TSTP Solution File: ALG153+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG153+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:10:23 EDT 2024
% Result : Unsatisfiable 3.98s 0.86s
% Output : CNFRefutation 3.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 176
% Syntax : Number of formulae : 1498 ( 55 unt; 0 def)
% Number of atoms : 9316 (6593 equ)
% Maximal formula atoms : 304 ( 6 avg)
% Number of connectives : 13490 (5672 ~;5085 |;2585 &)
% ( 118 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 150 ( 148 usr; 149 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(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3 )
& ( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3 )
& ( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3 )
& ( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3 )
& ( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3 )
& ( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3 )
& ( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3 )
& ( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3 )
& ( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3 )
& ( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3 )
& ( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3 )
& ( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3 )
& ( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3 )
& ( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3 )
& ( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3 )
& ( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
( ( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0 )
& ( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0 )
& ( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1 )
& ( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1 )
& ( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2 )
& ( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2 )
& ( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3 )
& ( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0 )
& ( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
( op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e2,e0) != op(e3,e0)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e2,e1) != op(e3,e1)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e2,e2) != op(e3,e2)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e2,e3) != op(e3,e3)
& op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e2) != op(e0,e3)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e2) != op(e1,e3)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e2) != op(e2,e3)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e2) != op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( e0 != e1
& e0 != e2
& e0 != e3
& e1 != e2
& e1 != e3
& e2 != e3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( ( ( op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e0,e0) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ( op(e0,e0) = e2
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) )
| ( op(e0,e0) = e3
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 ) )
| ( op(e1,e1) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e1,e1) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ( op(e1,e1) = e2
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) )
| ( op(e1,e1) = e3
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 ) )
| ( op(e2,e2) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e2,e2) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ( op(e2,e2) = e2
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) )
| ( op(e2,e2) = e3
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 ) )
| ( op(e3,e3) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e3,e3) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ( op(e3,e3) = e2
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) )
| ( op(e3,e3) = e3
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 ) ) )
& ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 ) )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 ) )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 ) )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 ) )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
~ ( e0 = op(op(e2,e2),op(e2,e2))
& e1 = op(e2,e2)
& e3 = op(e2,op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
~ ( e0 = op(op(e3,e3),op(e3,e3))
& e1 = op(e3,e3)
& e2 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
~ ( e0 = op(op(e3,e3),op(e3,e3))
& e2 = op(e3,e3)
& e1 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
~ ( e0 = op(op(e1,e1),op(e1,e1))
& e3 = op(e1,e1)
& e2 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
~ ( e0 = op(op(e2,e2),op(e2,e2))
& e3 = op(e2,e2)
& e1 = op(e2,op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
~ ( e1 = op(op(e2,e2),op(e2,e2))
& e0 = op(e2,e2)
& e3 = op(e2,op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
~ ( e1 = op(op(e3,e3),op(e3,e3))
& e0 = op(e3,e3)
& e2 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
~ ( e1 = op(op(e0,e0),op(e0,e0))
& e2 = op(e0,e0)
& e3 = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
~ ( e1 = op(op(e3,e3),op(e3,e3))
& e2 = op(e3,e3)
& e0 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
~ ( e1 = op(op(e0,e0),op(e0,e0))
& e3 = op(e0,e0)
& e2 = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
~ ( e1 = op(op(e2,e2),op(e2,e2))
& e3 = op(e2,e2)
& e0 = op(e2,op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
~ ( e2 = op(op(e1,e1),op(e1,e1))
& e0 = op(e1,e1)
& e3 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
~ ( e2 = op(op(e3,e3),op(e3,e3))
& e0 = op(e3,e3)
& e1 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
~ ( e2 = op(op(e0,e0),op(e0,e0))
& e1 = op(e0,e0)
& e3 = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
~ ( e2 = op(op(e3,e3),op(e3,e3))
& e1 = op(e3,e3)
& e0 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
~ ( e2 = op(op(e0,e0),op(e0,e0))
& e3 = op(e0,e0)
& e1 = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
~ ( e2 = op(op(e1,e1),op(e1,e1))
& e3 = op(e1,e1)
& e0 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
~ ( e3 = op(op(e1,e1),op(e1,e1))
& e0 = op(e1,e1)
& e2 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
~ ( e3 = op(op(e2,e2),op(e2,e2))
& e0 = op(e2,e2)
& e1 = op(e2,op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
~ ( e3 = op(op(e0,e0),op(e0,e0))
& e1 = op(e0,e0)
& e2 = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
~ ( e3 = op(op(e2,e2),op(e2,e2))
& e1 = op(e2,e2)
& e0 = op(e2,op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
~ ( e3 = op(op(e0,e0),op(e0,e0))
& e2 = op(e0,e0)
& e1 = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
~ ( e3 = op(op(e1,e1),op(e1,e1))
& e2 = op(e1,e1)
& e0 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,plain,
( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f31,plain,
( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f32,plain,
( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f33,plain,
( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f34,plain,
( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f35,plain,
( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f36,plain,
( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f37,plain,
( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f38,plain,
( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f39,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f40,plain,
( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f41,plain,
( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f42,plain,
( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f43,plain,
( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f44,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f45,plain,
( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f46,plain,
( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f47,plain,
( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f48,plain,
( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f49,plain,
( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f50,plain,
( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f51,plain,
( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f52,plain,
( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f53,plain,
( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f54,plain,
( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f55,plain,
( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f56,plain,
( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f57,plain,
( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f58,plain,
( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f59,plain,
( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f60,plain,
( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f61,plain,
( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f62,plain,
( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f63,plain,
( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f64,plain,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f65,plain,
( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f66,plain,
( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f67,plain,
( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f68,plain,
( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f69,plain,
( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f70,plain,
( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f71,plain,
( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f72,plain,
( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f73,plain,
( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f74,plain,
( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f75,plain,
( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f76,plain,
( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f77,plain,
( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f78,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f79,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f80,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f81,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f82,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f83,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f84,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f85,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f86,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f87,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f88,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f89,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f90,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f91,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f92,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f93,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f94,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f95,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f96,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f97,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f98,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f99,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f100,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f101,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f102,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f103,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f104,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f105,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f106,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f107,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f108,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f109,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f110,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f111,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f112,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f113,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f114,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f115,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f116,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f117,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f118,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f119,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f120,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f121,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f122,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f123,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f124,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f125,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f126,plain,
e0 != e1,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f127,plain,
e0 != e2,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f128,plain,
e0 != e3,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f129,plain,
e1 != e2,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f130,plain,
e1 != e3,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f131,plain,
e2 != e3,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f132,plain,
( pd0_0
=> ( ( op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e0,e0) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ( op(e0,e0) = e2
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) )
| ( op(e0,e0) = e3
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 ) )
| ( op(e1,e1) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e1,e1) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ( op(e1,e1) = e2
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) )
| ( op(e1,e1) = e3
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 ) )
| ( op(e2,e2) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e2,e2) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ( op(e2,e2) = e2
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) )
| ( op(e2,e2) = e3
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 ) )
| ( op(e3,e3) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e3,e3) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ( op(e3,e3) = e2
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) ) ) ),
introduced(predicate_definition,[f5]) ).
fof(f133,plain,
( pd0_1
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 ) )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 ) )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 ) )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 ) ) ) ),
introduced(predicate_definition,[f5]) ).
fof(f134,plain,
( ( pd0_0
| ( op(e3,e3) = e3
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 ) ) )
& ( pd0_1
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) ) ) ),
inference(formula_renaming,[status(thm)],[f5,f133,f132]) ).
fof(f135,plain,
( pd0_0
| op(e3,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f134]) ).
fof(f136,plain,
( pd0_0
| op(e0,e0) != e3
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f134]) ).
fof(f137,plain,
( pd0_0
| op(e1,e1) != e3
| op(e1,e3) = e1 ),
inference(cnf_transformation,[status(esa)],[f134]) ).
fof(f138,plain,
( pd0_0
| op(e2,e2) != e3
| op(e2,e3) = e2 ),
inference(cnf_transformation,[status(esa)],[f134]) ).
fof(f140,plain,
( pd0_1
| op(e3,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f134]) ).
fof(f142,plain,
( pd0_1
| op(e3,e0) != e3
| op(e3,e3) != e0 ),
inference(cnf_transformation,[status(esa)],[f134]) ).
fof(f143,plain,
( pd0_1
| op(e3,e1) != e3
| op(e3,e3) != e1 ),
inference(cnf_transformation,[status(esa)],[f134]) ).
fof(f144,plain,
( pd0_1
| op(e3,e2) != e3
| op(e3,e3) != e2 ),
inference(cnf_transformation,[status(esa)],[f134]) ).
fof(f145,plain,
( pd0_1
| op(e3,e3) != e3
| op(e3,e3) != e3 ),
inference(cnf_transformation,[status(esa)],[f134]) ).
fof(f146,plain,
( e0 != op(op(e2,e2),op(e2,e2))
| e1 != op(e2,e2)
| e3 != op(e2,op(e2,e2)) ),
inference(pre_NNF_transformation,[status(esa)],[f6]) ).
fof(f147,plain,
( e0 != op(op(e2,e2),op(e2,e2))
| e1 != op(e2,e2)
| e3 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[status(esa)],[f146]) ).
fof(f148,plain,
( e0 != op(op(e3,e3),op(e3,e3))
| e1 != op(e3,e3)
| e2 != op(e3,op(e3,e3)) ),
inference(pre_NNF_transformation,[status(esa)],[f7]) ).
fof(f149,plain,
( e0 != op(op(e3,e3),op(e3,e3))
| e1 != op(e3,e3)
| e2 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[status(esa)],[f148]) ).
fof(f152,plain,
( e0 != op(op(e3,e3),op(e3,e3))
| e2 != op(e3,e3)
| e1 != op(e3,op(e3,e3)) ),
inference(pre_NNF_transformation,[status(esa)],[f9]) ).
fof(f153,plain,
( e0 != op(op(e3,e3),op(e3,e3))
| e2 != op(e3,e3)
| e1 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[status(esa)],[f152]) ).
fof(f154,plain,
( e0 != op(op(e1,e1),op(e1,e1))
| e3 != op(e1,e1)
| e2 != op(e1,op(e1,e1)) ),
inference(pre_NNF_transformation,[status(esa)],[f10]) ).
fof(f155,plain,
( e0 != op(op(e1,e1),op(e1,e1))
| e3 != op(e1,e1)
| e2 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[status(esa)],[f154]) ).
fof(f156,plain,
( e0 != op(op(e2,e2),op(e2,e2))
| e3 != op(e2,e2)
| e1 != op(e2,op(e2,e2)) ),
inference(pre_NNF_transformation,[status(esa)],[f11]) ).
fof(f157,plain,
( e0 != op(op(e2,e2),op(e2,e2))
| e3 != op(e2,e2)
| e1 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[status(esa)],[f156]) ).
fof(f158,plain,
( e1 != op(op(e2,e2),op(e2,e2))
| e0 != op(e2,e2)
| e3 != op(e2,op(e2,e2)) ),
inference(pre_NNF_transformation,[status(esa)],[f12]) ).
fof(f159,plain,
( e1 != op(op(e2,e2),op(e2,e2))
| e0 != op(e2,e2)
| e3 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[status(esa)],[f158]) ).
fof(f160,plain,
( e1 != op(op(e3,e3),op(e3,e3))
| e0 != op(e3,e3)
| e2 != op(e3,op(e3,e3)) ),
inference(pre_NNF_transformation,[status(esa)],[f13]) ).
fof(f161,plain,
( e1 != op(op(e3,e3),op(e3,e3))
| e0 != op(e3,e3)
| e2 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[status(esa)],[f160]) ).
fof(f162,plain,
( e1 != op(op(e0,e0),op(e0,e0))
| e2 != op(e0,e0)
| e3 != op(e0,op(e0,e0)) ),
inference(pre_NNF_transformation,[status(esa)],[f14]) ).
fof(f163,plain,
( e1 != op(op(e0,e0),op(e0,e0))
| e2 != op(e0,e0)
| e3 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[status(esa)],[f162]) ).
fof(f164,plain,
( e1 != op(op(e3,e3),op(e3,e3))
| e2 != op(e3,e3)
| e0 != op(e3,op(e3,e3)) ),
inference(pre_NNF_transformation,[status(esa)],[f15]) ).
fof(f165,plain,
( e1 != op(op(e3,e3),op(e3,e3))
| e2 != op(e3,e3)
| e0 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[status(esa)],[f164]) ).
fof(f166,plain,
( e1 != op(op(e0,e0),op(e0,e0))
| e3 != op(e0,e0)
| e2 != op(e0,op(e0,e0)) ),
inference(pre_NNF_transformation,[status(esa)],[f16]) ).
fof(f167,plain,
( e1 != op(op(e0,e0),op(e0,e0))
| e3 != op(e0,e0)
| e2 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[status(esa)],[f166]) ).
fof(f168,plain,
( e1 != op(op(e2,e2),op(e2,e2))
| e3 != op(e2,e2)
| e0 != op(e2,op(e2,e2)) ),
inference(pre_NNF_transformation,[status(esa)],[f17]) ).
fof(f169,plain,
( e1 != op(op(e2,e2),op(e2,e2))
| e3 != op(e2,e2)
| e0 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[status(esa)],[f168]) ).
fof(f170,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| e0 != op(e1,e1)
| e3 != op(e1,op(e1,e1)) ),
inference(pre_NNF_transformation,[status(esa)],[f18]) ).
fof(f171,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| e0 != op(e1,e1)
| e3 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[status(esa)],[f170]) ).
fof(f172,plain,
( e2 != op(op(e3,e3),op(e3,e3))
| e0 != op(e3,e3)
| e1 != op(e3,op(e3,e3)) ),
inference(pre_NNF_transformation,[status(esa)],[f19]) ).
fof(f173,plain,
( e2 != op(op(e3,e3),op(e3,e3))
| e0 != op(e3,e3)
| e1 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[status(esa)],[f172]) ).
fof(f174,plain,
( e2 != op(op(e0,e0),op(e0,e0))
| e1 != op(e0,e0)
| e3 != op(e0,op(e0,e0)) ),
inference(pre_NNF_transformation,[status(esa)],[f20]) ).
fof(f175,plain,
( e2 != op(op(e0,e0),op(e0,e0))
| e1 != op(e0,e0)
| e3 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[status(esa)],[f174]) ).
fof(f176,plain,
( e2 != op(op(e3,e3),op(e3,e3))
| e1 != op(e3,e3)
| e0 != op(e3,op(e3,e3)) ),
inference(pre_NNF_transformation,[status(esa)],[f21]) ).
fof(f177,plain,
( e2 != op(op(e3,e3),op(e3,e3))
| e1 != op(e3,e3)
| e0 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[status(esa)],[f176]) ).
fof(f178,plain,
( e2 != op(op(e0,e0),op(e0,e0))
| e3 != op(e0,e0)
| e1 != op(e0,op(e0,e0)) ),
inference(pre_NNF_transformation,[status(esa)],[f22]) ).
fof(f179,plain,
( e2 != op(op(e0,e0),op(e0,e0))
| e3 != op(e0,e0)
| e1 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[status(esa)],[f178]) ).
fof(f180,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| e3 != op(e1,e1)
| e0 != op(e1,op(e1,e1)) ),
inference(pre_NNF_transformation,[status(esa)],[f23]) ).
fof(f181,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| e3 != op(e1,e1)
| e0 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[status(esa)],[f180]) ).
fof(f182,plain,
( e3 != op(op(e1,e1),op(e1,e1))
| e0 != op(e1,e1)
| e2 != op(e1,op(e1,e1)) ),
inference(pre_NNF_transformation,[status(esa)],[f24]) ).
fof(f183,plain,
( e3 != op(op(e1,e1),op(e1,e1))
| e0 != op(e1,e1)
| e2 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[status(esa)],[f182]) ).
fof(f184,plain,
( e3 != op(op(e2,e2),op(e2,e2))
| e0 != op(e2,e2)
| e1 != op(e2,op(e2,e2)) ),
inference(pre_NNF_transformation,[status(esa)],[f25]) ).
fof(f185,plain,
( e3 != op(op(e2,e2),op(e2,e2))
| e0 != op(e2,e2)
| e1 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[status(esa)],[f184]) ).
fof(f186,plain,
( e3 != op(op(e0,e0),op(e0,e0))
| e1 != op(e0,e0)
| e2 != op(e0,op(e0,e0)) ),
inference(pre_NNF_transformation,[status(esa)],[f26]) ).
fof(f187,plain,
( e3 != op(op(e0,e0),op(e0,e0))
| e1 != op(e0,e0)
| e2 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[status(esa)],[f186]) ).
fof(f188,plain,
( e3 != op(op(e2,e2),op(e2,e2))
| e1 != op(e2,e2)
| e0 != op(e2,op(e2,e2)) ),
inference(pre_NNF_transformation,[status(esa)],[f27]) ).
fof(f189,plain,
( e3 != op(op(e2,e2),op(e2,e2))
| e1 != op(e2,e2)
| e0 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[status(esa)],[f188]) ).
fof(f190,plain,
( e3 != op(op(e0,e0),op(e0,e0))
| e2 != op(e0,e0)
| e1 != op(e0,op(e0,e0)) ),
inference(pre_NNF_transformation,[status(esa)],[f28]) ).
fof(f191,plain,
( e3 != op(op(e0,e0),op(e0,e0))
| e2 != op(e0,e0)
| e1 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[status(esa)],[f190]) ).
fof(f192,plain,
( e3 != op(op(e1,e1),op(e1,e1))
| e2 != op(e1,e1)
| e0 != op(e1,op(e1,e1)) ),
inference(pre_NNF_transformation,[status(esa)],[f29]) ).
fof(f193,plain,
( e3 != op(op(e1,e1),op(e1,e1))
| e2 != op(e1,e1)
| e0 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[status(esa)],[f192]) ).
fof(f194,plain,
( ~ pd0_0
| ( op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e0,e0) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ( op(e0,e0) = e2
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) )
| ( op(e0,e0) = e3
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 ) )
| ( op(e1,e1) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e1,e1) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ( op(e1,e1) = e2
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) )
| ( op(e1,e1) = e3
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 ) )
| ( op(e2,e2) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e2,e2) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ( op(e2,e2) = e2
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) )
| ( op(e2,e2) = e3
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 ) )
| ( op(e3,e3) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e3,e3) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ( op(e3,e3) = e2
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f132]) ).
fof(f195,plain,
( pd0_2
=> ( ( op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e0,e0) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ( op(e0,e0) = e2
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) )
| ( op(e0,e0) = e3
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 ) )
| ( op(e1,e1) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e1,e1) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ( op(e1,e1) = e2
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) )
| ( op(e1,e1) = e3
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 ) )
| ( op(e2,e2) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e2,e2) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ( op(e2,e2) = e2
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) )
| ( op(e2,e2) = e3
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 ) )
| ( op(e3,e3) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e3,e3) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) ) ) ),
introduced(predicate_definition,[f194]) ).
fof(f196,plain,
( ~ pd0_0
| pd0_2
| ( op(e3,e3) = e2
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) ) ),
inference(formula_renaming,[status(thm)],[f194,f195]) ).
fof(f197,plain,
( ~ pd0_0
| pd0_2
| op(e3,e3) = e2 ),
inference(cnf_transformation,[status(esa)],[f196]) ).
fof(f198,plain,
( ~ pd0_0
| pd0_2
| op(e0,e0) != e2
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(esa)],[f196]) ).
fof(f199,plain,
( ~ pd0_0
| pd0_2
| op(e1,e1) != e2
| op(e1,e2) = e1 ),
inference(cnf_transformation,[status(esa)],[f196]) ).
