%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG162+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 : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 11:48:42 AM UTC 2026
% Result : Unsatisfiable 6.27s 1.46s
% Output : CNFRefutation 6.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 255
% Syntax : Number of formulae : 1880 ( 55 unt; 231 def)
% Number of atoms : 14292 (10650 equ)
% Maximal formula atoms : 292 ( 7 avg)
% Number of connectives : 17352 (4940 ~;5134 |;6980 &)
% ( 298 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 68 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 233 ( 231 usr; 232 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(e2,e2) = e3
| op(e2,e3) != e2 )
& ( op(e1,e1) = e3
| op(e1,e3) != e1 )
& ( op(e0,e0) = e3
| op(e0,e3) != e0 )
& op(e3,e3) = e3 )
| ( ( op(e3,e3) = e2
| op(e3,e2) != e3 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e1) = e2
| op(e1,e2) != e1 )
& ( op(e0,e0) = e2
| op(e0,e2) != e0 )
& op(e2,e2) = e2 )
| ( ( op(e3,e3) = e1
| op(e3,e1) != e3 )
& ( op(e2,e2) = e1
| op(e2,e1) != e2 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e0) = e1
| op(e0,e1) != e0 )
& op(e1,e1) = e1 )
| ( ( op(e3,e3) = e0
| op(e3,e0) != e3 )
& ( op(e2,e2) = e0
| op(e2,e0) != e2 )
& ( op(e1,e1) = e0
| op(e1,e0) != e1 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) )
& ( ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3
& op(e3,e3) = e3 )
| ( op(e2,e3) = e2
& op(e2,e2) = e3
& op(e3,e3) != e3
& op(e3,e3) = e3 )
| ( op(e1,e3) = e1
& op(e1,e1) = e3
& op(e3,e3) != e3
& op(e3,e3) = e3 )
| ( op(e0,e3) = e0
& op(e0,e0) = e3
& op(e3,e3) != e3
& op(e3,e3) = e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e2,e3) = e2
& op(e2,e2) = e3
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e1,e3) = e1
& op(e1,e1) = e3
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e0,e3) = e0
& op(e0,e0) = e3
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e2,e3) = e2
& op(e2,e2) = e3
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e1,e3) = e1
& op(e1,e1) = e3
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e0,e3) = e0
& op(e0,e0) = e3
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e2,e3) = e2
& op(e2,e2) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e1,e3) = e1
& op(e1,e1) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e0,e3) = e0
& op(e0,e0) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = 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(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = 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(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = 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 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
~ ( e3 = op(op(e2,e2),e2)
& e1 = op(e2,e2)
& e0 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
~ ( e1 = op(op(e2,e2),e2)
& e3 = op(e2,e2)
& e0 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
~ ( e2 = op(op(e3,e3),e3)
& e1 = op(e3,e3)
& e0 = op(op(e3,e3),op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
~ ( e1 = op(op(e3,e3),e3)
& e2 = op(e3,e3)
& e0 = op(op(e3,e3),op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
~ ( e2 = op(op(e0,e0),e0)
& e3 = op(e0,e0)
& e1 = op(op(e0,e0),op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
~ ( e3 = op(op(e2,e2),e2)
& e0 = op(e2,e2)
& e1 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
~ ( e0 = op(op(e2,e2),e2)
& e3 = op(e2,e2)
& e1 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
~ ( e2 = op(op(e3,e3),e3)
& e0 = op(e3,e3)
& e1 = op(op(e3,e3),op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
~ ( e3 = op(op(e0,e0),e0)
& e1 = op(e0,e0)
& e2 = op(op(e0,e0),op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
~ ( e1 = op(op(e0,e0),e0)
& e3 = op(e0,e0)
& e2 = op(op(e0,e0),op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
~ ( e3 = op(op(e1,e1),e1)
& e0 = op(e1,e1)
& e2 = op(op(e1,e1),op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
~ ( e0 = op(op(e1,e1),e1)
& e3 = op(e1,e1)
& e2 = op(op(e1,e1),op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
~ ( e1 = op(op(e3,e3),e3)
& e0 = op(e3,e3)
& e2 = op(op(e3,e3),op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
~ ( e0 = op(op(e3,e3),e3)
& e1 = op(e3,e3)
& e2 = op(op(e3,e3),op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
~ ( e2 = op(op(e0,e0),e0)
& e1 = op(e0,e0)
& e3 = op(op(e0,e0),op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
~ ( e1 = op(op(e0,e0),e0)
& e2 = op(e0,e0)
& e3 = op(op(e0,e0),op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
~ ( e2 = op(op(e1,e1),e1)
& e0 = op(e1,e1)
& e3 = op(op(e1,e1),op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
~ ( e1 = op(op(e2,e2),e2)
& e0 = op(e2,e2)
& e3 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
~ ( e0 = op(op(e2,e2),e2)
& e1 = op(e2,e2)
& e3 = op(op(e2,e2),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(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,e3) = e2
& op(e2,e2) = e3
& op(e3,e3) != e3
& op(e3,e3) = e3 )
| ( op(e1,e3) = e1
& op(e1,e1) = e3
& op(e3,e3) != e3
& op(e3,e3) = e3 )
| ( op(e0,e3) = e0
& op(e0,e0) = e3
& op(e3,e3) != e3
& op(e3,e3) = e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e2,e3) = e2
& op(e2,e2) = e3
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e1,e3) = e1
& op(e1,e1) = e3
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e0,e3) = e0
& op(e0,e0) = e3
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e2,e3) = e2
& op(e2,e2) = e3
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e1,e3) = e1
& op(e1,e1) = e3
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e0,e3) = e0
& op(e0,e0) = e3
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e2,e3) = e2
& op(e2,e2) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e1,e3) = e1
& op(e1,e1) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e0,e3) = e0
& op(e0,e0) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = 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(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = 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(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = 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,[sP0_prd])],[]) ).
fof(f133,definition,
( sP1_prd
<=> ( ( ( op(e3,e3) = e2
| op(e3,e2) != e3 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e1) = e2
| op(e1,e2) != e1 )
& ( op(e0,e0) = e2
| op(e0,e2) != e0 )
& op(e2,e2) = e2 )
| ( ( op(e3,e3) = e1
| op(e3,e1) != e3 )
& ( op(e2,e2) = e1
| op(e2,e1) != e2 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e0) = e1
| op(e0,e1) != e0 )
& op(e1,e1) = e1 )
| ( ( op(e3,e3) = e0
| op(e3,e0) != e3 )
& ( op(e2,e2) = e0
| op(e2,e0) != e2 )
& ( op(e1,e1) = e0
| op(e1,e0) != e1 )
& ( 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(e2,e2) = e3
| op(e2,e3) != e2 )
& ( op(e1,e1) = e3
| op(e1,e3) != e1 )
& ( op(e0,e0) = e3
| op(e0,e3) != e0 )
& op(e3,e3) = e3 )
| sP1_prd )
& ( ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3
& op(e3,e3) = e3 )
| sP0_prd ) ),
inference(formula_renaming,[status(thm)],[f5,f133,f132]) ).
fof(f135,plain,
( op(e3,e3) = e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f136,plain,
( op(e3,e3) != e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f139,plain,
( op(e3,e3) = e3
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f140,plain,
( op(e0,e0) = e3
| op(e0,e3) != e0
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f141,plain,
( op(e1,e1) = e3
| op(e1,e3) != e1
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f142,plain,
( op(e2,e2) = e3
| op(e2,e3) != e2
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f148,plain,
( e3 != op(op(e2,e2),e2)
| e1 != op(e2,e2)
| e0 != op(op(e2,e2),op(e2,e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f149,plain,
( e3 != op(op(e2,e2),e2)
| e1 != op(e2,e2)
| e0 != op(op(e2,e2),op(e2,e2)) ),
inference(cnf_transformation,[status(thm)],[f148]) ).
fof(f150,plain,
( e1 != op(op(e2,e2),e2)
| e3 != op(e2,e2)
| e0 != op(op(e2,e2),op(e2,e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f151,plain,
( e1 != op(op(e2,e2),e2)
| e3 != op(e2,e2)
| e0 != op(op(e2,e2),op(e2,e2)) ),
inference(cnf_transformation,[status(thm)],[f150]) ).
fof(f152,plain,
( e2 != op(op(e3,e3),e3)
| e1 != op(e3,e3)
| e0 != op(op(e3,e3),op(e3,e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f153,plain,
( e2 != op(op(e3,e3),e3)
| e1 != op(e3,e3)
| e0 != op(op(e3,e3),op(e3,e3)) ),
inference(cnf_transformation,[status(thm)],[f152]) ).
fof(f154,plain,
( e1 != op(op(e3,e3),e3)
| e2 != op(e3,e3)
| e0 != op(op(e3,e3),op(e3,e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f11]) ).
fof(f155,plain,
( e1 != op(op(e3,e3),e3)
| e2 != op(e3,e3)
| e0 != op(op(e3,e3),op(e3,e3)) ),
inference(cnf_transformation,[status(thm)],[f154]) ).
fof(f158,plain,
( e2 != op(op(e0,e0),e0)
| e3 != op(e0,e0)
| e1 != op(op(e0,e0),op(e0,e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f159,plain,
( e2 != op(op(e0,e0),e0)
| e3 != op(e0,e0)
| e1 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[status(thm)],[f158]) ).
fof(f160,plain,
( e3 != op(op(e2,e2),e2)
| e0 != op(e2,e2)
| e1 != op(op(e2,e2),op(e2,e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f14]) ).
fof(f161,plain,
( e3 != op(op(e2,e2),e2)
| e0 != op(e2,e2)
| e1 != op(op(e2,e2),op(e2,e2)) ),
inference(cnf_transformation,[status(thm)],[f160]) ).
fof(f162,plain,
( e0 != op(op(e2,e2),e2)
| e3 != op(e2,e2)
| e1 != op(op(e2,e2),op(e2,e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f163,plain,
( e0 != op(op(e2,e2),e2)
| e3 != op(e2,e2)
| e1 != op(op(e2,e2),op(e2,e2)) ),
inference(cnf_transformation,[status(thm)],[f162]) ).
fof(f164,plain,
( e2 != op(op(e3,e3),e3)
| e0 != op(e3,e3)
| e1 != op(op(e3,e3),op(e3,e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f16]) ).
fof(f165,plain,
( e2 != op(op(e3,e3),e3)
| e0 != op(e3,e3)
| e1 != op(op(e3,e3),op(e3,e3)) ),
inference(cnf_transformation,[status(thm)],[f164]) ).
fof(f168,plain,
( e3 != op(op(e0,e0),e0)
| e1 != op(e0,e0)
| e2 != op(op(e0,e0),op(e0,e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f169,plain,
( e3 != op(op(e0,e0),e0)
| e1 != op(e0,e0)
| e2 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[status(thm)],[f168]) ).
fof(f170,plain,
( e1 != op(op(e0,e0),e0)
| e3 != op(e0,e0)
| e2 != op(op(e0,e0),op(e0,e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f19]) ).
fof(f171,plain,
( e1 != op(op(e0,e0),e0)
| e3 != op(e0,e0)
| e2 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[status(thm)],[f170]) ).
fof(f172,plain,
( e3 != op(op(e1,e1),e1)
| e0 != op(e1,e1)
| e2 != op(op(e1,e1),op(e1,e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f20]) ).
fof(f173,plain,
( e3 != op(op(e1,e1),e1)
| e0 != op(e1,e1)
| e2 != op(op(e1,e1),op(e1,e1)) ),
inference(cnf_transformation,[status(thm)],[f172]) ).
fof(f174,plain,
( e0 != op(op(e1,e1),e1)
| e3 != op(e1,e1)
| e2 != op(op(e1,e1),op(e1,e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f21]) ).
fof(f175,plain,
( e0 != op(op(e1,e1),e1)
| e3 != op(e1,e1)
| e2 != op(op(e1,e1),op(e1,e1)) ),
inference(cnf_transformation,[status(thm)],[f174]) ).
fof(f176,plain,
( e1 != op(op(e3,e3),e3)
| e0 != op(e3,e3)
| e2 != op(op(e3,e3),op(e3,e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f22]) ).
fof(f177,plain,
( e1 != op(op(e3,e3),e3)
| e0 != op(e3,e3)
| e2 != op(op(e3,e3),op(e3,e3)) ),
inference(cnf_transformation,[status(thm)],[f176]) ).
fof(f178,plain,
( e0 != op(op(e3,e3),e3)
| e1 != op(e3,e3)
| e2 != op(op(e3,e3),op(e3,e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f23]) ).
fof(f179,plain,
( e0 != op(op(e3,e3),e3)
| e1 != op(e3,e3)
| e2 != op(op(e3,e3),op(e3,e3)) ),
inference(cnf_transformation,[status(thm)],[f178]) ).
fof(f180,plain,
( e2 != op(op(e0,e0),e0)
| e1 != op(e0,e0)
| e3 != op(op(e0,e0),op(e0,e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f24]) ).
fof(f181,plain,
( e2 != op(op(e0,e0),e0)
| e1 != op(e0,e0)
| e3 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[status(thm)],[f180]) ).
fof(f182,plain,
( e1 != op(op(e0,e0),e0)
| e2 != op(e0,e0)
| e3 != op(op(e0,e0),op(e0,e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f25]) ).
fof(f183,plain,
( e1 != op(op(e0,e0),e0)
| e2 != op(e0,e0)
| e3 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[status(thm)],[f182]) ).
fof(f184,plain,
( e2 != op(op(e1,e1),e1)
| e0 != op(e1,e1)
| e3 != op(op(e1,e1),op(e1,e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f26]) ).
fof(f185,plain,
( e2 != op(op(e1,e1),e1)
| e0 != op(e1,e1)
| e3 != op(op(e1,e1),op(e1,e1)) ),
inference(cnf_transformation,[status(thm)],[f184]) ).
fof(f188,plain,
( e1 != op(op(e2,e2),e2)
| e0 != op(e2,e2)
| e3 != op(op(e2,e2),op(e2,e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f28]) ).
fof(f189,plain,
( e1 != op(op(e2,e2),e2)
| e0 != op(e2,e2)
| e3 != op(op(e2,e2),op(e2,e2)) ),
inference(cnf_transformation,[status(thm)],[f188]) ).
fof(f190,plain,
( e0 != op(op(e2,e2),e2)
| e1 != op(e2,e2)
| e3 != op(op(e2,e2),op(e2,e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f29]) ).
fof(f191,plain,
( e0 != op(op(e2,e2),e2)
| e1 != op(e2,e2)
| e3 != op(op(e2,e2),op(e2,e2)) ),
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f192,definition,
( sP2_prd
<=> ( ( op(e1,e3) = e1
& op(e1,e1) = e3
& op(e3,e3) != e3
& op(e3,e3) = e3 )
| ( op(e0,e3) = e0
& op(e0,e0) = e3
& op(e3,e3) != e3
& op(e3,e3) = e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e2,e3) = e2
& op(e2,e2) = e3
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e1,e3) = e1
& op(e1,e1) = e3
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e0,e3) = e0
& op(e0,e0) = e3
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e2,e3) = e2
& op(e2,e2) = e3
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e1,e3) = e1
& op(e1,e1) = e3
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e0,e3) = e0
& op(e0,e0) = e3
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e2,e3) = e2
& op(e2,e2) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e1,e3) = e1
& op(e1,e1) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e0,e3) = e0
& op(e0,e0) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = 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(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = 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(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = 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,[sP2_prd])],[]) ).
fof(f193,plain,
( sP0_prd
<=> ( ( op(e2,e3) = e2
& op(e2,e2) = e3
& op(e3,e3) != e3
& op(e3,e3) = e3 )
| sP2_prd ) ),
inference(formula_renaming,[status(thm)],[f132,f192]) ).
fof(f194,plain,
( ( ( ( op(e2,e3) != e2
| op(e2,e2) != e3
| op(e3,e3) = e3
| op(e3,e3) != e3 )
& ~ sP2_prd )
| sP0_prd )
& ( ( op(e2,e3) = e2
& op(e2,e2) = e3
& op(e3,e3) != e3
& op(e3,e3) = e3 )
| sP2_prd
| ~ sP0_prd ) ),
inference(NNF_transformation,[status(thm)],[f193]) ).
fof(f195,plain,
( op(e3,e3) = e3
| sP2_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f196,plain,
( op(e3,e3) != e3
| sP2_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f199,plain,
( ~ sP2_prd
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f201,definition,
( sP3_prd
<=> ( ( ( op(e3,e3) = e1
| op(e3,e1) != e3 )
& ( op(e2,e2) = e1
| op(e2,e1) != e2 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e0) = e1
| op(e0,e1) != e0 )
& op(e1,e1) = e1 )
| ( ( op(e3,e3) = e0
| op(e3,e0) != e3 )
& ( op(e2,e2) = e0
| op(e2,e0) != e2 )
& ( op(e1,e1) = e0
| op(e1,e0) != e1 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f202,plain,
( sP1_prd
<=> ( ( ( op(e3,e3) = e2
| op(e3,e2) != e3 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e1) = e2
| op(e1,e2) != e1 )
& ( op(e0,e0) = e2
| op(e0,e2) != e0 )
& op(e2,e2) = e2 )
| sP3_prd ) ),
inference(formula_renaming,[status(thm)],[f133,f201]) ).
fof(f203,definition,
( sP4_prd
<=> ( op(e0,e0) = e2
| op(e0,e2) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f204,definition,
( sP5_prd
<=> ( op(e1,e1) = e2
| op(e1,e2) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f205,plain,
( sP1_prd
<=> ( ( ( op(e3,e3) = e2
| op(e3,e2) != e3 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& sP5_prd
& sP4_prd
& op(e2,e2) = e2 )
| sP3_prd ) ),
inference(formula_renaming,[status(thm)],[f202,f204,f203]) ).
fof(f206,plain,
( ( ( ( ( op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2 )
| ~ sP5_prd
| ~ sP4_prd
| op(e2,e2) != e2 )
& ~ sP3_prd )
| sP1_prd )
& ( ( ( op(e3,e3) = e2
| op(e3,e2) != e3 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& sP5_prd
& sP4_prd
& op(e2,e2) = e2 )
| sP3_prd
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f205]) ).
fof(f207,plain,
( op(e2,e2) = e2
| sP3_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f206]) ).
fof(f208,plain,
( sP4_prd
| sP3_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f206]) ).
fof(f209,plain,
( sP5_prd
| sP3_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f206]) ).
fof(f211,plain,
( op(e3,e3) = e2
| op(e3,e2) != e3
| sP3_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f206]) ).
fof(f215,plain,
( op(e3,e2) = e3
| op(e2,e2) != e2
| ~ sP5_prd
| ~ sP4_prd
| op(e2,e2) != e2
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f206]) ).
fof(f217,definition,
( sP6_prd
<=> ( ( op(e0,e3) = e0
& op(e0,e0) = e3
& op(e3,e3) != e3
& op(e3,e3) = e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e2,e3) = e2
& op(e2,e2) = e3
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e1,e3) = e1
& op(e1,e1) = e3
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e0,e3) = e0
& op(e0,e0) = e3
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e2,e3) = e2
& op(e2,e2) = e3
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e1,e3) = e1
& op(e1,e1) = e3
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e0,e3) = e0
& op(e0,e0) = e3
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e2,e3) = e2
& op(e2,e2) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e1,e3) = e1
& op(e1,e1) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e0,e3) = e0
& op(e0,e0) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = 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(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = 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(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = 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(f218,plain,
( sP2_prd
<=> ( ( op(e1,e3) = e1
& op(e1,e1) = e3
& op(e3,e3) != e3
& op(e3,e3) = e3 )
| sP6_prd ) ),
inference(formula_renaming,[status(thm)],[f192,f217]) ).
fof(f219,plain,
( ( ( ( op(e1,e3) != e1
| op(e1,e1) != e3
| op(e3,e3) = e3
| op(e3,e3) != e3 )
& ~ sP6_prd )
| sP2_prd )
& ( ( op(e1,e3) = e1
& op(e1,e1) = e3
& op(e3,e3) != e3
& op(e3,e3) = e3 )
| sP6_prd
| ~ sP2_prd ) ),
inference(NNF_transformation,[status(thm)],[f218]) ).
fof(f220,plain,
( op(e3,e3) = e3
| sP6_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f219]) ).
fof(f221,plain,
( op(e3,e3) != e3
| sP6_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f219]) ).
fof(f224,plain,
( ~ sP6_prd
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f219]) ).
fof(f226,definition,
( sP7_prd
<=> ( ( op(e3,e3) = e0
| op(e3,e0) != e3 )
& ( op(e2,e2) = e0
| op(e2,e0) != e2 )
& ( op(e1,e1) = e0
| op(e1,e0) != e1 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ),
introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).
fof(f227,plain,
( sP3_prd
<=> ( ( ( op(e3,e3) = e1
| op(e3,e1) != e3 )
& ( op(e2,e2) = e1
| op(e2,e1) != e2 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e0) = e1
| op(e0,e1) != e0 )
& op(e1,e1) = e1 )
| sP7_prd ) ),
inference(formula_renaming,[status(thm)],[f201,f226]) ).
fof(f228,definition,
( sP8_prd
<=> ( op(e0,e0) = e1
| op(e0,e1) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP8_prd])],[]) ).
fof(f229,definition,
( sP9_prd
<=> ( op(e1,e1) = e1
| op(e1,e1) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP9_prd])],[]) ).
fof(f230,plain,
( sP3_prd
<=> ( ( ( op(e3,e3) = e1
| op(e3,e1) != e3 )
& ( op(e2,e2) = e1
| op(e2,e1) != e2 )
& sP9_prd
& sP8_prd
& op(e1,e1) = e1 )
| sP7_prd ) ),
inference(formula_renaming,[status(thm)],[f227,f229,f228]) ).
fof(f231,plain,
( ( ( ( ( op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e2,e2) != e1
& op(e2,e1) = e2 )
| ~ sP9_prd
| ~ sP8_prd
| op(e1,e1) != e1 )
& ~ sP7_prd )
| sP3_prd )
& ( ( ( op(e3,e3) = e1
| op(e3,e1) != e3 )
& ( op(e2,e2) = e1
| op(e2,e1) != e2 )
& sP9_prd
& sP8_prd
& op(e1,e1) = e1 )
| sP7_prd
| ~ sP3_prd ) ),
inference(NNF_transformation,[status(thm)],[f230]) ).
fof(f232,plain,
( op(e1,e1) = e1
| sP7_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f231]) ).
fof(f233,plain,
( sP8_prd
| sP7_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f231]) ).
fof(f235,plain,
( op(e2,e2) = e1
| op(e2,e1) != e2
| sP7_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f231]) ).
fof(f236,plain,
( op(e3,e3) = e1
| op(e3,e1) != e3
| sP7_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f231]) ).
fof(f237,plain,
( ~ sP7_prd
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f231]) ).
fof(f242,plain,
( ( ( op(e0,e0) != e2
& op(e0,e2) = e0 )
| sP4_prd )
& ( op(e0,e0) = e2
| op(e0,e2) != e0
| ~ sP4_prd ) ),
inference(NNF_transformation,[status(thm)],[f203]) ).
fof(f243,plain,
( op(e0,e0) = e2
| op(e0,e2) != e0
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f242]) ).
fof(f244,plain,
( op(e0,e2) = e0
| sP4_prd ),
inference(cnf_transformation,[status(thm)],[f242]) ).
fof(f245,plain,
( op(e0,e0) != e2
| sP4_prd ),
inference(cnf_transformation,[status(thm)],[f242]) ).
fof(f246,plain,
( ( ( op(e1,e1) != e2
& op(e1,e2) = e1 )
| sP5_prd )
& ( op(e1,e1) = e2
| op(e1,e2) != e1
| ~ sP5_prd ) ),
inference(NNF_transformation,[status(thm)],[f204]) ).
fof(f247,plain,
( op(e1,e1) = e2
| op(e1,e2) != e1
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f246]) ).
fof(f248,plain,
( op(e1,e2) = e1
| sP5_prd ),
inference(cnf_transformation,[status(thm)],[f246]) ).
fof(f249,plain,
( op(e1,e1) != e2
| sP5_prd ),
inference(cnf_transformation,[status(thm)],[f246]) ).
fof(f250,definition,
( sP10_prd
<=> ( ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e2,e3) = e2
& op(e2,e2) = e3
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e1,e3) = e1
& op(e1,e1) = e3
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e0,e3) = e0
& op(e0,e0) = e3
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e2,e3) = e2
& op(e2,e2) = e3
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e1,e3) = e1
& op(e1,e1) = e3
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e0,e3) = e0
& op(e0,e0) = e3
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e2,e3) = e2
& op(e2,e2) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e1,e3) = e1
& op(e1,e1) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e0,e3) = e0
& op(e0,e0) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = 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(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = 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(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = 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(f251,plain,
( sP6_prd
<=> ( ( op(e0,e3) = e0
& op(e0,e0) = e3
& op(e3,e3) != e3
& op(e3,e3) = e3 )
| sP10_prd ) ),
inference(formula_renaming,[status(thm)],[f217,f250]) ).
fof(f252,plain,
( ( ( ( op(e0,e3) != e0
| op(e0,e0) != e3
| op(e3,e3) = e3
| op(e3,e3) != e3 )
& ~ sP10_prd )
| sP6_prd )
& ( ( op(e0,e3) = e0
& op(e0,e0) = e3
& op(e3,e3) != e3
& op(e3,e3) = e3 )
| sP10_prd
| ~ sP6_prd ) ),
inference(NNF_transformation,[status(thm)],[f251]) ).
fof(f253,plain,
( op(e3,e3) = e3
| sP10_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f254,plain,
( op(e3,e3) != e3
| sP10_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f255,plain,
( op(e0,e0) = e3
| sP10_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f257,plain,
( ~ sP10_prd
| sP6_prd ),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f259,definition,
( sP11_prd
<=> ( op(e0,e0) = e0
| op(e0,e0) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP11_prd])],[]) ).
fof(f260,definition,
( sP12_prd
<=> ( op(e1,e1) = e0
| op(e1,e0) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP12_prd])],[]) ).
fof(f261,plain,
( sP7_prd
<=> ( ( op(e3,e3) = e0
| op(e3,e0) != e3 )
& ( op(e2,e2) = e0
| op(e2,e0) != e2 )
& sP12_prd
& sP11_prd
& op(e0,e0) = e0 ) ),
inference(formula_renaming,[status(thm)],[f226,f260,f259]) ).
fof(f262,plain,
( ( ( op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e2,e2) != e0
& op(e2,e0) = e2 )
| ~ sP12_prd
| ~ sP11_prd
| op(e0,e0) != e0
| sP7_prd )
& ( ( ( op(e3,e3) = e0
| op(e3,e0) != e3 )
& ( op(e2,e2) = e0
| op(e2,e0) != e2 )
& sP12_prd
& sP11_prd
& op(e0,e0) = e0 )
| ~ sP7_prd ) ),
inference(NNF_transformation,[status(thm)],[f261]) ).
fof(f263,plain,
( op(e0,e0) = e0
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f262]) ).
fof(f265,plain,
( sP12_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f262]) ).
fof(f266,plain,
( op(e2,e2) = e0
| op(e2,e0) != e2
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f262]) ).
fof(f267,plain,
( op(e3,e3) = e0
| op(e3,e0) != e3
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f262]) ).
fof(f268,plain,
( op(e3,e0) = e3
| op(e2,e0) = e2
| ~ sP12_prd
| ~ sP11_prd
| op(e0,e0) != e0
| sP7_prd ),
inference(cnf_transformation,[status(thm)],[f262]) ).
fof(f269,plain,
( op(e3,e3) != e0
| op(e2,e0) = e2
| ~ sP12_prd
| ~ sP11_prd
| op(e0,e0) != e0
| sP7_prd ),
inference(cnf_transformation,[status(thm)],[f262]) ).
fof(f272,plain,
( ( ( op(e0,e0) != e1
& op(e0,e1) = e0 )
| sP8_prd )
& ( op(e0,e0) = e1
| op(e0,e1) != e0
| ~ sP8_prd ) ),
inference(NNF_transformation,[status(thm)],[f228]) ).
fof(f273,plain,
( op(e0,e0) = e1
| op(e0,e1) != e0
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f272]) ).
fof(f274,plain,
( op(e0,e1) = e0
| sP8_prd ),
inference(cnf_transformation,[status(thm)],[f272]) ).
fof(f275,plain,
( op(e0,e0) != e1
| sP8_prd ),
inference(cnf_transformation,[status(thm)],[f272]) ).
fof(f276,plain,
( ( ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| sP9_prd )
& ( op(e1,e1) = e1
| op(e1,e1) != e1
| ~ sP9_prd ) ),
inference(NNF_transformation,[status(thm)],[f229]) ).
fof(f278,plain,
( op(e1,e1) = e1
| sP9_prd ),
inference(cnf_transformation,[status(thm)],[f276]) ).
fof(f279,plain,
( op(e1,e1) != e1
| sP9_prd ),
inference(cnf_transformation,[status(thm)],[f276]) ).
fof(f280,definition,
( sP13_prd
<=> ( ( op(e2,e3) = e2
& op(e2,e2) = e3
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e1,e3) = e1
& op(e1,e1) = e3
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e0,e3) = e0
& op(e0,e0) = e3
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e2,e3) = e2
& op(e2,e2) = e3
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e1,e3) = e1
& op(e1,e1) = e3
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e0,e3) = e0
& op(e0,e0) = e3
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e2,e3) = e2
& op(e2,e2) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e1,e3) = e1
& op(e1,e1) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e0,e3) = e0
& op(e0,e0) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = 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(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = 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(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = 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(f281,plain,
( sP10_prd
<=> ( ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| sP13_prd ) ),
inference(formula_renaming,[status(thm)],[f250,f280]) ).
fof(f282,plain,
( ( ( ( op(e3,e3) != e3
| op(e3,e3) != e3
| op(e3,e3) = e2
| op(e3,e2) != e3 )
& ~ sP13_prd )
| sP10_prd )
& ( ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| sP13_prd
| ~ sP10_prd ) ),
inference(NNF_transformation,[status(thm)],[f281]) ).
fof(f283,plain,
( op(e3,e2) = e3
| sP13_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f282]) ).
fof(f284,plain,
( op(e3,e3) != e2
| sP13_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f282]) ).
