%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG154+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 125.57s 16.31s
% Output : CNFRefutation 125.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 277
% Syntax : Number of formulae : 2117 ( 55 unt; 248 def)
% Number of atoms : 15059 (10925 equ)
% Maximal formula atoms : 304 ( 7 avg)
% Number of connectives : 20503 (7561 ~;5580 |;7047 &)
% ( 315 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 69 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 250 ( 248 usr; 249 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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( e2 != e3
& e1 != e3
& e1 != e2
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( ( ( ( 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,op(e3,e3)) = e3
& op(e3,op(e3,e2)) = e2
& op(e3,op(e3,e1)) = e1
& op(e3,op(e3,e0)) = e0 )
| ( ( 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,op(e2,e3)) = e3
& op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e1)) = e1
& op(e2,op(e2,e0)) = e0 )
| ( ( 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,op(e1,e3)) = e3
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e0)) = e0 )
| ( ( 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,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0 ) )
& ( ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e3,e3) != e3
& op(e3,e3) = e3 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e3,e3) != e3
& op(e3,e3) = e3 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e3,e3) != e3
& op(e3,e3) = e3 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e3,e3) != e3
& op(e3,e3) = e3 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
~ ( e3 = op(e0,e0)
& e2 = op(op(e0,e0),e0)
& e1 = op(op(e0,e0),op(e0,e0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
~ ( e2 = op(e0,e0)
& e3 = op(op(e0,e0),e0)
& e1 = op(op(e0,e0),op(e0,e0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
~ ( e3 = op(e0,e0)
& e1 = op(op(e0,e0),e0)
& e2 = op(op(e0,e0),op(e0,e0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
~ ( e1 = op(e0,e0)
& e3 = op(op(e0,e0),e0)
& e2 = op(op(e0,e0),op(e0,e0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
~ ( e2 = op(e0,e0)
& e1 = op(op(e0,e0),e0)
& e3 = op(op(e0,e0),op(e0,e0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
~ ( e1 = op(e0,e0)
& e2 = op(op(e0,e0),e0)
& e3 = op(op(e0,e0),op(e0,e0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
~ ( e3 = op(e1,e1)
& e2 = op(op(e1,e1),e1)
& e0 = op(op(e1,e1),op(e1,e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
~ ( e2 = op(e1,e1)
& e3 = op(op(e1,e1),e1)
& e0 = op(op(e1,e1),op(e1,e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
~ ( e3 = op(e1,e1)
& e0 = op(op(e1,e1),e1)
& e2 = op(op(e1,e1),op(e1,e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
~ ( e0 = op(e1,e1)
& e3 = op(op(e1,e1),e1)
& e2 = op(op(e1,e1),op(e1,e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
~ ( e2 = op(e1,e1)
& e0 = op(op(e1,e1),e1)
& e3 = op(op(e1,e1),op(e1,e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
~ ( e0 = op(e1,e1)
& e2 = op(op(e1,e1),e1)
& e3 = op(op(e1,e1),op(e1,e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
~ ( e3 = op(e2,e2)
& e1 = op(op(e2,e2),e2)
& e0 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
~ ( e1 = op(e2,e2)
& e3 = op(op(e2,e2),e2)
& e0 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
~ ( e3 = op(e2,e2)
& e0 = op(op(e2,e2),e2)
& e1 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
~ ( e0 = op(e2,e2)
& e3 = op(op(e2,e2),e2)
& e1 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
~ ( e1 = op(e2,e2)
& e0 = op(op(e2,e2),e2)
& e3 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
~ ( e0 = op(e2,e2)
& e1 = op(op(e2,e2),e2)
& e3 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
~ ( e2 = op(e3,e3)
& e1 = op(op(e3,e3),e3)
& e0 = op(op(e3,e3),op(e3,e3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
~ ( e1 = op(e3,e3)
& e2 = op(op(e3,e3),e3)
& e0 = op(op(e3,e3),op(e3,e3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
~ ( e2 = op(e3,e3)
& e0 = op(op(e3,e3),e3)
& e1 = op(op(e3,e3),op(e3,e3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
~ ( e0 = op(e3,e3)
& e2 = op(op(e3,e3),e3)
& e1 = op(op(e3,e3),op(e3,e3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
~ ( e1 = op(e3,e3)
& e0 = op(op(e3,e3),e3)
& e2 = op(op(e3,e3),op(e3,e3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
~ ( e0 = op(e3,e3)
& e1 = op(op(e3,e3),e3)
& e2 = op(op(e3,e3),op(e3,e3)) ),
file('/export/starexec/sandbox/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(e1,e0) != op(e0,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f79,plain,
op(e2,e0) != op(e0,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(e2,e0) != op(e1,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(e2,e2) != op(e0,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(e2,e2) != op(e1,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(e3,e3) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f99,plain,
op(e2,e3) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f100,plain,
op(e3,e3) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f101,plain,
op(e3,e3) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f102,plain,
op(e0,e1) != op(e0,e0),
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,e3) != op(e0,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f105,plain,
op(e0,e2) != op(e0,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f106,plain,
op(e0,e3) != op(e0,e1),
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,e1) != op(e1,e0),
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,e3) != op(e1,e0),
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,e3) != op(e1,e1),
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,e2) != op(e2,e0),
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,e2) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f118,plain,
op(e2,e3) != op(e2,e1),
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,e3) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f123,plain,
op(e3,e2) != op(e3,e1),
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,e3) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f126,plain,
e1 != e0,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f127,plain,
e2 != e0,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f128,plain,
e0 != e3,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f129,plain,
e2 != e1,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f130,plain,
e3 != e1,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f131,plain,
e3 != e2,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f132,definition,
( sP0_prd
<=> ( ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e3,e3) != e3
& op(e3,e3) = e3 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e3,e3) != e3
& op(e3,e3) = e3 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e3,e3) != e3
& op(e3,e3) = e3 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f133,definition,
( sP1_prd
<=> ( ( ( op(e3,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,op(e2,e3)) = e3
& op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e1)) = e1
& op(e2,op(e2,e0)) = e0 )
| ( ( 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,op(e1,e3)) = e3
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e0)) = e0 )
| ( ( 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,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f134,plain,
( ( ( ( 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,op(e3,e3)) = e3
& op(e3,op(e3,e2)) = e2
& op(e3,op(e3,e1)) = e1
& op(e3,op(e3,e0)) = e0 )
| sP1_prd )
& ( ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e3,e3) != e3
& op(e3,e3) = e3 )
| sP0_prd ) ),
inference(formula_renaming,[status(thm)],[f5,f133,f132]) ).
fof(f135,plain,
( op(e3,e3) = e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f136,plain,
( op(e3,e3) != e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f139,plain,
( op(e3,op(e3,e0)) = e0
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f140,plain,
( op(e3,op(e3,e1)) = e1
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f141,plain,
( op(e3,op(e3,e2)) = e2
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f142,plain,
( op(e3,op(e3,e3)) = e3
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f143,plain,
( op(e0,e3) = e0
| op(e0,e0) != e3
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f144,plain,
( op(e1,e3) = e1
| op(e1,e1) != e3
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f145,plain,
( op(e2,e3) = e2
| op(e2,e2) != e3
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f147,plain,
( e3 != op(e0,e0)
| e2 != op(op(e0,e0),e0)
| e1 != op(op(e0,e0),op(e0,e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f148,plain,
( e3 != op(e0,e0)
| e2 != op(op(e0,e0),e0)
| e1 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[status(thm)],[f147]) ).
fof(f149,plain,
( e2 != op(e0,e0)
| e3 != op(op(e0,e0),e0)
| e1 != op(op(e0,e0),op(e0,e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f150,plain,
( e2 != op(e0,e0)
| e3 != op(op(e0,e0),e0)
| e1 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[status(thm)],[f149]) ).
fof(f151,plain,
( e3 != op(e0,e0)
| e1 != op(op(e0,e0),e0)
| e2 != op(op(e0,e0),op(e0,e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f152,plain,
( e3 != op(e0,e0)
| e1 != op(op(e0,e0),e0)
| e2 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[status(thm)],[f151]) ).
fof(f153,plain,
( e1 != op(e0,e0)
| e3 != op(op(e0,e0),e0)
| e2 != op(op(e0,e0),op(e0,e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f154,plain,
( e1 != op(e0,e0)
| e3 != op(op(e0,e0),e0)
| e2 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[status(thm)],[f153]) ).
fof(f155,plain,
( e2 != op(e0,e0)
| e1 != op(op(e0,e0),e0)
| e3 != op(op(e0,e0),op(e0,e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f156,plain,
( e2 != op(e0,e0)
| e1 != op(op(e0,e0),e0)
| e3 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[status(thm)],[f155]) ).
fof(f157,plain,
( e1 != op(e0,e0)
| e2 != op(op(e0,e0),e0)
| e3 != op(op(e0,e0),op(e0,e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f11]) ).
fof(f158,plain,
( e1 != op(e0,e0)
| e2 != op(op(e0,e0),e0)
| e3 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[status(thm)],[f157]) ).
fof(f159,plain,
( e3 != op(e1,e1)
| e2 != op(op(e1,e1),e1)
| e0 != op(op(e1,e1),op(e1,e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f160,plain,
( e3 != op(e1,e1)
| e2 != op(op(e1,e1),e1)
| e0 != op(op(e1,e1),op(e1,e1)) ),
inference(cnf_transformation,[status(thm)],[f159]) ).
fof(f161,plain,
( e2 != op(e1,e1)
| e3 != op(op(e1,e1),e1)
| e0 != op(op(e1,e1),op(e1,e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f162,plain,
( e2 != op(e1,e1)
| e3 != op(op(e1,e1),e1)
| e0 != op(op(e1,e1),op(e1,e1)) ),
inference(cnf_transformation,[status(thm)],[f161]) ).
fof(f163,plain,
( e3 != op(e1,e1)
| e0 != op(op(e1,e1),e1)
| e2 != op(op(e1,e1),op(e1,e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f14]) ).
fof(f164,plain,
( e3 != op(e1,e1)
| e0 != op(op(e1,e1),e1)
| e2 != op(op(e1,e1),op(e1,e1)) ),
inference(cnf_transformation,[status(thm)],[f163]) ).
fof(f165,plain,
( e0 != op(e1,e1)
| e3 != op(op(e1,e1),e1)
| e2 != op(op(e1,e1),op(e1,e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f166,plain,
( e0 != op(e1,e1)
| e3 != op(op(e1,e1),e1)
| e2 != op(op(e1,e1),op(e1,e1)) ),
inference(cnf_transformation,[status(thm)],[f165]) ).
fof(f167,plain,
( e2 != op(e1,e1)
| e0 != op(op(e1,e1),e1)
| e3 != op(op(e1,e1),op(e1,e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f16]) ).
fof(f168,plain,
( e2 != op(e1,e1)
| e0 != op(op(e1,e1),e1)
| e3 != op(op(e1,e1),op(e1,e1)) ),
inference(cnf_transformation,[status(thm)],[f167]) ).
fof(f169,plain,
( e0 != op(e1,e1)
| e2 != op(op(e1,e1),e1)
| e3 != op(op(e1,e1),op(e1,e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f17]) ).
fof(f170,plain,
( e0 != op(e1,e1)
| e2 != op(op(e1,e1),e1)
| e3 != op(op(e1,e1),op(e1,e1)) ),
inference(cnf_transformation,[status(thm)],[f169]) ).
fof(f171,plain,
( e3 != op(e2,e2)
| e1 != op(op(e2,e2),e2)
| e0 != op(op(e2,e2),op(e2,e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f172,plain,
( e3 != op(e2,e2)
| e1 != op(op(e2,e2),e2)
| e0 != op(op(e2,e2),op(e2,e2)) ),
inference(cnf_transformation,[status(thm)],[f171]) ).
fof(f173,plain,
( e1 != op(e2,e2)
| e3 != op(op(e2,e2),e2)
| e0 != op(op(e2,e2),op(e2,e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f19]) ).
fof(f174,plain,
( e1 != op(e2,e2)
| e3 != op(op(e2,e2),e2)
| e0 != op(op(e2,e2),op(e2,e2)) ),
inference(cnf_transformation,[status(thm)],[f173]) ).
fof(f175,plain,
( e3 != op(e2,e2)
| e0 != op(op(e2,e2),e2)
| e1 != op(op(e2,e2),op(e2,e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f20]) ).
fof(f176,plain,
( e3 != op(e2,e2)
| e0 != op(op(e2,e2),e2)
| e1 != op(op(e2,e2),op(e2,e2)) ),
inference(cnf_transformation,[status(thm)],[f175]) ).
fof(f177,plain,
( e0 != op(e2,e2)
| e3 != op(op(e2,e2),e2)
| e1 != op(op(e2,e2),op(e2,e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f21]) ).
fof(f178,plain,
( e0 != op(e2,e2)
| e3 != op(op(e2,e2),e2)
| e1 != op(op(e2,e2),op(e2,e2)) ),
inference(cnf_transformation,[status(thm)],[f177]) ).
fof(f179,plain,
( e1 != op(e2,e2)
| e0 != op(op(e2,e2),e2)
| e3 != op(op(e2,e2),op(e2,e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f22]) ).
fof(f180,plain,
( e1 != op(e2,e2)
| e0 != op(op(e2,e2),e2)
| e3 != op(op(e2,e2),op(e2,e2)) ),
inference(cnf_transformation,[status(thm)],[f179]) ).
fof(f181,plain,
( e0 != op(e2,e2)
| e1 != op(op(e2,e2),e2)
| e3 != op(op(e2,e2),op(e2,e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f23]) ).
fof(f182,plain,
( e0 != op(e2,e2)
| e1 != op(op(e2,e2),e2)
| e3 != op(op(e2,e2),op(e2,e2)) ),
inference(cnf_transformation,[status(thm)],[f181]) ).
fof(f183,plain,
( e2 != op(e3,e3)
| e1 != op(op(e3,e3),e3)
| e0 != op(op(e3,e3),op(e3,e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f24]) ).
fof(f184,plain,
( e2 != op(e3,e3)
| e1 != op(op(e3,e3),e3)
| e0 != op(op(e3,e3),op(e3,e3)) ),
inference(cnf_transformation,[status(thm)],[f183]) ).
fof(f185,plain,
( e1 != op(e3,e3)
| e2 != op(op(e3,e3),e3)
| e0 != op(op(e3,e3),op(e3,e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f25]) ).
fof(f186,plain,
( e1 != op(e3,e3)
| e2 != op(op(e3,e3),e3)
| e0 != op(op(e3,e3),op(e3,e3)) ),
inference(cnf_transformation,[status(thm)],[f185]) ).
fof(f187,plain,
( e2 != op(e3,e3)
| e0 != op(op(e3,e3),e3)
| e1 != op(op(e3,e3),op(e3,e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f26]) ).
fof(f188,plain,
( e2 != op(e3,e3)
| e0 != op(op(e3,e3),e3)
| e1 != op(op(e3,e3),op(e3,e3)) ),
inference(cnf_transformation,[status(thm)],[f187]) ).
fof(f189,plain,
( e0 != op(e3,e3)
| e2 != op(op(e3,e3),e3)
| e1 != op(op(e3,e3),op(e3,e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f27]) ).
fof(f190,plain,
( e0 != op(e3,e3)
| e2 != op(op(e3,e3),e3)
| e1 != op(op(e3,e3),op(e3,e3)) ),
inference(cnf_transformation,[status(thm)],[f189]) ).
fof(f191,plain,
( e1 != op(e3,e3)
| e0 != op(op(e3,e3),e3)
| e2 != op(op(e3,e3),op(e3,e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f28]) ).
fof(f192,plain,
( e1 != op(e3,e3)
| e0 != op(op(e3,e3),e3)
| e2 != op(op(e3,e3),op(e3,e3)) ),
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f193,plain,
( e0 != op(e3,e3)
| e1 != op(op(e3,e3),e3)
| e2 != op(op(e3,e3),op(e3,e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f29]) ).
fof(f194,plain,
( e0 != op(e3,e3)
| e1 != op(op(e3,e3),e3)
| e2 != op(op(e3,e3),op(e3,e3)) ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f195,definition,
( sP2_prd
<=> ( ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e3,e3) != e3
& op(e3,e3) = e3 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e3,e3) != e3
& op(e3,e3) = e3 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f196,plain,
( sP0_prd
<=> ( ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e3,e3) != e3
& op(e3,e3) = e3 )
| sP2_prd ) ),
inference(formula_renaming,[status(thm)],[f132,f195]) ).
fof(f197,plain,
( ( ( ( op(e2,e3) = e2
| op(e2,e2) != e3
| op(e3,e3) = e3
| op(e3,e3) != e3 )
& ~ sP2_prd )
| sP0_prd )
& ( ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e3,e3) != e3
& op(e3,e3) = e3 )
| sP2_prd
| ~ sP0_prd ) ),
inference(NNF_transformation,[status(thm)],[f196]) ).
fof(f198,plain,
( op(e3,e3) = e3
| sP2_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f199,plain,
( op(e3,e3) != e3
| sP2_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f202,plain,
( ~ sP2_prd
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f204,definition,
( sP3_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,op(e1,e3)) = e3
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e0)) = e0 )
| ( ( 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,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f205,plain,
( sP1_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,op(e2,e3)) = e3
& op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e1)) = e1
& op(e2,op(e2,e0)) = e0 )
| sP3_prd ) ),
inference(formula_renaming,[status(thm)],[f133,f204]) ).
fof(f206,definition,
( sP4_prd
<=> ( op(e0,e2) = e0
| op(e0,e0) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f207,definition,
( sP5_prd
<=> ( op(e1,e2) = e1
| op(e1,e1) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f208,plain,
( sP1_prd
<=> ( ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& sP5_prd
& sP4_prd
& op(e2,op(e2,e3)) = e3
& op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e1)) = e1
& op(e2,op(e2,e0)) = e0 )
| sP3_prd ) ),
inference(formula_renaming,[status(thm)],[f205,f207,f206]) ).
fof(f209,plain,
( ( ( ( ( op(e3,e2) != e3
& op(e3,e3) = e2 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2 )
| ~ sP5_prd
| ~ sP4_prd
| op(e2,op(e2,e3)) != e3
| op(e2,op(e2,e2)) != e2
| op(e2,op(e2,e1)) != e1
| op(e2,op(e2,e0)) != e0 )
& ~ sP3_prd )
| sP1_prd )
& ( ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& sP5_prd
& sP4_prd
& op(e2,op(e2,e3)) = e3
& op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e1)) = e1
& op(e2,op(e2,e0)) = e0 )
| sP3_prd
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f208]) ).
fof(f210,plain,
( op(e2,op(e2,e0)) = e0
| sP3_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f209]) ).
fof(f211,plain,
( op(e2,op(e2,e1)) = e1
| sP3_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f209]) ).
fof(f212,plain,
( op(e2,op(e2,e2)) = e2
| sP3_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f209]) ).
fof(f213,plain,
( op(e2,op(e2,e3)) = e3
| sP3_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f209]) ).
fof(f214,plain,
( sP4_prd
| sP3_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f209]) ).
fof(f215,plain,
( sP5_prd
| sP3_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f209]) ).
fof(f217,plain,
( op(e3,e2) = e3
| op(e3,e3) != e2
| sP3_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f209]) ).
fof(f218,plain,
( ~ sP3_prd
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f209]) ).
fof(f223,definition,
( sP6_prd
<=> ( ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e3,e3) != e3
& op(e3,e3) = e3 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f224,plain,
( sP2_prd
<=> ( ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e3,e3) != e3
& op(e3,e3) = e3 )
| sP6_prd ) ),
inference(formula_renaming,[status(thm)],[f195,f223]) ).
fof(f225,plain,
( ( ( ( op(e1,e3) = e1
| op(e1,e1) != e3
| op(e3,e3) = e3
| op(e3,e3) != e3 )
& ~ sP6_prd )
| sP2_prd )
& ( ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e3,e3) != e3
& op(e3,e3) = e3 )
| sP6_prd
| ~ sP2_prd ) ),
inference(NNF_transformation,[status(thm)],[f224]) ).
fof(f226,plain,
( op(e3,e3) = e3
| sP6_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f225]) ).
fof(f227,plain,
( op(e3,e3) != e3
| sP6_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f225]) ).
fof(f230,plain,
( ~ sP6_prd
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f225]) ).
fof(f232,definition,
( sP7_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,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0 ) ),
introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).
fof(f233,plain,
( sP3_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,op(e1,e3)) = e3
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e0)) = e0 )
| sP7_prd ) ),
inference(formula_renaming,[status(thm)],[f204,f232]) ).
fof(f234,definition,
( sP8_prd
<=> ( op(e0,e1) = e0
| op(e0,e0) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP8_prd])],[]) ).
fof(f235,definition,
( sP9_prd
<=> ( op(e1,e1) = e1
| op(e1,e1) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP9_prd])],[]) ).
fof(f236,plain,
( sP3_prd
<=> ( ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& sP9_prd
& sP8_prd
& op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e0)) = e0 )
| sP7_prd ) ),
inference(formula_renaming,[status(thm)],[f233,f235,f234]) ).
fof(f237,plain,
( ( ( ( ( op(e3,e1) != e3
& op(e3,e3) = e1 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1 )
| ~ sP9_prd
| ~ sP8_prd
| op(e1,op(e1,e3)) != e3
| op(e1,op(e1,e2)) != e2
| op(e1,op(e1,e1)) != e1
| op(e1,op(e1,e0)) != e0 )
& ~ sP7_prd )
| sP3_prd )
& ( ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& sP9_prd
& sP8_prd
& op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e0)) = e0 )
| sP7_prd
| ~ sP3_prd ) ),
inference(NNF_transformation,[status(thm)],[f236]) ).
fof(f238,plain,
( op(e1,op(e1,e0)) = e0
| sP7_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f237]) ).
fof(f239,plain,
( op(e1,op(e1,e1)) = e1
| sP7_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f237]) ).
fof(f240,plain,
( op(e1,op(e1,e2)) = e2
| sP7_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f237]) ).
fof(f241,plain,
( op(e1,op(e1,e3)) = e3
| sP7_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f237]) ).
fof(f242,plain,
( sP8_prd
| sP7_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f237]) ).
fof(f243,plain,
( sP9_prd
| sP7_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f237]) ).
fof(f244,plain,
( op(e2,e1) = e2
| op(e2,e2) != e1
| sP7_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f237]) ).
fof(f245,plain,
( op(e3,e1) = e3
| op(e3,e3) != e1
| sP7_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f237]) ).
fof(f246,plain,
( ~ sP7_prd
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f237]) ).
fof(f251,plain,
( ( ( op(e0,e2) != e0
& op(e0,e0) = e2 )
| sP4_prd )
& ( op(e0,e2) = e0
| op(e0,e0) != e2
| ~ sP4_prd ) ),
inference(NNF_transformation,[status(thm)],[f206]) ).
fof(f252,plain,
( op(e0,e2) = e0
| op(e0,e0) != e2
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f251]) ).
fof(f253,plain,
( op(e0,e0) = e2
| sP4_prd ),
inference(cnf_transformation,[status(thm)],[f251]) ).
fof(f254,plain,
( op(e0,e2) != e0
| sP4_prd ),
inference(cnf_transformation,[status(thm)],[f251]) ).
fof(f255,plain,
( ( ( op(e1,e2) != e1
& op(e1,e1) = e2 )
| sP5_prd )
& ( op(e1,e2) = e1
| op(e1,e1) != e2
| ~ sP5_prd ) ),
inference(NNF_transformation,[status(thm)],[f207]) ).
fof(f256,plain,
( op(e1,e2) = e1
| op(e1,e1) != e2
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f255]) ).
fof(f257,plain,
( op(e1,e1) = e2
| sP5_prd ),
inference(cnf_transformation,[status(thm)],[f255]) ).
fof(f258,plain,
( op(e1,e2) != e1
| sP5_prd ),
inference(cnf_transformation,[status(thm)],[f255]) ).
fof(f259,definition,
( sP10_prd
<=> ( ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP10_prd])],[]) ).
fof(f260,plain,
( sP6_prd
<=> ( ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e3,e3) != e3
& op(e3,e3) = e3 )
| sP10_prd ) ),
inference(formula_renaming,[status(thm)],[f223,f259]) ).
fof(f261,plain,
( ( ( ( op(e0,e3) = e0
| op(e0,e0) != e3
| op(e3,e3) = e3
| op(e3,e3) != e3 )
& ~ sP10_prd )
| sP6_prd )
& ( ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e3,e3) != e3
& op(e3,e3) = e3 )
| sP10_prd
| ~ sP6_prd ) ),
inference(NNF_transformation,[status(thm)],[f260]) ).
fof(f262,plain,
( op(e3,e3) = e3
| sP10_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f261]) ).
fof(f263,plain,
( op(e3,e3) != e3
| sP10_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f261]) ).
fof(f264,plain,
( op(e0,e0) = e3
| sP10_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f261]) ).
fof(f266,plain,
( ~ sP10_prd
| sP6_prd ),
inference(cnf_transformation,[status(thm)],[f261]) ).
fof(f268,definition,
( sP11_prd
<=> ( op(e0,e0) = e0
| op(e0,e0) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP11_prd])],[]) ).
fof(f269,definition,
( sP12_prd
<=> ( op(e1,e0) = e1
| op(e1,e1) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP12_prd])],[]) ).
fof(f270,plain,
( sP7_prd
<=> ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& sP12_prd
& sP11_prd
& op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0 ) ),
inference(formula_renaming,[status(thm)],[f232,f269,f268]) ).
fof(f271,plain,
( ( ( op(e3,e0) != e3
& op(e3,e3) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0 )
| ~ sP12_prd
| ~ sP11_prd
| op(e0,op(e0,e3)) != e3
| op(e0,op(e0,e2)) != e2
| op(e0,op(e0,e1)) != e1
| op(e0,op(e0,e0)) != e0
| sP7_prd )
& ( ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& sP12_prd
& sP11_prd
& op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0 )
| ~ sP7_prd ) ),
inference(NNF_transformation,[status(thm)],[f270]) ).
fof(f272,plain,
( op(e0,op(e0,e0)) = e0
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f271]) ).
fof(f273,plain,
( op(e0,op(e0,e1)) = e1
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f271]) ).
fof(f274,plain,
( op(e0,op(e0,e2)) = e2
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f271]) ).
fof(f275,plain,
( op(e0,op(e0,e3)) = e3
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f271]) ).
fof(f276,plain,
( sP11_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f271]) ).
fof(f277,plain,
( sP12_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f271]) ).
fof(f278,plain,
( op(e2,e0) = e2
| op(e2,e2) != e0
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f271]) ).
fof(f279,plain,
( op(e3,e0) = e3
| op(e3,e3) != e0
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f271]) ).
fof(f284,plain,
( ( ( op(e0,e1) != e0
& op(e0,e0) = e1 )
| sP8_prd )
& ( op(e0,e1) = e0
| op(e0,e0) != e1
| ~ sP8_prd ) ),
inference(NNF_transformation,[status(thm)],[f234]) ).
fof(f285,plain,
( op(e0,e1) = e0
| op(e0,e0) != e1
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f284]) ).
fof(f286,plain,
( op(e0,e0) = e1
| sP8_prd ),
inference(cnf_transformation,[status(thm)],[f284]) ).
fof(f287,plain,
( op(e0,e1) != e0
| sP8_prd ),
inference(cnf_transformation,[status(thm)],[f284]) ).
fof(f288,plain,
( ( ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| sP9_prd )
& ( op(e1,e1) = e1
| op(e1,e1) != e1
| ~ sP9_prd ) ),
inference(NNF_transformation,[status(thm)],[f235]) ).
fof(f290,plain,
( op(e1,e1) = e1
| sP9_prd ),
inference(cnf_transformation,[status(thm)],[f288]) ).
fof(f291,plain,
( op(e1,e1) != e1
| sP9_prd ),
inference(cnf_transformation,[status(thm)],[f288]) ).
fof(f292,definition,
( sP13_prd
<=> ( ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP13_prd])],[]) ).
fof(f293,plain,
( sP10_prd
<=> ( ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| sP13_prd ) ),
inference(formula_renaming,[status(thm)],[f259,f292]) ).
fof(f294,plain,
( ( ( ( op(e3,e2) = e3
| op(e3,e3) != e2
| op(e3,e3) = e2
| op(e3,e2) != e3 )
& ~ sP13_prd )
| sP10_prd )
& ( ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| sP13_prd
| ~ sP10_prd ) ),
inference(NNF_transformation,[status(thm)],[f293]) ).
fof(f295,plain,
( op(e3,e2) = e3
| sP13_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f294]) ).
fof(f298,plain,
( op(e3,e2) != e3
| sP13_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f294]) ).
fof(f299,plain,
( ~ sP13_prd
| sP10_prd ),
inference(cnf_transformation,[status(thm)],[f294]) ).
fof(f301,plain,
( ( ( op(e0,e0) != e0
& op(e0,e0) = e0 )
| sP11_prd )
& ( op(e0,e0) = e0
| op(e0,e0) != e0
| ~ sP11_prd ) ),
inference(NNF_transformation,[status(thm)],[f268]) ).
fof(f303,plain,
( op(e0,e0) = e0
| sP11_prd ),
inference(cnf_transformation,[status(thm)],[f301]) ).
fof(f304,plain,
( op(e0,e0) != e0
| sP11_prd ),
inference(cnf_transformation,[status(thm)],[f301]) ).
fof(f305,plain,
( ( ( op(e1,e0) != e1
& op(e1,e1) = e0 )
| sP12_prd )
& ( op(e1,e0) = e1
| op(e1,e1) != e0
| ~ sP12_prd ) ),
inference(NNF_transformation,[status(thm)],[f269]) ).
fof(f306,plain,
( op(e1,e0) = e1
| op(e1,e1) != e0
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f305]) ).
fof(f307,plain,
( op(e1,e1) = e0
| sP12_prd ),
inference(cnf_transformation,[status(thm)],[f305]) ).
fof(f308,plain,
( op(e1,e0) != e1
| sP12_prd ),
inference(cnf_transformation,[status(thm)],[f305]) ).
fof(f309,definition,
( sP14_prd
<=> ( ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP14_prd])],[]) ).
fof(f310,plain,
( sP13_prd
<=> ( ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| sP14_prd ) ),
inference(formula_renaming,[status(thm)],[f292,f309]) ).
fof(f311,plain,
( ( ( ( op(e2,e2) = e2
| op(e2,e2) != e2
| op(e3,e3) = e2
| op(e3,e2) != e3 )
& ~ sP14_prd )
| sP13_prd )
& ( ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| sP14_prd
| ~ sP13_prd ) ),
inference(NNF_transformation,[status(thm)],[f310]) ).
fof(f312,plain,
( op(e3,e2) = e3
| sP14_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f311]) ).
fof(f313,plain,
( op(e3,e3) != e2
| sP14_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f311]) ).
fof(f314,plain,
( op(e2,e2) = e2
| sP14_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f311]) ).
fof(f315,plain,
( op(e2,e2) != e2
| sP14_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f311]) ).
fof(f316,plain,
( ~ sP14_prd
| sP13_prd ),
inference(cnf_transformation,[status(thm)],[f311]) ).
fof(f318,definition,
( sP15_prd
<=> ( ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP15_prd])],[]) ).
fof(f319,plain,
( sP14_prd
<=> ( ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| sP15_prd ) ),
inference(formula_renaming,[status(thm)],[f309,f318]) ).
fof(f320,plain,
( ( ( ( op(e1,e2) = e1
| op(e1,e1) != e2
| op(e3,e3) = e2
| op(e3,e2) != e3 )
& ~ sP15_prd )
| sP14_prd )
& ( ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| sP15_prd
| ~ sP14_prd ) ),
inference(NNF_transformation,[status(thm)],[f319]) ).
fof(f321,plain,
( op(e3,e2) = e3
| sP15_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f320]) ).
fof(f322,plain,
( op(e3,e3) != e2
| sP15_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f320]) ).
fof(f323,plain,
( op(e1,e1) = e2
| sP15_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f320]) ).
fof(f324,plain,
( op(e1,e2) != e1
| sP15_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f320]) ).
fof(f325,plain,
( ~ sP15_prd
| sP14_prd ),
inference(cnf_transformation,[status(thm)],[f320]) ).
fof(f327,definition,
( sP16_prd
<=> ( ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP16_prd])],[]) ).
fof(f328,plain,
( sP15_prd
<=> ( ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| sP16_prd ) ),
inference(formula_renaming,[status(thm)],[f318,f327]) ).
fof(f329,plain,
( ( ( ( op(e0,e2) = e0
| op(e0,e0) != e2
| op(e3,e3) = e2
| op(e3,e2) != e3 )
& ~ sP16_prd )
| sP15_prd )
& ( ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| sP16_prd
| ~ sP15_prd ) ),
inference(NNF_transformation,[status(thm)],[f328]) ).
fof(f330,plain,
( op(e3,e2) = e3
| sP16_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f329]) ).
fof(f331,plain,
( op(e3,e3) != e2
| sP16_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f329]) ).
fof(f332,plain,
( op(e0,e0) = e2
| sP16_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f329]) ).
fof(f333,plain,
( op(e0,e2) != e0
| sP16_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f329]) ).
fof(f334,plain,
( ~ sP16_prd
| sP15_prd ),
inference(cnf_transformation,[status(thm)],[f329]) ).
fof(f336,definition,
( sP17_prd
<=> ( ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP17_prd])],[]) ).
fof(f337,plain,
( sP16_prd
<=> ( ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| sP17_prd ) ),
inference(formula_renaming,[status(thm)],[f327,f336]) ).
fof(f338,plain,
( ( ( ( op(e3,e1) = e3
| op(e3,e3) != e1
| op(e3,e3) = e1
| op(e3,e1) != e3 )
& ~ sP17_prd )
| sP16_prd )
& ( ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| sP17_prd
| ~ sP16_prd ) ),
inference(NNF_transformation,[status(thm)],[f337]) ).
fof(f339,plain,
( op(e3,e1) = e3
| sP17_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f338]) ).
fof(f342,plain,
( op(e3,e1) != e3
| sP17_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f338]) ).
fof(f343,plain,
( ~ sP17_prd
| sP16_prd ),
inference(cnf_transformation,[status(thm)],[f338]) ).
fof(f345,definition,
( sP18_prd
<=> ( ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP18_prd])],[]) ).
fof(f346,plain,
( sP17_prd
<=> ( ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| sP18_prd ) ),
inference(formula_renaming,[status(thm)],[f336,f345]) ).
