%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG153+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 : n013.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 11:48:39 AM UTC 2026
% Result : Unsatisfiable 3.84s 0.99s
% Output : CNFRefutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 295
% Syntax : Number of formulae : 2124 ( 55 unt; 268 def)
% Number of atoms : 9612 (5368 equ)
% Maximal formula atoms : 304 ( 4 avg)
% Number of connectives : 12704 (5216 ~;5151 |;2011 &)
% ( 326 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 270 ( 268 usr; 269 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 )
& ( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 )
& ( op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 )
& ( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 )
& ( op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 )
& ( op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 )
& ( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 )
& ( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 )
& ( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 )
& ( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 )
& ( op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 )
& ( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 )
& ( op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 )
& ( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 )
& ( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 )
& ( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
( ( op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 )
& ( op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 )
& ( op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 )
& ( op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 )
& ( op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 )
& ( op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 )
& ( op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 )
& ( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 )
& ( op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 )
& ( op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 )
& ( op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 )
& ( op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 )
& ( op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 )
& ( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 )
& ( op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 )
& ( op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 )
& ( op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 )
& ( op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 )
& ( op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 )
& ( op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 )
& ( op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 )
& ( op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 )
& ( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 )
& ( op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 )
& ( op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 )
& ( op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 )
& ( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 )
& ( op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 )
& ( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 )
& ( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 )
& ( op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 )
& ( op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
( op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( e2 != e3
& e1 != e3
& e1 != e2
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( ( ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( 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,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( 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(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 )
& op(e3,e3) = e3 )
| ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 )
& op(e3,e3) = e2 )
| ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& op(e3,e3) = e1 )
| ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& op(e3,e3) = e0 )
| ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 )
& op(e2,e2) = e3 )
| ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 )
& op(e2,e2) = e2 )
| ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& op(e2,e2) = e1 )
| ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& op(e2,e2) = e0 )
| ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 )
& op(e1,e1) = e3 )
| ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 )
& op(e1,e1) = e2 )
| ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& op(e1,e1) = e1 )
| ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& op(e1,e1) = e0 )
| ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 )
& op(e0,e0) = e3 )
| ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 )
& op(e0,e0) = e2 )
| ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& op(e0,e0) = e1 )
| ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != 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(e2,op(e2,e2))
& e1 = op(e2,e2)
& e0 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
~ ( e2 = op(e3,op(e3,e3))
& e1 = op(e3,e3)
& e0 = op(op(e3,e3),op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
~ ( e3 = op(e1,op(e1,e1))
& e2 = op(e1,e1)
& e0 = op(op(e1,e1),op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
~ ( e1 = op(e3,op(e3,e3))
& e2 = op(e3,e3)
& e0 = op(op(e3,e3),op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
~ ( e2 = op(e1,op(e1,e1))
& e3 = op(e1,e1)
& e0 = op(op(e1,e1),op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
~ ( e1 = op(e2,op(e2,e2))
& e3 = op(e2,e2)
& e0 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
~ ( e3 = op(e2,op(e2,e2))
& e0 = op(e2,e2)
& e1 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
~ ( e2 = op(e3,op(e3,e3))
& e0 = op(e3,e3)
& e1 = op(op(e3,e3),op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
~ ( e3 = op(e0,op(e0,e0))
& e2 = op(e0,e0)
& e1 = op(op(e0,e0),op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
~ ( e0 = op(e3,op(e3,e3))
& e2 = op(e3,e3)
& e1 = op(op(e3,e3),op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
~ ( e2 = op(e0,op(e0,e0))
& e3 = op(e0,e0)
& e1 = op(op(e0,e0),op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
~ ( e0 = op(e2,op(e2,e2))
& e3 = op(e2,e2)
& e1 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
~ ( e3 = op(e1,op(e1,e1))
& e0 = op(e1,e1)
& e2 = op(op(e1,e1),op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
~ ( e3 = op(e0,op(e0,e0))
& e1 = op(e0,e0)
& e2 = op(op(e0,e0),op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
~ ( e0 = op(e3,op(e3,e3))
& e1 = op(e3,e3)
& e2 = op(op(e3,e3),op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
~ ( e1 = op(e0,op(e0,e0))
& e3 = op(e0,e0)
& e2 = op(op(e0,e0),op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
~ ( e2 = op(e1,op(e1,e1))
& e0 = op(e1,e1)
& e3 = op(op(e1,e1),op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
~ ( e1 = op(e2,op(e2,e2))
& e0 = op(e2,e2)
& e3 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
~ ( e2 = op(e0,op(e0,e0))
& e1 = op(e0,e0)
& e3 = op(op(e0,e0),op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
~ ( e0 = op(e2,op(e2,e2))
& e1 = op(e2,e2)
& e3 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
~ ( e1 = op(e0,op(e0,e0))
& e2 = op(e0,e0)
& e3 = op(op(e0,e0),op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
~ ( e0 = op(e1,op(e1,e1))
& e2 = op(e1,e1)
& e3 = op(op(e1,e1),op(e1,e1)) ),
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(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 )
& op(e3,e3) = e2 )
| ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& op(e3,e3) = e1 )
| ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& op(e3,e3) = e0 )
| ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 )
& op(e2,e2) = e3 )
| ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 )
& op(e2,e2) = e2 )
| ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& op(e2,e2) = e1 )
| ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& op(e2,e2) = e0 )
| ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 )
& op(e1,e1) = e3 )
| ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 )
& op(e1,e1) = e2 )
| ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& op(e1,e1) = e1 )
| ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& op(e1,e1) = e0 )
| ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 )
& op(e0,e0) = e3 )
| ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 )
& op(e0,e0) = e2 )
| ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& op(e0,e0) = e1 )
| ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != 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(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f134,plain,
( ( ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| sP1_prd )
& ( ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e0,e3) = e0
| op(e0,e0) != 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(e0,e3) = e0
| op(e0,e0) != e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f137,plain,
( op(e1,e3) = e1
| op(e1,e1) != e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f138,plain,
( op(e2,e3) = e2
| op(e2,e2) != e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f140,plain,
( op(e3,e3) = e3
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f142,plain,
( op(e3,e3) != e0
| op(e3,e0) != e3
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f143,plain,
( op(e3,e3) != e1
| op(e3,e1) != e3
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f145,plain,
( op(e3,e3) != e3
| op(e3,e3) != e3
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f146,plain,
( e3 != op(e2,op(e2,e2))
| e1 != op(e2,e2)
| e0 != op(op(e2,e2),op(e2,e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f147,plain,
( e3 != op(e2,op(e2,e2))
| e1 != op(e2,e2)
| e0 != op(op(e2,e2),op(e2,e2)) ),
inference(cnf_transformation,[status(thm)],[f146]) ).
fof(f148,plain,
( e2 != op(e3,op(e3,e3))
| e1 != op(e3,e3)
| e0 != op(op(e3,e3),op(e3,e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f149,plain,
( e2 != op(e3,op(e3,e3))
| e1 != op(e3,e3)
| e0 != op(op(e3,e3),op(e3,e3)) ),
inference(cnf_transformation,[status(thm)],[f148]) ).
fof(f150,plain,
( e3 != op(e1,op(e1,e1))
| e2 != op(e1,e1)
| e0 != op(op(e1,e1),op(e1,e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f151,plain,
( e3 != op(e1,op(e1,e1))
| e2 != op(e1,e1)
| e0 != op(op(e1,e1),op(e1,e1)) ),
inference(cnf_transformation,[status(thm)],[f150]) ).
fof(f152,plain,
( e1 != op(e3,op(e3,e3))
| e2 != op(e3,e3)
| e0 != op(op(e3,e3),op(e3,e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f153,plain,
( e1 != op(e3,op(e3,e3))
| e2 != op(e3,e3)
| e0 != op(op(e3,e3),op(e3,e3)) ),
inference(cnf_transformation,[status(thm)],[f152]) ).
fof(f154,plain,
( e2 != op(e1,op(e1,e1))
| e3 != op(e1,e1)
| e0 != op(op(e1,e1),op(e1,e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f155,plain,
( e2 != op(e1,op(e1,e1))
| e3 != op(e1,e1)
| e0 != op(op(e1,e1),op(e1,e1)) ),
inference(cnf_transformation,[status(thm)],[f154]) ).
fof(f156,plain,
( e1 != op(e2,op(e2,e2))
| e3 != op(e2,e2)
| e0 != op(op(e2,e2),op(e2,e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f11]) ).
fof(f157,plain,
( e1 != op(e2,op(e2,e2))
| e3 != op(e2,e2)
| e0 != op(op(e2,e2),op(e2,e2)) ),
inference(cnf_transformation,[status(thm)],[f156]) ).
fof(f158,plain,
( e3 != op(e2,op(e2,e2))
| e0 != op(e2,e2)
| e1 != op(op(e2,e2),op(e2,e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f159,plain,
( e3 != op(e2,op(e2,e2))
| e0 != op(e2,e2)
| e1 != op(op(e2,e2),op(e2,e2)) ),
inference(cnf_transformation,[status(thm)],[f158]) ).
fof(f160,plain,
( e2 != op(e3,op(e3,e3))
| e0 != op(e3,e3)
| e1 != op(op(e3,e3),op(e3,e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f161,plain,
( e2 != op(e3,op(e3,e3))
| e0 != op(e3,e3)
| e1 != op(op(e3,e3),op(e3,e3)) ),
inference(cnf_transformation,[status(thm)],[f160]) ).
fof(f162,plain,
( e3 != op(e0,op(e0,e0))
| e2 != op(e0,e0)
| e1 != op(op(e0,e0),op(e0,e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f14]) ).
fof(f163,plain,
( e3 != op(e0,op(e0,e0))
| e2 != op(e0,e0)
| e1 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[status(thm)],[f162]) ).
fof(f164,plain,
( e0 != op(e3,op(e3,e3))
| e2 != op(e3,e3)
| e1 != op(op(e3,e3),op(e3,e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f165,plain,
( e0 != op(e3,op(e3,e3))
| e2 != op(e3,e3)
| e1 != op(op(e3,e3),op(e3,e3)) ),
inference(cnf_transformation,[status(thm)],[f164]) ).
fof(f166,plain,
( e2 != op(e0,op(e0,e0))
| e3 != op(e0,e0)
| e1 != op(op(e0,e0),op(e0,e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f16]) ).
fof(f167,plain,
( e2 != op(e0,op(e0,e0))
| e3 != op(e0,e0)
| e1 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[status(thm)],[f166]) ).
fof(f168,plain,
( e0 != op(e2,op(e2,e2))
| e3 != op(e2,e2)
| e1 != op(op(e2,e2),op(e2,e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f17]) ).
fof(f169,plain,
( e0 != op(e2,op(e2,e2))
| e3 != op(e2,e2)
| e1 != op(op(e2,e2),op(e2,e2)) ),
inference(cnf_transformation,[status(thm)],[f168]) ).
fof(f170,plain,
( e3 != op(e1,op(e1,e1))
| e0 != op(e1,e1)
| e2 != op(op(e1,e1),op(e1,e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f171,plain,
( e3 != op(e1,op(e1,e1))
| e0 != op(e1,e1)
| e2 != op(op(e1,e1),op(e1,e1)) ),
inference(cnf_transformation,[status(thm)],[f170]) ).
fof(f174,plain,
( e3 != op(e0,op(e0,e0))
| e1 != op(e0,e0)
| e2 != op(op(e0,e0),op(e0,e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f20]) ).
fof(f175,plain,
( e3 != op(e0,op(e0,e0))
| e1 != op(e0,e0)
| e2 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[status(thm)],[f174]) ).
fof(f176,plain,
( e0 != op(e3,op(e3,e3))
| e1 != op(e3,e3)
| e2 != op(op(e3,e3),op(e3,e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f21]) ).
fof(f177,plain,
( e0 != op(e3,op(e3,e3))
| e1 != op(e3,e3)
| e2 != op(op(e3,e3),op(e3,e3)) ),
inference(cnf_transformation,[status(thm)],[f176]) ).
fof(f178,plain,
( e1 != op(e0,op(e0,e0))
| e3 != op(e0,e0)
| e2 != op(op(e0,e0),op(e0,e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f22]) ).
fof(f179,plain,
( e1 != op(e0,op(e0,e0))
| e3 != op(e0,e0)
| e2 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[status(thm)],[f178]) ).
fof(f182,plain,
( e2 != op(e1,op(e1,e1))
| e0 != op(e1,e1)
| e3 != op(op(e1,e1),op(e1,e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f24]) ).
fof(f183,plain,
( e2 != op(e1,op(e1,e1))
| e0 != op(e1,e1)
| e3 != op(op(e1,e1),op(e1,e1)) ),
inference(cnf_transformation,[status(thm)],[f182]) ).
fof(f184,plain,
( e1 != op(e2,op(e2,e2))
| e0 != op(e2,e2)
| e3 != op(op(e2,e2),op(e2,e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f25]) ).
fof(f185,plain,
( e1 != op(e2,op(e2,e2))
| e0 != op(e2,e2)
| e3 != op(op(e2,e2),op(e2,e2)) ),
inference(cnf_transformation,[status(thm)],[f184]) ).
fof(f186,plain,
( e2 != op(e0,op(e0,e0))
| e1 != op(e0,e0)
| e3 != op(op(e0,e0),op(e0,e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f26]) ).
fof(f187,plain,
( e2 != op(e0,op(e0,e0))
| e1 != op(e0,e0)
| e3 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[status(thm)],[f186]) ).
fof(f188,plain,
( e0 != op(e2,op(e2,e2))
| e1 != op(e2,e2)
| e3 != op(op(e2,e2),op(e2,e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f27]) ).
fof(f189,plain,
( e0 != op(e2,op(e2,e2))
| e1 != op(e2,e2)
| e3 != op(op(e2,e2),op(e2,e2)) ),
inference(cnf_transformation,[status(thm)],[f188]) ).
fof(f190,plain,
( e1 != op(e0,op(e0,e0))
| e2 != op(e0,e0)
| e3 != op(op(e0,e0),op(e0,e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f28]) ).
fof(f191,plain,
( e1 != op(e0,op(e0,e0))
| e2 != op(e0,e0)
| e3 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f192,plain,
( e0 != op(e1,op(e1,e1))
| e2 != op(e1,e1)
| e3 != op(op(e1,e1),op(e1,e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f29]) ).
fof(f193,plain,
( e0 != op(e1,op(e1,e1))
| e2 != op(e1,e1)
| e3 != op(op(e1,e1),op(e1,e1)) ),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f194,definition,
( sP2_prd
<=> ( ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& op(e3,e3) = e1 )
| ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& op(e3,e3) = e0 )
| ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 )
& op(e2,e2) = e3 )
| ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 )
& op(e2,e2) = e2 )
| ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& op(e2,e2) = e1 )
| ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& op(e2,e2) = e0 )
| ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 )
& op(e1,e1) = e3 )
| ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 )
& op(e1,e1) = e2 )
| ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& op(e1,e1) = e1 )
| ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& op(e1,e1) = e0 )
| ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 )
& op(e0,e0) = e3 )
| ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 )
& op(e0,e0) = e2 )
| ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& op(e0,e0) = e1 )
| ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f195,plain,
( sP0_prd
<=> ( ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 )
& op(e3,e3) = e2 )
| sP2_prd ) ),
inference(formula_renaming,[status(thm)],[f132,f194]) ).
fof(f196,definition,
( sP3_prd
<=> ( op(e0,e2) = e0
| op(e0,e0) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f197,definition,
( sP4_prd
<=> ( op(e1,e2) = e1
| op(e1,e1) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f198,plain,
( sP0_prd
<=> ( ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& sP4_prd
& sP3_prd
& op(e3,e3) = e2 )
| sP2_prd ) ),
inference(formula_renaming,[status(thm)],[f195,f197,f196]) ).
fof(f199,plain,
( ( ( ( ( op(e3,e2) != e3
& op(e3,e3) = e2 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2 )
| ~ sP4_prd
| ~ sP3_prd
| op(e3,e3) != e2 )
& ~ sP2_prd )
| sP0_prd )
& ( ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& sP4_prd
& sP3_prd
& op(e3,e3) = e2 )
| sP2_prd
| ~ sP0_prd ) ),
inference(NNF_transformation,[status(thm)],[f198]) ).
fof(f200,plain,
( op(e3,e3) = e2
| sP2_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f199]) ).
fof(f201,plain,
( sP3_prd
| sP2_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f199]) ).
fof(f202,plain,
( sP4_prd
| sP2_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f199]) ).
fof(f204,plain,
( op(e3,e2) = e3
| op(e3,e3) != e2
| sP2_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f199]) ).
fof(f205,plain,
( ~ sP2_prd
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f199]) ).
fof(f210,definition,
( sP5_prd
<=> ( ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f211,plain,
( sP1_prd
<=> ( ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| sP5_prd ) ),
inference(formula_renaming,[status(thm)],[f133,f210]) ).
fof(f212,definition,
( sP6_prd
<=> ( op(e2,e2) != e0
| op(e2,e0) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f213,definition,
( sP7_prd
<=> ( op(e2,e2) != e1
| op(e2,e1) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).
fof(f214,plain,
( sP1_prd
<=> ( ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& sP7_prd
& sP6_prd
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| sP5_prd ) ),
inference(formula_renaming,[status(thm)],[f211,f213,f212]) ).
fof(f215,plain,
( ( ( ( ( op(e2,e2) = e3
& op(e2,e3) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2 )
| ~ sP7_prd
| ~ sP6_prd
| op(e2,e3) != e3
| op(e3,e2) != e3 )
& ~ sP5_prd )
| sP1_prd )
& ( ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& sP7_prd
& sP6_prd
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| sP5_prd
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f214]) ).
fof(f216,plain,
( op(e3,e2) = e3
| sP5_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f217,plain,
( op(e2,e3) = e3
| sP5_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f218,plain,
( sP6_prd
| sP5_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f219,plain,
( sP7_prd
| sP5_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f220,plain,
( op(e2,e2) != e2
| op(e2,e2) != e2
| sP5_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f222,plain,
( ~ sP5_prd
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f227,definition,
( sP8_prd
<=> ( ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& op(e3,e3) = e0 )
| ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 )
& op(e2,e2) = e3 )
| ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 )
& op(e2,e2) = e2 )
| ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& op(e2,e2) = e1 )
| ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& op(e2,e2) = e0 )
| ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 )
& op(e1,e1) = e3 )
| ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 )
& op(e1,e1) = e2 )
| ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& op(e1,e1) = e1 )
| ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& op(e1,e1) = e0 )
| ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 )
& op(e0,e0) = e3 )
| ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 )
& op(e0,e0) = e2 )
| ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& op(e0,e0) = e1 )
| ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP8_prd])],[]) ).
fof(f228,plain,
( sP2_prd
<=> ( ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& op(e3,e3) = e1 )
| sP8_prd ) ),
inference(formula_renaming,[status(thm)],[f194,f227]) ).
fof(f229,definition,
( sP9_prd
<=> ( op(e0,e1) = e0
| op(e0,e0) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP9_prd])],[]) ).
fof(f230,definition,
( sP10_prd
<=> ( op(e1,e1) = e1
| op(e1,e1) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP10_prd])],[]) ).
fof(f231,plain,
( sP2_prd
<=> ( ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& sP10_prd
& sP9_prd
& op(e3,e3) = e1 )
| sP8_prd ) ),
inference(formula_renaming,[status(thm)],[f228,f230,f229]) ).
fof(f232,plain,
( ( ( ( ( op(e3,e1) != e3
& op(e3,e3) = e1 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1 )
| ~ sP10_prd
| ~ sP9_prd
| op(e3,e3) != e1 )
& ~ sP8_prd )
| sP2_prd )
& ( ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& sP10_prd
& sP9_prd
& op(e3,e3) = e1 )
| sP8_prd
| ~ sP2_prd ) ),
inference(NNF_transformation,[status(thm)],[f231]) ).
fof(f233,plain,
( op(e3,e3) = e1
| sP8_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f232]) ).
fof(f234,plain,
( sP9_prd
| sP8_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f232]) ).
fof(f236,plain,
( op(e2,e1) = e2
| op(e2,e2) != e1
| sP8_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f232]) ).
fof(f237,plain,
( op(e3,e1) = e3
| op(e3,e3) != e1
| sP8_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f232]) ).
fof(f238,plain,
( ~ sP8_prd
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f232]) ).
fof(f243,plain,
( ( ( op(e0,e2) != e0
& op(e0,e0) = e2 )
| sP3_prd )
& ( op(e0,e2) = e0
| op(e0,e0) != e2
| ~ sP3_prd ) ),
inference(NNF_transformation,[status(thm)],[f196]) ).
fof(f244,plain,
( op(e0,e2) = e0
| op(e0,e0) != e2
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f243]) ).
fof(f245,plain,
( op(e0,e0) = e2
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f243]) ).
fof(f246,plain,
( op(e0,e2) != e0
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f243]) ).
fof(f247,plain,
( ( ( op(e1,e2) != e1
& op(e1,e1) = e2 )
| sP4_prd )
& ( op(e1,e2) = e1
| op(e1,e1) != e2
| ~ sP4_prd ) ),
inference(NNF_transformation,[status(thm)],[f197]) ).
fof(f248,plain,
( op(e1,e2) = e1
| op(e1,e1) != e2
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f247]) ).
fof(f249,plain,
( op(e1,e1) = e2
| sP4_prd ),
inference(cnf_transformation,[status(thm)],[f247]) ).
fof(f250,plain,
( op(e1,e2) != e1
| sP4_prd ),
inference(cnf_transformation,[status(thm)],[f247]) ).
fof(f251,definition,
( sP11_prd
<=> ( ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP11_prd])],[]) ).
fof(f252,plain,
( sP5_prd
<=> ( ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| sP11_prd ) ),
inference(formula_renaming,[status(thm)],[f210,f251]) ).
fof(f253,definition,
( sP12_prd
<=> ( op(e1,e1) != e0
| op(e1,e0) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP12_prd])],[]) ).
fof(f254,definition,
( sP13_prd
<=> ( op(e1,e1) != e1
| op(e1,e1) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP13_prd])],[]) ).
fof(f255,plain,
( sP5_prd
<=> ( ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& sP13_prd
& sP12_prd
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| sP11_prd ) ),
inference(formula_renaming,[status(thm)],[f252,f254,f253]) ).
fof(f256,plain,
( ( ( ( ( op(e1,e1) = e3
& op(e1,e3) = e1 )
| ( op(e1,e1) = e2
& op(e1,e2) = e1 )
| ~ sP13_prd
| ~ sP12_prd
| op(e1,e3) != e3
| op(e3,e1) != e3 )
& ~ sP11_prd )
| sP5_prd )
& ( ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& sP13_prd
& sP12_prd
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| sP11_prd
| ~ sP5_prd ) ),
inference(NNF_transformation,[status(thm)],[f255]) ).
fof(f257,plain,
( op(e3,e1) = e3
| sP11_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f256]) ).
fof(f258,plain,
( op(e1,e3) = e3
| sP11_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f256]) ).
fof(f259,plain,
( sP12_prd
| sP11_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f256]) ).
fof(f260,plain,
( sP13_prd
| sP11_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f256]) ).
fof(f261,plain,
( op(e1,e1) != e2
| op(e1,e2) != e1
| sP11_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f256]) ).
fof(f263,plain,
( ~ sP11_prd
| sP5_prd ),
inference(cnf_transformation,[status(thm)],[f256]) ).
fof(f268,plain,
( ( ( op(e2,e2) = e0
& op(e2,e0) = e2 )
| sP6_prd )
& ( op(e2,e2) != e0
| op(e2,e0) != e2
| ~ sP6_prd ) ),
inference(NNF_transformation,[status(thm)],[f212]) ).
fof(f269,plain,
( op(e2,e2) != e0
| op(e2,e0) != e2
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f268]) ).
fof(f270,plain,
( op(e2,e0) = e2
| sP6_prd ),
inference(cnf_transformation,[status(thm)],[f268]) ).
fof(f271,plain,
( op(e2,e2) = e0
| sP6_prd ),
inference(cnf_transformation,[status(thm)],[f268]) ).
fof(f272,plain,
( ( ( op(e2,e2) = e1
& op(e2,e1) = e2 )
| sP7_prd )
& ( op(e2,e2) != e1
| op(e2,e1) != e2
| ~ sP7_prd ) ),
inference(NNF_transformation,[status(thm)],[f213]) ).
fof(f273,plain,
( op(e2,e2) != e1
| op(e2,e1) != e2
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f272]) ).
fof(f274,plain,
( op(e2,e1) = e2
| sP7_prd ),
inference(cnf_transformation,[status(thm)],[f272]) ).
fof(f275,plain,
( op(e2,e2) = e1
| sP7_prd ),
inference(cnf_transformation,[status(thm)],[f272]) ).
fof(f276,definition,
( sP14_prd
<=> ( ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 )
& op(e2,e2) = e3 )
| ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 )
& op(e2,e2) = e2 )
| ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& op(e2,e2) = e1 )
| ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& op(e2,e2) = e0 )
| ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 )
& op(e1,e1) = e3 )
| ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 )
& op(e1,e1) = e2 )
| ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& op(e1,e1) = e1 )
| ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& op(e1,e1) = e0 )
| ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 )
& op(e0,e0) = e3 )
| ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 )
& op(e0,e0) = e2 )
| ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& op(e0,e0) = e1 )
| ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP14_prd])],[]) ).
fof(f277,plain,
( sP8_prd
<=> ( ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& op(e3,e3) = e0 )
| sP14_prd ) ),
inference(formula_renaming,[status(thm)],[f227,f276]) ).
fof(f278,definition,
( sP15_prd
<=> ( op(e0,e0) = e0
| op(e0,e0) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP15_prd])],[]) ).
fof(f279,definition,
( sP16_prd
<=> ( op(e1,e0) = e1
| op(e1,e1) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP16_prd])],[]) ).
fof(f280,plain,
( sP8_prd
<=> ( ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& sP16_prd
& sP15_prd
& op(e3,e3) = e0 )
| sP14_prd ) ),
inference(formula_renaming,[status(thm)],[f277,f279,f278]) ).
fof(f281,plain,
( ( ( ( ( op(e3,e0) != e3
& op(e3,e3) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0 )
| ~ sP16_prd
| ~ sP15_prd
| op(e3,e3) != e0 )
& ~ sP14_prd )
| sP8_prd )
& ( ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& sP16_prd
& sP15_prd
& op(e3,e3) = e0 )
| sP14_prd
| ~ sP8_prd ) ),
inference(NNF_transformation,[status(thm)],[f280]) ).
fof(f282,plain,
( op(e3,e3) = e0
| sP14_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f281]) ).
fof(f284,plain,
( sP16_prd
| sP14_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f281]) ).
fof(f285,plain,
( op(e2,e0) = e2
| op(e2,e2) != e0
| sP14_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f281]) ).
fof(f286,plain,
( op(e3,e0) = e3
| op(e3,e3) != e0
| sP14_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f281]) ).
fof(f287,plain,
( ~ sP14_prd
| sP8_prd ),
inference(cnf_transformation,[status(thm)],[f281]) ).
fof(f292,plain,
( ( ( op(e0,e1) != e0
& op(e0,e0) = e1 )
| sP9_prd )
& ( op(e0,e1) = e0
| op(e0,e0) != e1
| ~ sP9_prd ) ),
inference(NNF_transformation,[status(thm)],[f229]) ).
fof(f293,plain,
( op(e0,e1) = e0
| op(e0,e0) != e1
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f292]) ).
fof(f294,plain,
( op(e0,e0) = e1
| sP9_prd ),
inference(cnf_transformation,[status(thm)],[f292]) ).
fof(f295,plain,
( op(e0,e1) != e0
| sP9_prd ),
inference(cnf_transformation,[status(thm)],[f292]) ).
fof(f296,plain,
( ( ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| sP10_prd )
& ( op(e1,e1) = e1
| op(e1,e1) != e1
| ~ sP10_prd ) ),
inference(NNF_transformation,[status(thm)],[f230]) ).
fof(f298,plain,
( op(e1,e1) = e1
| sP10_prd ),
inference(cnf_transformation,[status(thm)],[f296]) ).
fof(f299,plain,
( op(e1,e1) != e1
| sP10_prd ),
inference(cnf_transformation,[status(thm)],[f296]) ).
fof(f300,definition,
( sP17_prd
<=> ( ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP17_prd])],[]) ).
fof(f301,plain,
( sP11_prd
<=> ( ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| sP17_prd ) ),
inference(formula_renaming,[status(thm)],[f251,f300]) ).
fof(f302,definition,
( sP18_prd
<=> ( op(e0,e0) != e0
| op(e0,e0) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP18_prd])],[]) ).
fof(f303,definition,
( sP19_prd
<=> ( op(e0,e0) != e1
| op(e0,e1) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP19_prd])],[]) ).
fof(f304,plain,
( sP11_prd
<=> ( ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& sP19_prd
& sP18_prd
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| sP17_prd ) ),
inference(formula_renaming,[status(thm)],[f301,f303,f302]) ).
fof(f305,plain,
( ( ( ( ( op(e0,e0) = e3
& op(e0,e3) = e0 )
| ( op(e0,e0) = e2
& op(e0,e2) = e0 )
| ~ sP19_prd
| ~ sP18_prd
| op(e0,e3) != e3
| op(e3,e0) != e3 )
& ~ sP17_prd )
| sP11_prd )
& ( ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& sP19_prd
& sP18_prd
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| sP17_prd
| ~ sP11_prd ) ),
inference(NNF_transformation,[status(thm)],[f304]) ).
fof(f306,plain,
( op(e3,e0) = e3
| sP17_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f305]) ).
fof(f307,plain,
( op(e0,e3) = e3
| sP17_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f305]) ).
fof(f308,plain,
( sP18_prd
| sP17_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f305]) ).
fof(f309,plain,
( sP19_prd
| sP17_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f305]) ).
fof(f310,plain,
( op(e0,e0) != e2
| op(e0,e2) != e0
| sP17_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f305]) ).
fof(f312,plain,
( ~ sP17_prd
| sP11_prd ),
inference(cnf_transformation,[status(thm)],[f305]) ).
fof(f317,plain,
( ( ( op(e1,e1) = e0
& op(e1,e0) = e1 )
| sP12_prd )
& ( op(e1,e1) != e0
| op(e1,e0) != e1
| ~ sP12_prd ) ),
inference(NNF_transformation,[status(thm)],[f253]) ).
fof(f318,plain,
( op(e1,e1) != e0
| op(e1,e0) != e1
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f317]) ).
fof(f319,plain,
( op(e1,e0) = e1
| sP12_prd ),
inference(cnf_transformation,[status(thm)],[f317]) ).
fof(f320,plain,
( op(e1,e1) = e0
| sP12_prd ),
inference(cnf_transformation,[status(thm)],[f317]) ).
fof(f321,plain,
( ( ( op(e1,e1) = e1
& op(e1,e1) = e1 )
| sP13_prd )
& ( op(e1,e1) != e1
| op(e1,e1) != e1
| ~ sP13_prd ) ),
inference(NNF_transformation,[status(thm)],[f254]) ).
fof(f322,plain,
( op(e1,e1) != e1
| op(e1,e1) != e1
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f321]) ).
fof(f323,plain,
( op(e1,e1) = e1
| sP13_prd ),
inference(cnf_transformation,[status(thm)],[f321]) ).
fof(f325,definition,
( sP20_prd
<=> ( ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 )
& op(e2,e2) = e2 )
| ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& op(e2,e2) = e1 )
| ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& op(e2,e2) = e0 )
| ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 )
& op(e1,e1) = e3 )
| ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 )
& op(e1,e1) = e2 )
| ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& op(e1,e1) = e1 )
| ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& op(e1,e1) = e0 )
| ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 )
& op(e0,e0) = e3 )
| ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 )
& op(e0,e0) = e2 )
| ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& op(e0,e0) = e1 )
| ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP20_prd])],[]) ).
fof(f326,plain,
( sP14_prd
<=> ( ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 )
& op(e2,e2) = e3 )
| sP20_prd ) ),
inference(formula_renaming,[status(thm)],[f276,f325]) ).
fof(f327,definition,
( sP21_prd
<=> ( op(e0,e3) = e0
| op(e0,e0) != e3 ) ),
introduced(definition,[new_symbols(definition,[sP21_prd])],[]) ).
fof(f328,definition,
( sP22_prd
<=> ( op(e1,e3) = e1
| op(e1,e1) != e3 ) ),
introduced(definition,[new_symbols(definition,[sP22_prd])],[]) ).
fof(f329,plain,
( sP14_prd
<=> ( ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& sP22_prd
& sP21_prd
& op(e2,e2) = e3 )
| sP20_prd ) ),
inference(formula_renaming,[status(thm)],[f326,f328,f327]) ).
fof(f330,plain,
( ( ( ( ( op(e3,e3) != e3
& op(e3,e3) = e3 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3 )
| ~ sP22_prd
| ~ sP21_prd
| op(e2,e2) != e3 )
& ~ sP20_prd )
| sP14_prd )
& ( ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& sP22_prd
& sP21_prd
& op(e2,e2) = e3 )
| sP20_prd
| ~ sP14_prd ) ),
inference(NNF_transformation,[status(thm)],[f329]) ).
fof(f331,plain,
( op(e2,e2) = e3
| sP20_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f330]) ).
fof(f332,plain,
( sP21_prd
| sP20_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f330]) ).
fof(f333,plain,
( sP22_prd
| sP20_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f330]) ).
fof(f334,plain,
( op(e2,e3) = e2
| op(e2,e2) != e3
| sP20_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f330]) ).
fof(f336,plain,
( ~ sP20_prd
| sP14_prd ),
inference(cnf_transformation,[status(thm)],[f330]) ).
fof(f341,plain,
( ( ( op(e0,e0) != e0
& op(e0,e0) = e0 )
| sP15_prd )
& ( op(e0,e0) = e0
| op(e0,e0) != e0
| ~ sP15_prd ) ),
inference(NNF_transformation,[status(thm)],[f278]) ).
fof(f343,plain,
( op(e0,e0) = e0
| sP15_prd ),
inference(cnf_transformation,[status(thm)],[f341]) ).
fof(f344,plain,
( op(e0,e0) != e0
| sP15_prd ),
inference(cnf_transformation,[status(thm)],[f341]) ).
fof(f345,plain,
( ( ( op(e1,e0) != e1
& op(e1,e1) = e0 )
| sP16_prd )
& ( op(e1,e0) = e1
| op(e1,e1) != e0
| ~ sP16_prd ) ),
inference(NNF_transformation,[status(thm)],[f279]) ).
fof(f346,plain,
( op(e1,e0) = e1
| op(e1,e1) != e0
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f345]) ).
fof(f347,plain,
( op(e1,e1) = e0
| sP16_prd ),
inference(cnf_transformation,[status(thm)],[f345]) ).
fof(f348,plain,
( op(e1,e0) != e1
| sP16_prd ),
inference(cnf_transformation,[status(thm)],[f345]) ).
fof(f349,definition,
( sP23_prd
<=> ( ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP23_prd])],[]) ).
fof(f350,plain,
( sP17_prd
<=> ( ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| sP23_prd ) ),
inference(formula_renaming,[status(thm)],[f300,f349]) ).
fof(f351,definition,
( sP24_prd
<=> ( op(e3,e3) != e0
| op(e3,e0) != e3 ) ),
introduced(definition,[new_symbols(definition,[sP24_prd])],[]) ).
fof(f352,definition,
( sP25_prd
<=> ( op(e3,e3) != e1
| op(e3,e1) != e3 ) ),
introduced(definition,[new_symbols(definition,[sP25_prd])],[]) ).
fof(f353,plain,
( sP17_prd
<=> ( ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& sP25_prd
& sP24_prd
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| sP23_prd ) ),
inference(formula_renaming,[status(thm)],[f350,f352,f351]) ).