fof(f285,plain,
( op(e3,e3) = e3
| sP13_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f282]) ).
fof(f287,plain,
( ~ sP13_prd
| sP10_prd ),
inference(cnf_transformation,[status(thm)],[f282]) ).
fof(f289,plain,
( ( ( op(e0,e0) != e0
& op(e0,e0) = e0 )
| sP11_prd )
& ( op(e0,e0) = e0
| op(e0,e0) != e0
| ~ sP11_prd ) ),
inference(NNF_transformation,[status(thm)],[f259]) ).
fof(f291,plain,
( op(e0,e0) = e0
| sP11_prd ),
inference(cnf_transformation,[status(thm)],[f289]) ).
fof(f292,plain,
( op(e0,e0) != e0
| sP11_prd ),
inference(cnf_transformation,[status(thm)],[f289]) ).
fof(f293,plain,
( ( ( op(e1,e1) != e0
& op(e1,e0) = e1 )
| sP12_prd )
& ( op(e1,e1) = e0
| op(e1,e0) != e1
| ~ sP12_prd ) ),
inference(NNF_transformation,[status(thm)],[f260]) ).
fof(f294,plain,
( op(e1,e1) = e0
| op(e1,e0) != e1
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f293]) ).
fof(f295,plain,
( op(e1,e0) = e1
| sP12_prd ),
inference(cnf_transformation,[status(thm)],[f293]) ).
fof(f296,plain,
( op(e1,e1) != e0
| sP12_prd ),
inference(cnf_transformation,[status(thm)],[f293]) ).
fof(f297,definition,
( sP14_prd
<=> ( ( op(e1,e3) = e1
& op(e1,e1) = e3
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e0,e3) = e0
& op(e0,e0) = e3
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e2,e3) = e2
& op(e2,e2) = e3
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e1,e3) = e1
& op(e1,e1) = e3
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e0,e3) = e0
& op(e0,e0) = e3
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e2,e3) = e2
& op(e2,e2) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e1,e3) = e1
& op(e1,e1) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e0,e3) = e0
& op(e0,e0) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = 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(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = 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(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = 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(f298,plain,
( sP13_prd
<=> ( ( op(e2,e3) = e2
& op(e2,e2) = e3
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| sP14_prd ) ),
inference(formula_renaming,[status(thm)],[f280,f297]) ).
fof(f299,plain,
( ( ( ( op(e2,e3) != e2
| op(e2,e2) != e3
| op(e3,e3) = e2
| op(e3,e2) != e3 )
& ~ sP14_prd )
| sP13_prd )
& ( ( op(e2,e3) = e2
& op(e2,e2) = e3
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| sP14_prd
| ~ sP13_prd ) ),
inference(NNF_transformation,[status(thm)],[f298]) ).
fof(f300,plain,
( op(e3,e2) = e3
| sP14_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f299]) ).
fof(f301,plain,
( op(e3,e3) != e2
| sP14_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f299]) ).
fof(f302,plain,
( op(e2,e2) = e3
| sP14_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f299]) ).
fof(f304,plain,
( ~ sP14_prd
| sP13_prd ),
inference(cnf_transformation,[status(thm)],[f299]) ).
fof(f306,definition,
( sP15_prd
<=> ( ( op(e0,e3) = e0
& op(e0,e0) = e3
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e2,e3) = e2
& op(e2,e2) = e3
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e1,e3) = e1
& op(e1,e1) = e3
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e0,e3) = e0
& op(e0,e0) = e3
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e2,e3) = e2
& op(e2,e2) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e1,e3) = e1
& op(e1,e1) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e0,e3) = e0
& op(e0,e0) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = 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(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = 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(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = 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(f307,plain,
( sP14_prd
<=> ( ( op(e1,e3) = e1
& op(e1,e1) = e3
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| sP15_prd ) ),
inference(formula_renaming,[status(thm)],[f297,f306]) ).
fof(f308,plain,
( ( ( ( op(e1,e3) != e1
| op(e1,e1) != e3
| op(e3,e3) = e2
| op(e3,e2) != e3 )
& ~ sP15_prd )
| sP14_prd )
& ( ( op(e1,e3) = e1
& op(e1,e1) = e3
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| sP15_prd
| ~ sP14_prd ) ),
inference(NNF_transformation,[status(thm)],[f307]) ).
fof(f309,plain,
( op(e3,e2) = e3
| sP15_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f308]) ).
fof(f310,plain,
( op(e3,e3) != e2
| sP15_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f308]) ).
fof(f311,plain,
( op(e1,e1) = e3
| sP15_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f308]) ).
fof(f312,plain,
( op(e1,e3) = e1
| sP15_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f308]) ).
fof(f313,plain,
( ~ sP15_prd
| sP14_prd ),
inference(cnf_transformation,[status(thm)],[f308]) ).
fof(f315,definition,
( sP16_prd
<=> ( ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e2,e3) = e2
& op(e2,e2) = e3
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e1,e3) = e1
& op(e1,e1) = e3
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e0,e3) = e0
& op(e0,e0) = e3
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e2,e3) = e2
& op(e2,e2) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e1,e3) = e1
& op(e1,e1) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e0,e3) = e0
& op(e0,e0) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = 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(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = 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(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = 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(f316,plain,
( sP15_prd
<=> ( ( op(e0,e3) = e0
& op(e0,e0) = e3
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| sP16_prd ) ),
inference(formula_renaming,[status(thm)],[f306,f315]) ).
fof(f317,plain,
( ( ( ( op(e0,e3) != e0
| op(e0,e0) != e3
| op(e3,e3) = e2
| op(e3,e2) != e3 )
& ~ sP16_prd )
| sP15_prd )
& ( ( op(e0,e3) = e0
& op(e0,e0) = e3
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| sP16_prd
| ~ sP15_prd ) ),
inference(NNF_transformation,[status(thm)],[f316]) ).
fof(f318,plain,
( op(e3,e2) = e3
| sP16_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f317]) ).
fof(f319,plain,
( op(e3,e3) != e2
| sP16_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f317]) ).
fof(f320,plain,
( op(e0,e0) = e3
| sP16_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f317]) ).
fof(f321,plain,
( op(e0,e3) = e0
| sP16_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f317]) ).
fof(f322,plain,
( ~ sP16_prd
| sP15_prd ),
inference(cnf_transformation,[status(thm)],[f317]) ).
fof(f324,definition,
( sP17_prd
<=> ( ( op(e2,e3) = e2
& op(e2,e2) = e3
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e1,e3) = e1
& op(e1,e1) = e3
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e0,e3) = e0
& op(e0,e0) = e3
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e2,e3) = e2
& op(e2,e2) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e1,e3) = e1
& op(e1,e1) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e0,e3) = e0
& op(e0,e0) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = 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(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = 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(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = 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(f325,plain,
( sP16_prd
<=> ( ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| sP17_prd ) ),
inference(formula_renaming,[status(thm)],[f315,f324]) ).
fof(f326,plain,
( ( ( ( op(e3,e3) != e3
| op(e3,e3) != e3
| op(e3,e3) = e1
| op(e3,e1) != e3 )
& ~ sP17_prd )
| sP16_prd )
& ( ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| sP17_prd
| ~ sP16_prd ) ),
inference(NNF_transformation,[status(thm)],[f325]) ).
fof(f327,plain,
( op(e3,e1) = e3
| sP17_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f326]) ).
fof(f329,plain,
( op(e3,e3) = e3
| sP17_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f326]) ).
fof(f331,plain,
( ~ sP17_prd
| sP16_prd ),
inference(cnf_transformation,[status(thm)],[f326]) ).
fof(f333,definition,
( sP18_prd
<=> ( ( op(e1,e3) = e1
& op(e1,e1) = e3
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e0,e3) = e0
& op(e0,e0) = e3
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e2,e3) = e2
& op(e2,e2) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e1,e3) = e1
& op(e1,e1) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e0,e3) = e0
& op(e0,e0) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = 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(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = 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(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = 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(f334,plain,
( sP17_prd
<=> ( ( op(e2,e3) = e2
& op(e2,e2) = e3
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| sP18_prd ) ),
inference(formula_renaming,[status(thm)],[f324,f333]) ).
fof(f335,plain,
( ( ( ( op(e2,e3) != e2
| op(e2,e2) != e3
| op(e3,e3) = e1
| op(e3,e1) != e3 )
& ~ sP18_prd )
| sP17_prd )
& ( ( op(e2,e3) = e2
& op(e2,e2) = e3
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| sP18_prd
| ~ sP17_prd ) ),
inference(NNF_transformation,[status(thm)],[f334]) ).
fof(f336,plain,
( op(e3,e1) = e3
| sP18_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f335]) ).
fof(f337,plain,
( op(e3,e3) != e1
| sP18_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f335]) ).
fof(f338,plain,
( op(e2,e2) = e3
| sP18_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f335]) ).
fof(f339,plain,
( op(e2,e3) = e2
| sP18_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f335]) ).
fof(f340,plain,
( ~ sP18_prd
| sP17_prd ),
inference(cnf_transformation,[status(thm)],[f335]) ).
fof(f342,definition,
( sP19_prd
<=> ( ( op(e0,e3) = e0
& op(e0,e0) = e3
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e2,e3) = e2
& op(e2,e2) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e1,e3) = e1
& op(e1,e1) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e0,e3) = e0
& op(e0,e0) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = 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(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = 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(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = 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(f343,plain,
( sP18_prd
<=> ( ( op(e1,e3) = e1
& op(e1,e1) = e3
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| sP19_prd ) ),
inference(formula_renaming,[status(thm)],[f333,f342]) ).
fof(f344,plain,
( ( ( ( op(e1,e3) != e1
| op(e1,e1) != e3
| op(e3,e3) = e1
| op(e3,e1) != e3 )
& ~ sP19_prd )
| sP18_prd )
& ( ( op(e1,e3) = e1
& op(e1,e1) = e3
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| sP19_prd
| ~ sP18_prd ) ),
inference(NNF_transformation,[status(thm)],[f343]) ).
fof(f345,plain,
( op(e3,e1) = e3
| sP19_prd
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f344]) ).
fof(f347,plain,
( op(e1,e1) = e3
| sP19_prd
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f344]) ).
fof(f348,plain,
( op(e1,e3) = e1
| sP19_prd
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f344]) ).
fof(f349,plain,
( ~ sP19_prd
| sP18_prd ),
inference(cnf_transformation,[status(thm)],[f344]) ).
fof(f351,definition,
( sP20_prd
<=> ( ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e2,e3) = e2
& op(e2,e2) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e1,e3) = e1
& op(e1,e1) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e0,e3) = e0
& op(e0,e0) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = 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(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = 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(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = 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(f352,plain,
( sP19_prd
<=> ( ( op(e0,e3) = e0
& op(e0,e0) = e3
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| sP20_prd ) ),
inference(formula_renaming,[status(thm)],[f342,f351]) ).
fof(f353,plain,
( ( ( ( op(e0,e3) != e0
| op(e0,e0) != e3
| op(e3,e3) = e1
| op(e3,e1) != e3 )
& ~ sP20_prd )
| sP19_prd )
& ( ( op(e0,e3) = e0
& op(e0,e0) = e3
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| sP20_prd
| ~ sP19_prd ) ),
inference(NNF_transformation,[status(thm)],[f352]) ).
fof(f354,plain,
( op(e3,e1) = e3
| sP20_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f353]) ).
fof(f355,plain,
( op(e3,e3) != e1
| sP20_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f353]) ).
fof(f356,plain,
( op(e0,e0) = e3
| sP20_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f353]) ).
fof(f357,plain,
( op(e0,e3) = e0
| sP20_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f353]) ).
fof(f358,plain,
( ~ sP20_prd
| sP19_prd ),
inference(cnf_transformation,[status(thm)],[f353]) ).
fof(f360,definition,
( sP21_prd
<=> ( ( op(e2,e3) = e2
& op(e2,e2) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e1,e3) = e1
& op(e1,e1) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e0,e3) = e0
& op(e0,e0) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = 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(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = 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(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = 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(f361,plain,
( sP20_prd
<=> ( ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| sP21_prd ) ),
inference(formula_renaming,[status(thm)],[f351,f360]) ).
fof(f362,plain,
( ( ( ( op(e3,e3) != e3
| op(e3,e3) != e3
| op(e3,e3) = e0
| op(e3,e0) != e3 )
& ~ sP21_prd )
| sP20_prd )
& ( ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| sP21_prd
| ~ sP20_prd ) ),
inference(NNF_transformation,[status(thm)],[f361]) ).
fof(f363,plain,
( op(e3,e0) = e3
| sP21_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f362]) ).
fof(f365,plain,
( op(e3,e3) = e3
| sP21_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f362]) ).
fof(f367,plain,
( ~ sP21_prd
| sP20_prd ),
inference(cnf_transformation,[status(thm)],[f362]) ).
fof(f369,definition,
( sP22_prd
<=> ( ( op(e1,e3) = e1
& op(e1,e1) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e0,e3) = e0
& op(e0,e0) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = 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(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = 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(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = 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(f370,plain,
( sP21_prd
<=> ( ( op(e2,e3) = e2
& op(e2,e2) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| sP22_prd ) ),
inference(formula_renaming,[status(thm)],[f360,f369]) ).
fof(f371,plain,
( ( ( ( op(e2,e3) != e2
| op(e2,e2) != e3
| op(e3,e3) = e0
| op(e3,e0) != e3 )
& ~ sP22_prd )
| sP21_prd )
& ( ( op(e2,e3) = e2
& op(e2,e2) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| sP22_prd
| ~ sP21_prd ) ),
inference(NNF_transformation,[status(thm)],[f370]) ).
fof(f372,plain,
( op(e3,e0) = e3
| sP22_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f373,plain,
( op(e3,e3) != e0
| sP22_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f374,plain,
( op(e2,e2) = e3
| sP22_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f375,plain,
( op(e2,e3) = e2
| sP22_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f376,plain,
( ~ sP22_prd
| sP21_prd ),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f378,definition,
( sP23_prd
<=> ( ( op(e0,e3) = e0
& op(e0,e0) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = 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(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = 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(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = 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(f379,plain,
( sP22_prd
<=> ( ( op(e1,e3) = e1
& op(e1,e1) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| sP23_prd ) ),
inference(formula_renaming,[status(thm)],[f369,f378]) ).
fof(f380,plain,
( ( ( ( op(e1,e3) != e1
| op(e1,e1) != e3
| op(e3,e3) = e0
| op(e3,e0) != e3 )
& ~ sP23_prd )
| sP22_prd )
& ( ( op(e1,e3) = e1
& op(e1,e1) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| sP23_prd
| ~ sP22_prd ) ),
inference(NNF_transformation,[status(thm)],[f379]) ).
fof(f381,plain,
( op(e3,e0) = e3
| sP23_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f380]) ).
fof(f382,plain,
( op(e3,e3) != e0
| sP23_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f380]) ).
fof(f383,plain,
( op(e1,e1) = e3
| sP23_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f380]) ).
fof(f384,plain,
( op(e1,e3) = e1
| sP23_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f380]) ).
fof(f385,plain,
( ~ sP23_prd
| sP22_prd ),
inference(cnf_transformation,[status(thm)],[f380]) ).
fof(f387,definition,
( sP24_prd
<=> ( ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = 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(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = 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(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = 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(f388,plain,
( sP23_prd
<=> ( ( op(e0,e3) = e0
& op(e0,e0) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| sP24_prd ) ),
inference(formula_renaming,[status(thm)],[f378,f387]) ).
fof(f389,plain,
( ( ( ( op(e0,e3) != e0
| op(e0,e0) != e3
| op(e3,e3) = e0
| op(e3,e0) != e3 )
& ~ sP24_prd )
| sP23_prd )
& ( ( op(e0,e3) = e0
& op(e0,e0) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| sP24_prd
| ~ sP23_prd ) ),
inference(NNF_transformation,[status(thm)],[f388]) ).
fof(f390,plain,
( op(e3,e0) = e3
| sP24_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f389]) ).
fof(f392,plain,
( op(e0,e0) = e3
| sP24_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f389]) ).
fof(f394,plain,
( ~ sP24_prd
| sP23_prd ),
inference(cnf_transformation,[status(thm)],[f389]) ).
fof(f396,definition,
( sP25_prd
<=> ( ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = 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(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = 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(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = 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(f397,plain,
( sP24_prd
<=> ( ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| sP25_prd ) ),
inference(formula_renaming,[status(thm)],[f387,f396]) ).
fof(f398,plain,
( ( ( ( op(e3,e2) != e3
| op(e3,e3) != e2
| op(e2,e2) = e3
| op(e2,e3) != e2 )
& ~ sP25_prd )
| sP24_prd )
& ( ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| sP25_prd
| ~ sP24_prd ) ),
inference(NNF_transformation,[status(thm)],[f397]) ).
fof(f399,plain,
( op(e2,e3) = e2
| sP25_prd
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f398]) ).
fof(f401,plain,
( op(e3,e3) = e2
| sP25_prd
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f398]) ).
fof(f403,plain,
( ~ sP25_prd
| sP24_prd ),
inference(cnf_transformation,[status(thm)],[f398]) ).
fof(f405,definition,
( sP26_prd
<=> ( ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = 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(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = 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(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = 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(f406,plain,
( sP25_prd
<=> ( ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| sP26_prd ) ),
inference(formula_renaming,[status(thm)],[f396,f405]) ).
fof(f407,plain,
( ( ( ( op(e2,e2) != e2
| op(e2,e2) != e2
| op(e2,e2) = e3
| op(e2,e3) != e2 )
& ~ sP26_prd )
| sP25_prd )
& ( ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| sP26_prd
| ~ sP25_prd ) ),
inference(NNF_transformation,[status(thm)],[f406]) ).
fof(f408,plain,
( op(e2,e3) = e2
| sP26_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f407]) ).
fof(f410,plain,
( op(e2,e2) = e2
| sP26_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f407]) ).
fof(f412,plain,
( ~ sP26_prd
| sP25_prd ),
inference(cnf_transformation,[status(thm)],[f407]) ).
fof(f414,definition,
( sP27_prd
<=> ( ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = 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(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = 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(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = 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(f415,plain,
( sP26_prd
<=> ( ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| sP27_prd ) ),
inference(formula_renaming,[status(thm)],[f405,f414]) ).
fof(f416,plain,
( ( ( ( op(e1,e2) != e1
| op(e1,e1) != e2
| op(e2,e2) = e3
| op(e2,e3) != e2 )
& ~ sP27_prd )
| sP26_prd )
& ( ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| sP27_prd
| ~ sP26_prd ) ),
inference(NNF_transformation,[status(thm)],[f415]) ).
fof(f417,plain,
( op(e2,e3) = e2
| sP27_prd
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f418,plain,
( op(e2,e2) != e3
| sP27_prd
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f419,plain,
( op(e1,e1) = e2
| sP27_prd
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f420,plain,
( op(e1,e2) = e1
| sP27_prd
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f421,plain,
( ~ sP27_prd
| sP26_prd ),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f423,definition,
( sP28_prd
<=> ( ( op(e3,e2) = e3
& op(e3,e3) = 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(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = 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(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = 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(f424,plain,
( sP27_prd
<=> ( ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| sP28_prd ) ),
inference(formula_renaming,[status(thm)],[f414,f423]) ).
fof(f425,plain,
( ( ( ( op(e0,e2) != e0
| op(e0,e0) != e2
| op(e2,e2) = e3
| op(e2,e3) != e2 )
& ~ sP28_prd )
| sP27_prd )
& ( ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| sP28_prd
| ~ sP27_prd ) ),
inference(NNF_transformation,[status(thm)],[f424]) ).
fof(f426,plain,
( op(e2,e3) = e2
| sP28_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f425]) ).
fof(f427,plain,
( op(e2,e2) != e3
| sP28_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f425]) ).
fof(f428,plain,
( op(e0,e0) = e2
| sP28_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f425]) ).
fof(f429,plain,
( op(e0,e2) = e0
| sP28_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f425]) ).
fof(f430,plain,
( ~ sP28_prd
| sP27_prd ),
inference(cnf_transformation,[status(thm)],[f425]) ).
fof(f432,definition,
( sP29_prd
<=> ( ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = 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(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = 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(f433,plain,
( sP28_prd
<=> ( ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| sP29_prd ) ),
inference(formula_renaming,[status(thm)],[f423,f432]) ).
fof(f434,plain,
( ( ( ( op(e3,e2) != e3
| op(e3,e3) != e2
| op(e2,e2) = e2
| op(e2,e2) != e2 )
& ~ sP29_prd )
| sP28_prd )
& ( ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| sP29_prd
| ~ sP28_prd ) ),
inference(NNF_transformation,[status(thm)],[f433]) ).
fof(f435,plain,
( op(e2,e2) = e2
| sP29_prd
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f434]) ).
fof(f436,plain,
( op(e2,e2) != e2
| sP29_prd
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f434]) ).
fof(f437,plain,
( op(e3,e3) = e2
| sP29_prd
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f434]) ).
fof(f439,plain,
( ~ sP29_prd
| sP28_prd ),
inference(cnf_transformation,[status(thm)],[f434]) ).
fof(f441,definition,
( sP30_prd
<=> ( ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = 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(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = 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(f442,plain,
( sP29_prd
<=> ( ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| sP30_prd ) ),
inference(formula_renaming,[status(thm)],[f432,f441]) ).
fof(f443,plain,
( ( ( ( op(e2,e2) != e2
| op(e2,e2) != e2
| op(e2,e2) = e2
| op(e2,e2) != e2 )
& ~ sP30_prd )
| sP29_prd )
& ( ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| sP30_prd
| ~ sP29_prd ) ),
inference(NNF_transformation,[status(thm)],[f442]) ).
fof(f444,plain,
( op(e2,e2) = e2
| sP30_prd
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f443]) ).
fof(f445,plain,
( op(e2,e2) != e2
| sP30_prd
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f443]) ).
fof(f448,plain,
( ~ sP30_prd
| sP29_prd ),
inference(cnf_transformation,[status(thm)],[f443]) ).
fof(f450,definition,
( sP31_prd
<=> ( ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = 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(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = 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(f451,plain,
( sP30_prd
<=> ( ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| sP31_prd ) ),
inference(formula_renaming,[status(thm)],[f441,f450]) ).
fof(f452,plain,
( ( ( ( op(e1,e2) != e1
| op(e1,e1) != e2
| op(e2,e2) = e2
| op(e2,e2) != e2 )
& ~ sP31_prd )
| sP30_prd )
& ( ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| sP31_prd
| ~ sP30_prd ) ),
inference(NNF_transformation,[status(thm)],[f451]) ).
fof(f453,plain,
( op(e2,e2) = e2
| sP31_prd
| ~ sP30_prd ),
inference(cnf_transformation,[status(thm)],[f452]) ).
fof(f454,plain,
( op(e2,e2) != e2
| sP31_prd
| ~ sP30_prd ),
inference(cnf_transformation,[status(thm)],[f452]) ).
fof(f457,plain,
( ~ sP31_prd
| sP30_prd ),
inference(cnf_transformation,[status(thm)],[f452]) ).
fof(f459,definition,
( sP32_prd
<=> ( ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = 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(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = 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(f460,plain,
( sP31_prd
<=> ( ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| sP32_prd ) ),
inference(formula_renaming,[status(thm)],[f450,f459]) ).
fof(f461,plain,
( ( ( ( op(e0,e2) != e0
| op(e0,e0) != e2
| op(e2,e2) = e2
| op(e2,e2) != e2 )
& ~ sP32_prd )
| sP31_prd )
& ( ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| sP32_prd
| ~ sP31_prd ) ),
inference(NNF_transformation,[status(thm)],[f460]) ).
fof(f462,plain,
( op(e2,e2) = e2
| sP32_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f461]) ).
fof(f463,plain,
( op(e2,e2) != e2
| sP32_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f461]) ).
fof(f466,plain,
( ~ sP32_prd
| sP31_prd ),
inference(cnf_transformation,[status(thm)],[f461]) ).
fof(f468,definition,
( sP33_prd
<=> ( ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = 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(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = 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(f469,plain,
( sP32_prd
<=> ( ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| sP33_prd ) ),
inference(formula_renaming,[status(thm)],[f459,f468]) ).
fof(f470,plain,
( ( ( ( op(e3,e2) != e3
| op(e3,e3) != e2
| op(e2,e2) = e1
| op(e2,e1) != e2 )
& ~ sP33_prd )
| sP32_prd )
& ( ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| sP33_prd
| ~ sP32_prd ) ),
inference(NNF_transformation,[status(thm)],[f469]) ).
fof(f471,plain,
( op(e2,e1) = e2
| sP33_prd
| ~ sP32_prd ),
inference(cnf_transformation,[status(thm)],[f470]) ).
fof(f472,plain,
( op(e2,e2) != e1
| sP33_prd
| ~ sP32_prd ),
inference(cnf_transformation,[status(thm)],[f470]) ).
fof(f473,plain,
( op(e3,e3) = e2
| sP33_prd
| ~ sP32_prd ),
inference(cnf_transformation,[status(thm)],[f470]) ).
fof(f475,plain,
( ~ sP33_prd
| sP32_prd ),
inference(cnf_transformation,[status(thm)],[f470]) ).
fof(f477,definition,
( sP34_prd
<=> ( ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = 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(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = 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(f478,plain,
( sP33_prd
<=> ( ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| sP34_prd ) ),
inference(formula_renaming,[status(thm)],[f468,f477]) ).
fof(f479,plain,
( ( ( ( op(e2,e2) != e2
| op(e2,e2) != e2
| op(e2,e2) = e1
| op(e2,e1) != e2 )
& ~ sP34_prd )
| sP33_prd )
& ( ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| sP34_prd
| ~ sP33_prd ) ),
inference(NNF_transformation,[status(thm)],[f478]) ).
fof(f480,plain,
( op(e2,e1) = e2
| sP34_prd
| ~ sP33_prd ),
inference(cnf_transformation,[status(thm)],[f479]) ).
fof(f481,plain,
( op(e2,e2) != e1
| sP34_prd
| ~ sP33_prd ),
inference(cnf_transformation,[status(thm)],[f479]) ).
fof(f482,plain,
( op(e2,e2) = e2
| sP34_prd
| ~ sP33_prd ),
inference(cnf_transformation,[status(thm)],[f479]) ).
fof(f484,plain,
( ~ sP34_prd
| sP33_prd ),
inference(cnf_transformation,[status(thm)],[f479]) ).
fof(f486,definition,
( sP35_prd
<=> ( ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = 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(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = 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(f487,plain,
( sP34_prd
<=> ( ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| sP35_prd ) ),
inference(formula_renaming,[status(thm)],[f477,f486]) ).
fof(f488,plain,
( ( ( ( op(e1,e2) != e1
| op(e1,e1) != e2
| op(e2,e2) = e1
| op(e2,e1) != e2 )
& ~ sP35_prd )
| sP34_prd )
& ( ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| sP35_prd
| ~ sP34_prd ) ),
inference(NNF_transformation,[status(thm)],[f487]) ).
fof(f489,plain,
( op(e2,e1) = e2
| sP35_prd
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f488]) ).
fof(f490,plain,
( op(e2,e2) != e1
| sP35_prd
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f488]) ).
fof(f491,plain,
( op(e1,e1) = e2
| sP35_prd
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f488]) ).
fof(f493,plain,
( ~ sP35_prd
| sP34_prd ),
inference(cnf_transformation,[status(thm)],[f488]) ).
fof(f495,definition,
( sP36_prd
<=> ( ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = 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(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = 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(f496,plain,
( sP35_prd
<=> ( ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| sP36_prd ) ),
inference(formula_renaming,[status(thm)],[f486,f495]) ).
fof(f497,plain,
( ( ( ( op(e0,e2) != e0
| op(e0,e0) != e2
| op(e2,e2) = e1
| op(e2,e1) != e2 )
& ~ sP36_prd )
| sP35_prd )
& ( ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| sP36_prd
| ~ sP35_prd ) ),
inference(NNF_transformation,[status(thm)],[f496]) ).
fof(f498,plain,
( op(e2,e1) = e2
| sP36_prd
| ~ sP35_prd ),
inference(cnf_transformation,[status(thm)],[f497]) ).
fof(f499,plain,
( op(e2,e2) != e1
| sP36_prd
| ~ sP35_prd ),
inference(cnf_transformation,[status(thm)],[f497]) ).
fof(f500,plain,
( op(e0,e0) = e2
| sP36_prd
| ~ sP35_prd ),
inference(cnf_transformation,[status(thm)],[f497]) ).
fof(f501,plain,
( op(e0,e2) = e0
| sP36_prd
| ~ sP35_prd ),
inference(cnf_transformation,[status(thm)],[f497]) ).
fof(f502,plain,
( ~ sP36_prd
| sP35_prd ),
inference(cnf_transformation,[status(thm)],[f497]) ).
fof(f504,definition,
( sP37_prd
<=> ( ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = 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(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = 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(f505,plain,
( sP36_prd
<=> ( ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| sP37_prd ) ),
inference(formula_renaming,[status(thm)],[f495,f504]) ).
fof(f506,plain,
( ( ( ( op(e3,e2) != e3
| op(e3,e3) != e2
| op(e2,e2) = e0
| op(e2,e0) != e2 )
& ~ sP37_prd )
| sP36_prd )
& ( ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| sP37_prd
| ~ sP36_prd ) ),
inference(NNF_transformation,[status(thm)],[f505]) ).
fof(f507,plain,
( op(e2,e0) = e2
| sP37_prd
| ~ sP36_prd ),
inference(cnf_transformation,[status(thm)],[f506]) ).
fof(f508,plain,
( op(e2,e2) != e0
| sP37_prd
| ~ sP36_prd ),
inference(cnf_transformation,[status(thm)],[f506]) ).
fof(f509,plain,
( op(e3,e3) = e2
| sP37_prd
| ~ sP36_prd ),
inference(cnf_transformation,[status(thm)],[f506]) ).
fof(f511,plain,
( ~ sP37_prd
| sP36_prd ),
inference(cnf_transformation,[status(thm)],[f506]) ).
fof(f513,definition,
( sP38_prd
<=> ( ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = 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(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = 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(f514,plain,
( sP37_prd
<=> ( ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| sP38_prd ) ),
inference(formula_renaming,[status(thm)],[f504,f513]) ).