fof(f347,plain,
( ( ( ( op(e2,e1) = e2
| op(e2,e2) != e1
| op(e3,e3) = e1
| op(e3,e1) != e3 )
& ~ sP18_prd )
| sP17_prd )
& ( ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| sP18_prd
| ~ sP17_prd ) ),
inference(NNF_transformation,[status(thm)],[f346]) ).
fof(f348,plain,
( op(e3,e1) = e3
| sP18_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f347]) ).
fof(f349,plain,
( op(e3,e3) != e1
| sP18_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f347]) ).
fof(f350,plain,
( op(e2,e2) = e1
| sP18_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f347]) ).
fof(f351,plain,
( op(e2,e1) != e2
| sP18_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f347]) ).
fof(f352,plain,
( ~ sP18_prd
| sP17_prd ),
inference(cnf_transformation,[status(thm)],[f347]) ).
fof(f354,definition,
( sP19_prd
<=> ( ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP19_prd])],[]) ).
fof(f355,plain,
( sP18_prd
<=> ( ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| sP19_prd ) ),
inference(formula_renaming,[status(thm)],[f345,f354]) ).
fof(f356,plain,
( ( ( ( op(e1,e1) = e1
| op(e1,e1) != e1
| op(e3,e3) = e1
| op(e3,e1) != e3 )
& ~ sP19_prd )
| sP18_prd )
& ( ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| sP19_prd
| ~ sP18_prd ) ),
inference(NNF_transformation,[status(thm)],[f355]) ).
fof(f357,plain,
( op(e3,e1) = e3
| sP19_prd
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f356]) ).
fof(f358,plain,
( op(e3,e3) != e1
| sP19_prd
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f356]) ).
fof(f359,plain,
( op(e1,e1) = e1
| sP19_prd
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f356]) ).
fof(f360,plain,
( op(e1,e1) != e1
| sP19_prd
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f356]) ).
fof(f361,plain,
( ~ sP19_prd
| sP18_prd ),
inference(cnf_transformation,[status(thm)],[f356]) ).
fof(f363,definition,
( sP20_prd
<=> ( ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP20_prd])],[]) ).
fof(f364,plain,
( sP19_prd
<=> ( ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| sP20_prd ) ),
inference(formula_renaming,[status(thm)],[f354,f363]) ).
fof(f365,plain,
( ( ( ( op(e0,e1) = e0
| op(e0,e0) != e1
| op(e3,e3) = e1
| op(e3,e1) != e3 )
& ~ sP20_prd )
| sP19_prd )
& ( ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| sP20_prd
| ~ sP19_prd ) ),
inference(NNF_transformation,[status(thm)],[f364]) ).
fof(f366,plain,
( op(e3,e1) = e3
| sP20_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f365]) ).
fof(f367,plain,
( op(e3,e3) != e1
| sP20_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f365]) ).
fof(f368,plain,
( op(e0,e0) = e1
| sP20_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f365]) ).
fof(f369,plain,
( op(e0,e1) != e0
| sP20_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f365]) ).
fof(f370,plain,
( ~ sP20_prd
| sP19_prd ),
inference(cnf_transformation,[status(thm)],[f365]) ).
fof(f372,definition,
( sP21_prd
<=> ( ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP21_prd])],[]) ).
fof(f373,plain,
( sP20_prd
<=> ( ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| sP21_prd ) ),
inference(formula_renaming,[status(thm)],[f363,f372]) ).
fof(f374,plain,
( ( ( ( op(e3,e0) = e3
| op(e3,e3) != e0
| op(e3,e3) = e0
| op(e3,e0) != e3 )
& ~ sP21_prd )
| sP20_prd )
& ( ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| sP21_prd
| ~ sP20_prd ) ),
inference(NNF_transformation,[status(thm)],[f373]) ).
fof(f375,plain,
( op(e3,e0) = e3
| sP21_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f374]) ).
fof(f378,plain,
( op(e3,e0) != e3
| sP21_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f374]) ).
fof(f379,plain,
( ~ sP21_prd
| sP20_prd ),
inference(cnf_transformation,[status(thm)],[f374]) ).
fof(f381,definition,
( sP22_prd
<=> ( ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP22_prd])],[]) ).
fof(f382,plain,
( sP21_prd
<=> ( ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| sP22_prd ) ),
inference(formula_renaming,[status(thm)],[f372,f381]) ).
fof(f383,plain,
( ( ( ( op(e2,e0) = e2
| op(e2,e2) != e0
| op(e3,e3) = e0
| op(e3,e0) != e3 )
& ~ sP22_prd )
| sP21_prd )
& ( ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| sP22_prd
| ~ sP21_prd ) ),
inference(NNF_transformation,[status(thm)],[f382]) ).
fof(f384,plain,
( op(e3,e0) = e3
| sP22_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f383]) ).
fof(f385,plain,
( op(e3,e3) != e0
| sP22_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f383]) ).
fof(f386,plain,
( op(e2,e2) = e0
| sP22_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f383]) ).
fof(f387,plain,
( op(e2,e0) != e2
| sP22_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f383]) ).
fof(f388,plain,
( ~ sP22_prd
| sP21_prd ),
inference(cnf_transformation,[status(thm)],[f383]) ).
fof(f390,definition,
( sP23_prd
<=> ( ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP23_prd])],[]) ).
fof(f391,plain,
( sP22_prd
<=> ( ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| sP23_prd ) ),
inference(formula_renaming,[status(thm)],[f381,f390]) ).
fof(f392,plain,
( ( ( ( op(e1,e0) = e1
| op(e1,e1) != e0
| op(e3,e3) = e0
| op(e3,e0) != e3 )
& ~ sP23_prd )
| sP22_prd )
& ( ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| sP23_prd
| ~ sP22_prd ) ),
inference(NNF_transformation,[status(thm)],[f391]) ).
fof(f393,plain,
( op(e3,e0) = e3
| sP23_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f392]) ).
fof(f394,plain,
( op(e3,e3) != e0
| sP23_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f392]) ).
fof(f395,plain,
( op(e1,e1) = e0
| sP23_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f392]) ).
fof(f396,plain,
( op(e1,e0) != e1
| sP23_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f392]) ).
fof(f397,plain,
( ~ sP23_prd
| sP22_prd ),
inference(cnf_transformation,[status(thm)],[f392]) ).
fof(f399,definition,
( sP24_prd
<=> ( ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP24_prd])],[]) ).
fof(f400,plain,
( sP23_prd
<=> ( ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| sP24_prd ) ),
inference(formula_renaming,[status(thm)],[f390,f399]) ).
fof(f401,plain,
( ( ( ( op(e0,e0) = e0
| op(e0,e0) != e0
| op(e3,e3) = e0
| op(e3,e0) != e3 )
& ~ sP24_prd )
| sP23_prd )
& ( ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| sP24_prd
| ~ sP23_prd ) ),
inference(NNF_transformation,[status(thm)],[f400]) ).
fof(f402,plain,
( op(e3,e0) = e3
| sP24_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f401]) ).
fof(f403,plain,
( op(e3,e3) != e0
| sP24_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f401]) ).
fof(f404,plain,
( op(e0,e0) = e0
| sP24_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f401]) ).
fof(f405,plain,
( op(e0,e0) != e0
| sP24_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f401]) ).
fof(f406,plain,
( ~ sP24_prd
| sP23_prd ),
inference(cnf_transformation,[status(thm)],[f401]) ).
fof(f408,definition,
( sP25_prd
<=> ( ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP25_prd])],[]) ).
fof(f409,plain,
( sP24_prd
<=> ( ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| sP25_prd ) ),
inference(formula_renaming,[status(thm)],[f399,f408]) ).
fof(f410,plain,
( ( ( ( op(e3,e3) = e3
| op(e3,e3) != e3
| op(e2,e2) = e3
| op(e2,e3) != e2 )
& ~ sP25_prd )
| sP24_prd )
& ( ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| sP25_prd
| ~ sP24_prd ) ),
inference(NNF_transformation,[status(thm)],[f409]) ).
fof(f411,plain,
( op(e2,e3) = e2
| sP25_prd
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f410]) ).
fof(f412,plain,
( op(e2,e2) != e3
| sP25_prd
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f410]) ).
fof(f413,plain,
( op(e3,e3) = e3
| sP25_prd
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f410]) ).
fof(f414,plain,
( op(e3,e3) != e3
| sP25_prd
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f410]) ).
fof(f415,plain,
( ~ sP25_prd
| sP24_prd ),
inference(cnf_transformation,[status(thm)],[f410]) ).
fof(f417,definition,
( sP26_prd
<=> ( ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP26_prd])],[]) ).
fof(f418,plain,
( sP25_prd
<=> ( ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| sP26_prd ) ),
inference(formula_renaming,[status(thm)],[f408,f417]) ).
fof(f419,plain,
( ( ( ( op(e2,e3) = e2
| op(e2,e2) != e3
| op(e2,e2) = e3
| op(e2,e3) != e2 )
& ~ sP26_prd )
| sP25_prd )
& ( ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| sP26_prd
| ~ sP25_prd ) ),
inference(NNF_transformation,[status(thm)],[f418]) ).
fof(f420,plain,
( op(e2,e3) = e2
| sP26_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f419]) ).
fof(f421,plain,
( op(e2,e2) != e3
| sP26_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f419]) ).
fof(f422,plain,
( op(e2,e2) = e3
| sP26_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f419]) ).
fof(f423,plain,
( op(e2,e3) != e2
| sP26_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f419]) ).
fof(f424,plain,
( ~ sP26_prd
| sP25_prd ),
inference(cnf_transformation,[status(thm)],[f419]) ).
fof(f426,definition,
( sP27_prd
<=> ( ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP27_prd])],[]) ).
fof(f427,plain,
( sP26_prd
<=> ( ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| sP27_prd ) ),
inference(formula_renaming,[status(thm)],[f417,f426]) ).
fof(f428,plain,
( ( ( ( op(e1,e3) = e1
| op(e1,e1) != e3
| op(e2,e2) = e3
| op(e2,e3) != e2 )
& ~ sP27_prd )
| sP26_prd )
& ( ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| sP27_prd
| ~ sP26_prd ) ),
inference(NNF_transformation,[status(thm)],[f427]) ).
fof(f429,plain,
( op(e2,e3) = e2
| sP27_prd
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f428]) ).
fof(f430,plain,
( op(e2,e2) != e3
| sP27_prd
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f428]) ).
fof(f431,plain,
( op(e1,e1) = e3
| sP27_prd
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f428]) ).
fof(f432,plain,
( op(e1,e3) != e1
| sP27_prd
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f428]) ).
fof(f433,plain,
( ~ sP27_prd
| sP26_prd ),
inference(cnf_transformation,[status(thm)],[f428]) ).
fof(f434,plain,
( op(e1,e3) = e1
| op(e1,e1) != e3
| op(e2,e2) = e3
| op(e2,e3) != e2
| sP26_prd ),
inference(cnf_transformation,[status(thm)],[f428]) ).
fof(f435,definition,
( sP28_prd
<=> ( ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP28_prd])],[]) ).
fof(f436,plain,
( sP27_prd
<=> ( ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| sP28_prd ) ),
inference(formula_renaming,[status(thm)],[f426,f435]) ).
fof(f437,plain,
( ( ( ( op(e0,e3) = e0
| op(e0,e0) != e3
| op(e2,e2) = e3
| op(e2,e3) != e2 )
& ~ sP28_prd )
| sP27_prd )
& ( ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| sP28_prd
| ~ sP27_prd ) ),
inference(NNF_transformation,[status(thm)],[f436]) ).
fof(f438,plain,
( op(e2,e3) = e2
| sP28_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f437]) ).
fof(f439,plain,
( op(e2,e2) != e3
| sP28_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f437]) ).
fof(f440,plain,
( op(e0,e0) = e3
| sP28_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f437]) ).
fof(f441,plain,
( op(e0,e3) != e0
| sP28_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f437]) ).
fof(f442,plain,
( ~ sP28_prd
| sP27_prd ),
inference(cnf_transformation,[status(thm)],[f437]) ).
fof(f444,definition,
( sP29_prd
<=> ( ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP29_prd])],[]) ).
fof(f445,plain,
( sP28_prd
<=> ( ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| sP29_prd ) ),
inference(formula_renaming,[status(thm)],[f435,f444]) ).
fof(f446,plain,
( ( ( ( op(e3,e2) = e3
| op(e3,e3) != e2
| op(e2,e2) = e2
| op(e2,e2) != e2 )
& ~ sP29_prd )
| sP28_prd )
& ( ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| sP29_prd
| ~ sP28_prd ) ),
inference(NNF_transformation,[status(thm)],[f445]) ).
fof(f447,plain,
( op(e2,e2) = e2
| sP29_prd
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f446]) ).
fof(f448,plain,
( op(e2,e2) != e2
| sP29_prd
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f446]) ).
fof(f450,plain,
( op(e3,e2) != e3
| sP29_prd
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f446]) ).
fof(f451,plain,
( ~ sP29_prd
| sP28_prd ),
inference(cnf_transformation,[status(thm)],[f446]) ).
fof(f453,definition,
( sP30_prd
<=> ( ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP30_prd])],[]) ).
fof(f454,plain,
( sP29_prd
<=> ( ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| sP30_prd ) ),
inference(formula_renaming,[status(thm)],[f444,f453]) ).
fof(f455,plain,
( ( ( ( op(e2,e2) = e2
| op(e2,e2) != e2
| op(e2,e2) = e2
| op(e2,e2) != e2 )
& ~ sP30_prd )
| sP29_prd )
& ( ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| sP30_prd
| ~ sP29_prd ) ),
inference(NNF_transformation,[status(thm)],[f454]) ).
fof(f456,plain,
( op(e2,e2) = e2
| sP30_prd
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f455]) ).
fof(f457,plain,
( op(e2,e2) != e2
| sP30_prd
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f455]) ).
fof(f460,plain,
( ~ sP30_prd
| sP29_prd ),
inference(cnf_transformation,[status(thm)],[f455]) ).
fof(f462,definition,
( sP31_prd
<=> ( ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP31_prd])],[]) ).
fof(f463,plain,
( sP30_prd
<=> ( ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| sP31_prd ) ),
inference(formula_renaming,[status(thm)],[f453,f462]) ).
fof(f464,plain,
( ( ( ( op(e1,e2) = e1
| op(e1,e1) != e2
| op(e2,e2) = e2
| op(e2,e2) != e2 )
& ~ sP31_prd )
| sP30_prd )
& ( ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| sP31_prd
| ~ sP30_prd ) ),
inference(NNF_transformation,[status(thm)],[f463]) ).
fof(f465,plain,
( op(e2,e2) = e2
| sP31_prd
| ~ sP30_prd ),
inference(cnf_transformation,[status(thm)],[f464]) ).
fof(f466,plain,
( op(e2,e2) != e2
| sP31_prd
| ~ sP30_prd ),
inference(cnf_transformation,[status(thm)],[f464]) ).
fof(f469,plain,
( ~ sP31_prd
| sP30_prd ),
inference(cnf_transformation,[status(thm)],[f464]) ).
fof(f471,definition,
( sP32_prd
<=> ( ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP32_prd])],[]) ).
fof(f472,plain,
( sP31_prd
<=> ( ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| sP32_prd ) ),
inference(formula_renaming,[status(thm)],[f462,f471]) ).
fof(f473,plain,
( ( ( ( op(e0,e2) = e0
| op(e0,e0) != e2
| op(e2,e2) = e2
| op(e2,e2) != e2 )
& ~ sP32_prd )
| sP31_prd )
& ( ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| sP32_prd
| ~ sP31_prd ) ),
inference(NNF_transformation,[status(thm)],[f472]) ).
fof(f474,plain,
( op(e2,e2) = e2
| sP32_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f473]) ).
fof(f475,plain,
( op(e2,e2) != e2
| sP32_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f473]) ).
fof(f478,plain,
( ~ sP32_prd
| sP31_prd ),
inference(cnf_transformation,[status(thm)],[f473]) ).
fof(f480,definition,
( sP33_prd
<=> ( ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP33_prd])],[]) ).
fof(f481,plain,
( sP32_prd
<=> ( ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| sP33_prd ) ),
inference(formula_renaming,[status(thm)],[f471,f480]) ).
fof(f482,plain,
( ( ( ( op(e3,e1) = e3
| op(e3,e3) != e1
| op(e2,e2) = e1
| op(e2,e1) != e2 )
& ~ sP33_prd )
| sP32_prd )
& ( ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| sP33_prd
| ~ sP32_prd ) ),
inference(NNF_transformation,[status(thm)],[f481]) ).
fof(f483,plain,
( op(e2,e1) = e2
| sP33_prd
| ~ sP32_prd ),
inference(cnf_transformation,[status(thm)],[f482]) ).
fof(f484,plain,
( op(e2,e2) != e1
| sP33_prd
| ~ sP32_prd ),
inference(cnf_transformation,[status(thm)],[f482]) ).
fof(f485,plain,
( op(e3,e3) = e1
| sP33_prd
| ~ sP32_prd ),
inference(cnf_transformation,[status(thm)],[f482]) ).
fof(f486,plain,
( op(e3,e1) != e3
| sP33_prd
| ~ sP32_prd ),
inference(cnf_transformation,[status(thm)],[f482]) ).
fof(f487,plain,
( ~ sP33_prd
| sP32_prd ),
inference(cnf_transformation,[status(thm)],[f482]) ).
fof(f488,plain,
( op(e3,e1) = e3
| op(e3,e3) != e1
| op(e2,e2) = e1
| op(e2,e1) != e2
| sP32_prd ),
inference(cnf_transformation,[status(thm)],[f482]) ).
fof(f489,definition,
( sP34_prd
<=> ( ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP34_prd])],[]) ).
fof(f490,plain,
( sP33_prd
<=> ( ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| sP34_prd ) ),
inference(formula_renaming,[status(thm)],[f480,f489]) ).
fof(f491,plain,
( ( ( ( op(e2,e1) = e2
| op(e2,e2) != e1
| op(e2,e2) = e1
| op(e2,e1) != e2 )
& ~ sP34_prd )
| sP33_prd )
& ( ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| sP34_prd
| ~ sP33_prd ) ),
inference(NNF_transformation,[status(thm)],[f490]) ).
fof(f492,plain,
( op(e2,e1) = e2
| sP34_prd
| ~ sP33_prd ),
inference(cnf_transformation,[status(thm)],[f491]) ).
fof(f493,plain,
( op(e2,e2) != e1
| sP34_prd
| ~ sP33_prd ),
inference(cnf_transformation,[status(thm)],[f491]) ).
fof(f494,plain,
( op(e2,e2) = e1
| sP34_prd
| ~ sP33_prd ),
inference(cnf_transformation,[status(thm)],[f491]) ).
fof(f495,plain,
( op(e2,e1) != e2
| sP34_prd
| ~ sP33_prd ),
inference(cnf_transformation,[status(thm)],[f491]) ).
fof(f496,plain,
( ~ sP34_prd
| sP33_prd ),
inference(cnf_transformation,[status(thm)],[f491]) ).
fof(f498,definition,
( sP35_prd
<=> ( ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP35_prd])],[]) ).
fof(f499,plain,
( sP34_prd
<=> ( ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| sP35_prd ) ),
inference(formula_renaming,[status(thm)],[f489,f498]) ).
fof(f500,plain,
( ( ( ( op(e1,e1) = e1
| op(e1,e1) != e1
| op(e2,e2) = e1
| op(e2,e1) != e2 )
& ~ sP35_prd )
| sP34_prd )
& ( ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| sP35_prd
| ~ sP34_prd ) ),
inference(NNF_transformation,[status(thm)],[f499]) ).
fof(f501,plain,
( op(e2,e1) = e2
| sP35_prd
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f500]) ).
fof(f502,plain,
( op(e2,e2) != e1
| sP35_prd
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f500]) ).
fof(f503,plain,
( op(e1,e1) = e1
| sP35_prd
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f500]) ).
fof(f504,plain,
( op(e1,e1) != e1
| sP35_prd
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f500]) ).
fof(f505,plain,
( ~ sP35_prd
| sP34_prd ),
inference(cnf_transformation,[status(thm)],[f500]) ).
fof(f507,definition,
( sP36_prd
<=> ( ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP36_prd])],[]) ).
fof(f508,plain,
( sP35_prd
<=> ( ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| sP36_prd ) ),
inference(formula_renaming,[status(thm)],[f498,f507]) ).
fof(f509,plain,
( ( ( ( op(e0,e1) = e0
| op(e0,e0) != e1
| op(e2,e2) = e1
| op(e2,e1) != e2 )
& ~ sP36_prd )
| sP35_prd )
& ( ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| sP36_prd
| ~ sP35_prd ) ),
inference(NNF_transformation,[status(thm)],[f508]) ).
fof(f510,plain,
( op(e2,e1) = e2
| sP36_prd
| ~ sP35_prd ),
inference(cnf_transformation,[status(thm)],[f509]) ).
fof(f511,plain,
( op(e2,e2) != e1
| sP36_prd
| ~ sP35_prd ),
inference(cnf_transformation,[status(thm)],[f509]) ).
fof(f512,plain,
( op(e0,e0) = e1
| sP36_prd
| ~ sP35_prd ),
inference(cnf_transformation,[status(thm)],[f509]) ).
fof(f513,plain,
( op(e0,e1) != e0
| sP36_prd
| ~ sP35_prd ),
inference(cnf_transformation,[status(thm)],[f509]) ).
fof(f514,plain,
( ~ sP36_prd
| sP35_prd ),
inference(cnf_transformation,[status(thm)],[f509]) ).
fof(f516,definition,
( sP37_prd
<=> ( ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP37_prd])],[]) ).
fof(f517,plain,
( sP36_prd
<=> ( ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| sP37_prd ) ),
inference(formula_renaming,[status(thm)],[f507,f516]) ).
fof(f518,plain,
( ( ( ( op(e3,e0) = e3
| op(e3,e3) != e0
| op(e2,e2) = e0
| op(e2,e0) != e2 )
& ~ sP37_prd )
| sP36_prd )
& ( ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| sP37_prd
| ~ sP36_prd ) ),
inference(NNF_transformation,[status(thm)],[f517]) ).
fof(f519,plain,
( op(e2,e0) = e2
| sP37_prd
| ~ sP36_prd ),
inference(cnf_transformation,[status(thm)],[f518]) ).
fof(f520,plain,
( op(e2,e2) != e0
| sP37_prd
| ~ sP36_prd ),
inference(cnf_transformation,[status(thm)],[f518]) ).
fof(f521,plain,
( op(e3,e3) = e0
| sP37_prd
| ~ sP36_prd ),
inference(cnf_transformation,[status(thm)],[f518]) ).
fof(f522,plain,
( op(e3,e0) != e3
| sP37_prd
| ~ sP36_prd ),
inference(cnf_transformation,[status(thm)],[f518]) ).
fof(f523,plain,
( ~ sP37_prd
| sP36_prd ),
inference(cnf_transformation,[status(thm)],[f518]) ).
fof(f525,definition,
( sP38_prd
<=> ( ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP38_prd])],[]) ).
fof(f526,plain,
( sP37_prd
<=> ( ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| sP38_prd ) ),
inference(formula_renaming,[status(thm)],[f516,f525]) ).
fof(f527,plain,
( ( ( ( op(e2,e0) = e2
| op(e2,e2) != e0
| op(e2,e2) = e0
| op(e2,e0) != e2 )
& ~ sP38_prd )
| sP37_prd )
& ( ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| sP38_prd
| ~ sP37_prd ) ),
inference(NNF_transformation,[status(thm)],[f526]) ).
fof(f528,plain,
( op(e2,e0) = e2
| sP38_prd
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f527]) ).
fof(f529,plain,
( op(e2,e2) != e0
| sP38_prd
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f527]) ).
fof(f530,plain,
( op(e2,e2) = e0
| sP38_prd
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f527]) ).
fof(f531,plain,
( op(e2,e0) != e2
| sP38_prd
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f527]) ).
fof(f532,plain,
( ~ sP38_prd
| sP37_prd ),
inference(cnf_transformation,[status(thm)],[f527]) ).
fof(f534,definition,
( sP39_prd
<=> ( ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP39_prd])],[]) ).
fof(f535,plain,
( sP38_prd
<=> ( ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| sP39_prd ) ),
inference(formula_renaming,[status(thm)],[f525,f534]) ).
fof(f536,plain,
( ( ( ( op(e1,e0) = e1
| op(e1,e1) != e0
| op(e2,e2) = e0
| op(e2,e0) != e2 )
& ~ sP39_prd )
| sP38_prd )
& ( ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| sP39_prd
| ~ sP38_prd ) ),
inference(NNF_transformation,[status(thm)],[f535]) ).
fof(f537,plain,
( op(e2,e0) = e2
| sP39_prd
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f536]) ).
fof(f538,plain,
( op(e2,e2) != e0
| sP39_prd
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f536]) ).
fof(f539,plain,
( op(e1,e1) = e0
| sP39_prd
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f536]) ).
fof(f540,plain,
( op(e1,e0) != e1
| sP39_prd
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f536]) ).
fof(f541,plain,
( ~ sP39_prd
| sP38_prd ),
inference(cnf_transformation,[status(thm)],[f536]) ).
fof(f542,plain,
( op(e1,e0) = e1
| op(e1,e1) != e0
| op(e2,e2) = e0
| op(e2,e0) != e2
| sP38_prd ),
inference(cnf_transformation,[status(thm)],[f536]) ).
fof(f543,definition,
( sP40_prd
<=> ( ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP40_prd])],[]) ).
fof(f544,plain,
( sP39_prd
<=> ( ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| sP40_prd ) ),
inference(formula_renaming,[status(thm)],[f534,f543]) ).
fof(f545,plain,
( ( ( ( op(e0,e0) = e0
| op(e0,e0) != e0
| op(e2,e2) = e0
| op(e2,e0) != e2 )
& ~ sP40_prd )
| sP39_prd )
& ( ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| sP40_prd
| ~ sP39_prd ) ),
inference(NNF_transformation,[status(thm)],[f544]) ).
fof(f546,plain,
( op(e2,e0) = e2
| sP40_prd
| ~ sP39_prd ),
inference(cnf_transformation,[status(thm)],[f545]) ).
fof(f547,plain,
( op(e2,e2) != e0
| sP40_prd
| ~ sP39_prd ),
inference(cnf_transformation,[status(thm)],[f545]) ).
fof(f548,plain,
( op(e0,e0) = e0
| sP40_prd
| ~ sP39_prd ),
inference(cnf_transformation,[status(thm)],[f545]) ).
fof(f549,plain,
( op(e0,e0) != e0
| sP40_prd
| ~ sP39_prd ),
inference(cnf_transformation,[status(thm)],[f545]) ).
fof(f550,plain,
( ~ sP40_prd
| sP39_prd ),
inference(cnf_transformation,[status(thm)],[f545]) ).
fof(f552,definition,
( sP41_prd
<=> ( ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP41_prd])],[]) ).
fof(f553,plain,
( sP40_prd
<=> ( ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| sP41_prd ) ),
inference(formula_renaming,[status(thm)],[f543,f552]) ).
fof(f554,plain,
( ( ( ( op(e3,e3) = e3
| op(e3,e3) != e3
| op(e1,e1) = e3
| op(e1,e3) != e1 )
& ~ sP41_prd )
| sP40_prd )
& ( ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| sP41_prd
| ~ sP40_prd ) ),
inference(NNF_transformation,[status(thm)],[f553]) ).
fof(f555,plain,
( op(e1,e3) = e1
| sP41_prd
| ~ sP40_prd ),
inference(cnf_transformation,[status(thm)],[f554]) ).
fof(f556,plain,
( op(e1,e1) != e3
| sP41_prd
| ~ sP40_prd ),
inference(cnf_transformation,[status(thm)],[f554]) ).
fof(f557,plain,
( op(e3,e3) = e3
| sP41_prd
| ~ sP40_prd ),
inference(cnf_transformation,[status(thm)],[f554]) ).
fof(f558,plain,
( op(e3,e3) != e3
| sP41_prd
| ~ sP40_prd ),
inference(cnf_transformation,[status(thm)],[f554]) ).
fof(f559,plain,
( ~ sP41_prd
| sP40_prd ),
inference(cnf_transformation,[status(thm)],[f554]) ).
fof(f561,definition,
( sP42_prd
<=> ( ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP42_prd])],[]) ).
fof(f562,plain,
( sP41_prd
<=> ( ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| sP42_prd ) ),
inference(formula_renaming,[status(thm)],[f552,f561]) ).
fof(f563,plain,
( ( ( ( op(e2,e3) = e2
| op(e2,e2) != e3
| op(e1,e1) = e3
| op(e1,e3) != e1 )
& ~ sP42_prd )
| sP41_prd )
& ( ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| sP42_prd
| ~ sP41_prd ) ),
inference(NNF_transformation,[status(thm)],[f562]) ).
fof(f564,plain,
( op(e1,e3) = e1
| sP42_prd
| ~ sP41_prd ),
inference(cnf_transformation,[status(thm)],[f563]) ).
fof(f565,plain,
( op(e1,e1) != e3
| sP42_prd
| ~ sP41_prd ),
inference(cnf_transformation,[status(thm)],[f563]) ).
fof(f566,plain,
( op(e2,e2) = e3
| sP42_prd
| ~ sP41_prd ),
inference(cnf_transformation,[status(thm)],[f563]) ).
fof(f567,plain,
( op(e2,e3) != e2
| sP42_prd
| ~ sP41_prd ),
inference(cnf_transformation,[status(thm)],[f563]) ).
fof(f568,plain,
( ~ sP42_prd
| sP41_prd ),
inference(cnf_transformation,[status(thm)],[f563]) ).
fof(f569,plain,
( op(e2,e3) = e2
| op(e2,e2) != e3
| op(e1,e1) = e3
| op(e1,e3) != e1
| sP41_prd ),
inference(cnf_transformation,[status(thm)],[f563]) ).
fof(f570,definition,
( sP43_prd
<=> ( ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP43_prd])],[]) ).
fof(f571,plain,
( sP42_prd
<=> ( ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| sP43_prd ) ),
inference(formula_renaming,[status(thm)],[f561,f570]) ).
fof(f572,plain,
( ( ( ( op(e1,e3) = e1
| op(e1,e1) != e3
| op(e1,e1) = e3
| op(e1,e3) != e1 )
& ~ sP43_prd )
| sP42_prd )
& ( ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| sP43_prd
| ~ sP42_prd ) ),
inference(NNF_transformation,[status(thm)],[f571]) ).
fof(f573,plain,
( op(e1,e3) = e1
| sP43_prd
| ~ sP42_prd ),
inference(cnf_transformation,[status(thm)],[f572]) ).
fof(f574,plain,
( op(e1,e1) != e3
| sP43_prd
| ~ sP42_prd ),
inference(cnf_transformation,[status(thm)],[f572]) ).
fof(f575,plain,
( op(e1,e1) = e3
| sP43_prd
| ~ sP42_prd ),
inference(cnf_transformation,[status(thm)],[f572]) ).
fof(f576,plain,
( op(e1,e3) != e1
| sP43_prd
| ~ sP42_prd ),
inference(cnf_transformation,[status(thm)],[f572]) ).
fof(f577,plain,
( ~ sP43_prd
| sP42_prd ),
inference(cnf_transformation,[status(thm)],[f572]) ).
fof(f579,definition,
( sP44_prd
<=> ( ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP44_prd])],[]) ).
fof(f580,plain,
( sP43_prd
<=> ( ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| sP44_prd ) ),
inference(formula_renaming,[status(thm)],[f570,f579]) ).
fof(f581,plain,
( ( ( ( op(e0,e3) = e0
| op(e0,e0) != e3
| op(e1,e1) = e3
| op(e1,e3) != e1 )
& ~ sP44_prd )
| sP43_prd )
& ( ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| sP44_prd
| ~ sP43_prd ) ),
inference(NNF_transformation,[status(thm)],[f580]) ).
fof(f582,plain,
( op(e1,e3) = e1
| sP44_prd
| ~ sP43_prd ),
inference(cnf_transformation,[status(thm)],[f581]) ).
fof(f583,plain,
( op(e1,e1) != e3
| sP44_prd
| ~ sP43_prd ),
inference(cnf_transformation,[status(thm)],[f581]) ).
fof(f584,plain,
( op(e0,e0) = e3
| sP44_prd
| ~ sP43_prd ),
inference(cnf_transformation,[status(thm)],[f581]) ).
fof(f585,plain,
( op(e0,e3) != e0
| sP44_prd
| ~ sP43_prd ),
inference(cnf_transformation,[status(thm)],[f581]) ).
fof(f586,plain,
( ~ sP44_prd
| sP43_prd ),
inference(cnf_transformation,[status(thm)],[f581]) ).
fof(f587,plain,
( op(e0,e3) = e0
| op(e0,e0) != e3
| op(e1,e1) = e3
| op(e1,e3) != e1
| sP43_prd ),
inference(cnf_transformation,[status(thm)],[f581]) ).
fof(f588,definition,
( sP45_prd
<=> ( ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP45_prd])],[]) ).
fof(f589,plain,
( sP44_prd
<=> ( ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| sP45_prd ) ),
inference(formula_renaming,[status(thm)],[f579,f588]) ).
fof(f590,plain,
( ( ( ( op(e3,e2) = e3
| op(e3,e3) != e2
| op(e1,e1) = e2
| op(e1,e2) != e1 )
& ~ sP45_prd )
| sP44_prd )
& ( ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| sP45_prd
| ~ sP44_prd ) ),
inference(NNF_transformation,[status(thm)],[f589]) ).
fof(f591,plain,
( op(e1,e2) = e1
| sP45_prd
| ~ sP44_prd ),
inference(cnf_transformation,[status(thm)],[f590]) ).
fof(f592,plain,
( op(e1,e1) != e2
| sP45_prd
| ~ sP44_prd ),
inference(cnf_transformation,[status(thm)],[f590]) ).
fof(f593,plain,
( op(e3,e3) = e2
| sP45_prd
| ~ sP44_prd ),
inference(cnf_transformation,[status(thm)],[f590]) ).
fof(f594,plain,
( op(e3,e2) != e3
| sP45_prd
| ~ sP44_prd ),
inference(cnf_transformation,[status(thm)],[f590]) ).
fof(f595,plain,
( ~ sP45_prd
| sP44_prd ),
inference(cnf_transformation,[status(thm)],[f590]) ).
fof(f596,plain,
( op(e3,e2) = e3
| op(e3,e3) != e2
| op(e1,e1) = e2
| op(e1,e2) != e1
| sP44_prd ),
inference(cnf_transformation,[status(thm)],[f590]) ).