fof(f354,plain,
( ( ( ( ( op(e3,e3) = e3
& op(e3,e3) = e3 )
| ( op(e3,e3) = e2
& op(e3,e2) = e3 )
| ~ sP25_prd
| ~ sP24_prd
| op(e3,e2) != e2
| op(e2,e3) != e2 )
& ~ sP23_prd )
| sP17_prd )
& ( ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& sP25_prd
& sP24_prd
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| sP23_prd
| ~ sP17_prd ) ),
inference(NNF_transformation,[status(thm)],[f353]) ).
fof(f355,plain,
( op(e2,e3) = e2
| sP23_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f354]) ).
fof(f356,plain,
( op(e3,e2) = e2
| sP23_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f354]) ).
fof(f357,plain,
( sP24_prd
| sP23_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f354]) ).
fof(f358,plain,
( sP25_prd
| sP23_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f354]) ).
fof(f360,plain,
( op(e3,e3) != e3
| op(e3,e3) != e3
| sP23_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f354]) ).
fof(f361,plain,
( ~ sP23_prd
| sP17_prd ),
inference(cnf_transformation,[status(thm)],[f354]) ).
fof(f362,plain,
( op(e3,e3) = e3
| op(e3,e2) = e3
| ~ sP25_prd
| ~ sP24_prd
| op(e3,e2) != e2
| op(e2,e3) != e2
| sP17_prd ),
inference(cnf_transformation,[status(thm)],[f354]) ).
fof(f366,plain,
( ( ( op(e0,e0) = e0
& op(e0,e0) = e0 )
| sP18_prd )
& ( op(e0,e0) != e0
| op(e0,e0) != e0
| ~ sP18_prd ) ),
inference(NNF_transformation,[status(thm)],[f302]) ).
fof(f367,plain,
( op(e0,e0) != e0
| op(e0,e0) != e0
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f366]) ).
fof(f368,plain,
( op(e0,e0) = e0
| sP18_prd ),
inference(cnf_transformation,[status(thm)],[f366]) ).
fof(f370,plain,
( ( ( op(e0,e0) = e1
& op(e0,e1) = e0 )
| sP19_prd )
& ( op(e0,e0) != e1
| op(e0,e1) != e0
| ~ sP19_prd ) ),
inference(NNF_transformation,[status(thm)],[f303]) ).
fof(f371,plain,
( op(e0,e0) != e1
| op(e0,e1) != e0
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f370]) ).
fof(f372,plain,
( op(e0,e1) = e0
| sP19_prd ),
inference(cnf_transformation,[status(thm)],[f370]) ).
fof(f373,plain,
( op(e0,e0) = e1
| sP19_prd ),
inference(cnf_transformation,[status(thm)],[f370]) ).
fof(f374,definition,
( sP26_prd
<=> ( ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& op(e2,e2) = e1 )
| ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& op(e2,e2) = e0 )
| ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 )
& op(e1,e1) = e3 )
| ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 )
& op(e1,e1) = e2 )
| ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& op(e1,e1) = e1 )
| ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& op(e1,e1) = e0 )
| ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 )
& op(e0,e0) = e3 )
| ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 )
& op(e0,e0) = e2 )
| ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& op(e0,e0) = e1 )
| ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP26_prd])],[]) ).
fof(f375,plain,
( sP20_prd
<=> ( ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 )
& op(e2,e2) = e2 )
| sP26_prd ) ),
inference(formula_renaming,[status(thm)],[f325,f374]) ).
fof(f376,definition,
( sP27_prd
<=> ( op(e0,e2) = e0
| op(e0,e0) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP27_prd])],[]) ).
fof(f377,definition,
( sP28_prd
<=> ( op(e1,e2) = e1
| op(e1,e1) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP28_prd])],[]) ).
fof(f378,plain,
( sP20_prd
<=> ( ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& sP28_prd
& sP27_prd
& op(e2,e2) = e2 )
| sP26_prd ) ),
inference(formula_renaming,[status(thm)],[f375,f377,f376]) ).
fof(f379,plain,
( ( ( ( ( op(e3,e2) != e3
& op(e3,e3) = e2 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2 )
| ~ sP28_prd
| ~ sP27_prd
| op(e2,e2) != e2 )
& ~ sP26_prd )
| sP20_prd )
& ( ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& sP28_prd
& sP27_prd
& op(e2,e2) = e2 )
| sP26_prd
| ~ sP20_prd ) ),
inference(NNF_transformation,[status(thm)],[f378]) ).
fof(f380,plain,
( op(e2,e2) = e2
| sP26_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f379]) ).
fof(f381,plain,
( sP27_prd
| sP26_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f379]) ).
fof(f382,plain,
( sP28_prd
| sP26_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f379]) ).
fof(f384,plain,
( op(e3,e2) = e3
| op(e3,e3) != e2
| sP26_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f379]) ).
fof(f385,plain,
( ~ sP26_prd
| sP20_prd ),
inference(cnf_transformation,[status(thm)],[f379]) ).
fof(f388,plain,
( op(e3,e3) = e2
| op(e2,e2) != e2
| ~ sP28_prd
| ~ sP27_prd
| op(e2,e2) != e2
| sP20_prd ),
inference(cnf_transformation,[status(thm)],[f379]) ).
fof(f389,plain,
( op(e3,e2) != e3
| op(e2,e2) != e2
| ~ sP28_prd
| ~ sP27_prd
| op(e2,e2) != e2
| sP20_prd ),
inference(cnf_transformation,[status(thm)],[f379]) ).
fof(f390,plain,
( ( ( op(e0,e3) != e0
& op(e0,e0) = e3 )
| sP21_prd )
& ( op(e0,e3) = e0
| op(e0,e0) != e3
| ~ sP21_prd ) ),
inference(NNF_transformation,[status(thm)],[f327]) ).
fof(f391,plain,
( op(e0,e3) = e0
| op(e0,e0) != e3
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f390]) ).
fof(f392,plain,
( op(e0,e0) = e3
| sP21_prd ),
inference(cnf_transformation,[status(thm)],[f390]) ).
fof(f393,plain,
( op(e0,e3) != e0
| sP21_prd ),
inference(cnf_transformation,[status(thm)],[f390]) ).
fof(f394,plain,
( ( ( op(e1,e3) != e1
& op(e1,e1) = e3 )
| sP22_prd )
& ( op(e1,e3) = e1
| op(e1,e1) != e3
| ~ sP22_prd ) ),
inference(NNF_transformation,[status(thm)],[f328]) ).
fof(f395,plain,
( op(e1,e3) = e1
| op(e1,e1) != e3
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f394]) ).
fof(f396,plain,
( op(e1,e1) = e3
| sP22_prd ),
inference(cnf_transformation,[status(thm)],[f394]) ).
fof(f397,plain,
( op(e1,e3) != e1
| sP22_prd ),
inference(cnf_transformation,[status(thm)],[f394]) ).
fof(f398,definition,
( sP29_prd
<=> ( ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP29_prd])],[]) ).
fof(f399,plain,
( sP23_prd
<=> ( ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| sP29_prd ) ),
inference(formula_renaming,[status(thm)],[f349,f398]) ).
fof(f400,definition,
( sP30_prd
<=> ( op(e2,e2) != e0
| op(e2,e0) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP30_prd])],[]) ).
fof(f401,definition,
( sP31_prd
<=> ( op(e2,e2) != e1
| op(e2,e1) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP31_prd])],[]) ).
fof(f402,plain,
( sP23_prd
<=> ( ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& sP31_prd
& sP30_prd
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| sP29_prd ) ),
inference(formula_renaming,[status(thm)],[f399,f401,f400]) ).
fof(f403,plain,
( ( ( ( ( op(e2,e2) = e3
& op(e2,e3) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2 )
| ~ sP31_prd
| ~ sP30_prd
| op(e2,e2) != e2
| op(e2,e2) != e2 )
& ~ sP29_prd )
| sP23_prd )
& ( ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& sP31_prd
& sP30_prd
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| sP29_prd
| ~ sP23_prd ) ),
inference(NNF_transformation,[status(thm)],[f402]) ).
fof(f404,plain,
( op(e2,e2) = e2
| sP29_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f403]) ).
fof(f406,plain,
( sP30_prd
| sP29_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f403]) ).
fof(f407,plain,
( sP31_prd
| sP29_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f403]) ).
fof(f408,plain,
( op(e2,e2) != e2
| op(e2,e2) != e2
| sP29_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f403]) ).
fof(f410,plain,
( ~ sP29_prd
| sP23_prd ),
inference(cnf_transformation,[status(thm)],[f403]) ).
fof(f415,plain,
( ( ( op(e3,e3) = e0
& op(e3,e0) = e3 )
| sP24_prd )
& ( op(e3,e3) != e0
| op(e3,e0) != e3
| ~ sP24_prd ) ),
inference(NNF_transformation,[status(thm)],[f351]) ).
fof(f416,plain,
( op(e3,e3) != e0
| op(e3,e0) != e3
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f415]) ).
fof(f417,plain,
( op(e3,e0) = e3
| sP24_prd ),
inference(cnf_transformation,[status(thm)],[f415]) ).
fof(f418,plain,
( op(e3,e3) = e0
| sP24_prd ),
inference(cnf_transformation,[status(thm)],[f415]) ).
fof(f419,plain,
( ( ( op(e3,e3) = e1
& op(e3,e1) = e3 )
| sP25_prd )
& ( op(e3,e3) != e1
| op(e3,e1) != e3
| ~ sP25_prd ) ),
inference(NNF_transformation,[status(thm)],[f352]) ).
fof(f420,plain,
( op(e3,e3) != e1
| op(e3,e1) != e3
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f419]) ).
fof(f421,plain,
( op(e3,e1) = e3
| sP25_prd ),
inference(cnf_transformation,[status(thm)],[f419]) ).
fof(f422,plain,
( op(e3,e3) = e1
| sP25_prd ),
inference(cnf_transformation,[status(thm)],[f419]) ).
fof(f423,definition,
( sP32_prd
<=> ( ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& op(e2,e2) = e0 )
| ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 )
& op(e1,e1) = e3 )
| ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 )
& op(e1,e1) = e2 )
| ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& op(e1,e1) = e1 )
| ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& op(e1,e1) = e0 )
| ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 )
& op(e0,e0) = e3 )
| ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 )
& op(e0,e0) = e2 )
| ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& op(e0,e0) = e1 )
| ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP32_prd])],[]) ).
fof(f424,plain,
( sP26_prd
<=> ( ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& op(e2,e2) = e1 )
| sP32_prd ) ),
inference(formula_renaming,[status(thm)],[f374,f423]) ).
fof(f425,definition,
( sP33_prd
<=> ( op(e0,e1) = e0
| op(e0,e0) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP33_prd])],[]) ).
fof(f426,definition,
( sP34_prd
<=> ( op(e1,e1) = e1
| op(e1,e1) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP34_prd])],[]) ).
fof(f427,plain,
( sP26_prd
<=> ( ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& sP34_prd
& sP33_prd
& op(e2,e2) = e1 )
| sP32_prd ) ),
inference(formula_renaming,[status(thm)],[f424,f426,f425]) ).
fof(f428,plain,
( ( ( ( ( op(e3,e1) != e3
& op(e3,e3) = e1 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1 )
| ~ sP34_prd
| ~ sP33_prd
| op(e2,e2) != e1 )
& ~ sP32_prd )
| sP26_prd )
& ( ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& sP34_prd
& sP33_prd
& op(e2,e2) = e1 )
| sP32_prd
| ~ sP26_prd ) ),
inference(NNF_transformation,[status(thm)],[f427]) ).
fof(f429,plain,
( op(e2,e2) = e1
| sP32_prd
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f428]) ).
fof(f430,plain,
( sP33_prd
| sP32_prd
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f428]) ).
fof(f432,plain,
( op(e2,e1) = e2
| op(e2,e2) != e1
| sP32_prd
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f428]) ).
fof(f433,plain,
( op(e3,e1) = e3
| op(e3,e3) != e1
| sP32_prd
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f428]) ).
fof(f434,plain,
( ~ sP32_prd
| sP26_prd ),
inference(cnf_transformation,[status(thm)],[f428]) ).
fof(f439,plain,
( ( ( op(e0,e2) != e0
& op(e0,e0) = e2 )
| sP27_prd )
& ( op(e0,e2) = e0
| op(e0,e0) != e2
| ~ sP27_prd ) ),
inference(NNF_transformation,[status(thm)],[f376]) ).
fof(f440,plain,
( op(e0,e2) = e0
| op(e0,e0) != e2
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f439]) ).
fof(f441,plain,
( op(e0,e0) = e2
| sP27_prd ),
inference(cnf_transformation,[status(thm)],[f439]) ).
fof(f442,plain,
( op(e0,e2) != e0
| sP27_prd ),
inference(cnf_transformation,[status(thm)],[f439]) ).
fof(f443,plain,
( ( ( op(e1,e2) != e1
& op(e1,e1) = e2 )
| sP28_prd )
& ( op(e1,e2) = e1
| op(e1,e1) != e2
| ~ sP28_prd ) ),
inference(NNF_transformation,[status(thm)],[f377]) ).
fof(f444,plain,
( op(e1,e2) = e1
| op(e1,e1) != e2
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f443]) ).
fof(f445,plain,
( op(e1,e1) = e2
| sP28_prd ),
inference(cnf_transformation,[status(thm)],[f443]) ).
fof(f446,plain,
( op(e1,e2) != e1
| sP28_prd ),
inference(cnf_transformation,[status(thm)],[f443]) ).
fof(f447,definition,
( sP35_prd
<=> ( ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP35_prd])],[]) ).
fof(f448,plain,
( sP29_prd
<=> ( ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| sP35_prd ) ),
inference(formula_renaming,[status(thm)],[f398,f447]) ).
fof(f449,definition,
( sP36_prd
<=> ( op(e1,e1) != e0
| op(e1,e0) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP36_prd])],[]) ).
fof(f450,definition,
( sP37_prd
<=> ( op(e1,e1) != e1
| op(e1,e1) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP37_prd])],[]) ).
fof(f451,plain,
( sP29_prd
<=> ( ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& sP37_prd
& sP36_prd
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| sP35_prd ) ),
inference(formula_renaming,[status(thm)],[f448,f450,f449]) ).
fof(f452,plain,
( ( ( ( ( op(e1,e1) = e3
& op(e1,e3) = e1 )
| ( op(e1,e1) = e2
& op(e1,e2) = e1 )
| ~ sP37_prd
| ~ sP36_prd
| op(e1,e2) != e2
| op(e2,e1) != e2 )
& ~ sP35_prd )
| sP29_prd )
& ( ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& sP37_prd
& sP36_prd
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| sP35_prd
| ~ sP29_prd ) ),
inference(NNF_transformation,[status(thm)],[f451]) ).
fof(f453,plain,
( op(e2,e1) = e2
| sP35_prd
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f452]) ).
fof(f454,plain,
( op(e1,e2) = e2
| sP35_prd
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f452]) ).
fof(f455,plain,
( sP36_prd
| sP35_prd
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f452]) ).
fof(f456,plain,
( sP37_prd
| sP35_prd
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f452]) ).
fof(f458,plain,
( op(e1,e1) != e3
| op(e1,e3) != e1
| sP35_prd
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f452]) ).
fof(f459,plain,
( ~ sP35_prd
| sP29_prd ),
inference(cnf_transformation,[status(thm)],[f452]) ).
fof(f461,plain,
( op(e1,e1) = e3
| op(e1,e2) = e1
| ~ sP37_prd
| ~ sP36_prd
| op(e1,e2) != e2
| op(e2,e1) != e2
| sP29_prd ),
inference(cnf_transformation,[status(thm)],[f452]) ).
fof(f463,plain,
( op(e1,e1) = e3
| op(e1,e1) = e2
| ~ sP37_prd
| ~ sP36_prd
| op(e1,e2) != e2
| op(e2,e1) != e2
| sP29_prd ),
inference(cnf_transformation,[status(thm)],[f452]) ).
fof(f464,plain,
( ( ( op(e2,e2) = e0
& op(e2,e0) = e2 )
| sP30_prd )
& ( op(e2,e2) != e0
| op(e2,e0) != e2
| ~ sP30_prd ) ),
inference(NNF_transformation,[status(thm)],[f400]) ).
fof(f465,plain,
( op(e2,e2) != e0
| op(e2,e0) != e2
| ~ sP30_prd ),
inference(cnf_transformation,[status(thm)],[f464]) ).
fof(f466,plain,
( op(e2,e0) = e2
| sP30_prd ),
inference(cnf_transformation,[status(thm)],[f464]) ).
fof(f467,plain,
( op(e2,e2) = e0
| sP30_prd ),
inference(cnf_transformation,[status(thm)],[f464]) ).
fof(f468,plain,
( ( ( op(e2,e2) = e1
& op(e2,e1) = e2 )
| sP31_prd )
& ( op(e2,e2) != e1
| op(e2,e1) != e2
| ~ sP31_prd ) ),
inference(NNF_transformation,[status(thm)],[f401]) ).
fof(f469,plain,
( op(e2,e2) != e1
| op(e2,e1) != e2
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f468]) ).
fof(f470,plain,
( op(e2,e1) = e2
| sP31_prd ),
inference(cnf_transformation,[status(thm)],[f468]) ).
fof(f471,plain,
( op(e2,e2) = e1
| sP31_prd ),
inference(cnf_transformation,[status(thm)],[f468]) ).
fof(f472,definition,
( sP38_prd
<=> ( ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 )
& op(e1,e1) = e3 )
| ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 )
& op(e1,e1) = e2 )
| ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& op(e1,e1) = e1 )
| ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& op(e1,e1) = e0 )
| ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 )
& op(e0,e0) = e3 )
| ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 )
& op(e0,e0) = e2 )
| ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& op(e0,e0) = e1 )
| ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP38_prd])],[]) ).
fof(f473,plain,
( sP32_prd
<=> ( ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& op(e2,e2) = e0 )
| sP38_prd ) ),
inference(formula_renaming,[status(thm)],[f423,f472]) ).
fof(f474,definition,
( sP39_prd
<=> ( op(e0,e0) = e0
| op(e0,e0) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP39_prd])],[]) ).
fof(f475,definition,
( sP40_prd
<=> ( op(e1,e0) = e1
| op(e1,e1) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP40_prd])],[]) ).
fof(f476,plain,
( sP32_prd
<=> ( ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& sP40_prd
& sP39_prd
& op(e2,e2) = e0 )
| sP38_prd ) ),
inference(formula_renaming,[status(thm)],[f473,f475,f474]) ).
fof(f477,plain,
( ( ( ( ( op(e3,e0) != e3
& op(e3,e3) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0 )
| ~ sP40_prd
| ~ sP39_prd
| op(e2,e2) != e0 )
& ~ sP38_prd )
| sP32_prd )
& ( ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& sP40_prd
& sP39_prd
& op(e2,e2) = e0 )
| sP38_prd
| ~ sP32_prd ) ),
inference(NNF_transformation,[status(thm)],[f476]) ).
fof(f478,plain,
( op(e2,e2) = e0
| sP38_prd
| ~ sP32_prd ),
inference(cnf_transformation,[status(thm)],[f477]) ).
fof(f480,plain,
( sP40_prd
| sP38_prd
| ~ sP32_prd ),
inference(cnf_transformation,[status(thm)],[f477]) ).
fof(f481,plain,
( op(e2,e0) = e2
| op(e2,e2) != e0
| sP38_prd
| ~ sP32_prd ),
inference(cnf_transformation,[status(thm)],[f477]) ).
fof(f482,plain,
( op(e3,e0) = e3
| op(e3,e3) != e0
| sP38_prd
| ~ sP32_prd ),
inference(cnf_transformation,[status(thm)],[f477]) ).
fof(f483,plain,
( ~ sP38_prd
| sP32_prd ),
inference(cnf_transformation,[status(thm)],[f477]) ).
fof(f486,plain,
( op(e3,e3) = e0
| op(e2,e0) != e2
| ~ sP40_prd
| ~ sP39_prd
| op(e2,e2) != e0
| sP32_prd ),
inference(cnf_transformation,[status(thm)],[f477]) ).
fof(f488,plain,
( ( ( op(e0,e1) != e0
& op(e0,e0) = e1 )
| sP33_prd )
& ( op(e0,e1) = e0
| op(e0,e0) != e1
| ~ sP33_prd ) ),
inference(NNF_transformation,[status(thm)],[f425]) ).
fof(f489,plain,
( op(e0,e1) = e0
| op(e0,e0) != e1
| ~ sP33_prd ),
inference(cnf_transformation,[status(thm)],[f488]) ).
fof(f490,plain,
( op(e0,e0) = e1
| sP33_prd ),
inference(cnf_transformation,[status(thm)],[f488]) ).
fof(f491,plain,
( op(e0,e1) != e0
| sP33_prd ),
inference(cnf_transformation,[status(thm)],[f488]) ).
fof(f492,plain,
( ( ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| sP34_prd )
& ( op(e1,e1) = e1
| op(e1,e1) != e1
| ~ sP34_prd ) ),
inference(NNF_transformation,[status(thm)],[f426]) ).
fof(f494,plain,
( op(e1,e1) = e1
| sP34_prd ),
inference(cnf_transformation,[status(thm)],[f492]) ).
fof(f495,plain,
( op(e1,e1) != e1
| sP34_prd ),
inference(cnf_transformation,[status(thm)],[f492]) ).
fof(f496,definition,
( sP41_prd
<=> ( ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP41_prd])],[]) ).
fof(f497,plain,
( sP35_prd
<=> ( ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| sP41_prd ) ),
inference(formula_renaming,[status(thm)],[f447,f496]) ).
fof(f498,definition,
( sP42_prd
<=> ( op(e0,e0) != e0
| op(e0,e0) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP42_prd])],[]) ).
fof(f499,definition,
( sP43_prd
<=> ( op(e0,e0) != e1
| op(e0,e1) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP43_prd])],[]) ).
fof(f500,plain,
( sP35_prd
<=> ( ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& sP43_prd
& sP42_prd
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| sP41_prd ) ),
inference(formula_renaming,[status(thm)],[f497,f499,f498]) ).
fof(f501,plain,
( ( ( ( ( op(e0,e0) = e3
& op(e0,e3) = e0 )
| ( op(e0,e0) = e2
& op(e0,e2) = e0 )
| ~ sP43_prd
| ~ sP42_prd
| op(e0,e2) != e2
| op(e2,e0) != e2 )
& ~ sP41_prd )
| sP35_prd )
& ( ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& sP43_prd
& sP42_prd
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| sP41_prd
| ~ sP35_prd ) ),
inference(NNF_transformation,[status(thm)],[f500]) ).
fof(f502,plain,
( op(e2,e0) = e2
| sP41_prd
| ~ sP35_prd ),
inference(cnf_transformation,[status(thm)],[f501]) ).
fof(f503,plain,
( op(e0,e2) = e2
| sP41_prd
| ~ sP35_prd ),
inference(cnf_transformation,[status(thm)],[f501]) ).
fof(f504,plain,
( sP42_prd
| sP41_prd
| ~ sP35_prd ),
inference(cnf_transformation,[status(thm)],[f501]) ).
fof(f505,plain,
( sP43_prd
| sP41_prd
| ~ sP35_prd ),
inference(cnf_transformation,[status(thm)],[f501]) ).
fof(f506,plain,
( op(e0,e0) != e2
| op(e0,e2) != e0
| sP41_prd
| ~ sP35_prd ),
inference(cnf_transformation,[status(thm)],[f501]) ).
fof(f507,plain,
( op(e0,e0) != e3
| op(e0,e3) != e0
| sP41_prd
| ~ sP35_prd ),
inference(cnf_transformation,[status(thm)],[f501]) ).
fof(f508,plain,
( ~ sP41_prd
| sP35_prd ),
inference(cnf_transformation,[status(thm)],[f501]) ).
fof(f512,plain,
( op(e0,e0) = e3
| op(e0,e0) = e2
| ~ sP43_prd
| ~ sP42_prd
| op(e0,e2) != e2
| op(e2,e0) != e2
| sP35_prd ),
inference(cnf_transformation,[status(thm)],[f501]) ).
fof(f513,plain,
( ( ( op(e1,e1) = e0
& op(e1,e0) = e1 )
| sP36_prd )
& ( op(e1,e1) != e0
| op(e1,e0) != e1
| ~ sP36_prd ) ),
inference(NNF_transformation,[status(thm)],[f449]) ).
fof(f514,plain,
( op(e1,e1) != e0
| op(e1,e0) != e1
| ~ sP36_prd ),
inference(cnf_transformation,[status(thm)],[f513]) ).
fof(f515,plain,
( op(e1,e0) = e1
| sP36_prd ),
inference(cnf_transformation,[status(thm)],[f513]) ).
fof(f516,plain,
( op(e1,e1) = e0
| sP36_prd ),
inference(cnf_transformation,[status(thm)],[f513]) ).
fof(f517,plain,
( ( ( op(e1,e1) = e1
& op(e1,e1) = e1 )
| sP37_prd )
& ( op(e1,e1) != e1
| op(e1,e1) != e1
| ~ sP37_prd ) ),
inference(NNF_transformation,[status(thm)],[f450]) ).
fof(f518,plain,
( op(e1,e1) != e1
| op(e1,e1) != e1
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f517]) ).
fof(f519,plain,
( op(e1,e1) = e1
| sP37_prd ),
inference(cnf_transformation,[status(thm)],[f517]) ).
fof(f521,definition,
( sP44_prd
<=> ( ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 )
& op(e1,e1) = e2 )
| ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& op(e1,e1) = e1 )
| ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& op(e1,e1) = e0 )
| ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 )
& op(e0,e0) = e3 )
| ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 )
& op(e0,e0) = e2 )
| ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& op(e0,e0) = e1 )
| ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP44_prd])],[]) ).
fof(f522,plain,
( sP38_prd
<=> ( ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 )
& op(e1,e1) = e3 )
| sP44_prd ) ),
inference(formula_renaming,[status(thm)],[f472,f521]) ).
fof(f523,definition,
( sP45_prd
<=> ( op(e0,e3) = e0
| op(e0,e0) != e3 ) ),
introduced(definition,[new_symbols(definition,[sP45_prd])],[]) ).
fof(f524,definition,
( sP46_prd
<=> ( op(e1,e3) = e1
| op(e1,e1) != e3 ) ),
introduced(definition,[new_symbols(definition,[sP46_prd])],[]) ).
fof(f525,plain,
( sP38_prd
<=> ( ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& sP46_prd
& sP45_prd
& op(e1,e1) = e3 )
| sP44_prd ) ),
inference(formula_renaming,[status(thm)],[f522,f524,f523]) ).
fof(f526,plain,
( ( ( ( ( op(e3,e3) != e3
& op(e3,e3) = e3 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3 )
| ~ sP46_prd
| ~ sP45_prd
| op(e1,e1) != e3 )
& ~ sP44_prd )
| sP38_prd )
& ( ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& sP46_prd
& sP45_prd
& op(e1,e1) = e3 )
| sP44_prd
| ~ sP38_prd ) ),
inference(NNF_transformation,[status(thm)],[f525]) ).
fof(f527,plain,
( op(e1,e1) = e3
| sP44_prd
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f526]) ).
fof(f528,plain,
( sP45_prd
| sP44_prd
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f526]) ).
fof(f529,plain,
( sP46_prd
| sP44_prd
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f526]) ).
fof(f530,plain,
( op(e2,e3) = e2
| op(e2,e2) != e3
| sP44_prd
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f526]) ).
fof(f532,plain,
( ~ sP44_prd
| sP38_prd ),
inference(cnf_transformation,[status(thm)],[f526]) ).
fof(f533,plain,
( op(e3,e3) = e3
| op(e2,e2) = e3
| ~ sP46_prd
| ~ sP45_prd
| op(e1,e1) != e3
| sP38_prd ),
inference(cnf_transformation,[status(thm)],[f526]) ).
fof(f534,plain,
( op(e3,e3) != e3
| op(e2,e2) = e3
| ~ sP46_prd
| ~ sP45_prd
| op(e1,e1) != e3
| sP38_prd ),
inference(cnf_transformation,[status(thm)],[f526]) ).
fof(f535,plain,
( op(e3,e3) = e3
| op(e2,e3) != e2
| ~ sP46_prd
| ~ sP45_prd
| op(e1,e1) != e3
| sP38_prd ),
inference(cnf_transformation,[status(thm)],[f526]) ).
fof(f537,plain,
( ( ( op(e0,e0) != e0
& op(e0,e0) = e0 )
| sP39_prd )
& ( op(e0,e0) = e0
| op(e0,e0) != e0
| ~ sP39_prd ) ),
inference(NNF_transformation,[status(thm)],[f474]) ).
fof(f539,plain,
( op(e0,e0) = e0
| sP39_prd ),
inference(cnf_transformation,[status(thm)],[f537]) ).
fof(f540,plain,
( op(e0,e0) != e0
| sP39_prd ),
inference(cnf_transformation,[status(thm)],[f537]) ).
fof(f541,plain,
( ( ( op(e1,e0) != e1
& op(e1,e1) = e0 )
| sP40_prd )
& ( op(e1,e0) = e1
| op(e1,e1) != e0
| ~ sP40_prd ) ),
inference(NNF_transformation,[status(thm)],[f475]) ).
fof(f542,plain,
( op(e1,e0) = e1
| op(e1,e1) != e0
| ~ sP40_prd ),
inference(cnf_transformation,[status(thm)],[f541]) ).
fof(f543,plain,
( op(e1,e1) = e0
| sP40_prd ),
inference(cnf_transformation,[status(thm)],[f541]) ).
fof(f544,plain,
( op(e1,e0) != e1
| sP40_prd ),
inference(cnf_transformation,[status(thm)],[f541]) ).
fof(f545,definition,
( sP47_prd
<=> ( ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP47_prd])],[]) ).
fof(f546,plain,
( sP41_prd
<=> ( ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| sP47_prd ) ),
inference(formula_renaming,[status(thm)],[f496,f545]) ).
fof(f547,definition,
( sP48_prd
<=> ( op(e3,e3) != e0
| op(e3,e0) != e3 ) ),
introduced(definition,[new_symbols(definition,[sP48_prd])],[]) ).
fof(f548,definition,
( sP49_prd
<=> ( op(e3,e3) != e1
| op(e3,e1) != e3 ) ),
introduced(definition,[new_symbols(definition,[sP49_prd])],[]) ).
fof(f549,plain,
( sP41_prd
<=> ( ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& sP49_prd
& sP48_prd
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| sP47_prd ) ),
inference(formula_renaming,[status(thm)],[f546,f548,f547]) ).
fof(f550,plain,
( ( ( ( ( op(e3,e3) = e3
& op(e3,e3) = e3 )
| ( op(e3,e3) = e2
& op(e3,e2) = e3 )
| ~ sP49_prd
| ~ sP48_prd
| op(e3,e1) != e1
| op(e1,e3) != e1 )
& ~ sP47_prd )
| sP41_prd )
& ( ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& sP49_prd
& sP48_prd
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| sP47_prd
| ~ sP41_prd ) ),
inference(NNF_transformation,[status(thm)],[f549]) ).
fof(f551,plain,
( op(e1,e3) = e1
| sP47_prd
| ~ sP41_prd ),
inference(cnf_transformation,[status(thm)],[f550]) ).
fof(f552,plain,
( op(e3,e1) = e1
| sP47_prd
| ~ sP41_prd ),
inference(cnf_transformation,[status(thm)],[f550]) ).
fof(f553,plain,
( sP48_prd
| sP47_prd
| ~ sP41_prd ),
inference(cnf_transformation,[status(thm)],[f550]) ).
fof(f555,plain,
( op(e3,e3) != e2
| op(e3,e2) != e3
| sP47_prd
| ~ sP41_prd ),
inference(cnf_transformation,[status(thm)],[f550]) ).
fof(f556,plain,
( op(e3,e3) != e3
| op(e3,e3) != e3
| sP47_prd
| ~ sP41_prd ),
inference(cnf_transformation,[status(thm)],[f550]) ).
fof(f557,plain,
( ~ sP47_prd
| sP41_prd ),
inference(cnf_transformation,[status(thm)],[f550]) ).
fof(f558,plain,
( op(e3,e3) = e3
| op(e3,e2) = e3
| ~ sP49_prd
| ~ sP48_prd
| op(e3,e1) != e1
| op(e1,e3) != e1
| sP41_prd ),
inference(cnf_transformation,[status(thm)],[f550]) ).
fof(f560,plain,
( op(e3,e3) = e3
| op(e3,e3) = e2
| ~ sP49_prd
| ~ sP48_prd
| op(e3,e1) != e1
| op(e1,e3) != e1
| sP41_prd ),
inference(cnf_transformation,[status(thm)],[f550]) ).
fof(f562,plain,
( ( ( op(e0,e0) = e0
& op(e0,e0) = e0 )
| sP42_prd )
& ( op(e0,e0) != e0
| op(e0,e0) != e0
| ~ sP42_prd ) ),
inference(NNF_transformation,[status(thm)],[f498]) ).
fof(f563,plain,
( op(e0,e0) != e0
| op(e0,e0) != e0
| ~ sP42_prd ),
inference(cnf_transformation,[status(thm)],[f562]) ).
fof(f564,plain,
( op(e0,e0) = e0
| sP42_prd ),
inference(cnf_transformation,[status(thm)],[f562]) ).
fof(f566,plain,
( ( ( op(e0,e0) = e1
& op(e0,e1) = e0 )
| sP43_prd )
& ( op(e0,e0) != e1
| op(e0,e1) != e0
| ~ sP43_prd ) ),
inference(NNF_transformation,[status(thm)],[f499]) ).
fof(f567,plain,
( op(e0,e0) != e1
| op(e0,e1) != e0
| ~ sP43_prd ),
inference(cnf_transformation,[status(thm)],[f566]) ).
fof(f568,plain,
( op(e0,e1) = e0
| sP43_prd ),
inference(cnf_transformation,[status(thm)],[f566]) ).
fof(f569,plain,
( op(e0,e0) = e1
| sP43_prd ),
inference(cnf_transformation,[status(thm)],[f566]) ).
fof(f570,definition,
( sP50_prd
<=> ( ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& op(e1,e1) = e1 )
| ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& op(e1,e1) = e0 )
| ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 )
& op(e0,e0) = e3 )
| ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 )
& op(e0,e0) = e2 )
| ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& op(e0,e0) = e1 )
| ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP50_prd])],[]) ).
fof(f571,plain,
( sP44_prd
<=> ( ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 )
& op(e1,e1) = e2 )
| sP50_prd ) ),
inference(formula_renaming,[status(thm)],[f521,f570]) ).
fof(f572,definition,
( sP51_prd
<=> ( op(e0,e2) = e0
| op(e0,e0) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP51_prd])],[]) ).
fof(f573,definition,
( sP52_prd
<=> ( op(e1,e2) = e1
| op(e1,e1) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP52_prd])],[]) ).
fof(f574,plain,
( sP44_prd
<=> ( ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& sP52_prd
& sP51_prd
& op(e1,e1) = e2 )
| sP50_prd ) ),
inference(formula_renaming,[status(thm)],[f571,f573,f572]) ).
fof(f575,plain,
( ( ( ( ( op(e3,e2) != e3
& op(e3,e3) = e2 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2 )
| ~ sP52_prd
| ~ sP51_prd
| op(e1,e1) != e2 )
& ~ sP50_prd )
| sP44_prd )
& ( ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& sP52_prd
& sP51_prd
& op(e1,e1) = e2 )
| sP50_prd
| ~ sP44_prd ) ),
inference(NNF_transformation,[status(thm)],[f574]) ).
fof(f576,plain,
( op(e1,e1) = e2
| sP50_prd
| ~ sP44_prd ),
inference(cnf_transformation,[status(thm)],[f575]) ).