fof(f515,plain,
( ( ( ( op(e2,e2) != e2
| op(e2,e2) != e2
| op(e2,e2) = e0
| op(e2,e0) != e2 )
& ~ sP38_prd )
| sP37_prd )
& ( ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| sP38_prd
| ~ sP37_prd ) ),
inference(NNF_transformation,[status(thm)],[f514]) ).
fof(f516,plain,
( op(e2,e0) = e2
| sP38_prd
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f515]) ).
fof(f517,plain,
( op(e2,e2) != e0
| sP38_prd
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f515]) ).
fof(f518,plain,
( op(e2,e2) = e2
| sP38_prd
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f515]) ).
fof(f520,plain,
( ~ sP38_prd
| sP37_prd ),
inference(cnf_transformation,[status(thm)],[f515]) ).
fof(f522,definition,
( sP39_prd
<=> ( ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = 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(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = 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(f523,plain,
( sP38_prd
<=> ( ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| sP39_prd ) ),
inference(formula_renaming,[status(thm)],[f513,f522]) ).
fof(f524,plain,
( ( ( ( op(e1,e2) != e1
| op(e1,e1) != e2
| op(e2,e2) = e0
| op(e2,e0) != e2 )
& ~ sP39_prd )
| sP38_prd )
& ( ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| sP39_prd
| ~ sP38_prd ) ),
inference(NNF_transformation,[status(thm)],[f523]) ).
fof(f525,plain,
( op(e2,e0) = e2
| sP39_prd
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f524]) ).
fof(f526,plain,
( op(e2,e2) != e0
| sP39_prd
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f524]) ).
fof(f527,plain,
( op(e1,e1) = e2
| sP39_prd
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f524]) ).
fof(f528,plain,
( op(e1,e2) = e1
| sP39_prd
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f524]) ).
fof(f529,plain,
( ~ sP39_prd
| sP38_prd ),
inference(cnf_transformation,[status(thm)],[f524]) ).
fof(f531,definition,
( sP40_prd
<=> ( ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = 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(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = 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(f532,plain,
( sP39_prd
<=> ( ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| sP40_prd ) ),
inference(formula_renaming,[status(thm)],[f522,f531]) ).
fof(f533,plain,
( ( ( ( op(e0,e2) != e0
| op(e0,e0) != e2
| op(e2,e2) = e0
| op(e2,e0) != e2 )
& ~ sP40_prd )
| sP39_prd )
& ( ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| sP40_prd
| ~ sP39_prd ) ),
inference(NNF_transformation,[status(thm)],[f532]) ).
fof(f534,plain,
( op(e2,e0) = e2
| sP40_prd
| ~ sP39_prd ),
inference(cnf_transformation,[status(thm)],[f533]) ).
fof(f535,plain,
( op(e2,e2) != e0
| sP40_prd
| ~ sP39_prd ),
inference(cnf_transformation,[status(thm)],[f533]) ).
fof(f536,plain,
( op(e0,e0) = e2
| sP40_prd
| ~ sP39_prd ),
inference(cnf_transformation,[status(thm)],[f533]) ).
fof(f537,plain,
( op(e0,e2) = e0
| sP40_prd
| ~ sP39_prd ),
inference(cnf_transformation,[status(thm)],[f533]) ).
fof(f538,plain,
( ~ sP40_prd
| sP39_prd ),
inference(cnf_transformation,[status(thm)],[f533]) ).
fof(f540,definition,
( sP41_prd
<=> ( ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = 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(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = 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(f541,plain,
( sP40_prd
<=> ( ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| sP41_prd ) ),
inference(formula_renaming,[status(thm)],[f531,f540]) ).
fof(f542,plain,
( ( ( ( op(e3,e1) != e3
| op(e3,e3) != e1
| op(e1,e1) = e3
| op(e1,e3) != e1 )
& ~ sP41_prd )
| sP40_prd )
& ( ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| sP41_prd
| ~ sP40_prd ) ),
inference(NNF_transformation,[status(thm)],[f541]) ).
fof(f543,plain,
( op(e1,e3) = e1
| sP41_prd
| ~ sP40_prd ),
inference(cnf_transformation,[status(thm)],[f542]) ).
fof(f544,plain,
( op(e1,e1) != e3
| sP41_prd
| ~ sP40_prd ),
inference(cnf_transformation,[status(thm)],[f542]) ).
fof(f545,plain,
( op(e3,e3) = e1
| sP41_prd
| ~ sP40_prd ),
inference(cnf_transformation,[status(thm)],[f542]) ).
fof(f546,plain,
( op(e3,e1) = e3
| sP41_prd
| ~ sP40_prd ),
inference(cnf_transformation,[status(thm)],[f542]) ).
fof(f547,plain,
( ~ sP41_prd
| sP40_prd ),
inference(cnf_transformation,[status(thm)],[f542]) ).
fof(f549,definition,
( sP42_prd
<=> ( ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = 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(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = 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(f550,plain,
( sP41_prd
<=> ( ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| sP42_prd ) ),
inference(formula_renaming,[status(thm)],[f540,f549]) ).
fof(f551,plain,
( ( ( ( op(e2,e1) != e2
| op(e2,e2) != e1
| op(e1,e1) = e3
| op(e1,e3) != e1 )
& ~ sP42_prd )
| sP41_prd )
& ( ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| sP42_prd
| ~ sP41_prd ) ),
inference(NNF_transformation,[status(thm)],[f550]) ).
fof(f552,plain,
( op(e1,e3) = e1
| sP42_prd
| ~ sP41_prd ),
inference(cnf_transformation,[status(thm)],[f551]) ).
fof(f553,plain,
( op(e1,e1) != e3
| sP42_prd
| ~ sP41_prd ),
inference(cnf_transformation,[status(thm)],[f551]) ).
fof(f554,plain,
( op(e2,e2) = e1
| sP42_prd
| ~ sP41_prd ),
inference(cnf_transformation,[status(thm)],[f551]) ).
fof(f555,plain,
( op(e2,e1) = e2
| sP42_prd
| ~ sP41_prd ),
inference(cnf_transformation,[status(thm)],[f551]) ).
fof(f556,plain,
( ~ sP42_prd
| sP41_prd ),
inference(cnf_transformation,[status(thm)],[f551]) ).
fof(f558,definition,
( sP43_prd
<=> ( ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = 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(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = 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(f559,plain,
( sP42_prd
<=> ( ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| sP43_prd ) ),
inference(formula_renaming,[status(thm)],[f549,f558]) ).
fof(f560,plain,
( ( ( ( op(e1,e1) != e1
| op(e1,e1) != e1
| op(e1,e1) = e3
| op(e1,e3) != e1 )
& ~ sP43_prd )
| sP42_prd )
& ( ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| sP43_prd
| ~ sP42_prd ) ),
inference(NNF_transformation,[status(thm)],[f559]) ).
fof(f561,plain,
( op(e1,e3) = e1
| sP43_prd
| ~ sP42_prd ),
inference(cnf_transformation,[status(thm)],[f560]) ).
fof(f562,plain,
( op(e1,e1) != e3
| sP43_prd
| ~ sP42_prd ),
inference(cnf_transformation,[status(thm)],[f560]) ).
fof(f563,plain,
( op(e1,e1) = e1
| sP43_prd
| ~ sP42_prd ),
inference(cnf_transformation,[status(thm)],[f560]) ).
fof(f565,plain,
( ~ sP43_prd
| sP42_prd ),
inference(cnf_transformation,[status(thm)],[f560]) ).
fof(f567,definition,
( sP44_prd
<=> ( ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = 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(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = 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(f568,plain,
( sP43_prd
<=> ( ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| sP44_prd ) ),
inference(formula_renaming,[status(thm)],[f558,f567]) ).
fof(f569,plain,
( ( ( ( op(e0,e1) != e0
| op(e0,e0) != e1
| op(e1,e1) = e3
| op(e1,e3) != e1 )
& ~ sP44_prd )
| sP43_prd )
& ( ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| sP44_prd
| ~ sP43_prd ) ),
inference(NNF_transformation,[status(thm)],[f568]) ).
fof(f570,plain,
( op(e1,e3) = e1
| sP44_prd
| ~ sP43_prd ),
inference(cnf_transformation,[status(thm)],[f569]) ).
fof(f571,plain,
( op(e1,e1) != e3
| sP44_prd
| ~ sP43_prd ),
inference(cnf_transformation,[status(thm)],[f569]) ).
fof(f572,plain,
( op(e0,e0) = e1
| sP44_prd
| ~ sP43_prd ),
inference(cnf_transformation,[status(thm)],[f569]) ).
fof(f573,plain,
( op(e0,e1) = e0
| sP44_prd
| ~ sP43_prd ),
inference(cnf_transformation,[status(thm)],[f569]) ).
fof(f574,plain,
( ~ sP44_prd
| sP43_prd ),
inference(cnf_transformation,[status(thm)],[f569]) ).
fof(f576,definition,
( sP45_prd
<=> ( ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = 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(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = 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(f577,plain,
( sP44_prd
<=> ( ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| sP45_prd ) ),
inference(formula_renaming,[status(thm)],[f567,f576]) ).
fof(f578,plain,
( ( ( ( op(e3,e1) != e3
| op(e3,e3) != e1
| op(e1,e1) = e2
| op(e1,e2) != e1 )
& ~ sP45_prd )
| sP44_prd )
& ( ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| sP45_prd
| ~ sP44_prd ) ),
inference(NNF_transformation,[status(thm)],[f577]) ).
fof(f579,plain,
( op(e1,e2) = e1
| sP45_prd
| ~ sP44_prd ),
inference(cnf_transformation,[status(thm)],[f578]) ).
fof(f580,plain,
( op(e1,e1) != e2
| sP45_prd
| ~ sP44_prd ),
inference(cnf_transformation,[status(thm)],[f578]) ).
fof(f581,plain,
( op(e3,e3) = e1
| sP45_prd
| ~ sP44_prd ),
inference(cnf_transformation,[status(thm)],[f578]) ).
fof(f582,plain,
( op(e3,e1) = e3
| sP45_prd
| ~ sP44_prd ),
inference(cnf_transformation,[status(thm)],[f578]) ).
fof(f583,plain,
( ~ sP45_prd
| sP44_prd ),
inference(cnf_transformation,[status(thm)],[f578]) ).
fof(f585,definition,
( sP46_prd
<=> ( ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = 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(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = 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(f586,plain,
( sP45_prd
<=> ( ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| sP46_prd ) ),
inference(formula_renaming,[status(thm)],[f576,f585]) ).
fof(f587,plain,
( ( ( ( op(e2,e1) != e2
| op(e2,e2) != e1
| op(e1,e1) = e2
| op(e1,e2) != e1 )
& ~ sP46_prd )
| sP45_prd )
& ( ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| sP46_prd
| ~ sP45_prd ) ),
inference(NNF_transformation,[status(thm)],[f586]) ).
fof(f588,plain,
( op(e1,e2) = e1
| sP46_prd
| ~ sP45_prd ),
inference(cnf_transformation,[status(thm)],[f587]) ).
fof(f589,plain,
( op(e1,e1) != e2
| sP46_prd
| ~ sP45_prd ),
inference(cnf_transformation,[status(thm)],[f587]) ).
fof(f590,plain,
( op(e2,e2) = e1
| sP46_prd
| ~ sP45_prd ),
inference(cnf_transformation,[status(thm)],[f587]) ).
fof(f591,plain,
( op(e2,e1) = e2
| sP46_prd
| ~ sP45_prd ),
inference(cnf_transformation,[status(thm)],[f587]) ).
fof(f592,plain,
( ~ sP46_prd
| sP45_prd ),
inference(cnf_transformation,[status(thm)],[f587]) ).
fof(f594,definition,
( sP47_prd
<=> ( ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = 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(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = 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(f595,plain,
( sP46_prd
<=> ( ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| sP47_prd ) ),
inference(formula_renaming,[status(thm)],[f585,f594]) ).
fof(f596,plain,
( ( ( ( op(e1,e1) != e1
| op(e1,e1) != e1
| op(e1,e1) = e2
| op(e1,e2) != e1 )
& ~ sP47_prd )
| sP46_prd )
& ( ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| sP47_prd
| ~ sP46_prd ) ),
inference(NNF_transformation,[status(thm)],[f595]) ).
fof(f597,plain,
( op(e1,e2) = e1
| sP47_prd
| ~ sP46_prd ),
inference(cnf_transformation,[status(thm)],[f596]) ).
fof(f598,plain,
( op(e1,e1) != e2
| sP47_prd
| ~ sP46_prd ),
inference(cnf_transformation,[status(thm)],[f596]) ).
fof(f599,plain,
( op(e1,e1) = e1
| sP47_prd
| ~ sP46_prd ),
inference(cnf_transformation,[status(thm)],[f596]) ).
fof(f601,plain,
( ~ sP47_prd
| sP46_prd ),
inference(cnf_transformation,[status(thm)],[f596]) ).
fof(f603,definition,
( sP48_prd
<=> ( ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = 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(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = 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(f604,plain,
( sP47_prd
<=> ( ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| sP48_prd ) ),
inference(formula_renaming,[status(thm)],[f594,f603]) ).
fof(f605,plain,
( ( ( ( op(e0,e1) != e0
| op(e0,e0) != e1
| op(e1,e1) = e2
| op(e1,e2) != e1 )
& ~ sP48_prd )
| sP47_prd )
& ( ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| sP48_prd
| ~ sP47_prd ) ),
inference(NNF_transformation,[status(thm)],[f604]) ).
fof(f606,plain,
( op(e1,e2) = e1
| sP48_prd
| ~ sP47_prd ),
inference(cnf_transformation,[status(thm)],[f605]) ).
fof(f607,plain,
( op(e1,e1) != e2
| sP48_prd
| ~ sP47_prd ),
inference(cnf_transformation,[status(thm)],[f605]) ).
fof(f608,plain,
( op(e0,e0) = e1
| sP48_prd
| ~ sP47_prd ),
inference(cnf_transformation,[status(thm)],[f605]) ).
fof(f609,plain,
( op(e0,e1) = e0
| sP48_prd
| ~ sP47_prd ),
inference(cnf_transformation,[status(thm)],[f605]) ).
fof(f610,plain,
( ~ sP48_prd
| sP47_prd ),
inference(cnf_transformation,[status(thm)],[f605]) ).
fof(f612,definition,
( sP49_prd
<=> ( ( op(e2,e1) = e2
& op(e2,e2) = 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(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = 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(f613,plain,
( sP48_prd
<=> ( ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| sP49_prd ) ),
inference(formula_renaming,[status(thm)],[f603,f612]) ).
fof(f614,plain,
( ( ( ( op(e3,e1) != e3
| op(e3,e3) != e1
| op(e1,e1) = e1
| op(e1,e1) != e1 )
& ~ sP49_prd )
| sP48_prd )
& ( ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| sP49_prd
| ~ sP48_prd ) ),
inference(NNF_transformation,[status(thm)],[f613]) ).
fof(f615,plain,
( op(e1,e1) = e1
| sP49_prd
| ~ sP48_prd ),
inference(cnf_transformation,[status(thm)],[f614]) ).
fof(f616,plain,
( op(e1,e1) != e1
| sP49_prd
| ~ sP48_prd ),
inference(cnf_transformation,[status(thm)],[f614]) ).
fof(f617,plain,
( op(e3,e3) = e1
| sP49_prd
| ~ sP48_prd ),
inference(cnf_transformation,[status(thm)],[f614]) ).
fof(f618,plain,
( op(e3,e1) = e3
| sP49_prd
| ~ sP48_prd ),
inference(cnf_transformation,[status(thm)],[f614]) ).
fof(f619,plain,
( ~ sP49_prd
| sP48_prd ),
inference(cnf_transformation,[status(thm)],[f614]) ).
fof(f621,definition,
( sP50_prd
<=> ( ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = 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(f622,plain,
( sP49_prd
<=> ( ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| sP50_prd ) ),
inference(formula_renaming,[status(thm)],[f612,f621]) ).
fof(f623,plain,
( ( ( ( op(e2,e1) != e2
| op(e2,e2) != e1
| op(e1,e1) = e1
| op(e1,e1) != e1 )
& ~ sP50_prd )
| sP49_prd )
& ( ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| sP50_prd
| ~ sP49_prd ) ),
inference(NNF_transformation,[status(thm)],[f622]) ).
fof(f624,plain,
( op(e1,e1) = e1
| sP50_prd
| ~ sP49_prd ),
inference(cnf_transformation,[status(thm)],[f623]) ).
fof(f625,plain,
( op(e1,e1) != e1
| sP50_prd
| ~ sP49_prd ),
inference(cnf_transformation,[status(thm)],[f623]) ).
fof(f626,plain,
( op(e2,e2) = e1
| sP50_prd
| ~ sP49_prd ),
inference(cnf_transformation,[status(thm)],[f623]) ).
fof(f628,plain,
( ~ sP50_prd
| sP49_prd ),
inference(cnf_transformation,[status(thm)],[f623]) ).
fof(f630,definition,
( sP51_prd
<=> ( ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = 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(f631,plain,
( sP50_prd
<=> ( ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| sP51_prd ) ),
inference(formula_renaming,[status(thm)],[f621,f630]) ).
fof(f632,plain,
( ( ( ( op(e1,e1) != e1
| op(e1,e1) != e1
| op(e1,e1) = e1
| op(e1,e1) != e1 )
& ~ sP51_prd )
| sP50_prd )
& ( ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| sP51_prd
| ~ sP50_prd ) ),
inference(NNF_transformation,[status(thm)],[f631]) ).
fof(f633,plain,
( op(e1,e1) = e1
| sP51_prd
| ~ sP50_prd ),
inference(cnf_transformation,[status(thm)],[f632]) ).
fof(f634,plain,
( op(e1,e1) != e1
| sP51_prd
| ~ sP50_prd ),
inference(cnf_transformation,[status(thm)],[f632]) ).
fof(f637,plain,
( ~ sP51_prd
| sP50_prd ),
inference(cnf_transformation,[status(thm)],[f632]) ).
fof(f639,definition,
( sP52_prd
<=> ( ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = 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(f640,plain,
( sP51_prd
<=> ( ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| sP52_prd ) ),
inference(formula_renaming,[status(thm)],[f630,f639]) ).
fof(f641,plain,
( ( ( ( op(e0,e1) != e0
| op(e0,e0) != e1
| op(e1,e1) = e1
| op(e1,e1) != e1 )
& ~ sP52_prd )
| sP51_prd )
& ( ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| sP52_prd
| ~ sP51_prd ) ),
inference(NNF_transformation,[status(thm)],[f640]) ).
fof(f642,plain,
( op(e1,e1) = e1
| sP52_prd
| ~ sP51_prd ),
inference(cnf_transformation,[status(thm)],[f641]) ).
fof(f643,plain,
( op(e1,e1) != e1
| sP52_prd
| ~ sP51_prd ),
inference(cnf_transformation,[status(thm)],[f641]) ).
fof(f644,plain,
( op(e0,e0) = e1
| sP52_prd
| ~ sP51_prd ),
inference(cnf_transformation,[status(thm)],[f641]) ).
fof(f645,plain,
( op(e0,e1) = e0
| sP52_prd
| ~ sP51_prd ),
inference(cnf_transformation,[status(thm)],[f641]) ).
fof(f646,plain,
( ~ sP52_prd
| sP51_prd ),
inference(cnf_transformation,[status(thm)],[f641]) ).
fof(f648,definition,
( sP53_prd
<=> ( ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = 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(f649,plain,
( sP52_prd
<=> ( ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| sP53_prd ) ),
inference(formula_renaming,[status(thm)],[f639,f648]) ).
fof(f650,plain,
( ( ( ( op(e3,e1) != e3
| op(e3,e3) != e1
| op(e1,e1) = e0
| op(e1,e0) != e1 )
& ~ sP53_prd )
| sP52_prd )
& ( ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| sP53_prd
| ~ sP52_prd ) ),
inference(NNF_transformation,[status(thm)],[f649]) ).
fof(f651,plain,
( op(e1,e0) = e1
| sP53_prd
| ~ sP52_prd ),
inference(cnf_transformation,[status(thm)],[f650]) ).
fof(f652,plain,
( op(e1,e1) != e0
| sP53_prd
| ~ sP52_prd ),
inference(cnf_transformation,[status(thm)],[f650]) ).
fof(f653,plain,
( op(e3,e3) = e1
| sP53_prd
| ~ sP52_prd ),
inference(cnf_transformation,[status(thm)],[f650]) ).
fof(f654,plain,
( op(e3,e1) = e3
| sP53_prd
| ~ sP52_prd ),
inference(cnf_transformation,[status(thm)],[f650]) ).
fof(f655,plain,
( ~ sP53_prd
| sP52_prd ),
inference(cnf_transformation,[status(thm)],[f650]) ).
fof(f657,definition,
( sP54_prd
<=> ( ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = 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(f658,plain,
( sP53_prd
<=> ( ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| sP54_prd ) ),
inference(formula_renaming,[status(thm)],[f648,f657]) ).
fof(f659,plain,
( ( ( ( op(e2,e1) != e2
| op(e2,e2) != e1
| op(e1,e1) = e0
| op(e1,e0) != e1 )
& ~ sP54_prd )
| sP53_prd )
& ( ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| sP54_prd
| ~ sP53_prd ) ),
inference(NNF_transformation,[status(thm)],[f658]) ).
fof(f660,plain,
( op(e1,e0) = e1
| sP54_prd
| ~ sP53_prd ),
inference(cnf_transformation,[status(thm)],[f659]) ).
fof(f661,plain,
( op(e1,e1) != e0
| sP54_prd
| ~ sP53_prd ),
inference(cnf_transformation,[status(thm)],[f659]) ).
fof(f662,plain,
( op(e2,e2) = e1
| sP54_prd
| ~ sP53_prd ),
inference(cnf_transformation,[status(thm)],[f659]) ).
fof(f663,plain,
( op(e2,e1) = e2
| sP54_prd
| ~ sP53_prd ),
inference(cnf_transformation,[status(thm)],[f659]) ).
fof(f664,plain,
( ~ sP54_prd
| sP53_prd ),
inference(cnf_transformation,[status(thm)],[f659]) ).
fof(f666,definition,
( sP55_prd
<=> ( ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = 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(f667,plain,
( sP54_prd
<=> ( ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| sP55_prd ) ),
inference(formula_renaming,[status(thm)],[f657,f666]) ).
fof(f668,plain,
( ( ( ( op(e1,e1) != e1
| op(e1,e1) != e1
| op(e1,e1) = e0
| op(e1,e0) != e1 )
& ~ sP55_prd )
| sP54_prd )
& ( ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| sP55_prd
| ~ sP54_prd ) ),
inference(NNF_transformation,[status(thm)],[f667]) ).
fof(f669,plain,
( op(e1,e0) = e1
| sP55_prd
| ~ sP54_prd ),
inference(cnf_transformation,[status(thm)],[f668]) ).
fof(f670,plain,
( op(e1,e1) != e0
| sP55_prd
| ~ sP54_prd ),
inference(cnf_transformation,[status(thm)],[f668]) ).
fof(f671,plain,
( op(e1,e1) = e1
| sP55_prd
| ~ sP54_prd ),
inference(cnf_transformation,[status(thm)],[f668]) ).
fof(f673,plain,
( ~ sP55_prd
| sP54_prd ),
inference(cnf_transformation,[status(thm)],[f668]) ).
fof(f675,definition,
( sP56_prd
<=> ( ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = 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(f676,plain,
( sP55_prd
<=> ( ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| sP56_prd ) ),
inference(formula_renaming,[status(thm)],[f666,f675]) ).
fof(f677,plain,
( ( ( ( op(e0,e1) != e0
| op(e0,e0) != e1
| op(e1,e1) = e0
| op(e1,e0) != e1 )
& ~ sP56_prd )
| sP55_prd )
& ( ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| sP56_prd
| ~ sP55_prd ) ),
inference(NNF_transformation,[status(thm)],[f676]) ).
fof(f678,plain,
( op(e1,e0) = e1
| sP56_prd
| ~ sP55_prd ),
inference(cnf_transformation,[status(thm)],[f677]) ).
fof(f679,plain,
( op(e1,e1) != e0
| sP56_prd
| ~ sP55_prd ),
inference(cnf_transformation,[status(thm)],[f677]) ).
fof(f680,plain,
( op(e0,e0) = e1
| sP56_prd
| ~ sP55_prd ),
inference(cnf_transformation,[status(thm)],[f677]) ).
fof(f681,plain,
( op(e0,e1) = e0
| sP56_prd
| ~ sP55_prd ),
inference(cnf_transformation,[status(thm)],[f677]) ).
fof(f682,plain,
( ~ sP56_prd
| sP55_prd ),
inference(cnf_transformation,[status(thm)],[f677]) ).
fof(f684,definition,
( sP57_prd
<=> ( ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = 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(f685,plain,
( sP56_prd
<=> ( ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| sP57_prd ) ),
inference(formula_renaming,[status(thm)],[f675,f684]) ).
fof(f686,plain,
( ( ( ( op(e3,e0) != e3
| op(e3,e3) != e0
| op(e0,e0) = e3
| op(e0,e3) != e0 )
& ~ sP57_prd )
| sP56_prd )
& ( ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| sP57_prd
| ~ sP56_prd ) ),
inference(NNF_transformation,[status(thm)],[f685]) ).
fof(f687,plain,
( op(e0,e3) = e0
| sP57_prd
| ~ sP56_prd ),
inference(cnf_transformation,[status(thm)],[f686]) ).
fof(f688,plain,
( op(e0,e0) != e3
| sP57_prd
| ~ sP56_prd ),
inference(cnf_transformation,[status(thm)],[f686]) ).
fof(f689,plain,
( op(e3,e3) = e0
| sP57_prd
| ~ sP56_prd ),
inference(cnf_transformation,[status(thm)],[f686]) ).
fof(f690,plain,
( op(e3,e0) = e3
| sP57_prd
| ~ sP56_prd ),
inference(cnf_transformation,[status(thm)],[f686]) ).
fof(f691,plain,
( ~ sP57_prd
| sP56_prd ),
inference(cnf_transformation,[status(thm)],[f686]) ).
fof(f693,definition,
( sP58_prd
<=> ( ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = 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(f694,plain,
( sP57_prd
<=> ( ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| sP58_prd ) ),
inference(formula_renaming,[status(thm)],[f684,f693]) ).
fof(f695,plain,
( ( ( ( op(e2,e0) != e2
| op(e2,e2) != e0
| op(e0,e0) = e3
| op(e0,e3) != e0 )
& ~ sP58_prd )
| sP57_prd )
& ( ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| sP58_prd
| ~ sP57_prd ) ),
inference(NNF_transformation,[status(thm)],[f694]) ).
fof(f696,plain,
( op(e0,e3) = e0
| sP58_prd
| ~ sP57_prd ),
inference(cnf_transformation,[status(thm)],[f695]) ).
fof(f697,plain,
( op(e0,e0) != e3
| sP58_prd
| ~ sP57_prd ),
inference(cnf_transformation,[status(thm)],[f695]) ).
fof(f698,plain,
( op(e2,e2) = e0
| sP58_prd
| ~ sP57_prd ),
inference(cnf_transformation,[status(thm)],[f695]) ).
fof(f699,plain,
( op(e2,e0) = e2
| sP58_prd
| ~ sP57_prd ),
inference(cnf_transformation,[status(thm)],[f695]) ).
fof(f700,plain,
( ~ sP58_prd
| sP57_prd ),
inference(cnf_transformation,[status(thm)],[f695]) ).
fof(f701,plain,
( op(e2,e0) != e2
| op(e2,e2) != e0
| op(e0,e0) = e3
| op(e0,e3) != e0
| sP57_prd ),
inference(cnf_transformation,[status(thm)],[f695]) ).
fof(f702,definition,
( sP59_prd
<=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = 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(f703,plain,
( sP58_prd
<=> ( ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| sP59_prd ) ),
inference(formula_renaming,[status(thm)],[f693,f702]) ).
fof(f704,plain,
( ( ( ( op(e1,e0) != e1
| op(e1,e1) != e0
| op(e0,e0) = e3
| op(e0,e3) != e0 )
& ~ sP59_prd )
| sP58_prd )
& ( ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| sP59_prd
| ~ sP58_prd ) ),
inference(NNF_transformation,[status(thm)],[f703]) ).
fof(f705,plain,
( op(e0,e3) = e0
| sP59_prd
| ~ sP58_prd ),
inference(cnf_transformation,[status(thm)],[f704]) ).
fof(f706,plain,
( op(e0,e0) != e3
| sP59_prd
| ~ sP58_prd ),
inference(cnf_transformation,[status(thm)],[f704]) ).
fof(f707,plain,
( op(e1,e1) = e0
| sP59_prd
| ~ sP58_prd ),
inference(cnf_transformation,[status(thm)],[f704]) ).
fof(f708,plain,
( op(e1,e0) = e1
| sP59_prd
| ~ sP58_prd ),
inference(cnf_transformation,[status(thm)],[f704]) ).
fof(f709,plain,
( ~ sP59_prd
| sP58_prd ),
inference(cnf_transformation,[status(thm)],[f704]) ).
fof(f710,plain,
( op(e1,e0) != e1
| op(e1,e1) != e0
| op(e0,e0) = e3
| op(e0,e3) != e0
| sP58_prd ),
inference(cnf_transformation,[status(thm)],[f704]) ).
fof(f711,definition,
( sP60_prd
<=> ( ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = 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(f712,plain,
( sP59_prd
<=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| sP60_prd ) ),
inference(formula_renaming,[status(thm)],[f702,f711]) ).
fof(f713,plain,
( ( ( ( op(e0,e0) != e0
| op(e0,e0) != e0
| op(e0,e0) = e3
| op(e0,e3) != e0 )
& ~ sP60_prd )
| sP59_prd )
& ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| sP60_prd
| ~ sP59_prd ) ),
inference(NNF_transformation,[status(thm)],[f712]) ).
fof(f714,plain,
( op(e0,e3) = e0
| sP60_prd
| ~ sP59_prd ),
inference(cnf_transformation,[status(thm)],[f713]) ).
fof(f715,plain,
( op(e0,e0) != e3
| sP60_prd
| ~ sP59_prd ),
inference(cnf_transformation,[status(thm)],[f713]) ).
fof(f716,plain,
( op(e0,e0) = e0
| sP60_prd
| ~ sP59_prd ),
inference(cnf_transformation,[status(thm)],[f713]) ).
