%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG160+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 : n011.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 8.84s 1.93s
% Output : CNFRefutation 8.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 333
% Syntax : Number of formulae : 2525 ( 55 unt; 304 def)
% Number of atoms : 18074 (12794 equ)
% Maximal formula atoms : 416 ( 7 avg)
% Number of connectives : 24446 (8897 ~;7239 |;7915 &)
% ( 395 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 69 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 306 ( 304 usr; 305 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) = 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,e3) = e3
& op(e3,e2) = e3 )
| ( ( 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,e3) = e3
& op(e3,e1) = e3 )
| ( ( 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,e3) = e3
& op(e3,e0) = e3 )
| ( ( 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,e2) = e2
& op(e2,e3) = e2 )
| ( ( 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(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,e2) = e2
& op(e2,e1) = e2 )
| ( ( 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,e2) = e2
& op(e2,e0) = e2 )
| ( ( 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,e1) = e1
& op(e1,e3) = e1 )
| ( ( 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,e1) = e1
& op(e1,e2) = e1 )
| ( ( 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(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,e1) = e1
& op(e1,e0) = e1 )
| ( ( 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,e0) = e0
& op(e0,e3) = e0 )
| ( ( 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,e0) = e0
& op(e0,e2) = e0 )
| ( ( 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,e0) = e0
& op(e0,e1) = e0 )
| ( ( 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(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,e2) != e3
& op(e3,e3) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& 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,e1) != e3
& op(e3,e3) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& 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,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& 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(f6,axiom,
~ ( e3 = op(op(e1,op(e1,e1)),e1)
& e2 = op(e1,e1)
& e0 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
~ ( e2 = op(op(e1,op(e1,e1)),e1)
& e3 = op(e1,e1)
& e0 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
~ ( e3 = op(op(e2,op(e2,e2)),e2)
& e1 = op(e2,e2)
& e0 = op(e2,op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
~ ( e1 = op(op(e2,op(e2,e2)),e2)
& e3 = op(e2,e2)
& e0 = op(e2,op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
~ ( e2 = op(op(e3,op(e3,e3)),e3)
& e1 = op(e3,e3)
& e0 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
~ ( e1 = op(op(e3,op(e3,e3)),e3)
& e2 = op(e3,e3)
& e0 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
~ ( e3 = op(op(e0,op(e0,e0)),e0)
& e2 = op(e0,e0)
& e1 = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
~ ( e2 = op(op(e0,op(e0,e0)),e0)
& e3 = op(e0,e0)
& e1 = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
~ ( e3 = op(op(e2,op(e2,e2)),e2)
& e0 = op(e2,e2)
& e1 = op(e2,op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
~ ( e0 = op(op(e2,op(e2,e2)),e2)
& e3 = op(e2,e2)
& e1 = op(e2,op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
~ ( e2 = op(op(e3,op(e3,e3)),e3)
& e0 = op(e3,e3)
& e1 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
~ ( e0 = op(op(e3,op(e3,e3)),e3)
& e2 = op(e3,e3)
& e1 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
~ ( e3 = op(op(e0,op(e0,e0)),e0)
& e1 = op(e0,e0)
& e2 = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
~ ( e1 = op(op(e0,op(e0,e0)),e0)
& e3 = op(e0,e0)
& e2 = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
~ ( e3 = op(op(e1,op(e1,e1)),e1)
& e0 = op(e1,e1)
& e2 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
~ ( e0 = op(op(e1,op(e1,e1)),e1)
& e3 = op(e1,e1)
& e2 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
~ ( e1 = op(op(e3,op(e3,e3)),e3)
& e0 = op(e3,e3)
& e2 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
~ ( e0 = op(op(e3,op(e3,e3)),e3)
& e1 = op(e3,e3)
& e2 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
~ ( e2 = op(op(e0,op(e0,e0)),e0)
& e1 = op(e0,e0)
& e3 = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
~ ( e1 = op(op(e0,op(e0,e0)),e0)
& e2 = op(e0,e0)
& e3 = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
~ ( e2 = op(op(e1,op(e1,e1)),e1)
& e0 = op(e1,e1)
& e3 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
~ ( e0 = op(op(e1,op(e1,e1)),e1)
& e2 = op(e1,e1)
& e3 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
~ ( e1 = op(op(e2,op(e2,e2)),e2)
& e0 = op(e2,e2)
& e3 = op(e2,op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
~ ( e0 = op(op(e2,op(e2,e2)),e2)
& e1 = op(e2,e2)
& e3 = op(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(f51,plain,
( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f52,plain,
( op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f53,plain,
( op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f54,plain,
( op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f55,plain,
( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f56,plain,
( op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f57,plain,
( op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f58,plain,
( op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f59,plain,
( op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f60,plain,
( op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f61,plain,
( op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f62,plain,
( op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f63,plain,
( op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f64,plain,
( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f65,plain,
( op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f66,plain,
( op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f67,plain,
( op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f68,plain,
( op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f69,plain,
( op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f70,plain,
( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f71,plain,
( op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f72,plain,
( op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f73,plain,
( op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f74,plain,
( op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f75,plain,
( op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f76,plain,
( op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f77,plain,
( op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f78,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f79,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f80,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f81,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f82,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f83,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f84,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f85,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f86,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f87,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f88,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f89,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f90,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f91,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f92,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f93,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f94,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f95,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f96,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f97,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f98,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f99,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f100,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f101,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f102,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f103,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f104,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f105,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f106,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f107,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f108,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f109,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f110,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f111,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f112,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f113,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f114,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f115,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f116,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f117,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f118,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f119,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f120,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f121,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f122,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f123,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f124,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f125,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f126,plain,
e0 != e1,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f127,plain,
e0 != e2,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f128,plain,
e0 != e3,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f129,plain,
e1 != e2,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f130,plain,
e1 != e3,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f131,plain,
e2 != e3,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f132,definition,
( sP0_prd
<=> ( ( op(e2,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,e2) != e3
& op(e3,e3) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& 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,e1) != e3
& op(e3,e3) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& 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,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& 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,e3) = e3
& op(e3,e2) = e3 )
| ( ( 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,e3) = e3
& op(e3,e1) = e3 )
| ( ( 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,e3) = e3
& op(e3,e0) = e3 )
| ( ( 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,e2) = e2
& op(e2,e3) = e2 )
| ( ( 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(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,e2) = e2
& op(e2,e1) = e2 )
| ( ( 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,e2) = e2
& op(e2,e0) = e2 )
| ( ( 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,e1) = e1
& op(e1,e3) = e1 )
| ( ( 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,e1) = e1
& op(e1,e2) = e1 )
| ( ( 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(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,e1) = e1
& op(e1,e0) = e1 )
| ( ( 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,e0) = e0
& op(e0,e3) = e0 )
| ( ( 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,e0) = e0
& op(e0,e2) = e0 )
| ( ( 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,e0) = e0
& op(e0,e1) = e0 )
| ( ( 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(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
& 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(f141,plain,
( op(e0,e0) = e3
| op(e0,e3) != e0
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f142,plain,
( op(e1,e1) = e3
| op(e1,e3) != e1
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f143,plain,
( op(e2,e2) = e3
| op(e2,e3) != e2
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f145,plain,
( e3 != op(op(e1,op(e1,e1)),e1)
| e2 != op(e1,e1)
| e0 != op(e1,op(e1,e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f146,plain,
( e3 != op(op(e1,op(e1,e1)),e1)
| e2 != op(e1,e1)
| e0 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[status(thm)],[f145]) ).
fof(f147,plain,
( e2 != op(op(e1,op(e1,e1)),e1)
| e3 != op(e1,e1)
| e0 != op(e1,op(e1,e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f148,plain,
( e2 != op(op(e1,op(e1,e1)),e1)
| e3 != op(e1,e1)
| e0 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[status(thm)],[f147]) ).
fof(f149,plain,
( e3 != op(op(e2,op(e2,e2)),e2)
| e1 != op(e2,e2)
| e0 != op(e2,op(e2,e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f150,plain,
( e3 != op(op(e2,op(e2,e2)),e2)
| e1 != op(e2,e2)
| e0 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[status(thm)],[f149]) ).
fof(f151,plain,
( e1 != op(op(e2,op(e2,e2)),e2)
| e3 != op(e2,e2)
| e0 != op(e2,op(e2,e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f152,plain,
( e1 != op(op(e2,op(e2,e2)),e2)
| e3 != op(e2,e2)
| e0 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[status(thm)],[f151]) ).
fof(f153,plain,
( e2 != op(op(e3,op(e3,e3)),e3)
| e1 != op(e3,e3)
| e0 != op(e3,op(e3,e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f154,plain,
( e2 != op(op(e3,op(e3,e3)),e3)
| e1 != op(e3,e3)
| e0 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[status(thm)],[f153]) ).
fof(f155,plain,
( e1 != op(op(e3,op(e3,e3)),e3)
| e2 != op(e3,e3)
| e0 != op(e3,op(e3,e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f11]) ).
fof(f156,plain,
( e1 != op(op(e3,op(e3,e3)),e3)
| e2 != op(e3,e3)
| e0 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[status(thm)],[f155]) ).
fof(f157,plain,
( e3 != op(op(e0,op(e0,e0)),e0)
| e2 != op(e0,e0)
| e1 != op(e0,op(e0,e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f158,plain,
( e3 != op(op(e0,op(e0,e0)),e0)
| e2 != op(e0,e0)
| e1 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[status(thm)],[f157]) ).
fof(f159,plain,
( e2 != op(op(e0,op(e0,e0)),e0)
| e3 != op(e0,e0)
| e1 != op(e0,op(e0,e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f160,plain,
( e2 != op(op(e0,op(e0,e0)),e0)
| e3 != op(e0,e0)
| e1 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[status(thm)],[f159]) ).
fof(f161,plain,
( e3 != op(op(e2,op(e2,e2)),e2)
| e0 != op(e2,e2)
| e1 != op(e2,op(e2,e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f14]) ).
fof(f162,plain,
( e3 != op(op(e2,op(e2,e2)),e2)
| e0 != op(e2,e2)
| e1 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[status(thm)],[f161]) ).
fof(f163,plain,
( e0 != op(op(e2,op(e2,e2)),e2)
| e3 != op(e2,e2)
| e1 != op(e2,op(e2,e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f164,plain,
( e0 != op(op(e2,op(e2,e2)),e2)
| e3 != op(e2,e2)
| e1 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[status(thm)],[f163]) ).
fof(f165,plain,
( e2 != op(op(e3,op(e3,e3)),e3)
| e0 != op(e3,e3)
| e1 != op(e3,op(e3,e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f16]) ).
fof(f166,plain,
( e2 != op(op(e3,op(e3,e3)),e3)
| e0 != op(e3,e3)
| e1 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[status(thm)],[f165]) ).
fof(f167,plain,
( e0 != op(op(e3,op(e3,e3)),e3)
| e2 != op(e3,e3)
| e1 != op(e3,op(e3,e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f17]) ).
fof(f168,plain,
( e0 != op(op(e3,op(e3,e3)),e3)
| e2 != op(e3,e3)
| e1 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[status(thm)],[f167]) ).
fof(f169,plain,
( e3 != op(op(e0,op(e0,e0)),e0)
| e1 != op(e0,e0)
| e2 != op(e0,op(e0,e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f170,plain,
( e3 != op(op(e0,op(e0,e0)),e0)
| e1 != op(e0,e0)
| e2 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[status(thm)],[f169]) ).
fof(f171,plain,
( e1 != op(op(e0,op(e0,e0)),e0)
| e3 != op(e0,e0)
| e2 != op(e0,op(e0,e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f19]) ).
fof(f172,plain,
( e1 != op(op(e0,op(e0,e0)),e0)
| e3 != op(e0,e0)
| e2 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[status(thm)],[f171]) ).
fof(f173,plain,
( e3 != op(op(e1,op(e1,e1)),e1)
| e0 != op(e1,e1)
| e2 != op(e1,op(e1,e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f20]) ).
fof(f174,plain,
( e3 != op(op(e1,op(e1,e1)),e1)
| e0 != op(e1,e1)
| e2 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[status(thm)],[f173]) ).
fof(f175,plain,
( e0 != op(op(e1,op(e1,e1)),e1)
| e3 != op(e1,e1)
| e2 != op(e1,op(e1,e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f21]) ).
fof(f176,plain,
( e0 != op(op(e1,op(e1,e1)),e1)
| e3 != op(e1,e1)
| e2 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[status(thm)],[f175]) ).
fof(f177,plain,
( e1 != op(op(e3,op(e3,e3)),e3)
| e0 != op(e3,e3)
| e2 != op(e3,op(e3,e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f22]) ).
fof(f178,plain,
( e1 != op(op(e3,op(e3,e3)),e3)
| e0 != op(e3,e3)
| e2 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[status(thm)],[f177]) ).
fof(f179,plain,
( e0 != op(op(e3,op(e3,e3)),e3)
| e1 != op(e3,e3)
| e2 != op(e3,op(e3,e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f23]) ).
fof(f180,plain,
( e0 != op(op(e3,op(e3,e3)),e3)
| e1 != op(e3,e3)
| e2 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[status(thm)],[f179]) ).
fof(f181,plain,
( e2 != op(op(e0,op(e0,e0)),e0)
| e1 != op(e0,e0)
| e3 != op(e0,op(e0,e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f24]) ).
fof(f182,plain,
( e2 != op(op(e0,op(e0,e0)),e0)
| e1 != op(e0,e0)
| e3 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[status(thm)],[f181]) ).
fof(f183,plain,
( e1 != op(op(e0,op(e0,e0)),e0)
| e2 != op(e0,e0)
| e3 != op(e0,op(e0,e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f25]) ).
fof(f184,plain,
( e1 != op(op(e0,op(e0,e0)),e0)
| e2 != op(e0,e0)
| e3 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[status(thm)],[f183]) ).
fof(f185,plain,
( e2 != op(op(e1,op(e1,e1)),e1)
| e0 != op(e1,e1)
| e3 != op(e1,op(e1,e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f26]) ).
fof(f186,plain,
( e2 != op(op(e1,op(e1,e1)),e1)
| e0 != op(e1,e1)
| e3 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[status(thm)],[f185]) ).
fof(f187,plain,
( e0 != op(op(e1,op(e1,e1)),e1)
| e2 != op(e1,e1)
| e3 != op(e1,op(e1,e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f27]) ).
fof(f188,plain,
( e0 != op(op(e1,op(e1,e1)),e1)
| e2 != op(e1,e1)
| e3 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[status(thm)],[f187]) ).
fof(f189,plain,
( e1 != op(op(e2,op(e2,e2)),e2)
| e0 != op(e2,e2)
| e3 != op(e2,op(e2,e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f28]) ).
fof(f190,plain,
( e1 != op(op(e2,op(e2,e2)),e2)
| e0 != op(e2,e2)
| e3 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[status(thm)],[f189]) ).
fof(f191,plain,
( e0 != op(op(e2,op(e2,e2)),e2)
| e1 != op(e2,e2)
| e3 != op(e2,op(e2,e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f29]) ).
fof(f192,plain,
( e0 != op(op(e2,op(e2,e2)),e2)
| e1 != op(e2,e2)
| e3 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f193,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,e2) != e3
& op(e3,e3) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& 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,e1) != e3
& op(e3,e3) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& 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,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& 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(f194,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,f193]) ).
fof(f195,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)],[f194]) ).
fof(f196,plain,
( op(e3,e3) = e3
| sP2_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f195]) ).
fof(f197,plain,
( op(e3,e3) != e3
| sP2_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f195]) ).
fof(f198,plain,
( op(e2,e2) = e3
| sP2_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f195]) ).
fof(f199,plain,
( op(e2,e3) != e2
| sP2_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f195]) ).
fof(f200,plain,
( ~ sP2_prd
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f195]) ).
fof(f202,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,e3) = e3
& op(e3,e1) = e3 )
| ( ( 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,e3) = e3
& op(e3,e0) = e3 )
| ( ( 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,e2) = e2
& op(e2,e3) = e2 )
| ( ( 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(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,e2) = e2
& op(e2,e1) = e2 )
| ( ( 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,e2) = e2
& op(e2,e0) = e2 )
| ( ( 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,e1) = e1
& op(e1,e3) = e1 )
| ( ( 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,e1) = e1
& op(e1,e2) = e1 )
| ( ( 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(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,e1) = e1
& op(e1,e0) = e1 )
| ( ( 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,e0) = e0
& op(e0,e3) = e0 )
| ( ( 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,e0) = e0
& op(e0,e2) = e0 )
| ( ( 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,e0) = e0
& op(e0,e1) = e0 )
| ( ( 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(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f203,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,e3) = e3
& op(e3,e2) = e3 )
| sP3_prd ) ),
inference(formula_renaming,[status(thm)],[f133,f202]) ).
fof(f204,definition,
( sP4_prd
<=> ( op(e0,e0) = e2
| op(e0,e2) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f205,definition,
( sP5_prd
<=> ( op(e1,e1) = e2
| op(e1,e2) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f206,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,e3) = e3
& op(e3,e2) = e3 )
| sP3_prd ) ),
inference(formula_renaming,[status(thm)],[f203,f205,f204]) ).
fof(f207,plain,
( ( ( ( ( op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2 )
| ~ sP5_prd
| ~ sP4_prd
| op(e2,e3) != e3
| op(e3,e2) != e3 )
& ~ 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,e3) = e3
& op(e3,e2) = e3 )
| sP3_prd
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f206]) ).
fof(f208,plain,
( op(e3,e2) = e3
| sP3_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f207]) ).
fof(f209,plain,
( op(e2,e3) = e3
| sP3_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f207]) ).
fof(f210,plain,
( sP4_prd
| sP3_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f207]) ).
fof(f211,plain,
( sP5_prd
| sP3_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f207]) ).
fof(f213,plain,
( op(e3,e3) = e2
| op(e3,e2) != e3
| sP3_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f207]) ).
fof(f214,plain,
( ~ sP3_prd
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f207]) ).
fof(f219,definition,
( sP6_prd
<=> ( ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e3,e3) != e3
& op(e3,e3) = e3 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& 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,e1) != e3
& op(e3,e3) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& 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,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& 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(f220,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)],[f193,f219]) ).
fof(f221,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)],[f220]) ).
fof(f222,plain,
( op(e3,e3) = e3
| sP6_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f221]) ).
fof(f223,plain,
( op(e3,e3) != e3
| sP6_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f221]) ).
fof(f224,plain,
( op(e1,e1) = e3
| sP6_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f221]) ).
fof(f225,plain,
( op(e1,e3) != e1
| sP6_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f221]) ).
fof(f226,plain,
( ~ sP6_prd
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f221]) ).
fof(f228,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,e3) = e3
& op(e3,e0) = e3 )
| ( ( 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,e2) = e2
& op(e2,e3) = e2 )
| ( ( 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(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,e2) = e2
& op(e2,e1) = e2 )
| ( ( 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,e2) = e2
& op(e2,e0) = e2 )
| ( ( 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,e1) = e1
& op(e1,e3) = e1 )
| ( ( 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,e1) = e1
& op(e1,e2) = e1 )
| ( ( 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(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,e1) = e1
& op(e1,e0) = e1 )
| ( ( 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,e0) = e0
& op(e0,e3) = e0 )
| ( ( 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,e0) = e0
& op(e0,e2) = e0 )
| ( ( 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,e0) = e0
& op(e0,e1) = e0 )
| ( ( 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(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).
fof(f229,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,e3) = e3
& op(e3,e1) = e3 )
| sP7_prd ) ),
inference(formula_renaming,[status(thm)],[f202,f228]) ).
fof(f230,definition,
( sP8_prd
<=> ( op(e0,e0) = e1
| op(e0,e1) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP8_prd])],[]) ).
fof(f231,definition,
( sP9_prd
<=> ( op(e1,e1) = e1
| op(e1,e1) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP9_prd])],[]) ).
fof(f232,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,e3) = e3
& op(e3,e1) = e3 )
| sP7_prd ) ),
inference(formula_renaming,[status(thm)],[f229,f231,f230]) ).
fof(f233,plain,
( ( ( ( ( op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e2,e2) != e1
& op(e2,e1) = e2 )
| ~ sP9_prd
| ~ sP8_prd
| op(e1,e3) != e3
| op(e3,e1) != e3 )
& ~ 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,e3) = e3
& op(e3,e1) = e3 )
| sP7_prd
| ~ sP3_prd ) ),
inference(NNF_transformation,[status(thm)],[f232]) ).
fof(f234,plain,
( op(e3,e1) = e3
| sP7_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f233]) ).
fof(f235,plain,
( op(e1,e3) = e3
| sP7_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f233]) ).
fof(f236,plain,
( sP8_prd
| sP7_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f233]) ).
fof(f237,plain,
( sP9_prd
| sP7_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f233]) ).
fof(f238,plain,
( op(e2,e2) = e1
| op(e2,e1) != e2
| sP7_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f233]) ).
fof(f239,plain,
( op(e3,e3) = e1
| op(e3,e1) != e3
| sP7_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f233]) ).
fof(f240,plain,
( ~ sP7_prd
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f233]) ).
fof(f245,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)],[f204]) ).
fof(f246,plain,
( op(e0,e0) = e2
| op(e0,e2) != e0
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f245]) ).
fof(f247,plain,
( op(e0,e2) = e0
| sP4_prd ),
inference(cnf_transformation,[status(thm)],[f245]) ).
fof(f248,plain,
( op(e0,e0) != e2
| sP4_prd ),
inference(cnf_transformation,[status(thm)],[f245]) ).
fof(f249,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)],[f205]) ).
fof(f250,plain,
( op(e1,e1) = e2
| op(e1,e2) != e1
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f249]) ).
fof(f251,plain,
( op(e1,e2) = e1
| sP5_prd ),
inference(cnf_transformation,[status(thm)],[f249]) ).
fof(f252,plain,
( op(e1,e1) != e2
| sP5_prd ),
inference(cnf_transformation,[status(thm)],[f249]) ).
fof(f253,definition,
( sP10_prd
<=> ( ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& 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,e1) != e3
& op(e3,e3) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& 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,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& 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(f254,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)],[f219,f253]) ).
fof(f255,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)],[f254]) ).
fof(f256,plain,
( op(e3,e3) = e3
| sP10_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f255]) ).
fof(f257,plain,
( op(e3,e3) != e3
| sP10_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f255]) ).
fof(f258,plain,
( op(e0,e0) = e3
| sP10_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f255]) ).
fof(f259,plain,
( op(e0,e3) != e0
| sP10_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f255]) ).
fof(f260,plain,
( ~ sP10_prd
| sP6_prd ),
inference(cnf_transformation,[status(thm)],[f255]) ).
fof(f262,definition,
( sP11_prd
<=> ( ( ( 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,e2) = e2
& op(e2,e3) = e2 )
| ( ( 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(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,e2) = e2
& op(e2,e1) = e2 )
| ( ( 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,e2) = e2
& op(e2,e0) = e2 )
| ( ( 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,e1) = e1
& op(e1,e3) = e1 )
| ( ( 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,e1) = e1
& op(e1,e2) = e1 )
| ( ( 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(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,e1) = e1
& op(e1,e0) = e1 )
| ( ( 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,e0) = e0
& op(e0,e3) = e0 )
| ( ( 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,e0) = e0
& op(e0,e2) = e0 )
| ( ( 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,e0) = e0
& op(e0,e1) = e0 )
| ( ( 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(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP11_prd])],[]) ).
fof(f263,plain,
( 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,e3) = e3
& op(e3,e0) = e3 )
| sP11_prd ) ),
inference(formula_renaming,[status(thm)],[f228,f262]) ).
fof(f264,definition,
( sP12_prd
<=> ( op(e0,e0) = e0
| op(e0,e0) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP12_prd])],[]) ).
fof(f265,definition,
( sP13_prd
<=> ( op(e1,e1) = e0
| op(e1,e0) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP13_prd])],[]) ).
fof(f266,plain,
( sP7_prd
<=> ( ( ( op(e3,e3) = e0
| op(e3,e0) != e3 )
& ( op(e2,e2) = e0
| op(e2,e0) != e2 )
& sP13_prd
& sP12_prd
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| sP11_prd ) ),
inference(formula_renaming,[status(thm)],[f263,f265,f264]) ).
fof(f267,plain,
( ( ( ( ( op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e2,e2) != e0
& op(e2,e0) = e2 )
| ~ sP13_prd
| ~ sP12_prd
| op(e0,e3) != e3
| op(e3,e0) != e3 )
& ~ sP11_prd )
| sP7_prd )
& ( ( ( op(e3,e3) = e0
| op(e3,e0) != e3 )
& ( op(e2,e2) = e0
| op(e2,e0) != e2 )
& sP13_prd
& sP12_prd
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| sP11_prd
| ~ sP7_prd ) ),
inference(NNF_transformation,[status(thm)],[f266]) ).
fof(f268,plain,
( op(e3,e0) = e3
| sP11_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f267]) ).
fof(f269,plain,
( op(e0,e3) = e3
| sP11_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f267]) ).
fof(f270,plain,
( sP12_prd
| sP11_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f267]) ).
fof(f271,plain,
( sP13_prd
| sP11_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f267]) ).
fof(f272,plain,
( op(e2,e2) = e0
| op(e2,e0) != e2
| sP11_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f267]) ).
fof(f273,plain,
( op(e3,e3) = e0
| op(e3,e0) != e3
| sP11_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f267]) ).
fof(f274,plain,
( ~ sP11_prd
| sP7_prd ),
inference(cnf_transformation,[status(thm)],[f267]) ).
fof(f279,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)],[f230]) ).
fof(f280,plain,
( op(e0,e0) = e1
| op(e0,e1) != e0
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f279]) ).
fof(f281,plain,
( op(e0,e1) = e0
| sP8_prd ),
inference(cnf_transformation,[status(thm)],[f279]) ).
fof(f282,plain,
( op(e0,e0) != e1
| sP8_prd ),
inference(cnf_transformation,[status(thm)],[f279]) ).
fof(f283,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)],[f231]) ).
fof(f285,plain,
( op(e1,e1) = e1
| sP9_prd ),
inference(cnf_transformation,[status(thm)],[f283]) ).
fof(f286,plain,
( op(e1,e1) != e1
| sP9_prd ),
inference(cnf_transformation,[status(thm)],[f283]) ).
fof(f287,definition,
( sP14_prd
<=> ( ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& 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,e1) != e3
& op(e3,e3) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& 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,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& 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(f288,plain,
( sP10_prd
<=> ( ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| sP14_prd ) ),
inference(formula_renaming,[status(thm)],[f253,f287]) ).
fof(f289,plain,
( ( ( ( op(e3,e2) = e3
| op(e3,e3) != e2
| op(e3,e3) = e2
| op(e3,e2) != e3 )
& ~ sP14_prd )
| sP10_prd )
& ( ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| sP14_prd
| ~ sP10_prd ) ),
inference(NNF_transformation,[status(thm)],[f288]) ).
fof(f290,plain,
( op(e3,e2) = e3
| sP14_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f289]) ).
fof(f291,plain,
( op(e3,e3) != e2
| sP14_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f289]) ).
fof(f292,plain,
( op(e3,e3) = e2
| sP14_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f289]) ).
fof(f293,plain,
( op(e3,e2) != e3
| sP14_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f289]) ).
fof(f294,plain,
( ~ sP14_prd
| sP10_prd ),
inference(cnf_transformation,[status(thm)],[f289]) ).
fof(f296,definition,
( sP15_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(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,e2) = e2
& op(e2,e1) = e2 )
| ( ( 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,e2) = e2
& op(e2,e0) = e2 )
| ( ( 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,e1) = e1
& op(e1,e3) = e1 )
| ( ( 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,e1) = e1
& op(e1,e2) = e1 )
| ( ( 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(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,e1) = e1
& op(e1,e0) = e1 )
| ( ( 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,e0) = e0
& op(e0,e3) = e0 )
| ( ( 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,e0) = e0
& op(e0,e2) = e0 )
| ( ( 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,e0) = e0
& op(e0,e1) = e0 )
| ( ( 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(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP15_prd])],[]) ).
fof(f297,plain,
( sP11_prd
<=> ( ( ( 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,e2) = e2
& op(e2,e3) = e2 )
| sP15_prd ) ),
inference(formula_renaming,[status(thm)],[f262,f296]) ).
fof(f298,definition,
( sP16_prd
<=> ( op(e0,e0) = e3
| op(e0,e3) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP16_prd])],[]) ).
fof(f299,definition,
( sP17_prd
<=> ( op(e1,e1) = e3
| op(e1,e3) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP17_prd])],[]) ).
fof(f300,plain,
( sP11_prd
<=> ( ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e2,e2) = e3
| op(e2,e3) != e2 )
& sP17_prd
& sP16_prd
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| sP15_prd ) ),
inference(formula_renaming,[status(thm)],[f297,f299,f298]) ).
fof(f301,plain,
( ( ( ( ( op(e3,e3) != e3
& op(e3,e3) = e3 )
| ( op(e2,e2) != e3
& op(e2,e3) = e2 )
| ~ sP17_prd
| ~ sP16_prd
| op(e3,e2) != e2
| op(e2,e3) != e2 )
& ~ sP15_prd )
| sP11_prd )
& ( ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e2,e2) = e3
| op(e2,e3) != e2 )
& sP17_prd
& sP16_prd
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| sP15_prd
| ~ sP11_prd ) ),
inference(NNF_transformation,[status(thm)],[f300]) ).
fof(f302,plain,
( op(e2,e3) = e2
| sP15_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f301]) ).
fof(f303,plain,
( op(e3,e2) = e2
| sP15_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f301]) ).
fof(f304,plain,
( sP16_prd
| sP15_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f301]) ).
fof(f305,plain,
( sP17_prd
| sP15_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f301]) ).
fof(f306,plain,
( op(e2,e2) = e3
| op(e2,e3) != e2
| sP15_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f301]) ).
fof(f308,plain,
( ~ sP15_prd
| sP11_prd ),
inference(cnf_transformation,[status(thm)],[f301]) ).
fof(f311,plain,
( op(e3,e3) = e3
| op(e2,e2) != e3
| ~ sP17_prd
| ~ sP16_prd
| op(e3,e2) != e2
| op(e2,e3) != e2
| sP11_prd ),
inference(cnf_transformation,[status(thm)],[f301]) ).
fof(f312,plain,
( op(e3,e3) != e3
| op(e2,e2) != e3
| ~ sP17_prd
| ~ sP16_prd
| op(e3,e2) != e2
| op(e2,e3) != e2
| sP11_prd ),
inference(cnf_transformation,[status(thm)],[f301]) ).
fof(f313,plain,
( ( ( op(e0,e0) != e0
& op(e0,e0) = e0 )
| sP12_prd )
& ( op(e0,e0) = e0
| op(e0,e0) != e0
| ~ sP12_prd ) ),
inference(NNF_transformation,[status(thm)],[f264]) ).
fof(f315,plain,
( op(e0,e0) = e0
| sP12_prd ),
inference(cnf_transformation,[status(thm)],[f313]) ).
fof(f316,plain,
( op(e0,e0) != e0
| sP12_prd ),
inference(cnf_transformation,[status(thm)],[f313]) ).
fof(f317,plain,
( ( ( op(e1,e1) != e0
& op(e1,e0) = e1 )
| sP13_prd )
& ( op(e1,e1) = e0
| op(e1,e0) != e1
| ~ sP13_prd ) ),
inference(NNF_transformation,[status(thm)],[f265]) ).
fof(f318,plain,
( op(e1,e1) = e0
| op(e1,e0) != e1
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f317]) ).
fof(f319,plain,
( op(e1,e0) = e1
| sP13_prd ),
inference(cnf_transformation,[status(thm)],[f317]) ).
fof(f320,plain,
( op(e1,e1) != e0
| sP13_prd ),
inference(cnf_transformation,[status(thm)],[f317]) ).
fof(f321,definition,
( sP18_prd
<=> ( ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& 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,e1) != e3
& op(e3,e3) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& 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,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& 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(f322,plain,
( sP14_prd
<=> ( ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| sP18_prd ) ),
inference(formula_renaming,[status(thm)],[f287,f321]) ).
fof(f323,plain,
( ( ( ( op(e2,e2) = e2
| op(e2,e2) != e2
| op(e3,e3) = e2
| op(e3,e2) != e3 )
& ~ sP18_prd )
| sP14_prd )
& ( ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| sP18_prd
| ~ sP14_prd ) ),
inference(NNF_transformation,[status(thm)],[f322]) ).
fof(f324,plain,
( op(e3,e2) = e3
| sP18_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f323]) ).
fof(f325,plain,
( op(e3,e3) != e2
| sP18_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f323]) ).
fof(f326,plain,
( op(e2,e2) = e2
| sP18_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f323]) ).
fof(f327,plain,
( op(e2,e2) != e2
| sP18_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f323]) ).
fof(f328,plain,
( ~ sP18_prd
| sP14_prd ),
inference(cnf_transformation,[status(thm)],[f323]) ).
fof(f330,definition,
( sP19_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,e2) = e2
& op(e2,e1) = e2 )
| ( ( 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,e2) = e2
& op(e2,e0) = e2 )
| ( ( 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,e1) = e1
& op(e1,e3) = e1 )
| ( ( 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,e1) = e1
& op(e1,e2) = e1 )
| ( ( 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(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,e1) = e1
& op(e1,e0) = e1 )
| ( ( 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,e0) = e0
& op(e0,e3) = e0 )
| ( ( 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,e0) = e0
& op(e0,e2) = e0 )
| ( ( 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,e0) = e0
& op(e0,e1) = e0 )
| ( ( 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(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP19_prd])],[]) ).
fof(f331,plain,
( sP15_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(e2,e2) = e2 )
| sP19_prd ) ),
inference(formula_renaming,[status(thm)],[f296,f330]) ).
fof(f332,definition,
( sP20_prd
<=> ( op(e0,e0) = e2
| op(e0,e2) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP20_prd])],[]) ).
fof(f333,definition,
( sP21_prd
<=> ( op(e1,e1) = e2
| op(e1,e2) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP21_prd])],[]) ).
fof(f334,plain,
( sP15_prd
<=> ( ( ( op(e3,e3) = e2
| op(e3,e2) != e3 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& sP21_prd
& sP20_prd
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| sP19_prd ) ),
inference(formula_renaming,[status(thm)],[f331,f333,f332]) ).
fof(f335,plain,
( ( ( ( ( op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2 )
| ~ sP21_prd
| ~ sP20_prd
| op(e2,e2) != e2
| op(e2,e2) != e2 )
& ~ sP19_prd )
| sP15_prd )
& ( ( ( op(e3,e3) = e2
| op(e3,e2) != e3 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& sP21_prd
& sP20_prd
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| sP19_prd
| ~ sP15_prd ) ),
inference(NNF_transformation,[status(thm)],[f334]) ).
fof(f336,plain,
( op(e2,e2) = e2
| sP19_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f335]) ).
fof(f338,plain,
( sP20_prd
| sP19_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f335]) ).
fof(f339,plain,
( sP21_prd
| sP19_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f335]) ).
fof(f341,plain,
( op(e3,e3) = e2
| op(e3,e2) != e3
| sP19_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f335]) ).
fof(f342,plain,
( ~ sP19_prd
| sP15_prd ),
inference(cnf_transformation,[status(thm)],[f335]) ).
fof(f345,plain,
( op(e3,e2) = e3
| op(e2,e2) != e2
| ~ sP21_prd
| ~ sP20_prd
| op(e2,e2) != e2
| op(e2,e2) != e2
| sP15_prd ),
inference(cnf_transformation,[status(thm)],[f335]) ).
fof(f346,plain,
( op(e3,e3) != e2
| op(e2,e2) != e2
| ~ sP21_prd
| ~ sP20_prd
| op(e2,e2) != e2
| op(e2,e2) != e2
| sP15_prd ),
inference(cnf_transformation,[status(thm)],[f335]) ).
fof(f347,plain,
( ( ( op(e0,e0) != e3
& op(e0,e3) = e0 )
| sP16_prd )
& ( op(e0,e0) = e3
| op(e0,e3) != e0
| ~ sP16_prd ) ),
inference(NNF_transformation,[status(thm)],[f298]) ).
fof(f348,plain,
( op(e0,e0) = e3
| op(e0,e3) != e0
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f347]) ).
fof(f349,plain,
( op(e0,e3) = e0
| sP16_prd ),
inference(cnf_transformation,[status(thm)],[f347]) ).
fof(f350,plain,
( op(e0,e0) != e3
| sP16_prd ),
inference(cnf_transformation,[status(thm)],[f347]) ).
fof(f351,plain,
( ( ( op(e1,e1) != e3
& op(e1,e3) = e1 )
| sP17_prd )
& ( op(e1,e1) = e3
| op(e1,e3) != e1
| ~ sP17_prd ) ),
inference(NNF_transformation,[status(thm)],[f299]) ).
fof(f352,plain,
( op(e1,e1) = e3
| op(e1,e3) != e1
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f351]) ).
fof(f353,plain,
( op(e1,e3) = e1
| sP17_prd ),
inference(cnf_transformation,[status(thm)],[f351]) ).
fof(f354,plain,
( op(e1,e1) != e3
| sP17_prd ),
inference(cnf_transformation,[status(thm)],[f351]) ).
fof(f355,definition,
( sP22_prd
<=> ( ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& 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,e1) != e3
& op(e3,e3) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& 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,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& 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(f356,plain,
( sP18_prd
<=> ( ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| sP22_prd ) ),
inference(formula_renaming,[status(thm)],[f321,f355]) ).
fof(f357,plain,
( ( ( ( op(e1,e2) = e1
| op(e1,e1) != e2
| op(e3,e3) = e2
| op(e3,e2) != e3 )
& ~ sP22_prd )
| sP18_prd )
& ( ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| sP22_prd
| ~ sP18_prd ) ),
inference(NNF_transformation,[status(thm)],[f356]) ).
fof(f358,plain,
( op(e3,e2) = e3
| sP22_prd
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f357]) ).
fof(f359,plain,
( op(e3,e3) != e2
| sP22_prd
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f357]) ).
fof(f360,plain,
( op(e1,e1) = e2
| sP22_prd
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f357]) ).
fof(f361,plain,
( op(e1,e2) != e1
| sP22_prd
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f357]) ).
fof(f362,plain,
( ~ sP22_prd
| sP18_prd ),
inference(cnf_transformation,[status(thm)],[f357]) ).
fof(f364,definition,
( sP23_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,e2) = e2
& op(e2,e0) = e2 )
| ( ( 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,e1) = e1
& op(e1,e3) = e1 )
| ( ( 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,e1) = e1
& op(e1,e2) = e1 )
| ( ( 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(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,e1) = e1
& op(e1,e0) = e1 )
| ( ( 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,e0) = e0
& op(e0,e3) = e0 )
| ( ( 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,e0) = e0
& op(e0,e2) = e0 )
| ( ( 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,e0) = e0
& op(e0,e1) = e0 )
| ( ( 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(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP23_prd])],[]) ).
fof(f365,plain,
( sP19_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,e2) = e2
& op(e2,e1) = e2 )
| sP23_prd ) ),
inference(formula_renaming,[status(thm)],[f330,f364]) ).
fof(f366,definition,
( sP24_prd
<=> ( op(e0,e0) = e1
| op(e0,e1) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP24_prd])],[]) ).
fof(f367,definition,
( sP25_prd
<=> ( op(e1,e1) = e1
| op(e1,e1) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP25_prd])],[]) ).
fof(f368,plain,
( sP19_prd
<=> ( ( ( op(e3,e3) = e1
| op(e3,e1) != e3 )
& ( op(e2,e2) = e1
| op(e2,e1) != e2 )
& sP25_prd
& sP24_prd
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| sP23_prd ) ),
inference(formula_renaming,[status(thm)],[f365,f367,f366]) ).
fof(f369,plain,
( ( ( ( ( op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e2,e2) != e1
& op(e2,e1) = e2 )
| ~ sP25_prd
| ~ sP24_prd
| op(e1,e2) != e2
| op(e2,e1) != e2 )
& ~ sP23_prd )
| sP19_prd )
& ( ( ( op(e3,e3) = e1
| op(e3,e1) != e3 )
& ( op(e2,e2) = e1
| op(e2,e1) != e2 )
& sP25_prd
& sP24_prd
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| sP23_prd
| ~ sP19_prd ) ),
inference(NNF_transformation,[status(thm)],[f368]) ).
fof(f370,plain,
( op(e2,e1) = e2
| sP23_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f371,plain,
( op(e1,e2) = e2
| sP23_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f372,plain,
( sP24_prd
| sP23_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f374,plain,
( op(e2,e2) = e1
| op(e2,e1) != e2
| sP23_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f375,plain,
( op(e3,e3) = e1
| op(e3,e1) != e3
| sP23_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f376,plain,
( ~ sP23_prd
| sP19_prd ),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f381,plain,
( ( ( op(e0,e0) != e2
& op(e0,e2) = e0 )
| sP20_prd )
& ( op(e0,e0) = e2
| op(e0,e2) != e0
| ~ sP20_prd ) ),
inference(NNF_transformation,[status(thm)],[f332]) ).
fof(f382,plain,
( op(e0,e0) = e2
| op(e0,e2) != e0
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f381]) ).
fof(f383,plain,
( op(e0,e2) = e0
| sP20_prd ),
inference(cnf_transformation,[status(thm)],[f381]) ).
fof(f384,plain,
( op(e0,e0) != e2
| sP20_prd ),
inference(cnf_transformation,[status(thm)],[f381]) ).
fof(f385,plain,
( ( ( op(e1,e1) != e2
& op(e1,e2) = e1 )
| sP21_prd )
& ( op(e1,e1) = e2
| op(e1,e2) != e1
| ~ sP21_prd ) ),
inference(NNF_transformation,[status(thm)],[f333]) ).
fof(f386,plain,
( op(e1,e1) = e2
| op(e1,e2) != e1
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f385]) ).
fof(f387,plain,
( op(e1,e2) = e1
| sP21_prd ),
inference(cnf_transformation,[status(thm)],[f385]) ).
fof(f388,plain,
( op(e1,e1) != e2
| sP21_prd ),
inference(cnf_transformation,[status(thm)],[f385]) ).
fof(f389,definition,
( sP26_prd
<=> ( ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& 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,e1) != e3
& op(e3,e3) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& 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,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& 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(f390,plain,
( sP22_prd
<=> ( ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| sP26_prd ) ),
inference(formula_renaming,[status(thm)],[f355,f389]) ).
fof(f391,plain,
( ( ( ( op(e0,e2) = e0
| op(e0,e0) != e2
| op(e3,e3) = e2
| op(e3,e2) != e3 )
& ~ sP26_prd )
| sP22_prd )
& ( ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| sP26_prd
| ~ sP22_prd ) ),
inference(NNF_transformation,[status(thm)],[f390]) ).
fof(f392,plain,
( op(e3,e2) = e3
| sP26_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f391]) ).
fof(f393,plain,
( op(e3,e3) != e2
| sP26_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f391]) ).
fof(f394,plain,
( op(e0,e0) = e2
| sP26_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f391]) ).
fof(f395,plain,
( op(e0,e2) != e0
| sP26_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f391]) ).
fof(f396,plain,
( ~ sP26_prd
| sP22_prd ),
inference(cnf_transformation,[status(thm)],[f391]) ).
fof(f398,definition,
( sP27_prd
<=> ( ( ( 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,e1) = e1
& op(e1,e3) = e1 )
| ( ( 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,e1) = e1
& op(e1,e2) = e1 )
| ( ( 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(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,e1) = e1
& op(e1,e0) = e1 )
| ( ( 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,e0) = e0
& op(e0,e3) = e0 )
| ( ( 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,e0) = e0
& op(e0,e2) = e0 )
| ( ( 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,e0) = e0
& op(e0,e1) = e0 )
| ( ( 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(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP27_prd])],[]) ).
fof(f399,plain,
( sP23_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,e2) = e2
& op(e2,e0) = e2 )
| sP27_prd ) ),
inference(formula_renaming,[status(thm)],[f364,f398]) ).
fof(f400,definition,
( sP28_prd
<=> ( op(e0,e0) = e0
| op(e0,e0) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP28_prd])],[]) ).
fof(f401,definition,
( sP29_prd
<=> ( op(e1,e1) = e0
| op(e1,e0) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP29_prd])],[]) ).
fof(f402,plain,
( sP23_prd
<=> ( ( ( op(e3,e3) = e0
| op(e3,e0) != e3 )
& ( op(e2,e2) = e0
| op(e2,e0) != e2 )
& sP29_prd
& sP28_prd
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| sP27_prd ) ),
inference(formula_renaming,[status(thm)],[f399,f401,f400]) ).
fof(f403,plain,
( ( ( ( ( op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e2,e2) != e0
& op(e2,e0) = e2 )
| ~ sP29_prd
| ~ sP28_prd
| op(e0,e2) != e2
| op(e2,e0) != e2 )
& ~ sP27_prd )
| sP23_prd )
& ( ( ( op(e3,e3) = e0
| op(e3,e0) != e3 )
& ( op(e2,e2) = e0
| op(e2,e0) != e2 )
& sP29_prd
& sP28_prd
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| sP27_prd
| ~ sP23_prd ) ),
inference(NNF_transformation,[status(thm)],[f402]) ).