fof(f201,plain,
( ~ pd0_0
| pd0_2
| op(e3,e3) != e2
| op(e3,e2) = e3 ),
inference(cnf_transformation,[status(esa)],[f196]) ).
fof(f202,plain,
( ~ pd0_1
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 ) )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 ) )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 ) )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f133]) ).
fof(f203,plain,
( pd0_3
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 ) )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 ) )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 ) )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) ) ) ),
introduced(predicate_definition,[f202]) ).
fof(f204,plain,
( ~ pd0_1
| pd0_3
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 ) ) ),
inference(formula_renaming,[status(thm)],[f202,f203]) ).
fof(f205,plain,
( ~ pd0_1
| pd0_3
| op(e3,e2) = e3 ),
inference(cnf_transformation,[status(esa)],[f204]) ).
fof(f206,plain,
( ~ pd0_1
| pd0_3
| op(e2,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f204]) ).
fof(f207,plain,
( ~ pd0_1
| pd0_3
| op(e2,e0) != e2
| op(e2,e2) != e0 ),
inference(cnf_transformation,[status(esa)],[f204]) ).
fof(f208,plain,
( ~ pd0_1
| pd0_3
| op(e2,e1) != e2
| op(e2,e2) != e1 ),
inference(cnf_transformation,[status(esa)],[f204]) ).
fof(f209,plain,
( ~ pd0_1
| pd0_3
| op(e2,e2) != e2
| op(e2,e2) != e2 ),
inference(cnf_transformation,[status(esa)],[f204]) ).
fof(f211,plain,
( ~ pd0_2
| ( op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e0,e0) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ( op(e0,e0) = e2
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) )
| ( op(e0,e0) = e3
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 ) )
| ( op(e1,e1) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e1,e1) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ( op(e1,e1) = e2
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) )
| ( op(e1,e1) = e3
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 ) )
| ( op(e2,e2) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e2,e2) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ( op(e2,e2) = e2
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) )
| ( op(e2,e2) = e3
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 ) )
| ( op(e3,e3) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e3,e3) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f195]) ).
fof(f212,plain,
( pd0_4
=> ( ( op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e0,e0) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ( op(e0,e0) = e2
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) )
| ( op(e0,e0) = e3
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 ) )
| ( op(e1,e1) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e1,e1) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ( op(e1,e1) = e2
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) )
| ( op(e1,e1) = e3
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 ) )
| ( op(e2,e2) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e2,e2) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ( op(e2,e2) = e2
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) )
| ( op(e2,e2) = e3
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 ) )
| ( op(e3,e3) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) ) ) ),
introduced(predicate_definition,[f211]) ).
fof(f213,plain,
( ~ pd0_2
| pd0_4
| ( op(e3,e3) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) ) ),
inference(formula_renaming,[status(thm)],[f211,f212]) ).
fof(f214,plain,
( ~ pd0_2
| pd0_4
| op(e3,e3) = e1 ),
inference(cnf_transformation,[status(esa)],[f213]) ).
fof(f215,plain,
( ~ pd0_2
| pd0_4
| op(e0,e0) != e1
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(esa)],[f213]) ).
fof(f217,plain,
( ~ pd0_2
| pd0_4
| op(e2,e2) != e1
| op(e2,e1) = e2 ),
inference(cnf_transformation,[status(esa)],[f213]) ).
fof(f218,plain,
( ~ pd0_2
| pd0_4
| op(e3,e3) != e1
| op(e3,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f213]) ).
fof(f219,plain,
( ~ pd0_3
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 ) )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 ) )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 ) )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f203]) ).
fof(f220,plain,
( pd0_5
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 ) )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 ) )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 ) )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) ) ) ),
introduced(predicate_definition,[f219]) ).
fof(f221,plain,
( ~ pd0_3
| pd0_5
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) ) ),
inference(formula_renaming,[status(thm)],[f219,f220]) ).
fof(f222,plain,
( ~ pd0_3
| pd0_5
| op(e3,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f221]) ).
fof(f223,plain,
( ~ pd0_3
| pd0_5
| op(e1,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f221]) ).
fof(f224,plain,
( ~ pd0_3
| pd0_5
| op(e1,e0) != e1
| op(e1,e1) != e0 ),
inference(cnf_transformation,[status(esa)],[f221]) ).
fof(f225,plain,
( ~ pd0_3
| pd0_5
| op(e1,e1) != e1
| op(e1,e1) != e1 ),
inference(cnf_transformation,[status(esa)],[f221]) ).
fof(f226,plain,
( ~ pd0_3
| pd0_5
| op(e1,e2) != e1
| op(e1,e1) != e2 ),
inference(cnf_transformation,[status(esa)],[f221]) ).
fof(f227,plain,
( ~ pd0_3
| pd0_5
| op(e1,e3) != e1
| op(e1,e1) != e3 ),
inference(cnf_transformation,[status(esa)],[f221]) ).
fof(f228,plain,
( ~ pd0_4
| ( op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e0,e0) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ( op(e0,e0) = e2
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) )
| ( op(e0,e0) = e3
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 ) )
| ( op(e1,e1) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e1,e1) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ( op(e1,e1) = e2
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) )
| ( op(e1,e1) = e3
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 ) )
| ( op(e2,e2) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e2,e2) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ( op(e2,e2) = e2
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) )
| ( op(e2,e2) = e3
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 ) )
| ( op(e3,e3) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f212]) ).
fof(f229,plain,
( pd0_6
=> ( ( op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e0,e0) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ( op(e0,e0) = e2
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) )
| ( op(e0,e0) = e3
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 ) )
| ( op(e1,e1) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e1,e1) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ( op(e1,e1) = e2
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) )
| ( op(e1,e1) = e3
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 ) )
| ( op(e2,e2) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e2,e2) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ( op(e2,e2) = e2
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) )
| ( op(e2,e2) = e3
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 ) ) ) ),
introduced(predicate_definition,[f228]) ).
fof(f230,plain,
( ~ pd0_4
| pd0_6
| ( op(e3,e3) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) ) ),
inference(formula_renaming,[status(thm)],[f228,f229]) ).
fof(f231,plain,
( ~ pd0_4
| pd0_6
| op(e3,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f230]) ).
fof(f233,plain,
( ~ pd0_4
| pd0_6
| op(e1,e1) != e0
| op(e1,e0) = e1 ),
inference(cnf_transformation,[status(esa)],[f230]) ).
fof(f234,plain,
( ~ pd0_4
| pd0_6
| op(e2,e2) != e0
| op(e2,e0) = e2 ),
inference(cnf_transformation,[status(esa)],[f230]) ).
fof(f235,plain,
( ~ pd0_4
| pd0_6
| op(e3,e3) != e0
| op(e3,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f230]) ).
fof(f236,plain,
( ~ pd0_5
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 ) )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 ) )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 ) )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f220]) ).
fof(f237,plain,
( pd0_7
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 ) )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 ) )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 ) )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) ) ) ),
introduced(predicate_definition,[f236]) ).
fof(f238,plain,
( ~ pd0_5
| pd0_7
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) ) ),
inference(formula_renaming,[status(thm)],[f236,f237]) ).
fof(f239,plain,
( ~ pd0_5
| pd0_7
| op(e3,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f238]) ).
fof(f240,plain,
( ~ pd0_5
| pd0_7
| op(e0,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f238]) ).
fof(f241,plain,
( ~ pd0_5
| pd0_7
| op(e0,e0) != e0
| op(e0,e0) != e0 ),
inference(cnf_transformation,[status(esa)],[f238]) ).
fof(f242,plain,
( ~ pd0_5
| pd0_7
| op(e0,e1) != e0
| op(e0,e0) != e1 ),
inference(cnf_transformation,[status(esa)],[f238]) ).
fof(f243,plain,
( ~ pd0_5
| pd0_7
| op(e0,e2) != e0
| op(e0,e0) != e2 ),
inference(cnf_transformation,[status(esa)],[f238]) ).
fof(f245,plain,
( ~ pd0_6
| ( op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e0,e0) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ( op(e0,e0) = e2
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) )
| ( op(e0,e0) = e3
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 ) )
| ( op(e1,e1) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e1,e1) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ( op(e1,e1) = e2
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) )
| ( op(e1,e1) = e3
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 ) )
| ( op(e2,e2) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e2,e2) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ( op(e2,e2) = e2
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) )
| ( op(e2,e2) = e3
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f229]) ).
fof(f246,plain,
( pd0_8
=> ( ( op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e0,e0) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ( op(e0,e0) = e2
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) )
| ( op(e0,e0) = e3
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 ) )
| ( op(e1,e1) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e1,e1) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ( op(e1,e1) = e2
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) )
| ( op(e1,e1) = e3
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 ) )
| ( op(e2,e2) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e2,e2) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ( op(e2,e2) = e2
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) ) ) ),
introduced(predicate_definition,[f245]) ).
fof(f247,plain,
( ~ pd0_6
| pd0_8
| ( op(e2,e2) = e3
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 ) ) ),
inference(formula_renaming,[status(thm)],[f245,f246]) ).
fof(f248,plain,
( ~ pd0_6
| pd0_8
| op(e2,e2) = e3 ),
inference(cnf_transformation,[status(esa)],[f247]) ).
fof(f249,plain,
( ~ pd0_6
| pd0_8
| op(e0,e0) != e3
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f247]) ).
fof(f250,plain,
( ~ pd0_6
| pd0_8
| op(e1,e1) != e3
| op(e1,e3) = e1 ),
inference(cnf_transformation,[status(esa)],[f247]) ).
fof(f251,plain,
( ~ pd0_6
| pd0_8
| op(e2,e2) != e3
| op(e2,e3) = e2 ),
inference(cnf_transformation,[status(esa)],[f247]) ).
fof(f253,plain,
( ~ pd0_7
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 ) )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 ) )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 ) )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f237]) ).
fof(f254,plain,
( pd0_9
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 ) )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 ) )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 ) ) ) ),
introduced(predicate_definition,[f253]) ).
fof(f255,plain,
( ~ pd0_7
| pd0_9
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) ) ),
inference(formula_renaming,[status(thm)],[f253,f254]) ).
fof(f256,plain,
( ~ pd0_7
| pd0_9
| op(e2,e3) = e2 ),
inference(cnf_transformation,[status(esa)],[f255]) ).
fof(f257,plain,
( ~ pd0_7
| pd0_9
| op(e3,e2) = e2 ),
inference(cnf_transformation,[status(esa)],[f255]) ).
fof(f258,plain,
( ~ pd0_7
| pd0_9
| op(e3,e0) != e3
| op(e3,e3) != e0 ),
inference(cnf_transformation,[status(esa)],[f255]) ).
fof(f259,plain,
( ~ pd0_7
| pd0_9
| op(e3,e1) != e3
| op(e3,e3) != e1 ),
inference(cnf_transformation,[status(esa)],[f255]) ).
fof(f260,plain,
( ~ pd0_7
| pd0_9
| op(e3,e2) != e3
| op(e3,e3) != e2 ),
inference(cnf_transformation,[status(esa)],[f255]) ).
fof(f261,plain,
( ~ pd0_7
| pd0_9
| op(e3,e3) != e3
| op(e3,e3) != e3 ),
inference(cnf_transformation,[status(esa)],[f255]) ).
fof(f262,plain,
( ~ pd0_8
| ( op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e0,e0) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ( op(e0,e0) = e2
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) )
| ( op(e0,e0) = e3
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 ) )
| ( op(e1,e1) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e1,e1) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ( op(e1,e1) = e2
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) )
| ( op(e1,e1) = e3
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 ) )
| ( op(e2,e2) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e2,e2) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ( op(e2,e2) = e2
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f246]) ).
fof(f263,plain,
( pd0_10
=> ( ( op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e0,e0) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ( op(e0,e0) = e2
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) )
| ( op(e0,e0) = e3
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 ) )
| ( op(e1,e1) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e1,e1) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ( op(e1,e1) = e2
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) )
| ( op(e1,e1) = e3
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 ) )
| ( op(e2,e2) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e2,e2) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) ) ) ),
introduced(predicate_definition,[f262]) ).
fof(f264,plain,
( ~ pd0_8
| pd0_10
| ( op(e2,e2) = e2
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) ) ),
inference(formula_renaming,[status(thm)],[f262,f263]) ).
fof(f265,plain,
( ~ pd0_8
| pd0_10
| op(e2,e2) = e2 ),
inference(cnf_transformation,[status(esa)],[f264]) ).
fof(f266,plain,
( ~ pd0_8
| pd0_10
| op(e0,e0) != e2
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(esa)],[f264]) ).
fof(f267,plain,
( ~ pd0_8
| pd0_10
| op(e1,e1) != e2
| op(e1,e2) = e1 ),
inference(cnf_transformation,[status(esa)],[f264]) ).
fof(f269,plain,
( ~ pd0_8
| pd0_10
| op(e3,e3) != e2
| op(e3,e2) = e3 ),
inference(cnf_transformation,[status(esa)],[f264]) ).
fof(f270,plain,
( ~ pd0_9
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 ) )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 ) )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f254]) ).
fof(f271,plain,
( pd0_11
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 ) )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 ) )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) ) ) ),
introduced(predicate_definition,[f270]) ).
fof(f272,plain,
( ~ pd0_9
| pd0_11
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 ) ) ),
inference(formula_renaming,[status(thm)],[f270,f271]) ).
fof(f273,plain,
( ~ pd0_9
| pd0_11
| op(e2,e2) = e2 ),
inference(cnf_transformation,[status(esa)],[f272]) ).
fof(f276,plain,
( ~ pd0_9
| pd0_11
| op(e2,e1) != e2
| op(e2,e2) != e1 ),
inference(cnf_transformation,[status(esa)],[f272]) ).
fof(f277,plain,
( ~ pd0_9
| pd0_11
| op(e2,e2) != e2
| op(e2,e2) != e2 ),
inference(cnf_transformation,[status(esa)],[f272]) ).
fof(f279,plain,
( ~ pd0_10
| ( op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e0,e0) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ( op(e0,e0) = e2
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) )
| ( op(e0,e0) = e3
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 ) )
| ( op(e1,e1) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e1,e1) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ( op(e1,e1) = e2
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) )
| ( op(e1,e1) = e3
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 ) )
| ( op(e2,e2) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e2,e2) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f263]) ).
fof(f280,plain,
( pd0_12
=> ( ( op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e0,e0) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ( op(e0,e0) = e2
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) )
| ( op(e0,e0) = e3
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 ) )
| ( op(e1,e1) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e1,e1) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ( op(e1,e1) = e2
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) )
| ( op(e1,e1) = e3
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 ) )
| ( op(e2,e2) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) ) ) ),
introduced(predicate_definition,[f279]) ).
fof(f281,plain,
( ~ pd0_10
| pd0_12
| ( op(e2,e2) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) ) ),
inference(formula_renaming,[status(thm)],[f279,f280]) ).
fof(f282,plain,
( ~ pd0_10
| pd0_12
| op(e2,e2) = e1 ),
inference(cnf_transformation,[status(esa)],[f281]) ).
fof(f283,plain,
( ~ pd0_10
| pd0_12
| op(e0,e0) != e1
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(esa)],[f281]) ).
fof(f285,plain,
( ~ pd0_10
| pd0_12
| op(e2,e2) != e1
| op(e2,e1) = e2 ),
inference(cnf_transformation,[status(esa)],[f281]) ).
fof(f286,plain,
( ~ pd0_10
| pd0_12
| op(e3,e3) != e1
| op(e3,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f281]) ).
fof(f287,plain,
( ~ pd0_11
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 ) )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 ) )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f271]) ).
fof(f288,plain,
( pd0_13
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 ) )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 ) )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) ) ) ),
introduced(predicate_definition,[f287]) ).
fof(f289,plain,
( ~ pd0_11
| pd0_13
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) ) ),
inference(formula_renaming,[status(thm)],[f287,f288]) ).
fof(f290,plain,
( ~ pd0_11
| pd0_13
| op(e2,e1) = e2 ),
inference(cnf_transformation,[status(esa)],[f289]) ).
fof(f291,plain,
( ~ pd0_11
| pd0_13
| op(e1,e2) = e2 ),
inference(cnf_transformation,[status(esa)],[f289]) ).
fof(f292,plain,
( ~ pd0_11
| pd0_13
| op(e1,e0) != e1
| op(e1,e1) != e0 ),
inference(cnf_transformation,[status(esa)],[f289]) ).
fof(f293,plain,
( ~ pd0_11
| pd0_13
| op(e1,e1) != e1
| op(e1,e1) != e1 ),
inference(cnf_transformation,[status(esa)],[f289]) ).
fof(f294,plain,
( ~ pd0_11
| pd0_13
| op(e1,e2) != e1
| op(e1,e1) != e2 ),
inference(cnf_transformation,[status(esa)],[f289]) ).
fof(f295,plain,
( ~ pd0_11
| pd0_13
| op(e1,e3) != e1
| op(e1,e1) != e3 ),
inference(cnf_transformation,[status(esa)],[f289]) ).
fof(f296,plain,
( ~ pd0_12
| ( op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e0,e0) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ( op(e0,e0) = e2
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) )
| ( op(e0,e0) = e3
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 ) )
| ( op(e1,e1) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e1,e1) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ( op(e1,e1) = e2
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) )
| ( op(e1,e1) = e3
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 ) )
| ( op(e2,e2) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f280]) ).
fof(f297,plain,
( pd0_14
=> ( ( op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e0,e0) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ( op(e0,e0) = e2
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) )
| ( op(e0,e0) = e3
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 ) )
| ( op(e1,e1) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e1,e1) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ( op(e1,e1) = e2
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) )
| ( op(e1,e1) = e3
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 ) ) ) ),
introduced(predicate_definition,[f296]) ).
fof(f298,plain,
( ~ pd0_12
| pd0_14
| ( op(e2,e2) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) ) ),
inference(formula_renaming,[status(thm)],[f296,f297]) ).
fof(f299,plain,
( ~ pd0_12
| pd0_14
| op(e2,e2) = e0 ),
inference(cnf_transformation,[status(esa)],[f298]) ).
fof(f301,plain,
( ~ pd0_12
| pd0_14
| op(e1,e1) != e0
| op(e1,e0) = e1 ),
inference(cnf_transformation,[status(esa)],[f298]) ).
fof(f302,plain,
( ~ pd0_12
| pd0_14
| op(e2,e2) != e0
| op(e2,e0) = e2 ),
inference(cnf_transformation,[status(esa)],[f298]) ).
fof(f303,plain,
( ~ pd0_12
| pd0_14
| op(e3,e3) != e0
| op(e3,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f298]) ).
fof(f304,plain,
( ~ pd0_13
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 ) )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 ) )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f288]) ).
fof(f305,plain,
( pd0_15
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 ) )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 ) )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) ) ) ),
introduced(predicate_definition,[f304]) ).
fof(f306,plain,
( ~ pd0_13
| pd0_15
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) ) ),
inference(formula_renaming,[status(thm)],[f304,f305]) ).
fof(f307,plain,
( ~ pd0_13
| pd0_15
| op(e2,e0) = e2 ),
inference(cnf_transformation,[status(esa)],[f306]) ).
fof(f308,plain,
( ~ pd0_13
| pd0_15
| op(e0,e2) = e2 ),
inference(cnf_transformation,[status(esa)],[f306]) ).
fof(f309,plain,
( ~ pd0_13
| pd0_15
| op(e0,e0) != e0
| op(e0,e0) != e0 ),
inference(cnf_transformation,[status(esa)],[f306]) ).
fof(f310,plain,
( ~ pd0_13
| pd0_15
| op(e0,e1) != e0
| op(e0,e0) != e1 ),
inference(cnf_transformation,[status(esa)],[f306]) ).