fof(f718,plain,
( ~ sP60_prd
| sP59_prd ),
inference(cnf_transformation,[status(thm)],[f713]) ).
fof(f720,definition,
( sP61_prd
<=> ( ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = 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(f721,plain,
( sP60_prd
<=> ( ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| sP61_prd ) ),
inference(formula_renaming,[status(thm)],[f711,f720]) ).
fof(f722,plain,
( ( ( ( op(e3,e0) != e3
| op(e3,e3) != e0
| op(e0,e0) = e2
| op(e0,e2) != e0 )
& ~ sP61_prd )
| sP60_prd )
& ( ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| sP61_prd
| ~ sP60_prd ) ),
inference(NNF_transformation,[status(thm)],[f721]) ).
fof(f723,plain,
( op(e0,e2) = e0
| sP61_prd
| ~ sP60_prd ),
inference(cnf_transformation,[status(thm)],[f722]) ).
fof(f724,plain,
( op(e0,e0) != e2
| sP61_prd
| ~ sP60_prd ),
inference(cnf_transformation,[status(thm)],[f722]) ).
fof(f725,plain,
( op(e3,e3) = e0
| sP61_prd
| ~ sP60_prd ),
inference(cnf_transformation,[status(thm)],[f722]) ).
fof(f726,plain,
( op(e3,e0) = e3
| sP61_prd
| ~ sP60_prd ),
inference(cnf_transformation,[status(thm)],[f722]) ).
fof(f727,plain,
( ~ sP61_prd
| sP60_prd ),
inference(cnf_transformation,[status(thm)],[f722]) ).
fof(f729,definition,
( sP62_prd
<=> ( ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = 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(f730,plain,
( sP61_prd
<=> ( ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| sP62_prd ) ),
inference(formula_renaming,[status(thm)],[f720,f729]) ).
fof(f731,plain,
( ( ( ( op(e2,e0) != e2
| op(e2,e2) != e0
| op(e0,e0) = e2
| op(e0,e2) != e0 )
& ~ sP62_prd )
| sP61_prd )
& ( ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| sP62_prd
| ~ sP61_prd ) ),
inference(NNF_transformation,[status(thm)],[f730]) ).
fof(f732,plain,
( op(e0,e2) = e0
| sP62_prd
| ~ sP61_prd ),
inference(cnf_transformation,[status(thm)],[f731]) ).
fof(f733,plain,
( op(e0,e0) != e2
| sP62_prd
| ~ sP61_prd ),
inference(cnf_transformation,[status(thm)],[f731]) ).
fof(f734,plain,
( op(e2,e2) = e0
| sP62_prd
| ~ sP61_prd ),
inference(cnf_transformation,[status(thm)],[f731]) ).
fof(f735,plain,
( op(e2,e0) = e2
| sP62_prd
| ~ sP61_prd ),
inference(cnf_transformation,[status(thm)],[f731]) ).
fof(f736,plain,
( ~ sP62_prd
| sP61_prd ),
inference(cnf_transformation,[status(thm)],[f731]) ).
fof(f738,definition,
( sP63_prd
<=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = 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(f739,plain,
( sP62_prd
<=> ( ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| sP63_prd ) ),
inference(formula_renaming,[status(thm)],[f729,f738]) ).
fof(f740,plain,
( ( ( ( op(e1,e0) != e1
| op(e1,e1) != e0
| op(e0,e0) = e2
| op(e0,e2) != e0 )
& ~ sP63_prd )
| sP62_prd )
& ( ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| sP63_prd
| ~ sP62_prd ) ),
inference(NNF_transformation,[status(thm)],[f739]) ).
fof(f741,plain,
( op(e0,e2) = e0
| sP63_prd
| ~ sP62_prd ),
inference(cnf_transformation,[status(thm)],[f740]) ).
fof(f742,plain,
( op(e0,e0) != e2
| sP63_prd
| ~ sP62_prd ),
inference(cnf_transformation,[status(thm)],[f740]) ).
fof(f743,plain,
( op(e1,e1) = e0
| sP63_prd
| ~ sP62_prd ),
inference(cnf_transformation,[status(thm)],[f740]) ).
fof(f744,plain,
( op(e1,e0) = e1
| sP63_prd
| ~ sP62_prd ),
inference(cnf_transformation,[status(thm)],[f740]) ).
fof(f745,plain,
( ~ sP63_prd
| sP62_prd ),
inference(cnf_transformation,[status(thm)],[f740]) ).
fof(f747,definition,
( sP64_prd
<=> ( ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = 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(f748,plain,
( sP63_prd
<=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| sP64_prd ) ),
inference(formula_renaming,[status(thm)],[f738,f747]) ).
fof(f749,plain,
( ( ( ( op(e0,e0) != e0
| op(e0,e0) != e0
| op(e0,e0) = e2
| op(e0,e2) != e0 )
& ~ sP64_prd )
| sP63_prd )
& ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| sP64_prd
| ~ sP63_prd ) ),
inference(NNF_transformation,[status(thm)],[f748]) ).
fof(f750,plain,
( op(e0,e2) = e0
| sP64_prd
| ~ sP63_prd ),
inference(cnf_transformation,[status(thm)],[f749]) ).
fof(f751,plain,
( op(e0,e0) != e2
| sP64_prd
| ~ sP63_prd ),
inference(cnf_transformation,[status(thm)],[f749]) ).
fof(f752,plain,
( op(e0,e0) = e0
| sP64_prd
| ~ sP63_prd ),
inference(cnf_transformation,[status(thm)],[f749]) ).
fof(f754,plain,
( ~ sP64_prd
| sP63_prd ),
inference(cnf_transformation,[status(thm)],[f749]) ).
fof(f756,definition,
( sP65_prd
<=> ( ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = 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,[sP65_prd])],[]) ).
fof(f757,plain,
( sP64_prd
<=> ( ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| sP65_prd ) ),
inference(formula_renaming,[status(thm)],[f747,f756]) ).
fof(f758,plain,
( ( ( ( op(e3,e0) != e3
| op(e3,e3) != e0
| op(e0,e0) = e1
| op(e0,e1) != e0 )
& ~ sP65_prd )
| sP64_prd )
& ( ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| sP65_prd
| ~ sP64_prd ) ),
inference(NNF_transformation,[status(thm)],[f757]) ).
fof(f759,plain,
( op(e0,e1) = e0
| sP65_prd
| ~ sP64_prd ),
inference(cnf_transformation,[status(thm)],[f758]) ).
fof(f760,plain,
( op(e0,e0) != e1
| sP65_prd
| ~ sP64_prd ),
inference(cnf_transformation,[status(thm)],[f758]) ).
fof(f761,plain,
( op(e3,e3) = e0
| sP65_prd
| ~ sP64_prd ),
inference(cnf_transformation,[status(thm)],[f758]) ).
fof(f762,plain,
( op(e3,e0) = e3
| sP65_prd
| ~ sP64_prd ),
inference(cnf_transformation,[status(thm)],[f758]) ).
fof(f763,plain,
( ~ sP65_prd
| sP64_prd ),
inference(cnf_transformation,[status(thm)],[f758]) ).
fof(f765,definition,
( sP66_prd
<=> ( ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = 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,[sP66_prd])],[]) ).
fof(f766,plain,
( sP65_prd
<=> ( ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| sP66_prd ) ),
inference(formula_renaming,[status(thm)],[f756,f765]) ).
fof(f767,plain,
( ( ( ( op(e2,e0) != e2
| op(e2,e2) != e0
| op(e0,e0) = e1
| op(e0,e1) != e0 )
& ~ sP66_prd )
| sP65_prd )
& ( ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| sP66_prd
| ~ sP65_prd ) ),
inference(NNF_transformation,[status(thm)],[f766]) ).
fof(f768,plain,
( op(e0,e1) = e0
| sP66_prd
| ~ sP65_prd ),
inference(cnf_transformation,[status(thm)],[f767]) ).
fof(f769,plain,
( op(e0,e0) != e1
| sP66_prd
| ~ sP65_prd ),
inference(cnf_transformation,[status(thm)],[f767]) ).
fof(f770,plain,
( op(e2,e2) = e0
| sP66_prd
| ~ sP65_prd ),
inference(cnf_transformation,[status(thm)],[f767]) ).
fof(f771,plain,
( op(e2,e0) = e2
| sP66_prd
| ~ sP65_prd ),
inference(cnf_transformation,[status(thm)],[f767]) ).
fof(f772,plain,
( ~ sP66_prd
| sP65_prd ),
inference(cnf_transformation,[status(thm)],[f767]) ).
fof(f773,plain,
( op(e2,e0) != e2
| op(e2,e2) != e0
| op(e0,e0) = e1
| op(e0,e1) != e0
| sP65_prd ),
inference(cnf_transformation,[status(thm)],[f767]) ).
fof(f774,definition,
( sP67_prd
<=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = 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,[sP67_prd])],[]) ).
fof(f775,plain,
( sP66_prd
<=> ( ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| sP67_prd ) ),
inference(formula_renaming,[status(thm)],[f765,f774]) ).
fof(f776,plain,
( ( ( ( op(e1,e0) != e1
| op(e1,e1) != e0
| op(e0,e0) = e1
| op(e0,e1) != e0 )
& ~ sP67_prd )
| sP66_prd )
& ( ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| sP67_prd
| ~ sP66_prd ) ),
inference(NNF_transformation,[status(thm)],[f775]) ).
fof(f777,plain,
( op(e0,e1) = e0
| sP67_prd
| ~ sP66_prd ),
inference(cnf_transformation,[status(thm)],[f776]) ).
fof(f778,plain,
( op(e0,e0) != e1
| sP67_prd
| ~ sP66_prd ),
inference(cnf_transformation,[status(thm)],[f776]) ).
fof(f779,plain,
( op(e1,e1) = e0
| sP67_prd
| ~ sP66_prd ),
inference(cnf_transformation,[status(thm)],[f776]) ).
fof(f780,plain,
( op(e1,e0) = e1
| sP67_prd
| ~ sP66_prd ),
inference(cnf_transformation,[status(thm)],[f776]) ).
fof(f781,plain,
( ~ sP67_prd
| sP66_prd ),
inference(cnf_transformation,[status(thm)],[f776]) ).
fof(f783,definition,
( sP68_prd
<=> ( ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = 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,[sP68_prd])],[]) ).
fof(f784,plain,
( sP67_prd
<=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| sP68_prd ) ),
inference(formula_renaming,[status(thm)],[f774,f783]) ).
fof(f785,plain,
( ( ( ( op(e0,e0) != e0
| op(e0,e0) != e0
| op(e0,e0) = e1
| op(e0,e1) != e0 )
& ~ sP68_prd )
| sP67_prd )
& ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| sP68_prd
| ~ sP67_prd ) ),
inference(NNF_transformation,[status(thm)],[f784]) ).
fof(f786,plain,
( op(e0,e1) = e0
| sP68_prd
| ~ sP67_prd ),
inference(cnf_transformation,[status(thm)],[f785]) ).
fof(f787,plain,
( op(e0,e0) != e1
| sP68_prd
| ~ sP67_prd ),
inference(cnf_transformation,[status(thm)],[f785]) ).
fof(f788,plain,
( op(e0,e0) = e0
| sP68_prd
| ~ sP67_prd ),
inference(cnf_transformation,[status(thm)],[f785]) ).
fof(f790,plain,
( ~ sP68_prd
| sP67_prd ),
inference(cnf_transformation,[status(thm)],[f785]) ).
fof(f792,definition,
( sP69_prd
<=> ( ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = 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,[sP69_prd])],[]) ).
fof(f793,plain,
( sP68_prd
<=> ( ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| sP69_prd ) ),
inference(formula_renaming,[status(thm)],[f783,f792]) ).
fof(f794,plain,
( ( ( ( op(e3,e0) != e3
| op(e3,e3) != e0
| op(e0,e0) = e0
| op(e0,e0) != e0 )
& ~ sP69_prd )
| sP68_prd )
& ( ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| sP69_prd
| ~ sP68_prd ) ),
inference(NNF_transformation,[status(thm)],[f793]) ).
fof(f795,plain,
( op(e0,e0) = e0
| sP69_prd
| ~ sP68_prd ),
inference(cnf_transformation,[status(thm)],[f794]) ).
fof(f796,plain,
( op(e0,e0) != e0
| sP69_prd
| ~ sP68_prd ),
inference(cnf_transformation,[status(thm)],[f794]) ).
fof(f797,plain,
( op(e3,e3) = e0
| sP69_prd
| ~ sP68_prd ),
inference(cnf_transformation,[status(thm)],[f794]) ).
fof(f799,plain,
( ~ sP69_prd
| sP68_prd ),
inference(cnf_transformation,[status(thm)],[f794]) ).
fof(f801,definition,
( sP70_prd
<=> ( ( op(e1,e0) = e1
& op(e1,e1) = 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,[sP70_prd])],[]) ).
fof(f802,plain,
( sP69_prd
<=> ( ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| sP70_prd ) ),
inference(formula_renaming,[status(thm)],[f792,f801]) ).
fof(f803,plain,
( ( ( ( op(e2,e0) != e2
| op(e2,e2) != e0
| op(e0,e0) = e0
| op(e0,e0) != e0 )
& ~ sP70_prd )
| sP69_prd )
& ( ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| sP70_prd
| ~ sP69_prd ) ),
inference(NNF_transformation,[status(thm)],[f802]) ).
fof(f804,plain,
( op(e0,e0) = e0
| sP70_prd
| ~ sP69_prd ),
inference(cnf_transformation,[status(thm)],[f803]) ).
fof(f805,plain,
( op(e0,e0) != e0
| sP70_prd
| ~ sP69_prd ),
inference(cnf_transformation,[status(thm)],[f803]) ).
fof(f808,plain,
( ~ sP70_prd
| sP69_prd ),
inference(cnf_transformation,[status(thm)],[f803]) ).
fof(f810,definition,
( sP71_prd
<=> ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ),
introduced(definition,[new_symbols(definition,[sP71_prd])],[]) ).
fof(f811,plain,
( sP70_prd
<=> ( ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| sP71_prd ) ),
inference(formula_renaming,[status(thm)],[f801,f810]) ).
fof(f812,plain,
( ( ( ( op(e1,e0) != e1
| op(e1,e1) != e0
| op(e0,e0) = e0
| op(e0,e0) != e0 )
& ~ sP71_prd )
| sP70_prd )
& ( ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| sP71_prd
| ~ sP70_prd ) ),
inference(NNF_transformation,[status(thm)],[f811]) ).
fof(f813,plain,
( op(e0,e0) = e0
| sP71_prd
| ~ sP70_prd ),
inference(cnf_transformation,[status(thm)],[f812]) ).
fof(f814,plain,
( op(e0,e0) != e0
| sP71_prd
| ~ sP70_prd ),
inference(cnf_transformation,[status(thm)],[f812]) ).
fof(f817,plain,
( ~ sP71_prd
| sP70_prd ),
inference(cnf_transformation,[status(thm)],[f812]) ).
fof(f819,plain,
( ( op(e0,e0) != e0
| op(e0,e0) != e0
| op(e0,e0) = e0
| op(e0,e0) != e0
| sP71_prd )
& ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ~ sP71_prd ) ),
inference(NNF_transformation,[status(thm)],[f810]) ).
fof(f820,plain,
( op(e0,e0) = e0
| ~ sP71_prd ),
inference(cnf_transformation,[status(thm)],[f819]) ).
fof(f821,plain,
( op(e0,e0) != e0
| ~ sP71_prd ),
inference(cnf_transformation,[status(thm)],[f819]) ).
fof(f825,definition,
( sQ0_spl
<=> op(e0,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f826,plain,
( ~ sQ0_spl
| op(e0,e0) = e0 ),
inference(component_clause,[status(thm)],[f825]) ).
fof(f828,definition,
( sQ1_spl
<=> op(e0,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f829,plain,
( ~ sQ1_spl
| op(e0,e0) = e1 ),
inference(component_clause,[status(thm)],[f828]) ).
fof(f831,definition,
( sQ2_spl
<=> op(e0,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f832,plain,
( ~ sQ2_spl
| op(e0,e0) = e2 ),
inference(component_clause,[status(thm)],[f831]) ).
fof(f834,definition,
( sQ3_spl
<=> op(e0,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f835,plain,
( ~ sQ3_spl
| op(e0,e0) = e3 ),
inference(component_clause,[status(thm)],[f834]) ).
fof(f837,plain,
( sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f30,f825,f828,f831,f834]) ).
fof(f838,definition,
( sQ4_spl
<=> op(e0,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f839,plain,
( ~ sQ4_spl
| op(e0,e1) = e0 ),
inference(component_clause,[status(thm)],[f838]) ).
fof(f841,definition,
( sQ5_spl
<=> op(e0,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f842,plain,
( ~ sQ5_spl
| op(e0,e1) = e1 ),
inference(component_clause,[status(thm)],[f841]) ).
fof(f844,definition,
( sQ6_spl
<=> op(e0,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f845,plain,
( ~ sQ6_spl
| op(e0,e1) = e2 ),
inference(component_clause,[status(thm)],[f844]) ).
fof(f847,definition,
( sQ7_spl
<=> op(e0,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f848,plain,
( ~ sQ7_spl
| op(e0,e1) = e3 ),
inference(component_clause,[status(thm)],[f847]) ).
fof(f850,plain,
( sQ7_spl
| sQ6_spl
| sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f31,f838,f841,f844,f847]) ).
fof(f851,definition,
( sQ8_spl
<=> op(e0,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f852,plain,
( ~ sQ8_spl
| op(e0,e2) = e0 ),
inference(component_clause,[status(thm)],[f851]) ).
fof(f854,definition,
( sQ9_spl
<=> op(e0,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f855,plain,
( ~ sQ9_spl
| op(e0,e2) = e1 ),
inference(component_clause,[status(thm)],[f854]) ).
fof(f857,definition,
( sQ10_spl
<=> op(e0,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f858,plain,
( ~ sQ10_spl
| op(e0,e2) = e2 ),
inference(component_clause,[status(thm)],[f857]) ).
fof(f860,definition,
( sQ11_spl
<=> op(e0,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f861,plain,
( ~ sQ11_spl
| op(e0,e2) = e3 ),
inference(component_clause,[status(thm)],[f860]) ).
fof(f863,plain,
( sQ11_spl
| sQ10_spl
| sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f32,f851,f854,f857,f860]) ).
fof(f864,definition,
( sQ12_spl
<=> op(e0,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f867,definition,
( sQ13_spl
<=> op(e0,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f868,plain,
( ~ sQ13_spl
| op(e0,e3) = e1 ),
inference(component_clause,[status(thm)],[f867]) ).
fof(f870,definition,
( sQ14_spl
<=> op(e0,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f871,plain,
( ~ sQ14_spl
| op(e0,e3) = e2 ),
inference(component_clause,[status(thm)],[f870]) ).
fof(f873,definition,
( sQ15_spl
<=> op(e0,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f874,plain,
( ~ sQ15_spl
| op(e0,e3) = e3 ),
inference(component_clause,[status(thm)],[f873]) ).
fof(f876,plain,
( sQ15_spl
| sQ14_spl
| sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f33,f864,f867,f870,f873]) ).
fof(f877,definition,
( sQ16_spl
<=> op(e1,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f878,plain,
( ~ sQ16_spl
| op(e1,e0) = e0 ),
inference(component_clause,[status(thm)],[f877]) ).
fof(f880,definition,
( sQ17_spl
<=> op(e1,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f881,plain,
( ~ sQ17_spl
| op(e1,e0) = e1 ),
inference(component_clause,[status(thm)],[f880]) ).
fof(f883,definition,
( sQ18_spl
<=> op(e1,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f884,plain,
( ~ sQ18_spl
| op(e1,e0) = e2 ),
inference(component_clause,[status(thm)],[f883]) ).
fof(f886,definition,
( sQ19_spl
<=> op(e1,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f887,plain,
( ~ sQ19_spl
| op(e1,e0) = e3 ),
inference(component_clause,[status(thm)],[f886]) ).
fof(f889,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f34,f877,f880,f883,f886]) ).
fof(f890,definition,
( sQ20_spl
<=> op(e1,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f891,plain,
( ~ sQ20_spl
| op(e1,e1) = e0 ),
inference(component_clause,[status(thm)],[f890]) ).
fof(f893,definition,
( sQ21_spl
<=> op(e1,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f894,plain,
( ~ sQ21_spl
| op(e1,e1) = e1 ),
inference(component_clause,[status(thm)],[f893]) ).
fof(f896,definition,
( sQ22_spl
<=> op(e1,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f897,plain,
( ~ sQ22_spl
| op(e1,e1) = e2 ),
inference(component_clause,[status(thm)],[f896]) ).
fof(f899,definition,
( sQ23_spl
<=> op(e1,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f900,plain,
( ~ sQ23_spl
| op(e1,e1) = e3 ),
inference(component_clause,[status(thm)],[f899]) ).
fof(f902,plain,
( sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f35,f890,f893,f896,f899]) ).
fof(f903,definition,
( sQ24_spl
<=> op(e1,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f904,plain,
( ~ sQ24_spl
| op(e1,e2) = e0 ),
inference(component_clause,[status(thm)],[f903]) ).
fof(f906,definition,
( sQ25_spl
<=> op(e1,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f907,plain,
( ~ sQ25_spl
| op(e1,e2) = e1 ),
inference(component_clause,[status(thm)],[f906]) ).
fof(f909,definition,
( sQ26_spl
<=> op(e1,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f910,plain,
( ~ sQ26_spl
| op(e1,e2) = e2 ),
inference(component_clause,[status(thm)],[f909]) ).
fof(f912,definition,
( sQ27_spl
<=> op(e1,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f913,plain,
( ~ sQ27_spl
| op(e1,e2) = e3 ),
inference(component_clause,[status(thm)],[f912]) ).
fof(f915,plain,
( sQ27_spl
| sQ26_spl
| sQ25_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f36,f903,f906,f909,f912]) ).
fof(f916,definition,
( sQ28_spl
<=> op(e1,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f917,plain,
( ~ sQ28_spl
| op(e1,e3) = e0 ),
inference(component_clause,[status(thm)],[f916]) ).
fof(f919,definition,
( sQ29_spl
<=> op(e1,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f920,plain,
( ~ sQ29_spl
| op(e1,e3) = e1 ),
inference(component_clause,[status(thm)],[f919]) ).
fof(f922,definition,
( sQ30_spl
<=> op(e1,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f923,plain,
( ~ sQ30_spl
| op(e1,e3) = e2 ),
inference(component_clause,[status(thm)],[f922]) ).
fof(f925,definition,
( sQ31_spl
<=> op(e1,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f926,plain,
( ~ sQ31_spl
| op(e1,e3) = e3 ),
inference(component_clause,[status(thm)],[f925]) ).
fof(f928,plain,
( sQ31_spl
| sQ30_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f37,f916,f919,f922,f925]) ).
fof(f929,definition,
( sQ32_spl
<=> op(e2,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f930,plain,
( ~ sQ32_spl
| op(e2,e0) = e0 ),
inference(component_clause,[status(thm)],[f929]) ).
fof(f932,definition,
( sQ33_spl
<=> op(e2,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f933,plain,
( ~ sQ33_spl
| op(e2,e0) = e1 ),
inference(component_clause,[status(thm)],[f932]) ).
fof(f935,definition,
( sQ34_spl
<=> op(e2,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f936,plain,
( ~ sQ34_spl
| op(e2,e0) = e2 ),
inference(component_clause,[status(thm)],[f935]) ).
fof(f938,definition,
( sQ35_spl
<=> op(e2,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f939,plain,
( ~ sQ35_spl
| op(e2,e0) = e3 ),
inference(component_clause,[status(thm)],[f938]) ).
fof(f941,plain,
( sQ35_spl
| sQ34_spl
| sQ33_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f38,f929,f932,f935,f938]) ).
fof(f942,definition,
( sQ36_spl
<=> op(e2,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f943,plain,
( ~ sQ36_spl
| op(e2,e1) = e0 ),
inference(component_clause,[status(thm)],[f942]) ).
fof(f945,definition,
( sQ37_spl
<=> op(e2,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f946,plain,
( ~ sQ37_spl
| op(e2,e1) = e1 ),
inference(component_clause,[status(thm)],[f945]) ).
fof(f948,definition,
( sQ38_spl
<=> op(e2,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f949,plain,
( ~ sQ38_spl
| op(e2,e1) = e2 ),
inference(component_clause,[status(thm)],[f948]) ).
fof(f951,definition,
( sQ39_spl
<=> op(e2,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f952,plain,
( ~ sQ39_spl
| op(e2,e1) = e3 ),
inference(component_clause,[status(thm)],[f951]) ).
fof(f954,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f39,f942,f945,f948,f951]) ).
fof(f955,definition,
( sQ40_spl
<=> op(e2,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f956,plain,
( ~ sQ40_spl
| op(e2,e2) = e0 ),
inference(component_clause,[status(thm)],[f955]) ).
fof(f958,definition,
( sQ41_spl
<=> op(e2,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f959,plain,
( ~ sQ41_spl
| op(e2,e2) = e1 ),
inference(component_clause,[status(thm)],[f958]) ).
fof(f961,definition,
( sQ42_spl
<=> op(e2,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f962,plain,
( ~ sQ42_spl
| op(e2,e2) = e2 ),
inference(component_clause,[status(thm)],[f961]) ).
fof(f964,definition,
( sQ43_spl
<=> op(e2,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f965,plain,
( ~ sQ43_spl
| op(e2,e2) = e3 ),
inference(component_clause,[status(thm)],[f964]) ).
fof(f967,plain,
( sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f40,f955,f958,f961,f964]) ).
fof(f968,definition,
( sQ44_spl
<=> op(e2,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f969,plain,
( ~ sQ44_spl
| op(e2,e3) = e0 ),
inference(component_clause,[status(thm)],[f968]) ).
fof(f971,definition,
( sQ45_spl
<=> op(e2,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f972,plain,
( ~ sQ45_spl
| op(e2,e3) = e1 ),
inference(component_clause,[status(thm)],[f971]) ).
fof(f974,definition,
( sQ46_spl
<=> op(e2,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f975,plain,
( ~ sQ46_spl
| op(e2,e3) = e2 ),
inference(component_clause,[status(thm)],[f974]) ).
fof(f977,definition,
( sQ47_spl
<=> op(e2,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f978,plain,
( ~ sQ47_spl
| op(e2,e3) = e3 ),
inference(component_clause,[status(thm)],[f977]) ).
fof(f980,plain,
( sQ47_spl
| sQ46_spl
| sQ45_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f41,f968,f971,f974,f977]) ).
fof(f981,definition,
( sQ48_spl
<=> op(e3,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f982,plain,
( ~ sQ48_spl
| op(e3,e0) = e0 ),
inference(component_clause,[status(thm)],[f981]) ).
fof(f984,definition,
( sQ49_spl
<=> op(e3,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f985,plain,
( ~ sQ49_spl
| op(e3,e0) = e1 ),
inference(component_clause,[status(thm)],[f984]) ).
fof(f987,definition,
( sQ50_spl
<=> op(e3,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f988,plain,
( ~ sQ50_spl
| op(e3,e0) = e2 ),
inference(component_clause,[status(thm)],[f987]) ).
fof(f990,definition,
( sQ51_spl
<=> op(e3,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f991,plain,
( ~ sQ51_spl
| op(e3,e0) = e3 ),
inference(component_clause,[status(thm)],[f990]) ).
fof(f993,plain,
( sQ51_spl
| sQ50_spl
| sQ49_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f42,f981,f984,f987,f990]) ).
fof(f994,definition,
( sQ52_spl
<=> op(e3,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f995,plain,
( ~ sQ52_spl
| op(e3,e1) = e0 ),
inference(component_clause,[status(thm)],[f994]) ).
fof(f997,definition,
( sQ53_spl
<=> op(e3,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f998,plain,
( ~ sQ53_spl
| op(e3,e1) = e1 ),
inference(component_clause,[status(thm)],[f997]) ).
fof(f1000,definition,
( sQ54_spl
<=> op(e3,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f1001,plain,
( ~ sQ54_spl
| op(e3,e1) = e2 ),
inference(component_clause,[status(thm)],[f1000]) ).
fof(f1003,definition,
( sQ55_spl
<=> op(e3,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f1004,plain,
( ~ sQ55_spl
| op(e3,e1) = e3 ),
inference(component_clause,[status(thm)],[f1003]) ).
fof(f1006,plain,
( sQ55_spl
| sQ54_spl
| sQ53_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f43,f994,f997,f1000,f1003]) ).
fof(f1007,definition,
( sQ56_spl
<=> op(e3,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f1008,plain,
( ~ sQ56_spl
| op(e3,e2) = e0 ),
inference(component_clause,[status(thm)],[f1007]) ).
fof(f1010,definition,
( sQ57_spl
<=> op(e3,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f1011,plain,
( ~ sQ57_spl
| op(e3,e2) = e1 ),
inference(component_clause,[status(thm)],[f1010]) ).
fof(f1013,definition,
( sQ58_spl
<=> op(e3,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f1014,plain,
( ~ sQ58_spl
| op(e3,e2) = e2 ),
inference(component_clause,[status(thm)],[f1013]) ).
fof(f1016,definition,
( sQ59_spl
<=> op(e3,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f1017,plain,
( ~ sQ59_spl
| op(e3,e2) = e3 ),
inference(component_clause,[status(thm)],[f1016]) ).
fof(f1019,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f44,f1007,f1010,f1013,f1016]) ).
fof(f1020,definition,
( sQ60_spl
<=> op(e3,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f1021,plain,
( ~ sQ60_spl
| op(e3,e3) = e0 ),
inference(component_clause,[status(thm)],[f1020]) ).
fof(f1023,definition,
( sQ61_spl
<=> op(e3,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f1024,plain,
( ~ sQ61_spl
| op(e3,e3) = e1 ),
inference(component_clause,[status(thm)],[f1023]) ).
fof(f1026,definition,
( sQ62_spl
<=> op(e3,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f1027,plain,
( ~ sQ62_spl
| op(e3,e3) = e2 ),
inference(component_clause,[status(thm)],[f1026]) ).
fof(f1029,definition,
( sQ63_spl
<=> op(e3,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f1030,plain,
( ~ sQ63_spl
| op(e3,e3) = e3 ),
inference(component_clause,[status(thm)],[f1029]) ).