fof(f404,plain,
( op(e2,e0) = e2
| sP27_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f403]) ).
fof(f405,plain,
( op(e0,e2) = e2
| sP27_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f403]) ).
fof(f407,plain,
( sP29_prd
| sP27_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f403]) ).
fof(f408,plain,
( op(e2,e2) = e0
| op(e2,e0) != e2
| sP27_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f403]) ).
fof(f409,plain,
( op(e3,e3) = e0
| op(e3,e0) != e3
| sP27_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f403]) ).
fof(f410,plain,
( ~ sP27_prd
| sP23_prd ),
inference(cnf_transformation,[status(thm)],[f403]) ).
fof(f415,plain,
( ( ( op(e0,e0) != e1
& op(e0,e1) = e0 )
| sP24_prd )
& ( op(e0,e0) = e1
| op(e0,e1) != e0
| ~ sP24_prd ) ),
inference(NNF_transformation,[status(thm)],[f366]) ).
fof(f416,plain,
( op(e0,e0) = e1
| op(e0,e1) != e0
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f415]) ).
fof(f417,plain,
( op(e0,e1) = e0
| sP24_prd ),
inference(cnf_transformation,[status(thm)],[f415]) ).
fof(f418,plain,
( op(e0,e0) != e1
| sP24_prd ),
inference(cnf_transformation,[status(thm)],[f415]) ).
fof(f419,plain,
( ( ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| sP25_prd )
& ( op(e1,e1) = e1
| op(e1,e1) != e1
| ~ sP25_prd ) ),
inference(NNF_transformation,[status(thm)],[f367]) ).
fof(f421,plain,
( op(e1,e1) = e1
| sP25_prd ),
inference(cnf_transformation,[status(thm)],[f419]) ).
fof(f422,plain,
( op(e1,e1) != e1
| sP25_prd ),
inference(cnf_transformation,[status(thm)],[f419]) ).
fof(f423,definition,
( sP30_prd
<=> ( ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& 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,e1) != e3
& op(e3,e3) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& 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,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& 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(f424,plain,
( sP26_prd
<=> ( ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| sP30_prd ) ),
inference(formula_renaming,[status(thm)],[f389,f423]) ).
fof(f425,plain,
( ( ( ( op(e3,e1) = e3
| op(e3,e3) != e1
| op(e3,e3) = e1
| op(e3,e1) != e3 )
& ~ sP30_prd )
| sP26_prd )
& ( ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| sP30_prd
| ~ sP26_prd ) ),
inference(NNF_transformation,[status(thm)],[f424]) ).
fof(f426,plain,
( op(e3,e1) = e3
| sP30_prd
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f425]) ).
fof(f427,plain,
( op(e3,e3) != e1
| sP30_prd
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f425]) ).
fof(f428,plain,
( op(e3,e3) = e1
| sP30_prd
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f425]) ).
fof(f429,plain,
( op(e3,e1) != e3
| sP30_prd
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f425]) ).
fof(f430,plain,
( ~ sP30_prd
| sP26_prd ),
inference(cnf_transformation,[status(thm)],[f425]) ).
fof(f432,definition,
( sP31_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,e1) = e1
& op(e1,e2) = e1 )
| ( ( 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(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,e1) = e1
& op(e1,e0) = e1 )
| ( ( 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,e0) = e0
& op(e0,e3) = e0 )
| ( ( 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,e0) = e0
& op(e0,e2) = e0 )
| ( ( 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,e0) = e0
& op(e0,e1) = e0 )
| ( ( 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(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP31_prd])],[]) ).
fof(f433,plain,
( sP27_prd
<=> ( ( ( 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,e1) = e1
& op(e1,e3) = e1 )
| sP31_prd ) ),
inference(formula_renaming,[status(thm)],[f398,f432]) ).
fof(f434,definition,
( sP32_prd
<=> ( op(e0,e0) = e3
| op(e0,e3) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP32_prd])],[]) ).
fof(f435,definition,
( sP33_prd
<=> ( op(e1,e1) = e3
| op(e1,e3) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP33_prd])],[]) ).
fof(f436,plain,
( sP27_prd
<=> ( ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e2,e2) = e3
| op(e2,e3) != e2 )
& sP33_prd
& sP32_prd
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| sP31_prd ) ),
inference(formula_renaming,[status(thm)],[f433,f435,f434]) ).
fof(f437,plain,
( ( ( ( ( op(e3,e3) != e3
& op(e3,e3) = e3 )
| ( op(e2,e2) != e3
& op(e2,e3) = e2 )
| ~ sP33_prd
| ~ sP32_prd
| op(e3,e1) != e1
| op(e1,e3) != e1 )
& ~ sP31_prd )
| sP27_prd )
& ( ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e2,e2) = e3
| op(e2,e3) != e2 )
& sP33_prd
& sP32_prd
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| sP31_prd
| ~ sP27_prd ) ),
inference(NNF_transformation,[status(thm)],[f436]) ).
fof(f438,plain,
( op(e1,e3) = e1
| sP31_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f437]) ).
fof(f439,plain,
( op(e3,e1) = e1
| sP31_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f437]) ).
fof(f440,plain,
( sP32_prd
| sP31_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f437]) ).
fof(f441,plain,
( sP33_prd
| sP31_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f437]) ).
fof(f442,plain,
( op(e2,e2) = e3
| op(e2,e3) != e2
| sP31_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f437]) ).
fof(f444,plain,
( ~ sP31_prd
| sP27_prd ),
inference(cnf_transformation,[status(thm)],[f437]) ).
fof(f445,plain,
( op(e3,e3) = e3
| op(e2,e3) = e2
| ~ sP33_prd
| ~ sP32_prd
| op(e3,e1) != e1
| op(e1,e3) != e1
| sP27_prd ),
inference(cnf_transformation,[status(thm)],[f437]) ).
fof(f446,plain,
( op(e3,e3) != e3
| op(e2,e3) = e2
| ~ sP33_prd
| ~ sP32_prd
| op(e3,e1) != e1
| op(e1,e3) != e1
| sP27_prd ),
inference(cnf_transformation,[status(thm)],[f437]) ).
fof(f447,plain,
( op(e3,e3) = e3
| op(e2,e2) != e3
| ~ sP33_prd
| ~ sP32_prd
| op(e3,e1) != e1
| op(e1,e3) != e1
| sP27_prd ),
inference(cnf_transformation,[status(thm)],[f437]) ).
fof(f448,plain,
( op(e3,e3) != e3
| op(e2,e2) != e3
| ~ sP33_prd
| ~ sP32_prd
| op(e3,e1) != e1
| op(e1,e3) != e1
| sP27_prd ),
inference(cnf_transformation,[status(thm)],[f437]) ).
fof(f449,plain,
( ( ( op(e0,e0) != e0
& op(e0,e0) = e0 )
| sP28_prd )
& ( op(e0,e0) = e0
| op(e0,e0) != e0
| ~ sP28_prd ) ),
inference(NNF_transformation,[status(thm)],[f400]) ).
fof(f451,plain,
( op(e0,e0) = e0
| sP28_prd ),
inference(cnf_transformation,[status(thm)],[f449]) ).
fof(f452,plain,
( op(e0,e0) != e0
| sP28_prd ),
inference(cnf_transformation,[status(thm)],[f449]) ).
fof(f453,plain,
( ( ( op(e1,e1) != e0
& op(e1,e0) = e1 )
| sP29_prd )
& ( op(e1,e1) = e0
| op(e1,e0) != e1
| ~ sP29_prd ) ),
inference(NNF_transformation,[status(thm)],[f401]) ).
fof(f454,plain,
( op(e1,e1) = e0
| op(e1,e0) != e1
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f453]) ).
fof(f455,plain,
( op(e1,e0) = e1
| sP29_prd ),
inference(cnf_transformation,[status(thm)],[f453]) ).
fof(f456,plain,
( op(e1,e1) != e0
| sP29_prd ),
inference(cnf_transformation,[status(thm)],[f453]) ).
fof(f457,definition,
( sP34_prd
<=> ( ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& 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,e1) != e3
& op(e3,e3) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& 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,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& 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(f458,plain,
( sP30_prd
<=> ( ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| sP34_prd ) ),
inference(formula_renaming,[status(thm)],[f423,f457]) ).
fof(f459,plain,
( ( ( ( op(e2,e1) = e2
| op(e2,e2) != e1
| op(e3,e3) = e1
| op(e3,e1) != e3 )
& ~ sP34_prd )
| sP30_prd )
& ( ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| sP34_prd
| ~ sP30_prd ) ),
inference(NNF_transformation,[status(thm)],[f458]) ).
fof(f460,plain,
( op(e3,e1) = e3
| sP34_prd
| ~ sP30_prd ),
inference(cnf_transformation,[status(thm)],[f459]) ).
fof(f461,plain,
( op(e3,e3) != e1
| sP34_prd
| ~ sP30_prd ),
inference(cnf_transformation,[status(thm)],[f459]) ).
fof(f462,plain,
( op(e2,e2) = e1
| sP34_prd
| ~ sP30_prd ),
inference(cnf_transformation,[status(thm)],[f459]) ).
fof(f463,plain,
( op(e2,e1) != e2
| sP34_prd
| ~ sP30_prd ),
inference(cnf_transformation,[status(thm)],[f459]) ).
fof(f464,plain,
( ~ sP34_prd
| sP30_prd ),
inference(cnf_transformation,[status(thm)],[f459]) ).
fof(f466,definition,
( sP35_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(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,e1) = e1
& op(e1,e0) = e1 )
| ( ( 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,e0) = e0
& op(e0,e3) = e0 )
| ( ( 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,e0) = e0
& op(e0,e2) = e0 )
| ( ( 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,e0) = e0
& op(e0,e1) = e0 )
| ( ( 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(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP35_prd])],[]) ).
fof(f467,plain,
( sP31_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,e1) = e1
& op(e1,e2) = e1 )
| sP35_prd ) ),
inference(formula_renaming,[status(thm)],[f432,f466]) ).
fof(f468,definition,
( sP36_prd
<=> ( op(e0,e0) = e2
| op(e0,e2) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP36_prd])],[]) ).
fof(f469,definition,
( sP37_prd
<=> ( op(e1,e1) = e2
| op(e1,e2) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP37_prd])],[]) ).
fof(f470,plain,
( sP31_prd
<=> ( ( ( op(e3,e3) = e2
| op(e3,e2) != e3 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& sP37_prd
& sP36_prd
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| sP35_prd ) ),
inference(formula_renaming,[status(thm)],[f467,f469,f468]) ).
fof(f471,plain,
( ( ( ( ( op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2 )
| ~ sP37_prd
| ~ sP36_prd
| op(e2,e1) != e1
| op(e1,e2) != e1 )
& ~ sP35_prd )
| sP31_prd )
& ( ( ( op(e3,e3) = e2
| op(e3,e2) != e3 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& sP37_prd
& sP36_prd
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| sP35_prd
| ~ sP31_prd ) ),
inference(NNF_transformation,[status(thm)],[f470]) ).
fof(f472,plain,
( op(e1,e2) = e1
| sP35_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f471]) ).
fof(f473,plain,
( op(e2,e1) = e1
| sP35_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f471]) ).
fof(f474,plain,
( sP36_prd
| sP35_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f471]) ).
fof(f475,plain,
( sP37_prd
| sP35_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f471]) ).
fof(f477,plain,
( op(e3,e3) = e2
| op(e3,e2) != e3
| sP35_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f471]) ).
fof(f478,plain,
( ~ sP35_prd
| sP31_prd ),
inference(cnf_transformation,[status(thm)],[f471]) ).
fof(f479,plain,
( op(e3,e2) = e3
| op(e2,e2) = e2
| ~ sP37_prd
| ~ sP36_prd
| op(e2,e1) != e1
| op(e1,e2) != e1
| sP31_prd ),
inference(cnf_transformation,[status(thm)],[f471]) ).
fof(f483,plain,
( ( ( op(e0,e0) != e3
& op(e0,e3) = e0 )
| sP32_prd )
& ( op(e0,e0) = e3
| op(e0,e3) != e0
| ~ sP32_prd ) ),
inference(NNF_transformation,[status(thm)],[f434]) ).
fof(f484,plain,
( op(e0,e0) = e3
| op(e0,e3) != e0
| ~ sP32_prd ),
inference(cnf_transformation,[status(thm)],[f483]) ).
fof(f485,plain,
( op(e0,e3) = e0
| sP32_prd ),
inference(cnf_transformation,[status(thm)],[f483]) ).
fof(f486,plain,
( op(e0,e0) != e3
| sP32_prd ),
inference(cnf_transformation,[status(thm)],[f483]) ).
fof(f487,plain,
( ( ( op(e1,e1) != e3
& op(e1,e3) = e1 )
| sP33_prd )
& ( op(e1,e1) = e3
| op(e1,e3) != e1
| ~ sP33_prd ) ),
inference(NNF_transformation,[status(thm)],[f435]) ).
fof(f488,plain,
( op(e1,e1) = e3
| op(e1,e3) != e1
| ~ sP33_prd ),
inference(cnf_transformation,[status(thm)],[f487]) ).
fof(f489,plain,
( op(e1,e3) = e1
| sP33_prd ),
inference(cnf_transformation,[status(thm)],[f487]) ).
fof(f490,plain,
( op(e1,e1) != e3
| sP33_prd ),
inference(cnf_transformation,[status(thm)],[f487]) ).
fof(f491,definition,
( sP38_prd
<=> ( ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& 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,e1) != e3
& op(e3,e3) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& 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,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& 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(f492,plain,
( sP34_prd
<=> ( ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| sP38_prd ) ),
inference(formula_renaming,[status(thm)],[f457,f491]) ).
fof(f493,plain,
( ( ( ( op(e1,e1) = e1
| op(e1,e1) != e1
| op(e3,e3) = e1
| op(e3,e1) != e3 )
& ~ sP38_prd )
| sP34_prd )
& ( ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| sP38_prd
| ~ sP34_prd ) ),
inference(NNF_transformation,[status(thm)],[f492]) ).
fof(f494,plain,
( op(e3,e1) = e3
| sP38_prd
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f493]) ).
fof(f495,plain,
( op(e3,e3) != e1
| sP38_prd
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f493]) ).
fof(f496,plain,
( op(e1,e1) = e1
| sP38_prd
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f493]) ).
fof(f497,plain,
( op(e1,e1) != e1
| sP38_prd
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f493]) ).
fof(f498,plain,
( ~ sP38_prd
| sP34_prd ),
inference(cnf_transformation,[status(thm)],[f493]) ).
fof(f500,definition,
( sP39_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,e1) = e1
& op(e1,e0) = e1 )
| ( ( 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,e0) = e0
& op(e0,e3) = e0 )
| ( ( 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,e0) = e0
& op(e0,e2) = e0 )
| ( ( 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,e0) = e0
& op(e0,e1) = e0 )
| ( ( 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(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP39_prd])],[]) ).
fof(f501,plain,
( sP35_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(e1,e1) = e1 )
| sP39_prd ) ),
inference(formula_renaming,[status(thm)],[f466,f500]) ).
fof(f502,definition,
( sP40_prd
<=> ( op(e0,e0) = e1
| op(e0,e1) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP40_prd])],[]) ).
fof(f503,definition,
( sP41_prd
<=> ( op(e1,e1) = e1
| op(e1,e1) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP41_prd])],[]) ).
fof(f504,plain,
( sP35_prd
<=> ( ( ( op(e3,e3) = e1
| op(e3,e1) != e3 )
& ( op(e2,e2) = e1
| op(e2,e1) != e2 )
& sP41_prd
& sP40_prd
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| sP39_prd ) ),
inference(formula_renaming,[status(thm)],[f501,f503,f502]) ).
fof(f505,plain,
( ( ( ( ( op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e2,e2) != e1
& op(e2,e1) = e2 )
| ~ sP41_prd
| ~ sP40_prd
| op(e1,e1) != e1
| op(e1,e1) != e1 )
& ~ sP39_prd )
| sP35_prd )
& ( ( ( op(e3,e3) = e1
| op(e3,e1) != e3 )
& ( op(e2,e2) = e1
| op(e2,e1) != e2 )
& sP41_prd
& sP40_prd
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| sP39_prd
| ~ sP35_prd ) ),
inference(NNF_transformation,[status(thm)],[f504]) ).
fof(f506,plain,
( op(e1,e1) = e1
| sP39_prd
| ~ sP35_prd ),
inference(cnf_transformation,[status(thm)],[f505]) ).
fof(f508,plain,
( sP40_prd
| sP39_prd
| ~ sP35_prd ),
inference(cnf_transformation,[status(thm)],[f505]) ).
fof(f510,plain,
( op(e2,e2) = e1
| op(e2,e1) != e2
| sP39_prd
| ~ sP35_prd ),
inference(cnf_transformation,[status(thm)],[f505]) ).
fof(f511,plain,
( op(e3,e3) = e1
| op(e3,e1) != e3
| sP39_prd
| ~ sP35_prd ),
inference(cnf_transformation,[status(thm)],[f505]) ).
fof(f512,plain,
( ~ sP39_prd
| sP35_prd ),
inference(cnf_transformation,[status(thm)],[f505]) ).
fof(f513,plain,
( op(e3,e1) = e3
| op(e2,e1) = e2
| ~ sP41_prd
| ~ sP40_prd
| op(e1,e1) != e1
| op(e1,e1) != e1
| sP35_prd ),
inference(cnf_transformation,[status(thm)],[f505]) ).
fof(f514,plain,
( op(e3,e3) != e1
| op(e2,e1) = e2
| ~ sP41_prd
| ~ sP40_prd
| op(e1,e1) != e1
| op(e1,e1) != e1
| sP35_prd ),
inference(cnf_transformation,[status(thm)],[f505]) ).
fof(f515,plain,
( op(e3,e1) = e3
| op(e2,e2) != e1
| ~ sP41_prd
| ~ sP40_prd
| op(e1,e1) != e1
| op(e1,e1) != e1
| sP35_prd ),
inference(cnf_transformation,[status(thm)],[f505]) ).
fof(f516,plain,
( op(e3,e3) != e1
| op(e2,e2) != e1
| ~ sP41_prd
| ~ sP40_prd
| op(e1,e1) != e1
| op(e1,e1) != e1
| sP35_prd ),
inference(cnf_transformation,[status(thm)],[f505]) ).
fof(f517,plain,
( ( ( op(e0,e0) != e2
& op(e0,e2) = e0 )
| sP36_prd )
& ( op(e0,e0) = e2
| op(e0,e2) != e0
| ~ sP36_prd ) ),
inference(NNF_transformation,[status(thm)],[f468]) ).
fof(f518,plain,
( op(e0,e0) = e2
| op(e0,e2) != e0
| ~ sP36_prd ),
inference(cnf_transformation,[status(thm)],[f517]) ).
fof(f519,plain,
( op(e0,e2) = e0
| sP36_prd ),
inference(cnf_transformation,[status(thm)],[f517]) ).
fof(f520,plain,
( op(e0,e0) != e2
| sP36_prd ),
inference(cnf_transformation,[status(thm)],[f517]) ).
fof(f521,plain,
( ( ( op(e1,e1) != e2
& op(e1,e2) = e1 )
| sP37_prd )
& ( op(e1,e1) = e2
| op(e1,e2) != e1
| ~ sP37_prd ) ),
inference(NNF_transformation,[status(thm)],[f469]) ).
fof(f522,plain,
( op(e1,e1) = e2
| op(e1,e2) != e1
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f521]) ).
fof(f523,plain,
( op(e1,e2) = e1
| sP37_prd ),
inference(cnf_transformation,[status(thm)],[f521]) ).
fof(f524,plain,
( op(e1,e1) != e2
| sP37_prd ),
inference(cnf_transformation,[status(thm)],[f521]) ).
fof(f525,definition,
( sP42_prd
<=> ( ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& 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,e1) != e3
& op(e3,e3) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& 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,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& 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(f526,plain,
( sP38_prd
<=> ( ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| sP42_prd ) ),
inference(formula_renaming,[status(thm)],[f491,f525]) ).
fof(f527,plain,
( ( ( ( op(e0,e1) = e0
| op(e0,e0) != e1
| op(e3,e3) = e1
| op(e3,e1) != e3 )
& ~ sP42_prd )
| sP38_prd )
& ( ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| sP42_prd
| ~ sP38_prd ) ),
inference(NNF_transformation,[status(thm)],[f526]) ).
fof(f528,plain,
( op(e3,e1) = e3
| sP42_prd
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f527]) ).
fof(f529,plain,
( op(e3,e3) != e1
| sP42_prd
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f527]) ).
fof(f530,plain,
( op(e0,e0) = e1
| sP42_prd
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f527]) ).
fof(f531,plain,
( op(e0,e1) != e0
| sP42_prd
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f527]) ).
fof(f532,plain,
( ~ sP42_prd
| sP38_prd ),
inference(cnf_transformation,[status(thm)],[f527]) ).
fof(f534,definition,
( sP43_prd
<=> ( ( ( 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,e0) = e0
& op(e0,e3) = e0 )
| ( ( 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,e0) = e0
& op(e0,e2) = e0 )
| ( ( 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,e0) = e0
& op(e0,e1) = e0 )
| ( ( 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(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP43_prd])],[]) ).
fof(f535,plain,
( sP39_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,e1) = e1
& op(e1,e0) = e1 )
| sP43_prd ) ),
inference(formula_renaming,[status(thm)],[f500,f534]) ).
fof(f536,definition,
( sP44_prd
<=> ( op(e0,e0) = e0
| op(e0,e0) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP44_prd])],[]) ).
fof(f537,definition,
( sP45_prd
<=> ( op(e1,e1) = e0
| op(e1,e0) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP45_prd])],[]) ).
fof(f538,plain,
( sP39_prd
<=> ( ( ( op(e3,e3) = e0
| op(e3,e0) != e3 )
& ( op(e2,e2) = e0
| op(e2,e0) != e2 )
& sP45_prd
& sP44_prd
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| sP43_prd ) ),
inference(formula_renaming,[status(thm)],[f535,f537,f536]) ).
fof(f539,plain,
( ( ( ( ( op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e2,e2) != e0
& op(e2,e0) = e2 )
| ~ sP45_prd
| ~ sP44_prd
| op(e0,e1) != e1
| op(e1,e0) != e1 )
& ~ sP43_prd )
| sP39_prd )
& ( ( ( op(e3,e3) = e0
| op(e3,e0) != e3 )
& ( op(e2,e2) = e0
| op(e2,e0) != e2 )
& sP45_prd
& sP44_prd
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| sP43_prd
| ~ sP39_prd ) ),
inference(NNF_transformation,[status(thm)],[f538]) ).
fof(f540,plain,
( op(e1,e0) = e1
| sP43_prd
| ~ sP39_prd ),
inference(cnf_transformation,[status(thm)],[f539]) ).
fof(f541,plain,
( op(e0,e1) = e1
| sP43_prd
| ~ sP39_prd ),
inference(cnf_transformation,[status(thm)],[f539]) ).
fof(f543,plain,
( sP45_prd
| sP43_prd
| ~ sP39_prd ),
inference(cnf_transformation,[status(thm)],[f539]) ).
fof(f544,plain,
( op(e2,e2) = e0
| op(e2,e0) != e2
| sP43_prd
| ~ sP39_prd ),
inference(cnf_transformation,[status(thm)],[f539]) ).
fof(f545,plain,
( op(e3,e3) = e0
| op(e3,e0) != e3
| sP43_prd
| ~ sP39_prd ),
inference(cnf_transformation,[status(thm)],[f539]) ).
fof(f546,plain,
( ~ sP43_prd
| sP39_prd ),
inference(cnf_transformation,[status(thm)],[f539]) ).
fof(f547,plain,
( op(e3,e0) = e3
| op(e2,e0) = e2
| ~ sP45_prd
| ~ sP44_prd
| op(e0,e1) != e1
| op(e1,e0) != e1
| sP39_prd ),
inference(cnf_transformation,[status(thm)],[f539]) ).
fof(f551,plain,
( ( ( op(e0,e0) != e1
& op(e0,e1) = e0 )
| sP40_prd )
& ( op(e0,e0) = e1
| op(e0,e1) != e0
| ~ sP40_prd ) ),
inference(NNF_transformation,[status(thm)],[f502]) ).
fof(f552,plain,
( op(e0,e0) = e1
| op(e0,e1) != e0
| ~ sP40_prd ),
inference(cnf_transformation,[status(thm)],[f551]) ).
fof(f553,plain,
( op(e0,e1) = e0
| sP40_prd ),
inference(cnf_transformation,[status(thm)],[f551]) ).
fof(f554,plain,
( op(e0,e0) != e1
| sP40_prd ),
inference(cnf_transformation,[status(thm)],[f551]) ).
fof(f555,plain,
( ( ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| sP41_prd )
& ( op(e1,e1) = e1
| op(e1,e1) != e1
| ~ sP41_prd ) ),
inference(NNF_transformation,[status(thm)],[f503]) ).
fof(f557,plain,
( op(e1,e1) = e1
| sP41_prd ),
inference(cnf_transformation,[status(thm)],[f555]) ).
fof(f558,plain,
( op(e1,e1) != e1
| sP41_prd ),
inference(cnf_transformation,[status(thm)],[f555]) ).
fof(f559,definition,
( sP46_prd
<=> ( ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& 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,e1) != e3
& op(e3,e3) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& 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,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& 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(f560,plain,
( sP42_prd
<=> ( ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| sP46_prd ) ),
inference(formula_renaming,[status(thm)],[f525,f559]) ).
fof(f561,plain,
( ( ( ( op(e3,e0) = e3
| op(e3,e3) != e0
| op(e3,e3) = e0
| op(e3,e0) != e3 )
& ~ sP46_prd )
| sP42_prd )
& ( ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| sP46_prd
| ~ sP42_prd ) ),
inference(NNF_transformation,[status(thm)],[f560]) ).
fof(f562,plain,
( op(e3,e0) = e3
| sP46_prd
| ~ sP42_prd ),
inference(cnf_transformation,[status(thm)],[f561]) ).
fof(f563,plain,
( op(e3,e3) != e0
| sP46_prd
| ~ sP42_prd ),
inference(cnf_transformation,[status(thm)],[f561]) ).
fof(f564,plain,
( op(e3,e3) = e0
| sP46_prd
| ~ sP42_prd ),
inference(cnf_transformation,[status(thm)],[f561]) ).
fof(f565,plain,
( op(e3,e0) != e3
| sP46_prd
| ~ sP42_prd ),
inference(cnf_transformation,[status(thm)],[f561]) ).
fof(f566,plain,
( ~ sP46_prd
| sP42_prd ),
inference(cnf_transformation,[status(thm)],[f561]) ).
fof(f568,definition,
( sP47_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,e0) = e0
& op(e0,e2) = e0 )
| ( ( 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,e0) = e0
& op(e0,e1) = e0 )
| ( ( 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(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP47_prd])],[]) ).
fof(f569,plain,
( sP43_prd
<=> ( ( ( 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,e0) = e0
& op(e0,e3) = e0 )
| sP47_prd ) ),
inference(formula_renaming,[status(thm)],[f534,f568]) ).
fof(f570,definition,
( sP48_prd
<=> ( op(e0,e0) = e3
| op(e0,e3) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP48_prd])],[]) ).
fof(f571,definition,
( sP49_prd
<=> ( op(e1,e1) = e3
| op(e1,e3) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP49_prd])],[]) ).
fof(f572,plain,
( sP43_prd
<=> ( ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e2,e2) = e3
| op(e2,e3) != e2 )
& sP49_prd
& sP48_prd
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| sP47_prd ) ),
inference(formula_renaming,[status(thm)],[f569,f571,f570]) ).
fof(f573,plain,
( ( ( ( ( op(e3,e3) != e3
& op(e3,e3) = e3 )
| ( op(e2,e2) != e3
& op(e2,e3) = e2 )
| ~ sP49_prd
| ~ sP48_prd
| op(e3,e0) != e0
| op(e0,e3) != e0 )
& ~ sP47_prd )
| sP43_prd )
& ( ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e2,e2) = e3
| op(e2,e3) != e2 )
& sP49_prd
& sP48_prd
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| sP47_prd
| ~ sP43_prd ) ),
inference(NNF_transformation,[status(thm)],[f572]) ).
fof(f574,plain,
( op(e0,e3) = e0
| sP47_prd
| ~ sP43_prd ),
inference(cnf_transformation,[status(thm)],[f573]) ).
fof(f575,plain,
( op(e3,e0) = e0
| sP47_prd
| ~ sP43_prd ),
inference(cnf_transformation,[status(thm)],[f573]) ).
fof(f576,plain,
( sP48_prd
| sP47_prd
| ~ sP43_prd ),
inference(cnf_transformation,[status(thm)],[f573]) ).
fof(f577,plain,
( sP49_prd
| sP47_prd
| ~ sP43_prd ),
inference(cnf_transformation,[status(thm)],[f573]) ).
fof(f578,plain,
( op(e2,e2) = e3
| op(e2,e3) != e2
| sP47_prd
| ~ sP43_prd ),
inference(cnf_transformation,[status(thm)],[f573]) ).
fof(f580,plain,
( ~ sP47_prd
| sP43_prd ),
inference(cnf_transformation,[status(thm)],[f573]) ).
fof(f582,plain,
( op(e3,e3) != e3
| op(e2,e3) = e2
| ~ sP49_prd
| ~ sP48_prd
| op(e3,e0) != e0
| op(e0,e3) != e0
| sP43_prd ),
inference(cnf_transformation,[status(thm)],[f573]) ).
fof(f585,plain,
( ( ( op(e0,e0) != e0
& op(e0,e0) = e0 )
| sP44_prd )
& ( op(e0,e0) = e0
| op(e0,e0) != e0
| ~ sP44_prd ) ),
inference(NNF_transformation,[status(thm)],[f536]) ).
fof(f587,plain,
( op(e0,e0) = e0
| sP44_prd ),
inference(cnf_transformation,[status(thm)],[f585]) ).
fof(f588,plain,
( op(e0,e0) != e0
| sP44_prd ),
inference(cnf_transformation,[status(thm)],[f585]) ).
fof(f589,plain,
( ( ( op(e1,e1) != e0
& op(e1,e0) = e1 )
| sP45_prd )
& ( op(e1,e1) = e0
| op(e1,e0) != e1
| ~ sP45_prd ) ),
inference(NNF_transformation,[status(thm)],[f537]) ).
fof(f590,plain,
( op(e1,e1) = e0
| op(e1,e0) != e1
| ~ sP45_prd ),
inference(cnf_transformation,[status(thm)],[f589]) ).
fof(f591,plain,
( op(e1,e0) = e1
| sP45_prd ),
inference(cnf_transformation,[status(thm)],[f589]) ).
fof(f592,plain,
( op(e1,e1) != e0
| sP45_prd ),
inference(cnf_transformation,[status(thm)],[f589]) ).
fof(f593,definition,
( sP50_prd
<=> ( ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& 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,e1) != e3
& op(e3,e3) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& 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,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& 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(f594,plain,
( sP46_prd
<=> ( ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| sP50_prd ) ),
inference(formula_renaming,[status(thm)],[f559,f593]) ).
fof(f595,plain,
( ( ( ( op(e2,e0) = e2
| op(e2,e2) != e0
| op(e3,e3) = e0
| op(e3,e0) != e3 )
& ~ sP50_prd )
| sP46_prd )
& ( ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| sP50_prd
| ~ sP46_prd ) ),
inference(NNF_transformation,[status(thm)],[f594]) ).
fof(f596,plain,
( op(e3,e0) = e3
| sP50_prd
| ~ sP46_prd ),
inference(cnf_transformation,[status(thm)],[f595]) ).
fof(f597,plain,
( op(e3,e3) != e0
| sP50_prd
| ~ sP46_prd ),
inference(cnf_transformation,[status(thm)],[f595]) ).
fof(f598,plain,
( op(e2,e2) = e0
| sP50_prd
| ~ sP46_prd ),
inference(cnf_transformation,[status(thm)],[f595]) ).
fof(f599,plain,
( op(e2,e0) != e2
| sP50_prd
| ~ sP46_prd ),
inference(cnf_transformation,[status(thm)],[f595]) ).
fof(f600,plain,
( ~ sP50_prd
| sP46_prd ),
inference(cnf_transformation,[status(thm)],[f595]) ).
fof(f602,definition,
( sP51_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,e0) = e0
& op(e0,e1) = e0 )
| ( ( 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(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP51_prd])],[]) ).
fof(f603,plain,
( sP47_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,e0) = e0
& op(e0,e2) = e0 )
| sP51_prd ) ),
inference(formula_renaming,[status(thm)],[f568,f602]) ).
fof(f604,definition,
( sP52_prd
<=> ( op(e0,e0) = e2
| op(e0,e2) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP52_prd])],[]) ).
fof(f605,definition,
( sP53_prd
<=> ( op(e1,e1) = e2
| op(e1,e2) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP53_prd])],[]) ).
fof(f606,plain,
( sP47_prd
<=> ( ( ( op(e3,e3) = e2
| op(e3,e2) != e3 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& sP53_prd
& sP52_prd
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| sP51_prd ) ),
inference(formula_renaming,[status(thm)],[f603,f605,f604]) ).
fof(f607,plain,
( ( ( ( ( op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2 )
| ~ sP53_prd
| ~ sP52_prd
| op(e2,e0) != e0
| op(e0,e2) != e0 )
& ~ sP51_prd )
| sP47_prd )
& ( ( ( op(e3,e3) = e2
| op(e3,e2) != e3 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& sP53_prd
& sP52_prd
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| sP51_prd
| ~ sP47_prd ) ),
inference(NNF_transformation,[status(thm)],[f606]) ).
fof(f608,plain,
( op(e0,e2) = e0
| sP51_prd
| ~ sP47_prd ),
inference(cnf_transformation,[status(thm)],[f607]) ).
fof(f609,plain,
( op(e2,e0) = e0
| sP51_prd
| ~ sP47_prd ),
inference(cnf_transformation,[status(thm)],[f607]) ).
fof(f610,plain,
( sP52_prd
| sP51_prd
| ~ sP47_prd ),
inference(cnf_transformation,[status(thm)],[f607]) ).
fof(f611,plain,
( sP53_prd
| sP51_prd
| ~ sP47_prd ),
inference(cnf_transformation,[status(thm)],[f607]) ).
fof(f613,plain,
( op(e3,e3) = e2
| op(e3,e2) != e3
| sP51_prd
| ~ sP47_prd ),
inference(cnf_transformation,[status(thm)],[f607]) ).
fof(f614,plain,
( ~ sP51_prd
| sP47_prd ),
inference(cnf_transformation,[status(thm)],[f607]) ).
fof(f615,plain,
( op(e3,e2) = e3
| op(e2,e2) = e2
| ~ sP53_prd
| ~ sP52_prd
| op(e2,e0) != e0
| op(e0,e2) != e0
| sP47_prd ),
inference(cnf_transformation,[status(thm)],[f607]) ).
fof(f616,plain,
( op(e3,e3) != e2
| op(e2,e2) = e2
| ~ sP53_prd
| ~ sP52_prd
| op(e2,e0) != e0
| op(e0,e2) != e0
| sP47_prd ),
inference(cnf_transformation,[status(thm)],[f607]) ).
fof(f618,plain,
( op(e3,e3) != e2
| op(e2,e2) != e2
| ~ sP53_prd
| ~ sP52_prd
| op(e2,e0) != e0
| op(e0,e2) != e0
| sP47_prd ),
inference(cnf_transformation,[status(thm)],[f607]) ).
fof(f619,plain,
( ( ( op(e0,e0) != e3
& op(e0,e3) = e0 )
| sP48_prd )
& ( op(e0,e0) = e3
| op(e0,e3) != e0
| ~ sP48_prd ) ),
inference(NNF_transformation,[status(thm)],[f570]) ).
fof(f620,plain,
( op(e0,e0) = e3
| op(e0,e3) != e0
| ~ sP48_prd ),
inference(cnf_transformation,[status(thm)],[f619]) ).
fof(f621,plain,
( op(e0,e3) = e0
| sP48_prd ),
inference(cnf_transformation,[status(thm)],[f619]) ).
fof(f622,plain,
( op(e0,e0) != e3
| sP48_prd ),
inference(cnf_transformation,[status(thm)],[f619]) ).
fof(f623,plain,
( ( ( op(e1,e1) != e3
& op(e1,e3) = e1 )
| sP49_prd )
& ( op(e1,e1) = e3
| op(e1,e3) != e1
| ~ sP49_prd ) ),
inference(NNF_transformation,[status(thm)],[f571]) ).
fof(f624,plain,
( op(e1,e1) = e3
| op(e1,e3) != e1
| ~ sP49_prd ),
inference(cnf_transformation,[status(thm)],[f623]) ).
fof(f625,plain,
( op(e1,e3) = e1
| sP49_prd ),
inference(cnf_transformation,[status(thm)],[f623]) ).
fof(f626,plain,
( op(e1,e1) != e3
| sP49_prd ),
inference(cnf_transformation,[status(thm)],[f623]) ).
fof(f627,definition,
( sP54_prd
<=> ( ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& 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,e1) != e3
& op(e3,e3) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& 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,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& 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(f628,plain,
( sP50_prd
<=> ( ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| sP54_prd ) ),
inference(formula_renaming,[status(thm)],[f593,f627]) ).
fof(f629,plain,
( ( ( ( op(e1,e0) = e1
| op(e1,e1) != e0
| op(e3,e3) = e0
| op(e3,e0) != e3 )
& ~ sP54_prd )
| sP50_prd )
& ( ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| sP54_prd
| ~ sP50_prd ) ),
inference(NNF_transformation,[status(thm)],[f628]) ).
fof(f630,plain,
( op(e3,e0) = e3
| sP54_prd
| ~ sP50_prd ),
inference(cnf_transformation,[status(thm)],[f629]) ).
fof(f631,plain,
( op(e3,e3) != e0
| sP54_prd
| ~ sP50_prd ),
inference(cnf_transformation,[status(thm)],[f629]) ).
fof(f632,plain,
( op(e1,e1) = e0
| sP54_prd
| ~ sP50_prd ),
inference(cnf_transformation,[status(thm)],[f629]) ).
fof(f633,plain,
( op(e1,e0) != e1
| sP54_prd
| ~ sP50_prd ),
inference(cnf_transformation,[status(thm)],[f629]) ).
fof(f634,plain,
( ~ sP54_prd
| sP50_prd ),
inference(cnf_transformation,[status(thm)],[f629]) ).
fof(f636,definition,
( sP55_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
& op(e0,e0) = e0 ) ),
introduced(definition,[new_symbols(definition,[sP55_prd])],[]) ).
fof(f637,plain,
( sP51_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,e0) = e0
& op(e0,e1) = e0 )
| sP55_prd ) ),
inference(formula_renaming,[status(thm)],[f602,f636]) ).
fof(f638,definition,
( sP56_prd
<=> ( op(e0,e0) = e1
| op(e0,e1) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP56_prd])],[]) ).
fof(f639,definition,
( sP57_prd
<=> ( op(e1,e1) = e1
| op(e1,e1) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP57_prd])],[]) ).
fof(f640,plain,
( sP51_prd
<=> ( ( ( op(e3,e3) = e1
| op(e3,e1) != e3 )
& ( op(e2,e2) = e1
| op(e2,e1) != e2 )
& sP57_prd
& sP56_prd
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| sP55_prd ) ),
inference(formula_renaming,[status(thm)],[f637,f639,f638]) ).
fof(f641,plain,
( ( ( ( ( op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e2,e2) != e1
& op(e2,e1) = e2 )
| ~ sP57_prd
| ~ sP56_prd
| op(e1,e0) != e0
| op(e0,e1) != e0 )
& ~ sP55_prd )
| sP51_prd )
& ( ( ( op(e3,e3) = e1
| op(e3,e1) != e3 )
& ( op(e2,e2) = e1
| op(e2,e1) != e2 )
& sP57_prd
& sP56_prd
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| sP55_prd
| ~ sP51_prd ) ),
inference(NNF_transformation,[status(thm)],[f640]) ).
fof(f642,plain,
( op(e0,e1) = e0
| sP55_prd
| ~ sP51_prd ),
inference(cnf_transformation,[status(thm)],[f641]) ).
fof(f643,plain,
( op(e1,e0) = e0
| sP55_prd
| ~ sP51_prd ),
inference(cnf_transformation,[status(thm)],[f641]) ).
fof(f644,plain,
( sP56_prd
| sP55_prd
| ~ sP51_prd ),
inference(cnf_transformation,[status(thm)],[f641]) ).
fof(f645,plain,
( sP57_prd
| sP55_prd
| ~ sP51_prd ),
inference(cnf_transformation,[status(thm)],[f641]) ).
fof(f646,plain,
( op(e2,e2) = e1
| op(e2,e1) != e2
| sP55_prd
| ~ sP51_prd ),
inference(cnf_transformation,[status(thm)],[f641]) ).
fof(f647,plain,
( op(e3,e3) = e1
| op(e3,e1) != e3
| sP55_prd
| ~ sP51_prd ),
inference(cnf_transformation,[status(thm)],[f641]) ).
fof(f648,plain,
( ~ sP55_prd
| sP51_prd ),
inference(cnf_transformation,[status(thm)],[f641]) ).
fof(f649,plain,
( op(e3,e1) = e3
| op(e2,e1) = e2
| ~ sP57_prd
| ~ sP56_prd
| op(e1,e0) != e0
| op(e0,e1) != e0
| sP51_prd ),
inference(cnf_transformation,[status(thm)],[f641]) ).
fof(f651,plain,
( op(e3,e1) = e3
| op(e2,e2) != e1
| ~ sP57_prd
| ~ sP56_prd
| op(e1,e0) != e0
| op(e0,e1) != e0
| sP51_prd ),
inference(cnf_transformation,[status(thm)],[f641]) ).
fof(f653,plain,
( ( ( op(e0,e0) != e2
& op(e0,e2) = e0 )
| sP52_prd )
& ( op(e0,e0) = e2
| op(e0,e2) != e0
| ~ sP52_prd ) ),
inference(NNF_transformation,[status(thm)],[f604]) ).
fof(f654,plain,
( op(e0,e0) = e2
| op(e0,e2) != e0
| ~ sP52_prd ),
inference(cnf_transformation,[status(thm)],[f653]) ).
fof(f655,plain,
( op(e0,e2) = e0
| sP52_prd ),
inference(cnf_transformation,[status(thm)],[f653]) ).
fof(f656,plain,
( op(e0,e0) != e2
| sP52_prd ),
inference(cnf_transformation,[status(thm)],[f653]) ).
fof(f657,plain,
( ( ( op(e1,e1) != e2
& op(e1,e2) = e1 )
| sP53_prd )
& ( op(e1,e1) = e2
| op(e1,e2) != e1
| ~ sP53_prd ) ),
inference(NNF_transformation,[status(thm)],[f605]) ).
fof(f658,plain,
( op(e1,e1) = e2
| op(e1,e2) != e1
| ~ sP53_prd ),
inference(cnf_transformation,[status(thm)],[f657]) ).
fof(f659,plain,
( op(e1,e2) = e1
| sP53_prd ),
inference(cnf_transformation,[status(thm)],[f657]) ).
fof(f660,plain,
( op(e1,e1) != e2
| sP53_prd ),
inference(cnf_transformation,[status(thm)],[f657]) ).
fof(f661,definition,
( sP58_prd
<=> ( ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& 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,e1) != e3
& op(e3,e3) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& 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,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& 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(f662,plain,
( sP54_prd
<=> ( ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| sP58_prd ) ),
inference(formula_renaming,[status(thm)],[f627,f661]) ).
fof(f663,plain,
( ( ( ( op(e0,e0) = e0
| op(e0,e0) != e0
| op(e3,e3) = e0
| op(e3,e0) != e3 )
& ~ sP58_prd )
| sP54_prd )
& ( ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| sP58_prd
| ~ sP54_prd ) ),
inference(NNF_transformation,[status(thm)],[f662]) ).
fof(f664,plain,
( op(e3,e0) = e3
| sP58_prd
| ~ sP54_prd ),
inference(cnf_transformation,[status(thm)],[f663]) ).
fof(f665,plain,
( op(e3,e3) != e0
| sP58_prd
| ~ sP54_prd ),
inference(cnf_transformation,[status(thm)],[f663]) ).
fof(f666,plain,
( op(e0,e0) = e0
| sP58_prd
| ~ sP54_prd ),
inference(cnf_transformation,[status(thm)],[f663]) ).
fof(f667,plain,
( op(e0,e0) != e0
| sP58_prd
| ~ sP54_prd ),
inference(cnf_transformation,[status(thm)],[f663]) ).
fof(f668,plain,
( ~ sP58_prd
| sP54_prd ),
inference(cnf_transformation,[status(thm)],[f663]) ).