fof(f577,plain,
( sP51_prd
| sP50_prd
| ~ sP44_prd ),
inference(cnf_transformation,[status(thm)],[f575]) ).
fof(f578,plain,
( sP52_prd
| sP50_prd
| ~ sP44_prd ),
inference(cnf_transformation,[status(thm)],[f575]) ).
fof(f580,plain,
( op(e3,e2) = e3
| op(e3,e3) != e2
| sP50_prd
| ~ sP44_prd ),
inference(cnf_transformation,[status(thm)],[f575]) ).
fof(f581,plain,
( ~ sP50_prd
| sP44_prd ),
inference(cnf_transformation,[status(thm)],[f575]) ).
fof(f583,plain,
( op(e3,e2) != e3
| op(e2,e2) = e2
| ~ sP52_prd
| ~ sP51_prd
| op(e1,e1) != e2
| sP44_prd ),
inference(cnf_transformation,[status(thm)],[f575]) ).
fof(f585,plain,
( op(e3,e2) != e3
| op(e2,e2) != e2
| ~ sP52_prd
| ~ sP51_prd
| op(e1,e1) != e2
| sP44_prd ),
inference(cnf_transformation,[status(thm)],[f575]) ).
fof(f586,plain,
( ( ( op(e0,e3) != e0
& op(e0,e0) = e3 )
| sP45_prd )
& ( op(e0,e3) = e0
| op(e0,e0) != e3
| ~ sP45_prd ) ),
inference(NNF_transformation,[status(thm)],[f523]) ).
fof(f587,plain,
( op(e0,e3) = e0
| op(e0,e0) != e3
| ~ sP45_prd ),
inference(cnf_transformation,[status(thm)],[f586]) ).
fof(f588,plain,
( op(e0,e0) = e3
| sP45_prd ),
inference(cnf_transformation,[status(thm)],[f586]) ).
fof(f589,plain,
( op(e0,e3) != e0
| sP45_prd ),
inference(cnf_transformation,[status(thm)],[f586]) ).
fof(f590,plain,
( ( ( op(e1,e3) != e1
& op(e1,e1) = e3 )
| sP46_prd )
& ( op(e1,e3) = e1
| op(e1,e1) != e3
| ~ sP46_prd ) ),
inference(NNF_transformation,[status(thm)],[f524]) ).
fof(f591,plain,
( op(e1,e3) = e1
| op(e1,e1) != e3
| ~ sP46_prd ),
inference(cnf_transformation,[status(thm)],[f590]) ).
fof(f592,plain,
( op(e1,e1) = e3
| sP46_prd ),
inference(cnf_transformation,[status(thm)],[f590]) ).
fof(f593,plain,
( op(e1,e3) != e1
| sP46_prd ),
inference(cnf_transformation,[status(thm)],[f590]) ).
fof(f594,definition,
( sP53_prd
<=> ( ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP53_prd])],[]) ).
fof(f595,plain,
( sP47_prd
<=> ( ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| sP53_prd ) ),
inference(formula_renaming,[status(thm)],[f545,f594]) ).
fof(f596,definition,
( sP54_prd
<=> ( op(e2,e2) != e0
| op(e2,e0) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP54_prd])],[]) ).
fof(f597,definition,
( sP55_prd
<=> ( op(e2,e2) != e1
| op(e2,e1) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP55_prd])],[]) ).
fof(f598,plain,
( sP47_prd
<=> ( ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& sP55_prd
& sP54_prd
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| sP53_prd ) ),
inference(formula_renaming,[status(thm)],[f595,f597,f596]) ).
fof(f599,plain,
( ( ( ( ( op(e2,e2) = e3
& op(e2,e3) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2 )
| ~ sP55_prd
| ~ sP54_prd
| op(e2,e1) != e1
| op(e1,e2) != e1 )
& ~ sP53_prd )
| sP47_prd )
& ( ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& sP55_prd
& sP54_prd
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| sP53_prd
| ~ sP47_prd ) ),
inference(NNF_transformation,[status(thm)],[f598]) ).
fof(f600,plain,
( op(e1,e2) = e1
| sP53_prd
| ~ sP47_prd ),
inference(cnf_transformation,[status(thm)],[f599]) ).
fof(f601,plain,
( op(e2,e1) = e1
| sP53_prd
| ~ sP47_prd ),
inference(cnf_transformation,[status(thm)],[f599]) ).
fof(f602,plain,
( sP54_prd
| sP53_prd
| ~ sP47_prd ),
inference(cnf_transformation,[status(thm)],[f599]) ).
fof(f604,plain,
( op(e2,e2) != e2
| op(e2,e2) != e2
| sP53_prd
| ~ sP47_prd ),
inference(cnf_transformation,[status(thm)],[f599]) ).
fof(f605,plain,
( op(e2,e2) != e3
| op(e2,e3) != e2
| sP53_prd
| ~ sP47_prd ),
inference(cnf_transformation,[status(thm)],[f599]) ).
fof(f606,plain,
( ~ sP53_prd
| sP47_prd ),
inference(cnf_transformation,[status(thm)],[f599]) ).
fof(f608,plain,
( op(e2,e2) = e3
| op(e2,e2) = e2
| ~ sP55_prd
| ~ sP54_prd
| op(e2,e1) != e1
| op(e1,e2) != e1
| sP47_prd ),
inference(cnf_transformation,[status(thm)],[f599]) ).
fof(f611,plain,
( ( ( op(e3,e3) = e0
& op(e3,e0) = e3 )
| sP48_prd )
& ( op(e3,e3) != e0
| op(e3,e0) != e3
| ~ sP48_prd ) ),
inference(NNF_transformation,[status(thm)],[f547]) ).
fof(f612,plain,
( op(e3,e3) != e0
| op(e3,e0) != e3
| ~ sP48_prd ),
inference(cnf_transformation,[status(thm)],[f611]) ).
fof(f613,plain,
( op(e3,e0) = e3
| sP48_prd ),
inference(cnf_transformation,[status(thm)],[f611]) ).
fof(f614,plain,
( op(e3,e3) = e0
| sP48_prd ),
inference(cnf_transformation,[status(thm)],[f611]) ).
fof(f615,plain,
( ( ( op(e3,e3) = e1
& op(e3,e1) = e3 )
| sP49_prd )
& ( op(e3,e3) != e1
| op(e3,e1) != e3
| ~ sP49_prd ) ),
inference(NNF_transformation,[status(thm)],[f548]) ).
fof(f617,plain,
( op(e3,e1) = e3
| sP49_prd ),
inference(cnf_transformation,[status(thm)],[f615]) ).
fof(f618,plain,
( op(e3,e3) = e1
| sP49_prd ),
inference(cnf_transformation,[status(thm)],[f615]) ).
fof(f619,definition,
( sP56_prd
<=> ( ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& op(e1,e1) = e0 )
| ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 )
& op(e0,e0) = e3 )
| ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 )
& op(e0,e0) = e2 )
| ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& op(e0,e0) = e1 )
| ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP56_prd])],[]) ).
fof(f620,plain,
( sP50_prd
<=> ( ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& op(e1,e1) = e1 )
| sP56_prd ) ),
inference(formula_renaming,[status(thm)],[f570,f619]) ).
fof(f621,definition,
( sP57_prd
<=> ( op(e0,e1) = e0
| op(e0,e0) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP57_prd])],[]) ).
fof(f622,definition,
( sP58_prd
<=> ( op(e1,e1) = e1
| op(e1,e1) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP58_prd])],[]) ).
fof(f623,plain,
( sP50_prd
<=> ( ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& sP58_prd
& sP57_prd
& op(e1,e1) = e1 )
| sP56_prd ) ),
inference(formula_renaming,[status(thm)],[f620,f622,f621]) ).
fof(f624,plain,
( ( ( ( ( op(e3,e1) != e3
& op(e3,e3) = e1 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1 )
| ~ sP58_prd
| ~ sP57_prd
| op(e1,e1) != e1 )
& ~ sP56_prd )
| sP50_prd )
& ( ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& sP58_prd
& sP57_prd
& op(e1,e1) = e1 )
| sP56_prd
| ~ sP50_prd ) ),
inference(NNF_transformation,[status(thm)],[f623]) ).
fof(f625,plain,
( op(e1,e1) = e1
| sP56_prd
| ~ sP50_prd ),
inference(cnf_transformation,[status(thm)],[f624]) ).
fof(f626,plain,
( sP57_prd
| sP56_prd
| ~ sP50_prd ),
inference(cnf_transformation,[status(thm)],[f624]) ).
fof(f628,plain,
( op(e2,e1) = e2
| op(e2,e2) != e1
| sP56_prd
| ~ sP50_prd ),
inference(cnf_transformation,[status(thm)],[f624]) ).
fof(f629,plain,
( op(e3,e1) = e3
| op(e3,e3) != e1
| sP56_prd
| ~ sP50_prd ),
inference(cnf_transformation,[status(thm)],[f624]) ).
fof(f630,plain,
( ~ sP56_prd
| sP50_prd ),
inference(cnf_transformation,[status(thm)],[f624]) ).
fof(f631,plain,
( op(e3,e3) = e1
| op(e2,e2) = e1
| ~ sP58_prd
| ~ sP57_prd
| op(e1,e1) != e1
| sP50_prd ),
inference(cnf_transformation,[status(thm)],[f624]) ).
fof(f635,plain,
( ( ( op(e0,e2) != e0
& op(e0,e0) = e2 )
| sP51_prd )
& ( op(e0,e2) = e0
| op(e0,e0) != e2
| ~ sP51_prd ) ),
inference(NNF_transformation,[status(thm)],[f572]) ).
fof(f636,plain,
( op(e0,e2) = e0
| op(e0,e0) != e2
| ~ sP51_prd ),
inference(cnf_transformation,[status(thm)],[f635]) ).
fof(f637,plain,
( op(e0,e0) = e2
| sP51_prd ),
inference(cnf_transformation,[status(thm)],[f635]) ).
fof(f638,plain,
( op(e0,e2) != e0
| sP51_prd ),
inference(cnf_transformation,[status(thm)],[f635]) ).
fof(f639,plain,
( ( ( op(e1,e2) != e1
& op(e1,e1) = e2 )
| sP52_prd )
& ( op(e1,e2) = e1
| op(e1,e1) != e2
| ~ sP52_prd ) ),
inference(NNF_transformation,[status(thm)],[f573]) ).
fof(f640,plain,
( op(e1,e2) = e1
| op(e1,e1) != e2
| ~ sP52_prd ),
inference(cnf_transformation,[status(thm)],[f639]) ).
fof(f641,plain,
( op(e1,e1) = e2
| sP52_prd ),
inference(cnf_transformation,[status(thm)],[f639]) ).
fof(f642,plain,
( op(e1,e2) != e1
| sP52_prd ),
inference(cnf_transformation,[status(thm)],[f639]) ).
fof(f643,definition,
( sP59_prd
<=> ( ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP59_prd])],[]) ).
fof(f644,plain,
( sP53_prd
<=> ( ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| sP59_prd ) ),
inference(formula_renaming,[status(thm)],[f594,f643]) ).
fof(f645,definition,
( sP60_prd
<=> ( op(e1,e1) != e0
| op(e1,e0) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP60_prd])],[]) ).
fof(f646,definition,
( sP61_prd
<=> ( op(e1,e1) != e1
| op(e1,e1) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP61_prd])],[]) ).
fof(f647,plain,
( sP53_prd
<=> ( ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& sP61_prd
& sP60_prd
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| sP59_prd ) ),
inference(formula_renaming,[status(thm)],[f644,f646,f645]) ).
fof(f648,plain,
( ( ( ( ( op(e1,e1) = e3
& op(e1,e3) = e1 )
| ( op(e1,e1) = e2
& op(e1,e2) = e1 )
| ~ sP61_prd
| ~ sP60_prd
| op(e1,e1) != e1
| op(e1,e1) != e1 )
& ~ sP59_prd )
| sP53_prd )
& ( ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& sP61_prd
& sP60_prd
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| sP59_prd
| ~ sP53_prd ) ),
inference(NNF_transformation,[status(thm)],[f647]) ).
fof(f649,plain,
( op(e1,e1) = e1
| sP59_prd
| ~ sP53_prd ),
inference(cnf_transformation,[status(thm)],[f648]) ).
fof(f651,plain,
( sP60_prd
| sP59_prd
| ~ sP53_prd ),
inference(cnf_transformation,[status(thm)],[f648]) ).
fof(f652,plain,
( sP61_prd
| sP59_prd
| ~ sP53_prd ),
inference(cnf_transformation,[status(thm)],[f648]) ).
fof(f653,plain,
( op(e1,e1) != e2
| op(e1,e2) != e1
| sP59_prd
| ~ sP53_prd ),
inference(cnf_transformation,[status(thm)],[f648]) ).
fof(f654,plain,
( op(e1,e1) != e3
| op(e1,e3) != e1
| sP59_prd
| ~ sP53_prd ),
inference(cnf_transformation,[status(thm)],[f648]) ).
fof(f655,plain,
( ~ sP59_prd
| sP53_prd ),
inference(cnf_transformation,[status(thm)],[f648]) ).
fof(f660,plain,
( ( ( op(e2,e2) = e0
& op(e2,e0) = e2 )
| sP54_prd )
& ( op(e2,e2) != e0
| op(e2,e0) != e2
| ~ sP54_prd ) ),
inference(NNF_transformation,[status(thm)],[f596]) ).
fof(f661,plain,
( op(e2,e2) != e0
| op(e2,e0) != e2
| ~ sP54_prd ),
inference(cnf_transformation,[status(thm)],[f660]) ).
fof(f662,plain,
( op(e2,e0) = e2
| sP54_prd ),
inference(cnf_transformation,[status(thm)],[f660]) ).
fof(f663,plain,
( op(e2,e2) = e0
| sP54_prd ),
inference(cnf_transformation,[status(thm)],[f660]) ).
fof(f664,plain,
( ( ( op(e2,e2) = e1
& op(e2,e1) = e2 )
| sP55_prd )
& ( op(e2,e2) != e1
| op(e2,e1) != e2
| ~ sP55_prd ) ),
inference(NNF_transformation,[status(thm)],[f597]) ).
fof(f665,plain,
( op(e2,e2) != e1
| op(e2,e1) != e2
| ~ sP55_prd ),
inference(cnf_transformation,[status(thm)],[f664]) ).
fof(f666,plain,
( op(e2,e1) = e2
| sP55_prd ),
inference(cnf_transformation,[status(thm)],[f664]) ).
fof(f667,plain,
( op(e2,e2) = e1
| sP55_prd ),
inference(cnf_transformation,[status(thm)],[f664]) ).
fof(f668,definition,
( sP62_prd
<=> ( ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 )
& op(e0,e0) = e3 )
| ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 )
& op(e0,e0) = e2 )
| ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& op(e0,e0) = e1 )
| ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP62_prd])],[]) ).
fof(f669,plain,
( sP56_prd
<=> ( ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& op(e1,e1) = e0 )
| sP62_prd ) ),
inference(formula_renaming,[status(thm)],[f619,f668]) ).
fof(f670,definition,
( sP63_prd
<=> ( op(e0,e0) = e0
| op(e0,e0) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP63_prd])],[]) ).
fof(f671,definition,
( sP64_prd
<=> ( op(e1,e0) = e1
| op(e1,e1) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP64_prd])],[]) ).
fof(f672,plain,
( sP56_prd
<=> ( ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& sP64_prd
& sP63_prd
& op(e1,e1) = e0 )
| sP62_prd ) ),
inference(formula_renaming,[status(thm)],[f669,f671,f670]) ).
fof(f673,plain,
( ( ( ( ( op(e3,e0) != e3
& op(e3,e3) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0 )
| ~ sP64_prd
| ~ sP63_prd
| op(e1,e1) != e0 )
& ~ sP62_prd )
| sP56_prd )
& ( ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& sP64_prd
& sP63_prd
& op(e1,e1) = e0 )
| sP62_prd
| ~ sP56_prd ) ),
inference(NNF_transformation,[status(thm)],[f672]) ).
fof(f674,plain,
( op(e1,e1) = e0
| sP62_prd
| ~ sP56_prd ),
inference(cnf_transformation,[status(thm)],[f673]) ).
fof(f676,plain,
( sP64_prd
| sP62_prd
| ~ sP56_prd ),
inference(cnf_transformation,[status(thm)],[f673]) ).
fof(f677,plain,
( op(e2,e0) = e2
| op(e2,e2) != e0
| sP62_prd
| ~ sP56_prd ),
inference(cnf_transformation,[status(thm)],[f673]) ).
fof(f678,plain,
( op(e3,e0) = e3
| op(e3,e3) != e0
| sP62_prd
| ~ sP56_prd ),
inference(cnf_transformation,[status(thm)],[f673]) ).
fof(f679,plain,
( ~ sP62_prd
| sP56_prd ),
inference(cnf_transformation,[status(thm)],[f673]) ).
fof(f680,plain,
( op(e3,e3) = e0
| op(e2,e2) = e0
| ~ sP64_prd
| ~ sP63_prd
| op(e1,e1) != e0
| sP56_prd ),
inference(cnf_transformation,[status(thm)],[f673]) ).
fof(f681,plain,
( op(e3,e0) != e3
| op(e2,e2) = e0
| ~ sP64_prd
| ~ sP63_prd
| op(e1,e1) != e0
| sP56_prd ),
inference(cnf_transformation,[status(thm)],[f673]) ).
fof(f682,plain,
( op(e3,e3) = e0
| op(e2,e0) != e2
| ~ sP64_prd
| ~ sP63_prd
| op(e1,e1) != e0
| sP56_prd ),
inference(cnf_transformation,[status(thm)],[f673]) ).
fof(f684,plain,
( ( ( op(e0,e1) != e0
& op(e0,e0) = e1 )
| sP57_prd )
& ( op(e0,e1) = e0
| op(e0,e0) != e1
| ~ sP57_prd ) ),
inference(NNF_transformation,[status(thm)],[f621]) ).
fof(f685,plain,
( op(e0,e1) = e0
| op(e0,e0) != e1
| ~ sP57_prd ),
inference(cnf_transformation,[status(thm)],[f684]) ).
fof(f686,plain,
( op(e0,e0) = e1
| sP57_prd ),
inference(cnf_transformation,[status(thm)],[f684]) ).
fof(f687,plain,
( op(e0,e1) != e0
| sP57_prd ),
inference(cnf_transformation,[status(thm)],[f684]) ).
fof(f688,plain,
( ( ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| sP58_prd )
& ( op(e1,e1) = e1
| op(e1,e1) != e1
| ~ sP58_prd ) ),
inference(NNF_transformation,[status(thm)],[f622]) ).
fof(f690,plain,
( op(e1,e1) = e1
| sP58_prd ),
inference(cnf_transformation,[status(thm)],[f688]) ).
fof(f691,plain,
( op(e1,e1) != e1
| sP58_prd ),
inference(cnf_transformation,[status(thm)],[f688]) ).
fof(f692,definition,
( sP65_prd
<=> ( ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != 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(f693,plain,
( sP59_prd
<=> ( ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| sP65_prd ) ),
inference(formula_renaming,[status(thm)],[f643,f692]) ).
fof(f694,definition,
( sP66_prd
<=> ( op(e0,e0) != e0
| op(e0,e0) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP66_prd])],[]) ).
fof(f695,definition,
( sP67_prd
<=> ( op(e0,e0) != e1
| op(e0,e1) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP67_prd])],[]) ).
fof(f696,plain,
( sP59_prd
<=> ( ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& sP67_prd
& sP66_prd
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| sP65_prd ) ),
inference(formula_renaming,[status(thm)],[f693,f695,f694]) ).
fof(f697,plain,
( ( ( ( ( op(e0,e0) = e3
& op(e0,e3) = e0 )
| ( op(e0,e0) = e2
& op(e0,e2) = e0 )
| ~ sP67_prd
| ~ sP66_prd
| op(e0,e1) != e1
| op(e1,e0) != e1 )
& ~ sP65_prd )
| sP59_prd )
& ( ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& sP67_prd
& sP66_prd
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| sP65_prd
| ~ sP59_prd ) ),
inference(NNF_transformation,[status(thm)],[f696]) ).
fof(f698,plain,
( op(e1,e0) = e1
| sP65_prd
| ~ sP59_prd ),
inference(cnf_transformation,[status(thm)],[f697]) ).
fof(f699,plain,
( op(e0,e1) = e1
| sP65_prd
| ~ sP59_prd ),
inference(cnf_transformation,[status(thm)],[f697]) ).
fof(f700,plain,
( sP66_prd
| sP65_prd
| ~ sP59_prd ),
inference(cnf_transformation,[status(thm)],[f697]) ).
fof(f702,plain,
( op(e0,e0) != e2
| op(e0,e2) != e0
| sP65_prd
| ~ sP59_prd ),
inference(cnf_transformation,[status(thm)],[f697]) ).
fof(f703,plain,
( op(e0,e0) != e3
| op(e0,e3) != e0
| sP65_prd
| ~ sP59_prd ),
inference(cnf_transformation,[status(thm)],[f697]) ).
fof(f704,plain,
( ~ sP65_prd
| sP59_prd ),
inference(cnf_transformation,[status(thm)],[f697]) ).
fof(f705,plain,
( op(e0,e3) = e0
| op(e0,e2) = e0
| ~ sP67_prd
| ~ sP66_prd
| op(e0,e1) != e1
| op(e1,e0) != e1
| sP59_prd ),
inference(cnf_transformation,[status(thm)],[f697]) ).
fof(f707,plain,
( op(e0,e3) = e0
| op(e0,e0) = e2
| ~ sP67_prd
| ~ sP66_prd
| op(e0,e1) != e1
| op(e1,e0) != e1
| sP59_prd ),
inference(cnf_transformation,[status(thm)],[f697]) ).
fof(f709,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)],[f645]) ).
fof(f710,plain,
( op(e1,e1) != e0
| op(e1,e0) != e1
| ~ sP60_prd ),
inference(cnf_transformation,[status(thm)],[f709]) ).
fof(f711,plain,
( op(e1,e0) = e1
| sP60_prd ),
inference(cnf_transformation,[status(thm)],[f709]) ).
fof(f712,plain,
( op(e1,e1) = e0
| sP60_prd ),
inference(cnf_transformation,[status(thm)],[f709]) ).
fof(f713,plain,
( ( ( op(e1,e1) = e1
& op(e1,e1) = e1 )
| sP61_prd )
& ( op(e1,e1) != e1
| op(e1,e1) != e1
| ~ sP61_prd ) ),
inference(NNF_transformation,[status(thm)],[f646]) ).
fof(f714,plain,
( op(e1,e1) != e1
| op(e1,e1) != e1
| ~ sP61_prd ),
inference(cnf_transformation,[status(thm)],[f713]) ).
fof(f715,plain,
( op(e1,e1) = e1
| sP61_prd ),
inference(cnf_transformation,[status(thm)],[f713]) ).
fof(f717,definition,
( sP68_prd
<=> ( ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 )
& op(e0,e0) = e2 )
| ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& op(e0,e0) = e1 )
| ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP68_prd])],[]) ).
fof(f718,plain,
( sP62_prd
<=> ( ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 )
& op(e0,e0) = e3 )
| sP68_prd ) ),
inference(formula_renaming,[status(thm)],[f668,f717]) ).
fof(f719,definition,
( sP69_prd
<=> ( op(e0,e3) = e0
| op(e0,e0) != e3 ) ),
introduced(definition,[new_symbols(definition,[sP69_prd])],[]) ).
fof(f720,definition,
( sP70_prd
<=> ( op(e1,e3) = e1
| op(e1,e1) != e3 ) ),
introduced(definition,[new_symbols(definition,[sP70_prd])],[]) ).
fof(f721,plain,
( sP62_prd
<=> ( ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& sP70_prd
& sP69_prd
& op(e0,e0) = e3 )
| sP68_prd ) ),
inference(formula_renaming,[status(thm)],[f718,f720,f719]) ).
fof(f722,plain,
( ( ( ( ( op(e3,e3) != e3
& op(e3,e3) = e3 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3 )
| ~ sP70_prd
| ~ sP69_prd
| op(e0,e0) != e3 )
& ~ sP68_prd )
| sP62_prd )
& ( ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& sP70_prd
& sP69_prd
& op(e0,e0) = e3 )
| sP68_prd
| ~ sP62_prd ) ),
inference(NNF_transformation,[status(thm)],[f721]) ).
fof(f723,plain,
( op(e0,e0) = e3
| sP68_prd
| ~ sP62_prd ),
inference(cnf_transformation,[status(thm)],[f722]) ).
fof(f724,plain,
( sP69_prd
| sP68_prd
| ~ sP62_prd ),
inference(cnf_transformation,[status(thm)],[f722]) ).
fof(f725,plain,
( sP70_prd
| sP68_prd
| ~ sP62_prd ),
inference(cnf_transformation,[status(thm)],[f722]) ).
fof(f726,plain,
( op(e2,e3) = e2
| op(e2,e2) != e3
| sP68_prd
| ~ sP62_prd ),
inference(cnf_transformation,[status(thm)],[f722]) ).
fof(f728,plain,
( ~ sP68_prd
| sP62_prd ),
inference(cnf_transformation,[status(thm)],[f722]) ).
fof(f729,plain,
( op(e3,e3) = e3
| op(e2,e2) = e3
| ~ sP70_prd
| ~ sP69_prd
| op(e0,e0) != e3
| sP62_prd ),
inference(cnf_transformation,[status(thm)],[f722]) ).
fof(f730,plain,
( op(e3,e3) != e3
| op(e2,e2) = e3
| ~ sP70_prd
| ~ sP69_prd
| op(e0,e0) != e3
| sP62_prd ),
inference(cnf_transformation,[status(thm)],[f722]) ).
fof(f731,plain,
( op(e3,e3) = e3
| op(e2,e3) != e2
| ~ sP70_prd
| ~ sP69_prd
| op(e0,e0) != e3
| sP62_prd ),
inference(cnf_transformation,[status(thm)],[f722]) ).
fof(f733,plain,
( ( ( op(e0,e0) != e0
& op(e0,e0) = e0 )
| sP63_prd )
& ( op(e0,e0) = e0
| op(e0,e0) != e0
| ~ sP63_prd ) ),
inference(NNF_transformation,[status(thm)],[f670]) ).
fof(f735,plain,
( op(e0,e0) = e0
| sP63_prd ),
inference(cnf_transformation,[status(thm)],[f733]) ).
fof(f736,plain,
( op(e0,e0) != e0
| sP63_prd ),
inference(cnf_transformation,[status(thm)],[f733]) ).
fof(f737,plain,
( ( ( op(e1,e0) != e1
& op(e1,e1) = e0 )
| sP64_prd )
& ( op(e1,e0) = e1
| op(e1,e1) != e0
| ~ sP64_prd ) ),
inference(NNF_transformation,[status(thm)],[f671]) ).
fof(f738,plain,
( op(e1,e0) = e1
| op(e1,e1) != e0
| ~ sP64_prd ),
inference(cnf_transformation,[status(thm)],[f737]) ).
fof(f739,plain,
( op(e1,e1) = e0
| sP64_prd ),
inference(cnf_transformation,[status(thm)],[f737]) ).
fof(f740,plain,
( op(e1,e0) != e1
| sP64_prd ),
inference(cnf_transformation,[status(thm)],[f737]) ).
fof(f741,definition,
( sP71_prd
<=> ( ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != 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(f742,plain,
( sP65_prd
<=> ( ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| sP71_prd ) ),
inference(formula_renaming,[status(thm)],[f692,f741]) ).
fof(f743,definition,
( sP72_prd
<=> ( op(e3,e3) != e0
| op(e3,e0) != e3 ) ),
introduced(definition,[new_symbols(definition,[sP72_prd])],[]) ).
fof(f744,definition,
( sP73_prd
<=> ( op(e3,e3) != e1
| op(e3,e1) != e3 ) ),
introduced(definition,[new_symbols(definition,[sP73_prd])],[]) ).
fof(f745,plain,
( sP65_prd
<=> ( ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& sP73_prd
& sP72_prd
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| sP71_prd ) ),
inference(formula_renaming,[status(thm)],[f742,f744,f743]) ).
fof(f746,plain,
( ( ( ( ( op(e3,e3) = e3
& op(e3,e3) = e3 )
| ( op(e3,e3) = e2
& op(e3,e2) = e3 )
| ~ sP73_prd
| ~ sP72_prd
| op(e3,e0) != e0
| op(e0,e3) != e0 )
& ~ sP71_prd )
| sP65_prd )
& ( ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& sP73_prd
& sP72_prd
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| sP71_prd
| ~ sP65_prd ) ),
inference(NNF_transformation,[status(thm)],[f745]) ).
fof(f747,plain,
( op(e0,e3) = e0
| sP71_prd
| ~ sP65_prd ),
inference(cnf_transformation,[status(thm)],[f746]) ).
fof(f748,plain,
( op(e3,e0) = e0
| sP71_prd
| ~ sP65_prd ),
inference(cnf_transformation,[status(thm)],[f746]) ).
fof(f749,plain,
( sP72_prd
| sP71_prd
| ~ sP65_prd ),
inference(cnf_transformation,[status(thm)],[f746]) ).
fof(f750,plain,
( sP73_prd
| sP71_prd
| ~ sP65_prd ),
inference(cnf_transformation,[status(thm)],[f746]) ).
fof(f751,plain,
( op(e3,e3) != e2
| op(e3,e2) != e3
| sP71_prd
| ~ sP65_prd ),
inference(cnf_transformation,[status(thm)],[f746]) ).
fof(f752,plain,
( op(e3,e3) != e3
| op(e3,e3) != e3
| sP71_prd
| ~ sP65_prd ),
inference(cnf_transformation,[status(thm)],[f746]) ).
fof(f753,plain,
( ~ sP71_prd
| sP65_prd ),
inference(cnf_transformation,[status(thm)],[f746]) ).
fof(f756,plain,
( op(e3,e3) = e3
| op(e3,e3) = e2
| ~ sP73_prd
| ~ sP72_prd
| op(e3,e0) != e0
| op(e0,e3) != e0
| sP65_prd ),
inference(cnf_transformation,[status(thm)],[f746]) ).
fof(f758,plain,
( ( ( op(e0,e0) = e0
& op(e0,e0) = e0 )
| sP66_prd )
& ( op(e0,e0) != e0
| op(e0,e0) != e0
| ~ sP66_prd ) ),
inference(NNF_transformation,[status(thm)],[f694]) ).
fof(f759,plain,
( op(e0,e0) != e0
| op(e0,e0) != e0
| ~ sP66_prd ),
inference(cnf_transformation,[status(thm)],[f758]) ).
fof(f760,plain,
( op(e0,e0) = e0
| sP66_prd ),
inference(cnf_transformation,[status(thm)],[f758]) ).
fof(f762,plain,
( ( ( op(e0,e0) = e1
& op(e0,e1) = e0 )
| sP67_prd )
& ( op(e0,e0) != e1
| op(e0,e1) != e0
| ~ sP67_prd ) ),
inference(NNF_transformation,[status(thm)],[f695]) ).
fof(f763,plain,
( op(e0,e0) != e1
| op(e0,e1) != e0
| ~ sP67_prd ),
inference(cnf_transformation,[status(thm)],[f762]) ).
fof(f764,plain,
( op(e0,e1) = e0
| sP67_prd ),
inference(cnf_transformation,[status(thm)],[f762]) ).
fof(f765,plain,
( op(e0,e0) = e1
| sP67_prd ),
inference(cnf_transformation,[status(thm)],[f762]) ).
fof(f766,definition,
( sP74_prd
<=> ( ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& op(e0,e0) = e1 )
| ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP74_prd])],[]) ).
fof(f767,plain,
( sP68_prd
<=> ( ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 )
& op(e0,e0) = e2 )
| sP74_prd ) ),
inference(formula_renaming,[status(thm)],[f717,f766]) ).
fof(f768,definition,
( sP75_prd
<=> ( op(e0,e2) = e0
| op(e0,e0) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP75_prd])],[]) ).
fof(f769,definition,
( sP76_prd
<=> ( op(e1,e2) = e1
| op(e1,e1) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP76_prd])],[]) ).
fof(f770,plain,
( sP68_prd
<=> ( ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& sP76_prd
& sP75_prd
& op(e0,e0) = e2 )
| sP74_prd ) ),
inference(formula_renaming,[status(thm)],[f767,f769,f768]) ).
fof(f771,plain,
( ( ( ( ( op(e3,e2) != e3
& op(e3,e3) = e2 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2 )
| ~ sP76_prd
| ~ sP75_prd
| op(e0,e0) != e2 )
& ~ sP74_prd )
| sP68_prd )
& ( ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& sP76_prd
& sP75_prd
& op(e0,e0) = e2 )
| sP74_prd
| ~ sP68_prd ) ),
inference(NNF_transformation,[status(thm)],[f770]) ).
fof(f772,plain,
( op(e0,e0) = e2
| sP74_prd
| ~ sP68_prd ),
inference(cnf_transformation,[status(thm)],[f771]) ).
fof(f773,plain,
( sP75_prd
| sP74_prd
| ~ sP68_prd ),
inference(cnf_transformation,[status(thm)],[f771]) ).
fof(f774,plain,
( sP76_prd
| sP74_prd
| ~ sP68_prd ),
inference(cnf_transformation,[status(thm)],[f771]) ).
fof(f776,plain,
( op(e3,e2) = e3
| op(e3,e3) != e2
| sP74_prd
| ~ sP68_prd ),
inference(cnf_transformation,[status(thm)],[f771]) ).
fof(f777,plain,
( ~ sP74_prd
| sP68_prd ),
inference(cnf_transformation,[status(thm)],[f771]) ).
fof(f778,plain,
( op(e3,e3) = e2
| op(e2,e2) = e2
| ~ sP76_prd
| ~ sP75_prd
| op(e0,e0) != e2
| sP68_prd ),
inference(cnf_transformation,[status(thm)],[f771]) ).
fof(f780,plain,
( op(e3,e3) = e2
| op(e2,e2) != e2
| ~ sP76_prd
| ~ sP75_prd
| op(e0,e0) != e2
| sP68_prd ),
inference(cnf_transformation,[status(thm)],[f771]) ).
fof(f781,plain,
( op(e3,e2) != e3
| op(e2,e2) != e2
| ~ sP76_prd
| ~ sP75_prd
| op(e0,e0) != e2
| sP68_prd ),
inference(cnf_transformation,[status(thm)],[f771]) ).
fof(f782,plain,
( ( ( op(e0,e3) != e0
& op(e0,e0) = e3 )
| sP69_prd )
& ( op(e0,e3) = e0
| op(e0,e0) != e3
| ~ sP69_prd ) ),
inference(NNF_transformation,[status(thm)],[f719]) ).
fof(f783,plain,
( op(e0,e3) = e0
| op(e0,e0) != e3
| ~ sP69_prd ),
inference(cnf_transformation,[status(thm)],[f782]) ).
fof(f784,plain,
( op(e0,e0) = e3
| sP69_prd ),
inference(cnf_transformation,[status(thm)],[f782]) ).
fof(f785,plain,
( op(e0,e3) != e0
| sP69_prd ),
inference(cnf_transformation,[status(thm)],[f782]) ).
fof(f786,plain,
( ( ( op(e1,e3) != e1
& op(e1,e1) = e3 )
| sP70_prd )
& ( op(e1,e3) = e1
| op(e1,e1) != e3
| ~ sP70_prd ) ),
inference(NNF_transformation,[status(thm)],[f720]) ).
fof(f787,plain,
( op(e1,e3) = e1
| op(e1,e1) != e3
| ~ sP70_prd ),
inference(cnf_transformation,[status(thm)],[f786]) ).
