula_renaming,[status(thm)],[f453,f462]) ).
fof(f464,plain,
( ( ( ( op(e0,e3) != e0
| op(e3,e0) != e0
| op(e0,e2) != e2
| op(e2,e0) != e2 )
& ~ sP31_prd )
| sP30_prd )
& ( ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| sP31_prd
| ~ sP30_prd ) ),
inference(NNF_transformation,[status(thm)],[f463]) ).
fof(f465,plain,
( op(e2,e0) = e2
| sP31_prd
| ~ sP30_prd ),
inference(cnf_transformation,[status(thm)],[f464]) ).
fof(f466,plain,
( op(e0,e2) = e2
| sP31_prd
| ~ sP30_prd ),
inference(cnf_transformation,[status(thm)],[f464]) ).
fof(f467,plain,
( op(e3,e0) = e0
| sP31_prd
| ~ sP30_prd ),
inference(cnf_transformation,[status(thm)],[f464]) ).
fof(f468,plain,
( op(e0,e3) = e0
| sP31_prd
| ~ sP30_prd ),
inference(cnf_transformation,[status(thm)],[f464]) ).
fof(f469,plain,
( ~ sP31_prd
| sP30_prd ),
inference(cnf_transformation,[status(thm)],[f464]) ).
fof(f471,definition,
( sP32_prd
<=> ( ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP32_prd])],[]) ).
fof(f472,plain,
( sP31_prd
<=> ( ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| sP32_prd ) ),
inference(formula_renaming,[status(thm)],[f462,f471]) ).
fof(f473,plain,
( ( ( ( op(e0,e2) != e0
| op(e2,e0) != e0
| op(e0,e2) != e2
| op(e2,e0) != e2 )
& ~ sP32_prd )
| sP31_prd )
& ( ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| sP32_prd
| ~ sP31_prd ) ),
inference(NNF_transformation,[status(thm)],[f472]) ).
fof(f474,plain,
( op(e2,e0) = e2
| sP32_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f473]) ).
fof(f475,plain,
( op(e0,e2) = e2
| sP32_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f473]) ).
fof(f477,plain,
( op(e0,e2) = e0
| sP32_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f473]) ).
fof(f478,plain,
( ~ sP32_prd
| sP31_prd ),
inference(cnf_transformation,[status(thm)],[f473]) ).
fof(f480,definition,
( sP33_prd
<=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP33_prd])],[]) ).
fof(f481,plain,
( sP32_prd
<=> ( ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| sP33_prd ) ),
inference(formula_renaming,[status(thm)],[f471,f480]) ).
fof(f482,plain,
( ( ( ( op(e0,e1) != e0
| op(e1,e0) != e0
| op(e0,e2) != e2
| op(e2,e0) != e2 )
& ~ sP33_prd )
| sP32_prd )
& ( ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| sP33_prd
| ~ sP32_prd ) ),
inference(NNF_transformation,[status(thm)],[f481]) ).
fof(f483,plain,
( op(e2,e0) = e2
| sP33_prd
| ~ sP32_prd ),
inference(cnf_transformation,[status(thm)],[f482]) ).
fof(f484,plain,
( op(e0,e2) = e2
| sP33_prd
| ~ sP32_prd ),
inference(cnf_transformation,[status(thm)],[f482]) ).
fof(f485,plain,
( op(e1,e0) = e0
| sP33_prd
| ~ sP32_prd ),
inference(cnf_transformation,[status(thm)],[f482]) ).
fof(f486,plain,
( op(e0,e1) = e0
| sP33_prd
| ~ sP32_prd ),
inference(cnf_transformation,[status(thm)],[f482]) ).
fof(f487,plain,
( ~ sP33_prd
| sP32_prd ),
inference(cnf_transformation,[status(thm)],[f482]) ).
fof(f489,definition,
( sP34_prd
<=> ( ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP34_prd])],[]) ).
fof(f490,plain,
( sP33_prd
<=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| sP34_prd ) ),
inference(formula_renaming,[status(thm)],[f480,f489]) ).
fof(f491,plain,
( ( ( ( op(e0,e0) != e0
| op(e0,e0) != e0
| op(e0,e2) != e2
| op(e2,e0) != e2 )
& ~ sP34_prd )
| sP33_prd )
& ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| sP34_prd
| ~ sP33_prd ) ),
inference(NNF_transformation,[status(thm)],[f490]) ).
fof(f492,plain,
( op(e2,e0) = e2
| sP34_prd
| ~ sP33_prd ),
inference(cnf_transformation,[status(thm)],[f491]) ).
fof(f493,plain,
( op(e0,e2) = e2
| sP34_prd
| ~ sP33_prd ),
inference(cnf_transformation,[status(thm)],[f491]) ).
fof(f494,plain,
( op(e0,e0) = e0
| sP34_prd
| ~ sP33_prd ),
inference(cnf_transformation,[status(thm)],[f491]) ).
fof(f496,plain,
( ~ sP34_prd
| sP33_prd ),
inference(cnf_transformation,[status(thm)],[f491]) ).
fof(f498,definition,
( sP35_prd
<=> ( ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP35_prd])],[]) ).
fof(f499,plain,
( sP34_prd
<=> ( ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| sP35_prd ) ),
inference(formula_renaming,[status(thm)],[f489,f498]) ).
fof(f500,plain,
( ( ( ( op(e3,e3) != e3
| op(e3,e3) != e3
| op(e3,e1) != e1
| op(e1,e3) != e1 )
& ~ sP35_prd )
| sP34_prd )
& ( ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| sP35_prd
| ~ sP34_prd ) ),
inference(NNF_transformation,[status(thm)],[f499]) ).
fof(f501,plain,
( op(e1,e3) = e1
| sP35_prd
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f500]) ).
fof(f502,plain,
( op(e3,e1) = e1
| sP35_prd
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f500]) ).
fof(f503,plain,
( op(e3,e3) = e3
| sP35_prd
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f500]) ).
fof(f505,plain,
( ~ sP35_prd
| sP34_prd ),
inference(cnf_transformation,[status(thm)],[f500]) ).
fof(f506,plain,
( op(e3,e3) != e3
| op(e3,e3) != e3
| op(e3,e1) != e1
| op(e1,e3) != e1
| sP34_prd ),
inference(cnf_transformation,[status(thm)],[f500]) ).
fof(f507,definition,
( sP36_prd
<=> ( ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP36_prd])],[]) ).
fof(f508,plain,
( sP35_prd
<=> ( ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| sP36_prd ) ),
inference(formula_renaming,[status(thm)],[f498,f507]) ).
fof(f509,plain,
( ( ( ( op(e3,e2) != e3
| op(e2,e3) != e3
| op(e3,e1) != e1
| op(e1,e3) != e1 )
& ~ sP36_prd )
| sP35_prd )
& ( ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| sP36_prd
| ~ sP35_prd ) ),
inference(NNF_transformation,[status(thm)],[f508]) ).
fof(f510,plain,
( op(e1,e3) = e1
| sP36_prd
| ~ sP35_prd ),
inference(cnf_transformation,[status(thm)],[f509]) ).
fof(f511,plain,
( op(e3,e1) = e1
| sP36_prd
| ~ sP35_prd ),
inference(cnf_transformation,[status(thm)],[f509]) ).
fof(f512,plain,
( op(e2,e3) = e3
| sP36_prd
| ~ sP35_prd ),
inference(cnf_transformation,[status(thm)],[f509]) ).
fof(f513,plain,
( op(e3,e2) = e3
| sP36_prd
| ~ sP35_prd ),
inference(cnf_transformation,[status(thm)],[f509]) ).
fof(f514,plain,
( ~ sP36_prd
| sP35_prd ),
inference(cnf_transformation,[status(thm)],[f509]) ).
fof(f515,plain,
( op(e3,e2) != e3
| op(e2,e3) != e3
| op(e3,e1) != e1
| op(e1,e3) != e1
| sP35_prd ),
inference(cnf_transformation,[status(thm)],[f509]) ).
fof(f516,definition,
( sP37_prd
<=> ( ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP37_prd])],[]) ).
fof(f517,plain,
( sP36_prd
<=> ( ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| sP37_prd ) ),
inference(formula_renaming,[status(thm)],[f507,f516]) ).
fof(f518,plain,
( ( ( ( op(e3,e1) != e3
| op(e1,e3) != e3
| op(e3,e1) != e1
| op(e1,e3) != e1 )
& ~ sP37_prd )
| sP36_prd )
& ( ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| sP37_prd
| ~ sP36_prd ) ),
inference(NNF_transformation,[status(thm)],[f517]) ).
fof(f519,plain,
( op(e1,e3) = e1
| sP37_prd
| ~ sP36_prd ),
inference(cnf_transformation,[status(thm)],[f518]) ).
fof(f520,plain,
( op(e3,e1) = e1
| sP37_prd
| ~ sP36_prd ),
inference(cnf_transformation,[status(thm)],[f518]) ).
fof(f521,plain,
( op(e1,e3) = e3
| sP37_prd
| ~ sP36_prd ),
inference(cnf_transformation,[status(thm)],[f518]) ).
fof(f522,plain,
( op(e3,e1) = e3
| sP37_prd
| ~ sP36_prd ),
inference(cnf_transformation,[status(thm)],[f518]) ).
fof(f523,plain,
( ~ sP37_prd
| sP36_prd ),
inference(cnf_transformation,[status(thm)],[f518]) ).
fof(f525,definition,
( sP38_prd
<=> ( ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP38_prd])],[]) ).
fof(f526,plain,
( sP37_prd
<=> ( ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| sP38_prd ) ),
inference(formula_renaming,[status(thm)],[f516,f525]) ).
fof(f527,plain,
( ( ( ( op(e3,e0) != e3
| op(e0,e3) != e3
| op(e3,e1) != e1
| op(e1,e3) != e1 )
& ~ sP38_prd )
| sP37_prd )
& ( ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| sP38_prd
| ~ sP37_prd ) ),
inference(NNF_transformation,[status(thm)],[f526]) ).
fof(f528,plain,
( op(e1,e3) = e1
| sP38_prd
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f527]) ).
fof(f529,plain,
( op(e3,e1) = e1
| sP38_prd
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f527]) ).
fof(f530,plain,
( op(e0,e3) = e3
| sP38_prd
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f527]) ).
fof(f531,plain,
( op(e3,e0) = e3
| sP38_prd
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f527]) ).
fof(f532,plain,
( ~ sP38_prd
| sP37_prd ),
inference(cnf_transformation,[status(thm)],[f527]) ).
fof(f534,definition,
( sP39_prd
<=> ( ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP39_prd])],[]) ).
fof(f535,plain,
( sP38_prd
<=> ( ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| sP39_prd ) ),
inference(formula_renaming,[status(thm)],[f525,f534]) ).
fof(f536,plain,
( ( ( ( op(e2,e3) != e2
| op(e3,e2) != e2
| op(e2,e1) != e1
| op(e1,e2) != e1 )
& ~ sP39_prd )
| sP38_prd )
& ( ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| sP39_prd
| ~ sP38_prd ) ),
inference(NNF_transformation,[status(thm)],[f535]) ).
fof(f537,plain,
( op(e1,e2) = e1
| sP39_prd
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f536]) ).
fof(f538,plain,
( op(e2,e1) = e1
| sP39_prd
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f536]) ).
fof(f539,plain,
( op(e3,e2) = e2
| sP39_prd
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f536]) ).
fof(f540,plain,
( op(e2,e3) = e2
| sP39_prd
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f536]) ).
fof(f541,plain,
( ~ sP39_prd
| sP38_prd ),
inference(cnf_transformation,[status(thm)],[f536]) ).
fof(f543,definition,
( sP40_prd
<=> ( ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP40_prd])],[]) ).
fof(f544,plain,
( sP39_prd
<=> ( ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| sP40_prd ) ),
inference(formula_renaming,[status(thm)],[f534,f543]) ).
fof(f545,plain,
( ( ( ( op(e2,e2) != e2
| op(e2,e2) != e2
| op(e2,e1) != e1
| op(e1,e2) != e1 )
& ~ sP40_prd )
| sP39_prd )
& ( ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| sP40_prd
| ~ sP39_prd ) ),
inference(NNF_transformation,[status(thm)],[f544]) ).
fof(f546,plain,
( op(e1,e2) = e1
| sP40_prd
| ~ sP39_prd ),
inference(cnf_transformation,[status(thm)],[f545]) ).
fof(f547,plain,
( op(e2,e1) = e1
| sP40_prd
| ~ sP39_prd ),
inference(cnf_transformation,[status(thm)],[f545]) ).
fof(f548,plain,
( op(e2,e2) = e2
| sP40_prd
| ~ sP39_prd ),
inference(cnf_transformation,[status(thm)],[f545]) ).
fof(f550,plain,
( ~ sP40_prd
| sP39_prd ),
inference(cnf_transformation,[status(thm)],[f545]) ).
fof(f552,definition,
( sP41_prd
<=> ( ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP41_prd])],[]) ).
fof(f553,plain,
( sP40_prd
<=> ( ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| sP41_prd ) ),
inference(formula_renaming,[status(thm)],[f543,f552]) ).
fof(f554,plain,
( ( ( ( op(e2,e1) != e2
| op(e1,e2) != e2
| op(e2,e1) != e1
| op(e1,e2) != e1 )
& ~ sP41_prd )
| sP40_prd )
& ( ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| sP41_prd
| ~ sP40_prd ) ),
inference(NNF_transformation,[status(thm)],[f553]) ).
fof(f555,plain,
( op(e1,e2) = e1
| sP41_prd
| ~ sP40_prd ),
inference(cnf_transformation,[status(thm)],[f554]) ).
fof(f556,plain,
( op(e2,e1) = e1
| sP41_prd
| ~ sP40_prd ),
inference(cnf_transformation,[status(thm)],[f554]) ).
fof(f557,plain,
( op(e1,e2) = e2
| sP41_prd
| ~ sP40_prd ),
inference(cnf_transformation,[status(thm)],[f554]) ).
fof(f559,plain,
( ~ sP41_prd
| sP40_prd ),
inference(cnf_transformation,[status(thm)],[f554]) ).
fof(f561,definition,
( sP42_prd
<=> ( ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP42_prd])],[]) ).
fof(f562,plain,
( sP41_prd
<=> ( ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| sP42_prd ) ),
inference(formula_renaming,[status(thm)],[f552,f561]) ).
fof(f563,plain,
( ( ( ( op(e2,e0) != e2
| op(e0,e2) != e2
| op(e2,e1) != e1
| op(e1,e2) != e1 )
& ~ sP42_prd )
| sP41_prd )
& ( ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| sP42_prd
| ~ sP41_prd ) ),
inference(NNF_transformation,[status(thm)],[f562]) ).
fof(f564,plain,
( op(e1,e2) = e1
| sP42_prd
| ~ sP41_prd ),
inference(cnf_transformation,[status(thm)],[f563]) ).
fof(f565,plain,
( op(e2,e1) = e1
| sP42_prd
| ~ sP41_prd ),
inference(cnf_transformation,[status(thm)],[f563]) ).
fof(f566,plain,
( op(e0,e2) = e2
| sP42_prd
| ~ sP41_prd ),
inference(cnf_transformation,[status(thm)],[f563]) ).
fof(f567,plain,
( op(e2,e0) = e2
| sP42_prd
| ~ sP41_prd ),
inference(cnf_transformation,[status(thm)],[f563]) ).
fof(f568,plain,
( ~ sP42_prd
| sP41_prd ),
inference(cnf_transformation,[status(thm)],[f563]) ).
fof(f570,definition,
( sP43_prd
<=> ( ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP43_prd])],[]) ).
fof(f571,plain,
( sP42_prd
<=> ( ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| sP43_prd ) ),
inference(formula_renaming,[status(thm)],[f561,f570]) ).
fof(f572,plain,
( ( ( ( op(e1,e3) != e1
| op(e3,e1) != e1
| op(e1,e1) != e1
| op(e1,e1) != e1 )
& ~ sP43_prd )
| sP42_prd )
& ( ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| sP43_prd
| ~ sP42_prd ) ),
inference(NNF_transformation,[status(thm)],[f571]) ).
fof(f573,plain,
( op(e1,e1) = e1
| sP43_prd
| ~ sP42_prd ),
inference(cnf_transformation,[status(thm)],[f572]) ).
fof(f577,plain,
( ~ sP43_prd
| sP42_prd ),
inference(cnf_transformation,[status(thm)],[f572]) ).
fof(f579,definition,
( sP44_prd
<=> ( ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP44_prd])],[]) ).
fof(f580,plain,
( sP43_prd
<=> ( ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| sP44_prd ) ),
inference(formula_renaming,[status(thm)],[f570,f579]) ).
fof(f581,plain,
( ( ( ( op(e1,e2) != e1
| op(e2,e1) != e1
| op(e1,e1) != e1
| op(e1,e1) != e1 )
& ~ sP44_prd )
| sP43_prd )
& ( ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| sP44_prd
| ~ sP43_prd ) ),
inference(NNF_transformation,[status(thm)],[f580]) ).
fof(f582,plain,
( op(e1,e1) = e1
| sP44_prd
| ~ sP43_prd ),
inference(cnf_transformation,[status(thm)],[f581]) ).
fof(f586,plain,
( ~ sP44_prd
| sP43_prd ),
inference(cnf_transformation,[status(thm)],[f581]) ).
fof(f588,definition,
( sP45_prd
<=> ( ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP45_prd])],[]) ).
fof(f589,plain,
( sP44_prd
<=> ( ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| sP45_prd ) ),
inference(formula_renaming,[status(thm)],[f579,f588]) ).
fof(f590,plain,
( ( ( ( op(e1,e1) != e1
| op(e1,e1) != e1
| op(e1,e1) != e1
| op(e1,e1) != e1 )
& ~ sP45_prd )
| sP44_prd )
& ( ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| sP45_prd
| ~ sP44_prd ) ),
inference(NNF_transformation,[status(thm)],[f589]) ).
fof(f591,plain,
( op(e1,e1) = e1
| sP45_prd
| ~ sP44_prd ),
inference(cnf_transformation,[status(thm)],[f590]) ).
fof(f595,plain,
( ~ sP45_prd
| sP44_prd ),
inference(cnf_transformation,[status(thm)],[f590]) ).
fof(f596,plain,
( op(e1,e1) != e1
| op(e1,e1) != e1
| op(e1,e1) != e1
| op(e1,e1) != e1
| sP44_prd ),
inference(cnf_transformation,[status(thm)],[f590]) ).
fof(f597,definition,
( sP46_prd
<=> ( ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP46_prd])],[]) ).
fof(f598,plain,
( sP45_prd
<=> ( ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| sP46_prd ) ),
inference(formula_renaming,[status(thm)],[f588,f597]) ).
fof(f599,plain,
( ( ( ( op(e1,e0) != e1
| op(e0,e1) != e1
| op(e1,e1) != e1
| op(e1,e1) != e1 )
& ~ sP46_prd )
| sP45_prd )
& ( ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| sP46_prd
| ~ sP45_prd ) ),
inference(NNF_transformation,[status(thm)],[f598]) ).
fof(f600,plain,
( op(e1,e1) = e1
| sP46_prd
| ~ sP45_prd ),
inference(cnf_transformation,[status(thm)],[f599]) ).
fof(f602,plain,
( op(e0,e1) = e1
| sP46_prd
| ~ sP45_prd ),
inference(cnf_transformation,[status(thm)],[f599]) ).
fof(f603,plain,
( op(e1,e0) = e1
| sP46_prd
| ~ sP45_prd ),
inference(cnf_transformation,[status(thm)],[f599]) ).
fof(f604,plain,
( ~ sP46_prd
| sP45_prd ),
inference(cnf_transformation,[status(thm)],[f599]) ).
fof(f606,definition,
( sP47_prd
<=> ( ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP47_prd])],[]) ).
fof(f607,plain,
( sP46_prd
<=> ( ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| sP47_prd ) ),
inference(formula_renaming,[status(thm)],[f597,f606]) ).
fof(f608,plain,
( ( ( ( op(e0,e3) != e0
| op(e3,e0) != e0
| op(e0,e1) != e1
| op(e1,e0) != e1 )
& ~ sP47_prd )
| sP46_prd )
& ( ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| sP47_prd
| ~ sP46_prd ) ),
inference(NNF_transformation,[status(thm)],[f607]) ).
fof(f609,plain,
( op(e1,e0) = e1
| sP47_prd
| ~ sP46_prd ),
inference(cnf_transformation,[status(thm)],[f608]) ).
fof(f610,plain,
( op(e0,e1) = e1
| sP47_prd
| ~ sP46_prd ),
inference(cnf_transformation,[status(thm)],[f608]) ).
fof(f611,plain,
( op(e3,e0) = e0
| sP47_prd
| ~ sP46_prd ),
inference(cnf_transformation,[status(thm)],[f608]) ).
fof(f612,plain,
( op(e0,e3) = e0
| sP47_prd
| ~ sP46_prd ),
inference(cnf_transformation,[status(thm)],[f608]) ).
fof(f613,plain,
( ~ sP47_prd
| sP46_prd ),
inference(cnf_transformation,[status(thm)],[f608]) ).
fof(f615,definition,
( sP48_prd
<=> ( ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP48_prd])],[]) ).
fof(f616,plain,
( sP47_prd
<=> ( ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| sP48_prd ) ),
inference(formula_renaming,[status(thm)],[f606,f615]) ).
fof(f617,plain,
( ( ( ( op(e0,e2) != e0
| op(e2,e0) != e0
| op(e0,e1) != e1
| op(e1,e0) != e1 )
& ~ sP48_prd )
| sP47_prd )
& ( ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| sP48_prd
| ~ sP47_prd ) ),
inference(NNF_transformation,[status(thm)],[f616]) ).
fof(f618,plain,
( op(e1,e0) = e1
| sP48_prd
| ~ sP47_prd ),
inference(cnf_transformation,[status(thm)],[f617]) ).
fof(f619,plain,
( op(e0,e1) = e1
| sP48_prd
| ~ sP47_prd ),
inference(cnf_transformation,[status(thm)],[f617]) ).
fof(f620,plain,
( op(e2,e0) = e0
| sP48_prd
| ~ sP47_prd ),
inference(cnf_transformation,[status(thm)],[f617]) ).
fof(f621,plain,
( op(e0,e2) = e0
| sP48_prd
| ~ sP47_prd ),
inference(cnf_transformation,[status(thm)],[f617]) ).
fof(f622,plain,
( ~ sP48_prd
| sP47_prd ),
inference(cnf_transformation,[status(thm)],[f617]) ).
fof(f623,plain,
( op(e0,e2) != e0
| op(e2,e0) != e0
| op(e0,e1) != e1
| op(e1,e0) != e1
| sP47_prd ),
inference(cnf_transformation,[status(thm)],[f617]) ).
fof(f624,definition,
( sP49_prd
<=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP49_prd])],[]) ).
fof(f625,plain,
( sP48_prd
<=> ( ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| sP49_prd ) ),
inference(formula_renaming,[status(thm)],[f615,f624]) ).
fof(f626,plain,
( ( ( ( op(e0,e1) != e0
| op(e1,e0) != e0
| op(e0,e1) != e1
| op(e1,e0) != e1 )
& ~ sP49_prd )
| sP48_prd )
& ( ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| sP49_prd
| ~ sP48_prd ) ),
inference(NNF_transformation,[status(thm)],[f625]) ).
fof(f627,plain,
( op(e1,e0) = e1
| sP49_prd
| ~ sP48_prd ),
inference(cnf_transformation,[status(thm)],[f626]) ).
fof(f628,plain,
( op(e0,e1) = e1
| sP49_prd
| ~ sP48_prd ),
inference(cnf_transformation,[status(thm)],[f626]) ).
fof(f629,plain,
( op(e1,e0) = e0
| sP49_prd
| ~ sP48_prd ),
inference(cnf_transformation,[status(thm)],[f626]) ).
fof(f630,plain,
( op(e0,e1) = e0
| sP49_prd
| ~ sP48_prd ),
inference(cnf_transformation,[status(thm)],[f626]) ).
fof(f631,plain,
( ~ sP49_prd
| sP48_prd ),
inference(cnf_transformation,[status(thm)],[f626]) ).
fof(f633,definition,
( sP50_prd
<=> ( ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP50_prd])],[]) ).
fof(f634,plain,
( sP49_prd
<=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| sP50_prd ) ),
inference(formula_renaming,[status(thm)],[f624,f633]) ).
fof(f635,plain,
( ( ( ( op(e0,e0) != e0
| op(e0,e0) != e0
| op(e0,e1) != e1
| op(e1,e0) != e1 )
& ~ sP50_prd )
| sP49_prd )
& ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| sP50_prd
| ~ sP49_prd ) ),
inference(NNF_transformation,[status(thm)],[f634]) ).
fof(f636,plain,
( op(e1,e0) = e1
| sP50_prd
| ~ sP49_prd ),
inference(cnf_transformation,[status(thm)],[f635]) ).
fof(f637,plain,
( op(e0,e1) = e1
| sP50_prd
| ~ sP49_prd ),
inference(cnf_transformation,[status(thm)],[f635]) ).
fof(f638,plain,
( op(e0,e0) = e0
| sP50_prd
| ~ sP49_prd ),
inference(cnf_transformation,[status(thm)],[f635]) ).
fof(f640,plain,
( ~ sP50_prd
| sP49_prd ),
inference(cnf_transformation,[status(thm)],[f635]) ).
fof(f642,definition,
( sP51_prd
<=> ( ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP51_prd])],[]) ).
fof(f643,plain,
( sP50_prd
<=> ( ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| sP51_prd ) ),
inference(formula_renaming,[status(thm)],[f633,f642]) ).
fof(f644,plain,
( ( ( ( op(e3,e3) != e3
| op(e3,e3) != e3
| op(e3,e0) != e0
| op(e0,e3) != e0 )
& ~ sP51_prd )
| sP50_prd )
& ( ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| sP51_prd
| ~ sP50_prd ) ),
inference(NNF_transformation,[status(thm)],[f643]) ).