fof(f597,definition,
( sP46_prd
<=> ( ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP46_prd])],[]) ).
fof(f598,plain,
( sP45_prd
<=> ( ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| sP46_prd ) ),
inference(formula_renaming,[status(thm)],[f588,f597]) ).
fof(f599,plain,
( ( ( ( op(e2,e2) = e2
| op(e2,e2) != e2
| op(e1,e1) = e2
| op(e1,e2) != e1 )
& ~ sP46_prd )
| sP45_prd )
& ( ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| sP46_prd
| ~ sP45_prd ) ),
inference(NNF_transformation,[status(thm)],[f598]) ).
fof(f600,plain,
( op(e1,e2) = e1
| sP46_prd
| ~ sP45_prd ),
inference(cnf_transformation,[status(thm)],[f599]) ).
fof(f601,plain,
( op(e1,e1) != e2
| sP46_prd
| ~ sP45_prd ),
inference(cnf_transformation,[status(thm)],[f599]) ).
fof(f602,plain,
( op(e2,e2) = e2
| sP46_prd
| ~ sP45_prd ),
inference(cnf_transformation,[status(thm)],[f599]) ).
fof(f603,plain,
( op(e2,e2) != e2
| sP46_prd
| ~ sP45_prd ),
inference(cnf_transformation,[status(thm)],[f599]) ).
fof(f604,plain,
( ~ sP46_prd
| sP45_prd ),
inference(cnf_transformation,[status(thm)],[f599]) ).
fof(f606,definition,
( sP47_prd
<=> ( ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP47_prd])],[]) ).
fof(f607,plain,
( sP46_prd
<=> ( ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| sP47_prd ) ),
inference(formula_renaming,[status(thm)],[f597,f606]) ).
fof(f608,plain,
( ( ( ( op(e1,e2) = e1
| op(e1,e1) != e2
| op(e1,e1) = e2
| op(e1,e2) != e1 )
& ~ sP47_prd )
| sP46_prd )
& ( ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| sP47_prd
| ~ sP46_prd ) ),
inference(NNF_transformation,[status(thm)],[f607]) ).
fof(f609,plain,
( op(e1,e2) = e1
| sP47_prd
| ~ sP46_prd ),
inference(cnf_transformation,[status(thm)],[f608]) ).
fof(f610,plain,
( op(e1,e1) != e2
| sP47_prd
| ~ sP46_prd ),
inference(cnf_transformation,[status(thm)],[f608]) ).
fof(f611,plain,
( op(e1,e1) = e2
| sP47_prd
| ~ sP46_prd ),
inference(cnf_transformation,[status(thm)],[f608]) ).
fof(f612,plain,
( op(e1,e2) != e1
| sP47_prd
| ~ sP46_prd ),
inference(cnf_transformation,[status(thm)],[f608]) ).
fof(f613,plain,
( ~ sP47_prd
| sP46_prd ),
inference(cnf_transformation,[status(thm)],[f608]) ).
fof(f615,definition,
( sP48_prd
<=> ( ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP48_prd])],[]) ).
fof(f616,plain,
( sP47_prd
<=> ( ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| sP48_prd ) ),
inference(formula_renaming,[status(thm)],[f606,f615]) ).
fof(f617,plain,
( ( ( ( op(e0,e2) = e0
| op(e0,e0) != e2
| op(e1,e1) = e2
| op(e1,e2) != e1 )
& ~ sP48_prd )
| sP47_prd )
& ( ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| sP48_prd
| ~ sP47_prd ) ),
inference(NNF_transformation,[status(thm)],[f616]) ).
fof(f618,plain,
( op(e1,e2) = e1
| sP48_prd
| ~ sP47_prd ),
inference(cnf_transformation,[status(thm)],[f617]) ).
fof(f619,plain,
( op(e1,e1) != e2
| sP48_prd
| ~ sP47_prd ),
inference(cnf_transformation,[status(thm)],[f617]) ).
fof(f620,plain,
( op(e0,e0) = e2
| sP48_prd
| ~ sP47_prd ),
inference(cnf_transformation,[status(thm)],[f617]) ).
fof(f621,plain,
( op(e0,e2) != e0
| sP48_prd
| ~ sP47_prd ),
inference(cnf_transformation,[status(thm)],[f617]) ).
fof(f622,plain,
( ~ sP48_prd
| sP47_prd ),
inference(cnf_transformation,[status(thm)],[f617]) ).
fof(f623,plain,
( op(e0,e2) = e0
| op(e0,e0) != e2
| op(e1,e1) = e2
| op(e1,e2) != e1
| sP47_prd ),
inference(cnf_transformation,[status(thm)],[f617]) ).
fof(f624,definition,
( sP49_prd
<=> ( ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP49_prd])],[]) ).
fof(f625,plain,
( sP48_prd
<=> ( ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| sP49_prd ) ),
inference(formula_renaming,[status(thm)],[f615,f624]) ).
fof(f626,plain,
( ( ( ( op(e3,e1) = e3
| op(e3,e3) != e1
| op(e1,e1) = e1
| op(e1,e1) != e1 )
& ~ sP49_prd )
| sP48_prd )
& ( ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| sP49_prd
| ~ sP48_prd ) ),
inference(NNF_transformation,[status(thm)],[f625]) ).
fof(f627,plain,
( op(e1,e1) = e1
| sP49_prd
| ~ sP48_prd ),
inference(cnf_transformation,[status(thm)],[f626]) ).
fof(f628,plain,
( op(e1,e1) != e1
| sP49_prd
| ~ sP48_prd ),
inference(cnf_transformation,[status(thm)],[f626]) ).
fof(f629,plain,
( op(e3,e3) = e1
| sP49_prd
| ~ sP48_prd ),
inference(cnf_transformation,[status(thm)],[f626]) ).
fof(f630,plain,
( op(e3,e1) != e3
| sP49_prd
| ~ sP48_prd ),
inference(cnf_transformation,[status(thm)],[f626]) ).
fof(f631,plain,
( ~ sP49_prd
| sP48_prd ),
inference(cnf_transformation,[status(thm)],[f626]) ).
fof(f633,definition,
( sP50_prd
<=> ( ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP50_prd])],[]) ).
fof(f634,plain,
( sP49_prd
<=> ( ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| sP50_prd ) ),
inference(formula_renaming,[status(thm)],[f624,f633]) ).
fof(f635,plain,
( ( ( ( op(e2,e1) = e2
| op(e2,e2) != e1
| op(e1,e1) = e1
| op(e1,e1) != e1 )
& ~ sP50_prd )
| sP49_prd )
& ( ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| sP50_prd
| ~ sP49_prd ) ),
inference(NNF_transformation,[status(thm)],[f634]) ).
fof(f636,plain,
( op(e1,e1) = e1
| sP50_prd
| ~ sP49_prd ),
inference(cnf_transformation,[status(thm)],[f635]) ).
fof(f637,plain,
( op(e1,e1) != e1
| sP50_prd
| ~ sP49_prd ),
inference(cnf_transformation,[status(thm)],[f635]) ).
fof(f638,plain,
( op(e2,e2) = e1
| sP50_prd
| ~ sP49_prd ),
inference(cnf_transformation,[status(thm)],[f635]) ).
fof(f640,plain,
( ~ sP50_prd
| sP49_prd ),
inference(cnf_transformation,[status(thm)],[f635]) ).
fof(f642,definition,
( sP51_prd
<=> ( ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP51_prd])],[]) ).
fof(f643,plain,
( sP50_prd
<=> ( ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| sP51_prd ) ),
inference(formula_renaming,[status(thm)],[f633,f642]) ).
fof(f644,plain,
( ( ( ( op(e1,e1) = e1
| op(e1,e1) != e1
| op(e1,e1) = e1
| op(e1,e1) != e1 )
& ~ sP51_prd )
| sP50_prd )
& ( ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| sP51_prd
| ~ sP50_prd ) ),
inference(NNF_transformation,[status(thm)],[f643]) ).
fof(f645,plain,
( op(e1,e1) = e1
| sP51_prd
| ~ sP50_prd ),
inference(cnf_transformation,[status(thm)],[f644]) ).
fof(f646,plain,
( op(e1,e1) != e1
| sP51_prd
| ~ sP50_prd ),
inference(cnf_transformation,[status(thm)],[f644]) ).
fof(f649,plain,
( ~ sP51_prd
| sP50_prd ),
inference(cnf_transformation,[status(thm)],[f644]) ).
fof(f651,definition,
( sP52_prd
<=> ( ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP52_prd])],[]) ).
fof(f652,plain,
( sP51_prd
<=> ( ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| sP52_prd ) ),
inference(formula_renaming,[status(thm)],[f642,f651]) ).
fof(f653,plain,
( ( ( ( op(e0,e1) = e0
| op(e0,e0) != e1
| op(e1,e1) = e1
| op(e1,e1) != e1 )
& ~ sP52_prd )
| sP51_prd )
& ( ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| sP52_prd
| ~ sP51_prd ) ),
inference(NNF_transformation,[status(thm)],[f652]) ).
fof(f654,plain,
( op(e1,e1) = e1
| sP52_prd
| ~ sP51_prd ),
inference(cnf_transformation,[status(thm)],[f653]) ).
fof(f655,plain,
( op(e1,e1) != e1
| sP52_prd
| ~ sP51_prd ),
inference(cnf_transformation,[status(thm)],[f653]) ).
fof(f656,plain,
( op(e0,e0) = e1
| sP52_prd
| ~ sP51_prd ),
inference(cnf_transformation,[status(thm)],[f653]) ).
fof(f657,plain,
( op(e0,e1) != e0
| sP52_prd
| ~ sP51_prd ),
inference(cnf_transformation,[status(thm)],[f653]) ).
fof(f658,plain,
( ~ sP52_prd
| sP51_prd ),
inference(cnf_transformation,[status(thm)],[f653]) ).
fof(f660,definition,
( sP53_prd
<=> ( ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP53_prd])],[]) ).
fof(f661,plain,
( sP52_prd
<=> ( ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| sP53_prd ) ),
inference(formula_renaming,[status(thm)],[f651,f660]) ).
fof(f662,plain,
( ( ( ( op(e3,e0) = e3
| op(e3,e3) != e0
| op(e1,e1) = e0
| op(e1,e0) != e1 )
& ~ sP53_prd )
| sP52_prd )
& ( ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| sP53_prd
| ~ sP52_prd ) ),
inference(NNF_transformation,[status(thm)],[f661]) ).
fof(f663,plain,
( op(e1,e0) = e1
| sP53_prd
| ~ sP52_prd ),
inference(cnf_transformation,[status(thm)],[f662]) ).
fof(f664,plain,
( op(e1,e1) != e0
| sP53_prd
| ~ sP52_prd ),
inference(cnf_transformation,[status(thm)],[f662]) ).
fof(f665,plain,
( op(e3,e3) = e0
| sP53_prd
| ~ sP52_prd ),
inference(cnf_transformation,[status(thm)],[f662]) ).
fof(f666,plain,
( op(e3,e0) != e3
| sP53_prd
| ~ sP52_prd ),
inference(cnf_transformation,[status(thm)],[f662]) ).
fof(f667,plain,
( ~ sP53_prd
| sP52_prd ),
inference(cnf_transformation,[status(thm)],[f662]) ).
fof(f668,plain,
( op(e3,e0) = e3
| op(e3,e3) != e0
| op(e1,e1) = e0
| op(e1,e0) != e1
| sP52_prd ),
inference(cnf_transformation,[status(thm)],[f662]) ).
fof(f669,definition,
( sP54_prd
<=> ( ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP54_prd])],[]) ).
fof(f670,plain,
( sP53_prd
<=> ( ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| sP54_prd ) ),
inference(formula_renaming,[status(thm)],[f660,f669]) ).
fof(f671,plain,
( ( ( ( op(e2,e0) = e2
| op(e2,e2) != e0
| op(e1,e1) = e0
| op(e1,e0) != e1 )
& ~ sP54_prd )
| sP53_prd )
& ( ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| sP54_prd
| ~ sP53_prd ) ),
inference(NNF_transformation,[status(thm)],[f670]) ).
fof(f672,plain,
( op(e1,e0) = e1
| sP54_prd
| ~ sP53_prd ),
inference(cnf_transformation,[status(thm)],[f671]) ).
fof(f673,plain,
( op(e1,e1) != e0
| sP54_prd
| ~ sP53_prd ),
inference(cnf_transformation,[status(thm)],[f671]) ).
fof(f674,plain,
( op(e2,e2) = e0
| sP54_prd
| ~ sP53_prd ),
inference(cnf_transformation,[status(thm)],[f671]) ).
fof(f675,plain,
( op(e2,e0) != e2
| sP54_prd
| ~ sP53_prd ),
inference(cnf_transformation,[status(thm)],[f671]) ).
fof(f676,plain,
( ~ sP54_prd
| sP53_prd ),
inference(cnf_transformation,[status(thm)],[f671]) ).
fof(f677,plain,
( op(e2,e0) = e2
| op(e2,e2) != e0
| op(e1,e1) = e0
| op(e1,e0) != e1
| sP53_prd ),
inference(cnf_transformation,[status(thm)],[f671]) ).
fof(f678,definition,
( sP55_prd
<=> ( ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP55_prd])],[]) ).
fof(f679,plain,
( sP54_prd
<=> ( ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| sP55_prd ) ),
inference(formula_renaming,[status(thm)],[f669,f678]) ).
fof(f680,plain,
( ( ( ( op(e1,e0) = e1
| op(e1,e1) != e0
| op(e1,e1) = e0
| op(e1,e0) != e1 )
& ~ sP55_prd )
| sP54_prd )
& ( ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| sP55_prd
| ~ sP54_prd ) ),
inference(NNF_transformation,[status(thm)],[f679]) ).
fof(f681,plain,
( op(e1,e0) = e1
| sP55_prd
| ~ sP54_prd ),
inference(cnf_transformation,[status(thm)],[f680]) ).
fof(f682,plain,
( op(e1,e1) != e0
| sP55_prd
| ~ sP54_prd ),
inference(cnf_transformation,[status(thm)],[f680]) ).
fof(f683,plain,
( op(e1,e1) = e0
| sP55_prd
| ~ sP54_prd ),
inference(cnf_transformation,[status(thm)],[f680]) ).
fof(f684,plain,
( op(e1,e0) != e1
| sP55_prd
| ~ sP54_prd ),
inference(cnf_transformation,[status(thm)],[f680]) ).
fof(f685,plain,
( ~ sP55_prd
| sP54_prd ),
inference(cnf_transformation,[status(thm)],[f680]) ).
fof(f687,definition,
( sP56_prd
<=> ( ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP56_prd])],[]) ).
fof(f688,plain,
( sP55_prd
<=> ( ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| sP56_prd ) ),
inference(formula_renaming,[status(thm)],[f678,f687]) ).
fof(f689,plain,
( ( ( ( op(e0,e0) = e0
| op(e0,e0) != e0
| op(e1,e1) = e0
| op(e1,e0) != e1 )
& ~ sP56_prd )
| sP55_prd )
& ( ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| sP56_prd
| ~ sP55_prd ) ),
inference(NNF_transformation,[status(thm)],[f688]) ).
fof(f690,plain,
( op(e1,e0) = e1
| sP56_prd
| ~ sP55_prd ),
inference(cnf_transformation,[status(thm)],[f689]) ).
fof(f691,plain,
( op(e1,e1) != e0
| sP56_prd
| ~ sP55_prd ),
inference(cnf_transformation,[status(thm)],[f689]) ).
fof(f692,plain,
( op(e0,e0) = e0
| sP56_prd
| ~ sP55_prd ),
inference(cnf_transformation,[status(thm)],[f689]) ).
fof(f693,plain,
( op(e0,e0) != e0
| sP56_prd
| ~ sP55_prd ),
inference(cnf_transformation,[status(thm)],[f689]) ).
fof(f694,plain,
( ~ sP56_prd
| sP55_prd ),
inference(cnf_transformation,[status(thm)],[f689]) ).
fof(f696,definition,
( sP57_prd
<=> ( ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP57_prd])],[]) ).
fof(f697,plain,
( sP56_prd
<=> ( ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| sP57_prd ) ),
inference(formula_renaming,[status(thm)],[f687,f696]) ).
fof(f698,plain,
( ( ( ( op(e3,e3) = e3
| op(e3,e3) != e3
| op(e0,e0) = e3
| op(e0,e3) != e0 )
& ~ sP57_prd )
| sP56_prd )
& ( ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| sP57_prd
| ~ sP56_prd ) ),
inference(NNF_transformation,[status(thm)],[f697]) ).
fof(f699,plain,
( op(e0,e3) = e0
| sP57_prd
| ~ sP56_prd ),
inference(cnf_transformation,[status(thm)],[f698]) ).
fof(f700,plain,
( op(e0,e0) != e3
| sP57_prd
| ~ sP56_prd ),
inference(cnf_transformation,[status(thm)],[f698]) ).
fof(f701,plain,
( op(e3,e3) = e3
| sP57_prd
| ~ sP56_prd ),
inference(cnf_transformation,[status(thm)],[f698]) ).
fof(f702,plain,
( op(e3,e3) != e3
| sP57_prd
| ~ sP56_prd ),
inference(cnf_transformation,[status(thm)],[f698]) ).
fof(f703,plain,
( ~ sP57_prd
| sP56_prd ),
inference(cnf_transformation,[status(thm)],[f698]) ).
fof(f705,definition,
( sP58_prd
<=> ( ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP58_prd])],[]) ).
fof(f706,plain,
( sP57_prd
<=> ( ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| sP58_prd ) ),
inference(formula_renaming,[status(thm)],[f696,f705]) ).
fof(f707,plain,
( ( ( ( op(e2,e3) = e2
| op(e2,e2) != e3
| op(e0,e0) = e3
| op(e0,e3) != e0 )
& ~ sP58_prd )
| sP57_prd )
& ( ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| sP58_prd
| ~ sP57_prd ) ),
inference(NNF_transformation,[status(thm)],[f706]) ).
fof(f708,plain,
( op(e0,e3) = e0
| sP58_prd
| ~ sP57_prd ),
inference(cnf_transformation,[status(thm)],[f707]) ).
fof(f709,plain,
( op(e0,e0) != e3
| sP58_prd
| ~ sP57_prd ),
inference(cnf_transformation,[status(thm)],[f707]) ).
fof(f710,plain,
( op(e2,e2) = e3
| sP58_prd
| ~ sP57_prd ),
inference(cnf_transformation,[status(thm)],[f707]) ).
fof(f711,plain,
( op(e2,e3) != e2
| sP58_prd
| ~ sP57_prd ),
inference(cnf_transformation,[status(thm)],[f707]) ).
fof(f712,plain,
( ~ sP58_prd
| sP57_prd ),
inference(cnf_transformation,[status(thm)],[f707]) ).
fof(f714,definition,
( sP59_prd
<=> ( ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP59_prd])],[]) ).
fof(f715,plain,
( sP58_prd
<=> ( ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| sP59_prd ) ),
inference(formula_renaming,[status(thm)],[f705,f714]) ).
fof(f716,plain,
( ( ( ( op(e1,e3) = e1
| op(e1,e1) != e3
| op(e0,e0) = e3
| op(e0,e3) != e0 )
& ~ sP59_prd )
| sP58_prd )
& ( ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| sP59_prd
| ~ sP58_prd ) ),
inference(NNF_transformation,[status(thm)],[f715]) ).
fof(f717,plain,
( op(e0,e3) = e0
| sP59_prd
| ~ sP58_prd ),
inference(cnf_transformation,[status(thm)],[f716]) ).
fof(f718,plain,
( op(e0,e0) != e3
| sP59_prd
| ~ sP58_prd ),
inference(cnf_transformation,[status(thm)],[f716]) ).
fof(f719,plain,
( op(e1,e1) = e3
| sP59_prd
| ~ sP58_prd ),
inference(cnf_transformation,[status(thm)],[f716]) ).
fof(f720,plain,
( op(e1,e3) != e1
| sP59_prd
| ~ sP58_prd ),
inference(cnf_transformation,[status(thm)],[f716]) ).
fof(f721,plain,
( ~ sP59_prd
| sP58_prd ),
inference(cnf_transformation,[status(thm)],[f716]) ).
fof(f722,plain,
( op(e1,e3) = e1
| op(e1,e1) != e3
| op(e0,e0) = e3
| op(e0,e3) != e0
| sP58_prd ),
inference(cnf_transformation,[status(thm)],[f716]) ).
fof(f723,definition,
( sP60_prd
<=> ( ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP60_prd])],[]) ).
fof(f724,plain,
( sP59_prd
<=> ( ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| sP60_prd ) ),
inference(formula_renaming,[status(thm)],[f714,f723]) ).
fof(f725,plain,
( ( ( ( op(e0,e3) = e0
| op(e0,e0) != e3
| op(e0,e0) = e3
| op(e0,e3) != e0 )
& ~ sP60_prd )
| sP59_prd )
& ( ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| sP60_prd
| ~ sP59_prd ) ),
inference(NNF_transformation,[status(thm)],[f724]) ).
fof(f726,plain,
( op(e0,e3) = e0
| sP60_prd
| ~ sP59_prd ),
inference(cnf_transformation,[status(thm)],[f725]) ).
fof(f727,plain,
( op(e0,e0) != e3
| sP60_prd
| ~ sP59_prd ),
inference(cnf_transformation,[status(thm)],[f725]) ).
fof(f728,plain,
( op(e0,e0) = e3
| sP60_prd
| ~ sP59_prd ),
inference(cnf_transformation,[status(thm)],[f725]) ).
fof(f729,plain,
( op(e0,e3) != e0
| sP60_prd
| ~ sP59_prd ),
inference(cnf_transformation,[status(thm)],[f725]) ).
fof(f730,plain,
( ~ sP60_prd
| sP59_prd ),
inference(cnf_transformation,[status(thm)],[f725]) ).
fof(f732,definition,
( sP61_prd
<=> ( ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP61_prd])],[]) ).
fof(f733,plain,
( sP60_prd
<=> ( ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| sP61_prd ) ),
inference(formula_renaming,[status(thm)],[f723,f732]) ).
fof(f734,plain,
( ( ( ( op(e3,e2) = e3
| op(e3,e3) != e2
| op(e0,e0) = e2
| op(e0,e2) != e0 )
& ~ sP61_prd )
| sP60_prd )
& ( ( op(e3,e2) != e3
& op(e3,e3) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| sP61_prd
| ~ sP60_prd ) ),
inference(NNF_transformation,[status(thm)],[f733]) ).
fof(f735,plain,
( op(e0,e2) = e0
| sP61_prd
| ~ sP60_prd ),
inference(cnf_transformation,[status(thm)],[f734]) ).
fof(f736,plain,
( op(e0,e0) != e2
| sP61_prd
| ~ sP60_prd ),
inference(cnf_transformation,[status(thm)],[f734]) ).
fof(f737,plain,
( op(e3,e3) = e2
| sP61_prd
| ~ sP60_prd ),
inference(cnf_transformation,[status(thm)],[f734]) ).
fof(f738,plain,
( op(e3,e2) != e3
| sP61_prd
| ~ sP60_prd ),
inference(cnf_transformation,[status(thm)],[f734]) ).
fof(f739,plain,
( ~ sP61_prd
| sP60_prd ),
inference(cnf_transformation,[status(thm)],[f734]) ).
fof(f740,plain,
( op(e3,e2) = e3
| op(e3,e3) != e2
| op(e0,e0) = e2
| op(e0,e2) != e0
| sP60_prd ),
inference(cnf_transformation,[status(thm)],[f734]) ).
fof(f741,definition,
( sP62_prd
<=> ( ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP62_prd])],[]) ).
fof(f742,plain,
( sP61_prd
<=> ( ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| sP62_prd ) ),
inference(formula_renaming,[status(thm)],[f732,f741]) ).
fof(f743,plain,
( ( ( ( op(e2,e2) = e2
| op(e2,e2) != e2
| op(e0,e0) = e2
| op(e0,e2) != e0 )
& ~ sP62_prd )
| sP61_prd )
& ( ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| sP62_prd
| ~ sP61_prd ) ),
inference(NNF_transformation,[status(thm)],[f742]) ).
fof(f744,plain,
( op(e0,e2) = e0
| sP62_prd
| ~ sP61_prd ),
inference(cnf_transformation,[status(thm)],[f743]) ).
fof(f745,plain,
( op(e0,e0) != e2
| sP62_prd
| ~ sP61_prd ),
inference(cnf_transformation,[status(thm)],[f743]) ).
fof(f746,plain,
( op(e2,e2) = e2
| sP62_prd
| ~ sP61_prd ),
inference(cnf_transformation,[status(thm)],[f743]) ).
fof(f747,plain,
( op(e2,e2) != e2
| sP62_prd
| ~ sP61_prd ),
inference(cnf_transformation,[status(thm)],[f743]) ).
fof(f748,plain,
( ~ sP62_prd
| sP61_prd ),
inference(cnf_transformation,[status(thm)],[f743]) ).
fof(f750,definition,
( sP63_prd
<=> ( ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP63_prd])],[]) ).
fof(f751,plain,
( sP62_prd
<=> ( ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| sP63_prd ) ),
inference(formula_renaming,[status(thm)],[f741,f750]) ).
fof(f752,plain,
( ( ( ( op(e1,e2) = e1
| op(e1,e1) != e2
| op(e0,e0) = e2
| op(e0,e2) != e0 )
& ~ sP63_prd )
| sP62_prd )
& ( ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| sP63_prd
| ~ sP62_prd ) ),
inference(NNF_transformation,[status(thm)],[f751]) ).
fof(f753,plain,
( op(e0,e2) = e0
| sP63_prd
| ~ sP62_prd ),
inference(cnf_transformation,[status(thm)],[f752]) ).
fof(f754,plain,
( op(e0,e0) != e2
| sP63_prd
| ~ sP62_prd ),
inference(cnf_transformation,[status(thm)],[f752]) ).
fof(f755,plain,
( op(e1,e1) = e2
| sP63_prd
| ~ sP62_prd ),
inference(cnf_transformation,[status(thm)],[f752]) ).
fof(f756,plain,
( op(e1,e2) != e1
| sP63_prd
| ~ sP62_prd ),
inference(cnf_transformation,[status(thm)],[f752]) ).
fof(f757,plain,
( ~ sP63_prd
| sP62_prd ),
inference(cnf_transformation,[status(thm)],[f752]) ).
fof(f758,plain,
( op(e1,e2) = e1
| op(e1,e1) != e2
| op(e0,e0) = e2
| op(e0,e2) != e0
| sP62_prd ),
inference(cnf_transformation,[status(thm)],[f752]) ).
fof(f759,definition,
( sP64_prd
<=> ( ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP64_prd])],[]) ).
fof(f760,plain,
( sP63_prd
<=> ( ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| sP64_prd ) ),
inference(formula_renaming,[status(thm)],[f750,f759]) ).
fof(f761,plain,
( ( ( ( op(e0,e2) = e0
| op(e0,e0) != e2
| op(e0,e0) = e2
| op(e0,e2) != e0 )
& ~ sP64_prd )
| sP63_prd )
& ( ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| sP64_prd
| ~ sP63_prd ) ),
inference(NNF_transformation,[status(thm)],[f760]) ).
fof(f762,plain,
( op(e0,e2) = e0
| sP64_prd
| ~ sP63_prd ),
inference(cnf_transformation,[status(thm)],[f761]) ).
fof(f763,plain,
( op(e0,e0) != e2
| sP64_prd
| ~ sP63_prd ),
inference(cnf_transformation,[status(thm)],[f761]) ).
fof(f764,plain,
( op(e0,e0) = e2
| sP64_prd
| ~ sP63_prd ),
inference(cnf_transformation,[status(thm)],[f761]) ).
fof(f765,plain,
( op(e0,e2) != e0
| sP64_prd
| ~ sP63_prd ),
inference(cnf_transformation,[status(thm)],[f761]) ).
fof(f766,plain,
( ~ sP64_prd
| sP63_prd ),
inference(cnf_transformation,[status(thm)],[f761]) ).
fof(f768,definition,
( sP65_prd
<=> ( ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP65_prd])],[]) ).
fof(f769,plain,
( sP64_prd
<=> ( ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| sP65_prd ) ),
inference(formula_renaming,[status(thm)],[f759,f768]) ).
fof(f770,plain,
( ( ( ( op(e3,e1) = e3
| op(e3,e3) != e1
| op(e0,e0) = e1
| op(e0,e1) != e0 )
& ~ sP65_prd )
| sP64_prd )
& ( ( op(e3,e1) != e3
& op(e3,e3) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| sP65_prd
| ~ sP64_prd ) ),
inference(NNF_transformation,[status(thm)],[f769]) ).
fof(f771,plain,
( op(e0,e1) = e0
| sP65_prd
| ~ sP64_prd ),
inference(cnf_transformation,[status(thm)],[f770]) ).
fof(f772,plain,
( op(e0,e0) != e1
| sP65_prd
| ~ sP64_prd ),
inference(cnf_transformation,[status(thm)],[f770]) ).
fof(f773,plain,
( op(e3,e3) = e1
| sP65_prd
| ~ sP64_prd ),
inference(cnf_transformation,[status(thm)],[f770]) ).
fof(f774,plain,
( op(e3,e1) != e3
| sP65_prd
| ~ sP64_prd ),
inference(cnf_transformation,[status(thm)],[f770]) ).
fof(f775,plain,
( ~ sP65_prd
| sP64_prd ),
inference(cnf_transformation,[status(thm)],[f770]) ).
fof(f776,plain,
( op(e3,e1) = e3
| op(e3,e3) != e1
| op(e0,e0) = e1
| op(e0,e1) != e0
| sP64_prd ),
inference(cnf_transformation,[status(thm)],[f770]) ).
fof(f777,definition,
( sP66_prd
<=> ( ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP66_prd])],[]) ).
fof(f778,plain,
( sP65_prd
<=> ( ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| sP66_prd ) ),
inference(formula_renaming,[status(thm)],[f768,f777]) ).
fof(f779,plain,
( ( ( ( op(e2,e1) = e2
| op(e2,e2) != e1
| op(e0,e0) = e1
| op(e0,e1) != e0 )
& ~ sP66_prd )
| sP65_prd )
& ( ( op(e2,e1) != e2
& op(e2,e2) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| sP66_prd
| ~ sP65_prd ) ),
inference(NNF_transformation,[status(thm)],[f778]) ).
fof(f780,plain,
( op(e0,e1) = e0
| sP66_prd
| ~ sP65_prd ),
inference(cnf_transformation,[status(thm)],[f779]) ).
fof(f781,plain,
( op(e0,e0) != e1
| sP66_prd
| ~ sP65_prd ),
inference(cnf_transformation,[status(thm)],[f779]) ).
fof(f782,plain,
( op(e2,e2) = e1
| sP66_prd
| ~ sP65_prd ),
inference(cnf_transformation,[status(thm)],[f779]) ).
fof(f783,plain,
( op(e2,e1) != e2
| sP66_prd
| ~ sP65_prd ),
inference(cnf_transformation,[status(thm)],[f779]) ).
fof(f784,plain,
( ~ sP66_prd
| sP65_prd ),
inference(cnf_transformation,[status(thm)],[f779]) ).
fof(f785,plain,
( op(e2,e1) = e2
| op(e2,e2) != e1
| op(e0,e0) = e1
| op(e0,e1) != e0
| sP65_prd ),
inference(cnf_transformation,[status(thm)],[f779]) ).
fof(f786,definition,
( sP67_prd
<=> ( ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP67_prd])],[]) ).
fof(f787,plain,
( sP66_prd
<=> ( ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| sP67_prd ) ),
inference(formula_renaming,[status(thm)],[f777,f786]) ).
fof(f788,plain,
( ( ( ( op(e1,e1) = e1
| op(e1,e1) != e1
| op(e0,e0) = e1
| op(e0,e1) != e0 )
& ~ sP67_prd )
| sP66_prd )
& ( ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| sP67_prd
| ~ sP66_prd ) ),
inference(NNF_transformation,[status(thm)],[f787]) ).
fof(f789,plain,
( op(e0,e1) = e0
| sP67_prd
| ~ sP66_prd ),
inference(cnf_transformation,[status(thm)],[f788]) ).
fof(f790,plain,
( op(e0,e0) != e1
| sP67_prd
| ~ sP66_prd ),
inference(cnf_transformation,[status(thm)],[f788]) ).
fof(f791,plain,
( op(e1,e1) = e1
| sP67_prd
| ~ sP66_prd ),
inference(cnf_transformation,[status(thm)],[f788]) ).
fof(f792,plain,
( op(e1,e1) != e1
| sP67_prd
| ~ sP66_prd ),
inference(cnf_transformation,[status(thm)],[f788]) ).
fof(f793,plain,
( ~ sP67_prd
| sP66_prd ),
inference(cnf_transformation,[status(thm)],[f788]) ).
fof(f795,definition,
( sP68_prd
<=> ( ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP68_prd])],[]) ).
fof(f796,plain,
( sP67_prd
<=> ( ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| sP68_prd ) ),
inference(formula_renaming,[status(thm)],[f786,f795]) ).
fof(f797,plain,
( ( ( ( op(e0,e1) = e0
| op(e0,e0) != e1
| op(e0,e0) = e1
| op(e0,e1) != e0 )
& ~ sP68_prd )
| sP67_prd )
& ( ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| sP68_prd
| ~ sP67_prd ) ),
inference(NNF_transformation,[status(thm)],[f796]) ).
fof(f798,plain,
( op(e0,e1) = e0
| sP68_prd
| ~ sP67_prd ),
inference(cnf_transformation,[status(thm)],[f797]) ).
fof(f799,plain,
( op(e0,e0) != e1
| sP68_prd
| ~ sP67_prd ),
inference(cnf_transformation,[status(thm)],[f797]) ).
fof(f800,plain,
( op(e0,e0) = e1
| sP68_prd
| ~ sP67_prd ),
inference(cnf_transformation,[status(thm)],[f797]) ).
fof(f802,plain,
( ~ sP68_prd
| sP67_prd ),
inference(cnf_transformation,[status(thm)],[f797]) ).
fof(f804,definition,
( sP69_prd
<=> ( ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP69_prd])],[]) ).
fof(f805,plain,
( sP68_prd
<=> ( ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| sP69_prd ) ),
inference(formula_renaming,[status(thm)],[f795,f804]) ).
fof(f806,plain,
( ( ( ( op(e3,e0) = e3
| op(e3,e3) != e0
| op(e0,e0) = e0
| op(e0,e0) != e0 )
& ~ sP69_prd )
| sP68_prd )
& ( ( op(e3,e0) != e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| sP69_prd
| ~ sP68_prd ) ),
inference(NNF_transformation,[status(thm)],[f805]) ).