fof(f788,plain,
( op(e1,e1) = e3
| sP70_prd ),
inference(cnf_transformation,[status(thm)],[f786]) ).
fof(f789,plain,
( op(e1,e3) != e1
| sP70_prd ),
inference(cnf_transformation,[status(thm)],[f786]) ).
fof(f790,definition,
( sP77_prd
<=> ( ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != 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(f791,plain,
( sP71_prd
<=> ( ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| sP77_prd ) ),
inference(formula_renaming,[status(thm)],[f741,f790]) ).
fof(f792,definition,
( sP78_prd
<=> ( op(e2,e2) != e0
| op(e2,e0) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP78_prd])],[]) ).
fof(f793,definition,
( sP79_prd
<=> ( op(e2,e2) != e1
| op(e2,e1) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP79_prd])],[]) ).
fof(f794,plain,
( sP71_prd
<=> ( ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& sP79_prd
& sP78_prd
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| sP77_prd ) ),
inference(formula_renaming,[status(thm)],[f791,f793,f792]) ).
fof(f795,plain,
( ( ( ( ( op(e2,e2) = e3
& op(e2,e3) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2 )
| ~ sP79_prd
| ~ sP78_prd
| op(e2,e0) != e0
| op(e0,e2) != e0 )
& ~ sP77_prd )
| sP71_prd )
& ( ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& sP79_prd
& sP78_prd
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| sP77_prd
| ~ sP71_prd ) ),
inference(NNF_transformation,[status(thm)],[f794]) ).
fof(f796,plain,
( op(e0,e2) = e0
| sP77_prd
| ~ sP71_prd ),
inference(cnf_transformation,[status(thm)],[f795]) ).
fof(f797,plain,
( op(e2,e0) = e0
| sP77_prd
| ~ sP71_prd ),
inference(cnf_transformation,[status(thm)],[f795]) ).
fof(f798,plain,
( sP78_prd
| sP77_prd
| ~ sP71_prd ),
inference(cnf_transformation,[status(thm)],[f795]) ).
fof(f799,plain,
( sP79_prd
| sP77_prd
| ~ sP71_prd ),
inference(cnf_transformation,[status(thm)],[f795]) ).
fof(f800,plain,
( op(e2,e2) != e2
| op(e2,e2) != e2
| sP77_prd
| ~ sP71_prd ),
inference(cnf_transformation,[status(thm)],[f795]) ).
fof(f801,plain,
( op(e2,e2) != e3
| op(e2,e3) != e2
| sP77_prd
| ~ sP71_prd ),
inference(cnf_transformation,[status(thm)],[f795]) ).
fof(f802,plain,
( ~ sP77_prd
| sP71_prd ),
inference(cnf_transformation,[status(thm)],[f795]) ).
fof(f803,plain,
( op(e2,e3) = e2
| op(e2,e2) = e2
| ~ sP79_prd
| ~ sP78_prd
| op(e2,e0) != e0
| op(e0,e2) != e0
| sP71_prd ),
inference(cnf_transformation,[status(thm)],[f795]) ).
fof(f804,plain,
( op(e2,e2) = e3
| op(e2,e2) = e2
| ~ sP79_prd
| ~ sP78_prd
| op(e2,e0) != e0
| op(e0,e2) != e0
| sP71_prd ),
inference(cnf_transformation,[status(thm)],[f795]) ).
fof(f807,plain,
( ( ( op(e3,e3) = e0
& op(e3,e0) = e3 )
| sP72_prd )
& ( op(e3,e3) != e0
| op(e3,e0) != e3
| ~ sP72_prd ) ),
inference(NNF_transformation,[status(thm)],[f743]) ).
fof(f808,plain,
( op(e3,e3) != e0
| op(e3,e0) != e3
| ~ sP72_prd ),
inference(cnf_transformation,[status(thm)],[f807]) ).
fof(f809,plain,
( op(e3,e0) = e3
| sP72_prd ),
inference(cnf_transformation,[status(thm)],[f807]) ).
fof(f810,plain,
( op(e3,e3) = e0
| sP72_prd ),
inference(cnf_transformation,[status(thm)],[f807]) ).
fof(f811,plain,
( ( ( op(e3,e3) = e1
& op(e3,e1) = e3 )
| sP73_prd )
& ( op(e3,e3) != e1
| op(e3,e1) != e3
| ~ sP73_prd ) ),
inference(NNF_transformation,[status(thm)],[f744]) ).
fof(f812,plain,
( op(e3,e3) != e1
| op(e3,e1) != e3
| ~ sP73_prd ),
inference(cnf_transformation,[status(thm)],[f811]) ).
fof(f813,plain,
( op(e3,e1) = e3
| sP73_prd ),
inference(cnf_transformation,[status(thm)],[f811]) ).
fof(f814,plain,
( op(e3,e3) = e1
| sP73_prd ),
inference(cnf_transformation,[status(thm)],[f811]) ).
fof(f815,definition,
( sP80_prd
<=> ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ),
introduced(definition,[new_symbols(definition,[sP80_prd])],[]) ).
fof(f816,plain,
( sP74_prd
<=> ( ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& op(e0,e0) = e1 )
| sP80_prd ) ),
inference(formula_renaming,[status(thm)],[f766,f815]) ).
fof(f817,definition,
( sP81_prd
<=> ( op(e0,e1) = e0
| op(e0,e0) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP81_prd])],[]) ).
fof(f818,definition,
( sP82_prd
<=> ( op(e1,e1) = e1
| op(e1,e1) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP82_prd])],[]) ).
fof(f819,plain,
( sP74_prd
<=> ( ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& sP82_prd
& sP81_prd
& op(e0,e0) = e1 )
| sP80_prd ) ),
inference(formula_renaming,[status(thm)],[f816,f818,f817]) ).
fof(f820,plain,
( ( ( ( ( op(e3,e1) != e3
& op(e3,e3) = e1 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1 )
| ~ sP82_prd
| ~ sP81_prd
| op(e0,e0) != e1 )
& ~ sP80_prd )
| sP74_prd )
& ( ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& sP82_prd
& sP81_prd
& op(e0,e0) = e1 )
| sP80_prd
| ~ sP74_prd ) ),
inference(NNF_transformation,[status(thm)],[f819]) ).
fof(f821,plain,
( op(e0,e0) = e1
| sP80_prd
| ~ sP74_prd ),
inference(cnf_transformation,[status(thm)],[f820]) ).
fof(f822,plain,
( sP81_prd
| sP80_prd
| ~ sP74_prd ),
inference(cnf_transformation,[status(thm)],[f820]) ).
fof(f823,plain,
( sP82_prd
| sP80_prd
| ~ sP74_prd ),
inference(cnf_transformation,[status(thm)],[f820]) ).
fof(f824,plain,
( op(e2,e1) = e2
| op(e2,e2) != e1
| sP80_prd
| ~ sP74_prd ),
inference(cnf_transformation,[status(thm)],[f820]) ).
fof(f825,plain,
( op(e3,e1) = e3
| op(e3,e3) != e1
| sP80_prd
| ~ sP74_prd ),
inference(cnf_transformation,[status(thm)],[f820]) ).
fof(f826,plain,
( ~ sP80_prd
| sP74_prd ),
inference(cnf_transformation,[status(thm)],[f820]) ).
fof(f827,plain,
( op(e3,e3) = e1
| op(e2,e2) = e1
| ~ sP82_prd
| ~ sP81_prd
| op(e0,e0) != e1
| sP74_prd ),
inference(cnf_transformation,[status(thm)],[f820]) ).
fof(f829,plain,
( op(e3,e3) = e1
| op(e2,e1) != e2
| ~ sP82_prd
| ~ sP81_prd
| op(e0,e0) != e1
| sP74_prd ),
inference(cnf_transformation,[status(thm)],[f820]) ).
fof(f831,plain,
( ( ( op(e0,e2) != e0
& op(e0,e0) = e2 )
| sP75_prd )
& ( op(e0,e2) = e0
| op(e0,e0) != e2
| ~ sP75_prd ) ),
inference(NNF_transformation,[status(thm)],[f768]) ).
fof(f832,plain,
( op(e0,e2) = e0
| op(e0,e0) != e2
| ~ sP75_prd ),
inference(cnf_transformation,[status(thm)],[f831]) ).
fof(f833,plain,
( op(e0,e0) = e2
| sP75_prd ),
inference(cnf_transformation,[status(thm)],[f831]) ).
fof(f834,plain,
( op(e0,e2) != e0
| sP75_prd ),
inference(cnf_transformation,[status(thm)],[f831]) ).
fof(f835,plain,
( ( ( op(e1,e2) != e1
& op(e1,e1) = e2 )
| sP76_prd )
& ( op(e1,e2) = e1
| op(e1,e1) != e2
| ~ sP76_prd ) ),
inference(NNF_transformation,[status(thm)],[f769]) ).
fof(f836,plain,
( op(e1,e2) = e1
| op(e1,e1) != e2
| ~ sP76_prd ),
inference(cnf_transformation,[status(thm)],[f835]) ).
fof(f837,plain,
( op(e1,e1) = e2
| sP76_prd ),
inference(cnf_transformation,[status(thm)],[f835]) ).
fof(f838,plain,
( op(e1,e2) != e1
| sP76_prd ),
inference(cnf_transformation,[status(thm)],[f835]) ).
fof(f839,definition,
( sP83_prd
<=> ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != 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(f840,plain,
( sP77_prd
<=> ( ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| sP83_prd ) ),
inference(formula_renaming,[status(thm)],[f790,f839]) ).
fof(f841,definition,
( sP84_prd
<=> ( op(e1,e1) != e0
| op(e1,e0) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP84_prd])],[]) ).
fof(f842,definition,
( sP85_prd
<=> ( op(e1,e1) != e1
| op(e1,e1) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP85_prd])],[]) ).
fof(f843,plain,
( sP77_prd
<=> ( ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& sP85_prd
& sP84_prd
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| sP83_prd ) ),
inference(formula_renaming,[status(thm)],[f840,f842,f841]) ).
fof(f844,plain,
( ( ( ( ( op(e1,e1) = e3
& op(e1,e3) = e1 )
| ( op(e1,e1) = e2
& op(e1,e2) = e1 )
| ~ sP85_prd
| ~ sP84_prd
| op(e1,e0) != e0
| op(e0,e1) != e0 )
& ~ sP83_prd )
| sP77_prd )
& ( ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& sP85_prd
& sP84_prd
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| sP83_prd
| ~ sP77_prd ) ),
inference(NNF_transformation,[status(thm)],[f843]) ).
fof(f845,plain,
( op(e0,e1) = e0
| sP83_prd
| ~ sP77_prd ),
inference(cnf_transformation,[status(thm)],[f844]) ).
fof(f846,plain,
( op(e1,e0) = e0
| sP83_prd
| ~ sP77_prd ),
inference(cnf_transformation,[status(thm)],[f844]) ).
fof(f848,plain,
( sP85_prd
| sP83_prd
| ~ sP77_prd ),
inference(cnf_transformation,[status(thm)],[f844]) ).
fof(f849,plain,
( op(e1,e1) != e2
| op(e1,e2) != e1
| sP83_prd
| ~ sP77_prd ),
inference(cnf_transformation,[status(thm)],[f844]) ).
fof(f850,plain,
( op(e1,e1) != e3
| op(e1,e3) != e1
| sP83_prd
| ~ sP77_prd ),
inference(cnf_transformation,[status(thm)],[f844]) ).
fof(f851,plain,
( ~ sP83_prd
| sP77_prd ),
inference(cnf_transformation,[status(thm)],[f844]) ).
fof(f853,plain,
( op(e1,e1) = e3
| op(e1,e2) = e1
| ~ sP85_prd
| ~ sP84_prd
| op(e1,e0) != e0
| op(e0,e1) != e0
| sP77_prd ),
inference(cnf_transformation,[status(thm)],[f844]) ).
fof(f854,plain,
( op(e1,e3) = e1
| op(e1,e1) = e2
| ~ sP85_prd
| ~ sP84_prd
| op(e1,e0) != e0
| op(e0,e1) != e0
| sP77_prd ),
inference(cnf_transformation,[status(thm)],[f844]) ).
fof(f856,plain,
( ( ( op(e2,e2) = e0
& op(e2,e0) = e2 )
| sP78_prd )
& ( op(e2,e2) != e0
| op(e2,e0) != e2
| ~ sP78_prd ) ),
inference(NNF_transformation,[status(thm)],[f792]) ).
fof(f857,plain,
( op(e2,e2) != e0
| op(e2,e0) != e2
| ~ sP78_prd ),
inference(cnf_transformation,[status(thm)],[f856]) ).
fof(f858,plain,
( op(e2,e0) = e2
| sP78_prd ),
inference(cnf_transformation,[status(thm)],[f856]) ).
fof(f859,plain,
( op(e2,e2) = e0
| sP78_prd ),
inference(cnf_transformation,[status(thm)],[f856]) ).
fof(f860,plain,
( ( ( op(e2,e2) = e1
& op(e2,e1) = e2 )
| sP79_prd )
& ( op(e2,e2) != e1
| op(e2,e1) != e2
| ~ sP79_prd ) ),
inference(NNF_transformation,[status(thm)],[f793]) ).
fof(f861,plain,
( op(e2,e2) != e1
| op(e2,e1) != e2
| ~ sP79_prd ),
inference(cnf_transformation,[status(thm)],[f860]) ).
fof(f862,plain,
( op(e2,e1) = e2
| sP79_prd ),
inference(cnf_transformation,[status(thm)],[f860]) ).
fof(f863,plain,
( op(e2,e2) = e1
| sP79_prd ),
inference(cnf_transformation,[status(thm)],[f860]) ).
fof(f864,definition,
( sP86_prd
<=> ( op(e0,e0) = e0
| op(e0,e0) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP86_prd])],[]) ).
fof(f865,definition,
( sP87_prd
<=> ( op(e1,e0) = e1
| op(e1,e1) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP87_prd])],[]) ).
fof(f866,plain,
( sP80_prd
<=> ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& sP87_prd
& sP86_prd
& op(e0,e0) = e0 ) ),
inference(formula_renaming,[status(thm)],[f815,f865,f864]) ).
fof(f867,plain,
( ( ( op(e3,e0) != e3
& op(e3,e3) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0 )
| ~ sP87_prd
| ~ sP86_prd
| op(e0,e0) != e0
| sP80_prd )
& ( ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& sP87_prd
& sP86_prd
& op(e0,e0) = e0 )
| ~ sP80_prd ) ),
inference(NNF_transformation,[status(thm)],[f866]) ).
fof(f868,plain,
( op(e0,e0) = e0
| ~ sP80_prd ),
inference(cnf_transformation,[status(thm)],[f867]) ).
fof(f870,plain,
( sP87_prd
| ~ sP80_prd ),
inference(cnf_transformation,[status(thm)],[f867]) ).
fof(f871,plain,
( op(e2,e0) = e2
| op(e2,e2) != e0
| ~ sP80_prd ),
inference(cnf_transformation,[status(thm)],[f867]) ).
fof(f872,plain,
( op(e3,e0) = e3
| op(e3,e3) != e0
| ~ sP80_prd ),
inference(cnf_transformation,[status(thm)],[f867]) ).
fof(f873,plain,
( op(e3,e3) = e0
| op(e2,e2) = e0
| ~ sP87_prd
| ~ sP86_prd
| op(e0,e0) != e0
| sP80_prd ),
inference(cnf_transformation,[status(thm)],[f867]) ).
fof(f874,plain,
( op(e3,e0) != e3
| op(e2,e2) = e0
| ~ sP87_prd
| ~ sP86_prd
| op(e0,e0) != e0
| sP80_prd ),
inference(cnf_transformation,[status(thm)],[f867]) ).
fof(f875,plain,
( op(e3,e3) = e0
| op(e2,e0) != e2
| ~ sP87_prd
| ~ sP86_prd
| op(e0,e0) != e0
| sP80_prd ),
inference(cnf_transformation,[status(thm)],[f867]) ).
fof(f877,plain,
( ( ( op(e0,e1) != e0
& op(e0,e0) = e1 )
| sP81_prd )
& ( op(e0,e1) = e0
| op(e0,e0) != e1
| ~ sP81_prd ) ),
inference(NNF_transformation,[status(thm)],[f817]) ).
fof(f878,plain,
( op(e0,e1) = e0
| op(e0,e0) != e1
| ~ sP81_prd ),
inference(cnf_transformation,[status(thm)],[f877]) ).
fof(f879,plain,
( op(e0,e0) = e1
| sP81_prd ),
inference(cnf_transformation,[status(thm)],[f877]) ).
fof(f880,plain,
( op(e0,e1) != e0
| sP81_prd ),
inference(cnf_transformation,[status(thm)],[f877]) ).
fof(f881,plain,
( ( ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| sP82_prd )
& ( op(e1,e1) = e1
| op(e1,e1) != e1
| ~ sP82_prd ) ),
inference(NNF_transformation,[status(thm)],[f818]) ).
fof(f883,plain,
( op(e1,e1) = e1
| sP82_prd ),
inference(cnf_transformation,[status(thm)],[f881]) ).
fof(f884,plain,
( op(e1,e1) != e1
| sP82_prd ),
inference(cnf_transformation,[status(thm)],[f881]) ).
fof(f885,definition,
( sP88_prd
<=> ( op(e0,e0) != e0
| op(e0,e0) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP88_prd])],[]) ).
fof(f886,definition,
( sP89_prd
<=> ( op(e0,e0) != e1
| op(e0,e1) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP89_prd])],[]) ).
fof(f887,plain,
( sP83_prd
<=> ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& sP89_prd
& sP88_prd
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ),
inference(formula_renaming,[status(thm)],[f839,f886,f885]) ).
fof(f888,plain,
( ( ( op(e0,e0) = e3
& op(e0,e3) = e0 )
| ( op(e0,e0) = e2
& op(e0,e2) = e0 )
| ~ sP89_prd
| ~ sP88_prd
| op(e0,e0) != e0
| op(e0,e0) != e0
| sP83_prd )
& ( ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& sP89_prd
& sP88_prd
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ~ sP83_prd ) ),
inference(NNF_transformation,[status(thm)],[f887]) ).
fof(f889,plain,
( op(e0,e0) = e0
| ~ sP83_prd ),
inference(cnf_transformation,[status(thm)],[f888]) ).
fof(f891,plain,
( sP88_prd
| ~ sP83_prd ),
inference(cnf_transformation,[status(thm)],[f888]) ).
fof(f892,plain,
( sP89_prd
| ~ sP83_prd ),
inference(cnf_transformation,[status(thm)],[f888]) ).
fof(f893,plain,
( op(e0,e0) != e2
| op(e0,e2) != e0
| ~ sP83_prd ),
inference(cnf_transformation,[status(thm)],[f888]) ).
fof(f894,plain,
( op(e0,e0) != e3
| op(e0,e3) != e0
| ~ sP83_prd ),
inference(cnf_transformation,[status(thm)],[f888]) ).
fof(f899,plain,
( ( ( op(e1,e1) = e0
& op(e1,e0) = e1 )
| sP84_prd )
& ( op(e1,e1) != e0
| op(e1,e0) != e1
| ~ sP84_prd ) ),
inference(NNF_transformation,[status(thm)],[f841]) ).
fof(f900,plain,
( op(e1,e1) != e0
| op(e1,e0) != e1
| ~ sP84_prd ),
inference(cnf_transformation,[status(thm)],[f899]) ).
fof(f901,plain,
( op(e1,e0) = e1
| sP84_prd ),
inference(cnf_transformation,[status(thm)],[f899]) ).
fof(f902,plain,
( op(e1,e1) = e0
| sP84_prd ),
inference(cnf_transformation,[status(thm)],[f899]) ).
fof(f903,plain,
( ( ( op(e1,e1) = e1
& op(e1,e1) = e1 )
| sP85_prd )
& ( op(e1,e1) != e1
| op(e1,e1) != e1
| ~ sP85_prd ) ),
inference(NNF_transformation,[status(thm)],[f842]) ).
fof(f904,plain,
( op(e1,e1) != e1
| op(e1,e1) != e1
| ~ sP85_prd ),
inference(cnf_transformation,[status(thm)],[f903]) ).
fof(f905,plain,
( op(e1,e1) = e1
| sP85_prd ),
inference(cnf_transformation,[status(thm)],[f903]) ).
fof(f907,plain,
( ( ( op(e0,e0) != e0
& op(e0,e0) = e0 )
| sP86_prd )
& ( op(e0,e0) = e0
| op(e0,e0) != e0
| ~ sP86_prd ) ),
inference(NNF_transformation,[status(thm)],[f864]) ).
fof(f909,plain,
( op(e0,e0) = e0
| sP86_prd ),
inference(cnf_transformation,[status(thm)],[f907]) ).
fof(f910,plain,
( op(e0,e0) != e0
| sP86_prd ),
inference(cnf_transformation,[status(thm)],[f907]) ).
fof(f911,plain,
( ( ( op(e1,e0) != e1
& op(e1,e1) = e0 )
| sP87_prd )
& ( op(e1,e0) = e1
| op(e1,e1) != e0
| ~ sP87_prd ) ),
inference(NNF_transformation,[status(thm)],[f865]) ).
fof(f912,plain,
( op(e1,e0) = e1
| op(e1,e1) != e0
| ~ sP87_prd ),
inference(cnf_transformation,[status(thm)],[f911]) ).
fof(f913,plain,
( op(e1,e1) = e0
| sP87_prd ),
inference(cnf_transformation,[status(thm)],[f911]) ).
fof(f914,plain,
( op(e1,e0) != e1
| sP87_prd ),
inference(cnf_transformation,[status(thm)],[f911]) ).
fof(f915,plain,
( ( ( op(e0,e0) = e0
& op(e0,e0) = e0 )
| sP88_prd )
& ( op(e0,e0) != e0
| op(e0,e0) != e0
| ~ sP88_prd ) ),
inference(NNF_transformation,[status(thm)],[f885]) ).
fof(f916,plain,
( op(e0,e0) != e0
| op(e0,e0) != e0
| ~ sP88_prd ),
inference(cnf_transformation,[status(thm)],[f915]) ).
fof(f917,plain,
( op(e0,e0) = e0
| sP88_prd ),
inference(cnf_transformation,[status(thm)],[f915]) ).
fof(f919,plain,
( ( ( op(e0,e0) = e1
& op(e0,e1) = e0 )
| sP89_prd )
& ( op(e0,e0) != e1
| op(e0,e1) != e0
| ~ sP89_prd ) ),
inference(NNF_transformation,[status(thm)],[f886]) ).
fof(f920,plain,
( op(e0,e0) != e1
| op(e0,e1) != e0
| ~ sP89_prd ),
inference(cnf_transformation,[status(thm)],[f919]) ).
fof(f921,plain,
( op(e0,e1) = e0
| sP89_prd ),
inference(cnf_transformation,[status(thm)],[f919]) ).
fof(f922,plain,
( op(e0,e0) = e1
| sP89_prd ),
inference(cnf_transformation,[status(thm)],[f919]) ).
fof(f923,definition,
( sQ0_spl
<=> op(e0,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f924,plain,
( ~ sQ0_spl
| op(e0,e0) = e0 ),
inference(component_clause,[status(thm)],[f923]) ).
fof(f926,definition,
( sQ1_spl
<=> op(e0,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f927,plain,
( ~ sQ1_spl
| op(e0,e0) = e1 ),
inference(component_clause,[status(thm)],[f926]) ).
fof(f929,definition,
( sQ2_spl
<=> op(e0,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f930,plain,
( ~ sQ2_spl
| op(e0,e0) = e2 ),
inference(component_clause,[status(thm)],[f929]) ).
fof(f932,definition,
( sQ3_spl
<=> op(e0,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f933,plain,
( ~ sQ3_spl
| op(e0,e0) = e3 ),
inference(component_clause,[status(thm)],[f932]) ).
fof(f935,plain,
( sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f30,f923,f926,f929,f932]) ).
fof(f936,definition,
( sQ4_spl
<=> op(e0,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f937,plain,
( ~ sQ4_spl
| op(e0,e1) = e0 ),
inference(component_clause,[status(thm)],[f936]) ).
fof(f939,definition,
( sQ5_spl
<=> op(e0,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f940,plain,
( ~ sQ5_spl
| op(e0,e1) = e1 ),
inference(component_clause,[status(thm)],[f939]) ).
fof(f942,definition,
( sQ6_spl
<=> op(e0,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f943,plain,
( ~ sQ6_spl
| op(e0,e1) = e2 ),
inference(component_clause,[status(thm)],[f942]) ).
fof(f945,definition,
( sQ7_spl
<=> op(e0,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f946,plain,
( ~ sQ7_spl
| op(e0,e1) = e3 ),
inference(component_clause,[status(thm)],[f945]) ).
fof(f948,plain,
( sQ7_spl
| sQ6_spl
| sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f31,f936,f939,f942,f945]) ).
fof(f949,definition,
( sQ8_spl
<=> op(e0,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f950,plain,
( ~ sQ8_spl
| op(e0,e2) = e0 ),
inference(component_clause,[status(thm)],[f949]) ).
fof(f952,definition,
( sQ9_spl
<=> op(e0,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f953,plain,
( ~ sQ9_spl
| op(e0,e2) = e1 ),
inference(component_clause,[status(thm)],[f952]) ).
fof(f955,definition,
( sQ10_spl
<=> op(e0,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f956,plain,
( ~ sQ10_spl
| op(e0,e2) = e2 ),
inference(component_clause,[status(thm)],[f955]) ).
fof(f958,definition,
( sQ11_spl
<=> op(e0,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f959,plain,
( ~ sQ11_spl
| op(e0,e2) = e3 ),
inference(component_clause,[status(thm)],[f958]) ).
fof(f961,plain,
( sQ11_spl
| sQ10_spl
| sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f32,f949,f952,f955,f958]) ).
fof(f962,definition,
( sQ12_spl
<=> op(e0,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f963,plain,
( ~ sQ12_spl
| op(e0,e3) = e0 ),
inference(component_clause,[status(thm)],[f962]) ).
fof(f965,definition,
( sQ13_spl
<=> op(e0,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f966,plain,
( ~ sQ13_spl
| op(e0,e3) = e1 ),
inference(component_clause,[status(thm)],[f965]) ).
fof(f968,definition,
( sQ14_spl
<=> op(e0,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f969,plain,
( ~ sQ14_spl
| op(e0,e3) = e2 ),
inference(component_clause,[status(thm)],[f968]) ).
fof(f971,definition,
( sQ15_spl
<=> op(e0,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f972,plain,
( ~ sQ15_spl
| op(e0,e3) = e3 ),
inference(component_clause,[status(thm)],[f971]) ).
fof(f974,plain,
( sQ15_spl
| sQ14_spl
| sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f33,f962,f965,f968,f971]) ).
fof(f975,definition,
( sQ16_spl
<=> op(e1,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f976,plain,
( ~ sQ16_spl
| op(e1,e0) = e0 ),
inference(component_clause,[status(thm)],[f975]) ).
fof(f978,definition,
( sQ17_spl
<=> op(e1,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f979,plain,
( ~ sQ17_spl
| op(e1,e0) = e1 ),
inference(component_clause,[status(thm)],[f978]) ).
fof(f981,definition,
( sQ18_spl
<=> op(e1,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f982,plain,
( ~ sQ18_spl
| op(e1,e0) = e2 ),
inference(component_clause,[status(thm)],[f981]) ).
fof(f984,definition,
( sQ19_spl
<=> op(e1,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f985,plain,
( ~ sQ19_spl
| op(e1,e0) = e3 ),
inference(component_clause,[status(thm)],[f984]) ).
fof(f987,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f34,f975,f978,f981,f984]) ).
fof(f988,definition,
( sQ20_spl
<=> op(e1,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f989,plain,
( ~ sQ20_spl
| op(e1,e1) = e0 ),
inference(component_clause,[status(thm)],[f988]) ).
fof(f991,definition,
( sQ21_spl
<=> op(e1,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f992,plain,
( ~ sQ21_spl
| op(e1,e1) = e1 ),
inference(component_clause,[status(thm)],[f991]) ).
fof(f994,definition,
( sQ22_spl
<=> op(e1,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f995,plain,
( ~ sQ22_spl
| op(e1,e1) = e2 ),
inference(component_clause,[status(thm)],[f994]) ).
fof(f997,definition,
( sQ23_spl
<=> op(e1,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f998,plain,
( ~ sQ23_spl
| op(e1,e1) = e3 ),
inference(component_clause,[status(thm)],[f997]) ).
fof(f1000,plain,
( sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f35,f988,f991,f994,f997]) ).
fof(f1001,definition,
( sQ24_spl
<=> op(e1,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f1002,plain,
( ~ sQ24_spl
| op(e1,e2) = e0 ),
inference(component_clause,[status(thm)],[f1001]) ).
fof(f1004,definition,
( sQ25_spl
<=> op(e1,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f1005,plain,
( ~ sQ25_spl
| op(e1,e2) = e1 ),
inference(component_clause,[status(thm)],[f1004]) ).
fof(f1007,definition,
( sQ26_spl
<=> op(e1,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f1008,plain,
( ~ sQ26_spl
| op(e1,e2) = e2 ),
inference(component_clause,[status(thm)],[f1007]) ).
fof(f1010,definition,
( sQ27_spl
<=> op(e1,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f1011,plain,
( ~ sQ27_spl
| op(e1,e2) = e3 ),
inference(component_clause,[status(thm)],[f1010]) ).
fof(f1013,plain,
( sQ27_spl
| sQ26_spl
| sQ25_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f36,f1001,f1004,f1007,f1010]) ).
fof(f1014,definition,
( sQ28_spl
<=> op(e1,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f1015,plain,
( ~ sQ28_spl
| op(e1,e3) = e0 ),
inference(component_clause,[status(thm)],[f1014]) ).
fof(f1017,definition,
( sQ29_spl
<=> op(e1,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f1018,plain,
( ~ sQ29_spl
| op(e1,e3) = e1 ),
inference(component_clause,[status(thm)],[f1017]) ).
fof(f1020,definition,
( sQ30_spl
<=> op(e1,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f1021,plain,
( ~ sQ30_spl
| op(e1,e3) = e2 ),
inference(component_clause,[status(thm)],[f1020]) ).
fof(f1023,definition,
( sQ31_spl
<=> op(e1,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f1024,plain,
( ~ sQ31_spl
| op(e1,e3) = e3 ),
inference(component_clause,[status(thm)],[f1023]) ).
fof(f1026,plain,
( sQ31_spl
| sQ30_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f37,f1014,f1017,f1020,f1023]) ).
fof(f1027,definition,
( sQ32_spl
<=> op(e2,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f1028,plain,
( ~ sQ32_spl
| op(e2,e0) = e0 ),
inference(component_clause,[status(thm)],[f1027]) ).
fof(f1030,definition,
( sQ33_spl
<=> op(e2,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f1031,plain,
( ~ sQ33_spl
| op(e2,e0) = e1 ),
inference(component_clause,[status(thm)],[f1030]) ).
fof(f1033,definition,
( sQ34_spl
<=> op(e2,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f1034,plain,
( ~ sQ34_spl
| op(e2,e0) = e2 ),
inference(component_clause,[status(thm)],[f1033]) ).
fof(f1036,definition,
( sQ35_spl
<=> op(e2,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f1037,plain,
( ~ sQ35_spl
| op(e2,e0) = e3 ),
inference(component_clause,[status(thm)],[f1036]) ).
fof(f1039,plain,
( sQ35_spl
| sQ34_spl
| sQ33_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f38,f1027,f1030,f1033,f1036]) ).
fof(f1040,definition,
( sQ36_spl
<=> op(e2,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f1041,plain,
( ~ sQ36_spl
| op(e2,e1) = e0 ),
inference(component_clause,[status(thm)],[f1040]) ).
fof(f1043,definition,
( sQ37_spl
<=> op(e2,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f1044,plain,
( ~ sQ37_spl
| op(e2,e1) = e1 ),
inference(component_clause,[status(thm)],[f1043]) ).
fof(f1046,definition,
( sQ38_spl
<=> op(e2,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f1047,plain,
( ~ sQ38_spl
| op(e2,e1) = e2 ),
inference(component_clause,[status(thm)],[f1046]) ).
fof(f1049,definition,
( sQ39_spl
<=> op(e2,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f1050,plain,
( ~ sQ39_spl
| op(e2,e1) = e3 ),
inference(component_clause,[status(thm)],[f1049]) ).
fof(f1052,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f39,f1040,f1043,f1046,f1049]) ).
fof(f1053,definition,
( sQ40_spl
<=> op(e2,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f1054,plain,
( ~ sQ40_spl
| op(e2,e2) = e0 ),
inference(component_clause,[status(thm)],[f1053]) ).
fof(f1056,definition,
( sQ41_spl
<=> op(e2,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f1057,plain,
( ~ sQ41_spl
| op(e2,e2) = e1 ),
inference(component_clause,[status(thm)],[f1056]) ).
fof(f1059,definition,
( sQ42_spl
<=> op(e2,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f1060,plain,
( ~ sQ42_spl
| op(e2,e2) = e2 ),
inference(component_clause,[status(thm)],[f1059]) ).
fof(f1062,definition,
( sQ43_spl
<=> op(e2,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f1063,plain,
( ~ sQ43_spl
| op(e2,e2) = e3 ),
inference(component_clause,[status(thm)],[f1062]) ).
fof(f1065,plain,
( sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f40,f1053,f1056,f1059,f1062]) ).
fof(f1066,definition,
( sQ44_spl
<=> op(e2,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f1067,plain,
( ~ sQ44_spl
| op(e2,e3) = e0 ),
inference(component_clause,[status(thm)],[f1066]) ).
fof(f1069,definition,
( sQ45_spl
<=> op(e2,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f1070,plain,
( ~ sQ45_spl
| op(e2,e3) = e1 ),
inference(component_clause,[status(thm)],[f1069]) ).
fof(f1072,definition,
( sQ46_spl
<=> op(e2,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f1073,plain,
( ~ sQ46_spl
| op(e2,e3) = e2 ),
inference(component_clause,[status(thm)],[f1072]) ).
fof(f1075,definition,
( sQ47_spl
<=> op(e2,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f1076,plain,
( ~ sQ47_spl
| op(e2,e3) = e3 ),
inference(component_clause,[status(thm)],[f1075]) ).
fof(f1078,plain,
( sQ47_spl
| sQ46_spl
| sQ45_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f41,f1066,f1069,f1072,f1075]) ).
fof(f1079,definition,
( sQ48_spl
<=> op(e3,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f1080,plain,
( ~ sQ48_spl
| op(e3,e0) = e0 ),
inference(component_clause,[status(thm)],[f1079]) ).
fof(f1082,definition,
( sQ49_spl
<=> op(e3,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f1083,plain,
( ~ sQ49_spl
| op(e3,e0) = e1 ),
inference(component_clause,[status(thm)],[f1082]) ).
fof(f1085,definition,
( sQ50_spl
<=> op(e3,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f1086,plain,
( ~ sQ50_spl
| op(e3,e0) = e2 ),
inference(component_clause,[status(thm)],[f1085]) ).
fof(f1088,definition,
( sQ51_spl
<=> op(e3,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f1089,plain,
( ~ sQ51_spl
| op(e3,e0) = e3 ),
inference(component_clause,[status(thm)],[f1088]) ).
fof(f1091,plain,
( sQ51_spl
| sQ50_spl
| sQ49_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f42,f1079,f1082,f1085,f1088]) ).
fof(f1092,definition,
( sQ52_spl
<=> op(e3,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f1093,plain,
( ~ sQ52_spl
| op(e3,e1) = e0 ),
inference(component_clause,[status(thm)],[f1092]) ).