fof(f645,plain,
( op(e0,e3) = e0
| sP51_prd
| ~ sP50_prd ),
inference(cnf_transformation,[status(thm)],[f644]) ).
fof(f646,plain,
( op(e3,e0) = e0
| sP51_prd
| ~ sP50_prd ),
inference(cnf_transformation,[status(thm)],[f644]) ).
fof(f647,plain,
( op(e3,e3) = e3
| sP51_prd
| ~ sP50_prd ),
inference(cnf_transformation,[status(thm)],[f644]) ).
fof(f649,plain,
( ~ sP51_prd
| sP50_prd ),
inference(cnf_transformation,[status(thm)],[f644]) ).
fof(f650,plain,
( op(e3,e3) != e3
| op(e3,e3) != e3
| op(e3,e0) != e0
| op(e0,e3) != e0
| sP50_prd ),
inference(cnf_transformation,[status(thm)],[f644]) ).
fof(f651,definition,
( sP52_prd
<=> ( ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP52_prd])],[]) ).
fof(f652,plain,
( sP51_prd
<=> ( ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| sP52_prd ) ),
inference(formula_renaming,[status(thm)],[f642,f651]) ).
fof(f653,plain,
( ( ( ( op(e3,e2) != e3
| op(e2,e3) != e3
| op(e3,e0) != e0
| op(e0,e3) != e0 )
& ~ sP52_prd )
| sP51_prd )
& ( ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| sP52_prd
| ~ sP51_prd ) ),
inference(NNF_transformation,[status(thm)],[f652]) ).
fof(f654,plain,
( op(e0,e3) = e0
| sP52_prd
| ~ sP51_prd ),
inference(cnf_transformation,[status(thm)],[f653]) ).
fof(f655,plain,
( op(e3,e0) = e0
| sP52_prd
| ~ sP51_prd ),
inference(cnf_transformation,[status(thm)],[f653]) ).
fof(f656,plain,
( op(e2,e3) = e3
| sP52_prd
| ~ sP51_prd ),
inference(cnf_transformation,[status(thm)],[f653]) ).
fof(f657,plain,
( op(e3,e2) = e3
| sP52_prd
| ~ sP51_prd ),
inference(cnf_transformation,[status(thm)],[f653]) ).
fof(f658,plain,
( ~ sP52_prd
| sP51_prd ),
inference(cnf_transformation,[status(thm)],[f653]) ).
fof(f659,plain,
( op(e3,e2) != e3
| op(e2,e3) != e3
| op(e3,e0) != e0
| op(e0,e3) != e0
| sP51_prd ),
inference(cnf_transformation,[status(thm)],[f653]) ).
fof(f660,definition,
( sP53_prd
<=> ( ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP53_prd])],[]) ).
fof(f661,plain,
( sP52_prd
<=> ( ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| sP53_prd ) ),
inference(formula_renaming,[status(thm)],[f651,f660]) ).
fof(f662,plain,
( ( ( ( op(e3,e1) != e3
| op(e1,e3) != e3
| op(e3,e0) != e0
| op(e0,e3) != e0 )
& ~ sP53_prd )
| sP52_prd )
& ( ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| sP53_prd
| ~ sP52_prd ) ),
inference(NNF_transformation,[status(thm)],[f661]) ).
fof(f663,plain,
( op(e0,e3) = e0
| sP53_prd
| ~ sP52_prd ),
inference(cnf_transformation,[status(thm)],[f662]) ).
fof(f664,plain,
( op(e3,e0) = e0
| sP53_prd
| ~ sP52_prd ),
inference(cnf_transformation,[status(thm)],[f662]) ).
fof(f665,plain,
( op(e1,e3) = e3
| sP53_prd
| ~ sP52_prd ),
inference(cnf_transformation,[status(thm)],[f662]) ).
fof(f666,plain,
( op(e3,e1) = e3
| sP53_prd
| ~ sP52_prd ),
inference(cnf_transformation,[status(thm)],[f662]) ).
fof(f667,plain,
( ~ sP53_prd
| sP52_prd ),
inference(cnf_transformation,[status(thm)],[f662]) ).
fof(f668,plain,
( op(e3,e1) != e3
| op(e1,e3) != e3
| op(e3,e0) != e0
| op(e0,e3) != e0
| sP52_prd ),
inference(cnf_transformation,[status(thm)],[f662]) ).
fof(f669,definition,
( sP54_prd
<=> ( ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP54_prd])],[]) ).
fof(f670,plain,
( sP53_prd
<=> ( ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| sP54_prd ) ),
inference(formula_renaming,[status(thm)],[f660,f669]) ).
fof(f671,plain,
( ( ( ( op(e3,e0) != e3
| op(e0,e3) != e3
| op(e3,e0) != e0
| op(e0,e3) != e0 )
& ~ sP54_prd )
| sP53_prd )
& ( ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| sP54_prd
| ~ sP53_prd ) ),
inference(NNF_transformation,[status(thm)],[f670]) ).
fof(f672,plain,
( op(e0,e3) = e0
| sP54_prd
| ~ sP53_prd ),
inference(cnf_transformation,[status(thm)],[f671]) ).
fof(f673,plain,
( op(e3,e0) = e0
| sP54_prd
| ~ sP53_prd ),
inference(cnf_transformation,[status(thm)],[f671]) ).
fof(f675,plain,
( op(e3,e0) = e3
| sP54_prd
| ~ sP53_prd ),
inference(cnf_transformation,[status(thm)],[f671]) ).
fof(f676,plain,
( ~ sP54_prd
| sP53_prd ),
inference(cnf_transformation,[status(thm)],[f671]) ).
fof(f678,definition,
( sP55_prd
<=> ( ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP55_prd])],[]) ).
fof(f679,plain,
( sP54_prd
<=> ( ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| sP55_prd ) ),
inference(formula_renaming,[status(thm)],[f669,f678]) ).
fof(f680,plain,
( ( ( ( op(e2,e3) != e2
| op(e3,e2) != e2
| op(e2,e0) != e0
| op(e0,e2) != e0 )
& ~ sP55_prd )
| sP54_prd )
& ( ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| sP55_prd
| ~ sP54_prd ) ),
inference(NNF_transformation,[status(thm)],[f679]) ).
fof(f681,plain,
( op(e0,e2) = e0
| sP55_prd
| ~ sP54_prd ),
inference(cnf_transformation,[status(thm)],[f680]) ).
fof(f682,plain,
( op(e2,e0) = e0
| sP55_prd
| ~ sP54_prd ),
inference(cnf_transformation,[status(thm)],[f680]) ).
fof(f683,plain,
( op(e3,e2) = e2
| sP55_prd
| ~ sP54_prd ),
inference(cnf_transformation,[status(thm)],[f680]) ).
fof(f684,plain,
( op(e2,e3) = e2
| sP55_prd
| ~ sP54_prd ),
inference(cnf_transformation,[status(thm)],[f680]) ).
fof(f685,plain,
( ~ sP55_prd
| sP54_prd ),
inference(cnf_transformation,[status(thm)],[f680]) ).
fof(f687,definition,
( sP56_prd
<=> ( ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP56_prd])],[]) ).
fof(f688,plain,
( sP55_prd
<=> ( ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| sP56_prd ) ),
inference(formula_renaming,[status(thm)],[f678,f687]) ).
fof(f689,plain,
( ( ( ( op(e2,e2) != e2
| op(e2,e2) != e2
| op(e2,e0) != e0
| op(e0,e2) != e0 )
& ~ sP56_prd )
| sP55_prd )
& ( ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| sP56_prd
| ~ sP55_prd ) ),
inference(NNF_transformation,[status(thm)],[f688]) ).
fof(f690,plain,
( op(e0,e2) = e0
| sP56_prd
| ~ sP55_prd ),
inference(cnf_transformation,[status(thm)],[f689]) ).
fof(f691,plain,
( op(e2,e0) = e0
| sP56_prd
| ~ sP55_prd ),
inference(cnf_transformation,[status(thm)],[f689]) ).
fof(f692,plain,
( op(e2,e2) = e2
| sP56_prd
| ~ sP55_prd ),
inference(cnf_transformation,[status(thm)],[f689]) ).
fof(f694,plain,
( ~ sP56_prd
| sP55_prd ),
inference(cnf_transformation,[status(thm)],[f689]) ).
fof(f696,definition,
( sP57_prd
<=> ( ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP57_prd])],[]) ).
fof(f697,plain,
( sP56_prd
<=> ( ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| sP57_prd ) ),
inference(formula_renaming,[status(thm)],[f687,f696]) ).
fof(f698,plain,
( ( ( ( op(e2,e1) != e2
| op(e1,e2) != e2
| op(e2,e0) != e0
| op(e0,e2) != e0 )
& ~ sP57_prd )
| sP56_prd )
& ( ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| sP57_prd
| ~ sP56_prd ) ),
inference(NNF_transformation,[status(thm)],[f697]) ).
fof(f699,plain,
( op(e0,e2) = e0
| sP57_prd
| ~ sP56_prd ),
inference(cnf_transformation,[status(thm)],[f698]) ).
fof(f700,plain,
( op(e2,e0) = e0
| sP57_prd
| ~ sP56_prd ),
inference(cnf_transformation,[status(thm)],[f698]) ).
fof(f701,plain,
( op(e1,e2) = e2
| sP57_prd
| ~ sP56_prd ),
inference(cnf_transformation,[status(thm)],[f698]) ).
fof(f702,plain,
( op(e2,e1) = e2
| sP57_prd
| ~ sP56_prd ),
inference(cnf_transformation,[status(thm)],[f698]) ).
fof(f703,plain,
( ~ sP57_prd
| sP56_prd ),
inference(cnf_transformation,[status(thm)],[f698]) ).
fof(f704,plain,
( op(e2,e1) != e2
| op(e1,e2) != e2
| op(e2,e0) != e0
| op(e0,e2) != e0
| sP56_prd ),
inference(cnf_transformation,[status(thm)],[f698]) ).
fof(f705,definition,
( sP58_prd
<=> ( ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP58_prd])],[]) ).
fof(f706,plain,
( sP57_prd
<=> ( ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| sP58_prd ) ),
inference(formula_renaming,[status(thm)],[f696,f705]) ).
fof(f707,plain,
( ( ( ( op(e2,e0) != e2
| op(e0,e2) != e2
| op(e2,e0) != e0
| op(e0,e2) != e0 )
& ~ sP58_prd )
| sP57_prd )
& ( ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| sP58_prd
| ~ sP57_prd ) ),
inference(NNF_transformation,[status(thm)],[f706]) ).
fof(f708,plain,
( op(e0,e2) = e0
| sP58_prd
| ~ sP57_prd ),
inference(cnf_transformation,[status(thm)],[f707]) ).
fof(f709,plain,
( op(e2,e0) = e0
| sP58_prd
| ~ sP57_prd ),
inference(cnf_transformation,[status(thm)],[f707]) ).
fof(f710,plain,
( op(e0,e2) = e2
| sP58_prd
| ~ sP57_prd ),
inference(cnf_transformation,[status(thm)],[f707]) ).
fof(f711,plain,
( op(e2,e0) = e2
| sP58_prd
| ~ sP57_prd ),
inference(cnf_transformation,[status(thm)],[f707]) ).
fof(f712,plain,
( ~ sP58_prd
| sP57_prd ),
inference(cnf_transformation,[status(thm)],[f707]) ).
fof(f714,definition,
( sP59_prd
<=> ( ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP59_prd])],[]) ).
fof(f715,plain,
( sP58_prd
<=> ( ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| sP59_prd ) ),
inference(formula_renaming,[status(thm)],[f705,f714]) ).
fof(f716,plain,
( ( ( ( op(e1,e3) != e1
| op(e3,e1) != e1
| op(e1,e0) != e0
| op(e0,e1) != e0 )
& ~ sP59_prd )
| sP58_prd )
& ( ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| sP59_prd
| ~ sP58_prd ) ),
inference(NNF_transformation,[status(thm)],[f715]) ).
fof(f717,plain,
( op(e0,e1) = e0
| sP59_prd
| ~ sP58_prd ),
inference(cnf_transformation,[status(thm)],[f716]) ).
fof(f718,plain,
( op(e1,e0) = e0
| sP59_prd
| ~ sP58_prd ),
inference(cnf_transformation,[status(thm)],[f716]) ).
fof(f719,plain,
( op(e3,e1) = e1
| sP59_prd
| ~ sP58_prd ),
inference(cnf_transformation,[status(thm)],[f716]) ).
fof(f720,plain,
( op(e1,e3) = e1
| sP59_prd
| ~ sP58_prd ),
inference(cnf_transformation,[status(thm)],[f716]) ).
fof(f721,plain,
( ~ sP59_prd
| sP58_prd ),
inference(cnf_transformation,[status(thm)],[f716]) ).
fof(f723,definition,
( sP60_prd
<=> ( ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP60_prd])],[]) ).
fof(f724,plain,
( sP59_prd
<=> ( ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| sP60_prd ) ),
inference(formula_renaming,[status(thm)],[f714,f723]) ).
fof(f725,plain,
( ( ( ( op(e1,e2) != e1
| op(e2,e1) != e1
| op(e1,e0) != e0
| op(e0,e1) != e0 )
& ~ sP60_prd )
| sP59_prd )
& ( ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| sP60_prd
| ~ sP59_prd ) ),
inference(NNF_transformation,[status(thm)],[f724]) ).
fof(f726,plain,
( op(e0,e1) = e0
| sP60_prd
| ~ sP59_prd ),
inference(cnf_transformation,[status(thm)],[f725]) ).
fof(f727,plain,
( op(e1,e0) = e0
| sP60_prd
| ~ sP59_prd ),
inference(cnf_transformation,[status(thm)],[f725]) ).
fof(f728,plain,
( op(e2,e1) = e1
| sP60_prd
| ~ sP59_prd ),
inference(cnf_transformation,[status(thm)],[f725]) ).
fof(f729,plain,
( op(e1,e2) = e1
| sP60_prd
| ~ sP59_prd ),
inference(cnf_transformation,[status(thm)],[f725]) ).
fof(f730,plain,
( ~ sP60_prd
| sP59_prd ),
inference(cnf_transformation,[status(thm)],[f725]) ).
fof(f732,definition,
( sP61_prd
<=> ( ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP61_prd])],[]) ).
fof(f733,plain,
( sP60_prd
<=> ( ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| sP61_prd ) ),
inference(formula_renaming,[status(thm)],[f723,f732]) ).
fof(f734,plain,
( ( ( ( op(e1,e1) != e1
| op(e1,e1) != e1
| op(e1,e0) != e0
| op(e0,e1) != e0 )
& ~ sP61_prd )
| sP60_prd )
& ( ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| sP61_prd
| ~ sP60_prd ) ),
inference(NNF_transformation,[status(thm)],[f733]) ).
fof(f735,plain,
( op(e0,e1) = e0
| sP61_prd
| ~ sP60_prd ),
inference(cnf_transformation,[status(thm)],[f734]) ).
fof(f736,plain,
( op(e1,e0) = e0
| sP61_prd
| ~ sP60_prd ),
inference(cnf_transformation,[status(thm)],[f734]) ).
fof(f737,plain,
( op(e1,e1) = e1
| sP61_prd
| ~ sP60_prd ),
inference(cnf_transformation,[status(thm)],[f734]) ).
fof(f739,plain,
( ~ sP61_prd
| sP60_prd ),
inference(cnf_transformation,[status(thm)],[f734]) ).
fof(f741,definition,
( sP62_prd
<=> ( ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP62_prd])],[]) ).
fof(f742,plain,
( sP61_prd
<=> ( ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| sP62_prd ) ),
inference(formula_renaming,[status(thm)],[f732,f741]) ).
fof(f743,plain,
( ( ( ( op(e1,e0) != e1
| op(e0,e1) != e1
| op(e1,e0) != e0
| op(e0,e1) != e0 )
& ~ sP62_prd )
| sP61_prd )
& ( ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| sP62_prd
| ~ sP61_prd ) ),
inference(NNF_transformation,[status(thm)],[f742]) ).
fof(f744,plain,
( op(e0,e1) = e0
| sP62_prd
| ~ sP61_prd ),
inference(cnf_transformation,[status(thm)],[f743]) ).
fof(f746,plain,
( op(e0,e1) = e1
| sP62_prd
| ~ sP61_prd ),
inference(cnf_transformation,[status(thm)],[f743]) ).
fof(f748,plain,
( ~ sP62_prd
| sP61_prd ),
inference(cnf_transformation,[status(thm)],[f743]) ).
fof(f750,definition,
( sP63_prd
<=> ( ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP63_prd])],[]) ).
fof(f751,plain,
( sP62_prd
<=> ( ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| sP63_prd ) ),
inference(formula_renaming,[status(thm)],[f741,f750]) ).
fof(f752,plain,
( ( ( ( op(e0,e3) != e0
| op(e3,e0) != e0
| op(e0,e0) != e0
| op(e0,e0) != e0 )
& ~ sP63_prd )
| sP62_prd )
& ( ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| sP63_prd
| ~ sP62_prd ) ),
inference(NNF_transformation,[status(thm)],[f751]) ).
fof(f753,plain,
( op(e0,e0) = e0
| sP63_prd
| ~ sP62_prd ),
inference(cnf_transformation,[status(thm)],[f752]) ).
fof(f757,plain,
( ~ sP63_prd
| sP62_prd ),
inference(cnf_transformation,[status(thm)],[f752]) ).
fof(f759,definition,
( sP64_prd
<=> ( ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP64_prd])],[]) ).
fof(f760,plain,
( sP63_prd
<=> ( ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| sP64_prd ) ),
inference(formula_renaming,[status(thm)],[f750,f759]) ).
fof(f761,plain,
( ( ( ( op(e0,e2) != e0
| op(e2,e0) != e0
| op(e0,e0) != e0
| op(e0,e0) != e0 )
& ~ sP64_prd )
| sP63_prd )
& ( ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| sP64_prd
| ~ sP63_prd ) ),
inference(NNF_transformation,[status(thm)],[f760]) ).
fof(f762,plain,
( op(e0,e0) = e0
| sP64_prd
| ~ sP63_prd ),
inference(cnf_transformation,[status(thm)],[f761]) ).
fof(f766,plain,
( ~ sP64_prd
| sP63_prd ),
inference(cnf_transformation,[status(thm)],[f761]) ).
fof(f768,definition,
( sP65_prd
<=> ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ),
introduced(definition,[new_symbols(definition,[sP65_prd])],[]) ).
fof(f769,plain,
( sP64_prd
<=> ( ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| sP65_prd ) ),
inference(formula_renaming,[status(thm)],[f759,f768]) ).
fof(f770,plain,
( ( ( ( op(e0,e1) != e0
| op(e1,e0) != e0
| op(e0,e0) != e0
| op(e0,e0) != e0 )
& ~ sP65_prd )
| sP64_prd )
& ( ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| sP65_prd
| ~ sP64_prd ) ),
inference(NNF_transformation,[status(thm)],[f769]) ).
fof(f771,plain,
( op(e0,e0) = e0
| sP65_prd
| ~ sP64_prd ),
inference(cnf_transformation,[status(thm)],[f770]) ).
fof(f775,plain,
( ~ sP65_prd
| sP64_prd ),
inference(cnf_transformation,[status(thm)],[f770]) ).
fof(f777,plain,
( ( op(e0,e0) != e0
| op(e0,e0) != e0
| op(e0,e0) != e0
| op(e0,e0) != e0
| sP65_prd )
& ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ~ sP65_prd ) ),
inference(NNF_transformation,[status(thm)],[f768]) ).
fof(f778,plain,
( op(e0,e0) = e0
| ~ sP65_prd ),
inference(cnf_transformation,[status(thm)],[f777]) ).
fof(f782,plain,
( op(e0,e0) != e0
| op(e0,e0) != e0
| op(e0,e0) != e0
| op(e0,e0) != e0
| sP65_prd ),
inference(cnf_transformation,[status(thm)],[f777]) ).
fof(f783,definition,
( sQ0_spl
<=> op(e0,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f784,plain,
( ~ sQ0_spl
| op(e0,e0) = e0 ),
inference(component_clause,[status(thm)],[f783]) ).
fof(f786,definition,
( sQ1_spl
<=> op(e0,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f787,plain,
( ~ sQ1_spl
| op(e0,e0) = e1 ),
inference(component_clause,[status(thm)],[f786]) ).
fof(f789,definition,
( sQ2_spl
<=> op(e0,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f790,plain,
( ~ sQ2_spl
| op(e0,e0) = e2 ),
inference(component_clause,[status(thm)],[f789]) ).
fof(f792,definition,
( sQ3_spl
<=> op(e0,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f793,plain,
( ~ sQ3_spl
| op(e0,e0) = e3 ),
inference(component_clause,[status(thm)],[f792]) ).
fof(f795,plain,
( sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f30,f783,f786,f789,f792]) ).
fof(f796,definition,
( sQ4_spl
<=> op(e0,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f797,plain,
( ~ sQ4_spl
| op(e0,e1) = e0 ),
inference(component_clause,[status(thm)],[f796]) ).
fof(f799,definition,
( sQ5_spl
<=> op(e0,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f800,plain,
( ~ sQ5_spl
| op(e0,e1) = e1 ),
inference(component_clause,[status(thm)],[f799]) ).
fof(f802,definition,
( sQ6_spl
<=> op(e0,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f803,plain,
( ~ sQ6_spl
| op(e0,e1) = e2 ),
inference(component_clause,[status(thm)],[f802]) ).
fof(f805,definition,
( sQ7_spl
<=> op(e0,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f806,plain,
( ~ sQ7_spl
| op(e0,e1) = e3 ),
inference(component_clause,[status(thm)],[f805]) ).
fof(f808,plain,
( sQ7_spl
| sQ6_spl
| sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f31,f796,f799,f802,f805]) ).
fof(f809,definition,
( sQ8_spl
<=> op(e0,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f810,plain,
( ~ sQ8_spl
| op(e0,e2) = e0 ),
inference(component_clause,[status(thm)],[f809]) ).
fof(f812,definition,
( sQ9_spl
<=> op(e0,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f813,plain,
( ~ sQ9_spl
| op(e0,e2) = e1 ),
inference(component_clause,[status(thm)],[f812]) ).
fof(f815,definition,
( sQ10_spl
<=> op(e0,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f816,plain,
( ~ sQ10_spl
| op(e0,e2) = e2 ),
inference(component_clause,[status(thm)],[f815]) ).
fof(f818,definition,
( sQ11_spl
<=> op(e0,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f819,plain,
( ~ sQ11_spl
| op(e0,e2) = e3 ),
inference(component_clause,[status(thm)],[f818]) ).
fof(f821,plain,
( sQ11_spl
| sQ10_spl
| sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f32,f809,f812,f815,f818]) ).
fof(f822,definition,
( sQ12_spl
<=> op(e0,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f823,plain,
( ~ sQ12_spl
| op(e0,e3) = e0 ),
inference(component_clause,[status(thm)],[f822]) ).
fof(f824,plain,
( sQ12_spl
| op(e0,e3) != e0 ),
inference(component_clause,[status(thm)],[f822]) ).
fof(f825,definition,
( sQ13_spl
<=> op(e0,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f826,plain,
( ~ sQ13_spl
| op(e0,e3) = e1 ),
inference(component_clause,[status(thm)],[f825]) ).
fof(f828,definition,
( sQ14_spl
<=> op(e0,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f829,plain,
( ~ sQ14_spl
| op(e0,e3) = e2 ),
inference(component_clause,[status(thm)],[f828]) ).
fof(f831,definition,
( sQ15_spl
<=> op(e0,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f832,plain,
( ~ sQ15_spl
| op(e0,e3) = e3 ),
inference(component_clause,[status(thm)],[f831]) ).
fof(f834,plain,
( sQ15_spl
| sQ14_spl
| sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f33,f822,f825,f828,f831]) ).
fof(f835,definition,
( sQ16_spl
<=> op(e1,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f836,plain,
( ~ sQ16_spl
| op(e1,e0) = e0 ),
inference(component_clause,[status(thm)],[f835]) ).
fof(f838,definition,
( sQ17_spl
<=> op(e1,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f839,plain,
( ~ sQ17_spl
| op(e1,e0) = e1 ),
inference(component_clause,[status(thm)],[f838]) ).
fof(f841,definition,
( sQ18_spl
<=> op(e1,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f842,plain,
( ~ sQ18_spl
| op(e1,e0) = e2 ),
inference(component_clause,[status(thm)],[f841]) ).
fof(f844,definition,
( sQ19_spl
<=> op(e1,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f845,plain,
( ~ sQ19_spl
| op(e1,e0) = e3 ),
inference(component_clause,[status(thm)],[f844]) ).
fof(f847,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f34,f835,f838,f841,f844]) ).
fof(f848,definition,
( sQ20_spl
<=> op(e1,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f849,plain,
( ~ sQ20_spl
| op(e1,e1) = e0 ),
inference(component_clause,[status(thm)],[f848]) ).
fof(f851,definition,
( sQ21_spl
<=> op(e1,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f852,plain,
( ~ sQ21_spl
| op(e1,e1) = e1 ),
inference(component_clause,[status(thm)],[f851]) ).
fof(f854,definition,
( sQ22_spl
<=> op(e1,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f855,plain,
( ~ sQ22_spl
| op(e1,e1) = e2 ),
inference(component_clause,[status(thm)],[f854]) ).
fof(f857,definition,
( sQ23_spl
<=> op(e1,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f858,plain,
( ~ sQ23_spl
| op(e1,e1) = e3 ),
inference(component_clause,[status(thm)],[f857]) ).
fof(f860,plain,
( sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f35,f848,f851,f854,f857]) ).
fof(f861,definition,
( sQ24_spl
<=> op(e1,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f862,plain,
( ~ sQ24_spl
| op(e1,e2) = e0 ),
inference(component_clause,[status(thm)],[f861]) ).