fof(f1032,plain,
( sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f45,f1020,f1023,f1026,f1029]) ).
fof(f1033,plain,
( sQ12_spl
| sQ8_spl
| sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f46,f825,f838,f851,f864]) ).
fof(f1034,plain,
( sQ48_spl
| sQ32_spl
| sQ16_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f47,f825,f877,f929,f981]) ).
fof(f1035,plain,
( sQ13_spl
| sQ9_spl
| sQ5_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f48,f828,f841,f854,f867]) ).
fof(f1036,plain,
( sQ49_spl
| sQ33_spl
| sQ17_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f49,f828,f880,f932,f984]) ).
fof(f1037,plain,
( sQ14_spl
| sQ10_spl
| sQ6_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f50,f831,f844,f857,f870]) ).
fof(f1039,plain,
( sQ15_spl
| sQ11_spl
| sQ7_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f52,f834,f847,f860,f873]) ).
fof(f1040,plain,
( sQ51_spl
| sQ35_spl
| sQ19_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f53,f834,f886,f938,f990]) ).
fof(f1041,plain,
( sQ28_spl
| sQ24_spl
| sQ20_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f54,f877,f890,f903,f916]) ).
fof(f1042,plain,
( sQ52_spl
| sQ36_spl
| sQ20_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f55,f838,f890,f942,f994]) ).
fof(f1043,plain,
( sQ29_spl
| sQ25_spl
| sQ21_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f56,f880,f893,f906,f919]) ).
fof(f1044,plain,
( sQ53_spl
| sQ37_spl
| sQ21_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f57,f841,f893,f945,f997]) ).
fof(f1045,plain,
( sQ30_spl
| sQ26_spl
| sQ22_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f58,f883,f896,f909,f922]) ).
fof(f1046,plain,
( sQ54_spl
| sQ38_spl
| sQ22_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f59,f844,f896,f948,f1000]) ).
fof(f1047,plain,
( sQ31_spl
| sQ27_spl
| sQ23_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f60,f886,f899,f912,f925]) ).
fof(f1048,plain,
( sQ55_spl
| sQ39_spl
| sQ23_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f61,f847,f899,f951,f1003]) ).
fof(f1049,plain,
( sQ44_spl
| sQ40_spl
| sQ36_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f62,f929,f942,f955,f968]) ).
fof(f1050,plain,
( sQ56_spl
| sQ40_spl
| sQ24_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f63,f851,f903,f955,f1007]) ).
fof(f1051,plain,
( sQ45_spl
| sQ41_spl
| sQ37_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f64,f932,f945,f958,f971]) ).
fof(f1052,plain,
( sQ57_spl
| sQ41_spl
| sQ25_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f65,f854,f906,f958,f1010]) ).
fof(f1053,plain,
( sQ46_spl
| sQ42_spl
| sQ38_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f66,f935,f948,f961,f974]) ).
fof(f1054,plain,
( sQ58_spl
| sQ42_spl
| sQ26_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f67,f857,f909,f961,f1013]) ).
fof(f1055,plain,
( sQ47_spl
| sQ43_spl
| sQ39_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f68,f938,f951,f964,f977]) ).
fof(f1056,plain,
( sQ59_spl
| sQ43_spl
| sQ27_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f69,f860,f912,f964,f1016]) ).
fof(f1057,plain,
( sQ60_spl
| sQ56_spl
| sQ52_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f70,f981,f994,f1007,f1020]) ).
fof(f1058,plain,
( sQ60_spl
| sQ44_spl
| sQ28_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f71,f864,f916,f968,f1020]) ).
fof(f1059,plain,
( sQ61_spl
| sQ57_spl
| sQ53_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f72,f984,f997,f1010,f1023]) ).
fof(f1060,plain,
( sQ61_spl
| sQ45_spl
| sQ29_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f73,f867,f919,f971,f1023]) ).
fof(f1061,plain,
( sQ62_spl
| sQ58_spl
| sQ54_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f74,f987,f1000,f1013,f1026]) ).
fof(f1062,plain,
( sQ62_spl
| sQ46_spl
| sQ30_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f75,f870,f922,f974,f1026]) ).
fof(f1063,plain,
( sQ63_spl
| sQ59_spl
| sQ55_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f76,f990,f1003,f1016,f1029]) ).
fof(f1064,plain,
( sQ63_spl
| sQ47_spl
| sQ31_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f77,f873,f925,f977,f1029]) ).
fof(f1065,definition,
( sQ64_spl
<=> sP0_prd ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f1068,plain,
( sQ63_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f135,f1065,f1029]) ).
fof(f1069,plain,
( ~ sQ63_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f136,f1065,f1029]) ).
fof(f1072,definition,
( sQ65_spl
<=> sP1_prd ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f1075,plain,
( sQ63_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f139,f1072,f1029]) ).
fof(f1076,plain,
( sQ3_spl
| ~ sQ12_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f140,f1072,f864,f834]) ).
fof(f1077,plain,
( sQ23_spl
| ~ sQ29_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f141,f1072,f919,f899]) ).
fof(f1078,plain,
( sQ43_spl
| ~ sQ46_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f142,f1072,f974,f964]) ).
fof(f1083,definition,
( sQ67_spl
<=> e3 = op(op(e1,e1),e1) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f1085,plain,
( sQ67_spl
| e3 != op(op(e1,e1),e1) ),
inference(component_clause,[status(thm)],[f1083]) ).
fof(f1087,definition,
( sQ68_spl
<=> e2 = op(op(e1,e1),e1) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f1089,plain,
( sQ68_spl
| e2 != op(op(e1,e1),e1) ),
inference(component_clause,[status(thm)],[f1087]) ).
fof(f1091,definition,
( sQ69_spl
<=> e0 = op(op(e2,e2),op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f1093,plain,
( sQ69_spl
| e0 != op(op(e2,e2),op(e2,e2)) ),
inference(component_clause,[status(thm)],[f1091]) ).
fof(f1094,definition,
( sQ70_spl
<=> e3 = op(op(e2,e2),e2) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f1096,plain,
( sQ70_spl
| e3 != op(op(e2,e2),e2) ),
inference(component_clause,[status(thm)],[f1094]) ).
fof(f1097,plain,
( ~ sQ70_spl
| ~ sQ41_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f149,f1091,f958,f1094]) ).
fof(f1098,definition,
( sQ71_spl
<=> e1 = op(op(e2,e2),e2) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f1100,plain,
( sQ71_spl
| e1 != op(op(e2,e2),e2) ),
inference(component_clause,[status(thm)],[f1098]) ).
fof(f1101,plain,
( ~ sQ71_spl
| ~ sQ43_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f151,f1091,f964,f1098]) ).
fof(f1102,definition,
( sQ72_spl
<=> e0 = op(op(e3,e3),op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f1104,plain,
( sQ72_spl
| e0 != op(op(e3,e3),op(e3,e3)) ),
inference(component_clause,[status(thm)],[f1102]) ).
fof(f1105,definition,
( sQ73_spl
<=> e2 = op(op(e3,e3),e3) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f1107,plain,
( sQ73_spl
| e2 != op(op(e3,e3),e3) ),
inference(component_clause,[status(thm)],[f1105]) ).
fof(f1108,plain,
( ~ sQ73_spl
| ~ sQ61_spl
| ~ sQ72_spl ),
inference(split_clause,[status(thm)],[f153,f1102,f1023,f1105]) ).
fof(f1109,definition,
( sQ74_spl
<=> e1 = op(op(e3,e3),e3) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f1111,plain,
( sQ74_spl
| e1 != op(op(e3,e3),e3) ),
inference(component_clause,[status(thm)],[f1109]) ).
fof(f1112,plain,
( ~ sQ74_spl
| ~ sQ62_spl
| ~ sQ72_spl ),
inference(split_clause,[status(thm)],[f155,f1102,f1026,f1109]) ).
fof(f1113,definition,
( sQ75_spl
<=> e1 = op(op(e0,e0),op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f1115,plain,
( sQ75_spl
| e1 != op(op(e0,e0),op(e0,e0)) ),
inference(component_clause,[status(thm)],[f1113]) ).
fof(f1116,definition,
( sQ76_spl
<=> e3 = op(op(e0,e0),e0) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f1118,plain,
( sQ76_spl
| e3 != op(op(e0,e0),e0) ),
inference(component_clause,[status(thm)],[f1116]) ).
fof(f1120,definition,
( sQ77_spl
<=> e2 = op(op(e0,e0),e0) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f1122,plain,
( sQ77_spl
| e2 != op(op(e0,e0),e0) ),
inference(component_clause,[status(thm)],[f1120]) ).
fof(f1123,plain,
( ~ sQ77_spl
| ~ sQ3_spl
| ~ sQ75_spl ),
inference(split_clause,[status(thm)],[f159,f1113,f834,f1120]) ).
fof(f1124,definition,
( sQ78_spl
<=> e1 = op(op(e2,e2),op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f1126,plain,
( sQ78_spl
| e1 != op(op(e2,e2),op(e2,e2)) ),
inference(component_clause,[status(thm)],[f1124]) ).
fof(f1127,plain,
( ~ sQ70_spl
| ~ sQ40_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f161,f1124,f955,f1094]) ).
fof(f1128,definition,
( sQ79_spl
<=> e0 = op(op(e2,e2),e2) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f1130,plain,
( sQ79_spl
| e0 != op(op(e2,e2),e2) ),
inference(component_clause,[status(thm)],[f1128]) ).
fof(f1131,plain,
( ~ sQ79_spl
| ~ sQ43_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f163,f1124,f964,f1128]) ).
fof(f1132,definition,
( sQ80_spl
<=> e1 = op(op(e3,e3),op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f1134,plain,
( sQ80_spl
| e1 != op(op(e3,e3),op(e3,e3)) ),
inference(component_clause,[status(thm)],[f1132]) ).
fof(f1135,plain,
( ~ sQ73_spl
| ~ sQ60_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f165,f1132,f1020,f1105]) ).
fof(f1136,definition,
( sQ81_spl
<=> e0 = op(op(e3,e3),e3) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f1138,plain,
( sQ81_spl
| e0 != op(op(e3,e3),e3) ),
inference(component_clause,[status(thm)],[f1136]) ).
fof(f1140,definition,
( sQ82_spl
<=> e2 = op(op(e0,e0),op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f1142,plain,
( sQ82_spl
| e2 != op(op(e0,e0),op(e0,e0)) ),
inference(component_clause,[status(thm)],[f1140]) ).
fof(f1143,plain,
( ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f169,f1140,f828,f1116]) ).
fof(f1144,definition,
( sQ83_spl
<=> e1 = op(op(e0,e0),e0) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f1146,plain,
( sQ83_spl
| e1 != op(op(e0,e0),e0) ),
inference(component_clause,[status(thm)],[f1144]) ).
fof(f1147,plain,
( ~ sQ83_spl
| ~ sQ3_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f171,f1140,f834,f1144]) ).
fof(f1148,definition,
( sQ84_spl
<=> e2 = op(op(e1,e1),op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f1150,plain,
( sQ84_spl
| e2 != op(op(e1,e1),op(e1,e1)) ),
inference(component_clause,[status(thm)],[f1148]) ).
fof(f1151,plain,
( ~ sQ67_spl
| ~ sQ20_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f173,f1148,f890,f1083]) ).
fof(f1152,definition,
( sQ85_spl
<=> e0 = op(op(e1,e1),e1) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f1154,plain,
( sQ85_spl
| e0 != op(op(e1,e1),e1) ),
inference(component_clause,[status(thm)],[f1152]) ).
fof(f1155,plain,
( ~ sQ85_spl
| ~ sQ23_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f175,f1148,f899,f1152]) ).
fof(f1156,definition,
( sQ86_spl
<=> e2 = op(op(e3,e3),op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f1158,plain,
( sQ86_spl
| e2 != op(op(e3,e3),op(e3,e3)) ),
inference(component_clause,[status(thm)],[f1156]) ).
fof(f1159,plain,
( ~ sQ74_spl
| ~ sQ60_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f177,f1156,f1020,f1109]) ).
fof(f1160,plain,
( ~ sQ81_spl
| ~ sQ61_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f179,f1156,f1023,f1136]) ).
fof(f1161,definition,
( sQ87_spl
<=> e3 = op(op(e0,e0),op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f1163,plain,
( sQ87_spl
| e3 != op(op(e0,e0),op(e0,e0)) ),
inference(component_clause,[status(thm)],[f1161]) ).
fof(f1164,plain,
( ~ sQ77_spl
| ~ sQ1_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f181,f1161,f828,f1120]) ).
fof(f1165,plain,
( ~ sQ83_spl
| ~ sQ2_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f183,f1161,f831,f1144]) ).
fof(f1166,definition,
( sQ88_spl
<=> e3 = op(op(e1,e1),op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f1168,plain,
( sQ88_spl
| e3 != op(op(e1,e1),op(e1,e1)) ),
inference(component_clause,[status(thm)],[f1166]) ).
fof(f1169,plain,
( ~ sQ68_spl
| ~ sQ20_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f185,f1166,f890,f1087]) ).
fof(f1171,definition,
( sQ89_spl
<=> e3 = op(op(e2,e2),op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f1173,plain,
( sQ89_spl
| e3 != op(op(e2,e2),op(e2,e2)) ),
inference(component_clause,[status(thm)],[f1171]) ).
fof(f1174,plain,
( ~ sQ71_spl
| ~ sQ40_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f189,f1171,f955,f1098]) ).
fof(f1175,plain,
( ~ sQ79_spl
| ~ sQ41_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f191,f1171,f958,f1128]) ).
fof(f1176,definition,
( sQ90_spl
<=> sP2_prd ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f1179,plain,
( sQ63_spl
| sQ90_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f195,f1065,f1176,f1029]) ).
fof(f1180,plain,
( ~ sQ63_spl
| sQ90_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f196,f1065,f1176,f1029]) ).
fof(f1183,plain,
( ~ sQ90_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f199,f1065,f1176]) ).
fof(f1185,definition,
( sQ91_spl
<=> sP3_prd ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f1188,plain,
( sQ42_spl
| sQ91_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f207,f1072,f1185,f961]) ).
fof(f1189,definition,
( sQ92_spl
<=> sP4_prd ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f1192,plain,
( sQ92_spl
| sQ91_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f208,f1072,f1185,f1189]) ).
fof(f1193,definition,
( sQ93_spl
<=> sP5_prd ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f1196,plain,
( sQ93_spl
| sQ91_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f209,f1072,f1185,f1193]) ).
fof(f1198,plain,
( sQ62_spl
| ~ sQ59_spl
| sQ91_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f211,f1072,f1185,f1016,f1026]) ).
fof(f1202,plain,
( sQ59_spl
| ~ sQ93_spl
| ~ sQ92_spl
| ~ sQ42_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f215,f1072,f961,f1189,f1193,f1016]) ).
fof(f1204,definition,
( sQ94_spl
<=> sP6_prd ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f1207,plain,
( sQ63_spl
| sQ94_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f220,f1176,f1204,f1029]) ).
fof(f1208,plain,
( ~ sQ63_spl
| sQ94_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f221,f1176,f1204,f1029]) ).
fof(f1211,plain,
( ~ sQ94_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f224,f1176,f1204]) ).
fof(f1213,definition,
( sQ95_spl
<=> sP7_prd ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f1216,plain,
( sQ21_spl
| sQ95_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f232,f1185,f1213,f893]) ).
fof(f1217,definition,
( sQ96_spl
<=> sP8_prd ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f1220,plain,
( sQ96_spl
| sQ95_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f233,f1185,f1213,f1217]) ).
fof(f1221,definition,
( sQ97_spl
<=> sP9_prd ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f1225,plain,
( sQ41_spl
| ~ sQ38_spl
| sQ95_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f235,f1185,f1213,f948,f958]) ).
fof(f1226,plain,
( sQ61_spl
| ~ sQ55_spl
| sQ95_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f236,f1185,f1213,f1003,f1023]) ).
fof(f1227,plain,
( ~ sQ95_spl
| sQ91_spl ),
inference(split_clause,[status(thm)],[f237,f1185,f1213]) ).
fof(f1232,plain,
( sQ2_spl
| ~ sQ8_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f243,f1189,f851,f831]) ).
fof(f1233,plain,
( sQ8_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f244,f1189,f851]) ).
fof(f1234,plain,
( ~ sQ2_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f245,f1189,f831]) ).
fof(f1235,plain,
( sQ22_spl
| ~ sQ25_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f247,f1193,f906,f896]) ).
fof(f1236,plain,
( sQ25_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f248,f1193,f906]) ).
fof(f1237,plain,
( ~ sQ22_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f249,f1193,f896]) ).
fof(f1238,definition,
( sQ98_spl
<=> sP10_prd ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f1241,plain,
( sQ63_spl
| sQ98_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f253,f1204,f1238,f1029]) ).
fof(f1242,plain,
( ~ sQ63_spl
| sQ98_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f254,f1204,f1238,f1029]) ).
fof(f1243,plain,
( sQ3_spl
| sQ98_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f255,f1204,f1238,f834]) ).
fof(f1245,plain,
( ~ sQ98_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f257,f1204,f1238]) ).
fof(f1247,plain,
( sQ0_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f263,f1213,f825]) ).
fof(f1248,definition,
( sQ99_spl
<=> sP11_prd ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f1252,definition,
( sQ100_spl
<=> sP12_prd ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f1255,plain,
( sQ100_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f265,f1213,f1252]) ).
fof(f1256,plain,
( sQ40_spl
| ~ sQ34_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f266,f1213,f935,f955]) ).
fof(f1257,plain,
( sQ60_spl
| ~ sQ51_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f267,f1213,f990,f1020]) ).
fof(f1258,plain,
( sQ51_spl
| sQ34_spl
| ~ sQ100_spl
| ~ sQ99_spl
| ~ sQ0_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f268,f1213,f825,f1248,f1252,f935,f990]) ).
fof(f1259,plain,
( ~ sQ60_spl
| sQ34_spl
| ~ sQ100_spl
| ~ sQ99_spl
| ~ sQ0_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f269,f1213,f825,f1248,f1252,f935,f1020]) ).
fof(f1262,plain,
( sQ1_spl
| ~ sQ4_spl
| ~ sQ96_spl ),
inference(split_clause,[status(thm)],[f273,f1217,f838,f828]) ).
fof(f1263,plain,
( sQ4_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f274,f1217,f838]) ).
fof(f1264,plain,
( ~ sQ1_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f275,f1217,f828]) ).
fof(f1266,plain,
( sQ21_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f278,f1221,f893]) ).
fof(f1267,plain,
( ~ sQ21_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f279,f1221,f893]) ).
fof(f1268,definition,
( sQ101_spl
<=> sP13_prd ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f1271,plain,
( sQ59_spl
| sQ101_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f283,f1238,f1268,f1016]) ).
fof(f1272,plain,
( ~ sQ62_spl
| sQ101_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f284,f1238,f1268,f1026]) ).
fof(f1273,plain,
( sQ63_spl
| sQ101_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f285,f1238,f1268,f1029]) ).
fof(f1275,plain,
( ~ sQ101_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f287,f1238,f1268]) ).
fof(f1278,plain,
( sQ0_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f291,f1248,f825]) ).
fof(f1279,plain,
( ~ sQ0_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f292,f1248,f825]) ).
fof(f1280,plain,
( sQ20_spl
| ~ sQ17_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f294,f1252,f880,f890]) ).
fof(f1281,plain,
( sQ17_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f295,f1252,f880]) ).
fof(f1282,plain,
( ~ sQ20_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f296,f1252,f890]) ).
fof(f1283,definition,
( sQ102_spl
<=> sP14_prd ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f1286,plain,
( sQ59_spl
| sQ102_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f300,f1268,f1283,f1016]) ).
fof(f1287,plain,
( ~ sQ62_spl
| sQ102_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f301,f1268,f1283,f1026]) ).
fof(f1288,plain,
( sQ43_spl
| sQ102_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f302,f1268,f1283,f964]) ).
fof(f1290,plain,
( ~ sQ102_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f304,f1268,f1283]) ).
fof(f1292,definition,
( sQ103_spl
<=> sP15_prd ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f1295,plain,
( sQ59_spl
| sQ103_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f309,f1283,f1292,f1016]) ).
fof(f1296,plain,
( ~ sQ62_spl
| sQ103_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f310,f1283,f1292,f1026]) ).
fof(f1297,plain,
( sQ23_spl
| sQ103_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f311,f1283,f1292,f899]) ).
fof(f1298,plain,
( sQ29_spl
| sQ103_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f312,f1283,f1292,f919]) ).
fof(f1299,plain,
( ~ sQ103_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f313,f1283,f1292]) ).
fof(f1301,definition,
( sQ104_spl
<=> sP16_prd ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f1304,plain,
( sQ59_spl
| sQ104_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f318,f1292,f1301,f1016]) ).
fof(f1305,plain,
( ~ sQ62_spl
| sQ104_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f319,f1292,f1301,f1026]) ).
fof(f1306,plain,
( sQ3_spl
| sQ104_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f320,f1292,f1301,f834]) ).
fof(f1307,plain,
( sQ12_spl
| sQ104_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f321,f1292,f1301,f864]) ).
fof(f1308,plain,
( ~ sQ104_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f322,f1292,f1301]) ).
fof(f1310,definition,
( sQ105_spl
<=> sP17_prd ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f1313,plain,
( sQ55_spl
| sQ105_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f327,f1301,f1310,f1003]) ).
fof(f1315,plain,
( sQ63_spl
| sQ105_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f329,f1301,f1310,f1029]) ).
fof(f1317,plain,
( ~ sQ105_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f331,f1301,f1310]) ).
fof(f1319,definition,
( sQ106_spl
<=> sP18_prd ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f1322,plain,
( sQ55_spl
| sQ106_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f336,f1310,f1319,f1003]) ).
fof(f1323,plain,
( ~ sQ61_spl
| sQ106_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f337,f1310,f1319,f1023]) ).
fof(f1324,plain,
( sQ43_spl
| sQ106_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f338,f1310,f1319,f964]) ).
fof(f1325,plain,
( sQ46_spl
| sQ106_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f339,f1310,f1319,f974]) ).
fof(f1326,plain,
( ~ sQ106_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f340,f1310,f1319]) ).
fof(f1328,definition,
( sQ107_spl
<=> sP19_prd ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f1331,plain,
( sQ55_spl
| sQ107_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f345,f1319,f1328,f1003]) ).
fof(f1333,plain,
( sQ23_spl
| sQ107_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f347,f1319,f1328,f899]) ).
fof(f1334,plain,
( sQ29_spl
| sQ107_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f348,f1319,f1328,f919]) ).
fof(f1335,plain,
( ~ sQ107_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f349,f1319,f1328]) ).
fof(f1337,definition,
( sQ108_spl
<=> sP20_prd ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f1340,plain,
( sQ55_spl
| sQ108_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f354,f1328,f1337,f1003]) ).
fof(f1341,plain,
( ~ sQ61_spl
| sQ108_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f355,f1328,f1337,f1023]) ).
fof(f1342,plain,
( sQ3_spl
| sQ108_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f356,f1328,f1337,f834]) ).
fof(f1343,plain,
( sQ12_spl
| sQ108_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f357,f1328,f1337,f864]) ).
fof(f1344,plain,
( ~ sQ108_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f358,f1328,f1337]) ).
fof(f1346,definition,
( sQ109_spl
<=> sP21_prd ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f1349,plain,
( sQ51_spl
| sQ109_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f363,f1337,f1346,f990]) ).
fof(f1351,plain,
( sQ63_spl
| sQ109_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f365,f1337,f1346,f1029]) ).
fof(f1353,plain,
( ~ sQ109_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f367,f1337,f1346]) ).
fof(f1355,definition,
( sQ110_spl
<=> sP22_prd ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f1358,plain,
( sQ51_spl
| sQ110_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f372,f1346,f1355,f990]) ).
fof(f1359,plain,
( ~ sQ60_spl
| sQ110_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f373,f1346,f1355,f1020]) ).
fof(f1360,plain,
( sQ43_spl
| sQ110_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f374,f1346,f1355,f964]) ).
fof(f1361,plain,
( sQ46_spl
| sQ110_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f375,f1346,f1355,f974]) ).
fof(f1362,plain,
( ~ sQ110_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f376,f1346,f1355]) ).
fof(f1364,definition,
( sQ111_spl
<=> sP23_prd ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f1367,plain,
( sQ51_spl
| sQ111_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f381,f1355,f1364,f990]) ).
fof(f1368,plain,
( ~ sQ60_spl
| sQ111_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f382,f1355,f1364,f1020]) ).
fof(f1369,plain,
( sQ23_spl
| sQ111_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f383,f1355,f1364,f899]) ).
fof(f1370,plain,
( sQ29_spl
| sQ111_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f384,f1355,f1364,f919]) ).
fof(f1371,plain,
( ~ sQ111_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f385,f1355,f1364]) ).
fof(f1373,definition,
( sQ112_spl
<=> sP24_prd ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f1376,plain,
( sQ51_spl
| sQ112_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f390,f1364,f1373,f990]) ).
fof(f1378,plain,
( sQ3_spl
| sQ112_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f392,f1364,f1373,f834]) ).
fof(f1380,plain,
( ~ sQ112_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f394,f1364,f1373]) ).
fof(f1382,definition,
( sQ113_spl
<=> sP25_prd ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f1385,plain,
( sQ46_spl
| sQ113_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f399,f1373,f1382,f974]) ).
fof(f1387,plain,
( sQ62_spl
| sQ113_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f401,f1373,f1382,f1026]) ).
fof(f1389,plain,
( ~ sQ113_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f403,f1373,f1382]) ).
fof(f1391,definition,
( sQ114_spl
<=> sP26_prd ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f1394,plain,
( sQ46_spl
| sQ114_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f408,f1382,f1391,f974]) ).
fof(f1396,plain,
( sQ42_spl
| sQ114_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f410,f1382,f1391,f961]) ).
fof(f1398,plain,
( ~ sQ114_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f412,f1382,f1391]) ).
fof(f1400,definition,
( sQ115_spl
<=> sP27_prd ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f1403,plain,
( sQ46_spl
| sQ115_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f417,f1391,f1400,f974]) ).
fof(f1404,plain,
( ~ sQ43_spl
| sQ115_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f418,f1391,f1400,f964]) ).
fof(f1405,plain,
( sQ22_spl
| sQ115_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f419,f1391,f1400,f896]) ).
fof(f1406,plain,
( sQ25_spl
| sQ115_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f420,f1391,f1400,f906]) ).
fof(f1407,plain,
( ~ sQ115_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f421,f1391,f1400]) ).
fof(f1409,definition,
( sQ116_spl
<=> sP28_prd ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f1412,plain,
( sQ46_spl
| sQ116_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f426,f1400,f1409,f974]) ).
fof(f1413,plain,
( ~ sQ43_spl
| sQ116_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f427,f1400,f1409,f964]) ).
fof(f1414,plain,
( sQ2_spl
| sQ116_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f428,f1400,f1409,f831]) ).
fof(f1415,plain,
( sQ8_spl
| sQ116_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f429,f1400,f1409,f851]) ).
fof(f1416,plain,
( ~ sQ116_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f430,f1400,f1409]) ).
fof(f1418,definition,
( sQ117_spl
<=> sP29_prd ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f1421,plain,
( sQ42_spl
| sQ117_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f435,f1409,f1418,f961]) ).
fof(f1422,plain,
( ~ sQ42_spl
| sQ117_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f436,f1409,f1418,f961]) ).
fof(f1423,plain,
( sQ62_spl
| sQ117_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f437,f1409,f1418,f1026]) ).
fof(f1425,plain,
( ~ sQ117_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f439,f1409,f1418]) ).
fof(f1427,definition,
( sQ118_spl
<=> sP30_prd ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f1430,plain,
( sQ42_spl
| sQ118_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f444,f1418,f1427,f961]) ).
fof(f1431,plain,
( ~ sQ42_spl
| sQ118_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f445,f1418,f1427,f961]) ).
fof(f1434,plain,
( ~ sQ118_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f448,f1418,f1427]) ).
fof(f1436,definition,
( sQ119_spl
<=> sP31_prd ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f1439,plain,
( sQ42_spl
| sQ119_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f453,f1427,f1436,f961]) ).
fof(f1440,plain,
( ~ sQ42_spl
| sQ119_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f454,f1427,f1436,f961]) ).
fof(f1443,plain,
( ~ sQ119_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f457,f1427,f1436]) ).
fof(f1445,definition,
( sQ120_spl
<=> sP32_prd ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f1448,plain,
( sQ42_spl
| sQ120_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f462,f1436,f1445,f961]) ).
fof(f1449,plain,
( ~ sQ42_spl
| sQ120_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f463,f1436,f1445,f961]) ).
fof(f1452,plain,
( ~ sQ120_spl
| sQ119_spl ),
inference(split_clause,[status(thm)],[f466,f1436,f1445]) ).
fof(f1454,definition,
( sQ121_spl
<=> sP33_prd ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f1457,plain,
( sQ38_spl
| sQ121_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f471,f1445,f1454,f948]) ).
fof(f1458,plain,
( ~ sQ41_spl
| sQ121_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f472,f1445,f1454,f958]) ).
fof(f1459,plain,
( sQ62_spl
| sQ121_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f473,f1445,f1454,f1026]) ).
fof(f1461,plain,
( ~ sQ121_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f475,f1445,f1454]) ).
fof(f1463,definition,
( sQ122_spl
<=> sP34_prd ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f1466,plain,
( sQ38_spl
| sQ122_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f480,f1454,f1463,f948]) ).
fof(f1467,plain,
( ~ sQ41_spl
| sQ122_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f481,f1454,f1463,f958]) ).
fof(f1468,plain,
( sQ42_spl
| sQ122_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f482,f1454,f1463,f961]) ).
fof(f1470,plain,
( ~ sQ122_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f484,f1454,f1463]) ).
fof(f1472,definition,
( sQ123_spl
<=> sP35_prd ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f1475,plain,
( sQ38_spl
| sQ123_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f489,f1463,f1472,f948]) ).
fof(f1476,plain,
( ~ sQ41_spl
| sQ123_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f490,f1463,f1472,f958]) ).
fof(f1477,plain,
( sQ22_spl
| sQ123_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f491,f1463,f1472,f896]) ).