fof(f807,plain,
( op(e0,e0) = e0
| sP69_prd
| ~ sP68_prd ),
inference(cnf_transformation,[status(thm)],[f806]) ).
fof(f808,plain,
( op(e0,e0) != e0
| sP69_prd
| ~ sP68_prd ),
inference(cnf_transformation,[status(thm)],[f806]) ).
fof(f809,plain,
( op(e3,e3) = e0
| sP69_prd
| ~ sP68_prd ),
inference(cnf_transformation,[status(thm)],[f806]) ).
fof(f811,plain,
( ~ sP69_prd
| sP68_prd ),
inference(cnf_transformation,[status(thm)],[f806]) ).
fof(f813,definition,
( sP70_prd
<=> ( ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP70_prd])],[]) ).
fof(f814,plain,
( sP69_prd
<=> ( ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| sP70_prd ) ),
inference(formula_renaming,[status(thm)],[f804,f813]) ).
fof(f815,plain,
( ( ( ( op(e2,e0) = e2
| op(e2,e2) != e0
| op(e0,e0) = e0
| op(e0,e0) != e0 )
& ~ sP70_prd )
| sP69_prd )
& ( ( op(e2,e0) != e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| sP70_prd
| ~ sP69_prd ) ),
inference(NNF_transformation,[status(thm)],[f814]) ).
fof(f816,plain,
( op(e0,e0) = e0
| sP70_prd
| ~ sP69_prd ),
inference(cnf_transformation,[status(thm)],[f815]) ).
fof(f817,plain,
( op(e0,e0) != e0
| sP70_prd
| ~ sP69_prd ),
inference(cnf_transformation,[status(thm)],[f815]) ).
fof(f818,plain,
( op(e2,e2) = e0
| sP70_prd
| ~ sP69_prd ),
inference(cnf_transformation,[status(thm)],[f815]) ).
fof(f820,plain,
( ~ sP70_prd
| sP69_prd ),
inference(cnf_transformation,[status(thm)],[f815]) ).
fof(f822,definition,
( sP71_prd
<=> ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ),
introduced(definition,[new_symbols(definition,[sP71_prd])],[]) ).
fof(f823,plain,
( sP70_prd
<=> ( ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| sP71_prd ) ),
inference(formula_renaming,[status(thm)],[f813,f822]) ).
fof(f824,plain,
( ( ( ( op(e1,e0) = e1
| op(e1,e1) != e0
| op(e0,e0) = e0
| op(e0,e0) != e0 )
& ~ sP71_prd )
| sP70_prd )
& ( ( op(e1,e0) != e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| sP71_prd
| ~ sP70_prd ) ),
inference(NNF_transformation,[status(thm)],[f823]) ).
fof(f825,plain,
( op(e0,e0) = e0
| sP71_prd
| ~ sP70_prd ),
inference(cnf_transformation,[status(thm)],[f824]) ).
fof(f826,plain,
( op(e0,e0) != e0
| sP71_prd
| ~ sP70_prd ),
inference(cnf_transformation,[status(thm)],[f824]) ).
fof(f827,plain,
( op(e1,e1) = e0
| sP71_prd
| ~ sP70_prd ),
inference(cnf_transformation,[status(thm)],[f824]) ).
fof(f829,plain,
( ~ sP71_prd
| sP70_prd ),
inference(cnf_transformation,[status(thm)],[f824]) ).
fof(f831,plain,
( ( op(e0,e0) = e0
| op(e0,e0) != e0
| op(e0,e0) = e0
| op(e0,e0) != e0
| sP71_prd )
& ( ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ~ sP71_prd ) ),
inference(NNF_transformation,[status(thm)],[f822]) ).
fof(f832,plain,
( op(e0,e0) = e0
| ~ sP71_prd ),
inference(cnf_transformation,[status(thm)],[f831]) ).
fof(f833,plain,
( op(e0,e0) != e0
| ~ sP71_prd ),
inference(cnf_transformation,[status(thm)],[f831]) ).
fof(f837,definition,
( sQ0_spl
<=> op(e0,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f838,plain,
( ~ sQ0_spl
| e0 = op(e0,e0) ),
inference(component_clause,[status(thm)],[f837]) ).
fof(f840,definition,
( sQ1_spl
<=> op(e0,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f841,plain,
( ~ sQ1_spl
| e1 = op(e0,e0) ),
inference(component_clause,[status(thm)],[f840]) ).
fof(f843,definition,
( sQ2_spl
<=> op(e0,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f844,plain,
( ~ sQ2_spl
| op(e0,e0) = e2 ),
inference(component_clause,[status(thm)],[f843]) ).
fof(f846,definition,
( sQ3_spl
<=> op(e0,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f847,plain,
( ~ sQ3_spl
| op(e0,e0) = e3 ),
inference(component_clause,[status(thm)],[f846]) ).
fof(f849,plain,
( sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f30,f837,f840,f843,f846]) ).
fof(f850,definition,
( sQ4_spl
<=> op(e0,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f851,plain,
( ~ sQ4_spl
| op(e0,e1) = e0 ),
inference(component_clause,[status(thm)],[f850]) ).
fof(f853,definition,
( sQ5_spl
<=> op(e0,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f854,plain,
( ~ sQ5_spl
| op(e0,e1) = e1 ),
inference(component_clause,[status(thm)],[f853]) ).
fof(f856,definition,
( sQ6_spl
<=> op(e0,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f857,plain,
( ~ sQ6_spl
| op(e0,e1) = e2 ),
inference(component_clause,[status(thm)],[f856]) ).
fof(f859,definition,
( sQ7_spl
<=> op(e0,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f860,plain,
( ~ sQ7_spl
| op(e0,e1) = e3 ),
inference(component_clause,[status(thm)],[f859]) ).
fof(f862,plain,
( sQ7_spl
| sQ6_spl
| sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f31,f850,f853,f856,f859]) ).
fof(f863,definition,
( sQ8_spl
<=> op(e0,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f864,plain,
( ~ sQ8_spl
| op(e0,e2) = e0 ),
inference(component_clause,[status(thm)],[f863]) ).
fof(f866,definition,
( sQ9_spl
<=> op(e0,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f867,plain,
( ~ sQ9_spl
| e1 = op(e0,e2) ),
inference(component_clause,[status(thm)],[f866]) ).
fof(f868,plain,
( sQ9_spl
| op(e0,e2) != e1 ),
inference(component_clause,[status(thm)],[f866]) ).
fof(f869,definition,
( sQ10_spl
<=> op(e0,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f870,plain,
( ~ sQ10_spl
| op(e0,e2) = e2 ),
inference(component_clause,[status(thm)],[f869]) ).
fof(f872,definition,
( sQ11_spl
<=> op(e0,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f873,plain,
( ~ sQ11_spl
| e3 = op(e0,e2) ),
inference(component_clause,[status(thm)],[f872]) ).
fof(f875,plain,
( sQ11_spl
| sQ10_spl
| sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f32,f863,f866,f869,f872]) ).
fof(f876,definition,
( sQ12_spl
<=> op(e0,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f877,plain,
( ~ sQ12_spl
| e0 = op(e0,e3) ),
inference(component_clause,[status(thm)],[f876]) ).
fof(f879,definition,
( sQ13_spl
<=> op(e0,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f880,plain,
( ~ sQ13_spl
| op(e0,e3) = e1 ),
inference(component_clause,[status(thm)],[f879]) ).
fof(f882,definition,
( sQ14_spl
<=> op(e0,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f883,plain,
( ~ sQ14_spl
| e2 = op(e0,e3) ),
inference(component_clause,[status(thm)],[f882]) ).
fof(f885,definition,
( sQ15_spl
<=> op(e0,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f886,plain,
( ~ sQ15_spl
| e3 = op(e0,e3) ),
inference(component_clause,[status(thm)],[f885]) ).
fof(f888,plain,
( sQ15_spl
| sQ14_spl
| sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f33,f876,f879,f882,f885]) ).
fof(f889,definition,
( sQ16_spl
<=> op(e1,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f890,plain,
( ~ sQ16_spl
| op(e1,e0) = e0 ),
inference(component_clause,[status(thm)],[f889]) ).
fof(f892,definition,
( sQ17_spl
<=> op(e1,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f893,plain,
( ~ sQ17_spl
| e1 = op(e1,e0) ),
inference(component_clause,[status(thm)],[f892]) ).
fof(f895,definition,
( sQ18_spl
<=> op(e1,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f896,plain,
( ~ sQ18_spl
| e2 = op(e1,e0) ),
inference(component_clause,[status(thm)],[f895]) ).
fof(f897,plain,
( sQ18_spl
| e2 != op(e1,e0) ),
inference(component_clause,[status(thm)],[f895]) ).
fof(f898,definition,
( sQ19_spl
<=> op(e1,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f899,plain,
( ~ sQ19_spl
| op(e1,e0) = e3 ),
inference(component_clause,[status(thm)],[f898]) ).
fof(f901,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f34,f889,f892,f895,f898]) ).
fof(f902,definition,
( sQ20_spl
<=> op(e1,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f903,plain,
( ~ sQ20_spl
| op(e1,e1) = e0 ),
inference(component_clause,[status(thm)],[f902]) ).
fof(f905,definition,
( sQ21_spl
<=> op(e1,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f906,plain,
( ~ sQ21_spl
| e1 = op(e1,e1) ),
inference(component_clause,[status(thm)],[f905]) ).
fof(f908,definition,
( sQ22_spl
<=> op(e1,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f909,plain,
( ~ sQ22_spl
| e2 = op(e1,e1) ),
inference(component_clause,[status(thm)],[f908]) ).
fof(f910,plain,
( sQ22_spl
| e2 != op(e1,e1) ),
inference(component_clause,[status(thm)],[f908]) ).
fof(f911,definition,
( sQ23_spl
<=> op(e1,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f912,plain,
( ~ sQ23_spl
| e3 = op(e1,e1) ),
inference(component_clause,[status(thm)],[f911]) ).
fof(f914,plain,
( sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f35,f902,f905,f908,f911]) ).
fof(f915,definition,
( sQ24_spl
<=> op(e1,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f916,plain,
( ~ sQ24_spl
| op(e1,e2) = e0 ),
inference(component_clause,[status(thm)],[f915]) ).
fof(f918,definition,
( sQ25_spl
<=> op(e1,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f919,plain,
( ~ sQ25_spl
| e1 = op(e1,e2) ),
inference(component_clause,[status(thm)],[f918]) ).
fof(f921,definition,
( sQ26_spl
<=> op(e1,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f922,plain,
( ~ sQ26_spl
| e2 = op(e1,e2) ),
inference(component_clause,[status(thm)],[f921]) ).
fof(f924,definition,
( sQ27_spl
<=> op(e1,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f925,plain,
( ~ sQ27_spl
| op(e1,e2) = e3 ),
inference(component_clause,[status(thm)],[f924]) ).
fof(f927,plain,
( sQ27_spl
| sQ26_spl
| sQ25_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f36,f915,f918,f921,f924]) ).
fof(f928,definition,
( sQ28_spl
<=> op(e1,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f929,plain,
( ~ sQ28_spl
| op(e1,e3) = e0 ),
inference(component_clause,[status(thm)],[f928]) ).
fof(f931,definition,
( sQ29_spl
<=> op(e1,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f932,plain,
( ~ sQ29_spl
| op(e1,e3) = e1 ),
inference(component_clause,[status(thm)],[f931]) ).
fof(f933,plain,
( sQ29_spl
| op(e1,e3) != e1 ),
inference(component_clause,[status(thm)],[f931]) ).
fof(f934,definition,
( sQ30_spl
<=> op(e1,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f935,plain,
( ~ sQ30_spl
| op(e1,e3) = e2 ),
inference(component_clause,[status(thm)],[f934]) ).
fof(f937,definition,
( sQ31_spl
<=> op(e1,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f938,plain,
( ~ sQ31_spl
| op(e1,e3) = e3 ),
inference(component_clause,[status(thm)],[f937]) ).
fof(f940,plain,
( sQ31_spl
| sQ30_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f37,f928,f931,f934,f937]) ).
fof(f941,definition,
( sQ32_spl
<=> op(e2,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f942,plain,
( ~ sQ32_spl
| op(e2,e0) = e0 ),
inference(component_clause,[status(thm)],[f941]) ).
fof(f944,definition,
( sQ33_spl
<=> op(e2,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f945,plain,
( ~ sQ33_spl
| op(e2,e0) = e1 ),
inference(component_clause,[status(thm)],[f944]) ).
fof(f947,definition,
( sQ34_spl
<=> op(e2,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f950,definition,
( sQ35_spl
<=> op(e2,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f951,plain,
( ~ sQ35_spl
| e3 = op(e2,e0) ),
inference(component_clause,[status(thm)],[f950]) ).
fof(f953,plain,
( sQ35_spl
| sQ34_spl
| sQ33_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f38,f941,f944,f947,f950]) ).
fof(f954,definition,
( sQ36_spl
<=> op(e2,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f955,plain,
( ~ sQ36_spl
| e0 = op(e2,e1) ),
inference(component_clause,[status(thm)],[f954]) ).
fof(f957,definition,
( sQ37_spl
<=> op(e2,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f958,plain,
( ~ sQ37_spl
| e1 = op(e2,e1) ),
inference(component_clause,[status(thm)],[f957]) ).
fof(f960,definition,
( sQ38_spl
<=> op(e2,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f961,plain,
( ~ sQ38_spl
| e2 = op(e2,e1) ),
inference(component_clause,[status(thm)],[f960]) ).
fof(f962,plain,
( sQ38_spl
| op(e2,e1) != e2 ),
inference(component_clause,[status(thm)],[f960]) ).
fof(f963,definition,
( sQ39_spl
<=> op(e2,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f964,plain,
( ~ sQ39_spl
| e3 = op(e2,e1) ),
inference(component_clause,[status(thm)],[f963]) ).
fof(f966,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f39,f954,f957,f960,f963]) ).
fof(f967,definition,
( sQ40_spl
<=> op(e2,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f968,plain,
( ~ sQ40_spl
| op(e2,e2) = e0 ),
inference(component_clause,[status(thm)],[f967]) ).
fof(f970,definition,
( sQ41_spl
<=> op(e2,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f971,plain,
( ~ sQ41_spl
| op(e2,e2) = e1 ),
inference(component_clause,[status(thm)],[f970]) ).
fof(f973,definition,
( sQ42_spl
<=> op(e2,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f974,plain,
( ~ sQ42_spl
| op(e2,e2) = e2 ),
inference(component_clause,[status(thm)],[f973]) ).
fof(f976,definition,
( sQ43_spl
<=> op(e2,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f977,plain,
( ~ sQ43_spl
| e3 = op(e2,e2) ),
inference(component_clause,[status(thm)],[f976]) ).
fof(f979,plain,
( sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f40,f967,f970,f973,f976]) ).
fof(f980,definition,
( sQ44_spl
<=> op(e2,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f981,plain,
( ~ sQ44_spl
| e0 = op(e2,e3) ),
inference(component_clause,[status(thm)],[f980]) ).
fof(f983,definition,
( sQ45_spl
<=> op(e2,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f984,plain,
( ~ sQ45_spl
| op(e2,e3) = e1 ),
inference(component_clause,[status(thm)],[f983]) ).
fof(f986,definition,
( sQ46_spl
<=> op(e2,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f987,plain,
( ~ sQ46_spl
| op(e2,e3) = e2 ),
inference(component_clause,[status(thm)],[f986]) ).
fof(f989,definition,
( sQ47_spl
<=> op(e2,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f990,plain,
( ~ sQ47_spl
| e3 = op(e2,e3) ),
inference(component_clause,[status(thm)],[f989]) ).
fof(f992,plain,
( sQ47_spl
| sQ46_spl
| sQ45_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f41,f980,f983,f986,f989]) ).
fof(f993,definition,
( sQ48_spl
<=> op(e3,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f994,plain,
( ~ sQ48_spl
| op(e3,e0) = e0 ),
inference(component_clause,[status(thm)],[f993]) ).
fof(f996,definition,
( sQ49_spl
<=> op(e3,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f997,plain,
( ~ sQ49_spl
| op(e3,e0) = e1 ),
inference(component_clause,[status(thm)],[f996]) ).
fof(f999,definition,
( sQ50_spl
<=> op(e3,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f1000,plain,
( ~ sQ50_spl
| op(e3,e0) = e2 ),
inference(component_clause,[status(thm)],[f999]) ).
fof(f1002,definition,
( sQ51_spl
<=> op(e3,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f1003,plain,
( ~ sQ51_spl
| e3 = op(e3,e0) ),
inference(component_clause,[status(thm)],[f1002]) ).
fof(f1005,plain,
( sQ51_spl
| sQ50_spl
| sQ49_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f42,f993,f996,f999,f1002]) ).
fof(f1006,definition,
( sQ52_spl
<=> op(e3,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f1007,plain,
( ~ sQ52_spl
| op(e3,e1) = e0 ),
inference(component_clause,[status(thm)],[f1006]) ).
fof(f1009,definition,
( sQ53_spl
<=> op(e3,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f1010,plain,
( ~ sQ53_spl
| e1 = op(e3,e1) ),
inference(component_clause,[status(thm)],[f1009]) ).
fof(f1012,definition,
( sQ54_spl
<=> op(e3,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f1013,plain,
( ~ sQ54_spl
| op(e3,e1) = e2 ),
inference(component_clause,[status(thm)],[f1012]) ).
fof(f1014,plain,
( sQ54_spl
| e2 != op(e3,e1) ),
inference(component_clause,[status(thm)],[f1012]) ).
fof(f1015,definition,
( sQ55_spl
<=> op(e3,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f1016,plain,
( ~ sQ55_spl
| op(e3,e1) = e3 ),
inference(component_clause,[status(thm)],[f1015]) ).
fof(f1018,plain,
( sQ55_spl
| sQ54_spl
| sQ53_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f43,f1006,f1009,f1012,f1015]) ).
fof(f1019,definition,
( sQ56_spl
<=> op(e3,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f1020,plain,
( ~ sQ56_spl
| e0 = op(e3,e2) ),
inference(component_clause,[status(thm)],[f1019]) ).
fof(f1022,definition,
( sQ57_spl
<=> op(e3,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f1023,plain,
( ~ sQ57_spl
| e1 = op(e3,e2) ),
inference(component_clause,[status(thm)],[f1022]) ).
fof(f1025,definition,
( sQ58_spl
<=> op(e3,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f1026,plain,
( ~ sQ58_spl
| op(e3,e2) = e2 ),
inference(component_clause,[status(thm)],[f1025]) ).
fof(f1028,definition,
( sQ59_spl
<=> op(e3,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f1029,plain,
( ~ sQ59_spl
| e3 = op(e3,e2) ),
inference(component_clause,[status(thm)],[f1028]) ).
fof(f1031,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f44,f1019,f1022,f1025,f1028]) ).
fof(f1032,definition,
( sQ60_spl
<=> op(e3,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f1033,plain,
( ~ sQ60_spl
| op(e3,e3) = e0 ),
inference(component_clause,[status(thm)],[f1032]) ).
fof(f1035,definition,
( sQ61_spl
<=> op(e3,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f1036,plain,
( ~ sQ61_spl
| e1 = op(e3,e3) ),
inference(component_clause,[status(thm)],[f1035]) ).
fof(f1038,definition,
( sQ62_spl
<=> op(e3,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f1039,plain,
( ~ sQ62_spl
| e2 = op(e3,e3) ),
inference(component_clause,[status(thm)],[f1038]) ).
fof(f1041,definition,
( sQ63_spl
<=> op(e3,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f1042,plain,
( ~ sQ63_spl
| e3 = op(e3,e3) ),
inference(component_clause,[status(thm)],[f1041]) ).
fof(f1044,plain,
( sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f45,f1032,f1035,f1038,f1041]) ).
fof(f1045,plain,
( sQ12_spl
| sQ8_spl
| sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f46,f837,f850,f863,f876]) ).
fof(f1046,plain,
( sQ48_spl
| sQ32_spl
| sQ16_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f47,f837,f889,f941,f993]) ).
fof(f1047,plain,
( sQ13_spl
| sQ9_spl
| sQ5_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f48,f840,f853,f866,f879]) ).
fof(f1048,plain,
( sQ49_spl
| sQ33_spl
| sQ17_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f49,f840,f892,f944,f996]) ).
fof(f1049,plain,
( sQ14_spl
| sQ10_spl
| sQ6_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f50,f843,f856,f869,f882]) ).
fof(f1050,plain,
( sQ50_spl
| sQ34_spl
| sQ18_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f51,f843,f895,f947,f999]) ).
fof(f1051,plain,
( sQ15_spl
| sQ11_spl
| sQ7_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f52,f846,f859,f872,f885]) ).
fof(f1052,plain,
( sQ51_spl
| sQ35_spl
| sQ19_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f53,f846,f898,f950,f1002]) ).
fof(f1053,plain,
( sQ28_spl
| sQ24_spl
| sQ20_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f54,f889,f902,f915,f928]) ).
fof(f1054,plain,
( sQ52_spl
| sQ36_spl
| sQ20_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f55,f850,f902,f954,f1006]) ).
fof(f1055,plain,
( sQ29_spl
| sQ25_spl
| sQ21_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f56,f892,f905,f918,f931]) ).
fof(f1056,plain,
( sQ53_spl
| sQ37_spl
| sQ21_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f57,f853,f905,f957,f1009]) ).
fof(f1057,plain,
( sQ30_spl
| sQ26_spl
| sQ22_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f58,f895,f908,f921,f934]) ).
fof(f1058,plain,
( sQ54_spl
| sQ38_spl
| sQ22_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f59,f856,f908,f960,f1012]) ).
fof(f1059,plain,
( sQ31_spl
| sQ27_spl
| sQ23_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f60,f898,f911,f924,f937]) ).
fof(f1060,plain,
( sQ55_spl
| sQ39_spl
| sQ23_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f61,f859,f911,f963,f1015]) ).
fof(f1061,plain,
( sQ44_spl
| sQ40_spl
| sQ36_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f62,f941,f954,f967,f980]) ).
fof(f1062,plain,
( sQ56_spl
| sQ40_spl
| sQ24_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f63,f863,f915,f967,f1019]) ).
fof(f1063,plain,
( sQ45_spl
| sQ41_spl
| sQ37_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f64,f944,f957,f970,f983]) ).
fof(f1064,plain,
( sQ57_spl
| sQ41_spl
| sQ25_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f65,f866,f918,f970,f1022]) ).
fof(f1065,plain,
( sQ46_spl
| sQ42_spl
| sQ38_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f66,f947,f960,f973,f986]) ).
fof(f1066,plain,
( sQ58_spl
| sQ42_spl
| sQ26_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f67,f869,f921,f973,f1025]) ).
fof(f1067,plain,
( sQ47_spl
| sQ43_spl
| sQ39_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f68,f950,f963,f976,f989]) ).
fof(f1068,plain,
( sQ59_spl
| sQ43_spl
| sQ27_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f69,f872,f924,f976,f1028]) ).
fof(f1069,plain,
( sQ60_spl
| sQ56_spl
| sQ52_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f70,f993,f1006,f1019,f1032]) ).
fof(f1070,plain,
( sQ60_spl
| sQ44_spl
| sQ28_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f71,f876,f928,f980,f1032]) ).
fof(f1071,plain,
( sQ61_spl
| sQ57_spl
| sQ53_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f72,f996,f1009,f1022,f1035]) ).
fof(f1072,plain,
( sQ61_spl
| sQ45_spl
| sQ29_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f73,f879,f931,f983,f1035]) ).
fof(f1073,plain,
( sQ62_spl
| sQ58_spl
| sQ54_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f74,f999,f1012,f1025,f1038]) ).
fof(f1074,plain,
( sQ62_spl
| sQ46_spl
| sQ30_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f75,f882,f934,f986,f1038]) ).
fof(f1075,plain,
( sQ63_spl
| sQ59_spl
| sQ55_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f76,f1002,f1015,f1028,f1041]) ).
fof(f1076,plain,
( sQ63_spl
| sQ47_spl
| sQ31_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f77,f885,f937,f989,f1041]) ).
fof(f1077,definition,
( sQ64_spl
<=> sP0_prd ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f1080,plain,
( sQ63_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f135,f1077,f1041]) ).
fof(f1081,plain,
( ~ sQ63_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f136,f1077,f1041]) ).
fof(f1084,definition,
( sQ65_spl
<=> sP1_prd ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f1087,definition,
( sQ66_spl
<=> op(e3,op(e3,e0)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f1088,plain,
( ~ sQ66_spl
| e0 = op(e3,op(e3,e0)) ),
inference(component_clause,[status(thm)],[f1087]) ).
fof(f1090,plain,
( sQ66_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f139,f1084,f1087]) ).
fof(f1091,definition,
( sQ67_spl
<=> op(e3,op(e3,e1)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f1092,plain,
( ~ sQ67_spl
| e1 = op(e3,op(e3,e1)) ),
inference(component_clause,[status(thm)],[f1091]) ).
fof(f1094,plain,
( sQ67_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f140,f1084,f1091]) ).
fof(f1095,definition,
( sQ68_spl
<=> op(e3,op(e3,e2)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f1096,plain,
( ~ sQ68_spl
| op(e3,op(e3,e2)) = e2 ),
inference(component_clause,[status(thm)],[f1095]) ).
fof(f1098,plain,
( sQ68_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f141,f1084,f1095]) ).
fof(f1099,definition,
( sQ69_spl
<=> op(e3,op(e3,e3)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f1100,plain,
( ~ sQ69_spl
| op(e3,op(e3,e3)) = e3 ),
inference(component_clause,[status(thm)],[f1099]) ).
fof(f1102,plain,
( sQ69_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f142,f1084,f1099]) ).
fof(f1103,plain,
( sQ12_spl
| ~ sQ3_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f143,f1084,f846,f876]) ).
fof(f1104,plain,
( sQ29_spl
| ~ sQ23_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f144,f1084,f911,f931]) ).
fof(f1105,plain,
( sQ46_spl
| ~ sQ43_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f145,f1084,f976,f986]) ).
fof(f1107,definition,
( sQ70_spl
<=> e1 = op(op(e0,e0),op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f1109,plain,
( sQ70_spl
| op(op(e0,e0),op(e0,e0)) != e1 ),
inference(component_clause,[status(thm)],[f1107]) ).
fof(f1110,definition,
( sQ71_spl
<=> e2 = op(op(e0,e0),e0) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f1112,plain,
( sQ71_spl
| op(op(e0,e0),e0) != e2 ),
inference(component_clause,[status(thm)],[f1110]) ).
fof(f1113,plain,
( ~ sQ3_spl
| ~ sQ71_spl
| ~ sQ70_spl ),
inference(split_clause,[status(thm)],[f148,f1107,f1110,f846]) ).
fof(f1114,definition,
( sQ72_spl
<=> e3 = op(op(e0,e0),e0) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f1116,plain,
( sQ72_spl
| e3 != op(op(e0,e0),e0) ),
inference(component_clause,[status(thm)],[f1114]) ).
fof(f1117,plain,
( ~ sQ2_spl
| ~ sQ72_spl
| ~ sQ70_spl ),
inference(split_clause,[status(thm)],[f150,f1107,f1114,f843]) ).
fof(f1118,definition,
( sQ73_spl
<=> e2 = op(op(e0,e0),op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f1120,plain,
( sQ73_spl
| e2 != op(op(e0,e0),op(e0,e0)) ),
inference(component_clause,[status(thm)],[f1118]) ).
fof(f1121,definition,
( sQ74_spl
<=> e1 = op(op(e0,e0),e0) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f1122,plain,
( ~ sQ74_spl
| e1 = op(op(e0,e0),e0) ),
inference(component_clause,[status(thm)],[f1121]) ).
fof(f1123,plain,
( sQ74_spl
| e1 != op(op(e0,e0),e0) ),
inference(component_clause,[status(thm)],[f1121]) ).
fof(f1124,plain,
( ~ sQ3_spl
| ~ sQ74_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f152,f1118,f1121,f846]) ).
fof(f1125,plain,
( ~ sQ1_spl
| ~ sQ72_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f154,f1118,f1114,f840]) ).
fof(f1126,definition,
( sQ75_spl
<=> e3 = op(op(e0,e0),op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f1128,plain,
( sQ75_spl
| e3 != op(op(e0,e0),op(e0,e0)) ),
inference(component_clause,[status(thm)],[f1126]) ).
fof(f1129,plain,
( ~ sQ2_spl
| ~ sQ74_spl
| ~ sQ75_spl ),
inference(split_clause,[status(thm)],[f156,f1126,f1121,f843]) ).
fof(f1130,plain,
( ~ sQ1_spl
| ~ sQ71_spl
| ~ sQ75_spl ),
inference(split_clause,[status(thm)],[f158,f1126,f1110,f840]) ).
fof(f1131,definition,
( sQ76_spl
<=> e0 = op(op(e1,e1),op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f1133,plain,
( sQ76_spl
| e0 != op(op(e1,e1),op(e1,e1)) ),
inference(component_clause,[status(thm)],[f1131]) ).
fof(f1134,definition,
( sQ77_spl
<=> e2 = op(op(e1,e1),e1) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f1136,plain,
( sQ77_spl
| e2 != op(op(e1,e1),e1) ),
inference(component_clause,[status(thm)],[f1134]) ).
fof(f1137,plain,
( ~ sQ23_spl
| ~ sQ77_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f160,f1131,f1134,f911]) ).
fof(f1138,definition,
( sQ78_spl
<=> e3 = op(op(e1,e1),e1) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f1140,plain,
( sQ78_spl
| e3 != op(op(e1,e1),e1) ),
inference(component_clause,[status(thm)],[f1138]) ).
fof(f1141,plain,
( ~ sQ22_spl
| ~ sQ78_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f162,f1131,f1138,f908]) ).
fof(f1142,definition,
( sQ79_spl
<=> e2 = op(op(e1,e1),op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f1144,plain,
( sQ79_spl
| e2 != op(op(e1,e1),op(e1,e1)) ),
inference(component_clause,[status(thm)],[f1142]) ).
fof(f1145,definition,
( sQ80_spl
<=> e0 = op(op(e1,e1),e1) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f1147,plain,
( sQ80_spl
| op(op(e1,e1),e1) != e0 ),
inference(component_clause,[status(thm)],[f1145]) ).
fof(f1148,plain,
( ~ sQ23_spl
| ~ sQ80_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f164,f1142,f1145,f911]) ).
fof(f1149,plain,
( ~ sQ20_spl
| ~ sQ78_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f166,f1142,f1138,f902]) ).
fof(f1150,definition,
( sQ81_spl
<=> e3 = op(op(e1,e1),op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f1152,plain,
( sQ81_spl
| e3 != op(op(e1,e1),op(e1,e1)) ),
inference(component_clause,[status(thm)],[f1150]) ).
fof(f1153,plain,
( ~ sQ22_spl
| ~ sQ80_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f168,f1150,f1145,f908]) ).
fof(f1154,plain,
( ~ sQ20_spl
| ~ sQ77_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f170,f1150,f1134,f902]) ).
fof(f1155,definition,
( sQ82_spl
<=> e0 = op(op(e2,e2),op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f1157,plain,
( sQ82_spl
| e0 != op(op(e2,e2),op(e2,e2)) ),
inference(component_clause,[status(thm)],[f1155]) ).
fof(f1158,definition,
( sQ83_spl
<=> e1 = op(op(e2,e2),e2) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f1160,plain,
( sQ83_spl
| e1 != op(op(e2,e2),e2) ),
inference(component_clause,[status(thm)],[f1158]) ).
fof(f1161,plain,
( ~ sQ43_spl
| ~ sQ83_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f172,f1155,f1158,f976]) ).
fof(f1162,definition,
( sQ84_spl
<=> e3 = op(op(e2,e2),e2) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f1164,plain,
( sQ84_spl
| op(op(e2,e2),e2) != e3 ),
inference(component_clause,[status(thm)],[f1162]) ).
fof(f1165,plain,
( ~ sQ41_spl
| ~ sQ84_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f174,f1155,f1162,f970]) ).
fof(f1166,definition,
( sQ85_spl
<=> e1 = op(op(e2,e2),op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f1168,plain,
( sQ85_spl
| e1 != op(op(e2,e2),op(e2,e2)) ),
inference(component_clause,[status(thm)],[f1166]) ).
fof(f1169,definition,
( sQ86_spl
<=> e0 = op(op(e2,e2),e2) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f1171,plain,
( sQ86_spl
| op(op(e2,e2),e2) != e0 ),
inference(component_clause,[status(thm)],[f1169]) ).
fof(f1172,plain,
( ~ sQ43_spl
| ~ sQ86_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f176,f1166,f1169,f976]) ).
fof(f1173,plain,
( ~ sQ40_spl
| ~ sQ84_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f178,f1166,f1162,f967]) ).
fof(f1174,definition,
( sQ87_spl
<=> e3 = op(op(e2,e2),op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f1176,plain,
( sQ87_spl
| op(op(e2,e2),op(e2,e2)) != e3 ),
inference(component_clause,[status(thm)],[f1174]) ).
fof(f1177,plain,
( ~ sQ41_spl
| ~ sQ86_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f180,f1174,f1169,f970]) ).
fof(f1178,plain,
( ~ sQ40_spl
| ~ sQ83_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f182,f1174,f1158,f967]) ).
fof(f1179,definition,
( sQ88_spl
<=> e0 = op(op(e3,e3),op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f1181,plain,
( sQ88_spl
| op(op(e3,e3),op(e3,e3)) != e0 ),
inference(component_clause,[status(thm)],[f1179]) ).
fof(f1182,definition,
( sQ89_spl
<=> e1 = op(op(e3,e3),e3) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f1184,plain,
( sQ89_spl
| e1 != op(op(e3,e3),e3) ),
inference(component_clause,[status(thm)],[f1182]) ).
fof(f1185,plain,
( ~ sQ62_spl
| ~ sQ89_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f184,f1179,f1182,f1038]) ).
fof(f1186,definition,
( sQ90_spl
<=> e2 = op(op(e3,e3),e3) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f1188,plain,
( sQ90_spl
| e2 != op(op(e3,e3),e3) ),
inference(component_clause,[status(thm)],[f1186]) ).
fof(f1189,plain,
( ~ sQ61_spl
| ~ sQ90_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f186,f1179,f1186,f1035]) ).
fof(f1190,definition,
( sQ91_spl
<=> e1 = op(op(e3,e3),op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f1192,plain,
( sQ91_spl
| op(op(e3,e3),op(e3,e3)) != e1 ),
inference(component_clause,[status(thm)],[f1190]) ).