fof(f864,definition,
( sQ25_spl
<=> op(e1,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f865,plain,
( ~ sQ25_spl
| op(e1,e2) = e1 ),
inference(component_clause,[status(thm)],[f864]) ).
fof(f867,definition,
( sQ26_spl
<=> op(e1,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f868,plain,
( ~ sQ26_spl
| op(e1,e2) = e2 ),
inference(component_clause,[status(thm)],[f867]) ).
fof(f870,definition,
( sQ27_spl
<=> op(e1,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f871,plain,
( ~ sQ27_spl
| op(e1,e2) = e3 ),
inference(component_clause,[status(thm)],[f870]) ).
fof(f873,plain,
( sQ27_spl
| sQ26_spl
| sQ25_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f36,f861,f864,f867,f870]) ).
fof(f874,definition,
( sQ28_spl
<=> op(e1,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f875,plain,
( ~ sQ28_spl
| op(e1,e3) = e0 ),
inference(component_clause,[status(thm)],[f874]) ).
fof(f877,definition,
( sQ29_spl
<=> op(e1,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f878,plain,
( ~ sQ29_spl
| op(e1,e3) = e1 ),
inference(component_clause,[status(thm)],[f877]) ).
fof(f880,definition,
( sQ30_spl
<=> op(e1,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f881,plain,
( ~ sQ30_spl
| op(e1,e3) = e2 ),
inference(component_clause,[status(thm)],[f880]) ).
fof(f883,definition,
( sQ31_spl
<=> op(e1,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f884,plain,
( ~ sQ31_spl
| op(e1,e3) = e3 ),
inference(component_clause,[status(thm)],[f883]) ).
fof(f886,plain,
( sQ31_spl
| sQ30_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f37,f874,f877,f880,f883]) ).
fof(f887,definition,
( sQ32_spl
<=> op(e2,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f888,plain,
( ~ sQ32_spl
| op(e2,e0) = e0 ),
inference(component_clause,[status(thm)],[f887]) ).
fof(f890,definition,
( sQ33_spl
<=> op(e2,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f891,plain,
( ~ sQ33_spl
| op(e2,e0) = e1 ),
inference(component_clause,[status(thm)],[f890]) ).
fof(f893,definition,
( sQ34_spl
<=> op(e2,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f894,plain,
( ~ sQ34_spl
| op(e2,e0) = e2 ),
inference(component_clause,[status(thm)],[f893]) ).
fof(f896,definition,
( sQ35_spl
<=> op(e2,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f897,plain,
( ~ sQ35_spl
| op(e2,e0) = e3 ),
inference(component_clause,[status(thm)],[f896]) ).
fof(f899,plain,
( sQ35_spl
| sQ34_spl
| sQ33_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f38,f887,f890,f893,f896]) ).
fof(f900,definition,
( sQ36_spl
<=> op(e2,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f901,plain,
( ~ sQ36_spl
| op(e2,e1) = e0 ),
inference(component_clause,[status(thm)],[f900]) ).
fof(f903,definition,
( sQ37_spl
<=> op(e2,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f904,plain,
( ~ sQ37_spl
| op(e2,e1) = e1 ),
inference(component_clause,[status(thm)],[f903]) ).
fof(f906,definition,
( sQ38_spl
<=> op(e2,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f907,plain,
( ~ sQ38_spl
| op(e2,e1) = e2 ),
inference(component_clause,[status(thm)],[f906]) ).
fof(f909,definition,
( sQ39_spl
<=> op(e2,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f910,plain,
( ~ sQ39_spl
| op(e2,e1) = e3 ),
inference(component_clause,[status(thm)],[f909]) ).
fof(f912,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f39,f900,f903,f906,f909]) ).
fof(f913,definition,
( sQ40_spl
<=> op(e2,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f914,plain,
( ~ sQ40_spl
| op(e2,e2) = e0 ),
inference(component_clause,[status(thm)],[f913]) ).
fof(f916,definition,
( sQ41_spl
<=> op(e2,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f917,plain,
( ~ sQ41_spl
| op(e2,e2) = e1 ),
inference(component_clause,[status(thm)],[f916]) ).
fof(f919,definition,
( sQ42_spl
<=> op(e2,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f920,plain,
( ~ sQ42_spl
| op(e2,e2) = e2 ),
inference(component_clause,[status(thm)],[f919]) ).
fof(f922,definition,
( sQ43_spl
<=> op(e2,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f923,plain,
( ~ sQ43_spl
| op(e2,e2) = e3 ),
inference(component_clause,[status(thm)],[f922]) ).
fof(f925,plain,
( sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f40,f913,f916,f919,f922]) ).
fof(f926,definition,
( sQ44_spl
<=> op(e2,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f927,plain,
( ~ sQ44_spl
| op(e2,e3) = e0 ),
inference(component_clause,[status(thm)],[f926]) ).
fof(f929,definition,
( sQ45_spl
<=> op(e2,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f930,plain,
( ~ sQ45_spl
| op(e2,e3) = e1 ),
inference(component_clause,[status(thm)],[f929]) ).
fof(f932,definition,
( sQ46_spl
<=> op(e2,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f933,plain,
( ~ sQ46_spl
| op(e2,e3) = e2 ),
inference(component_clause,[status(thm)],[f932]) ).
fof(f935,definition,
( sQ47_spl
<=> op(e2,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f936,plain,
( ~ sQ47_spl
| op(e2,e3) = e3 ),
inference(component_clause,[status(thm)],[f935]) ).
fof(f938,plain,
( sQ47_spl
| sQ46_spl
| sQ45_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f41,f926,f929,f932,f935]) ).
fof(f939,definition,
( sQ48_spl
<=> op(e3,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f940,plain,
( ~ sQ48_spl
| op(e3,e0) = e0 ),
inference(component_clause,[status(thm)],[f939]) ).
fof(f942,definition,
( sQ49_spl
<=> op(e3,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f943,plain,
( ~ sQ49_spl
| op(e3,e0) = e1 ),
inference(component_clause,[status(thm)],[f942]) ).
fof(f945,definition,
( sQ50_spl
<=> op(e3,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f946,plain,
( ~ sQ50_spl
| op(e3,e0) = e2 ),
inference(component_clause,[status(thm)],[f945]) ).
fof(f948,definition,
( sQ51_spl
<=> op(e3,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f949,plain,
( ~ sQ51_spl
| op(e3,e0) = e3 ),
inference(component_clause,[status(thm)],[f948]) ).
fof(f951,plain,
( sQ51_spl
| sQ50_spl
| sQ49_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f42,f939,f942,f945,f948]) ).
fof(f952,definition,
( sQ52_spl
<=> op(e3,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f953,plain,
( ~ sQ52_spl
| op(e3,e1) = e0 ),
inference(component_clause,[status(thm)],[f952]) ).
fof(f955,definition,
( sQ53_spl
<=> op(e3,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f956,plain,
( ~ sQ53_spl
| op(e3,e1) = e1 ),
inference(component_clause,[status(thm)],[f955]) ).
fof(f958,definition,
( sQ54_spl
<=> op(e3,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f959,plain,
( ~ sQ54_spl
| op(e3,e1) = e2 ),
inference(component_clause,[status(thm)],[f958]) ).
fof(f961,definition,
( sQ55_spl
<=> op(e3,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f962,plain,
( ~ sQ55_spl
| op(e3,e1) = e3 ),
inference(component_clause,[status(thm)],[f961]) ).
fof(f964,plain,
( sQ55_spl
| sQ54_spl
| sQ53_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f43,f952,f955,f958,f961]) ).
fof(f965,definition,
( sQ56_spl
<=> op(e3,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f966,plain,
( ~ sQ56_spl
| op(e3,e2) = e0 ),
inference(component_clause,[status(thm)],[f965]) ).
fof(f968,definition,
( sQ57_spl
<=> op(e3,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f969,plain,
( ~ sQ57_spl
| op(e3,e2) = e1 ),
inference(component_clause,[status(thm)],[f968]) ).
fof(f971,definition,
( sQ58_spl
<=> op(e3,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f972,plain,
( ~ sQ58_spl
| op(e3,e2) = e2 ),
inference(component_clause,[status(thm)],[f971]) ).
fof(f974,definition,
( sQ59_spl
<=> op(e3,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f975,plain,
( ~ sQ59_spl
| op(e3,e2) = e3 ),
inference(component_clause,[status(thm)],[f974]) ).
fof(f977,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f44,f965,f968,f971,f974]) ).
fof(f978,definition,
( sQ60_spl
<=> op(e3,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f979,plain,
( ~ sQ60_spl
| op(e3,e3) = e0 ),
inference(component_clause,[status(thm)],[f978]) ).
fof(f981,definition,
( sQ61_spl
<=> op(e3,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f982,plain,
( ~ sQ61_spl
| op(e3,e3) = e1 ),
inference(component_clause,[status(thm)],[f981]) ).
fof(f984,definition,
( sQ62_spl
<=> op(e3,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f985,plain,
( ~ sQ62_spl
| op(e3,e3) = e2 ),
inference(component_clause,[status(thm)],[f984]) ).
fof(f987,definition,
( sQ63_spl
<=> op(e3,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f988,plain,
( ~ sQ63_spl
| op(e3,e3) = e3 ),
inference(component_clause,[status(thm)],[f987]) ).
fof(f990,plain,
( sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f45,f978,f981,f984,f987]) ).
fof(f991,plain,
( sQ12_spl
| sQ8_spl
| sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f46,f783,f796,f809,f822]) ).
fof(f992,plain,
( sQ48_spl
| sQ32_spl
| sQ16_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f47,f783,f835,f887,f939]) ).
fof(f993,plain,
( sQ13_spl
| sQ9_spl
| sQ5_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f48,f786,f799,f812,f825]) ).
fof(f994,plain,
( sQ49_spl
| sQ33_spl
| sQ17_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f49,f786,f838,f890,f942]) ).
fof(f995,plain,
( sQ14_spl
| sQ10_spl
| sQ6_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f50,f789,f802,f815,f828]) ).
fof(f996,plain,
( sQ50_spl
| sQ34_spl
| sQ18_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f51,f789,f841,f893,f945]) ).
fof(f997,plain,
( sQ15_spl
| sQ11_spl
| sQ7_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f52,f792,f805,f818,f831]) ).
fof(f998,plain,
( sQ51_spl
| sQ35_spl
| sQ19_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f53,f792,f844,f896,f948]) ).
fof(f999,plain,
( sQ28_spl
| sQ24_spl
| sQ20_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f54,f835,f848,f861,f874]) ).
fof(f1000,plain,
( sQ52_spl
| sQ36_spl
| sQ20_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f55,f796,f848,f900,f952]) ).
fof(f1001,plain,
( sQ29_spl
| sQ25_spl
| sQ21_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f56,f838,f851,f864,f877]) ).
fof(f1002,plain,
( sQ53_spl
| sQ37_spl
| sQ21_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f57,f799,f851,f903,f955]) ).
fof(f1003,plain,
( sQ30_spl
| sQ26_spl
| sQ22_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f58,f841,f854,f867,f880]) ).
fof(f1004,plain,
( sQ54_spl
| sQ38_spl
| sQ22_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f59,f802,f854,f906,f958]) ).
fof(f1005,plain,
( sQ31_spl
| sQ27_spl
| sQ23_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f60,f844,f857,f870,f883]) ).
fof(f1006,plain,
( sQ55_spl
| sQ39_spl
| sQ23_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f61,f805,f857,f909,f961]) ).
fof(f1007,plain,
( sQ44_spl
| sQ40_spl
| sQ36_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f62,f887,f900,f913,f926]) ).
fof(f1008,plain,
( sQ56_spl
| sQ40_spl
| sQ24_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f63,f809,f861,f913,f965]) ).
fof(f1009,plain,
( sQ45_spl
| sQ41_spl
| sQ37_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f64,f890,f903,f916,f929]) ).
fof(f1010,plain,
( sQ57_spl
| sQ41_spl
| sQ25_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f65,f812,f864,f916,f968]) ).
fof(f1011,plain,
( sQ46_spl
| sQ42_spl
| sQ38_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f66,f893,f906,f919,f932]) ).
fof(f1012,plain,
( sQ58_spl
| sQ42_spl
| sQ26_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f67,f815,f867,f919,f971]) ).
fof(f1013,plain,
( sQ47_spl
| sQ43_spl
| sQ39_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f68,f896,f909,f922,f935]) ).
fof(f1014,plain,
( sQ59_spl
| sQ43_spl
| sQ27_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f69,f818,f870,f922,f974]) ).
fof(f1015,plain,
( sQ60_spl
| sQ56_spl
| sQ52_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f70,f939,f952,f965,f978]) ).
fof(f1016,plain,
( sQ60_spl
| sQ44_spl
| sQ28_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f71,f822,f874,f926,f978]) ).
fof(f1017,plain,
( sQ61_spl
| sQ57_spl
| sQ53_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f72,f942,f955,f968,f981]) ).
fof(f1018,plain,
( sQ61_spl
| sQ45_spl
| sQ29_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f73,f825,f877,f929,f981]) ).
fof(f1019,plain,
( sQ62_spl
| sQ58_spl
| sQ54_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f74,f945,f958,f971,f984]) ).
fof(f1020,plain,
( sQ62_spl
| sQ46_spl
| sQ30_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f75,f828,f880,f932,f984]) ).
fof(f1021,plain,
( sQ63_spl
| sQ59_spl
| sQ55_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f76,f948,f961,f974,f987]) ).
fof(f1022,plain,
( sQ63_spl
| sQ47_spl
| sQ31_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f77,f831,f883,f935,f987]) ).
fof(f1023,plain,
( sQ51_spl
| sQ34_spl
| sQ17_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f135,f783,f838,f893,f948]) ).
fof(f1024,plain,
( sQ55_spl
| sQ38_spl
| sQ21_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f136,f796,f851,f906,f961]) ).
fof(f1025,plain,
( sQ59_spl
| sQ42_spl
| sQ25_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f137,f809,f864,f919,f974]) ).
fof(f1026,plain,
( sQ63_spl
| sQ46_spl
| sQ29_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f138,f822,f877,f932,f987]) ).
fof(f1027,definition,
( sQ64_spl
<=> sP0_prd ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f1030,definition,
( sQ65_spl
<=> op(e3,op(e3,e0)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f1032,plain,
( sQ65_spl
| op(e3,op(e3,e0)) != e0 ),
inference(component_clause,[status(thm)],[f1030]) ).
fof(f1033,plain,
( ~ sQ65_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f139,f1027,f1030]) ).
fof(f1034,definition,
( sQ66_spl
<=> op(e3,op(e3,e1)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f1035,plain,
( ~ sQ66_spl
| op(e3,op(e3,e1)) = e1 ),
inference(component_clause,[status(thm)],[f1034]) ).
fof(f1036,plain,
( sQ66_spl
| op(e3,op(e3,e1)) != e1 ),
inference(component_clause,[status(thm)],[f1034]) ).
fof(f1037,plain,
( ~ sQ66_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f140,f1027,f1034]) ).
fof(f1038,definition,
( sQ67_spl
<=> op(e3,op(e3,e2)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f1040,plain,
( sQ67_spl
| op(e3,op(e3,e2)) != e2 ),
inference(component_clause,[status(thm)],[f1038]) ).
fof(f1041,plain,
( ~ sQ67_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f141,f1027,f1038]) ).
fof(f1042,definition,
( sQ68_spl
<=> op(e3,op(e3,e3)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f1043,plain,
( ~ sQ68_spl
| op(e3,op(e3,e3)) = e3 ),
inference(component_clause,[status(thm)],[f1042]) ).
fof(f1044,plain,
( sQ68_spl
| op(e3,op(e3,e3)) != e3 ),
inference(component_clause,[status(thm)],[f1042]) ).
fof(f1045,plain,
( ~ sQ68_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f142,f1027,f1042]) ).
fof(f1046,definition,
( sQ69_spl
<=> sP1_prd ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f1049,plain,
( sQ63_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f143,f1046,f987]) ).
fof(f1053,definition,
( sQ70_spl
<=> e2 = op(op(op(e1,e1),e1),op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f1055,plain,
( sQ70_spl
| e2 != op(op(op(e1,e1),e1),op(e1,e1)) ),
inference(component_clause,[status(thm)],[f1053]) ).
fof(f1056,definition,
( sQ71_spl
<=> e3 = op(op(e1,e1),e1) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f1057,plain,
( ~ sQ71_spl
| e3 = op(op(e1,e1),e1) ),
inference(component_clause,[status(thm)],[f1056]) ).
fof(f1058,plain,
( sQ71_spl
| e3 != op(op(e1,e1),e1) ),
inference(component_clause,[status(thm)],[f1056]) ).
fof(f1059,plain,
( ~ sQ71_spl
| ~ sQ70_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f148,f848,f1053,f1056]) ).
fof(f1060,definition,
( sQ72_spl
<=> e3 = op(op(op(e1,e1),e1),op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f1062,plain,
( sQ72_spl
| e3 != op(op(op(e1,e1),e1),op(e1,e1)) ),
inference(component_clause,[status(thm)],[f1060]) ).
fof(f1063,definition,
( sQ73_spl
<=> e2 = op(op(e1,e1),e1) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f1065,plain,
( sQ73_spl
| e2 != op(op(e1,e1),e1) ),
inference(component_clause,[status(thm)],[f1063]) ).
fof(f1066,plain,
( ~ sQ73_spl
| ~ sQ72_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f150,f848,f1060,f1063]) ).
fof(f1067,definition,
( sQ74_spl
<=> e1 = op(op(op(e2,e2),e2),op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f1069,plain,
( sQ74_spl
| e1 != op(op(op(e2,e2),e2),op(e2,e2)) ),
inference(component_clause,[status(thm)],[f1067]) ).
fof(f1070,definition,
( sQ75_spl
<=> e3 = op(op(e2,e2),e2) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f1071,plain,
( ~ sQ75_spl
| e3 = op(op(e2,e2),e2) ),
inference(component_clause,[status(thm)],[f1070]) ).
fof(f1072,plain,
( sQ75_spl
| e3 != op(op(e2,e2),e2) ),
inference(component_clause,[status(thm)],[f1070]) ).
fof(f1073,plain,
( ~ sQ75_spl
| ~ sQ74_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f152,f913,f1067,f1070]) ).
fof(f1074,definition,
( sQ76_spl
<=> e3 = op(op(op(e2,e2),e2),op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f1077,definition,
( sQ77_spl
<=> e1 = op(op(e2,e2),e2) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f1079,plain,
( sQ77_spl
| e1 != op(op(e2,e2),e2) ),
inference(component_clause,[status(thm)],[f1077]) ).
fof(f1080,plain,
( ~ sQ77_spl
| ~ sQ76_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f154,f913,f1074,f1077]) ).
fof(f1081,definition,
( sQ78_spl
<=> e1 = op(op(op(e3,e3),e3),op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f1083,plain,
( sQ78_spl
| e1 != op(op(op(e3,e3),e3),op(e3,e3)) ),
inference(component_clause,[status(thm)],[f1081]) ).
fof(f1084,definition,
( sQ79_spl
<=> e2 = op(op(e3,e3),e3) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f1085,plain,
( ~ sQ79_spl
| e2 = op(op(e3,e3),e3) ),
inference(component_clause,[status(thm)],[f1084]) ).
fof(f1086,plain,
( sQ79_spl
| e2 != op(op(e3,e3),e3) ),
inference(component_clause,[status(thm)],[f1084]) ).
fof(f1087,plain,
( ~ sQ79_spl
| ~ sQ78_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f156,f978,f1081,f1084]) ).
fof(f1088,definition,
( sQ80_spl
<=> e2 = op(op(op(e3,e3),e3),op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f1090,plain,
( sQ80_spl
| e2 != op(op(op(e3,e3),e3),op(e3,e3)) ),
inference(component_clause,[status(thm)],[f1088]) ).
fof(f1091,definition,
( sQ81_spl
<=> e1 = op(op(e3,e3),e3) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f1092,plain,
( ~ sQ81_spl
| e1 = op(op(e3,e3),e3) ),
inference(component_clause,[status(thm)],[f1091]) ).
fof(f1093,plain,
( sQ81_spl
| e1 != op(op(e3,e3),e3) ),
inference(component_clause,[status(thm)],[f1091]) ).
fof(f1094,plain,
( ~ sQ81_spl
| ~ sQ80_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f158,f978,f1088,f1091]) ).
fof(f1095,definition,
( sQ82_spl
<=> e2 = op(op(op(e0,e0),e0),op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f1097,plain,
( sQ82_spl
| e2 != op(op(op(e0,e0),e0),op(e0,e0)) ),
inference(component_clause,[status(thm)],[f1095]) ).
fof(f1098,definition,
( sQ83_spl
<=> e3 = op(op(e0,e0),e0) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f1100,plain,
( sQ83_spl
| e3 != op(op(e0,e0),e0) ),
inference(component_clause,[status(thm)],[f1098]) ).
fof(f1101,plain,
( ~ sQ83_spl
| ~ sQ82_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f160,f786,f1095,f1098]) ).
fof(f1102,definition,
( sQ84_spl
<=> e3 = op(op(op(e0,e0),e0),op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f1104,plain,
( sQ84_spl
| e3 != op(op(op(e0,e0),e0),op(e0,e0)) ),
inference(component_clause,[status(thm)],[f1102]) ).
fof(f1105,definition,
( sQ85_spl
<=> e2 = op(op(e0,e0),e0) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f1107,plain,
( sQ85_spl
| e2 != op(op(e0,e0),e0) ),
inference(component_clause,[status(thm)],[f1105]) ).
fof(f1109,definition,
( sQ86_spl
<=> e0 = op(op(op(e2,e2),e2),op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f1111,plain,
( sQ86_spl
| e0 != op(op(op(e2,e2),e2),op(e2,e2)) ),
inference(component_clause,[status(thm)],[f1109]) ).
fof(f1112,plain,
( ~ sQ75_spl
| ~ sQ86_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f164,f916,f1109,f1070]) ).
fof(f1113,definition,
( sQ87_spl
<=> e0 = op(op(e2,e2),e2) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f1115,plain,
( sQ87_spl
| e0 != op(op(e2,e2),e2) ),
inference(component_clause,[status(thm)],[f1113]) ).
fof(f1117,definition,
( sQ88_spl
<=> e0 = op(op(op(e3,e3),e3),op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f1119,plain,
( sQ88_spl
| e0 != op(op(op(e3,e3),e3),op(e3,e3)) ),
inference(component_clause,[status(thm)],[f1117]) ).
fof(f1120,plain,
( ~ sQ79_spl
| ~ sQ88_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f168,f981,f1117,f1084]) ).
fof(f1121,definition,
( sQ89_spl
<=> e0 = op(op(e3,e3),e3) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f1122,plain,
( ~ sQ89_spl
| e0 = op(op(e3,e3),e3) ),
inference(component_clause,[status(thm)],[f1121]) ).
fof(f1123,plain,
( sQ89_spl
| e0 != op(op(e3,e3),e3) ),
inference(component_clause,[status(thm)],[f1121]) ).
fof(f1124,plain,
( ~ sQ89_spl
| ~ sQ80_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f170,f981,f1088,f1121]) ).
fof(f1125,definition,
( sQ90_spl
<=> e1 = op(op(op(e0,e0),e0),op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f1127,plain,
( sQ90_spl
| e1 != op(op(op(e0,e0),e0),op(e0,e0)) ),
inference(component_clause,[status(thm)],[f1125]) ).
fof(f1128,plain,
( ~ sQ83_spl
| ~ sQ90_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f172,f789,f1125,f1098]) ).
fof(f1129,definition,
( sQ91_spl
<=> e1 = op(op(e0,e0),e0) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f1131,plain,
( sQ91_spl
| e1 != op(op(e0,e0),e0) ),
inference(component_clause,[status(thm)],[f1129]) ).
fof(f1132,plain,
( ~ sQ91_spl
| ~ sQ84_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f174,f789,f1102,f1129]) ).
fof(f1133,definition,
( sQ92_spl
<=> e0 = op(op(op(e1,e1),e1),op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f1135,plain,
( sQ92_spl
| e0 != op(op(op(e1,e1),e1),op(e1,e1)) ),
inference(component_clause,[status(thm)],[f1133]) ).
fof(f1136,plain,
( ~ sQ71_spl
| ~ sQ92_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f176,f854,f1133,f1056]) ).
fof(f1141,plain,
( ~ sQ81_spl
| ~ sQ88_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f180,f984,f1117,f1091]) ).
fof(f1143,plain,
( ~ sQ85_spl
| ~ sQ90_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f184,f792,f1125,f1105]) ).
fof(f1145,plain,
( ~ sQ73_spl
| ~ sQ92_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f188,f857,f1133,f1063]) ).
fof(f1147,plain,
( ~ sQ77_spl
| ~ sQ86_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f192,f922,f1109,f1077]) ).
fof(f1148,plain,
( ~ sQ87_spl
| ~ sQ74_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f194,f922,f1067,f1113]) ).
fof(f1149,definition,
( sQ94_spl
<=> sP2_prd ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f1152,definition,
( sQ95_spl
<=> op(e2,op(e2,e0)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f1153,plain,
( ~ sQ95_spl
| op(e2,op(e2,e0)) = e0 ),
inference(component_clause,[status(thm)],[f1152]) ).
fof(f1154,plain,
( sQ95_spl
| op(e2,op(e2,e0)) != e0 ),
inference(component_clause,[status(thm)],[f1152]) ).
fof(f1155,plain,
( ~ sQ95_spl
| sQ94_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f198,f1027,f1149,f1152]) ).
fof(f1156,definition,
( sQ96_spl
<=> op(e2,op(e2,e1)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f1159,plain,
( ~ sQ96_spl
| sQ94_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f199,f1027,f1149,f1156]) ).
fof(f1160,definition,
( sQ97_spl
<=> op(e2,op(e2,e2)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f1161,plain,
( ~ sQ97_spl
| op(e2,op(e2,e2)) = e2 ),
inference(component_clause,[status(thm)],[f1160]) ).