fof(f670,definition,
( sP59_prd
<=> ( op(e0,e0) = e0
| op(e0,e0) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP59_prd])],[]) ).
fof(f671,definition,
( sP60_prd
<=> ( op(e1,e1) = e0
| op(e1,e0) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP60_prd])],[]) ).
fof(f672,plain,
( sP55_prd
<=> ( ( op(e3,e3) = e0
| op(e3,e0) != e3 )
& ( op(e2,e2) = e0
| op(e2,e0) != e2 )
& sP60_prd
& sP59_prd
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ),
inference(formula_renaming,[status(thm)],[f636,f671,f670]) ).
fof(f673,plain,
( ( ( op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e2,e2) != e0
& op(e2,e0) = e2 )
| ~ sP60_prd
| ~ sP59_prd
| op(e0,e0) != e0
| op(e0,e0) != e0
| sP55_prd )
& ( ( ( op(e3,e3) = e0
| op(e3,e0) != e3 )
& ( op(e2,e2) = e0
| op(e2,e0) != e2 )
& sP60_prd
& sP59_prd
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ~ sP55_prd ) ),
inference(NNF_transformation,[status(thm)],[f672]) ).
fof(f674,plain,
( op(e0,e0) = e0
| ~ sP55_prd ),
inference(cnf_transformation,[status(thm)],[f673]) ).
fof(f677,plain,
( sP60_prd
| ~ sP55_prd ),
inference(cnf_transformation,[status(thm)],[f673]) ).
fof(f678,plain,
( op(e2,e2) = e0
| op(e2,e0) != e2
| ~ sP55_prd ),
inference(cnf_transformation,[status(thm)],[f673]) ).
fof(f679,plain,
( op(e3,e3) = e0
| op(e3,e0) != e3
| ~ sP55_prd ),
inference(cnf_transformation,[status(thm)],[f673]) ).
fof(f680,plain,
( op(e3,e0) = e3
| op(e2,e0) = e2
| ~ sP60_prd
| ~ sP59_prd
| op(e0,e0) != e0
| op(e0,e0) != e0
| sP55_prd ),
inference(cnf_transformation,[status(thm)],[f673]) ).
fof(f681,plain,
( op(e3,e3) != e0
| op(e2,e0) = e2
| ~ sP60_prd
| ~ sP59_prd
| op(e0,e0) != e0
| op(e0,e0) != e0
| sP55_prd ),
inference(cnf_transformation,[status(thm)],[f673]) ).
fof(f682,plain,
( op(e3,e0) = e3
| op(e2,e2) != e0
| ~ sP60_prd
| ~ sP59_prd
| op(e0,e0) != e0
| op(e0,e0) != e0
| sP55_prd ),
inference(cnf_transformation,[status(thm)],[f673]) ).
fof(f683,plain,
( op(e3,e3) != e0
| op(e2,e2) != e0
| ~ sP60_prd
| ~ sP59_prd
| op(e0,e0) != e0
| op(e0,e0) != e0
| sP55_prd ),
inference(cnf_transformation,[status(thm)],[f673]) ).
fof(f684,plain,
( ( ( op(e0,e0) != e1
& op(e0,e1) = e0 )
| sP56_prd )
& ( op(e0,e0) = e1
| op(e0,e1) != e0
| ~ sP56_prd ) ),
inference(NNF_transformation,[status(thm)],[f638]) ).
fof(f685,plain,
( op(e0,e0) = e1
| op(e0,e1) != e0
| ~ sP56_prd ),
inference(cnf_transformation,[status(thm)],[f684]) ).
fof(f686,plain,
( op(e0,e1) = e0
| sP56_prd ),
inference(cnf_transformation,[status(thm)],[f684]) ).
fof(f687,plain,
( op(e0,e0) != e1
| sP56_prd ),
inference(cnf_transformation,[status(thm)],[f684]) ).
fof(f688,plain,
( ( ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| sP57_prd )
& ( op(e1,e1) = e1
| op(e1,e1) != e1
| ~ sP57_prd ) ),
inference(NNF_transformation,[status(thm)],[f639]) ).
fof(f690,plain,
( op(e1,e1) = e1
| sP57_prd ),
inference(cnf_transformation,[status(thm)],[f688]) ).
fof(f691,plain,
( op(e1,e1) != e1
| sP57_prd ),
inference(cnf_transformation,[status(thm)],[f688]) ).
fof(f692,definition,
( sP61_prd
<=> ( ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& 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,e1) != e3
& op(e3,e3) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& 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,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& 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(f693,plain,
( sP58_prd
<=> ( ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| sP61_prd ) ),
inference(formula_renaming,[status(thm)],[f661,f692]) ).
fof(f694,plain,
( ( ( ( op(e3,e3) = e3
| op(e3,e3) != e3
| op(e2,e2) = e3
| op(e2,e3) != e2 )
& ~ sP61_prd )
| sP58_prd )
& ( ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| sP61_prd
| ~ sP58_prd ) ),
inference(NNF_transformation,[status(thm)],[f693]) ).
fof(f695,plain,
( op(e2,e3) = e2
| sP61_prd
| ~ sP58_prd ),
inference(cnf_transformation,[status(thm)],[f694]) ).
fof(f696,plain,
( op(e2,e2) != e3
| sP61_prd
| ~ sP58_prd ),
inference(cnf_transformation,[status(thm)],[f694]) ).
fof(f697,plain,
( op(e3,e3) = e3
| sP61_prd
| ~ sP58_prd ),
inference(cnf_transformation,[status(thm)],[f694]) ).
fof(f698,plain,
( op(e3,e3) != e3
| sP61_prd
| ~ sP58_prd ),
inference(cnf_transformation,[status(thm)],[f694]) ).
fof(f699,plain,
( ~ sP61_prd
| sP58_prd ),
inference(cnf_transformation,[status(thm)],[f694]) ).
fof(f701,plain,
( ( ( op(e0,e0) != e0
& op(e0,e0) = e0 )
| sP59_prd )
& ( op(e0,e0) = e0
| op(e0,e0) != e0
| ~ sP59_prd ) ),
inference(NNF_transformation,[status(thm)],[f670]) ).
fof(f703,plain,
( op(e0,e0) = e0
| sP59_prd ),
inference(cnf_transformation,[status(thm)],[f701]) ).
fof(f704,plain,
( op(e0,e0) != e0
| sP59_prd ),
inference(cnf_transformation,[status(thm)],[f701]) ).
fof(f705,plain,
( ( ( op(e1,e1) != e0
& op(e1,e0) = e1 )
| sP60_prd )
& ( op(e1,e1) = e0
| op(e1,e0) != e1
| ~ sP60_prd ) ),
inference(NNF_transformation,[status(thm)],[f671]) ).
fof(f706,plain,
( op(e1,e1) = e0
| op(e1,e0) != e1
| ~ sP60_prd ),
inference(cnf_transformation,[status(thm)],[f705]) ).
fof(f707,plain,
( op(e1,e0) = e1
| sP60_prd ),
inference(cnf_transformation,[status(thm)],[f705]) ).
fof(f708,plain,
( op(e1,e1) != e0
| sP60_prd ),
inference(cnf_transformation,[status(thm)],[f705]) ).
fof(f709,definition,
( sP62_prd
<=> ( ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& 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,e1) != e3
& op(e3,e3) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& 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,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& 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(f710,plain,
( sP61_prd
<=> ( ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| sP62_prd ) ),
inference(formula_renaming,[status(thm)],[f692,f709]) ).
fof(f711,plain,
( ( ( ( op(e2,e3) = e2
| op(e2,e2) != e3
| op(e2,e2) = e3
| op(e2,e3) != e2 )
& ~ sP62_prd )
| sP61_prd )
& ( ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| sP62_prd
| ~ sP61_prd ) ),
inference(NNF_transformation,[status(thm)],[f710]) ).
fof(f712,plain,
( op(e2,e3) = e2
| sP62_prd
| ~ sP61_prd ),
inference(cnf_transformation,[status(thm)],[f711]) ).
fof(f713,plain,
( op(e2,e2) != e3
| sP62_prd
| ~ sP61_prd ),
inference(cnf_transformation,[status(thm)],[f711]) ).
fof(f714,plain,
( op(e2,e2) = e3
| sP62_prd
| ~ sP61_prd ),
inference(cnf_transformation,[status(thm)],[f711]) ).
fof(f715,plain,
( op(e2,e3) != e2
| sP62_prd
| ~ sP61_prd ),
inference(cnf_transformation,[status(thm)],[f711]) ).
fof(f716,plain,
( ~ sP62_prd
| sP61_prd ),
inference(cnf_transformation,[status(thm)],[f711]) ).
fof(f718,definition,
( sP63_prd
<=> ( ( op(e0,e3) != e0
& op(e0,e0) = e3
& 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,e1) != e3
& op(e3,e3) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& 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,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& 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(f719,plain,
( sP62_prd
<=> ( ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| sP63_prd ) ),
inference(formula_renaming,[status(thm)],[f709,f718]) ).
fof(f720,plain,
( ( ( ( op(e1,e3) = e1
| op(e1,e1) != e3
| op(e2,e2) = e3
| op(e2,e3) != e2 )
& ~ sP63_prd )
| sP62_prd )
& ( ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| sP63_prd
| ~ sP62_prd ) ),
inference(NNF_transformation,[status(thm)],[f719]) ).
fof(f721,plain,
( op(e2,e3) = e2
| sP63_prd
| ~ sP62_prd ),
inference(cnf_transformation,[status(thm)],[f720]) ).
fof(f722,plain,
( op(e2,e2) != e3
| sP63_prd
| ~ sP62_prd ),
inference(cnf_transformation,[status(thm)],[f720]) ).
fof(f723,plain,
( op(e1,e1) = e3
| sP63_prd
| ~ sP62_prd ),
inference(cnf_transformation,[status(thm)],[f720]) ).
fof(f724,plain,
( op(e1,e3) != e1
| sP63_prd
| ~ sP62_prd ),
inference(cnf_transformation,[status(thm)],[f720]) ).
fof(f725,plain,
( ~ sP63_prd
| sP62_prd ),
inference(cnf_transformation,[status(thm)],[f720]) ).
fof(f727,definition,
( sP64_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,e1) != e3
& op(e3,e3) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& 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,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& 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(f728,plain,
( sP63_prd
<=> ( ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| sP64_prd ) ),
inference(formula_renaming,[status(thm)],[f718,f727]) ).
fof(f729,plain,
( ( ( ( op(e0,e3) = e0
| op(e0,e0) != e3
| op(e2,e2) = e3
| op(e2,e3) != e2 )
& ~ sP64_prd )
| sP63_prd )
& ( ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| sP64_prd
| ~ sP63_prd ) ),
inference(NNF_transformation,[status(thm)],[f728]) ).
fof(f730,plain,
( op(e2,e3) = e2
| sP64_prd
| ~ sP63_prd ),
inference(cnf_transformation,[status(thm)],[f729]) ).
fof(f731,plain,
( op(e2,e2) != e3
| sP64_prd
| ~ sP63_prd ),
inference(cnf_transformation,[status(thm)],[f729]) ).
fof(f732,plain,
( op(e0,e0) = e3
| sP64_prd
| ~ sP63_prd ),
inference(cnf_transformation,[status(thm)],[f729]) ).
fof(f733,plain,
( op(e0,e3) != e0
| sP64_prd
| ~ sP63_prd ),
inference(cnf_transformation,[status(thm)],[f729]) ).
fof(f734,plain,
( ~ sP64_prd
| sP63_prd ),
inference(cnf_transformation,[status(thm)],[f729]) ).
fof(f736,definition,
( sP65_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,e1) != e3
& op(e3,e3) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& 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,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& 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(f737,plain,
( sP64_prd
<=> ( ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| sP65_prd ) ),
inference(formula_renaming,[status(thm)],[f727,f736]) ).
fof(f738,plain,
( ( ( ( op(e3,e2) = e3
| op(e3,e3) != e2
| op(e2,e2) = e2
| op(e2,e2) != e2 )
& ~ sP65_prd )
| sP64_prd )
& ( ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| sP65_prd
| ~ sP64_prd ) ),
inference(NNF_transformation,[status(thm)],[f737]) ).
fof(f739,plain,
( op(e2,e2) = e2
| sP65_prd
| ~ sP64_prd ),
inference(cnf_transformation,[status(thm)],[f738]) ).
fof(f740,plain,
( op(e2,e2) != e2
| sP65_prd
| ~ sP64_prd ),
inference(cnf_transformation,[status(thm)],[f738]) ).
fof(f741,plain,
( op(e3,e3) = e2
| sP65_prd
| ~ sP64_prd ),
inference(cnf_transformation,[status(thm)],[f738]) ).
fof(f742,plain,
( op(e3,e2) != e3
| sP65_prd
| ~ sP64_prd ),
inference(cnf_transformation,[status(thm)],[f738]) ).
fof(f743,plain,
( ~ sP65_prd
| sP64_prd ),
inference(cnf_transformation,[status(thm)],[f738]) ).
fof(f745,definition,
( sP66_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,e1) != e3
& op(e3,e3) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& 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,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& 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(f746,plain,
( sP65_prd
<=> ( ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| sP66_prd ) ),
inference(formula_renaming,[status(thm)],[f736,f745]) ).
fof(f747,plain,
( ( ( ( op(e2,e2) = e2
| op(e2,e2) != e2
| op(e2,e2) = e2
| op(e2,e2) != e2 )
& ~ sP66_prd )
| sP65_prd )
& ( ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| sP66_prd
| ~ sP65_prd ) ),
inference(NNF_transformation,[status(thm)],[f746]) ).
fof(f748,plain,
( op(e2,e2) = e2
| sP66_prd
| ~ sP65_prd ),
inference(cnf_transformation,[status(thm)],[f747]) ).
fof(f749,plain,
( op(e2,e2) != e2
| sP66_prd
| ~ sP65_prd ),
inference(cnf_transformation,[status(thm)],[f747]) ).
fof(f752,plain,
( ~ sP66_prd
| sP65_prd ),
inference(cnf_transformation,[status(thm)],[f747]) ).
fof(f754,definition,
( sP67_prd
<=> ( ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& 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,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& 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(f755,plain,
( sP66_prd
<=> ( ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| sP67_prd ) ),
inference(formula_renaming,[status(thm)],[f745,f754]) ).
fof(f756,plain,
( ( ( ( op(e1,e2) = e1
| op(e1,e1) != e2
| op(e2,e2) = e2
| op(e2,e2) != e2 )
& ~ sP67_prd )
| sP66_prd )
& ( ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| sP67_prd
| ~ sP66_prd ) ),
inference(NNF_transformation,[status(thm)],[f755]) ).
fof(f757,plain,
( op(e2,e2) = e2
| sP67_prd
| ~ sP66_prd ),
inference(cnf_transformation,[status(thm)],[f756]) ).
fof(f758,plain,
( op(e2,e2) != e2
| sP67_prd
| ~ sP66_prd ),
inference(cnf_transformation,[status(thm)],[f756]) ).
fof(f759,plain,
( op(e1,e1) = e2
| sP67_prd
| ~ sP66_prd ),
inference(cnf_transformation,[status(thm)],[f756]) ).
fof(f760,plain,
( op(e1,e2) != e1
| sP67_prd
| ~ sP66_prd ),
inference(cnf_transformation,[status(thm)],[f756]) ).
fof(f761,plain,
( ~ sP67_prd
| sP66_prd ),
inference(cnf_transformation,[status(thm)],[f756]) ).
fof(f763,definition,
( sP68_prd
<=> ( ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& 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,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& 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,[sP68_prd])],[]) ).
fof(f764,plain,
( sP67_prd
<=> ( ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| sP68_prd ) ),
inference(formula_renaming,[status(thm)],[f754,f763]) ).
fof(f765,plain,
( ( ( ( op(e0,e2) = e0
| op(e0,e0) != e2
| op(e2,e2) = e2
| op(e2,e2) != e2 )
& ~ sP68_prd )
| sP67_prd )
& ( ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| sP68_prd
| ~ sP67_prd ) ),
inference(NNF_transformation,[status(thm)],[f764]) ).
fof(f766,plain,
( op(e2,e2) = e2
| sP68_prd
| ~ sP67_prd ),
inference(cnf_transformation,[status(thm)],[f765]) ).
fof(f767,plain,
( op(e2,e2) != e2
| sP68_prd
| ~ sP67_prd ),
inference(cnf_transformation,[status(thm)],[f765]) ).
fof(f768,plain,
( op(e0,e0) = e2
| sP68_prd
| ~ sP67_prd ),
inference(cnf_transformation,[status(thm)],[f765]) ).
fof(f769,plain,
( op(e0,e2) != e0
| sP68_prd
| ~ sP67_prd ),
inference(cnf_transformation,[status(thm)],[f765]) ).
fof(f770,plain,
( ~ sP68_prd
| sP67_prd ),
inference(cnf_transformation,[status(thm)],[f765]) ).
fof(f772,definition,
( sP69_prd
<=> ( ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& 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,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& 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,[sP69_prd])],[]) ).
fof(f773,plain,
( sP68_prd
<=> ( ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| sP69_prd ) ),
inference(formula_renaming,[status(thm)],[f763,f772]) ).
fof(f774,plain,
( ( ( ( op(e3,e1) = e3
| op(e3,e3) != e1
| op(e2,e2) = e1
| op(e2,e1) != e2 )
& ~ sP69_prd )
| sP68_prd )
& ( ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| sP69_prd
| ~ sP68_prd ) ),
inference(NNF_transformation,[status(thm)],[f773]) ).
fof(f775,plain,
( op(e2,e1) = e2
| sP69_prd
| ~ sP68_prd ),
inference(cnf_transformation,[status(thm)],[f774]) ).
fof(f776,plain,
( op(e2,e2) != e1
| sP69_prd
| ~ sP68_prd ),
inference(cnf_transformation,[status(thm)],[f774]) ).
fof(f777,plain,
( op(e3,e3) = e1
| sP69_prd
| ~ sP68_prd ),
inference(cnf_transformation,[status(thm)],[f774]) ).
fof(f778,plain,
( op(e3,e1) != e3
| sP69_prd
| ~ sP68_prd ),
inference(cnf_transformation,[status(thm)],[f774]) ).
fof(f779,plain,
( ~ sP69_prd
| sP68_prd ),
inference(cnf_transformation,[status(thm)],[f774]) ).
fof(f780,plain,
( op(e3,e1) = e3
| op(e3,e3) != e1
| op(e2,e2) = e1
| op(e2,e1) != e2
| sP68_prd ),
inference(cnf_transformation,[status(thm)],[f774]) ).
fof(f781,definition,
( sP70_prd
<=> ( ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& 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,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& 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,[sP70_prd])],[]) ).
fof(f782,plain,
( sP69_prd
<=> ( ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| sP70_prd ) ),
inference(formula_renaming,[status(thm)],[f772,f781]) ).
fof(f783,plain,
( ( ( ( op(e2,e1) = e2
| op(e2,e2) != e1
| op(e2,e2) = e1
| op(e2,e1) != e2 )
& ~ sP70_prd )
| sP69_prd )
& ( ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| sP70_prd
| ~ sP69_prd ) ),
inference(NNF_transformation,[status(thm)],[f782]) ).
fof(f784,plain,
( op(e2,e1) = e2
| sP70_prd
| ~ sP69_prd ),
inference(cnf_transformation,[status(thm)],[f783]) ).
fof(f785,plain,
( op(e2,e2) != e1
| sP70_prd
| ~ sP69_prd ),
inference(cnf_transformation,[status(thm)],[f783]) ).
fof(f786,plain,
( op(e2,e2) = e1
| sP70_prd
| ~ sP69_prd ),
inference(cnf_transformation,[status(thm)],[f783]) ).
fof(f787,plain,
( op(e2,e1) != e2
| sP70_prd
| ~ sP69_prd ),
inference(cnf_transformation,[status(thm)],[f783]) ).
fof(f788,plain,
( ~ sP70_prd
| sP69_prd ),
inference(cnf_transformation,[status(thm)],[f783]) ).
fof(f790,definition,
( sP71_prd
<=> ( ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& 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,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& 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,[sP71_prd])],[]) ).
fof(f791,plain,
( sP70_prd
<=> ( ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| sP71_prd ) ),
inference(formula_renaming,[status(thm)],[f781,f790]) ).
fof(f792,plain,
( ( ( ( op(e1,e1) = e1
| op(e1,e1) != e1
| op(e2,e2) = e1
| op(e2,e1) != e2 )
& ~ sP71_prd )
| sP70_prd )
& ( ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| sP71_prd
| ~ sP70_prd ) ),
inference(NNF_transformation,[status(thm)],[f791]) ).
fof(f793,plain,
( op(e2,e1) = e2
| sP71_prd
| ~ sP70_prd ),
inference(cnf_transformation,[status(thm)],[f792]) ).
fof(f794,plain,
( op(e2,e2) != e1
| sP71_prd
| ~ sP70_prd ),
inference(cnf_transformation,[status(thm)],[f792]) ).
fof(f795,plain,
( op(e1,e1) = e1
| sP71_prd
| ~ sP70_prd ),
inference(cnf_transformation,[status(thm)],[f792]) ).
fof(f796,plain,
( op(e1,e1) != e1
| sP71_prd
| ~ sP70_prd ),
inference(cnf_transformation,[status(thm)],[f792]) ).
fof(f797,plain,
( ~ sP71_prd
| sP70_prd ),
inference(cnf_transformation,[status(thm)],[f792]) ).
fof(f799,definition,
( sP72_prd
<=> ( ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& 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,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& 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,[sP72_prd])],[]) ).
fof(f800,plain,
( sP71_prd
<=> ( ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| sP72_prd ) ),
inference(formula_renaming,[status(thm)],[f790,f799]) ).
fof(f801,plain,
( ( ( ( op(e0,e1) = e0
| op(e0,e0) != e1
| op(e2,e2) = e1
| op(e2,e1) != e2 )
& ~ sP72_prd )
| sP71_prd )
& ( ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| sP72_prd
| ~ sP71_prd ) ),
inference(NNF_transformation,[status(thm)],[f800]) ).
fof(f802,plain,
( op(e2,e1) = e2
| sP72_prd
| ~ sP71_prd ),
inference(cnf_transformation,[status(thm)],[f801]) ).
fof(f803,plain,
( op(e2,e2) != e1
| sP72_prd
| ~ sP71_prd ),
inference(cnf_transformation,[status(thm)],[f801]) ).
fof(f804,plain,
( op(e0,e0) = e1
| sP72_prd
| ~ sP71_prd ),
inference(cnf_transformation,[status(thm)],[f801]) ).
fof(f805,plain,
( op(e0,e1) != e0
| sP72_prd
| ~ sP71_prd ),
inference(cnf_transformation,[status(thm)],[f801]) ).
fof(f806,plain,
( ~ sP72_prd
| sP71_prd ),
inference(cnf_transformation,[status(thm)],[f801]) ).
fof(f808,definition,
( sP73_prd
<=> ( ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& 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,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& 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,[sP73_prd])],[]) ).
fof(f809,plain,
( sP72_prd
<=> ( ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| sP73_prd ) ),
inference(formula_renaming,[status(thm)],[f799,f808]) ).
fof(f810,plain,
( ( ( ( op(e3,e0) = e3
| op(e3,e3) != e0
| op(e2,e2) = e0
| op(e2,e0) != e2 )
& ~ sP73_prd )
| sP72_prd )
& ( ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| sP73_prd
| ~ sP72_prd ) ),
inference(NNF_transformation,[status(thm)],[f809]) ).
fof(f811,plain,
( op(e2,e0) = e2
| sP73_prd
| ~ sP72_prd ),
inference(cnf_transformation,[status(thm)],[f810]) ).
fof(f812,plain,
( op(e2,e2) != e0
| sP73_prd
| ~ sP72_prd ),
inference(cnf_transformation,[status(thm)],[f810]) ).
fof(f813,plain,
( op(e3,e3) = e0
| sP73_prd
| ~ sP72_prd ),
inference(cnf_transformation,[status(thm)],[f810]) ).
fof(f814,plain,
( op(e3,e0) != e3
| sP73_prd
| ~ sP72_prd ),
inference(cnf_transformation,[status(thm)],[f810]) ).
fof(f815,plain,
( ~ sP73_prd
| sP72_prd ),
inference(cnf_transformation,[status(thm)],[f810]) ).
fof(f817,definition,
( sP74_prd
<=> ( ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& 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,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& 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,[sP74_prd])],[]) ).
fof(f818,plain,
( sP73_prd
<=> ( ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| sP74_prd ) ),
inference(formula_renaming,[status(thm)],[f808,f817]) ).
fof(f819,plain,
( ( ( ( op(e2,e0) = e2
| op(e2,e2) != e0
| op(e2,e2) = e0
| op(e2,e0) != e2 )
& ~ sP74_prd )
| sP73_prd )
& ( ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| sP74_prd
| ~ sP73_prd ) ),
inference(NNF_transformation,[status(thm)],[f818]) ).
fof(f820,plain,
( op(e2,e0) = e2
| sP74_prd
| ~ sP73_prd ),
inference(cnf_transformation,[status(thm)],[f819]) ).
fof(f821,plain,
( op(e2,e2) != e0
| sP74_prd
| ~ sP73_prd ),
inference(cnf_transformation,[status(thm)],[f819]) ).
fof(f822,plain,
( op(e2,e2) = e0
| sP74_prd
| ~ sP73_prd ),
inference(cnf_transformation,[status(thm)],[f819]) ).
fof(f823,plain,
( op(e2,e0) != e2
| sP74_prd
| ~ sP73_prd ),
inference(cnf_transformation,[status(thm)],[f819]) ).
fof(f824,plain,
( ~ sP74_prd
| sP73_prd ),
inference(cnf_transformation,[status(thm)],[f819]) ).
fof(f826,definition,
( sP75_prd
<=> ( ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& 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,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& 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,[sP75_prd])],[]) ).
fof(f827,plain,
( sP74_prd
<=> ( ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| sP75_prd ) ),
inference(formula_renaming,[status(thm)],[f817,f826]) ).
fof(f828,plain,
( ( ( ( op(e1,e0) = e1
| op(e1,e1) != e0
| op(e2,e2) = e0
| op(e2,e0) != e2 )
& ~ sP75_prd )
| sP74_prd )
& ( ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| sP75_prd
| ~ sP74_prd ) ),
inference(NNF_transformation,[status(thm)],[f827]) ).
fof(f829,plain,
( op(e2,e0) = e2
| sP75_prd
| ~ sP74_prd ),
inference(cnf_transformation,[status(thm)],[f828]) ).
fof(f830,plain,
( op(e2,e2) != e0
| sP75_prd
| ~ sP74_prd ),
inference(cnf_transformation,[status(thm)],[f828]) ).
fof(f831,plain,
( op(e1,e1) = e0
| sP75_prd
| ~ sP74_prd ),
inference(cnf_transformation,[status(thm)],[f828]) ).
fof(f832,plain,
( op(e1,e0) != e1
| sP75_prd
| ~ sP74_prd ),
inference(cnf_transformation,[status(thm)],[f828]) ).
fof(f833,plain,
( ~ sP75_prd
| sP74_prd ),
inference(cnf_transformation,[status(thm)],[f828]) ).
fof(f835,definition,
( sP76_prd
<=> ( ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& 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,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& 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,[sP76_prd])],[]) ).
fof(f836,plain,
( sP75_prd
<=> ( ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| sP76_prd ) ),
inference(formula_renaming,[status(thm)],[f826,f835]) ).
fof(f837,plain,
( ( ( ( op(e0,e0) = e0
| op(e0,e0) != e0
| op(e2,e2) = e0
| op(e2,e0) != e2 )
& ~ sP76_prd )
| sP75_prd )
& ( ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| sP76_prd
| ~ sP75_prd ) ),
inference(NNF_transformation,[status(thm)],[f836]) ).
fof(f838,plain,
( op(e2,e0) = e2
| sP76_prd
| ~ sP75_prd ),
inference(cnf_transformation,[status(thm)],[f837]) ).
fof(f839,plain,
( op(e2,e2) != e0
| sP76_prd
| ~ sP75_prd ),
inference(cnf_transformation,[status(thm)],[f837]) ).
fof(f840,plain,
( op(e0,e0) = e0
| sP76_prd
| ~ sP75_prd ),
inference(cnf_transformation,[status(thm)],[f837]) ).
fof(f841,plain,
( op(e0,e0) != e0
| sP76_prd
| ~ sP75_prd ),
inference(cnf_transformation,[status(thm)],[f837]) ).
fof(f842,plain,
( ~ sP76_prd
| sP75_prd ),
inference(cnf_transformation,[status(thm)],[f837]) ).
fof(f844,definition,
( sP77_prd
<=> ( ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& 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,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& 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,[sP77_prd])],[]) ).
fof(f845,plain,
( sP76_prd
<=> ( ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| sP77_prd ) ),
inference(formula_renaming,[status(thm)],[f835,f844]) ).
fof(f846,plain,
( ( ( ( op(e3,e3) = e3
| op(e3,e3) != e3
| op(e1,e1) = e3
| op(e1,e3) != e1 )
& ~ sP77_prd )
| sP76_prd )
& ( ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| sP77_prd
| ~ sP76_prd ) ),
inference(NNF_transformation,[status(thm)],[f845]) ).
fof(f847,plain,
( op(e1,e3) = e1
| sP77_prd
| ~ sP76_prd ),
inference(cnf_transformation,[status(thm)],[f846]) ).
fof(f848,plain,
( op(e1,e1) != e3
| sP77_prd
| ~ sP76_prd ),
inference(cnf_transformation,[status(thm)],[f846]) ).
fof(f849,plain,
( op(e3,e3) = e3
| sP77_prd
| ~ sP76_prd ),
inference(cnf_transformation,[status(thm)],[f846]) ).
fof(f850,plain,
( op(e3,e3) != e3
| sP77_prd
| ~ sP76_prd ),
inference(cnf_transformation,[status(thm)],[f846]) ).
fof(f851,plain,
( ~ sP77_prd
| sP76_prd ),
inference(cnf_transformation,[status(thm)],[f846]) ).
fof(f853,definition,
( sP78_prd
<=> ( ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& 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,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& 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,[sP78_prd])],[]) ).
fof(f854,plain,
( sP77_prd
<=> ( ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| sP78_prd ) ),
inference(formula_renaming,[status(thm)],[f844,f853]) ).
fof(f855,plain,
( ( ( ( op(e2,e3) = e2
| op(e2,e2) != e3
| op(e1,e1) = e3
| op(e1,e3) != e1 )
& ~ sP78_prd )
| sP77_prd )
& ( ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| sP78_prd
| ~ sP77_prd ) ),
inference(NNF_transformation,[status(thm)],[f854]) ).
fof(f856,plain,
( op(e1,e3) = e1
| sP78_prd
| ~ sP77_prd ),
inference(cnf_transformation,[status(thm)],[f855]) ).
fof(f857,plain,
( op(e1,e1) != e3
| sP78_prd
| ~ sP77_prd ),
inference(cnf_transformation,[status(thm)],[f855]) ).
fof(f858,plain,
( op(e2,e2) = e3
| sP78_prd
| ~ sP77_prd ),
inference(cnf_transformation,[status(thm)],[f855]) ).
fof(f859,plain,
( op(e2,e3) != e2
| sP78_prd
| ~ sP77_prd ),
inference(cnf_transformation,[status(thm)],[f855]) ).
fof(f860,plain,
( ~ sP78_prd
| sP77_prd ),
inference(cnf_transformation,[status(thm)],[f855]) ).
fof(f862,definition,
( sP79_prd
<=> ( ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& 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,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& 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,[sP79_prd])],[]) ).
fof(f863,plain,
( sP78_prd
<=> ( ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| sP79_prd ) ),
inference(formula_renaming,[status(thm)],[f853,f862]) ).
fof(f864,plain,
( ( ( ( op(e1,e3) = e1
| op(e1,e1) != e3
| op(e1,e1) = e3
| op(e1,e3) != e1 )
& ~ sP79_prd )
| sP78_prd )
& ( ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| sP79_prd
| ~ sP78_prd ) ),
inference(NNF_transformation,[status(thm)],[f863]) ).
fof(f865,plain,
( op(e1,e3) = e1
| sP79_prd
| ~ sP78_prd ),
inference(cnf_transformation,[status(thm)],[f864]) ).
fof(f866,plain,
( op(e1,e1) != e3
| sP79_prd
| ~ sP78_prd ),
inference(cnf_transformation,[status(thm)],[f864]) ).
fof(f867,plain,
( op(e1,e1) = e3
| sP79_prd
| ~ sP78_prd ),
inference(cnf_transformation,[status(thm)],[f864]) ).
fof(f868,plain,
( op(e1,e3) != e1
| sP79_prd
| ~ sP78_prd ),
inference(cnf_transformation,[status(thm)],[f864]) ).
fof(f869,plain,
( ~ sP79_prd
| sP78_prd ),
inference(cnf_transformation,[status(thm)],[f864]) ).
fof(f871,definition,
( sP80_prd
<=> ( ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& 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,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& 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,[sP80_prd])],[]) ).
fof(f872,plain,
( sP79_prd
<=> ( ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| sP80_prd ) ),
inference(formula_renaming,[status(thm)],[f862,f871]) ).
fof(f873,plain,
( ( ( ( op(e0,e3) = e0
| op(e0,e0) != e3
| op(e1,e1) = e3
| op(e1,e3) != e1 )
& ~ sP80_prd )
| sP79_prd )
& ( ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| sP80_prd
| ~ sP79_prd ) ),
inference(NNF_transformation,[status(thm)],[f872]) ).
fof(f874,plain,
( op(e1,e3) = e1
| sP80_prd
| ~ sP79_prd ),
inference(cnf_transformation,[status(thm)],[f873]) ).
fof(f875,plain,
( op(e1,e1) != e3
| sP80_prd
| ~ sP79_prd ),
inference(cnf_transformation,[status(thm)],[f873]) ).
fof(f876,plain,
( op(e0,e0) = e3
| sP80_prd
| ~ sP79_prd ),
inference(cnf_transformation,[status(thm)],[f873]) ).
fof(f877,plain,
( op(e0,e3) != e0
| sP80_prd
| ~ sP79_prd ),
inference(cnf_transformation,[status(thm)],[f873]) ).
fof(f878,plain,
( ~ sP80_prd
| sP79_prd ),
inference(cnf_transformation,[status(thm)],[f873]) ).
fof(f880,definition,
( sP81_prd
<=> ( ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& 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,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& 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,[sP81_prd])],[]) ).
fof(f881,plain,
( sP80_prd
<=> ( ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| sP81_prd ) ),
inference(formula_renaming,[status(thm)],[f871,f880]) ).
fof(f882,plain,
( ( ( ( op(e3,e2) = e3
| op(e3,e3) != e2
| op(e1,e1) = e2
| op(e1,e2) != e1 )
& ~ sP81_prd )
| sP80_prd )
& ( ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| sP81_prd
| ~ sP80_prd ) ),
inference(NNF_transformation,[status(thm)],[f881]) ).
fof(f883,plain,
( op(e1,e2) = e1
| sP81_prd
| ~ sP80_prd ),
inference(cnf_transformation,[status(thm)],[f882]) ).
fof(f884,plain,
( op(e1,e1) != e2
| sP81_prd
| ~ sP80_prd ),
inference(cnf_transformation,[status(thm)],[f882]) ).
fof(f885,plain,
( op(e3,e3) = e2
| sP81_prd
| ~ sP80_prd ),
inference(cnf_transformation,[status(thm)],[f882]) ).
fof(f886,plain,
( op(e3,e2) != e3
| sP81_prd
| ~ sP80_prd ),
inference(cnf_transformation,[status(thm)],[f882]) ).
fof(f887,plain,
( ~ sP81_prd
| sP80_prd ),
inference(cnf_transformation,[status(thm)],[f882]) ).
fof(f889,definition,
( sP82_prd
<=> ( ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& 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,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& 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,[sP82_prd])],[]) ).
fof(f890,plain,
( sP81_prd
<=> ( ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| sP82_prd ) ),
inference(formula_renaming,[status(thm)],[f880,f889]) ).
fof(f891,plain,
( ( ( ( op(e2,e2) = e2
| op(e2,e2) != e2
| op(e1,e1) = e2
| op(e1,e2) != e1 )
& ~ sP82_prd )
| sP81_prd )
& ( ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| sP82_prd
| ~ sP81_prd ) ),
inference(NNF_transformation,[status(thm)],[f890]) ).
fof(f892,plain,
( op(e1,e2) = e1
| sP82_prd
| ~ sP81_prd ),
inference(cnf_transformation,[status(thm)],[f891]) ).
fof(f893,plain,
( op(e1,e1) != e2
| sP82_prd
| ~ sP81_prd ),
inference(cnf_transformation,[status(thm)],[f891]) ).
fof(f894,plain,
( op(e2,e2) = e2
| sP82_prd
| ~ sP81_prd ),
inference(cnf_transformation,[status(thm)],[f891]) ).
fof(f895,plain,
( op(e2,e2) != e2
| sP82_prd
| ~ sP81_prd ),
inference(cnf_transformation,[status(thm)],[f891]) ).
fof(f896,plain,
( ~ sP82_prd
| sP81_prd ),
inference(cnf_transformation,[status(thm)],[f891]) ).
fof(f898,definition,
( sP83_prd
<=> ( ( op(e0,e2) != e0
& op(e0,e0) = e2
& 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,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& 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,[sP83_prd])],[]) ).
fof(f899,plain,
( sP82_prd
<=> ( ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| sP83_prd ) ),
inference(formula_renaming,[status(thm)],[f889,f898]) ).
fof(f900,plain,
( ( ( ( op(e1,e2) = e1
| op(e1,e1) != e2
| op(e1,e1) = e2
| op(e1,e2) != e1 )
& ~ sP83_prd )
| sP82_prd )
& ( ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| sP83_prd
| ~ sP82_prd ) ),
inference(NNF_transformation,[status(thm)],[f899]) ).
fof(f901,plain,
( op(e1,e2) = e1
| sP83_prd
| ~ sP82_prd ),
inference(cnf_transformation,[status(thm)],[f900]) ).
fof(f902,plain,
( op(e1,e1) != e2
| sP83_prd
| ~ sP82_prd ),
inference(cnf_transformation,[status(thm)],[f900]) ).
fof(f903,plain,
( op(e1,e1) = e2
| sP83_prd
| ~ sP82_prd ),
inference(cnf_transformation,[status(thm)],[f900]) ).
fof(f904,plain,
( op(e1,e2) != e1
| sP83_prd
| ~ sP82_prd ),
inference(cnf_transformation,[status(thm)],[f900]) ).
fof(f905,plain,
( ~ sP83_prd
| sP82_prd ),
inference(cnf_transformation,[status(thm)],[f900]) ).
fof(f907,definition,
( sP84_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,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& 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,[sP84_prd])],[]) ).
fof(f908,plain,
( sP83_prd
<=> ( ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| sP84_prd ) ),
inference(formula_renaming,[status(thm)],[f898,f907]) ).
fof(f909,plain,
( ( ( ( op(e0,e2) = e0
| op(e0,e0) != e2
| op(e1,e1) = e2
| op(e1,e2) != e1 )
& ~ sP84_prd )
| sP83_prd )
& ( ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| sP84_prd
| ~ sP83_prd ) ),
inference(NNF_transformation,[status(thm)],[f908]) ).
fof(f910,plain,
( op(e1,e2) = e1
| sP84_prd
| ~ sP83_prd ),
inference(cnf_transformation,[status(thm)],[f909]) ).
fof(f911,plain,
( op(e1,e1) != e2
| sP84_prd
| ~ sP83_prd ),
inference(cnf_transformation,[status(thm)],[f909]) ).
fof(f912,plain,
( op(e0,e0) = e2
| sP84_prd
| ~ sP83_prd ),
inference(cnf_transformation,[status(thm)],[f909]) ).
fof(f913,plain,
( op(e0,e2) != e0
| sP84_prd
| ~ sP83_prd ),
inference(cnf_transformation,[status(thm)],[f909]) ).
fof(f914,plain,
( ~ sP84_prd
| sP83_prd ),
inference(cnf_transformation,[status(thm)],[f909]) ).
fof(f915,plain,
( op(e0,e2) = e0
| op(e0,e0) != e2
| op(e1,e1) = e2
| op(e1,e2) != e1
| sP83_prd ),
inference(cnf_transformation,[status(thm)],[f909]) ).
fof(f916,definition,
( sP85_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,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& 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,[sP85_prd])],[]) ).
fof(f917,plain,
( sP84_prd
<=> ( ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| sP85_prd ) ),
inference(formula_renaming,[status(thm)],[f907,f916]) ).
fof(f918,plain,
( ( ( ( op(e3,e1) = e3
| op(e3,e3) != e1
| op(e1,e1) = e1
| op(e1,e1) != e1 )
& ~ sP85_prd )
| sP84_prd )
& ( ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| sP85_prd
| ~ sP84_prd ) ),
inference(NNF_transformation,[status(thm)],[f917]) ).
fof(f919,plain,
( op(e1,e1) = e1
| sP85_prd
| ~ sP84_prd ),
inference(cnf_transformation,[status(thm)],[f918]) ).
fof(f920,plain,
( op(e1,e1) != e1
| sP85_prd
| ~ sP84_prd ),
inference(cnf_transformation,[status(thm)],[f918]) ).
fof(f921,plain,
( op(e3,e3) = e1
| sP85_prd
| ~ sP84_prd ),
inference(cnf_transformation,[status(thm)],[f918]) ).
fof(f922,plain,
( op(e3,e1) != e3
| sP85_prd
| ~ sP84_prd ),
inference(cnf_transformation,[status(thm)],[f918]) ).
fof(f923,plain,
( ~ sP85_prd
| sP84_prd ),
inference(cnf_transformation,[status(thm)],[f918]) ).
fof(f925,definition,
( sP86_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,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& 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,[sP86_prd])],[]) ).
fof(f926,plain,
( sP85_prd
<=> ( ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| sP86_prd ) ),
inference(formula_renaming,[status(thm)],[f916,f925]) ).
fof(f927,plain,
( ( ( ( op(e2,e1) = e2
| op(e2,e2) != e1
| op(e1,e1) = e1
| op(e1,e1) != e1 )
& ~ sP86_prd )
| sP85_prd )
& ( ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| sP86_prd
| ~ sP85_prd ) ),
inference(NNF_transformation,[status(thm)],[f926]) ).
fof(f928,plain,
( op(e1,e1) = e1
| sP86_prd
| ~ sP85_prd ),
inference(cnf_transformation,[status(thm)],[f927]) ).
fof(f929,plain,
( op(e1,e1) != e1
| sP86_prd
| ~ sP85_prd ),
inference(cnf_transformation,[status(thm)],[f927]) ).
fof(f930,plain,
( op(e2,e2) = e1
| sP86_prd
| ~ sP85_prd ),
inference(cnf_transformation,[status(thm)],[f927]) ).
fof(f931,plain,
( op(e2,e1) != e2
| sP86_prd
| ~ sP85_prd ),
inference(cnf_transformation,[status(thm)],[f927]) ).
fof(f932,plain,
( ~ sP86_prd
| sP85_prd ),
inference(cnf_transformation,[status(thm)],[f927]) ).
fof(f934,definition,
( sP87_prd
<=> ( ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& 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,[sP87_prd])],[]) ).
fof(f935,plain,
( sP86_prd
<=> ( ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| sP87_prd ) ),
inference(formula_renaming,[status(thm)],[f925,f934]) ).
fof(f936,plain,
( ( ( ( op(e1,e1) = e1
| op(e1,e1) != e1
| op(e1,e1) = e1
| op(e1,e1) != e1 )
& ~ sP87_prd )
| sP86_prd )
& ( ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| sP87_prd
| ~ sP86_prd ) ),
inference(NNF_transformation,[status(thm)],[f935]) ).
fof(f937,plain,
( op(e1,e1) = e1
| sP87_prd
| ~ sP86_prd ),
inference(cnf_transformation,[status(thm)],[f936]) ).
fof(f938,plain,
( op(e1,e1) != e1
| sP87_prd
| ~ sP86_prd ),
inference(cnf_transformation,[status(thm)],[f936]) ).
fof(f941,plain,
( ~ sP87_prd
| sP86_prd ),
inference(cnf_transformation,[status(thm)],[f936]) ).
fof(f943,definition,
( sP88_prd
<=> ( ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& 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,[sP88_prd])],[]) ).
fof(f944,plain,
( sP87_prd
<=> ( ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| sP88_prd ) ),
inference(formula_renaming,[status(thm)],[f934,f943]) ).
fof(f945,plain,
( ( ( ( op(e0,e1) = e0
| op(e0,e0) != e1
| op(e1,e1) = e1
| op(e1,e1) != e1 )
& ~ sP88_prd )
| sP87_prd )
& ( ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| sP88_prd
| ~ sP87_prd ) ),
inference(NNF_transformation,[status(thm)],[f944]) ).