fof(f1193,definition,
( sQ92_spl
<=> e0 = op(op(e3,e3),e3) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f1195,plain,
( sQ92_spl
| op(op(e3,e3),e3) != e0 ),
inference(component_clause,[status(thm)],[f1193]) ).
fof(f1196,plain,
( ~ sQ62_spl
| ~ sQ92_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f188,f1190,f1193,f1038]) ).
fof(f1197,plain,
( ~ sQ60_spl
| ~ sQ90_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f190,f1190,f1186,f1032]) ).
fof(f1198,definition,
( sQ93_spl
<=> e2 = op(op(e3,e3),op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f1199,plain,
( ~ sQ93_spl
| e2 = op(op(e3,e3),op(e3,e3)) ),
inference(component_clause,[status(thm)],[f1198]) ).
fof(f1200,plain,
( sQ93_spl
| e2 != op(op(e3,e3),op(e3,e3)) ),
inference(component_clause,[status(thm)],[f1198]) ).
fof(f1201,plain,
( ~ sQ61_spl
| ~ sQ92_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f192,f1198,f1193,f1035]) ).
fof(f1202,plain,
( ~ sQ60_spl
| ~ sQ89_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f194,f1198,f1182,f1032]) ).
fof(f1203,definition,
( sQ94_spl
<=> sP2_prd ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f1206,plain,
( sQ63_spl
| sQ94_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f198,f1077,f1203,f1041]) ).
fof(f1207,plain,
( ~ sQ63_spl
| sQ94_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f199,f1077,f1203,f1041]) ).
fof(f1210,plain,
( ~ sQ94_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f202,f1077,f1203]) ).
fof(f1212,definition,
( sQ95_spl
<=> sP3_prd ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f1215,definition,
( sQ96_spl
<=> op(e2,op(e2,e0)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f1216,plain,
( ~ sQ96_spl
| op(e2,op(e2,e0)) = e0 ),
inference(component_clause,[status(thm)],[f1215]) ).
fof(f1217,plain,
( sQ96_spl
| e0 != op(e2,op(e2,e0)) ),
inference(component_clause,[status(thm)],[f1215]) ).
fof(f1218,plain,
( sQ96_spl
| sQ95_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f210,f1084,f1212,f1215]) ).
fof(f1219,definition,
( sQ97_spl
<=> op(e2,op(e2,e1)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f1222,plain,
( sQ97_spl
| sQ95_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f211,f1084,f1212,f1219]) ).
fof(f1223,definition,
( sQ98_spl
<=> op(e2,op(e2,e2)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f1224,plain,
( ~ sQ98_spl
| e2 = op(e2,op(e2,e2)) ),
inference(component_clause,[status(thm)],[f1223]) ).
fof(f1225,plain,
( sQ98_spl
| op(e2,op(e2,e2)) != e2 ),
inference(component_clause,[status(thm)],[f1223]) ).
fof(f1226,plain,
( sQ98_spl
| sQ95_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f212,f1084,f1212,f1223]) ).
fof(f1227,definition,
( sQ99_spl
<=> op(e2,op(e2,e3)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f1228,plain,
( ~ sQ99_spl
| op(e2,op(e2,e3)) = e3 ),
inference(component_clause,[status(thm)],[f1227]) ).
fof(f1229,plain,
( sQ99_spl
| op(e2,op(e2,e3)) != e3 ),
inference(component_clause,[status(thm)],[f1227]) ).
fof(f1230,plain,
( sQ99_spl
| sQ95_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f213,f1084,f1212,f1227]) ).
fof(f1231,definition,
( sQ100_spl
<=> sP4_prd ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f1234,plain,
( sQ100_spl
| sQ95_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f214,f1084,f1212,f1231]) ).
fof(f1235,definition,
( sQ101_spl
<=> sP5_prd ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f1238,plain,
( sQ101_spl
| sQ95_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f215,f1084,f1212,f1235]) ).
fof(f1240,plain,
( sQ59_spl
| ~ sQ62_spl
| sQ95_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f217,f1084,f1212,f1038,f1028]) ).
fof(f1241,plain,
( ~ sQ95_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f218,f1084,f1212]) ).
fof(f1246,definition,
( sQ102_spl
<=> sP6_prd ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f1249,plain,
( sQ63_spl
| sQ102_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f226,f1203,f1246,f1041]) ).
fof(f1250,plain,
( ~ sQ63_spl
| sQ102_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f227,f1203,f1246,f1041]) ).
fof(f1253,plain,
( ~ sQ102_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f230,f1203,f1246]) ).
fof(f1255,definition,
( sQ103_spl
<=> sP7_prd ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f1258,definition,
( sQ104_spl
<=> op(e1,op(e1,e0)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f1261,plain,
( sQ104_spl
| sQ103_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f238,f1212,f1255,f1258]) ).
fof(f1262,definition,
( sQ105_spl
<=> op(e1,op(e1,e1)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f1263,plain,
( ~ sQ105_spl
| op(e1,op(e1,e1)) = e1 ),
inference(component_clause,[status(thm)],[f1262]) ).
fof(f1265,plain,
( sQ105_spl
| sQ103_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f239,f1212,f1255,f1262]) ).
fof(f1266,definition,
( sQ106_spl
<=> op(e1,op(e1,e2)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f1267,plain,
( ~ sQ106_spl
| e2 = op(e1,op(e1,e2)) ),
inference(component_clause,[status(thm)],[f1266]) ).
fof(f1269,plain,
( sQ106_spl
| sQ103_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f240,f1212,f1255,f1266]) ).
fof(f1270,definition,
( sQ107_spl
<=> op(e1,op(e1,e3)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f1271,plain,
( ~ sQ107_spl
| op(e1,op(e1,e3)) = e3 ),
inference(component_clause,[status(thm)],[f1270]) ).
fof(f1272,plain,
( sQ107_spl
| op(e1,op(e1,e3)) != e3 ),
inference(component_clause,[status(thm)],[f1270]) ).
fof(f1273,plain,
( sQ107_spl
| sQ103_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f241,f1212,f1255,f1270]) ).
fof(f1274,definition,
( sQ108_spl
<=> sP8_prd ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f1277,plain,
( sQ108_spl
| sQ103_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f242,f1212,f1255,f1274]) ).
fof(f1278,definition,
( sQ109_spl
<=> sP9_prd ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f1281,plain,
( sQ109_spl
| sQ103_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f243,f1212,f1255,f1278]) ).
fof(f1282,plain,
( sQ38_spl
| ~ sQ41_spl
| sQ103_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f244,f1212,f1255,f970,f960]) ).
fof(f1283,plain,
( sQ55_spl
| ~ sQ61_spl
| sQ103_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f245,f1212,f1255,f1035,f1015]) ).
fof(f1284,plain,
( ~ sQ103_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f246,f1212,f1255]) ).
fof(f1289,plain,
( sQ8_spl
| ~ sQ2_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f252,f1231,f843,f863]) ).
fof(f1290,plain,
( sQ2_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f253,f1231,f843]) ).
fof(f1291,plain,
( ~ sQ8_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f254,f1231,f863]) ).
fof(f1292,plain,
( sQ25_spl
| ~ sQ22_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f256,f1235,f908,f918]) ).
fof(f1293,plain,
( sQ22_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f257,f1235,f908]) ).
fof(f1294,plain,
( ~ sQ25_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f258,f1235,f918]) ).
fof(f1295,definition,
( sQ110_spl
<=> sP10_prd ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f1298,plain,
( sQ63_spl
| sQ110_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f262,f1246,f1295,f1041]) ).
fof(f1299,plain,
( ~ sQ63_spl
| sQ110_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f263,f1246,f1295,f1041]) ).
fof(f1300,plain,
( sQ3_spl
| sQ110_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f264,f1246,f1295,f846]) ).
fof(f1302,plain,
( ~ sQ110_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f266,f1246,f1295]) ).
fof(f1304,definition,
( sQ111_spl
<=> op(e0,op(e0,e0)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f1305,plain,
( ~ sQ111_spl
| op(e0,op(e0,e0)) = e0 ),
inference(component_clause,[status(thm)],[f1304]) ).
fof(f1306,plain,
( sQ111_spl
| e0 != op(e0,op(e0,e0)) ),
inference(component_clause,[status(thm)],[f1304]) ).
fof(f1307,plain,
( sQ111_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f272,f1255,f1304]) ).
fof(f1308,definition,
( sQ112_spl
<=> op(e0,op(e0,e1)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f1309,plain,
( ~ sQ112_spl
| op(e0,op(e0,e1)) = e1 ),
inference(component_clause,[status(thm)],[f1308]) ).
fof(f1311,plain,
( sQ112_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f273,f1255,f1308]) ).
fof(f1312,definition,
( sQ113_spl
<=> op(e0,op(e0,e2)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f1313,plain,
( ~ sQ113_spl
| e2 = op(e0,op(e0,e2)) ),
inference(component_clause,[status(thm)],[f1312]) ).
fof(f1315,plain,
( sQ113_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f274,f1255,f1312]) ).
fof(f1316,definition,
( sQ114_spl
<=> op(e0,op(e0,e3)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f1317,plain,
( ~ sQ114_spl
| op(e0,op(e0,e3)) = e3 ),
inference(component_clause,[status(thm)],[f1316]) ).
fof(f1319,plain,
( sQ114_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f275,f1255,f1316]) ).
fof(f1320,definition,
( sQ115_spl
<=> sP11_prd ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f1323,plain,
( sQ115_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f276,f1255,f1320]) ).
fof(f1324,definition,
( sQ116_spl
<=> sP12_prd ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f1327,plain,
( sQ116_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f277,f1255,f1324]) ).
fof(f1328,plain,
( sQ34_spl
| ~ sQ40_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f278,f1255,f967,f947]) ).
fof(f1329,plain,
( sQ51_spl
| ~ sQ60_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f279,f1255,f1032,f1002]) ).
fof(f1334,plain,
( sQ4_spl
| ~ sQ1_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f285,f1274,f840,f850]) ).
fof(f1335,plain,
( sQ1_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f286,f1274,f840]) ).
fof(f1336,plain,
( ~ sQ4_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f287,f1274,f850]) ).
fof(f1338,plain,
( sQ21_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f290,f1278,f905]) ).
fof(f1339,plain,
( ~ sQ21_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f291,f1278,f905]) ).
fof(f1340,definition,
( sQ117_spl
<=> sP13_prd ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f1343,plain,
( sQ59_spl
| sQ117_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f295,f1295,f1340,f1028]) ).
fof(f1346,plain,
( ~ sQ59_spl
| sQ117_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f298,f1295,f1340,f1028]) ).
fof(f1347,plain,
( ~ sQ117_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f299,f1295,f1340]) ).
fof(f1350,plain,
( sQ0_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f303,f1320,f837]) ).
fof(f1351,plain,
( ~ sQ0_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f304,f1320,f837]) ).
fof(f1352,plain,
( sQ17_spl
| ~ sQ20_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f306,f1324,f902,f892]) ).
fof(f1353,plain,
( sQ20_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f307,f1324,f902]) ).
fof(f1354,plain,
( ~ sQ17_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f308,f1324,f892]) ).
fof(f1355,definition,
( sQ118_spl
<=> sP14_prd ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f1358,plain,
( sQ59_spl
| sQ118_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f312,f1340,f1355,f1028]) ).
fof(f1359,plain,
( ~ sQ62_spl
| sQ118_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f313,f1340,f1355,f1038]) ).
fof(f1360,plain,
( sQ42_spl
| sQ118_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f314,f1340,f1355,f973]) ).
fof(f1361,plain,
( ~ sQ42_spl
| sQ118_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f315,f1340,f1355,f973]) ).
fof(f1362,plain,
( ~ sQ118_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f316,f1340,f1355]) ).
fof(f1364,definition,
( sQ119_spl
<=> sP15_prd ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f1367,plain,
( sQ59_spl
| sQ119_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f321,f1355,f1364,f1028]) ).
fof(f1368,plain,
( ~ sQ62_spl
| sQ119_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f322,f1355,f1364,f1038]) ).
fof(f1369,plain,
( sQ22_spl
| sQ119_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f323,f1355,f1364,f908]) ).
fof(f1370,plain,
( ~ sQ25_spl
| sQ119_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f324,f1355,f1364,f918]) ).
fof(f1371,plain,
( ~ sQ119_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f325,f1355,f1364]) ).
fof(f1373,definition,
( sQ120_spl
<=> sP16_prd ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f1376,plain,
( sQ59_spl
| sQ120_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f330,f1364,f1373,f1028]) ).
fof(f1377,plain,
( ~ sQ62_spl
| sQ120_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f331,f1364,f1373,f1038]) ).
fof(f1378,plain,
( sQ2_spl
| sQ120_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f332,f1364,f1373,f843]) ).
fof(f1379,plain,
( ~ sQ8_spl
| sQ120_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f333,f1364,f1373,f863]) ).
fof(f1380,plain,
( ~ sQ120_spl
| sQ119_spl ),
inference(split_clause,[status(thm)],[f334,f1364,f1373]) ).
fof(f1382,definition,
( sQ121_spl
<=> sP17_prd ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f1385,plain,
( sQ55_spl
| sQ121_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f339,f1373,f1382,f1015]) ).
fof(f1388,plain,
( ~ sQ55_spl
| sQ121_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f342,f1373,f1382,f1015]) ).
fof(f1389,plain,
( ~ sQ121_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f343,f1373,f1382]) ).
fof(f1391,definition,
( sQ122_spl
<=> sP18_prd ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f1394,plain,
( sQ55_spl
| sQ122_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f348,f1382,f1391,f1015]) ).
fof(f1395,plain,
( ~ sQ61_spl
| sQ122_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f349,f1382,f1391,f1035]) ).
fof(f1396,plain,
( sQ41_spl
| sQ122_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f350,f1382,f1391,f970]) ).
fof(f1397,plain,
( ~ sQ38_spl
| sQ122_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f351,f1382,f1391,f960]) ).
fof(f1398,plain,
( ~ sQ122_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f352,f1382,f1391]) ).
fof(f1400,definition,
( sQ123_spl
<=> sP19_prd ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f1403,plain,
( sQ55_spl
| sQ123_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f357,f1391,f1400,f1015]) ).
fof(f1404,plain,
( ~ sQ61_spl
| sQ123_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f358,f1391,f1400,f1035]) ).
fof(f1405,plain,
( sQ21_spl
| sQ123_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f359,f1391,f1400,f905]) ).
fof(f1406,plain,
( ~ sQ21_spl
| sQ123_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f360,f1391,f1400,f905]) ).
fof(f1407,plain,
( ~ sQ123_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f361,f1391,f1400]) ).
fof(f1409,definition,
( sQ124_spl
<=> sP20_prd ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f1412,plain,
( sQ55_spl
| sQ124_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f366,f1400,f1409,f1015]) ).
fof(f1413,plain,
( ~ sQ61_spl
| sQ124_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f367,f1400,f1409,f1035]) ).
fof(f1414,plain,
( sQ1_spl
| sQ124_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f368,f1400,f1409,f840]) ).
fof(f1415,plain,
( ~ sQ4_spl
| sQ124_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f369,f1400,f1409,f850]) ).
fof(f1416,plain,
( ~ sQ124_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f370,f1400,f1409]) ).
fof(f1418,definition,
( sQ125_spl
<=> sP21_prd ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f1421,plain,
( sQ51_spl
| sQ125_spl
| ~ sQ124_spl ),
inference(split_clause,[status(thm)],[f375,f1409,f1418,f1002]) ).
fof(f1424,plain,
( ~ sQ51_spl
| sQ125_spl
| ~ sQ124_spl ),
inference(split_clause,[status(thm)],[f378,f1409,f1418,f1002]) ).
fof(f1425,plain,
( ~ sQ125_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f379,f1409,f1418]) ).
fof(f1427,definition,
( sQ126_spl
<=> sP22_prd ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f1430,plain,
( sQ51_spl
| sQ126_spl
| ~ sQ125_spl ),
inference(split_clause,[status(thm)],[f384,f1418,f1427,f1002]) ).
fof(f1431,plain,
( ~ sQ60_spl
| sQ126_spl
| ~ sQ125_spl ),
inference(split_clause,[status(thm)],[f385,f1418,f1427,f1032]) ).
fof(f1432,plain,
( sQ40_spl
| sQ126_spl
| ~ sQ125_spl ),
inference(split_clause,[status(thm)],[f386,f1418,f1427,f967]) ).
fof(f1433,plain,
( ~ sQ34_spl
| sQ126_spl
| ~ sQ125_spl ),
inference(split_clause,[status(thm)],[f387,f1418,f1427,f947]) ).
fof(f1434,plain,
( ~ sQ126_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f388,f1418,f1427]) ).
fof(f1436,definition,
( sQ127_spl
<=> sP23_prd ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f1439,plain,
( sQ51_spl
| sQ127_spl
| ~ sQ126_spl ),
inference(split_clause,[status(thm)],[f393,f1427,f1436,f1002]) ).
fof(f1440,plain,
( ~ sQ60_spl
| sQ127_spl
| ~ sQ126_spl ),
inference(split_clause,[status(thm)],[f394,f1427,f1436,f1032]) ).
fof(f1441,plain,
( sQ20_spl
| sQ127_spl
| ~ sQ126_spl ),
inference(split_clause,[status(thm)],[f395,f1427,f1436,f902]) ).
fof(f1442,plain,
( ~ sQ17_spl
| sQ127_spl
| ~ sQ126_spl ),
inference(split_clause,[status(thm)],[f396,f1427,f1436,f892]) ).
fof(f1443,plain,
( ~ sQ127_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f397,f1427,f1436]) ).
fof(f1445,definition,
( sQ128_spl
<=> sP24_prd ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f1448,plain,
( sQ51_spl
| sQ128_spl
| ~ sQ127_spl ),
inference(split_clause,[status(thm)],[f402,f1436,f1445,f1002]) ).
fof(f1449,plain,
( ~ sQ60_spl
| sQ128_spl
| ~ sQ127_spl ),
inference(split_clause,[status(thm)],[f403,f1436,f1445,f1032]) ).
fof(f1450,plain,
( sQ0_spl
| sQ128_spl
| ~ sQ127_spl ),
inference(split_clause,[status(thm)],[f404,f1436,f1445,f837]) ).
fof(f1451,plain,
( ~ sQ0_spl
| sQ128_spl
| ~ sQ127_spl ),
inference(split_clause,[status(thm)],[f405,f1436,f1445,f837]) ).
fof(f1452,plain,
( ~ sQ128_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f406,f1436,f1445]) ).
fof(f1454,definition,
( sQ129_spl
<=> sP25_prd ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f1457,plain,
( sQ46_spl
| sQ129_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f411,f1445,f1454,f986]) ).
fof(f1458,plain,
( ~ sQ43_spl
| sQ129_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f412,f1445,f1454,f976]) ).
fof(f1459,plain,
( sQ63_spl
| sQ129_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f413,f1445,f1454,f1041]) ).
fof(f1460,plain,
( ~ sQ63_spl
| sQ129_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f414,f1445,f1454,f1041]) ).
fof(f1461,plain,
( ~ sQ129_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f415,f1445,f1454]) ).
fof(f1463,definition,
( sQ130_spl
<=> sP26_prd ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f1466,plain,
( sQ46_spl
| sQ130_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f420,f1454,f1463,f986]) ).
fof(f1467,plain,
( ~ sQ43_spl
| sQ130_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f421,f1454,f1463,f976]) ).
fof(f1468,plain,
( sQ43_spl
| sQ130_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f422,f1454,f1463,f976]) ).
fof(f1469,plain,
( ~ sQ46_spl
| sQ130_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f423,f1454,f1463,f986]) ).
fof(f1470,plain,
( ~ sQ130_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f424,f1454,f1463]) ).
fof(f1472,definition,
( sQ131_spl
<=> sP27_prd ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f1475,plain,
( sQ46_spl
| sQ131_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f429,f1463,f1472,f986]) ).
fof(f1476,plain,
( ~ sQ43_spl
| sQ131_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f430,f1463,f1472,f976]) ).
fof(f1477,plain,
( sQ23_spl
| sQ131_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f431,f1463,f1472,f911]) ).
fof(f1478,plain,
( ~ sQ29_spl
| sQ131_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f432,f1463,f1472,f931]) ).
fof(f1479,plain,
( ~ sQ131_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f433,f1463,f1472]) ).
fof(f1480,plain,
( sQ29_spl
| ~ sQ23_spl
| sQ43_spl
| ~ sQ46_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f434,f1463,f986,f976,f911,f931]) ).
fof(f1481,definition,
( sQ132_spl
<=> sP28_prd ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f1484,plain,
( sQ46_spl
| sQ132_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f438,f1472,f1481,f986]) ).
fof(f1485,plain,
( ~ sQ43_spl
| sQ132_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f439,f1472,f1481,f976]) ).
fof(f1486,plain,
( sQ3_spl
| sQ132_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f440,f1472,f1481,f846]) ).
fof(f1487,plain,
( ~ sQ12_spl
| sQ132_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f441,f1472,f1481,f876]) ).
fof(f1488,plain,
( ~ sQ132_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f442,f1472,f1481]) ).
fof(f1490,definition,
( sQ133_spl
<=> sP29_prd ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f1493,plain,
( sQ42_spl
| sQ133_spl
| ~ sQ132_spl ),
inference(split_clause,[status(thm)],[f447,f1481,f1490,f973]) ).
fof(f1494,plain,
( ~ sQ42_spl
| sQ133_spl
| ~ sQ132_spl ),
inference(split_clause,[status(thm)],[f448,f1481,f1490,f973]) ).
fof(f1496,plain,
( ~ sQ59_spl
| sQ133_spl
| ~ sQ132_spl ),
inference(split_clause,[status(thm)],[f450,f1481,f1490,f1028]) ).
fof(f1497,plain,
( ~ sQ133_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f451,f1481,f1490]) ).
fof(f1499,definition,
( sQ134_spl
<=> sP30_prd ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f1502,plain,
( sQ42_spl
| sQ134_spl
| ~ sQ133_spl ),
inference(split_clause,[status(thm)],[f456,f1490,f1499,f973]) ).
fof(f1503,plain,
( ~ sQ42_spl
| sQ134_spl
| ~ sQ133_spl ),
inference(split_clause,[status(thm)],[f457,f1490,f1499,f973]) ).
fof(f1506,plain,
( ~ sQ134_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f460,f1490,f1499]) ).
fof(f1508,definition,
( sQ135_spl
<=> sP31_prd ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f1511,plain,
( sQ42_spl
| sQ135_spl
| ~ sQ134_spl ),
inference(split_clause,[status(thm)],[f465,f1499,f1508,f973]) ).
fof(f1512,plain,
( ~ sQ42_spl
| sQ135_spl
| ~ sQ134_spl ),
inference(split_clause,[status(thm)],[f466,f1499,f1508,f973]) ).
fof(f1515,plain,
( ~ sQ135_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f469,f1499,f1508]) ).
fof(f1517,definition,
( sQ136_spl
<=> sP32_prd ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f1520,plain,
( sQ42_spl
| sQ136_spl
| ~ sQ135_spl ),
inference(split_clause,[status(thm)],[f474,f1508,f1517,f973]) ).
fof(f1521,plain,
( ~ sQ42_spl
| sQ136_spl
| ~ sQ135_spl ),
inference(split_clause,[status(thm)],[f475,f1508,f1517,f973]) ).
fof(f1524,plain,
( ~ sQ136_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f478,f1508,f1517]) ).
fof(f1526,definition,
( sQ137_spl
<=> sP33_prd ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f1529,plain,
( sQ38_spl
| sQ137_spl
| ~ sQ136_spl ),
inference(split_clause,[status(thm)],[f483,f1517,f1526,f960]) ).
fof(f1530,plain,
( ~ sQ41_spl
| sQ137_spl
| ~ sQ136_spl ),
inference(split_clause,[status(thm)],[f484,f1517,f1526,f970]) ).
fof(f1531,plain,
( sQ61_spl
| sQ137_spl
| ~ sQ136_spl ),
inference(split_clause,[status(thm)],[f485,f1517,f1526,f1035]) ).
fof(f1532,plain,
( ~ sQ55_spl
| sQ137_spl
| ~ sQ136_spl ),
inference(split_clause,[status(thm)],[f486,f1517,f1526,f1015]) ).
fof(f1533,plain,
( ~ sQ137_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f487,f1517,f1526]) ).
fof(f1534,plain,
( sQ55_spl
| ~ sQ61_spl
| sQ41_spl
| ~ sQ38_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f488,f1517,f960,f970,f1035,f1015]) ).
fof(f1535,definition,
( sQ138_spl
<=> sP34_prd ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f1538,plain,
( sQ38_spl
| sQ138_spl
| ~ sQ137_spl ),
inference(split_clause,[status(thm)],[f492,f1526,f1535,f960]) ).
fof(f1539,plain,
( ~ sQ41_spl
| sQ138_spl
| ~ sQ137_spl ),
inference(split_clause,[status(thm)],[f493,f1526,f1535,f970]) ).
fof(f1540,plain,
( sQ41_spl
| sQ138_spl
| ~ sQ137_spl ),
inference(split_clause,[status(thm)],[f494,f1526,f1535,f970]) ).
fof(f1541,plain,
( ~ sQ38_spl
| sQ138_spl
| ~ sQ137_spl ),
inference(split_clause,[status(thm)],[f495,f1526,f1535,f960]) ).
fof(f1542,plain,
( ~ sQ138_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f496,f1526,f1535]) ).
fof(f1544,definition,
( sQ139_spl
<=> sP35_prd ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f1547,plain,
( sQ38_spl
| sQ139_spl
| ~ sQ138_spl ),
inference(split_clause,[status(thm)],[f501,f1535,f1544,f960]) ).
fof(f1548,plain,
( ~ sQ41_spl
| sQ139_spl
| ~ sQ138_spl ),
inference(split_clause,[status(thm)],[f502,f1535,f1544,f970]) ).
fof(f1549,plain,
( sQ21_spl
| sQ139_spl
| ~ sQ138_spl ),
inference(split_clause,[status(thm)],[f503,f1535,f1544,f905]) ).
fof(f1550,plain,
( ~ sQ21_spl
| sQ139_spl
| ~ sQ138_spl ),
inference(split_clause,[status(thm)],[f504,f1535,f1544,f905]) ).
fof(f1551,plain,
( ~ sQ139_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f505,f1535,f1544]) ).
fof(f1553,definition,
( sQ140_spl
<=> sP36_prd ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f1556,plain,
( sQ38_spl
| sQ140_spl
| ~ sQ139_spl ),
inference(split_clause,[status(thm)],[f510,f1544,f1553,f960]) ).
fof(f1557,plain,
( ~ sQ41_spl
| sQ140_spl
| ~ sQ139_spl ),
inference(split_clause,[status(thm)],[f511,f1544,f1553,f970]) ).
fof(f1558,plain,
( sQ1_spl
| sQ140_spl
| ~ sQ139_spl ),
inference(split_clause,[status(thm)],[f512,f1544,f1553,f840]) ).
fof(f1559,plain,
( ~ sQ4_spl
| sQ140_spl
| ~ sQ139_spl ),
inference(split_clause,[status(thm)],[f513,f1544,f1553,f850]) ).
fof(f1560,plain,
( ~ sQ140_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f514,f1544,f1553]) ).
fof(f1562,definition,
( sQ141_spl
<=> sP37_prd ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f1565,plain,
( sQ34_spl
| sQ141_spl
| ~ sQ140_spl ),
inference(split_clause,[status(thm)],[f519,f1553,f1562,f947]) ).
fof(f1566,plain,
( ~ sQ40_spl
| sQ141_spl
| ~ sQ140_spl ),
inference(split_clause,[status(thm)],[f520,f1553,f1562,f967]) ).
fof(f1567,plain,
( sQ60_spl
| sQ141_spl
| ~ sQ140_spl ),
inference(split_clause,[status(thm)],[f521,f1553,f1562,f1032]) ).
fof(f1568,plain,
( ~ sQ51_spl
| sQ141_spl
| ~ sQ140_spl ),
inference(split_clause,[status(thm)],[f522,f1553,f1562,f1002]) ).
fof(f1569,plain,
( ~ sQ141_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f523,f1553,f1562]) ).
fof(f1571,definition,
( sQ142_spl
<=> sP38_prd ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f1574,plain,
( sQ34_spl
| sQ142_spl
| ~ sQ141_spl ),
inference(split_clause,[status(thm)],[f528,f1562,f1571,f947]) ).
fof(f1575,plain,
( ~ sQ40_spl
| sQ142_spl
| ~ sQ141_spl ),
inference(split_clause,[status(thm)],[f529,f1562,f1571,f967]) ).
fof(f1576,plain,
( sQ40_spl
| sQ142_spl
| ~ sQ141_spl ),
inference(split_clause,[status(thm)],[f530,f1562,f1571,f967]) ).
fof(f1577,plain,
( ~ sQ34_spl
| sQ142_spl
| ~ sQ141_spl ),
inference(split_clause,[status(thm)],[f531,f1562,f1571,f947]) ).
fof(f1578,plain,
( ~ sQ142_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f532,f1562,f1571]) ).
fof(f1580,definition,
( sQ143_spl
<=> sP39_prd ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f1583,plain,
( sQ34_spl
| sQ143_spl
| ~ sQ142_spl ),
inference(split_clause,[status(thm)],[f537,f1571,f1580,f947]) ).
fof(f1584,plain,
( ~ sQ40_spl
| sQ143_spl
| ~ sQ142_spl ),
inference(split_clause,[status(thm)],[f538,f1571,f1580,f967]) ).
fof(f1585,plain,
( sQ20_spl
| sQ143_spl
| ~ sQ142_spl ),
inference(split_clause,[status(thm)],[f539,f1571,f1580,f902]) ).
fof(f1586,plain,
( ~ sQ17_spl
| sQ143_spl
| ~ sQ142_spl ),
inference(split_clause,[status(thm)],[f540,f1571,f1580,f892]) ).
fof(f1587,plain,
( ~ sQ143_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f541,f1571,f1580]) ).
fof(f1588,plain,
( sQ17_spl
| ~ sQ20_spl
| sQ40_spl
| ~ sQ34_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f542,f1571,f947,f967,f902,f892]) ).
fof(f1589,definition,
( sQ144_spl
<=> sP40_prd ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f1592,plain,
( sQ34_spl
| sQ144_spl
| ~ sQ143_spl ),
inference(split_clause,[status(thm)],[f546,f1580,f1589,f947]) ).
fof(f1593,plain,
( ~ sQ40_spl
| sQ144_spl
| ~ sQ143_spl ),
inference(split_clause,[status(thm)],[f547,f1580,f1589,f967]) ).
fof(f1594,plain,
( sQ0_spl
| sQ144_spl
| ~ sQ143_spl ),
inference(split_clause,[status(thm)],[f548,f1580,f1589,f837]) ).
fof(f1595,plain,
( ~ sQ0_spl
| sQ144_spl
| ~ sQ143_spl ),
inference(split_clause,[status(thm)],[f549,f1580,f1589,f837]) ).
fof(f1596,plain,
( ~ sQ144_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f550,f1580,f1589]) ).
fof(f1598,definition,
( sQ145_spl
<=> sP41_prd ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f1601,plain,
( sQ29_spl
| sQ145_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f555,f1589,f1598,f931]) ).
fof(f1602,plain,
( ~ sQ23_spl
| sQ145_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f556,f1589,f1598,f911]) ).
fof(f1603,plain,
( sQ63_spl
| sQ145_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f557,f1589,f1598,f1041]) ).
fof(f1604,plain,
( ~ sQ63_spl
| sQ145_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f558,f1589,f1598,f1041]) ).
fof(f1605,plain,
( ~ sQ145_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f559,f1589,f1598]) ).
fof(f1607,definition,
( sQ146_spl
<=> sP42_prd ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f1610,plain,
( sQ29_spl
| sQ146_spl
| ~ sQ145_spl ),
inference(split_clause,[status(thm)],[f564,f1598,f1607,f931]) ).
fof(f1611,plain,
( ~ sQ23_spl
| sQ146_spl
| ~ sQ145_spl ),
inference(split_clause,[status(thm)],[f565,f1598,f1607,f911]) ).
fof(f1612,plain,
( sQ43_spl
| sQ146_spl
| ~ sQ145_spl ),
inference(split_clause,[status(thm)],[f566,f1598,f1607,f976]) ).
fof(f1613,plain,
( ~ sQ46_spl
| sQ146_spl
| ~ sQ145_spl ),
inference(split_clause,[status(thm)],[f567,f1598,f1607,f986]) ).
fof(f1614,plain,
( ~ sQ146_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f568,f1598,f1607]) ).
fof(f1615,plain,
( sQ46_spl
| ~ sQ43_spl
| sQ23_spl
| ~ sQ29_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f569,f1598,f931,f911,f976,f986]) ).
fof(f1616,definition,
( sQ147_spl
<=> sP43_prd ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f1619,plain,
( sQ29_spl
| sQ147_spl
| ~ sQ146_spl ),
inference(split_clause,[status(thm)],[f573,f1607,f1616,f931]) ).
fof(f1620,plain,
( ~ sQ23_spl
| sQ147_spl
| ~ sQ146_spl ),
inference(split_clause,[status(thm)],[f574,f1607,f1616,f911]) ).
fof(f1621,plain,
( sQ23_spl
| sQ147_spl
| ~ sQ146_spl ),
inference(split_clause,[status(thm)],[f575,f1607,f1616,f911]) ).
fof(f1622,plain,
( ~ sQ29_spl
| sQ147_spl
| ~ sQ146_spl ),
inference(split_clause,[status(thm)],[f576,f1607,f1616,f931]) ).
fof(f1623,plain,
( ~ sQ147_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f577,f1607,f1616]) ).
fof(f1625,definition,
( sQ148_spl
<=> sP44_prd ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f1628,plain,
( sQ29_spl
| sQ148_spl
| ~ sQ147_spl ),
inference(split_clause,[status(thm)],[f582,f1616,f1625,f931]) ).
fof(f1629,plain,
( ~ sQ23_spl
| sQ148_spl
| ~ sQ147_spl ),
inference(split_clause,[status(thm)],[f583,f1616,f1625,f911]) ).
fof(f1630,plain,
( sQ3_spl
| sQ148_spl
| ~ sQ147_spl ),
inference(split_clause,[status(thm)],[f584,f1616,f1625,f846]) ).