fof(f1162,plain,
( sQ97_spl
| op(e2,op(e2,e2)) != e2 ),
inference(component_clause,[status(thm)],[f1160]) ).
fof(f1163,plain,
( ~ sQ97_spl
| sQ94_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f200,f1027,f1149,f1160]) ).
fof(f1164,definition,
( sQ98_spl
<=> op(e2,op(e2,e3)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f1167,plain,
( ~ sQ98_spl
| sQ94_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f201,f1027,f1149,f1164]) ).
fof(f1168,plain,
( ~ sQ94_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f202,f1027,f1149]) ).
fof(f1169,plain,
( sQ98_spl
| sQ97_spl
| sQ96_spl
| sQ95_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f203,f1027,f1152,f1156,f1160,f1164]) ).
fof(f1170,definition,
( sQ99_spl
<=> sP3_prd ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f1173,plain,
( sQ63_spl
| sQ99_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f207,f1046,f1170,f987]) ).
fof(f1177,plain,
( ~ sQ99_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f211,f1046,f1170]) ).
fof(f1179,definition,
( sQ100_spl
<=> sP4_prd ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f1182,definition,
( sQ101_spl
<=> op(e1,op(e1,e0)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f1183,plain,
( ~ sQ101_spl
| op(e1,op(e1,e0)) = e0 ),
inference(component_clause,[status(thm)],[f1182]) ).
fof(f1184,plain,
( sQ101_spl
| op(e1,op(e1,e0)) != e0 ),
inference(component_clause,[status(thm)],[f1182]) ).
fof(f1185,plain,
( ~ sQ101_spl
| sQ100_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f216,f1149,f1179,f1182]) ).
fof(f1186,definition,
( sQ102_spl
<=> op(e1,op(e1,e1)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f1188,plain,
( sQ102_spl
| op(e1,op(e1,e1)) != e1 ),
inference(component_clause,[status(thm)],[f1186]) ).
fof(f1189,plain,
( ~ sQ102_spl
| sQ100_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f217,f1149,f1179,f1186]) ).
fof(f1190,definition,
( sQ103_spl
<=> op(e1,op(e1,e2)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f1193,plain,
( ~ sQ103_spl
| sQ100_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f218,f1149,f1179,f1190]) ).
fof(f1194,definition,
( sQ104_spl
<=> op(e1,op(e1,e3)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f1197,plain,
( ~ sQ104_spl
| sQ100_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f219,f1149,f1179,f1194]) ).
fof(f1198,plain,
( ~ sQ100_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f220,f1149,f1179]) ).
fof(f1200,definition,
( sQ105_spl
<=> sP5_prd ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f1203,plain,
( sQ63_spl
| sQ105_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f225,f1170,f1200,f987]) ).
fof(f1205,plain,
( sQ31_spl
| sQ105_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f227,f1170,f1200,f883]) ).
fof(f1207,plain,
( ~ sQ105_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f229,f1170,f1200]) ).
fof(f1209,definition,
( sQ106_spl
<=> op(e0,op(e0,e0)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f1210,plain,
( ~ sQ106_spl
| op(e0,op(e0,e0)) = e0 ),
inference(component_clause,[status(thm)],[f1209]) ).
fof(f1211,plain,
( sQ106_spl
| op(e0,op(e0,e0)) != e0 ),
inference(component_clause,[status(thm)],[f1209]) ).
fof(f1212,plain,
( ~ sQ106_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f232,f1179,f1209]) ).
fof(f1213,definition,
( sQ107_spl
<=> op(e0,op(e0,e1)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f1214,plain,
( ~ sQ107_spl
| op(e0,op(e0,e1)) = e1 ),
inference(component_clause,[status(thm)],[f1213]) ).
fof(f1215,plain,
( sQ107_spl
| op(e0,op(e0,e1)) != e1 ),
inference(component_clause,[status(thm)],[f1213]) ).
fof(f1216,plain,
( ~ sQ107_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f233,f1179,f1213]) ).
fof(f1217,definition,
( sQ108_spl
<=> op(e0,op(e0,e2)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f1218,plain,
( ~ sQ108_spl
| op(e0,op(e0,e2)) = e2 ),
inference(component_clause,[status(thm)],[f1217]) ).
fof(f1219,plain,
( sQ108_spl
| op(e0,op(e0,e2)) != e2 ),
inference(component_clause,[status(thm)],[f1217]) ).
fof(f1220,plain,
( ~ sQ108_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f234,f1179,f1217]) ).
fof(f1221,definition,
( sQ109_spl
<=> op(e0,op(e0,e3)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f1222,plain,
( ~ sQ109_spl
| op(e0,op(e0,e3)) = e3 ),
inference(component_clause,[status(thm)],[f1221]) ).
fof(f1223,plain,
( sQ109_spl
| op(e0,op(e0,e3)) != e3 ),
inference(component_clause,[status(thm)],[f1221]) ).
fof(f1224,plain,
( ~ sQ109_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f235,f1179,f1221]) ).
fof(f1226,definition,
( sQ110_spl
<=> sP6_prd ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f1229,plain,
( sQ63_spl
| sQ110_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f240,f1200,f1226,f987]) ).
fof(f1231,plain,
( sQ15_spl
| sQ110_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f242,f1200,f1226,f831]) ).
fof(f1232,plain,
( sQ51_spl
| sQ110_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f243,f1200,f1226,f948]) ).
fof(f1233,plain,
( ~ sQ110_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f244,f1200,f1226]) ).
fof(f1235,definition,
( sQ111_spl
<=> sP7_prd ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f1238,plain,
( sQ59_spl
| sQ111_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f249,f1226,f1235,f974]) ).
fof(f1239,plain,
( sQ47_spl
| sQ111_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f250,f1226,f1235,f935]) ).
fof(f1240,plain,
( sQ58_spl
| sQ111_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f251,f1226,f1235,f971]) ).
fof(f1241,plain,
( sQ46_spl
| sQ111_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f252,f1226,f1235,f932]) ).
fof(f1242,plain,
( ~ sQ111_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f253,f1226,f1235]) ).
fof(f1244,definition,
( sQ112_spl
<=> sP8_prd ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f1247,plain,
( sQ59_spl
| sQ112_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f258,f1235,f1244,f974]) ).
fof(f1248,plain,
( sQ47_spl
| sQ112_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f259,f1235,f1244,f935]) ).
fof(f1249,plain,
( sQ42_spl
| sQ112_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f260,f1235,f1244,f919]) ).
fof(f1251,plain,
( ~ sQ112_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f262,f1235,f1244]) ).
fof(f1253,definition,
( sQ113_spl
<=> sP9_prd ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f1256,plain,
( sQ59_spl
| sQ113_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f267,f1244,f1253,f974]) ).
fof(f1257,plain,
( sQ47_spl
| sQ113_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f268,f1244,f1253,f935]) ).
fof(f1258,plain,
( sQ26_spl
| sQ113_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f269,f1244,f1253,f867]) ).
fof(f1259,plain,
( sQ38_spl
| sQ113_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f270,f1244,f1253,f906]) ).
fof(f1260,plain,
( ~ sQ113_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f271,f1244,f1253]) ).
fof(f1262,definition,
( sQ114_spl
<=> sP10_prd ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f1265,plain,
( sQ59_spl
| sQ114_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f276,f1253,f1262,f974]) ).
fof(f1266,plain,
( sQ47_spl
| sQ114_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f277,f1253,f1262,f935]) ).
fof(f1267,plain,
( sQ10_spl
| sQ114_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f278,f1253,f1262,f815]) ).
fof(f1268,plain,
( sQ34_spl
| sQ114_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f279,f1253,f1262,f893]) ).
fof(f1269,plain,
( ~ sQ114_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f280,f1253,f1262]) ).
fof(f1271,definition,
( sQ115_spl
<=> sP11_prd ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f1274,plain,
( sQ55_spl
| sQ115_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f285,f1262,f1271,f961]) ).
fof(f1275,plain,
( sQ31_spl
| sQ115_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f286,f1262,f1271,f883]) ).
fof(f1276,plain,
( sQ53_spl
| sQ115_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f287,f1262,f1271,f955]) ).
fof(f1277,plain,
( sQ29_spl
| sQ115_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f288,f1262,f1271,f877]) ).
fof(f1278,plain,
( ~ sQ115_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f289,f1262,f1271]) ).
fof(f1280,definition,
( sQ116_spl
<=> sP12_prd ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f1283,plain,
( sQ55_spl
| sQ116_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f294,f1271,f1280,f961]) ).
fof(f1284,plain,
( sQ31_spl
| sQ116_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f295,f1271,f1280,f883]) ).
fof(f1285,plain,
( sQ37_spl
| sQ116_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f296,f1271,f1280,f903]) ).
fof(f1286,plain,
( sQ25_spl
| sQ116_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f297,f1271,f1280,f864]) ).
fof(f1287,plain,
( ~ sQ116_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f298,f1271,f1280]) ).
fof(f1289,definition,
( sQ117_spl
<=> sP13_prd ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f1292,plain,
( sQ55_spl
| sQ117_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f303,f1280,f1289,f961]) ).
fof(f1293,plain,
( sQ31_spl
| sQ117_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f304,f1280,f1289,f883]) ).
fof(f1294,plain,
( sQ21_spl
| sQ117_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f305,f1280,f1289,f851]) ).
fof(f1296,plain,
( ~ sQ117_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f307,f1280,f1289]) ).
fof(f1298,definition,
( sQ118_spl
<=> sP14_prd ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f1301,plain,
( sQ55_spl
| sQ118_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f312,f1289,f1298,f961]) ).
fof(f1302,plain,
( sQ31_spl
| sQ118_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f313,f1289,f1298,f883]) ).
fof(f1303,plain,
( sQ5_spl
| sQ118_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f314,f1289,f1298,f799]) ).
fof(f1304,plain,
( sQ17_spl
| sQ118_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f315,f1289,f1298,f838]) ).
fof(f1305,plain,
( ~ sQ118_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f316,f1289,f1298]) ).
fof(f1307,definition,
( sQ119_spl
<=> sP15_prd ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f1310,plain,
( sQ51_spl
| sQ119_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f321,f1298,f1307,f948]) ).
fof(f1311,plain,
( sQ15_spl
| sQ119_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f322,f1298,f1307,f831]) ).
fof(f1312,plain,
( sQ48_spl
| sQ119_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f323,f1298,f1307,f939]) ).
fof(f1313,plain,
( sQ12_spl
| sQ119_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f324,f1298,f1307,f822]) ).
fof(f1314,plain,
( ~ sQ119_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f325,f1298,f1307]) ).
fof(f1316,definition,
( sQ120_spl
<=> sP16_prd ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f1319,plain,
( sQ51_spl
| sQ120_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f330,f1307,f1316,f948]) ).
fof(f1320,plain,
( sQ15_spl
| sQ120_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f331,f1307,f1316,f831]) ).
fof(f1321,plain,
( sQ32_spl
| sQ120_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f332,f1307,f1316,f887]) ).
fof(f1322,plain,
( sQ8_spl
| sQ120_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f333,f1307,f1316,f809]) ).
fof(f1323,plain,
( ~ sQ120_spl
| sQ119_spl ),
inference(split_clause,[status(thm)],[f334,f1307,f1316]) ).
fof(f1325,definition,
( sQ121_spl
<=> sP17_prd ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f1328,plain,
( sQ51_spl
| sQ121_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f339,f1316,f1325,f948]) ).
fof(f1329,plain,
( sQ15_spl
| sQ121_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f340,f1316,f1325,f831]) ).
fof(f1330,plain,
( sQ16_spl
| sQ121_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f341,f1316,f1325,f835]) ).
fof(f1331,plain,
( sQ4_spl
| sQ121_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f342,f1316,f1325,f796]) ).
fof(f1332,plain,
( ~ sQ121_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f343,f1316,f1325]) ).
fof(f1334,definition,
( sQ122_spl
<=> sP18_prd ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f1337,plain,
( sQ51_spl
| sQ122_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f348,f1325,f1334,f948]) ).
fof(f1338,plain,
( sQ15_spl
| sQ122_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f349,f1325,f1334,f831]) ).
fof(f1339,plain,
( sQ0_spl
| sQ122_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f350,f1325,f1334,f783]) ).
fof(f1341,plain,
( ~ sQ122_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f352,f1325,f1334]) ).
fof(f1343,definition,
( sQ123_spl
<=> sP19_prd ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f1346,plain,
( sQ46_spl
| sQ123_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f357,f1334,f1343,f932]) ).
fof(f1347,plain,
( sQ58_spl
| sQ123_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f358,f1334,f1343,f971]) ).
fof(f1348,plain,
( sQ63_spl
| sQ123_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f359,f1334,f1343,f987]) ).
fof(f1350,plain,
( ~ sQ123_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f361,f1334,f1343]) ).
fof(f1351,plain,
( ~ sQ63_spl
| ~ sQ58_spl
| ~ sQ46_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f362,f1334,f932,f971,f987]) ).
fof(f1352,definition,
( sQ124_spl
<=> sP20_prd ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f1355,plain,
( sQ46_spl
| sQ124_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f366,f1343,f1352,f932]) ).
fof(f1356,plain,
( sQ58_spl
| sQ124_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f367,f1343,f1352,f971]) ).
fof(f1357,plain,
( sQ47_spl
| sQ124_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f368,f1343,f1352,f935]) ).
fof(f1358,plain,
( sQ59_spl
| sQ124_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f369,f1343,f1352,f974]) ).
fof(f1359,plain,
( ~ sQ124_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f370,f1343,f1352]) ).
fof(f1361,definition,
( sQ125_spl
<=> sP21_prd ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f1364,plain,
( sQ46_spl
| sQ125_spl
| ~ sQ124_spl ),
inference(split_clause,[status(thm)],[f375,f1352,f1361,f932]) ).
fof(f1365,plain,
( sQ58_spl
| sQ125_spl
| ~ sQ124_spl ),
inference(split_clause,[status(thm)],[f376,f1352,f1361,f971]) ).
fof(f1366,plain,
( sQ31_spl
| sQ125_spl
| ~ sQ124_spl ),
inference(split_clause,[status(thm)],[f377,f1352,f1361,f883]) ).
fof(f1367,plain,
( sQ55_spl
| sQ125_spl
| ~ sQ124_spl ),
inference(split_clause,[status(thm)],[f378,f1352,f1361,f961]) ).
fof(f1368,plain,
( ~ sQ125_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f379,f1352,f1361]) ).
fof(f1369,plain,
( ~ sQ55_spl
| ~ sQ31_spl
| ~ sQ58_spl
| ~ sQ46_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f380,f1352,f932,f971,f883,f961]) ).
fof(f1370,definition,
( sQ126_spl
<=> sP22_prd ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f1373,plain,
( sQ46_spl
| sQ126_spl
| ~ sQ125_spl ),
inference(split_clause,[status(thm)],[f384,f1361,f1370,f932]) ).
fof(f1374,plain,
( sQ58_spl
| sQ126_spl
| ~ sQ125_spl ),
inference(split_clause,[status(thm)],[f385,f1361,f1370,f971]) ).
fof(f1375,plain,
( sQ15_spl
| sQ126_spl
| ~ sQ125_spl ),
inference(split_clause,[status(thm)],[f386,f1361,f1370,f831]) ).
fof(f1376,plain,
( sQ51_spl
| sQ126_spl
| ~ sQ125_spl ),
inference(split_clause,[status(thm)],[f387,f1361,f1370,f948]) ).
fof(f1377,plain,
( ~ sQ126_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f388,f1361,f1370]) ).
fof(f1378,plain,
( ~ sQ51_spl
| ~ sQ15_spl
| ~ sQ58_spl
| ~ sQ46_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f389,f1361,f932,f971,f831,f948]) ).
fof(f1379,definition,
( sQ127_spl
<=> sP23_prd ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f1382,plain,
( sQ42_spl
| sQ127_spl
| ~ sQ126_spl ),
inference(split_clause,[status(thm)],[f393,f1370,f1379,f919]) ).
fof(f1384,plain,
( sQ58_spl
| sQ127_spl
| ~ sQ126_spl ),
inference(split_clause,[status(thm)],[f395,f1370,f1379,f971]) ).
fof(f1385,plain,
( sQ46_spl
| sQ127_spl
| ~ sQ126_spl ),
inference(split_clause,[status(thm)],[f396,f1370,f1379,f932]) ).
fof(f1386,plain,
( ~ sQ127_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f397,f1370,f1379]) ).
fof(f1388,definition,
( sQ128_spl
<=> sP24_prd ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f1391,plain,
( sQ42_spl
| sQ128_spl
| ~ sQ127_spl ),
inference(split_clause,[status(thm)],[f402,f1379,f1388,f919]) ).
fof(f1395,plain,
( ~ sQ128_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f406,f1379,f1388]) ).
fof(f1396,plain,
( ~ sQ42_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f407,f1379,f919]) ).
fof(f1397,definition,
( sQ129_spl
<=> sP25_prd ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f1400,plain,
( sQ42_spl
| sQ129_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f411,f1388,f1397,f919]) ).
fof(f1402,plain,
( sQ26_spl
| sQ129_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f413,f1388,f1397,f867]) ).
fof(f1403,plain,
( sQ38_spl
| sQ129_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f414,f1388,f1397,f906]) ).
fof(f1404,plain,
( ~ sQ129_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f415,f1388,f1397]) ).
fof(f1406,definition,
( sQ130_spl
<=> sP26_prd ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f1409,plain,
( sQ42_spl
| sQ130_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f420,f1397,f1406,f919]) ).
fof(f1411,plain,
( sQ10_spl
| sQ130_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f422,f1397,f1406,f815]) ).
fof(f1412,plain,
( sQ34_spl
| sQ130_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f423,f1397,f1406,f893]) ).
fof(f1413,plain,
( ~ sQ130_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f424,f1397,f1406]) ).
fof(f1415,definition,
( sQ131_spl
<=> sP27_prd ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f1418,plain,
( sQ38_spl
| sQ131_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f429,f1406,f1415,f906]) ).
fof(f1419,plain,
( sQ26_spl
| sQ131_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f430,f1406,f1415,f867]) ).
fof(f1420,plain,
( sQ53_spl
| sQ131_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f431,f1406,f1415,f955]) ).
fof(f1421,plain,
( sQ29_spl
| sQ131_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f432,f1406,f1415,f877]) ).
fof(f1422,plain,
( ~ sQ131_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f433,f1406,f1415]) ).
fof(f1423,plain,
( ~ sQ29_spl
| ~ sQ53_spl
| ~ sQ26_spl
| ~ sQ38_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f434,f1406,f906,f867,f955,f877]) ).
fof(f1424,definition,
( sQ132_spl
<=> sP28_prd ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f1427,plain,
( sQ38_spl
| sQ132_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f438,f1415,f1424,f906]) ).
fof(f1428,plain,
( sQ26_spl
| sQ132_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f439,f1415,f1424,f867]) ).
fof(f1429,plain,
( sQ37_spl
| sQ132_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f440,f1415,f1424,f903]) ).
fof(f1430,plain,
( sQ25_spl
| sQ132_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f441,f1415,f1424,f864]) ).
fof(f1431,plain,
( ~ sQ132_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f442,f1415,f1424]) ).
fof(f1433,definition,
( sQ133_spl
<=> sP29_prd ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f1436,plain,
( sQ38_spl
| sQ133_spl
| ~ sQ132_spl ),
inference(split_clause,[status(thm)],[f447,f1424,f1433,f906]) ).
fof(f1437,plain,
( sQ26_spl
| sQ133_spl
| ~ sQ132_spl ),
inference(split_clause,[status(thm)],[f448,f1424,f1433,f867]) ).
fof(f1438,plain,
( sQ21_spl
| sQ133_spl
| ~ sQ132_spl ),
inference(split_clause,[status(thm)],[f449,f1424,f1433,f851]) ).
fof(f1440,plain,
( ~ sQ133_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f451,f1424,f1433]) ).
fof(f1442,definition,
( sQ134_spl
<=> sP30_prd ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f1445,plain,
( sQ38_spl
| sQ134_spl
| ~ sQ133_spl ),
inference(split_clause,[status(thm)],[f456,f1433,f1442,f906]) ).
fof(f1446,plain,
( sQ26_spl
| sQ134_spl
| ~ sQ133_spl ),
inference(split_clause,[status(thm)],[f457,f1433,f1442,f867]) ).
fof(f1447,plain,
( sQ5_spl
| sQ134_spl
| ~ sQ133_spl ),
inference(split_clause,[status(thm)],[f458,f1433,f1442,f799]) ).
fof(f1448,plain,
( sQ17_spl
| sQ134_spl
| ~ sQ133_spl ),
inference(split_clause,[status(thm)],[f459,f1433,f1442,f838]) ).
fof(f1449,plain,
( ~ sQ134_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f460,f1433,f1442]) ).
fof(f1450,plain,
( ~ sQ17_spl
| ~ sQ5_spl
| ~ sQ26_spl
| ~ sQ38_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f461,f1433,f906,f867,f799,f838]) ).
fof(f1451,definition,
( sQ135_spl
<=> sP31_prd ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f1454,plain,
( sQ34_spl
| sQ135_spl
| ~ sQ134_spl ),
inference(split_clause,[status(thm)],[f465,f1442,f1451,f893]) ).
fof(f1455,plain,
( sQ10_spl
| sQ135_spl
| ~ sQ134_spl ),
inference(split_clause,[status(thm)],[f466,f1442,f1451,f815]) ).
fof(f1456,plain,
( sQ48_spl
| sQ135_spl
| ~ sQ134_spl ),
inference(split_clause,[status(thm)],[f467,f1442,f1451,f939]) ).
fof(f1457,plain,
( sQ12_spl
| sQ135_spl
| ~ sQ134_spl ),
inference(split_clause,[status(thm)],[f468,f1442,f1451,f822]) ).
fof(f1458,plain,
( ~ sQ135_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f469,f1442,f1451]) ).
fof(f1460,definition,
( sQ136_spl
<=> sP32_prd ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f1463,plain,
( sQ34_spl
| sQ136_spl
| ~ sQ135_spl ),
inference(split_clause,[status(thm)],[f474,f1451,f1460,f893]) ).
fof(f1464,plain,
( sQ10_spl
| sQ136_spl
| ~ sQ135_spl ),
inference(split_clause,[status(thm)],[f475,f1451,f1460,f815]) ).
fof(f1466,plain,
( sQ8_spl
| sQ136_spl
| ~ sQ135_spl ),
inference(split_clause,[status(thm)],[f477,f1451,f1460,f809]) ).
fof(f1467,plain,
( ~ sQ136_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f478,f1451,f1460]) ).
fof(f1469,definition,
( sQ137_spl
<=> sP33_prd ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f1472,plain,
( sQ34_spl
| sQ137_spl
| ~ sQ136_spl ),
inference(split_clause,[status(thm)],[f483,f1460,f1469,f893]) ).
fof(f1473,plain,
( sQ10_spl
| sQ137_spl
| ~ sQ136_spl ),
inference(split_clause,[status(thm)],[f484,f1460,f1469,f815]) ).
fof(f1474,plain,
( sQ16_spl
| sQ137_spl
| ~ sQ136_spl ),
inference(split_clause,[status(thm)],[f485,f1460,f1469,f835]) ).
fof(f1475,plain,
( sQ4_spl
| sQ137_spl
| ~ sQ136_spl ),
inference(split_clause,[status(thm)],[f486,f1460,f1469,f796]) ).
fof(f1476,plain,
( ~ sQ137_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f487,f1460,f1469]) ).
fof(f1478,definition,
( sQ138_spl
<=> sP34_prd ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f1481,plain,
( sQ34_spl
| sQ138_spl
| ~ sQ137_spl ),
inference(split_clause,[status(thm)],[f492,f1469,f1478,f893]) ).
fof(f1482,plain,
( sQ10_spl
| sQ138_spl
| ~ sQ137_spl ),
inference(split_clause,[status(thm)],[f493,f1469,f1478,f815]) ).
fof(f1483,plain,
( sQ0_spl
| sQ138_spl
| ~ sQ137_spl ),
inference(split_clause,[status(thm)],[f494,f1469,f1478,f783]) ).
fof(f1485,plain,
( ~ sQ138_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f496,f1469,f1478]) ).
fof(f1487,definition,
( sQ139_spl
<=> sP35_prd ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f1490,plain,
( sQ29_spl
| sQ139_spl
| ~ sQ138_spl ),
inference(split_clause,[status(thm)],[f501,f1478,f1487,f877]) ).
fof(f1491,plain,
( sQ53_spl
| sQ139_spl
| ~ sQ138_spl ),
inference(split_clause,[status(thm)],[f502,f1478,f1487,f955]) ).
fof(f1492,plain,
( sQ63_spl
| sQ139_spl
| ~ sQ138_spl ),
inference(split_clause,[status(thm)],[f503,f1478,f1487,f987]) ).
fof(f1494,plain,
( ~ sQ139_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f505,f1478,f1487]) ).
fof(f1495,plain,
( ~ sQ63_spl
| ~ sQ53_spl
| ~ sQ29_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f506,f1478,f877,f955,f987]) ).
fof(f1496,definition,
( sQ140_spl
<=> sP36_prd ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f1499,plain,
( sQ29_spl
| sQ140_spl
| ~ sQ139_spl ),
inference(split_clause,[status(thm)],[f510,f1487,f1496,f877]) ).
fof(f1500,plain,
( sQ53_spl
| sQ140_spl
| ~ sQ139_spl ),
inference(split_clause,[status(thm)],[f511,f1487,f1496,f955]) ).
fof(f1501,plain,
( sQ47_spl
| sQ140_spl
| ~ sQ139_spl ),
inference(split_clause,[status(thm)],[f512,f1487,f1496,f935]) ).
fof(f1502,plain,
( sQ59_spl
| sQ140_spl
| ~ sQ139_spl ),
inference(split_clause,[status(thm)],[f513,f1487,f1496,f974]) ).
fof(f1503,plain,
( ~ sQ140_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f514,f1487,f1496]) ).