fof(f311,plain,
( ~ pd0_13
| pd0_15
| op(e0,e2) != e0
| op(e0,e0) != e2 ),
inference(cnf_transformation,[status(esa)],[f306]) ).
fof(f312,plain,
( ~ pd0_13
| pd0_15
| op(e0,e3) != e0
| op(e0,e0) != e3 ),
inference(cnf_transformation,[status(esa)],[f306]) ).
fof(f313,plain,
( ~ pd0_14
| ( op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e0,e0) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ( op(e0,e0) = e2
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) )
| ( op(e0,e0) = e3
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 ) )
| ( op(e1,e1) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e1,e1) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ( op(e1,e1) = e2
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) )
| ( op(e1,e1) = e3
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f297]) ).
fof(f314,plain,
( pd0_16
=> ( ( op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e0,e0) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ( op(e0,e0) = e2
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) )
| ( op(e0,e0) = e3
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 ) )
| ( op(e1,e1) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e1,e1) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ( op(e1,e1) = e2
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) ) ) ),
introduced(predicate_definition,[f313]) ).
fof(f315,plain,
( ~ pd0_14
| pd0_16
| ( op(e1,e1) = e3
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 ) ) ),
inference(formula_renaming,[status(thm)],[f313,f314]) ).
fof(f316,plain,
( ~ pd0_14
| pd0_16
| op(e1,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f315]) ).
fof(f317,plain,
( ~ pd0_14
| pd0_16
| op(e0,e0) != e3
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f315]) ).
fof(f318,plain,
( ~ pd0_14
| pd0_16
| op(e1,e1) != e3
| op(e1,e3) = e1 ),
inference(cnf_transformation,[status(esa)],[f315]) ).
fof(f319,plain,
( ~ pd0_14
| pd0_16
| op(e2,e2) != e3
| op(e2,e3) = e2 ),
inference(cnf_transformation,[status(esa)],[f315]) ).
fof(f321,plain,
( ~ pd0_15
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 ) )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 ) )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f305]) ).
fof(f322,plain,
( pd0_17
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 ) )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 ) ) ) ),
introduced(predicate_definition,[f321]) ).
fof(f323,plain,
( ~ pd0_15
| pd0_17
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) ) ),
inference(formula_renaming,[status(thm)],[f321,f322]) ).
fof(f324,plain,
( ~ pd0_15
| pd0_17
| op(e1,e3) = e1 ),
inference(cnf_transformation,[status(esa)],[f323]) ).
fof(f325,plain,
( ~ pd0_15
| pd0_17
| op(e3,e1) = e1 ),
inference(cnf_transformation,[status(esa)],[f323]) ).
fof(f326,plain,
( ~ pd0_15
| pd0_17
| op(e3,e0) != e3
| op(e3,e3) != e0 ),
inference(cnf_transformation,[status(esa)],[f323]) ).
fof(f327,plain,
( ~ pd0_15
| pd0_17
| op(e3,e1) != e3
| op(e3,e3) != e1 ),
inference(cnf_transformation,[status(esa)],[f323]) ).
fof(f328,plain,
( ~ pd0_15
| pd0_17
| op(e3,e2) != e3
| op(e3,e3) != e2 ),
inference(cnf_transformation,[status(esa)],[f323]) ).
fof(f329,plain,
( ~ pd0_15
| pd0_17
| op(e3,e3) != e3
| op(e3,e3) != e3 ),
inference(cnf_transformation,[status(esa)],[f323]) ).
fof(f330,plain,
( ~ pd0_16
| ( op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e0,e0) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ( op(e0,e0) = e2
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) )
| ( op(e0,e0) = e3
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 ) )
| ( op(e1,e1) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e1,e1) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ( op(e1,e1) = e2
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f314]) ).
fof(f331,plain,
( pd0_18
=> ( ( op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e0,e0) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ( op(e0,e0) = e2
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) )
| ( op(e0,e0) = e3
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 ) )
| ( op(e1,e1) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e1,e1) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) ) ) ),
introduced(predicate_definition,[f330]) ).
fof(f332,plain,
( ~ pd0_16
| pd0_18
| ( op(e1,e1) = e2
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) ) ),
inference(formula_renaming,[status(thm)],[f330,f331]) ).
fof(f333,plain,
( ~ pd0_16
| pd0_18
| op(e1,e1) = e2 ),
inference(cnf_transformation,[status(esa)],[f332]) ).
fof(f334,plain,
( ~ pd0_16
| pd0_18
| op(e0,e0) != e2
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(esa)],[f332]) ).
fof(f335,plain,
( ~ pd0_16
| pd0_18
| op(e1,e1) != e2
| op(e1,e2) = e1 ),
inference(cnf_transformation,[status(esa)],[f332]) ).
fof(f337,plain,
( ~ pd0_16
| pd0_18
| op(e3,e3) != e2
| op(e3,e2) = e3 ),
inference(cnf_transformation,[status(esa)],[f332]) ).
fof(f338,plain,
( ~ pd0_17
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 ) )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f322]) ).
fof(f339,plain,
( pd0_19
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 ) )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) ) ) ),
introduced(predicate_definition,[f338]) ).
fof(f340,plain,
( ~ pd0_17
| pd0_19
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 ) ) ),
inference(formula_renaming,[status(thm)],[f338,f339]) ).
fof(f341,plain,
( ~ pd0_17
| pd0_19
| op(e1,e2) = e1 ),
inference(cnf_transformation,[status(esa)],[f340]) ).
fof(f342,plain,
( ~ pd0_17
| pd0_19
| op(e2,e1) = e1 ),
inference(cnf_transformation,[status(esa)],[f340]) ).
fof(f343,plain,
( ~ pd0_17
| pd0_19
| op(e2,e0) != e2
| op(e2,e2) != e0 ),
inference(cnf_transformation,[status(esa)],[f340]) ).
fof(f345,plain,
( ~ pd0_17
| pd0_19
| op(e2,e2) != e2
| op(e2,e2) != e2 ),
inference(cnf_transformation,[status(esa)],[f340]) ).
fof(f346,plain,
( ~ pd0_17
| pd0_19
| op(e2,e3) != e2
| op(e2,e2) != e3 ),
inference(cnf_transformation,[status(esa)],[f340]) ).
fof(f347,plain,
( ~ pd0_18
| ( op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e0,e0) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ( op(e0,e0) = e2
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) )
| ( op(e0,e0) = e3
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 ) )
| ( op(e1,e1) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e1,e1) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f331]) ).
fof(f348,plain,
( pd0_20
=> ( ( op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e0,e0) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ( op(e0,e0) = e2
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) )
| ( op(e0,e0) = e3
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 ) )
| ( op(e1,e1) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) ) ) ),
introduced(predicate_definition,[f347]) ).
fof(f349,plain,
( ~ pd0_18
| pd0_20
| ( op(e1,e1) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) ) ),
inference(formula_renaming,[status(thm)],[f347,f348]) ).
fof(f350,plain,
( ~ pd0_18
| pd0_20
| op(e1,e1) = e1 ),
inference(cnf_transformation,[status(esa)],[f349]) ).
fof(f351,plain,
( ~ pd0_18
| pd0_20
| op(e0,e0) != e1
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(esa)],[f349]) ).
fof(f353,plain,
( ~ pd0_18
| pd0_20
| op(e2,e2) != e1
| op(e2,e1) = e2 ),
inference(cnf_transformation,[status(esa)],[f349]) ).
fof(f354,plain,
( ~ pd0_18
| pd0_20
| op(e3,e3) != e1
| op(e3,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f349]) ).
fof(f355,plain,
( ~ pd0_19
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 ) )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f339]) ).
fof(f356,plain,
( pd0_21
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 ) )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) ) ) ),
introduced(predicate_definition,[f355]) ).
fof(f357,plain,
( ~ pd0_19
| pd0_21
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) ) ),
inference(formula_renaming,[status(thm)],[f355,f356]) ).
fof(f358,plain,
( ~ pd0_19
| pd0_21
| op(e1,e1) = e1 ),
inference(cnf_transformation,[status(esa)],[f357]) ).
fof(f360,plain,
( ~ pd0_19
| pd0_21
| op(e1,e0) != e1
| op(e1,e1) != e0 ),
inference(cnf_transformation,[status(esa)],[f357]) ).
fof(f361,plain,
( ~ pd0_19
| pd0_21
| op(e1,e1) != e1
| op(e1,e1) != e1 ),
inference(cnf_transformation,[status(esa)],[f357]) ).
fof(f362,plain,
( ~ pd0_19
| pd0_21
| op(e1,e2) != e1
| op(e1,e1) != e2 ),
inference(cnf_transformation,[status(esa)],[f357]) ).
fof(f363,plain,
( ~ pd0_19
| pd0_21
| op(e1,e3) != e1
| op(e1,e1) != e3 ),
inference(cnf_transformation,[status(esa)],[f357]) ).
fof(f364,plain,
( ~ pd0_20
| ( op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e0,e0) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ( op(e0,e0) = e2
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) )
| ( op(e0,e0) = e3
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 ) )
| ( op(e1,e1) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f348]) ).
fof(f365,plain,
( pd0_22
=> ( ( op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e0,e0) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ( op(e0,e0) = e2
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) )
| ( op(e0,e0) = e3
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 ) ) ) ),
introduced(predicate_definition,[f364]) ).
fof(f366,plain,
( ~ pd0_20
| pd0_22
| ( op(e1,e1) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) ) ),
inference(formula_renaming,[status(thm)],[f364,f365]) ).
fof(f367,plain,
( ~ pd0_20
| pd0_22
| op(e1,e1) = e0 ),
inference(cnf_transformation,[status(esa)],[f366]) ).
fof(f369,plain,
( ~ pd0_20
| pd0_22
| op(e1,e1) != e0
| op(e1,e0) = e1 ),
inference(cnf_transformation,[status(esa)],[f366]) ).
fof(f370,plain,
( ~ pd0_20
| pd0_22
| op(e2,e2) != e0
| op(e2,e0) = e2 ),
inference(cnf_transformation,[status(esa)],[f366]) ).
fof(f371,plain,
( ~ pd0_20
| pd0_22
| op(e3,e3) != e0
| op(e3,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f366]) ).
fof(f372,plain,
( ~ pd0_21
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 ) )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f356]) ).
fof(f373,plain,
( pd0_23
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 ) )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) ) ) ),
introduced(predicate_definition,[f372]) ).
fof(f374,plain,
( ~ pd0_21
| pd0_23
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) ) ),
inference(formula_renaming,[status(thm)],[f372,f373]) ).
fof(f375,plain,
( ~ pd0_21
| pd0_23
| op(e1,e0) = e1 ),
inference(cnf_transformation,[status(esa)],[f374]) ).
fof(f376,plain,
( ~ pd0_21
| pd0_23
| op(e0,e1) = e1 ),
inference(cnf_transformation,[status(esa)],[f374]) ).
fof(f377,plain,
( ~ pd0_21
| pd0_23
| op(e0,e0) != e0
| op(e0,e0) != e0 ),
inference(cnf_transformation,[status(esa)],[f374]) ).
fof(f379,plain,
( ~ pd0_21
| pd0_23
| op(e0,e2) != e0
| op(e0,e0) != e2 ),
inference(cnf_transformation,[status(esa)],[f374]) ).
fof(f380,plain,
( ~ pd0_21
| pd0_23
| op(e0,e3) != e0
| op(e0,e0) != e3 ),
inference(cnf_transformation,[status(esa)],[f374]) ).
fof(f381,plain,
( ~ pd0_22
| ( op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e0,e0) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ( op(e0,e0) = e2
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) )
| ( op(e0,e0) = e3
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f365]) ).
fof(f382,plain,
( pd0_24
=> ( ( op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e0,e0) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ( op(e0,e0) = e2
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) ) ) ),
introduced(predicate_definition,[f381]) ).
fof(f383,plain,
( ~ pd0_22
| pd0_24
| ( op(e0,e0) = e3
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 ) ) ),
inference(formula_renaming,[status(thm)],[f381,f382]) ).
fof(f384,plain,
( ~ pd0_22
| pd0_24
| op(e0,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f383]) ).
fof(f385,plain,
( ~ pd0_22
| pd0_24
| op(e0,e0) != e3
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f383]) ).
fof(f386,plain,
( ~ pd0_22
| pd0_24
| op(e1,e1) != e3
| op(e1,e3) = e1 ),
inference(cnf_transformation,[status(esa)],[f383]) ).
fof(f387,plain,
( ~ pd0_22
| pd0_24
| op(e2,e2) != e3
| op(e2,e3) = e2 ),
inference(cnf_transformation,[status(esa)],[f383]) ).
fof(f389,plain,
( ~ pd0_23
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 ) )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f373]) ).
fof(f390,plain,
( pd0_25
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 ) ) ) ),
introduced(predicate_definition,[f389]) ).
fof(f391,plain,
( ~ pd0_23
| pd0_25
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) ) ),
inference(formula_renaming,[status(thm)],[f389,f390]) ).
fof(f392,plain,
( ~ pd0_23
| pd0_25
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f391]) ).
fof(f393,plain,
( ~ pd0_23
| pd0_25
| op(e3,e0) = e0 ),
inference(cnf_transformation,[status(esa)],[f391]) ).
fof(f395,plain,
( ~ pd0_23
| pd0_25
| op(e3,e1) != e3
| op(e3,e3) != e1 ),
inference(cnf_transformation,[status(esa)],[f391]) ).
fof(f396,plain,
( ~ pd0_23
| pd0_25
| op(e3,e2) != e3
| op(e3,e3) != e2 ),
inference(cnf_transformation,[status(esa)],[f391]) ).
fof(f397,plain,
( ~ pd0_23
| pd0_25
| op(e3,e3) != e3
| op(e3,e3) != e3 ),
inference(cnf_transformation,[status(esa)],[f391]) ).
fof(f398,plain,
( ~ pd0_24
| ( op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e0,e0) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ( op(e0,e0) = e2
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f382]) ).
fof(f399,plain,
( pd0_26
=> ( ( op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e0,e0) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) ) ) ),
introduced(predicate_definition,[f398]) ).
fof(f400,plain,
( ~ pd0_24
| pd0_26
| ( op(e0,e0) = e2
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) ) ),
inference(formula_renaming,[status(thm)],[f398,f399]) ).
fof(f401,plain,
( ~ pd0_24
| pd0_26
| op(e0,e0) = e2 ),
inference(cnf_transformation,[status(esa)],[f400]) ).
fof(f402,plain,
( ~ pd0_24
| pd0_26
| op(e0,e0) != e2
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(esa)],[f400]) ).
fof(f403,plain,
( ~ pd0_24
| pd0_26
| op(e1,e1) != e2
| op(e1,e2) = e1 ),
inference(cnf_transformation,[status(esa)],[f400]) ).
fof(f405,plain,
( ~ pd0_24
| pd0_26
| op(e3,e3) != e2
| op(e3,e2) = e3 ),
inference(cnf_transformation,[status(esa)],[f400]) ).
fof(f406,plain,
( ~ pd0_25
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f390]) ).
fof(f407,plain,
( pd0_27
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) ) ) ),
introduced(predicate_definition,[f406]) ).
fof(f408,plain,
( ~ pd0_25
| pd0_27
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 ) ) ),
inference(formula_renaming,[status(thm)],[f406,f407]) ).
fof(f409,plain,
( ~ pd0_25
| pd0_27
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(esa)],[f408]) ).
fof(f410,plain,
( ~ pd0_25
| pd0_27
| op(e2,e0) = e0 ),
inference(cnf_transformation,[status(esa)],[f408]) ).
fof(f412,plain,
( ~ pd0_25
| pd0_27
| op(e2,e1) != e2
| op(e2,e2) != e1 ),
inference(cnf_transformation,[status(esa)],[f408]) ).
fof(f413,plain,
( ~ pd0_25
| pd0_27
| op(e2,e2) != e2
| op(e2,e2) != e2 ),
inference(cnf_transformation,[status(esa)],[f408]) ).
fof(f414,plain,
( ~ pd0_25
| pd0_27
| op(e2,e3) != e2
| op(e2,e2) != e3 ),
inference(cnf_transformation,[status(esa)],[f408]) ).
fof(f415,plain,
( ~ pd0_26
| ( op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( op(e0,e0) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f399]) ).
fof(f416,plain,
( pd0_28
=> ( op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) ) ),
introduced(predicate_definition,[f415]) ).
fof(f417,plain,
( ~ pd0_26
| pd0_28
| ( op(e0,e0) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) ) ),
inference(formula_renaming,[status(thm)],[f415,f416]) ).
fof(f418,plain,
( ~ pd0_26
| pd0_28
| op(e0,e0) = e1 ),
inference(cnf_transformation,[status(esa)],[f417]) ).
fof(f419,plain,
( ~ pd0_26
| pd0_28
| op(e0,e0) != e1
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(esa)],[f417]) ).
fof(f421,plain,
( ~ pd0_26
| pd0_28
| op(e2,e2) != e1
| op(e2,e1) = e2 ),
inference(cnf_transformation,[status(esa)],[f417]) ).
fof(f422,plain,
( ~ pd0_26
| pd0_28
| op(e3,e3) != e1
| op(e3,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f417]) ).
fof(f423,plain,
( ~ pd0_27
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f407]) ).
fof(f424,plain,
( pd0_29
=> ( op(e0,e0) = e0
& op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) ) ),
introduced(predicate_definition,[f423]) ).
fof(f425,plain,
( ~ pd0_27
| pd0_29
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 ) ) ),
inference(formula_renaming,[status(thm)],[f423,f424]) ).
fof(f426,plain,
( ~ pd0_27
| pd0_29
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(esa)],[f425]) ).
fof(f427,plain,
( ~ pd0_27
| pd0_29
| op(e1,e0) = e0 ),
inference(cnf_transformation,[status(esa)],[f425]) ).
fof(f428,plain,
( ~ pd0_27
| pd0_29
| op(e1,e0) != e1
| op(e1,e1) != e0 ),
inference(cnf_transformation,[status(esa)],[f425]) ).
fof(f429,plain,
( ~ pd0_27
| pd0_29
| op(e1,e1) != e1
| op(e1,e1) != e1 ),
inference(cnf_transformation,[status(esa)],[f425]) ).
fof(f430,plain,
( ~ pd0_27
| pd0_29
| op(e1,e2) != e1
| op(e1,e1) != e2 ),
inference(cnf_transformation,[status(esa)],[f425]) ).
fof(f431,plain,
( ~ pd0_27
| pd0_29
| op(e1,e3) != e1
| op(e1,e1) != e3 ),
inference(cnf_transformation,[status(esa)],[f425]) ).
fof(f432,plain,
( ~ pd0_28
| ( op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f416]) ).
fof(f433,plain,
( ~ pd0_28
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(esa)],[f432]) ).
fof(f435,plain,
( ~ pd0_28
| op(e1,e1) != e0
| op(e1,e0) = e1 ),
inference(cnf_transformation,[status(esa)],[f432]) ).
fof(f436,plain,
( ~ pd0_28
| op(e2,e2) != e0
| op(e2,e0) = e2 ),
inference(cnf_transformation,[status(esa)],[f432]) ).
fof(f437,plain,
( ~ pd0_28
| op(e3,e3) != e0
| op(e3,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f432]) ).
fof(f438,plain,
( ~ pd0_29
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f424]) ).
fof(f439,plain,
( ~ pd0_29
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(esa)],[f438]) ).
fof(f441,plain,
( ~ pd0_29
| op(e0,e0) != e0
| op(e0,e0) != e0 ),
inference(cnf_transformation,[status(esa)],[f438]) ).