fof(f946,plain,
( op(e1,e1) = e1
| sP88_prd
| ~ sP87_prd ),
inference(cnf_transformation,[status(thm)],[f945]) ).
fof(f947,plain,
( op(e1,e1) != e1
| sP88_prd
| ~ sP87_prd ),
inference(cnf_transformation,[status(thm)],[f945]) ).
fof(f948,plain,
( op(e0,e0) = e1
| sP88_prd
| ~ sP87_prd ),
inference(cnf_transformation,[status(thm)],[f945]) ).
fof(f949,plain,
( op(e0,e1) != e0
| sP88_prd
| ~ sP87_prd ),
inference(cnf_transformation,[status(thm)],[f945]) ).
fof(f950,plain,
( ~ sP88_prd
| sP87_prd ),
inference(cnf_transformation,[status(thm)],[f945]) ).
fof(f952,definition,
( sP89_prd
<=> ( ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& 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,[sP89_prd])],[]) ).
fof(f953,plain,
( sP88_prd
<=> ( ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| sP89_prd ) ),
inference(formula_renaming,[status(thm)],[f943,f952]) ).
fof(f954,plain,
( ( ( ( op(e3,e0) = e3
| op(e3,e3) != e0
| op(e1,e1) = e0
| op(e1,e0) != e1 )
& ~ sP89_prd )
| sP88_prd )
& ( ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| sP89_prd
| ~ sP88_prd ) ),
inference(NNF_transformation,[status(thm)],[f953]) ).
fof(f955,plain,
( op(e1,e0) = e1
| sP89_prd
| ~ sP88_prd ),
inference(cnf_transformation,[status(thm)],[f954]) ).
fof(f956,plain,
( op(e1,e1) != e0
| sP89_prd
| ~ sP88_prd ),
inference(cnf_transformation,[status(thm)],[f954]) ).
fof(f957,plain,
( op(e3,e3) = e0
| sP89_prd
| ~ sP88_prd ),
inference(cnf_transformation,[status(thm)],[f954]) ).
fof(f958,plain,
( op(e3,e0) != e3
| sP89_prd
| ~ sP88_prd ),
inference(cnf_transformation,[status(thm)],[f954]) ).
fof(f959,plain,
( ~ sP89_prd
| sP88_prd ),
inference(cnf_transformation,[status(thm)],[f954]) ).
fof(f960,plain,
( op(e3,e0) = e3
| op(e3,e3) != e0
| op(e1,e1) = e0
| op(e1,e0) != e1
| sP88_prd ),
inference(cnf_transformation,[status(thm)],[f954]) ).
fof(f961,definition,
( sP90_prd
<=> ( ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& 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,[sP90_prd])],[]) ).
fof(f962,plain,
( sP89_prd
<=> ( ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| sP90_prd ) ),
inference(formula_renaming,[status(thm)],[f952,f961]) ).
fof(f963,plain,
( ( ( ( op(e2,e0) = e2
| op(e2,e2) != e0
| op(e1,e1) = e0
| op(e1,e0) != e1 )
& ~ sP90_prd )
| sP89_prd )
& ( ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| sP90_prd
| ~ sP89_prd ) ),
inference(NNF_transformation,[status(thm)],[f962]) ).
fof(f964,plain,
( op(e1,e0) = e1
| sP90_prd
| ~ sP89_prd ),
inference(cnf_transformation,[status(thm)],[f963]) ).
fof(f965,plain,
( op(e1,e1) != e0
| sP90_prd
| ~ sP89_prd ),
inference(cnf_transformation,[status(thm)],[f963]) ).
fof(f966,plain,
( op(e2,e2) = e0
| sP90_prd
| ~ sP89_prd ),
inference(cnf_transformation,[status(thm)],[f963]) ).
fof(f967,plain,
( op(e2,e0) != e2
| sP90_prd
| ~ sP89_prd ),
inference(cnf_transformation,[status(thm)],[f963]) ).
fof(f968,plain,
( ~ sP90_prd
| sP89_prd ),
inference(cnf_transformation,[status(thm)],[f963]) ).
fof(f970,definition,
( sP91_prd
<=> ( ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& 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,[sP91_prd])],[]) ).
fof(f971,plain,
( sP90_prd
<=> ( ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| sP91_prd ) ),
inference(formula_renaming,[status(thm)],[f961,f970]) ).
fof(f972,plain,
( ( ( ( op(e1,e0) = e1
| op(e1,e1) != e0
| op(e1,e1) = e0
| op(e1,e0) != e1 )
& ~ sP91_prd )
| sP90_prd )
& ( ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| sP91_prd
| ~ sP90_prd ) ),
inference(NNF_transformation,[status(thm)],[f971]) ).
fof(f973,plain,
( op(e1,e0) = e1
| sP91_prd
| ~ sP90_prd ),
inference(cnf_transformation,[status(thm)],[f972]) ).
fof(f974,plain,
( op(e1,e1) != e0
| sP91_prd
| ~ sP90_prd ),
inference(cnf_transformation,[status(thm)],[f972]) ).
fof(f975,plain,
( op(e1,e1) = e0
| sP91_prd
| ~ sP90_prd ),
inference(cnf_transformation,[status(thm)],[f972]) ).
fof(f977,plain,
( ~ sP91_prd
| sP90_prd ),
inference(cnf_transformation,[status(thm)],[f972]) ).
fof(f979,definition,
( sP92_prd
<=> ( ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& 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,[sP92_prd])],[]) ).
fof(f980,plain,
( sP91_prd
<=> ( ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| sP92_prd ) ),
inference(formula_renaming,[status(thm)],[f970,f979]) ).
fof(f981,plain,
( ( ( ( op(e0,e0) = e0
| op(e0,e0) != e0
| op(e1,e1) = e0
| op(e1,e0) != e1 )
& ~ sP92_prd )
| sP91_prd )
& ( ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| sP92_prd
| ~ sP91_prd ) ),
inference(NNF_transformation,[status(thm)],[f980]) ).
fof(f982,plain,
( op(e1,e0) = e1
| sP92_prd
| ~ sP91_prd ),
inference(cnf_transformation,[status(thm)],[f981]) ).
fof(f983,plain,
( op(e1,e1) != e0
| sP92_prd
| ~ sP91_prd ),
inference(cnf_transformation,[status(thm)],[f981]) ).
fof(f984,plain,
( op(e0,e0) = e0
| sP92_prd
| ~ sP91_prd ),
inference(cnf_transformation,[status(thm)],[f981]) ).
fof(f985,plain,
( op(e0,e0) != e0
| sP92_prd
| ~ sP91_prd ),
inference(cnf_transformation,[status(thm)],[f981]) ).
fof(f986,plain,
( ~ sP92_prd
| sP91_prd ),
inference(cnf_transformation,[status(thm)],[f981]) ).
fof(f988,definition,
( sP93_prd
<=> ( ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& 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,[sP93_prd])],[]) ).
fof(f989,plain,
( sP92_prd
<=> ( ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| sP93_prd ) ),
inference(formula_renaming,[status(thm)],[f979,f988]) ).
fof(f990,plain,
( ( ( ( op(e3,e3) = e3
| op(e3,e3) != e3
| op(e0,e0) = e3
| op(e0,e3) != e0 )
& ~ sP93_prd )
| sP92_prd )
& ( ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| sP93_prd
| ~ sP92_prd ) ),
inference(NNF_transformation,[status(thm)],[f989]) ).
fof(f991,plain,
( op(e0,e3) = e0
| sP93_prd
| ~ sP92_prd ),
inference(cnf_transformation,[status(thm)],[f990]) ).
fof(f992,plain,
( op(e0,e0) != e3
| sP93_prd
| ~ sP92_prd ),
inference(cnf_transformation,[status(thm)],[f990]) ).
fof(f993,plain,
( op(e3,e3) = e3
| sP93_prd
| ~ sP92_prd ),
inference(cnf_transformation,[status(thm)],[f990]) ).
fof(f994,plain,
( op(e3,e3) != e3
| sP93_prd
| ~ sP92_prd ),
inference(cnf_transformation,[status(thm)],[f990]) ).
fof(f995,plain,
( ~ sP93_prd
| sP92_prd ),
inference(cnf_transformation,[status(thm)],[f990]) ).
fof(f997,definition,
( sP94_prd
<=> ( ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& 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,[sP94_prd])],[]) ).
fof(f998,plain,
( sP93_prd
<=> ( ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| sP94_prd ) ),
inference(formula_renaming,[status(thm)],[f988,f997]) ).
fof(f999,plain,
( ( ( ( op(e2,e3) = e2
| op(e2,e2) != e3
| op(e0,e0) = e3
| op(e0,e3) != e0 )
& ~ sP94_prd )
| sP93_prd )
& ( ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| sP94_prd
| ~ sP93_prd ) ),
inference(NNF_transformation,[status(thm)],[f998]) ).
fof(f1000,plain,
( op(e0,e3) = e0
| sP94_prd
| ~ sP93_prd ),
inference(cnf_transformation,[status(thm)],[f999]) ).
fof(f1001,plain,
( op(e0,e0) != e3
| sP94_prd
| ~ sP93_prd ),
inference(cnf_transformation,[status(thm)],[f999]) ).
fof(f1002,plain,
( op(e2,e2) = e3
| sP94_prd
| ~ sP93_prd ),
inference(cnf_transformation,[status(thm)],[f999]) ).
fof(f1003,plain,
( op(e2,e3) != e2
| sP94_prd
| ~ sP93_prd ),
inference(cnf_transformation,[status(thm)],[f999]) ).
fof(f1004,plain,
( ~ sP94_prd
| sP93_prd ),
inference(cnf_transformation,[status(thm)],[f999]) ).
fof(f1005,plain,
( op(e2,e3) = e2
| op(e2,e2) != e3
| op(e0,e0) = e3
| op(e0,e3) != e0
| sP93_prd ),
inference(cnf_transformation,[status(thm)],[f999]) ).
fof(f1006,definition,
( sP95_prd
<=> ( ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& 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,[sP95_prd])],[]) ).
fof(f1007,plain,
( sP94_prd
<=> ( ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| sP95_prd ) ),
inference(formula_renaming,[status(thm)],[f997,f1006]) ).
fof(f1008,plain,
( ( ( ( op(e1,e3) = e1
| op(e1,e1) != e3
| op(e0,e0) = e3
| op(e0,e3) != e0 )
& ~ sP95_prd )
| sP94_prd )
& ( ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| sP95_prd
| ~ sP94_prd ) ),
inference(NNF_transformation,[status(thm)],[f1007]) ).
fof(f1009,plain,
( op(e0,e3) = e0
| sP95_prd
| ~ sP94_prd ),
inference(cnf_transformation,[status(thm)],[f1008]) ).
fof(f1010,plain,
( op(e0,e0) != e3
| sP95_prd
| ~ sP94_prd ),
inference(cnf_transformation,[status(thm)],[f1008]) ).
fof(f1011,plain,
( op(e1,e1) = e3
| sP95_prd
| ~ sP94_prd ),
inference(cnf_transformation,[status(thm)],[f1008]) ).
fof(f1012,plain,
( op(e1,e3) != e1
| sP95_prd
| ~ sP94_prd ),
inference(cnf_transformation,[status(thm)],[f1008]) ).
fof(f1013,plain,
( ~ sP95_prd
| sP94_prd ),
inference(cnf_transformation,[status(thm)],[f1008]) ).
fof(f1015,definition,
( sP96_prd
<=> ( ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& 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,[sP96_prd])],[]) ).
fof(f1016,plain,
( sP95_prd
<=> ( ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| sP96_prd ) ),
inference(formula_renaming,[status(thm)],[f1006,f1015]) ).
fof(f1017,plain,
( ( ( ( op(e0,e3) = e0
| op(e0,e0) != e3
| op(e0,e0) = e3
| op(e0,e3) != e0 )
& ~ sP96_prd )
| sP95_prd )
& ( ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| sP96_prd
| ~ sP95_prd ) ),
inference(NNF_transformation,[status(thm)],[f1016]) ).
fof(f1018,plain,
( op(e0,e3) = e0
| sP96_prd
| ~ sP95_prd ),
inference(cnf_transformation,[status(thm)],[f1017]) ).
fof(f1019,plain,
( op(e0,e0) != e3
| sP96_prd
| ~ sP95_prd ),
inference(cnf_transformation,[status(thm)],[f1017]) ).
fof(f1020,plain,
( op(e0,e0) = e3
| sP96_prd
| ~ sP95_prd ),
inference(cnf_transformation,[status(thm)],[f1017]) ).
fof(f1021,plain,
( op(e0,e3) != e0
| sP96_prd
| ~ sP95_prd ),
inference(cnf_transformation,[status(thm)],[f1017]) ).
fof(f1022,plain,
( ~ sP96_prd
| sP95_prd ),
inference(cnf_transformation,[status(thm)],[f1017]) ).
fof(f1024,definition,
( sP97_prd
<=> ( ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& 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,[sP97_prd])],[]) ).
fof(f1025,plain,
( sP96_prd
<=> ( ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| sP97_prd ) ),
inference(formula_renaming,[status(thm)],[f1015,f1024]) ).
fof(f1026,plain,
( ( ( ( op(e3,e2) = e3
| op(e3,e3) != e2
| op(e0,e0) = e2
| op(e0,e2) != e0 )
& ~ sP97_prd )
| sP96_prd )
& ( ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| sP97_prd
| ~ sP96_prd ) ),
inference(NNF_transformation,[status(thm)],[f1025]) ).
fof(f1027,plain,
( op(e0,e2) = e0
| sP97_prd
| ~ sP96_prd ),
inference(cnf_transformation,[status(thm)],[f1026]) ).
fof(f1028,plain,
( op(e0,e0) != e2
| sP97_prd
| ~ sP96_prd ),
inference(cnf_transformation,[status(thm)],[f1026]) ).
fof(f1029,plain,
( op(e3,e3) = e2
| sP97_prd
| ~ sP96_prd ),
inference(cnf_transformation,[status(thm)],[f1026]) ).
fof(f1030,plain,
( op(e3,e2) != e3
| sP97_prd
| ~ sP96_prd ),
inference(cnf_transformation,[status(thm)],[f1026]) ).
fof(f1031,plain,
( ~ sP97_prd
| sP96_prd ),
inference(cnf_transformation,[status(thm)],[f1026]) ).
fof(f1032,plain,
( op(e3,e2) = e3
| op(e3,e3) != e2
| op(e0,e0) = e2
| op(e0,e2) != e0
| sP96_prd ),
inference(cnf_transformation,[status(thm)],[f1026]) ).
fof(f1033,definition,
( sP98_prd
<=> ( ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& 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,[sP98_prd])],[]) ).
fof(f1034,plain,
( sP97_prd
<=> ( ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| sP98_prd ) ),
inference(formula_renaming,[status(thm)],[f1024,f1033]) ).
fof(f1035,plain,
( ( ( ( op(e2,e2) = e2
| op(e2,e2) != e2
| op(e0,e0) = e2
| op(e0,e2) != e0 )
& ~ sP98_prd )
| sP97_prd )
& ( ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| sP98_prd
| ~ sP97_prd ) ),
inference(NNF_transformation,[status(thm)],[f1034]) ).
fof(f1036,plain,
( op(e0,e2) = e0
| sP98_prd
| ~ sP97_prd ),
inference(cnf_transformation,[status(thm)],[f1035]) ).
fof(f1037,plain,
( op(e0,e0) != e2
| sP98_prd
| ~ sP97_prd ),
inference(cnf_transformation,[status(thm)],[f1035]) ).
fof(f1038,plain,
( op(e2,e2) = e2
| sP98_prd
| ~ sP97_prd ),
inference(cnf_transformation,[status(thm)],[f1035]) ).
fof(f1039,plain,
( op(e2,e2) != e2
| sP98_prd
| ~ sP97_prd ),
inference(cnf_transformation,[status(thm)],[f1035]) ).
fof(f1040,plain,
( ~ sP98_prd
| sP97_prd ),
inference(cnf_transformation,[status(thm)],[f1035]) ).
fof(f1042,definition,
( sP99_prd
<=> ( ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& 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,[sP99_prd])],[]) ).
fof(f1043,plain,
( sP98_prd
<=> ( ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| sP99_prd ) ),
inference(formula_renaming,[status(thm)],[f1033,f1042]) ).
fof(f1044,plain,
( ( ( ( op(e1,e2) = e1
| op(e1,e1) != e2
| op(e0,e0) = e2
| op(e0,e2) != e0 )
& ~ sP99_prd )
| sP98_prd )
& ( ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| sP99_prd
| ~ sP98_prd ) ),
inference(NNF_transformation,[status(thm)],[f1043]) ).
fof(f1045,plain,
( op(e0,e2) = e0
| sP99_prd
| ~ sP98_prd ),
inference(cnf_transformation,[status(thm)],[f1044]) ).
fof(f1046,plain,
( op(e0,e0) != e2
| sP99_prd
| ~ sP98_prd ),
inference(cnf_transformation,[status(thm)],[f1044]) ).
fof(f1047,plain,
( op(e1,e1) = e2
| sP99_prd
| ~ sP98_prd ),
inference(cnf_transformation,[status(thm)],[f1044]) ).
fof(f1048,plain,
( op(e1,e2) != e1
| sP99_prd
| ~ sP98_prd ),
inference(cnf_transformation,[status(thm)],[f1044]) ).
fof(f1049,plain,
( ~ sP99_prd
| sP98_prd ),
inference(cnf_transformation,[status(thm)],[f1044]) ).
fof(f1050,plain,
( op(e1,e2) = e1
| op(e1,e1) != e2
| op(e0,e0) = e2
| op(e0,e2) != e0
| sP98_prd ),
inference(cnf_transformation,[status(thm)],[f1044]) ).
fof(f1051,definition,
( sP100_prd
<=> ( ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& 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,[sP100_prd])],[]) ).
fof(f1052,plain,
( sP99_prd
<=> ( ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| sP100_prd ) ),
inference(formula_renaming,[status(thm)],[f1042,f1051]) ).
fof(f1053,plain,
( ( ( ( op(e0,e2) = e0
| op(e0,e0) != e2
| op(e0,e0) = e2
| op(e0,e2) != e0 )
& ~ sP100_prd )
| sP99_prd )
& ( ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| sP100_prd
| ~ sP99_prd ) ),
inference(NNF_transformation,[status(thm)],[f1052]) ).
fof(f1054,plain,
( op(e0,e2) = e0
| sP100_prd
| ~ sP99_prd ),
inference(cnf_transformation,[status(thm)],[f1053]) ).
fof(f1055,plain,
( op(e0,e0) != e2
| sP100_prd
| ~ sP99_prd ),
inference(cnf_transformation,[status(thm)],[f1053]) ).
fof(f1056,plain,
( op(e0,e0) = e2
| sP100_prd
| ~ sP99_prd ),
inference(cnf_transformation,[status(thm)],[f1053]) ).
fof(f1057,plain,
( op(e0,e2) != e0
| sP100_prd
| ~ sP99_prd ),
inference(cnf_transformation,[status(thm)],[f1053]) ).
fof(f1058,plain,
( ~ sP100_prd
| sP99_prd ),
inference(cnf_transformation,[status(thm)],[f1053]) ).
fof(f1060,definition,
( sP101_prd
<=> ( ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& 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,[sP101_prd])],[]) ).
fof(f1061,plain,
( sP100_prd
<=> ( ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| sP101_prd ) ),
inference(formula_renaming,[status(thm)],[f1051,f1060]) ).
fof(f1062,plain,
( ( ( ( op(e3,e1) = e3
| op(e3,e3) != e1
| op(e0,e0) = e1
| op(e0,e1) != e0 )
& ~ sP101_prd )
| sP100_prd )
& ( ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| sP101_prd
| ~ sP100_prd ) ),
inference(NNF_transformation,[status(thm)],[f1061]) ).
fof(f1063,plain,
( op(e0,e1) = e0
| sP101_prd
| ~ sP100_prd ),
inference(cnf_transformation,[status(thm)],[f1062]) ).
fof(f1064,plain,
( op(e0,e0) != e1
| sP101_prd
| ~ sP100_prd ),
inference(cnf_transformation,[status(thm)],[f1062]) ).
fof(f1065,plain,
( op(e3,e3) = e1
| sP101_prd
| ~ sP100_prd ),
inference(cnf_transformation,[status(thm)],[f1062]) ).
fof(f1066,plain,
( op(e3,e1) != e3
| sP101_prd
| ~ sP100_prd ),
inference(cnf_transformation,[status(thm)],[f1062]) ).
fof(f1067,plain,
( ~ sP101_prd
| sP100_prd ),
inference(cnf_transformation,[status(thm)],[f1062]) ).
fof(f1068,plain,
( op(e3,e1) = e3
| op(e3,e3) != e1
| op(e0,e0) = e1
| op(e0,e1) != e0
| sP100_prd ),
inference(cnf_transformation,[status(thm)],[f1062]) ).
fof(f1069,definition,
( sP102_prd
<=> ( ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& 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,[sP102_prd])],[]) ).
fof(f1070,plain,
( sP101_prd
<=> ( ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| sP102_prd ) ),
inference(formula_renaming,[status(thm)],[f1060,f1069]) ).
fof(f1071,plain,
( ( ( ( op(e2,e1) = e2
| op(e2,e2) != e1
| op(e0,e0) = e1
| op(e0,e1) != e0 )
& ~ sP102_prd )
| sP101_prd )
& ( ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| sP102_prd
| ~ sP101_prd ) ),
inference(NNF_transformation,[status(thm)],[f1070]) ).
fof(f1072,plain,
( op(e0,e1) = e0
| sP102_prd
| ~ sP101_prd ),
inference(cnf_transformation,[status(thm)],[f1071]) ).
fof(f1073,plain,
( op(e0,e0) != e1
| sP102_prd
| ~ sP101_prd ),
inference(cnf_transformation,[status(thm)],[f1071]) ).
fof(f1074,plain,
( op(e2,e2) = e1
| sP102_prd
| ~ sP101_prd ),
inference(cnf_transformation,[status(thm)],[f1071]) ).
fof(f1075,plain,
( op(e2,e1) != e2
| sP102_prd
| ~ sP101_prd ),
inference(cnf_transformation,[status(thm)],[f1071]) ).
fof(f1076,plain,
( ~ sP102_prd
| sP101_prd ),
inference(cnf_transformation,[status(thm)],[f1071]) ).
fof(f1078,definition,
( sP103_prd
<=> ( ( op(e0,e1) != e0
& op(e0,e0) = e1
& 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,[sP103_prd])],[]) ).
fof(f1079,plain,
( sP102_prd
<=> ( ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| sP103_prd ) ),
inference(formula_renaming,[status(thm)],[f1069,f1078]) ).
fof(f1080,plain,
( ( ( ( op(e1,e1) = e1
| op(e1,e1) != e1
| op(e0,e0) = e1
| op(e0,e1) != e0 )
& ~ sP103_prd )
| sP102_prd )
& ( ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| sP103_prd
| ~ sP102_prd ) ),
inference(NNF_transformation,[status(thm)],[f1079]) ).
fof(f1081,plain,
( op(e0,e1) = e0
| sP103_prd
| ~ sP102_prd ),
inference(cnf_transformation,[status(thm)],[f1080]) ).
fof(f1082,plain,
( op(e0,e0) != e1
| sP103_prd
| ~ sP102_prd ),
inference(cnf_transformation,[status(thm)],[f1080]) ).
fof(f1083,plain,
( op(e1,e1) = e1
| sP103_prd
| ~ sP102_prd ),
inference(cnf_transformation,[status(thm)],[f1080]) ).
fof(f1084,plain,
( op(e1,e1) != e1
| sP103_prd
| ~ sP102_prd ),
inference(cnf_transformation,[status(thm)],[f1080]) ).
fof(f1085,plain,
( ~ sP103_prd
| sP102_prd ),
inference(cnf_transformation,[status(thm)],[f1080]) ).
fof(f1087,definition,
( sP104_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,[sP104_prd])],[]) ).
fof(f1088,plain,
( sP103_prd
<=> ( ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| sP104_prd ) ),
inference(formula_renaming,[status(thm)],[f1078,f1087]) ).
fof(f1089,plain,
( ( ( ( op(e0,e1) = e0
| op(e0,e0) != e1
| op(e0,e0) = e1
| op(e0,e1) != e0 )
& ~ sP104_prd )
| sP103_prd )
& ( ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| sP104_prd
| ~ sP103_prd ) ),
inference(NNF_transformation,[status(thm)],[f1088]) ).
fof(f1090,plain,
( op(e0,e1) = e0
| sP104_prd
| ~ sP103_prd ),
inference(cnf_transformation,[status(thm)],[f1089]) ).
fof(f1091,plain,
( op(e0,e0) != e1
| sP104_prd
| ~ sP103_prd ),
inference(cnf_transformation,[status(thm)],[f1089]) ).
fof(f1092,plain,
( op(e0,e0) = e1
| sP104_prd
| ~ sP103_prd ),
inference(cnf_transformation,[status(thm)],[f1089]) ).
fof(f1093,plain,
( op(e0,e1) != e0
| sP104_prd
| ~ sP103_prd ),
inference(cnf_transformation,[status(thm)],[f1089]) ).
fof(f1094,plain,
( ~ sP104_prd
| sP103_prd ),
inference(cnf_transformation,[status(thm)],[f1089]) ).
fof(f1096,definition,
( sP105_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,[sP105_prd])],[]) ).
fof(f1097,plain,
( sP104_prd
<=> ( ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| sP105_prd ) ),
inference(formula_renaming,[status(thm)],[f1087,f1096]) ).
fof(f1098,plain,
( ( ( ( op(e3,e0) = e3
| op(e3,e3) != e0
| op(e0,e0) = e0
| op(e0,e0) != e0 )
& ~ sP105_prd )
| sP104_prd )
& ( ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| sP105_prd
| ~ sP104_prd ) ),
inference(NNF_transformation,[status(thm)],[f1097]) ).
fof(f1099,plain,
( op(e0,e0) = e0
| sP105_prd
| ~ sP104_prd ),
inference(cnf_transformation,[status(thm)],[f1098]) ).
fof(f1100,plain,
( op(e0,e0) != e0
| sP105_prd
| ~ sP104_prd ),
inference(cnf_transformation,[status(thm)],[f1098]) ).
fof(f1101,plain,
( op(e3,e3) = e0
| sP105_prd
| ~ sP104_prd ),
inference(cnf_transformation,[status(thm)],[f1098]) ).
fof(f1102,plain,
( op(e3,e0) != e3
| sP105_prd
| ~ sP104_prd ),
inference(cnf_transformation,[status(thm)],[f1098]) ).
fof(f1103,plain,
( ~ sP105_prd
| sP104_prd ),
inference(cnf_transformation,[status(thm)],[f1098]) ).
fof(f1105,definition,
( sP106_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,[sP106_prd])],[]) ).
fof(f1106,plain,
( sP105_prd
<=> ( ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| sP106_prd ) ),
inference(formula_renaming,[status(thm)],[f1096,f1105]) ).
fof(f1107,plain,
( ( ( ( op(e2,e0) = e2
| op(e2,e2) != e0
| op(e0,e0) = e0
| op(e0,e0) != e0 )
& ~ sP106_prd )
| sP105_prd )
& ( ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| sP106_prd
| ~ sP105_prd ) ),
inference(NNF_transformation,[status(thm)],[f1106]) ).
fof(f1108,plain,
( op(e0,e0) = e0
| sP106_prd
| ~ sP105_prd ),
inference(cnf_transformation,[status(thm)],[f1107]) ).
fof(f1109,plain,
( op(e0,e0) != e0
| sP106_prd
| ~ sP105_prd ),
inference(cnf_transformation,[status(thm)],[f1107]) ).
fof(f1110,plain,
( op(e2,e2) = e0
| sP106_prd
| ~ sP105_prd ),
inference(cnf_transformation,[status(thm)],[f1107]) ).
fof(f1111,plain,
( op(e2,e0) != e2
| sP106_prd
| ~ sP105_prd ),
inference(cnf_transformation,[status(thm)],[f1107]) ).
fof(f1112,plain,
( ~ sP106_prd
| sP105_prd ),
inference(cnf_transformation,[status(thm)],[f1107]) ).
fof(f1114,definition,
( sP107_prd
<=> ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ),
introduced(definition,[new_symbols(definition,[sP107_prd])],[]) ).
fof(f1115,plain,
( sP106_prd
<=> ( ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| sP107_prd ) ),
inference(formula_renaming,[status(thm)],[f1105,f1114]) ).
fof(f1116,plain,
( ( ( ( op(e1,e0) = e1
| op(e1,e1) != e0
| op(e0,e0) = e0
| op(e0,e0) != e0 )
& ~ sP107_prd )
| sP106_prd )
& ( ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| sP107_prd
| ~ sP106_prd ) ),
inference(NNF_transformation,[status(thm)],[f1115]) ).
fof(f1117,plain,
( op(e0,e0) = e0
| sP107_prd
| ~ sP106_prd ),
inference(cnf_transformation,[status(thm)],[f1116]) ).
fof(f1118,plain,
( op(e0,e0) != e0
| sP107_prd
| ~ sP106_prd ),
inference(cnf_transformation,[status(thm)],[f1116]) ).
fof(f1119,plain,
( op(e1,e1) = e0
| sP107_prd
| ~ sP106_prd ),
inference(cnf_transformation,[status(thm)],[f1116]) ).
fof(f1121,plain,
( ~ sP107_prd
| sP106_prd ),
inference(cnf_transformation,[status(thm)],[f1116]) ).
fof(f1123,plain,
( ( op(e0,e0) = e0
| op(e0,e0) != e0
| op(e0,e0) = e0
| op(e0,e0) != e0
| sP107_prd )
& ( ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ~ sP107_prd ) ),
inference(NNF_transformation,[status(thm)],[f1114]) ).
fof(f1124,plain,
( op(e0,e0) = e0
| ~ sP107_prd ),
inference(cnf_transformation,[status(thm)],[f1123]) ).
fof(f1125,plain,
( op(e0,e0) != e0
| ~ sP107_prd ),
inference(cnf_transformation,[status(thm)],[f1123]) ).
fof(f1129,definition,
( sQ0_spl
<=> op(e0,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f1130,plain,
( ~ sQ0_spl
| op(e0,e0) = e0 ),
inference(component_clause,[status(thm)],[f1129]) ).
fof(f1132,definition,
( sQ1_spl
<=> op(e0,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f1133,plain,
( ~ sQ1_spl
| op(e0,e0) = e1 ),
inference(component_clause,[status(thm)],[f1132]) ).
fof(f1135,definition,
( sQ2_spl
<=> op(e0,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f1136,plain,
( ~ sQ2_spl
| op(e0,e0) = e2 ),
inference(component_clause,[status(thm)],[f1135]) ).
fof(f1138,definition,
( sQ3_spl
<=> op(e0,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f1139,plain,
( ~ sQ3_spl
| op(e0,e0) = e3 ),
inference(component_clause,[status(thm)],[f1138]) ).
fof(f1141,plain,
( sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f30,f1129,f1132,f1135,f1138]) ).
fof(f1142,definition,
( sQ4_spl
<=> op(e0,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f1143,plain,
( ~ sQ4_spl
| op(e0,e1) = e0 ),
inference(component_clause,[status(thm)],[f1142]) ).
fof(f1145,definition,
( sQ5_spl
<=> op(e0,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f1146,plain,
( ~ sQ5_spl
| op(e0,e1) = e1 ),
inference(component_clause,[status(thm)],[f1145]) ).
fof(f1148,definition,
( sQ6_spl
<=> op(e0,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f1149,plain,
( ~ sQ6_spl
| op(e0,e1) = e2 ),
inference(component_clause,[status(thm)],[f1148]) ).
fof(f1151,definition,
( sQ7_spl
<=> op(e0,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f1152,plain,
( ~ sQ7_spl
| op(e0,e1) = e3 ),
inference(component_clause,[status(thm)],[f1151]) ).
fof(f1154,plain,
( sQ7_spl
| sQ6_spl
| sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f31,f1142,f1145,f1148,f1151]) ).
fof(f1155,definition,
( sQ8_spl
<=> op(e0,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f1156,plain,
( ~ sQ8_spl
| op(e0,e2) = e0 ),
inference(component_clause,[status(thm)],[f1155]) ).
fof(f1158,definition,
( sQ9_spl
<=> op(e0,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f1159,plain,
( ~ sQ9_spl
| op(e0,e2) = e1 ),
inference(component_clause,[status(thm)],[f1158]) ).
fof(f1161,definition,
( sQ10_spl
<=> op(e0,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f1162,plain,
( ~ sQ10_spl
| op(e0,e2) = e2 ),
inference(component_clause,[status(thm)],[f1161]) ).
fof(f1164,definition,
( sQ11_spl
<=> op(e0,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f1165,plain,
( ~ sQ11_spl
| op(e0,e2) = e3 ),
inference(component_clause,[status(thm)],[f1164]) ).
fof(f1167,plain,
( sQ11_spl
| sQ10_spl
| sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f32,f1155,f1158,f1161,f1164]) ).
fof(f1168,definition,
( sQ12_spl
<=> op(e0,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f1169,plain,
( ~ sQ12_spl
| op(e0,e3) = e0 ),
inference(component_clause,[status(thm)],[f1168]) ).
fof(f1171,definition,
( sQ13_spl
<=> op(e0,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f1172,plain,
( ~ sQ13_spl
| op(e0,e3) = e1 ),
inference(component_clause,[status(thm)],[f1171]) ).
fof(f1174,definition,
( sQ14_spl
<=> op(e0,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f1175,plain,
( ~ sQ14_spl
| op(e0,e3) = e2 ),
inference(component_clause,[status(thm)],[f1174]) ).
fof(f1177,definition,
( sQ15_spl
<=> op(e0,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f1178,plain,
( ~ sQ15_spl
| op(e0,e3) = e3 ),
inference(component_clause,[status(thm)],[f1177]) ).
fof(f1180,plain,
( sQ15_spl
| sQ14_spl
| sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f33,f1168,f1171,f1174,f1177]) ).
fof(f1181,definition,
( sQ16_spl
<=> op(e1,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f1182,plain,
( ~ sQ16_spl
| op(e1,e0) = e0 ),
inference(component_clause,[status(thm)],[f1181]) ).
fof(f1184,definition,
( sQ17_spl
<=> op(e1,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f1185,plain,
( ~ sQ17_spl
| op(e1,e0) = e1 ),
inference(component_clause,[status(thm)],[f1184]) ).
fof(f1187,definition,
( sQ18_spl
<=> op(e1,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f1188,plain,
( ~ sQ18_spl
| op(e1,e0) = e2 ),
inference(component_clause,[status(thm)],[f1187]) ).
fof(f1190,definition,
( sQ19_spl
<=> op(e1,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f1191,plain,
( ~ sQ19_spl
| op(e1,e0) = e3 ),
inference(component_clause,[status(thm)],[f1190]) ).
fof(f1193,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f34,f1181,f1184,f1187,f1190]) ).
fof(f1194,definition,
( sQ20_spl
<=> op(e1,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f1195,plain,
( ~ sQ20_spl
| op(e1,e1) = e0 ),
inference(component_clause,[status(thm)],[f1194]) ).
fof(f1197,definition,
( sQ21_spl
<=> op(e1,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f1198,plain,
( ~ sQ21_spl
| op(e1,e1) = e1 ),
inference(component_clause,[status(thm)],[f1197]) ).
fof(f1200,definition,
( sQ22_spl
<=> op(e1,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f1201,plain,
( ~ sQ22_spl
| op(e1,e1) = e2 ),
inference(component_clause,[status(thm)],[f1200]) ).
fof(f1203,definition,
( sQ23_spl
<=> op(e1,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f1204,plain,
( ~ sQ23_spl
| op(e1,e1) = e3 ),
inference(component_clause,[status(thm)],[f1203]) ).
fof(f1206,plain,
( sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f35,f1194,f1197,f1200,f1203]) ).
fof(f1207,definition,
( sQ24_spl
<=> op(e1,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f1208,plain,
( ~ sQ24_spl
| op(e1,e2) = e0 ),
inference(component_clause,[status(thm)],[f1207]) ).
fof(f1210,definition,
( sQ25_spl
<=> op(e1,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f1211,plain,
( ~ sQ25_spl
| op(e1,e2) = e1 ),
inference(component_clause,[status(thm)],[f1210]) ).
fof(f1213,definition,
( sQ26_spl
<=> op(e1,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f1214,plain,
( ~ sQ26_spl
| op(e1,e2) = e2 ),
inference(component_clause,[status(thm)],[f1213]) ).
fof(f1216,definition,
( sQ27_spl
<=> op(e1,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f1217,plain,
( ~ sQ27_spl
| op(e1,e2) = e3 ),
inference(component_clause,[status(thm)],[f1216]) ).
fof(f1219,plain,
( sQ27_spl
| sQ26_spl
| sQ25_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f36,f1207,f1210,f1213,f1216]) ).
fof(f1220,definition,
( sQ28_spl
<=> op(e1,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f1221,plain,
( ~ sQ28_spl
| op(e1,e3) = e0 ),
inference(component_clause,[status(thm)],[f1220]) ).
fof(f1223,definition,
( sQ29_spl
<=> op(e1,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f1224,plain,
( ~ sQ29_spl
| op(e1,e3) = e1 ),
inference(component_clause,[status(thm)],[f1223]) ).
fof(f1226,definition,
( sQ30_spl
<=> op(e1,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f1227,plain,
( ~ sQ30_spl
| op(e1,e3) = e2 ),
inference(component_clause,[status(thm)],[f1226]) ).
fof(f1229,definition,
( sQ31_spl
<=> op(e1,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f1230,plain,
( ~ sQ31_spl
| op(e1,e3) = e3 ),
inference(component_clause,[status(thm)],[f1229]) ).
fof(f1232,plain,
( sQ31_spl
| sQ30_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f37,f1220,f1223,f1226,f1229]) ).
fof(f1233,definition,
( sQ32_spl
<=> op(e2,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f1234,plain,
( ~ sQ32_spl
| op(e2,e0) = e0 ),
inference(component_clause,[status(thm)],[f1233]) ).
fof(f1236,definition,
( sQ33_spl
<=> op(e2,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f1237,plain,
( ~ sQ33_spl
| op(e2,e0) = e1 ),
inference(component_clause,[status(thm)],[f1236]) ).
fof(f1239,definition,
( sQ34_spl
<=> op(e2,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f1240,plain,
( ~ sQ34_spl
| op(e2,e0) = e2 ),
inference(component_clause,[status(thm)],[f1239]) ).
fof(f1242,definition,
( sQ35_spl
<=> op(e2,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f1243,plain,
( ~ sQ35_spl
| op(e2,e0) = e3 ),
inference(component_clause,[status(thm)],[f1242]) ).
fof(f1245,plain,
( sQ35_spl
| sQ34_spl
| sQ33_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f38,f1233,f1236,f1239,f1242]) ).
fof(f1246,definition,
( sQ36_spl
<=> op(e2,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f1247,plain,
( ~ sQ36_spl
| op(e2,e1) = e0 ),
inference(component_clause,[status(thm)],[f1246]) ).
fof(f1249,definition,
( sQ37_spl
<=> op(e2,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f1250,plain,
( ~ sQ37_spl
| op(e2,e1) = e1 ),
inference(component_clause,[status(thm)],[f1249]) ).
fof(f1252,definition,
( sQ38_spl
<=> op(e2,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f1253,plain,
( ~ sQ38_spl
| op(e2,e1) = e2 ),
inference(component_clause,[status(thm)],[f1252]) ).
fof(f1255,definition,
( sQ39_spl
<=> op(e2,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f1256,plain,
( ~ sQ39_spl
| op(e2,e1) = e3 ),
inference(component_clause,[status(thm)],[f1255]) ).
fof(f1258,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f39,f1246,f1249,f1252,f1255]) ).
fof(f1259,definition,
( sQ40_spl
<=> op(e2,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f1260,plain,
( ~ sQ40_spl
| op(e2,e2) = e0 ),
inference(component_clause,[status(thm)],[f1259]) ).
fof(f1262,definition,
( sQ41_spl
<=> op(e2,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f1263,plain,
( ~ sQ41_spl
| op(e2,e2) = e1 ),
inference(component_clause,[status(thm)],[f1262]) ).
fof(f1265,definition,
( sQ42_spl
<=> op(e2,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f1266,plain,
( ~ sQ42_spl
| op(e2,e2) = e2 ),
inference(component_clause,[status(thm)],[f1265]) ).
fof(f1268,definition,
( sQ43_spl
<=> op(e2,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f1269,plain,
( ~ sQ43_spl
| op(e2,e2) = e3 ),
inference(component_clause,[status(thm)],[f1268]) ).
fof(f1271,plain,
( sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f40,f1259,f1262,f1265,f1268]) ).
fof(f1272,definition,
( sQ44_spl
<=> op(e2,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f1273,plain,
( ~ sQ44_spl
| op(e2,e3) = e0 ),
inference(component_clause,[status(thm)],[f1272]) ).
fof(f1275,definition,
( sQ45_spl
<=> op(e2,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f1276,plain,
( ~ sQ45_spl
| op(e2,e3) = e1 ),
inference(component_clause,[status(thm)],[f1275]) ).
fof(f1278,definition,
( sQ46_spl
<=> op(e2,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f1279,plain,
( ~ sQ46_spl
| op(e2,e3) = e2 ),
inference(component_clause,[status(thm)],[f1278]) ).
fof(f1281,definition,
( sQ47_spl
<=> op(e2,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f1282,plain,
( ~ sQ47_spl
| op(e2,e3) = e3 ),
inference(component_clause,[status(thm)],[f1281]) ).
fof(f1284,plain,
( sQ47_spl
| sQ46_spl
| sQ45_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f41,f1272,f1275,f1278,f1281]) ).
fof(f1285,definition,
( sQ48_spl
<=> op(e3,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f1286,plain,
( ~ sQ48_spl
| op(e3,e0) = e0 ),
inference(component_clause,[status(thm)],[f1285]) ).
fof(f1288,definition,
( sQ49_spl
<=> op(e3,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f1289,plain,
( ~ sQ49_spl
| op(e3,e0) = e1 ),
inference(component_clause,[status(thm)],[f1288]) ).
fof(f1291,definition,
( sQ50_spl
<=> op(e3,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f1292,plain,
( ~ sQ50_spl
| op(e3,e0) = e2 ),
inference(component_clause,[status(thm)],[f1291]) ).
fof(f1294,definition,
( sQ51_spl
<=> op(e3,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f1295,plain,
( ~ sQ51_spl
| op(e3,e0) = e3 ),
inference(component_clause,[status(thm)],[f1294]) ).
fof(f1297,plain,
( sQ51_spl
| sQ50_spl
| sQ49_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f42,f1285,f1288,f1291,f1294]) ).
fof(f1298,definition,
( sQ52_spl
<=> op(e3,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f1299,plain,
( ~ sQ52_spl
| op(e3,e1) = e0 ),
inference(component_clause,[status(thm)],[f1298]) ).
fof(f1301,definition,
( sQ53_spl
<=> op(e3,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f1302,plain,
( ~ sQ53_spl
| op(e3,e1) = e1 ),
inference(component_clause,[status(thm)],[f1301]) ).
fof(f1304,definition,
( sQ54_spl
<=> op(e3,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f1305,plain,
( ~ sQ54_spl
| op(e3,e1) = e2 ),
inference(component_clause,[status(thm)],[f1304]) ).
fof(f1307,definition,
( sQ55_spl
<=> op(e3,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f1308,plain,
( ~ sQ55_spl
| op(e3,e1) = e3 ),
inference(component_clause,[status(thm)],[f1307]) ).
fof(f1310,plain,
( sQ55_spl
| sQ54_spl
| sQ53_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f43,f1298,f1301,f1304,f1307]) ).
fof(f1311,definition,
( sQ56_spl
<=> op(e3,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f1312,plain,
( ~ sQ56_spl
| op(e3,e2) = e0 ),
inference(component_clause,[status(thm)],[f1311]) ).
fof(f1314,definition,
( sQ57_spl
<=> op(e3,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f1315,plain,
( ~ sQ57_spl
| op(e3,e2) = e1 ),
inference(component_clause,[status(thm)],[f1314]) ).
fof(f1317,definition,
( sQ58_spl
<=> op(e3,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f1318,plain,
( ~ sQ58_spl
| op(e3,e2) = e2 ),
inference(component_clause,[status(thm)],[f1317]) ).
fof(f1320,definition,
( sQ59_spl
<=> op(e3,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f1321,plain,
( ~ sQ59_spl
| op(e3,e2) = e3 ),
inference(component_clause,[status(thm)],[f1320]) ).
fof(f1323,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f44,f1311,f1314,f1317,f1320]) ).
fof(f1324,definition,
( sQ60_spl
<=> op(e3,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f1325,plain,
( ~ sQ60_spl
| op(e3,e3) = e0 ),
inference(component_clause,[status(thm)],[f1324]) ).