fof(f1479,plain,
( ~ sQ123_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f493,f1463,f1472]) ).
fof(f1481,definition,
( sQ124_spl
<=> sP36_prd ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f1484,plain,
( sQ38_spl
| sQ124_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f498,f1472,f1481,f948]) ).
fof(f1485,plain,
( ~ sQ41_spl
| sQ124_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f499,f1472,f1481,f958]) ).
fof(f1486,plain,
( sQ2_spl
| sQ124_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f500,f1472,f1481,f831]) ).
fof(f1487,plain,
( sQ8_spl
| sQ124_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f501,f1472,f1481,f851]) ).
fof(f1488,plain,
( ~ sQ124_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f502,f1472,f1481]) ).
fof(f1490,definition,
( sQ125_spl
<=> sP37_prd ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f1493,plain,
( sQ34_spl
| sQ125_spl
| ~ sQ124_spl ),
inference(split_clause,[status(thm)],[f507,f1481,f1490,f935]) ).
fof(f1494,plain,
( ~ sQ40_spl
| sQ125_spl
| ~ sQ124_spl ),
inference(split_clause,[status(thm)],[f508,f1481,f1490,f955]) ).
fof(f1495,plain,
( sQ62_spl
| sQ125_spl
| ~ sQ124_spl ),
inference(split_clause,[status(thm)],[f509,f1481,f1490,f1026]) ).
fof(f1497,plain,
( ~ sQ125_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f511,f1481,f1490]) ).
fof(f1499,definition,
( sQ126_spl
<=> sP38_prd ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f1502,plain,
( sQ34_spl
| sQ126_spl
| ~ sQ125_spl ),
inference(split_clause,[status(thm)],[f516,f1490,f1499,f935]) ).
fof(f1503,plain,
( ~ sQ40_spl
| sQ126_spl
| ~ sQ125_spl ),
inference(split_clause,[status(thm)],[f517,f1490,f1499,f955]) ).
fof(f1504,plain,
( sQ42_spl
| sQ126_spl
| ~ sQ125_spl ),
inference(split_clause,[status(thm)],[f518,f1490,f1499,f961]) ).
fof(f1506,plain,
( ~ sQ126_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f520,f1490,f1499]) ).
fof(f1508,definition,
( sQ127_spl
<=> sP39_prd ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f1511,plain,
( sQ34_spl
| sQ127_spl
| ~ sQ126_spl ),
inference(split_clause,[status(thm)],[f525,f1499,f1508,f935]) ).
fof(f1512,plain,
( ~ sQ40_spl
| sQ127_spl
| ~ sQ126_spl ),
inference(split_clause,[status(thm)],[f526,f1499,f1508,f955]) ).
fof(f1513,plain,
( sQ22_spl
| sQ127_spl
| ~ sQ126_spl ),
inference(split_clause,[status(thm)],[f527,f1499,f1508,f896]) ).
fof(f1514,plain,
( sQ25_spl
| sQ127_spl
| ~ sQ126_spl ),
inference(split_clause,[status(thm)],[f528,f1499,f1508,f906]) ).
fof(f1515,plain,
( ~ sQ127_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f529,f1499,f1508]) ).
fof(f1517,definition,
( sQ128_spl
<=> sP40_prd ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f1520,plain,
( sQ34_spl
| sQ128_spl
| ~ sQ127_spl ),
inference(split_clause,[status(thm)],[f534,f1508,f1517,f935]) ).
fof(f1521,plain,
( ~ sQ40_spl
| sQ128_spl
| ~ sQ127_spl ),
inference(split_clause,[status(thm)],[f535,f1508,f1517,f955]) ).
fof(f1522,plain,
( sQ2_spl
| sQ128_spl
| ~ sQ127_spl ),
inference(split_clause,[status(thm)],[f536,f1508,f1517,f831]) ).
fof(f1523,plain,
( sQ8_spl
| sQ128_spl
| ~ sQ127_spl ),
inference(split_clause,[status(thm)],[f537,f1508,f1517,f851]) ).
fof(f1524,plain,
( ~ sQ128_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f538,f1508,f1517]) ).
fof(f1526,definition,
( sQ129_spl
<=> sP41_prd ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f1529,plain,
( sQ29_spl
| sQ129_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f543,f1517,f1526,f919]) ).
fof(f1530,plain,
( ~ sQ23_spl
| sQ129_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f544,f1517,f1526,f899]) ).
fof(f1531,plain,
( sQ61_spl
| sQ129_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f545,f1517,f1526,f1023]) ).
fof(f1532,plain,
( sQ55_spl
| sQ129_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f546,f1517,f1526,f1003]) ).
fof(f1533,plain,
( ~ sQ129_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f547,f1517,f1526]) ).
fof(f1535,definition,
( sQ130_spl
<=> sP42_prd ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f1538,plain,
( sQ29_spl
| sQ130_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f552,f1526,f1535,f919]) ).
fof(f1539,plain,
( ~ sQ23_spl
| sQ130_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f553,f1526,f1535,f899]) ).
fof(f1540,plain,
( sQ41_spl
| sQ130_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f554,f1526,f1535,f958]) ).
fof(f1541,plain,
( sQ38_spl
| sQ130_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f555,f1526,f1535,f948]) ).
fof(f1542,plain,
( ~ sQ130_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f556,f1526,f1535]) ).
fof(f1544,definition,
( sQ131_spl
<=> sP43_prd ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f1547,plain,
( sQ29_spl
| sQ131_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f561,f1535,f1544,f919]) ).
fof(f1548,plain,
( ~ sQ23_spl
| sQ131_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f562,f1535,f1544,f899]) ).
fof(f1549,plain,
( sQ21_spl
| sQ131_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f563,f1535,f1544,f893]) ).
fof(f1551,plain,
( ~ sQ131_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f565,f1535,f1544]) ).
fof(f1553,definition,
( sQ132_spl
<=> sP44_prd ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f1556,plain,
( sQ29_spl
| sQ132_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f570,f1544,f1553,f919]) ).
fof(f1557,plain,
( ~ sQ23_spl
| sQ132_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f571,f1544,f1553,f899]) ).
fof(f1558,plain,
( sQ1_spl
| sQ132_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f572,f1544,f1553,f828]) ).
fof(f1559,plain,
( sQ4_spl
| sQ132_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f573,f1544,f1553,f838]) ).
fof(f1560,plain,
( ~ sQ132_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f574,f1544,f1553]) ).
fof(f1562,definition,
( sQ133_spl
<=> sP45_prd ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f1565,plain,
( sQ25_spl
| sQ133_spl
| ~ sQ132_spl ),
inference(split_clause,[status(thm)],[f579,f1553,f1562,f906]) ).
fof(f1566,plain,
( ~ sQ22_spl
| sQ133_spl
| ~ sQ132_spl ),
inference(split_clause,[status(thm)],[f580,f1553,f1562,f896]) ).
fof(f1567,plain,
( sQ61_spl
| sQ133_spl
| ~ sQ132_spl ),
inference(split_clause,[status(thm)],[f581,f1553,f1562,f1023]) ).
fof(f1568,plain,
( sQ55_spl
| sQ133_spl
| ~ sQ132_spl ),
inference(split_clause,[status(thm)],[f582,f1553,f1562,f1003]) ).
fof(f1569,plain,
( ~ sQ133_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f583,f1553,f1562]) ).
fof(f1571,definition,
( sQ134_spl
<=> sP46_prd ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f1574,plain,
( sQ25_spl
| sQ134_spl
| ~ sQ133_spl ),
inference(split_clause,[status(thm)],[f588,f1562,f1571,f906]) ).
fof(f1575,plain,
( ~ sQ22_spl
| sQ134_spl
| ~ sQ133_spl ),
inference(split_clause,[status(thm)],[f589,f1562,f1571,f896]) ).
fof(f1576,plain,
( sQ41_spl
| sQ134_spl
| ~ sQ133_spl ),
inference(split_clause,[status(thm)],[f590,f1562,f1571,f958]) ).
fof(f1577,plain,
( sQ38_spl
| sQ134_spl
| ~ sQ133_spl ),
inference(split_clause,[status(thm)],[f591,f1562,f1571,f948]) ).
fof(f1578,plain,
( ~ sQ134_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f592,f1562,f1571]) ).
fof(f1580,definition,
( sQ135_spl
<=> sP47_prd ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f1583,plain,
( sQ25_spl
| sQ135_spl
| ~ sQ134_spl ),
inference(split_clause,[status(thm)],[f597,f1571,f1580,f906]) ).
fof(f1584,plain,
( ~ sQ22_spl
| sQ135_spl
| ~ sQ134_spl ),
inference(split_clause,[status(thm)],[f598,f1571,f1580,f896]) ).
fof(f1585,plain,
( sQ21_spl
| sQ135_spl
| ~ sQ134_spl ),
inference(split_clause,[status(thm)],[f599,f1571,f1580,f893]) ).
fof(f1587,plain,
( ~ sQ135_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f601,f1571,f1580]) ).
fof(f1589,definition,
( sQ136_spl
<=> sP48_prd ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f1592,plain,
( sQ25_spl
| sQ136_spl
| ~ sQ135_spl ),
inference(split_clause,[status(thm)],[f606,f1580,f1589,f906]) ).
fof(f1593,plain,
( ~ sQ22_spl
| sQ136_spl
| ~ sQ135_spl ),
inference(split_clause,[status(thm)],[f607,f1580,f1589,f896]) ).
fof(f1594,plain,
( sQ1_spl
| sQ136_spl
| ~ sQ135_spl ),
inference(split_clause,[status(thm)],[f608,f1580,f1589,f828]) ).
fof(f1595,plain,
( sQ4_spl
| sQ136_spl
| ~ sQ135_spl ),
inference(split_clause,[status(thm)],[f609,f1580,f1589,f838]) ).
fof(f1596,plain,
( ~ sQ136_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f610,f1580,f1589]) ).
fof(f1598,definition,
( sQ137_spl
<=> sP49_prd ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f1601,plain,
( sQ21_spl
| sQ137_spl
| ~ sQ136_spl ),
inference(split_clause,[status(thm)],[f615,f1589,f1598,f893]) ).
fof(f1602,plain,
( ~ sQ21_spl
| sQ137_spl
| ~ sQ136_spl ),
inference(split_clause,[status(thm)],[f616,f1589,f1598,f893]) ).
fof(f1603,plain,
( sQ61_spl
| sQ137_spl
| ~ sQ136_spl ),
inference(split_clause,[status(thm)],[f617,f1589,f1598,f1023]) ).
fof(f1604,plain,
( sQ55_spl
| sQ137_spl
| ~ sQ136_spl ),
inference(split_clause,[status(thm)],[f618,f1589,f1598,f1003]) ).
fof(f1605,plain,
( ~ sQ137_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f619,f1589,f1598]) ).
fof(f1607,definition,
( sQ138_spl
<=> sP50_prd ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f1610,plain,
( sQ21_spl
| sQ138_spl
| ~ sQ137_spl ),
inference(split_clause,[status(thm)],[f624,f1598,f1607,f893]) ).
fof(f1611,plain,
( ~ sQ21_spl
| sQ138_spl
| ~ sQ137_spl ),
inference(split_clause,[status(thm)],[f625,f1598,f1607,f893]) ).
fof(f1612,plain,
( sQ41_spl
| sQ138_spl
| ~ sQ137_spl ),
inference(split_clause,[status(thm)],[f626,f1598,f1607,f958]) ).
fof(f1614,plain,
( ~ sQ138_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f628,f1598,f1607]) ).
fof(f1616,definition,
( sQ139_spl
<=> sP51_prd ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f1619,plain,
( sQ21_spl
| sQ139_spl
| ~ sQ138_spl ),
inference(split_clause,[status(thm)],[f633,f1607,f1616,f893]) ).
fof(f1620,plain,
( ~ sQ21_spl
| sQ139_spl
| ~ sQ138_spl ),
inference(split_clause,[status(thm)],[f634,f1607,f1616,f893]) ).
fof(f1623,plain,
( ~ sQ139_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f637,f1607,f1616]) ).
fof(f1625,definition,
( sQ140_spl
<=> sP52_prd ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f1628,plain,
( sQ21_spl
| sQ140_spl
| ~ sQ139_spl ),
inference(split_clause,[status(thm)],[f642,f1616,f1625,f893]) ).
fof(f1629,plain,
( ~ sQ21_spl
| sQ140_spl
| ~ sQ139_spl ),
inference(split_clause,[status(thm)],[f643,f1616,f1625,f893]) ).
fof(f1630,plain,
( sQ1_spl
| sQ140_spl
| ~ sQ139_spl ),
inference(split_clause,[status(thm)],[f644,f1616,f1625,f828]) ).
fof(f1631,plain,
( sQ4_spl
| sQ140_spl
| ~ sQ139_spl ),
inference(split_clause,[status(thm)],[f645,f1616,f1625,f838]) ).
fof(f1632,plain,
( ~ sQ140_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f646,f1616,f1625]) ).
fof(f1634,definition,
( sQ141_spl
<=> sP53_prd ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f1637,plain,
( sQ17_spl
| sQ141_spl
| ~ sQ140_spl ),
inference(split_clause,[status(thm)],[f651,f1625,f1634,f880]) ).
fof(f1638,plain,
( ~ sQ20_spl
| sQ141_spl
| ~ sQ140_spl ),
inference(split_clause,[status(thm)],[f652,f1625,f1634,f890]) ).
fof(f1639,plain,
( sQ61_spl
| sQ141_spl
| ~ sQ140_spl ),
inference(split_clause,[status(thm)],[f653,f1625,f1634,f1023]) ).
fof(f1640,plain,
( sQ55_spl
| sQ141_spl
| ~ sQ140_spl ),
inference(split_clause,[status(thm)],[f654,f1625,f1634,f1003]) ).
fof(f1641,plain,
( ~ sQ141_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f655,f1625,f1634]) ).
fof(f1643,definition,
( sQ142_spl
<=> sP54_prd ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f1646,plain,
( sQ17_spl
| sQ142_spl
| ~ sQ141_spl ),
inference(split_clause,[status(thm)],[f660,f1634,f1643,f880]) ).
fof(f1647,plain,
( ~ sQ20_spl
| sQ142_spl
| ~ sQ141_spl ),
inference(split_clause,[status(thm)],[f661,f1634,f1643,f890]) ).
fof(f1648,plain,
( sQ41_spl
| sQ142_spl
| ~ sQ141_spl ),
inference(split_clause,[status(thm)],[f662,f1634,f1643,f958]) ).
fof(f1649,plain,
( sQ38_spl
| sQ142_spl
| ~ sQ141_spl ),
inference(split_clause,[status(thm)],[f663,f1634,f1643,f948]) ).
fof(f1650,plain,
( ~ sQ142_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f664,f1634,f1643]) ).
fof(f1652,definition,
( sQ143_spl
<=> sP55_prd ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f1655,plain,
( sQ17_spl
| sQ143_spl
| ~ sQ142_spl ),
inference(split_clause,[status(thm)],[f669,f1643,f1652,f880]) ).
fof(f1656,plain,
( ~ sQ20_spl
| sQ143_spl
| ~ sQ142_spl ),
inference(split_clause,[status(thm)],[f670,f1643,f1652,f890]) ).
fof(f1657,plain,
( sQ21_spl
| sQ143_spl
| ~ sQ142_spl ),
inference(split_clause,[status(thm)],[f671,f1643,f1652,f893]) ).
fof(f1659,plain,
( ~ sQ143_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f673,f1643,f1652]) ).
fof(f1661,definition,
( sQ144_spl
<=> sP56_prd ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f1664,plain,
( sQ17_spl
| sQ144_spl
| ~ sQ143_spl ),
inference(split_clause,[status(thm)],[f678,f1652,f1661,f880]) ).
fof(f1665,plain,
( ~ sQ20_spl
| sQ144_spl
| ~ sQ143_spl ),
inference(split_clause,[status(thm)],[f679,f1652,f1661,f890]) ).
fof(f1666,plain,
( sQ1_spl
| sQ144_spl
| ~ sQ143_spl ),
inference(split_clause,[status(thm)],[f680,f1652,f1661,f828]) ).
fof(f1667,plain,
( sQ4_spl
| sQ144_spl
| ~ sQ143_spl ),
inference(split_clause,[status(thm)],[f681,f1652,f1661,f838]) ).
fof(f1668,plain,
( ~ sQ144_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f682,f1652,f1661]) ).
fof(f1670,definition,
( sQ145_spl
<=> sP57_prd ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f1673,plain,
( sQ12_spl
| sQ145_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f687,f1661,f1670,f864]) ).
fof(f1674,plain,
( ~ sQ3_spl
| sQ145_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f688,f1661,f1670,f834]) ).
fof(f1675,plain,
( sQ60_spl
| sQ145_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f689,f1661,f1670,f1020]) ).
fof(f1676,plain,
( sQ51_spl
| sQ145_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f690,f1661,f1670,f990]) ).
fof(f1677,plain,
( ~ sQ145_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f691,f1661,f1670]) ).
fof(f1679,definition,
( sQ146_spl
<=> sP58_prd ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f1682,plain,
( sQ12_spl
| sQ146_spl
| ~ sQ145_spl ),
inference(split_clause,[status(thm)],[f696,f1670,f1679,f864]) ).
fof(f1683,plain,
( ~ sQ3_spl
| sQ146_spl
| ~ sQ145_spl ),
inference(split_clause,[status(thm)],[f697,f1670,f1679,f834]) ).
fof(f1684,plain,
( sQ40_spl
| sQ146_spl
| ~ sQ145_spl ),
inference(split_clause,[status(thm)],[f698,f1670,f1679,f955]) ).
fof(f1685,plain,
( sQ34_spl
| sQ146_spl
| ~ sQ145_spl ),
inference(split_clause,[status(thm)],[f699,f1670,f1679,f935]) ).
fof(f1686,plain,
( ~ sQ146_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f700,f1670,f1679]) ).
fof(f1687,plain,
( ~ sQ34_spl
| ~ sQ40_spl
| sQ3_spl
| ~ sQ12_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f701,f1670,f864,f834,f955,f935]) ).
fof(f1688,definition,
( sQ147_spl
<=> sP59_prd ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f1691,plain,
( sQ12_spl
| sQ147_spl
| ~ sQ146_spl ),
inference(split_clause,[status(thm)],[f705,f1679,f1688,f864]) ).
fof(f1692,plain,
( ~ sQ3_spl
| sQ147_spl
| ~ sQ146_spl ),
inference(split_clause,[status(thm)],[f706,f1679,f1688,f834]) ).
fof(f1693,plain,
( sQ20_spl
| sQ147_spl
| ~ sQ146_spl ),
inference(split_clause,[status(thm)],[f707,f1679,f1688,f890]) ).
fof(f1694,plain,
( sQ17_spl
| sQ147_spl
| ~ sQ146_spl ),
inference(split_clause,[status(thm)],[f708,f1679,f1688,f880]) ).
fof(f1695,plain,
( ~ sQ147_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f709,f1679,f1688]) ).
fof(f1696,plain,
( ~ sQ17_spl
| ~ sQ20_spl
| sQ3_spl
| ~ sQ12_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f710,f1679,f864,f834,f890,f880]) ).
fof(f1697,definition,
( sQ148_spl
<=> sP60_prd ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f1700,plain,
( sQ12_spl
| sQ148_spl
| ~ sQ147_spl ),
inference(split_clause,[status(thm)],[f714,f1688,f1697,f864]) ).
fof(f1701,plain,
( ~ sQ3_spl
| sQ148_spl
| ~ sQ147_spl ),
inference(split_clause,[status(thm)],[f715,f1688,f1697,f834]) ).
fof(f1702,plain,
( sQ0_spl
| sQ148_spl
| ~ sQ147_spl ),
inference(split_clause,[status(thm)],[f716,f1688,f1697,f825]) ).
fof(f1704,plain,
( ~ sQ148_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f718,f1688,f1697]) ).
fof(f1706,definition,
( sQ149_spl
<=> sP61_prd ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f1709,plain,
( sQ8_spl
| sQ149_spl
| ~ sQ148_spl ),
inference(split_clause,[status(thm)],[f723,f1697,f1706,f851]) ).
fof(f1710,plain,
( ~ sQ2_spl
| sQ149_spl
| ~ sQ148_spl ),
inference(split_clause,[status(thm)],[f724,f1697,f1706,f831]) ).
fof(f1711,plain,
( sQ60_spl
| sQ149_spl
| ~ sQ148_spl ),
inference(split_clause,[status(thm)],[f725,f1697,f1706,f1020]) ).
fof(f1712,plain,
( sQ51_spl
| sQ149_spl
| ~ sQ148_spl ),
inference(split_clause,[status(thm)],[f726,f1697,f1706,f990]) ).
fof(f1713,plain,
( ~ sQ149_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f727,f1697,f1706]) ).
fof(f1715,definition,
( sQ150_spl
<=> sP62_prd ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f1718,plain,
( sQ8_spl
| sQ150_spl
| ~ sQ149_spl ),
inference(split_clause,[status(thm)],[f732,f1706,f1715,f851]) ).
fof(f1719,plain,
( ~ sQ2_spl
| sQ150_spl
| ~ sQ149_spl ),
inference(split_clause,[status(thm)],[f733,f1706,f1715,f831]) ).
fof(f1720,plain,
( sQ40_spl
| sQ150_spl
| ~ sQ149_spl ),
inference(split_clause,[status(thm)],[f734,f1706,f1715,f955]) ).
fof(f1721,plain,
( sQ34_spl
| sQ150_spl
| ~ sQ149_spl ),
inference(split_clause,[status(thm)],[f735,f1706,f1715,f935]) ).
fof(f1722,plain,
( ~ sQ150_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f736,f1706,f1715]) ).
fof(f1724,definition,
( sQ151_spl
<=> sP63_prd ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f1727,plain,
( sQ8_spl
| sQ151_spl
| ~ sQ150_spl ),
inference(split_clause,[status(thm)],[f741,f1715,f1724,f851]) ).
fof(f1728,plain,
( ~ sQ2_spl
| sQ151_spl
| ~ sQ150_spl ),
inference(split_clause,[status(thm)],[f742,f1715,f1724,f831]) ).
fof(f1729,plain,
( sQ20_spl
| sQ151_spl
| ~ sQ150_spl ),
inference(split_clause,[status(thm)],[f743,f1715,f1724,f890]) ).
fof(f1730,plain,
( sQ17_spl
| sQ151_spl
| ~ sQ150_spl ),
inference(split_clause,[status(thm)],[f744,f1715,f1724,f880]) ).
fof(f1731,plain,
( ~ sQ151_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f745,f1715,f1724]) ).
fof(f1733,definition,
( sQ152_spl
<=> sP64_prd ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f1736,plain,
( sQ8_spl
| sQ152_spl
| ~ sQ151_spl ),
inference(split_clause,[status(thm)],[f750,f1724,f1733,f851]) ).
fof(f1737,plain,
( ~ sQ2_spl
| sQ152_spl
| ~ sQ151_spl ),
inference(split_clause,[status(thm)],[f751,f1724,f1733,f831]) ).
fof(f1738,plain,
( sQ0_spl
| sQ152_spl
| ~ sQ151_spl ),
inference(split_clause,[status(thm)],[f752,f1724,f1733,f825]) ).
fof(f1740,plain,
( ~ sQ152_spl
| sQ151_spl ),
inference(split_clause,[status(thm)],[f754,f1724,f1733]) ).
fof(f1742,definition,
( sQ153_spl
<=> sP65_prd ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f1745,plain,
( sQ4_spl
| sQ153_spl
| ~ sQ152_spl ),
inference(split_clause,[status(thm)],[f759,f1733,f1742,f838]) ).
fof(f1746,plain,
( ~ sQ1_spl
| sQ153_spl
| ~ sQ152_spl ),
inference(split_clause,[status(thm)],[f760,f1733,f1742,f828]) ).
fof(f1747,plain,
( sQ60_spl
| sQ153_spl
| ~ sQ152_spl ),
inference(split_clause,[status(thm)],[f761,f1733,f1742,f1020]) ).
fof(f1748,plain,
( sQ51_spl
| sQ153_spl
| ~ sQ152_spl ),
inference(split_clause,[status(thm)],[f762,f1733,f1742,f990]) ).
fof(f1749,plain,
( ~ sQ153_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f763,f1733,f1742]) ).
fof(f1751,definition,
( sQ154_spl
<=> sP66_prd ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f1754,plain,
( sQ4_spl
| sQ154_spl
| ~ sQ153_spl ),
inference(split_clause,[status(thm)],[f768,f1742,f1751,f838]) ).
fof(f1755,plain,
( ~ sQ1_spl
| sQ154_spl
| ~ sQ153_spl ),
inference(split_clause,[status(thm)],[f769,f1742,f1751,f828]) ).
fof(f1756,plain,
( sQ40_spl
| sQ154_spl
| ~ sQ153_spl ),
inference(split_clause,[status(thm)],[f770,f1742,f1751,f955]) ).
fof(f1757,plain,
( sQ34_spl
| sQ154_spl
| ~ sQ153_spl ),
inference(split_clause,[status(thm)],[f771,f1742,f1751,f935]) ).
fof(f1758,plain,
( ~ sQ154_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f772,f1742,f1751]) ).
fof(f1759,plain,
( ~ sQ34_spl
| ~ sQ40_spl
| sQ1_spl
| ~ sQ4_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f773,f1742,f838,f828,f955,f935]) ).
fof(f1760,definition,
( sQ155_spl
<=> sP67_prd ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f1763,plain,
( sQ4_spl
| sQ155_spl
| ~ sQ154_spl ),
inference(split_clause,[status(thm)],[f777,f1751,f1760,f838]) ).
fof(f1764,plain,
( ~ sQ1_spl
| sQ155_spl
| ~ sQ154_spl ),
inference(split_clause,[status(thm)],[f778,f1751,f1760,f828]) ).
fof(f1765,plain,
( sQ20_spl
| sQ155_spl
| ~ sQ154_spl ),
inference(split_clause,[status(thm)],[f779,f1751,f1760,f890]) ).
fof(f1766,plain,
( sQ17_spl
| sQ155_spl
| ~ sQ154_spl ),
inference(split_clause,[status(thm)],[f780,f1751,f1760,f880]) ).
fof(f1767,plain,
( ~ sQ155_spl
| sQ154_spl ),
inference(split_clause,[status(thm)],[f781,f1751,f1760]) ).
fof(f1769,definition,
( sQ156_spl
<=> sP68_prd ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f1772,plain,
( sQ4_spl
| sQ156_spl
| ~ sQ155_spl ),
inference(split_clause,[status(thm)],[f786,f1760,f1769,f838]) ).
fof(f1773,plain,
( ~ sQ1_spl
| sQ156_spl
| ~ sQ155_spl ),
inference(split_clause,[status(thm)],[f787,f1760,f1769,f828]) ).
fof(f1774,plain,
( sQ0_spl
| sQ156_spl
| ~ sQ155_spl ),
inference(split_clause,[status(thm)],[f788,f1760,f1769,f825]) ).
fof(f1776,plain,
( ~ sQ156_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f790,f1760,f1769]) ).
fof(f1778,definition,
( sQ157_spl
<=> sP69_prd ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f1781,plain,
( sQ0_spl
| sQ157_spl
| ~ sQ156_spl ),
inference(split_clause,[status(thm)],[f795,f1769,f1778,f825]) ).
fof(f1782,plain,
( ~ sQ0_spl
| sQ157_spl
| ~ sQ156_spl ),
inference(split_clause,[status(thm)],[f796,f1769,f1778,f825]) ).
fof(f1783,plain,
( sQ60_spl
| sQ157_spl
| ~ sQ156_spl ),
inference(split_clause,[status(thm)],[f797,f1769,f1778,f1020]) ).
fof(f1785,plain,
( ~ sQ157_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f799,f1769,f1778]) ).
fof(f1787,definition,
( sQ158_spl
<=> sP70_prd ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f1790,plain,
( sQ0_spl
| sQ158_spl
| ~ sQ157_spl ),
inference(split_clause,[status(thm)],[f804,f1778,f1787,f825]) ).
fof(f1791,plain,
( ~ sQ0_spl
| sQ158_spl
| ~ sQ157_spl ),
inference(split_clause,[status(thm)],[f805,f1778,f1787,f825]) ).
fof(f1794,plain,
( ~ sQ158_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f808,f1778,f1787]) ).
fof(f1796,definition,
( sQ159_spl
<=> sP71_prd ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f1799,plain,
( sQ0_spl
| sQ159_spl
| ~ sQ158_spl ),
inference(split_clause,[status(thm)],[f813,f1787,f1796,f825]) ).
fof(f1800,plain,
( ~ sQ0_spl
| sQ159_spl
| ~ sQ158_spl ),
inference(split_clause,[status(thm)],[f814,f1787,f1796,f825]) ).
fof(f1803,plain,
( ~ sQ159_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f817,f1787,f1796]) ).
fof(f1805,plain,
( sQ0_spl
| ~ sQ159_spl ),
inference(split_clause,[status(thm)],[f820,f1796,f825]) ).
fof(f1806,plain,
( ~ sQ0_spl
| ~ sQ159_spl ),
inference(split_clause,[status(thm)],[f821,f1796,f825]) ).
fof(f1810,plain,
( ~ sQ30_spl
| ~ sQ31_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f926,f923]) ).
fof(f1811,plain,
( ~ sQ30_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1810,f131]) ).
fof(f1812,plain,
( ~ sQ30_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f1811]) ).
fof(f1813,plain,
( ~ sQ14_spl
| ~ sQ15_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f874,f871]) ).
fof(f1814,plain,
( ~ sQ14_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1813,f131]) ).
fof(f1815,plain,
( ~ sQ14_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f1814]) ).
fof(f1817,plain,
( ~ sQ47_spl
| op(e0,e3) != e3 ),
inference(forward_demodulation,[status(thm)],[f978,f97]) ).
fof(f1818,plain,
( ~ sQ47_spl
| op(e1,e3) != e3 ),
inference(forward_demodulation,[status(thm)],[f978,f99]) ).
fof(f1819,plain,
( ~ sQ58_spl
| op(e2,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f1014,f95]) ).
fof(f1820,plain,
( ~ sQ58_spl
| op(e1,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f1014,f94]) ).