fof(f442,plain,
( ~ pd0_29
| op(e0,e1) != e0
| op(e0,e0) != e1 ),
inference(cnf_transformation,[status(esa)],[f438]) ).
fof(f443,plain,
( ~ pd0_29
| op(e0,e2) != e0
| op(e0,e0) != e2 ),
inference(cnf_transformation,[status(esa)],[f438]) ).
fof(f444,plain,
( ~ pd0_29
| op(e0,e3) != e0
| op(e0,e0) != e3 ),
inference(cnf_transformation,[status(esa)],[f438]) ).
fof(f445,plain,
( spl0_0
<=> op(e0,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f446,plain,
( op(e0,e0) = e0
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f445]) ).
fof(f448,plain,
( spl0_1
<=> op(e0,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f449,plain,
( op(e0,e0) = e1
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f448]) ).
fof(f451,plain,
( spl0_2
<=> op(e0,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f452,plain,
( op(e0,e0) = e2
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f451]) ).
fof(f454,plain,
( spl0_3
<=> op(e0,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f455,plain,
( op(e0,e0) = e3
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f454]) ).
fof(f457,plain,
( spl0_0
| spl0_1
| spl0_2
| spl0_3 ),
inference(split_clause,[status(thm)],[f30,f445,f448,f451,f454]) ).
fof(f458,plain,
( spl0_4
<=> op(e0,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f459,plain,
( op(e0,e1) = e0
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f458]) ).
fof(f461,plain,
( spl0_5
<=> op(e0,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f462,plain,
( op(e0,e1) = e1
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f461]) ).
fof(f464,plain,
( spl0_6
<=> op(e0,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f465,plain,
( op(e0,e1) = e2
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f464]) ).
fof(f467,plain,
( spl0_7
<=> op(e0,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f468,plain,
( op(e0,e1) = e3
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f467]) ).
fof(f470,plain,
( spl0_4
| spl0_5
| spl0_6
| spl0_7 ),
inference(split_clause,[status(thm)],[f31,f458,f461,f464,f467]) ).
fof(f471,plain,
( spl0_8
<=> op(e0,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f472,plain,
( op(e0,e2) = e0
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f471]) ).
fof(f474,plain,
( spl0_9
<=> op(e0,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f475,plain,
( op(e0,e2) = e1
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f474]) ).
fof(f477,plain,
( spl0_10
<=> op(e0,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f478,plain,
( op(e0,e2) = e2
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f477]) ).
fof(f480,plain,
( spl0_11
<=> op(e0,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f481,plain,
( op(e0,e2) = e3
| ~ spl0_11 ),
inference(component_clause,[status(thm)],[f480]) ).
fof(f483,plain,
( spl0_8
| spl0_9
| spl0_10
| spl0_11 ),
inference(split_clause,[status(thm)],[f32,f471,f474,f477,f480]) ).
fof(f484,plain,
( spl0_12
<=> op(e0,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f485,plain,
( op(e0,e3) = e0
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f484]) ).
fof(f487,plain,
( spl0_13
<=> op(e0,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f488,plain,
( op(e0,e3) = e1
| ~ spl0_13 ),
inference(component_clause,[status(thm)],[f487]) ).
fof(f490,plain,
( spl0_14
<=> op(e0,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f491,plain,
( op(e0,e3) = e2
| ~ spl0_14 ),
inference(component_clause,[status(thm)],[f490]) ).
fof(f493,plain,
( spl0_15
<=> op(e0,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f494,plain,
( op(e0,e3) = e3
| ~ spl0_15 ),
inference(component_clause,[status(thm)],[f493]) ).
fof(f496,plain,
( spl0_12
| spl0_13
| spl0_14
| spl0_15 ),
inference(split_clause,[status(thm)],[f33,f484,f487,f490,f493]) ).
fof(f497,plain,
( spl0_16
<=> op(e1,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f498,plain,
( op(e1,e0) = e0
| ~ spl0_16 ),
inference(component_clause,[status(thm)],[f497]) ).
fof(f500,plain,
( spl0_17
<=> op(e1,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f501,plain,
( op(e1,e0) = e1
| ~ spl0_17 ),
inference(component_clause,[status(thm)],[f500]) ).
fof(f503,plain,
( spl0_18
<=> op(e1,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f504,plain,
( op(e1,e0) = e2
| ~ spl0_18 ),
inference(component_clause,[status(thm)],[f503]) ).
fof(f506,plain,
( spl0_19
<=> op(e1,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f507,plain,
( op(e1,e0) = e3
| ~ spl0_19 ),
inference(component_clause,[status(thm)],[f506]) ).
fof(f509,plain,
( spl0_16
| spl0_17
| spl0_18
| spl0_19 ),
inference(split_clause,[status(thm)],[f34,f497,f500,f503,f506]) ).
fof(f510,plain,
( spl0_20
<=> op(e1,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f511,plain,
( op(e1,e1) = e0
| ~ spl0_20 ),
inference(component_clause,[status(thm)],[f510]) ).
fof(f513,plain,
( spl0_21
<=> op(e1,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f514,plain,
( op(e1,e1) = e1
| ~ spl0_21 ),
inference(component_clause,[status(thm)],[f513]) ).
fof(f516,plain,
( spl0_22
<=> op(e1,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f517,plain,
( op(e1,e1) = e2
| ~ spl0_22 ),
inference(component_clause,[status(thm)],[f516]) ).
fof(f519,plain,
( spl0_23
<=> op(e1,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f520,plain,
( op(e1,e1) = e3
| ~ spl0_23 ),
inference(component_clause,[status(thm)],[f519]) ).
fof(f522,plain,
( spl0_20
| spl0_21
| spl0_22
| spl0_23 ),
inference(split_clause,[status(thm)],[f35,f510,f513,f516,f519]) ).
fof(f523,plain,
( spl0_24
<=> op(e1,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f524,plain,
( op(e1,e2) = e0
| ~ spl0_24 ),
inference(component_clause,[status(thm)],[f523]) ).
fof(f526,plain,
( spl0_25
<=> op(e1,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f527,plain,
( op(e1,e2) = e1
| ~ spl0_25 ),
inference(component_clause,[status(thm)],[f526]) ).
fof(f529,plain,
( spl0_26
<=> op(e1,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f530,plain,
( op(e1,e2) = e2
| ~ spl0_26 ),
inference(component_clause,[status(thm)],[f529]) ).
fof(f532,plain,
( spl0_27
<=> op(e1,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f533,plain,
( op(e1,e2) = e3
| ~ spl0_27 ),
inference(component_clause,[status(thm)],[f532]) ).
fof(f535,plain,
( spl0_24
| spl0_25
| spl0_26
| spl0_27 ),
inference(split_clause,[status(thm)],[f36,f523,f526,f529,f532]) ).
fof(f536,plain,
( spl0_28
<=> op(e1,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f537,plain,
( op(e1,e3) = e0
| ~ spl0_28 ),
inference(component_clause,[status(thm)],[f536]) ).
fof(f539,plain,
( spl0_29
<=> op(e1,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f540,plain,
( op(e1,e3) = e1
| ~ spl0_29 ),
inference(component_clause,[status(thm)],[f539]) ).
fof(f542,plain,
( spl0_30
<=> op(e1,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f543,plain,
( op(e1,e3) = e2
| ~ spl0_30 ),
inference(component_clause,[status(thm)],[f542]) ).
fof(f545,plain,
( spl0_31
<=> op(e1,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f546,plain,
( op(e1,e3) = e3
| ~ spl0_31 ),
inference(component_clause,[status(thm)],[f545]) ).
fof(f548,plain,
( spl0_28
| spl0_29
| spl0_30
| spl0_31 ),
inference(split_clause,[status(thm)],[f37,f536,f539,f542,f545]) ).
fof(f549,plain,
( spl0_32
<=> op(e2,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f550,plain,
( op(e2,e0) = e0
| ~ spl0_32 ),
inference(component_clause,[status(thm)],[f549]) ).
fof(f552,plain,
( spl0_33
<=> op(e2,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f553,plain,
( op(e2,e0) = e1
| ~ spl0_33 ),
inference(component_clause,[status(thm)],[f552]) ).
fof(f555,plain,
( spl0_34
<=> op(e2,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f556,plain,
( op(e2,e0) = e2
| ~ spl0_34 ),
inference(component_clause,[status(thm)],[f555]) ).
fof(f558,plain,
( spl0_35
<=> op(e2,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f559,plain,
( op(e2,e0) = e3
| ~ spl0_35 ),
inference(component_clause,[status(thm)],[f558]) ).
fof(f561,plain,
( spl0_32
| spl0_33
| spl0_34
| spl0_35 ),
inference(split_clause,[status(thm)],[f38,f549,f552,f555,f558]) ).
fof(f562,plain,
( spl0_36
<=> op(e2,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f563,plain,
( op(e2,e1) = e0
| ~ spl0_36 ),
inference(component_clause,[status(thm)],[f562]) ).
fof(f565,plain,
( spl0_37
<=> op(e2,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f566,plain,
( op(e2,e1) = e1
| ~ spl0_37 ),
inference(component_clause,[status(thm)],[f565]) ).
fof(f568,plain,
( spl0_38
<=> op(e2,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f569,plain,
( op(e2,e1) = e2
| ~ spl0_38 ),
inference(component_clause,[status(thm)],[f568]) ).
fof(f571,plain,
( spl0_39
<=> op(e2,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f572,plain,
( op(e2,e1) = e3
| ~ spl0_39 ),
inference(component_clause,[status(thm)],[f571]) ).
fof(f574,plain,
( spl0_36
| spl0_37
| spl0_38
| spl0_39 ),
inference(split_clause,[status(thm)],[f39,f562,f565,f568,f571]) ).
fof(f575,plain,
( spl0_40
<=> op(e2,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f576,plain,
( op(e2,e2) = e0
| ~ spl0_40 ),
inference(component_clause,[status(thm)],[f575]) ).
fof(f578,plain,
( spl0_41
<=> op(e2,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f579,plain,
( op(e2,e2) = e1
| ~ spl0_41 ),
inference(component_clause,[status(thm)],[f578]) ).
fof(f581,plain,
( spl0_42
<=> op(e2,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f582,plain,
( op(e2,e2) = e2
| ~ spl0_42 ),
inference(component_clause,[status(thm)],[f581]) ).
fof(f584,plain,
( spl0_43
<=> op(e2,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f585,plain,
( op(e2,e2) = e3
| ~ spl0_43 ),
inference(component_clause,[status(thm)],[f584]) ).
fof(f587,plain,
( spl0_40
| spl0_41
| spl0_42
| spl0_43 ),
inference(split_clause,[status(thm)],[f40,f575,f578,f581,f584]) ).
fof(f588,plain,
( spl0_44
<=> op(e2,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f589,plain,
( op(e2,e3) = e0
| ~ spl0_44 ),
inference(component_clause,[status(thm)],[f588]) ).
fof(f591,plain,
( spl0_45
<=> op(e2,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f592,plain,
( op(e2,e3) = e1
| ~ spl0_45 ),
inference(component_clause,[status(thm)],[f591]) ).
fof(f594,plain,
( spl0_46
<=> op(e2,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f595,plain,
( op(e2,e3) = e2
| ~ spl0_46 ),
inference(component_clause,[status(thm)],[f594]) ).
fof(f597,plain,
( spl0_47
<=> op(e2,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f598,plain,
( op(e2,e3) = e3
| ~ spl0_47 ),
inference(component_clause,[status(thm)],[f597]) ).
fof(f600,plain,
( spl0_44
| spl0_45
| spl0_46
| spl0_47 ),
inference(split_clause,[status(thm)],[f41,f588,f591,f594,f597]) ).
fof(f601,plain,
( spl0_48
<=> op(e3,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f602,plain,
( op(e3,e0) = e0
| ~ spl0_48 ),
inference(component_clause,[status(thm)],[f601]) ).
fof(f604,plain,
( spl0_49
<=> op(e3,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f605,plain,
( op(e3,e0) = e1
| ~ spl0_49 ),
inference(component_clause,[status(thm)],[f604]) ).
fof(f607,plain,
( spl0_50
<=> op(e3,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f608,plain,
( op(e3,e0) = e2
| ~ spl0_50 ),
inference(component_clause,[status(thm)],[f607]) ).
fof(f610,plain,
( spl0_51
<=> op(e3,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f611,plain,
( op(e3,e0) = e3
| ~ spl0_51 ),
inference(component_clause,[status(thm)],[f610]) ).
fof(f613,plain,
( spl0_48
| spl0_49
| spl0_50
| spl0_51 ),
inference(split_clause,[status(thm)],[f42,f601,f604,f607,f610]) ).
fof(f614,plain,
( spl0_52
<=> op(e3,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f615,plain,
( op(e3,e1) = e0
| ~ spl0_52 ),
inference(component_clause,[status(thm)],[f614]) ).
fof(f617,plain,
( spl0_53
<=> op(e3,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f618,plain,
( op(e3,e1) = e1
| ~ spl0_53 ),
inference(component_clause,[status(thm)],[f617]) ).
fof(f620,plain,
( spl0_54
<=> op(e3,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f621,plain,
( op(e3,e1) = e2
| ~ spl0_54 ),
inference(component_clause,[status(thm)],[f620]) ).
fof(f623,plain,
( spl0_55
<=> op(e3,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f624,plain,
( op(e3,e1) = e3
| ~ spl0_55 ),
inference(component_clause,[status(thm)],[f623]) ).
fof(f626,plain,
( spl0_52
| spl0_53
| spl0_54
| spl0_55 ),
inference(split_clause,[status(thm)],[f43,f614,f617,f620,f623]) ).
fof(f627,plain,
( spl0_56
<=> op(e3,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f628,plain,
( op(e3,e2) = e0
| ~ spl0_56 ),
inference(component_clause,[status(thm)],[f627]) ).
fof(f630,plain,
( spl0_57
<=> op(e3,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f631,plain,
( op(e3,e2) = e1
| ~ spl0_57 ),
inference(component_clause,[status(thm)],[f630]) ).
fof(f633,plain,
( spl0_58
<=> op(e3,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f634,plain,
( op(e3,e2) = e2
| ~ spl0_58 ),
inference(component_clause,[status(thm)],[f633]) ).
fof(f636,plain,
( spl0_59
<=> op(e3,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f637,plain,
( op(e3,e2) = e3
| ~ spl0_59 ),
inference(component_clause,[status(thm)],[f636]) ).
fof(f639,plain,
( spl0_56
| spl0_57
| spl0_58
| spl0_59 ),
inference(split_clause,[status(thm)],[f44,f627,f630,f633,f636]) ).
fof(f640,plain,
( spl0_60
<=> op(e3,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f641,plain,
( op(e3,e3) = e0
| ~ spl0_60 ),
inference(component_clause,[status(thm)],[f640]) ).
fof(f643,plain,
( spl0_61
<=> op(e3,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f644,plain,
( op(e3,e3) = e1
| ~ spl0_61 ),
inference(component_clause,[status(thm)],[f643]) ).
fof(f646,plain,
( spl0_62
<=> op(e3,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f647,plain,
( op(e3,e3) = e2
| ~ spl0_62 ),
inference(component_clause,[status(thm)],[f646]) ).
fof(f649,plain,
( spl0_63
<=> op(e3,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f650,plain,
( op(e3,e3) = e3
| ~ spl0_63 ),
inference(component_clause,[status(thm)],[f649]) ).
fof(f652,plain,
( spl0_60
| spl0_61
| spl0_62
| spl0_63 ),
inference(split_clause,[status(thm)],[f45,f640,f643,f646,f649]) ).
fof(f653,plain,
( spl0_0
| spl0_4
| spl0_8
| spl0_12 ),
inference(split_clause,[status(thm)],[f46,f445,f458,f471,f484]) ).
fof(f654,plain,
( spl0_0
| spl0_16
| spl0_32
| spl0_48 ),
inference(split_clause,[status(thm)],[f47,f445,f497,f549,f601]) ).
fof(f655,plain,
( spl0_1
| spl0_5
| spl0_9
| spl0_13 ),
inference(split_clause,[status(thm)],[f48,f448,f461,f474,f487]) ).
fof(f656,plain,
( spl0_1
| spl0_17
| spl0_33
| spl0_49 ),
inference(split_clause,[status(thm)],[f49,f448,f500,f552,f604]) ).
fof(f657,plain,
( spl0_2
| spl0_6
| spl0_10
| spl0_14 ),
inference(split_clause,[status(thm)],[f50,f451,f464,f477,f490]) ).
fof(f658,plain,
( spl0_2
| spl0_18
| spl0_34
| spl0_50 ),
inference(split_clause,[status(thm)],[f51,f451,f503,f555,f607]) ).
fof(f659,plain,
( spl0_3
| spl0_7
| spl0_11
| spl0_15 ),
inference(split_clause,[status(thm)],[f52,f454,f467,f480,f493]) ).
fof(f660,plain,
( spl0_3
| spl0_19
| spl0_35
| spl0_51 ),
inference(split_clause,[status(thm)],[f53,f454,f506,f558,f610]) ).
fof(f661,plain,
( spl0_16
| spl0_20
| spl0_24
| spl0_28 ),
inference(split_clause,[status(thm)],[f54,f497,f510,f523,f536]) ).
fof(f662,plain,
( spl0_4
| spl0_20
| spl0_36
| spl0_52 ),
inference(split_clause,[status(thm)],[f55,f458,f510,f562,f614]) ).
fof(f663,plain,
( spl0_17
| spl0_21
| spl0_25
| spl0_29 ),
inference(split_clause,[status(thm)],[f56,f500,f513,f526,f539]) ).
fof(f664,plain,
( spl0_5
| spl0_21
| spl0_37
| spl0_53 ),
inference(split_clause,[status(thm)],[f57,f461,f513,f565,f617]) ).
fof(f665,plain,
( spl0_18
| spl0_22
| spl0_26
| spl0_30 ),
inference(split_clause,[status(thm)],[f58,f503,f516,f529,f542]) ).
fof(f666,plain,
( spl0_6
| spl0_22
| spl0_38
| spl0_54 ),
inference(split_clause,[status(thm)],[f59,f464,f516,f568,f620]) ).
fof(f667,plain,
( spl0_19
| spl0_23
| spl0_27
| spl0_31 ),
inference(split_clause,[status(thm)],[f60,f506,f519,f532,f545]) ).
fof(f668,plain,
( spl0_7
| spl0_23
| spl0_39
| spl0_55 ),
inference(split_clause,[status(thm)],[f61,f467,f519,f571,f623]) ).
fof(f669,plain,
( spl0_32
| spl0_36
| spl0_40
| spl0_44 ),
inference(split_clause,[status(thm)],[f62,f549,f562,f575,f588]) ).
fof(f670,plain,
( spl0_8
| spl0_24
| spl0_40
| spl0_56 ),
inference(split_clause,[status(thm)],[f63,f471,f523,f575,f627]) ).
fof(f671,plain,
( spl0_33
| spl0_37
| spl0_41
| spl0_45 ),
inference(split_clause,[status(thm)],[f64,f552,f565,f578,f591]) ).
fof(f672,plain,
( spl0_9
| spl0_25
| spl0_41
| spl0_57 ),
inference(split_clause,[status(thm)],[f65,f474,f526,f578,f630]) ).
fof(f673,plain,
( spl0_34
| spl0_38
| spl0_42
| spl0_46 ),
inference(split_clause,[status(thm)],[f66,f555,f568,f581,f594]) ).
fof(f674,plain,
( spl0_10
| spl0_26
| spl0_42
| spl0_58 ),
inference(split_clause,[status(thm)],[f67,f477,f529,f581,f633]) ).