fof(f1095,definition,
( sQ53_spl
<=> op(e3,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f1096,plain,
( ~ sQ53_spl
| op(e3,e1) = e1 ),
inference(component_clause,[status(thm)],[f1095]) ).
fof(f1098,definition,
( sQ54_spl
<=> op(e3,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f1099,plain,
( ~ sQ54_spl
| op(e3,e1) = e2 ),
inference(component_clause,[status(thm)],[f1098]) ).
fof(f1101,definition,
( sQ55_spl
<=> op(e3,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f1102,plain,
( ~ sQ55_spl
| op(e3,e1) = e3 ),
inference(component_clause,[status(thm)],[f1101]) ).
fof(f1104,plain,
( sQ55_spl
| sQ54_spl
| sQ53_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f43,f1092,f1095,f1098,f1101]) ).
fof(f1105,definition,
( sQ56_spl
<=> op(e3,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f1106,plain,
( ~ sQ56_spl
| op(e3,e2) = e0 ),
inference(component_clause,[status(thm)],[f1105]) ).
fof(f1108,definition,
( sQ57_spl
<=> op(e3,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f1109,plain,
( ~ sQ57_spl
| op(e3,e2) = e1 ),
inference(component_clause,[status(thm)],[f1108]) ).
fof(f1111,definition,
( sQ58_spl
<=> op(e3,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f1112,plain,
( ~ sQ58_spl
| op(e3,e2) = e2 ),
inference(component_clause,[status(thm)],[f1111]) ).
fof(f1114,definition,
( sQ59_spl
<=> op(e3,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f1115,plain,
( ~ sQ59_spl
| op(e3,e2) = e3 ),
inference(component_clause,[status(thm)],[f1114]) ).
fof(f1117,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f44,f1105,f1108,f1111,f1114]) ).
fof(f1118,definition,
( sQ60_spl
<=> op(e3,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f1119,plain,
( ~ sQ60_spl
| op(e3,e3) = e0 ),
inference(component_clause,[status(thm)],[f1118]) ).
fof(f1121,definition,
( sQ61_spl
<=> op(e3,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f1122,plain,
( ~ sQ61_spl
| op(e3,e3) = e1 ),
inference(component_clause,[status(thm)],[f1121]) ).
fof(f1124,definition,
( sQ62_spl
<=> op(e3,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f1125,plain,
( ~ sQ62_spl
| op(e3,e3) = e2 ),
inference(component_clause,[status(thm)],[f1124]) ).
fof(f1127,definition,
( sQ63_spl
<=> op(e3,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f1128,plain,
( ~ sQ63_spl
| op(e3,e3) = e3 ),
inference(component_clause,[status(thm)],[f1127]) ).
fof(f1130,plain,
( sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f45,f1118,f1121,f1124,f1127]) ).
fof(f1131,plain,
( sQ12_spl
| sQ8_spl
| sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f46,f923,f936,f949,f962]) ).
fof(f1132,plain,
( sQ48_spl
| sQ32_spl
| sQ16_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f47,f923,f975,f1027,f1079]) ).
fof(f1133,plain,
( sQ13_spl
| sQ9_spl
| sQ5_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f48,f926,f939,f952,f965]) ).
fof(f1134,plain,
( sQ49_spl
| sQ33_spl
| sQ17_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f49,f926,f978,f1030,f1082]) ).
fof(f1135,plain,
( sQ14_spl
| sQ10_spl
| sQ6_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f50,f929,f942,f955,f968]) ).
fof(f1136,plain,
( sQ50_spl
| sQ34_spl
| sQ18_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f51,f929,f981,f1033,f1085]) ).
fof(f1137,plain,
( sQ15_spl
| sQ11_spl
| sQ7_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f52,f932,f945,f958,f971]) ).
fof(f1138,plain,
( sQ51_spl
| sQ35_spl
| sQ19_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f53,f932,f984,f1036,f1088]) ).
fof(f1139,plain,
( sQ28_spl
| sQ24_spl
| sQ20_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f54,f975,f988,f1001,f1014]) ).
fof(f1140,plain,
( sQ52_spl
| sQ36_spl
| sQ20_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f55,f936,f988,f1040,f1092]) ).
fof(f1141,plain,
( sQ29_spl
| sQ25_spl
| sQ21_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f56,f978,f991,f1004,f1017]) ).
fof(f1142,plain,
( sQ53_spl
| sQ37_spl
| sQ21_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f57,f939,f991,f1043,f1095]) ).
fof(f1143,plain,
( sQ30_spl
| sQ26_spl
| sQ22_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f58,f981,f994,f1007,f1020]) ).
fof(f1144,plain,
( sQ54_spl
| sQ38_spl
| sQ22_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f59,f942,f994,f1046,f1098]) ).
fof(f1145,plain,
( sQ31_spl
| sQ27_spl
| sQ23_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f60,f984,f997,f1010,f1023]) ).
fof(f1146,plain,
( sQ55_spl
| sQ39_spl
| sQ23_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f61,f945,f997,f1049,f1101]) ).
fof(f1147,plain,
( sQ44_spl
| sQ40_spl
| sQ36_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f62,f1027,f1040,f1053,f1066]) ).
fof(f1148,plain,
( sQ56_spl
| sQ40_spl
| sQ24_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f63,f949,f1001,f1053,f1105]) ).
fof(f1149,plain,
( sQ45_spl
| sQ41_spl
| sQ37_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f64,f1030,f1043,f1056,f1069]) ).
fof(f1150,plain,
( sQ57_spl
| sQ41_spl
| sQ25_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f65,f952,f1004,f1056,f1108]) ).
fof(f1151,plain,
( sQ46_spl
| sQ42_spl
| sQ38_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f66,f1033,f1046,f1059,f1072]) ).
fof(f1152,plain,
( sQ58_spl
| sQ42_spl
| sQ26_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f67,f955,f1007,f1059,f1111]) ).
fof(f1153,plain,
( sQ47_spl
| sQ43_spl
| sQ39_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f68,f1036,f1049,f1062,f1075]) ).
fof(f1154,plain,
( sQ59_spl
| sQ43_spl
| sQ27_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f69,f958,f1010,f1062,f1114]) ).
fof(f1155,plain,
( sQ60_spl
| sQ56_spl
| sQ52_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f70,f1079,f1092,f1105,f1118]) ).
fof(f1156,plain,
( sQ60_spl
| sQ44_spl
| sQ28_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f71,f962,f1014,f1066,f1118]) ).
fof(f1157,plain,
( sQ61_spl
| sQ57_spl
| sQ53_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f72,f1082,f1095,f1108,f1121]) ).
fof(f1158,plain,
( sQ61_spl
| sQ45_spl
| sQ29_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f73,f965,f1017,f1069,f1121]) ).
fof(f1159,plain,
( sQ62_spl
| sQ58_spl
| sQ54_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f74,f1085,f1098,f1111,f1124]) ).
fof(f1160,plain,
( sQ62_spl
| sQ46_spl
| sQ30_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f75,f968,f1020,f1072,f1124]) ).
fof(f1161,plain,
( sQ63_spl
| sQ59_spl
| sQ55_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f76,f1088,f1101,f1114,f1127]) ).
fof(f1162,plain,
( sQ63_spl
| sQ47_spl
| sQ31_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f77,f971,f1023,f1075,f1127]) ).
fof(f1163,definition,
( sQ64_spl
<=> sP0_prd ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f1166,plain,
( sQ63_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f135,f1163,f1127]) ).
fof(f1167,plain,
( sQ12_spl
| ~ sQ3_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f136,f1163,f932,f962]) ).
fof(f1168,plain,
( sQ29_spl
| ~ sQ23_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f137,f1163,f997,f1017]) ).
fof(f1169,plain,
( sQ46_spl
| ~ sQ43_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f138,f1163,f1062,f1072]) ).
fof(f1171,definition,
( sQ65_spl
<=> sP1_prd ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f1174,plain,
( sQ63_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f140,f1171,f1127]) ).
fof(f1176,plain,
( ~ sQ60_spl
| ~ sQ51_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f142,f1171,f1088,f1118]) ).
fof(f1177,plain,
( ~ sQ61_spl
| ~ sQ55_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f143,f1171,f1101,f1121]) ).
fof(f1179,plain,
( ~ sQ63_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f145,f1171,f1127]) ).
fof(f1180,definition,
( sQ66_spl
<=> e0 = op(op(e2,e2),op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f1182,plain,
( sQ66_spl
| e0 != op(op(e2,e2),op(e2,e2)) ),
inference(component_clause,[status(thm)],[f1180]) ).
fof(f1183,definition,
( sQ67_spl
<=> e3 = op(e2,op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f1185,plain,
( sQ67_spl
| e3 != op(e2,op(e2,e2)) ),
inference(component_clause,[status(thm)],[f1183]) ).
fof(f1186,plain,
( ~ sQ67_spl
| ~ sQ41_spl
| ~ sQ66_spl ),
inference(split_clause,[status(thm)],[f147,f1180,f1056,f1183]) ).
fof(f1187,definition,
( sQ68_spl
<=> e0 = op(op(e3,e3),op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f1189,plain,
( sQ68_spl
| e0 != op(op(e3,e3),op(e3,e3)) ),
inference(component_clause,[status(thm)],[f1187]) ).
fof(f1190,definition,
( sQ69_spl
<=> e2 = op(e3,op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f1192,plain,
( sQ69_spl
| e2 != op(e3,op(e3,e3)) ),
inference(component_clause,[status(thm)],[f1190]) ).
fof(f1193,plain,
( ~ sQ69_spl
| ~ sQ61_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f149,f1187,f1121,f1190]) ).
fof(f1194,definition,
( sQ70_spl
<=> e0 = op(op(e1,e1),op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f1196,plain,
( sQ70_spl
| e0 != op(op(e1,e1),op(e1,e1)) ),
inference(component_clause,[status(thm)],[f1194]) ).
fof(f1197,definition,
( sQ71_spl
<=> e3 = op(e1,op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f1199,plain,
( sQ71_spl
| e3 != op(e1,op(e1,e1)) ),
inference(component_clause,[status(thm)],[f1197]) ).
fof(f1200,plain,
( ~ sQ71_spl
| ~ sQ22_spl
| ~ sQ70_spl ),
inference(split_clause,[status(thm)],[f151,f1194,f994,f1197]) ).
fof(f1201,definition,
( sQ72_spl
<=> e1 = op(e3,op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f1203,plain,
( sQ72_spl
| e1 != op(e3,op(e3,e3)) ),
inference(component_clause,[status(thm)],[f1201]) ).
fof(f1204,plain,
( ~ sQ72_spl
| ~ sQ62_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f153,f1187,f1124,f1201]) ).
fof(f1205,definition,
( sQ73_spl
<=> e2 = op(e1,op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f1207,plain,
( sQ73_spl
| e2 != op(e1,op(e1,e1)) ),
inference(component_clause,[status(thm)],[f1205]) ).
fof(f1208,plain,
( ~ sQ73_spl
| ~ sQ23_spl
| ~ sQ70_spl ),
inference(split_clause,[status(thm)],[f155,f1194,f997,f1205]) ).
fof(f1209,definition,
( sQ74_spl
<=> e1 = op(e2,op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f1211,plain,
( sQ74_spl
| e1 != op(e2,op(e2,e2)) ),
inference(component_clause,[status(thm)],[f1209]) ).
fof(f1212,plain,
( ~ sQ74_spl
| ~ sQ43_spl
| ~ sQ66_spl ),
inference(split_clause,[status(thm)],[f157,f1180,f1062,f1209]) ).
fof(f1213,definition,
( sQ75_spl
<=> e1 = op(op(e2,e2),op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f1215,plain,
( sQ75_spl
| e1 != op(op(e2,e2),op(e2,e2)) ),
inference(component_clause,[status(thm)],[f1213]) ).
fof(f1216,plain,
( ~ sQ67_spl
| ~ sQ40_spl
| ~ sQ75_spl ),
inference(split_clause,[status(thm)],[f159,f1213,f1053,f1183]) ).
fof(f1217,definition,
( sQ76_spl
<=> e1 = op(op(e3,e3),op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f1219,plain,
( sQ76_spl
| e1 != op(op(e3,e3),op(e3,e3)) ),
inference(component_clause,[status(thm)],[f1217]) ).
fof(f1220,plain,
( ~ sQ69_spl
| ~ sQ60_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f161,f1217,f1118,f1190]) ).
fof(f1221,definition,
( sQ77_spl
<=> e1 = op(op(e0,e0),op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f1223,plain,
( sQ77_spl
| e1 != op(op(e0,e0),op(e0,e0)) ),
inference(component_clause,[status(thm)],[f1221]) ).
fof(f1224,definition,
( sQ78_spl
<=> e3 = op(e0,op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f1226,plain,
( sQ78_spl
| e3 != op(e0,op(e0,e0)) ),
inference(component_clause,[status(thm)],[f1224]) ).
fof(f1227,plain,
( ~ sQ78_spl
| ~ sQ2_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f163,f1221,f929,f1224]) ).
fof(f1228,definition,
( sQ79_spl
<=> e0 = op(e3,op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f1230,plain,
( sQ79_spl
| e0 != op(e3,op(e3,e3)) ),
inference(component_clause,[status(thm)],[f1228]) ).
fof(f1231,plain,
( ~ sQ79_spl
| ~ sQ62_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f165,f1217,f1124,f1228]) ).
fof(f1232,definition,
( sQ80_spl
<=> e2 = op(e0,op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f1234,plain,
( sQ80_spl
| e2 != op(e0,op(e0,e0)) ),
inference(component_clause,[status(thm)],[f1232]) ).
fof(f1235,plain,
( ~ sQ80_spl
| ~ sQ3_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f167,f1221,f932,f1232]) ).
fof(f1236,definition,
( sQ81_spl
<=> e0 = op(e2,op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f1238,plain,
( sQ81_spl
| e0 != op(e2,op(e2,e2)) ),
inference(component_clause,[status(thm)],[f1236]) ).
fof(f1239,plain,
( ~ sQ81_spl
| ~ sQ43_spl
| ~ sQ75_spl ),
inference(split_clause,[status(thm)],[f169,f1213,f1062,f1236]) ).
fof(f1240,definition,
( sQ82_spl
<=> e2 = op(op(e1,e1),op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f1242,plain,
( sQ82_spl
| e2 != op(op(e1,e1),op(e1,e1)) ),
inference(component_clause,[status(thm)],[f1240]) ).
fof(f1243,plain,
( ~ sQ71_spl
| ~ sQ20_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f171,f1240,f988,f1197]) ).
fof(f1244,definition,
( sQ83_spl
<=> e2 = op(op(e3,e3),op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f1246,plain,
( sQ83_spl
| e2 != op(op(e3,e3),op(e3,e3)) ),
inference(component_clause,[status(thm)],[f1244]) ).
fof(f1248,definition,
( sQ84_spl
<=> e2 = op(op(e0,e0),op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f1250,plain,
( sQ84_spl
| e2 != op(op(e0,e0),op(e0,e0)) ),
inference(component_clause,[status(thm)],[f1248]) ).
fof(f1251,plain,
( ~ sQ78_spl
| ~ sQ1_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f175,f1248,f926,f1224]) ).
fof(f1252,plain,
( ~ sQ79_spl
| ~ sQ61_spl
| ~ sQ83_spl ),
inference(split_clause,[status(thm)],[f177,f1244,f1121,f1228]) ).
fof(f1253,definition,
( sQ85_spl
<=> e1 = op(e0,op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f1255,plain,
( sQ85_spl
| e1 != op(e0,op(e0,e0)) ),
inference(component_clause,[status(thm)],[f1253]) ).
fof(f1256,plain,
( ~ sQ85_spl
| ~ sQ3_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f179,f1248,f932,f1253]) ).
fof(f1257,definition,
( sQ86_spl
<=> e0 = op(e1,op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f1259,plain,
( sQ86_spl
| e0 != op(e1,op(e1,e1)) ),
inference(component_clause,[status(thm)],[f1257]) ).
fof(f1261,definition,
( sQ87_spl
<=> e3 = op(op(e1,e1),op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f1263,plain,
( sQ87_spl
| e3 != op(op(e1,e1),op(e1,e1)) ),
inference(component_clause,[status(thm)],[f1261]) ).
fof(f1264,plain,
( ~ sQ73_spl
| ~ sQ20_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f183,f1261,f988,f1205]) ).
fof(f1265,definition,
( sQ88_spl
<=> e3 = op(op(e2,e2),op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f1267,plain,
( sQ88_spl
| e3 != op(op(e2,e2),op(e2,e2)) ),
inference(component_clause,[status(thm)],[f1265]) ).
fof(f1268,plain,
( ~ sQ74_spl
| ~ sQ40_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f185,f1265,f1053,f1209]) ).
fof(f1269,definition,
( sQ89_spl
<=> e3 = op(op(e0,e0),op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f1271,plain,
( sQ89_spl
| e3 != op(op(e0,e0),op(e0,e0)) ),
inference(component_clause,[status(thm)],[f1269]) ).
fof(f1272,plain,
( ~ sQ80_spl
| ~ sQ1_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f187,f1269,f926,f1232]) ).
fof(f1273,plain,
( ~ sQ81_spl
| ~ sQ41_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f189,f1265,f1056,f1236]) ).
fof(f1274,plain,
( ~ sQ85_spl
| ~ sQ2_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f191,f1269,f929,f1253]) ).
fof(f1275,plain,
( ~ sQ86_spl
| ~ sQ22_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f193,f1261,f994,f1257]) ).
fof(f1276,definition,
( sQ90_spl
<=> sP2_prd ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f1279,plain,
( sQ62_spl
| sQ90_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f200,f1163,f1276,f1124]) ).
fof(f1280,definition,
( sQ91_spl
<=> sP3_prd ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f1283,plain,
( sQ91_spl
| sQ90_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f201,f1163,f1276,f1280]) ).
fof(f1284,definition,
( sQ92_spl
<=> sP4_prd ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f1287,plain,
( sQ92_spl
| sQ90_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f202,f1163,f1276,f1284]) ).
fof(f1289,plain,
( sQ59_spl
| ~ sQ62_spl
| sQ90_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f204,f1163,f1276,f1124,f1114]) ).
fof(f1290,plain,
( ~ sQ90_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f205,f1163,f1276]) ).
fof(f1295,definition,
( sQ93_spl
<=> sP5_prd ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f1298,plain,
( sQ59_spl
| sQ93_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f216,f1171,f1295,f1114]) ).
fof(f1299,plain,
( sQ47_spl
| sQ93_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f217,f1171,f1295,f1075]) ).
fof(f1300,definition,
( sQ94_spl
<=> sP6_prd ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f1303,plain,
( sQ94_spl
| sQ93_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f218,f1171,f1295,f1300]) ).
fof(f1304,definition,
( sQ95_spl
<=> sP7_prd ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f1307,plain,
( sQ95_spl
| sQ93_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f219,f1171,f1295,f1304]) ).
fof(f1308,plain,
( ~ sQ42_spl
| sQ93_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f220,f1171,f1295,f1059]) ).
fof(f1310,plain,
( ~ sQ93_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f222,f1171,f1295]) ).
fof(f1315,definition,
( sQ96_spl
<=> sP8_prd ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f1318,plain,
( sQ61_spl
| sQ96_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f233,f1276,f1315,f1121]) ).
fof(f1319,definition,
( sQ97_spl
<=> sP9_prd ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f1322,plain,
( sQ97_spl
| sQ96_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f234,f1276,f1315,f1319]) ).
fof(f1323,definition,
( sQ98_spl
<=> sP10_prd ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f1327,plain,
( sQ38_spl
| ~ sQ41_spl
| sQ96_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f236,f1276,f1315,f1056,f1046]) ).
fof(f1328,plain,
( sQ55_spl
| ~ sQ61_spl
| sQ96_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f237,f1276,f1315,f1121,f1101]) ).
fof(f1329,plain,
( ~ sQ96_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f238,f1276,f1315]) ).
fof(f1334,plain,
( sQ8_spl
| ~ sQ2_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f244,f1280,f929,f949]) ).
fof(f1335,plain,
( sQ2_spl
| sQ91_spl ),
inference(split_clause,[status(thm)],[f245,f1280,f929]) ).
fof(f1336,plain,
( ~ sQ8_spl
| sQ91_spl ),
inference(split_clause,[status(thm)],[f246,f1280,f949]) ).
fof(f1337,plain,
( sQ25_spl
| ~ sQ22_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f248,f1284,f994,f1004]) ).
fof(f1338,plain,
( sQ22_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f249,f1284,f994]) ).
fof(f1339,plain,
( ~ sQ25_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f250,f1284,f1004]) ).
fof(f1340,definition,
( sQ99_spl
<=> sP11_prd ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f1343,plain,
( sQ55_spl
| sQ99_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f257,f1295,f1340,f1101]) ).
fof(f1344,plain,
( sQ31_spl
| sQ99_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f258,f1295,f1340,f1023]) ).
fof(f1345,definition,
( sQ100_spl
<=> sP12_prd ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f1348,plain,
( sQ100_spl
| sQ99_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f259,f1295,f1340,f1345]) ).
fof(f1349,definition,
( sQ101_spl
<=> sP13_prd ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f1352,plain,
( sQ101_spl
| sQ99_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f260,f1295,f1340,f1349]) ).
fof(f1353,plain,
( ~ sQ22_spl
| ~ sQ25_spl
| sQ99_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f261,f1295,f1340,f1004,f994]) ).
fof(f1355,plain,
( ~ sQ99_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f263,f1295,f1340]) ).
fof(f1360,plain,
( ~ sQ40_spl
| ~ sQ34_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f269,f1300,f1033,f1053]) ).
fof(f1361,plain,
( sQ34_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f270,f1300,f1033]) ).
fof(f1362,plain,
( sQ40_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f271,f1300,f1053]) ).
fof(f1363,plain,
( ~ sQ41_spl
| ~ sQ38_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f273,f1304,f1046,f1056]) ).
fof(f1364,plain,
( sQ38_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f274,f1304,f1046]) ).
fof(f1365,plain,
( sQ41_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f275,f1304,f1056]) ).
fof(f1366,definition,
( sQ102_spl
<=> sP14_prd ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f1369,plain,
( sQ60_spl
| sQ102_spl
| ~ sQ96_spl ),
inference(split_clause,[status(thm)],[f282,f1315,f1366,f1118]) ).
fof(f1370,definition,
( sQ103_spl
<=> sP15_prd ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f1374,definition,
( sQ104_spl
<=> sP16_prd ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f1377,plain,
( sQ104_spl
| sQ102_spl
| ~ sQ96_spl ),
inference(split_clause,[status(thm)],[f284,f1315,f1366,f1374]) ).
fof(f1378,plain,
( sQ34_spl
| ~ sQ40_spl
| sQ102_spl
| ~ sQ96_spl ),
inference(split_clause,[status(thm)],[f285,f1315,f1366,f1053,f1033]) ).
fof(f1379,plain,
( sQ51_spl
| ~ sQ60_spl
| sQ102_spl
| ~ sQ96_spl ),
inference(split_clause,[status(thm)],[f286,f1315,f1366,f1118,f1088]) ).
fof(f1380,plain,
( ~ sQ102_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f287,f1315,f1366]) ).
fof(f1385,plain,
( sQ4_spl
| ~ sQ1_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f293,f1319,f926,f936]) ).
fof(f1386,plain,
( sQ1_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f294,f1319,f926]) ).
fof(f1387,plain,
( ~ sQ4_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f295,f1319,f936]) ).
fof(f1389,plain,
( sQ21_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f298,f1323,f991]) ).
fof(f1390,plain,
( ~ sQ21_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f299,f1323,f991]) ).
fof(f1391,definition,
( sQ105_spl
<=> sP17_prd ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f1394,plain,
( sQ51_spl
| sQ105_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f306,f1340,f1391,f1088]) ).
fof(f1395,plain,
( sQ15_spl
| sQ105_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f307,f1340,f1391,f971]) ).
fof(f1396,definition,
( sQ106_spl
<=> sP18_prd ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f1399,plain,
( sQ106_spl
| sQ105_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f308,f1340,f1391,f1396]) ).
fof(f1400,definition,
( sQ107_spl
<=> sP19_prd ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f1403,plain,
( sQ107_spl
| sQ105_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f309,f1340,f1391,f1400]) ).
fof(f1404,plain,
( ~ sQ2_spl
| ~ sQ8_spl
| sQ105_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f310,f1340,f1391,f949,f929]) ).
fof(f1406,plain,
( ~ sQ105_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f312,f1340,f1391]) ).
fof(f1411,plain,
( ~ sQ20_spl
| ~ sQ17_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f318,f1345,f978,f988]) ).
fof(f1412,plain,
( sQ17_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f319,f1345,f978]) ).
fof(f1413,plain,
( sQ20_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f320,f1345,f988]) ).
fof(f1414,plain,
( ~ sQ21_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f322,f1349,f991]) ).
fof(f1415,plain,
( sQ21_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f323,f1349,f991]) ).
fof(f1417,definition,
( sQ108_spl
<=> sP20_prd ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f1420,plain,
( sQ43_spl
| sQ108_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f331,f1366,f1417,f1062]) ).
fof(f1421,definition,
( sQ109_spl
<=> sP21_prd ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f1424,plain,
( sQ109_spl
| sQ108_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f332,f1366,f1417,f1421]) ).
fof(f1425,definition,
( sQ110_spl
<=> sP22_prd ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f1428,plain,
( sQ110_spl
| sQ108_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f333,f1366,f1417,f1425]) ).
fof(f1429,plain,
( sQ46_spl
| ~ sQ43_spl
| sQ108_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f334,f1366,f1417,f1062,f1072]) ).
fof(f1431,plain,
( ~ sQ108_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f336,f1366,f1417]) ).
fof(f1437,plain,
( sQ0_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f343,f1370,f923]) ).
fof(f1438,plain,
( ~ sQ0_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f344,f1370,f923]) ).
fof(f1439,plain,
( sQ17_spl
| ~ sQ20_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f346,f1374,f988,f978]) ).
fof(f1440,plain,
( sQ20_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f347,f1374,f988]) ).
fof(f1441,plain,
( ~ sQ17_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f348,f1374,f978]) ).
fof(f1442,definition,
( sQ111_spl
<=> sP23_prd ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f1445,plain,
( sQ46_spl
| sQ111_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f355,f1391,f1442,f1072]) ).
fof(f1446,plain,
( sQ58_spl
| sQ111_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f356,f1391,f1442,f1111]) ).
fof(f1447,definition,
( sQ112_spl
<=> sP24_prd ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f1450,plain,
( sQ112_spl
| sQ111_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f357,f1391,f1442,f1447]) ).
fof(f1451,definition,
( sQ113_spl
<=> sP25_prd ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f1454,plain,
( sQ113_spl
| sQ111_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f358,f1391,f1442,f1451]) ).
fof(f1456,plain,
( ~ sQ63_spl
| sQ111_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f360,f1391,f1442,f1127]) ).
fof(f1457,plain,
( ~ sQ111_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f361,f1391,f1442]) ).
fof(f1458,plain,
( sQ63_spl
| sQ59_spl
| ~ sQ113_spl
| ~ sQ112_spl
| ~ sQ58_spl
| ~ sQ46_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f362,f1391,f1072,f1111,f1447,f1451,f1114,f1127]) ).
fof(f1462,plain,
( ~ sQ0_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f367,f1396,f923]) ).
fof(f1463,plain,
( sQ0_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f368,f1396,f923]) ).
fof(f1465,plain,
( ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f371,f1400,f936,f926]) ).
fof(f1466,plain,
( sQ4_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f372,f1400,f936]) ).
fof(f1467,plain,
( sQ1_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f373,f1400,f926]) ).
fof(f1468,definition,
( sQ114_spl
<=> sP26_prd ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f1471,plain,
( sQ42_spl
| sQ114_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f380,f1417,f1468,f1059]) ).
fof(f1472,definition,
( sQ115_spl
<=> sP27_prd ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f1475,plain,
( sQ115_spl
| sQ114_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f381,f1417,f1468,f1472]) ).
fof(f1476,definition,
( sQ116_spl
<=> sP28_prd ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f1479,plain,
( sQ116_spl
| sQ114_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f382,f1417,f1468,f1476]) ).
fof(f1481,plain,
( sQ59_spl
| ~ sQ62_spl
| sQ114_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f384,f1417,f1468,f1124,f1114]) ).
fof(f1482,plain,
( ~ sQ114_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f385,f1417,f1468]) ).
fof(f1485,plain,
( sQ62_spl
| ~ sQ116_spl
| ~ sQ115_spl
| ~ sQ42_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f388,f1417,f1059,f1472,f1476,f1124]) ).
fof(f1486,plain,
( ~ sQ59_spl
| ~ sQ116_spl
| ~ sQ115_spl
| ~ sQ42_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f389,f1417,f1059,f1472,f1476,f1114]) ).
fof(f1487,plain,
( sQ12_spl
| ~ sQ3_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f391,f1421,f932,f962]) ).
fof(f1488,plain,
( sQ3_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f392,f1421,f932]) ).
fof(f1489,plain,
( ~ sQ12_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f393,f1421,f962]) ).
fof(f1490,plain,
( sQ29_spl
| ~ sQ23_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f395,f1425,f997,f1017]) ).
fof(f1491,plain,
( sQ23_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f396,f1425,f997]) ).
fof(f1492,plain,
( ~ sQ29_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f397,f1425,f1017]) ).
fof(f1493,definition,
( sQ117_spl
<=> sP29_prd ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f1496,plain,
( sQ42_spl
| sQ117_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f404,f1442,f1493,f1059]) ).
fof(f1498,definition,
( sQ118_spl
<=> sP30_prd ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f1501,plain,
( sQ118_spl
| sQ117_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f406,f1442,f1493,f1498]) ).
fof(f1502,definition,
( sQ119_spl
<=> sP31_prd ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f1505,plain,
( sQ119_spl
| sQ117_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f407,f1442,f1493,f1502]) ).
fof(f1506,plain,
( ~ sQ42_spl
| sQ117_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f408,f1442,f1493,f1059]) ).
fof(f1508,plain,
( ~ sQ117_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f410,f1442,f1493]) ).
fof(f1513,plain,
( ~ sQ60_spl
| ~ sQ51_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f416,f1447,f1088,f1118]) ).
fof(f1514,plain,
( sQ51_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f417,f1447,f1088]) ).
fof(f1515,plain,
( sQ60_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f418,f1447,f1118]) ).
fof(f1516,plain,
( ~ sQ61_spl
| ~ sQ55_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f420,f1451,f1101,f1121]) ).
fof(f1517,plain,
( sQ55_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f421,f1451,f1101]) ).
fof(f1518,plain,
( sQ61_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f422,f1451,f1121]) ).
fof(f1519,definition,
( sQ120_spl
<=> sP32_prd ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f1522,plain,
( sQ41_spl
| sQ120_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f429,f1468,f1519,f1056]) ).
fof(f1523,definition,
( sQ121_spl
<=> sP33_prd ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f1526,plain,
( sQ121_spl
| sQ120_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f430,f1468,f1519,f1523]) ).
fof(f1527,definition,
( sQ122_spl
<=> sP34_prd ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f1531,plain,
( sQ38_spl
| ~ sQ41_spl
| sQ120_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f432,f1468,f1519,f1056,f1046]) ).
fof(f1532,plain,
( sQ55_spl
| ~ sQ61_spl
| sQ120_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f433,f1468,f1519,f1121,f1101]) ).
fof(f1533,plain,
( ~ sQ120_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f434,f1468,f1519]) ).
fof(f1538,plain,
( sQ8_spl
| ~ sQ2_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f440,f1472,f929,f949]) ).
fof(f1539,plain,
( sQ2_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f441,f1472,f929]) ).
fof(f1540,plain,
( ~ sQ8_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f442,f1472,f949]) ).
fof(f1541,plain,
( sQ25_spl
| ~ sQ22_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f444,f1476,f994,f1004]) ).
fof(f1542,plain,
( sQ22_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f445,f1476,f994]) ).
fof(f1543,plain,
( ~ sQ25_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f446,f1476,f1004]) ).
fof(f1544,definition,
( sQ123_spl
<=> sP35_prd ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f1547,plain,
( sQ38_spl
| sQ123_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f453,f1493,f1544,f1046]) ).
fof(f1548,plain,
( sQ26_spl
| sQ123_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f454,f1493,f1544,f1007]) ).
fof(f1549,definition,
( sQ124_spl
<=> sP36_prd ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f1552,plain,
( sQ124_spl
| sQ123_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f455,f1493,f1544,f1549]) ).
fof(f1553,definition,
( sQ125_spl
<=> sP37_prd ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f1556,plain,
( sQ125_spl
| sQ123_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f456,f1493,f1544,f1553]) ).
fof(f1558,plain,
( ~ sQ23_spl
| ~ sQ29_spl
| sQ123_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f458,f1493,f1544,f1017,f997]) ).
fof(f1559,plain,
( ~ sQ123_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f459,f1493,f1544]) ).
fof(f1561,plain,
( sQ23_spl
| sQ25_spl
| ~ sQ125_spl
| ~ sQ124_spl
| ~ sQ26_spl
| ~ sQ38_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f461,f1493,f1046,f1007,f1549,f1553,f1004,f997]) ).
fof(f1563,plain,
( sQ23_spl
| sQ22_spl
| ~ sQ125_spl
| ~ sQ124_spl
| ~ sQ26_spl
| ~ sQ38_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f463,f1493,f1046,f1007,f1549,f1553,f994,f997]) ).
fof(f1564,plain,
( ~ sQ40_spl
| ~ sQ34_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f465,f1498,f1033,f1053]) ).
fof(f1565,plain,
( sQ34_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f466,f1498,f1033]) ).
fof(f1566,plain,
( sQ40_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f467,f1498,f1053]) ).
fof(f1567,plain,
( ~ sQ41_spl
| ~ sQ38_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f469,f1502,f1046,f1056]) ).
fof(f1568,plain,
( sQ38_spl
| sQ119_spl ),
inference(split_clause,[status(thm)],[f470,f1502,f1046]) ).
fof(f1569,plain,
( sQ41_spl
| sQ119_spl ),
inference(split_clause,[status(thm)],[f471,f1502,f1056]) ).
fof(f1570,definition,
( sQ126_spl
<=> sP38_prd ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f1573,plain,
( sQ40_spl
| sQ126_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f478,f1519,f1570,f1053]) ).
fof(f1574,definition,
( sQ127_spl
<=> sP39_prd ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f1578,definition,
( sQ128_spl
<=> sP40_prd ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f1581,plain,
( sQ128_spl
| sQ126_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f480,f1519,f1570,f1578]) ).
fof(f1582,plain,
( sQ34_spl
| ~ sQ40_spl
| sQ126_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f481,f1519,f1570,f1053,f1033]) ).
fof(f1583,plain,
( sQ51_spl
| ~ sQ60_spl
| sQ126_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f482,f1519,f1570,f1118,f1088]) ).
fof(f1584,plain,
( ~ sQ126_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f483,f1519,f1570]) ).
fof(f1587,plain,
( sQ60_spl
| ~ sQ34_spl
| ~ sQ128_spl
| ~ sQ127_spl
| ~ sQ40_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f486,f1519,f1053,f1574,f1578,f1033,f1118]) ).
fof(f1589,plain,
( sQ4_spl
| ~ sQ1_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f489,f1523,f926,f936]) ).
fof(f1590,plain,
( sQ1_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f490,f1523,f926]) ).
fof(f1591,plain,
( ~ sQ4_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f491,f1523,f936]) ).
fof(f1593,plain,
( sQ21_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f494,f1527,f991]) ).
fof(f1594,plain,
( ~ sQ21_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f495,f1527,f991]) ).
fof(f1595,definition,
( sQ129_spl
<=> sP41_prd ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f1598,plain,
( sQ34_spl
| sQ129_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f502,f1544,f1595,f1033]) ).