fof(f1327,definition,
( sQ61_spl
<=> op(e3,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f1328,plain,
( ~ sQ61_spl
| op(e3,e3) = e1 ),
inference(component_clause,[status(thm)],[f1327]) ).
fof(f1330,definition,
( sQ62_spl
<=> op(e3,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f1331,plain,
( ~ sQ62_spl
| op(e3,e3) = e2 ),
inference(component_clause,[status(thm)],[f1330]) ).
fof(f1333,definition,
( sQ63_spl
<=> op(e3,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f1334,plain,
( ~ sQ63_spl
| op(e3,e3) = e3 ),
inference(component_clause,[status(thm)],[f1333]) ).
fof(f1336,plain,
( sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f45,f1324,f1327,f1330,f1333]) ).
fof(f1337,plain,
( sQ12_spl
| sQ8_spl
| sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f46,f1129,f1142,f1155,f1168]) ).
fof(f1338,plain,
( sQ48_spl
| sQ32_spl
| sQ16_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f47,f1129,f1181,f1233,f1285]) ).
fof(f1339,plain,
( sQ13_spl
| sQ9_spl
| sQ5_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f48,f1132,f1145,f1158,f1171]) ).
fof(f1340,plain,
( sQ49_spl
| sQ33_spl
| sQ17_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f49,f1132,f1184,f1236,f1288]) ).
fof(f1341,plain,
( sQ14_spl
| sQ10_spl
| sQ6_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f50,f1135,f1148,f1161,f1174]) ).
fof(f1342,plain,
( sQ50_spl
| sQ34_spl
| sQ18_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f51,f1135,f1187,f1239,f1291]) ).
fof(f1343,plain,
( sQ15_spl
| sQ11_spl
| sQ7_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f52,f1138,f1151,f1164,f1177]) ).
fof(f1344,plain,
( sQ51_spl
| sQ35_spl
| sQ19_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f53,f1138,f1190,f1242,f1294]) ).
fof(f1345,plain,
( sQ28_spl
| sQ24_spl
| sQ20_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f54,f1181,f1194,f1207,f1220]) ).
fof(f1346,plain,
( sQ52_spl
| sQ36_spl
| sQ20_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f55,f1142,f1194,f1246,f1298]) ).
fof(f1347,plain,
( sQ29_spl
| sQ25_spl
| sQ21_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f56,f1184,f1197,f1210,f1223]) ).
fof(f1348,plain,
( sQ53_spl
| sQ37_spl
| sQ21_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f57,f1145,f1197,f1249,f1301]) ).
fof(f1349,plain,
( sQ30_spl
| sQ26_spl
| sQ22_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f58,f1187,f1200,f1213,f1226]) ).
fof(f1350,plain,
( sQ54_spl
| sQ38_spl
| sQ22_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f59,f1148,f1200,f1252,f1304]) ).
fof(f1351,plain,
( sQ31_spl
| sQ27_spl
| sQ23_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f60,f1190,f1203,f1216,f1229]) ).
fof(f1352,plain,
( sQ55_spl
| sQ39_spl
| sQ23_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f61,f1151,f1203,f1255,f1307]) ).
fof(f1353,plain,
( sQ44_spl
| sQ40_spl
| sQ36_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f62,f1233,f1246,f1259,f1272]) ).
fof(f1354,plain,
( sQ56_spl
| sQ40_spl
| sQ24_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f63,f1155,f1207,f1259,f1311]) ).
fof(f1355,plain,
( sQ45_spl
| sQ41_spl
| sQ37_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f64,f1236,f1249,f1262,f1275]) ).
fof(f1356,plain,
( sQ57_spl
| sQ41_spl
| sQ25_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f65,f1158,f1210,f1262,f1314]) ).
fof(f1357,plain,
( sQ46_spl
| sQ42_spl
| sQ38_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f66,f1239,f1252,f1265,f1278]) ).
fof(f1358,plain,
( sQ58_spl
| sQ42_spl
| sQ26_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f67,f1161,f1213,f1265,f1317]) ).
fof(f1359,plain,
( sQ47_spl
| sQ43_spl
| sQ39_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f68,f1242,f1255,f1268,f1281]) ).
fof(f1360,plain,
( sQ59_spl
| sQ43_spl
| sQ27_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f69,f1164,f1216,f1268,f1320]) ).
fof(f1361,plain,
( sQ60_spl
| sQ56_spl
| sQ52_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f70,f1285,f1298,f1311,f1324]) ).
fof(f1362,plain,
( sQ60_spl
| sQ44_spl
| sQ28_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f71,f1168,f1220,f1272,f1324]) ).
fof(f1363,plain,
( sQ61_spl
| sQ57_spl
| sQ53_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f72,f1288,f1301,f1314,f1327]) ).
fof(f1364,plain,
( sQ61_spl
| sQ45_spl
| sQ29_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f73,f1171,f1223,f1275,f1327]) ).
fof(f1365,plain,
( sQ62_spl
| sQ58_spl
| sQ54_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f74,f1291,f1304,f1317,f1330]) ).
fof(f1366,plain,
( sQ62_spl
| sQ46_spl
| sQ30_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f75,f1174,f1226,f1278,f1330]) ).
fof(f1367,plain,
( sQ63_spl
| sQ59_spl
| sQ55_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f76,f1294,f1307,f1320,f1333]) ).
fof(f1368,plain,
( sQ63_spl
| sQ47_spl
| sQ31_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f77,f1177,f1229,f1281,f1333]) ).
fof(f1369,definition,
( sQ64_spl
<=> sP0_prd ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f1372,plain,
( sQ63_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f135,f1369,f1333]) ).
fof(f1373,plain,
( ~ sQ63_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f136,f1369,f1333]) ).
fof(f1376,definition,
( sQ65_spl
<=> sP1_prd ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f1379,plain,
( sQ63_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f139,f1376,f1333]) ).
fof(f1381,plain,
( sQ3_spl
| ~ sQ12_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f141,f1376,f1168,f1138]) ).
fof(f1382,plain,
( sQ23_spl
| ~ sQ29_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f142,f1376,f1223,f1203]) ).
fof(f1383,plain,
( sQ43_spl
| ~ sQ46_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f143,f1376,f1278,f1268]) ).
fof(f1385,definition,
( sQ66_spl
<=> e0 = op(e1,op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f1386,plain,
( ~ sQ66_spl
| e0 = op(e1,op(e1,e1)) ),
inference(component_clause,[status(thm)],[f1385]) ).
fof(f1387,plain,
( sQ66_spl
| e0 != op(e1,op(e1,e1)) ),
inference(component_clause,[status(thm)],[f1385]) ).
fof(f1388,definition,
( sQ67_spl
<=> e3 = op(op(e1,op(e1,e1)),e1) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f1390,plain,
( sQ67_spl
| e3 != op(op(e1,op(e1,e1)),e1) ),
inference(component_clause,[status(thm)],[f1388]) ).
fof(f1391,plain,
( ~ sQ67_spl
| ~ sQ22_spl
| ~ sQ66_spl ),
inference(split_clause,[status(thm)],[f146,f1385,f1200,f1388]) ).
fof(f1392,definition,
( sQ68_spl
<=> e2 = op(op(e1,op(e1,e1)),e1) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f1394,plain,
( sQ68_spl
| e2 != op(op(e1,op(e1,e1)),e1) ),
inference(component_clause,[status(thm)],[f1392]) ).
fof(f1395,plain,
( ~ sQ68_spl
| ~ sQ23_spl
| ~ sQ66_spl ),
inference(split_clause,[status(thm)],[f148,f1385,f1203,f1392]) ).
fof(f1396,definition,
( sQ69_spl
<=> e0 = op(e2,op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f1398,plain,
( sQ69_spl
| e0 != op(e2,op(e2,e2)) ),
inference(component_clause,[status(thm)],[f1396]) ).
fof(f1399,definition,
( sQ70_spl
<=> e3 = op(op(e2,op(e2,e2)),e2) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f1401,plain,
( sQ70_spl
| e3 != op(op(e2,op(e2,e2)),e2) ),
inference(component_clause,[status(thm)],[f1399]) ).
fof(f1402,plain,
( ~ sQ70_spl
| ~ sQ41_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f150,f1396,f1262,f1399]) ).
fof(f1403,definition,
( sQ71_spl
<=> e1 = op(op(e2,op(e2,e2)),e2) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f1405,plain,
( sQ71_spl
| e1 != op(op(e2,op(e2,e2)),e2) ),
inference(component_clause,[status(thm)],[f1403]) ).
fof(f1406,plain,
( ~ sQ71_spl
| ~ sQ43_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f152,f1396,f1268,f1403]) ).
fof(f1407,definition,
( sQ72_spl
<=> e0 = op(e3,op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f1409,plain,
( sQ72_spl
| e0 != op(e3,op(e3,e3)) ),
inference(component_clause,[status(thm)],[f1407]) ).
fof(f1410,definition,
( sQ73_spl
<=> e2 = op(op(e3,op(e3,e3)),e3) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f1412,plain,
( sQ73_spl
| e2 != op(op(e3,op(e3,e3)),e3) ),
inference(component_clause,[status(thm)],[f1410]) ).
fof(f1413,plain,
( ~ sQ73_spl
| ~ sQ61_spl
| ~ sQ72_spl ),
inference(split_clause,[status(thm)],[f154,f1407,f1327,f1410]) ).
fof(f1414,definition,
( sQ74_spl
<=> e1 = op(op(e3,op(e3,e3)),e3) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f1416,plain,
( sQ74_spl
| e1 != op(op(e3,op(e3,e3)),e3) ),
inference(component_clause,[status(thm)],[f1414]) ).
fof(f1417,plain,
( ~ sQ74_spl
| ~ sQ62_spl
| ~ sQ72_spl ),
inference(split_clause,[status(thm)],[f156,f1407,f1330,f1414]) ).
fof(f1418,definition,
( sQ75_spl
<=> e1 = op(e0,op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f1420,plain,
( sQ75_spl
| e1 != op(e0,op(e0,e0)) ),
inference(component_clause,[status(thm)],[f1418]) ).
fof(f1421,definition,
( sQ76_spl
<=> e3 = op(op(e0,op(e0,e0)),e0) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f1423,plain,
( sQ76_spl
| e3 != op(op(e0,op(e0,e0)),e0) ),
inference(component_clause,[status(thm)],[f1421]) ).
fof(f1424,plain,
( ~ sQ76_spl
| ~ sQ2_spl
| ~ sQ75_spl ),
inference(split_clause,[status(thm)],[f158,f1418,f1135,f1421]) ).
fof(f1425,definition,
( sQ77_spl
<=> e2 = op(op(e0,op(e0,e0)),e0) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f1427,plain,
( sQ77_spl
| e2 != op(op(e0,op(e0,e0)),e0) ),
inference(component_clause,[status(thm)],[f1425]) ).
fof(f1428,plain,
( ~ sQ77_spl
| ~ sQ3_spl
| ~ sQ75_spl ),
inference(split_clause,[status(thm)],[f160,f1418,f1138,f1425]) ).
fof(f1429,definition,
( sQ78_spl
<=> e1 = op(e2,op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f1431,plain,
( sQ78_spl
| e1 != op(e2,op(e2,e2)) ),
inference(component_clause,[status(thm)],[f1429]) ).
fof(f1432,plain,
( ~ sQ70_spl
| ~ sQ40_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f162,f1429,f1259,f1399]) ).
fof(f1433,definition,
( sQ79_spl
<=> e0 = op(op(e2,op(e2,e2)),e2) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f1435,plain,
( sQ79_spl
| e0 != op(op(e2,op(e2,e2)),e2) ),
inference(component_clause,[status(thm)],[f1433]) ).
fof(f1436,plain,
( ~ sQ79_spl
| ~ sQ43_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f164,f1429,f1268,f1433]) ).
fof(f1437,definition,
( sQ80_spl
<=> e1 = op(e3,op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f1438,plain,
( ~ sQ80_spl
| e1 = op(e3,op(e3,e3)) ),
inference(component_clause,[status(thm)],[f1437]) ).
fof(f1439,plain,
( sQ80_spl
| e1 != op(e3,op(e3,e3)) ),
inference(component_clause,[status(thm)],[f1437]) ).
fof(f1440,plain,
( ~ sQ73_spl
| ~ sQ60_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f166,f1437,f1324,f1410]) ).
fof(f1441,definition,
( sQ81_spl
<=> e0 = op(op(e3,op(e3,e3)),e3) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f1443,plain,
( sQ81_spl
| e0 != op(op(e3,op(e3,e3)),e3) ),
inference(component_clause,[status(thm)],[f1441]) ).
fof(f1444,plain,
( ~ sQ81_spl
| ~ sQ62_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f168,f1437,f1330,f1441]) ).
fof(f1445,definition,
( sQ82_spl
<=> e2 = op(e0,op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f1447,plain,
( sQ82_spl
| e2 != op(e0,op(e0,e0)) ),
inference(component_clause,[status(thm)],[f1445]) ).
fof(f1448,plain,
( ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f170,f1445,f1132,f1421]) ).
fof(f1449,definition,
( sQ83_spl
<=> e1 = op(op(e0,op(e0,e0)),e0) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f1451,plain,
( sQ83_spl
| e1 != op(op(e0,op(e0,e0)),e0) ),
inference(component_clause,[status(thm)],[f1449]) ).
fof(f1452,plain,
( ~ sQ83_spl
| ~ sQ3_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f172,f1445,f1138,f1449]) ).
fof(f1453,definition,
( sQ84_spl
<=> e2 = op(e1,op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f1454,plain,
( ~ sQ84_spl
| e2 = op(e1,op(e1,e1)) ),
inference(component_clause,[status(thm)],[f1453]) ).
fof(f1455,plain,
( sQ84_spl
| e2 != op(e1,op(e1,e1)) ),
inference(component_clause,[status(thm)],[f1453]) ).
fof(f1456,plain,
( ~ sQ67_spl
| ~ sQ20_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f174,f1453,f1194,f1388]) ).
fof(f1457,definition,
( sQ85_spl
<=> e0 = op(op(e1,op(e1,e1)),e1) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f1459,plain,
( sQ85_spl
| e0 != op(op(e1,op(e1,e1)),e1) ),
inference(component_clause,[status(thm)],[f1457]) ).
fof(f1460,plain,
( ~ sQ85_spl
| ~ sQ23_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f176,f1453,f1203,f1457]) ).
fof(f1461,definition,
( sQ86_spl
<=> e2 = op(e3,op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f1463,plain,
( sQ86_spl
| e2 != op(e3,op(e3,e3)) ),
inference(component_clause,[status(thm)],[f1461]) ).
fof(f1464,plain,
( ~ sQ74_spl
| ~ sQ60_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f178,f1461,f1324,f1414]) ).
fof(f1465,plain,
( ~ sQ81_spl
| ~ sQ61_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f180,f1461,f1327,f1441]) ).
fof(f1466,definition,
( sQ87_spl
<=> e3 = op(e0,op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f1468,plain,
( sQ87_spl
| e3 != op(e0,op(e0,e0)) ),
inference(component_clause,[status(thm)],[f1466]) ).
fof(f1469,plain,
( ~ sQ77_spl
| ~ sQ1_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f182,f1466,f1132,f1425]) ).
fof(f1470,plain,
( ~ sQ83_spl
| ~ sQ2_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f184,f1466,f1135,f1449]) ).
fof(f1471,definition,
( sQ88_spl
<=> e3 = op(e1,op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f1473,plain,
( sQ88_spl
| e3 != op(e1,op(e1,e1)) ),
inference(component_clause,[status(thm)],[f1471]) ).
fof(f1474,plain,
( ~ sQ68_spl
| ~ sQ20_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f186,f1471,f1194,f1392]) ).
fof(f1475,plain,
( ~ sQ85_spl
| ~ sQ22_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f188,f1471,f1200,f1457]) ).
fof(f1476,definition,
( sQ89_spl
<=> e3 = op(e2,op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f1478,plain,
( sQ89_spl
| e3 != op(e2,op(e2,e2)) ),
inference(component_clause,[status(thm)],[f1476]) ).
fof(f1479,plain,
( ~ sQ71_spl
| ~ sQ40_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f190,f1476,f1259,f1403]) ).
fof(f1480,plain,
( ~ sQ79_spl
| ~ sQ41_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f192,f1476,f1262,f1433]) ).
fof(f1481,definition,
( sQ90_spl
<=> sP2_prd ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f1484,plain,
( sQ63_spl
| sQ90_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f196,f1369,f1481,f1333]) ).
fof(f1485,plain,
( ~ sQ63_spl
| sQ90_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f197,f1369,f1481,f1333]) ).
fof(f1486,plain,
( sQ43_spl
| sQ90_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f198,f1369,f1481,f1268]) ).
fof(f1487,plain,
( ~ sQ46_spl
| sQ90_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f199,f1369,f1481,f1278]) ).
fof(f1488,plain,
( ~ sQ90_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f200,f1369,f1481]) ).
fof(f1490,definition,
( sQ91_spl
<=> sP3_prd ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f1493,plain,
( sQ59_spl
| sQ91_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f208,f1376,f1490,f1320]) ).
fof(f1494,plain,
( sQ47_spl
| sQ91_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f209,f1376,f1490,f1281]) ).
fof(f1495,definition,
( sQ92_spl
<=> sP4_prd ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f1498,plain,
( sQ92_spl
| sQ91_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f210,f1376,f1490,f1495]) ).
fof(f1499,definition,
( sQ93_spl
<=> sP5_prd ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f1502,plain,
( sQ93_spl
| sQ91_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f211,f1376,f1490,f1499]) ).
fof(f1504,plain,
( sQ62_spl
| ~ sQ59_spl
| sQ91_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f213,f1376,f1490,f1320,f1330]) ).
fof(f1505,plain,
( ~ sQ91_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f214,f1376,f1490]) ).
fof(f1510,definition,
( sQ94_spl
<=> sP6_prd ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f1513,plain,
( sQ63_spl
| sQ94_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f222,f1481,f1510,f1333]) ).
fof(f1514,plain,
( ~ sQ63_spl
| sQ94_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f223,f1481,f1510,f1333]) ).
fof(f1515,plain,
( sQ23_spl
| sQ94_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f224,f1481,f1510,f1203]) ).
fof(f1516,plain,
( ~ sQ29_spl
| sQ94_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f225,f1481,f1510,f1223]) ).
fof(f1517,plain,
( ~ sQ94_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f226,f1481,f1510]) ).
fof(f1519,definition,
( sQ95_spl
<=> sP7_prd ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f1522,plain,
( sQ55_spl
| sQ95_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f234,f1490,f1519,f1307]) ).
fof(f1523,plain,
( sQ31_spl
| sQ95_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f235,f1490,f1519,f1229]) ).
fof(f1524,definition,
( sQ96_spl
<=> sP8_prd ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f1527,plain,
( sQ96_spl
| sQ95_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f236,f1490,f1519,f1524]) ).
fof(f1528,definition,
( sQ97_spl
<=> sP9_prd ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f1531,plain,
( sQ97_spl
| sQ95_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f237,f1490,f1519,f1528]) ).
fof(f1532,plain,
( sQ41_spl
| ~ sQ38_spl
| sQ95_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f238,f1490,f1519,f1252,f1262]) ).
fof(f1533,plain,
( sQ61_spl
| ~ sQ55_spl
| sQ95_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f239,f1490,f1519,f1307,f1327]) ).
fof(f1534,plain,
( ~ sQ95_spl
| sQ91_spl ),
inference(split_clause,[status(thm)],[f240,f1490,f1519]) ).
fof(f1539,plain,
( sQ2_spl
| ~ sQ8_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f246,f1495,f1155,f1135]) ).
fof(f1540,plain,
( sQ8_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f247,f1495,f1155]) ).
fof(f1541,plain,
( ~ sQ2_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f248,f1495,f1135]) ).
fof(f1542,plain,
( sQ22_spl
| ~ sQ25_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f250,f1499,f1210,f1200]) ).
fof(f1543,plain,
( sQ25_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f251,f1499,f1210]) ).
fof(f1544,plain,
( ~ sQ22_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f252,f1499,f1200]) ).
fof(f1545,definition,
( sQ98_spl
<=> sP10_prd ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f1548,plain,
( sQ63_spl
| sQ98_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f256,f1510,f1545,f1333]) ).
fof(f1549,plain,
( ~ sQ63_spl
| sQ98_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f257,f1510,f1545,f1333]) ).
fof(f1550,plain,
( sQ3_spl
| sQ98_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f258,f1510,f1545,f1138]) ).
fof(f1551,plain,
( ~ sQ12_spl
| sQ98_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f259,f1510,f1545,f1168]) ).
fof(f1552,plain,
( ~ sQ98_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f260,f1510,f1545]) ).
fof(f1554,definition,
( sQ99_spl
<=> sP11_prd ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f1557,plain,
( sQ51_spl
| sQ99_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f268,f1519,f1554,f1294]) ).
fof(f1558,plain,
( sQ15_spl
| sQ99_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f269,f1519,f1554,f1177]) ).
fof(f1559,definition,
( sQ100_spl
<=> sP12_prd ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f1562,plain,
( sQ100_spl
| sQ99_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f270,f1519,f1554,f1559]) ).
fof(f1563,definition,
( sQ101_spl
<=> sP13_prd ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f1566,plain,
( sQ101_spl
| sQ99_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f271,f1519,f1554,f1563]) ).
fof(f1567,plain,
( sQ40_spl
| ~ sQ34_spl
| sQ99_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f272,f1519,f1554,f1239,f1259]) ).
fof(f1568,plain,
( sQ60_spl
| ~ sQ51_spl
| sQ99_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f273,f1519,f1554,f1294,f1324]) ).
fof(f1569,plain,
( ~ sQ99_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f274,f1519,f1554]) ).
fof(f1574,plain,
( sQ1_spl
| ~ sQ4_spl
| ~ sQ96_spl ),
inference(split_clause,[status(thm)],[f280,f1524,f1142,f1132]) ).
fof(f1575,plain,
( sQ4_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f281,f1524,f1142]) ).
fof(f1576,plain,
( ~ sQ1_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f282,f1524,f1132]) ).
fof(f1578,plain,
( sQ21_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f285,f1528,f1197]) ).
fof(f1579,plain,
( ~ sQ21_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f286,f1528,f1197]) ).
fof(f1580,definition,
( sQ102_spl
<=> sP14_prd ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f1583,plain,
( sQ59_spl
| sQ102_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f290,f1545,f1580,f1320]) ).
fof(f1584,plain,
( ~ sQ62_spl
| sQ102_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f291,f1545,f1580,f1330]) ).
fof(f1585,plain,
( sQ62_spl
| sQ102_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f292,f1545,f1580,f1330]) ).
fof(f1586,plain,
( ~ sQ59_spl
| sQ102_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f293,f1545,f1580,f1320]) ).
fof(f1587,plain,
( ~ sQ102_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f294,f1545,f1580]) ).
fof(f1589,definition,
( sQ103_spl
<=> sP15_prd ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f1592,plain,
( sQ46_spl
| sQ103_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f302,f1554,f1589,f1278]) ).
fof(f1593,plain,
( sQ58_spl
| sQ103_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f303,f1554,f1589,f1317]) ).
fof(f1594,definition,
( sQ104_spl
<=> sP16_prd ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f1597,plain,
( sQ104_spl
| sQ103_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f304,f1554,f1589,f1594]) ).
fof(f1598,definition,
( sQ105_spl
<=> sP17_prd ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f1601,plain,
( sQ105_spl
| sQ103_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f305,f1554,f1589,f1598]) ).
fof(f1602,plain,
( sQ43_spl
| ~ sQ46_spl
| sQ103_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f306,f1554,f1589,f1278,f1268]) ).
fof(f1604,plain,
( ~ sQ103_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f308,f1554,f1589]) ).
fof(f1607,plain,
( sQ63_spl
| ~ sQ43_spl
| ~ sQ105_spl
| ~ sQ104_spl
| ~ sQ58_spl
| ~ sQ46_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f311,f1554,f1278,f1317,f1594,f1598,f1268,f1333]) ).
fof(f1608,plain,
( ~ sQ63_spl
| ~ sQ43_spl
| ~ sQ105_spl
| ~ sQ104_spl
| ~ sQ58_spl
| ~ sQ46_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f312,f1554,f1278,f1317,f1594,f1598,f1268,f1333]) ).
fof(f1610,plain,
( sQ0_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f315,f1559,f1129]) ).
fof(f1611,plain,
( ~ sQ0_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f316,f1559,f1129]) ).
fof(f1612,plain,
( sQ20_spl
| ~ sQ17_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f318,f1563,f1184,f1194]) ).
fof(f1613,plain,
( sQ17_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f319,f1563,f1184]) ).
fof(f1614,plain,
( ~ sQ20_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f320,f1563,f1194]) ).
fof(f1615,definition,
( sQ106_spl
<=> sP18_prd ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f1618,plain,
( sQ59_spl
| sQ106_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f324,f1580,f1615,f1320]) ).
fof(f1619,plain,
( ~ sQ62_spl
| sQ106_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f325,f1580,f1615,f1330]) ).
fof(f1620,plain,
( sQ42_spl
| sQ106_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f326,f1580,f1615,f1265]) ).
fof(f1621,plain,
( ~ sQ42_spl
| sQ106_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f327,f1580,f1615,f1265]) ).
fof(f1622,plain,
( ~ sQ106_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f328,f1580,f1615]) ).
fof(f1624,definition,
( sQ107_spl
<=> sP19_prd ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f1627,plain,
( sQ42_spl
| sQ107_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f336,f1589,f1624,f1265]) ).
fof(f1629,definition,
( sQ108_spl
<=> sP20_prd ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f1632,plain,
( sQ108_spl
| sQ107_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f338,f1589,f1624,f1629]) ).
fof(f1633,definition,
( sQ109_spl
<=> sP21_prd ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f1636,plain,
( sQ109_spl
| sQ107_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f339,f1589,f1624,f1633]) ).
fof(f1638,plain,
( sQ62_spl
| ~ sQ59_spl
| sQ107_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f341,f1589,f1624,f1320,f1330]) ).
fof(f1639,plain,
( ~ sQ107_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f342,f1589,f1624]) ).
fof(f1642,plain,
( sQ59_spl
| ~ sQ109_spl
| ~ sQ108_spl
| ~ sQ42_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f345,f1589,f1265,f1629,f1633,f1320]) ).
fof(f1643,plain,
( ~ sQ62_spl
| ~ sQ109_spl
| ~ sQ108_spl
| ~ sQ42_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f346,f1589,f1265,f1629,f1633,f1330]) ).
fof(f1644,plain,
( sQ3_spl
| ~ sQ12_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f348,f1594,f1168,f1138]) ).
fof(f1645,plain,
( sQ12_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f349,f1594,f1168]) ).
fof(f1646,plain,
( ~ sQ3_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f350,f1594,f1138]) ).
fof(f1647,plain,
( sQ23_spl
| ~ sQ29_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f352,f1598,f1223,f1203]) ).
fof(f1648,plain,
( sQ29_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f353,f1598,f1223]) ).
fof(f1649,plain,
( ~ sQ23_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f354,f1598,f1203]) ).
fof(f1650,definition,
( sQ110_spl
<=> sP22_prd ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f1653,plain,
( sQ59_spl
| sQ110_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f358,f1615,f1650,f1320]) ).
fof(f1654,plain,
( ~ sQ62_spl
| sQ110_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f359,f1615,f1650,f1330]) ).
fof(f1655,plain,
( sQ22_spl
| sQ110_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f360,f1615,f1650,f1200]) ).
fof(f1656,plain,
( ~ sQ25_spl
| sQ110_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f361,f1615,f1650,f1210]) ).
fof(f1657,plain,
( ~ sQ110_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f362,f1615,f1650]) ).
fof(f1659,definition,
( sQ111_spl
<=> sP23_prd ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f1662,plain,
( sQ38_spl
| sQ111_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f370,f1624,f1659,f1252]) ).
fof(f1663,plain,
( sQ26_spl
| sQ111_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f371,f1624,f1659,f1213]) ).
fof(f1664,definition,
( sQ112_spl
<=> sP24_prd ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f1667,plain,
( sQ112_spl
| sQ111_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f372,f1624,f1659,f1664]) ).
fof(f1668,definition,
( sQ113_spl
<=> sP25_prd ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f1672,plain,
( sQ41_spl
| ~ sQ38_spl
| sQ111_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f374,f1624,f1659,f1252,f1262]) ).
fof(f1673,plain,
( sQ61_spl
| ~ sQ55_spl
| sQ111_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f375,f1624,f1659,f1307,f1327]) ).
fof(f1674,plain,
( ~ sQ111_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f376,f1624,f1659]) ).
fof(f1679,plain,
( sQ2_spl
| ~ sQ8_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f382,f1629,f1155,f1135]) ).
fof(f1680,plain,
( sQ8_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f383,f1629,f1155]) ).
fof(f1681,plain,
( ~ sQ2_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f384,f1629,f1135]) ).
fof(f1682,plain,
( sQ22_spl
| ~ sQ25_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f386,f1633,f1210,f1200]) ).
fof(f1683,plain,
( sQ25_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f387,f1633,f1210]) ).
fof(f1684,plain,
( ~ sQ22_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f388,f1633,f1200]) ).
fof(f1685,definition,
( sQ114_spl
<=> sP26_prd ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f1688,plain,
( sQ59_spl
| sQ114_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f392,f1650,f1685,f1320]) ).
fof(f1689,plain,
( ~ sQ62_spl
| sQ114_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f393,f1650,f1685,f1330]) ).
fof(f1690,plain,
( sQ2_spl
| sQ114_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f394,f1650,f1685,f1135]) ).
fof(f1691,plain,
( ~ sQ8_spl
| sQ114_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f395,f1650,f1685,f1155]) ).
fof(f1692,plain,
( ~ sQ114_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f396,f1650,f1685]) ).
fof(f1694,definition,
( sQ115_spl
<=> sP27_prd ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f1697,plain,
( sQ34_spl
| sQ115_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f404,f1659,f1694,f1239]) ).
fof(f1698,plain,
( sQ10_spl
| sQ115_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f405,f1659,f1694,f1161]) ).
fof(f1699,definition,
( sQ116_spl
<=> sP28_prd ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f1703,definition,
( sQ117_spl
<=> sP29_prd ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f1706,plain,
( sQ117_spl
| sQ115_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f407,f1659,f1694,f1703]) ).
fof(f1707,plain,
( sQ40_spl
| ~ sQ34_spl
| sQ115_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f408,f1659,f1694,f1239,f1259]) ).
fof(f1708,plain,
( sQ60_spl
| ~ sQ51_spl
| sQ115_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f409,f1659,f1694,f1294,f1324]) ).
fof(f1709,plain,
( ~ sQ115_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f410,f1659,f1694]) ).
fof(f1714,plain,
( sQ1_spl
| ~ sQ4_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f416,f1664,f1142,f1132]) ).
fof(f1715,plain,
( sQ4_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f417,f1664,f1142]) ).
fof(f1716,plain,
( ~ sQ1_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f418,f1664,f1132]) ).
fof(f1718,plain,
( sQ21_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f421,f1668,f1197]) ).
fof(f1719,plain,
( ~ sQ21_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f422,f1668,f1197]) ).
fof(f1720,definition,
( sQ118_spl
<=> sP30_prd ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f1723,plain,
( sQ55_spl
| sQ118_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f426,f1685,f1720,f1307]) ).
fof(f1724,plain,
( ~ sQ61_spl
| sQ118_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f427,f1685,f1720,f1327]) ).
fof(f1725,plain,
( sQ61_spl
| sQ118_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f428,f1685,f1720,f1327]) ).
fof(f1726,plain,
( ~ sQ55_spl
| sQ118_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f429,f1685,f1720,f1307]) ).
fof(f1727,plain,
( ~ sQ118_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f430,f1685,f1720]) ).
fof(f1729,definition,
( sQ119_spl
<=> sP31_prd ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f1732,plain,
( sQ29_spl
| sQ119_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f438,f1694,f1729,f1223]) ).
fof(f1733,plain,
( sQ53_spl
| sQ119_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f439,f1694,f1729,f1301]) ).
fof(f1734,definition,
( sQ120_spl
<=> sP32_prd ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f1737,plain,
( sQ120_spl
| sQ119_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f440,f1694,f1729,f1734]) ).
fof(f1738,definition,
( sQ121_spl
<=> sP33_prd ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f1741,plain,
( sQ121_spl
| sQ119_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f441,f1694,f1729,f1738]) ).
fof(f1742,plain,
( sQ43_spl
| ~ sQ46_spl
| sQ119_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f442,f1694,f1729,f1278,f1268]) ).
fof(f1744,plain,
( ~ sQ119_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f444,f1694,f1729]) ).
fof(f1745,plain,
( sQ63_spl
| sQ46_spl
| ~ sQ121_spl
| ~ sQ120_spl
| ~ sQ53_spl
| ~ sQ29_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f445,f1694,f1223,f1301,f1734,f1738,f1278,f1333]) ).
fof(f1746,plain,
( ~ sQ63_spl
| sQ46_spl
| ~ sQ121_spl
| ~ sQ120_spl
| ~ sQ53_spl
| ~ sQ29_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f446,f1694,f1223,f1301,f1734,f1738,f1278,f1333]) ).
fof(f1747,plain,
( sQ63_spl
| ~ sQ43_spl
| ~ sQ121_spl
| ~ sQ120_spl
| ~ sQ53_spl
| ~ sQ29_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f447,f1694,f1223,f1301,f1734,f1738,f1268,f1333]) ).
fof(f1748,plain,
( ~ sQ63_spl
| ~ sQ43_spl
| ~ sQ121_spl
| ~ sQ120_spl
| ~ sQ53_spl
| ~ sQ29_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f448,f1694,f1223,f1301,f1734,f1738,f1268,f1333]) ).
fof(f1750,plain,
( sQ0_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f451,f1699,f1129]) ).
fof(f1751,plain,
( ~ sQ0_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f452,f1699,f1129]) ).
fof(f1752,plain,
( sQ20_spl
| ~ sQ17_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f454,f1703,f1184,f1194]) ).
fof(f1753,plain,
( sQ17_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f455,f1703,f1184]) ).
fof(f1754,plain,
( ~ sQ20_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f456,f1703,f1194]) ).
fof(f1755,definition,
( sQ122_spl
<=> sP34_prd ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f1758,plain,
( sQ55_spl
| sQ122_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f460,f1720,f1755,f1307]) ).
fof(f1759,plain,
( ~ sQ61_spl
| sQ122_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f461,f1720,f1755,f1327]) ).
fof(f1760,plain,
( sQ41_spl
| sQ122_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f462,f1720,f1755,f1262]) ).
fof(f1761,plain,
( ~ sQ38_spl
| sQ122_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f463,f1720,f1755,f1252]) ).
fof(f1762,plain,
( ~ sQ122_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f464,f1720,f1755]) ).
fof(f1764,definition,
( sQ123_spl
<=> sP35_prd ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f1767,plain,
( sQ25_spl
| sQ123_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f472,f1729,f1764,f1210]) ).
fof(f1768,plain,
( sQ37_spl
| sQ123_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f473,f1729,f1764,f1249]) ).
fof(f1769,definition,
( sQ124_spl
<=> sP36_prd ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f1772,plain,
( sQ124_spl
| sQ123_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f474,f1729,f1764,f1769]) ).
fof(f1773,definition,
( sQ125_spl
<=> sP37_prd ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f1776,plain,
( sQ125_spl
| sQ123_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f475,f1729,f1764,f1773]) ).
fof(f1778,plain,
( sQ62_spl
| ~ sQ59_spl
| sQ123_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f477,f1729,f1764,f1320,f1330]) ).
fof(f1779,plain,
( ~ sQ123_spl
| sQ119_spl ),
inference(split_clause,[status(thm)],[f478,f1729,f1764]) ).
fof(f1780,plain,
( sQ59_spl
| sQ42_spl
| ~ sQ125_spl
| ~ sQ124_spl
| ~ sQ37_spl
| ~ sQ25_spl
| sQ119_spl ),
inference(split_clause,[status(thm)],[f479,f1729,f1210,f1249,f1769,f1773,f1265,f1320]) ).
fof(f1784,plain,
( sQ3_spl
| ~ sQ12_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f484,f1734,f1168,f1138]) ).
fof(f1785,plain,
( sQ12_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f485,f1734,f1168]) ).
fof(f1786,plain,
( ~ sQ3_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f486,f1734,f1138]) ).
fof(f1787,plain,
( sQ23_spl
| ~ sQ29_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f488,f1738,f1223,f1203]) ).
fof(f1788,plain,
( sQ29_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f489,f1738,f1223]) ).
fof(f1789,plain,
( ~ sQ23_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f490,f1738,f1203]) ).
fof(f1790,definition,
( sQ126_spl
<=> sP38_prd ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f1793,plain,
( sQ55_spl
| sQ126_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f494,f1755,f1790,f1307]) ).
fof(f1794,plain,
( ~ sQ61_spl
| sQ126_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f495,f1755,f1790,f1327]) ).
fof(f1795,plain,
( sQ21_spl
| sQ126_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f496,f1755,f1790,f1197]) ).
fof(f1796,plain,
( ~ sQ21_spl
| sQ126_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f497,f1755,f1790,f1197]) ).
fof(f1797,plain,
( ~ sQ126_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f498,f1755,f1790]) ).
fof(f1799,definition,
( sQ127_spl
<=> sP39_prd ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f1802,plain,
( sQ21_spl
| sQ127_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f506,f1764,f1799,f1197]) ).
fof(f1804,definition,
( sQ128_spl
<=> sP40_prd ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f1807,plain,
( sQ128_spl
| sQ127_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f508,f1764,f1799,f1804]) ).
fof(f1808,definition,
( sQ129_spl
<=> sP41_prd ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f1812,plain,
( sQ41_spl
| ~ sQ38_spl
| sQ127_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f510,f1764,f1799,f1252,f1262]) ).
fof(f1813,plain,
( sQ61_spl
| ~ sQ55_spl
| sQ127_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f511,f1764,f1799,f1307,f1327]) ).
fof(f1814,plain,
( ~ sQ127_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f512,f1764,f1799]) ).
fof(f1815,plain,
( sQ55_spl
| sQ38_spl
| ~ sQ129_spl
| ~ sQ128_spl
| ~ sQ21_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f513,f1764,f1197,f1804,f1808,f1252,f1307]) ).
fof(f1816,plain,
( ~ sQ61_spl
| sQ38_spl
| ~ sQ129_spl
| ~ sQ128_spl
| ~ sQ21_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f514,f1764,f1197,f1804,f1808,f1252,f1327]) ).
fof(f1817,plain,
( sQ55_spl
| ~ sQ41_spl
| ~ sQ129_spl
| ~ sQ128_spl
| ~ sQ21_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f515,f1764,f1197,f1804,f1808,f1262,f1307]) ).
fof(f1818,plain,
( ~ sQ61_spl
| ~ sQ41_spl
| ~ sQ129_spl
| ~ sQ128_spl
| ~ sQ21_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f516,f1764,f1197,f1804,f1808,f1262,f1327]) ).
fof(f1819,plain,
( sQ2_spl
| ~ sQ8_spl
| ~ sQ124_spl ),
inference(split_clause,[status(thm)],[f518,f1769,f1155,f1135]) ).
fof(f1820,plain,
( sQ8_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f519,f1769,f1155]) ).
fof(f1821,plain,
( ~ sQ2_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f520,f1769,f1135]) ).
fof(f1822,plain,
( sQ22_spl
| ~ sQ25_spl
| ~ sQ125_spl ),
inference(split_clause,[status(thm)],[f522,f1773,f1210,f1200]) ).
fof(f1823,plain,
( sQ25_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f523,f1773,f1210]) ).
fof(f1824,plain,
( ~ sQ22_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f524,f1773,f1200]) ).
fof(f1825,definition,
( sQ130_spl
<=> sP42_prd ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f1828,plain,
( sQ55_spl
| sQ130_spl
| ~ sQ126_spl ),
inference(split_clause,[status(thm)],[f528,f1790,f1825,f1307]) ).
fof(f1829,plain,
( ~ sQ61_spl
| sQ130_spl
| ~ sQ126_spl ),
inference(split_clause,[status(thm)],[f529,f1790,f1825,f1327]) ).
fof(f1830,plain,
( sQ1_spl
| sQ130_spl
| ~ sQ126_spl ),
inference(split_clause,[status(thm)],[f530,f1790,f1825,f1132]) ).
fof(f1831,plain,
( ~ sQ4_spl
| sQ130_spl
| ~ sQ126_spl ),
inference(split_clause,[status(thm)],[f531,f1790,f1825,f1142]) ).
fof(f1832,plain,
( ~ sQ130_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f532,f1790,f1825]) ).
fof(f1834,definition,
( sQ131_spl
<=> sP43_prd ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f1837,plain,
( sQ17_spl
| sQ131_spl
| ~ sQ127_spl ),
inference(split_clause,[status(thm)],[f540,f1799,f1834,f1184]) ).
fof(f1838,plain,
( sQ5_spl
| sQ131_spl
| ~ sQ127_spl ),
inference(split_clause,[status(thm)],[f541,f1799,f1834,f1145]) ).
fof(f1839,definition,
( sQ132_spl
<=> sP44_prd ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f1843,definition,
( sQ133_spl
<=> sP45_prd ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f1846,plain,
( sQ133_spl
| sQ131_spl
| ~ sQ127_spl ),
inference(split_clause,[status(thm)],[f543,f1799,f1834,f1843]) ).
fof(f1847,plain,
( sQ40_spl
| ~ sQ34_spl
| sQ131_spl
| ~ sQ127_spl ),
inference(split_clause,[status(thm)],[f544,f1799,f1834,f1239,f1259]) ).
fof(f1848,plain,
( sQ60_spl
| ~ sQ51_spl
| sQ131_spl
| ~ sQ127_spl ),
inference(split_clause,[status(thm)],[f545,f1799,f1834,f1294,f1324]) ).
fof(f1849,plain,
( ~ sQ131_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f546,f1799,f1834]) ).
fof(f1850,plain,
( sQ51_spl
| sQ34_spl
| ~ sQ133_spl
| ~ sQ132_spl
| ~ sQ5_spl
| ~ sQ17_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f547,f1799,f1184,f1145,f1839,f1843,f1239,f1294]) ).
fof(f1854,plain,
( sQ1_spl
| ~ sQ4_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f552,f1804,f1142,f1132]) ).
fof(f1855,plain,
( sQ4_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f553,f1804,f1142]) ).
fof(f1856,plain,
( ~ sQ1_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f554,f1804,f1132]) ).
fof(f1858,plain,
( sQ21_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f557,f1808,f1197]) ).
fof(f1859,plain,
( ~ sQ21_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f558,f1808,f1197]) ).
fof(f1860,definition,
( sQ134_spl
<=> sP46_prd ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f1863,plain,
( sQ51_spl
| sQ134_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f562,f1825,f1860,f1294]) ).
fof(f1864,plain,
( ~ sQ60_spl
| sQ134_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f563,f1825,f1860,f1324]) ).
fof(f1865,plain,
( sQ60_spl
| sQ134_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f564,f1825,f1860,f1324]) ).
fof(f1866,plain,
( ~ sQ51_spl
| sQ134_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f565,f1825,f1860,f1294]) ).
fof(f1867,plain,
( ~ sQ134_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f566,f1825,f1860]) ).
fof(f1869,definition,
( sQ135_spl
<=> sP47_prd ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f1872,plain,
( sQ12_spl
| sQ135_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f574,f1834,f1869,f1168]) ).
fof(f1873,plain,
( sQ48_spl
| sQ135_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f575,f1834,f1869,f1285]) ).
fof(f1874,definition,
( sQ136_spl
<=> sP48_prd ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f1877,plain,
( sQ136_spl
| sQ135_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f576,f1834,f1869,f1874]) ).
fof(f1878,definition,
( sQ137_spl
<=> sP49_prd ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f1881,plain,
( sQ137_spl
| sQ135_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f577,f1834,f1869,f1878]) ).
fof(f1882,plain,
( sQ43_spl
| ~ sQ46_spl
| sQ135_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f578,f1834,f1869,f1278,f1268]) ).
fof(f1884,plain,
( ~ sQ135_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f580,f1834,f1869]) ).
fof(f1886,plain,
( ~ sQ63_spl
| sQ46_spl
| ~ sQ137_spl
| ~ sQ136_spl
| ~ sQ48_spl
| ~ sQ12_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f582,f1834,f1168,f1285,f1874,f1878,f1278,f1333]) ).
fof(f1890,plain,
( sQ0_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f587,f1839,f1129]) ).
fof(f1891,plain,
( ~ sQ0_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f588,f1839,f1129]) ).
fof(f1892,plain,
( sQ20_spl
| ~ sQ17_spl
| ~ sQ133_spl ),
inference(split_clause,[status(thm)],[f590,f1843,f1184,f1194]) ).
fof(f1893,plain,
( sQ17_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f591,f1843,f1184]) ).