fof(f675,plain,
( spl0_35
| spl0_39
| spl0_43
| spl0_47 ),
inference(split_clause,[status(thm)],[f68,f558,f571,f584,f597]) ).
fof(f676,plain,
( spl0_11
| spl0_27
| spl0_43
| spl0_59 ),
inference(split_clause,[status(thm)],[f69,f480,f532,f584,f636]) ).
fof(f677,plain,
( spl0_48
| spl0_52
| spl0_56
| spl0_60 ),
inference(split_clause,[status(thm)],[f70,f601,f614,f627,f640]) ).
fof(f678,plain,
( spl0_12
| spl0_28
| spl0_44
| spl0_60 ),
inference(split_clause,[status(thm)],[f71,f484,f536,f588,f640]) ).
fof(f679,plain,
( spl0_49
| spl0_53
| spl0_57
| spl0_61 ),
inference(split_clause,[status(thm)],[f72,f604,f617,f630,f643]) ).
fof(f680,plain,
( spl0_13
| spl0_29
| spl0_45
| spl0_61 ),
inference(split_clause,[status(thm)],[f73,f487,f539,f591,f643]) ).
fof(f681,plain,
( spl0_50
| spl0_54
| spl0_58
| spl0_62 ),
inference(split_clause,[status(thm)],[f74,f607,f620,f633,f646]) ).
fof(f682,plain,
( spl0_14
| spl0_30
| spl0_46
| spl0_62 ),
inference(split_clause,[status(thm)],[f75,f490,f542,f594,f646]) ).
fof(f683,plain,
( spl0_51
| spl0_55
| spl0_59
| spl0_63 ),
inference(split_clause,[status(thm)],[f76,f610,f623,f636,f649]) ).
fof(f684,plain,
( spl0_15
| spl0_31
| spl0_47
| spl0_63 ),
inference(split_clause,[status(thm)],[f77,f493,f545,f597,f649]) ).
fof(f685,plain,
( spl0_64
<=> pd0_0 ),
introduced(split_symbol_definition) ).
fof(f688,plain,
( spl0_64
| spl0_63 ),
inference(split_clause,[status(thm)],[f135,f685,f649]) ).
fof(f689,plain,
( spl0_64
| ~ spl0_3
| spl0_12 ),
inference(split_clause,[status(thm)],[f136,f685,f454,f484]) ).
fof(f690,plain,
( spl0_64
| ~ spl0_23
| spl0_29 ),
inference(split_clause,[status(thm)],[f137,f685,f519,f539]) ).
fof(f691,plain,
( spl0_64
| ~ spl0_43
| spl0_46 ),
inference(split_clause,[status(thm)],[f138,f685,f584,f594]) ).
fof(f693,plain,
( spl0_65
<=> pd0_1 ),
introduced(split_symbol_definition) ).
fof(f696,plain,
( spl0_65
| spl0_63 ),
inference(split_clause,[status(thm)],[f140,f693,f649]) ).
fof(f698,plain,
( spl0_65
| ~ spl0_51
| ~ spl0_60 ),
inference(split_clause,[status(thm)],[f142,f693,f610,f640]) ).
fof(f699,plain,
( spl0_65
| ~ spl0_55
| ~ spl0_61 ),
inference(split_clause,[status(thm)],[f143,f693,f623,f643]) ).
fof(f700,plain,
( spl0_65
| ~ spl0_59
| ~ spl0_62 ),
inference(split_clause,[status(thm)],[f144,f693,f636,f646]) ).
fof(f701,plain,
( spl0_65
| ~ spl0_63 ),
inference(split_clause,[status(thm)],[f145,f693,f649]) ).
fof(f702,plain,
( spl0_66
<=> e0 = op(op(e2,e2),op(e2,e2)) ),
introduced(split_symbol_definition) ).
fof(f704,plain,
( e0 != op(op(e2,e2),op(e2,e2))
| spl0_66 ),
inference(component_clause,[status(thm)],[f702]) ).
fof(f705,plain,
( spl0_67
<=> e3 = op(e2,op(e2,e2)) ),
introduced(split_symbol_definition) ).
fof(f707,plain,
( e3 != op(e2,op(e2,e2))
| spl0_67 ),
inference(component_clause,[status(thm)],[f705]) ).
fof(f708,plain,
( ~ spl0_66
| ~ spl0_41
| ~ spl0_67 ),
inference(split_clause,[status(thm)],[f147,f702,f578,f705]) ).
fof(f709,plain,
( spl0_68
<=> e0 = op(op(e3,e3),op(e3,e3)) ),
introduced(split_symbol_definition) ).
fof(f710,plain,
( e0 = op(op(e3,e3),op(e3,e3))
| ~ spl0_68 ),
inference(component_clause,[status(thm)],[f709]) ).
fof(f711,plain,
( e0 != op(op(e3,e3),op(e3,e3))
| spl0_68 ),
inference(component_clause,[status(thm)],[f709]) ).
fof(f712,plain,
( spl0_69
<=> e2 = op(e3,op(e3,e3)) ),
introduced(split_symbol_definition) ).
fof(f714,plain,
( e2 != op(e3,op(e3,e3))
| spl0_69 ),
inference(component_clause,[status(thm)],[f712]) ).
fof(f715,plain,
( ~ spl0_68
| ~ spl0_61
| ~ spl0_69 ),
inference(split_clause,[status(thm)],[f149,f709,f643,f712]) ).
fof(f716,plain,
( spl0_70
<=> e0 = op(op(e1,e1),op(e1,e1)) ),
introduced(split_symbol_definition) ).
fof(f718,plain,
( e0 != op(op(e1,e1),op(e1,e1))
| spl0_70 ),
inference(component_clause,[status(thm)],[f716]) ).
fof(f719,plain,
( spl0_71
<=> e3 = op(e1,op(e1,e1)) ),
introduced(split_symbol_definition) ).
fof(f723,plain,
( spl0_72
<=> e1 = op(e3,op(e3,e3)) ),
introduced(split_symbol_definition) ).
fof(f725,plain,
( e1 != op(e3,op(e3,e3))
| spl0_72 ),
inference(component_clause,[status(thm)],[f723]) ).
fof(f726,plain,
( ~ spl0_68
| ~ spl0_62
| ~ spl0_72 ),
inference(split_clause,[status(thm)],[f153,f709,f646,f723]) ).
fof(f727,plain,
( spl0_73
<=> e2 = op(e1,op(e1,e1)) ),
introduced(split_symbol_definition) ).
fof(f729,plain,
( e2 != op(e1,op(e1,e1))
| spl0_73 ),
inference(component_clause,[status(thm)],[f727]) ).
fof(f730,plain,
( ~ spl0_70
| ~ spl0_23
| ~ spl0_73 ),
inference(split_clause,[status(thm)],[f155,f716,f519,f727]) ).
fof(f731,plain,
( spl0_74
<=> e1 = op(e2,op(e2,e2)) ),
introduced(split_symbol_definition) ).
fof(f733,plain,
( e1 != op(e2,op(e2,e2))
| spl0_74 ),
inference(component_clause,[status(thm)],[f731]) ).
fof(f734,plain,
( ~ spl0_66
| ~ spl0_43
| ~ spl0_74 ),
inference(split_clause,[status(thm)],[f157,f702,f584,f731]) ).
fof(f735,plain,
( spl0_75
<=> e1 = op(op(e2,e2),op(e2,e2)) ),
introduced(split_symbol_definition) ).
fof(f737,plain,
( e1 != op(op(e2,e2),op(e2,e2))
| spl0_75 ),
inference(component_clause,[status(thm)],[f735]) ).
fof(f738,plain,
( ~ spl0_75
| ~ spl0_40
| ~ spl0_67 ),
inference(split_clause,[status(thm)],[f159,f735,f575,f705]) ).
fof(f739,plain,
( spl0_76
<=> e1 = op(op(e3,e3),op(e3,e3)) ),
introduced(split_symbol_definition) ).
fof(f741,plain,
( e1 != op(op(e3,e3),op(e3,e3))
| spl0_76 ),
inference(component_clause,[status(thm)],[f739]) ).
fof(f742,plain,
( ~ spl0_76
| ~ spl0_60
| ~ spl0_69 ),
inference(split_clause,[status(thm)],[f161,f739,f640,f712]) ).
fof(f743,plain,
( spl0_77
<=> e1 = op(op(e0,e0),op(e0,e0)) ),
introduced(split_symbol_definition) ).
fof(f744,plain,
( e1 = op(op(e0,e0),op(e0,e0))
| ~ spl0_77 ),
inference(component_clause,[status(thm)],[f743]) ).
fof(f745,plain,
( e1 != op(op(e0,e0),op(e0,e0))
| spl0_77 ),
inference(component_clause,[status(thm)],[f743]) ).
fof(f746,plain,
( spl0_78
<=> e3 = op(e0,op(e0,e0)) ),
introduced(split_symbol_definition) ).
fof(f748,plain,
( e3 != op(e0,op(e0,e0))
| spl0_78 ),
inference(component_clause,[status(thm)],[f746]) ).
fof(f749,plain,
( ~ spl0_77
| ~ spl0_2
| ~ spl0_78 ),
inference(split_clause,[status(thm)],[f163,f743,f451,f746]) ).
fof(f750,plain,
( spl0_79
<=> e0 = op(e3,op(e3,e3)) ),
introduced(split_symbol_definition) ).
fof(f752,plain,
( e0 != op(e3,op(e3,e3))
| spl0_79 ),
inference(component_clause,[status(thm)],[f750]) ).
fof(f753,plain,
( ~ spl0_76
| ~ spl0_62
| ~ spl0_79 ),
inference(split_clause,[status(thm)],[f165,f739,f646,f750]) ).
fof(f754,plain,
( spl0_80
<=> e2 = op(e0,op(e0,e0)) ),
introduced(split_symbol_definition) ).
fof(f756,plain,
( e2 != op(e0,op(e0,e0))
| spl0_80 ),
inference(component_clause,[status(thm)],[f754]) ).
fof(f757,plain,
( ~ spl0_77
| ~ spl0_3
| ~ spl0_80 ),
inference(split_clause,[status(thm)],[f167,f743,f454,f754]) ).
fof(f758,plain,
( spl0_81
<=> e0 = op(e2,op(e2,e2)) ),
introduced(split_symbol_definition) ).
fof(f760,plain,
( e0 != op(e2,op(e2,e2))
| spl0_81 ),
inference(component_clause,[status(thm)],[f758]) ).
fof(f761,plain,
( ~ spl0_75
| ~ spl0_43
| ~ spl0_81 ),
inference(split_clause,[status(thm)],[f169,f735,f584,f758]) ).
fof(f762,plain,
( spl0_82
<=> e2 = op(op(e1,e1),op(e1,e1)) ),
introduced(split_symbol_definition) ).
fof(f764,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| spl0_82 ),
inference(component_clause,[status(thm)],[f762]) ).
fof(f765,plain,
( ~ spl0_82
| ~ spl0_20
| ~ spl0_71 ),
inference(split_clause,[status(thm)],[f171,f762,f510,f719]) ).
fof(f766,plain,
( spl0_83
<=> e2 = op(op(e3,e3),op(e3,e3)) ),
introduced(split_symbol_definition) ).
fof(f768,plain,
( e2 != op(op(e3,e3),op(e3,e3))
| spl0_83 ),
inference(component_clause,[status(thm)],[f766]) ).
fof(f769,plain,
( ~ spl0_83
| ~ spl0_60
| ~ spl0_72 ),
inference(split_clause,[status(thm)],[f173,f766,f640,f723]) ).
fof(f770,plain,
( spl0_84
<=> e2 = op(op(e0,e0),op(e0,e0)) ),
introduced(split_symbol_definition) ).
fof(f771,plain,
( e2 = op(op(e0,e0),op(e0,e0))
| ~ spl0_84 ),
inference(component_clause,[status(thm)],[f770]) ).
fof(f772,plain,
( e2 != op(op(e0,e0),op(e0,e0))
| spl0_84 ),
inference(component_clause,[status(thm)],[f770]) ).
fof(f773,plain,
( ~ spl0_84
| ~ spl0_1
| ~ spl0_78 ),
inference(split_clause,[status(thm)],[f175,f770,f448,f746]) ).
fof(f774,plain,
( ~ spl0_83
| ~ spl0_61
| ~ spl0_79 ),
inference(split_clause,[status(thm)],[f177,f766,f643,f750]) ).
fof(f775,plain,
( spl0_85
<=> e1 = op(e0,op(e0,e0)) ),
introduced(split_symbol_definition) ).
fof(f776,plain,
( e1 = op(e0,op(e0,e0))
| ~ spl0_85 ),
inference(component_clause,[status(thm)],[f775]) ).
fof(f777,plain,
( e1 != op(e0,op(e0,e0))
| spl0_85 ),
inference(component_clause,[status(thm)],[f775]) ).
fof(f778,plain,
( ~ spl0_84
| ~ spl0_3
| ~ spl0_85 ),
inference(split_clause,[status(thm)],[f179,f770,f454,f775]) ).
fof(f779,plain,
( spl0_86
<=> e0 = op(e1,op(e1,e1)) ),
introduced(split_symbol_definition) ).
fof(f781,plain,
( e0 != op(e1,op(e1,e1))
| spl0_86 ),
inference(component_clause,[status(thm)],[f779]) ).
fof(f782,plain,
( ~ spl0_82
| ~ spl0_23
| ~ spl0_86 ),
inference(split_clause,[status(thm)],[f181,f762,f519,f779]) ).
fof(f783,plain,
( spl0_87
<=> e3 = op(op(e1,e1),op(e1,e1)) ),
introduced(split_symbol_definition) ).
fof(f785,plain,
( e3 != op(op(e1,e1),op(e1,e1))
| spl0_87 ),
inference(component_clause,[status(thm)],[f783]) ).
fof(f786,plain,
( ~ spl0_87
| ~ spl0_20
| ~ spl0_73 ),
inference(split_clause,[status(thm)],[f183,f783,f510,f727]) ).
fof(f787,plain,
( spl0_88
<=> e3 = op(op(e2,e2),op(e2,e2)) ),
introduced(split_symbol_definition) ).
fof(f788,plain,
( e3 = op(op(e2,e2),op(e2,e2))
| ~ spl0_88 ),
inference(component_clause,[status(thm)],[f787]) ).
fof(f789,plain,
( e3 != op(op(e2,e2),op(e2,e2))
| spl0_88 ),
inference(component_clause,[status(thm)],[f787]) ).
fof(f790,plain,
( ~ spl0_88
| ~ spl0_40
| ~ spl0_74 ),
inference(split_clause,[status(thm)],[f185,f787,f575,f731]) ).
fof(f791,plain,
( spl0_89
<=> e3 = op(op(e0,e0),op(e0,e0)) ),
introduced(split_symbol_definition) ).
fof(f792,plain,
( e3 = op(op(e0,e0),op(e0,e0))
| ~ spl0_89 ),
inference(component_clause,[status(thm)],[f791]) ).
fof(f793,plain,
( e3 != op(op(e0,e0),op(e0,e0))
| spl0_89 ),
inference(component_clause,[status(thm)],[f791]) ).
fof(f794,plain,
( ~ spl0_89
| ~ spl0_1
| ~ spl0_80 ),
inference(split_clause,[status(thm)],[f187,f791,f448,f754]) ).
fof(f795,plain,
( ~ spl0_88
| ~ spl0_41
| ~ spl0_81 ),
inference(split_clause,[status(thm)],[f189,f787,f578,f758]) ).
fof(f796,plain,
( ~ spl0_89
| ~ spl0_2
| ~ spl0_85 ),
inference(split_clause,[status(thm)],[f191,f791,f451,f775]) ).
fof(f797,plain,
( ~ spl0_87
| ~ spl0_22
| ~ spl0_86 ),
inference(split_clause,[status(thm)],[f193,f783,f516,f779]) ).
fof(f798,plain,
( spl0_90
<=> pd0_2 ),
introduced(split_symbol_definition) ).
fof(f801,plain,
( ~ spl0_64
| spl0_90
| spl0_62 ),
inference(split_clause,[status(thm)],[f197,f685,f798,f646]) ).
fof(f802,plain,
( ~ spl0_64
| spl0_90
| ~ spl0_2
| spl0_8 ),
inference(split_clause,[status(thm)],[f198,f685,f798,f451,f471]) ).
fof(f803,plain,
( ~ spl0_64
| spl0_90
| ~ spl0_22
| spl0_25 ),
inference(split_clause,[status(thm)],[f199,f685,f798,f516,f526]) ).
fof(f805,plain,
( ~ spl0_64
| spl0_90
| ~ spl0_62
| spl0_59 ),
inference(split_clause,[status(thm)],[f201,f685,f798,f646,f636]) ).
fof(f806,plain,
( spl0_91
<=> pd0_3 ),
introduced(split_symbol_definition) ).
fof(f809,plain,
( ~ spl0_65
| spl0_91
| spl0_59 ),
inference(split_clause,[status(thm)],[f205,f693,f806,f636]) ).
fof(f810,plain,
( ~ spl0_65
| spl0_91
| spl0_47 ),
inference(split_clause,[status(thm)],[f206,f693,f806,f597]) ).
fof(f811,plain,
( ~ spl0_65
| spl0_91
| ~ spl0_34
| ~ spl0_40 ),
inference(split_clause,[status(thm)],[f207,f693,f806,f555,f575]) ).
fof(f812,plain,
( ~ spl0_65
| spl0_91
| ~ spl0_38
| ~ spl0_41 ),
inference(split_clause,[status(thm)],[f208,f693,f806,f568,f578]) ).
fof(f813,plain,
( ~ spl0_65
| spl0_91
| ~ spl0_42 ),
inference(split_clause,[status(thm)],[f209,f693,f806,f581]) ).
fof(f815,plain,
( spl0_92
<=> pd0_4 ),
introduced(split_symbol_definition) ).
fof(f818,plain,
( ~ spl0_90
| spl0_92
| spl0_61 ),
inference(split_clause,[status(thm)],[f214,f798,f815,f643]) ).
fof(f819,plain,
( ~ spl0_90
| spl0_92
| ~ spl0_1
| spl0_4 ),
inference(split_clause,[status(thm)],[f215,f798,f815,f448,f458]) ).
fof(f821,plain,
( ~ spl0_90
| spl0_92
| ~ spl0_41
| spl0_38 ),
inference(split_clause,[status(thm)],[f217,f798,f815,f578,f568]) ).
fof(f822,plain,
( ~ spl0_90
| spl0_92
| ~ spl0_61
| spl0_55 ),
inference(split_clause,[status(thm)],[f218,f798,f815,f643,f623]) ).
fof(f823,plain,
( spl0_93
<=> pd0_5 ),
introduced(split_symbol_definition) ).
fof(f826,plain,
( ~ spl0_91
| spl0_93
| spl0_55 ),
inference(split_clause,[status(thm)],[f222,f806,f823,f623]) ).
fof(f827,plain,
( ~ spl0_91
| spl0_93
| spl0_31 ),
inference(split_clause,[status(thm)],[f223,f806,f823,f545]) ).
fof(f828,plain,
( ~ spl0_91
| spl0_93
| ~ spl0_17
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f224,f806,f823,f500,f510]) ).
fof(f829,plain,
( ~ spl0_91
| spl0_93
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f225,f806,f823,f513]) ).
fof(f830,plain,
( ~ spl0_91
| spl0_93
| ~ spl0_25
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f226,f806,f823,f526,f516]) ).