fof(f1631,plain,
( ~ sQ12_spl
| sQ148_spl
| ~ sQ147_spl ),
inference(split_clause,[status(thm)],[f585,f1616,f1625,f876]) ).
fof(f1632,plain,
( ~ sQ148_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f586,f1616,f1625]) ).
fof(f1633,plain,
( sQ12_spl
| ~ sQ3_spl
| sQ23_spl
| ~ sQ29_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f587,f1616,f931,f911,f846,f876]) ).
fof(f1634,definition,
( sQ149_spl
<=> sP45_prd ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f1637,plain,
( sQ25_spl
| sQ149_spl
| ~ sQ148_spl ),
inference(split_clause,[status(thm)],[f591,f1625,f1634,f918]) ).
fof(f1638,plain,
( ~ sQ22_spl
| sQ149_spl
| ~ sQ148_spl ),
inference(split_clause,[status(thm)],[f592,f1625,f1634,f908]) ).
fof(f1639,plain,
( sQ62_spl
| sQ149_spl
| ~ sQ148_spl ),
inference(split_clause,[status(thm)],[f593,f1625,f1634,f1038]) ).
fof(f1640,plain,
( ~ sQ59_spl
| sQ149_spl
| ~ sQ148_spl ),
inference(split_clause,[status(thm)],[f594,f1625,f1634,f1028]) ).
fof(f1641,plain,
( ~ sQ149_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f595,f1625,f1634]) ).
fof(f1642,plain,
( sQ59_spl
| ~ sQ62_spl
| sQ22_spl
| ~ sQ25_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f596,f1625,f918,f908,f1038,f1028]) ).
fof(f1643,definition,
( sQ150_spl
<=> sP46_prd ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f1646,plain,
( sQ25_spl
| sQ150_spl
| ~ sQ149_spl ),
inference(split_clause,[status(thm)],[f600,f1634,f1643,f918]) ).
fof(f1647,plain,
( ~ sQ22_spl
| sQ150_spl
| ~ sQ149_spl ),
inference(split_clause,[status(thm)],[f601,f1634,f1643,f908]) ).
fof(f1648,plain,
( sQ42_spl
| sQ150_spl
| ~ sQ149_spl ),
inference(split_clause,[status(thm)],[f602,f1634,f1643,f973]) ).
fof(f1649,plain,
( ~ sQ42_spl
| sQ150_spl
| ~ sQ149_spl ),
inference(split_clause,[status(thm)],[f603,f1634,f1643,f973]) ).
fof(f1650,plain,
( ~ sQ150_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f604,f1634,f1643]) ).
fof(f1652,definition,
( sQ151_spl
<=> sP47_prd ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f1655,plain,
( sQ25_spl
| sQ151_spl
| ~ sQ150_spl ),
inference(split_clause,[status(thm)],[f609,f1643,f1652,f918]) ).
fof(f1656,plain,
( ~ sQ22_spl
| sQ151_spl
| ~ sQ150_spl ),
inference(split_clause,[status(thm)],[f610,f1643,f1652,f908]) ).
fof(f1657,plain,
( sQ22_spl
| sQ151_spl
| ~ sQ150_spl ),
inference(split_clause,[status(thm)],[f611,f1643,f1652,f908]) ).
fof(f1658,plain,
( ~ sQ25_spl
| sQ151_spl
| ~ sQ150_spl ),
inference(split_clause,[status(thm)],[f612,f1643,f1652,f918]) ).
fof(f1659,plain,
( ~ sQ151_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f613,f1643,f1652]) ).
fof(f1661,definition,
( sQ152_spl
<=> sP48_prd ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f1664,plain,
( sQ25_spl
| sQ152_spl
| ~ sQ151_spl ),
inference(split_clause,[status(thm)],[f618,f1652,f1661,f918]) ).
fof(f1665,plain,
( ~ sQ22_spl
| sQ152_spl
| ~ sQ151_spl ),
inference(split_clause,[status(thm)],[f619,f1652,f1661,f908]) ).
fof(f1666,plain,
( sQ2_spl
| sQ152_spl
| ~ sQ151_spl ),
inference(split_clause,[status(thm)],[f620,f1652,f1661,f843]) ).
fof(f1667,plain,
( ~ sQ8_spl
| sQ152_spl
| ~ sQ151_spl ),
inference(split_clause,[status(thm)],[f621,f1652,f1661,f863]) ).
fof(f1668,plain,
( ~ sQ152_spl
| sQ151_spl ),
inference(split_clause,[status(thm)],[f622,f1652,f1661]) ).
fof(f1669,plain,
( sQ8_spl
| ~ sQ2_spl
| sQ22_spl
| ~ sQ25_spl
| sQ151_spl ),
inference(split_clause,[status(thm)],[f623,f1652,f918,f908,f843,f863]) ).
fof(f1670,definition,
( sQ153_spl
<=> sP49_prd ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f1673,plain,
( sQ21_spl
| sQ153_spl
| ~ sQ152_spl ),
inference(split_clause,[status(thm)],[f627,f1661,f1670,f905]) ).
fof(f1674,plain,
( ~ sQ21_spl
| sQ153_spl
| ~ sQ152_spl ),
inference(split_clause,[status(thm)],[f628,f1661,f1670,f905]) ).
fof(f1675,plain,
( sQ61_spl
| sQ153_spl
| ~ sQ152_spl ),
inference(split_clause,[status(thm)],[f629,f1661,f1670,f1035]) ).
fof(f1676,plain,
( ~ sQ55_spl
| sQ153_spl
| ~ sQ152_spl ),
inference(split_clause,[status(thm)],[f630,f1661,f1670,f1015]) ).
fof(f1677,plain,
( ~ sQ153_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f631,f1661,f1670]) ).
fof(f1679,definition,
( sQ154_spl
<=> sP50_prd ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f1682,plain,
( sQ21_spl
| sQ154_spl
| ~ sQ153_spl ),
inference(split_clause,[status(thm)],[f636,f1670,f1679,f905]) ).
fof(f1683,plain,
( ~ sQ21_spl
| sQ154_spl
| ~ sQ153_spl ),
inference(split_clause,[status(thm)],[f637,f1670,f1679,f905]) ).
fof(f1684,plain,
( sQ41_spl
| sQ154_spl
| ~ sQ153_spl ),
inference(split_clause,[status(thm)],[f638,f1670,f1679,f970]) ).
fof(f1686,plain,
( ~ sQ154_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f640,f1670,f1679]) ).
fof(f1688,definition,
( sQ155_spl
<=> sP51_prd ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f1691,plain,
( sQ21_spl
| sQ155_spl
| ~ sQ154_spl ),
inference(split_clause,[status(thm)],[f645,f1679,f1688,f905]) ).
fof(f1692,plain,
( ~ sQ21_spl
| sQ155_spl
| ~ sQ154_spl ),
inference(split_clause,[status(thm)],[f646,f1679,f1688,f905]) ).
fof(f1695,plain,
( ~ sQ155_spl
| sQ154_spl ),
inference(split_clause,[status(thm)],[f649,f1679,f1688]) ).
fof(f1697,definition,
( sQ156_spl
<=> sP52_prd ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f1700,plain,
( sQ21_spl
| sQ156_spl
| ~ sQ155_spl ),
inference(split_clause,[status(thm)],[f654,f1688,f1697,f905]) ).
fof(f1701,plain,
( ~ sQ21_spl
| sQ156_spl
| ~ sQ155_spl ),
inference(split_clause,[status(thm)],[f655,f1688,f1697,f905]) ).
fof(f1702,plain,
( sQ1_spl
| sQ156_spl
| ~ sQ155_spl ),
inference(split_clause,[status(thm)],[f656,f1688,f1697,f840]) ).
fof(f1703,plain,
( ~ sQ4_spl
| sQ156_spl
| ~ sQ155_spl ),
inference(split_clause,[status(thm)],[f657,f1688,f1697,f850]) ).
fof(f1704,plain,
( ~ sQ156_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f658,f1688,f1697]) ).
fof(f1706,definition,
( sQ157_spl
<=> sP53_prd ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f1709,plain,
( sQ17_spl
| sQ157_spl
| ~ sQ156_spl ),
inference(split_clause,[status(thm)],[f663,f1697,f1706,f892]) ).
fof(f1710,plain,
( ~ sQ20_spl
| sQ157_spl
| ~ sQ156_spl ),
inference(split_clause,[status(thm)],[f664,f1697,f1706,f902]) ).
fof(f1711,plain,
( sQ60_spl
| sQ157_spl
| ~ sQ156_spl ),
inference(split_clause,[status(thm)],[f665,f1697,f1706,f1032]) ).
fof(f1712,plain,
( ~ sQ51_spl
| sQ157_spl
| ~ sQ156_spl ),
inference(split_clause,[status(thm)],[f666,f1697,f1706,f1002]) ).
fof(f1713,plain,
( ~ sQ157_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f667,f1697,f1706]) ).
fof(f1714,plain,
( sQ51_spl
| ~ sQ60_spl
| sQ20_spl
| ~ sQ17_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f668,f1697,f892,f902,f1032,f1002]) ).
fof(f1715,definition,
( sQ158_spl
<=> sP54_prd ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f1718,plain,
( sQ17_spl
| sQ158_spl
| ~ sQ157_spl ),
inference(split_clause,[status(thm)],[f672,f1706,f1715,f892]) ).
fof(f1719,plain,
( ~ sQ20_spl
| sQ158_spl
| ~ sQ157_spl ),
inference(split_clause,[status(thm)],[f673,f1706,f1715,f902]) ).
fof(f1720,plain,
( sQ40_spl
| sQ158_spl
| ~ sQ157_spl ),
inference(split_clause,[status(thm)],[f674,f1706,f1715,f967]) ).
fof(f1721,plain,
( ~ sQ34_spl
| sQ158_spl
| ~ sQ157_spl ),
inference(split_clause,[status(thm)],[f675,f1706,f1715,f947]) ).
fof(f1722,plain,
( ~ sQ158_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f676,f1706,f1715]) ).
fof(f1723,plain,
( sQ34_spl
| ~ sQ40_spl
| sQ20_spl
| ~ sQ17_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f677,f1706,f892,f902,f967,f947]) ).
fof(f1724,definition,
( sQ159_spl
<=> sP55_prd ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f1727,plain,
( sQ17_spl
| sQ159_spl
| ~ sQ158_spl ),
inference(split_clause,[status(thm)],[f681,f1715,f1724,f892]) ).
fof(f1728,plain,
( ~ sQ20_spl
| sQ159_spl
| ~ sQ158_spl ),
inference(split_clause,[status(thm)],[f682,f1715,f1724,f902]) ).
fof(f1729,plain,
( sQ20_spl
| sQ159_spl
| ~ sQ158_spl ),
inference(split_clause,[status(thm)],[f683,f1715,f1724,f902]) ).
fof(f1730,plain,
( ~ sQ17_spl
| sQ159_spl
| ~ sQ158_spl ),
inference(split_clause,[status(thm)],[f684,f1715,f1724,f892]) ).
fof(f1731,plain,
( ~ sQ159_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f685,f1715,f1724]) ).
fof(f1733,definition,
( sQ160_spl
<=> sP56_prd ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f1736,plain,
( sQ17_spl
| sQ160_spl
| ~ sQ159_spl ),
inference(split_clause,[status(thm)],[f690,f1724,f1733,f892]) ).
fof(f1737,plain,
( ~ sQ20_spl
| sQ160_spl
| ~ sQ159_spl ),
inference(split_clause,[status(thm)],[f691,f1724,f1733,f902]) ).
fof(f1738,plain,
( sQ0_spl
| sQ160_spl
| ~ sQ159_spl ),
inference(split_clause,[status(thm)],[f692,f1724,f1733,f837]) ).
fof(f1739,plain,
( ~ sQ0_spl
| sQ160_spl
| ~ sQ159_spl ),
inference(split_clause,[status(thm)],[f693,f1724,f1733,f837]) ).
fof(f1740,plain,
( ~ sQ160_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f694,f1724,f1733]) ).
fof(f1742,definition,
( sQ161_spl
<=> sP57_prd ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f1745,plain,
( sQ12_spl
| sQ161_spl
| ~ sQ160_spl ),
inference(split_clause,[status(thm)],[f699,f1733,f1742,f876]) ).
fof(f1746,plain,
( ~ sQ3_spl
| sQ161_spl
| ~ sQ160_spl ),
inference(split_clause,[status(thm)],[f700,f1733,f1742,f846]) ).
fof(f1747,plain,
( sQ63_spl
| sQ161_spl
| ~ sQ160_spl ),
inference(split_clause,[status(thm)],[f701,f1733,f1742,f1041]) ).
fof(f1748,plain,
( ~ sQ63_spl
| sQ161_spl
| ~ sQ160_spl ),
inference(split_clause,[status(thm)],[f702,f1733,f1742,f1041]) ).
fof(f1749,plain,
( ~ sQ161_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f703,f1733,f1742]) ).
fof(f1751,definition,
( sQ162_spl
<=> sP58_prd ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f1754,plain,
( sQ12_spl
| sQ162_spl
| ~ sQ161_spl ),
inference(split_clause,[status(thm)],[f708,f1742,f1751,f876]) ).
fof(f1755,plain,
( ~ sQ3_spl
| sQ162_spl
| ~ sQ161_spl ),
inference(split_clause,[status(thm)],[f709,f1742,f1751,f846]) ).
fof(f1756,plain,
( sQ43_spl
| sQ162_spl
| ~ sQ161_spl ),
inference(split_clause,[status(thm)],[f710,f1742,f1751,f976]) ).
fof(f1757,plain,
( ~ sQ46_spl
| sQ162_spl
| ~ sQ161_spl ),
inference(split_clause,[status(thm)],[f711,f1742,f1751,f986]) ).
fof(f1758,plain,
( ~ sQ162_spl
| sQ161_spl ),
inference(split_clause,[status(thm)],[f712,f1742,f1751]) ).
fof(f1760,definition,
( sQ163_spl
<=> sP59_prd ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f1763,plain,
( sQ12_spl
| sQ163_spl
| ~ sQ162_spl ),
inference(split_clause,[status(thm)],[f717,f1751,f1760,f876]) ).
fof(f1764,plain,
( ~ sQ3_spl
| sQ163_spl
| ~ sQ162_spl ),
inference(split_clause,[status(thm)],[f718,f1751,f1760,f846]) ).
fof(f1765,plain,
( sQ23_spl
| sQ163_spl
| ~ sQ162_spl ),
inference(split_clause,[status(thm)],[f719,f1751,f1760,f911]) ).
fof(f1766,plain,
( ~ sQ29_spl
| sQ163_spl
| ~ sQ162_spl ),
inference(split_clause,[status(thm)],[f720,f1751,f1760,f931]) ).
fof(f1767,plain,
( ~ sQ163_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f721,f1751,f1760]) ).
fof(f1768,plain,
( sQ29_spl
| ~ sQ23_spl
| sQ3_spl
| ~ sQ12_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f722,f1751,f876,f846,f911,f931]) ).
fof(f1769,definition,
( sQ164_spl
<=> sP60_prd ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f1772,plain,
( sQ12_spl
| sQ164_spl
| ~ sQ163_spl ),
inference(split_clause,[status(thm)],[f726,f1760,f1769,f876]) ).
fof(f1773,plain,
( ~ sQ3_spl
| sQ164_spl
| ~ sQ163_spl ),
inference(split_clause,[status(thm)],[f727,f1760,f1769,f846]) ).
fof(f1774,plain,
( sQ3_spl
| sQ164_spl
| ~ sQ163_spl ),
inference(split_clause,[status(thm)],[f728,f1760,f1769,f846]) ).
fof(f1775,plain,
( ~ sQ12_spl
| sQ164_spl
| ~ sQ163_spl ),
inference(split_clause,[status(thm)],[f729,f1760,f1769,f876]) ).
fof(f1776,plain,
( ~ sQ164_spl
| sQ163_spl ),
inference(split_clause,[status(thm)],[f730,f1760,f1769]) ).
fof(f1778,definition,
( sQ165_spl
<=> sP61_prd ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f1781,plain,
( sQ8_spl
| sQ165_spl
| ~ sQ164_spl ),
inference(split_clause,[status(thm)],[f735,f1769,f1778,f863]) ).
fof(f1782,plain,
( ~ sQ2_spl
| sQ165_spl
| ~ sQ164_spl ),
inference(split_clause,[status(thm)],[f736,f1769,f1778,f843]) ).
fof(f1783,plain,
( sQ62_spl
| sQ165_spl
| ~ sQ164_spl ),
inference(split_clause,[status(thm)],[f737,f1769,f1778,f1038]) ).
fof(f1784,plain,
( ~ sQ59_spl
| sQ165_spl
| ~ sQ164_spl ),
inference(split_clause,[status(thm)],[f738,f1769,f1778,f1028]) ).
fof(f1785,plain,
( ~ sQ165_spl
| sQ164_spl ),
inference(split_clause,[status(thm)],[f739,f1769,f1778]) ).
fof(f1786,plain,
( sQ59_spl
| ~ sQ62_spl
| sQ2_spl
| ~ sQ8_spl
| sQ164_spl ),
inference(split_clause,[status(thm)],[f740,f1769,f863,f843,f1038,f1028]) ).
fof(f1787,definition,
( sQ166_spl
<=> sP62_prd ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f1790,plain,
( sQ8_spl
| sQ166_spl
| ~ sQ165_spl ),
inference(split_clause,[status(thm)],[f744,f1778,f1787,f863]) ).
fof(f1791,plain,
( ~ sQ2_spl
| sQ166_spl
| ~ sQ165_spl ),
inference(split_clause,[status(thm)],[f745,f1778,f1787,f843]) ).
fof(f1792,plain,
( sQ42_spl
| sQ166_spl
| ~ sQ165_spl ),
inference(split_clause,[status(thm)],[f746,f1778,f1787,f973]) ).
fof(f1793,plain,
( ~ sQ42_spl
| sQ166_spl
| ~ sQ165_spl ),
inference(split_clause,[status(thm)],[f747,f1778,f1787,f973]) ).
fof(f1794,plain,
( ~ sQ166_spl
| sQ165_spl ),
inference(split_clause,[status(thm)],[f748,f1778,f1787]) ).
fof(f1796,definition,
( sQ167_spl
<=> sP63_prd ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f1799,plain,
( sQ8_spl
| sQ167_spl
| ~ sQ166_spl ),
inference(split_clause,[status(thm)],[f753,f1787,f1796,f863]) ).
fof(f1800,plain,
( ~ sQ2_spl
| sQ167_spl
| ~ sQ166_spl ),
inference(split_clause,[status(thm)],[f754,f1787,f1796,f843]) ).
fof(f1801,plain,
( sQ22_spl
| sQ167_spl
| ~ sQ166_spl ),
inference(split_clause,[status(thm)],[f755,f1787,f1796,f908]) ).
fof(f1802,plain,
( ~ sQ25_spl
| sQ167_spl
| ~ sQ166_spl ),
inference(split_clause,[status(thm)],[f756,f1787,f1796,f918]) ).
fof(f1803,plain,
( ~ sQ167_spl
| sQ166_spl ),
inference(split_clause,[status(thm)],[f757,f1787,f1796]) ).
fof(f1804,plain,
( sQ25_spl
| ~ sQ22_spl
| sQ2_spl
| ~ sQ8_spl
| sQ166_spl ),
inference(split_clause,[status(thm)],[f758,f1787,f863,f843,f908,f918]) ).
fof(f1805,definition,
( sQ168_spl
<=> sP64_prd ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f1808,plain,
( sQ8_spl
| sQ168_spl
| ~ sQ167_spl ),
inference(split_clause,[status(thm)],[f762,f1796,f1805,f863]) ).
fof(f1809,plain,
( ~ sQ2_spl
| sQ168_spl
| ~ sQ167_spl ),
inference(split_clause,[status(thm)],[f763,f1796,f1805,f843]) ).
fof(f1810,plain,
( sQ2_spl
| sQ168_spl
| ~ sQ167_spl ),
inference(split_clause,[status(thm)],[f764,f1796,f1805,f843]) ).
fof(f1811,plain,
( ~ sQ8_spl
| sQ168_spl
| ~ sQ167_spl ),
inference(split_clause,[status(thm)],[f765,f1796,f1805,f863]) ).
fof(f1812,plain,
( ~ sQ168_spl
| sQ167_spl ),
inference(split_clause,[status(thm)],[f766,f1796,f1805]) ).
fof(f1814,definition,
( sQ169_spl
<=> sP65_prd ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f1817,plain,
( sQ4_spl
| sQ169_spl
| ~ sQ168_spl ),
inference(split_clause,[status(thm)],[f771,f1805,f1814,f850]) ).
fof(f1818,plain,
( ~ sQ1_spl
| sQ169_spl
| ~ sQ168_spl ),
inference(split_clause,[status(thm)],[f772,f1805,f1814,f840]) ).
fof(f1819,plain,
( sQ61_spl
| sQ169_spl
| ~ sQ168_spl ),
inference(split_clause,[status(thm)],[f773,f1805,f1814,f1035]) ).
fof(f1820,plain,
( ~ sQ55_spl
| sQ169_spl
| ~ sQ168_spl ),
inference(split_clause,[status(thm)],[f774,f1805,f1814,f1015]) ).
fof(f1821,plain,
( ~ sQ169_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f775,f1805,f1814]) ).
fof(f1822,plain,
( sQ55_spl
| ~ sQ61_spl
| sQ1_spl
| ~ sQ4_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f776,f1805,f850,f840,f1035,f1015]) ).
fof(f1823,definition,
( sQ170_spl
<=> sP66_prd ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f1826,plain,
( sQ4_spl
| sQ170_spl
| ~ sQ169_spl ),
inference(split_clause,[status(thm)],[f780,f1814,f1823,f850]) ).
fof(f1827,plain,
( ~ sQ1_spl
| sQ170_spl
| ~ sQ169_spl ),
inference(split_clause,[status(thm)],[f781,f1814,f1823,f840]) ).
fof(f1828,plain,
( sQ41_spl
| sQ170_spl
| ~ sQ169_spl ),
inference(split_clause,[status(thm)],[f782,f1814,f1823,f970]) ).
fof(f1829,plain,
( ~ sQ38_spl
| sQ170_spl
| ~ sQ169_spl ),
inference(split_clause,[status(thm)],[f783,f1814,f1823,f960]) ).
fof(f1830,plain,
( ~ sQ170_spl
| sQ169_spl ),
inference(split_clause,[status(thm)],[f784,f1814,f1823]) ).
fof(f1831,plain,
( sQ38_spl
| ~ sQ41_spl
| sQ1_spl
| ~ sQ4_spl
| sQ169_spl ),
inference(split_clause,[status(thm)],[f785,f1814,f850,f840,f970,f960]) ).
fof(f1832,definition,
( sQ171_spl
<=> sP67_prd ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f1835,plain,
( sQ4_spl
| sQ171_spl
| ~ sQ170_spl ),
inference(split_clause,[status(thm)],[f789,f1823,f1832,f850]) ).
fof(f1836,plain,
( ~ sQ1_spl
| sQ171_spl
| ~ sQ170_spl ),
inference(split_clause,[status(thm)],[f790,f1823,f1832,f840]) ).
fof(f1837,plain,
( sQ21_spl
| sQ171_spl
| ~ sQ170_spl ),
inference(split_clause,[status(thm)],[f791,f1823,f1832,f905]) ).
fof(f1838,plain,
( ~ sQ21_spl
| sQ171_spl
| ~ sQ170_spl ),
inference(split_clause,[status(thm)],[f792,f1823,f1832,f905]) ).
fof(f1839,plain,
( ~ sQ171_spl
| sQ170_spl ),
inference(split_clause,[status(thm)],[f793,f1823,f1832]) ).
fof(f1841,definition,
( sQ172_spl
<=> sP68_prd ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f1844,plain,
( sQ4_spl
| sQ172_spl
| ~ sQ171_spl ),
inference(split_clause,[status(thm)],[f798,f1832,f1841,f850]) ).
fof(f1845,plain,
( ~ sQ1_spl
| sQ172_spl
| ~ sQ171_spl ),
inference(split_clause,[status(thm)],[f799,f1832,f1841,f840]) ).
fof(f1846,plain,
( sQ1_spl
| sQ172_spl
| ~ sQ171_spl ),
inference(split_clause,[status(thm)],[f800,f1832,f1841,f840]) ).
fof(f1848,plain,
( ~ sQ172_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f802,f1832,f1841]) ).
fof(f1850,definition,
( sQ173_spl
<=> sP69_prd ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f1853,plain,
( sQ0_spl
| sQ173_spl
| ~ sQ172_spl ),
inference(split_clause,[status(thm)],[f807,f1841,f1850,f837]) ).
fof(f1854,plain,
( ~ sQ0_spl
| sQ173_spl
| ~ sQ172_spl ),
inference(split_clause,[status(thm)],[f808,f1841,f1850,f837]) ).
fof(f1855,plain,
( sQ60_spl
| sQ173_spl
| ~ sQ172_spl ),
inference(split_clause,[status(thm)],[f809,f1841,f1850,f1032]) ).
fof(f1857,plain,
( ~ sQ173_spl
| sQ172_spl ),
inference(split_clause,[status(thm)],[f811,f1841,f1850]) ).
fof(f1859,definition,
( sQ174_spl
<=> sP70_prd ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f1862,plain,
( sQ0_spl
| sQ174_spl
| ~ sQ173_spl ),
inference(split_clause,[status(thm)],[f816,f1850,f1859,f837]) ).
fof(f1863,plain,
( ~ sQ0_spl
| sQ174_spl
| ~ sQ173_spl ),
inference(split_clause,[status(thm)],[f817,f1850,f1859,f837]) ).
fof(f1864,plain,
( sQ40_spl
| sQ174_spl
| ~ sQ173_spl ),
inference(split_clause,[status(thm)],[f818,f1850,f1859,f967]) ).
fof(f1866,plain,
( ~ sQ174_spl
| sQ173_spl ),
inference(split_clause,[status(thm)],[f820,f1850,f1859]) ).
fof(f1868,definition,
( sQ175_spl
<=> sP71_prd ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f1871,plain,
( sQ0_spl
| sQ175_spl
| ~ sQ174_spl ),
inference(split_clause,[status(thm)],[f825,f1859,f1868,f837]) ).
fof(f1872,plain,
( ~ sQ0_spl
| sQ175_spl
| ~ sQ174_spl ),
inference(split_clause,[status(thm)],[f826,f1859,f1868,f837]) ).
fof(f1873,plain,
( sQ20_spl
| sQ175_spl
| ~ sQ174_spl ),
inference(split_clause,[status(thm)],[f827,f1859,f1868,f902]) ).
fof(f1875,plain,
( ~ sQ175_spl
| sQ174_spl ),
inference(split_clause,[status(thm)],[f829,f1859,f1868]) ).
fof(f1877,plain,
( sQ0_spl
| ~ sQ175_spl ),
inference(split_clause,[status(thm)],[f832,f1868,f837]) ).
fof(f1878,plain,
( ~ sQ0_spl
| ~ sQ175_spl ),
inference(split_clause,[status(thm)],[f833,f1868,f837]) ).
fof(f1882,plain,
( ~ sQ10_spl
| op(e0,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f870,f105]) ).
fof(f1883,plain,
( ~ sQ10_spl
| op(e3,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f870,f92]) ).
fof(f1884,plain,
( ~ sQ10_spl
| op(e0,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f870,f103]) ).
fof(f1885,plain,
( ~ sQ15_spl
| ~ sQ14_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f883,f886]) ).
fof(f1886,plain,
( ~ sQ24_spl
| e0 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f916,f111]) ).
fof(f1887,plain,
( ~ sQ24_spl
| e0 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f916,f113]) ).
fof(f1889,plain,
( ~ sQ53_spl
| e1 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f1010,f86]) ).
fof(f1897,plain,
( ~ sQ12_spl
| ~ sQ14_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f883,f877]) ).
fof(f1906,plain,
( ~ sQ12_spl
| ~ sQ14_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f1897,f127]) ).
fof(f1907,plain,
( ~ sQ12_spl
| ~ sQ14_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1906]) ).
fof(f1908,plain,
( ~ sQ12_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f1907]) ).
fof(f1909,plain,
( sQ99_spl
| ~ sQ45_spl
| op(e2,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f984,f1229]) ).
fof(f1910,plain,
( ~ sQ8_spl
| op(e1,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f864,f90]) ).
fof(f1911,plain,
( ~ sQ8_spl
| op(e0,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f864,f107]) ).
fof(f1912,plain,
( ~ sQ56_spl
| op(e3,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f1020,f121]) ).
fof(f1914,plain,
( ~ sQ45_spl
| op(e2,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f984,f116]) ).
fof(f1916,plain,
( ~ sQ45_spl
| ~ sQ46_spl
| e1 = e2 ),
inference(backward_demodulation,[status(thm)],[f987,f984]) ).
fof(f1917,plain,
( ~ sQ45_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1916,f129]) ).
fof(f1918,plain,
( ~ sQ45_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f1917]) ).
fof(f1919,plain,
( ~ sQ53_spl
| e1 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f1010,f88]) ).
fof(f1920,plain,
( ~ sQ8_spl
| ~ sQ11_spl
| e0 = e3 ),
inference(backward_demodulation,[status(thm)],[f873,f864]) ).
fof(f1921,plain,
( ~ sQ8_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1920,f128]) ).
fof(f1922,plain,
( ~ sQ8_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f1921]) ).
fof(f1923,plain,
( ~ sQ53_spl
| e1 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f1010,f120]) ).
fof(f1924,plain,
( ~ sQ36_spl
| ~ sQ37_spl
| e1 = e0 ),
inference(backward_demodulation,[status(thm)],[f958,f955]) ).
fof(f1925,plain,
( ~ sQ56_spl
| ~ sQ57_spl
| e0 = e1 ),
inference(backward_demodulation,[status(thm)],[f1023,f1020]) ).
fof(f1926,plain,
( ~ sQ47_spl
| op(e2,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f990,f119]) ).
fof(f1929,plain,
( ~ sQ50_spl
| op(e0,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f1000,f80]) ).
fof(f1930,plain,
( ~ sQ50_spl
| op(e3,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f1000,f122]) ).
fof(f1931,plain,
( ~ sQ29_spl
| op(e1,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f932,f110]) ).
fof(f1932,plain,
( ~ sQ37_spl
| e1 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f958,f85]) ).
fof(f1934,plain,
( ~ sQ53_spl
| op(e3,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f1010,f123]) ).
fof(f1935,plain,
( ~ sQ53_spl
| ~ sQ57_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f1023,f1934]) ).
fof(f1936,plain,
( ~ sQ53_spl
| ~ sQ57_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1935]) ).
fof(f1937,plain,
( ~ sQ53_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f1936]) ).
fof(f1938,plain,
( ~ sQ44_spl
| ~ sQ47_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f990,f981]) ).
fof(f1939,plain,
( ~ sQ44_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1938,f128]) ).
fof(f1940,plain,
( ~ sQ44_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f1939]) ).
fof(f1941,plain,
( ~ sQ37_spl
| e1 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f958,f117]) ).
fof(f1942,plain,
( ~ sQ37_spl
| op(e2,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f958,f118]) ).
fof(f1943,plain,
( ~ sQ29_spl
| ~ sQ31_spl
| e1 = e3 ),
inference(backward_demodulation,[status(thm)],[f938,f932]) ).
fof(f1944,plain,
( ~ sQ29_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1943,f130]) ).
fof(f1945,plain,
( ~ sQ29_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f1944]) ).
fof(f1946,plain,
( ~ sQ31_spl
| e3 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f938,f110]) ).
fof(f1948,plain,
( sQ107_spl
| ~ sQ31_spl
| e3 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f938,f1272]) ).
fof(f1949,plain,
( sQ107_spl
| ~ sQ31_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f938,f1948]) ).
fof(f1950,plain,
( sQ107_spl
| ~ sQ31_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1949]) ).
fof(f1951,plain,
( sQ107_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f1950]) ).
fof(f1952,plain,
( ~ sQ7_spl
| e3 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f860,f102]) ).
fof(f1953,plain,
( ~ sQ13_spl
| op(e0,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f880,f104]) ).
fof(f1954,plain,
( ~ sQ50_spl
| op(e1,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f1000,f82]) ).
fof(f1976,plain,
( ~ sQ48_spl
| ~ sQ50_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f1000,f994]) ).
fof(f1992,plain,
( ~ sQ13_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1953,f840,f879]) ).
fof(f1993,plain,
( ~ sQ37_spl
| e1 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f958,f114]) ).
fof(f1994,plain,
( ~ sQ28_spl
| e0 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f929,f112]) ).
fof(f1996,plain,
( ~ sQ5_spl
| e1 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f854,f84]) ).
fof(f1997,plain,
( ~ sQ5_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f1996,f905,f853]) ).
fof(f1998,plain,
( ~ sQ50_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f1930,f1038,f999]) ).
fof(f2002,plain,
( sQ107_spl
| ~ sQ28_spl
| op(e1,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f929,f1272]) ).
fof(f2004,plain,
( ~ sQ29_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f1931,f892,f931]) ).
fof(f2006,plain,
( ~ sQ21_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f906,f1919]) ).
fof(f2007,plain,
( ~ sQ21_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f2006]) ).
fof(f2009,plain,
( ~ sQ57_spl
| ~ sQ58_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f1026,f1023]) ).
fof(f2010,plain,
( ~ sQ57_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2009,f129]) ).
fof(f2011,plain,
( ~ sQ57_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f2010]) ).
fof(f2013,plain,
( ~ sQ20_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f903,f1994]) ).
fof(f2014,plain,
( ~ sQ20_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f2013]) ).
fof(f2015,plain,
( ~ sQ8_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f1911,f876,f863]) ).
fof(f2016,plain,
( ~ sQ35_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f951,f79]) ).
fof(f2017,plain,
( ~ sQ52_spl
| ~ sQ54_spl
| e2 = e0 ),
inference(backward_demodulation,[status(thm)],[f1013,f1007]) ).
fof(f2018,plain,
( ~ sQ6_spl
| e2 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f857,f106]) ).
fof(f2019,plain,
( ~ sQ35_spl
| op(e3,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f951,f83]) ).
fof(f2020,plain,
( ~ sQ18_spl
| e2 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f896,f109]) ).
fof(f2021,plain,
( ~ sQ63_spl
| op(e3,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f1042,f125]) ).
fof(f2022,plain,
( ~ sQ63_spl
| e3 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f1042,f100]) ).
fof(f2023,plain,
( ~ sQ63_spl
| op(e2,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f1042,f101]) ).
fof(f2036,plain,
( ~ sQ51_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1003,f2019]) ).