fof(f1894,plain,
( ~ sQ20_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f592,f1843,f1194]) ).
fof(f1895,definition,
( sQ138_spl
<=> sP50_prd ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f1898,plain,
( sQ51_spl
| sQ138_spl
| ~ sQ134_spl ),
inference(split_clause,[status(thm)],[f596,f1860,f1895,f1294]) ).
fof(f1899,plain,
( ~ sQ60_spl
| sQ138_spl
| ~ sQ134_spl ),
inference(split_clause,[status(thm)],[f597,f1860,f1895,f1324]) ).
fof(f1900,plain,
( sQ40_spl
| sQ138_spl
| ~ sQ134_spl ),
inference(split_clause,[status(thm)],[f598,f1860,f1895,f1259]) ).
fof(f1901,plain,
( ~ sQ34_spl
| sQ138_spl
| ~ sQ134_spl ),
inference(split_clause,[status(thm)],[f599,f1860,f1895,f1239]) ).
fof(f1902,plain,
( ~ sQ138_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f600,f1860,f1895]) ).
fof(f1904,definition,
( sQ139_spl
<=> sP51_prd ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f1907,plain,
( sQ8_spl
| sQ139_spl
| ~ sQ135_spl ),
inference(split_clause,[status(thm)],[f608,f1869,f1904,f1155]) ).
fof(f1908,plain,
( sQ32_spl
| sQ139_spl
| ~ sQ135_spl ),
inference(split_clause,[status(thm)],[f609,f1869,f1904,f1233]) ).
fof(f1909,definition,
( sQ140_spl
<=> sP52_prd ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f1912,plain,
( sQ140_spl
| sQ139_spl
| ~ sQ135_spl ),
inference(split_clause,[status(thm)],[f610,f1869,f1904,f1909]) ).
fof(f1913,definition,
( sQ141_spl
<=> sP53_prd ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f1916,plain,
( sQ141_spl
| sQ139_spl
| ~ sQ135_spl ),
inference(split_clause,[status(thm)],[f611,f1869,f1904,f1913]) ).
fof(f1918,plain,
( sQ62_spl
| ~ sQ59_spl
| sQ139_spl
| ~ sQ135_spl ),
inference(split_clause,[status(thm)],[f613,f1869,f1904,f1320,f1330]) ).
fof(f1919,plain,
( ~ sQ139_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f614,f1869,f1904]) ).
fof(f1920,plain,
( sQ59_spl
| sQ42_spl
| ~ sQ141_spl
| ~ sQ140_spl
| ~ sQ32_spl
| ~ sQ8_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f615,f1869,f1155,f1233,f1909,f1913,f1265,f1320]) ).
fof(f1921,plain,
( ~ sQ62_spl
| sQ42_spl
| ~ sQ141_spl
| ~ sQ140_spl
| ~ sQ32_spl
| ~ sQ8_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f616,f1869,f1155,f1233,f1909,f1913,f1265,f1330]) ).
fof(f1923,plain,
( ~ sQ62_spl
| ~ sQ42_spl
| ~ sQ141_spl
| ~ sQ140_spl
| ~ sQ32_spl
| ~ sQ8_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f618,f1869,f1155,f1233,f1909,f1913,f1265,f1330]) ).
fof(f1924,plain,
( sQ3_spl
| ~ sQ12_spl
| ~ sQ136_spl ),
inference(split_clause,[status(thm)],[f620,f1874,f1168,f1138]) ).
fof(f1925,plain,
( sQ12_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f621,f1874,f1168]) ).
fof(f1926,plain,
( ~ sQ3_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f622,f1874,f1138]) ).
fof(f1927,plain,
( sQ23_spl
| ~ sQ29_spl
| ~ sQ137_spl ),
inference(split_clause,[status(thm)],[f624,f1878,f1223,f1203]) ).
fof(f1928,plain,
( sQ29_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f625,f1878,f1223]) ).
fof(f1929,plain,
( ~ sQ23_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f626,f1878,f1203]) ).
fof(f1930,definition,
( sQ142_spl
<=> sP54_prd ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f1933,plain,
( sQ51_spl
| sQ142_spl
| ~ sQ138_spl ),
inference(split_clause,[status(thm)],[f630,f1895,f1930,f1294]) ).
fof(f1934,plain,
( ~ sQ60_spl
| sQ142_spl
| ~ sQ138_spl ),
inference(split_clause,[status(thm)],[f631,f1895,f1930,f1324]) ).
fof(f1935,plain,
( sQ20_spl
| sQ142_spl
| ~ sQ138_spl ),
inference(split_clause,[status(thm)],[f632,f1895,f1930,f1194]) ).
fof(f1936,plain,
( ~ sQ17_spl
| sQ142_spl
| ~ sQ138_spl ),
inference(split_clause,[status(thm)],[f633,f1895,f1930,f1184]) ).
fof(f1937,plain,
( ~ sQ142_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f634,f1895,f1930]) ).
fof(f1939,definition,
( sQ143_spl
<=> sP55_prd ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f1942,plain,
( sQ4_spl
| sQ143_spl
| ~ sQ139_spl ),
inference(split_clause,[status(thm)],[f642,f1904,f1939,f1142]) ).
fof(f1943,plain,
( sQ16_spl
| sQ143_spl
| ~ sQ139_spl ),
inference(split_clause,[status(thm)],[f643,f1904,f1939,f1181]) ).
fof(f1944,definition,
( sQ144_spl
<=> sP56_prd ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f1947,plain,
( sQ144_spl
| sQ143_spl
| ~ sQ139_spl ),
inference(split_clause,[status(thm)],[f644,f1904,f1939,f1944]) ).
fof(f1948,definition,
( sQ145_spl
<=> sP57_prd ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f1951,plain,
( sQ145_spl
| sQ143_spl
| ~ sQ139_spl ),
inference(split_clause,[status(thm)],[f645,f1904,f1939,f1948]) ).
fof(f1952,plain,
( sQ41_spl
| ~ sQ38_spl
| sQ143_spl
| ~ sQ139_spl ),
inference(split_clause,[status(thm)],[f646,f1904,f1939,f1252,f1262]) ).
fof(f1953,plain,
( sQ61_spl
| ~ sQ55_spl
| sQ143_spl
| ~ sQ139_spl ),
inference(split_clause,[status(thm)],[f647,f1904,f1939,f1307,f1327]) ).
fof(f1954,plain,
( ~ sQ143_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f648,f1904,f1939]) ).
fof(f1955,plain,
( sQ55_spl
| sQ38_spl
| ~ sQ145_spl
| ~ sQ144_spl
| ~ sQ16_spl
| ~ sQ4_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f649,f1904,f1142,f1181,f1944,f1948,f1252,f1307]) ).
fof(f1957,plain,
( sQ55_spl
| ~ sQ41_spl
| ~ sQ145_spl
| ~ sQ144_spl
| ~ sQ16_spl
| ~ sQ4_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f651,f1904,f1142,f1181,f1944,f1948,f1262,f1307]) ).
fof(f1959,plain,
( sQ2_spl
| ~ sQ8_spl
| ~ sQ140_spl ),
inference(split_clause,[status(thm)],[f654,f1909,f1155,f1135]) ).
fof(f1960,plain,
( sQ8_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f655,f1909,f1155]) ).
fof(f1961,plain,
( ~ sQ2_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f656,f1909,f1135]) ).
fof(f1962,plain,
( sQ22_spl
| ~ sQ25_spl
| ~ sQ141_spl ),
inference(split_clause,[status(thm)],[f658,f1913,f1210,f1200]) ).
fof(f1963,plain,
( sQ25_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f659,f1913,f1210]) ).
fof(f1964,plain,
( ~ sQ22_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f660,f1913,f1200]) ).
fof(f1965,definition,
( sQ146_spl
<=> sP58_prd ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f1968,plain,
( sQ51_spl
| sQ146_spl
| ~ sQ142_spl ),
inference(split_clause,[status(thm)],[f664,f1930,f1965,f1294]) ).
fof(f1969,plain,
( ~ sQ60_spl
| sQ146_spl
| ~ sQ142_spl ),
inference(split_clause,[status(thm)],[f665,f1930,f1965,f1324]) ).
fof(f1970,plain,
( sQ0_spl
| sQ146_spl
| ~ sQ142_spl ),
inference(split_clause,[status(thm)],[f666,f1930,f1965,f1129]) ).
fof(f1971,plain,
( ~ sQ0_spl
| sQ146_spl
| ~ sQ142_spl ),
inference(split_clause,[status(thm)],[f667,f1930,f1965,f1129]) ).
fof(f1972,plain,
( ~ sQ146_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f668,f1930,f1965]) ).
fof(f1974,plain,
( sQ0_spl
| ~ sQ143_spl ),
inference(split_clause,[status(thm)],[f674,f1939,f1129]) ).
fof(f1976,definition,
( sQ147_spl
<=> sP59_prd ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f1980,definition,
( sQ148_spl
<=> sP60_prd ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f1983,plain,
( sQ148_spl
| ~ sQ143_spl ),
inference(split_clause,[status(thm)],[f677,f1939,f1980]) ).
fof(f1984,plain,
( sQ40_spl
| ~ sQ34_spl
| ~ sQ143_spl ),
inference(split_clause,[status(thm)],[f678,f1939,f1239,f1259]) ).
fof(f1985,plain,
( sQ60_spl
| ~ sQ51_spl
| ~ sQ143_spl ),
inference(split_clause,[status(thm)],[f679,f1939,f1294,f1324]) ).
fof(f1986,plain,
( sQ51_spl
| sQ34_spl
| ~ sQ148_spl
| ~ sQ147_spl
| ~ sQ0_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f680,f1939,f1129,f1976,f1980,f1239,f1294]) ).
fof(f1987,plain,
( ~ sQ60_spl
| sQ34_spl
| ~ sQ148_spl
| ~ sQ147_spl
| ~ sQ0_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f681,f1939,f1129,f1976,f1980,f1239,f1324]) ).
fof(f1988,plain,
( sQ51_spl
| ~ sQ40_spl
| ~ sQ148_spl
| ~ sQ147_spl
| ~ sQ0_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f682,f1939,f1129,f1976,f1980,f1259,f1294]) ).
fof(f1989,plain,
( ~ sQ60_spl
| ~ sQ40_spl
| ~ sQ148_spl
| ~ sQ147_spl
| ~ sQ0_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f683,f1939,f1129,f1976,f1980,f1259,f1324]) ).
fof(f1990,plain,
( sQ1_spl
| ~ sQ4_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f685,f1944,f1142,f1132]) ).
fof(f1991,plain,
( sQ4_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f686,f1944,f1142]) ).
fof(f1992,plain,
( ~ sQ1_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f687,f1944,f1132]) ).
fof(f1994,plain,
( sQ21_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f690,f1948,f1197]) ).
fof(f1995,plain,
( ~ sQ21_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f691,f1948,f1197]) ).
fof(f1996,definition,
( sQ149_spl
<=> sP61_prd ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f1999,plain,
( sQ46_spl
| sQ149_spl
| ~ sQ146_spl ),
inference(split_clause,[status(thm)],[f695,f1965,f1996,f1278]) ).
fof(f2000,plain,
( ~ sQ43_spl
| sQ149_spl
| ~ sQ146_spl ),
inference(split_clause,[status(thm)],[f696,f1965,f1996,f1268]) ).
fof(f2001,plain,
( sQ63_spl
| sQ149_spl
| ~ sQ146_spl ),
inference(split_clause,[status(thm)],[f697,f1965,f1996,f1333]) ).
fof(f2002,plain,
( ~ sQ63_spl
| sQ149_spl
| ~ sQ146_spl ),
inference(split_clause,[status(thm)],[f698,f1965,f1996,f1333]) ).
fof(f2003,plain,
( ~ sQ149_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f699,f1965,f1996]) ).
fof(f2006,plain,
( sQ0_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f703,f1976,f1129]) ).
fof(f2007,plain,
( ~ sQ0_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f704,f1976,f1129]) ).
fof(f2008,plain,
( sQ20_spl
| ~ sQ17_spl
| ~ sQ148_spl ),
inference(split_clause,[status(thm)],[f706,f1980,f1184,f1194]) ).
fof(f2009,plain,
( sQ17_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f707,f1980,f1184]) ).
fof(f2010,plain,
( ~ sQ20_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f708,f1980,f1194]) ).
fof(f2011,definition,
( sQ150_spl
<=> sP62_prd ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f2014,plain,
( sQ46_spl
| sQ150_spl
| ~ sQ149_spl ),
inference(split_clause,[status(thm)],[f712,f1996,f2011,f1278]) ).
fof(f2015,plain,
( ~ sQ43_spl
| sQ150_spl
| ~ sQ149_spl ),
inference(split_clause,[status(thm)],[f713,f1996,f2011,f1268]) ).
fof(f2016,plain,
( sQ43_spl
| sQ150_spl
| ~ sQ149_spl ),
inference(split_clause,[status(thm)],[f714,f1996,f2011,f1268]) ).
fof(f2017,plain,
( ~ sQ46_spl
| sQ150_spl
| ~ sQ149_spl ),
inference(split_clause,[status(thm)],[f715,f1996,f2011,f1278]) ).
fof(f2018,plain,
( ~ sQ150_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f716,f1996,f2011]) ).
fof(f2020,definition,
( sQ151_spl
<=> sP63_prd ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f2023,plain,
( sQ46_spl
| sQ151_spl
| ~ sQ150_spl ),
inference(split_clause,[status(thm)],[f721,f2011,f2020,f1278]) ).
fof(f2024,plain,
( ~ sQ43_spl
| sQ151_spl
| ~ sQ150_spl ),
inference(split_clause,[status(thm)],[f722,f2011,f2020,f1268]) ).
fof(f2025,plain,
( sQ23_spl
| sQ151_spl
| ~ sQ150_spl ),
inference(split_clause,[status(thm)],[f723,f2011,f2020,f1203]) ).
fof(f2026,plain,
( ~ sQ29_spl
| sQ151_spl
| ~ sQ150_spl ),
inference(split_clause,[status(thm)],[f724,f2011,f2020,f1223]) ).
fof(f2027,plain,
( ~ sQ151_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f725,f2011,f2020]) ).
fof(f2029,definition,
( sQ152_spl
<=> sP64_prd ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f2032,plain,
( sQ46_spl
| sQ152_spl
| ~ sQ151_spl ),
inference(split_clause,[status(thm)],[f730,f2020,f2029,f1278]) ).
fof(f2033,plain,
( ~ sQ43_spl
| sQ152_spl
| ~ sQ151_spl ),
inference(split_clause,[status(thm)],[f731,f2020,f2029,f1268]) ).
fof(f2034,plain,
( sQ3_spl
| sQ152_spl
| ~ sQ151_spl ),
inference(split_clause,[status(thm)],[f732,f2020,f2029,f1138]) ).
fof(f2035,plain,
( ~ sQ12_spl
| sQ152_spl
| ~ sQ151_spl ),
inference(split_clause,[status(thm)],[f733,f2020,f2029,f1168]) ).
fof(f2036,plain,
( ~ sQ152_spl
| sQ151_spl ),
inference(split_clause,[status(thm)],[f734,f2020,f2029]) ).
fof(f2038,definition,
( sQ153_spl
<=> sP65_prd ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f2041,plain,
( sQ42_spl
| sQ153_spl
| ~ sQ152_spl ),
inference(split_clause,[status(thm)],[f739,f2029,f2038,f1265]) ).
fof(f2042,plain,
( ~ sQ42_spl
| sQ153_spl
| ~ sQ152_spl ),
inference(split_clause,[status(thm)],[f740,f2029,f2038,f1265]) ).
fof(f2043,plain,
( sQ62_spl
| sQ153_spl
| ~ sQ152_spl ),
inference(split_clause,[status(thm)],[f741,f2029,f2038,f1330]) ).
fof(f2044,plain,
( ~ sQ59_spl
| sQ153_spl
| ~ sQ152_spl ),
inference(split_clause,[status(thm)],[f742,f2029,f2038,f1320]) ).
fof(f2045,plain,
( ~ sQ153_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f743,f2029,f2038]) ).
fof(f2047,definition,
( sQ154_spl
<=> sP66_prd ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f2050,plain,
( sQ42_spl
| sQ154_spl
| ~ sQ153_spl ),
inference(split_clause,[status(thm)],[f748,f2038,f2047,f1265]) ).
fof(f2051,plain,
( ~ sQ42_spl
| sQ154_spl
| ~ sQ153_spl ),
inference(split_clause,[status(thm)],[f749,f2038,f2047,f1265]) ).
fof(f2054,plain,
( ~ sQ154_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f752,f2038,f2047]) ).
fof(f2056,definition,
( sQ155_spl
<=> sP67_prd ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f2059,plain,
( sQ42_spl
| sQ155_spl
| ~ sQ154_spl ),
inference(split_clause,[status(thm)],[f757,f2047,f2056,f1265]) ).
fof(f2060,plain,
( ~ sQ42_spl
| sQ155_spl
| ~ sQ154_spl ),
inference(split_clause,[status(thm)],[f758,f2047,f2056,f1265]) ).
fof(f2061,plain,
( sQ22_spl
| sQ155_spl
| ~ sQ154_spl ),
inference(split_clause,[status(thm)],[f759,f2047,f2056,f1200]) ).
fof(f2062,plain,
( ~ sQ25_spl
| sQ155_spl
| ~ sQ154_spl ),
inference(split_clause,[status(thm)],[f760,f2047,f2056,f1210]) ).
fof(f2063,plain,
( ~ sQ155_spl
| sQ154_spl ),
inference(split_clause,[status(thm)],[f761,f2047,f2056]) ).
fof(f2065,definition,
( sQ156_spl
<=> sP68_prd ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f2068,plain,
( sQ42_spl
| sQ156_spl
| ~ sQ155_spl ),
inference(split_clause,[status(thm)],[f766,f2056,f2065,f1265]) ).
fof(f2069,plain,
( ~ sQ42_spl
| sQ156_spl
| ~ sQ155_spl ),
inference(split_clause,[status(thm)],[f767,f2056,f2065,f1265]) ).
fof(f2070,plain,
( sQ2_spl
| sQ156_spl
| ~ sQ155_spl ),
inference(split_clause,[status(thm)],[f768,f2056,f2065,f1135]) ).
fof(f2071,plain,
( ~ sQ8_spl
| sQ156_spl
| ~ sQ155_spl ),
inference(split_clause,[status(thm)],[f769,f2056,f2065,f1155]) ).
fof(f2072,plain,
( ~ sQ156_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f770,f2056,f2065]) ).
fof(f2074,definition,
( sQ157_spl
<=> sP69_prd ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f2077,plain,
( sQ38_spl
| sQ157_spl
| ~ sQ156_spl ),
inference(split_clause,[status(thm)],[f775,f2065,f2074,f1252]) ).
fof(f2078,plain,
( ~ sQ41_spl
| sQ157_spl
| ~ sQ156_spl ),
inference(split_clause,[status(thm)],[f776,f2065,f2074,f1262]) ).
fof(f2079,plain,
( sQ61_spl
| sQ157_spl
| ~ sQ156_spl ),
inference(split_clause,[status(thm)],[f777,f2065,f2074,f1327]) ).
fof(f2080,plain,
( ~ sQ55_spl
| sQ157_spl
| ~ sQ156_spl ),
inference(split_clause,[status(thm)],[f778,f2065,f2074,f1307]) ).
fof(f2081,plain,
( ~ sQ157_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f779,f2065,f2074]) ).
fof(f2082,plain,
( sQ55_spl
| ~ sQ61_spl
| sQ41_spl
| ~ sQ38_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f780,f2065,f1252,f1262,f1327,f1307]) ).
fof(f2083,definition,
( sQ158_spl
<=> sP70_prd ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f2086,plain,
( sQ38_spl
| sQ158_spl
| ~ sQ157_spl ),
inference(split_clause,[status(thm)],[f784,f2074,f2083,f1252]) ).
fof(f2087,plain,
( ~ sQ41_spl
| sQ158_spl
| ~ sQ157_spl ),
inference(split_clause,[status(thm)],[f785,f2074,f2083,f1262]) ).
fof(f2088,plain,
( sQ41_spl
| sQ158_spl
| ~ sQ157_spl ),
inference(split_clause,[status(thm)],[f786,f2074,f2083,f1262]) ).
fof(f2089,plain,
( ~ sQ38_spl
| sQ158_spl
| ~ sQ157_spl ),
inference(split_clause,[status(thm)],[f787,f2074,f2083,f1252]) ).
fof(f2090,plain,
( ~ sQ158_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f788,f2074,f2083]) ).
fof(f2092,definition,
( sQ159_spl
<=> sP71_prd ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f2095,plain,
( sQ38_spl
| sQ159_spl
| ~ sQ158_spl ),
inference(split_clause,[status(thm)],[f793,f2083,f2092,f1252]) ).
fof(f2096,plain,
( ~ sQ41_spl
| sQ159_spl
| ~ sQ158_spl ),
inference(split_clause,[status(thm)],[f794,f2083,f2092,f1262]) ).
fof(f2097,plain,
( sQ21_spl
| sQ159_spl
| ~ sQ158_spl ),
inference(split_clause,[status(thm)],[f795,f2083,f2092,f1197]) ).
fof(f2098,plain,
( ~ sQ21_spl
| sQ159_spl
| ~ sQ158_spl ),
inference(split_clause,[status(thm)],[f796,f2083,f2092,f1197]) ).
fof(f2099,plain,
( ~ sQ159_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f797,f2083,f2092]) ).
fof(f2101,definition,
( sQ160_spl
<=> sP72_prd ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f2104,plain,
( sQ38_spl
| sQ160_spl
| ~ sQ159_spl ),
inference(split_clause,[status(thm)],[f802,f2092,f2101,f1252]) ).
fof(f2105,plain,
( ~ sQ41_spl
| sQ160_spl
| ~ sQ159_spl ),
inference(split_clause,[status(thm)],[f803,f2092,f2101,f1262]) ).
fof(f2106,plain,
( sQ1_spl
| sQ160_spl
| ~ sQ159_spl ),
inference(split_clause,[status(thm)],[f804,f2092,f2101,f1132]) ).
fof(f2107,plain,
( ~ sQ4_spl
| sQ160_spl
| ~ sQ159_spl ),
inference(split_clause,[status(thm)],[f805,f2092,f2101,f1142]) ).
fof(f2108,plain,
( ~ sQ160_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f806,f2092,f2101]) ).
fof(f2110,definition,
( sQ161_spl
<=> sP73_prd ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f2113,plain,
( sQ34_spl
| sQ161_spl
| ~ sQ160_spl ),
inference(split_clause,[status(thm)],[f811,f2101,f2110,f1239]) ).
fof(f2114,plain,
( ~ sQ40_spl
| sQ161_spl
| ~ sQ160_spl ),
inference(split_clause,[status(thm)],[f812,f2101,f2110,f1259]) ).
fof(f2115,plain,
( sQ60_spl
| sQ161_spl
| ~ sQ160_spl ),
inference(split_clause,[status(thm)],[f813,f2101,f2110,f1324]) ).
fof(f2116,plain,
( ~ sQ51_spl
| sQ161_spl
| ~ sQ160_spl ),
inference(split_clause,[status(thm)],[f814,f2101,f2110,f1294]) ).
fof(f2117,plain,
( ~ sQ161_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f815,f2101,f2110]) ).
fof(f2119,definition,
( sQ162_spl
<=> sP74_prd ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f2122,plain,
( sQ34_spl
| sQ162_spl
| ~ sQ161_spl ),
inference(split_clause,[status(thm)],[f820,f2110,f2119,f1239]) ).
fof(f2123,plain,
( ~ sQ40_spl
| sQ162_spl
| ~ sQ161_spl ),
inference(split_clause,[status(thm)],[f821,f2110,f2119,f1259]) ).
fof(f2124,plain,
( sQ40_spl
| sQ162_spl
| ~ sQ161_spl ),
inference(split_clause,[status(thm)],[f822,f2110,f2119,f1259]) ).
fof(f2125,plain,
( ~ sQ34_spl
| sQ162_spl
| ~ sQ161_spl ),
inference(split_clause,[status(thm)],[f823,f2110,f2119,f1239]) ).
fof(f2126,plain,
( ~ sQ162_spl
| sQ161_spl ),
inference(split_clause,[status(thm)],[f824,f2110,f2119]) ).
fof(f2128,definition,
( sQ163_spl
<=> sP75_prd ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f2131,plain,
( sQ34_spl
| sQ163_spl
| ~ sQ162_spl ),
inference(split_clause,[status(thm)],[f829,f2119,f2128,f1239]) ).
fof(f2132,plain,
( ~ sQ40_spl
| sQ163_spl
| ~ sQ162_spl ),
inference(split_clause,[status(thm)],[f830,f2119,f2128,f1259]) ).
fof(f2133,plain,
( sQ20_spl
| sQ163_spl
| ~ sQ162_spl ),
inference(split_clause,[status(thm)],[f831,f2119,f2128,f1194]) ).
fof(f2134,plain,
( ~ sQ17_spl
| sQ163_spl
| ~ sQ162_spl ),
inference(split_clause,[status(thm)],[f832,f2119,f2128,f1184]) ).
fof(f2135,plain,
( ~ sQ163_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f833,f2119,f2128]) ).
fof(f2137,definition,
( sQ164_spl
<=> sP76_prd ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f2140,plain,
( sQ34_spl
| sQ164_spl
| ~ sQ163_spl ),
inference(split_clause,[status(thm)],[f838,f2128,f2137,f1239]) ).
fof(f2141,plain,
( ~ sQ40_spl
| sQ164_spl
| ~ sQ163_spl ),
inference(split_clause,[status(thm)],[f839,f2128,f2137,f1259]) ).
fof(f2142,plain,
( sQ0_spl
| sQ164_spl
| ~ sQ163_spl ),
inference(split_clause,[status(thm)],[f840,f2128,f2137,f1129]) ).
fof(f2143,plain,
( ~ sQ0_spl
| sQ164_spl
| ~ sQ163_spl ),
inference(split_clause,[status(thm)],[f841,f2128,f2137,f1129]) ).
fof(f2144,plain,
( ~ sQ164_spl
| sQ163_spl ),
inference(split_clause,[status(thm)],[f842,f2128,f2137]) ).
fof(f2146,definition,
( sQ165_spl
<=> sP77_prd ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f2149,plain,
( sQ29_spl
| sQ165_spl
| ~ sQ164_spl ),
inference(split_clause,[status(thm)],[f847,f2137,f2146,f1223]) ).
fof(f2150,plain,
( ~ sQ23_spl
| sQ165_spl
| ~ sQ164_spl ),
inference(split_clause,[status(thm)],[f848,f2137,f2146,f1203]) ).
fof(f2151,plain,
( sQ63_spl
| sQ165_spl
| ~ sQ164_spl ),
inference(split_clause,[status(thm)],[f849,f2137,f2146,f1333]) ).
fof(f2152,plain,
( ~ sQ63_spl
| sQ165_spl
| ~ sQ164_spl ),
inference(split_clause,[status(thm)],[f850,f2137,f2146,f1333]) ).
fof(f2153,plain,
( ~ sQ165_spl
| sQ164_spl ),
inference(split_clause,[status(thm)],[f851,f2137,f2146]) ).
fof(f2155,definition,
( sQ166_spl
<=> sP78_prd ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f2158,plain,
( sQ29_spl
| sQ166_spl
| ~ sQ165_spl ),
inference(split_clause,[status(thm)],[f856,f2146,f2155,f1223]) ).
fof(f2159,plain,
( ~ sQ23_spl
| sQ166_spl
| ~ sQ165_spl ),
inference(split_clause,[status(thm)],[f857,f2146,f2155,f1203]) ).
fof(f2160,plain,
( sQ43_spl
| sQ166_spl
| ~ sQ165_spl ),
inference(split_clause,[status(thm)],[f858,f2146,f2155,f1268]) ).
fof(f2161,plain,
( ~ sQ46_spl
| sQ166_spl
| ~ sQ165_spl ),
inference(split_clause,[status(thm)],[f859,f2146,f2155,f1278]) ).
fof(f2162,plain,
( ~ sQ166_spl
| sQ165_spl ),
inference(split_clause,[status(thm)],[f860,f2146,f2155]) ).
fof(f2164,definition,
( sQ167_spl
<=> sP79_prd ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f2167,plain,
( sQ29_spl
| sQ167_spl
| ~ sQ166_spl ),
inference(split_clause,[status(thm)],[f865,f2155,f2164,f1223]) ).
fof(f2168,plain,
( ~ sQ23_spl
| sQ167_spl
| ~ sQ166_spl ),
inference(split_clause,[status(thm)],[f866,f2155,f2164,f1203]) ).
fof(f2169,plain,
( sQ23_spl
| sQ167_spl
| ~ sQ166_spl ),
inference(split_clause,[status(thm)],[f867,f2155,f2164,f1203]) ).
fof(f2170,plain,
( ~ sQ29_spl
| sQ167_spl
| ~ sQ166_spl ),
inference(split_clause,[status(thm)],[f868,f2155,f2164,f1223]) ).
fof(f2171,plain,
( ~ sQ167_spl
| sQ166_spl ),
inference(split_clause,[status(thm)],[f869,f2155,f2164]) ).
fof(f2173,definition,
( sQ168_spl
<=> sP80_prd ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f2176,plain,
( sQ29_spl
| sQ168_spl
| ~ sQ167_spl ),
inference(split_clause,[status(thm)],[f874,f2164,f2173,f1223]) ).
fof(f2177,plain,
( ~ sQ23_spl
| sQ168_spl
| ~ sQ167_spl ),
inference(split_clause,[status(thm)],[f875,f2164,f2173,f1203]) ).
fof(f2178,plain,
( sQ3_spl
| sQ168_spl
| ~ sQ167_spl ),
inference(split_clause,[status(thm)],[f876,f2164,f2173,f1138]) ).
fof(f2179,plain,
( ~ sQ12_spl
| sQ168_spl
| ~ sQ167_spl ),
inference(split_clause,[status(thm)],[f877,f2164,f2173,f1168]) ).
fof(f2180,plain,
( ~ sQ168_spl
| sQ167_spl ),
inference(split_clause,[status(thm)],[f878,f2164,f2173]) ).
fof(f2182,definition,
( sQ169_spl
<=> sP81_prd ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f2185,plain,
( sQ25_spl
| sQ169_spl
| ~ sQ168_spl ),
inference(split_clause,[status(thm)],[f883,f2173,f2182,f1210]) ).
fof(f2186,plain,
( ~ sQ22_spl
| sQ169_spl
| ~ sQ168_spl ),
inference(split_clause,[status(thm)],[f884,f2173,f2182,f1200]) ).
fof(f2187,plain,
( sQ62_spl
| sQ169_spl
| ~ sQ168_spl ),
inference(split_clause,[status(thm)],[f885,f2173,f2182,f1330]) ).
fof(f2188,plain,
( ~ sQ59_spl
| sQ169_spl
| ~ sQ168_spl ),
inference(split_clause,[status(thm)],[f886,f2173,f2182,f1320]) ).
fof(f2189,plain,
( ~ sQ169_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f887,f2173,f2182]) ).
fof(f2191,definition,
( sQ170_spl
<=> sP82_prd ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f2194,plain,
( sQ25_spl
| sQ170_spl
| ~ sQ169_spl ),
inference(split_clause,[status(thm)],[f892,f2182,f2191,f1210]) ).
fof(f2195,plain,
( ~ sQ22_spl
| sQ170_spl
| ~ sQ169_spl ),
inference(split_clause,[status(thm)],[f893,f2182,f2191,f1200]) ).
fof(f2196,plain,
( sQ42_spl
| sQ170_spl
| ~ sQ169_spl ),
inference(split_clause,[status(thm)],[f894,f2182,f2191,f1265]) ).
fof(f2197,plain,
( ~ sQ42_spl
| sQ170_spl
| ~ sQ169_spl ),
inference(split_clause,[status(thm)],[f895,f2182,f2191,f1265]) ).
fof(f2198,plain,
( ~ sQ170_spl
| sQ169_spl ),
inference(split_clause,[status(thm)],[f896,f2182,f2191]) ).
fof(f2200,definition,
( sQ171_spl
<=> sP83_prd ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f2203,plain,
( sQ25_spl
| sQ171_spl
| ~ sQ170_spl ),
inference(split_clause,[status(thm)],[f901,f2191,f2200,f1210]) ).
fof(f2204,plain,
( ~ sQ22_spl
| sQ171_spl
| ~ sQ170_spl ),
inference(split_clause,[status(thm)],[f902,f2191,f2200,f1200]) ).
fof(f2205,plain,
( sQ22_spl
| sQ171_spl
| ~ sQ170_spl ),
inference(split_clause,[status(thm)],[f903,f2191,f2200,f1200]) ).
fof(f2206,plain,
( ~ sQ25_spl
| sQ171_spl
| ~ sQ170_spl ),
inference(split_clause,[status(thm)],[f904,f2191,f2200,f1210]) ).
fof(f2207,plain,
( ~ sQ171_spl
| sQ170_spl ),
inference(split_clause,[status(thm)],[f905,f2191,f2200]) ).
fof(f2209,definition,
( sQ172_spl
<=> sP84_prd ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f2212,plain,
( sQ25_spl
| sQ172_spl
| ~ sQ171_spl ),
inference(split_clause,[status(thm)],[f910,f2200,f2209,f1210]) ).
fof(f2213,plain,
( ~ sQ22_spl
| sQ172_spl
| ~ sQ171_spl ),
inference(split_clause,[status(thm)],[f911,f2200,f2209,f1200]) ).
fof(f2214,plain,
( sQ2_spl
| sQ172_spl
| ~ sQ171_spl ),
inference(split_clause,[status(thm)],[f912,f2200,f2209,f1135]) ).
fof(f2215,plain,
( ~ sQ8_spl
| sQ172_spl
| ~ sQ171_spl ),
inference(split_clause,[status(thm)],[f913,f2200,f2209,f1155]) ).
fof(f2216,plain,
( ~ sQ172_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f914,f2200,f2209]) ).
fof(f2217,plain,
( sQ8_spl
| ~ sQ2_spl
| sQ22_spl
| ~ sQ25_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f915,f2200,f1210,f1200,f1135,f1155]) ).
fof(f2218,definition,
( sQ173_spl
<=> sP85_prd ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f2221,plain,
( sQ21_spl
| sQ173_spl
| ~ sQ172_spl ),
inference(split_clause,[status(thm)],[f919,f2209,f2218,f1197]) ).
fof(f2222,plain,
( ~ sQ21_spl
| sQ173_spl
| ~ sQ172_spl ),
inference(split_clause,[status(thm)],[f920,f2209,f2218,f1197]) ).
fof(f2223,plain,
( sQ61_spl
| sQ173_spl
| ~ sQ172_spl ),
inference(split_clause,[status(thm)],[f921,f2209,f2218,f1327]) ).
fof(f2224,plain,
( ~ sQ55_spl
| sQ173_spl
| ~ sQ172_spl ),
inference(split_clause,[status(thm)],[f922,f2209,f2218,f1307]) ).
fof(f2225,plain,
( ~ sQ173_spl
| sQ172_spl ),
inference(split_clause,[status(thm)],[f923,f2209,f2218]) ).
fof(f2227,definition,
( sQ174_spl
<=> sP86_prd ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f2230,plain,
( sQ21_spl
| sQ174_spl
| ~ sQ173_spl ),
inference(split_clause,[status(thm)],[f928,f2218,f2227,f1197]) ).
fof(f2231,plain,
( ~ sQ21_spl
| sQ174_spl
| ~ sQ173_spl ),
inference(split_clause,[status(thm)],[f929,f2218,f2227,f1197]) ).
fof(f2232,plain,
( sQ41_spl
| sQ174_spl
| ~ sQ173_spl ),
inference(split_clause,[status(thm)],[f930,f2218,f2227,f1262]) ).
fof(f2233,plain,
( ~ sQ38_spl
| sQ174_spl
| ~ sQ173_spl ),
inference(split_clause,[status(thm)],[f931,f2218,f2227,f1252]) ).
fof(f2234,plain,
( ~ sQ174_spl
| sQ173_spl ),
inference(split_clause,[status(thm)],[f932,f2218,f2227]) ).
fof(f2236,definition,
( sQ175_spl
<=> sP87_prd ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f2239,plain,
( sQ21_spl
| sQ175_spl
| ~ sQ174_spl ),
inference(split_clause,[status(thm)],[f937,f2227,f2236,f1197]) ).
fof(f2240,plain,
( ~ sQ21_spl
| sQ175_spl
| ~ sQ174_spl ),
inference(split_clause,[status(thm)],[f938,f2227,f2236,f1197]) ).
fof(f2243,plain,
( ~ sQ175_spl
| sQ174_spl ),
inference(split_clause,[status(thm)],[f941,f2227,f2236]) ).
fof(f2245,definition,
( sQ176_spl
<=> sP88_prd ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f2248,plain,
( sQ21_spl
| sQ176_spl
| ~ sQ175_spl ),
inference(split_clause,[status(thm)],[f946,f2236,f2245,f1197]) ).
fof(f2249,plain,
( ~ sQ21_spl
| sQ176_spl
| ~ sQ175_spl ),
inference(split_clause,[status(thm)],[f947,f2236,f2245,f1197]) ).
fof(f2250,plain,
( sQ1_spl
| sQ176_spl
| ~ sQ175_spl ),
inference(split_clause,[status(thm)],[f948,f2236,f2245,f1132]) ).
fof(f2251,plain,
( ~ sQ4_spl
| sQ176_spl
| ~ sQ175_spl ),
inference(split_clause,[status(thm)],[f949,f2236,f2245,f1142]) ).
fof(f2252,plain,
( ~ sQ176_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f950,f2236,f2245]) ).
fof(f2254,definition,
( sQ177_spl
<=> sP89_prd ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f2257,plain,
( sQ17_spl
| sQ177_spl
| ~ sQ176_spl ),
inference(split_clause,[status(thm)],[f955,f2245,f2254,f1184]) ).
fof(f2258,plain,
( ~ sQ20_spl
| sQ177_spl
| ~ sQ176_spl ),
inference(split_clause,[status(thm)],[f956,f2245,f2254,f1194]) ).
fof(f2259,plain,
( sQ60_spl
| sQ177_spl
| ~ sQ176_spl ),
inference(split_clause,[status(thm)],[f957,f2245,f2254,f1324]) ).
fof(f2260,plain,
( ~ sQ51_spl
| sQ177_spl
| ~ sQ176_spl ),
inference(split_clause,[status(thm)],[f958,f2245,f2254,f1294]) ).
fof(f2261,plain,
( ~ sQ177_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f959,f2245,f2254]) ).
fof(f2262,plain,
( sQ51_spl
| ~ sQ60_spl
| sQ20_spl
| ~ sQ17_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f960,f2245,f1184,f1194,f1324,f1294]) ).
fof(f2263,definition,
( sQ178_spl
<=> sP90_prd ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f2266,plain,
( sQ17_spl
| sQ178_spl
| ~ sQ177_spl ),
inference(split_clause,[status(thm)],[f964,f2254,f2263,f1184]) ).
fof(f2267,plain,
( ~ sQ20_spl
| sQ178_spl
| ~ sQ177_spl ),
inference(split_clause,[status(thm)],[f965,f2254,f2263,f1194]) ).
fof(f2268,plain,
( sQ40_spl
| sQ178_spl
| ~ sQ177_spl ),
inference(split_clause,[status(thm)],[f966,f2254,f2263,f1259]) ).
fof(f2269,plain,
( ~ sQ34_spl
| sQ178_spl
| ~ sQ177_spl ),
inference(split_clause,[status(thm)],[f967,f2254,f2263,f1239]) ).
fof(f2270,plain,
( ~ sQ178_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f968,f2254,f2263]) ).
fof(f2272,definition,
( sQ179_spl
<=> sP91_prd ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f2275,plain,
( sQ17_spl
| sQ179_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f973,f2263,f2272,f1184]) ).
fof(f2276,plain,
( ~ sQ20_spl
| sQ179_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f974,f2263,f2272,f1194]) ).
fof(f2277,plain,
( sQ20_spl
| sQ179_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f975,f2263,f2272,f1194]) ).
fof(f2279,plain,
( ~ sQ179_spl
| sQ178_spl ),
inference(split_clause,[status(thm)],[f977,f2263,f2272]) ).
fof(f2281,definition,
( sQ180_spl
<=> sP92_prd ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f2284,plain,
( sQ17_spl
| sQ180_spl
| ~ sQ179_spl ),
inference(split_clause,[status(thm)],[f982,f2272,f2281,f1184]) ).
fof(f2285,plain,
( ~ sQ20_spl
| sQ180_spl
| ~ sQ179_spl ),
inference(split_clause,[status(thm)],[f983,f2272,f2281,f1194]) ).
fof(f2286,plain,
( sQ0_spl
| sQ180_spl
| ~ sQ179_spl ),
inference(split_clause,[status(thm)],[f984,f2272,f2281,f1129]) ).
fof(f2287,plain,
( ~ sQ0_spl
| sQ180_spl
| ~ sQ179_spl ),
inference(split_clause,[status(thm)],[f985,f2272,f2281,f1129]) ).
fof(f2288,plain,
( ~ sQ180_spl
| sQ179_spl ),
inference(split_clause,[status(thm)],[f986,f2272,f2281]) ).
fof(f2290,definition,
( sQ181_spl
<=> sP93_prd ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f2293,plain,
( sQ12_spl
| sQ181_spl
| ~ sQ180_spl ),
inference(split_clause,[status(thm)],[f991,f2281,f2290,f1168]) ).
fof(f2294,plain,
( ~ sQ3_spl
| sQ181_spl
| ~ sQ180_spl ),
inference(split_clause,[status(thm)],[f992,f2281,f2290,f1138]) ).
fof(f2295,plain,
( sQ63_spl
| sQ181_spl
| ~ sQ180_spl ),
inference(split_clause,[status(thm)],[f993,f2281,f2290,f1333]) ).
fof(f2296,plain,
( ~ sQ63_spl
| sQ181_spl
| ~ sQ180_spl ),
inference(split_clause,[status(thm)],[f994,f2281,f2290,f1333]) ).
fof(f2297,plain,
( ~ sQ181_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f995,f2281,f2290]) ).
fof(f2299,definition,
( sQ182_spl
<=> sP94_prd ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f2302,plain,
( sQ12_spl
| sQ182_spl
| ~ sQ181_spl ),
inference(split_clause,[status(thm)],[f1000,f2290,f2299,f1168]) ).
fof(f2303,plain,
( ~ sQ3_spl
| sQ182_spl
| ~ sQ181_spl ),
inference(split_clause,[status(thm)],[f1001,f2290,f2299,f1138]) ).
fof(f2304,plain,
( sQ43_spl
| sQ182_spl
| ~ sQ181_spl ),
inference(split_clause,[status(thm)],[f1002,f2290,f2299,f1268]) ).
fof(f2305,plain,
( ~ sQ46_spl
| sQ182_spl
| ~ sQ181_spl ),
inference(split_clause,[status(thm)],[f1003,f2290,f2299,f1278]) ).
fof(f2306,plain,
( ~ sQ182_spl
| sQ181_spl ),
inference(split_clause,[status(thm)],[f1004,f2290,f2299]) ).
fof(f2307,plain,
( sQ46_spl
| ~ sQ43_spl
| sQ3_spl
| ~ sQ12_spl
| sQ181_spl ),
inference(split_clause,[status(thm)],[f1005,f2290,f1168,f1138,f1268,f1278]) ).
fof(f2308,definition,
( sQ183_spl
<=> sP95_prd ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f2311,plain,
( sQ12_spl
| sQ183_spl
| ~ sQ182_spl ),
inference(split_clause,[status(thm)],[f1009,f2299,f2308,f1168]) ).
fof(f2312,plain,
( ~ sQ3_spl
| sQ183_spl
| ~ sQ182_spl ),
inference(split_clause,[status(thm)],[f1010,f2299,f2308,f1138]) ).
fof(f2313,plain,
( sQ23_spl
| sQ183_spl
| ~ sQ182_spl ),
inference(split_clause,[status(thm)],[f1011,f2299,f2308,f1203]) ).
fof(f2314,plain,
( ~ sQ29_spl
| sQ183_spl
| ~ sQ182_spl ),
inference(split_clause,[status(thm)],[f1012,f2299,f2308,f1223]) ).
fof(f2315,plain,
( ~ sQ183_spl
| sQ182_spl ),
inference(split_clause,[status(thm)],[f1013,f2299,f2308]) ).
fof(f2317,definition,
( sQ184_spl
<=> sP96_prd ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f2320,plain,
( sQ12_spl
| sQ184_spl
| ~ sQ183_spl ),
inference(split_clause,[status(thm)],[f1018,f2308,f2317,f1168]) ).
fof(f2321,plain,
( ~ sQ3_spl
| sQ184_spl
| ~ sQ183_spl ),
inference(split_clause,[status(thm)],[f1019,f2308,f2317,f1138]) ).