fof(f831,plain,
( ~ spl0_91
| spl0_93
| ~ spl0_29
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f227,f806,f823,f539,f519]) ).
fof(f832,plain,
( spl0_94
<=> pd0_6 ),
introduced(split_symbol_definition) ).
fof(f835,plain,
( ~ spl0_92
| spl0_94
| spl0_60 ),
inference(split_clause,[status(thm)],[f231,f815,f832,f640]) ).
fof(f837,plain,
( ~ spl0_92
| spl0_94
| ~ spl0_20
| spl0_17 ),
inference(split_clause,[status(thm)],[f233,f815,f832,f510,f500]) ).
fof(f838,plain,
( ~ spl0_92
| spl0_94
| ~ spl0_40
| spl0_34 ),
inference(split_clause,[status(thm)],[f234,f815,f832,f575,f555]) ).
fof(f839,plain,
( ~ spl0_92
| spl0_94
| ~ spl0_60
| spl0_51 ),
inference(split_clause,[status(thm)],[f235,f815,f832,f640,f610]) ).
fof(f840,plain,
( spl0_95
<=> pd0_7 ),
introduced(split_symbol_definition) ).
fof(f843,plain,
( ~ spl0_93
| spl0_95
| spl0_51 ),
inference(split_clause,[status(thm)],[f239,f823,f840,f610]) ).
fof(f844,plain,
( ~ spl0_93
| spl0_95
| spl0_15 ),
inference(split_clause,[status(thm)],[f240,f823,f840,f493]) ).
fof(f845,plain,
( ~ spl0_93
| spl0_95
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f241,f823,f840,f445]) ).
fof(f846,plain,
( ~ spl0_93
| spl0_95
| ~ spl0_4
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f242,f823,f840,f458,f448]) ).
fof(f847,plain,
( ~ spl0_93
| spl0_95
| ~ spl0_8
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f243,f823,f840,f471,f451]) ).
fof(f849,plain,
( spl0_96
<=> pd0_8 ),
introduced(split_symbol_definition) ).
fof(f852,plain,
( ~ spl0_94
| spl0_96
| spl0_43 ),
inference(split_clause,[status(thm)],[f248,f832,f849,f584]) ).
fof(f853,plain,
( ~ spl0_94
| spl0_96
| ~ spl0_3
| spl0_12 ),
inference(split_clause,[status(thm)],[f249,f832,f849,f454,f484]) ).
fof(f854,plain,
( ~ spl0_94
| spl0_96
| ~ spl0_23
| spl0_29 ),
inference(split_clause,[status(thm)],[f250,f832,f849,f519,f539]) ).
fof(f855,plain,
( ~ spl0_94
| spl0_96
| ~ spl0_43
| spl0_46 ),
inference(split_clause,[status(thm)],[f251,f832,f849,f584,f594]) ).
fof(f857,plain,
( spl0_97
<=> pd0_9 ),
introduced(split_symbol_definition) ).
fof(f860,plain,
( ~ spl0_95
| spl0_97
| spl0_46 ),
inference(split_clause,[status(thm)],[f256,f840,f857,f594]) ).
fof(f861,plain,
( ~ spl0_95
| spl0_97
| spl0_58 ),
inference(split_clause,[status(thm)],[f257,f840,f857,f633]) ).
fof(f862,plain,
( ~ spl0_95
| spl0_97
| ~ spl0_51
| ~ spl0_60 ),
inference(split_clause,[status(thm)],[f258,f840,f857,f610,f640]) ).
fof(f863,plain,
( ~ spl0_95
| spl0_97
| ~ spl0_55
| ~ spl0_61 ),
inference(split_clause,[status(thm)],[f259,f840,f857,f623,f643]) ).
fof(f864,plain,
( ~ spl0_95
| spl0_97
| ~ spl0_59
| ~ spl0_62 ),
inference(split_clause,[status(thm)],[f260,f840,f857,f636,f646]) ).
fof(f865,plain,
( ~ spl0_95
| spl0_97
| ~ spl0_63 ),
inference(split_clause,[status(thm)],[f261,f840,f857,f649]) ).
fof(f866,plain,
( spl0_98
<=> pd0_10 ),
introduced(split_symbol_definition) ).
fof(f869,plain,
( ~ spl0_96
| spl0_98
| spl0_42 ),
inference(split_clause,[status(thm)],[f265,f849,f866,f581]) ).
fof(f870,plain,
( ~ spl0_96
| spl0_98
| ~ spl0_2
| spl0_8 ),
inference(split_clause,[status(thm)],[f266,f849,f866,f451,f471]) ).
fof(f871,plain,
( ~ spl0_96
| spl0_98
| ~ spl0_22
| spl0_25 ),
inference(split_clause,[status(thm)],[f267,f849,f866,f516,f526]) ).
fof(f873,plain,
( ~ spl0_96
| spl0_98
| ~ spl0_62
| spl0_59 ),
inference(split_clause,[status(thm)],[f269,f849,f866,f646,f636]) ).
fof(f874,plain,
( spl0_99
<=> pd0_11 ),
introduced(split_symbol_definition) ).
fof(f877,plain,
( ~ spl0_97
| spl0_99
| spl0_42 ),
inference(split_clause,[status(thm)],[f273,f857,f874,f581]) ).
fof(f880,plain,
( ~ spl0_97
| spl0_99
| ~ spl0_38
| ~ spl0_41 ),
inference(split_clause,[status(thm)],[f276,f857,f874,f568,f578]) ).
fof(f881,plain,
( ~ spl0_97
| spl0_99
| ~ spl0_42 ),
inference(split_clause,[status(thm)],[f277,f857,f874,f581]) ).
fof(f883,plain,
( spl0_100
<=> pd0_12 ),
introduced(split_symbol_definition) ).
fof(f886,plain,
( ~ spl0_98
| spl0_100
| spl0_41 ),
inference(split_clause,[status(thm)],[f282,f866,f883,f578]) ).
fof(f887,plain,
( ~ spl0_98
| spl0_100
| ~ spl0_1
| spl0_4 ),
inference(split_clause,[status(thm)],[f283,f866,f883,f448,f458]) ).
fof(f889,plain,
( ~ spl0_98
| spl0_100
| ~ spl0_41
| spl0_38 ),
inference(split_clause,[status(thm)],[f285,f866,f883,f578,f568]) ).
fof(f890,plain,
( ~ spl0_98
| spl0_100
| ~ spl0_61
| spl0_55 ),
inference(split_clause,[status(thm)],[f286,f866,f883,f643,f623]) ).
fof(f891,plain,
( spl0_101
<=> pd0_13 ),
introduced(split_symbol_definition) ).
fof(f894,plain,
( ~ spl0_99
| spl0_101
| spl0_38 ),
inference(split_clause,[status(thm)],[f290,f874,f891,f568]) ).
fof(f895,plain,
( ~ spl0_99
| spl0_101
| spl0_26 ),
inference(split_clause,[status(thm)],[f291,f874,f891,f529]) ).
fof(f896,plain,
( ~ spl0_99
| spl0_101
| ~ spl0_17
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f292,f874,f891,f500,f510]) ).
fof(f897,plain,
( ~ spl0_99
| spl0_101
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f293,f874,f891,f513]) ).
fof(f898,plain,
( ~ spl0_99
| spl0_101
| ~ spl0_25
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f294,f874,f891,f526,f516]) ).
fof(f899,plain,
( ~ spl0_99
| spl0_101
| ~ spl0_29
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f295,f874,f891,f539,f519]) ).
fof(f900,plain,
( spl0_102
<=> pd0_14 ),
introduced(split_symbol_definition) ).
fof(f903,plain,
( ~ spl0_100
| spl0_102
| spl0_40 ),
inference(split_clause,[status(thm)],[f299,f883,f900,f575]) ).
fof(f905,plain,
( ~ spl0_100
| spl0_102
| ~ spl0_20
| spl0_17 ),
inference(split_clause,[status(thm)],[f301,f883,f900,f510,f500]) ).
fof(f906,plain,
( ~ spl0_100
| spl0_102
| ~ spl0_40
| spl0_34 ),
inference(split_clause,[status(thm)],[f302,f883,f900,f575,f555]) ).
fof(f907,plain,
( ~ spl0_100
| spl0_102
| ~ spl0_60
| spl0_51 ),
inference(split_clause,[status(thm)],[f303,f883,f900,f640,f610]) ).
fof(f908,plain,
( spl0_103
<=> pd0_15 ),
introduced(split_symbol_definition) ).
fof(f911,plain,
( ~ spl0_101
| spl0_103
| spl0_34 ),
inference(split_clause,[status(thm)],[f307,f891,f908,f555]) ).
fof(f912,plain,
( ~ spl0_101
| spl0_103
| spl0_10 ),
inference(split_clause,[status(thm)],[f308,f891,f908,f477]) ).
fof(f913,plain,
( ~ spl0_101
| spl0_103
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f309,f891,f908,f445]) ).
fof(f914,plain,
( ~ spl0_101
| spl0_103
| ~ spl0_4
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f310,f891,f908,f458,f448]) ).
fof(f915,plain,
( ~ spl0_101
| spl0_103
| ~ spl0_8
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f311,f891,f908,f471,f451]) ).
fof(f916,plain,
( ~ spl0_101
| spl0_103
| ~ spl0_12
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f312,f891,f908,f484,f454]) ).
fof(f917,plain,
( spl0_104
<=> pd0_16 ),
introduced(split_symbol_definition) ).
fof(f920,plain,
( ~ spl0_102
| spl0_104
| spl0_23 ),
inference(split_clause,[status(thm)],[f316,f900,f917,f519]) ).
fof(f921,plain,
( ~ spl0_102
| spl0_104
| ~ spl0_3
| spl0_12 ),
inference(split_clause,[status(thm)],[f317,f900,f917,f454,f484]) ).
fof(f922,plain,
( ~ spl0_102
| spl0_104
| ~ spl0_23
| spl0_29 ),
inference(split_clause,[status(thm)],[f318,f900,f917,f519,f539]) ).
fof(f923,plain,
( ~ spl0_102
| spl0_104
| ~ spl0_43
| spl0_46 ),
inference(split_clause,[status(thm)],[f319,f900,f917,f584,f594]) ).
fof(f925,plain,
( spl0_105
<=> pd0_17 ),
introduced(split_symbol_definition) ).
fof(f928,plain,
( ~ spl0_103
| spl0_105
| spl0_29 ),
inference(split_clause,[status(thm)],[f324,f908,f925,f539]) ).
fof(f929,plain,
( ~ spl0_103
| spl0_105
| spl0_53 ),
inference(split_clause,[status(thm)],[f325,f908,f925,f617]) ).
fof(f930,plain,
( ~ spl0_103
| spl0_105
| ~ spl0_51
| ~ spl0_60 ),
inference(split_clause,[status(thm)],[f326,f908,f925,f610,f640]) ).
fof(f931,plain,
( ~ spl0_103
| spl0_105
| ~ spl0_55
| ~ spl0_61 ),
inference(split_clause,[status(thm)],[f327,f908,f925,f623,f643]) ).
fof(f932,plain,
( ~ spl0_103
| spl0_105
| ~ spl0_59
| ~ spl0_62 ),
inference(split_clause,[status(thm)],[f328,f908,f925,f636,f646]) ).
fof(f933,plain,
( ~ spl0_103
| spl0_105
| ~ spl0_63 ),
inference(split_clause,[status(thm)],[f329,f908,f925,f649]) ).
fof(f934,plain,
( spl0_106
<=> pd0_18 ),
introduced(split_symbol_definition) ).
fof(f937,plain,
( ~ spl0_104
| spl0_106
| spl0_22 ),
inference(split_clause,[status(thm)],[f333,f917,f934,f516]) ).
fof(f938,plain,
( ~ spl0_104
| spl0_106
| ~ spl0_2
| spl0_8 ),
inference(split_clause,[status(thm)],[f334,f917,f934,f451,f471]) ).
fof(f939,plain,
( ~ spl0_104
| spl0_106
| ~ spl0_22
| spl0_25 ),
inference(split_clause,[status(thm)],[f335,f917,f934,f516,f526]) ).
fof(f941,plain,
( ~ spl0_104
| spl0_106
| ~ spl0_62
| spl0_59 ),
inference(split_clause,[status(thm)],[f337,f917,f934,f646,f636]) ).
fof(f942,plain,
( spl0_107
<=> pd0_19 ),
introduced(split_symbol_definition) ).
fof(f945,plain,
( ~ spl0_105
| spl0_107
| spl0_25 ),
inference(split_clause,[status(thm)],[f341,f925,f942,f526]) ).
fof(f946,plain,
( ~ spl0_105
| spl0_107
| spl0_37 ),
inference(split_clause,[status(thm)],[f342,f925,f942,f565]) ).
fof(f947,plain,
( ~ spl0_105
| spl0_107
| ~ spl0_34
| ~ spl0_40 ),
inference(split_clause,[status(thm)],[f343,f925,f942,f555,f575]) ).
fof(f949,plain,
( ~ spl0_105
| spl0_107
| ~ spl0_42 ),
inference(split_clause,[status(thm)],[f345,f925,f942,f581]) ).
fof(f950,plain,
( ~ spl0_105
| spl0_107
| ~ spl0_46
| ~ spl0_43 ),
inference(split_clause,[status(thm)],[f346,f925,f942,f594,f584]) ).
fof(f951,plain,
( spl0_108
<=> pd0_20 ),
introduced(split_symbol_definition) ).
fof(f954,plain,
( ~ spl0_106
| spl0_108
| spl0_21 ),
inference(split_clause,[status(thm)],[f350,f934,f951,f513]) ).
fof(f955,plain,
( ~ spl0_106
| spl0_108
| ~ spl0_1
| spl0_4 ),
inference(split_clause,[status(thm)],[f351,f934,f951,f448,f458]) ).
fof(f957,plain,
( ~ spl0_106
| spl0_108
| ~ spl0_41
| spl0_38 ),
inference(split_clause,[status(thm)],[f353,f934,f951,f578,f568]) ).
fof(f958,plain,
( ~ spl0_106
| spl0_108
| ~ spl0_61
| spl0_55 ),
inference(split_clause,[status(thm)],[f354,f934,f951,f643,f623]) ).
fof(f959,plain,
( spl0_109
<=> pd0_21 ),
introduced(split_symbol_definition) ).
fof(f962,plain,
( ~ spl0_107
| spl0_109
| spl0_21 ),
inference(split_clause,[status(thm)],[f358,f942,f959,f513]) ).
fof(f964,plain,
( ~ spl0_107
| spl0_109
| ~ spl0_17
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f360,f942,f959,f500,f510]) ).
fof(f965,plain,
( ~ spl0_107
| spl0_109
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f361,f942,f959,f513]) ).
fof(f966,plain,
( ~ spl0_107
| spl0_109
| ~ spl0_25
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f362,f942,f959,f526,f516]) ).
fof(f967,plain,
( ~ spl0_107
| spl0_109
| ~ spl0_29
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f363,f942,f959,f539,f519]) ).
fof(f968,plain,
( spl0_110
<=> pd0_22 ),
introduced(split_symbol_definition) ).
fof(f971,plain,
( ~ spl0_108
| spl0_110
| spl0_20 ),
inference(split_clause,[status(thm)],[f367,f951,f968,f510]) ).
fof(f973,plain,
( ~ spl0_108
| spl0_110
| ~ spl0_20
| spl0_17 ),
inference(split_clause,[status(thm)],[f369,f951,f968,f510,f500]) ).
fof(f974,plain,
( ~ spl0_108
| spl0_110
| ~ spl0_40
| spl0_34 ),
inference(split_clause,[status(thm)],[f370,f951,f968,f575,f555]) ).
fof(f975,plain,
( ~ spl0_108
| spl0_110
| ~ spl0_60
| spl0_51 ),
inference(split_clause,[status(thm)],[f371,f951,f968,f640,f610]) ).
fof(f976,plain,
( spl0_111
<=> pd0_23 ),
introduced(split_symbol_definition) ).
fof(f979,plain,
( ~ spl0_109
| spl0_111
| spl0_17 ),
inference(split_clause,[status(thm)],[f375,f959,f976,f500]) ).
fof(f980,plain,
( ~ spl0_109
| spl0_111
| spl0_5 ),
inference(split_clause,[status(thm)],[f376,f959,f976,f461]) ).
fof(f981,plain,
( ~ spl0_109
| spl0_111
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f377,f959,f976,f445]) ).
fof(f983,plain,
( ~ spl0_109
| spl0_111
| ~ spl0_8
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f379,f959,f976,f471,f451]) ).
fof(f984,plain,
( ~ spl0_109
| spl0_111
| ~ spl0_12
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f380,f959,f976,f484,f454]) ).
fof(f985,plain,
( spl0_112
<=> pd0_24 ),
introduced(split_symbol_definition) ).
fof(f988,plain,
( ~ spl0_110
| spl0_112
| spl0_3 ),
inference(split_clause,[status(thm)],[f384,f968,f985,f454]) ).
fof(f989,plain,
( ~ spl0_110
| spl0_112
| ~ spl0_3
| spl0_12 ),
inference(split_clause,[status(thm)],[f385,f968,f985,f454,f484]) ).
fof(f990,plain,
( ~ spl0_110
| spl0_112
| ~ spl0_23
| spl0_29 ),
inference(split_clause,[status(thm)],[f386,f968,f985,f519,f539]) ).
fof(f991,plain,
( ~ spl0_110
| spl0_112
| ~ spl0_43
| spl0_46 ),
inference(split_clause,[status(thm)],[f387,f968,f985,f584,f594]) ).
fof(f993,plain,
( spl0_113
<=> pd0_25 ),
introduced(split_symbol_definition) ).
fof(f996,plain,
( ~ spl0_111
| spl0_113
| spl0_12 ),
inference(split_clause,[status(thm)],[f392,f976,f993,f484]) ).
fof(f997,plain,
( ~ spl0_111
| spl0_113
| spl0_48 ),
inference(split_clause,[status(thm)],[f393,f976,f993,f601]) ).
fof(f999,plain,
( ~ spl0_111
| spl0_113
| ~ spl0_55
| ~ spl0_61 ),
inference(split_clause,[status(thm)],[f395,f976,f993,f623,f643]) ).
fof(f1000,plain,
( ~ spl0_111
| spl0_113
| ~ spl0_59
| ~ spl0_62 ),
inference(split_clause,[status(thm)],[f396,f976,f993,f636,f646]) ).
fof(f1001,plain,
( ~ spl0_111
| spl0_113
| ~ spl0_63 ),
inference(split_clause,[status(thm)],[f397,f976,f993,f649]) ).
fof(f1002,plain,
( spl0_114
<=> pd0_26 ),
introduced(split_symbol_definition) ).
fof(f1005,plain,
( ~ spl0_112
| spl0_114
| spl0_2 ),
inference(split_clause,[status(thm)],[f401,f985,f1002,f451]) ).
fof(f1006,plain,
( ~ spl0_112
| spl0_114
| ~ spl0_2
| spl0_8 ),
inference(split_clause,[status(thm)],[f402,f985,f1002,f451,f471]) ).
fof(f1007,plain,
( ~ spl0_112
| spl0_114
| ~ spl0_22
| spl0_25 ),
inference(split_clause,[status(thm)],[f403,f985,f1002,f516,f526]) ).
fof(f1009,plain,
( ~ spl0_112
| spl0_114
| ~ spl0_62
| spl0_59 ),
inference(split_clause,[status(thm)],[f405,f985,f1002,f646,f636]) ).
fof(f1010,plain,
( spl0_115
<=> pd0_27 ),
introduced(split_symbol_definition) ).