fof(f1504,plain,
( ~ sQ59_spl
| ~ sQ47_spl
| ~ sQ53_spl
| ~ sQ29_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f515,f1487,f877,f955,f935,f974]) ).
fof(f1505,definition,
( sQ141_spl
<=> sP37_prd ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f1508,plain,
( sQ29_spl
| sQ141_spl
| ~ sQ140_spl ),
inference(split_clause,[status(thm)],[f519,f1496,f1505,f877]) ).
fof(f1509,plain,
( sQ53_spl
| sQ141_spl
| ~ sQ140_spl ),
inference(split_clause,[status(thm)],[f520,f1496,f1505,f955]) ).
fof(f1510,plain,
( sQ31_spl
| sQ141_spl
| ~ sQ140_spl ),
inference(split_clause,[status(thm)],[f521,f1496,f1505,f883]) ).
fof(f1511,plain,
( sQ55_spl
| sQ141_spl
| ~ sQ140_spl ),
inference(split_clause,[status(thm)],[f522,f1496,f1505,f961]) ).
fof(f1512,plain,
( ~ sQ141_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f523,f1496,f1505]) ).
fof(f1514,definition,
( sQ142_spl
<=> sP38_prd ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f1517,plain,
( sQ29_spl
| sQ142_spl
| ~ sQ141_spl ),
inference(split_clause,[status(thm)],[f528,f1505,f1514,f877]) ).
fof(f1518,plain,
( sQ53_spl
| sQ142_spl
| ~ sQ141_spl ),
inference(split_clause,[status(thm)],[f529,f1505,f1514,f955]) ).
fof(f1519,plain,
( sQ15_spl
| sQ142_spl
| ~ sQ141_spl ),
inference(split_clause,[status(thm)],[f530,f1505,f1514,f831]) ).
fof(f1520,plain,
( sQ51_spl
| sQ142_spl
| ~ sQ141_spl ),
inference(split_clause,[status(thm)],[f531,f1505,f1514,f948]) ).
fof(f1521,plain,
( ~ sQ142_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f532,f1505,f1514]) ).
fof(f1523,definition,
( sQ143_spl
<=> sP39_prd ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f1526,plain,
( sQ25_spl
| sQ143_spl
| ~ sQ142_spl ),
inference(split_clause,[status(thm)],[f537,f1514,f1523,f864]) ).
fof(f1527,plain,
( sQ37_spl
| sQ143_spl
| ~ sQ142_spl ),
inference(split_clause,[status(thm)],[f538,f1514,f1523,f903]) ).
fof(f1528,plain,
( sQ58_spl
| sQ143_spl
| ~ sQ142_spl ),
inference(split_clause,[status(thm)],[f539,f1514,f1523,f971]) ).
fof(f1529,plain,
( sQ46_spl
| sQ143_spl
| ~ sQ142_spl ),
inference(split_clause,[status(thm)],[f540,f1514,f1523,f932]) ).
fof(f1530,plain,
( ~ sQ143_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f541,f1514,f1523]) ).
fof(f1532,definition,
( sQ144_spl
<=> sP40_prd ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f1535,plain,
( sQ25_spl
| sQ144_spl
| ~ sQ143_spl ),
inference(split_clause,[status(thm)],[f546,f1523,f1532,f864]) ).
fof(f1536,plain,
( sQ37_spl
| sQ144_spl
| ~ sQ143_spl ),
inference(split_clause,[status(thm)],[f547,f1523,f1532,f903]) ).
fof(f1537,plain,
( sQ42_spl
| sQ144_spl
| ~ sQ143_spl ),
inference(split_clause,[status(thm)],[f548,f1523,f1532,f919]) ).
fof(f1539,plain,
( ~ sQ144_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f550,f1523,f1532]) ).
fof(f1541,definition,
( sQ145_spl
<=> sP41_prd ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f1544,plain,
( sQ25_spl
| sQ145_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f555,f1532,f1541,f864]) ).
fof(f1545,plain,
( sQ37_spl
| sQ145_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f556,f1532,f1541,f903]) ).
fof(f1546,plain,
( sQ26_spl
| sQ145_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f557,f1532,f1541,f867]) ).
fof(f1548,plain,
( ~ sQ145_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f559,f1532,f1541]) ).
fof(f1550,definition,
( sQ146_spl
<=> sP42_prd ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f1553,plain,
( sQ25_spl
| sQ146_spl
| ~ sQ145_spl ),
inference(split_clause,[status(thm)],[f564,f1541,f1550,f864]) ).
fof(f1554,plain,
( sQ37_spl
| sQ146_spl
| ~ sQ145_spl ),
inference(split_clause,[status(thm)],[f565,f1541,f1550,f903]) ).
fof(f1555,plain,
( sQ10_spl
| sQ146_spl
| ~ sQ145_spl ),
inference(split_clause,[status(thm)],[f566,f1541,f1550,f815]) ).
fof(f1556,plain,
( sQ34_spl
| sQ146_spl
| ~ sQ145_spl ),
inference(split_clause,[status(thm)],[f567,f1541,f1550,f893]) ).
fof(f1557,plain,
( ~ sQ146_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f568,f1541,f1550]) ).
fof(f1559,definition,
( sQ147_spl
<=> sP43_prd ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f1562,plain,
( sQ21_spl
| sQ147_spl
| ~ sQ146_spl ),
inference(split_clause,[status(thm)],[f573,f1550,f1559,f851]) ).
fof(f1566,plain,
( ~ sQ147_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f577,f1550,f1559]) ).
fof(f1568,definition,
( sQ148_spl
<=> sP44_prd ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f1571,plain,
( sQ21_spl
| sQ148_spl
| ~ sQ147_spl ),
inference(split_clause,[status(thm)],[f582,f1559,f1568,f851]) ).
fof(f1575,plain,
( ~ sQ148_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f586,f1559,f1568]) ).
fof(f1577,definition,
( sQ149_spl
<=> sP45_prd ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f1580,plain,
( sQ21_spl
| sQ149_spl
| ~ sQ148_spl ),
inference(split_clause,[status(thm)],[f591,f1568,f1577,f851]) ).
fof(f1584,plain,
( ~ sQ149_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f595,f1568,f1577]) ).
fof(f1585,plain,
( ~ sQ21_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f596,f1568,f851]) ).
fof(f1586,definition,
( sQ150_spl
<=> sP46_prd ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f1589,plain,
( sQ21_spl
| sQ150_spl
| ~ sQ149_spl ),
inference(split_clause,[status(thm)],[f600,f1577,f1586,f851]) ).
fof(f1591,plain,
( sQ5_spl
| sQ150_spl
| ~ sQ149_spl ),
inference(split_clause,[status(thm)],[f602,f1577,f1586,f799]) ).
fof(f1592,plain,
( sQ17_spl
| sQ150_spl
| ~ sQ149_spl ),
inference(split_clause,[status(thm)],[f603,f1577,f1586,f838]) ).
fof(f1593,plain,
( ~ sQ150_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f604,f1577,f1586]) ).
fof(f1595,definition,
( sQ151_spl
<=> sP47_prd ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f1598,plain,
( sQ17_spl
| sQ151_spl
| ~ sQ150_spl ),
inference(split_clause,[status(thm)],[f609,f1586,f1595,f838]) ).
fof(f1599,plain,
( sQ5_spl
| sQ151_spl
| ~ sQ150_spl ),
inference(split_clause,[status(thm)],[f610,f1586,f1595,f799]) ).
fof(f1600,plain,
( sQ48_spl
| sQ151_spl
| ~ sQ150_spl ),
inference(split_clause,[status(thm)],[f611,f1586,f1595,f939]) ).
fof(f1601,plain,
( sQ12_spl
| sQ151_spl
| ~ sQ150_spl ),
inference(split_clause,[status(thm)],[f612,f1586,f1595,f822]) ).
fof(f1602,plain,
( ~ sQ151_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f613,f1586,f1595]) ).
fof(f1604,definition,
( sQ152_spl
<=> sP48_prd ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f1607,plain,
( sQ17_spl
| sQ152_spl
| ~ sQ151_spl ),
inference(split_clause,[status(thm)],[f618,f1595,f1604,f838]) ).
fof(f1608,plain,
( sQ5_spl
| sQ152_spl
| ~ sQ151_spl ),
inference(split_clause,[status(thm)],[f619,f1595,f1604,f799]) ).
fof(f1609,plain,
( sQ32_spl
| sQ152_spl
| ~ sQ151_spl ),
inference(split_clause,[status(thm)],[f620,f1595,f1604,f887]) ).
fof(f1610,plain,
( sQ8_spl
| sQ152_spl
| ~ sQ151_spl ),
inference(split_clause,[status(thm)],[f621,f1595,f1604,f809]) ).
fof(f1611,plain,
( ~ sQ152_spl
| sQ151_spl ),
inference(split_clause,[status(thm)],[f622,f1595,f1604]) ).
fof(f1612,plain,
( ~ sQ8_spl
| ~ sQ32_spl
| ~ sQ5_spl
| ~ sQ17_spl
| sQ151_spl ),
inference(split_clause,[status(thm)],[f623,f1595,f838,f799,f887,f809]) ).
fof(f1613,definition,
( sQ153_spl
<=> sP49_prd ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f1616,plain,
( sQ17_spl
| sQ153_spl
| ~ sQ152_spl ),
inference(split_clause,[status(thm)],[f627,f1604,f1613,f838]) ).
fof(f1617,plain,
( sQ5_spl
| sQ153_spl
| ~ sQ152_spl ),
inference(split_clause,[status(thm)],[f628,f1604,f1613,f799]) ).
fof(f1618,plain,
( sQ16_spl
| sQ153_spl
| ~ sQ152_spl ),
inference(split_clause,[status(thm)],[f629,f1604,f1613,f835]) ).
fof(f1619,plain,
( sQ4_spl
| sQ153_spl
| ~ sQ152_spl ),
inference(split_clause,[status(thm)],[f630,f1604,f1613,f796]) ).
fof(f1620,plain,
( ~ sQ153_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f631,f1604,f1613]) ).
fof(f1622,definition,
( sQ154_spl
<=> sP50_prd ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f1625,plain,
( sQ17_spl
| sQ154_spl
| ~ sQ153_spl ),
inference(split_clause,[status(thm)],[f636,f1613,f1622,f838]) ).
fof(f1626,plain,
( sQ5_spl
| sQ154_spl
| ~ sQ153_spl ),
inference(split_clause,[status(thm)],[f637,f1613,f1622,f799]) ).
fof(f1627,plain,
( sQ0_spl
| sQ154_spl
| ~ sQ153_spl ),
inference(split_clause,[status(thm)],[f638,f1613,f1622,f783]) ).
fof(f1629,plain,
( ~ sQ154_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f640,f1613,f1622]) ).
fof(f1631,definition,
( sQ155_spl
<=> sP51_prd ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f1634,plain,
( sQ12_spl
| sQ155_spl
| ~ sQ154_spl ),
inference(split_clause,[status(thm)],[f645,f1622,f1631,f822]) ).
fof(f1635,plain,
( sQ48_spl
| sQ155_spl
| ~ sQ154_spl ),
inference(split_clause,[status(thm)],[f646,f1622,f1631,f939]) ).
fof(f1636,plain,
( sQ63_spl
| sQ155_spl
| ~ sQ154_spl ),
inference(split_clause,[status(thm)],[f647,f1622,f1631,f987]) ).
fof(f1638,plain,
( ~ sQ155_spl
| sQ154_spl ),
inference(split_clause,[status(thm)],[f649,f1622,f1631]) ).
fof(f1639,plain,
( ~ sQ63_spl
| ~ sQ48_spl
| ~ sQ12_spl
| sQ154_spl ),
inference(split_clause,[status(thm)],[f650,f1622,f822,f939,f987]) ).
fof(f1640,definition,
( sQ156_spl
<=> sP52_prd ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f1643,plain,
( sQ12_spl
| sQ156_spl
| ~ sQ155_spl ),
inference(split_clause,[status(thm)],[f654,f1631,f1640,f822]) ).
fof(f1644,plain,
( sQ48_spl
| sQ156_spl
| ~ sQ155_spl ),
inference(split_clause,[status(thm)],[f655,f1631,f1640,f939]) ).
fof(f1645,plain,
( sQ47_spl
| sQ156_spl
| ~ sQ155_spl ),
inference(split_clause,[status(thm)],[f656,f1631,f1640,f935]) ).
fof(f1646,plain,
( sQ59_spl
| sQ156_spl
| ~ sQ155_spl ),
inference(split_clause,[status(thm)],[f657,f1631,f1640,f974]) ).
fof(f1647,plain,
( ~ sQ156_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f658,f1631,f1640]) ).
fof(f1648,plain,
( ~ sQ59_spl
| ~ sQ47_spl
| ~ sQ48_spl
| ~ sQ12_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f659,f1631,f822,f939,f935,f974]) ).
fof(f1649,definition,
( sQ157_spl
<=> sP53_prd ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f1652,plain,
( sQ12_spl
| sQ157_spl
| ~ sQ156_spl ),
inference(split_clause,[status(thm)],[f663,f1640,f1649,f822]) ).
fof(f1653,plain,
( sQ48_spl
| sQ157_spl
| ~ sQ156_spl ),
inference(split_clause,[status(thm)],[f664,f1640,f1649,f939]) ).
fof(f1654,plain,
( sQ31_spl
| sQ157_spl
| ~ sQ156_spl ),
inference(split_clause,[status(thm)],[f665,f1640,f1649,f883]) ).
fof(f1655,plain,
( sQ55_spl
| sQ157_spl
| ~ sQ156_spl ),
inference(split_clause,[status(thm)],[f666,f1640,f1649,f961]) ).
fof(f1656,plain,
( ~ sQ157_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f667,f1640,f1649]) ).
fof(f1657,plain,
( ~ sQ55_spl
| ~ sQ31_spl
| ~ sQ48_spl
| ~ sQ12_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f668,f1640,f822,f939,f883,f961]) ).
fof(f1658,definition,
( sQ158_spl
<=> sP54_prd ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f1661,plain,
( sQ12_spl
| sQ158_spl
| ~ sQ157_spl ),
inference(split_clause,[status(thm)],[f672,f1649,f1658,f822]) ).
fof(f1662,plain,
( sQ48_spl
| sQ158_spl
| ~ sQ157_spl ),
inference(split_clause,[status(thm)],[f673,f1649,f1658,f939]) ).
fof(f1664,plain,
( sQ51_spl
| sQ158_spl
| ~ sQ157_spl ),
inference(split_clause,[status(thm)],[f675,f1649,f1658,f948]) ).
fof(f1665,plain,
( ~ sQ158_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f676,f1649,f1658]) ).
fof(f1667,definition,
( sQ159_spl
<=> sP55_prd ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f1670,plain,
( sQ8_spl
| sQ159_spl
| ~ sQ158_spl ),
inference(split_clause,[status(thm)],[f681,f1658,f1667,f809]) ).
fof(f1671,plain,
( sQ32_spl
| sQ159_spl
| ~ sQ158_spl ),
inference(split_clause,[status(thm)],[f682,f1658,f1667,f887]) ).
fof(f1672,plain,
( sQ58_spl
| sQ159_spl
| ~ sQ158_spl ),
inference(split_clause,[status(thm)],[f683,f1658,f1667,f971]) ).
fof(f1673,plain,
( sQ46_spl
| sQ159_spl
| ~ sQ158_spl ),
inference(split_clause,[status(thm)],[f684,f1658,f1667,f932]) ).
fof(f1674,plain,
( ~ sQ159_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f685,f1658,f1667]) ).
fof(f1676,definition,
( sQ160_spl
<=> sP56_prd ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f1679,plain,
( sQ8_spl
| sQ160_spl
| ~ sQ159_spl ),
inference(split_clause,[status(thm)],[f690,f1667,f1676,f809]) ).
fof(f1680,plain,
( sQ32_spl
| sQ160_spl
| ~ sQ159_spl ),
inference(split_clause,[status(thm)],[f691,f1667,f1676,f887]) ).
fof(f1681,plain,
( sQ42_spl
| sQ160_spl
| ~ sQ159_spl ),
inference(split_clause,[status(thm)],[f692,f1667,f1676,f919]) ).
fof(f1683,plain,
( ~ sQ160_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f694,f1667,f1676]) ).
fof(f1685,definition,
( sQ161_spl
<=> sP57_prd ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f1688,plain,
( sQ8_spl
| sQ161_spl
| ~ sQ160_spl ),
inference(split_clause,[status(thm)],[f699,f1676,f1685,f809]) ).
fof(f1689,plain,
( sQ32_spl
| sQ161_spl
| ~ sQ160_spl ),
inference(split_clause,[status(thm)],[f700,f1676,f1685,f887]) ).
fof(f1690,plain,
( sQ26_spl
| sQ161_spl
| ~ sQ160_spl ),
inference(split_clause,[status(thm)],[f701,f1676,f1685,f867]) ).
fof(f1691,plain,
( sQ38_spl
| sQ161_spl
| ~ sQ160_spl ),
inference(split_clause,[status(thm)],[f702,f1676,f1685,f906]) ).
fof(f1692,plain,
( ~ sQ161_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f703,f1676,f1685]) ).
fof(f1693,plain,
( ~ sQ38_spl
| ~ sQ26_spl
| ~ sQ32_spl
| ~ sQ8_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f704,f1676,f809,f887,f867,f906]) ).
fof(f1694,definition,
( sQ162_spl
<=> sP58_prd ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f1697,plain,
( sQ8_spl
| sQ162_spl
| ~ sQ161_spl ),
inference(split_clause,[status(thm)],[f708,f1685,f1694,f809]) ).
fof(f1698,plain,
( sQ32_spl
| sQ162_spl
| ~ sQ161_spl ),
inference(split_clause,[status(thm)],[f709,f1685,f1694,f887]) ).
fof(f1699,plain,
( sQ10_spl
| sQ162_spl
| ~ sQ161_spl ),
inference(split_clause,[status(thm)],[f710,f1685,f1694,f815]) ).
fof(f1700,plain,
( sQ34_spl
| sQ162_spl
| ~ sQ161_spl ),
inference(split_clause,[status(thm)],[f711,f1685,f1694,f893]) ).
fof(f1701,plain,
( ~ sQ162_spl
| sQ161_spl ),
inference(split_clause,[status(thm)],[f712,f1685,f1694]) ).
fof(f1703,definition,
( sQ163_spl
<=> sP59_prd ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f1706,plain,
( sQ4_spl
| sQ163_spl
| ~ sQ162_spl ),
inference(split_clause,[status(thm)],[f717,f1694,f1703,f796]) ).
fof(f1707,plain,
( sQ16_spl
| sQ163_spl
| ~ sQ162_spl ),
inference(split_clause,[status(thm)],[f718,f1694,f1703,f835]) ).
fof(f1708,plain,
( sQ53_spl
| sQ163_spl
| ~ sQ162_spl ),
inference(split_clause,[status(thm)],[f719,f1694,f1703,f955]) ).
fof(f1709,plain,
( sQ29_spl
| sQ163_spl
| ~ sQ162_spl ),
inference(split_clause,[status(thm)],[f720,f1694,f1703,f877]) ).
fof(f1710,plain,
( ~ sQ163_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f721,f1694,f1703]) ).
fof(f1712,definition,
( sQ164_spl
<=> sP60_prd ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f1715,plain,
( sQ4_spl
| sQ164_spl
| ~ sQ163_spl ),
inference(split_clause,[status(thm)],[f726,f1703,f1712,f796]) ).
fof(f1716,plain,
( sQ16_spl
| sQ164_spl
| ~ sQ163_spl ),
inference(split_clause,[status(thm)],[f727,f1703,f1712,f835]) ).
fof(f1717,plain,
( sQ37_spl
| sQ164_spl
| ~ sQ163_spl ),
inference(split_clause,[status(thm)],[f728,f1703,f1712,f903]) ).
fof(f1718,plain,
( sQ25_spl
| sQ164_spl
| ~ sQ163_spl ),
inference(split_clause,[status(thm)],[f729,f1703,f1712,f864]) ).
fof(f1719,plain,
( ~ sQ164_spl
| sQ163_spl ),
inference(split_clause,[status(thm)],[f730,f1703,f1712]) ).
fof(f1721,definition,
( sQ165_spl
<=> sP61_prd ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f1724,plain,
( sQ4_spl
| sQ165_spl
| ~ sQ164_spl ),
inference(split_clause,[status(thm)],[f735,f1712,f1721,f796]) ).
fof(f1725,plain,
( sQ16_spl
| sQ165_spl
| ~ sQ164_spl ),
inference(split_clause,[status(thm)],[f736,f1712,f1721,f835]) ).
fof(f1726,plain,
( sQ21_spl
| sQ165_spl
| ~ sQ164_spl ),
inference(split_clause,[status(thm)],[f737,f1712,f1721,f851]) ).
fof(f1728,plain,
( ~ sQ165_spl
| sQ164_spl ),
inference(split_clause,[status(thm)],[f739,f1712,f1721]) ).
fof(f1730,definition,
( sQ166_spl
<=> sP62_prd ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f1733,plain,
( sQ4_spl
| sQ166_spl
| ~ sQ165_spl ),
inference(split_clause,[status(thm)],[f744,f1721,f1730,f796]) ).
fof(f1735,plain,
( sQ5_spl
| sQ166_spl
| ~ sQ165_spl ),
inference(split_clause,[status(thm)],[f746,f1721,f1730,f799]) ).
fof(f1737,plain,
( ~ sQ166_spl
| sQ165_spl ),
inference(split_clause,[status(thm)],[f748,f1721,f1730]) ).
fof(f1739,definition,
( sQ167_spl
<=> sP63_prd ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f1742,plain,
( sQ0_spl
| sQ167_spl
| ~ sQ166_spl ),
inference(split_clause,[status(thm)],[f753,f1730,f1739,f783]) ).
fof(f1746,plain,
( ~ sQ167_spl
| sQ166_spl ),
inference(split_clause,[status(thm)],[f757,f1730,f1739]) ).
fof(f1748,definition,
( sQ168_spl
<=> sP64_prd ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f1751,plain,
( sQ0_spl
| sQ168_spl
| ~ sQ167_spl ),
inference(split_clause,[status(thm)],[f762,f1739,f1748,f783]) ).
fof(f1755,plain,
( ~ sQ168_spl
| sQ167_spl ),
inference(split_clause,[status(thm)],[f766,f1739,f1748]) ).
fof(f1757,definition,
( sQ169_spl
<=> sP65_prd ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f1760,plain,
( sQ0_spl
| sQ169_spl
| ~ sQ168_spl ),
inference(split_clause,[status(thm)],[f771,f1748,f1757,f783]) ).
fof(f1764,plain,
( ~ sQ169_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f775,f1748,f1757]) ).
fof(f1766,plain,
( sQ0_spl
| ~ sQ169_spl ),
inference(split_clause,[status(thm)],[f778,f1757,f783]) ).
fof(f1770,plain,
( ~ sQ0_spl
| sQ169_spl ),
inference(split_clause,[status(thm)],[f782,f1757,f783]) ).
fof(f1772,plain,
( ~ sQ30_spl
| op(e1,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f881,f112]) ).
fof(f1773,plain,
( ~ sQ30_spl
| op(e1,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f881,f110]) ).
fof(f1774,plain,
( ~ sQ30_spl
| e2 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f881,f100]) ).
fof(f1776,plain,
( ~ sQ30_spl
| op(e0,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f881,f96]) ).
fof(f1779,plain,
( ~ sQ14_spl
| op(e0,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f829,f104]) ).
fof(f1782,plain,
( ~ sQ54_spl
| e2 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f959,f124]) ).
fof(f1783,plain,
( ~ sQ54_spl
| e2 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f959,f123]) ).
fof(f1784,plain,
( ~ sQ54_spl
| op(e3,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f959,f120]) ).
fof(f1785,plain,
( ~ sQ54_spl
| op(e2,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f959,f89]) ).
fof(f1789,plain,
( ~ sQ50_spl
| e2 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f946,f121]) ).
fof(f1794,plain,
( ~ sQ45_spl
| op(e2,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f930,f118]) ).
fof(f1795,plain,
( ~ sQ45_spl
| op(e2,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f930,f116]) ).
fof(f1797,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f829,f826]) ).
fof(f1798,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1797,f129]) ).
fof(f1799,plain,
( ~ sQ13_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f1798]) ).
fof(f1802,plain,
( ~ sQ57_spl
| op(e1,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f969,f94]) ).
fof(f1803,plain,
( ~ sQ57_spl
| op(e0,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f969,f92]) ).
fof(f1804,plain,
( ~ sQ49_spl
| ~ sQ50_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f946,f943]) ).
fof(f1805,plain,
( ~ sQ49_spl
| ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1804,f129]) ).
fof(f1806,plain,
( ~ sQ49_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f1805]) ).
fof(f1810,plain,
( ~ sQ28_spl
| ~ sQ30_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f881,f875]) ).
fof(f1811,plain,
( ~ sQ28_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1810,f127]) ).
fof(f1812,plain,
( ~ sQ28_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f1811]) ).
fof(f1813,plain,
( ~ sQ56_spl
| ~ sQ57_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f969,f966]) ).
fof(f1814,plain,
( ~ sQ56_spl
| ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1813,f126]) ).
fof(f1815,plain,
( ~ sQ56_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f1814]) ).
fof(f1816,plain,
( ~ sQ52_spl
| ~ sQ54_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f959,f953]) ).
fof(f1817,plain,
( ~ sQ52_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1816,f127]) ).
fof(f1818,plain,
( ~ sQ52_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f1817]) ).
fof(f1819,plain,
( ~ sQ27_spl
| op(e1,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f871,f111]) ).
fof(f1820,plain,
( ~ sQ27_spl
| op(e1,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f871,f109]) ).
fof(f1821,plain,
( ~ sQ27_spl
| e3 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f871,f93]) ).
fof(f1823,plain,
( ~ sQ11_spl
| op(e0,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f819,f105]) ).