fof(f1821,plain,
( ~ sQ58_spl
| op(e0,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f1014,f92]) ).
fof(f1822,plain,
( ~ sQ54_spl
| op(e2,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f1001,f89]) ).
fof(f1823,plain,
( ~ sQ54_spl
| op(e1,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f1001,f88]) ).
fof(f1824,plain,
( ~ sQ54_spl
| op(e0,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f1001,f86]) ).
fof(f1825,plain,
( ~ sQ50_spl
| op(e2,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f988,f83]) ).
fof(f1826,plain,
( ~ sQ50_spl
| op(e1,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f988,f82]) ).
fof(f1827,plain,
( ~ sQ50_spl
| op(e0,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f988,f80]) ).
fof(f1828,plain,
( ~ sQ45_spl
| ~ sQ47_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f978,f972]) ).
fof(f1829,plain,
( ~ sQ45_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1828,f130]) ).
fof(f1830,plain,
( ~ sQ45_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f1829]) ).
fof(f1831,plain,
( ~ sQ13_spl
| e1 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f868,f98]) ).
fof(f1832,plain,
( ~ sQ13_spl
| e1 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f868,f96]) ).
fof(f1833,plain,
( ~ sQ57_spl
| ~ sQ58_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f1014,f1011]) ).
fof(f1834,plain,
( ~ sQ57_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1833,f129]) ).
fof(f1835,plain,
( ~ sQ57_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f1834]) ).
fof(f1836,plain,
( ~ sQ53_spl
| ~ sQ54_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f1001,f998]) ).
fof(f1837,plain,
( ~ sQ53_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1836,f129]) ).
fof(f1838,plain,
( ~ sQ53_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f1837]) ).
fof(f1839,plain,
( ~ sQ49_spl
| ~ sQ50_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f988,f985]) ).
fof(f1840,plain,
( ~ sQ49_spl
| ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1839,f129]) ).
fof(f1841,plain,
( ~ sQ49_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f1840]) ).
fof(f1842,plain,
( ~ sQ44_spl
| e0 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f969,f101]) ).
fof(f1843,plain,
( ~ sQ28_spl
| e0 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f917,f100]) ).
fof(f1846,plain,
( ~ sQ11_spl
| e3 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f861,f91]) ).
fof(f1847,plain,
( ~ sQ11_spl
| op(e0,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f861,f103]) ).
fof(f1848,plain,
( ~ sQ39_spl
| op(e1,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f952,f87]) ).
fof(f1849,plain,
( ~ sQ39_spl
| op(e0,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f952,f85]) ).
fof(f1850,plain,
( ~ sQ35_spl
| op(e1,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f939,f81]) ).
fof(f1851,plain,
( ~ sQ35_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f939,f79]) ).
fof(f1852,plain,
( ~ sQ26_spl
| ~ sQ27_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f913,f910]) ).
fof(f1853,plain,
( ~ sQ26_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1852,f131]) ).
fof(f1854,plain,
( ~ sQ26_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f1853]) ).
fof(f1855,plain,
( ~ sQ11_spl
| e3 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f861,f90]) ).
fof(f1856,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f861,f858]) ).
fof(f1857,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1856,f131]) ).
fof(f1858,plain,
( ~ sQ10_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f1857]) ).
fof(f1859,plain,
( ~ sQ38_spl
| ~ sQ39_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f952,f949]) ).
fof(f1860,plain,
( ~ sQ38_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1859,f131]) ).
fof(f1861,plain,
( ~ sQ38_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f1860]) ).
fof(f1862,plain,
( ~ sQ51_spl
| ~ sQ48_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f982,f991]) ).
fof(f1863,plain,
( ~ sQ51_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1862,f128]) ).
fof(f1864,plain,
( ~ sQ51_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f1863]) ).
fof(f1869,plain,
( ~ sQ13_spl
| op(e0,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f868,f104]) ).
fof(f1870,plain,
( ~ sQ13_spl
| op(e0,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f868,f106]) ).
fof(f1871,plain,
( ~ sQ13_spl
| op(e0,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f868,f107]) ).
fof(f1872,plain,
( ~ sQ28_spl
| op(e1,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f917,f110]) ).
fof(f1873,plain,
( ~ sQ28_spl
| op(e1,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f917,f112]) ).
fof(f1874,plain,
( ~ sQ9_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f855,f1871]) ).
fof(f1875,plain,
( ~ sQ9_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f1874]) ).
fof(f1878,plain,
( ~ sQ29_spl
| ~ sQ28_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f917,f920]) ).
fof(f1879,plain,
( ~ sQ29_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1878,f126]) ).
fof(f1880,plain,
( ~ sQ29_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f1879]) ).
fof(f1881,plain,
( ~ sQ33_spl
| ~ sQ35_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f939,f933]) ).
fof(f1882,plain,
( ~ sQ33_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1881,f130]) ).
fof(f1883,plain,
( ~ sQ33_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f1882]) ).
fof(f1884,plain,
( ~ sQ59_spl
| ~ sQ56_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f1008,f1017]) ).
fof(f1885,plain,
( ~ sQ59_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1884,f128]) ).
fof(f1886,plain,
( ~ sQ59_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f1885]) ).
fof(f1887,plain,
( ~ sQ37_spl
| op(e2,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f946,f114]) ).
fof(f1888,plain,
( ~ sQ44_spl
| op(e2,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f969,f116]) ).
fof(f1889,plain,
( ~ sQ37_spl
| e1 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f946,f117]) ).
fof(f1890,plain,
( ~ sQ37_spl
| e1 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f946,f118]) ).
fof(f1892,plain,
( ~ sQ44_spl
| op(e2,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f969,f119]) ).
fof(f1893,plain,
( ~ sQ52_spl
| op(e3,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f995,f120]) ).
fof(f1894,plain,
( ~ sQ24_spl
| e0 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f904,f113]) ).
fof(f1895,plain,
( ~ sQ24_spl
| op(e1,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f904,f111]) ).
fof(f1896,plain,
( ~ sQ24_spl
| op(e1,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f904,f109]) ).
fof(f1897,plain,
( ~ sQ36_spl
| ~ sQ37_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f946,f943]) ).
fof(f1898,plain,
( ~ sQ36_spl
| ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1897,f126]) ).
fof(f1899,plain,
( ~ sQ36_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f1898]) ).
fof(f1900,plain,
( ~ sQ44_spl
| op(e2,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f969,f118]) ).
fof(f1901,plain,
( ~ sQ32_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f930,f1888]) ).
fof(f1902,plain,
( ~ sQ32_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f1901]) ).
fof(f1903,plain,
( ~ sQ13_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1869,f828,f867]) ).
fof(f1904,plain,
( ~ sQ48_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f982,f1893]) ).
fof(f1905,plain,
( ~ sQ48_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f1904]) ).
fof(f1906,plain,
( ~ sQ7_spl
| e3 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f848,f105]) ).
fof(f1907,plain,
( ~ sQ7_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f848,f102]) ).
fof(f1908,plain,
( ~ sQ7_spl
| e3 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f848,f84]) ).
fof(f1909,plain,
( ~ sQ19_spl
| e3 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f887,f108]) ).
fof(f1910,plain,
( ~ sQ19_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f887,f78]) ).
fof(f1911,plain,
( ~ sQ6_spl
| ~ sQ7_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f848,f845]) ).
fof(f1912,plain,
( ~ sQ6_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1911,f131]) ).
fof(f1913,plain,
( ~ sQ6_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f1912]) ).
fof(f1914,plain,
( ~ sQ18_spl
| ~ sQ19_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f887,f884]) ).
fof(f1915,plain,
( ~ sQ18_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1914,f131]) ).
fof(f1916,plain,
( ~ sQ18_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f1915]) ).
fof(f1917,plain,
( ~ sQ58_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f1819,f961,f1013]) ).
fof(f1919,plain,
( ~ sQ54_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f1822,f948,f1000]) ).
fof(f1920,plain,
( ~ sQ54_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f1823,f896,f1000]) ).
fof(f1922,plain,
( ~ sQ27_spl
| ~ sQ24_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f904,f913]) ).
fof(f1923,plain,
( ~ sQ27_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1922,f128]) ).
fof(f1924,plain,
( ~ sQ27_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f1923]) ).
fof(f1925,plain,
( ~ sQ55_spl
| e3 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f1004,f124]) ).
fof(f1926,plain,
( ~ sQ55_spl
| e3 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f1004,f123]) ).
fof(f1927,plain,
( ~ sQ63_spl
| op(e3,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f1030,f125]) ).
fof(f1928,plain,
( ~ sQ63_spl
| op(e3,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f1030,f122]) ).
fof(f1929,plain,
( sQ87_spl
| ~ sQ3_spl
| e3 != op(op(e0,e0),e3) ),
inference(backward_demodulation,[status(thm)],[f835,f1163]) ).
fof(f1930,plain,
( sQ83_spl
| ~ sQ3_spl
| e1 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f835,f1146]) ).
fof(f1931,plain,
( sQ87_spl
| ~ sQ3_spl
| e3 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f835,f1929]) ).
fof(f1932,plain,
( sQ87_spl
| ~ sQ3_spl
| ~ sQ63_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f1030,f1931]) ).
fof(f1933,plain,
( sQ87_spl
| ~ sQ3_spl
| ~ sQ63_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1932]) ).
fof(f1934,plain,
( sQ87_spl
| ~ sQ3_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f1933]) ).
fof(f1935,plain,
( sQ77_spl
| ~ sQ3_spl
| e2 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f835,f1122]) ).
fof(f1936,plain,
( sQ71_spl
| ~ sQ43_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f965,f1100]) ).
fof(f1937,plain,
( sQ89_spl
| ~ sQ43_spl
| e3 != op(op(e2,e2),e3) ),
inference(backward_demodulation,[status(thm)],[f965,f1173]) ).
fof(f1938,plain,
( sQ79_spl
| ~ sQ43_spl
| e0 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f965,f1130]) ).
fof(f1939,plain,
( ~ sQ43_spl
| op(e2,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f965,f115]) ).
fof(f1940,plain,
( sQ89_spl
| ~ sQ43_spl
| e3 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f965,f1937]) ).
fof(f1941,plain,
( sQ79_spl
| ~ sQ43_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f1938,f1007,f964,f1128]) ).
fof(f1942,plain,
( ~ sQ11_spl
| ~ sQ43_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f965,f1846]) ).
fof(f1943,plain,
( ~ sQ11_spl
| ~ sQ43_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1942]) ).
fof(f1944,plain,
( ~ sQ11_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f1943]) ).
fof(f1952,plain,
( ~ sQ49_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f985,f121]) ).
fof(f1953,plain,
( ~ sQ49_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f1952,f1010,f984]) ).
fof(f1961,plain,
( ~ sQ3_spl
| ~ sQ0_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f826,f835]) ).
fof(f1962,plain,
( ~ sQ3_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1961,f128]) ).
fof(f1963,plain,
( ~ sQ3_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f1962]) ).
fof(f1964,plain,
( ~ sQ18_spl
| ~ sQ16_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f878,f884]) ).
fof(f1965,plain,
( ~ sQ18_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1964,f127]) ).
fof(f1966,plain,
( ~ sQ18_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f1965]) ).
fof(f1967,plain,
( ~ sQ52_spl
| ~ sQ55_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f1004,f995]) ).
fof(f1968,plain,
( ~ sQ52_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1967,f128]) ).
fof(f1969,plain,
( ~ sQ52_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f1968]) ).
fof(f1970,plain,
( ~ sQ63_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f1927,f1016,f1029]) ).
fof(f1971,plain,
( ~ sQ50_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f1825,f935,f987]) ).
fof(f1972,plain,
( ~ sQ7_spl
| ~ sQ5_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f842,f848]) ).
fof(f1973,plain,
( ~ sQ7_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1972,f130]) ).
fof(f1974,plain,
( ~ sQ7_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f1973]) ).
fof(f1975,plain,
( ~ sQ55_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f1925,f1029,f1003]) ).
fof(f1976,plain,
( ~ sQ44_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f1842,f1020,f968]) ).
fof(f1977,plain,
( ~ sQ44_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f1892,f955,f968]) ).
fof(f1978,plain,
( ~ sQ53_spl
| op(e0,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f998,f86]) ).
fof(f1979,plain,
( ~ sQ53_spl
| op(e1,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f998,f88]) ).
fof(f1980,plain,
( ~ sQ53_spl
| op(e2,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f998,f89]) ).
fof(f1981,plain,
( ~ sQ53_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f1979,f893,f997]) ).
fof(f1982,plain,
( ~ sQ53_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f1980,f945,f997]) ).
fof(f1983,plain,
( ~ sQ37_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1887,f932,f945]) ).
fof(f1984,plain,
( ~ sQ28_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f1872,f877,f916]) ).
fof(f1985,plain,
( ~ sQ28_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f1873,f890,f916]) ).
fof(f1986,plain,
( ~ sQ63_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f1928,f990,f1029]) ).
fof(f1987,plain,
( sQ89_spl
| ~ sQ43_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f1940,f1029,f964,f1171]) ).
fof(f1988,plain,
( ~ sQ52_spl
| ~ sQ53_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f998,f995]) ).
fof(f1989,plain,
( ~ sQ52_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1988,f126]) ).
fof(f1990,plain,
( ~ sQ52_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f1989]) ).
fof(f1991,plain,
( ~ sQ7_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f1908,f899,f847]) ).
fof(f1992,plain,
( ~ sQ24_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f1894,f916,f903]) ).
fof(f1993,plain,
( ~ sQ39_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f1849,f847,f951]) ).
fof(f1994,plain,
( ~ sQ50_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f1827,f831,f987]) ).
fof(f1995,plain,
( sQ71_spl
| ~ sQ43_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f1936,f1010,f964,f1098]) ).
fof(f1996,plain,
( ~ sQ43_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f1939,f938,f964]) ).
fof(f1997,plain,
( ~ sQ47_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f1818,f925,f977]) ).
fof(f1998,plain,
( ~ sQ58_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f1820,f909,f1013]) ).
fof(f1999,plain,
( ~ sQ44_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f1900,f942,f968]) ).
fof(f2000,plain,
( ~ sQ39_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f1848,f899,f951]) ).
fof(f2001,plain,
( ~ sQ14_spl
| e2 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f871,f98]) ).
fof(f2002,plain,
( ~ sQ14_spl
| op(e0,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f871,f104]) ).
fof(f2003,plain,
( ~ sQ14_spl
| op(e0,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f871,f106]) ).
fof(f2004,plain,
( ~ sQ14_spl
| op(e0,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f871,f107]) ).
fof(f2006,plain,
( ~ sQ14_spl
| e2 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f871,f97]) ).
fof(f2007,plain,
( ~ sQ14_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2004,f857,f870]) ).
fof(f2008,plain,
( ~ sQ14_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f2006,f974,f870]) ).
fof(f2010,plain,
( ~ sQ48_spl
| op(e0,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f982,f80]) ).
fof(f2011,plain,
( ~ sQ48_spl
| op(e1,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f982,f82]) ).
fof(f2012,plain,
( ~ sQ48_spl
| op(e2,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f982,f83]) ).
fof(f2013,plain,
( ~ sQ9_spl
| e1 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f855,f91]) ).
fof(f2014,plain,
( ~ sQ9_spl
| op(e0,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f855,f103]) ).
fof(f2015,plain,
( ~ sQ9_spl
| e1 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f855,f90]) ).
fof(f2016,plain,
( ~ sQ9_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f855,f92]) ).
fof(f2017,plain,
( ~ sQ9_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f2014,f828,f854]) ).
fof(f2018,plain,
( ~ sQ35_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1851,f834,f938]) ).
fof(f2019,plain,
( ~ sQ11_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1847,f834,f860]) ).
fof(f2021,plain,
( ~ sQ55_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f1926,f1016,f1003]) ).
fof(f2022,plain,
( ~ sQ9_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f2013,f958,f854]) ).
fof(f2023,plain,
( ~ sQ9_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f2015,f906,f854]) ).
fof(f2024,plain,
( ~ sQ24_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f1895,f890,f903]) ).
fof(f2025,plain,
( ~ sQ50_spl
| ~ sQ48_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f982,f988]) ).
fof(f2026,plain,
( ~ sQ50_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2025,f127]) ).
fof(f2027,plain,
( ~ sQ50_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f2026]) ).
fof(f2028,plain,
( sQ83_spl
| ~ sQ3_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f1930,f984,f834,f1144]) ).
fof(f2029,plain,
( ~ sQ19_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1910,f834,f886]) ).
fof(f2030,plain,
( ~ sQ13_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f1831,f1023,f867]) ).
fof(f2031,plain,
( ~ sQ13_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1870,f841,f867]) ).
fof(f2032,plain,
( ~ sQ46_spl
| e2 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f975,f101]) ).
fof(f2033,plain,
( ~ sQ46_spl
| op(e2,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f975,f116]) ).
fof(f2034,plain,
( ~ sQ46_spl
| op(e2,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f975,f119]) ).
fof(f2035,plain,
( ~ sQ46_spl
| op(e2,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f975,f118]) ).
fof(f2036,plain,
( ~ sQ46_spl
| op(e1,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f975,f99]) ).
fof(f2037,plain,
( ~ sQ46_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f2032,f1026,f974]) ).
fof(f2038,plain,
( ~ sQ50_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f1826,f883,f987]) ).
fof(f2039,plain,
( ~ sQ47_spl
| ~ sQ46_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f975,f978]) ).
fof(f2040,plain,
( ~ sQ47_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2039,f131]) ).
fof(f2041,plain,
( ~ sQ47_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f2040]) ).
fof(f2042,plain,
( ~ sQ47_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f1817,f873,f977]) ).
fof(f2043,plain,
( sQ77_spl
| ~ sQ3_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f1935,f987,f834,f1120]) ).
fof(f2044,plain,
( ~ sQ53_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1978,f841,f997]) ).
fof(f2045,plain,
( ~ sQ19_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f1909,f899,f886]) ).
fof(f2046,plain,
( ~ sQ11_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f1855,f912,f860]) ).
fof(f2047,plain,
( ~ sQ46_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f2033,f935,f974]) ).
fof(f2048,plain,
( ~ sQ46_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f2036,f922,f974]) ).
fof(f2049,plain,
( ~ sQ37_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f1890,f971,f945]) ).
fof(f2050,plain,
( ~ sQ48_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f2010,f825,f981]) ).
fof(f2051,plain,
( ~ sQ13_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f1832,f919,f867]) ).
fof(f2052,plain,
( ~ sQ46_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f2035,f948,f974]) ).
fof(f2053,plain,
( ~ sQ9_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f2016,f1010,f854]) ).
fof(f2054,plain,
( ~ sQ24_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f1896,f877,f903]) ).
fof(f2055,plain,
( ~ sQ48_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f2012,f929,f981]) ).
fof(f2056,plain,
( ~ sQ32_spl
| e0 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f930,f115]) ).
fof(f2057,plain,
( ~ sQ32_spl
| e0 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f930,f114]) ).
fof(f2058,plain,
( ~ sQ32_spl
| op(e0,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f930,f79]) ).
fof(f2059,plain,
( ~ sQ32_spl
| op(e1,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f930,f81]) ).
fof(f2060,plain,
( ~ sQ32_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f2056,f955,f929]) ).
fof(f2061,plain,
( ~ sQ32_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f2057,f942,f929]) ).
fof(f2062,plain,
( ~ sQ32_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f2058,f825,f929]) ).
fof(f2063,plain,
( ~ sQ33_spl
| ~ sQ32_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f930,f933]) ).
fof(f2064,plain,
( ~ sQ33_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2063,f126]) ).
fof(f2065,plain,
( ~ sQ33_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f2064]) ).
fof(f2067,plain,
( ~ sQ4_spl
| e0 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f839,f106]) ).
fof(f2068,plain,
( ~ sQ4_spl
| e0 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f839,f86]) ).
fof(f2069,plain,
( ~ sQ4_spl
| e0 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f839,f84]) ).
fof(f2070,plain,
( ~ sQ4_spl
| op(e0,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f839,f102]) ).
fof(f2071,plain,
( ~ sQ4_spl
| e0 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f839,f105]) ).
fof(f2072,plain,
( ~ sQ4_spl
| e0 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f839,f85]) ).
fof(f2073,plain,
( ~ sQ4_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f2067,f864,f838]) ).
fof(f2074,plain,
( ~ sQ4_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f2068,f994,f838]) ).
fof(f2075,plain,
( ~ sQ4_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f2072,f942,f838]) ).
fof(f2077,plain,
( ~ sQ7_spl
| ~ sQ4_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f839,f848]) ).
fof(f2078,plain,
( ~ sQ7_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2077,f128]) ).
fof(f2079,plain,
( ~ sQ7_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f2078]) ).
fof(f2081,plain,
( ~ sQ6_spl
| ~ sQ4_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f839,f845]) ).
fof(f2082,plain,
( ~ sQ6_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2081,f127]) ).
fof(f2083,plain,
( ~ sQ6_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f2082]) ).
fof(f2084,plain,
( ~ sQ8_spl
| e0 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f852,f92]) ).
fof(f2086,plain,
( ~ sQ8_spl
| op(e0,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f852,f103]) ).
fof(f2087,plain,
( ~ sQ8_spl
| e0 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f852,f91]) ).
fof(f2088,plain,
( ~ sQ8_spl
| e0 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f852,f107]) ).
fof(f2089,plain,
( ~ sQ8_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f2084,f1007,f851]) ).
fof(f2090,plain,
( ~ sQ8_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f2086,f825,f851]) ).
fof(f2091,plain,
( ~ sQ8_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f2088,f864,f851]) ).
fof(f2092,plain,
( ~ sQ46_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f2034,f961,f974]) ).
fof(f2094,plain,
( ~ sQ28_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f1843,f1020,f916]) ).
fof(f2095,plain,
( ~ sQ10_spl
| ~ sQ8_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f852,f858]) ).
fof(f2096,plain,
( ~ sQ10_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2095,f127]) ).
fof(f2097,plain,
( ~ sQ10_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f2096]) ).
fof(f2099,plain,
( ~ sQ21_spl
| e1 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f894,f111]) ).
fof(f2100,plain,
( ~ sQ21_spl
| op(e1,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f894,f108]) ).
fof(f2101,plain,
( ~ sQ21_spl
| e1 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f894,f112]) ).
fof(f2102,plain,
( ~ sQ21_spl
| e1 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f894,f87]) ).
fof(f2104,plain,
( ~ sQ26_spl
| op(e1,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f910,f109]) ).
fof(f2106,plain,
( ~ sQ26_spl
| e2 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f910,f93]) ).
fof(f2118,plain,
( ~ sQ21_spl
| op(e0,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f894,f84]) ).
fof(f2120,plain,
( sQ69_spl
| ~ sQ43_spl
| e0 != op(op(e2,e2),e3) ),
inference(backward_demodulation,[status(thm)],[f965,f1093]) ).
fof(f2121,plain,
( sQ78_spl
| ~ sQ43_spl
| e1 != op(op(e2,e2),e3) ),
inference(backward_demodulation,[status(thm)],[f965,f1126]) ).
fof(f2122,plain,
( ~ sQ43_spl
| op(e2,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f965,f117]) ).
fof(f2123,plain,
( ~ sQ43_spl
| e3 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f965,f95]) ).
fof(f2124,plain,
( sQ69_spl
| ~ sQ43_spl
| e0 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f965,f2120]) ).
fof(f2125,plain,
( sQ78_spl
| ~ sQ43_spl
| e1 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f965,f2121]) ).
fof(f2126,plain,
( ~ sQ43_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f2123,f1016,f964]) ).
fof(f2127,plain,
( ~ sQ4_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2071,f851,f838]) ).
fof(f2128,plain,
( ~ sQ14_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f2001,f1026,f870]) ).
fof(f2129,plain,
( ~ sQ14_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f2002,f831,f870]) ).
fof(f2130,plain,
( ~ sQ8_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f2087,f955,f851]) ).
fof(f2131,plain,
( sQ69_spl
| ~ sQ43_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f2124,f1020,f964,f1091]) ).
fof(f2132,plain,
( ~ sQ21_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f2102,f945,f893]) ).
fof(f2133,plain,
( ~ sQ21_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f2101,f919,f893]) ).
fof(f2134,plain,
( ~ sQ21_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f2100,f880,f893]) ).
fof(f2138,plain,
( sQ75_spl
| ~ sQ3_spl
| e1 != op(op(e0,e0),e3) ),
inference(backward_demodulation,[status(thm)],[f835,f1115]) ).
fof(f2139,plain,
( ~ sQ3_spl
| e3 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f835,f80]) ).
fof(f2140,plain,
( ~ sQ3_spl
| e3 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f835,f104]) ).
fof(f2142,plain,
( sQ75_spl
| ~ sQ3_spl
| e1 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f835,f2138]) ).
fof(f2145,plain,
( ~ sQ17_spl
| e1 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f881,f81]) ).
fof(f2146,plain,
( ~ sQ17_spl
| e1 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f881,f82]) ).
fof(f2147,plain,
( ~ sQ17_spl
| e1 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f881,f110]) ).
fof(f2148,plain,
( ~ sQ17_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f2146,f984,f880]) ).
fof(f2149,plain,
( ~ sQ21_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f2099,f906,f893]) ).
fof(f2150,plain,
( ~ sQ43_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f2122,f951,f964]) ).
fof(f2151,plain,
( ~ sQ7_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1907,f834,f847]) ).
fof(f2152,plain,
( ~ sQ26_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f2104,f883,f909]) ).
fof(f2153,plain,
( ~ sQ54_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f1824,f844,f1000]) ).
fof(f2158,plain,
( ~ sQ36_spl
| e0 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f943,f89]) ).
fof(f2161,plain,
( ~ sQ33_spl
| e1 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f933,f116]) ).
fof(f2163,plain,
( ~ sQ33_spl
| e1 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f933,f83]) ).
fof(f2164,plain,
( ~ sQ33_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f2161,f971,f932]) ).
fof(f2165,plain,
( ~ sQ33_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f2163,f984,f932]) ).
fof(f2166,plain,
( sQ75_spl
| ~ sQ3_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f2142,f1023,f834,f1113]) ).
fof(f2167,plain,
( ~ sQ3_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f2140,f873,f834]) ).
fof(f2168,plain,
( ~ sQ21_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f2118,f841,f893]) ).
fof(f2169,plain,
( ~ sQ17_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f2145,f932,f880]) ).
fof(f2170,plain,
( ~ sQ7_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1906,f860,f847]) ).
fof(f2171,plain,
( ~ sQ4_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f2070,f825,f838]) ).
fof(f2172,plain,
( ~ sQ17_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f2147,f919,f880]) ).
fof(f2173,plain,
( ~ sQ26_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f2106,f961,f909]) ).
fof(f2174,plain,
( ~ sQ58_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1821,f857,f1013]) ).
fof(f2177,plain,
( ~ sQ17_spl
| e1 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f881,f109]) ).
fof(f2179,plain,
( ~ sQ17_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f2177,f906,f880]) ).
fof(f2183,plain,
( ~ sQ13_spl
| e1 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f868,f97]) ).
fof(f2191,plain,
( ~ sQ8_spl
| e0 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f852,f90]) ).
fof(f2194,plain,
( ~ sQ8_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f2191,f903,f851]) ).
fof(f2195,plain,
( sQ78_spl
| ~ sQ43_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f2125,f1023,f964,f1124]) ).
fof(f2211,plain,
( ~ sQ43_spl
| op(e1,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f965,f93]) ).
fof(f2214,plain,
( ~ sQ43_spl
| e3 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f965,f119]) ).
fof(f2218,plain,
( ~ sQ7_spl
| e3 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f848,f86]) ).
fof(f2219,plain,
( ~ sQ7_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f2218,f1003,f847]) ).
fof(f2222,plain,
( ~ sQ34_spl
| e2 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f936,f114]) ).
fof(f2226,plain,
( ~ sQ34_spl
| op(e1,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f936,f81]) ).
fof(f2227,plain,
( ~ sQ34_spl
| op(e0,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f936,f79]) ).
fof(f2228,plain,
( ~ sQ34_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f2226,f883,f935]) ).
fof(f2229,plain,
( ~ sQ34_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f2227,f831,f935]) ).
fof(f2230,plain,
( ~ sQ36_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f2158,f994,f942]) ).
fof(f2231,plain,
( ~ sQ22_spl
| ~ sQ21_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f894,f897]) ).
fof(f2232,plain,
( ~ sQ22_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2231,f129]) ).
fof(f2233,plain,
( ~ sQ22_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f2232]) ).
fof(f2234,plain,
( ~ sQ4_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f2069,f890,f838]) ).
fof(f2239,plain,
( ~ sQ50_spl
| e2 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f988,f121]) ).
fof(f2240,plain,
( ~ sQ50_spl
| e2 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f988,f122]) ).
fof(f2241,plain,
( ~ sQ50_spl
| e2 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f988,f120]) ).
fof(f2242,plain,
( ~ sQ50_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f2241,f1000,f987]) ).
fof(f2243,plain,
( ~ sQ35_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f1850,f886,f938]) ).
fof(f2246,plain,
( ~ sQ57_spl
| op(e1,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f1011,f94]) ).
fof(f2247,plain,
( ~ sQ57_spl
| op(e3,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f1011,f123]) ).
fof(f2248,plain,
( ~ sQ57_spl
| e1 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f1011,f125]) ).
fof(f2249,plain,
( ~ sQ57_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f2247,f997,f1010]) ).
fof(f2251,plain,
( sQ72_spl
| ~ sQ60_spl
| e0 != op(op(e3,e3),e0) ),
inference(backward_demodulation,[status(thm)],[f1021,f1104]) ).
fof(f2252,plain,
( sQ86_spl
| ~ sQ60_spl
| e2 != op(op(e3,e3),e0) ),
inference(backward_demodulation,[status(thm)],[f1021,f1158]) ).
fof(f2253,plain,
( sQ80_spl
| ~ sQ60_spl
| e1 != op(op(e3,e3),e0) ),
inference(backward_demodulation,[status(thm)],[f1021,f1134]) ).
fof(f2255,plain,
( ~ sQ60_spl
| op(e3,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f1021,f124]) ).
fof(f2257,plain,
( sQ72_spl
| ~ sQ60_spl
| e0 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f1021,f2251]) ).
fof(f2258,plain,
( sQ86_spl
| ~ sQ60_spl
| e2 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f1021,f2252]) ).