fof(f2322,plain,
( sQ3_spl
| sQ184_spl
| ~ sQ183_spl ),
inference(split_clause,[status(thm)],[f1020,f2308,f2317,f1138]) ).
fof(f2323,plain,
( ~ sQ12_spl
| sQ184_spl
| ~ sQ183_spl ),
inference(split_clause,[status(thm)],[f1021,f2308,f2317,f1168]) ).
fof(f2324,plain,
( ~ sQ184_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f1022,f2308,f2317]) ).
fof(f2326,definition,
( sQ185_spl
<=> sP97_prd ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f2329,plain,
( sQ8_spl
| sQ185_spl
| ~ sQ184_spl ),
inference(split_clause,[status(thm)],[f1027,f2317,f2326,f1155]) ).
fof(f2330,plain,
( ~ sQ2_spl
| sQ185_spl
| ~ sQ184_spl ),
inference(split_clause,[status(thm)],[f1028,f2317,f2326,f1135]) ).
fof(f2331,plain,
( sQ62_spl
| sQ185_spl
| ~ sQ184_spl ),
inference(split_clause,[status(thm)],[f1029,f2317,f2326,f1330]) ).
fof(f2332,plain,
( ~ sQ59_spl
| sQ185_spl
| ~ sQ184_spl ),
inference(split_clause,[status(thm)],[f1030,f2317,f2326,f1320]) ).
fof(f2333,plain,
( ~ sQ185_spl
| sQ184_spl ),
inference(split_clause,[status(thm)],[f1031,f2317,f2326]) ).
fof(f2334,plain,
( sQ59_spl
| ~ sQ62_spl
| sQ2_spl
| ~ sQ8_spl
| sQ184_spl ),
inference(split_clause,[status(thm)],[f1032,f2317,f1155,f1135,f1330,f1320]) ).
fof(f2335,definition,
( sQ186_spl
<=> sP98_prd ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f2338,plain,
( sQ8_spl
| sQ186_spl
| ~ sQ185_spl ),
inference(split_clause,[status(thm)],[f1036,f2326,f2335,f1155]) ).
fof(f2339,plain,
( ~ sQ2_spl
| sQ186_spl
| ~ sQ185_spl ),
inference(split_clause,[status(thm)],[f1037,f2326,f2335,f1135]) ).
fof(f2340,plain,
( sQ42_spl
| sQ186_spl
| ~ sQ185_spl ),
inference(split_clause,[status(thm)],[f1038,f2326,f2335,f1265]) ).
fof(f2341,plain,
( ~ sQ42_spl
| sQ186_spl
| ~ sQ185_spl ),
inference(split_clause,[status(thm)],[f1039,f2326,f2335,f1265]) ).
fof(f2342,plain,
( ~ sQ186_spl
| sQ185_spl ),
inference(split_clause,[status(thm)],[f1040,f2326,f2335]) ).
fof(f2344,definition,
( sQ187_spl
<=> sP99_prd ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f2347,plain,
( sQ8_spl
| sQ187_spl
| ~ sQ186_spl ),
inference(split_clause,[status(thm)],[f1045,f2335,f2344,f1155]) ).
fof(f2348,plain,
( ~ sQ2_spl
| sQ187_spl
| ~ sQ186_spl ),
inference(split_clause,[status(thm)],[f1046,f2335,f2344,f1135]) ).
fof(f2349,plain,
( sQ22_spl
| sQ187_spl
| ~ sQ186_spl ),
inference(split_clause,[status(thm)],[f1047,f2335,f2344,f1200]) ).
fof(f2350,plain,
( ~ sQ25_spl
| sQ187_spl
| ~ sQ186_spl ),
inference(split_clause,[status(thm)],[f1048,f2335,f2344,f1210]) ).
fof(f2351,plain,
( ~ sQ187_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f1049,f2335,f2344]) ).
fof(f2352,plain,
( sQ25_spl
| ~ sQ22_spl
| sQ2_spl
| ~ sQ8_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f1050,f2335,f1155,f1135,f1200,f1210]) ).
fof(f2353,definition,
( sQ188_spl
<=> sP100_prd ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f2356,plain,
( sQ8_spl
| sQ188_spl
| ~ sQ187_spl ),
inference(split_clause,[status(thm)],[f1054,f2344,f2353,f1155]) ).
fof(f2357,plain,
( ~ sQ2_spl
| sQ188_spl
| ~ sQ187_spl ),
inference(split_clause,[status(thm)],[f1055,f2344,f2353,f1135]) ).
fof(f2358,plain,
( sQ2_spl
| sQ188_spl
| ~ sQ187_spl ),
inference(split_clause,[status(thm)],[f1056,f2344,f2353,f1135]) ).
fof(f2359,plain,
( ~ sQ8_spl
| sQ188_spl
| ~ sQ187_spl ),
inference(split_clause,[status(thm)],[f1057,f2344,f2353,f1155]) ).
fof(f2360,plain,
( ~ sQ188_spl
| sQ187_spl ),
inference(split_clause,[status(thm)],[f1058,f2344,f2353]) ).
fof(f2362,definition,
( sQ189_spl
<=> sP101_prd ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f2365,plain,
( sQ4_spl
| sQ189_spl
| ~ sQ188_spl ),
inference(split_clause,[status(thm)],[f1063,f2353,f2362,f1142]) ).
fof(f2366,plain,
( ~ sQ1_spl
| sQ189_spl
| ~ sQ188_spl ),
inference(split_clause,[status(thm)],[f1064,f2353,f2362,f1132]) ).
fof(f2367,plain,
( sQ61_spl
| sQ189_spl
| ~ sQ188_spl ),
inference(split_clause,[status(thm)],[f1065,f2353,f2362,f1327]) ).
fof(f2368,plain,
( ~ sQ55_spl
| sQ189_spl
| ~ sQ188_spl ),
inference(split_clause,[status(thm)],[f1066,f2353,f2362,f1307]) ).
fof(f2369,plain,
( ~ sQ189_spl
| sQ188_spl ),
inference(split_clause,[status(thm)],[f1067,f2353,f2362]) ).
fof(f2370,plain,
( sQ55_spl
| ~ sQ61_spl
| sQ1_spl
| ~ sQ4_spl
| sQ188_spl ),
inference(split_clause,[status(thm)],[f1068,f2353,f1142,f1132,f1327,f1307]) ).
fof(f2371,definition,
( sQ190_spl
<=> sP102_prd ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f2374,plain,
( sQ4_spl
| sQ190_spl
| ~ sQ189_spl ),
inference(split_clause,[status(thm)],[f1072,f2362,f2371,f1142]) ).
fof(f2375,plain,
( ~ sQ1_spl
| sQ190_spl
| ~ sQ189_spl ),
inference(split_clause,[status(thm)],[f1073,f2362,f2371,f1132]) ).
fof(f2376,plain,
( sQ41_spl
| sQ190_spl
| ~ sQ189_spl ),
inference(split_clause,[status(thm)],[f1074,f2362,f2371,f1262]) ).
fof(f2377,plain,
( ~ sQ38_spl
| sQ190_spl
| ~ sQ189_spl ),
inference(split_clause,[status(thm)],[f1075,f2362,f2371,f1252]) ).
fof(f2378,plain,
( ~ sQ190_spl
| sQ189_spl ),
inference(split_clause,[status(thm)],[f1076,f2362,f2371]) ).
fof(f2380,definition,
( sQ191_spl
<=> sP103_prd ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f2383,plain,
( sQ4_spl
| sQ191_spl
| ~ sQ190_spl ),
inference(split_clause,[status(thm)],[f1081,f2371,f2380,f1142]) ).
fof(f2384,plain,
( ~ sQ1_spl
| sQ191_spl
| ~ sQ190_spl ),
inference(split_clause,[status(thm)],[f1082,f2371,f2380,f1132]) ).
fof(f2385,plain,
( sQ21_spl
| sQ191_spl
| ~ sQ190_spl ),
inference(split_clause,[status(thm)],[f1083,f2371,f2380,f1197]) ).
fof(f2386,plain,
( ~ sQ21_spl
| sQ191_spl
| ~ sQ190_spl ),
inference(split_clause,[status(thm)],[f1084,f2371,f2380,f1197]) ).
fof(f2387,plain,
( ~ sQ191_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f1085,f2371,f2380]) ).
fof(f2389,definition,
( sQ192_spl
<=> sP104_prd ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f2392,plain,
( sQ4_spl
| sQ192_spl
| ~ sQ191_spl ),
inference(split_clause,[status(thm)],[f1090,f2380,f2389,f1142]) ).
fof(f2393,plain,
( ~ sQ1_spl
| sQ192_spl
| ~ sQ191_spl ),
inference(split_clause,[status(thm)],[f1091,f2380,f2389,f1132]) ).
fof(f2394,plain,
( sQ1_spl
| sQ192_spl
| ~ sQ191_spl ),
inference(split_clause,[status(thm)],[f1092,f2380,f2389,f1132]) ).
fof(f2395,plain,
( ~ sQ4_spl
| sQ192_spl
| ~ sQ191_spl ),
inference(split_clause,[status(thm)],[f1093,f2380,f2389,f1142]) ).
fof(f2396,plain,
( ~ sQ192_spl
| sQ191_spl ),
inference(split_clause,[status(thm)],[f1094,f2380,f2389]) ).
fof(f2398,definition,
( sQ193_spl
<=> sP105_prd ),
introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).
fof(f2401,plain,
( sQ0_spl
| sQ193_spl
| ~ sQ192_spl ),
inference(split_clause,[status(thm)],[f1099,f2389,f2398,f1129]) ).
fof(f2402,plain,
( ~ sQ0_spl
| sQ193_spl
| ~ sQ192_spl ),
inference(split_clause,[status(thm)],[f1100,f2389,f2398,f1129]) ).
fof(f2403,plain,
( sQ60_spl
| sQ193_spl
| ~ sQ192_spl ),
inference(split_clause,[status(thm)],[f1101,f2389,f2398,f1324]) ).
fof(f2404,plain,
( ~ sQ51_spl
| sQ193_spl
| ~ sQ192_spl ),
inference(split_clause,[status(thm)],[f1102,f2389,f2398,f1294]) ).
fof(f2405,plain,
( ~ sQ193_spl
| sQ192_spl ),
inference(split_clause,[status(thm)],[f1103,f2389,f2398]) ).
fof(f2407,definition,
( sQ194_spl
<=> sP106_prd ),
introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).
fof(f2410,plain,
( sQ0_spl
| sQ194_spl
| ~ sQ193_spl ),
inference(split_clause,[status(thm)],[f1108,f2398,f2407,f1129]) ).
fof(f2411,plain,
( ~ sQ0_spl
| sQ194_spl
| ~ sQ193_spl ),
inference(split_clause,[status(thm)],[f1109,f2398,f2407,f1129]) ).
fof(f2412,plain,
( sQ40_spl
| sQ194_spl
| ~ sQ193_spl ),
inference(split_clause,[status(thm)],[f1110,f2398,f2407,f1259]) ).
fof(f2413,plain,
( ~ sQ34_spl
| sQ194_spl
| ~ sQ193_spl ),
inference(split_clause,[status(thm)],[f1111,f2398,f2407,f1239]) ).
fof(f2414,plain,
( ~ sQ194_spl
| sQ193_spl ),
inference(split_clause,[status(thm)],[f1112,f2398,f2407]) ).
fof(f2416,definition,
( sQ195_spl
<=> sP107_prd ),
introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).
fof(f2419,plain,
( sQ0_spl
| sQ195_spl
| ~ sQ194_spl ),
inference(split_clause,[status(thm)],[f1117,f2407,f2416,f1129]) ).
fof(f2420,plain,
( ~ sQ0_spl
| sQ195_spl
| ~ sQ194_spl ),
inference(split_clause,[status(thm)],[f1118,f2407,f2416,f1129]) ).
fof(f2421,plain,
( sQ20_spl
| sQ195_spl
| ~ sQ194_spl ),
inference(split_clause,[status(thm)],[f1119,f2407,f2416,f1194]) ).
fof(f2423,plain,
( ~ sQ195_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f1121,f2407,f2416]) ).
fof(f2425,plain,
( sQ0_spl
| ~ sQ195_spl ),
inference(split_clause,[status(thm)],[f1124,f2416,f1129]) ).
fof(f2426,plain,
( ~ sQ0_spl
| ~ sQ195_spl ),
inference(split_clause,[status(thm)],[f1125,f2416,f1129]) ).
fof(f2433,plain,
( ~ sQ30_spl
| e2 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f1227,f100]) ).
fof(f2438,plain,
( ~ sQ14_spl
| op(e0,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f1175,f104]) ).
fof(f2439,plain,
( ~ sQ14_spl
| e2 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f1175,f98]) ).
fof(f2441,plain,
( ~ sQ54_spl
| e2 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f1305,f124]) ).
fof(f2445,plain,
( ~ sQ54_spl
| op(e1,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f1305,f88]) ).
fof(f2449,plain,
( ~ sQ50_spl
| op(e2,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f1292,f83]) ).
fof(f2450,plain,
( ~ sQ50_spl
| op(e1,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f1292,f82]) ).
fof(f2451,plain,
( ~ sQ50_spl
| op(e0,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f1292,f80]) ).
fof(f2454,plain,
( ~ sQ45_spl
| op(e2,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f1276,f116]) ).
fof(f2455,plain,
( ~ sQ45_spl
| e1 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f1276,f101]) ).
fof(f2456,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f1175,f1172]) ).
fof(f2457,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2456,f129]) ).
fof(f2458,plain,
( ~ sQ13_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f2457]) ).
fof(f2460,plain,
( ~ sQ57_spl
| op(e2,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f1315,f95]) ).
fof(f2462,plain,
( ~ sQ57_spl
| op(e0,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f1315,f92]) ).
fof(f2463,plain,
( ~ sQ49_spl
| ~ sQ50_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f1292,f1289]) ).
fof(f2464,plain,
( ~ sQ49_spl
| ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2463,f129]) ).
fof(f2465,plain,
( ~ sQ49_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f2464]) ).
fof(f2466,plain,
( ~ sQ44_spl
| ~ sQ45_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f1276,f1273]) ).
fof(f2467,plain,
( ~ sQ44_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2466,f126]) ).
fof(f2468,plain,
( ~ sQ44_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f2467]) ).
fof(f2469,plain,
( ~ sQ28_spl
| ~ sQ30_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f1227,f1221]) ).
fof(f2470,plain,
( ~ sQ28_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2469,f127]) ).
fof(f2471,plain,
( ~ sQ28_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f2470]) ).
fof(f2472,plain,
( ~ sQ56_spl
| ~ sQ57_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f1315,f1312]) ).
fof(f2473,plain,
( ~ sQ56_spl
| ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2472,f126]) ).
fof(f2474,plain,
( ~ sQ56_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f2473]) ).
fof(f2475,plain,
( ~ sQ52_spl
| ~ sQ54_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f1305,f1299]) ).
fof(f2476,plain,
( ~ sQ52_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2475,f127]) ).
fof(f2477,plain,
( ~ sQ52_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f2476]) ).
fof(f2478,plain,
( ~ sQ27_spl
| op(e1,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f1217,f111]) ).
fof(f2482,plain,
( ~ sQ11_spl
| op(e0,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f1165,f105]) ).
fof(f2483,plain,
( ~ sQ11_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f1165,f103]) ).
fof(f2484,plain,
( ~ sQ11_spl
| e3 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f1165,f91]) ).
fof(f2487,plain,
( ~ sQ39_spl
| op(e1,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f1256,f87]) ).
fof(f2492,plain,
( ~ sQ9_spl
| ~ sQ11_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f1165,f1159]) ).
fof(f2493,plain,
( ~ sQ9_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2492,f130]) ).
fof(f2494,plain,
( ~ sQ9_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f2493]) ).
fof(f2495,plain,
( ~ sQ33_spl
| ~ sQ35_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f1243,f1237]) ).
fof(f2496,plain,
( ~ sQ33_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2495,f130]) ).
fof(f2497,plain,
( ~ sQ33_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f2496]) ).
fof(f2498,plain,
( ~ sQ24_spl
| ~ sQ27_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f1217,f1208]) ).
fof(f2499,plain,
( ~ sQ24_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2498,f128]) ).
fof(f2500,plain,
( ~ sQ24_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f2499]) ).
fof(f2501,plain,
( ~ sQ36_spl
| ~ sQ39_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f1256,f1247]) ).
fof(f2502,plain,
( ~ sQ36_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2501,f128]) ).
fof(f2503,plain,
( ~ sQ36_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f2502]) ).
fof(f2504,plain,
( ~ sQ7_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f1152,f102]) ).
fof(f2505,plain,
( ~ sQ7_spl
| e3 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f1152,f84]) ).
fof(f2506,plain,
( ~ sQ19_spl
| e3 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f1191,f108]) ).
fof(f2508,plain,
( ~ sQ6_spl
| ~ sQ7_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f1152,f1149]) ).
fof(f2509,plain,
( ~ sQ6_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2508,f131]) ).
fof(f2510,plain,
( ~ sQ6_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f2509]) ).
fof(f2511,plain,
( ~ sQ18_spl
| ~ sQ19_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f1191,f1188]) ).
fof(f2512,plain,
( ~ sQ18_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2511,f131]) ).
fof(f2513,plain,
( ~ sQ18_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f2512]) ).
fof(f2521,plain,
( sQ71_spl
| ~ sQ40_spl
| e1 != op(op(e2,e0),e2) ),
inference(backward_demodulation,[status(thm)],[f1260,f1405]) ).
fof(f2523,plain,
( sQ78_spl
| ~ sQ40_spl
| e1 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f1260,f1431]) ).
fof(f2524,plain,
( sQ89_spl
| ~ sQ40_spl
| e3 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f1260,f1478]) ).
fof(f2527,plain,
( ~ sQ58_spl
| ~ sQ59_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f1321,f1318]) ).
fof(f2528,plain,
( ~ sQ58_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2527,f131]) ).
fof(f2529,plain,
( ~ sQ58_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f2528]) ).
fof(f2530,plain,
( sQ67_spl
| ~ sQ20_spl
| e3 != op(op(e1,e0),e1) ),
inference(backward_demodulation,[status(thm)],[f1195,f1390]) ).
fof(f2531,plain,
( sQ68_spl
| ~ sQ20_spl
| e2 != op(op(e1,e0),e1) ),
inference(backward_demodulation,[status(thm)],[f1195,f1394]) ).
fof(f2535,plain,
( sQ84_spl
| ~ sQ20_spl
| e2 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f1195,f1455]) ).
fof(f2544,plain,
( ~ sQ15_spl
| op(e0,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f1178,f106]) ).
fof(f2545,plain,
( ~ sQ0_spl
| e0 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f1130,f104]) ).
fof(f2547,plain,
( ~ sQ15_spl
| e3 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f1178,f98]) ).
fof(f2548,plain,
( ~ sQ15_spl
| ~ sQ63_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f1334,f2547]) ).
fof(f2549,plain,
( ~ sQ15_spl
| ~ sQ63_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2548]) ).
fof(f2550,plain,
( ~ sQ15_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f2549]) ).
fof(f2551,plain,
( ~ sQ15_spl
| e3 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f1178,f97]) ).
fof(f2552,plain,
( ~ sQ15_spl
| ~ sQ47_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f1282,f2551]) ).
fof(f2553,plain,
( ~ sQ15_spl
| ~ sQ47_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2552]) ).
fof(f2554,plain,
( ~ sQ15_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f2553]) ).
fof(f2556,plain,
( ~ sQ42_spl
| e2 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f1266,f119]) ).
fof(f2557,plain,
( ~ sQ38_spl
| e2 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f1253,f118]) ).
fof(f2558,plain,
( ~ sQ28_spl
| ~ sQ31_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f1230,f1221]) ).
fof(f2559,plain,
( ~ sQ28_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2558,f128]) ).
fof(f2560,plain,
( ~ sQ28_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f2559]) ).
fof(f2561,plain,
( ~ sQ42_spl
| e2 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f1266,f95]) ).
fof(f2562,plain,
( ~ sQ10_spl
| e2 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f1162,f92]) ).
fof(f2564,plain,
( ~ sQ0_spl
| e0 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f1130,f103]) ).
fof(f2566,plain,
( ~ sQ10_spl
| e2 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f1162,f91]) ).
fof(f2567,plain,
( ~ sQ10_spl
| ~ sQ42_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f1266,f2566]) ).
fof(f2568,plain,
( ~ sQ10_spl
| ~ sQ42_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2567]) ).
fof(f2569,plain,
( ~ sQ10_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f2568]) ).
fof(f2570,plain,
( ~ sQ0_spl
| e0 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f1130,f79]) ).
fof(f2571,plain,
( ~ sQ10_spl
| e2 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f1162,f90]) ).
fof(f2572,plain,
( ~ sQ0_spl
| e0 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f1130,f102]) ).
fof(f2577,plain,
( ~ sQ51_spl
| e3 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f1295,f120]) ).
fof(f2580,plain,
( ~ sQ51_spl
| op(e2,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f1295,f83]) ).
fof(f2581,plain,
( ~ sQ51_spl
| e3 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f1295,f121]) ).
fof(f2582,plain,
( ~ sQ51_spl
| e3 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f1295,f122]) ).
fof(f2587,plain,
( ~ sQ24_spl
| e0 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f1208,f93]) ).
fof(f2588,plain,
( ~ sQ24_spl
| op(e1,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f1208,f109]) ).
fof(f2590,plain,
( ~ sQ24_spl
| e0 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f1208,f94]) ).
fof(f2591,plain,
( ~ sQ24_spl
| e0 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f1208,f113]) ).
fof(f2592,plain,
( ~ sQ9_spl
| ~ sQ10_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f1162,f1159]) ).
fof(f2593,plain,
( ~ sQ9_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2592,f129]) ).
fof(f2594,plain,
( ~ sQ9_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f2593]) ).
fof(f2605,plain,
( ~ sQ59_spl
| op(e3,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f1321,f123]) ).
fof(f2606,plain,
( ~ sQ59_spl
| e3 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f1321,f125]) ).
fof(f2607,plain,
( ~ sQ0_spl
| ~ sQ2_spl
| e2 = e0 ),
inference(backward_demodulation,[status(thm)],[f1136,f1130]) ).
fof(f2609,plain,
( ~ sQ22_spl
| op(e0,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f1201,f84]) ).
fof(f2613,plain,
( sQ67_spl
| ~ sQ22_spl
| e3 != op(op(e1,e2),e1) ),
inference(forward_demodulation,[status(thm)],[f1201,f1390]) ).
fof(f2617,plain,
( sQ85_spl
| ~ sQ22_spl
| e0 != op(op(e1,e2),e1) ),
inference(forward_demodulation,[status(thm)],[f1201,f1459]) ).
fof(f2618,plain,
( sQ85_spl
| ~ sQ22_spl
| ~ sQ24_spl
| e0 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f1208,f2617]) ).
fof(f2619,plain,
( sQ66_spl
| ~ sQ22_spl
| e0 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f1201,f1387]) ).
fof(f2620,plain,
( sQ66_spl
| ~ sQ22_spl
| ~ sQ24_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f1208,f2619]) ).
fof(f2621,plain,
( sQ66_spl
| ~ sQ22_spl
| ~ sQ24_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2620]) ).
fof(f2622,plain,
( sQ66_spl
| ~ sQ22_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f2621]) ).
fof(f2635,plain,
( ~ sQ63_spl
| op(e3,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f1334,f124]) ).
fof(f2636,plain,
( ~ sQ63_spl
| op(e1,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f1334,f100]) ).
fof(f2638,plain,
( ~ sQ33_spl
| op(e1,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f1237,f81]) ).
fof(f2641,plain,
( ~ sQ24_spl
| ~ sQ26_spl
| e2 = e0 ),
inference(backward_demodulation,[status(thm)],[f1214,f1208]) ).
fof(f2644,plain,
( ~ sQ44_spl
| op(e2,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f1273,f118]) ).
fof(f2645,plain,
( ~ sQ44_spl
| ~ sQ46_spl
| e2 = e0 ),
inference(backward_demodulation,[status(thm)],[f1279,f1273]) ).
fof(f2649,plain,
( ~ sQ13_spl
| e1 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f1172,f96]) ).
fof(f2651,plain,
( sQ69_spl
| ~ sQ41_spl
| e0 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f1263,f1398]) ).
fof(f2652,plain,
( sQ89_spl
| ~ sQ41_spl
| e3 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f1263,f1478]) ).
fof(f2654,plain,
( sQ79_spl
| ~ sQ41_spl
| e0 != op(op(e2,e1),e2) ),
inference(backward_demodulation,[status(thm)],[f1263,f1435]) ).
fof(f2656,plain,
( sQ70_spl
| ~ sQ41_spl
| e3 != op(op(e2,e1),e2) ),
inference(backward_demodulation,[status(thm)],[f1263,f1401]) ).
fof(f2657,plain,
( ~ sQ41_spl
| op(e2,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f1263,f117]) ).
fof(f2659,plain,
( ~ sQ28_spl
| op(e1,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f1221,f110]) ).
fof(f2661,plain,
( sQ84_spl
| ~ sQ20_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f2535,f1187,f1194,f1453]) ).
fof(f2664,plain,
( ~ sQ46_spl
| ~ sQ47_spl
| e3 = e2 ),
inference(backward_demodulation,[status(thm)],[f1282,f1279]) ).
fof(f2670,plain,
( ~ sQ20_spl
| ~ sQ23_spl
| e3 = e0 ),
inference(backward_demodulation,[status(thm)],[f1204,f1195]) ).
fof(f2678,plain,
( sQ78_spl
| ~ sQ40_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f2523,f1236,f1259,f1429]) ).
fof(f2680,plain,
( ~ sQ6_spl
| e2 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f1149,f86]) ).
fof(f2682,plain,
( ~ sQ36_spl
| ~ sQ38_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f1253,f1247]) ).
fof(f2683,plain,
( ~ sQ36_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2682,f127]) ).
fof(f2684,plain,
( ~ sQ36_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f2683]) ).
fof(f2685,plain,
( ~ sQ47_spl
| op(e2,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f1282,f119]) ).
fof(f2687,plain,
( ~ sQ40_spl
| e0 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f1260,f95]) ).
fof(f2688,plain,
( ~ sQ51_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f2577,f1307,f1294]) ).
fof(f2689,plain,
( ~ sQ51_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f2580,f1242,f1294]) ).
fof(f2690,plain,
( ~ sQ51_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f2581,f1320,f1294]) ).
fof(f2691,plain,
( ~ sQ51_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f2582,f1333,f1294]) ).
fof(f2695,plain,
( ~ sQ50_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f2449,f1239,f1291]) ).
fof(f2696,plain,
( ~ sQ50_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f2450,f1187,f1291]) ).
fof(f2697,plain,
( ~ sQ50_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f2451,f1135,f1291]) ).
fof(f2698,plain,
( ~ sQ50_spl
| ~ sQ51_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f1295,f1292]) ).
fof(f2699,plain,
( ~ sQ50_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2698,f131]) ).
fof(f2700,plain,
( ~ sQ50_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f2699]) ).
fof(f2702,plain,
( ~ sQ42_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f2556,f1278,f1265]) ).
fof(f2704,plain,
( sQ87_spl
| ~ sQ1_spl
| e3 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f1133,f1468]) ).
fof(f2708,plain,
( sQ76_spl
| ~ sQ1_spl
| e3 != op(op(e0,e1),e0) ),
inference(backward_demodulation,[status(thm)],[f1133,f1423]) ).
fof(f2709,plain,
( ~ sQ1_spl
| e1 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f1133,f103]) ).
fof(f2729,plain,
( ~ sQ63_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f2635,f1307,f1333]) ).
fof(f2747,plain,
( ~ sQ55_spl
| op(e1,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f1308,f88]) ).
fof(f2749,plain,
( ~ sQ55_spl
| op(e2,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f1308,f89]) ).
fof(f2750,plain,
( ~ sQ0_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f2572,f1142,f1129]) ).
fof(f2751,plain,
( ~ sQ0_spl
| ~ sQ1_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f1133,f1130]) ).
fof(f2752,plain,
( ~ sQ0_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2751,f126]) ).
fof(f2753,plain,
( ~ sQ0_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f2752]) ).
fof(f2754,plain,
( ~ sQ59_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f2605,f1307,f1320]) ).
fof(f2758,plain,
( ~ sQ29_spl
| e1 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f1224,f99]) ).
fof(f2761,plain,
( ~ sQ26_spl
| e2 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f1214,f93]) ).
fof(f2763,plain,
( ~ sQ26_spl
| op(e1,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f1214,f111]) ).
fof(f2764,plain,
( ~ sQ26_spl
| e2 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f1214,f94]) ).
fof(f2770,plain,
( sQ89_spl
| ~ sQ41_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f2652,f1255,f1262,f1476]) ).
fof(f2774,plain,
( ~ sQ41_spl
| op(e2,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f1263,f115]) ).
fof(f2778,plain,
( ~ sQ6_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f2680,f1304,f1148]) ).
fof(f2782,plain,
( ~ sQ6_spl
| e2 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f1149,f105]) ).
fof(f2791,plain,
( ~ sQ39_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f2487,f1203,f1255]) ).
fof(f2793,plain,
( ~ sQ39_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1256,f2749]) ).
fof(f2794,plain,
( ~ sQ39_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f2793]) ).
fof(f2800,plain,
( ~ sQ13_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f2649,f1223,f1171]) ).
fof(f2804,plain,
( ~ sQ24_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f2587,f1259,f1207]) ).
fof(f2805,plain,
( ~ sQ24_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f2588,f1181,f1207]) ).
fof(f2806,plain,
( ~ sQ24_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f2590,f1311,f1207]) ).
fof(f2807,plain,
( ~ sQ24_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2641,f127]) ).
fof(f2808,plain,
( ~ sQ24_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f2807]) ).
fof(f2809,plain,
( ~ sQ38_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f2557,f1278,f1252]) ).
fof(f2813,plain,
( ~ sQ38_spl
| op(e1,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f1253,f87]) ).
fof(f2816,plain,
( ~ sQ49_spl
| op(e2,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f1289,f83]) ).
fof(f2818,plain,
( ~ sQ46_spl
| op(e2,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f1279,f116]) ).
fof(f2820,plain,
( ~ sQ46_spl
| op(e0,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f1279,f97]) ).
fof(f2821,plain,
( ~ sQ38_spl
| e2 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f1253,f117]) ).
fof(f2822,plain,
( sQ89_spl
| ~ sQ40_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f2524,f1242,f1259,f1476]) ).
fof(f2823,plain,
( ~ sQ40_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f2687,f1311,f1259]) ).
fof(f2831,plain,
( sQ70_spl
| ~ sQ40_spl
| e3 != op(op(e2,e0),e2) ),
inference(backward_demodulation,[status(thm)],[f1260,f1401]) ).
fof(f2833,plain,
( ~ sQ52_spl
| e0 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f1299,f124]) ).
fof(f2837,plain,
( ~ sQ45_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f2455,f1327,f1275]) ).
fof(f2838,plain,
( ~ sQ45_spl
| ~ sQ46_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f1279,f1276]) ).
fof(f2839,plain,
( ~ sQ45_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2838,f129]) ).
fof(f2840,plain,
( ~ sQ45_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f2839]) ).
fof(f2843,plain,
( ~ sQ52_spl
| op(e1,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f1299,f88]) ).
fof(f2844,plain,
( ~ sQ52_spl
| e0 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f1299,f123]) ).
fof(f2851,plain,
( ~ sQ8_spl
| op(e0,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f1156,f105]) ).
fof(f2853,plain,
( ~ sQ8_spl
| e0 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f1156,f107]) ).
fof(f2861,plain,
( ~ sQ21_spl
| e1 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f1198,f112]) ).
fof(f2865,plain,
( ~ sQ8_spl
| e0 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f1156,f92]) ).
fof(f2866,plain,
( ~ sQ0_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2564,f1155,f1129]) ).
fof(f2867,plain,
( ~ sQ0_spl
| e0 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f1130,f78]) ).
fof(f2878,plain,
( ~ sQ7_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f2505,f1203,f1151]) ).
fof(f2882,plain,
( ~ sQ61_spl
| op(e0,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f1328,f98]) ).
fof(f2883,plain,
( ~ sQ61_spl
| op(e1,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f1328,f100]) ).
fof(f2888,plain,
( sQ86_spl
| ~ sQ61_spl
| e2 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f1328,f1463]) ).
fof(f2889,plain,
( sQ72_spl
| ~ sQ61_spl
| e0 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f1328,f1409]) ).
fof(f2897,plain,
( ~ sQ19_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f2506,f1203,f1190]) ).
fof(f2907,plain,
( ~ sQ61_spl
| ~ sQ63_spl
| e3 = e1 ),
inference(backward_demodulation,[status(thm)],[f1334,f1328]) ).
fof(f2909,plain,
( ~ sQ63_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f2636,f1229,f1333]) ).
fof(f2916,plain,
( ~ sQ47_spl
| op(e1,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f1282,f99]) ).
fof(f2917,plain,
( ~ sQ47_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f2685,f1268,f1281]) ).
fof(f2924,plain,
( ~ sQ38_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f2821,f1265,f1252]) ).
fof(f2927,plain,
( ~ sQ44_spl
| ~ sQ47_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f1282,f1273]) ).
fof(f2928,plain,
( ~ sQ44_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2927,f128]) ).
fof(f2929,plain,
( ~ sQ44_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f2928]) ).
fof(f2930,plain,
( ~ sQ44_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f2644,f1246,f1272]) ).
fof(f2941,plain,
( sQ70_spl
| ~ sQ43_spl
| e3 != op(op(e2,e3),e2) ),
inference(backward_demodulation,[status(thm)],[f1269,f1401]) ).
fof(f2944,plain,
( sQ78_spl
| ~ sQ43_spl
| e1 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f1269,f1431]) ).
fof(f2947,plain,
( ~ sQ43_spl
| e3 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f1269,f95]) ).
fof(f2950,plain,
( ~ sQ43_spl
| op(e1,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f1269,f93]) ).
fof(f2952,plain,
( ~ sQ9_spl
| e1 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f1159,f90]) ).
fof(f2955,plain,
( ~ sQ25_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1211,f2952]) ).
fof(f2956,plain,
( ~ sQ25_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f2955]) ).
fof(f2957,plain,
( ~ sQ8_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f2851,f1142,f1155]) ).
fof(f2959,plain,
( ~ sQ33_spl
| op(e0,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f1237,f79]) ).
fof(f2961,plain,
( ~ sQ14_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f2438,f1135,f1174]) ).
fof(f2972,plain,
( ~ sQ14_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f2439,f1330,f1174]) ).
fof(f2975,plain,
( ~ sQ49_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f2816,f1236,f1288]) ).
fof(f2978,plain,
( ~ sQ49_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f1289,f121]) ).
fof(f2983,plain,
( ~ sQ29_spl
| op(e1,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f1224,f113]) ).
fof(f2986,plain,
( ~ sQ62_spl
| ~ sQ63_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f1334,f1331]) ).
fof(f2987,plain,
( ~ sQ62_spl
| ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2986,f131]) ).
fof(f2988,plain,
( ~ sQ62_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f2987]) ).
fof(f2997,plain,
( ~ sQ2_spl
| ~ sQ3_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f1139,f1136]) ).
fof(f2998,plain,
( ~ sQ2_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2997,f131]) ).
fof(f2999,plain,
( ~ sQ2_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f2998]) ).
fof(f3010,plain,
( ~ sQ57_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f2460,f1262,f1314]) ).
fof(f3015,plain,
( ~ sQ5_spl
| e1 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f1146,f84]) ).
fof(f3017,plain,
( ~ sQ49_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f2978,f1314,f1288]) ).
fof(f3018,plain,
( sQ70_spl
| ~ sQ41_spl
| ~ sQ36_spl
| e3 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f1247,f2656]) ).
fof(f3023,plain,
( sQ74_spl
| ~ sQ60_spl
| e1 != op(op(e3,e0),e3) ),
inference(forward_demodulation,[status(thm)],[f1325,f1416]) ).
fof(f3024,plain,
( sQ74_spl
| ~ sQ60_spl
| ~ sQ49_spl
| e1 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f1289,f3023]) ).
fof(f3025,plain,
( sQ73_spl
| ~ sQ60_spl
| e2 != op(op(e3,e0),e3) ),
inference(forward_demodulation,[status(thm)],[f1325,f1412]) ).
fof(f3028,plain,
( sQ69_spl
| ~ sQ41_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f2651,f1246,f1262,f1396]) ).
fof(f3030,plain,
( sQ79_spl
| ~ sQ41_spl
| ~ sQ36_spl
| e0 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f1247,f2654]) ).
fof(f3039,plain,
( ~ sQ41_spl
| e1 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f1263,f119]) ).
fof(f3056,plain,
( ~ sQ11_spl
| sQ70_spl
| ~ sQ41_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1165,f3018]) ).
fof(f3057,plain,
( ~ sQ11_spl
| sQ70_spl
| ~ sQ41_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f3056]) ).
fof(f3058,plain,
( ~ sQ11_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f2484,f1268,f1164]) ).
fof(f3059,plain,
( ~ sQ11_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f2483,f1138,f1164]) ).
fof(f3060,plain,
( ~ sQ11_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f2482,f1151,f1164]) ).
fof(f3061,plain,
( ~ sQ5_spl
| e1 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f1146,f86]) ).
fof(f3067,plain,
( sQ86_spl
| ~ sQ60_spl
| e2 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f1325,f1463]) ).
fof(f3069,plain,
( ~ sQ60_spl
| op(e1,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f1325,f100]) ).
fof(f3070,plain,
( ~ sQ60_spl
| op(e2,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f1325,f101]) ).
fof(f3073,plain,
( ~ sQ54_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f2445,f1200,f1304]) ).
fof(f3082,plain,
( ~ sQ7_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f2504,f1138,f1151]) ).
fof(f3083,plain,
( sQ82_spl
| ~ sQ3_spl
| e2 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f1139,f1447]) ).
fof(f3092,plain,
( ~ sQ32_spl
| ~ sQ34_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f1240,f1234]) ).
fof(f3093,plain,
( ~ sQ32_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3092,f127]) ).
fof(f3094,plain,
( ~ sQ32_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f3093]) ).
fof(f3096,plain,
( ~ sQ43_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f2950,f1216,f1268]) ).
fof(f3099,plain,
( ~ sQ46_spl
| op(e1,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f1279,f99]) ).
fof(f3106,plain,
( ~ sQ22_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f2609,f1148,f1200]) ).
fof(f3114,plain,
( sQ88_spl
| ~ sQ22_spl
| e3 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f1201,f1473]) ).
fof(f3122,plain,
( ~ sQ27_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f2478,f1203,f1216]) ).
fof(f3128,plain,
( ~ sQ26_spl
| op(e1,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f1214,f109]) ).
fof(f3133,plain,
( ~ sQ26_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f2763,f1200,f1213]) ).
fof(f3134,plain,
( ~ sQ26_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f2761,f1265,f1213]) ).
fof(f3135,plain,
( ~ sQ56_spl
| op(e3,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f1312,f121]) ).
fof(f3140,plain,
( ~ sQ61_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f2883,f1223,f1327]) ).
fof(f3141,plain,
( sQ72_spl
| ~ sQ61_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f2889,f1298,f1327,f1407]) ).
fof(f3145,plain,
( ~ sQ29_spl
| op(e1,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f1224,f110]) ).
fof(f3152,plain,
( ~ sQ52_spl
| op(e2,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f1299,f89]) ).
fof(f3155,plain,
( ~ sQ52_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f2844,f1311,f1298]) ).
fof(f3158,plain,
( ~ sQ52_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f2833,f1324,f1298]) ).
fof(f3160,plain,
( ~ sQ50_spl
| e2 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f1292,f122]) ).
fof(f3169,plain,
( ~ sQ16_spl
| e0 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f1182,f81]) ).
fof(f3170,plain,
( ~ sQ52_spl
| op(e3,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f1299,f120]) ).
fof(f3176,plain,
( sQ88_spl
| ~ sQ22_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f3114,f1216,f1200,f1471]) ).
fof(f3183,plain,
( ~ sQ11_spl
| e3 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f1165,f107]) ).
fof(f3190,plain,
( ~ sQ42_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f2561,f1317,f1265]) ).
fof(f3193,plain,
( ~ sQ39_spl
| op(e2,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f1256,f114]) ).
fof(f3203,plain,
( ~ sQ32_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1234,f3169]) ).
fof(f3204,plain,
( ~ sQ32_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f3203]) ).
fof(f3207,plain,
( ~ sQ13_spl
| op(e0,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f1172,f104]) ).
fof(f3213,plain,
( sQ79_spl
| ~ sQ41_spl
| ~ sQ39_spl
| e0 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f1256,f2654]) ).
fof(f3214,plain,
( sQ86_spl
| ~ sQ60_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f3067,f1291,f1324,f1461]) ).
fof(f3221,plain,
( ~ sQ41_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f2774,f1236,f1262]) ).
fof(f3222,plain,
( ~ sQ0_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f2570,f1233,f1129]) ).
fof(f3234,plain,
( ~ sQ61_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f2882,f1171,f1327]) ).
fof(f3236,plain,
( sQ73_spl
| ~ sQ61_spl
| e2 != op(op(e3,e1),e3) ),
inference(backward_demodulation,[status(thm)],[f1328,f1412]) ).
fof(f3241,plain,
( ~ sQ61_spl
| ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2907,f130]) ).
fof(f3242,plain,
( ~ sQ61_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f3241]) ).
fof(f3259,plain,
( ~ sQ33_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f2959,f1132,f1236]) ).
fof(f3262,plain,
( ~ sQ53_spl
| e1 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f1302,f124]) ).
fof(f3263,plain,
( ~ sQ53_spl
| op(e3,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f1302,f120]) ).
fof(f3264,plain,
( ~ sQ53_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f1302,f123]) ).
fof(f3266,plain,
( ~ sQ53_spl
| op(e1,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f1302,f88]) ).
fof(f3268,plain,
( ~ sQ13_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f3207,f1132,f1171]) ).
fof(f3272,plain,
( ~ sQ62_spl
| op(e2,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f1331,f101]) ).
fof(f3275,plain,
( sQ80_spl
| ~ sQ62_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f1331,f1439]) ).
fof(f3301,plain,
( ~ sQ2_spl
| e2 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f1136,f102]) ).
fof(f3302,plain,
( sQ83_spl
| ~ sQ2_spl
| e1 != op(op(e0,e2),e0) ),
inference(backward_demodulation,[status(thm)],[f1136,f1451]) ).
fof(f3321,plain,
( ~ sQ11_spl
| e3 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f1165,f92]) ).
fof(f3322,plain,
( ~ sQ11_spl
| e3 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f1165,f90]) ).
fof(f3323,plain,
( ~ sQ8_spl
| ~ sQ11_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f1165,f1156]) ).
fof(f3324,plain,
( ~ sQ8_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3323,f128]) ).
fof(f3325,plain,
( ~ sQ8_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f3324]) ).
fof(f3327,plain,
( ~ sQ33_spl
| e1 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f1237,f114]) ).
fof(f3340,plain,
( ~ sQ5_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f3061,f1301,f1145]) ).
fof(f3341,plain,
( ~ sQ5_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f3015,f1197,f1145]) ).
fof(f3348,plain,
( ~ sQ53_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f3262,f1327,f1301]) ).
fof(f3349,plain,
( ~ sQ53_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f3264,f1314,f1301]) ).
fof(f3350,plain,
( ~ sQ53_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f3266,f1197,f1301]) ).
fof(f3356,plain,
( ~ sQ43_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f2947,f1320,f1268]) ).
fof(f3379,plain,
( ~ sQ59_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f2606,f1333,f1320]) ).
fof(f3386,plain,
( ~ sQ50_spl
| e2 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f1292,f120]) ).
fof(f3391,plain,
( ~ sQ3_spl
| e3 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f1139,f79]) ).
fof(f3400,plain,
( ~ sQ52_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f3152,f1246,f1298]) ).
fof(f3402,plain,
( ~ sQ52_spl
| op(e0,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f1299,f86]) ).
fof(f3411,plain,
( ~ sQ28_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f2659,f1181,f1220]) ).
fof(f3419,plain,
( sQ73_spl
| ~ sQ61_spl
| ~ sQ52_spl
| e2 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f1299,f3236]) ).
fof(f3431,plain,
( ~ sQ0_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f2867,f1181,f1129]) ).
fof(f3436,plain,
( ~ sQ0_spl
| ~ sQ3_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f1139,f1130]) ).
fof(f3437,plain,
( ~ sQ0_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3436,f128]) ).
fof(f3438,plain,
( ~ sQ0_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f3437]) ).
fof(f3442,plain,
( ~ sQ40_spl
| op(e2,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f1260,f117]) ).
fof(f3445,plain,
( ~ sQ40_spl
| op(e0,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f1260,f91]) ).
fof(f3464,plain,
( ~ sQ33_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f3327,f1249,f1236]) ).
fof(f3466,plain,
( ~ sQ33_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f2638,f1184,f1236]) ).