fof(f1824,plain,
( ~ sQ11_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f819,f103]) ).
fof(f1829,plain,
( ~ sQ39_spl
| op(e0,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f910,f85]) ).
fof(f1831,plain,
( ~ sQ35_spl
| op(e1,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f897,f81]) ).
fof(f1833,plain,
( ~ sQ9_spl
| ~ sQ11_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f819,f813]) ).
fof(f1834,plain,
( ~ sQ9_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1833,f130]) ).
fof(f1835,plain,
( ~ sQ9_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f1834]) ).
fof(f1836,plain,
( ~ sQ33_spl
| ~ sQ35_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f897,f891]) ).
fof(f1837,plain,
( ~ sQ33_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1836,f130]) ).
fof(f1838,plain,
( ~ sQ33_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f1837]) ).
fof(f1839,plain,
( ~ sQ24_spl
| ~ sQ27_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f871,f862]) ).
fof(f1840,plain,
( ~ sQ24_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1839,f128]) ).
fof(f1841,plain,
( ~ sQ24_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f1840]) ).
fof(f1842,plain,
( ~ sQ36_spl
| ~ sQ39_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f910,f901]) ).
fof(f1843,plain,
( ~ sQ36_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1842,f128]) ).
fof(f1844,plain,
( ~ sQ36_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f1843]) ).
fof(f1849,plain,
( ~ sQ6_spl
| ~ sQ7_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f806,f803]) ).
fof(f1850,plain,
( ~ sQ6_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1849,f131]) ).
fof(f1851,plain,
( ~ sQ6_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f1850]) ).
fof(f1852,plain,
( ~ sQ18_spl
| ~ sQ19_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f845,f842]) ).
fof(f1853,plain,
( ~ sQ18_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1852,f131]) ).
fof(f1854,plain,
( ~ sQ18_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f1853]) ).
fof(f1855,plain,
( sQ67_spl
| ~ sQ59_spl
| op(e3,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f975,f1040]) ).
fof(f1856,plain,
( sQ66_spl
| ~ sQ55_spl
| op(e3,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f962,f1036]) ).
fof(f1858,plain,
( ~ sQ38_spl
| e2 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f907,f118]) ).
fof(f1859,plain,
( ~ sQ15_spl
| e3 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f832,f96]) ).
fof(f1860,plain,
( sQ109_spl
| ~ sQ15_spl
| op(e0,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f832,f1223]) ).
fof(f1864,plain,
( ~ sQ15_spl
| op(e0,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f832,f106]) ).
fof(f1867,plain,
( ~ sQ58_spl
| ~ sQ59_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f975,f972]) ).
fof(f1868,plain,
( ~ sQ58_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1867,f131]) ).
fof(f1869,plain,
( ~ sQ58_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f1868]) ).
fof(f1870,plain,
( ~ sQ52_spl
| ~ sQ55_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f962,f953]) ).
fof(f1871,plain,
( ~ sQ52_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1870,f128]) ).
fof(f1872,plain,
( ~ sQ52_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f1871]) ).
fof(f1876,plain,
( ~ sQ49_spl
| op(e1,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f943,f82]) ).
fof(f1877,plain,
( ~ sQ49_spl
| op(e2,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f943,f83]) ).
fof(f1879,plain,
( sQ65_spl
| ~ sQ49_spl
| op(e3,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f943,f1032]) ).
fof(f1880,plain,
( ~ sQ43_spl
| e3 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f923,f95]) ).
fof(f1881,plain,
( ~ sQ43_spl
| e3 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f923,f119]) ).
fof(f1885,plain,
( sQ77_spl
| ~ sQ43_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f923,f1079]) ).
fof(f1890,plain,
( ~ sQ23_spl
| e3 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f858,f112]) ).
fof(f1893,plain,
( sQ92_spl
| ~ sQ23_spl
| e0 != op(op(op(e1,e1),e1),e3) ),
inference(backward_demodulation,[status(thm)],[f858,f1135]) ).
fof(f1894,plain,
( sQ73_spl
| ~ sQ23_spl
| e2 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f858,f1065]) ).
fof(f1898,plain,
( sQ106_spl
| ~ sQ3_spl
| op(e0,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f793,f1211]) ).
fof(f1902,plain,
( sQ85_spl
| ~ sQ3_spl
| e2 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f793,f1107]) ).
fof(f1906,plain,
( ~ sQ43_spl
| op(e0,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f923,f91]) ).
fof(f1908,plain,
( ~ sQ3_spl
| e3 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f793,f79]) ).
fof(f1909,plain,
( ~ sQ31_spl
| e3 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f884,f99]) ).
fof(f1910,plain,
( ~ sQ31_spl
| e3 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f884,f100]) ).
fof(f1913,plain,
( ~ sQ16_spl
| e0 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f836,f81]) ).
fof(f1917,plain,
( ~ sQ16_spl
| e0 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f836,f109]) ).
fof(f1918,plain,
( ~ sQ16_spl
| ~ sQ24_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f862,f1917]) ).
fof(f1919,plain,
( ~ sQ16_spl
| ~ sQ24_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1918]) ).
fof(f1920,plain,
( ~ sQ16_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f1919]) ).
fof(f1921,plain,
( ~ sQ47_spl
| e3 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f936,f101]) ).
fof(f1922,plain,
( ~ sQ47_spl
| op(e2,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f936,f116]) ).
fof(f1927,plain,
( ~ sQ6_spl
| e2 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f803,f105]) ).
fof(f1930,plain,
( ~ sQ4_spl
| ~ sQ6_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f803,f797]) ).
fof(f1931,plain,
( ~ sQ4_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1930,f127]) ).
fof(f1932,plain,
( ~ sQ4_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f1931]) ).
fof(f1937,plain,
( ~ sQ37_spl
| op(e1,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f904,f87]) ).
fof(f1940,plain,
( ~ sQ37_spl
| e1 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f904,f89]) ).
fof(f1942,plain,
( ~ sQ15_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f1859,f883,f831]) ).
fof(f1943,plain,
( sQ109_spl
| ~ sQ15_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f832,f1860]) ).
fof(f1944,plain,
( sQ109_spl
| ~ sQ15_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1943]) ).
fof(f1945,plain,
( sQ109_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f1944]) ).
fof(f1946,plain,
( ~ sQ63_spl
| op(e3,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f988,f124]) ).
fof(f1947,plain,
( ~ sQ63_spl
| op(e3,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f988,f125]) ).
fof(f1948,plain,
( sQ68_spl
| ~ sQ63_spl
| op(e3,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f988,f1044]) ).
fof(f1955,plain,
( ~ sQ8_spl
| e0 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f810,f92]) ).
fof(f1958,plain,
( ~ sQ17_spl
| op(e0,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f839,f78]) ).
fof(f1962,plain,
( sQ67_spl
| ~ sQ58_spl
| op(e3,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f972,f1040]) ).
fof(f1964,plain,
( ~ sQ48_spl
| e0 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f940,f121]) ).
fof(f1967,plain,
( ~ sQ11_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f1823,f805,f818]) ).
fof(f1970,plain,
( sQ66_spl
| ~ sQ53_spl
| op(e3,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f956,f1036]) ).
fof(f1971,plain,
( sQ66_spl
| ~ sQ53_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f956,f1970]) ).
fof(f1972,plain,
( sQ66_spl
| ~ sQ53_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1971]) ).
fof(f1973,plain,
( sQ66_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f1972]) ).
fof(f1974,plain,
( ~ sQ31_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f1910,f987,f883]) ).
fof(f1977,plain,
( ~ sQ48_spl
| ~ sQ51_spl
| e3 = e0 ),
inference(backward_demodulation,[status(thm)],[f949,f940]) ).
fof(f1978,plain,
( ~ sQ17_spl
| e1 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f839,f81]) ).
fof(f1984,plain,
( ~ sQ51_spl
| op(e0,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f949,f80]) ).
fof(f1987,plain,
( ~ sQ51_spl
| op(e2,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f949,f83]) ).
fof(f1988,plain,
( ~ sQ51_spl
| e3 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f949,f122]) ).
fof(f1989,plain,
( ~ sQ51_spl
| ~ sQ63_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f988,f1988]) ).
fof(f1990,plain,
( ~ sQ51_spl
| ~ sQ63_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1989]) ).
fof(f1991,plain,
( ~ sQ51_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f1990]) ).
fof(f1996,plain,
( sQ73_spl
| ~ sQ20_spl
| e2 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f849,f1065]) ).
fof(f1999,plain,
( sQ71_spl
| ~ sQ20_spl
| e3 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f849,f1058]) ).
fof(f2000,plain,
( ~ sQ20_spl
| e0 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f849,f112]) ).
fof(f2010,plain,
( ~ sQ54_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f1785,f906,f958]) ).
fof(f2015,plain,
( ~ sQ33_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f891,f1978]) ).
fof(f2016,plain,
( ~ sQ33_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f2015]) ).
fof(f2017,plain,
( ~ sQ13_spl
| e1 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f826,f96]) ).
fof(f2018,plain,
( ~ sQ13_spl
| e1 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f826,f97]) ).
fof(f2026,plain,
( ~ sQ2_spl
| e2 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f790,f102]) ).
fof(f2027,plain,
( ~ sQ2_spl
| e2 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f790,f103]) ).
fof(f2028,plain,
( ~ sQ2_spl
| e2 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f790,f79]) ).
fof(f2035,plain,
( ~ sQ43_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f1880,f974,f922]) ).
fof(f2036,plain,
( ~ sQ43_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f1881,f935,f922]) ).
fof(f2038,plain,
( sQ77_spl
| ~ sQ43_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f1885,f968,f922,f1077]) ).
fof(f2052,plain,
( ~ sQ43_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1906,f818,f922]) ).
fof(f2054,plain,
( ~ sQ38_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f1858,f932,f906]) ).
fof(f2055,plain,
( ~ sQ44_spl
| ~ sQ46_spl
| e2 = e0 ),
inference(backward_demodulation,[status(thm)],[f933,f927]) ).
fof(f2056,plain,
( ~ sQ29_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f878,f2017]) ).
fof(f2057,plain,
( ~ sQ29_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f2056]) ).
fof(f2066,plain,
( ~ sQ59_spl
| op(e3,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f975,f123]) ).
fof(f2076,plain,
( ~ sQ3_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f1908,f896,f792]) ).
fof(f2078,plain,
( ~ sQ47_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f1921,f987,f935]) ).
fof(f2079,plain,
( ~ sQ47_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f1922,f896,f935]) ).
fof(f2081,plain,
( ~ sQ10_spl
| e2 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f816,f90]) ).
fof(f2082,plain,
( ~ sQ36_spl
| op(e2,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f901,f114]) ).
fof(f2089,plain,
( ~ sQ16_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f1913,f887,f835]) ).
fof(f2090,plain,
( ~ sQ16_spl
| ~ sQ18_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f842,f836]) ).
fof(f2091,plain,
( ~ sQ16_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2090,f127]) ).
fof(f2092,plain,
( ~ sQ16_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f2091]) ).
fof(f2102,plain,
( ~ sQ20_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f2000,f874,f848]) ).
fof(f2104,plain,
( ~ sQ55_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f962,f2066]) ).
fof(f2105,plain,
( ~ sQ55_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f2104]) ).
fof(f2106,plain,
( sQ68_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f1948,f987,f1042]) ).
fof(f2122,plain,
( ~ sQ4_spl
| e0 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f797,f86]) ).
fof(f2123,plain,
( ~ sQ49_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1877,f890,f942]) ).
fof(f2125,plain,
( sQ65_spl
| ~ sQ49_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f1879,f952,f942,f1030]) ).
fof(f2126,plain,
( ~ sQ49_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f943,f121]) ).
fof(f2127,plain,
( ~ sQ49_spl
| e1 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f943,f120]) ).
fof(f2136,plain,
( ~ sQ34_spl
| op(e1,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f894,f81]) ).
fof(f2137,plain,
( ~ sQ25_spl
| op(e1,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f865,f109]) ).
fof(f2140,plain,
( ~ sQ8_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f1955,f965,f809]) ).
fof(f2142,plain,
( ~ sQ25_spl
| ~ sQ26_spl
| e2 = e1 ),
inference(backward_demodulation,[status(thm)],[f868,f865]) ).
fof(f2143,plain,
( ~ sQ4_spl
| e0 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f797,f85]) ).
fof(f2145,plain,
( ~ sQ48_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f1964,f965,f939]) ).
fof(f2146,plain,
( ~ sQ48_spl
| ~ sQ49_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f943,f940]) ).
fof(f2147,plain,
( ~ sQ48_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2146,f126]) ).
fof(f2148,plain,
( ~ sQ48_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f2147]) ).
fof(f2150,plain,
( ~ sQ34_spl
| e2 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f894,f114]) ).
fof(f2152,plain,
( ~ sQ23_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f1890,f883,f857]) ).
fof(f2154,plain,
( sQ92_spl
| ~ sQ23_spl
| e0 != op(op(e3,e1),e3) ),
inference(backward_demodulation,[status(thm)],[f858,f1893]) ).
fof(f2156,plain,
( ~ sQ23_spl
| e3 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f858,f87]) ).
fof(f2157,plain,
( ~ sQ22_spl
| ~ sQ23_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f858,f855]) ).
fof(f2158,plain,
( ~ sQ22_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2157,f131]) ).
fof(f2159,plain,
( ~ sQ22_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f2158]) ).
fof(f2160,plain,
( ~ sQ34_spl
| e2 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f894,f116]) ).
fof(f2162,plain,
( ~ sQ44_spl
| e0 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f927,f101]) ).
fof(f2164,plain,
( ~ sQ44_spl
| op(e0,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f927,f97]) ).
fof(f2168,plain,
( ~ sQ24_spl
| op(e1,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f862,f111]) ).
fof(f2170,plain,
( ~ sQ24_spl
| e0 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f862,f93]) ).
fof(f2171,plain,
( ~ sQ24_spl
| op(e0,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f862,f90]) ).
fof(f2173,plain,
( ~ sQ3_spl
| e3 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f793,f78]) ).
fof(f2177,plain,
( ~ sQ44_spl
| op(e1,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f927,f99]) ).
fof(f2197,plain,
( sQ107_spl
| ~ sQ5_spl
| op(e0,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f800,f1215]) ).
fof(f2198,plain,
( sQ107_spl
| ~ sQ5_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f800,f2197]) ).
fof(f2199,plain,
( sQ107_spl
| ~ sQ5_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2198]) ).
fof(f2200,plain,
( sQ107_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f2199]) ).
fof(f2201,plain,
( ~ sQ51_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f1987,f896,f948]) ).
fof(f2203,plain,
( ~ sQ10_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f2081,f867,f815]) ).
fof(f2204,plain,
( ~ sQ10_spl
| e2 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f816,f91]) ).
fof(f2205,plain,
( ~ sQ10_spl
| e2 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f816,f92]) ).
fof(f2206,plain,
( ~ sQ51_spl
| e3 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f949,f121]) ).
fof(f2207,plain,
( ~ sQ51_spl
| e3 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f949,f120]) ).
fof(f2210,plain,
( ~ sQ51_spl
| op(e1,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f949,f82]) ).
fof(f2215,plain,
( ~ sQ59_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f975,f2206]) ).
fof(f2216,plain,
( ~ sQ59_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f2215]) ).
fof(f2217,plain,
( ~ sQ37_spl
| op(e0,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f904,f85]) ).
fof(f2219,plain,
( ~ sQ37_spl
| e1 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f904,f117]) ).
fof(f2227,plain,
( ~ sQ54_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f1783,f971,f958]) ).
fof(f2235,plain,
( ~ sQ57_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f1803,f812,f968]) ).
fof(f2242,plain,
( ~ sQ44_spl
| op(e2,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f927,f116]) ).
fof(f2247,plain,
( ~ sQ17_spl
| e1 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f839,f108]) ).
fof(f2249,plain,
( ~ sQ8_spl
| op(e0,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f810,f105]) ).
fof(f2250,plain,
( ~ sQ4_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f797,f2249]) ).
fof(f2251,plain,
( ~ sQ4_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f2250]) ).
fof(f2257,plain,
( ~ sQ34_spl
| e2 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f894,f115]) ).
fof(f2277,plain,
( ~ sQ9_spl
| e1 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f813,f107]) ).
fof(f2280,plain,
( sQ106_spl
| ~ sQ3_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f1898,f822,f792,f1209]) ).
fof(f2281,plain,
( ~ sQ3_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f2173,f844,f792]) ).
fof(f2297,plain,
( ~ sQ63_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f1946,f961,f987]) ).
fof(f2309,plain,
( ~ sQ63_spl
| op(e0,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f988,f98]) ).
fof(f2317,plain,
( ~ sQ26_spl
| e2 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f868,f94]) ).
fof(f2318,plain,
( ~ sQ26_spl
| ~ sQ58_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f972,f2317]) ).
fof(f2319,plain,
( ~ sQ26_spl
| ~ sQ58_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2318]) ).
fof(f2320,plain,
( ~ sQ26_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f2319]) ).
fof(f2324,plain,
( ~ sQ37_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f2217,f799,f903]) ).
fof(f2326,plain,
( sQ71_spl
| ~ sQ20_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f1999,f805,f848,f1056]) ).
fof(f2328,plain,
( ~ sQ25_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f2137,f838,f864]) ).
fof(f2329,plain,
( ~ sQ44_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f2164,f822,f926]) ).
fof(f2336,plain,
( ~ sQ36_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f2082,f887,f900]) ).
fof(f2337,plain,
( ~ sQ36_spl
| ~ sQ37_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f904,f901]) ).
fof(f2338,plain,
( ~ sQ36_spl
| ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2337,f126]) ).
fof(f2339,plain,
( ~ sQ36_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f2338]) ).
fof(f2349,plain,
( ~ sQ44_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2055,f127]) ).
fof(f2350,plain,
( ~ sQ44_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f2349]) ).
fof(f2352,plain,
( ~ sQ25_spl
| e1 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f865,f113]) ).
fof(f2356,plain,
( ~ sQ2_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f2028,f893,f789]) ).
fof(f2369,plain,
( ~ sQ2_spl
| e2 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f790,f80]) ).
fof(f2371,plain,
( ~ sQ62_spl
| op(e3,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f985,f125]) ).
fof(f2374,plain,
( ~ sQ62_spl
| op(e3,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f985,f122]) ).
fof(f2381,plain,
( sQ88_spl
| ~ sQ62_spl
| e0 != op(op(e2,e3),op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f985,f1119]) ).
fof(f2382,plain,
( sQ88_spl
| ~ sQ62_spl
| e0 != op(op(e2,e3),e2) ),
inference(forward_demodulation,[status(thm)],[f985,f2381]) ).
fof(f2383,plain,
( sQ81_spl
| ~ sQ62_spl
| e1 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f985,f1093]) ).
fof(f2388,plain,
( ~ sQ62_spl
| op(e0,e3) != e2 ),
inference(forward_demodulation,[status(thm)],[f985,f98]) ).
fof(f2399,plain,
( ~ sQ51_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f2210,f844,f948]) ).
fof(f2400,plain,
( ~ sQ51_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f2207,f961,f948]) ).
fof(f2403,plain,
( sQ75_spl
| ~ sQ40_spl
| e3 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f914,f1072]) ).
fof(f2412,plain,
( ~ sQ40_spl
| op(e0,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f914,f91]) ).
fof(f2414,plain,
( ~ sQ27_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f1821,f922,f870]) ).
fof(f2416,plain,
( ~ sQ25_spl
| ~ sQ27_spl
| e3 = e1 ),
inference(backward_demodulation,[status(thm)],[f871,f865]) ).
fof(f2417,plain,
( ~ sQ27_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f1820,f844,f870]) ).
fof(f2418,plain,
( ~ sQ27_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f1819,f857,f870]) ).
fof(f2421,plain,
( ~ sQ4_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f2143,f900,f796]) ).
fof(f2423,plain,
( ~ sQ15_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f1864,f805,f831]) ).
fof(f2438,plain,
( ~ sQ16_spl
| e0 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f836,f108]) ).
fof(f2450,plain,
( ~ sQ34_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f2150,f906,f893]) ).
fof(f2452,plain,
( ~ sQ29_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f878,f2352]) ).
fof(f2453,plain,
( ~ sQ29_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f2452]) ).
fof(f2459,plain,
( ~ sQ45_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1795,f890,f929]) ).
fof(f2461,plain,
( ~ sQ45_spl
| sQ81_spl
| ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f930,f2383]) ).
fof(f2462,plain,
( ~ sQ45_spl
| sQ81_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f2461]) ).
fof(f2465,plain,
( ~ sQ23_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f2156,f909,f857]) ).
fof(f2472,plain,
( ~ sQ41_spl
| ~ sQ43_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f923,f917]) ).
fof(f2473,plain,
( ~ sQ41_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2472,f130]) ).
fof(f2474,plain,
( ~ sQ41_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f2473]) ).
fof(f2476,plain,
( ~ sQ61_spl
| op(e2,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f982,f101]) ).
fof(f2479,plain,
( ~ sQ39_spl
| e3 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f910,f118]) ).
fof(f2481,plain,
( ~ sQ30_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f1772,f854,f880]) ).
fof(f2482,plain,
( ~ sQ30_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f1773,f841,f880]) ).
fof(f2484,plain,
( ~ sQ30_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f1776,f828,f880]) ).
fof(f2497,plain,
( ~ sQ39_spl
| e3 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f910,f89]) ).
fof(f2508,plain,
( ~ sQ32_spl
| e0 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f888,f115]) ).
fof(f2509,plain,
( ~ sQ61_spl
| op(e0,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f982,f98]) ).
fof(f2510,plain,
( ~ sQ61_spl
| op(e1,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f982,f100]) ).
fof(f2513,plain,
( sQ88_spl
| ~ sQ61_spl
| e0 != op(op(e1,e3),op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f982,f1119]) ).
fof(f2514,plain,
( sQ88_spl
| ~ sQ61_spl
| e0 != op(op(e1,e3),e1) ),
inference(forward_demodulation,[status(thm)],[f982,f2513]) ).
fof(f2515,plain,
( ~ sQ61_spl
| op(e3,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f982,f125]) ).
fof(f2518,plain,
( ~ sQ61_spl
| op(e3,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f982,f122]) ).
fof(f2520,plain,
( sQ89_spl
| ~ sQ61_spl
| e0 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f982,f1123]) ).
fof(f2521,plain,
( sQ79_spl
| ~ sQ61_spl
| e2 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f982,f1086]) ).
fof(f2522,plain,
( sQ67_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f1962,f971,f1038]) ).
fof(f2523,plain,
( ~ sQ40_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f914,f2508]) ).
fof(f2524,plain,
( ~ sQ40_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f2523]) ).
fof(f2525,plain,
( ~ sQ40_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2412,f809,f913]) ).
fof(f2526,plain,
( ~ sQ2_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f2026,f802,f789]) ).
fof(f2527,plain,
( ~ sQ2_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2027,f815,f789]) ).
fof(f2529,plain,
( ~ sQ2_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f2369,f945,f789]) ).
fof(f2551,plain,
( ~ sQ37_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f1940,f955,f903]) ).
fof(f2553,plain,
( ~ sQ37_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f2219,f916,f903]) ).
fof(f2555,plain,
( ~ sQ24_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f2168,f848,f861]) ).
fof(f2556,plain,
( ~ sQ24_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2171,f809,f861]) ).
fof(f2565,plain,
( sQ106_spl
| ~ sQ2_spl
| op(e0,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f790,f1211]) ).
fof(f2566,plain,
( sQ109_spl
| ~ sQ13_spl
| op(e0,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f826,f1223]) ).
fof(f2590,plain,
( ~ sQ23_spl
| op(e0,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f858,f84]) ).
fof(f2593,plain,
( ~ sQ8_spl
| sQ106_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f810,f2565]) ).
fof(f2594,plain,
( ~ sQ8_spl
| sQ106_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f2593]) ).
fof(f2619,plain,
( ~ sQ44_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f2177,f874,f926]) ).
fof(f2622,plain,
( ~ sQ44_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f2242,f887,f926]) ).
fof(f2628,plain,
( ~ sQ44_spl
| op(e2,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f927,f119]) ).
fof(f2633,plain,
( ~ sQ23_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f2590,f805,f857]) ).
fof(f2645,plain,
( ~ sQ25_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2142,f129]) ).
fof(f2646,plain,
( ~ sQ25_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f2645]) ).
fof(f2650,plain,
( ~ sQ32_spl
| e0 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f888,f83]) ).
fof(f2653,plain,
( ~ sQ1_spl
| e1 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f787,f103]) ).
fof(f2657,plain,
( ~ sQ1_spl
| e1 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f787,f80]) ).
fof(f2666,plain,
( sQ70_spl
| ~ sQ20_spl
| e2 != op(op(op(e1,e1),e1),e0) ),
inference(backward_demodulation,[status(thm)],[f849,f1055]) ).
fof(f2669,plain,
( ~ sQ20_spl
| e0 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f849,f88]) ).
fof(f2689,plain,
( ~ sQ17_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1958,f786,f838]) ).
fof(f2692,plain,
( ~ sQ12_spl
| op(e0,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f823,f106]) ).
fof(f2693,plain,
( ~ sQ12_spl
| op(e0,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f823,f107]) ).
fof(f2706,plain,
( ~ sQ27_spl
| e3 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f871,f94]) ).
fof(f2712,plain,
( sQ86_spl
| ~ sQ41_spl
| e0 != op(op(op(e2,e2),e2),e1) ),
inference(backward_demodulation,[status(thm)],[f917,f1111]) ).
fof(f2719,plain,
( ~ sQ38_spl
| op(e0,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f907,f85]) ).
fof(f2738,plain,
( ~ sQ53_spl
| op(e0,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f956,f86]) ).
fof(f2748,plain,
( ~ sQ50_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f1789,f971,f945]) ).
fof(f2752,plain,
( ~ sQ50_spl
| ~ sQ51_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f949,f946]) ).
fof(f2753,plain,
( ~ sQ50_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2752,f131]) ).