fof(f1599,plain,
( sQ10_spl
| sQ129_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f503,f1544,f1595,f955]) ).
fof(f1600,definition,
( sQ130_spl
<=> sP42_prd ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f1603,plain,
( sQ130_spl
| sQ129_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f504,f1544,f1595,f1600]) ).
fof(f1604,definition,
( sQ131_spl
<=> sP43_prd ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f1607,plain,
( sQ131_spl
| sQ129_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f505,f1544,f1595,f1604]) ).
fof(f1608,plain,
( ~ sQ2_spl
| ~ sQ8_spl
| sQ129_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f506,f1544,f1595,f949,f929]) ).
fof(f1609,plain,
( ~ sQ3_spl
| ~ sQ12_spl
| sQ129_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f507,f1544,f1595,f962,f932]) ).
fof(f1610,plain,
( ~ sQ129_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f508,f1544,f1595]) ).
fof(f1614,plain,
( sQ3_spl
| sQ2_spl
| ~ sQ131_spl
| ~ sQ130_spl
| ~ sQ10_spl
| ~ sQ34_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f512,f1544,f1033,f955,f1600,f1604,f929,f932]) ).
fof(f1615,plain,
( ~ sQ20_spl
| ~ sQ17_spl
| ~ sQ124_spl ),
inference(split_clause,[status(thm)],[f514,f1549,f978,f988]) ).
fof(f1616,plain,
( sQ17_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f515,f1549,f978]) ).
fof(f1617,plain,
( sQ20_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f516,f1549,f988]) ).
fof(f1618,plain,
( ~ sQ21_spl
| ~ sQ125_spl ),
inference(split_clause,[status(thm)],[f518,f1553,f991]) ).
fof(f1619,plain,
( sQ21_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f519,f1553,f991]) ).
fof(f1621,definition,
( sQ132_spl
<=> sP44_prd ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f1624,plain,
( sQ23_spl
| sQ132_spl
| ~ sQ126_spl ),
inference(split_clause,[status(thm)],[f527,f1570,f1621,f997]) ).
fof(f1625,definition,
( sQ133_spl
<=> sP45_prd ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f1628,plain,
( sQ133_spl
| sQ132_spl
| ~ sQ126_spl ),
inference(split_clause,[status(thm)],[f528,f1570,f1621,f1625]) ).
fof(f1629,definition,
( sQ134_spl
<=> sP46_prd ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f1632,plain,
( sQ134_spl
| sQ132_spl
| ~ sQ126_spl ),
inference(split_clause,[status(thm)],[f529,f1570,f1621,f1629]) ).
fof(f1633,plain,
( sQ46_spl
| ~ sQ43_spl
| sQ132_spl
| ~ sQ126_spl ),
inference(split_clause,[status(thm)],[f530,f1570,f1621,f1062,f1072]) ).
fof(f1635,plain,
( ~ sQ132_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f532,f1570,f1621]) ).
fof(f1636,plain,
( sQ63_spl
| sQ43_spl
| ~ sQ134_spl
| ~ sQ133_spl
| ~ sQ23_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f533,f1570,f997,f1625,f1629,f1062,f1127]) ).
fof(f1637,plain,
( ~ sQ63_spl
| sQ43_spl
| ~ sQ134_spl
| ~ sQ133_spl
| ~ sQ23_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f534,f1570,f997,f1625,f1629,f1062,f1127]) ).
fof(f1638,plain,
( sQ63_spl
| ~ sQ46_spl
| ~ sQ134_spl
| ~ sQ133_spl
| ~ sQ23_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f535,f1570,f997,f1625,f1629,f1072,f1127]) ).
fof(f1641,plain,
( sQ0_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f539,f1574,f923]) ).
fof(f1642,plain,
( ~ sQ0_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f540,f1574,f923]) ).
fof(f1643,plain,
( sQ17_spl
| ~ sQ20_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f542,f1578,f988,f978]) ).
fof(f1644,plain,
( sQ20_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f543,f1578,f988]) ).
fof(f1645,plain,
( ~ sQ17_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f544,f1578,f978]) ).
fof(f1646,definition,
( sQ135_spl
<=> sP47_prd ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f1649,plain,
( sQ29_spl
| sQ135_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f551,f1595,f1646,f1017]) ).
fof(f1650,plain,
( sQ53_spl
| sQ135_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f552,f1595,f1646,f1095]) ).
fof(f1651,definition,
( sQ136_spl
<=> sP48_prd ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f1654,plain,
( sQ136_spl
| sQ135_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f553,f1595,f1646,f1651]) ).
fof(f1655,definition,
( sQ137_spl
<=> sP49_prd ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f1659,plain,
( ~ sQ62_spl
| ~ sQ59_spl
| sQ135_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f555,f1595,f1646,f1114,f1124]) ).
fof(f1660,plain,
( ~ sQ63_spl
| sQ135_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f556,f1595,f1646,f1127]) ).
fof(f1661,plain,
( ~ sQ135_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f557,f1595,f1646]) ).
fof(f1662,plain,
( sQ63_spl
| sQ59_spl
| ~ sQ137_spl
| ~ sQ136_spl
| ~ sQ53_spl
| ~ sQ29_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f558,f1595,f1017,f1095,f1651,f1655,f1114,f1127]) ).
fof(f1664,plain,
( sQ63_spl
| sQ62_spl
| ~ sQ137_spl
| ~ sQ136_spl
| ~ sQ53_spl
| ~ sQ29_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f560,f1595,f1017,f1095,f1651,f1655,f1124,f1127]) ).
fof(f1666,plain,
( ~ sQ0_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f563,f1600,f923]) ).
fof(f1667,plain,
( sQ0_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f564,f1600,f923]) ).
fof(f1669,plain,
( ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f567,f1604,f936,f926]) ).
fof(f1670,plain,
( sQ4_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f568,f1604,f936]) ).
fof(f1671,plain,
( sQ1_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f569,f1604,f926]) ).
fof(f1672,definition,
( sQ138_spl
<=> sP50_prd ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f1675,plain,
( sQ22_spl
| sQ138_spl
| ~ sQ132_spl ),
inference(split_clause,[status(thm)],[f576,f1621,f1672,f994]) ).
fof(f1676,definition,
( sQ139_spl
<=> sP51_prd ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f1679,plain,
( sQ139_spl
| sQ138_spl
| ~ sQ132_spl ),
inference(split_clause,[status(thm)],[f577,f1621,f1672,f1676]) ).
fof(f1680,definition,
( sQ140_spl
<=> sP52_prd ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f1683,plain,
( sQ140_spl
| sQ138_spl
| ~ sQ132_spl ),
inference(split_clause,[status(thm)],[f578,f1621,f1672,f1680]) ).
fof(f1685,plain,
( sQ59_spl
| ~ sQ62_spl
| sQ138_spl
| ~ sQ132_spl ),
inference(split_clause,[status(thm)],[f580,f1621,f1672,f1124,f1114]) ).
fof(f1686,plain,
( ~ sQ138_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f581,f1621,f1672]) ).
fof(f1688,plain,
( ~ sQ59_spl
| sQ42_spl
| ~ sQ140_spl
| ~ sQ139_spl
| ~ sQ22_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f583,f1621,f994,f1676,f1680,f1059,f1114]) ).
fof(f1690,plain,
( ~ sQ59_spl
| ~ sQ42_spl
| ~ sQ140_spl
| ~ sQ139_spl
| ~ sQ22_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f585,f1621,f994,f1676,f1680,f1059,f1114]) ).
fof(f1691,plain,
( sQ12_spl
| ~ sQ3_spl
| ~ sQ133_spl ),
inference(split_clause,[status(thm)],[f587,f1625,f932,f962]) ).
fof(f1692,plain,
( sQ3_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f588,f1625,f932]) ).
fof(f1693,plain,
( ~ sQ12_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f589,f1625,f962]) ).
fof(f1694,plain,
( sQ29_spl
| ~ sQ23_spl
| ~ sQ134_spl ),
inference(split_clause,[status(thm)],[f591,f1629,f997,f1017]) ).
fof(f1695,plain,
( sQ23_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f592,f1629,f997]) ).
fof(f1696,plain,
( ~ sQ29_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f593,f1629,f1017]) ).
fof(f1697,definition,
( sQ141_spl
<=> sP53_prd ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f1700,plain,
( sQ25_spl
| sQ141_spl
| ~ sQ135_spl ),
inference(split_clause,[status(thm)],[f600,f1646,f1697,f1004]) ).
fof(f1701,plain,
( sQ37_spl
| sQ141_spl
| ~ sQ135_spl ),
inference(split_clause,[status(thm)],[f601,f1646,f1697,f1043]) ).
fof(f1702,definition,
( sQ142_spl
<=> sP54_prd ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f1705,plain,
( sQ142_spl
| sQ141_spl
| ~ sQ135_spl ),
inference(split_clause,[status(thm)],[f602,f1646,f1697,f1702]) ).
fof(f1706,definition,
( sQ143_spl
<=> sP55_prd ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f1710,plain,
( ~ sQ42_spl
| sQ141_spl
| ~ sQ135_spl ),
inference(split_clause,[status(thm)],[f604,f1646,f1697,f1059]) ).
fof(f1711,plain,
( ~ sQ43_spl
| ~ sQ46_spl
| sQ141_spl
| ~ sQ135_spl ),
inference(split_clause,[status(thm)],[f605,f1646,f1697,f1072,f1062]) ).
fof(f1712,plain,
( ~ sQ141_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f606,f1646,f1697]) ).
fof(f1714,plain,
( sQ43_spl
| sQ42_spl
| ~ sQ143_spl
| ~ sQ142_spl
| ~ sQ37_spl
| ~ sQ25_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f608,f1646,f1004,f1043,f1702,f1706,f1059,f1062]) ).
fof(f1717,plain,
( ~ sQ60_spl
| ~ sQ51_spl
| ~ sQ136_spl ),
inference(split_clause,[status(thm)],[f612,f1651,f1088,f1118]) ).
fof(f1718,plain,
( sQ51_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f613,f1651,f1088]) ).
fof(f1719,plain,
( sQ60_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f614,f1651,f1118]) ).
fof(f1721,plain,
( sQ55_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f617,f1655,f1101]) ).
fof(f1722,plain,
( sQ61_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f618,f1655,f1121]) ).
fof(f1723,definition,
( sQ144_spl
<=> sP56_prd ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f1726,plain,
( sQ21_spl
| sQ144_spl
| ~ sQ138_spl ),
inference(split_clause,[status(thm)],[f625,f1672,f1723,f991]) ).
fof(f1727,definition,
( sQ145_spl
<=> sP57_prd ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f1730,plain,
( sQ145_spl
| sQ144_spl
| ~ sQ138_spl ),
inference(split_clause,[status(thm)],[f626,f1672,f1723,f1727]) ).
fof(f1731,definition,
( sQ146_spl
<=> sP58_prd ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f1735,plain,
( sQ38_spl
| ~ sQ41_spl
| sQ144_spl
| ~ sQ138_spl ),
inference(split_clause,[status(thm)],[f628,f1672,f1723,f1056,f1046]) ).
fof(f1736,plain,
( sQ55_spl
| ~ sQ61_spl
| sQ144_spl
| ~ sQ138_spl ),
inference(split_clause,[status(thm)],[f629,f1672,f1723,f1121,f1101]) ).
fof(f1737,plain,
( ~ sQ144_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f630,f1672,f1723]) ).
fof(f1738,plain,
( sQ61_spl
| sQ41_spl
| ~ sQ146_spl
| ~ sQ145_spl
| ~ sQ21_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f631,f1672,f991,f1727,f1731,f1056,f1121]) ).
fof(f1742,plain,
( sQ8_spl
| ~ sQ2_spl
| ~ sQ139_spl ),
inference(split_clause,[status(thm)],[f636,f1676,f929,f949]) ).
fof(f1743,plain,
( sQ2_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f637,f1676,f929]) ).
fof(f1744,plain,
( ~ sQ8_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f638,f1676,f949]) ).
fof(f1745,plain,
( sQ25_spl
| ~ sQ22_spl
| ~ sQ140_spl ),
inference(split_clause,[status(thm)],[f640,f1680,f994,f1004]) ).
fof(f1746,plain,
( sQ22_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f641,f1680,f994]) ).
fof(f1747,plain,
( ~ sQ25_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f642,f1680,f1004]) ).
fof(f1748,definition,
( sQ147_spl
<=> sP59_prd ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f1751,plain,
( sQ21_spl
| sQ147_spl
| ~ sQ141_spl ),
inference(split_clause,[status(thm)],[f649,f1697,f1748,f991]) ).
fof(f1753,definition,
( sQ148_spl
<=> sP60_prd ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f1756,plain,
( sQ148_spl
| sQ147_spl
| ~ sQ141_spl ),
inference(split_clause,[status(thm)],[f651,f1697,f1748,f1753]) ).
fof(f1757,definition,
( sQ149_spl
<=> sP61_prd ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f1760,plain,
( sQ149_spl
| sQ147_spl
| ~ sQ141_spl ),
inference(split_clause,[status(thm)],[f652,f1697,f1748,f1757]) ).
fof(f1761,plain,
( ~ sQ22_spl
| ~ sQ25_spl
| sQ147_spl
| ~ sQ141_spl ),
inference(split_clause,[status(thm)],[f653,f1697,f1748,f1004,f994]) ).
fof(f1762,plain,
( ~ sQ23_spl
| ~ sQ29_spl
| sQ147_spl
| ~ sQ141_spl ),
inference(split_clause,[status(thm)],[f654,f1697,f1748,f1017,f997]) ).
fof(f1763,plain,
( ~ sQ147_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f655,f1697,f1748]) ).
fof(f1768,plain,
( ~ sQ40_spl
| ~ sQ34_spl
| ~ sQ142_spl ),
inference(split_clause,[status(thm)],[f661,f1702,f1033,f1053]) ).
fof(f1769,plain,
( sQ34_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f662,f1702,f1033]) ).
fof(f1770,plain,
( sQ40_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f663,f1702,f1053]) ).
fof(f1771,plain,
( ~ sQ41_spl
| ~ sQ38_spl
| ~ sQ143_spl ),
inference(split_clause,[status(thm)],[f665,f1706,f1046,f1056]) ).
fof(f1772,plain,
( sQ38_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f666,f1706,f1046]) ).
fof(f1773,plain,
( sQ41_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f667,f1706,f1056]) ).
fof(f1774,definition,
( sQ150_spl
<=> sP62_prd ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f1777,plain,
( sQ20_spl
| sQ150_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f674,f1723,f1774,f988]) ).
fof(f1778,definition,
( sQ151_spl
<=> sP63_prd ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f1782,definition,
( sQ152_spl
<=> sP64_prd ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f1785,plain,
( sQ152_spl
| sQ150_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f676,f1723,f1774,f1782]) ).
fof(f1786,plain,
( sQ34_spl
| ~ sQ40_spl
| sQ150_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f677,f1723,f1774,f1053,f1033]) ).
fof(f1787,plain,
( sQ51_spl
| ~ sQ60_spl
| sQ150_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f678,f1723,f1774,f1118,f1088]) ).
fof(f1788,plain,
( ~ sQ150_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f679,f1723,f1774]) ).
fof(f1789,plain,
( sQ60_spl
| sQ40_spl
| ~ sQ152_spl
| ~ sQ151_spl
| ~ sQ20_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f680,f1723,f988,f1778,f1782,f1053,f1118]) ).
fof(f1790,plain,
( ~ sQ51_spl
| sQ40_spl
| ~ sQ152_spl
| ~ sQ151_spl
| ~ sQ20_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f681,f1723,f988,f1778,f1782,f1053,f1088]) ).
fof(f1791,plain,
( sQ60_spl
| ~ sQ34_spl
| ~ sQ152_spl
| ~ sQ151_spl
| ~ sQ20_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f682,f1723,f988,f1778,f1782,f1033,f1118]) ).
fof(f1793,plain,
( sQ4_spl
| ~ sQ1_spl
| ~ sQ145_spl ),
inference(split_clause,[status(thm)],[f685,f1727,f926,f936]) ).
fof(f1794,plain,
( sQ1_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f686,f1727,f926]) ).
fof(f1795,plain,
( ~ sQ4_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f687,f1727,f936]) ).
fof(f1797,plain,
( sQ21_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f690,f1731,f991]) ).
fof(f1798,plain,
( ~ sQ21_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f691,f1731,f991]) ).
fof(f1799,definition,
( sQ153_spl
<=> sP65_prd ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f1802,plain,
( sQ17_spl
| sQ153_spl
| ~ sQ147_spl ),
inference(split_clause,[status(thm)],[f698,f1748,f1799,f978]) ).
fof(f1803,plain,
( sQ5_spl
| sQ153_spl
| ~ sQ147_spl ),
inference(split_clause,[status(thm)],[f699,f1748,f1799,f939]) ).
fof(f1804,definition,
( sQ154_spl
<=> sP66_prd ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f1807,plain,
( sQ154_spl
| sQ153_spl
| ~ sQ147_spl ),
inference(split_clause,[status(thm)],[f700,f1748,f1799,f1804]) ).
fof(f1808,definition,
( sQ155_spl
<=> sP67_prd ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f1812,plain,
( ~ sQ2_spl
| ~ sQ8_spl
| sQ153_spl
| ~ sQ147_spl ),
inference(split_clause,[status(thm)],[f702,f1748,f1799,f949,f929]) ).
fof(f1813,plain,
( ~ sQ3_spl
| ~ sQ12_spl
| sQ153_spl
| ~ sQ147_spl ),
inference(split_clause,[status(thm)],[f703,f1748,f1799,f962,f932]) ).
fof(f1814,plain,
( ~ sQ153_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f704,f1748,f1799]) ).
fof(f1815,plain,
( sQ12_spl
| sQ8_spl
| ~ sQ155_spl
| ~ sQ154_spl
| ~ sQ5_spl
| ~ sQ17_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f705,f1748,f978,f939,f1804,f1808,f949,f962]) ).
fof(f1817,plain,
( sQ12_spl
| sQ2_spl
| ~ sQ155_spl
| ~ sQ154_spl
| ~ sQ5_spl
| ~ sQ17_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f707,f1748,f978,f939,f1804,f1808,f929,f962]) ).
fof(f1819,plain,
( ~ sQ20_spl
| ~ sQ17_spl
| ~ sQ148_spl ),
inference(split_clause,[status(thm)],[f710,f1753,f978,f988]) ).
fof(f1820,plain,
( sQ17_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f711,f1753,f978]) ).
fof(f1821,plain,
( sQ20_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f712,f1753,f988]) ).
fof(f1822,plain,
( ~ sQ21_spl
| ~ sQ149_spl ),
inference(split_clause,[status(thm)],[f714,f1757,f991]) ).
fof(f1823,plain,
( sQ21_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f715,f1757,f991]) ).
fof(f1825,definition,
( sQ156_spl
<=> sP68_prd ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f1828,plain,
( sQ3_spl
| sQ156_spl
| ~ sQ150_spl ),
inference(split_clause,[status(thm)],[f723,f1774,f1825,f932]) ).
fof(f1829,definition,
( sQ157_spl
<=> sP69_prd ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f1832,plain,
( sQ157_spl
| sQ156_spl
| ~ sQ150_spl ),
inference(split_clause,[status(thm)],[f724,f1774,f1825,f1829]) ).
fof(f1833,definition,
( sQ158_spl
<=> sP70_prd ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f1836,plain,
( sQ158_spl
| sQ156_spl
| ~ sQ150_spl ),
inference(split_clause,[status(thm)],[f725,f1774,f1825,f1833]) ).
fof(f1837,plain,
( sQ46_spl
| ~ sQ43_spl
| sQ156_spl
| ~ sQ150_spl ),
inference(split_clause,[status(thm)],[f726,f1774,f1825,f1062,f1072]) ).
fof(f1839,plain,
( ~ sQ156_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f728,f1774,f1825]) ).
fof(f1840,plain,
( sQ63_spl
| sQ43_spl
| ~ sQ158_spl
| ~ sQ157_spl
| ~ sQ3_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f729,f1774,f932,f1829,f1833,f1062,f1127]) ).
fof(f1841,plain,
( ~ sQ63_spl
| sQ43_spl
| ~ sQ158_spl
| ~ sQ157_spl
| ~ sQ3_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f730,f1774,f932,f1829,f1833,f1062,f1127]) ).
fof(f1842,plain,
( sQ63_spl
| ~ sQ46_spl
| ~ sQ158_spl
| ~ sQ157_spl
| ~ sQ3_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f731,f1774,f932,f1829,f1833,f1072,f1127]) ).
fof(f1845,plain,
( sQ0_spl
| sQ151_spl ),
inference(split_clause,[status(thm)],[f735,f1778,f923]) ).
fof(f1846,plain,
( ~ sQ0_spl
| sQ151_spl ),
inference(split_clause,[status(thm)],[f736,f1778,f923]) ).
fof(f1847,plain,
( sQ17_spl
| ~ sQ20_spl
| ~ sQ152_spl ),
inference(split_clause,[status(thm)],[f738,f1782,f988,f978]) ).
fof(f1848,plain,
( sQ20_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f739,f1782,f988]) ).
fof(f1849,plain,
( ~ sQ17_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f740,f1782,f978]) ).
fof(f1850,definition,
( sQ159_spl
<=> sP71_prd ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f1853,plain,
( sQ12_spl
| sQ159_spl
| ~ sQ153_spl ),
inference(split_clause,[status(thm)],[f747,f1799,f1850,f962]) ).
fof(f1854,plain,
( sQ48_spl
| sQ159_spl
| ~ sQ153_spl ),
inference(split_clause,[status(thm)],[f748,f1799,f1850,f1079]) ).
fof(f1855,definition,
( sQ160_spl
<=> sP72_prd ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f1858,plain,
( sQ160_spl
| sQ159_spl
| ~ sQ153_spl ),
inference(split_clause,[status(thm)],[f749,f1799,f1850,f1855]) ).
fof(f1859,definition,
( sQ161_spl
<=> sP73_prd ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f1862,plain,
( sQ161_spl
| sQ159_spl
| ~ sQ153_spl ),
inference(split_clause,[status(thm)],[f750,f1799,f1850,f1859]) ).
fof(f1863,plain,
( ~ sQ62_spl
| ~ sQ59_spl
| sQ159_spl
| ~ sQ153_spl ),
inference(split_clause,[status(thm)],[f751,f1799,f1850,f1114,f1124]) ).
fof(f1864,plain,
( ~ sQ63_spl
| sQ159_spl
| ~ sQ153_spl ),
inference(split_clause,[status(thm)],[f752,f1799,f1850,f1127]) ).
fof(f1865,plain,
( ~ sQ159_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f753,f1799,f1850]) ).
fof(f1868,plain,
( sQ63_spl
| sQ62_spl
| ~ sQ161_spl
| ~ sQ160_spl
| ~ sQ48_spl
| ~ sQ12_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f756,f1799,f962,f1079,f1855,f1859,f1124,f1127]) ).
fof(f1870,plain,
( ~ sQ0_spl
| ~ sQ154_spl ),
inference(split_clause,[status(thm)],[f759,f1804,f923]) ).
fof(f1871,plain,
( sQ0_spl
| sQ154_spl ),
inference(split_clause,[status(thm)],[f760,f1804,f923]) ).
fof(f1873,plain,
( ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ155_spl ),
inference(split_clause,[status(thm)],[f763,f1808,f936,f926]) ).
fof(f1874,plain,
( sQ4_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f764,f1808,f936]) ).
fof(f1875,plain,
( sQ1_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f765,f1808,f926]) ).
fof(f1876,definition,
( sQ162_spl
<=> sP74_prd ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f1879,plain,
( sQ2_spl
| sQ162_spl
| ~ sQ156_spl ),
inference(split_clause,[status(thm)],[f772,f1825,f1876,f929]) ).
fof(f1880,definition,
( sQ163_spl
<=> sP75_prd ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f1883,plain,
( sQ163_spl
| sQ162_spl
| ~ sQ156_spl ),
inference(split_clause,[status(thm)],[f773,f1825,f1876,f1880]) ).
fof(f1884,definition,
( sQ164_spl
<=> sP76_prd ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f1887,plain,
( sQ164_spl
| sQ162_spl
| ~ sQ156_spl ),
inference(split_clause,[status(thm)],[f774,f1825,f1876,f1884]) ).
fof(f1889,plain,
( sQ59_spl
| ~ sQ62_spl
| sQ162_spl
| ~ sQ156_spl ),
inference(split_clause,[status(thm)],[f776,f1825,f1876,f1124,f1114]) ).
fof(f1890,plain,
( ~ sQ162_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f777,f1825,f1876]) ).
fof(f1891,plain,
( sQ62_spl
| sQ42_spl
| ~ sQ164_spl
| ~ sQ163_spl
| ~ sQ2_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f778,f1825,f929,f1880,f1884,f1059,f1124]) ).
fof(f1893,plain,
( sQ62_spl
| ~ sQ42_spl
| ~ sQ164_spl
| ~ sQ163_spl
| ~ sQ2_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f780,f1825,f929,f1880,f1884,f1059,f1124]) ).
fof(f1894,plain,
( ~ sQ59_spl
| ~ sQ42_spl
| ~ sQ164_spl
| ~ sQ163_spl
| ~ sQ2_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f781,f1825,f929,f1880,f1884,f1059,f1114]) ).
fof(f1895,plain,
( sQ12_spl
| ~ sQ3_spl
| ~ sQ157_spl ),
inference(split_clause,[status(thm)],[f783,f1829,f932,f962]) ).
fof(f1896,plain,
( sQ3_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f784,f1829,f932]) ).
fof(f1897,plain,
( ~ sQ12_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f785,f1829,f962]) ).
fof(f1898,plain,
( sQ29_spl
| ~ sQ23_spl
| ~ sQ158_spl ),
inference(split_clause,[status(thm)],[f787,f1833,f997,f1017]) ).
fof(f1899,plain,
( sQ23_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f788,f1833,f997]) ).
fof(f1900,plain,
( ~ sQ29_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f789,f1833,f1017]) ).
fof(f1901,definition,
( sQ165_spl
<=> sP77_prd ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f1904,plain,
( sQ8_spl
| sQ165_spl
| ~ sQ159_spl ),
inference(split_clause,[status(thm)],[f796,f1850,f1901,f949]) ).
fof(f1905,plain,
( sQ32_spl
| sQ165_spl
| ~ sQ159_spl ),
inference(split_clause,[status(thm)],[f797,f1850,f1901,f1027]) ).
fof(f1906,definition,
( sQ166_spl
<=> sP78_prd ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f1909,plain,
( sQ166_spl
| sQ165_spl
| ~ sQ159_spl ),
inference(split_clause,[status(thm)],[f798,f1850,f1901,f1906]) ).
fof(f1910,definition,
( sQ167_spl
<=> sP79_prd ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f1913,plain,
( sQ167_spl
| sQ165_spl
| ~ sQ159_spl ),
inference(split_clause,[status(thm)],[f799,f1850,f1901,f1910]) ).
fof(f1914,plain,
( ~ sQ42_spl
| sQ165_spl
| ~ sQ159_spl ),
inference(split_clause,[status(thm)],[f800,f1850,f1901,f1059]) ).
fof(f1915,plain,
( ~ sQ43_spl
| ~ sQ46_spl
| sQ165_spl
| ~ sQ159_spl ),
inference(split_clause,[status(thm)],[f801,f1850,f1901,f1072,f1062]) ).
fof(f1916,plain,
( ~ sQ165_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f802,f1850,f1901]) ).
fof(f1917,plain,
( sQ46_spl
| sQ42_spl
| ~ sQ167_spl
| ~ sQ166_spl
| ~ sQ32_spl
| ~ sQ8_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f803,f1850,f949,f1027,f1906,f1910,f1059,f1072]) ).
fof(f1918,plain,
( sQ43_spl
| sQ42_spl
| ~ sQ167_spl
| ~ sQ166_spl
| ~ sQ32_spl
| ~ sQ8_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f804,f1850,f949,f1027,f1906,f1910,f1059,f1062]) ).
fof(f1921,plain,
( ~ sQ60_spl
| ~ sQ51_spl
| ~ sQ160_spl ),
inference(split_clause,[status(thm)],[f808,f1855,f1088,f1118]) ).
fof(f1922,plain,
( sQ51_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f809,f1855,f1088]) ).
fof(f1923,plain,
( sQ60_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f810,f1855,f1118]) ).
fof(f1924,plain,
( ~ sQ61_spl
| ~ sQ55_spl
| ~ sQ161_spl ),
inference(split_clause,[status(thm)],[f812,f1859,f1101,f1121]) ).
fof(f1925,plain,
( sQ55_spl
| sQ161_spl ),
inference(split_clause,[status(thm)],[f813,f1859,f1101]) ).
fof(f1926,plain,
( sQ61_spl
| sQ161_spl ),
inference(split_clause,[status(thm)],[f814,f1859,f1121]) ).
fof(f1927,definition,
( sQ168_spl
<=> sP80_prd ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f1930,plain,
( sQ1_spl
| sQ168_spl
| ~ sQ162_spl ),
inference(split_clause,[status(thm)],[f821,f1876,f1927,f926]) ).
fof(f1931,definition,
( sQ169_spl
<=> sP81_prd ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f1934,plain,
( sQ169_spl
| sQ168_spl
| ~ sQ162_spl ),
inference(split_clause,[status(thm)],[f822,f1876,f1927,f1931]) ).
fof(f1935,definition,
( sQ170_spl
<=> sP82_prd ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f1938,plain,
( sQ170_spl
| sQ168_spl
| ~ sQ162_spl ),
inference(split_clause,[status(thm)],[f823,f1876,f1927,f1935]) ).
fof(f1939,plain,
( sQ38_spl
| ~ sQ41_spl
| sQ168_spl
| ~ sQ162_spl ),
inference(split_clause,[status(thm)],[f824,f1876,f1927,f1056,f1046]) ).
fof(f1940,plain,
( sQ55_spl
| ~ sQ61_spl
| sQ168_spl
| ~ sQ162_spl ),
inference(split_clause,[status(thm)],[f825,f1876,f1927,f1121,f1101]) ).
fof(f1941,plain,
( ~ sQ168_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f826,f1876,f1927]) ).
fof(f1942,plain,
( sQ61_spl
| sQ41_spl
| ~ sQ170_spl
| ~ sQ169_spl
| ~ sQ1_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f827,f1876,f926,f1931,f1935,f1056,f1121]) ).
fof(f1944,plain,
( sQ61_spl
| ~ sQ38_spl
| ~ sQ170_spl
| ~ sQ169_spl
| ~ sQ1_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f829,f1876,f926,f1931,f1935,f1046,f1121]) ).
fof(f1946,plain,
( sQ8_spl
| ~ sQ2_spl
| ~ sQ163_spl ),
inference(split_clause,[status(thm)],[f832,f1880,f929,f949]) ).
fof(f1947,plain,
( sQ2_spl
| sQ163_spl ),
inference(split_clause,[status(thm)],[f833,f1880,f929]) ).
fof(f1948,plain,
( ~ sQ8_spl
| sQ163_spl ),
inference(split_clause,[status(thm)],[f834,f1880,f949]) ).
fof(f1949,plain,
( sQ25_spl
| ~ sQ22_spl
| ~ sQ164_spl ),
inference(split_clause,[status(thm)],[f836,f1884,f994,f1004]) ).
fof(f1950,plain,
( sQ22_spl
| sQ164_spl ),
inference(split_clause,[status(thm)],[f837,f1884,f994]) ).
fof(f1951,plain,
( ~ sQ25_spl
| sQ164_spl ),
inference(split_clause,[status(thm)],[f838,f1884,f1004]) ).
fof(f1952,definition,
( sQ171_spl
<=> sP83_prd ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f1955,plain,
( sQ4_spl
| sQ171_spl
| ~ sQ165_spl ),
inference(split_clause,[status(thm)],[f845,f1901,f1952,f936]) ).
fof(f1956,plain,
( sQ16_spl
| sQ171_spl
| ~ sQ165_spl ),
inference(split_clause,[status(thm)],[f846,f1901,f1952,f975]) ).
fof(f1957,definition,
( sQ172_spl
<=> sP84_prd ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f1961,definition,
( sQ173_spl
<=> sP85_prd ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f1964,plain,
( sQ173_spl
| sQ171_spl
| ~ sQ165_spl ),
inference(split_clause,[status(thm)],[f848,f1901,f1952,f1961]) ).
fof(f1965,plain,
( ~ sQ22_spl
| ~ sQ25_spl
| sQ171_spl
| ~ sQ165_spl ),
inference(split_clause,[status(thm)],[f849,f1901,f1952,f1004,f994]) ).
fof(f1966,plain,
( ~ sQ23_spl
| ~ sQ29_spl
| sQ171_spl
| ~ sQ165_spl ),
inference(split_clause,[status(thm)],[f850,f1901,f1952,f1017,f997]) ).
fof(f1967,plain,
( ~ sQ171_spl
| sQ165_spl ),
inference(split_clause,[status(thm)],[f851,f1901,f1952]) ).
fof(f1969,plain,
( sQ23_spl
| sQ25_spl
| ~ sQ173_spl
| ~ sQ172_spl
| ~ sQ16_spl
| ~ sQ4_spl
| sQ165_spl ),
inference(split_clause,[status(thm)],[f853,f1901,f936,f975,f1957,f1961,f1004,f997]) ).
fof(f1970,plain,
( sQ29_spl
| sQ22_spl
| ~ sQ173_spl
| ~ sQ172_spl
| ~ sQ16_spl
| ~ sQ4_spl
| sQ165_spl ),
inference(split_clause,[status(thm)],[f854,f1901,f936,f975,f1957,f1961,f994,f1017]) ).
fof(f1972,plain,
( ~ sQ40_spl
| ~ sQ34_spl
| ~ sQ166_spl ),
inference(split_clause,[status(thm)],[f857,f1906,f1033,f1053]) ).
fof(f1973,plain,
( sQ34_spl
| sQ166_spl ),
inference(split_clause,[status(thm)],[f858,f1906,f1033]) ).
fof(f1974,plain,
( sQ40_spl
| sQ166_spl ),
inference(split_clause,[status(thm)],[f859,f1906,f1053]) ).
fof(f1975,plain,
( ~ sQ41_spl
| ~ sQ38_spl
| ~ sQ167_spl ),
inference(split_clause,[status(thm)],[f861,f1910,f1046,f1056]) ).
fof(f1976,plain,
( sQ38_spl
| sQ167_spl ),
inference(split_clause,[status(thm)],[f862,f1910,f1046]) ).
fof(f1977,plain,
( sQ41_spl
| sQ167_spl ),
inference(split_clause,[status(thm)],[f863,f1910,f1056]) ).
fof(f1978,plain,
( sQ0_spl
| ~ sQ168_spl ),
inference(split_clause,[status(thm)],[f868,f1927,f923]) ).
fof(f1979,definition,
( sQ174_spl
<=> sP86_prd ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f1983,definition,
( sQ175_spl
<=> sP87_prd ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f1986,plain,
( sQ175_spl
| ~ sQ168_spl ),
inference(split_clause,[status(thm)],[f870,f1927,f1983]) ).
fof(f1987,plain,
( sQ34_spl
| ~ sQ40_spl
| ~ sQ168_spl ),
inference(split_clause,[status(thm)],[f871,f1927,f1053,f1033]) ).
fof(f1988,plain,
( sQ51_spl
| ~ sQ60_spl
| ~ sQ168_spl ),
inference(split_clause,[status(thm)],[f872,f1927,f1118,f1088]) ).
fof(f1989,plain,
( sQ60_spl
| sQ40_spl
| ~ sQ175_spl
| ~ sQ174_spl
| ~ sQ0_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f873,f1927,f923,f1979,f1983,f1053,f1118]) ).