fof(f2037,plain,
( ~ sQ51_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f2036]) ).
fof(f2038,plain,
( ~ sQ55_spl
| ~ sQ54_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f1013,f1016]) ).
fof(f2039,plain,
( ~ sQ55_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2038,f131]) ).
fof(f2040,plain,
( ~ sQ55_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f2039]) ).
fof(f2041,plain,
( ~ sQ33_spl
| e1 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f945,f115]) ).
fof(f2042,plain,
( ~ sQ19_spl
| ~ sQ18_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f896,f899]) ).
fof(f2043,plain,
( ~ sQ19_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2042,f131]) ).
fof(f2044,plain,
( ~ sQ19_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f2043]) ).
fof(f2046,plain,
( ~ sQ30_spl
| e2 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f935,f96]) ).
fof(f2047,plain,
( ~ sQ30_spl
| e2 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f935,f99]) ).
fof(f2048,plain,
( ~ sQ26_spl
| e2 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f922,f94]) ).
fof(f2050,plain,
( ~ sQ42_spl
| op(e0,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f974,f91]) ).
fof(f2052,plain,
( ~ sQ42_spl
| op(e3,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f974,f95]) ).
fof(f2066,plain,
( ~ sQ39_spl
| op(e3,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f964,f89]) ).
fof(f2067,plain,
( ~ sQ27_spl
| ~ sQ26_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f922,f925]) ).
fof(f2068,plain,
( ~ sQ27_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2067,f131]) ).
fof(f2069,plain,
( ~ sQ27_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f2068]) ).
fof(f2071,plain,
( ~ sQ39_spl
| op(e1,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f964,f87]) ).
fof(f2072,plain,
( ~ sQ10_spl
| ~ sQ6_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f857,f1882]) ).
fof(f2073,plain,
( ~ sQ10_spl
| ~ sQ6_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2072]) ).
fof(f2074,plain,
( ~ sQ10_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f2073]) ).
fof(f2075,plain,
( ~ sQ55_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1016,f2066]) ).
fof(f2076,plain,
( ~ sQ55_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f2075]) ).
fof(f2079,plain,
( sQ98_spl
| ~ sQ42_spl
| op(e2,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f974,f1225]) ).
fof(f2080,plain,
( sQ98_spl
| ~ sQ42_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f974,f2079]) ).
fof(f2081,plain,
( sQ98_spl
| ~ sQ42_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2080]) ).
fof(f2082,plain,
( sQ98_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f2081]) ).
fof(f2083,plain,
( sQ96_spl
| ~ sQ33_spl
| op(e2,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f945,f1217]) ).
fof(f2084,plain,
( ~ sQ29_spl
| ~ sQ30_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f935,f932]) ).
fof(f2085,plain,
( ~ sQ29_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2084,f129]) ).
fof(f2086,plain,
( ~ sQ29_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f2085]) ).
fof(f2088,plain,
( ~ sQ24_spl
| ~ sQ32_spl
| ~ sQ33_spl
| e1 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f2096,f1886]) ).
fof(f2096,plain,
( ~ sQ32_spl
| ~ sQ33_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f945,f942]) ).
fof(f2098,plain,
( ~ sQ24_spl
| ~ sQ32_spl
| ~ sQ33_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f2088,f905,f944,f941,f915]) ).
fof(f2104,plain,
( ~ sQ10_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f1884,f843,f869]) ).
fof(f2105,plain,
( ~ sQ24_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f1887,f928,f915]) ).
fof(f2106,plain,
( ~ sQ63_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f2022,f937,f1041]) ).
fof(f2107,plain,
( ~ sQ63_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f2021,f1028,f1041]) ).
fof(f2108,plain,
( ~ sQ26_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f2048,f1025,f921]) ).
fof(f2109,plain,
( ~ sQ15_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1885,f131]) ).
fof(f2110,plain,
( ~ sQ15_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f2109]) ).
fof(f2111,plain,
( ~ sQ30_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f2047,f986,f934]) ).
fof(f2112,plain,
( ~ sQ45_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1914,f944,f983]) ).
fof(f2113,plain,
( ~ sQ33_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f2041,f970,f944]) ).
fof(f2114,plain,
( ~ sQ16_spl
| e0 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f890,f110]) ).
fof(f2115,plain,
( ~ sQ49_spl
| op(e0,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f997,f80]) ).
fof(f2116,plain,
( ~ sQ16_spl
| e0 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f890,f108]) ).
fof(f2117,plain,
( ~ sQ16_spl
| op(e0,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f890,f78]) ).
fof(f2118,plain,
( ~ sQ49_spl
| e1 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f997,f122]) ).
fof(f2119,plain,
( ~ sQ16_spl
| e0 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f890,f81]) ).
fof(f2120,plain,
( ~ sQ16_spl
| e0 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f890,f82]) ).
fof(f2124,plain,
( ~ sQ36_spl
| op(e2,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f955,f117]) ).
fof(f2125,plain,
( ~ sQ36_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f2124,f967,f954]) ).
fof(f2126,plain,
( ~ sQ7_spl
| op(e1,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f860,f84]) ).
fof(f2128,plain,
( ~ sQ7_spl
| op(e3,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f860,f86]) ).
fof(f2130,plain,
( ~ sQ7_spl
| op(e2,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f860,f85]) ).
fof(f2131,plain,
( ~ sQ49_spl
| ~ sQ68_spl
| ~ sQ56_spl
| e2 = e1 ),
inference(backward_demodulation,[status(thm)],[f2132,f997]) ).
fof(f2132,plain,
( ~ sQ68_spl
| ~ sQ56_spl
| op(e3,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f1020,f1096]) ).
fof(f2133,plain,
( ~ sQ49_spl
| ~ sQ68_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2131,f129]) ).
fof(f2134,plain,
( ~ sQ49_spl
| ~ sQ68_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f2133]) ).
fof(f2135,plain,
( ~ sQ20_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f903,f2116]) ).
fof(f2136,plain,
( ~ sQ20_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f2135]) ).
fof(f2138,plain,
( ~ sQ5_spl
| ~ sQ7_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f860,f854]) ).
fof(f2139,plain,
( ~ sQ5_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2138,f130]) ).
fof(f2140,plain,
( ~ sQ5_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f2139]) ).
fof(f2141,plain,
( ~ sQ52_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2017,f127]) ).
fof(f2142,plain,
( ~ sQ52_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f2141]) ).
fof(f2143,plain,
( ~ sQ24_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f1886,f902,f915]) ).
fof(f2144,plain,
( ~ sQ16_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f2117,f837,f889]) ).
fof(f2145,plain,
( ~ sQ50_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f1929,f843,f999]) ).
fof(f2146,plain,
( ~ sQ39_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f2071,f911,f963]) ).
fof(f2147,plain,
( ~ sQ63_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f2023,f989,f1041]) ).
fof(f2148,plain,
( ~ sQ16_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f2114,f928,f889]) ).
fof(f2149,plain,
( ~ sQ49_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f2118,f1035,f996]) ).
fof(f2150,plain,
( sQ107_spl
| ~ sQ28_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f2002,f898,f928,f1270]) ).
fof(f2151,plain,
( ~ sQ49_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f2115,f840,f996]) ).
fof(f2152,plain,
( ~ sQ38_spl
| op(e2,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f961,f114]) ).
fof(f2153,plain,
( ~ sQ38_spl
| e2 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f961,f118]) ).
fof(f2154,plain,
( ~ sQ38_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f2152,f947,f960]) ).
fof(f2156,plain,
( ~ sQ9_spl
| op(e1,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f867,f90]) ).
fof(f2157,plain,
( ~ sQ9_spl
| e1 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f867,f107]) ).
fof(f2158,plain,
( ~ sQ38_spl
| e2 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f961,f89]) ).
fof(f2159,plain,
( ~ sQ9_spl
| e1 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f867,f91]) ).
fof(f2160,plain,
( ~ sQ38_spl
| e2 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f961,f87]) ).
fof(f2162,plain,
( ~ sQ9_spl
| e1 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f867,f103]) ).
fof(f2164,plain,
( ~ sQ38_spl
| op(e2,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f961,f117]) ).
fof(f2165,plain,
( ~ sQ38_spl
| op(e0,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f961,f85]) ).
fof(f2167,plain,
( ~ sQ22_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f909,f2160]) ).
fof(f2168,plain,
( ~ sQ22_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f2167]) ).
fof(f2169,plain,
( ~ sQ7_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f2130,f963,f859]) ).
fof(f2171,plain,
( ~ sQ1_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f841,f2162]) ).
fof(f2172,plain,
( ~ sQ1_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f2171]) ).
fof(f2173,plain,
( ~ sQ41_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f971,f2159]) ).
fof(f2174,plain,
( ~ sQ41_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f2173]) ).
fof(f2175,plain,
( ~ sQ42_spl
| op(e2,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f974,f115]) ).
fof(f2179,plain,
( ~ sQ42_spl
| e2 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f974,f93]) ).
fof(f2181,plain,
( ~ sQ42_spl
| op(e2,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f974,f119]) ).
fof(f2182,plain,
( ~ sQ42_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f2175,f947,f973]) ).
fof(f2183,plain,
( ~ sQ42_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f2181,f986,f973]) ).
fof(f2194,plain,
( ~ sQ0_spl
| e0 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f838,f102]) ).
fof(f2196,plain,
( ~ sQ0_spl
| e0 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f838,f80]) ).
fof(f2197,plain,
( ~ sQ0_spl
| op(e2,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f838,f79]) ).
fof(f2198,plain,
( ~ sQ0_spl
| e0 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f838,f104]) ).
fof(f2203,plain,
( ~ sQ0_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f2194,f850,f837]) ).
fof(f2213,plain,
( sQ111_spl
| ~ sQ0_spl
| op(e0,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f838,f1306]) ).
fof(f2214,plain,
( sQ111_spl
| ~ sQ0_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f838,f2213]) ).
fof(f2215,plain,
( sQ111_spl
| ~ sQ0_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2214]) ).
fof(f2216,plain,
( sQ111_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f2215]) ).
fof(f2220,plain,
( sQ78_spl
| ~ sQ22_spl
| e3 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f909,f1140]) ).
fof(f2221,plain,
( sQ80_spl
| ~ sQ22_spl
| e0 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f909,f1147]) ).
fof(f2223,plain,
( ~ sQ22_spl
| op(e0,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f909,f84]) ).
fof(f2224,plain,
( ~ sQ22_spl
| e2 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f909,f108]) ).
fof(f2225,plain,
( ~ sQ22_spl
| e2 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f909,f111]) ).
fof(f2226,plain,
( ~ sQ22_spl
| op(e1,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f909,f112]) ).
fof(f2228,plain,
( sQ76_spl
| ~ sQ22_spl
| e0 != op(op(e1,e1),e2) ),
inference(backward_demodulation,[status(thm)],[f909,f1133]) ).
fof(f2229,plain,
( sQ81_spl
| ~ sQ22_spl
| e3 != op(op(e1,e1),e2) ),
inference(backward_demodulation,[status(thm)],[f909,f1152]) ).
fof(f2230,plain,
( sQ79_spl
| ~ sQ22_spl
| op(op(e1,e1),e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f909,f1144]) ).
fof(f2231,plain,
( ~ sQ22_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f2225,f921,f908]) ).
fof(f2232,plain,
( sQ78_spl
| ~ sQ22_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f2220,f963,f908,f1138]) ).
fof(f2233,plain,
( ~ sQ22_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f2226,f934,f908]) ).
fof(f2234,plain,
( sQ76_spl
| ~ sQ22_spl
| e0 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f909,f2228]) ).
fof(f2235,plain,
( sQ80_spl
| ~ sQ22_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f2221,f954,f908,f1145]) ).
fof(f2236,plain,
( sQ79_spl
| ~ sQ22_spl
| op(e2,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f909,f2230]) ).
fof(f2237,plain,
( sQ81_spl
| ~ sQ22_spl
| e3 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f909,f2229]) ).
fof(f2238,plain,
( ~ sQ22_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f2223,f856,f908]) ).
fof(f2239,plain,
( ~ sQ37_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f1941,f970,f957]) ).
fof(f2240,plain,
( ~ sQ68_spl
| ~ sQ56_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f2132,f999,f1019,f1095]) ).
fof(f2241,plain,
( sQ76_spl
| ~ sQ22_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f2234,f967,f908,f1131]) ).
fof(f2242,plain,
( ~ sQ47_spl
| op(e0,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f990,f97]) ).
fof(f2243,plain,
( ~ sQ47_spl
| e3 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f990,f99]) ).
fof(f2245,plain,
( ~ sQ47_spl
| op(e2,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f990,f116]) ).
fof(f2246,plain,
( ~ sQ47_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f2242,f885,f989]) ).
fof(f2249,plain,
( ~ sQ59_spl
| e3 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f1029,f92]) ).
fof(f2250,plain,
( ~ sQ59_spl
| op(e3,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f1029,f121]) ).
fof(f2251,plain,
( ~ sQ59_spl
| e3 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f1029,f94]) ).
fof(f2253,plain,
( ~ sQ59_spl
| e3 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f1029,f123]) ).
fof(f2254,plain,
( ~ sQ59_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f2249,f872,f1028]) ).
fof(f2256,plain,
( ~ sQ53_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1889,f853,f1009]) ).
fof(f2259,plain,
( ~ sQ57_spl
| ~ sQ59_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f1029,f1023]) ).
fof(f2260,plain,
( ~ sQ57_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2259,f130]) ).
fof(f2261,plain,
( ~ sQ57_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f2260]) ).
fof(f2262,plain,
( ~ sQ37_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1993,f944,f957]) ).
fof(f2263,plain,
( ~ sQ9_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f2157,f879,f866]) ).
fof(f2264,plain,
( ~ sQ38_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f2153,f986,f960]) ).
fof(f2265,plain,
( ~ sQ0_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f2198,f876,f837]) ).
fof(f2266,plain,
( sQ99_spl
| ~ sQ45_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f1909,f963,f983,f1227]) ).
fof(f2267,plain,
( ~ sQ59_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f2250,f1002,f1028]) ).
fof(f2268,plain,
( ~ sQ59_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f2251,f924,f1028]) ).
fof(f2269,plain,
( ~ sQ6_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f2018,f882,f856]) ).
fof(f2270,plain,
( ~ sQ42_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f2052,f1025,f973]) ).
fof(f2272,plain,
( ~ sQ9_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f2156,f918,f866]) ).
fof(f2273,plain,
( ~ sQ0_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f2196,f993,f837]) ).
fof(f2278,plain,
( ~ sQ9_spl
| op(e0,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f867,f105]) ).
fof(f2280,plain,
( ~ sQ9_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f2278,f853,f866]) ).
fof(f2281,plain,
( sQ81_spl
| ~ sQ22_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f2237,f976,f908,f1150]) ).
fof(f2282,plain,
( ~ sQ31_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f1946,f898,f937]) ).
fof(f2283,plain,
( ~ sQ37_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1932,f853,f957]) ).
fof(f2284,plain,
( ~ sQ8_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f1910,f915,f863]) ).
fof(f2285,plain,
( ~ sQ38_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f2164,f973,f960]) ).
fof(f2286,plain,
( ~ sQ42_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2050,f869,f973]) ).
fof(f2287,plain,
( ~ sQ44_spl
| e0 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f981,f99]) ).
fof(f2288,plain,
( ~ sQ44_spl
| op(e2,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f981,f118]) ).
fof(f2290,plain,
( ~ sQ44_spl
| op(e3,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f981,f101]) ).
fof(f2291,plain,
( ~ sQ44_spl
| op(e2,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f981,f116]) ).
fof(f2292,plain,
( ~ sQ44_spl
| e0 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f981,f97]) ).
fof(f2293,plain,
( ~ sQ44_spl
| e0 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f981,f119]) ).
fof(f2294,plain,
( ~ sQ44_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f2292,f876,f980]) ).
fof(f2295,plain,
( ~ sQ44_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f2290,f1032,f980]) ).
fof(f2296,plain,
( ~ sQ37_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f1942,f983,f957]) ).
fof(f2297,plain,
( ~ sQ36_spl
| ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1924,f126]) ).
fof(f2298,plain,
( ~ sQ36_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f2297]) ).
fof(f2299,plain,
( ~ sQ56_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f1912,f993,f1019]) ).
fof(f2300,plain,
( ~ sQ56_spl
| ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1925,f126]) ).
fof(f2301,plain,
( ~ sQ56_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f2300]) ).
fof(f2303,plain,
( ~ sQ15_spl
| e3 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f886,f98]) ).
fof(f2304,plain,
( ~ sQ15_spl
| e3 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f886,f96]) ).
fof(f2307,plain,
( ~ sQ15_spl
| op(e0,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f886,f107]) ).
fof(f2309,plain,
( sQ73_spl
| ~ sQ2_spl
| op(op(e0,e0),e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f844,f1120]) ).
fof(f2310,plain,
( ~ sQ2_spl
| op(e2,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f844,f79]) ).
fof(f2311,plain,
( ~ sQ2_spl
| op(e1,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f844,f78]) ).
fof(f2312,plain,
( sQ70_spl
| ~ sQ2_spl
| e1 != op(op(e0,e0),e2) ),
inference(backward_demodulation,[status(thm)],[f844,f1109]) ).
fof(f2313,plain,
( sQ75_spl
| ~ sQ2_spl
| op(op(e0,e0),e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f844,f1128]) ).
fof(f2315,plain,
( ~ sQ2_spl
| op(e0,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f844,f102]) ).
fof(f2316,plain,
( ~ sQ2_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f2315,f856,f843]) ).
fof(f2317,plain,
( sQ70_spl
| ~ sQ2_spl
| e1 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f844,f2312]) ).
fof(f2318,plain,
( sQ75_spl
| ~ sQ2_spl
| e3 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f844,f2313]) ).
fof(f2319,plain,
( sQ73_spl
| ~ sQ2_spl
| e2 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f844,f2309]) ).
fof(f2320,plain,
( ~ sQ50_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f1954,f895,f999]) ).
fof(f2321,plain,
( ~ sQ7_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f2126,f911,f859]) ).
fof(f2322,plain,
( ~ sQ22_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f2224,f895,f908]) ).
fof(f2323,plain,
( ~ sQ47_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f2245,f950,f989]) ).
fof(f2324,plain,
( sQ79_spl
| ~ sQ22_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f2236,f973,f908,f1142]) ).
fof(f2325,plain,
( sQ96_spl
| ~ sQ33_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f2083,f954,f944,f1215]) ).
fof(f2326,plain,
( sQ75_spl
| ~ sQ2_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f2318,f976,f843,f1126]) ).
fof(f2327,plain,
( ~ sQ44_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f2287,f928,f980]) ).
fof(f2328,plain,
( ~ sQ44_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f2293,f967,f980]) ).
fof(f2329,plain,
( ~ sQ44_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f2291,f941,f980]) ).
fof(f2330,plain,
( ~ sQ0_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f2197,f941,f837]) ).
fof(f2331,plain,
( sQ70_spl
| ~ sQ2_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f2317,f970,f843,f1107]) ).
fof(f2332,plain,
( sQ73_spl
| ~ sQ2_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f2319,f973,f843,f1118]) ).
fof(f2333,plain,
( ~ sQ15_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f2303,f1041,f885]) ).
fof(f2334,plain,
( ~ sQ38_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f2158,f1012,f960]) ).
fof(f2337,plain,
( ~ sQ17_spl
| op(e0,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f893,f78]) ).
fof(f2338,plain,
( ~ sQ17_spl
| op(e1,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f893,f108]) ).
fof(f2339,plain,
( ~ sQ17_spl
| e1 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f893,f81]) ).
fof(f2341,plain,
( ~ sQ17_spl
| op(e3,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f893,f82]) ).
fof(f2342,plain,
( ~ sQ17_spl
| e1 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f893,f109]) ).
fof(f2344,plain,
( ~ sQ69_spl
| ~ sQ61_spl
| e3 = op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f1036,f1100]) ).
fof(f2346,plain,
( sQ92_spl
| ~ sQ61_spl
| op(e1,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f1036,f1195]) ).
fof(f2347,plain,
( ~ sQ61_spl
| e1 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f1036,f98]) ).
fof(f2349,plain,
( ~ sQ61_spl
| op(e2,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f1036,f101]) ).
fof(f2350,plain,
( ~ sQ61_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f1036,f125]) ).
fof(f2352,plain,
( ~ sQ61_spl
| op(e1,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f1036,f100]) ).
fof(f2353,plain,
( ~ sQ61_spl
| e1 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f1036,f124]) ).
fof(f2354,plain,
( sQ88_spl
| ~ sQ61_spl
| e0 != op(op(e3,e3),e1) ),
inference(backward_demodulation,[status(thm)],[f1036,f1181]) ).
fof(f2356,plain,
( ~ sQ69_spl
| ~ sQ61_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2344,f2253]) ).
fof(f2357,plain,
( ~ sQ69_spl
| ~ sQ61_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f2356]) ).
fof(f2358,plain,
( ~ sQ16_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f2119,f941,f889]) ).
fof(f2359,plain,
( ~ sQ35_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f2016,f846,f950]) ).
fof(f2360,plain,
( ~ sQ68_spl
| ~ sQ59_spl
| e2 = op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f1029,f1096]) ).
fof(f2366,plain,
( ~ sQ59_spl
| e3 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f1029,f95]) ).
fof(f2367,plain,
( ~ sQ68_spl
| ~ sQ59_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f2360,f1038,f1028,f1095]) ).
fof(f2370,plain,
( ~ sQ48_spl
| ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1976,f127]) ).
fof(f2371,plain,
( ~ sQ48_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f2370]) ).
fof(f2372,plain,
( ~ sQ59_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f2366,f976,f1028]) ).
fof(f2374,plain,
( ~ sQ2_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f2311,f895,f843]) ).
fof(f2375,plain,
( ~ sQ55_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1016,f2253]) ).
fof(f2376,plain,
( ~ sQ55_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f2375]) ).
fof(f2377,plain,
( ~ sQ7_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f2128,f1015,f859]) ).
fof(f2378,plain,
( ~ sQ47_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f2243,f937,f989]) ).
fof(f2379,plain,
( ~ sQ17_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f2337,f840,f892]) ).
fof(f2380,plain,
( ~ sQ17_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f2342,f918,f892]) ).
fof(f2381,plain,
( ~ sQ16_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f2120,f993,f889]) ).
fof(f2382,plain,
( ~ sQ7_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1952,f846,f859]) ).
fof(f2385,plain,
( ~ sQ24_spl
| op(e2,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f916,f93]) ).
fof(f2387,plain,
( ~ sQ24_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f2385,f967,f915]) ).
fof(f2388,plain,
( ~ sQ17_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f2341,f996,f892]) ).
fof(f2392,plain,
( ~ sQ19_spl
| op(e1,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f899,f108]) ).
fof(f2393,plain,
( ~ sQ19_spl
| e3 != op(e0,e0) ),
inference(backward_demodulation,[status(thm)],[f899,f78]) ).
fof(f2394,plain,
( ~ sQ19_spl
| op(e2,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f899,f81]) ).
fof(f2395,plain,
( ~ sQ19_spl
| op(e3,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f899,f82]) ).
fof(f2396,plain,
( ~ sQ19_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f2393,f846,f898]) ).
fof(f2397,plain,
( ~ sQ42_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f2179,f921,f973]) ).
fof(f2399,plain,
( ~ sQ61_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f2349,f983,f1035]) ).
fof(f2400,plain,
( ~ sQ17_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f2338,f905,f892]) ).
fof(f2417,plain,
( sQ93_spl
| ~ sQ60_spl
| op(op(e3,e3),e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f1033,f1200]) ).
fof(f2418,plain,
( sQ91_spl
| ~ sQ60_spl
| e1 != op(op(e3,e3),e0) ),
inference(backward_demodulation,[status(thm)],[f1033,f1192]) ).
fof(f2420,plain,
( ~ sQ60_spl
| op(e0,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f1033,f98]) ).
fof(f2421,plain,
( ~ sQ60_spl
| e0 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f1033,f122]) ).
fof(f2423,plain,
( ~ sQ60_spl
| op(e3,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f1033,f124]) ).
fof(f2424,plain,
( ~ sQ60_spl
| e0 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f1033,f125]) ).
fof(f2426,plain,
( ~ sQ60_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f2420,f876,f1032]) ).
fof(f2427,plain,
( sQ91_spl
| ~ sQ60_spl
| e1 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f1033,f2418]) ).
fof(f2428,plain,
( sQ93_spl
| ~ sQ60_spl
| e2 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f1033,f2417]) ).
fof(f2429,plain,
( ~ sQ60_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f2423,f1006,f1032]) ).
fof(f2430,plain,
( ~ sQ60_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f2421,f993,f1032]) ).
fof(f2432,plain,
( ~ sQ40_spl
| ~ sQ42_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f974,f968]) ).
fof(f2433,plain,
( ~ sQ40_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2432,f127]) ).
fof(f2434,plain,
( ~ sQ40_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f2433]) ).
fof(f2435,plain,
( ~ sQ61_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f2353,f1009,f1035]) ).
fof(f2437,plain,
( ~ sQ61_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f2347,f879,f1035]) ).
fof(f2438,plain,
( ~ sQ60_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f2424,f1019,f1032]) ).
fof(f2439,plain,
( sQ91_spl
| ~ sQ60_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f2427,f840,f1032,f1190]) ).
fof(f2440,plain,
( ~ sQ61_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f2352,f931,f1035]) ).
fof(f2442,plain,
( ~ sQ20_spl
| e0 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f903,f84]) ).
fof(f2443,plain,
( ~ sQ20_spl
| e0 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f903,f87]) ).
fof(f2446,plain,
( ~ sQ20_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f2443,f954,f902]) ).
fof(f2447,plain,
( ~ sQ38_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f2165,f856,f960]) ).
fof(f2451,plain,
( ~ sQ36_spl
| e0 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f955,f114]) ).
fof(f2454,plain,
( ~ sQ36_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f2451,f941,f954]) ).
fof(f2455,plain,
( ~ sQ44_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f2288,f954,f980]) ).
fof(f2456,plain,
( ~ sQ19_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f2392,f911,f898]) ).
fof(f2457,plain,
( ~ sQ19_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f2394,f950,f898]) ).
fof(f2458,plain,
( ~ sQ15_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f2307,f872,f885]) ).
fof(f2459,plain,
( ~ sQ18_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f2020,f921,f895]) ).
fof(f2460,plain,
( ~ sQ24_spl
| op(e1,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f916,f109]) ).
fof(f2477,plain,
( ~ sQ0_spl
| op(e0,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f838,f103]) ).
fof(f2485,plain,
( ~ sQ52_spl
| e0 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f1007,f123]) ).
fof(f2487,plain,
( ~ sQ52_spl
| op(e3,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f1007,f120]) ).
fof(f2497,plain,
( ~ sQ37_spl
| e1 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f958,f87]) ).
fof(f2501,plain,
( ~ sQ112_spl
| ~ sQ7_spl
| op(e0,e3) = e1 ),
inference(backward_demodulation,[status(thm)],[f860,f1309]) ).
fof(f2506,plain,
( ~ sQ112_spl
| ~ sQ7_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f2501,f879,f859,f1308]) ).
fof(f2526,plain,
( ~ sQ50_spl
| op(e2,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f1000,f83]) ).
fof(f2527,plain,
( ~ sQ50_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f2526,f947,f999]) ).
fof(f2538,plain,
( ~ sQ10_spl
| e2 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f870,f107]) ).
fof(f2539,plain,
( ~ sQ5_spl
| op(e0,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f854,f106]) ).
fof(f2541,plain,
( ~ sQ5_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f2539,f879,f853]) ).
fof(f2542,plain,
( ~ sQ37_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f2497,f905,f957]) ).
fof(f2547,plain,
( ~ sQ11_spl
| op(e0,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f873,f105]) ).
fof(f2549,plain,
( ~ sQ29_spl
| e1 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f932,f112]) ).
fof(f2552,plain,
( ~ sQ29_spl
| e1 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f932,f96]) ).
fof(f2557,plain,
( ~ sQ11_spl
| op(e2,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f873,f91]) ).
fof(f2561,plain,
( ~ sQ55_spl
| e3 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f1016,f120]) ).
fof(f2566,plain,
( ~ sQ69_spl
| ~ sQ60_spl
| op(e3,e0) = e3 ),
inference(backward_demodulation,[status(thm)],[f1033,f1100]) ).
fof(f2575,plain,
( ~ sQ69_spl
| ~ sQ60_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2566,f2561]) ).
fof(f2576,plain,
( ~ sQ69_spl
| ~ sQ60_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f2575]) ).
fof(f2577,plain,
( ~ sQ24_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f2460,f889,f915]) ).
fof(f2578,plain,
( ~ sQ52_spl
| ~ sQ55_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f1016,f1007]) ).
fof(f2579,plain,
( ~ sQ52_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2578,f128]) ).
fof(f2580,plain,
( ~ sQ52_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f2579]) ).
fof(f2586,plain,
( ~ sQ66_spl
| ~ sQ50_spl
| op(e3,e2) = e0 ),
inference(backward_demodulation,[status(thm)],[f1000,f1088]) ).
fof(f2587,plain,
( ~ sQ66_spl
| ~ sQ50_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f2586,f1019,f999,f1087]) ).
fof(f2595,plain,
( ~ sQ36_spl
| op(e0,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f955,f85]) ).
fof(f2601,plain,
( ~ sQ23_spl
| e3 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f912,f88]) ).
fof(f2603,plain,
( sQ77_spl
| ~ sQ23_spl
| op(e3,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f912,f1136]) ).
fof(f2608,plain,
( ~ sQ99_spl
| ~ sQ45_spl
| e3 = op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f984,f1228]) ).
fof(f2612,plain,
( ~ sQ45_spl
| e1 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f984,f119]) ).
fof(f2614,plain,
( ~ sQ45_spl
| e1 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f984,f97]) ).
fof(f2616,plain,
( ~ sQ99_spl
| ~ sQ45_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f2608,f963,f983,f1227]) ).
fof(f2617,plain,
( ~ sQ105_spl
| ~ sQ23_spl
| e1 = op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f912,f1263]) ).
fof(f2618,plain,
( ~ sQ105_spl
| ~ sQ23_spl
| sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2617,f933]) ).
fof(f2619,plain,
( ~ sQ105_spl
| ~ sQ23_spl
| sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f2618]) ).
fof(f2621,plain,
( ~ sQ106_spl
| ~ sQ24_spl
| e2 = op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f916,f1267]) ).
fof(f2622,plain,
( ~ sQ106_spl
| ~ sQ24_spl
| sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2621,f897]) ).
fof(f2623,plain,
( ~ sQ106_spl
| ~ sQ24_spl
| sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f2622]) ).
fof(f2624,plain,
( ~ sQ2_spl
| sQ93_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f844,f2428]) ).
fof(f2625,plain,
( ~ sQ2_spl
| sQ93_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f2624]) ).
fof(f2628,plain,
( ~ sQ69_spl
| ~ sQ60_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f2566,f1002,f1032,f1099]) ).
fof(f2629,plain,
( ~ sQ45_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f2614,f879,f983]) ).
fof(f2630,plain,
( ~ sQ53_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f1923,f996,f1009]) ).
fof(f2631,plain,
( ~ sQ10_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f1883,f1025,f869]) ).
fof(f2632,plain,
( ~ sQ29_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f2552,f879,f931]) ).
fof(f2633,plain,
( ~ sQ20_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f2442,f850,f902]) ).
fof(f2635,plain,
( ~ sQ55_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f2561,f1002,f1015]) ).
fof(f2636,plain,
( ~ sQ19_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f2395,f1002,f898]) ).
fof(f2637,plain,
( ~ sQ30_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f2046,f882,f934]) ).
fof(f2638,plain,
( ~ sQ0_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2477,f863,f837]) ).
fof(f2639,plain,
( ~ sQ36_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f2595,f850,f954]) ).
fof(f2640,plain,
( ~ sQ29_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f2549,f905,f931]) ).
fof(f2641,plain,
( ~ sQ11_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f2557,f976,f872]) ).
fof(f2645,plain,
( ~ sQ63_spl
| op(e3,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f1042,f122]) ).
fof(f2650,plain,
( ~ sQ63_spl
| e3 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f1042,f124]) ).
fof(f2653,plain,
( ~ sQ57_spl
| e1 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f1023,f121]) ).
fof(f2657,plain,
( ~ sQ57_spl
| e1 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f1023,f95]) ).
fof(f2664,plain,
( ~ sQ6_spl
| op(e3,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f857,f86]) ).
fof(f2671,plain,
( ~ sQ26_spl
| e2 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f922,f90]) ).
fof(f2677,plain,
( ~ sQ46_spl
| e2 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f987,f97]) ).
fof(f2679,plain,
( ~ sQ46_spl
| op(e2,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f987,f116]) ).
fof(f2713,plain,
( ~ sQ98_spl
| ~ sQ40_spl
| e2 = op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f968,f1224]) ).
fof(f2714,plain,
( sQ87_spl
| ~ sQ40_spl
| op(op(e2,e2),e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f968,f1176]) ).
fof(f2717,plain,
( sQ85_spl
| ~ sQ40_spl
| e1 != op(op(e2,e2),e0) ),
inference(backward_demodulation,[status(thm)],[f968,f1168]) ).
fof(f2718,plain,
( ~ sQ40_spl
| e0 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f968,f115]) ).
fof(f2719,plain,
( sQ87_spl
| ~ sQ40_spl
| e3 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f968,f2714]) ).
fof(f2720,plain,
( ~ sQ98_spl
| ~ sQ40_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f2713,f947,f967,f1223]) ).
fof(f2721,plain,
( sQ85_spl
| ~ sQ40_spl
| e1 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f968,f2717]) ).
fof(f2724,plain,
( sQ85_spl
| ~ sQ43_spl
| op(e3,op(e2,e2)) != e1 ),
inference(forward_demodulation,[status(thm)],[f977,f1168]) ).
fof(f2725,plain,
( sQ85_spl
| ~ sQ43_spl
| e1 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f977,f2724]) ).
fof(f2727,plain,
( sQ88_spl
| ~ sQ62_spl
| e0 != op(op(e3,e3),e2) ),
inference(backward_demodulation,[status(thm)],[f1039,f1181]) ).
fof(f2728,plain,
( ~ sQ62_spl
| e2 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f1039,f98]) ).
fof(f2730,plain,
( sQ88_spl
| ~ sQ62_spl
| op(e2,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f1039,f2727]) ).