fof(f2754,plain,
( ~ sQ50_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f2753]) ).
fof(f2764,plain,
( ~ sQ45_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f1794,f903,f929]) ).
fof(f2767,plain,
( ~ sQ32_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f2650,f939,f887]) ).
fof(f2768,plain,
( ~ sQ1_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f2653,f812,f786]) ).
fof(f2778,plain,
( ~ sQ58_spl
| op(e2,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f972,f95]) ).
fof(f2779,plain,
( ~ sQ14_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f1779,f789,f828]) ).
fof(f2782,plain,
( ~ sQ14_spl
| op(e0,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f829,f107]) ).
fof(f2783,plain,
( ~ sQ14_spl
| op(e0,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f829,f106]) ).
fof(f2790,plain,
( ~ sQ22_spl
| e2 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f855,f88]) ).
fof(f2797,plain,
( sQ92_spl
| ~ sQ22_spl
| e0 != op(op(op(e1,e1),e1),e2) ),
inference(backward_demodulation,[status(thm)],[f855,f1135]) ).
fof(f2803,plain,
( ~ sQ48_spl
| e0 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f940,f120]) ).
fof(f2807,plain,
( ~ sQ61_spl
| op(e3,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f982,f124]) ).
fof(f2809,plain,
( ~ sQ61_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f2510,f877,f981]) ).
fof(f2810,plain,
( ~ sQ61_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f2515,f968,f981]) ).
fof(f2812,plain,
( ~ sQ63_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f2309,f831,f987]) ).
fof(f2823,plain,
( ~ sQ52_spl
| op(e2,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f953,f89]) ).
fof(f2824,plain,
( ~ sQ14_spl
| op(e0,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f829,f104]) ).
fof(f2825,plain,
( ~ sQ38_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f2719,f802,f906]) ).
fof(f2830,plain,
( ~ sQ38_spl
| e2 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f907,f118]) ).
fof(f2831,plain,
( ~ sQ38_spl
| e2 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f907,f117]) ).
fof(f2833,plain,
( ~ sQ8_spl
| op(e0,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f810,f103]) ).
fof(f2839,plain,
( ~ sQ5_spl
| op(e0,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f800,f102]) ).
fof(f2847,plain,
( sQ88_spl
| ~ sQ60_spl
| e0 != op(op(op(e3,e3),e3),e0) ),
inference(backward_demodulation,[status(thm)],[f979,f1119]) ).
fof(f2848,plain,
( sQ80_spl
| ~ sQ60_spl
| e2 != op(op(op(e3,e3),e3),e0) ),
inference(backward_demodulation,[status(thm)],[f979,f1090]) ).
fof(f2850,plain,
( sQ79_spl
| ~ sQ60_spl
| e2 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f979,f1086]) ).
fof(f2857,plain,
( ~ sQ57_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f1802,f864,f968]) ).
fof(f2862,plain,
( ~ sQ108_spl
| ~ sQ8_spl
| op(e0,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f810,f1218]) ).
fof(f2863,plain,
( ~ sQ108_spl
| ~ sQ8_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2862,f2824]) ).
fof(f2864,plain,
( ~ sQ108_spl
| ~ sQ8_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f2863]) ).
fof(f2865,plain,
( ~ sQ14_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2782,f815,f828]) ).
fof(f2869,plain,
( sQ87_spl
| ~ sQ43_spl
| e0 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f923,f1115]) ).
fof(f2872,plain,
( sQ86_spl
| ~ sQ43_spl
| e0 != op(op(op(e2,e2),e2),e3) ),
inference(backward_demodulation,[status(thm)],[f923,f1111]) ).
fof(f2883,plain,
( ~ sQ45_spl
| op(e1,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f930,f99]) ).
fof(f2900,plain,
( ~ sQ1_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f2657,f942,f786]) ).
fof(f2915,plain,
( ~ sQ10_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f2205,f971,f815]) ).
fof(f2917,plain,
( ~ sQ81_spl
| ~ sQ60_spl
| e1 = op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f979,f1092]) ).
fof(f2920,plain,
( ~ sQ60_spl
| op(e3,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f979,f122]) ).
fof(f2921,plain,
( sQ88_spl
| ~ sQ60_spl
| e0 != op(op(e0,e3),e0) ),
inference(forward_demodulation,[status(thm)],[f979,f2847]) ).
fof(f2922,plain,
( sQ80_spl
| ~ sQ60_spl
| e2 != op(op(e0,e3),e0) ),
inference(forward_demodulation,[status(thm)],[f979,f2848]) ).
fof(f2923,plain,
( sQ79_spl
| ~ sQ60_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f2850,f828,f978,f1084]) ).
fof(f2926,plain,
( ~ sQ34_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f2257,f919,f893]) ).
fof(f2933,plain,
( sQ106_spl
| ~ sQ1_spl
| op(e0,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f787,f1211]) ).
fof(f2937,plain,
( sQ88_spl
| ~ sQ60_spl
| ~ sQ14_spl
| e0 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f829,f2921]) ).
fof(f2940,plain,
( ~ sQ22_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f2790,f958,f854]) ).
fof(f2942,plain,
( sQ92_spl
| ~ sQ22_spl
| e0 != op(op(e2,e1),e2) ),
inference(backward_demodulation,[status(thm)],[f855,f2797]) ).
fof(f2949,plain,
( ~ sQ22_spl
| op(e1,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f855,f108]) ).
fof(f2958,plain,
( sQ109_spl
| ~ sQ14_spl
| op(e0,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f829,f1223]) ).
fof(f2965,plain,
( ~ sQ21_spl
| ~ sQ22_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f855,f852]) ).
fof(f2966,plain,
( ~ sQ21_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2965,f129]) ).
fof(f2967,plain,
( ~ sQ21_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f2966]) ).
fof(f2969,plain,
( ~ sQ57_spl
| op(e2,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f969,f95]) ).
fof(f2972,plain,
( ~ sQ57_spl
| op(e3,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f969,f123]) ).
fof(f2978,plain,
( ~ sQ16_spl
| e0 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f836,f82]) ).
fof(f2980,plain,
( sQ75_spl
| ~ sQ40_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f2403,f818,f913,f1070]) ).
fof(f3014,plain,
( ~ sQ49_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f1876,f838,f942]) ).
fof(f3015,plain,
( ~ sQ49_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f2126,f968,f942]) ).
fof(f3016,plain,
( ~ sQ49_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f2127,f955,f942]) ).
fof(f3027,plain,
( sQ80_spl
| ~ sQ60_spl
| ~ sQ81_spl
| e2 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f2917,f2922]) ).
fof(f3034,plain,
( ~ sQ60_spl
| op(e0,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f979,f98]) ).
fof(f3035,plain,
( ~ sQ12_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f2692,f796,f822]) ).
fof(f3036,plain,
( ~ sQ12_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f823,f3034]) ).
fof(f3037,plain,
( ~ sQ12_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f3036]) ).
fof(f3047,plain,
( ~ sQ62_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f2388,f828,f984]) ).
fof(f3048,plain,
( ~ sQ57_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f2969,f916,f968]) ).
fof(f3050,plain,
( ~ sQ16_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f2978,f939,f835]) ).
fof(f3051,plain,
( ~ sQ16_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f2438,f848,f835]) ).
fof(f3056,plain,
( sQ70_spl
| ~ sQ20_spl
| e2 != op(op(e0,e1),e0) ),
inference(backward_demodulation,[status(thm)],[f849,f2666]) ).
fof(f3063,plain,
( sQ72_spl
| ~ sQ20_spl
| e3 != op(op(op(e1,e1),e1),e0) ),
inference(backward_demodulation,[status(thm)],[f849,f1062]) ).
fof(f3077,plain,
( ~ sQ48_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1977,f128]) ).
fof(f3078,plain,
( ~ sQ48_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f3077]) ).
fof(f3088,plain,
( ~ sQ54_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f1784,f945,f958]) ).
fof(f3105,plain,
( ~ sQ1_spl
| e1 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f787,f104]) ).
fof(f3110,plain,
( sQ106_spl
| ~ sQ1_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f2933,f796,f786,f1209]) ).
fof(f3115,plain,
( ~ sQ14_spl
| e2 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f829,f97]) ).
fof(f3117,plain,
( sQ109_spl
| ~ sQ14_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f2958,f818,f828,f1221]) ).
fof(f3121,plain,
( ~ sQ44_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f2628,f913,f926]) ).
fof(f3129,plain,
( ~ sQ44_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f2162,f978,f926]) ).
fof(f3141,plain,
( sQ92_spl
| ~ sQ23_spl
| ~ sQ54_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f959,f2154]) ).
fof(f3142,plain,
( sQ92_spl
| ~ sQ23_spl
| ~ sQ54_spl
| ~ sQ44_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f927,f3141]) ).
fof(f3143,plain,
( sQ92_spl
| ~ sQ23_spl
| ~ sQ54_spl
| ~ sQ44_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3142]) ).
fof(f3144,plain,
( sQ92_spl
| ~ sQ23_spl
| ~ sQ54_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f3143]) ).
fof(f3146,plain,
( sQ90_spl
| ~ sQ2_spl
| e1 != op(op(op(e0,e0),e0),e2) ),
inference(backward_demodulation,[status(thm)],[f790,f1127]) ).
fof(f3166,plain,
( ~ sQ58_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f2778,f919,f971]) ).
fof(f3168,plain,
( ~ sQ20_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f2669,f952,f848]) ).
fof(f3174,plain,
( sQ72_spl
| ~ sQ20_spl
| e3 != op(op(e0,e1),e0) ),
inference(backward_demodulation,[status(thm)],[f849,f3063]) ).
fof(f3206,plain,
( ~ sQ9_spl
| e1 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f813,f90]) ).
fof(f3222,plain,
( ~ sQ23_spl
| op(e1,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f858,f108]) ).
fof(f3224,plain,
( sQ73_spl
| ~ sQ23_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f1894,f958,f857,f1063]) ).
fof(f3229,plain,
( sQ87_spl
| ~ sQ43_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f2869,f965,f922,f1113]) ).
fof(f3230,plain,
( sQ86_spl
| ~ sQ43_spl
| e0 != op(op(e3,e2),e3) ),
inference(backward_demodulation,[status(thm)],[f923,f2872]) ).
fof(f3254,plain,
( ~ sQ51_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1984,f792,f948]) ).
fof(f3257,plain,
( ~ sQ32_spl
| op(e0,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f888,f79]) ).
fof(f3262,plain,
( ~ sQ49_spl
| ~ sQ51_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f949,f943]) ).
fof(f3263,plain,
( ~ sQ49_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3262,f130]) ).
fof(f3264,plain,
( ~ sQ49_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f3263]) ).
fof(f3280,plain,
( sQ78_spl
| ~ sQ60_spl
| e1 != op(op(op(e3,e3),e3),e0) ),
inference(backward_demodulation,[status(thm)],[f979,f1083]) ).
fof(f3282,plain,
( ~ sQ60_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f2920,f939,f978]) ).
fof(f3292,plain,
( ~ sQ54_spl
| op(e0,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f959,f86]) ).
fof(f3322,plain,
( ~ sQ24_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f2170,f913,f861]) ).
fof(f3339,plain,
( ~ sQ42_spl
| e2 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f920,f119]) ).
fof(f3340,plain,
( ~ sQ42_spl
| ~ sQ46_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f933,f3339]) ).
fof(f3341,plain,
( ~ sQ42_spl
| ~ sQ46_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3340]) ).
fof(f3342,plain,
( ~ sQ42_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f3341]) ).
fof(f3343,plain,
( ~ sQ48_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f2803,f952,f939]) ).
fof(f3353,plain,
( ~ sQ5_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f2839,f786,f799]) ).
fof(f3362,plain,
( ~ sQ28_spl
| e0 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f875,f100]) ).
fof(f3364,plain,
( ~ sQ28_spl
| op(e0,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f875,f96]) ).
fof(f3373,plain,
( ~ sQ109_spl
| ~ sQ14_spl
| op(e0,e2) = e3 ),
inference(backward_demodulation,[status(thm)],[f829,f1222]) ).
fof(f3382,plain,
( ~ sQ4_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f2122,f952,f796]) ).
fof(f3388,plain,
( sQ83_spl
| ~ sQ1_spl
| e3 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f787,f1100]) ).
fof(f3427,plain,
( ~ sQ22_spl
| e2 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f855,f111]) ).
fof(f3428,plain,
( ~ sQ22_spl
| e2 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f855,f87]) ).
fof(f3432,plain,
( sQ71_spl
| ~ sQ22_spl
| e3 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f855,f1058]) ).
fof(f3473,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f800,f797]) ).
fof(f3474,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3473,f126]) ).
fof(f3475,plain,
( ~ sQ4_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f3474]) ).
fof(f3476,plain,
( sQ79_spl
| ~ sQ61_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f2521,f880,f981,f1084]) ).
fof(f3477,plain,
( ~ sQ61_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f2807,f955,f981]) ).
fof(f3479,plain,
( ~ sQ39_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f2479,f935,f909]) ).
fof(f3484,plain,
( ~ sQ39_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f1829,f805,f909]) ).
fof(f3485,plain,
( ~ sQ68_spl
| ~ sQ61_spl
| op(e3,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f982,f1043]) ).
fof(f3486,plain,
( ~ sQ68_spl
| ~ sQ61_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3485,f2497]) ).
fof(f3487,plain,
( ~ sQ68_spl
| ~ sQ61_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f3486]) ).
fof(f3506,plain,
( ~ sQ23_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f3222,f844,f857]) ).
fof(f3509,plain,
( sQ83_spl
| ~ sQ1_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f3388,f844,f786,f1098]) ).
fof(f3521,plain,
( ~ sQ1_spl
| e1 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f787,f79]) ).
fof(f3529,plain,
( ~ sQ14_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f3115,f932,f828]) ).
fof(f3535,plain,
( sQ108_spl
| ~ sQ109_spl
| ~ sQ14_spl
| op(e0,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f3373,f1219]) ).
fof(f3571,plain,
( ~ sQ63_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f1947,f974,f987]) ).
fof(f3593,plain,
( sQ97_spl
| ~ sQ40_spl
| op(e2,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f914,f1162]) ).
fof(f3594,plain,
( sQ77_spl
| ~ sQ40_spl
| e1 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f914,f1079]) ).
fof(f3638,plain,
( ~ sQ79_spl
| ~ sQ61_spl
| e2 = op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f982,f1085]) ).
fof(f3641,plain,
( ~ sQ61_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f2476,f929,f981]) ).
fof(f3642,plain,
( ~ sQ61_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f2518,f942,f981]) ).
fof(f3643,plain,
( ~ sQ61_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f2509,f825,f981]) ).
fof(f3654,plain,
( ~ sQ11_spl
| e3 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f819,f92]) ).
fof(f3655,plain,
( ~ sQ11_spl
| ~ sQ59_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f975,f3654]) ).
fof(f3656,plain,
( ~ sQ11_spl
| ~ sQ59_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3655]) ).
fof(f3657,plain,
( ~ sQ11_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f3656]) ).
fof(f3665,plain,
( ~ sQ0_spl
| e0 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f784,f104]) ).
fof(f3674,plain,
( ~ sQ45_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f2883,f877,f929]) ).
fof(f3684,plain,
( ~ sQ21_spl
| e1 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f852,f111]) ).
fof(f3688,plain,
( sQ78_spl
| ~ sQ79_spl
| e1 != op(e2,op(e3,e3)) ),
inference(backward_demodulation,[status(thm)],[f1085,f1083]) ).
fof(f3696,plain,
( ~ sQ21_spl
| ~ sQ23_spl
| e3 = e1 ),
inference(backward_demodulation,[status(thm)],[f858,f852]) ).
fof(f3712,plain,
( ~ sQ43_spl
| op(e2,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f923,f115]) ).
fof(f3716,plain,
( ~ sQ14_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f2783,f802,f828]) ).
fof(f3720,plain,
( sQ108_spl
| ~ sQ109_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f3535,f828,f1221,f1217]) ).
fof(f3721,plain,
( ~ sQ109_spl
| ~ sQ14_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f3373,f818,f828,f1221]) ).
fof(f3742,plain,
( ~ sQ1_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f3105,f825,f786]) ).
fof(f3770,plain,
( ~ sQ34_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f2136,f841,f893]) ).
fof(f3771,plain,
( ~ sQ34_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f2160,f932,f893]) ).
fof(f3782,plain,
( ~ sQ106_spl
| ~ sQ3_spl
| op(e0,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f793,f1210]) ).
fof(f3783,plain,
( ~ sQ106_spl
| ~ sQ3_spl
| sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3782,f824]) ).
fof(f3784,plain,
( ~ sQ106_spl
| ~ sQ3_spl
| sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f3783]) ).
fof(f3806,plain,
( sQ75_spl
| ~ sQ41_spl
| e3 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f917,f1072]) ).
fof(f3810,plain,
( sQ86_spl
| ~ sQ41_spl
| e0 != op(op(e1,e2),e1) ),
inference(forward_demodulation,[status(thm)],[f917,f2712]) ).
fof(f3814,plain,
( ~ sQ21_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3696,f130]) ).
fof(f3815,plain,
( ~ sQ21_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f3814]) ).
fof(f3832,plain,
( ~ sQ54_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f3292,f802,f958]) ).
fof(f3836,plain,
( ~ sQ54_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f1782,f984,f958]) ).
fof(f3842,plain,
( ~ sQ30_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f1774,f984,f880]) ).
fof(f3845,plain,
( ~ sQ21_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f3684,f864,f851]) ).
fof(f3850,plain,
( ~ sQ21_spl
| op(e0,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f852,f84]) ).
fof(f3857,plain,
( ~ sQ0_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f3665,f822,f783]) ).
fof(f3863,plain,
( sQ67_spl
| ~ sQ59_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f1855,f984,f974,f1038]) ).
fof(f3884,plain,
( ~ sQ6_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1927,f815,f802]) ).
fof(f3889,plain,
( ~ sQ107_spl
| ~ sQ6_spl
| op(e0,e2) = e1 ),
inference(backward_demodulation,[status(thm)],[f803,f1214]) ).
fof(f3900,plain,
( sQ66_spl
| ~ sQ54_spl
| op(e3,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f959,f1036]) ).
fof(f3903,plain,
( ~ sQ9_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f2277,f825,f812]) ).
fof(f3905,plain,
( ~ sQ9_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f3206,f864,f812]) ).
fof(f3923,plain,
( ~ sQ0_spl
| e0 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f784,f102]) ).
fof(f3951,plain,
( sQ73_spl
| ~ sQ20_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f1996,f802,f848,f1063]) ).
fof(f3957,plain,
( sQ72_spl
| ~ sQ20_spl
| ~ sQ6_spl
| e3 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f803,f3174]) ).
fof(f3964,plain,
( ~ sQ20_spl
| ~ sQ21_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f852,f849]) ).
fof(f3965,plain,
( ~ sQ20_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3964,f126]) ).
fof(f3966,plain,
( ~ sQ20_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f3965]) ).
fof(f3972,plain,
( ~ sQ12_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2693,f809,f822]) ).
fof(f3983,plain,
( sQ90_spl
| ~ sQ2_spl
| e1 != op(op(e2,e0),e2) ),
inference(backward_demodulation,[status(thm)],[f790,f3146]) ).
fof(f3995,plain,
( ~ sQ57_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f2972,f955,f968]) ).
fof(f4004,plain,
( ~ sQ52_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f2823,f900,f952]) ).
fof(f4010,plain,
( ~ sQ22_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f3427,f867,f854]) ).
fof(f4011,plain,
( ~ sQ22_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f3428,f906,f854]) ).
fof(f4021,plain,
( ~ sQ107_spl
| ~ sQ7_spl
| op(e0,e3) = e1 ),
inference(backward_demodulation,[status(thm)],[f806,f1214]) ).
fof(f4042,plain,
( ~ sQ106_spl
| ~ sQ2_spl
| op(e0,e2) = e0 ),
inference(forward_demodulation,[status(thm)],[f790,f1210]) ).
fof(f4067,plain,
( ~ sQ53_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f2738,f799,f955]) ).
fof(f4068,plain,
( ~ sQ52_spl
| ~ sQ53_spl
| e1 = e0 ),
inference(backward_demodulation,[status(thm)],[f956,f953]) ).
fof(f4077,plain,
( ~ sQ106_spl
| ~ sQ2_spl
| e0 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f4042,f107]) ).
fof(f4078,plain,
( ~ sQ106_spl
| ~ sQ2_spl
| ~ sQ12_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f823,f4077]) ).
fof(f4079,plain,
( ~ sQ106_spl
| ~ sQ2_spl
| ~ sQ12_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4078]) ).
fof(f4080,plain,
( ~ sQ106_spl
| ~ sQ2_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f4079]) ).
fof(f4082,plain,
( ~ sQ27_spl
| e3 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f871,f113]) ).
fof(f4088,plain,
( sQ82_spl
| ~ sQ1_spl
| e2 != op(op(op(e0,e0),e0),e1) ),
inference(backward_demodulation,[status(thm)],[f787,f1097]) ).
fof(f4094,plain,
( sQ89_spl
| ~ sQ61_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f2520,f874,f981,f1121]) ).
fof(f4137,plain,
( ~ sQ107_spl
| ~ sQ6_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f3889,f812,f802,f1213]) ).
fof(f4144,plain,
( ~ sQ66_spl
| ~ sQ52_spl
| op(e3,e0) = e1 ),
inference(backward_demodulation,[status(thm)],[f953,f1035]) ).
fof(f4194,plain,
( sQ75_spl
| ~ sQ41_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f3806,f870,f916,f1070]) ).
fof(f4206,plain,
( sQ86_spl
| ~ sQ41_spl
| ~ sQ27_spl
| e0 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f871,f3810]) ).
fof(f4207,plain,
( sQ86_spl
| ~ sQ41_spl
| ~ sQ27_spl
| ~ sQ52_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f953,f4206]) ).
fof(f4208,plain,
( sQ86_spl
| ~ sQ41_spl
| ~ sQ27_spl
| ~ sQ52_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4207]) ).
fof(f4209,plain,
( sQ86_spl
| ~ sQ41_spl
| ~ sQ27_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f4208]) ).
fof(f4220,plain,
( ~ sQ28_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f3364,f822,f874]) ).
fof(f4235,plain,
( sQ80_spl
| ~ sQ61_spl
| e2 != op(op(e1,e3),op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f982,f1090]) ).
fof(f4248,plain,
( ~ sQ89_spl
| ~ sQ61_spl
| e0 = op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f982,f1122]) ).
fof(f4286,plain,
( sQ83_spl
| ~ sQ2_spl
| e3 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f790,f1100]) ).
fof(f4287,plain,
( sQ91_spl
| ~ sQ2_spl
| e1 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f790,f1131]) ).
fof(f4309,plain,
( ~ sQ11_spl
| e3 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f819,f107]) ).
fof(f4313,plain,
( sQ82_spl
| ~ sQ1_spl
| e2 != op(op(e1,e0),e1) ),
inference(backward_demodulation,[status(thm)],[f787,f4088]) ).
fof(f4394,plain,
( sQ71_spl
| ~ sQ22_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f3432,f909,f854,f1056]) ).
fof(f4437,plain,
( sQ97_spl
| ~ sQ40_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f3593,f893,f913,f1160]) ).
fof(f4458,plain,
( ~ sQ40_spl
| e0 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f914,f95]) ).
fof(f4462,plain,
( sQ74_spl
| ~ sQ75_spl
| e1 != op(e3,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f1071,f1069]) ).
fof(f4463,plain,
( sQ74_spl
| ~ sQ75_spl
| ~ sQ40_spl
| e1 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f914,f4462]) ).
fof(f4579,plain,
( ~ sQ97_spl
| ~ sQ40_spl
| op(e2,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f914,f1161]) ).
fof(f4591,plain,
( ~ sQ71_spl
| ~ sQ22_spl
| e3 = op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f855,f1057]) ).
fof(f4598,plain,
( sQ101_spl
| ~ sQ19_spl
| op(e1,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f845,f1184]) ).
fof(f4599,plain,
( sQ101_spl
| ~ sQ19_spl
| ~ sQ28_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f875,f4598]) ).
fof(f4600,plain,
( sQ101_spl
| ~ sQ19_spl
| ~ sQ28_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4599]) ).
fof(f4601,plain,
( sQ101_spl
| ~ sQ19_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f4600]) ).
fof(f4604,plain,
( ~ sQ48_spl
| op(e0,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f940,f80]) ).
fof(f4627,plain,
( sQ84_spl
| ~ sQ2_spl
| e3 != op(op(op(e0,e0),e0),e2) ),
inference(backward_demodulation,[status(thm)],[f790,f1104]) ).
fof(f4644,plain,
( ~ sQ71_spl
| ~ sQ20_spl
| e3 = op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f849,f1057]) ).
fof(f4746,plain,
( sQ109_spl
| ~ sQ13_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f2566,f805,f825,f1221]) ).
fof(f4767,plain,
( sQ109_spl
| ~ sQ13_spl
| op(e0,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f826,f1223]) ).
fof(f4768,plain,
( sQ109_spl
| ~ sQ13_spl
| ~ sQ71_spl
| ~ sQ20_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f4644,f4767]) ).
fof(f4769,plain,
( sQ109_spl
| ~ sQ13_spl
| ~ sQ71_spl
| ~ sQ20_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4768]) ).
fof(f4770,plain,
( sQ109_spl
| ~ sQ13_spl
| ~ sQ71_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f4769]) ).
fof(f4791,plain,
( sQ90_spl
| ~ sQ2_spl
| ~ sQ35_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f897,f3983]) ).
fof(f4792,plain,
( sQ97_spl
| ~ sQ41_spl
| op(e2,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f917,f1162]) ).
fof(f4793,plain,
( sQ97_spl
| ~ sQ41_spl
| ~ sQ38_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f907,f4792]) ).
fof(f4794,plain,
( sQ97_spl
| ~ sQ41_spl
| ~ sQ38_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4793]) ).