fof(f1990,plain,
( ~ sQ51_spl
| sQ40_spl
| ~ sQ175_spl
| ~ sQ174_spl
| ~ sQ0_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f874,f1927,f923,f1979,f1983,f1053,f1088]) ).
fof(f1991,plain,
( sQ60_spl
| ~ sQ34_spl
| ~ sQ175_spl
| ~ sQ174_spl
| ~ sQ0_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f875,f1927,f923,f1979,f1983,f1033,f1118]) ).
fof(f1993,plain,
( sQ4_spl
| ~ sQ1_spl
| ~ sQ169_spl ),
inference(split_clause,[status(thm)],[f878,f1931,f926,f936]) ).
fof(f1994,plain,
( sQ1_spl
| sQ169_spl ),
inference(split_clause,[status(thm)],[f879,f1931,f926]) ).
fof(f1995,plain,
( ~ sQ4_spl
| sQ169_spl ),
inference(split_clause,[status(thm)],[f880,f1931,f936]) ).
fof(f1997,plain,
( sQ21_spl
| sQ170_spl ),
inference(split_clause,[status(thm)],[f883,f1935,f991]) ).
fof(f1998,plain,
( ~ sQ21_spl
| sQ170_spl ),
inference(split_clause,[status(thm)],[f884,f1935,f991]) ).
fof(f1999,plain,
( sQ0_spl
| ~ sQ171_spl ),
inference(split_clause,[status(thm)],[f889,f1952,f923]) ).
fof(f2001,definition,
( sQ176_spl
<=> sP88_prd ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f2004,plain,
( sQ176_spl
| ~ sQ171_spl ),
inference(split_clause,[status(thm)],[f891,f1952,f2001]) ).
fof(f2005,definition,
( sQ177_spl
<=> sP89_prd ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f2008,plain,
( sQ177_spl
| ~ sQ171_spl ),
inference(split_clause,[status(thm)],[f892,f1952,f2005]) ).
fof(f2009,plain,
( ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ171_spl ),
inference(split_clause,[status(thm)],[f893,f1952,f949,f929]) ).
fof(f2010,plain,
( ~ sQ3_spl
| ~ sQ12_spl
| ~ sQ171_spl ),
inference(split_clause,[status(thm)],[f894,f1952,f962,f932]) ).
fof(f2015,plain,
( ~ sQ20_spl
| ~ sQ17_spl
| ~ sQ172_spl ),
inference(split_clause,[status(thm)],[f900,f1957,f978,f988]) ).
fof(f2016,plain,
( sQ17_spl
| sQ172_spl ),
inference(split_clause,[status(thm)],[f901,f1957,f978]) ).
fof(f2017,plain,
( sQ20_spl
| sQ172_spl ),
inference(split_clause,[status(thm)],[f902,f1957,f988]) ).
fof(f2018,plain,
( ~ sQ21_spl
| ~ sQ173_spl ),
inference(split_clause,[status(thm)],[f904,f1961,f991]) ).
fof(f2019,plain,
( sQ21_spl
| sQ173_spl ),
inference(split_clause,[status(thm)],[f905,f1961,f991]) ).
fof(f2022,plain,
( sQ0_spl
| sQ174_spl ),
inference(split_clause,[status(thm)],[f909,f1979,f923]) ).
fof(f2023,plain,
( ~ sQ0_spl
| sQ174_spl ),
inference(split_clause,[status(thm)],[f910,f1979,f923]) ).
fof(f2024,plain,
( sQ17_spl
| ~ sQ20_spl
| ~ sQ175_spl ),
inference(split_clause,[status(thm)],[f912,f1983,f988,f978]) ).
fof(f2025,plain,
( sQ20_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f913,f1983,f988]) ).
fof(f2026,plain,
( ~ sQ17_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f914,f1983,f978]) ).
fof(f2027,plain,
( ~ sQ0_spl
| ~ sQ176_spl ),
inference(split_clause,[status(thm)],[f916,f2001,f923]) ).
fof(f2028,plain,
( sQ0_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f917,f2001,f923]) ).
fof(f2030,plain,
( ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ177_spl ),
inference(split_clause,[status(thm)],[f920,f2005,f936,f926]) ).
fof(f2031,plain,
( sQ4_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f921,f2005,f936]) ).
fof(f2032,plain,
( sQ1_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f922,f2005,f926]) ).
fof(f2033,plain,
( ~ sQ33_spl
| e1 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f1031,f116]) ).
fof(f2034,plain,
( ~ sQ33_spl
| e1 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f1031,f115]) ).
fof(f2038,plain,
( ~ sQ33_spl
| op(e0,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f1031,f79]) ).
fof(f2042,plain,
( ~ sQ6_spl
| e2 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f943,f86]) ).
fof(f2044,plain,
( ~ sQ6_spl
| e2 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f943,f84]) ).
fof(f2045,plain,
( ~ sQ7_spl
| ~ sQ6_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f943,f946]) ).
fof(f2046,plain,
( ~ sQ7_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2045,f131]) ).
fof(f2047,plain,
( ~ sQ7_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f2046]) ).
fof(f2051,plain,
( ~ sQ30_spl
| e2 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f1021,f100]) ).
fof(f2057,plain,
( ~ sQ14_spl
| e2 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f969,f97]) ).
fof(f2058,plain,
( ~ sQ54_spl
| e2 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f1099,f124]) ).
fof(f2061,plain,
( ~ sQ54_spl
| op(e2,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f1099,f89]) ).
fof(f2066,plain,
( ~ sQ50_spl
| op(e0,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f1086,f80]) ).
fof(f2067,plain,
( ~ sQ45_spl
| op(e2,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f1070,f119]) ).
fof(f2070,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f969,f966]) ).
fof(f2071,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2070,f129]) ).
fof(f2072,plain,
( ~ sQ13_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f2071]) ).
fof(f2074,plain,
( ~ sQ57_spl
| op(e2,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f1109,f95]) ).
fof(f2075,plain,
( ~ sQ57_spl
| op(e1,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f1109,f94]) ).
fof(f2077,plain,
( ~ sQ49_spl
| ~ sQ50_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f1086,f1083]) ).
fof(f2078,plain,
( ~ sQ49_spl
| ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2077,f129]) ).
fof(f2079,plain,
( ~ sQ49_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f2078]) ).
fof(f2080,plain,
( ~ sQ44_spl
| ~ sQ45_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f1070,f1067]) ).
fof(f2081,plain,
( ~ sQ44_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2080,f126]) ).
fof(f2082,plain,
( ~ sQ44_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f2081]) ).
fof(f2083,plain,
( ~ sQ28_spl
| ~ sQ30_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f1021,f1015]) ).
fof(f2084,plain,
( ~ sQ28_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2083,f127]) ).
fof(f2085,plain,
( ~ sQ28_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f2084]) ).
fof(f2086,plain,
( ~ sQ56_spl
| ~ sQ57_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f1109,f1106]) ).
fof(f2087,plain,
( ~ sQ56_spl
| ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2086,f126]) ).
fof(f2088,plain,
( ~ sQ56_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f2087]) ).
fof(f2089,plain,
( ~ sQ52_spl
| ~ sQ54_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f1099,f1093]) ).
fof(f2090,plain,
( ~ sQ52_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2089,f127]) ).
fof(f2091,plain,
( ~ sQ52_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f2090]) ).
fof(f2092,plain,
( ~ sQ27_spl
| op(e1,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f1011,f111]) ).
fof(f2094,plain,
( ~ sQ27_spl
| e3 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f1011,f93]) ).
fof(f2098,plain,
( ~ sQ39_spl
| e3 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f1050,f117]) ).
fof(f2100,plain,
( ~ sQ35_spl
| ~ sQ33_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f1031,f1037]) ).
fof(f2101,plain,
( ~ sQ35_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2100,f130]) ).
fof(f2102,plain,
( ~ sQ35_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f2101]) ).
fof(f2103,plain,
( ~ sQ9_spl
| ~ sQ11_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f959,f953]) ).
fof(f2104,plain,
( ~ sQ9_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2103,f130]) ).
fof(f2105,plain,
( ~ sQ9_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f2104]) ).
fof(f2106,plain,
( ~ sQ24_spl
| ~ sQ27_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f1011,f1002]) ).
fof(f2107,plain,
( ~ sQ24_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2106,f128]) ).
fof(f2108,plain,
( ~ sQ24_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f2107]) ).
fof(f2109,plain,
( ~ sQ36_spl
| ~ sQ39_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f1050,f1041]) ).
fof(f2110,plain,
( ~ sQ36_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2109,f128]) ).
fof(f2111,plain,
( ~ sQ36_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f2110]) ).
fof(f2112,plain,
( ~ sQ19_spl
| e3 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f985,f108]) ).
fof(f2113,plain,
( ~ sQ19_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f985,f78]) ).
fof(f2114,plain,
( ~ sQ18_spl
| ~ sQ19_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f985,f982]) ).
fof(f2115,plain,
( ~ sQ18_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2114,f131]) ).
fof(f2116,plain,
( ~ sQ18_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f2115]) ).
fof(f2121,plain,
( ~ sQ61_spl
| ~ sQ60_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f1119,f1122]) ).
fof(f2122,plain,
( ~ sQ61_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2121,f126]) ).
fof(f2123,plain,
( ~ sQ61_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f2122]) ).
fof(f2125,plain,
( ~ sQ12_spl
| op(e0,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f963,f104]) ).
fof(f2126,plain,
( ~ sQ12_spl
| e0 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f963,f98]) ).
fof(f2128,plain,
( ~ sQ51_spl
| e3 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f1089,f122]) ).
fof(f2129,plain,
( ~ sQ51_spl
| e3 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f1089,f121]) ).
fof(f2130,plain,
( ~ sQ51_spl
| op(e1,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f1089,f82]) ).
fof(f2131,plain,
( ~ sQ51_spl
| op(e0,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f1089,f80]) ).
fof(f2133,plain,
( ~ sQ25_spl
| e1 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f1005,f113]) ).
fof(f2134,plain,
( ~ sQ25_spl
| ~ sQ29_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f1018,f2133]) ).
fof(f2135,plain,
( ~ sQ25_spl
| ~ sQ29_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2134]) ).
fof(f2136,plain,
( ~ sQ25_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f2135]) ).
fof(f2137,plain,
( ~ sQ12_spl
| e0 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f963,f96]) ).
fof(f2138,plain,
( ~ sQ51_spl
| e3 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f1089,f120]) ).
fof(f2142,plain,
( ~ sQ58_spl
| op(e1,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f1112,f94]) ).
fof(f2143,plain,
( ~ sQ58_spl
| op(e2,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f1112,f95]) ).
fof(f2144,plain,
( ~ sQ58_spl
| e2 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f1112,f125]) ).
fof(f2150,plain,
( ~ sQ21_spl
| e1 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f992,f88]) ).
fof(f2151,plain,
( ~ sQ21_spl
| e1 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f992,f112]) ).
fof(f2156,plain,
( ~ sQ21_spl
| e1 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f992,f111]) ).
fof(f2160,plain,
( ~ sQ52_spl
| e0 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f1093,f124]) ).
fof(f2161,plain,
( ~ sQ52_spl
| op(e0,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f1093,f86]) ).
fof(f2162,plain,
( ~ sQ36_spl
| op(e2,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f1041,f114]) ).
fof(f2164,plain,
( ~ sQ36_spl
| op(e0,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f1041,f85]) ).
fof(f2166,plain,
( ~ sQ21_spl
| e1 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f992,f87]) ).
fof(f2172,plain,
( ~ sQ47_spl
| e3 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f1076,f101]) ).
fof(f2176,plain,
( ~ sQ34_spl
| op(e0,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f1034,f79]) ).
fof(f2177,plain,
( ~ sQ34_spl
| op(e1,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f1034,f81]) ).
fof(f2180,plain,
( ~ sQ38_spl
| ~ sQ36_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f1041,f1047]) ).
fof(f2181,plain,
( ~ sQ38_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2180,f127]) ).
fof(f2182,plain,
( ~ sQ38_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f2181]) ).
fof(f2183,plain,
( ~ sQ0_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f924,f2125]) ).
fof(f2184,plain,
( ~ sQ0_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f2183]) ).
fof(f2185,plain,
( ~ sQ21_spl
| op(e1,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f992,f108]) ).
fof(f2191,plain,
( ~ sQ8_spl
| op(e0,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f950,f103]) ).
fof(f2193,plain,
( ~ sQ53_spl
| ~ sQ52_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f1093,f1096]) ).
fof(f2194,plain,
( ~ sQ53_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2193,f126]) ).
fof(f2195,plain,
( ~ sQ53_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f2194]) ).
fof(f2196,plain,
( ~ sQ2_spl
| e2 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f930,f78]) ).
fof(f2197,plain,
( sQ78_spl
| ~ sQ2_spl
| e3 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f930,f1226]) ).
fof(f2202,plain,
( sQ85_spl
| ~ sQ2_spl
| e1 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f930,f1255]) ).
fof(f2204,plain,
( sQ77_spl
| ~ sQ2_spl
| e1 != op(op(e0,e0),e2) ),
inference(backward_demodulation,[status(thm)],[f930,f1223]) ).
fof(f2206,plain,
( ~ sQ49_spl
| ~ sQ51_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f1089,f1083]) ).
fof(f2207,plain,
( ~ sQ49_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2206,f130]) ).
fof(f2208,plain,
( ~ sQ49_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f2207]) ).
fof(f2212,plain,
( ~ sQ21_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f2151,f1017,f991]) ).
fof(f2218,plain,
( ~ sQ47_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f2172,f1127,f1075]) ).
fof(f2219,plain,
( ~ sQ44_spl
| ~ sQ47_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f1076,f1067]) ).
fof(f2220,plain,
( ~ sQ44_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2219,f128]) ).
fof(f2221,plain,
( ~ sQ44_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f2220]) ).
fof(f2226,plain,
( ~ sQ29_spl
| op(e0,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f1018,f96]) ).
fof(f2229,plain,
( ~ sQ29_spl
| e1 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f1018,f100]) ).
fof(f2230,plain,
( ~ sQ29_spl
| op(e1,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f1018,f110]) ).
fof(f2231,plain,
( ~ sQ8_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f2191,f923,f949]) ).
fof(f2233,plain,
( ~ sQ36_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f2162,f1027,f1040]) ).
fof(f2240,plain,
( ~ sQ34_spl
| e2 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f1034,f83]) ).
fof(f2244,plain,
( ~ sQ48_spl
| op(e1,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f1080,f82]) ).
fof(f2247,plain,
( ~ sQ48_spl
| e0 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f1080,f122]) ).
fof(f2249,plain,
( sQ89_spl
| ~ sQ1_spl
| e3 != op(op(e0,e0),e1) ),
inference(backward_demodulation,[status(thm)],[f927,f1271]) ).
fof(f2251,plain,
( ~ sQ1_spl
| e1 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f927,f78]) ).
fof(f2254,plain,
( ~ sQ1_spl
| e1 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f927,f104]) ).
fof(f2263,plain,
( sQ88_spl
| ~ sQ41_spl
| e3 != op(op(e2,e2),e1) ),
inference(backward_demodulation,[status(thm)],[f1057,f1267]) ).
fof(f2267,plain,
( sQ85_spl
| ~ sQ2_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f2202,f952,f929,f1253]) ).
fof(f2269,plain,
( sQ81_spl
| ~ sQ41_spl
| e0 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f1057,f1238]) ).
fof(f2270,plain,
( sQ81_spl
| ~ sQ41_spl
| ~ sQ36_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f1041,f2269]) ).
fof(f2271,plain,
( sQ81_spl
| ~ sQ41_spl
| ~ sQ36_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2270]) ).
fof(f2272,plain,
( sQ81_spl
| ~ sQ41_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f2271]) ).
fof(f2275,plain,
( ~ sQ51_spl
| ~ sQ48_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f1080,f1089]) ).
fof(f2276,plain,
( ~ sQ51_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2275,f128]) ).
fof(f2277,plain,
( ~ sQ51_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f2276]) ).
fof(f2278,plain,
( sQ89_spl
| ~ sQ1_spl
| e3 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f927,f2249]) ).
fof(f2280,plain,
( ~ sQ1_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f2254,f965,f926]) ).
fof(f2281,plain,
( ~ sQ1_spl
| e1 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f927,f103]) ).
fof(f2283,plain,
( ~ sQ55_spl
| op(e0,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f1102,f86]) ).
fof(f2284,plain,
( ~ sQ55_spl
| e3 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f1102,f124]) ).
fof(f2287,plain,
( ~ sQ24_spl
| op(e1,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f1002,f111]) ).
fof(f2297,plain,
( ~ sQ57_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f2075,f1004,f1108]) ).
fof(f2298,plain,
( ~ sQ57_spl
| ~ sQ58_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f1112,f1109]) ).
fof(f2299,plain,
( ~ sQ57_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2298,f129]) ).
fof(f2300,plain,
( ~ sQ57_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f2299]) ).
fof(f2302,plain,
( ~ sQ12_spl
| op(e0,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f963,f107]) ).
fof(f2305,plain,
( ~ sQ12_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f2137,f1014,f962]) ).
fof(f2315,plain,
( ~ sQ21_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f2156,f1004,f991]) ).
fof(f2316,plain,
( ~ sQ21_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f2166,f1043,f991]) ).
fof(f2317,plain,
( ~ sQ21_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f2185,f978,f991]) ).
fof(f2318,plain,
( ~ sQ21_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f2150,f1095,f991]) ).
fof(f2321,plain,
( ~ sQ32_spl
| e0 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f1028,f116]) ).
fof(f2324,plain,
( ~ sQ38_spl
| e2 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f1047,f117]) ).
fof(f2328,plain,
( ~ sQ55_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f2283,f945,f1101]) ).
fof(f2329,plain,
( ~ sQ55_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f2284,f1127,f1101]) ).
fof(f2342,plain,
( ~ sQ51_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f2128,f1127,f1088]) ).
fof(f2343,plain,
( ~ sQ51_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f2138,f1101,f1088]) ).
fof(f2354,plain,
( ~ sQ42_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1060,f2324]) ).
fof(f2355,plain,
( ~ sQ42_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f2354]) ).
fof(f2362,plain,
( ~ sQ45_spl
| op(e1,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f1070,f99]) ).
fof(f2365,plain,
( ~ sQ27_spl
| op(e0,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f1011,f90]) ).
fof(f2377,plain,
( ~ sQ55_spl
| e3 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f1102,f123]) ).
fof(f2380,plain,
( ~ sQ56_spl
| op(e0,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f1106,f92]) ).
fof(f2384,plain,
( ~ sQ56_spl
| e0 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f1106,f125]) ).
fof(f2385,plain,
( ~ sQ56_spl
| op(e3,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f1106,f121]) ).
fof(f2386,plain,
( ~ sQ18_spl
| e2 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f982,f82]) ).
fof(f2392,plain,
( ~ sQ9_spl
| op(e0,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f953,f105]) ).
fof(f2393,plain,
( ~ sQ46_spl
| ~ sQ45_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f1070,f1073]) ).
fof(f2394,plain,
( ~ sQ46_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2393,f129]) ).
fof(f2395,plain,
( ~ sQ46_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f2394]) ).
fof(f2396,plain,
( ~ sQ15_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f972,f104]) ).
fof(f2401,plain,
( ~ sQ32_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f2321,f1066,f1027]) ).
fof(f2408,plain,
( ~ sQ15_spl
| e3 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f972,f97]) ).
fof(f2416,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f953,f950]) ).
fof(f2417,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2416,f126]) ).
fof(f2418,plain,
( ~ sQ8_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f2417]) ).
fof(f2421,plain,
( ~ sQ33_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f2033,f1069,f1030]) ).
fof(f2422,plain,
( ~ sQ33_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f2034,f1056,f1030]) ).
fof(f2423,plain,
( ~ sQ33_spl
| ~ sQ32_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f1028,f1031]) ).
fof(f2424,plain,
( ~ sQ33_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2423,f126]) ).
fof(f2425,plain,
( ~ sQ33_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f2424]) ).
fof(f2427,plain,
( ~ sQ6_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f2042,f1098,f942]) ).
fof(f2428,plain,
( ~ sQ6_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f2044,f994,f942]) ).
fof(f2434,plain,
( ~ sQ13_spl
| ~ sQ15_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f972,f966]) ).
fof(f2435,plain,
( ~ sQ13_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2434,f130]) ).
fof(f2436,plain,
( ~ sQ13_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f2435]) ).
fof(f2438,plain,
( ~ sQ24_spl
| e0 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f1002,f113]) ).
fof(f2443,plain,
( ~ sQ22_spl
| e2 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f995,f88]) ).
fof(f2447,plain,
( ~ sQ22_spl
| e2 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f995,f111]) ).
fof(f2451,plain,
( ~ sQ22_spl
| e2 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f995,f87]) ).
fof(f2452,plain,
( sQ87_spl
| ~ sQ22_spl
| e3 != op(e2,op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f995,f1263]) ).
fof(f2453,plain,
( sQ87_spl
| ~ sQ22_spl
| e3 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f995,f2452]) ).
fof(f2454,plain,
( ~ sQ4_spl
| e0 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f937,f84]) ).
fof(f2457,plain,
( sQ70_spl
| ~ sQ22_spl
| e0 != op(e2,op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f995,f1196]) ).
fof(f2458,plain,
( sQ70_spl
| ~ sQ22_spl
| e0 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f995,f2457]) ).
fof(f2466,plain,
( ~ sQ55_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f2377,f1114,f1101]) ).
fof(f2467,plain,
( ~ sQ34_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f2240,f1085,f1033]) ).
fof(f2474,plain,
( ~ sQ19_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f2113,f932,f984]) ).
fof(f2483,plain,
( ~ sQ34_spl
| e2 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f1034,f116]) ).
fof(f2485,plain,
( ~ sQ36_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f2164,f936,f1040]) ).
fof(f2493,plain,
( sQ68_spl
| ~ sQ61_spl
| e0 != op(op(e3,e3),e1) ),
inference(backward_demodulation,[status(thm)],[f1122,f1189]) ).
fof(f2494,plain,
( sQ83_spl
| ~ sQ61_spl
| e2 != op(op(e3,e3),e1) ),
inference(backward_demodulation,[status(thm)],[f1122,f1246]) ).
fof(f2506,plain,
( ~ sQ4_spl
| e0 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f937,f105]) ).
fof(f2507,plain,
( ~ sQ21_spl
| ~ sQ22_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f995,f992]) ).
fof(f2508,plain,
( ~ sQ21_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2507,f129]) ).
fof(f2509,plain,
( ~ sQ21_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f2508]) ).
fof(f2511,plain,
( ~ sQ14_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f2057,f1072,f968]) ).
fof(f2523,plain,
( ~ sQ3_spl
| e3 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f933,f103]) ).
fof(f2526,plain,
( sQ84_spl
| ~ sQ3_spl
| e2 != op(op(e0,e0),e3) ),
inference(backward_demodulation,[status(thm)],[f933,f1250]) ).
fof(f2527,plain,
( sQ77_spl
| ~ sQ3_spl
| e1 != op(op(e0,e0),e3) ),
inference(backward_demodulation,[status(thm)],[f933,f1223]) ).
fof(f2529,plain,
( ~ sQ3_spl
| e3 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f933,f102]) ).
fof(f2534,plain,
( ~ sQ9_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f2392,f939,f952]) ).
fof(f2540,plain,
( ~ sQ22_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f2443,f1098,f994]) ).
fof(f2541,plain,
( sQ68_spl
| ~ sQ61_spl
| e0 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f1122,f2493]) ).
fof(f2543,plain,
( sQ83_spl
| ~ sQ61_spl
| e2 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f1122,f2494]) ).
fof(f2544,plain,
( sQ83_spl
| ~ sQ61_spl
| ~ sQ22_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f995,f2543]) ).
fof(f2545,plain,
( sQ83_spl
| ~ sQ61_spl
| ~ sQ22_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2544]) ).
fof(f2546,plain,
( sQ83_spl
| ~ sQ61_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f2545]) ).
fof(f2557,plain,
( ~ sQ42_spl
| e2 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f1060,f119]) ).
fof(f2559,plain,
( ~ sQ39_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f2098,f1062,f1049]) ).
fof(f2563,plain,
( ~ sQ39_spl
| e3 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f1050,f118]) ).
fof(f2567,plain,
( ~ sQ56_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f2384,f1118,f1105]) ).
fof(f2568,plain,
( ~ sQ56_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f2385,f1079,f1105]) ).
fof(f2570,plain,
( ~ sQ56_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2380,f949,f1105]) ).
fof(f2571,plain,
( ~ sQ27_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f2094,f1062,f1010]) ).
fof(f2574,plain,
( ~ sQ27_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f2365,f958,f1010]) ).
fof(f2577,plain,
( ~ sQ4_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2506,f949,f936]) ).
fof(f2583,plain,
( ~ sQ35_spl
| ~ sQ34_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f1034,f1037]) ).
fof(f2584,plain,
( ~ sQ35_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2583,f131]) ).
fof(f2585,plain,
( ~ sQ35_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f2584]) ).
fof(f2586,plain,
( ~ sQ58_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f2142,f1007,f1111]) ).
fof(f2589,plain,
( ~ sQ17_spl
| e1 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f979,f82]) ).
fof(f2591,plain,
( ~ sQ17_spl
| e1 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f979,f81]) ).
fof(f2596,plain,
( ~ sQ29_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f2229,f1121,f1017]) ).
fof(f2597,plain,
( ~ sQ29_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f2230,f978,f1017]) ).
fof(f2602,plain,
( ~ sQ35_spl
| e3 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f1037,f114]) ).
fof(f2608,plain,
( ~ sQ46_spl
| e2 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f1073,f101]) ).
fof(f2609,plain,
( ~ sQ46_spl
| op(e1,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f1073,f99]) ).
fof(f2616,plain,
( sQ79_spl
| ~ sQ61_spl
| e0 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f1122,f1230]) ).
fof(f2617,plain,
( sQ68_spl
| ~ sQ61_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f2541,f988,f1121,f1187]) ).
fof(f2621,plain,
( ~ sQ46_spl
| op(e2,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f1073,f118]) ).
fof(f2633,plain,
( ~ sQ0_spl
| e0 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f924,f102]) ).
fof(f2637,plain,
( ~ sQ0_spl
| e0 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f924,f80]) ).
fof(f2641,plain,
( ~ sQ42_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f2557,f1072,f1059]) ).
fof(f2655,plain,
( ~ sQ43_spl
| ~ sQ42_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f1060,f1063]) ).
fof(f2656,plain,
( ~ sQ43_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2655,f131]) ).
fof(f2657,plain,
( ~ sQ43_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f2656]) ).
fof(f2661,plain,
( ~ sQ18_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f2386,f1085,f981]) ).
fof(f2668,plain,
( ~ sQ15_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f2396,f932,f971]) ).
fof(f2680,plain,
( ~ sQ28_spl
| op(e1,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f1015,f112]) ).
fof(f2687,plain,
( ~ sQ3_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f2523,f958,f932]) ).
fof(f2690,plain,
( ~ sQ3_spl
| ~ sQ0_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f924,f933]) ).
fof(f2691,plain,
( ~ sQ3_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2690,f128]) ).
fof(f2692,plain,
( ~ sQ3_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f2691]) ).
fof(f2693,plain,
( sQ79_spl
| ~ sQ61_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f2616,f1092,f1121,f1228]) ).
fof(f2694,plain,
( sQ69_spl
| ~ sQ61_spl
| e2 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f1122,f1192]) ).
fof(f2696,plain,
( ~ sQ61_spl
| op(e2,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f1122,f101]) ).
fof(f2698,plain,
( ~ sQ33_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f2038,f926,f1030]) ).
fof(f2708,plain,
( sQ75_spl
| ~ sQ43_spl
| e1 != op(op(e2,e2),e3) ),
inference(backward_demodulation,[status(thm)],[f1063,f1215]) ).
fof(f2711,plain,
( ~ sQ43_spl
| e3 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f1063,f119]) ).
fof(f2714,plain,
( ~ sQ34_spl
| ~ sQ33_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f1031,f1034]) ).
fof(f2715,plain,
( ~ sQ34_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2714,f129]) ).
fof(f2716,plain,
( ~ sQ34_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f2715]) ).
fof(f2718,plain,
( ~ sQ46_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f2608,f1124,f1072]) ).
fof(f2719,plain,
( ~ sQ46_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f2609,f1020,f1072]) ).
fof(f2725,plain,
( ~ sQ46_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f2621,f1046,f1072]) ).
fof(f2726,plain,
( ~ sQ30_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f2051,f1124,f1020]) ).
fof(f2738,plain,
( ~ sQ58_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f2144,f1124,f1111]) ).
fof(f2742,plain,
( ~ sQ12_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2302,f949,f962]) ).
fof(f2745,plain,
( ~ sQ12_spl
| op(e0,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f963,f106]) ).
fof(f2757,plain,
( ~ sQ38_spl
| op(e0,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f1047,f85]) ).
fof(f2768,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f963,f972]) ).
fof(f2769,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2768,f128]) ).
fof(f2770,plain,
( ~ sQ15_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f2769]) ).
fof(f2771,plain,
( ~ sQ15_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f2408,f1075,f971]) ).
fof(f2772,plain,
( ~ sQ2_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f2196,f981,f929]) ).
fof(f2774,plain,
( sQ77_spl
| ~ sQ2_spl
| e1 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f930,f2204]) ).
fof(f2783,plain,
( sQ76_spl
| ~ sQ62_spl
| e1 != op(op(e3,e3),e2) ),
inference(backward_demodulation,[status(thm)],[f1125,f1219]) ).
fof(f2790,plain,
( ~ sQ51_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f2129,f1114,f1088]) ).
fof(f2796,plain,
( ~ sQ34_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f2177,f981,f1033]) ).
fof(f2797,plain,
( ~ sQ34_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f2176,f929,f1033]) ).
fof(f2800,plain,
( sQ72_spl
| ~ sQ62_spl
| e1 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f1125,f1203]) ).
fof(f2808,plain,
( ~ sQ62_spl
| op(e0,e3) != e2 ),
inference(forward_demodulation,[status(thm)],[f1125,f98]) ).
fof(f2810,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f930,f927]) ).
fof(f2811,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2810,f129]) ).
fof(f2812,plain,
( ~ sQ1_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f2811]) ).
fof(f2836,plain,
( sQ88_spl
| ~ sQ41_spl
| e3 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f1057,f2263]) ).
fof(f2842,plain,
( sQ66_spl
| ~ sQ41_spl
| e0 != op(op(e2,e2),e1) ),
inference(backward_demodulation,[status(thm)],[f1057,f1182]) ).
fof(f2846,plain,
( ~ sQ26_spl
| ~ sQ24_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f1002,f1008]) ).
fof(f2847,plain,
( ~ sQ26_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2846,f127]) ).
fof(f2848,plain,
( ~ sQ26_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f2847]) ).
fof(f2852,plain,
( ~ sQ43_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f2711,f1075,f1062]) ).
fof(f2855,plain,
( sQ75_spl
| ~ sQ43_spl
| e1 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f1063,f2708]) ).
fof(f2856,plain,
( ~ sQ12_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f2745,f936,f962]) ).
fof(f2863,plain,
( ~ sQ12_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f2126,f1118,f962]) ).
fof(f2869,plain,
( ~ sQ49_spl
| e1 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f1083,f122]) ).
fof(f2874,plain,
( ~ sQ48_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f2247,f1118,f1079]) ).
fof(f2875,plain,
( ~ sQ48_spl
| ~ sQ49_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f1083,f1080]) ).
fof(f2876,plain,
( ~ sQ48_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2875,f126]) ).
fof(f2877,plain,
( ~ sQ48_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f2876]) ).
fof(f2884,plain,
( ~ sQ34_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f2483,f1072,f1033]) ).
fof(f2894,plain,
( sQ66_spl
| ~ sQ43_spl
| e0 != op(e3,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f1063,f1182]) ).
fof(f2895,plain,
( sQ66_spl
| ~ sQ43_spl
| e0 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f1063,f2894]) ).
fof(f2900,plain,
( ~ sQ16_spl
| e0 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f976,f110]) ).
fof(f2902,plain,
( sQ75_spl
| ~ sQ43_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f2855,f1121,f1062,f1213]) ).
fof(f2904,plain,
( sQ69_spl
| ~ sQ61_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f2694,f1098,f1121,f1190]) ).
fof(f2923,plain,
( ~ sQ61_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f2696,f1069,f1121]) ).
fof(f2924,plain,
( ~ sQ1_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f2281,f952,f926]) ).
fof(f2926,plain,
( sQ84_spl
| ~ sQ1_spl
| e2 != op(op(e0,e0),e1) ),
inference(backward_demodulation,[status(thm)],[f927,f1250]) ).
fof(f2927,plain,
( ~ sQ1_spl
| e1 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f927,f102]) ).
fof(f2935,plain,
( ~ sQ26_spl
| op(e0,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f1008,f90]) ).
fof(f2938,plain,
( ~ sQ26_spl
| e2 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f1008,f93]) ).
fof(f2943,plain,
( ~ sQ54_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f2058,f1124,f1098]) ).
fof(f2944,plain,
( ~ sQ54_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f2061,f1046,f1098]) ).
fof(f2946,plain,
( ~ sQ54_spl
| op(e3,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f1099,f120]) ).
fof(f2980,plain,
( ~ sQ0_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f2633,f936,f923]) ).
fof(f2982,plain,
( ~ sQ0_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f2637,f1079,f923]) ).
fof(f2984,plain,
( ~ sQ0_spl
| ~ sQ1_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f927,f924]) ).
fof(f2985,plain,
( ~ sQ0_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2984,f126]) ).
fof(f2986,plain,
( ~ sQ0_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f2985]) ).
fof(f3005,plain,
( ~ sQ45_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f2067,f1056,f1069]) ).
fof(f3017,plain,
( sQ84_spl
| ~ sQ1_spl
| e2 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f927,f2926]) ).
fof(f3024,plain,
( sQ66_spl
| ~ sQ43_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f2895,f1118,f1062,f1180]) ).
fof(f3032,plain,
( ~ sQ51_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f2130,f984,f1088]) ).
fof(f3036,plain,
( ~ sQ28_spl
| e0 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f1015,f100]) ).
fof(f3044,plain,
( ~ sQ43_spl
| op(e2,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f1063,f115]) ).
fof(f3047,plain,
( ~ sQ60_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1119,f3036]) ).
fof(f3048,plain,
( ~ sQ60_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f3047]) ).
fof(f3051,plain,
( ~ sQ43_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f3044,f1036,f1062]) ).
fof(f3053,plain,
( sQ74_spl
| ~ sQ43_spl
| e1 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f1063,f1211]) ).
fof(f3054,plain,
( ~ sQ28_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f2680,f988,f1014]) ).
fof(f3058,plain,
( ~ sQ24_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f2287,f988,f1001]) ).
fof(f3090,plain,
( ~ sQ4_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f2454,f988,f936]) ).
fof(f3105,plain,
( ~ sQ25_spl
| e1 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f1005,f93]) ).
fof(f3123,plain,
( ~ sQ15_spl
| e3 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f972,f98]) ).
fof(f3147,plain,
( sQ74_spl
| ~ sQ43_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f3053,f1069,f1062,f1209]) ).
fof(f3148,plain,
( ~ sQ37_spl
| e1 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f1044,f118]) ).
fof(f3153,plain,
( sQ76_spl
| ~ sQ62_spl
| e1 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f1125,f2783]) ).
fof(f3159,plain,
( ~ sQ62_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f2808,f968,f1124]) ).
fof(f3161,plain,
( ~ sQ22_spl
| sQ84_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f995,f3017]) ).
fof(f3162,plain,
( ~ sQ22_spl
| sQ84_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f3161]) ).