fof(f2741,plain,
( sQ82_spl
| ~ sQ43_spl
| op(e3,op(e2,e2)) != e0 ),
inference(forward_demodulation,[status(thm)],[f977,f1157]) ).
fof(f2742,plain,
( sQ82_spl
| ~ sQ43_spl
| e0 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f977,f2741]) ).
fof(f2756,plain,
( ~ sQ106_spl
| ~ sQ25_spl
| e2 = op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f919,f1267]) ).
fof(f2757,plain,
( ~ sQ106_spl
| ~ sQ25_spl
| sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2756,f910]) ).
fof(f2758,plain,
( ~ sQ106_spl
| ~ sQ25_spl
| sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f2757]) ).
fof(f2761,plain,
( sQ85_spl
| ~ sQ43_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f2725,f1035,f976,f1166]) ).
fof(f2762,plain,
( ~ sQ98_spl
| ~ sQ43_spl
| op(e2,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f977,f1224]) ).
fof(f2763,plain,
( ~ sQ23_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f2601,f1015,f911]) ).
fof(f2767,plain,
( ~ sQ25_spl
| op(e1,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f919,f113]) ).
fof(f2769,plain,
( ~ sQ67_spl
| ~ sQ55_spl
| op(e3,e3) = e1 ),
inference(forward_demodulation,[status(thm)],[f1016,f1092]) ).
fof(f2771,plain,
( sQ83_spl
| ~ sQ43_spl
| op(e3,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f977,f1160]) ).
fof(f2774,plain,
( sQ86_spl
| ~ sQ43_spl
| e0 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f977,f1171]) ).
fof(f2776,plain,
( ~ sQ47_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f1926,f976,f989]) ).
fof(f2777,plain,
( sQ92_spl
| ~ sQ61_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f2346,f928,f1035,f1193]) ).
fof(f2780,plain,
( sQ77_spl
| ~ sQ23_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f2603,f1012,f911,f1134]) ).
fof(f2785,plain,
( ~ sQ67_spl
| ~ sQ55_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f2769,f1035,f1015,f1091]) ).
fof(f2786,plain,
( ~ sQ57_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f2657,f970,f1022]) ).
fof(f2817,plain,
( ~ sQ15_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f886,f104]) ).
fof(f2820,plain,
( ~ sQ93_spl
| ~ sQ60_spl
| op(e0,op(e3,e3)) = e2 ),
inference(forward_demodulation,[status(thm)],[f1033,f1199]) ).
fof(f2829,plain,
( ~ sQ93_spl
| ~ sQ60_spl
| e2 = op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f1033,f2820]) ).
fof(f2831,plain,
( ~ sQ0_spl
| ~ sQ93_spl
| ~ sQ60_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f2829,f838]) ).
fof(f2832,plain,
( ~ sQ0_spl
| ~ sQ93_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2831,f127]) ).
fof(f2833,plain,
( ~ sQ0_spl
| ~ sQ93_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f2832]) ).
fof(f2843,plain,
( ~ sQ54_spl
| op(e3,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f1013,f123]) ).
fof(f2846,plain,
( sQ89_spl
| ~ sQ60_spl
| e1 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f1033,f1184]) ).
fof(f2851,plain,
( sQ84_spl
| ~ sQ40_spl
| op(e0,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f968,f1164]) ).
fof(f2854,plain,
( ~ sQ40_spl
| e0 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f968,f91]) ).
fof(f2877,plain,
( sQ90_spl
| ~ sQ60_spl
| e2 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f1033,f1188]) ).
fof(f2908,plain,
( sQ79_spl
| ~ sQ107_spl
| ~ sQ29_spl
| e2 != op(op(e1,e1),e3) ),
inference(backward_demodulation,[status(thm)],[f2914,f1144]) ).
fof(f2914,plain,
( ~ sQ107_spl
| ~ sQ29_spl
| e3 = op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f932,f1271]) ).
fof(f2915,plain,
( sQ79_spl
| ~ sQ107_spl
| ~ sQ29_spl
| e2 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f2914,f2908]) ).
fof(f2934,plain,
( sQ76_spl
| ~ sQ107_spl
| ~ sQ29_spl
| op(e3,op(e1,e1)) != e0 ),
inference(forward_demodulation,[status(thm)],[f2914,f1133]) ).
fof(f2935,plain,
( sQ76_spl
| ~ sQ107_spl
| ~ sQ29_spl
| op(e3,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f2914,f2934]) ).
fof(f2936,plain,
( sQ76_spl
| ~ sQ107_spl
| ~ sQ29_spl
| ~ sQ60_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f1033,f2935]) ).
fof(f2937,plain,
( sQ76_spl
| ~ sQ107_spl
| ~ sQ29_spl
| ~ sQ60_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2936]) ).
fof(f2938,plain,
( sQ76_spl
| ~ sQ107_spl
| ~ sQ29_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f2937]) ).
fof(f2940,plain,
( sQ87_spl
| ~ sQ40_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f2719,f846,f967,f1174]) ).
fof(f2943,plain,
( ~ sQ2_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f2310,f947,f843]) ).
fof(f2947,plain,
( ~ sQ52_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f2485,f1019,f1006]) ).
fof(f2948,plain,
( ~ sQ15_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f2304,f937,f885]) ).
fof(f2950,plain,
( ~ sQ56_spl
| ~ sQ59_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f1029,f1020]) ).
fof(f2951,plain,
( ~ sQ56_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2950,f128]) ).
fof(f2952,plain,
( ~ sQ56_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f2951]) ).
fof(f2953,plain,
( ~ sQ63_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f2650,f1015,f1041]) ).
fof(f2954,plain,
( ~ sQ25_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f2767,f931,f918]) ).
fof(f2956,plain,
( ~ sQ11_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f2547,f859,f872]) ).
fof(f2957,plain,
( sQ84_spl
| ~ sQ40_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f2851,f872,f967,f1162]) ).
fof(f2959,plain,
( sQ90_spl
| ~ sQ60_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f2877,f882,f1032,f1186]) ).
fof(f2962,plain,
( ~ sQ27_spl
| op(e1,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f925,f113]) ).
fof(f2963,plain,
( ~ sQ27_spl
| op(e2,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f925,f93]) ).
fof(f2968,plain,
( ~ sQ18_spl
| op(e2,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f896,f81]) ).
fof(f2977,plain,
( sQ71_spl
| ~ sQ1_spl
| e2 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f841,f1112]) ).
fof(f2978,plain,
( ~ sQ1_spl
| op(e2,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f841,f79]) ).
fof(f2982,plain,
( sQ73_spl
| ~ sQ1_spl
| e2 != op(op(e0,e0),e1) ),
inference(backward_demodulation,[status(thm)],[f841,f1120]) ).
fof(f2983,plain,
( ~ sQ111_spl
| ~ sQ1_spl
| e0 = op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f841,f1305]) ).
fof(f2985,plain,
( ~ sQ1_spl
| op(e0,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f841,f102]) ).
fof(f2986,plain,
( sQ73_spl
| ~ sQ1_spl
| e2 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f841,f2982]) ).
fof(f2987,plain,
( sQ71_spl
| ~ sQ1_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f2977,f895,f840,f1110]) ).
fof(f2988,plain,
( ~ sQ111_spl
| ~ sQ1_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f2983,f850,f840,f1304]) ).
fof(f3010,plain,
( ~ sQ62_spl
| op(e2,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f1039,f101]) ).
fof(f3015,plain,
( ~ sQ6_spl
| op(e2,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f857,f85]) ).
fof(f3022,plain,
( ~ sQ57_spl
| e1 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f1023,f92]) ).
fof(f3028,plain,
( ~ sQ28_spl
| e0 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f929,f96]) ).
fof(f3032,plain,
( sQ92_spl
| ~ sQ62_spl
| op(e2,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f1039,f1195]) ).
fof(f3048,plain,
( ~ sQ8_spl
| ~ sQ112_spl
| ~ sQ6_spl
| e1 = e0 ),
inference(backward_demodulation,[status(thm)],[f3049,f864]) ).
fof(f3049,plain,
( ~ sQ112_spl
| ~ sQ6_spl
| op(e0,e2) = e1 ),
inference(forward_demodulation,[status(thm)],[f857,f1309]) ).
fof(f3050,plain,
( ~ sQ8_spl
| ~ sQ112_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3048,f126]) ).
fof(f3051,plain,
( ~ sQ8_spl
| ~ sQ112_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f3050]) ).
fof(f3054,plain,
( sQ9_spl
| ~ sQ112_spl
| ~ sQ6_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f3049,f868]) ).
fof(f3055,plain,
( sQ9_spl
| ~ sQ112_spl
| ~ sQ6_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3054]) ).
fof(f3056,plain,
( sQ9_spl
| ~ sQ112_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f3055]) ).
fof(f3060,plain,
( ~ sQ57_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f3022,f866,f1022]) ).
fof(f3062,plain,
( ~ sQ14_spl
| ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f883,f2728]) ).
fof(f3063,plain,
( ~ sQ14_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f3062]) ).
fof(f3064,plain,
( ~ sQ68_spl
| ~ sQ57_spl
| op(e3,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f1023,f1096]) ).
fof(f3065,plain,
( ~ sQ68_spl
| ~ sQ57_spl
| sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3064,f1014]) ).
fof(f3066,plain,
( ~ sQ68_spl
| ~ sQ57_spl
| sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f3065]) ).
fof(f3073,plain,
( sQ70_spl
| ~ sQ3_spl
| op(op(e0,e0),e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f847,f1109]) ).
fof(f3077,plain,
( sQ70_spl
| ~ sQ3_spl
| op(e3,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f847,f3073]) ).
fof(f3081,plain,
( sQ73_spl
| ~ sQ3_spl
| op(e3,op(e0,e0)) != e2 ),
inference(forward_demodulation,[status(thm)],[f847,f1120]) ).
fof(f3082,plain,
( sQ73_spl
| ~ sQ3_spl
| op(e3,e3) != e2 ),
inference(forward_demodulation,[status(thm)],[f847,f3081]) ).
fof(f3083,plain,
( sQ73_spl
| ~ sQ3_spl
| ~ sQ62_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f1039,f3082]) ).
fof(f3084,plain,
( sQ73_spl
| ~ sQ3_spl
| ~ sQ62_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3083]) ).
fof(f3085,plain,
( sQ73_spl
| ~ sQ3_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f3084]) ).
fof(f3086,plain,
( sQ70_spl
| ~ sQ3_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f3077,f1035,f846,f1107]) ).
fof(f3087,plain,
( ~ sQ26_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2671,f869,f921]) ).
fof(f3091,plain,
( ~ sQ1_spl
| ~ sQ3_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f847,f841]) ).
fof(f3092,plain,
( ~ sQ1_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3091,f130]) ).
fof(f3093,plain,
( ~ sQ1_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f3092]) ).
fof(f3103,plain,
( ~ sQ4_spl
| op(e0,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f851,f106]) ).
fof(f3105,plain,
( ~ sQ4_spl
| op(e0,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f851,f105]) ).
fof(f3106,plain,
( ~ sQ4_spl
| op(e3,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f851,f86]) ).
fof(f3125,plain,
( ~ sQ112_spl
| ~ sQ4_spl
| op(e0,e0) = e1 ),
inference(forward_demodulation,[status(thm)],[f851,f1309]) ).
fof(f3126,plain,
( ~ sQ112_spl
| ~ sQ4_spl
| ~ sQ2_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f844,f3125]) ).
fof(f3127,plain,
( ~ sQ112_spl
| ~ sQ4_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3126,f129]) ).
fof(f3128,plain,
( ~ sQ112_spl
| ~ sQ4_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f3127]) ).
fof(f3132,plain,
( ~ sQ46_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f2679,f947,f986]) ).
fof(f3133,plain,
( ~ sQ18_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f2968,f947,f895]) ).
fof(f3136,plain,
( sQ85_spl
| ~ sQ40_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f2721,f840,f967,f1166]) ).
fof(f3140,plain,
( ~ sQ28_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f3028,f876,f928]) ).
fof(f3141,plain,
( ~ sQ45_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f2612,f970,f983]) ).
fof(f3142,plain,
( ~ sQ25_spl
| op(e1,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f919,f111]) ).
fof(f3147,plain,
( ~ sQ25_spl
| op(e2,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f919,f93]) ).
fof(f3204,plain,
( ~ sQ51_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f1003,f80]) ).
fof(f3223,plain,
( sQ81_spl
| ~ sQ20_spl
| op(op(e1,e1),e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f903,f1152]) ).
fof(f3224,plain,
( ~ sQ20_spl
| op(e3,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f903,f88]) ).
fof(f3226,plain,
( sQ81_spl
| ~ sQ20_spl
| op(e0,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f903,f3223]) ).
fof(f3235,plain,
( sQ93_spl
| ~ sQ61_spl
| op(op(e3,e3),e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f1036,f1200]) ).
fof(f3237,plain,
( sQ88_spl
| ~ sQ61_spl
| e0 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f1036,f2354]) ).
fof(f3244,plain,
( sQ88_spl
| ~ sQ61_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f3237,f902,f1035,f1179]) ).
fof(f3245,plain,
( sQ93_spl
| ~ sQ61_spl
| op(e1,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f1036,f3235]) ).
fof(f3258,plain,
( ~ sQ56_spl
| op(e0,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f1020,f92]) ).
fof(f3268,plain,
( ~ sQ111_spl
| ~ sQ3_spl
| e0 = op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f847,f1305]) ).
fof(f3338,plain,
( ~ sQ114_spl
| ~ sQ12_spl
| op(e0,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f877,f1317]) ).
fof(f3345,plain,
( sQ86_spl
| ~ sQ41_spl
| op(e1,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f971,f1171]) ).
fof(f3363,plain,
( sQ82_spl
| ~ sQ41_spl
| e0 != op(e1,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f971,f1157]) ).
fof(f3364,plain,
( sQ82_spl
| ~ sQ41_spl
| e0 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f971,f3363]) ).
fof(f3368,plain,
( sQ74_spl
| ~ sQ3_spl
| op(e3,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f847,f1123]) ).
fof(f3369,plain,
( sQ74_spl
| ~ sQ3_spl
| ~ sQ49_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f997,f3368]) ).
fof(f3370,plain,
( sQ74_spl
| ~ sQ3_spl
| ~ sQ49_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3369]) ).
fof(f3371,plain,
( sQ74_spl
| ~ sQ3_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f3370]) ).
fof(f3374,plain,
( ~ sQ40_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f2718,f941,f967]) ).
fof(f3375,plain,
( ~ sQ15_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f2817,f846,f885]) ).
fof(f3376,plain,
( ~ sQ54_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f2843,f1025,f1012]) ).
fof(f3379,plain,
( ~ sQ74_spl
| ~ sQ3_spl
| e1 = op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f847,f1122]) ).
fof(f3380,plain,
( sQ81_spl
| ~ sQ20_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f3226,f846,f902,f1150]) ).
fof(f3387,plain,
( ~ sQ6_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f2664,f1012,f856]) ).
fof(f3390,plain,
( ~ sQ106_spl
| ~ sQ27_spl
| e2 = op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f925,f1267]) ).
fof(f3396,plain,
( ~ sQ40_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2854,f863,f967]) ).
fof(f3400,plain,
( ~ sQ51_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f3204,f846,f1002]) ).
fof(f3401,plain,
( ~ sQ107_spl
| ~ sQ29_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f2914,f911,f931,f1270]) ).
fof(f3417,plain,
( ~ sQ25_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f3142,f905,f918]) ).
fof(f3418,plain,
( ~ sQ20_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f3224,f1006,f902]) ).
fof(f3419,plain,
( ~ sQ52_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f2487,f993,f1006]) ).
fof(f3420,plain,
( sQ82_spl
| ~ sQ41_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f3364,f902,f970,f1155]) ).
fof(f3425,plain,
( ~ sQ25_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f3147,f970,f918]) ).
fof(f3427,plain,
( sQ83_spl
| ~ sQ43_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f2771,f1022,f976,f1158]) ).
fof(f3428,plain,
( sQ82_spl
| ~ sQ43_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f2742,f1032,f976,f1155]) ).
fof(f3429,plain,
( sQ93_spl
| ~ sQ61_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f3245,f908,f1035,f1198]) ).
fof(f3430,plain,
( ~ sQ10_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f2538,f882,f869]) ).
fof(f3431,plain,
( ~ sQ112_spl
| ~ sQ4_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f3125,f840,f850,f1308]) ).
fof(f3432,plain,
( ~ sQ27_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f2962,f937,f924]) ).
fof(f3433,plain,
( ~ sQ56_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f3258,f863,f1019]) ).
fof(f3434,plain,
( ~ sQ4_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f3105,f863,f850]) ).
fof(f3435,plain,
( ~ sQ27_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f2963,f976,f924]) ).
fof(f3436,plain,
( ~ sQ111_spl
| ~ sQ3_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f3268,f876,f846,f1304]) ).
fof(f3438,plain,
( ~ sQ63_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f2645,f1002,f1041]) ).
fof(f3440,plain,
( sQ88_spl
| ~ sQ62_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f2730,f967,f1038,f1179]) ).
fof(f3442,plain,
( sQ86_spl
| ~ sQ43_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f2774,f1019,f976,f1169]) ).
fof(f3443,plain,
( ~ sQ46_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f2677,f882,f986]) ).
fof(f3464,plain,
( sQ71_spl
| ~ sQ3_spl
| e2 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f847,f1112]) ).
fof(f3486,plain,
( ~ sQ99_spl
| ~ sQ46_spl
| e3 = op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f987,f1228]) ).
fof(f3493,plain,
( ~ sQ99_spl
| ~ sQ46_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f3486,f976,f986,f1227]) ).
fof(f3495,plain,
( ~ sQ4_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f3106,f1006,f850]) ).
fof(f3496,plain,
( ~ sQ4_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f3103,f876,f850]) ).
fof(f3506,plain,
( sQ71_spl
| ~ sQ3_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f3464,f999,f846,f1110]) ).
fof(f3598,plain,
( ~ sQ96_spl
| ~ sQ33_spl
| op(e2,e1) = e0 ),
inference(forward_demodulation,[status(thm)],[f945,f1216]) ).
fof(f3599,plain,
( ~ sQ96_spl
| ~ sQ33_spl
| ~ sQ39_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f964,f3598]) ).
fof(f3600,plain,
( ~ sQ96_spl
| ~ sQ33_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3599,f128]) ).
fof(f3601,plain,
( ~ sQ96_spl
| ~ sQ33_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f3600]) ).
fof(f3605,plain,
( ~ sQ61_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f2350,f1022,f1035]) ).
fof(f3608,plain,
( ~ sQ17_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f2339,f944,f892]) ).
fof(f3616,plain,
( ~ sQ69_spl
| ~ sQ61_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f2344,f1015,f1035,f1099]) ).
fof(f3623,plain,
( sQ79_spl
| ~ sQ20_spl
| op(op(e1,e1),e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f903,f1144]) ).
fof(f3624,plain,
( sQ77_spl
| ~ sQ20_spl
| e2 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f903,f1136]) ).
fof(f3628,plain,
( sQ79_spl
| ~ sQ20_spl
| e2 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f903,f3623]) ).
fof(f3645,plain,
( ~ sQ74_spl
| ~ sQ3_spl
| op(e3,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f3379,f121]) ).
fof(f3722,plain,
( sQ87_spl
| ~ sQ41_spl
| op(op(e2,e2),e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f971,f1176]) ).
fof(f3723,plain,
( sQ87_spl
| ~ sQ41_spl
| op(e1,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f971,f3722]) ).
fof(f3731,plain,
( sQ84_spl
| ~ sQ41_spl
| op(e1,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f971,f1164]) ).
fof(f3732,plain,
( sQ84_spl
| ~ sQ41_spl
| ~ sQ27_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f925,f3731]) ).
fof(f3733,plain,
( sQ84_spl
| ~ sQ41_spl
| ~ sQ27_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3732]) ).
fof(f3734,plain,
( sQ84_spl
| ~ sQ41_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f3733]) ).
fof(f3778,plain,
( ~ sQ98_spl
| ~ sQ41_spl
| e2 = op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f971,f1224]) ).
fof(f3790,plain,
( ~ sQ6_spl
| ~ sQ98_spl
| ~ sQ41_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f3778,f3015]) ).
fof(f3791,plain,
( ~ sQ6_spl
| ~ sQ98_spl
| ~ sQ41_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3790]) ).
fof(f3792,plain,
( ~ sQ6_spl
| ~ sQ98_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f3791]) ).
fof(f3793,plain,
( sQ92_spl
| ~ sQ62_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f3032,f980,f1038,f1193]) ).
fof(f3794,plain,
( sQ77_spl
| ~ sQ20_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f3624,f856,f902,f1134]) ).
fof(f3842,plain,
( sQ89_spl
| ~ sQ62_spl
| e1 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f1039,f1184]) ).
fof(f3935,plain,
( sQ91_spl
| ~ sQ62_spl
| op(e2,op(e3,e3)) != e1 ),
inference(forward_demodulation,[status(thm)],[f1039,f1192]) ).
fof(f3936,plain,
( sQ91_spl
| ~ sQ62_spl
| e1 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f1039,f3935]) ).
fof(f3950,plain,
( sQ75_spl
| ~ sQ112_spl
| ~ sQ4_spl
| e3 != op(op(e0,e0),e1) ),
inference(backward_demodulation,[status(thm)],[f3956,f1128]) ).
fof(f3953,plain,
( sQ72_spl
| ~ sQ112_spl
| ~ sQ4_spl
| e3 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f3956,f1116]) ).
fof(f3956,plain,
( ~ sQ112_spl
| ~ sQ4_spl
| op(e0,e0) = e1 ),
inference(forward_demodulation,[status(thm)],[f851,f1309]) ).
fof(f3957,plain,
( sQ75_spl
| ~ sQ112_spl
| ~ sQ4_spl
| e3 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f3956,f3950]) ).
fof(f3959,plain,
( sQ72_spl
| ~ sQ112_spl
| ~ sQ4_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f3953,f898,f850,f1308,f1114]) ).
fof(f3960,plain,
( sQ73_spl
| ~ sQ1_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f2986,f908,f840,f1118]) ).
fof(f3981,plain,
( sQ89_spl
| ~ sQ60_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f2846,f879,f1032,f1182]) ).
fof(f3992,plain,
( sQ75_spl
| ~ sQ112_spl
| ~ sQ4_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f3957,f911,f850,f1308,f1126]) ).
fof(f3994,plain,
( sQ79_spl
| ~ sQ20_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f3628,f843,f902,f1142]) ).
fof(f4050,plain,
( ~ sQ45_spl
| op(e1,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f984,f99]) ).
fof(f4145,plain,
( sQ74_spl
| ~ sQ2_spl
| op(e2,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f844,f1123]) ).
fof(f4185,plain,
( sQ78_spl
| ~ sQ20_spl
| op(e0,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f903,f1140]) ).
fof(f4186,plain,
( sQ78_spl
| ~ sQ20_spl
| ~ sQ7_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f860,f4185]) ).
fof(f4187,plain,
( sQ78_spl
| ~ sQ20_spl
| ~ sQ7_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4186]) ).
fof(f4188,plain,
( sQ78_spl
| ~ sQ20_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f4187]) ).
fof(f4191,plain,
( ~ sQ106_spl
| ~ sQ27_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f3390,f934,f924,f1266]) ).
fof(f4194,plain,
( ~ sQ45_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f4050,f931,f983]) ).
fof(f4195,plain,
( ~ sQ74_spl
| ~ sQ3_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f3645,f1022,f846,f1121]) ).
fof(f4196,plain,
( ~ sQ57_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f2653,f996,f1022]) ).
fof(f4203,plain,
( ~ sQ114_spl
| ~ sQ12_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f3338,f846,f876,f1316]) ).
fof(f4204,plain,
( sQ74_spl
| ~ sQ2_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f4145,f944,f843,f1121]) ).
fof(f4205,plain,
( ~ sQ98_spl
| ~ sQ43_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f2762,f986,f976,f1223]) ).
fof(f4289,plain,
( sQ90_spl
| ~ sQ61_spl
| e2 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f1036,f1188]) ).
fof(f4349,plain,
( ~ sQ30_spl
| sQ90_spl
| ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f935,f4289]) ).
fof(f4350,plain,
( ~ sQ30_spl
| sQ90_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f4349]) ).
fof(f4386,plain,
( sQ83_spl
| ~ sQ40_spl
| e1 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f968,f1160]) ).
fof(f4427,plain,
( sQ80_spl
| ~ sQ23_spl
| op(e3,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f912,f1147]) ).
fof(f4519,plain,
( sQ83_spl
| ~ sQ40_spl
| ~ sQ9_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f867,f4386]) ).
fof(f4520,plain,
( sQ83_spl
| ~ sQ40_spl
| ~ sQ9_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4519]) ).
fof(f4521,plain,
( sQ83_spl
| ~ sQ40_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f4520]) ).
fof(f4522,plain,
( sQ91_spl
| ~ sQ62_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f3936,f970,f1038,f1190]) ).
fof(f4576,plain,
( ~ sQ54_spl
| op(e3,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f1013,f124]) ).
fof(f4603,plain,
( ~ sQ113_spl
| ~ sQ8_spl
| op(e0,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f864,f1313]) ).
fof(f4646,plain,
( sQ72_spl
| ~ sQ113_spl
| ~ sQ8_spl
| op(e2,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f4603,f1116]) ).
fof(f4647,plain,
( sQ72_spl
| ~ sQ113_spl
| ~ sQ8_spl
| ~ sQ35_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f951,f4646]) ).
fof(f4648,plain,
( sQ72_spl
| ~ sQ113_spl
| ~ sQ8_spl
| ~ sQ35_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4647]) ).
fof(f4649,plain,
( sQ72_spl
| ~ sQ113_spl
| ~ sQ8_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f4648]) ).
fof(f4672,plain,
( ~ sQ98_spl
| ~ sQ41_spl
| op(e2,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f971,f1224]) ).
fof(f4673,plain,
( ~ sQ98_spl
| ~ sQ41_spl
| sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4672,f962]) ).
fof(f4674,plain,
( ~ sQ98_spl
| ~ sQ41_spl
| sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f4673]) ).
fof(f4681,plain,
( ~ sQ23_spl
| sQ87_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f912,f3723]) ).
fof(f4682,plain,
( ~ sQ23_spl
| sQ87_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f4681]) ).
fof(f4686,plain,
( sQ86_spl
| ~ sQ41_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f3345,f915,f970,f1169]) ).
fof(f4688,plain,
( sQ89_spl
| ~ sQ62_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f3842,f983,f1038,f1182]) ).
fof(f4702,plain,
( ~ sQ18_spl
| e2 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f896,f110]) ).
fof(f4709,plain,
( ~ sQ18_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f4702,f934,f895]) ).
fof(f4710,plain,
( sQ80_spl
| ~ sQ23_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f4427,f1006,f911,f1145]) ).
fof(f4711,plain,
( ~ sQ62_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f3010,f986,f1038]) ).
fof(f4712,plain,
( ~ sQ54_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f4576,f1038,f1012]) ).
fof(f4715,plain,
( ~ sQ1_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f2978,f944,f840]) ).
fof(f4716,plain,
( ~ sQ1_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f2985,f853,f840]) ).
fof(f4718,plain,
( sQ79_spl
| ~ sQ107_spl
| ~ sQ29_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f2915,f1038,f931,f1270,f1142]) ).
fof(f4719,plain,
$false,
inference(sat_refutation,[status(thm)],[f849,f862,f875,f888,f901,f914,f927,f940,f953,f966,f979,f992,f1005,f1018,f1031,f1044,f1045,f1046,f1047,f1048,f1049,f1050,f1051,f1052,f1053,f1054,f1055,f1056,f1057,f1058,f1059,f1060,f1061,f1062,f1063,f1064,f1065,f1066,f1067,f1068,f1069,f1070,f1071,f1072,f1073,f1074,f1075,f1076,f1080,f1081,f1090,f1094,f1098,f1102,f1103,f1104,f1105,f1113,f1117,f1124,f1125,f1129,f1130,f1137,f1141,f1148,f1149,f1153,f1154,f1161,f1165,f1172,f1173,f1177,f1178,f1185,f1189,f1196,f1197,f1201,f1202,f1206,f1207,f1210,f1218,f1222,f1226,f1230,f1234,f1238,f1240,f1241,f1249,f1250,f1253,f1261,f1265,f1269,f1273,f1277,f1281,f1282,f1283,f1284,f1289,f1290,f1291,f1292,f1293,f1294,f1298,f1299,f1300,f1302,f1307,f1311,f1315,f1319,f1323,f1327,f1328,f1329,f1334,f1335,f1336,f1338,f1339,f1343,f1346,f1347,f1350,f1351,f1352,f1353,f1354,f1358,f1359,f1360,f1361,f1362,f1367,f1368,f1369,f1370,f1371,f1376,f1377,f1378,f1379,f1380,f1385,f1388,f1389,f1394,f1395,f1396,f1397,f1398,f1403,f1404,f1405,f1406,f1407,f1412,f1413,f1414,f1415,f1416,f1421,f1424,f1425,f1430,f1431,f1432,f1433,f1434,f1439,f1440,f1441,f1442,f1443,f1448,f1449,f1450,f1451,f1452,f1457,f1458,f1459,f1460,f1461,f1466,f1467,f1468,f1469,f1470,f1475,f1476,f1477,f1478,f1479,f1480,f1484,f1485,f1486,f1487,f1488,f1493,f1494,f1496,f1497,f1502,f1503,f1506,f1511,f1512,f1515,f1520,f1521,f1524,f1529,f1530,f1531,f1532,f1533,f1534,f1538,f1539,f1540,f1541,f1542,f1547,f1548,f1549,f1550,f1551,f1556,f1557,f1558,f1559,f1560,f1565,f1566,f1567,f1568,f1569,f1574,f1575,f1576,f1577,f1578,f1583,f1584,f1585,f1586,f1587,f1588,f1592,f1593,f1594,f1595,f1596,f1601,f1602,f1603,f1604,f1605,f1610,f1611,f1612,f1613,f1614,f1615,f1619,f1620,f1621,f1622,f1623,f1628,f1629,f1630,f1631,f1632,f1633,f1637,f1638,f1639,f1640,f1641,f1642,f1646,f1647,f1648,f1649,f1650,f1655,f1656,f1657,f1658,f1659,f1664,f1665,f1666,f1667,f1668,f1669,f1673,f1674,f1675,f1676,f1677,f1682,f1683,f1684,f1686,f1691,f1692,f1695,f1700,f1701,f1702,f1703,f1704,f1709,f1710,f1711,f1712,f1713,f1714,f1718,f1719,f1720,f1721,f1722,f1723,f1727,f1728,f1729,f1730,f1731,f1736,f1737,f1738,f1739,f1740,f1745,f1746,f1747,f1748,f1749,f1754,f1755,f1756,f1757,f1758,f1763,f1764,f1765,f1766,f1767,f1768,f1772,f1773,f1774,f1775,f1776,f1781,f1782,f1783,f1784,f1785,f1786,f1790,f1791,f1792,f1793,f1794,f1799,f1800,f1801,f1802,f1803,f1804,f1808,f1809,f1810,f1811,f1812,f1817,f1818,f1819,f1820,f1821,f1822,f1826,f1827,f1828,f1829,f1830,f1831,f1835,f1836,f1837,f1838,f1839,f1844,f1845,f1846,f1848,f1853,f1854,f1855,f1857,f1862,f1863,f1864,f1866,f1871,f1872,f1873,f1875,f1877,f1878,f1908,f1918,f1922,f1937,f1940,f1945,f1951,f1992,f1997,f1998,f2004,f2007,f2011,f2014,f2015,f2037,f2040,f2044,f2069,f2074,f2076,f2082,f2086,f2098,f2104,f2105,f2106,f2107,f2108,f2110,f2111,f2112,f2113,f2125,f2134,f2136,f2140,f2142,f2143,f2144,f2145,f2146,f2147,f2148,f2149,f2150,f2151,f2154,f2168,f2169,f2172,f2174,f2182,f2183,f2203,f2216,f2231,f2232,f2233,f2235,f2238,f2239,f2240,f2241,f2246,f2254,f2256,f2261,f2262,f2263,f2264,f2265,f2266,f2267,f2268,f2269,f2270,f2272,f2273,f2280,f2281,f2282,f2283,f2284,f2285,f2286,f2294,f2295,f2296,f2298,f2299,f2301,f2316,f2320,f2321,f2322,f2323,f2324,f2325,f2326,f2327,f2328,f2329,f2330,f2331,f2332,f2333,f2334,f2357,f2358,f2359,f2367,f2371,f2372,f2374,f2376,f2377,f2378,f2379,f2380,f2381,f2382,f2387,f2388,f2396,f2397,f2399,f2400,f2426,f2429,f2430,f2434,f2435,f2437,f2438,f2439,f2440,f2446,f2447,f2454,f2455,f2456,f2457,f2458,f2459,f2506,f2527,f2541,f2542,f2576,f2577,f2580,f2587,f2616,f2619,f2623,f2625,f2628,f2629,f2630,f2631,f2632,f2633,f2635,f2636,f2637,f2638,f2639,f2640,f2641,f2720,f2758,f2761,f2763,f2776,f2777,f2780,f2785,f2786,f2833,f2938,f2940,f2943,f2947,f2948,f2952,f2953,f2954,f2956,f2957,f2959,f2987,f2988,f3051,f3056,f3060,f3063,f3066,f3085,f3086,f3087,f3093,f3128,f3132,f3133,f3136,f3140,f3141,f3244,f3371,f3374,f3375,f3376,f3380,f3387,f3396,f3400,f3401,f3417,f3418,f3419,f3420,f3425,f3427,f3428,f3429,f3430,f3431,f3432,f3433,f3434,f3435,f3436,f3438,f3440,f3442,f3443,f3493,f3495,f3496,f3506,f3601,f3605,f3608,f3616,f3734,f3792,f3793,f3794,f3959,f3960,f3981,f3992,f3994,f4188,f4191,f4194,f4195,f4196,f4203,f4204,f4205,f4350,f4521,f4522,f4649,f4674,f4682,f4686,f4688,f4709,f4710,f4711,f4712,f4715,f4716,f4718]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG154+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n020.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 13:00:02 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.41 % Drodi V4.1.1
% 125.57/16.31 % Refutation found
% 125.57/16.31 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 125.57/16.31 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 71.28/17.51 % Elapsed time: 16.925802 seconds
% 71.28/17.51 % CPU time: 122.241370 seconds
% 71.28/17.51 % Total memory used: 173.201 MB
% 71.28/17.51 % Net memory used: 172.048 MB
%------------------------------------------------------------------------------