fof(f1013,plain,
( ~ spl0_113
| spl0_115
| spl0_8 ),
inference(split_clause,[status(thm)],[f409,f993,f1010,f471]) ).
fof(f1014,plain,
( ~ spl0_113
| spl0_115
| spl0_32 ),
inference(split_clause,[status(thm)],[f410,f993,f1010,f549]) ).
fof(f1016,plain,
( ~ spl0_113
| spl0_115
| ~ spl0_38
| ~ spl0_41 ),
inference(split_clause,[status(thm)],[f412,f993,f1010,f568,f578]) ).
fof(f1017,plain,
( ~ spl0_113
| spl0_115
| ~ spl0_42 ),
inference(split_clause,[status(thm)],[f413,f993,f1010,f581]) ).
fof(f1018,plain,
( ~ spl0_113
| spl0_115
| ~ spl0_46
| ~ spl0_43 ),
inference(split_clause,[status(thm)],[f414,f993,f1010,f594,f584]) ).
fof(f1019,plain,
( spl0_116
<=> pd0_28 ),
introduced(split_symbol_definition) ).
fof(f1022,plain,
( ~ spl0_114
| spl0_116
| spl0_1 ),
inference(split_clause,[status(thm)],[f418,f1002,f1019,f448]) ).
fof(f1023,plain,
( ~ spl0_114
| spl0_116
| ~ spl0_1
| spl0_4 ),
inference(split_clause,[status(thm)],[f419,f1002,f1019,f448,f458]) ).
fof(f1025,plain,
( ~ spl0_114
| spl0_116
| ~ spl0_41
| spl0_38 ),
inference(split_clause,[status(thm)],[f421,f1002,f1019,f578,f568]) ).
fof(f1026,plain,
( ~ spl0_114
| spl0_116
| ~ spl0_61
| spl0_55 ),
inference(split_clause,[status(thm)],[f422,f1002,f1019,f643,f623]) ).
fof(f1027,plain,
( spl0_117
<=> pd0_29 ),
introduced(split_symbol_definition) ).
fof(f1030,plain,
( ~ spl0_115
| spl0_117
| spl0_4 ),
inference(split_clause,[status(thm)],[f426,f1010,f1027,f458]) ).
fof(f1031,plain,
( ~ spl0_115
| spl0_117
| spl0_16 ),
inference(split_clause,[status(thm)],[f427,f1010,f1027,f497]) ).
fof(f1032,plain,
( ~ spl0_115
| spl0_117
| ~ spl0_17
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f428,f1010,f1027,f500,f510]) ).
fof(f1033,plain,
( ~ spl0_115
| spl0_117
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f429,f1010,f1027,f513]) ).
fof(f1034,plain,
( ~ spl0_115
| spl0_117
| ~ spl0_25
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f430,f1010,f1027,f526,f516]) ).
fof(f1035,plain,
( ~ spl0_115
| spl0_117
| ~ spl0_29
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f431,f1010,f1027,f539,f519]) ).
fof(f1036,plain,
( ~ spl0_116
| spl0_0 ),
inference(split_clause,[status(thm)],[f433,f1019,f445]) ).
fof(f1038,plain,
( ~ spl0_116
| ~ spl0_20
| spl0_17 ),
inference(split_clause,[status(thm)],[f435,f1019,f510,f500]) ).
fof(f1039,plain,
( ~ spl0_116
| ~ spl0_40
| spl0_34 ),
inference(split_clause,[status(thm)],[f436,f1019,f575,f555]) ).
fof(f1040,plain,
( ~ spl0_116
| ~ spl0_60
| spl0_51 ),
inference(split_clause,[status(thm)],[f437,f1019,f640,f610]) ).
fof(f1041,plain,
( ~ spl0_117
| spl0_0 ),
inference(split_clause,[status(thm)],[f439,f1027,f445]) ).
fof(f1043,plain,
( ~ spl0_117
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f441,f1027,f445]) ).
fof(f1044,plain,
( ~ spl0_117
| ~ spl0_4
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f442,f1027,f458,f448]) ).
fof(f1045,plain,
( ~ spl0_117
| ~ spl0_8
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f443,f1027,f471,f451]) ).
fof(f1046,plain,
( ~ spl0_117
| ~ spl0_12
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f444,f1027,f484,f454]) ).
fof(f1047,plain,
( e1 = e3
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f462,f468]) ).
fof(f1048,plain,
( $false
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f1047,f130]) ).
fof(f1049,plain,
( ~ spl0_5
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f1048]) ).
fof(f1050,plain,
( e3 = e2
| ~ spl0_31
| ~ spl0_30 ),
inference(forward_demodulation,[status(thm)],[f546,f543]) ).
fof(f1051,plain,
( $false
| ~ spl0_31
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[status(thm)],[f1050,f131]) ).
fof(f1052,plain,
( ~ spl0_31
| ~ spl0_30 ),
inference(contradiction_clause,[status(thm)],[f1051]) ).
fof(f1053,plain,
( e3 = e2
| ~ spl0_15
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f494,f491]) ).
fof(f1054,plain,
( $false
| ~ spl0_15
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[status(thm)],[f1053,f131]) ).
fof(f1055,plain,
( ~ spl0_15
| ~ spl0_14 ),
inference(contradiction_clause,[status(thm)],[f1054]) ).
fof(f1056,plain,
( e1 = e2
| ~ spl0_53
| ~ spl0_54 ),
inference(forward_demodulation,[status(thm)],[f618,f621]) ).
fof(f1057,plain,
( $false
| ~ spl0_53
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[status(thm)],[f1056,f129]) ).
fof(f1058,plain,
( ~ spl0_53
| ~ spl0_54 ),
inference(contradiction_clause,[status(thm)],[f1057]) ).
fof(f1059,plain,
( e0 = e2
| ~ spl0_48
| ~ spl0_50 ),
inference(forward_demodulation,[status(thm)],[f602,f608]) ).
fof(f1060,plain,
( $false
| ~ spl0_48
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[status(thm)],[f1059,f127]) ).
fof(f1061,plain,
( ~ spl0_48
| ~ spl0_50 ),
inference(contradiction_clause,[status(thm)],[f1060]) ).
fof(f1062,plain,
( e3 = e1
| ~ spl0_47
| ~ spl0_45 ),
inference(forward_demodulation,[status(thm)],[f598,f592]) ).
fof(f1063,plain,
( $false
| ~ spl0_47
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[status(thm)],[f1062,f130]) ).
fof(f1064,plain,
( ~ spl0_47
| ~ spl0_45 ),
inference(contradiction_clause,[status(thm)],[f1063]) ).
fof(f1065,plain,
( e2 = e1
| ~ spl0_58
| ~ spl0_57 ),
inference(forward_demodulation,[status(thm)],[f634,f631]) ).
fof(f1066,plain,
( $false
| ~ spl0_58
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[status(thm)],[f1065,f129]) ).
fof(f1067,plain,
( ~ spl0_58
| ~ spl0_57 ),
inference(contradiction_clause,[status(thm)],[f1066]) ).
fof(f1070,plain,
( e0 != op(e2,e1)
| ~ spl0_32 ),
inference(backward_demodulation,[status(thm)],[f550,f114]) ).
fof(f1073,plain,
( op(e0,e0) != e0
| ~ spl0_32 ),
inference(backward_demodulation,[status(thm)],[f550,f79]) ).
fof(f1077,plain,
( e2 != op(e3,e2)
| ~ spl0_10 ),
inference(backward_demodulation,[status(thm)],[f478,f92]) ).
fof(f1079,plain,
( e2 != op(e1,e2)
| ~ spl0_10 ),
inference(backward_demodulation,[status(thm)],[f478,f90]) ).
fof(f1080,plain,
( e2 != e2
| ~ spl0_26
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f530,f1079]) ).
fof(f1081,plain,
( $false
| ~ spl0_26
| ~ spl0_10 ),
inference(trivial_equality_resolution,[status(esa)],[f1080]) ).
fof(f1082,plain,
( ~ spl0_26
| ~ spl0_10 ),
inference(contradiction_clause,[status(thm)],[f1081]) ).
fof(f1083,plain,
( e1 != op(e2,e3)
| ~ spl0_37 ),
inference(backward_demodulation,[status(thm)],[f566,f118]) ).
fof(f1084,plain,
( e1 != op(e2,e2)
| ~ spl0_37 ),
inference(backward_demodulation,[status(thm)],[f566,f117]) ).
fof(f1085,plain,
( ~ spl0_41
| ~ spl0_37 ),
inference(split_clause,[status(thm)],[f1084,f578,f565]) ).
fof(f1086,plain,
( op(e1,e1) != e1
| ~ spl0_37 ),
inference(backward_demodulation,[status(thm)],[f566,f87]) ).
fof(f1089,plain,
( e2 = e1
| ~ spl0_10
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f478,f475]) ).
fof(f1090,plain,
( $false
| ~ spl0_10
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f1089,f129]) ).
fof(f1091,plain,
( ~ spl0_10
| ~ spl0_9 ),
inference(contradiction_clause,[status(thm)],[f1090]) ).
fof(f1093,plain,
( op(e3,e1) != e0
| ~ spl0_60 ),
inference(forward_demodulation,[status(thm)],[f641,f124]) ).
fof(f1096,plain,
( e0 = e2
| ~ spl0_32
| ~ spl0_34 ),
inference(forward_demodulation,[status(thm)],[f550,f556]) ).
fof(f1097,plain,
( $false
| ~ spl0_32
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[status(thm)],[f1096,f127]) ).
fof(f1098,plain,
( ~ spl0_32
| ~ spl0_34 ),
inference(contradiction_clause,[status(thm)],[f1097]) ).
fof(f1099,plain,
( e3 != op(e3,e3)
| ~ spl0_59 ),
inference(forward_demodulation,[status(thm)],[f637,f125]) ).
fof(f1101,plain,
( op(e2,e2) != e3
| ~ spl0_59 ),
inference(forward_demodulation,[status(thm)],[f637,f95]) ).
fof(f1105,plain,
( e1 != op(e3,e0)
| ~ spl0_60
| spl0_72 ),
inference(forward_demodulation,[status(thm)],[f641,f725]) ).
fof(f1107,plain,
( e2 != op(e3,e0)
| ~ spl0_60
| spl0_69 ),
inference(forward_demodulation,[status(thm)],[f641,f714]) ).
fof(f1109,plain,
( e0 != op(e1,e2)
| ~ spl0_16 ),
inference(backward_demodulation,[status(thm)],[f498,f109]) ).
fof(f1110,plain,
( e0 != op(e1,e1)
| ~ spl0_16 ),
inference(backward_demodulation,[status(thm)],[f498,f108]) ).
fof(f1111,plain,
( ~ spl0_20
| ~ spl0_16 ),
inference(split_clause,[status(thm)],[f1110,f510,f497]) ).
fof(f1116,plain,
( e1 = e0
| ~ spl0_17
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f501,f498]) ).
fof(f1117,plain,
( $false
| ~ spl0_17
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[status(thm)],[f1116,f126]) ).
fof(f1118,plain,
( ~ spl0_17
| ~ spl0_16 ),
inference(contradiction_clause,[status(thm)],[f1117]) ).
fof(f1119,plain,
( $false
| ~ spl0_16
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[status(thm)],[f524,f1109]) ).
fof(f1120,plain,
( ~ spl0_16
| ~ spl0_24 ),
inference(contradiction_clause,[status(thm)],[f1119]) ).
fof(f1121,plain,
( e1 != op(e1,e3)
| ~ spl0_25 ),
inference(forward_demodulation,[status(thm)],[f527,f113]) ).
fof(f1123,plain,
( e1 != op(e2,e2)
| ~ spl0_25 ),
inference(forward_demodulation,[status(thm)],[f527,f93]) ).
fof(f1124,plain,
( e1 != op(op(e3,e3),e0)
| ~ spl0_60
| spl0_76 ),
inference(backward_demodulation,[status(thm)],[f641,f741]) ).
fof(f1125,plain,
( e1 != op(e0,e0)
| ~ spl0_60
| spl0_76 ),
inference(forward_demodulation,[status(thm)],[f641,f1124]) ).
fof(f1127,plain,
( e2 != op(op(e3,e3),e0)
| ~ spl0_60
| spl0_83 ),
inference(backward_demodulation,[status(thm)],[f641,f768]) ).
fof(f1128,plain,
( e2 != op(e0,e0)
| ~ spl0_60
| spl0_83 ),
inference(forward_demodulation,[status(thm)],[f641,f1127]) ).
fof(f1129,plain,
( e2 != e2
| ~ spl0_2
| ~ spl0_60
| spl0_83 ),
inference(forward_demodulation,[status(thm)],[f452,f1128]) ).
fof(f1130,plain,
( $false
| ~ spl0_2
| ~ spl0_60
| spl0_83 ),
inference(trivial_equality_resolution,[status(esa)],[f1129]) ).
fof(f1131,plain,
( ~ spl0_2
| ~ spl0_60
| spl0_83 ),
inference(contradiction_clause,[status(thm)],[f1130]) ).
fof(f1133,plain,
( e3 != op(e0,e3)
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f481,f107]) ).
fof(f1136,plain,
( e2 != op(e0,e2)
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f452,f103]) ).
fof(f1138,plain,
( e3 != op(e3,e2)
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f481,f92]) ).
fof(f1139,plain,
( e3 != op(e2,e2)
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f481,f91]) ).
fof(f1144,plain,
( op(e0,e0) != e2
| ~ spl0_6 ),
inference(backward_demodulation,[status(thm)],[f465,f102]) ).
fof(f1145,plain,
( ~ spl0_2
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f1144,f451,f464]) ).
fof(f1147,plain,
( e2 != op(e2,e0)
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f504,f81]) ).
fof(f1153,plain,
( e2 != op(e2,e0)
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f452,f79]) ).
fof(f1156,plain,
( e0 = e1
| ~ spl0_36
| ~ spl0_37 ),
inference(forward_demodulation,[status(thm)],[f563,f566]) ).
fof(f1157,plain,
( $false
| ~ spl0_36
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[status(thm)],[f1156,f126]) ).
fof(f1158,plain,
( ~ spl0_36
| ~ spl0_37 ),
inference(contradiction_clause,[status(thm)],[f1157]) ).
fof(f1160,plain,
( $false
| ~ spl0_25
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[status(thm)],[f540,f1121]) ).
fof(f1161,plain,
( ~ spl0_25
| ~ spl0_29 ),
inference(contradiction_clause,[status(thm)],[f1160]) ).
fof(f1163,plain,
( e2 = e0
| ~ spl0_6
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f465,f459]) ).
fof(f1164,plain,
( $false
| ~ spl0_6
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f1163,f127]) ).
fof(f1165,plain,
( ~ spl0_6
| ~ spl0_4 ),
inference(contradiction_clause,[status(thm)],[f1164]) ).
fof(f1170,plain,
( e2 = e3
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f504,f507]) ).
fof(f1171,plain,
( $false
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[status(thm)],[f1170,f131]) ).
fof(f1172,plain,
( ~ spl0_18
| ~ spl0_19 ),
inference(contradiction_clause,[status(thm)],[f1171]) ).
fof(f1173,plain,
( e3 = e1
| ~ spl0_35
| ~ spl0_33 ),
inference(forward_demodulation,[status(thm)],[f559,f553]) ).
fof(f1174,plain,
( $false
| ~ spl0_35
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[status(thm)],[f1173,f130]) ).
fof(f1175,plain,
( ~ spl0_35
| ~ spl0_33 ),
inference(contradiction_clause,[status(thm)],[f1174]) ).
fof(f1176,plain,
( ~ spl0_63
| ~ spl0_59 ),
inference(split_clause,[status(thm)],[f1099,f649,f636]) ).
fof(f1177,plain,
( e1 != op(e3,e3)
| ~ spl0_49 ),
inference(forward_demodulation,[status(thm)],[f605,f122]) ).
fof(f1178,plain,
( e3 != op(e3,e3)
| ~ spl0_55 ),
inference(forward_demodulation,[status(thm)],[f624,f124]) ).
fof(f1179,plain,
( op(e3,e1) != e3
| ~ spl0_59 ),
inference(backward_demodulation,[status(thm)],[f637,f123]) ).
fof(f1180,plain,
( ~ spl0_55
| ~ spl0_59 ),
inference(split_clause,[status(thm)],[f1179,f623,f636]) ).
fof(f1181,plain,
( $false
| ~ spl0_11
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[status(thm)],[f637,f1138]) ).
fof(f1182,plain,
( ~ spl0_11
| ~ spl0_59 ),
inference(contradiction_clause,[status(thm)],[f1181]) ).
fof(f1183,plain,
( ~ spl0_43
| ~ spl0_59 ),
inference(split_clause,[status(thm)],[f1101,f584,f636]) ).
fof(f1185,plain,
( e1 != op(e0,e2)
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f449,f103]) ).
fof(f1187,plain,
( e1 != op(e0,e3)
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f449,f104]) ).
fof(f1188,plain,
( e2 != op(e1,op(e0,e0))
| ~ spl0_1
| spl0_84 ),
inference(forward_demodulation,[status(thm)],[f449,f772]) ).
fof(f1189,plain,
( e2 != op(e1,e1)
| ~ spl0_1
| spl0_84 ),
inference(forward_demodulation,[status(thm)],[f449,f1188]) ).
fof(f1190,plain,
( e3 != op(e1,op(e0,e0))
| ~ spl0_1
| spl0_89 ),
inference(forward_demodulation,[status(thm)],[f449,f793]) ).
fof(f1191,plain,
( e3 != op(e1,e1)
| ~ spl0_1
| spl0_89 ),
inference(forward_demodulation,[status(thm)],[f449,f1190]) ).
fof(f1196,plain,
( op(e2,e2) != e3
| ~ spl0_47 ),
inference(backward_demodulation,[status(thm)],[f598,f119]) ).
fof(f1197,plain,
( ~ spl0_43
| ~ spl0_47 ),
inference(split_clause,[status(thm)],[f1196,f584,f597]) ).
fof(f1202,plain,
( $false
| ~ spl0_1
| spl0_84
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[status(thm)],[f517,f1189]) ).
fof(f1203,plain,
( ~ spl0_1
| spl0_84
| ~ spl0_22 ),
inference(contradiction_clause,[status(thm)],[f1202]) ).
fof(f1205,plain,
( e1 = e3
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f449,f455]) ).
fof(f1206,plain,
( $false
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f1205,f130]) ).
fof(f1207,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(contradiction_clause,[status(thm)],[f1206]) ).
fof(f1217,plain,
( e2 = e0
| ~ spl0_62
| ~ spl0_60 ),
inference(forward_demodulation,[status(thm)],[f647,f641]) ).
fof(f1218,plain,
( $false
| ~ spl0_62
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[status(thm)],[f1217,f127]) ).
fof(f1219,plain,
( ~ spl0_62
| ~ spl0_60 ),
inference(contradiction_clause,[status(thm)],[f1218]) ).
fof(f1220,plain,
( op(e0,e0) != e3
| ~ spl0_51 ),
inference(backward_demodulation,[status(thm)],[f611,f80]) ).
fof(f1221,plain,
( ~ spl0_3
| ~ spl0_51 ),
inference(split_clause,[status(thm)],[f1220,f454,f610]) ).
fof(f1222,plain,
( e3 != op(e3,e1)
| ~ spl0_51 ),
inference(backward_demodulation,[status(thm)],[f611,f120]) ).
fof(f1223,plain,
( ~ spl0_55
| ~ spl0_51 ),
inference(split_clause,[status(thm)],[f1222,f623,f610]) ).