fof(f3164,plain,
( ~ sQ45_spl
| ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1070,f3148]) ).
fof(f3165,plain,
( ~ sQ45_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f3164]) ).
fof(f3179,plain,
( ~ sQ59_spl
| e3 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f1115,f125]) ).
fof(f3181,plain,
( ~ sQ59_spl
| op(e2,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f1115,f95]) ).
fof(f3188,plain,
( ~ sQ39_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f2563,f1075,f1049]) ).
fof(f3189,plain,
( ~ sQ60_spl
| op(e2,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f1119,f101]) ).
fof(f3198,plain,
( ~ sQ40_spl
| e0 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f1054,f119]) ).
fof(f3201,plain,
( sQ88_spl
| ~ sQ40_spl
| e3 != op(e0,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f1054,f1267]) ).
fof(f3202,plain,
( sQ88_spl
| ~ sQ40_spl
| e3 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f1054,f3201]) ).
fof(f3204,plain,
( ~ sQ52_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f2160,f1118,f1092]) ).
fof(f3205,plain,
( ~ sQ52_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f2161,f936,f1092]) ).
fof(f3222,plain,
( ~ sQ49_spl
| op(e0,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f1083,f80]) ).
fof(f3228,plain,
( sQ76_spl
| ~ sQ62_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f3153,f1056,f1124,f1217]) ).
fof(f3232,plain,
( ~ sQ62_spl
| ~ sQ60_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f1119,f1125]) ).
fof(f3233,plain,
( ~ sQ62_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3232,f127]) ).
fof(f3234,plain,
( ~ sQ62_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f3233]) ).
fof(f3242,plain,
( ~ sQ3_spl
| sQ88_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f933,f3202]) ).
fof(f3243,plain,
( ~ sQ3_spl
| sQ88_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f3242]) ).
fof(f3244,plain,
( ~ sQ40_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f3198,f1066,f1053]) ).
fof(f3245,plain,
( sQ70_spl
| ~ sQ22_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f2458,f1053,f994,f1194]) ).
fof(f3247,plain,
( ~ sQ40_spl
| op(e2,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f1054,f115]) ).
fof(f3250,plain,
( ~ sQ22_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f2451,f1046,f994]) ).
fof(f3251,plain,
( ~ sQ22_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f2447,f1007,f994]) ).
fof(f3256,plain,
( ~ sQ22_spl
| e2 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f995,f112]) ).
fof(f3268,plain,
( ~ sQ33_spl
| e1 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f1031,f114]) ).
fof(f3273,plain,
( ~ sQ5_spl
| e1 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f940,f86]) ).
fof(f3274,plain,
( ~ sQ5_spl
| e1 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f940,f85]) ).
fof(f3284,plain,
( ~ sQ60_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f3189,f1066,f1118]) ).
fof(f3304,plain,
( ~ sQ20_spl
| ~ sQ22_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f995,f989]) ).
fof(f3305,plain,
( ~ sQ20_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3304,f127]) ).
fof(f3306,plain,
( ~ sQ20_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f3305]) ).
fof(f3312,plain,
( ~ sQ59_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f3181,f1062,f1114]) ).
fof(f3315,plain,
( ~ sQ59_spl
| op(e1,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f1115,f94]) ).
fof(f3324,plain,
( ~ sQ26_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2935,f955,f1007]) ).
fof(f3336,plain,
( ~ sQ19_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f2112,f997,f984]) ).
fof(f3339,plain,
( ~ sQ53_spl
| op(e3,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f1096,f120]) ).
fof(f3347,plain,
( ~ sQ16_spl
| ~ sQ19_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f985,f976]) ).
fof(f3348,plain,
( ~ sQ16_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3347,f128]) ).
fof(f3349,plain,
( ~ sQ16_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f3348]) ).
fof(f3350,plain,
( ~ sQ1_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f2251,f978,f926]) ).
fof(f3358,plain,
( ~ sQ1_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f2927,f939,f926]) ).
fof(f3361,plain,
( sQ72_spl
| ~ sQ62_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f2800,f1108,f1124,f1201]) ).
fof(f3381,plain,
( ~ sQ48_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f2244,f975,f1079]) ).
fof(f3389,plain,
( sQ89_spl
| ~ sQ1_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f2278,f997,f926,f1269]) ).
fof(f3397,plain,
( ~ sQ23_spl
| op(e0,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f998,f84]) ).
fof(f3402,plain,
( ~ sQ10_spl
| e2 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f956,f91]) ).
fof(f3416,plain,
( ~ sQ22_spl
| ~ sQ23_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f998,f995]) ).
fof(f3417,plain,
( ~ sQ22_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3416,f131]) ).
fof(f3418,plain,
( ~ sQ22_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f3417]) ).
fof(f3423,plain,
( sQ67_spl
| ~ sQ40_spl
| e3 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f1054,f1185]) ).
fof(f3425,plain,
( ~ sQ40_spl
| e0 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f1054,f95]) ).
fof(f3426,plain,
( ~ sQ40_spl
| op(e2,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f1054,f117]) ).
fof(f3427,plain,
( ~ sQ40_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f3247,f1027,f1053]) ).
fof(f3428,plain,
( ~ sQ5_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f3273,f1095,f939]) ).
fof(f3433,plain,
( ~ sQ5_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f3274,f1043,f939]) ).
fof(f3436,plain,
( ~ sQ57_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f2074,f1056,f1108]) ).
fof(f3440,plain,
( ~ sQ57_spl
| op(e3,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f1109,f121]) ).
fof(f3445,plain,
( ~ sQ43_spl
| ~ sQ40_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f1054,f1063]) ).
fof(f3446,plain,
( ~ sQ43_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3445,f128]) ).
fof(f3447,plain,
( ~ sQ43_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f3446]) ).
fof(f3499,plain,
( ~ sQ19_spl
| e3 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f985,f81]) ).
fof(f3501,plain,
( ~ sQ19_spl
| e3 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f985,f110]) ).
fof(f3504,plain,
( ~ sQ20_spl
| e0 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f989,f88]) ).
fof(f3506,plain,
( sQ82_spl
| ~ sQ20_spl
| e2 != op(e0,op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f989,f1242]) ).
fof(f3507,plain,
( sQ82_spl
| ~ sQ20_spl
| e2 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f989,f3506]) ).
fof(f3523,plain,
( ~ sQ2_spl
| ~ sQ0_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f924,f930]) ).
fof(f3524,plain,
( ~ sQ2_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3523,f127]) ).
fof(f3525,plain,
( ~ sQ2_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f3524]) ).
fof(f3530,plain,
( ~ sQ49_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f3222,f926,f1082]) ).
fof(f3531,plain,
( ~ sQ49_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f2869,f1121,f1082]) ).
fof(f3533,plain,
( ~ sQ11_spl
| e3 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f959,f107]) ).
fof(f3537,plain,
( ~ sQ11_spl
| e3 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f959,f92]) ).
fof(f3539,plain,
( ~ sQ37_spl
| e1 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f1044,f89]) ).
fof(f3543,plain,
( ~ sQ25_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f3105,f1056,f1004]) ).
fof(f3553,plain,
( sQ80_spl
| ~ sQ1_spl
| e2 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f927,f1234]) ).
fof(f3568,plain,
( ~ sQ31_spl
| e3 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f1024,f100]) ).
fof(f3569,plain,
( ~ sQ31_spl
| op(e1,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f1024,f112]) ).
fof(f3573,plain,
( ~ sQ61_spl
| op(e0,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f1122,f98]) ).
fof(f3585,plain,
( ~ sQ55_spl
| op(e1,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f1102,f88]) ).
fof(f3615,plain,
( ~ sQ37_spl
| e1 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f1044,f117]) ).
fof(f3620,plain,
( ~ sQ28_spl
| ~ sQ31_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f1024,f1015]) ).
fof(f3621,plain,
( ~ sQ28_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3620,f128]) ).
fof(f3622,plain,
( ~ sQ28_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f3621]) ).
fof(f3627,plain,
( ~ sQ35_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f2602,f1049,f1036]) ).
fof(f3628,plain,
( ~ sQ11_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f3537,f1114,f958]) ).
fof(f3639,plain,
( sQ67_spl
| ~ sQ40_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f3423,f1036,f1053,f1183]) ).
fof(f3650,plain,
( sQ74_spl
| ~ sQ40_spl
| e1 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f1054,f1211]) ).
fof(f3657,plain,
( ~ sQ50_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f2066,f929,f1085]) ).
fof(f3660,plain,
( sQ82_spl
| ~ sQ20_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f3507,f929,f988,f1240]) ).
fof(f3662,plain,
( sQ77_spl
| ~ sQ2_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f2774,f1056,f929,f1221]) ).
fof(f3673,plain,
( ~ sQ20_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f3504,f1092,f988]) ).
fof(f3678,plain,
( ~ sQ41_spl
| ~ sQ40_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f1054,f1057]) ).
fof(f3679,plain,
( ~ sQ41_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3678,f126]) ).
fof(f3680,plain,
( ~ sQ41_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f3679]) ).
fof(f3684,plain,
( ~ sQ17_spl
| e1 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f979,f109]) ).
fof(f3689,plain,
( ~ sQ51_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f2131,f932,f1088]) ).
fof(f3711,plain,
( sQ71_spl
| ~ sQ22_spl
| e3 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f995,f1199]) ).
fof(f3715,plain,
( ~ sQ22_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f3256,f1020,f994]) ).
fof(f3721,plain,
( ~ sQ34_spl
| e2 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f1034,f114]) ).
fof(f3736,plain,
( sQ80_spl
| ~ sQ3_spl
| e2 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f933,f1234]) ).
fof(f3740,plain,
( ~ sQ3_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f2529,f945,f932]) ).
fof(f3741,plain,
( sQ84_spl
| ~ sQ3_spl
| e2 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f933,f2526]) ).
fof(f3751,plain,
( ~ sQ16_spl
| ~ sQ17_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f979,f976]) ).
fof(f3752,plain,
( ~ sQ16_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3751,f126]) ).
fof(f3753,plain,
( ~ sQ16_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f3752]) ).
fof(f3757,plain,
( ~ sQ3_spl
| e3 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f933,f79]) ).
fof(f3758,plain,
( sQ74_spl
| ~ sQ40_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f3650,f1030,f1053,f1209]) ).
fof(f3766,plain,
( ~ sQ10_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f3402,f1059,f955]) ).
fof(f3770,plain,
( ~ sQ10_spl
| e2 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f956,f107]) ).
fof(f3777,plain,
( sQ75_spl
| ~ sQ40_spl
| e1 != op(e0,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f1054,f1215]) ).
fof(f3778,plain,
( sQ75_spl
| ~ sQ40_spl
| e1 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f1054,f3777]) ).
fof(f3794,plain,
( sQ71_spl
| ~ sQ22_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f3711,f1010,f994,f1197]) ).
fof(f3796,plain,
( sQ84_spl
| ~ sQ3_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f3741,f1124,f932,f1248]) ).
fof(f3827,plain,
( ~ sQ57_spl
| e1 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f1109,f125]) ).
fof(f3837,plain,
( sQ80_spl
| ~ sQ1_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f3553,f942,f926,f1232]) ).
fof(f3859,plain,
( ~ sQ34_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f3721,f1046,f1033]) ).
fof(f3872,plain,
( ~ sQ38_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f2757,f942,f1046]) ).
fof(f3889,plain,
( sQ68_spl
| ~ sQ62_spl
| e0 != op(op(e3,e3),e2) ),
inference(backward_demodulation,[status(thm)],[f1125,f1189]) ).
fof(f3898,plain,
( sQ75_spl
| ~ sQ40_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f3778,f926,f1053,f1213]) ).
fof(f3911,plain,
( ~ sQ26_spl
| ~ sQ27_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f1011,f1008]) ).
fof(f3912,plain,
( ~ sQ26_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3911,f131]) ).
fof(f3913,plain,
( ~ sQ26_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f3912]) ).
fof(f3914,plain,
( ~ sQ45_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f2362,f1017,f1069]) ).
fof(f3934,plain,
( ~ sQ40_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f3426,f1040,f1053]) ).
fof(f3955,plain,
( sQ76_spl
| ~ sQ60_spl
| e1 != op(op(e3,e3),e0) ),
inference(backward_demodulation,[status(thm)],[f1119,f1219]) ).
fof(f3965,plain,
( ~ sQ59_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f3315,f1010,f1114]) ).
fof(f3969,plain,
( ~ sQ47_spl
| ~ sQ45_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f1070,f1076]) ).
fof(f3970,plain,
( ~ sQ47_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3969,f130]) ).
fof(f3971,plain,
( ~ sQ47_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f3970]) ).
fof(f3973,plain,
( ~ sQ27_spl
| op(e1,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f1011,f109]) ).
fof(f3982,plain,
( ~ sQ29_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f2226,f965,f1017]) ).
fof(f3993,plain,
( ~ sQ30_spl
| ~ sQ29_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f1018,f1021]) ).
fof(f3994,plain,
( ~ sQ30_spl
| ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3993,f129]) ).
fof(f3995,plain,
( ~ sQ30_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f3994]) ).
fof(f3997,plain,
( ~ sQ47_spl
| op(e2,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f1076,f116]) ).
fof(f4000,plain,
( ~ sQ47_spl
| op(e1,e3) != e3 ),
inference(forward_demodulation,[status(thm)],[f1076,f99]) ).
fof(f4005,plain,
( ~ sQ16_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f2900,f1014,f975]) ).
fof(f4019,plain,
( sQ78_spl
| ~ sQ1_spl
| e3 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f927,f1226]) ).
fof(f4027,plain,
( ~ sQ34_spl
| e2 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f1034,f115]) ).
fof(f4057,plain,
( ~ sQ40_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f3425,f1105,f1053]) ).
fof(f4116,plain,
( ~ sQ25_spl
| ~ sQ26_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f1008,f1005]) ).
fof(f4117,plain,
( ~ sQ25_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4116,f129]) ).
fof(f4118,plain,
( ~ sQ25_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f4117]) ).
fof(f4131,plain,
( ~ sQ37_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f3615,f1056,f1043]) ).
fof(f4135,plain,
( sQ70_spl
| ~ sQ23_spl
| e0 != op(e3,op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f998,f1196]) ).
fof(f4136,plain,
( sQ70_spl
| ~ sQ23_spl
| e0 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f998,f4135]) ).
fof(f4142,plain,
( ~ sQ34_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f4027,f1059,f1033]) ).
fof(f4154,plain,
( ~ sQ48_spl
| e0 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f1080,f120]) ).
fof(f4159,plain,
( ~ sQ47_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f4000,f1023,f1075]) ).
fof(f4177,plain,
( ~ sQ58_spl
| op(e3,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f1112,f123]) ).
fof(f4182,plain,
( ~ sQ58_spl
| op(e0,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f1112,f92]) ).
fof(f4184,plain,
( sQ78_spl
| ~ sQ2_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f2197,f958,f929,f1224]) ).
fof(f4196,plain,
( ~ sQ40_spl
| op(e0,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f1054,f91]) ).
fof(f4202,plain,
( sQ87_spl
| ~ sQ20_spl
| e3 != op(op(e1,e1),e0) ),
inference(backward_demodulation,[status(thm)],[f989,f1263]) ).
fof(f4282,plain,
( ~ sQ19_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f3501,f1023,f984]) ).
fof(f4306,plain,
( sQ71_spl
| ~ sQ20_spl
| e3 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f989,f1199]) ).
fof(f4307,plain,
( sQ71_spl
| ~ sQ20_spl
| ~ sQ19_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f985,f4306]) ).
fof(f4308,plain,
( sQ71_spl
| ~ sQ20_spl
| ~ sQ19_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4307]) ).
fof(f4309,plain,
( sQ71_spl
| ~ sQ20_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f4308]) ).
fof(f4310,plain,
( ~ sQ31_spl
| ~ sQ30_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f1021,f1024]) ).
fof(f4311,plain,
( ~ sQ31_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4310,f131]) ).
fof(f4312,plain,
( ~ sQ31_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f4311]) ).
fof(f4315,plain,
( ~ sQ48_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f4154,f1092,f1079]) ).
fof(f4319,plain,
( ~ sQ57_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f3827,f1121,f1108]) ).
fof(f4328,plain,
( ~ sQ61_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f3573,f965,f1121]) ).
fof(f4336,plain,
( ~ sQ57_spl
| op(e3,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f1109,f123]) ).
fof(f4351,plain,
( ~ sQ40_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f4196,f949,f1053]) ).
fof(f4378,plain,
( ~ sQ62_spl
| ~ sQ61_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f1122,f1125]) ).
fof(f4379,plain,
( ~ sQ62_spl
| ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4378,f129]) ).
fof(f4380,plain,
( ~ sQ62_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f4379]) ).
fof(f4381,plain,
( sQ70_spl
| ~ sQ23_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f4136,f1118,f997,f1194]) ).
fof(f4384,plain,
( sQ76_spl
| ~ sQ60_spl
| e1 != op(e0,e0) ),
inference(backward_demodulation,[status(thm)],[f1119,f3955]) ).
fof(f4403,plain,
( ~ sQ55_spl
| op(e2,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f1102,f89]) ).
fof(f4407,plain,
( ~ sQ55_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f3585,f997,f1101]) ).
fof(f4430,plain,
( ~ sQ57_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f3440,f1082,f1108]) ).
fof(f4445,plain,
( ~ sQ17_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f2589,f1082,f978]) ).
fof(f4450,plain,
( ~ sQ31_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f3569,f997,f1023]) ).
fof(f4456,plain,
( ~ sQ31_spl
| op(e1,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f1024,f113]) ).
fof(f4476,plain,
( ~ sQ54_spl
| ~ sQ55_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f1102,f1099]) ).
fof(f4477,plain,
( ~ sQ54_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4476,f131]) ).
fof(f4478,plain,
( ~ sQ54_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f4477]) ).
fof(f4504,plain,
( ~ sQ17_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f2591,f1030,f978]) ).
fof(f4512,plain,
( ~ sQ17_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f3684,f1004,f978]) ).
fof(f4551,plain,
( ~ sQ55_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f4403,f1049,f1101]) ).
fof(f4609,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f937,f940]) ).
fof(f4610,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4609,f126]) ).
fof(f4611,plain,
( ~ sQ5_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f4610]) ).
fof(f4620,plain,
( sQ68_spl
| ~ sQ62_spl
| e0 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f1125,f3889]) ).
fof(f4657,plain,
( ~ sQ23_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f3397,f945,f997]) ).
fof(f4676,plain,
( ~ sQ47_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f3997,f1036,f1075]) ).
fof(f4728,plain,
( ~ sQ37_spl
| ~ sQ38_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f1047,f1044]) ).
fof(f4729,plain,
( ~ sQ37_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4728,f129]) ).
fof(f4730,plain,
( ~ sQ37_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f4729]) ).
fof(f4731,plain,
( sQ87_spl
| ~ sQ22_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f2453,f1062,f994,f1261]) ).
fof(f4761,plain,
( ~ sQ9_spl
| e1 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f953,f91]) ).
fof(f4775,plain,
( ~ sQ61_spl
| op(e3,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f1122,f124]) ).
fof(f4825,plain,
( sQ77_spl
| ~ sQ3_spl
| e1 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f933,f2527]) ).
fof(f4826,plain,
( sQ77_spl
| ~ sQ3_spl
| ~ sQ61_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f1122,f4825]) ).
fof(f4827,plain,
( sQ77_spl
| ~ sQ3_spl
| ~ sQ61_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4826]) ).
fof(f4828,plain,
( sQ77_spl
| ~ sQ3_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f4827]) ).
fof(f4838,plain,
( ~ sQ31_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f4456,f1010,f1023]) ).
fof(f4861,plain,
( sQ85_spl
| ~ sQ3_spl
| e1 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f933,f1255]) ).
fof(f4872,plain,
( ~ sQ3_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f3757,f1036,f932]) ).
fof(f4885,plain,
( sQ68_spl
| ~ sQ62_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f4620,f1053,f1124,f1187]) ).
fof(f4910,plain,
( sQ87_spl
| ~ sQ20_spl
| e3 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f989,f4202]) ).
fof(f4911,plain,
( sQ87_spl
| ~ sQ20_spl
| ~ sQ3_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f933,f4910]) ).
fof(f4912,plain,
( sQ87_spl
| ~ sQ20_spl
| ~ sQ3_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4911]) ).
fof(f4913,plain,
( sQ87_spl
| ~ sQ20_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f4912]) ).
fof(f4918,plain,
( ~ sQ27_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f2092,f997,f1010]) ).
fof(f4948,plain,
( ~ sQ23_spl
| ~ sQ20_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f989,f998]) ).
fof(f4949,plain,
( ~ sQ23_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4948,f128]) ).
fof(f4950,plain,
( ~ sQ23_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f4949]) ).
fof(f4960,plain,
( ~ sQ6_spl
| e2 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f943,f106]) ).
fof(f4963,plain,
( ~ sQ56_spl
| op(e3,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f1106,f123]) ).
fof(f4976,plain,
( ~ sQ9_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f4761,f1056,f952]) ).
fof(f4980,plain,
( ~ sQ53_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f3339,f1082,f1095]) ).
fof(f5037,plain,
( sQ88_spl
| ~ sQ41_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f2836,f997,f1056,f1265]) ).
fof(f5039,plain,
( sQ66_spl
| ~ sQ41_spl
| e0 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f1057,f2842]) ).
fof(f5047,plain,
( ~ sQ59_spl
| ~ sQ56_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f1106,f1115]) ).
fof(f5048,plain,
( ~ sQ59_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5047,f128]) ).
fof(f5049,plain,
( ~ sQ59_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f5048]) ).
fof(f5083,plain,
( sQ86_spl
| ~ sQ22_spl
| e0 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f995,f1259]) ).
fof(f5172,plain,
( ~ sQ10_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f3770,f968,f955]) ).
fof(f5173,plain,
( ~ sQ10_spl
| ~ sQ9_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f953,f956]) ).
fof(f5174,plain,
( ~ sQ10_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5173,f129]) ).
fof(f5175,plain,
( ~ sQ10_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f5174]) ).
fof(f5185,plain,
( ~ sQ24_spl
| sQ86_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1002,f5083]) ).
fof(f5186,plain,
( ~ sQ24_spl
| sQ86_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f5185]) ).
fof(f5198,plain,
( ~ sQ0_spl
| e0 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f924,f79]) ).
fof(f5206,plain,
( ~ sQ56_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f4963,f1092,f1105]) ).
fof(f5278,plain,
( ~ sQ63_spl
| ~ sQ62_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f1125,f1128]) ).
fof(f5279,plain,
( ~ sQ63_spl
| ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5278,f131]) ).
fof(f5280,plain,
( ~ sQ63_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f5279]) ).
fof(f5283,plain,
( ~ sQ7_spl
| e3 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f946,f85]) ).
fof(f5284,plain,
( ~ sQ7_spl
| e3 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f946,f106]) ).
fof(f5287,plain,
( sQ78_spl
| ~ sQ1_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f4019,f945,f926,f1224]) ).
fof(f5327,plain,
( ~ sQ19_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f3499,f1036,f984]) ).
fof(f5330,plain,
( sQ66_spl
| ~ sQ41_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f5039,f988,f1056,f1180]) ).
fof(f5356,plain,
( ~ sQ59_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f3179,f1127,f1114]) ).
fof(f5398,plain,
( sQ73_spl
| ~ sQ20_spl
| e2 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f989,f1207]) ).
fof(f5456,plain,
( sQ80_spl
| ~ sQ3_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f3736,f968,f932,f1232]) ).
fof(f5477,plain,
( ~ sQ20_spl
| op(e1,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f989,f108]) ).
fof(f5533,plain,
( sQ81_spl
| ~ sQ43_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f1063,f1238]) ).
fof(f5534,plain,
( sQ81_spl
| ~ sQ43_spl
| ~ sQ44_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f1067,f5533]) ).
fof(f5535,plain,
( sQ81_spl
| ~ sQ43_spl
| ~ sQ44_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5534]) ).
fof(f5536,plain,
( sQ81_spl
| ~ sQ43_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f5535]) ).
fof(f5537,plain,
( ~ sQ18_spl
| sQ73_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f982,f5398]) ).
fof(f5538,plain,
( ~ sQ18_spl
| sQ73_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f5537]) ).
fof(f5545,plain,
( sQ76_spl
| ~ sQ60_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f4384,f926,f1118,f1217]) ).
fof(f5586,plain,
( ~ sQ57_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f4336,f1095,f1108]) ).
fof(f5625,plain,
( ~ sQ6_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f4960,f968,f942]) ).
fof(f5662,plain,
( ~ sQ31_spl
| op(e0,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f1024,f96]) ).
fof(f5710,plain,
( ~ sQ11_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f3533,f971,f958]) ).
fof(f5715,plain,
( ~ sQ31_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f5662,f971,f1023]) ).
fof(f5761,plain,
( ~ sQ46_spl
| ~ sQ44_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f1067,f1073]) ).
fof(f5762,plain,
( ~ sQ46_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5761,f127]) ).
fof(f5763,plain,
( ~ sQ46_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f5762]) ).
fof(f5782,plain,
( sQ67_spl
| ~ sQ41_spl
| e3 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f1057,f1185]) ).
fof(f5801,plain,
( ~ sQ20_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f5477,f975,f988]) ).
fof(f5812,plain,
( ~ sQ31_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f3568,f1127,f1023]) ).
fof(f5874,plain,
( ~ sQ7_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f5283,f1049,f945]) ).
fof(f5875,plain,
( ~ sQ7_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f5284,f971,f945]) ).
fof(f5896,plain,
( ~ sQ21_spl
| ~ sQ20_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f989,f992]) ).
fof(f5897,plain,
( ~ sQ21_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5896,f126]) ).
fof(f5898,plain,
( ~ sQ21_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f5897]) ).
fof(f5962,plain,
( sQ85_spl
| ~ sQ3_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f4861,f965,f932,f1253]) ).
fof(f5998,plain,
( ~ sQ2_spl
| ~ sQ3_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f933,f930]) ).
fof(f5999,plain,
( ~ sQ2_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5998,f131]) ).
fof(f6000,plain,
( ~ sQ2_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f5999]) ).
fof(f6005,plain,
( ~ sQ33_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f3268,f1043,f1030]) ).
fof(f6064,plain,
( ~ sQ26_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f2938,f1059,f1007]) ).
fof(f6091,plain,
( ~ sQ54_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f2946,f1085,f1098]) ).
fof(f6124,plain,
( ~ sQ37_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f3539,f1095,f1043]) ).
fof(f6145,plain,
( ~ sQ53_spl
| ~ sQ54_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f1099,f1096]) ).
fof(f6146,plain,
( ~ sQ53_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6145,f129]) ).
fof(f6147,plain,
( ~ sQ53_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f6146]) ).
fof(f6226,plain,
( ~ sQ41_spl
| ~ sQ42_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f1060,f1057]) ).
fof(f6227,plain,
( ~ sQ41_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6226,f129]) ).
fof(f6228,plain,
( ~ sQ41_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f6227]) ).
fof(f6233,plain,
( ~ sQ0_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f5198,f1027,f923]) ).
fof(f6249,plain,
( ~ sQ24_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f2438,f1014,f1001]) ).
fof(f6386,plain,
( ~ sQ18_spl
| ~ sQ17_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f979,f982]) ).
fof(f6387,plain,
( ~ sQ18_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6386,f129]) ).
fof(f6388,plain,
( ~ sQ18_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f6387]) ).
fof(f6400,plain,
( ~ sQ58_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f4177,f1098,f1111]) ).
fof(f6402,plain,
( ~ sQ58_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f4182,f955,f1111]) ).
fof(f6479,plain,
( ~ sQ25_spl
| op(e0,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f1005,f90]) ).
fof(f6506,plain,
( ~ sQ58_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f2143,f1059,f1111]) ).
fof(f6571,plain,
( ~ sQ27_spl
| ~ sQ25_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f1005,f1011]) ).
fof(f6572,plain,
( ~ sQ27_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6571,f130]) ).
fof(f6573,plain,
( ~ sQ27_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f6572]) ).
fof(f6579,plain,
( ~ sQ25_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f6479,f952,f1004]) ).
fof(f6614,plain,
( ~ sQ61_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f4775,f1095,f1121]) ).
fof(f6641,plain,
( sQ67_spl
| ~ sQ41_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f5782,f1049,f1056,f1183]) ).
fof(f6652,plain,
( ~ sQ15_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f3123,f1127,f971]) ).
fof(f6664,plain,
( ~ sQ27_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f3973,f984,f1010]) ).
fof(f6761,plain,
$false,
inference(sat_refutation,[status(thm)],[f935,f948,f961,f974,f987,f1000,f1013,f1026,f1039,f1052,f1065,f1078,f1091,f1104,f1117,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f1138,f1139,f1140,f1141,f1142,f1143,f1144,f1145,f1146,f1147,f1148,f1149,f1150,f1151,f1152,f1153,f1154,f1155,f1156,f1157,f1158,f1159,f1160,f1161,f1162,f1166,f1167,f1168,f1169,f1174,f1176,f1177,f1179,f1186,f1193,f1200,f1204,f1208,f1212,f1216,f1220,f1227,f1231,f1235,f1239,f1243,f1251,f1252,f1256,f1264,f1268,f1272,f1273,f1274,f1275,f1279,f1283,f1287,f1289,f1290,f1298,f1299,f1303,f1307,f1308,f1310,f1318,f1322,f1327,f1328,f1329,f1334,f1335,f1336,f1337,f1338,f1339,f1343,f1344,f1348,f1352,f1353,f1355,f1360,f1361,f1362,f1363,f1364,f1365,f1369,f1377,f1378,f1379,f1380,f1385,f1386,f1387,f1389,f1390,f1394,f1395,f1399,f1403,f1404,f1406,f1411,f1412,f1413,f1414,f1415,f1420,f1424,f1428,f1429,f1431,f1437,f1438,f1439,f1440,f1441,f1445,f1446,f1450,f1454,f1456,f1457,f1458,f1462,f1463,f1465,f1466,f1467,f1471,f1475,f1479,f1481,f1482,f1485,f1486,f1487,f1488,f1489,f1490,f1491,f1492,f1496,f1501,f1505,f1506,f1508,f1513,f1514,f1515,f1516,f1517,f1518,f1522,f1526,f1531,f1532,f1533,f1538,f1539,f1540,f1541,f1542,f1543,f1547,f1548,f1552,f1556,f1558,f1559,f1561,f1563,f1564,f1565,f1566,f1567,f1568,f1569,f1573,f1581,f1582,f1583,f1584,f1587,f1589,f1590,f1591,f1593,f1594,f1598,f1599,f1603,f1607,f1608,f1609,f1610,f1614,f1615,f1616,f1617,f1618,f1619,f1624,f1628,f1632,f1633,f1635,f1636,f1637,f1638,f1641,f1642,f1643,f1644,f1645,f1649,f1650,f1654,f1659,f1660,f1661,f1662,f1664,f1666,f1667,f1669,f1670,f1671,f1675,f1679,f1683,f1685,f1686,f1688,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1700,f1701,f1705,f1710,f1711,f1712,f1714,f1717,f1718,f1719,f1721,f1722,f1726,f1730,f1735,f1736,f1737,f1738,f1742,f1743,f1744,f1745,f1746,f1747,f1751,f1756,f1760,f1761,f1762,f1763,f1768,f1769,f1770,f1771,f1772,f1773,f1777,f1785,f1786,f1787,f1788,f1789,f1790,f1791,f1793,f1794,f1795,f1797,f1798,f1802,f1803,f1807,f1812,f1813,f1814,f1815,f1817,f1819,f1820,f1821,f1822,f1823,f1828,f1832,f1836,f1837,f1839,f1840,f1841,f1842,f1845,f1846,f1847,f1848,f1849,f1853,f1854,f1858,f1862,f1863,f1864,f1865,f1868,f1870,f1871,f1873,f1874,f1875,f1879,f1883,f1887,f1889,f1890,f1891,f1893,f1894,f1895,f1896,f1897,f1898,f1899,f1900,f1904,f1905,f1909,f1913,f1914,f1915,f1916,f1917,f1918,f1921,f1922,f1923,f1924,f1925,f1926,f1930,f1934,f1938,f1939,f1940,f1941,f1942,f1944,f1946,f1947,f1948,f1949,f1950,f1951,f1955,f1956,f1964,f1965,f1966,f1967,f1969,f1970,f1972,f1973,f1974,f1975,f1976,f1977,f1978,f1986,f1987,f1988,f1989,f1990,f1991,f1993,f1994,f1995,f1997,f1998,f1999,f2004,f2008,f2009,f2010,f2015,f2016,f2017,f2018,f2019,f2022,f2023,f2024,f2025,f2026,f2027,f2028,f2030,f2031,f2032,f2047,f2072,f2079,f2082,f2085,f2088,f2091,f2102,f2105,f2108,f2111,f2116,f2123,f2136,f2182,f2184,f2195,f2208,f2212,f2218,f2221,f2231,f2233,f2267,f2272,f2277,f2280,f2297,f2300,f2305,f2315,f2316,f2317,f2318,f2328,f2329,f2342,f2343,f2355,f2395,f2401,f2418,f2421,f2422,f2425,f2427,f2428,f2436,f2466,f2467,f2474,f2485,f2509,f2511,f2534,f2540,f2546,f2559,f2567,f2568,f2570,f2571,f2574,f2577,f2585,f2586,f2596,f2597,f2617,f2641,f2657,f2661,f2668,f2687,f2692,f2693,f2698,f2716,f2718,f2719,f2725,f2726,f2738,f2742,f2770,f2771,f2772,f2790,f2796,f2797,f2812,f2848,f2852,f2856,f2863,f2874,f2877,f2884,f2902,f2904,f2923,f2924,f2943,f2944,f2980,f2982,f2986,f3005,f3024,f3032,f3048,f3051,f3054,f3058,f3090,f3147,f3159,f3162,f3165,f3188,f3204,f3205,f3228,f3234,f3243,f3244,f3245,f3250,f3251,f3284,f3306,f3312,f3324,f3336,f3349,f3350,f3358,f3361,f3381,f3389,f3418,f3427,f3428,f3433,f3436,f3447,f3525,f3530,f3531,f3543,f3622,f3627,f3628,f3639,f3657,f3660,f3662,f3673,f3680,f3689,f3715,f3740,f3753,f3758,f3766,f3794,f3796,f3837,f3859,f3872,f3898,f3913,f3914,f3934,f3965,f3971,f3982,f3995,f4005,f4057,f4118,f4131,f4142,f4159,f4184,f4282,f4309,f4312,f4315,f4319,f4328,f4351,f4380,f4381,f4407,f4430,f4445,f4450,f4478,f4504,f4512,f4551,f4611,f4657,f4676,f4730,f4731,f4828,f4838,f4872,f4885,f4913,f4918,f4950,f4976,f4980,f5037,f5049,f5172,f5175,f5186,f5206,f5280,f5287,f5327,f5330,f5356,f5456,f5536,f5538,f5545,f5586,f5625,f5710,f5715,f5763,f5801,f5812,f5874,f5875,f5898,f5962,f6000,f6005,f6064,f6091,f6124,f6147,f6228,f6233,f6249,f6388,f6400,f6402,f6506,f6573,f6579,f6614,f6641,f6652,f6664]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG153+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n013.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 12:58:45 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.39 % Drodi V4.1.1
% 3.84/0.99 % Refutation found
% 3.84/0.99 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.84/0.99 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.40/1.02 % Elapsed time: 0.646907 seconds
% 0.40/1.02 % CPU time: 4.614826 seconds
% 0.40/1.02 % Total memory used: 71.133 MB
% 0.40/1.02 % Net memory used: 70.139 MB
%------------------------------------------------------------------------------