fof(f2259,plain,
( sQ80_spl
| ~ sQ60_spl
| e1 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f1021,f2253]) ).
fof(f2265,plain,
( ~ sQ2_spl
| e2 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f832,f78]) ).
fof(f2268,plain,
( ~ sQ41_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f959,f95]) ).
fof(f2269,plain,
( ~ sQ41_spl
| op(e1,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f959,f93]) ).
fof(f2271,plain,
( ~ sQ41_spl
| op(e2,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f959,f115]) ).
fof(f2272,plain,
( sQ70_spl
| ~ sQ41_spl
| e3 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f959,f1096]) ).
fof(f2274,plain,
( ~ sQ41_spl
| e1 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f959,f119]) ).
fof(f2278,plain,
( ~ sQ2_spl
| e2 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f832,f102]) ).
fof(f2282,plain,
( ~ sQ7_spl
| e3 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f848,f106]) ).
fof(f2292,plain,
( sQ89_spl
| ~ sQ41_spl
| e3 != op(e1,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f959,f1173]) ).
fof(f2293,plain,
( sQ89_spl
| ~ sQ41_spl
| e3 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f959,f2292]) ).
fof(f2305,plain,
( ~ sQ35_spl
| e3 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f939,f83]) ).
fof(f2308,plain,
( ~ sQ35_spl
| e3 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f939,f116]) ).
fof(f2347,plain,
( ~ sQ31_spl
| op(e1,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f926,f110]) ).
fof(f2364,plain,
( sQ86_spl
| ~ sQ60_spl
| ~ sQ2_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f832,f2258]) ).
fof(f2365,plain,
( sQ86_spl
| ~ sQ60_spl
| ~ sQ2_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2364]) ).
fof(f2366,plain,
( sQ86_spl
| ~ sQ60_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f2365]) ).
fof(f2393,plain,
( ~ sQ26_spl
| op(e0,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f910,f90]) ).
fof(f2394,plain,
( ~ sQ51_spl
| ~ sQ49_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f985,f991]) ).
fof(f2395,plain,
( ~ sQ51_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2394,f130]) ).
fof(f2396,plain,
( ~ sQ51_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f2395]) ).
fof(f2399,plain,
( ~ sQ35_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f2308,f977,f938]) ).
fof(f2403,plain,
( ~ sQ16_spl
| op(e0,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f878,f78]) ).
fof(f2404,plain,
( ~ sQ57_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f2246,f906,f1010]) ).
fof(f2405,plain,
( ~ sQ57_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f2248,f1023,f1010]) ).
fof(f2410,plain,
( ~ sQ48_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f2011,f877,f981]) ).
fof(f2411,plain,
( sQ89_spl
| ~ sQ41_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f2293,f899,f958,f1171]) ).
fof(f2412,plain,
( sQ70_spl
| ~ sQ41_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f2272,f912,f958,f1094]) ).
fof(f2413,plain,
( ~ sQ41_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f2269,f906,f958]) ).
fof(f2414,plain,
( sQ72_spl
| ~ sQ60_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f2257,f825,f1020,f1102]) ).
fof(f2415,plain,
( ~ sQ2_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f2265,f883,f831]) ).
fof(f2416,plain,
( ~ sQ41_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f2268,f1010,f958]) ).
fof(f2417,plain,
( ~ sQ41_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f2271,f932,f958]) ).
fof(f2419,plain,
( ~ sQ26_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2393,f857,f909]) ).
fof(f2420,plain,
( ~ sQ14_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f2003,f844,f870]) ).
fof(f2421,plain,
( ~ sQ50_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f2240,f1026,f987]) ).
fof(f2422,plain,
( ~ sQ43_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f2211,f912,f964]) ).
fof(f2423,plain,
( ~ sQ7_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f2282,f873,f847]) ).
fof(f2425,plain,
( ~ sQ30_spl
| op(e0,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f923,f96]) ).
fof(f2426,plain,
( ~ sQ30_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f2425,f870,f922]) ).
fof(f2433,plain,
( ~ sQ34_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f2222,f948,f935]) ).
fof(f2438,plain,
( ~ sQ11_spl
| e3 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f861,f107]) ).
fof(f2442,plain,
( ~ sQ24_spl
| e0 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f904,f93]) ).
fof(f2444,plain,
( ~ sQ24_spl
| e0 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f904,f94]) ).
fof(f2445,plain,
( ~ sQ24_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f2444,f1007,f903]) ).
fof(f2446,plain,
( ~ sQ16_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f2403,f825,f877]) ).
fof(f2447,plain,
( ~ sQ41_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f2274,f971,f958]) ).
fof(f2448,plain,
( ~ sQ50_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f2239,f1013,f987]) ).
fof(f2449,plain,
( sQ80_spl
| ~ sQ60_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f2259,f828,f1020,f1132]) ).
fof(f2453,plain,
( ~ sQ60_spl
| op(e0,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f1021,f98]) ).
fof(f2454,plain,
( ~ sQ60_spl
| op(e3,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f1021,f125]) ).
fof(f2455,plain,
( sQ74_spl
| ~ sQ60_spl
| e1 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f1021,f1111]) ).
fof(f2457,plain,
( ~ sQ60_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f2454,f1007,f1020]) ).
fof(f2458,plain,
( ~ sQ35_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f2305,f990,f938]) ).
fof(f2459,plain,
( ~ sQ24_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f2442,f955,f903]) ).
fof(f2462,plain,
( ~ sQ0_spl
| e0 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f826,f104]) ).
fof(f2466,plain,
( ~ sQ0_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f2462,f864,f825]) ).
fof(f2467,plain,
( ~ sQ13_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f2183,f971,f867]) ).
fof(f2476,plain,
( ~ sQ49_spl
| e1 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f985,f120]) ).
fof(f2482,plain,
( ~ sQ38_spl
| op(e0,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f949,f85]) ).
fof(f2486,plain,
( ~ sQ38_spl
| op(e1,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f949,f87]) ).
fof(f2487,plain,
( ~ sQ38_spl
| e2 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f949,f117]) ).
fof(f2488,plain,
( ~ sQ38_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f2482,f844,f948]) ).
fof(f2489,plain,
( ~ sQ38_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f2487,f961,f948]) ).
fof(f2491,plain,
( ~ sQ11_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f2438,f873,f860]) ).
fof(f2497,plain,
( ~ sQ23_spl
| e3 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f900,f112]) ).
fof(f2498,plain,
( ~ sQ23_spl
| e3 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f900,f88]) ).
fof(f2502,plain,
( ~ sQ45_spl
| op(e1,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f972,f99]) ).
fof(f2505,plain,
( ~ sQ23_spl
| e3 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f900,f111]) ).
fof(f2525,plain,
( ~ sQ40_spl
| e0 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f956,f95]) ).
fof(f2526,plain,
( ~ sQ40_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f2525,f1007,f955]) ).
fof(f2528,plain,
( ~ sQ60_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f2255,f994,f1020]) ).
fof(f2534,plain,
( ~ sQ32_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f2059,f877,f929]) ).
fof(f2540,plain,
( ~ sQ1_spl
| e1 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f829,f78]) ).
fof(f2549,plain,
( ~ sQ61_spl
| op(e1,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f1024,f100]) ).
fof(f2550,plain,
( sQ81_spl
| ~ sQ61_spl
| e0 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f1024,f1138]) ).
fof(f2551,plain,
( sQ81_spl
| ~ sQ61_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f2550,f916,f1023,f1136]) ).
fof(f2567,plain,
( sQ86_spl
| ~ sQ61_spl
| e2 != op(e1,op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f1024,f1158]) ).
fof(f2568,plain,
( sQ86_spl
| ~ sQ61_spl
| e2 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f1024,f2567]) ).
fof(f2570,plain,
( ~ sQ20_spl
| ~ sQ21_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f894,f891]) ).
fof(f2571,plain,
( ~ sQ20_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2570,f126]) ).
fof(f2572,plain,
( ~ sQ20_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f2571]) ).
fof(f2574,plain,
( ~ sQ63_spl
| ~ sQ61_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f1024,f1030]) ).
fof(f2575,plain,
( ~ sQ63_spl
| ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2574,f130]) ).
fof(f2576,plain,
( ~ sQ63_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f2575]) ).
fof(f2577,plain,
( ~ sQ38_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f2486,f896,f948]) ).
fof(f2592,plain,
( ~ sQ49_spl
| op(e0,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f985,f80]) ).
fof(f2593,plain,
( ~ sQ49_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f2592,f828,f984]) ).
fof(f2594,plain,
( ~ sQ60_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f2453,f864,f1020]) ).
fof(f2597,plain,
( ~ sQ61_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f2549,f919,f1023]) ).
fof(f2601,plain,
( ~ sQ9_spl
| ~ sQ10_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f858,f855]) ).
fof(f2602,plain,
( ~ sQ9_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2601,f129]) ).
fof(f2603,plain,
( ~ sQ9_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f2602]) ).
fof(f2606,plain,
( ~ sQ29_spl
| op(e1,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f920,f113]) ).
fof(f2607,plain,
( ~ sQ29_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f2606,f906,f919]) ).
fof(f2608,plain,
( sQ74_spl
| ~ sQ60_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f2455,f867,f1020,f1109]) ).
fof(f2609,plain,
( ~ sQ2_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f2278,f844,f831]) ).
fof(f2610,plain,
( ~ sQ31_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f2347,f886,f925]) ).
fof(f2611,plain,
( ~ sQ49_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f2476,f997,f984]) ).
fof(f2612,plain,
( ~ sQ45_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f2502,f919,f971]) ).
fof(f2613,plain,
( ~ sQ23_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f2505,f912,f899]) ).
fof(f2614,plain,
( ~ sQ43_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f2214,f977,f964]) ).
fof(f2617,plain,
( ~ sQ36_spl
| op(e1,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f943,f87]) ).
fof(f2623,plain,
( ~ sQ36_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f2617,f890,f942]) ).
fof(f2624,plain,
( sQ86_spl
| ~ sQ61_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f2568,f896,f1023,f1156]) ).
fof(f2625,plain,
( ~ sQ37_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f1889,f958,f945]) ).
fof(f2626,plain,
( ~ sQ1_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f2540,f880,f828]) ).
fof(f2631,plain,
( ~ sQ23_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f2497,f925,f899]) ).
fof(f2632,plain,
( ~ sQ23_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f2498,f1003,f899]) ).
fof(f2633,plain,
( ~ sQ3_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f2139,f990,f834]) ).
fof(f2638,plain,
( ~ sQ61_spl
| op(e2,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f1024,f101]) ).
fof(f2663,plain,
( ~ sQ62_spl
| ~ sQ61_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f1024,f1027]) ).
fof(f2664,plain,
( ~ sQ62_spl
| ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2663,f129]) ).
fof(f2665,plain,
( ~ sQ62_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f2664]) ).
fof(f2750,plain,
( sQ87_spl
| ~ sQ2_spl
| e3 != op(e2,op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f832,f1163]) ).
fof(f2751,plain,
( sQ87_spl
| ~ sQ2_spl
| e3 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f832,f2750]) ).
fof(f2752,plain,
( sQ87_spl
| ~ sQ2_spl
| ~ sQ43_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f965,f2751]) ).
fof(f2753,plain,
( sQ87_spl
| ~ sQ2_spl
| ~ sQ43_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2752]) ).
fof(f2754,plain,
( sQ87_spl
| ~ sQ2_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f2753]) ).
fof(f2755,plain,
( sQ83_spl
| ~ sQ2_spl
| e1 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f832,f1146]) ).
fof(f2756,plain,
( sQ83_spl
| ~ sQ2_spl
| ~ sQ33_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f933,f2755]) ).
fof(f2757,plain,
( sQ83_spl
| ~ sQ2_spl
| ~ sQ33_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2756]) ).
fof(f2758,plain,
( sQ83_spl
| ~ sQ2_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f2757]) ).
fof(f2776,plain,
( ~ sQ49_spl
| e1 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f985,f122]) ).
fof(f2788,plain,
( sQ84_spl
| ~ sQ23_spl
| e2 != op(op(e1,e1),e3) ),
inference(backward_demodulation,[status(thm)],[f900,f1150]) ).
fof(f2790,plain,
( sQ84_spl
| ~ sQ23_spl
| e2 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f900,f2788]) ).
fof(f2860,plain,
( sQ84_spl
| ~ sQ23_spl
| ~ sQ62_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f1027,f2790]) ).
fof(f2861,plain,
( sQ84_spl
| ~ sQ23_spl
| ~ sQ62_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2860]) ).
fof(f2862,plain,
( sQ84_spl
| ~ sQ23_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f2861]) ).
fof(f2863,plain,
( sQ85_spl
| ~ sQ23_spl
| e0 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f900,f1154]) ).
fof(f2864,plain,
( sQ85_spl
| ~ sQ23_spl
| ~ sQ52_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f995,f2863]) ).
fof(f2865,plain,
( sQ85_spl
| ~ sQ23_spl
| ~ sQ52_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2864]) ).
fof(f2866,plain,
( sQ85_spl
| ~ sQ23_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f2865]) ).
fof(f2868,plain,
( ~ sQ57_spl
| ~ sQ59_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f1017,f1011]) ).
fof(f2869,plain,
( ~ sQ57_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2868,f130]) ).
fof(f2870,plain,
( ~ sQ57_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f2869]) ).
fof(f2875,plain,
( ~ sQ18_spl
| e2 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f884,f108]) ).
fof(f2982,plain,
( ~ sQ27_spl
| e3 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f913,f113]) ).
fof(f2992,plain,
( sQ67_spl
| ~ sQ20_spl
| e3 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f891,f1085]) ).
fof(f3000,plain,
( sQ88_spl
| ~ sQ20_spl
| e3 != op(e0,op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f891,f1168]) ).
fof(f3001,plain,
( sQ88_spl
| ~ sQ20_spl
| e3 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f891,f3000]) ).
fof(f3004,plain,
( sQ79_spl
| ~ sQ41_spl
| e0 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f959,f1130]) ).
fof(f3006,plain,
( sQ69_spl
| ~ sQ41_spl
| e0 != op(e1,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f959,f1093]) ).
fof(f3007,plain,
( sQ69_spl
| ~ sQ41_spl
| e0 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f959,f3006]) ).
fof(f3008,plain,
( sQ69_spl
| ~ sQ41_spl
| ~ sQ20_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f891,f3007]) ).
fof(f3009,plain,
( sQ69_spl
| ~ sQ41_spl
| ~ sQ20_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3008]) ).
fof(f3010,plain,
( sQ69_spl
| ~ sQ41_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f3009]) ).
fof(f3017,plain,
( sQ79_spl
| ~ sQ41_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f3004,f903,f958,f1128]) ).
fof(f3024,plain,
( ~ sQ42_spl
| ~ sQ41_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f959,f962]) ).
fof(f3025,plain,
( ~ sQ42_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3024,f129]) ).
fof(f3026,plain,
( ~ sQ42_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f3025]) ).
fof(f3029,plain,
( ~ sQ10_spl
| e2 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f858,f91]) ).
fof(f3037,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f842,f839]) ).
fof(f3038,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3037,f126]) ).
fof(f3039,plain,
( ~ sQ4_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f3038]) ).
fof(f3040,plain,
( ~ sQ49_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f2776,f1023,f984]) ).
fof(f3043,plain,
( ~ sQ61_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f2638,f971,f1023]) ).
fof(f3067,plain,
( ~ sQ55_spl
| op(e2,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f1004,f89]) ).
fof(f3072,plain,
( ~ sQ3_spl
| sQ88_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f835,f3001]) ).
fof(f3073,plain,
( ~ sQ3_spl
| sQ88_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f3072]) ).
fof(f3074,plain,
( sQ68_spl
| ~ sQ20_spl
| e2 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f891,f1089]) ).
fof(f3157,plain,
( sQ68_spl
| ~ sQ20_spl
| ~ sQ6_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f845,f3074]) ).
fof(f3158,plain,
( sQ68_spl
| ~ sQ20_spl
| ~ sQ6_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3157]) ).
fof(f3159,plain,
( sQ68_spl
| ~ sQ20_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f3158]) ).
fof(f3165,plain,
( ~ sQ10_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f3029,f961,f857]) ).
fof(f3168,plain,
( ~ sQ27_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f2982,f925,f912]) ).
fof(f3173,plain,
( ~ sQ55_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f3067,f951,f1003]) ).
fof(f3175,plain,
( ~ sQ25_spl
| ~ sQ27_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f913,f907]) ).
fof(f3176,plain,
( ~ sQ25_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3175,f130]) ).
fof(f3177,plain,
( ~ sQ25_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f3176]) ).
fof(f3179,plain,
( ~ sQ18_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f2875,f896,f883]) ).
fof(f3182,plain,
( ~ sQ53_spl
| ~ sQ55_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f1004,f998]) ).
fof(f3183,plain,
( ~ sQ53_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3182,f130]) ).
fof(f3184,plain,
( ~ sQ53_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f3183]) ).
fof(f3186,plain,
( ~ sQ22_spl
| e2 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f897,f112]) ).
fof(f3187,plain,
( ~ sQ22_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f3186,f922,f896]) ).
fof(f3200,plain,
( ~ sQ62_spl
| op(e1,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f1027,f100]) ).
fof(f3201,plain,
( ~ sQ62_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f3200,f922,f1026]) ).
fof(f3324,plain,
( sQ82_spl
| ~ sQ1_spl
| e2 != op(e1,op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f829,f1142]) ).
fof(f3325,plain,
( sQ82_spl
| ~ sQ1_spl
| e2 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f829,f3324]) ).
fof(f3326,plain,
( sQ82_spl
| ~ sQ1_spl
| ~ sQ22_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f897,f3325]) ).
fof(f3327,plain,
( sQ82_spl
| ~ sQ1_spl
| ~ sQ22_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3326]) ).
fof(f3328,plain,
( sQ82_spl
| ~ sQ1_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f3327]) ).
fof(f3331,plain,
( sQ76_spl
| ~ sQ1_spl
| e3 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f829,f1118]) ).
fof(f3332,plain,
( sQ76_spl
| ~ sQ1_spl
| ~ sQ19_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f887,f3331]) ).
fof(f3333,plain,
( sQ76_spl
| ~ sQ1_spl
| ~ sQ19_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3332]) ).
fof(f3334,plain,
( sQ76_spl
| ~ sQ1_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f3333]) ).
fof(f3335,plain,
( sQ67_spl
| ~ sQ20_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f2992,f847,f890,f1083]) ).
fof(f3358,plain,
( sQ73_spl
| ~ sQ61_spl
| e2 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f1024,f1107]) ).
fof(f3359,plain,
( sQ73_spl
| ~ sQ61_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f3358,f922,f1023,f1105]) ).
fof(f3361,plain,
( sQ72_spl
| ~ sQ61_spl
| e0 != op(e1,op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f1024,f1104]) ).
fof(f3362,plain,
( sQ72_spl
| ~ sQ61_spl
| e0 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f1024,f3361]) ).
fof(f3449,plain,
( sQ72_spl
| ~ sQ61_spl
| ~ sQ20_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f891,f3362]) ).
fof(f3450,plain,
( sQ72_spl
| ~ sQ61_spl
| ~ sQ20_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3449]) ).
fof(f3451,plain,
( sQ72_spl
| ~ sQ61_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f3450]) ).
fof(f3619,plain,
( ~ sQ28_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f917,f99]) ).
fof(f3627,plain,
( sQ77_spl
| ~ sQ1_spl
| e2 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f829,f1122]) ).
fof(f3628,plain,
( sQ77_spl
| ~ sQ1_spl
| ~ sQ18_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f884,f3627]) ).
fof(f3629,plain,
( sQ77_spl
| ~ sQ1_spl
| ~ sQ18_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3628]) ).
fof(f3630,plain,
( sQ77_spl
| ~ sQ1_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f3629]) ).
fof(f3632,plain,
( sQ87_spl
| ~ sQ1_spl
| e3 != op(e1,op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f829,f1163]) ).
fof(f3633,plain,
( sQ87_spl
| ~ sQ1_spl
| e3 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f829,f3632]) ).
fof(f3634,plain,
( sQ87_spl
| ~ sQ1_spl
| ~ sQ23_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f900,f3633]) ).
fof(f3635,plain,
( sQ87_spl
| ~ sQ1_spl
| ~ sQ23_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3634]) ).
fof(f3636,plain,
( sQ87_spl
| ~ sQ1_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f3635]) ).
fof(f3670,plain,
( sQ78_spl
| ~ sQ40_spl
| e1 != op(e0,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f956,f1126]) ).
fof(f3671,plain,
( sQ78_spl
| ~ sQ40_spl
| e1 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f956,f3670]) ).
fof(f3672,plain,
( sQ71_spl
| ~ sQ40_spl
| e1 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f956,f1100]) ).
fof(f3674,plain,
( sQ82_spl
| ~ sQ3_spl
| e2 != op(op(e0,e0),e3) ),
inference(backward_demodulation,[status(thm)],[f835,f1142]) ).
fof(f3675,plain,
( sQ82_spl
| ~ sQ3_spl
| e2 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f835,f3674]) ).
fof(f3702,plain,
( ~ sQ9_spl
| sQ71_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f855,f3672]) ).
fof(f3703,plain,
( ~ sQ9_spl
| sQ71_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f3702]) ).
fof(f3705,plain,
( sQ89_spl
| ~ sQ40_spl
| e3 != op(e0,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f956,f1173]) ).
fof(f3706,plain,
( sQ89_spl
| ~ sQ40_spl
| e3 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f956,f3705]) ).
fof(f3707,plain,
( sQ89_spl
| ~ sQ40_spl
| ~ sQ3_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f835,f3706]) ).
fof(f3708,plain,
( sQ89_spl
| ~ sQ40_spl
| ~ sQ3_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3707]) ).
fof(f3709,plain,
( sQ89_spl
| ~ sQ40_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f3708]) ).
fof(f3713,plain,
( sQ82_spl
| ~ sQ3_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f3675,f1026,f834,f1140]) ).
fof(f3737,plain,
( ~ sQ52_spl
| e0 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f995,f123]) ).
fof(f3767,plain,
( ~ sQ6_spl
| e2 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f845,f84]) ).
fof(f3772,plain,
( ~ sQ22_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f897,f3767]) ).
fof(f3773,plain,
( ~ sQ22_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f3772]) ).
fof(f3784,plain,
( sQ78_spl
| ~ sQ40_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f3671,f828,f955,f1124]) ).
fof(f3893,plain,
( sQ74_spl
| ~ sQ62_spl
| e1 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f1027,f1111]) ).
fof(f3894,plain,
( sQ74_spl
| ~ sQ62_spl
| ~ sQ45_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f972,f3893]) ).
fof(f3895,plain,
( sQ74_spl
| ~ sQ62_spl
| ~ sQ45_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3894]) ).
fof(f3896,plain,
( sQ74_spl
| ~ sQ62_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f3895]) ).
fof(f3898,plain,
( sQ72_spl
| ~ sQ62_spl
| e0 != op(e2,op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f1027,f1104]) ).
fof(f3899,plain,
( sQ72_spl
| ~ sQ62_spl
| e0 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f1027,f3898]) ).
fof(f3900,plain,
( sQ72_spl
| ~ sQ62_spl
| ~ sQ40_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f956,f3899]) ).
fof(f3901,plain,
( sQ72_spl
| ~ sQ62_spl
| ~ sQ40_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3900]) ).
fof(f3902,plain,
( sQ72_spl
| ~ sQ62_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f3901]) ).
fof(f3912,plain,
( ~ sQ28_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f3619,f968,f916]) ).
fof(f3918,plain,
( ~ sQ52_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f3737,f1007,f994]) ).
fof(f3924,plain,
( ~ sQ63_spl
| ~ sQ62_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f1027,f1030]) ).
fof(f3925,plain,
( ~ sQ63_spl
| ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3924,f131]) ).
fof(f3926,plain,
( ~ sQ63_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f3925]) ).
fof(f3927,plain,
$false,
inference(sat_refutation,[status(thm)],[f837,f850,f863,f876,f889,f902,f915,f928,f941,f954,f967,f980,f993,f1006,f1019,f1032,f1033,f1034,f1035,f1036,f1037,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1049,f1050,f1051,f1052,f1053,f1054,f1055,f1056,f1057,f1058,f1059,f1060,f1061,f1062,f1063,f1064,f1068,f1069,f1075,f1076,f1077,f1078,f1097,f1101,f1108,f1112,f1123,f1127,f1131,f1135,f1143,f1147,f1151,f1155,f1159,f1160,f1164,f1165,f1169,f1174,f1175,f1179,f1180,f1183,f1188,f1192,f1196,f1198,f1202,f1207,f1208,f1211,f1216,f1220,f1225,f1226,f1227,f1232,f1233,f1234,f1235,f1236,f1237,f1241,f1242,f1243,f1245,f1247,f1255,f1256,f1257,f1258,f1259,f1262,f1263,f1264,f1266,f1267,f1271,f1272,f1273,f1275,f1278,f1279,f1280,f1281,f1282,f1286,f1287,f1288,f1290,f1295,f1296,f1297,f1298,f1299,f1304,f1305,f1306,f1307,f1308,f1313,f1315,f1317,f1322,f1323,f1324,f1325,f1326,f1331,f1333,f1334,f1335,f1340,f1341,f1342,f1343,f1344,f1349,f1351,f1353,f1358,f1359,f1360,f1361,f1362,f1367,f1368,f1369,f1370,f1371,f1376,f1378,f1380,f1385,f1387,f1389,f1394,f1396,f1398,f1403,f1404,f1405,f1406,f1407,f1412,f1413,f1414,f1415,f1416,f1421,f1422,f1423,f1425,f1430,f1431,f1434,f1439,f1440,f1443,f1448,f1449,f1452,f1457,f1458,f1459,f1461,f1466,f1467,f1468,f1470,f1475,f1476,f1477,f1479,f1484,f1485,f1486,f1487,f1488,f1493,f1494,f1495,f1497,f1502,f1503,f1504,f1506,f1511,f1512,f1513,f1514,f1515,f1520,f1521,f1522,f1523,f1524,f1529,f1530,f1531,f1532,f1533,f1538,f1539,f1540,f1541,f1542,f1547,f1548,f1549,f1551,f1556,f1557,f1558,f1559,f1560,f1565,f1566,f1567,f1568,f1569,f1574,f1575,f1576,f1577,f1578,f1583,f1584,f1585,f1587,f1592,f1593,f1594,f1595,f1596,f1601,f1602,f1603,f1604,f1605,f1610,f1611,f1612,f1614,f1619,f1620,f1623,f1628,f1629,f1630,f1631,f1632,f1637,f1638,f1639,f1640,f1641,f1646,f1647,f1648,f1649,f1650,f1655,f1656,f1657,f1659,f1664,f1665,f1666,f1667,f1668,f1673,f1674,f1675,f1676,f1677,f1682,f1683,f1684,f1685,f1686,f1687,f1691,f1692,f1693,f1694,f1695,f1696,f1700,f1701,f1702,f1704,f1709,f1710,f1711,f1712,f1713,f1718,f1719,f1720,f1721,f1722,f1727,f1728,f1729,f1730,f1731,f1736,f1737,f1738,f1740,f1745,f1746,f1747,f1748,f1749,f1754,f1755,f1756,f1757,f1758,f1759,f1763,f1764,f1765,f1766,f1767,f1772,f1773,f1774,f1776,f1781,f1782,f1783,f1785,f1790,f1791,f1794,f1799,f1800,f1803,f1805,f1806,f1812,f1815,f1830,f1835,f1838,f1841,f1854,f1858,f1861,f1864,f1875,f1880,f1883,f1886,f1899,f1902,f1903,f1905,f1913,f1916,f1917,f1919,f1920,f1924,f1934,f1941,f1944,f1953,f1963,f1966,f1969,f1970,f1971,f1974,f1975,f1976,f1977,f1981,f1982,f1983,f1984,f1985,f1986,f1987,f1990,f1991,f1992,f1993,f1994,f1995,f1996,f1997,f1998,f1999,f2000,f2007,f2008,f2017,f2018,f2019,f2021,f2022,f2023,f2024,f2027,f2028,f2029,f2030,f2031,f2037,f2038,f2041,f2042,f2043,f2044,f2045,f2046,f2047,f2048,f2049,f2050,f2051,f2052,f2053,f2054,f2055,f2060,f2061,f2062,f2065,f2073,f2074,f2075,f2079,f2083,f2089,f2090,f2091,f2092,f2094,f2097,f2126,f2127,f2128,f2129,f2130,f2131,f2132,f2133,f2134,f2148,f2149,f2150,f2151,f2152,f2153,f2164,f2165,f2166,f2167,f2168,f2169,f2170,f2171,f2172,f2173,f2174,f2179,f2194,f2195,f2219,f2228,f2229,f2230,f2233,f2234,f2242,f2243,f2249,f2366,f2396,f2399,f2404,f2405,f2410,f2411,f2412,f2413,f2414,f2415,f2416,f2417,f2419,f2420,f2421,f2422,f2423,f2426,f2433,f2445,f2446,f2447,f2448,f2449,f2457,f2458,f2459,f2466,f2467,f2488,f2489,f2491,f2526,f2528,f2534,f2551,f2572,f2576,f2577,f2593,f2594,f2597,f2603,f2607,f2608,f2609,f2610,f2611,f2612,f2613,f2614,f2623,f2624,f2625,f2626,f2631,f2632,f2633,f2665,f2754,f2758,f2862,f2866,f2870,f3010,f3017,f3026,f3039,f3040,f3043,f3073,f3159,f3165,f3168,f3173,f3177,f3179,f3184,f3187,f3201,f3328,f3334,f3335,f3359,f3451,f3630,f3636,f3703,f3709,f3713,f3773,f3784,f3896,f3902,f3912,f3918,f3926]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG162+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.40 % Computer : n017.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Mon Sep 21 12:54:58 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.03/0.48 % Drodi V4.1.1
% 6.27/1.46 % Refutation found
% 6.27/1.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 6.27/1.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 6.27/1.48 % Elapsed time: 1.063373 seconds
% 6.27/1.48 % CPU time: 7.669008 seconds
% 6.27/1.48 % Total memory used: 67.099 MB
% 6.27/1.48 % Net memory used: 66.641 MB
%------------------------------------------------------------------------------