fof(f4795,plain,
( sQ97_spl
| ~ sQ41_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f4794]) ).
fof(f4812,plain,
( sQ70_spl
| ~ sQ20_spl
| e2 != op(op(e0,e1),op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f849,f1055]) ).
fof(f4813,plain,
( sQ70_spl
| ~ sQ20_spl
| ~ sQ71_spl
| e2 != op(e3,op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f4644,f4812]) ).
fof(f4814,plain,
( sQ70_spl
| ~ sQ20_spl
| ~ sQ71_spl
| e2 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f849,f4813]) ).
fof(f4823,plain,
( sQ84_spl
| ~ sQ2_spl
| e3 != op(op(e2,e0),e2) ),
inference(forward_demodulation,[status(thm)],[f790,f4627]) ).
fof(f4847,plain,
( ~ sQ109_spl
| ~ sQ13_spl
| op(e0,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f826,f1222]) ).
fof(f4853,plain,
( sQ101_spl
| ~ sQ17_spl
| op(e1,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f839,f1184]) ).
fof(f4854,plain,
( sQ101_spl
| ~ sQ17_spl
| ~ sQ20_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f849,f4853]) ).
fof(f4855,plain,
( sQ101_spl
| ~ sQ17_spl
| ~ sQ20_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4854]) ).
fof(f4856,plain,
( sQ101_spl
| ~ sQ17_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f4855]) ).
fof(f4859,plain,
( ~ sQ109_spl
| ~ sQ13_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f4847,f805,f825,f1221]) ).
fof(f4867,plain,
( ~ sQ28_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f3362,f978,f874]) ).
fof(f4882,plain,
( sQ102_spl
| ~ sQ22_spl
| op(e1,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f855,f1188]) ).
fof(f4884,plain,
( sQ92_spl
| ~ sQ22_spl
| ~ sQ71_spl
| e0 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f4591,f2942]) ).
fof(f4901,plain,
( ~ sQ13_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f2018,f929,f825]) ).
fof(f4927,plain,
( ~ sQ43_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f3712,f896,f922]) ).
fof(f4964,plain,
( sQ90_spl
| ~ sQ2_spl
| ~ sQ35_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f4791,f968,f896,f789,f1125]) ).
fof(f4978,plain,
( sQ86_spl
| ~ sQ43_spl
| ~ sQ57_spl
| e0 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f969,f3230]) ).
fof(f4987,plain,
( ~ sQ35_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f1831,f844,f896]) ).
fof(f5009,plain,
( ~ sQ45_spl
| ~ sQ46_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f933,f930]) ).
fof(f5010,plain,
( ~ sQ45_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5009,f129]) ).
fof(f5011,plain,
( ~ sQ45_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f5010]) ).
fof(f5014,plain,
( ~ sQ0_spl
| ~ sQ2_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f790,f784]) ).
fof(f5015,plain,
( ~ sQ0_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5014,f127]) ).
fof(f5016,plain,
( ~ sQ0_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f5015]) ).
fof(f5017,plain,
( ~ sQ0_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f3923,f796,f783]) ).
fof(f5049,plain,
( ~ sQ11_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f4309,f831,f818]) ).
fof(f5059,plain,
( sQ101_spl
| ~ sQ18_spl
| op(e1,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f842,f1184]) ).
fof(f5062,plain,
( ~ sQ56_spl
| op(e3,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f966,f123]) ).
fof(f5083,plain,
( ~ sQ1_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f3521,f890,f786]) ).
fof(f5124,plain,
( ~ sQ0_spl
| ~ sQ1_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f787,f784]) ).
fof(f5125,plain,
( ~ sQ0_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5124,f126]) ).
fof(f5126,plain,
( ~ sQ0_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f5125]) ).
fof(f5136,plain,
( ~ sQ40_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f4458,f965,f913]) ).
fof(f5147,plain,
( ~ sQ56_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f5062,f952,f965]) ).
fof(f5158,plain,
( sQ84_spl
| ~ sQ2_spl
| ~ sQ33_spl
| e3 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f891,f4823]) ).
fof(f5166,plain,
( ~ sQ66_spl
| ~ sQ52_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f4144,f942,f952,f1034]) ).
fof(f5167,plain,
( ~ sQ52_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4068,f126]) ).
fof(f5168,plain,
( ~ sQ52_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f5167]) ).
fof(f5190,plain,
( ~ sQ27_spl
| sQ84_spl
| ~ sQ2_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f871,f5158]) ).
fof(f5191,plain,
( ~ sQ27_spl
| sQ84_spl
| ~ sQ2_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f5190]) ).
fof(f5200,plain,
( sQ101_spl
| ~ sQ16_spl
| op(e1,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f836,f1184]) ).
fof(f5201,plain,
( sQ101_spl
| ~ sQ16_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f836,f5200]) ).
fof(f5202,plain,
( sQ101_spl
| ~ sQ16_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5201]) ).
fof(f5203,plain,
( sQ101_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f5202]) ).
fof(f5261,plain,
( sQ88_spl
| ~ sQ60_spl
| ~ sQ14_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f2937,f887,f828,f978,f1117]) ).
fof(f5285,plain,
( sQ66_spl
| ~ sQ54_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f3900,f968,f958,f1034]) ).
fof(f5292,plain,
( sQ81_spl
| ~ sQ60_spl
| e1 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f979,f1093]) ).
fof(f5297,plain,
( sQ78_spl
| ~ sQ60_spl
| e1 != op(op(e0,e3),e0) ),
inference(forward_demodulation,[status(thm)],[f979,f3280]) ).
fof(f5298,plain,
( sQ78_spl
| ~ sQ60_spl
| ~ sQ14_spl
| e1 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f829,f5297]) ).
fof(f5388,plain,
( sQ101_spl
| ~ sQ18_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f5059,f861,f841,f1182]) ).
fof(f5392,plain,
( sQ78_spl
| ~ sQ79_spl
| ~ sQ60_spl
| e1 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f979,f3688]) ).
fof(f5457,plain,
( sQ102_spl
| ~ sQ23_spl
| op(e1,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f858,f1188]) ).
fof(f5458,plain,
( sQ102_spl
| ~ sQ23_spl
| ~ sQ29_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f878,f5457]) ).
fof(f5459,plain,
( sQ102_spl
| ~ sQ23_spl
| ~ sQ29_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5458]) ).
fof(f5460,plain,
( sQ102_spl
| ~ sQ23_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f5459]) ).
fof(f5468,plain,
( sQ97_spl
| ~ sQ42_spl
| op(e2,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f920,f1162]) ).
fof(f5469,plain,
( sQ97_spl
| ~ sQ42_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f920,f5468]) ).
fof(f5470,plain,
( sQ97_spl
| ~ sQ42_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5469]) ).
fof(f5471,plain,
( sQ97_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f5470]) ).
fof(f5473,plain,
( ~ sQ37_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f1937,f851,f903]) ).
fof(f5482,plain,
( sQ80_spl
| ~ sQ61_spl
| e2 != op(op(e1,e3),e1) ),
inference(forward_demodulation,[status(thm)],[f982,f4235]) ).
fof(f5513,plain,
( ~ sQ97_spl
| ~ sQ40_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f4579,f893,f913,f1160]) ).
fof(f5548,plain,
( ~ sQ27_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f2706,f974,f870]) ).
fof(f5549,plain,
( ~ sQ97_spl
| ~ sQ40_spl
| op(e2,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f914,f1161]) ).
fof(f5550,plain,
( ~ sQ97_spl
| ~ sQ40_spl
| ~ sQ35_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f897,f5549]) ).
fof(f5551,plain,
( ~ sQ97_spl
| ~ sQ40_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5550,f131]) ).
fof(f5552,plain,
( ~ sQ97_spl
| ~ sQ40_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f5551]) ).
fof(f5559,plain,
( ~ sQ17_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f2247,f851,f838]) ).
fof(f5566,plain,
( ~ sQ21_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f3850,f799,f851]) ).
fof(f5600,plain,
( sQ86_spl
| ~ sQ43_spl
| ~ sQ57_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f4978,f874,f968,f922,f1109]) ).
fof(f5677,plain,
( ~ sQ7_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f806,f102]) ).
fof(f5680,plain,
( ~ sQ107_spl
| ~ sQ7_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f4021,f825,f805,f1213]) ).
fof(f5691,plain,
( ~ sQ32_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f3257,f783,f887]) ).
fof(f5709,plain,
( ~ sQ8_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f2833,f783,f809]) ).
fof(f5735,plain,
( ~ sQ5_spl
| ~ sQ7_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f806,f800]) ).
fof(f5736,plain,
( ~ sQ5_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5735,f130]) ).
fof(f5737,plain,
( ~ sQ5_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f5736]) ).
fof(f5871,plain,
( ~ sQ10_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f2204,f919,f815]) ).
fof(f5876,plain,
( ~ sQ101_spl
| ~ sQ18_spl
| op(e1,e2) = e0 ),
inference(forward_demodulation,[status(thm)],[f842,f1183]) ).
fof(f5890,plain,
( ~ sQ97_spl
| ~ sQ43_spl
| op(e2,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f923,f1161]) ).
fof(f5891,plain,
( ~ sQ97_spl
| ~ sQ43_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5890,f2830]) ).
fof(f5892,plain,
( ~ sQ97_spl
| ~ sQ43_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f5891]) ).
fof(f5911,plain,
( sQ68_spl
| ~ sQ61_spl
| op(e3,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f982,f1044]) ).
fof(f5913,plain,
( sQ88_spl
| ~ sQ61_spl
| ~ sQ79_spl
| e0 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f3638,f2514]) ).
fof(f5925,plain,
( sQ91_spl
| ~ sQ2_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f4287,f890,f789,f1129]) ).
fof(f6008,plain,
( sQ67_spl
| ~ sQ56_spl
| op(e3,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f966,f1040]) ).
fof(f6089,plain,
( ~ sQ21_spl
| e1 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f852,f112]) ).
fof(f6106,plain,
( sQ81_spl
| ~ sQ60_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f5292,f825,f978,f1091]) ).
fof(f6235,plain,
( sQ95_spl
| ~ sQ33_spl
| op(e2,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f891,f1154]) ).
fof(f6236,plain,
( sQ95_spl
| ~ sQ33_spl
| ~ sQ36_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f901,f6235]) ).
fof(f6237,plain,
( sQ95_spl
| ~ sQ33_spl
| ~ sQ36_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6236]) ).
fof(f6238,plain,
( sQ95_spl
| ~ sQ33_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f6237]) ).
fof(f6246,plain,
( sQ70_spl
| ~ sQ20_spl
| ~ sQ7_spl
| e2 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f806,f3056]) ).
fof(f6254,plain,
( ~ sQ7_spl
| e3 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f806,f86]) ).
fof(f6289,plain,
( ~ sQ27_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f4082,f883,f870]) ).
fof(f6334,plain,
( sQ88_spl
| ~ sQ62_spl
| ~ sQ45_spl
| e0 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f930,f2382]) ).
fof(f6343,plain,
( ~ sQ38_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f2831,f919,f906]) ).
fof(f6346,plain,
( ~ sQ31_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f1909,f935,f883]) ).
fof(f6367,plain,
( ~ sQ101_spl
| ~ sQ18_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f5876,f861,f841,f1182]) ).
fof(f6378,plain,
( ~ sQ17_spl
| ~ sQ18_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f842,f839]) ).
fof(f6379,plain,
( ~ sQ17_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6378,f129]) ).
fof(f6380,plain,
( ~ sQ17_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f6379]) ).
fof(f6382,plain,
( ~ sQ9_spl
| e1 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f813,f91]) ).
fof(f6477,plain,
( sQ92_spl
| ~ sQ22_spl
| ~ sQ71_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f4884,f965,f1056,f854,f1133]) ).
fof(f6491,plain,
( ~ sQ9_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f6382,f916,f812]) ).
fof(f6546,plain,
( ~ sQ41_spl
| op(e2,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f917,f115]) ).
fof(f6548,plain,
( ~ sQ41_spl
| op(e1,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f917,f93]) ).
fof(f6585,plain,
( sQ102_spl
| ~ sQ21_spl
| op(e1,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f852,f1188]) ).
fof(f6587,plain,
( ~ sQ21_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f6089,f877,f851]) ).
fof(f6706,plain,
( ~ sQ41_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f6546,f890,f916]) ).
fof(f6707,plain,
( ~ sQ41_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f6548,f864,f916]) ).
fof(f6718,plain,
( ~ sQ62_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f2374,f945,f984]) ).
fof(f6721,plain,
( ~ sQ22_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f2949,f841,f854]) ).
fof(f6723,plain,
( sQ102_spl
| ~ sQ22_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f4882,f864,f854,f1186]) ).
fof(f6735,plain,
( ~ sQ62_spl
| op(e2,e3) != e2 ),
inference(forward_demodulation,[status(thm)],[f985,f101]) ).
fof(f6742,plain,
( ~ sQ7_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f6254,f961,f805]) ).
fof(f6744,plain,
( ~ sQ7_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f5677,f792,f805]) ).
fof(f6767,plain,
( sQ85_spl
| ~ sQ3_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f1902,f945,f792,f1105]) ).
fof(f6782,plain,
( ~ sQ25_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2416,f130]) ).
fof(f6783,plain,
( ~ sQ25_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f6782]) ).
fof(f6833,plain,
( sQ72_spl
| ~ sQ20_spl
| ~ sQ6_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f3957,f896,f802,f848,f1060]) ).
fof(f6838,plain,
( ~ sQ40_spl
| op(e2,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f914,f117]) ).
fof(f6842,plain,
( sQ74_spl
| ~ sQ75_spl
| ~ sQ40_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f4463,f942,f913,f1070,f1067]) ).
fof(f6871,plain,
( sQ80_spl
| ~ sQ60_spl
| ~ sQ81_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f3027,f841,f1091,f978,f1088]) ).
fof(f6872,plain,
( sQ80_spl
| ~ sQ60_spl
| ~ sQ13_spl
| e2 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f826,f2922]) ).
fof(f6873,plain,
( sQ80_spl
| ~ sQ60_spl
| ~ sQ13_spl
| ~ sQ18_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f842,f6872]) ).
fof(f6874,plain,
( sQ80_spl
| ~ sQ60_spl
| ~ sQ13_spl
| ~ sQ18_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6873]) ).
fof(f6875,plain,
( sQ80_spl
| ~ sQ60_spl
| ~ sQ13_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f6874]) ).
fof(f6894,plain,
( sQ83_spl
| ~ sQ2_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f4286,f896,f789,f1098]) ).
fof(f6943,plain,
( sQ88_spl
| ~ sQ62_spl
| ~ sQ45_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f6334,f861,f929,f984,f1117]) ).
fof(f7053,plain,
( sQ70_spl
| ~ sQ20_spl
| ~ sQ7_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f6246,f945,f805,f848,f1053]) ).
fof(f7056,plain,
( sQ70_spl
| ~ sQ20_spl
| ~ sQ71_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f4814,f945,f1056,f848,f1053]) ).
fof(f7066,plain,
( sQ78_spl
| ~ sQ60_spl
| ~ sQ14_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f5298,f890,f828,f978,f1081]) ).
fof(f7067,plain,
( sQ77_spl
| ~ sQ40_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f3594,f812,f913,f1077]) ).
fof(f7073,plain,
( sQ78_spl
| ~ sQ79_spl
| ~ sQ60_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f5392,f890,f978,f1084,f1081]) ).
fof(f7153,plain,
( sQ68_spl
| ~ sQ61_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f5911,f961,f981,f1042]) ).
fof(f7163,plain,
( sQ80_spl
| ~ sQ61_spl
| ~ sQ89_spl
| e2 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f4248,f5482]) ).
fof(f7225,plain,
( sQ67_spl
| ~ sQ56_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f6008,f945,f965,f1038]) ).
fof(f7281,plain,
( sQ66_spl
| ~ sQ55_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f1856,f981,f961,f1034]) ).
fof(f7288,plain,
( ~ sQ95_spl
| ~ sQ33_spl
| op(e2,e1) = e0 ),
inference(forward_demodulation,[status(thm)],[f891,f1153]) ).
fof(f7313,plain,
( ~ sQ6_spl
| e2 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f803,f84]) ).
fof(f7357,plain,
( sQ102_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f6585,f851,f1186]) ).
fof(f7475,plain,
( ~ sQ6_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f7313,f854,f802]) ).
fof(f7476,plain,
( sQ82_spl
| ~ sQ1_spl
| ~ sQ19_spl
| e2 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f845,f4313]) ).
fof(f7494,plain,
( ~ sQ71_spl
| ~ sQ20_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f4644,f805,f848,f1056]) ).
fof(f7531,plain,
( ~ sQ62_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f2371,f971,f984]) ).
fof(f7532,plain,
( ~ sQ62_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f6735,f932,f984]) ).
fof(f7564,plain,
( ~ sQ48_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f4604,f783,f939]) ).
fof(f7587,plain,
( ~ sQ11_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1824,f792,f818]) ).
fof(f7609,plain,
( ~ sQ66_spl
| ~ sQ55_spl
| op(e3,e3) = e1 ),
inference(forward_demodulation,[status(thm)],[f962,f1035]) ).
fof(f7610,plain,
( ~ sQ66_spl
| ~ sQ55_spl
| ~ sQ62_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f985,f7609]) ).
fof(f7611,plain,
( ~ sQ66_spl
| ~ sQ55_spl
| ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7610,f129]) ).
fof(f7612,plain,
( ~ sQ66_spl
| ~ sQ55_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f7611]) ).
fof(f7621,plain,
( ~ sQ95_spl
| ~ sQ33_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f7288,f900,f890,f1152]) ).
fof(f7646,plain,
( ~ sQ95_spl
| ~ sQ33_spl
| op(e2,e1) = e0 ),
inference(forward_demodulation,[status(thm)],[f891,f1153]) ).
fof(f7647,plain,
( ~ sQ95_spl
| ~ sQ33_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7646,f6838]) ).
fof(f7648,plain,
( ~ sQ95_spl
| ~ sQ33_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f7647]) ).
fof(f7655,plain,
( sQ80_spl
| ~ sQ61_spl
| ~ sQ89_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f7163,f802,f1121,f981,f1088]) ).
fof(f7657,plain,
( sQ80_spl
| ~ sQ61_spl
| ~ sQ28_spl
| e2 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f875,f5482]) ).
fof(f7658,plain,
( sQ80_spl
| ~ sQ61_spl
| ~ sQ28_spl
| ~ sQ6_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f803,f7657]) ).
fof(f7659,plain,
( sQ80_spl
| ~ sQ61_spl
| ~ sQ28_spl
| ~ sQ6_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7658]) ).
fof(f7660,plain,
( sQ80_spl
| ~ sQ61_spl
| ~ sQ28_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f7659]) ).
fof(f7848,plain,
( sQ106_spl
| ~ sQ0_spl
| op(e0,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f784,f1211]) ).
fof(f7849,plain,
( sQ106_spl
| ~ sQ0_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f784,f7848]) ).
fof(f7850,plain,
( sQ106_spl
| ~ sQ0_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7849]) ).
fof(f7851,plain,
( sQ106_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f7850]) ).
fof(f7855,plain,
( sQ82_spl
| ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f7476,f958,f844,f786,f1095]) ).
fof(f7864,plain,
( sQ88_spl
| ~ sQ61_spl
| ~ sQ79_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f5913,f900,f1084,f981,f1117]) ).
fof(f7880,plain,
$false,
inference(sat_refutation,[status(thm)],[f795,f808,f821,f834,f847,f860,f873,f886,f899,f912,f925,f938,f951,f964,f977,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f1004,f1005,f1006,f1007,f1008,f1009,f1010,f1011,f1012,f1013,f1014,f1015,f1016,f1017,f1018,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f1033,f1037,f1041,f1045,f1049,f1059,f1066,f1073,f1080,f1087,f1094,f1101,f1112,f1120,f1124,f1128,f1132,f1136,f1141,f1143,f1145,f1147,f1148,f1155,f1159,f1163,f1167,f1168,f1169,f1173,f1177,f1185,f1189,f1193,f1197,f1198,f1203,f1205,f1207,f1212,f1216,f1220,f1224,f1229,f1231,f1232,f1233,f1238,f1239,f1240,f1241,f1242,f1247,f1248,f1249,f1251,f1256,f1257,f1258,f1259,f1260,f1265,f1266,f1267,f1268,f1269,f1274,f1275,f1276,f1277,f1278,f1283,f1284,f1285,f1286,f1287,f1292,f1293,f1294,f1296,f1301,f1302,f1303,f1304,f1305,f1310,f1311,f1312,f1313,f1314,f1319,f1320,f1321,f1322,f1323,f1328,f1329,f1330,f1331,f1332,f1337,f1338,f1339,f1341,f1346,f1347,f1348,f1350,f1351,f1355,f1356,f1357,f1358,f1359,f1364,f1365,f1366,f1367,f1368,f1369,f1373,f1374,f1375,f1376,f1377,f1378,f1382,f1384,f1385,f1386,f1391,f1395,f1396,f1400,f1402,f1403,f1404,f1409,f1411,f1412,f1413,f1418,f1419,f1420,f1421,f1422,f1423,f1427,f1428,f1429,f1430,f1431,f1436,f1437,f1438,f1440,f1445,f1446,f1447,f1448,f1449,f1450,f1454,f1455,f1456,f1457,f1458,f1463,f1464,f1466,f1467,f1472,f1473,f1474,f1475,f1476,f1481,f1482,f1483,f1485,f1490,f1491,f1492,f1494,f1495,f1499,f1500,f1501,f1502,f1503,f1504,f1508,f1509,f1510,f1511,f1512,f1517,f1518,f1519,f1520,f1521,f1526,f1527,f1528,f1529,f1530,f1535,f1536,f1537,f1539,f1544,f1545,f1546,f1548,f1553,f1554,f1555,f1556,f1557,f1562,f1566,f1571,f1575,f1580,f1584,f1585,f1589,f1591,f1592,f1593,f1598,f1599,f1600,f1601,f1602,f1607,f1608,f1609,f1610,f1611,f1612,f1616,f1617,f1618,f1619,f1620,f1625,f1626,f1627,f1629,f1634,f1635,f1636,f1638,f1639,f1643,f1644,f1645,f1646,f1647,f1648,f1652,f1653,f1654,f1655,f1656,f1657,f1661,f1662,f1664,f1665,f1670,f1671,f1672,f1673,f1674,f1679,f1680,f1681,f1683,f1688,f1689,f1690,f1691,f1692,f1693,f1697,f1698,f1699,f1700,f1701,f1706,f1707,f1708,f1709,f1710,f1715,f1716,f1717,f1718,f1719,f1724,f1725,f1726,f1728,f1733,f1735,f1737,f1742,f1746,f1751,f1755,f1760,f1764,f1766,f1770,f1799,f1806,f1812,f1815,f1818,f1835,f1838,f1841,f1844,f1851,f1854,f1869,f1872,f1920,f1932,f1942,f1945,f1967,f1973,f1974,f1991,f2010,f2016,f2035,f2036,f2038,f2052,f2054,f2057,f2076,f2078,f2079,f2089,f2092,f2102,f2105,f2106,f2123,f2125,f2140,f2145,f2148,f2152,f2159,f2200,f2201,f2203,f2216,f2227,f2235,f2251,f2280,f2281,f2297,f2320,f2324,f2326,f2328,f2329,f2336,f2339,f2350,f2356,f2399,f2400,f2414,f2417,f2418,f2421,f2423,f2450,f2453,f2459,f2462,f2465,f2474,f2481,f2482,f2484,f2522,f2524,f2525,f2526,f2527,f2529,f2551,f2553,f2555,f2556,f2594,f2619,f2622,f2633,f2646,f2689,f2748,f2754,f2764,f2767,f2768,f2779,f2809,f2810,f2812,f2825,f2857,f2864,f2865,f2900,f2915,f2923,f2926,f2940,f2967,f2980,f3014,f3015,f3016,f3035,f3037,f3047,f3048,f3050,f3051,f3078,f3088,f3110,f3117,f3121,f3129,f3144,f3166,f3168,f3224,f3229,f3254,f3264,f3282,f3322,f3342,f3343,f3353,f3382,f3475,f3476,f3477,f3479,f3484,f3487,f3506,f3509,f3529,f3571,f3641,f3642,f3643,f3657,f3674,f3716,f3720,f3721,f3742,f3770,f3771,f3784,f3815,f3832,f3836,f3842,f3845,f3857,f3863,f3884,f3903,f3905,f3951,f3966,f3972,f3995,f4004,f4010,f4011,f4067,f4080,f4094,f4137,f4194,f4209,f4220,f4394,f4437,f4601,f4746,f4770,f4795,f4856,f4859,f4867,f4901,f4927,f4964,f4987,f5011,f5016,f5017,f5049,f5083,f5126,f5136,f5147,f5166,f5168,f5191,f5203,f5261,f5285,f5388,f5460,f5471,f5473,f5513,f5548,f5552,f5559,f5566,f5600,f5680,f5691,f5709,f5737,f5871,f5892,f5925,f6106,f6238,f6289,f6343,f6346,f6367,f6380,f6477,f6491,f6587,f6706,f6707,f6718,f6721,f6723,f6742,f6744,f6767,f6783,f6833,f6842,f6871,f6875,f6894,f6943,f7053,f7056,f7066,f7067,f7073,f7153,f7225,f7281,f7357,f7475,f7494,f7531,f7532,f7564,f7587,f7612,f7621,f7648,f7655,f7660,f7851,f7855,f7864]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG143+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n005.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Mon Sep 21 12:57:34 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.53 % Drodi V4.1.1
% 3.72/1.04 % Refutation found
% 3.72/1.04 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.72/1.04 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.72/1.07 % Elapsed time: 0.635419 seconds
% 3.72/1.07 % CPU time: 3.997781 seconds
% 3.72/1.07 % Total memory used: 72.446 MB
% 3.72/1.07 % Net memory used: 71.262 MB
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