fof(f3479,plain,
( sQ70_spl
| ~ sQ40_spl
| ~ sQ33_spl
| e3 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f1237,f2831]) ).
fof(f3480,plain,
( ~ sQ6_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2782,f1161,f1148]) ).
fof(f3489,plain,
( ~ sQ52_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f3402,f1142,f1298]) ).
fof(f3497,plain,
( ~ sQ30_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f2433,f1330,f1226]) ).
fof(f3499,plain,
( ~ sQ12_spl
| e0 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f1169,f98]) ).
fof(f3504,plain,
( ~ sQ25_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f1211,f94]) ).
fof(f3518,plain,
( ~ sQ0_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f2545,f1168,f1129]) ).
fof(f3520,plain,
( ~ sQ0_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2607,f127]) ).
fof(f3521,plain,
( ~ sQ0_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f3520]) ).
fof(f3526,plain,
( ~ sQ37_spl
| op(e1,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f1250,f87]) ).
fof(f3531,plain,
( ~ sQ12_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f3499,f1324,f1168]) ).
fof(f3532,plain,
( ~ sQ25_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f3504,f1314,f1210]) ).
fof(f3539,plain,
( ~ sQ60_spl
| op(e3,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f1325,f122]) ).
fof(f3540,plain,
( sQ80_spl
| ~ sQ60_spl
| e1 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f1325,f1439]) ).
fof(f3541,plain,
( sQ74_spl
| ~ sQ60_spl
| e1 != op(op(e3,e0),e3) ),
inference(backward_demodulation,[status(thm)],[f1325,f1416]) ).
fof(f3547,plain,
( ~ sQ16_spl
| e0 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f1182,f82]) ).
fof(f3552,plain,
( ~ sQ4_spl
| e0 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f1143,f84]) ).
fof(f3556,plain,
( ~ sQ50_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f3386,f1304,f1291]) ).
fof(f3558,plain,
( ~ sQ37_spl
| e1 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f1250,f89]) ).
fof(f3561,plain,
( ~ sQ29_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f3145,f1184,f1223]) ).
fof(f3570,plain,
( ~ sQ29_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f2983,f1210,f1223]) ).
fof(f3573,plain,
( ~ sQ3_spl
| e3 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f1139,f80]) ).
fof(f3577,plain,
( sQ75_spl
| ~ sQ3_spl
| e1 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f1139,f1420]) ).
fof(f3584,plain,
( ~ sQ3_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f3391,f1242,f1138]) ).
fof(f3588,plain,
( ~ sQ50_spl
| e2 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f1292,f121]) ).
fof(f3607,plain,
( sQ85_spl
| ~ sQ23_spl
| e0 != op(op(e1,e3),e1) ),
inference(backward_demodulation,[status(thm)],[f1204,f1459]) ).
fof(f3630,plain,
( ~ sQ5_spl
| e1 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f1146,f85]) ).
fof(f3631,plain,
( ~ sQ5_spl
| ~ sQ37_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f1250,f3630]) ).
fof(f3632,plain,
( ~ sQ5_spl
| ~ sQ37_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3631]) ).
fof(f3633,plain,
( ~ sQ5_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f3632]) ).
fof(f3634,plain,
( ~ sQ26_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f3128,f1187,f1213]) ).
fof(f3639,plain,
( sQ71_spl
| ~ sQ40_spl
| ~ sQ35_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f1243,f2521]) ).
fof(f3651,plain,
( ~ sQ41_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f2657,f1249,f1262]) ).
fof(f3663,plain,
( ~ sQ40_spl
| ~ sQ41_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f1263,f1260]) ).
fof(f3664,plain,
( ~ sQ40_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3663,f126]) ).
fof(f3665,plain,
( ~ sQ40_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f3664]) ).
fof(f3666,plain,
( ~ sQ23_spl
| e3 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f1204,f112]) ).
fof(f3672,plain,
( ~ sQ11_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f3321,f1320,f1164]) ).
fof(f3679,plain,
( ~ sQ11_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f3183,f1177,f1164]) ).
fof(f3681,plain,
( ~ sQ21_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f2861,f1223,f1197]) ).
fof(f3682,plain,
( ~ sQ21_spl
| ~ sQ23_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f1204,f1198]) ).
fof(f3683,plain,
( ~ sQ21_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3682,f130]) ).
fof(f3684,plain,
( ~ sQ21_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f3683]) ).
fof(f3700,plain,
( ~ sQ42_spl
| op(e2,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f1266,f115]) ).
fof(f3718,plain,
( ~ sQ36_spl
| op(e0,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f1247,f85]) ).
fof(f3721,plain,
( ~ sQ29_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f2758,f1275,f1223]) ).
fof(f3725,plain,
( ~ sQ36_spl
| op(e1,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f1247,f87]) ).
fof(f3726,plain,
( ~ sQ36_spl
| op(e2,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f1247,f114]) ).
fof(f3729,plain,
( ~ sQ57_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f2462,f1158,f1314]) ).
fof(f3739,plain,
( ~ sQ15_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f1178,f104]) ).
fof(f3742,plain,
( ~ sQ15_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f2544,f1151,f1177]) ).
fof(f3744,plain,
( ~ sQ45_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f2454,f1236,f1275]) ).
fof(f3747,plain,
( sQ74_spl
| ~ sQ60_spl
| ~ sQ50_spl
| e1 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f1292,f3541]) ).
fof(f3754,plain,
( ~ sQ50_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f3160,f1330,f1291]) ).
fof(f3759,plain,
( sQ67_spl
| ~ sQ22_spl
| ~ sQ24_spl
| e3 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f1208,f2613]) ).
fof(f3764,plain,
( sQ85_spl
| ~ sQ22_spl
| ~ sQ24_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f2618,f1142,f1207,f1200,f1457]) ).
fof(f3780,plain,
( ~ sQ66_spl
| ~ sQ22_spl
| e0 = op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f1201,f1386]) ).
fof(f3785,plain,
( ~ sQ36_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f3718,f1142,f1246]) ).
fof(f3786,plain,
( sQ75_spl
| ~ sQ3_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f3577,f1171,f1138,f1418]) ).
fof(f3794,plain,
( ~ sQ24_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f2591,f1220,f1207]) ).
fof(f3796,plain,
( ~ sQ60_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f3069,f1220,f1324]) ).
fof(f3798,plain,
( ~ sQ62_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f3272,f1278,f1330]) ).
fof(f3800,plain,
( ~ sQ60_spl
| ~ sQ62_spl
| e2 = e0 ),
inference(backward_demodulation,[status(thm)],[f1331,f1325]) ).
fof(f3810,plain,
( ~ sQ3_spl
| e3 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f1139,f78]) ).
fof(f3825,plain,
( ~ sQ32_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1234,f3726]) ).
fof(f3826,plain,
( ~ sQ32_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f3825]) ).
fof(f3828,plain,
( ~ sQ4_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f3552,f1194,f1142]) ).
fof(f3840,plain,
( ~ sQ46_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f3099,f1226,f1278]) ).
fof(f3841,plain,
( ~ sQ46_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f2818,f1239,f1278]) ).
fof(f3850,plain,
( ~ sQ10_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f2571,f1213,f1161]) ).
fof(f3854,plain,
( ~ sQ3_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f3810,f1190,f1138]) ).
fof(f3860,plain,
( sQ76_spl
| ~ sQ1_spl
| ~ sQ4_spl
| e3 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f1143,f2708]) ).
fof(f3861,plain,
( sQ76_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ3_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f1139,f3860]) ).
fof(f3862,plain,
( sQ76_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ3_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3861]) ).
fof(f3863,plain,
( sQ76_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f3862]) ).
fof(f3873,plain,
( ~ sQ60_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f3539,f1285,f1324]) ).
fof(f3875,plain,
( ~ sQ16_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f3547,f1285,f1181]) ).
fof(f3889,plain,
( ~ sQ37_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f3558,f1301,f1249]) ).
fof(f3900,plain,
( ~ sQ1_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f2709,f1158,f1132]) ).
fof(f3912,plain,
( ~ sQ48_spl
| op(e2,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f1286,f83]) ).
fof(f3940,plain,
( ~ sQ43_spl
| op(e2,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f1269,f115]) ).
fof(f3947,plain,
( ~ sQ36_spl
| ~ sQ37_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f1250,f1247]) ).
fof(f3948,plain,
( ~ sQ36_spl
| ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3947,f126]) ).
fof(f3949,plain,
( ~ sQ36_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f3948]) ).
fof(f3950,plain,
( ~ sQ2_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f3301,f1148,f1135]) ).
fof(f3956,plain,
( ~ sQ23_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f3666,f1229,f1203]) ).
fof(f3965,plain,
( sQ84_spl
| ~ sQ23_spl
| e2 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f1204,f1455]) ).
fof(f3974,plain,
( ~ sQ62_spl
| op(e3,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f1331,f125]) ).
fof(f3979,plain,
( sQ80_spl
| ~ sQ62_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f3275,f1314,f1330,f1437]) ).
fof(f3991,plain,
( sQ83_spl
| ~ sQ2_spl
| ~ sQ11_spl
| e1 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f1165,f3302]) ).
fof(f4006,plain,
( ~ sQ2_spl
| e2 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f1136,f78]) ).
fof(f4011,plain,
( ~ sQ47_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f2916,f1229,f1281]) ).
fof(f4019,plain,
( ~ sQ31_spl
| op(e0,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f1230,f96]) ).
fof(f4020,plain,
( ~ sQ31_spl
| op(e1,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f1230,f110]) ).
fof(f4026,plain,
( ~ sQ40_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f3442,f1246,f1259]) ).
fof(f4028,plain,
( sQ70_spl
| ~ sQ40_spl
| ~ sQ33_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f3479,f1216,f1236,f1259,f1399]) ).
fof(f4039,plain,
( ~ sQ40_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f3445,f1155,f1259]) ).
fof(f4064,plain,
( ~ sQ60_spl
| ~ sQ61_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f1328,f1325]) ).
fof(f4065,plain,
( ~ sQ60_spl
| ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4064,f126]) ).
fof(f4066,plain,
( ~ sQ60_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f4065]) ).
fof(f4091,plain,
( ~ sQ8_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f2865,f1311,f1155]) ).
fof(f4097,plain,
( ~ sQ8_spl
| e0 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f1156,f90]) ).
fof(f4103,plain,
( ~ sQ55_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f2747,f1203,f1307]) ).
fof(f4104,plain,
( ~ sQ55_spl
| op(e0,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f1308,f86]) ).
fof(f4116,plain,
( ~ sQ41_spl
| op(e1,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f1263,f93]) ).
fof(f4122,plain,
( sQ79_spl
| ~ sQ41_spl
| ~ sQ36_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f3030,f1155,f1246,f1262,f1433]) ).
fof(f4145,plain,
( ~ sQ53_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f3263,f1288,f1301]) ).
fof(f4161,plain,
( ~ sQ15_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f3739,f1138,f1177]) ).
fof(f4178,plain,
( ~ sQ41_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f4116,f1210,f1262]) ).
fof(f4195,plain,
( ~ sQ3_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f3573,f1294,f1138]) ).
fof(f4207,plain,
( ~ sQ25_spl
| op(e1,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f1211,f109]) ).
fof(f4217,plain,
( ~ sQ31_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f4019,f1177,f1229]) ).
fof(f4222,plain,
( ~ sQ18_spl
| e2 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f1188,f108]) ).
fof(f4224,plain,
( ~ sQ18_spl
| e2 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f1188,f110]) ).
fof(f4236,plain,
( sQ73_spl
| ~ sQ60_spl
| ~ sQ49_spl
| e2 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f1289,f3025]) ).
fof(f4240,plain,
( sQ74_spl
| ~ sQ60_spl
| ~ sQ49_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f3024,f1223,f1288,f1324,f1414]) ).
fof(f4272,plain,
( ~ sQ41_spl
| op(e0,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f1263,f91]) ).
fof(f4274,plain,
( ~ sQ43_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f3940,f1242,f1268]) ).
fof(f4275,plain,
( ~ sQ41_spl
| ~ sQ43_spl
| e3 = e1 ),
inference(backward_demodulation,[status(thm)],[f1269,f1263]) ).
fof(f4283,plain,
( sQ70_spl
| ~ sQ43_spl
| ~ sQ46_spl
| e3 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f1279,f2941]) ).
fof(f4284,plain,
( sQ70_spl
| ~ sQ43_spl
| ~ sQ46_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f1269,f4283]) ).
fof(f4285,plain,
( sQ70_spl
| ~ sQ43_spl
| ~ sQ46_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4284]) ).
fof(f4286,plain,
( sQ70_spl
| ~ sQ43_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f4285]) ).
fof(f4299,plain,
( ~ sQ62_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f3974,f1317,f1330]) ).
fof(f4304,plain,
( ~ sQ60_spl
| ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3800,f127]) ).
fof(f4305,plain,
( ~ sQ60_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f4304]) ).
fof(f4307,plain,
( ~ sQ60_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f3070,f1272,f1324]) ).
fof(f4328,plain,
( ~ sQ1_spl
| e1 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f1133,f102]) ).
fof(f4346,plain,
( ~ sQ39_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f3193,f1242,f1255]) ).
fof(f4348,plain,
( sQ79_spl
| ~ sQ41_spl
| ~ sQ39_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f3213,f1311,f1255,f1262,f1433]) ).
fof(f4350,plain,
( sQ82_spl
| ~ sQ1_spl
| e2 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f1133,f1447]) ).
fof(f4381,plain,
( ~ sQ44_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2645,f127]) ).
fof(f4382,plain,
( ~ sQ44_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f4381]) ).
fof(f4386,plain,
( ~ sQ10_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f2562,f1317,f1161]) ).
fof(f4402,plain,
( sQ83_spl
| ~ sQ1_spl
| e1 != op(op(e0,e1),e0) ),
inference(forward_demodulation,[status(thm)],[f1133,f1451]) ).
fof(f4403,plain,
( sQ83_spl
| ~ sQ1_spl
| ~ sQ4_spl
| e1 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f1143,f4402]) ).
fof(f4404,plain,
( sQ83_spl
| ~ sQ1_spl
| ~ sQ4_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f1133,f4403]) ).
fof(f4405,plain,
( sQ83_spl
| ~ sQ1_spl
| ~ sQ4_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4404]) ).
fof(f4406,plain,
( sQ83_spl
| ~ sQ1_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f4405]) ).
fof(f4407,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| e2 = e1 ),
inference(backward_demodulation,[status(thm)],[f1136,f1133]) ).
fof(f4408,plain,
( ~ sQ2_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f4006,f1187,f1135]) ).
fof(f4420,plain,
( ~ sQ54_spl
| e2 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f1305,f123]) ).
fof(f4421,plain,
( ~ sQ54_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f2441,f1330,f1304]) ).
fof(f4422,plain,
( sQ75_spl
| ~ sQ2_spl
| e1 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f1136,f1420]) ).
fof(f4424,plain,
( ~ sQ8_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f2853,f1168,f1155]) ).
fof(f4428,plain,
( ~ sQ1_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f4328,f1145,f1132]) ).
fof(f4454,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4407,f129]) ).
fof(f4455,plain,
( ~ sQ1_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f4454]) ).
fof(f4456,plain,
( ~ sQ25_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f4207,f1184,f1210]) ).
fof(f4459,plain,
( ~ sQ25_spl
| op(e1,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f1211,f111]) ).
fof(f4467,plain,
( sQ67_spl
| ~ sQ22_spl
| e3 != op(op(e1,e2),e1) ),
inference(backward_demodulation,[status(thm)],[f1201,f1390]) ).
fof(f4482,plain,
( ~ sQ11_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f3322,f1216,f1164]) ).
fof(f4517,plain,
( sQ81_spl
| ~ sQ61_spl
| e0 != op(op(e3,e1),e3) ),
inference(backward_demodulation,[status(thm)],[f1328,f1443]) ).
fof(f4543,plain,
( ~ sQ46_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f2820,f1174,f1278]) ).
fof(f4547,plain,
( ~ sQ46_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2664,f131]) ).
fof(f4548,plain,
( ~ sQ46_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f4547]) ).
fof(f4569,plain,
( sQ82_spl
| ~ sQ1_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f4350,f1148,f1132,f1445]) ).
fof(f4572,plain,
( sQ71_spl
| ~ sQ43_spl
| e1 != op(op(e2,e3),e2) ),
inference(backward_demodulation,[status(thm)],[f1269,f1405]) ).
fof(f4575,plain,
( ~ sQ43_spl
| op(e2,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f1269,f117]) ).
fof(f4579,plain,
( sQ78_spl
| ~ sQ43_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f2944,f1275,f1268,f1429]) ).
fof(f4613,plain,
( ~ sQ20_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2670,f128]) ).
fof(f4614,plain,
( ~ sQ20_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f4613]) ).
fof(f4621,plain,
( sQ87_spl
| ~ sQ1_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f2704,f1151,f1132,f1466]) ).
fof(f4626,plain,
( ~ sQ45_spl
| op(e2,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f1276,f118]) ).
fof(f4635,plain,
( ~ sQ18_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f4222,f1200,f1187]) ).
fof(f4640,plain,
( ~ sQ38_spl
| op(e0,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f1253,f85]) ).
fof(f4643,plain,
( ~ sQ38_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f2813,f1200,f1252]) ).
fof(f4655,plain,
( sQ81_spl
| ~ sQ62_spl
| e0 != op(op(e3,e2),e3) ),
inference(backward_demodulation,[status(thm)],[f1331,f1443]) ).
fof(f4677,plain,
( ~ sQ52_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f3170,f1285,f1298]) ).
fof(f4680,plain,
( ~ sQ48_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f3912,f1233,f1285]) ).
fof(f4689,plain,
( ~ sQ38_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f4640,f1148,f1252]) ).
fof(f4715,plain,
( ~ sQ8_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f4097,f1207,f1155]) ).
fof(f4738,plain,
( ~ sQ37_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f3526,f1197,f1249]) ).
fof(f4748,plain,
( ~ sQ44_spl
| op(e0,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f1273,f97]) ).
fof(f4766,plain,
( ~ sQ2_spl
| e2 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f1136,f79]) ).
fof(f4774,plain,
( sQ83_spl
| ~ sQ2_spl
| ~ sQ11_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f3991,f1288,f1164,f1135,f1449]) ).
fof(f4780,plain,
( ~ sQ25_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f4459,f1197,f1210]) ).
fof(f4809,plain,
( ~ sQ42_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f3700,f1239,f1265]) ).
fof(f4814,plain,
( ~ sQ34_spl
| e2 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f1240,f114]) ).
fof(f4816,plain,
( ~ sQ34_spl
| op(e1,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f1240,f81]) ).
fof(f4830,plain,
( ~ sQ2_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f4766,f1239,f1135]) ).
fof(f4841,plain,
( ~ sQ36_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f3725,f1194,f1246]) ).
fof(f4876,plain,
( sQ67_spl
| ~ sQ22_spl
| ~ sQ66_spl
| e3 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f3780,f4467]) ).
fof(f4881,plain,
( ~ sQ33_spl
| ~ sQ34_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f1240,f1237]) ).
fof(f4882,plain,
( ~ sQ33_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4881,f129]) ).
fof(f4883,plain,
( ~ sQ33_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f4882]) ).
fof(f4894,plain,
( sQ81_spl
| ~ sQ62_spl
| ~ sQ57_spl
| e0 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f1315,f4655]) ).
fof(f4915,plain,
( ~ sQ55_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f4104,f1151,f1307]) ).
fof(f4927,plain,
( ~ sQ80_spl
| ~ sQ62_spl
| e1 = op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f1331,f1438]) ).
fof(f4929,plain,
( sQ72_spl
| ~ sQ62_spl
| e0 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f1331,f1409]) ).
fof(f4931,plain,
( ~ sQ34_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f4814,f1252,f1239]) ).
fof(f4933,plain,
( ~ sQ34_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f4816,f1187,f1239]) ).
fof(f4938,plain,
( ~ sQ40_spl
| e0 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f1260,f119]) ).
fof(f4945,plain,
( sQ71_spl
| ~ sQ40_spl
| ~ sQ35_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f3639,f1314,f1242,f1259,f1403]) ).
fof(f4975,plain,
( ~ sQ20_spl
| e0 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f1195,f111]) ).
fof(f5056,plain,
( ~ sQ34_spl
| ~ sQ35_spl
| e3 = e2 ),
inference(backward_demodulation,[status(thm)],[f1243,f1240]) ).
fof(f5093,plain,
( ~ sQ43_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f4575,f1255,f1268]) ).
fof(f5128,plain,
( ~ sQ32_spl
| ~ sQ33_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f1237,f1234]) ).
fof(f5129,plain,
( ~ sQ32_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5128,f126]) ).
fof(f5130,plain,
( ~ sQ32_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f5129]) ).
fof(f5132,plain,
( ~ sQ44_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f4748,f1168,f1272]) ).
fof(f5141,plain,
( ~ sQ1_spl
| e1 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f1133,f80]) ).
fof(f5152,plain,
( ~ sQ61_spl
| ~ sQ62_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f1331,f1328]) ).
fof(f5153,plain,
( ~ sQ61_spl
| ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5152,f129]) ).
fof(f5154,plain,
( ~ sQ61_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f5153]) ).
fof(f5162,plain,
( ~ sQ31_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f4020,f1190,f1229]) ).
fof(f5165,plain,
( sQ73_spl
| ~ sQ61_spl
| ~ sQ52_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f3419,f1174,f1298,f1327,f1410]) ).
fof(f5167,plain,
( ~ sQ40_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f4938,f1272,f1259]) ).
fof(f5182,plain,
( sQ81_spl
| ~ sQ62_spl
| ~ sQ80_spl
| e0 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f4927,f4655]) ).
fof(f5196,plain,
( ~ sQ1_spl
| e1 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f1133,f78]) ).
fof(f5245,plain,
( ~ sQ12_spl
| op(e0,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f1169,f106]) ).
fof(f5353,plain,
( sQ76_spl
| ~ sQ1_spl
| e3 != op(op(e0,e1),e0) ),
inference(forward_demodulation,[status(thm)],[f1133,f1423]) ).
fof(f5354,plain,
( sQ76_spl
| ~ sQ1_spl
| ~ sQ6_spl
| e3 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f1149,f5353]) ).
fof(f5355,plain,
( sQ76_spl
| ~ sQ1_spl
| ~ sQ6_spl
| ~ sQ35_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f1243,f5354]) ).
fof(f5356,plain,
( sQ76_spl
| ~ sQ1_spl
| ~ sQ6_spl
| ~ sQ35_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5355]) ).
fof(f5357,plain,
( sQ76_spl
| ~ sQ1_spl
| ~ sQ6_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f5356]) ).
fof(f5369,plain,
( ~ sQ41_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f4272,f1158,f1262]) ).
fof(f5370,plain,
( ~ sQ41_spl
| ~ sQ42_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f1266,f1263]) ).
fof(f5371,plain,
( ~ sQ41_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5370,f129]) ).
fof(f5372,plain,
( ~ sQ41_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f5371]) ).
fof(f5463,plain,
( sQ67_spl
| ~ sQ22_spl
| ~ sQ24_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f3759,f1151,f1207,f1200,f1388]) ).
fof(f5547,plain,
( sQ67_spl
| ~ sQ22_spl
| ~ sQ66_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f4876,f1151,f1385,f1200,f1388]) ).
fof(f5585,plain,
( sQ75_spl
| ~ sQ2_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f4422,f1158,f1135,f1418]) ).
fof(f5630,plain,
( ~ sQ12_spl
| e0 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f1169,f96]) ).
fof(f5657,plain,
( sQ81_spl
| ~ sQ61_spl
| ~ sQ54_spl
| e0 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f1305,f4517]) ).
fof(f5695,plain,
( sQ76_spl
| ~ sQ2_spl
| e3 != op(op(e0,e2),e0) ),
inference(forward_demodulation,[status(thm)],[f1136,f1423]) ).
fof(f5696,plain,
( sQ76_spl
| ~ sQ2_spl
| ~ sQ9_spl
| e3 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f1159,f5695]) ).
fof(f5697,plain,
( sQ76_spl
| ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ19_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f1191,f5696]) ).
fof(f5698,plain,
( sQ76_spl
| ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ19_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5697]) ).
fof(f5699,plain,
( sQ76_spl
| ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f5698]) ).
fof(f5708,plain,
( sQ74_spl
| ~ sQ60_spl
| ~ sQ50_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f3747,f1275,f1291,f1324,f1414]) ).
fof(f5709,plain,
( ~ sQ1_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f5196,f1184,f1132]) ).
fof(f5733,plain,
( ~ sQ45_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f4626,f1249,f1275]) ).
fof(f5791,plain,
( ~ sQ32_spl
| e0 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f1234,f116]) ).
fof(f5859,plain,
( sQ77_spl
| ~ sQ1_spl
| e2 != op(op(e0,e1),e0) ),
inference(forward_demodulation,[status(thm)],[f1133,f1427]) ).
fof(f5861,plain,
( ~ sQ32_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f5791,f1272,f1233]) ).
fof(f5862,plain,
( ~ sQ41_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4275,f130]) ).
fof(f5863,plain,
( ~ sQ41_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f5862]) ).
fof(f5871,plain,
( sQ88_spl
| ~ sQ20_spl
| e3 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f1195,f1473]) ).
fof(f5888,plain,
( sQ72_spl
| ~ sQ62_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f4929,f1311,f1330,f1407]) ).
fof(f6029,plain,
( sQ67_spl
| ~ sQ20_spl
| ~ sQ18_spl
| e3 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f1188,f2530]) ).
fof(f6081,plain,
( sQ74_spl
| ~ sQ62_spl
| e1 != op(op(e3,e2),e3) ),
inference(forward_demodulation,[status(thm)],[f1331,f1416]) ).
fof(f6082,plain,
( sQ74_spl
| ~ sQ62_spl
| ~ sQ56_spl
| e1 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f1312,f6081]) ).
fof(f6083,plain,
( sQ74_spl
| ~ sQ62_spl
| ~ sQ56_spl
| ~ sQ13_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f1172,f6082]) ).
fof(f6084,plain,
( sQ74_spl
| ~ sQ62_spl
| ~ sQ56_spl
| ~ sQ13_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6083]) ).
fof(f6085,plain,
( sQ74_spl
| ~ sQ62_spl
| ~ sQ56_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f6084]) ).
fof(f6106,plain,
( sQ86_spl
| ~ sQ61_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f2888,f1304,f1327,f1461]) ).
fof(f6200,plain,
( ~ sQ17_spl
| e1 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f1185,f82]) ).
fof(f6237,plain,
( ~ sQ26_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f2764,f1317,f1213]) ).
fof(f6271,plain,
( ~ sQ54_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f4420,f1317,f1304]) ).
fof(f6298,plain,
( ~ sQ17_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f6200,f1288,f1184]) ).
fof(f6322,plain,
( ~ sQ12_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f5630,f1220,f1168]) ).
fof(f6324,plain,
( ~ sQ12_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f5245,f1142,f1168]) ).
fof(f6371,plain,
( sQ66_spl
| ~ sQ23_spl
| e0 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f1204,f1387]) ).
fof(f6372,plain,
( sQ66_spl
| ~ sQ23_spl
| ~ sQ28_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f1221,f6371]) ).
fof(f6373,plain,
( sQ66_spl
| ~ sQ23_spl
| ~ sQ28_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6372]) ).
fof(f6374,plain,
( sQ66_spl
| ~ sQ23_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f6373]) ).
fof(f6375,plain,
( sQ81_spl
| ~ sQ61_spl
| ~ sQ54_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f5657,f1272,f1304,f1327,f1441]) ).
fof(f6561,plain,
( sQ87_spl
| ~ sQ2_spl
| e3 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f1136,f1468]) ).
fof(f6617,plain,
( sQ84_spl
| ~ sQ23_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f3965,f1226,f1203,f1453]) ).
fof(f6728,plain,
( sQ87_spl
| ~ sQ2_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f6561,f1164,f1135,f1466]) ).
fof(f6755,plain,
( sQ85_spl
| ~ sQ23_spl
| ~ sQ30_spl
| e0 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f1227,f3607]) ).
fof(f6757,plain,
( ~ sQ84_spl
| ~ sQ23_spl
| e2 = op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f1204,f1454]) ).
fof(f6775,plain,
( sQ82_spl
| ~ sQ3_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f3083,f1174,f1138,f1445]) ).
fof(f6858,plain,
( sQ85_spl
| ~ sQ22_spl
| ~ sQ27_spl
| e0 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f1217,f2617]) ).
fof(f6896,plain,
( sQ83_spl
| ~ sQ3_spl
| e1 != op(op(e0,e3),e0) ),
inference(forward_demodulation,[status(thm)],[f1139,f1451]) ).
fof(f6897,plain,
( sQ83_spl
| ~ sQ3_spl
| ~ sQ14_spl
| e1 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f1175,f6896]) ).
fof(f6898,plain,
( sQ83_spl
| ~ sQ3_spl
| ~ sQ14_spl
| ~ sQ33_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f1237,f6897]) ).
fof(f6899,plain,
( sQ83_spl
| ~ sQ3_spl
| ~ sQ14_spl
| ~ sQ33_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6898]) ).
fof(f6900,plain,
( sQ83_spl
| ~ sQ3_spl
| ~ sQ14_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f6899]) ).
fof(f7072,plain,
( sQ68_spl
| ~ sQ23_spl
| e2 != op(op(e1,e3),e1) ),
inference(forward_demodulation,[status(thm)],[f1204,f1394]) ).
fof(f7073,plain,
( sQ68_spl
| ~ sQ23_spl
| ~ sQ28_spl
| e2 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f1221,f7072]) ).
fof(f7074,plain,
( sQ68_spl
| ~ sQ23_spl
| ~ sQ28_spl
| ~ sQ6_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f1149,f7073]) ).
fof(f7075,plain,
( sQ68_spl
| ~ sQ23_spl
| ~ sQ28_spl
| ~ sQ6_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7074]) ).
fof(f7076,plain,
( sQ68_spl
| ~ sQ23_spl
| ~ sQ28_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f7075]) ).
fof(f7099,plain,
( ~ sQ52_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f2843,f1194,f1298]) ).
fof(f7117,plain,
( ~ sQ20_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f4975,f1207,f1194]) ).
fof(f7134,plain,
( sQ71_spl
| ~ sQ43_spl
| ~ sQ44_spl
| e1 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f1273,f4572]) ).
fof(f7147,plain,
( ~ sQ50_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f3588,f1317,f1291]) ).
fof(f7194,plain,
( ~ sQ41_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f3039,f1275,f1262]) ).
fof(f7196,plain,
( sQ80_spl
| ~ sQ60_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f3540,f1288,f1324,f1437]) ).
fof(f7206,plain,
( ~ sQ1_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f5141,f1288,f1132]) ).
fof(f7211,plain,
( sQ77_spl
| ~ sQ1_spl
| ~ sQ7_spl
| e2 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f1152,f5859]) ).
fof(f7263,plain,
( ~ sQ34_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5056,f131]) ).
fof(f7264,plain,
( ~ sQ34_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f7263]) ).
fof(f7283,plain,
( sQ71_spl
| ~ sQ43_spl
| ~ sQ44_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f7134,f1158,f1272,f1268,f1403]) ).
fof(f7298,plain,
( ~ sQ0_spl
| e0 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f1130,f80]) ).
fof(f7338,plain,
( sQ88_spl
| ~ sQ20_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f5871,f1190,f1194,f1471]) ).
fof(f7442,plain,
( sQ79_spl
| ~ sQ43_spl
| e0 != op(op(e2,e3),e2) ),
inference(forward_demodulation,[status(thm)],[f1269,f1435]) ).
fof(f7483,plain,
( sQ69_spl
| ~ sQ43_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f1269,f1398]) ).
fof(f7484,plain,
( sQ69_spl
| ~ sQ43_spl
| ~ sQ44_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f1273,f7483]) ).
fof(f7485,plain,
( sQ69_spl
| ~ sQ43_spl
| ~ sQ44_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7484]) ).
fof(f7486,plain,
( sQ69_spl
| ~ sQ43_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f7485]) ).
fof(f7683,plain,
( sQ77_spl
| ~ sQ3_spl
| e2 != op(op(e0,e3),e0) ),
inference(forward_demodulation,[status(thm)],[f1139,f1427]) ).
fof(f7684,plain,
( sQ77_spl
| ~ sQ3_spl
| ~ sQ13_spl
| e2 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f1172,f7683]) ).
fof(f7685,plain,
( sQ77_spl
| ~ sQ3_spl
| ~ sQ13_spl
| ~ sQ18_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f1188,f7684]) ).
fof(f7686,plain,
( sQ77_spl
| ~ sQ3_spl
| ~ sQ13_spl
| ~ sQ18_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7685]) ).
fof(f7687,plain,
( sQ77_spl
| ~ sQ3_spl
| ~ sQ13_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f7686]) ).
fof(f7720,plain,
( sQ77_spl
| ~ sQ1_spl
| ~ sQ7_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f7211,f1291,f1151,f1132,f1425]) ).
fof(f7745,plain,
( sQ85_spl
| ~ sQ22_spl
| ~ sQ27_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f6858,f1298,f1216,f1200,f1457]) ).
fof(f7789,plain,
( sQ85_spl
| ~ sQ23_spl
| e0 != op(op(e1,e3),e1) ),
inference(backward_demodulation,[status(thm)],[f1204,f1459]) ).
fof(f7795,plain,
( sQ85_spl
| ~ sQ23_spl
| ~ sQ30_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f6755,f1246,f1226,f1203,f1457]) ).
fof(f7965,plain,
( sQ85_spl
| ~ sQ23_spl
| ~ sQ84_spl
| e0 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f6757,f7789]) ).
fof(f7966,plain,
( sQ85_spl
| ~ sQ23_spl
| ~ sQ84_spl
| ~ sQ36_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f1247,f7965]) ).
fof(f7967,plain,
( sQ85_spl
| ~ sQ23_spl
| ~ sQ84_spl
| ~ sQ36_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7966]) ).
fof(f7968,plain,
( sQ85_spl
| ~ sQ23_spl
| ~ sQ84_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f7967]) ).
fof(f7973,plain,
( sQ79_spl
| ~ sQ43_spl
| ~ sQ45_spl
| e0 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f1276,f7442]) ).
fof(f7974,plain,
( sQ79_spl
| ~ sQ43_spl
| ~ sQ45_spl
| ~ sQ24_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f1208,f7973]) ).
fof(f7975,plain,
( sQ79_spl
| ~ sQ43_spl
| ~ sQ45_spl
| ~ sQ24_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7974]) ).
fof(f7976,plain,
( sQ79_spl
| ~ sQ43_spl
| ~ sQ45_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f7975]) ).
fof(f8067,plain,
( sQ73_spl
| ~ sQ60_spl
| ~ sQ49_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f4236,f1226,f1288,f1324,f1410]) ).
fof(f8264,plain,
( sQ68_spl
| ~ sQ20_spl
| ~ sQ19_spl
| e2 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f1191,f2531]) ).
fof(f8265,plain,
( sQ68_spl
| ~ sQ20_spl
| ~ sQ19_spl
| ~ sQ54_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f1305,f8264]) ).
fof(f8266,plain,
( sQ68_spl
| ~ sQ20_spl
| ~ sQ19_spl
| ~ sQ54_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8265]) ).
fof(f8267,plain,
( sQ68_spl
| ~ sQ20_spl
| ~ sQ19_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f8266]) ).
fof(f8272,plain,
( ~ sQ56_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f3135,f1285,f1311]) ).
fof(f8309,plain,
( ~ sQ0_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f7298,f1285,f1129]) ).
fof(f8359,plain,
( sQ67_spl
| ~ sQ20_spl
| ~ sQ18_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f6029,f1255,f1187,f1194,f1388]) ).
fof(f8621,plain,
( sQ81_spl
| ~ sQ62_spl
| ~ sQ57_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f4894,f1220,f1314,f1330,f1441]) ).
fof(f8630,plain,
( sQ81_spl
| ~ sQ62_spl
| ~ sQ80_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f5182,f1220,f1437,f1330,f1441]) ).
fof(f8646,plain,
( ~ sQ18_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f4224,f1226,f1187]) ).
fof(f8673,plain,
( ~ sQ20_spl
| ~ sQ21_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f1198,f1195]) ).
fof(f8674,plain,
( ~ sQ20_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8673,f126]) ).
fof(f8675,plain,
( ~ sQ20_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f8674]) ).
fof(f8676,plain,
$false,
inference(sat_refutation,[status(thm)],[f1141,f1154,f1167,f1180,f1193,f1206,f1219,f1232,f1245,f1258,f1271,f1284,f1297,f1310,f1323,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f1362,f1363,f1364,f1365,f1366,f1367,f1368,f1372,f1373,f1379,f1381,f1382,f1383,f1391,f1395,f1402,f1406,f1413,f1417,f1424,f1428,f1432,f1436,f1440,f1444,f1448,f1452,f1456,f1460,f1464,f1465,f1469,f1470,f1474,f1475,f1479,f1480,f1484,f1485,f1486,f1487,f1488,f1493,f1494,f1498,f1502,f1504,f1505,f1513,f1514,f1515,f1516,f1517,f1522,f1523,f1527,f1531,f1532,f1533,f1534,f1539,f1540,f1541,f1542,f1543,f1544,f1548,f1549,f1550,f1551,f1552,f1557,f1558,f1562,f1566,f1567,f1568,f1569,f1574,f1575,f1576,f1578,f1579,f1583,f1584,f1585,f1586,f1587,f1592,f1593,f1597,f1601,f1602,f1604,f1607,f1608,f1610,f1611,f1612,f1613,f1614,f1618,f1619,f1620,f1621,f1622,f1627,f1632,f1636,f1638,f1639,f1642,f1643,f1644,f1645,f1646,f1647,f1648,f1649,f1653,f1654,f1655,f1656,f1657,f1662,f1663,f1667,f1672,f1673,f1674,f1679,f1680,f1681,f1682,f1683,f1684,f1688,f1689,f1690,f1691,f1692,f1697,f1698,f1706,f1707,f1708,f1709,f1714,f1715,f1716,f1718,f1719,f1723,f1724,f1725,f1726,f1727,f1732,f1733,f1737,f1741,f1742,f1744,f1745,f1746,f1747,f1748,f1750,f1751,f1752,f1753,f1754,f1758,f1759,f1760,f1761,f1762,f1767,f1768,f1772,f1776,f1778,f1779,f1780,f1784,f1785,f1786,f1787,f1788,f1789,f1793,f1794,f1795,f1796,f1797,f1802,f1807,f1812,f1813,f1814,f1815,f1816,f1817,f1818,f1819,f1820,f1821,f1822,f1823,f1824,f1828,f1829,f1830,f1831,f1832,f1837,f1838,f1846,f1847,f1848,f1849,f1850,f1854,f1855,f1856,f1858,f1859,f1863,f1864,f1865,f1866,f1867,f1872,f1873,f1877,f1881,f1882,f1884,f1886,f1890,f1891,f1892,f1893,f1894,f1898,f1899,f1900,f1901,f1902,f1907,f1908,f1912,f1916,f1918,f1919,f1920,f1921,f1923,f1924,f1925,f1926,f1927,f1928,f1929,f1933,f1934,f1935,f1936,f1937,f1942,f1943,f1947,f1951,f1952,f1953,f1954,f1955,f1957,f1959,f1960,f1961,f1962,f1963,f1964,f1968,f1969,f1970,f1971,f1972,f1974,f1983,f1984,f1985,f1986,f1987,f1988,f1989,f1990,f1991,f1992,f1994,f1995,f1999,f2000,f2001,f2002,f2003,f2006,f2007,f2008,f2009,f2010,f2014,f2015,f2016,f2017,f2018,f2023,f2024,f2025,f2026,f2027,f2032,f2033,f2034,f2035,f2036,f2041,f2042,f2043,f2044,f2045,f2050,f2051,f2054,f2059,f2060,f2061,f2062,f2063,f2068,f2069,f2070,f2071,f2072,f2077,f2078,f2079,f2080,f2081,f2082,f2086,f2087,f2088,f2089,f2090,f2095,f2096,f2097,f2098,f2099,f2104,f2105,f2106,f2107,f2108,f2113,f2114,f2115,f2116,f2117,f2122,f2123,f2124,f2125,f2126,f2131,f2132,f2133,f2134,f2135,f2140,f2141,f2142,f2143,f2144,f2149,f2150,f2151,f2152,f2153,f2158,f2159,f2160,f2161,f2162,f2167,f2168,f2169,f2170,f2171,f2176,f2177,f2178,f2179,f2180,f2185,f2186,f2187,f2188,f2189,f2194,f2195,f2196,f2197,f2198,f2203,f2204,f2205,f2206,f2207,f2212,f2213,f2214,f2215,f2216,f2217,f2221,f2222,f2223,f2224,f2225,f2230,f2231,f2232,f2233,f2234,f2239,f2240,f2243,f2248,f2249,f2250,f2251,f2252,f2257,f2258,f2259,f2260,f2261,f2262,f2266,f2267,f2268,f2269,f2270,f2275,f2276,f2277,f2279,f2284,f2285,f2286,f2287,f2288,f2293,f2294,f2295,f2296,f2297,f2302,f2303,f2304,f2305,f2306,f2307,f2311,f2312,f2313,f2314,f2315,f2320,f2321,f2322,f2323,f2324,f2329,f2330,f2331,f2332,f2333,f2334,f2338,f2339,f2340,f2341,f2342,f2347,f2348,f2349,f2350,f2351,f2352,f2356,f2357,f2358,f2359,f2360,f2365,f2366,f2367,f2368,f2369,f2370,f2374,f2375,f2376,f2377,f2378,f2383,f2384,f2385,f2386,f2387,f2392,f2393,f2394,f2395,f2396,f2401,f2402,f2403,f2404,f2405,f2410,f2411,f2412,f2413,f2414,f2419,f2420,f2421,f2423,f2425,f2426,f2458,f2465,f2468,f2471,f2474,f2477,f2494,f2497,f2500,f2503,f2510,f2513,f2529,f2550,f2554,f2560,f2569,f2594,f2622,f2661,f2678,f2684,f2688,f2689,f2690,f2691,f2695,f2696,f2697,f2700,f2702,f2729,f2750,f2753,f2754,f2770,f2778,f2791,f2794,f2800,f2804,f2805,f2806,f2808,f2809,f2822,f2823,f2837,f2840,f2866,f2878,f2897,f2909,f2917,f2924,f2929,f2930,f2956,f2957,f2961,f2972,f2975,f2988,f2999,f3010,f3017,f3028,f3057,f3058,f3059,f3060,f3073,f3082,f3094,f3096,f3106,f3122,f3133,f3134,f3140,f3141,f3155,f3158,f3176,f3190,f3204,f3214,f3221,f3222,f3234,f3242,f3259,f3268,f3325,f3340,f3341,f3348,f3349,f3350,f3356,f3379,f3400,f3411,f3431,f3438,f3464,f3466,f3480,f3489,f3497,f3518,f3521,f3531,f3532,f3556,f3561,f3570,f3584,f3633,f3634,f3651,f3665,f3672,f3679,f3681,f3684,f3721,f3729,f3742,f3744,f3754,f3764,f3785,f3786,f3794,f3796,f3798,f3826,f3828,f3840,f3841,f3850,f3854,f3863,f3873,f3875,f3889,f3900,f3949,f3950,f3956,f3979,f4011,f4026,f4028,f4039,f4066,f4091,f4103,f4122,f4145,f4161,f4178,f4195,f4217,f4240,f4274,f4286,f4299,f4305,f4307,f4346,f4348,f4382,f4386,f4406,f4408,f4421,f4424,f4428,f4455,f4456,f4482,f4543,f4548,f4569,f4579,f4614,f4621,f4635,f4643,f4677,f4680,f4689,f4715,f4738,f4774,f4780,f4809,f4830,f4841,f4883,f4915,f4931,f4933,f4945,f5093,f5130,f5132,f5154,f5162,f5165,f5167,f5357,f5369,f5372,f5463,f5547,f5585,f5699,f5708,f5709,f5733,f5861,f5863,f5888,f6085,f6106,f6237,f6271,f6298,f6322,f6324,f6374,f6375,f6617,f6728,f6775,f6900,f7076,f7099,f7117,f7147,f7194,f7196,f7206,f7264,f7283,f7338,f7486,f7687,f7720,f7745,f7795,f7968,f7976,f8067,f8267,f8272,f8309,f8359,f8621,f8630,f8646,f8675]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG160+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n011.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 12:59:41 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.13/0.41 % Drodi V4.1.1
% 8.84/1.93 % Refutation found
% 8.84/1.93 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 8.84/1.93 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 8.84/1.95 % Elapsed time: 1.584260 seconds
% 8.84/1.95 % CPU time: 11.896551 seconds
% 8.84/1.95 % Total memory used: 95.444 MB
% 8.84/1.95 % Net memory used: 94.581 MB
%------------------------------------------------------------------------------