fof(f1224,plain,
( e3 != op(e3,e2)
| ~ spl0_51 ),
inference(backward_demodulation,[status(thm)],[f611,f121]) ).
fof(f1226,plain,
( e0 != op(e3,e2)
| ~ spl0_52 ),
inference(forward_demodulation,[status(thm)],[f615,f123]) ).
fof(f1230,plain,
( op(e0,e0) != e3
| ~ spl0_15 ),
inference(backward_demodulation,[status(thm)],[f494,f104]) ).
fof(f1231,plain,
( ~ spl0_3
| ~ spl0_15 ),
inference(split_clause,[status(thm)],[f1230,f454,f493]) ).
fof(f1232,plain,
( e3 != op(e3,e3)
| ~ spl0_15 ),
inference(backward_demodulation,[status(thm)],[f494,f98]) ).
fof(f1233,plain,
( ~ spl0_63
| ~ spl0_15 ),
inference(split_clause,[status(thm)],[f1232,f649,f493]) ).
fof(f1235,plain,
( e3 != op(e1,e3)
| ~ spl0_15 ),
inference(backward_demodulation,[status(thm)],[f494,f96]) ).
fof(f1236,plain,
( ~ spl0_31
| ~ spl0_15 ),
inference(split_clause,[status(thm)],[f1235,f545,f493]) ).
fof(f1238,plain,
( e0 != op(e0,e3)
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f472,f107]) ).
fof(f1241,plain,
( e0 = e2
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f472,f478]) ).
fof(f1242,plain,
( $false
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f1241,f127]) ).
fof(f1243,plain,
( ~ spl0_8
| ~ spl0_10 ),
inference(contradiction_clause,[status(thm)],[f1242]) ).
fof(f1244,plain,
( op(e0,e3) != e0
| ~ spl0_28 ),
inference(backward_demodulation,[status(thm)],[f537,f96]) ).
fof(f1245,plain,
( ~ spl0_12
| ~ spl0_28 ),
inference(split_clause,[status(thm)],[f1244,f484,f536]) ).
fof(f1246,plain,
( op(e1,e1) != e0
| ~ spl0_28 ),
inference(backward_demodulation,[status(thm)],[f537,f112]) ).
fof(f1247,plain,
( ~ spl0_20
| ~ spl0_28 ),
inference(split_clause,[status(thm)],[f1246,f510,f536]) ).
fof(f1248,plain,
( $false
| ~ spl0_52
| ~ spl0_56 ),
inference(forward_subsumption_resolution,[status(thm)],[f628,f1226]) ).
fof(f1249,plain,
( ~ spl0_52
| ~ spl0_56 ),
inference(contradiction_clause,[status(thm)],[f1248]) ).
fof(f1251,plain,
( op(e0,e0) != e1
| ~ spl0_49 ),
inference(backward_demodulation,[status(thm)],[f605,f80]) ).
fof(f1252,plain,
( op(e1,e1) != e3
| ~ spl0_55 ),
inference(backward_demodulation,[status(thm)],[f624,f88]) ).
fof(f1253,plain,
( ~ spl0_23
| ~ spl0_55 ),
inference(split_clause,[status(thm)],[f1252,f519,f623]) ).
fof(f1257,plain,
( op(e1,e1) != e3
| ~ spl0_31 ),
inference(backward_demodulation,[status(thm)],[f546,f112]) ).
fof(f1258,plain,
( ~ spl0_23
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f1257,f519,f545]) ).
fof(f1265,plain,
( op(e0,e0) != e0
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f485,f104]) ).
fof(f1272,plain,
( e0 = e1
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f485,f488]) ).
fof(f1273,plain,
( $false
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[status(thm)],[f1272,f126]) ).
fof(f1274,plain,
( ~ spl0_12
| ~ spl0_13 ),
inference(contradiction_clause,[status(thm)],[f1273]) ).
fof(f1275,plain,
( e2 != op(e0,e3)
| ~ spl0_2 ),
inference(backward_demodulation,[status(thm)],[f452,f104]) ).
fof(f1276,plain,
( ~ spl0_14
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f1275,f490,f451]) ).
fof(f1278,plain,
( e3 != op(op(e0,e0),e2)
| ~ spl0_2
| spl0_89 ),
inference(backward_demodulation,[status(thm)],[f452,f793]) ).
fof(f1279,plain,
( e1 != op(op(e0,e0),e2)
| ~ spl0_2
| spl0_77 ),
inference(backward_demodulation,[status(thm)],[f452,f745]) ).
fof(f1280,plain,
( ~ spl0_34
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f1153,f555,f451]) ).
fof(f1281,plain,
( ~ spl0_10
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f1136,f477,f451]) ).
fof(f1282,plain,
( e3 = e2
| ~ spl0_39
| ~ spl0_38 ),
inference(forward_demodulation,[status(thm)],[f572,f569]) ).
fof(f1283,plain,
( $false
| ~ spl0_39
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[status(thm)],[f1282,f131]) ).
fof(f1284,plain,
( ~ spl0_39
| ~ spl0_38 ),
inference(contradiction_clause,[status(thm)],[f1283]) ).
fof(f1288,plain,
( op(e1,e0) != e3
| ~ spl0_27 ),
inference(backward_demodulation,[status(thm)],[f533,f109]) ).
fof(f1290,plain,
( e3 != op(e2,e2)
| ~ spl0_27 ),
inference(backward_demodulation,[status(thm)],[f533,f93]) ).
fof(f1293,plain,
( op(e2,e2) != e2
| ~ spl0_58 ),
inference(backward_demodulation,[status(thm)],[f634,f95]) ).
fof(f1294,plain,
( ~ spl0_42
| ~ spl0_58 ),
inference(split_clause,[status(thm)],[f1293,f581,f633]) ).
fof(f1298,plain,
( e1 != op(e1,e2)
| ~ spl0_17 ),
inference(backward_demodulation,[status(thm)],[f501,f109]) ).
fof(f1300,plain,
( e1 != op(e1,e3)
| ~ spl0_17 ),
inference(backward_demodulation,[status(thm)],[f501,f110]) ).
fof(f1301,plain,
( e0 != op(e3,e3)
| ~ spl0_48 ),
inference(backward_demodulation,[status(thm)],[f602,f122]) ).
fof(f1302,plain,
( ~ spl0_60
| ~ spl0_48 ),
inference(split_clause,[status(thm)],[f1301,f640,f601]) ).
fof(f1309,plain,
( e3 = e0
| ~ spl0_27
| ~ spl0_24 ),
inference(forward_demodulation,[status(thm)],[f533,f524]) ).
fof(f1310,plain,
( $false
| ~ spl0_27
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[status(thm)],[f1309,f128]) ).
fof(f1311,plain,
( ~ spl0_27
| ~ spl0_24 ),
inference(contradiction_clause,[status(thm)],[f1310]) ).
fof(f1315,plain,
( e2 != op(e3,e3)
| ~ spl0_46 ),
inference(backward_demodulation,[status(thm)],[f595,f101]) ).
fof(f1316,plain,
( op(e2,e0) != e2
| ~ spl0_46 ),
inference(backward_demodulation,[status(thm)],[f595,f116]) ).
fof(f1317,plain,
( ~ spl0_34
| ~ spl0_46 ),
inference(split_clause,[status(thm)],[f1316,f555,f594]) ).
fof(f1318,plain,
( e3 != op(e0,op(e2,e2))
| ~ spl0_40
| spl0_88 ),
inference(forward_demodulation,[status(thm)],[f576,f789]) ).
fof(f1319,plain,
( e3 != op(e0,e0)
| ~ spl0_40
| spl0_88 ),
inference(forward_demodulation,[status(thm)],[f576,f1318]) ).
fof(f1320,plain,
( op(e2,e0) != e0
| ~ spl0_40 ),
inference(forward_demodulation,[status(thm)],[f576,f115]) ).
fof(f1321,plain,
( e0 != op(e3,e2)
| ~ spl0_40 ),
inference(forward_demodulation,[status(thm)],[f576,f95]) ).
fof(f1326,plain,
( e2 = e1
| ~ spl0_34
| ~ spl0_33 ),
inference(forward_demodulation,[status(thm)],[f556,f553]) ).
fof(f1327,plain,
( $false
| ~ spl0_34
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[status(thm)],[f1326,f129]) ).
fof(f1328,plain,
( ~ spl0_34
| ~ spl0_33 ),
inference(contradiction_clause,[status(thm)],[f1327]) ).
fof(f1331,plain,
( ~ spl0_63
| ~ spl0_55 ),
inference(split_clause,[status(thm)],[f1178,f649,f623]) ).
fof(f1337,plain,
( ~ spl0_61
| ~ spl0_49 ),
inference(split_clause,[status(thm)],[f1177,f643,f604]) ).
fof(f1338,plain,
( ~ spl0_1
| ~ spl0_49 ),
inference(split_clause,[status(thm)],[f1251,f448,f604]) ).
fof(f1339,plain,
( e1 = e3
| ~ spl0_61
| ~ spl0_63 ),
inference(forward_demodulation,[status(thm)],[f644,f650]) ).
fof(f1340,plain,
( $false
| ~ spl0_61
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[status(thm)],[f1339,f130]) ).
fof(f1341,plain,
( ~ spl0_61
| ~ spl0_63 ),
inference(contradiction_clause,[status(thm)],[f1340]) ).
fof(f1343,plain,
( ~ spl0_0
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f1265,f445,f484]) ).
fof(f1346,plain,
( ~ spl0_43
| ~ spl0_11 ),
inference(split_clause,[status(thm)],[f1139,f584,f480]) ).
fof(f1352,plain,
( e3 != op(e2,e2)
| ~ spl0_2
| spl0_89 ),
inference(backward_demodulation,[status(thm)],[f452,f1278]) ).
fof(f1353,plain,
( ~ spl0_43
| ~ spl0_2
| spl0_89 ),
inference(split_clause,[status(thm)],[f1352,f584,f451,f791]) ).
fof(f1357,plain,
( e0 != op(e2,e3)
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f485,f97]) ).
fof(f1359,plain,
( ~ spl0_41
| ~ spl0_25 ),
inference(split_clause,[status(thm)],[f1123,f578,f526]) ).
fof(f1362,plain,
( op(e0,e3) != e1
| ~ spl0_61 ),
inference(backward_demodulation,[status(thm)],[f644,f98]) ).
fof(f1364,plain,
( op(e3,e1) != e1
| ~ spl0_61 ),
inference(backward_demodulation,[status(thm)],[f644,f124]) ).
fof(f1365,plain,
( ~ spl0_53
| ~ spl0_61 ),
inference(split_clause,[status(thm)],[f1364,f617,f643]) ).
fof(f1369,plain,
( e3 != op(op(e1,e1),e2)
| ~ spl0_22
| spl0_87 ),
inference(backward_demodulation,[status(thm)],[f517,f785]) ).
fof(f1370,plain,
( e3 != op(e0,e2)
| ~ spl0_2
| spl0_78 ),
inference(forward_demodulation,[status(thm)],[f452,f748]) ).
fof(f1371,plain,
( e3 != e3
| ~ spl0_11
| ~ spl0_2
| spl0_78 ),
inference(forward_demodulation,[status(thm)],[f481,f1370]) ).
fof(f1372,plain,
( $false
| ~ spl0_11
| ~ spl0_2
| spl0_78 ),
inference(trivial_equality_resolution,[status(esa)],[f1371]) ).
fof(f1373,plain,
( ~ spl0_11
| ~ spl0_2
| spl0_78 ),
inference(contradiction_clause,[status(thm)],[f1372]) ).
fof(f1374,plain,
( e0 != op(op(e2,e2),e1)
| ~ spl0_41
| spl0_66 ),
inference(backward_demodulation,[status(thm)],[f579,f704]) ).
fof(f1375,plain,
( e3 != op(op(e2,e2),e1)
| ~ spl0_41
| spl0_88 ),
inference(backward_demodulation,[status(thm)],[f579,f789]) ).
fof(f1379,plain,
( op(e0,e1) != e0
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f472,f105]) ).
fof(f1381,plain,
( e0 != op(e1,e2)
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f472,f90]) ).
fof(f1382,plain,
( ~ spl0_62
| ~ spl0_46 ),
inference(split_clause,[status(thm)],[f1315,f646,f594]) ).
fof(f1383,plain,
( ~ spl0_29
| ~ spl0_17 ),
inference(split_clause,[status(thm)],[f1300,f539,f500]) ).
fof(f1389,plain,
( op(e0,e0) != e1
| ~ spl0_17 ),
inference(backward_demodulation,[status(thm)],[f501,f78]) ).
fof(f1390,plain,
( ~ spl0_1
| ~ spl0_17 ),
inference(split_clause,[status(thm)],[f1389,f448,f500]) ).
fof(f1392,plain,
( op(e0,e0) != e1
| ~ spl0_5 ),
inference(backward_demodulation,[status(thm)],[f462,f102]) ).
fof(f1393,plain,
( ~ spl0_1
| ~ spl0_5 ),
inference(split_clause,[status(thm)],[f1392,f448,f461]) ).
fof(f1401,plain,
( ~ spl0_36
| ~ spl0_32 ),
inference(split_clause,[status(thm)],[f1070,f562,f549]) ).
fof(f1408,plain,
( op(e0,e1) != e1
| ~ spl0_53 ),
inference(backward_demodulation,[status(thm)],[f618,f86]) ).
fof(f1409,plain,
( ~ spl0_5
| ~ spl0_53 ),
inference(split_clause,[status(thm)],[f1408,f461,f617]) ).
fof(f1410,plain,
( ~ spl0_59
| ~ spl0_51 ),
inference(split_clause,[status(thm)],[f1224,f636,f610]) ).
fof(f1413,plain,
( op(e2,e0) != e3
| ~ spl0_51 ),
inference(backward_demodulation,[status(thm)],[f611,f83]) ).
fof(f1414,plain,
( ~ spl0_35
| ~ spl0_51 ),
inference(split_clause,[status(thm)],[f1413,f558,f610]) ).
fof(f1427,plain,
( e1 != op(op(e3,e3),e2)
| ~ spl0_62
| spl0_76 ),
inference(backward_demodulation,[status(thm)],[f647,f741]) ).
fof(f1428,plain,
( op(e2,e1) != e0
| ~ spl0_44 ),
inference(backward_demodulation,[status(thm)],[f589,f118]) ).
fof(f1429,plain,
( ~ spl0_36
| ~ spl0_44 ),
inference(split_clause,[status(thm)],[f1428,f562,f588]) ).
fof(f1430,plain,
( e2 = e0
| ~ spl0_46
| ~ spl0_44 ),
inference(forward_demodulation,[status(thm)],[f595,f589]) ).
fof(f1431,plain,
( $false
| ~ spl0_46
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[status(thm)],[f1430,f127]) ).
fof(f1432,plain,
( ~ spl0_46
| ~ spl0_44 ),
inference(contradiction_clause,[status(thm)],[f1431]) ).
fof(f1438,plain,
( e2 != op(e1,e3)
| ~ spl0_26 ),
inference(backward_demodulation,[status(thm)],[f530,f113]) ).
fof(f1441,plain,
( e2 != op(e2,e2)
| ~ spl0_26 ),
inference(backward_demodulation,[status(thm)],[f530,f93]) ).
fof(f1444,plain,
( e0 != op(e1,e2)
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f511,f111]) ).
fof(f1446,plain,
( op(e1,e0) != e2
| ~ spl0_26 ),
inference(forward_demodulation,[status(thm)],[f530,f109]) ).
fof(f1448,plain,
( $false
| ~ spl0_26
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[status(thm)],[f504,f1446]) ).
fof(f1449,plain,
( ~ spl0_26
| ~ spl0_18 ),
inference(contradiction_clause,[status(thm)],[f1448]) ).
fof(f1453,plain,
( e0 != op(e3,e0)
| ~ spl0_32 ),
inference(backward_demodulation,[status(thm)],[f550,f83]) ).
fof(f1454,plain,
( ~ spl0_48
| ~ spl0_32 ),
inference(split_clause,[status(thm)],[f1453,f601,f549]) ).
fof(f1456,plain,
( e1 != op(op(e2,e2),e0)
| ~ spl0_40
| spl0_75 ),
inference(backward_demodulation,[status(thm)],[f576,f737]) ).
fof(f1457,plain,
( op(e0,e2) != e0
| ~ spl0_40 ),
inference(backward_demodulation,[status(thm)],[f576,f91]) ).
fof(f1458,plain,
( ~ spl0_8
| ~ spl0_40 ),
inference(split_clause,[status(thm)],[f1457,f471,f575]) ).
fof(f1459,plain,
( ~ spl0_32
| ~ spl0_40 ),
inference(split_clause,[status(thm)],[f1320,f549,f575]) ).
fof(f1467,plain,
( ~ spl0_13
| ~ spl0_61 ),
inference(split_clause,[status(thm)],[f1362,f487,f643]) ).
fof(f1468,plain,
( e0 != op(e2,e3)
| ~ spl0_32 ),
inference(forward_demodulation,[status(thm)],[f550,f116]) ).
fof(f1471,plain,
( e1 != op(e0,e2)
| ~ spl0_2
| spl0_85 ),
inference(backward_demodulation,[status(thm)],[f452,f777]) ).
fof(f1472,plain,
( ~ spl0_9
| ~ spl0_2
| spl0_85 ),
inference(split_clause,[status(thm)],[f1471,f474,f451,f775]) ).
fof(f1475,plain,
( e3 != op(e2,e2)
| ~ spl0_22
| spl0_87 ),
inference(forward_demodulation,[status(thm)],[f517,f1369]) ).
fof(f1475_001,plain,
( e3 != op(e2,e2)
| ~ spl0_22
| spl0_87 ),
inference(forward_demodulation,[status(thm)],[f517,f1369]) ).
fof(f1480,plain,
( op(e1,e0) != e2
| ~ spl0_22 ),
inference(forward_demodulation,[status(thm)],[f517,f108]) ).
fof(f1484,plain,
( e2 != op(e2,e1)
| ~ spl0_22 ),
inference(forward_demodulation,[status(thm)],[f517,f87]) ).
fof(f1490,plain,
( e0 != op(e3,e1)
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f459,f86]) ).
fof(f1492,plain,
( op(e3,e0) != e2
| ~ spl0_58 ),
inference(backward_demodulation,[status(thm)],[f634,f121]) ).
fof(f1493,plain,
( ~ spl0_50
| ~ spl0_58 ),
inference(split_clause,[status(thm)],[f1492,f607,f633]) ).
fof(f1497,plain,
( op(e2,e1) != e2
| ~ spl0_46 ),
inference(backward_demodulation,[status(thm)],[f595,f118]) ).
fof(f1498,plain,
( ~ spl0_38
| ~ spl0_46 ),
inference(split_clause,[status(thm)],[f1497,f568,f594]) ).
fof(f1510,plain,
( e1 != op(e1,op(e3,e3))
| ~ spl0_61
| spl0_76 ),
inference(forward_demodulation,[status(thm)],[f644,f741]) ).
fof(f1511,plain,
( e1 != op(e1,e1)
| ~ spl0_61
| spl0_76 ),
inference(forward_demodulation,[status(thm)],[f644,f1510]) ).
fof(f1513,plain,
( e0 != op(e1,e1)
| ~ spl0_41
| spl0_66 ),
inference(backward_demodulation,[status(thm)],[f579,f1374]) ).
fof(f1518,plain,
( e1 != op(e2,e2)
| ~ spl0_2
| spl0_77 ),
inference(backward_demodulation,[status(thm)],[f452,f1279]) ).
fof(f1519,plain,
( ~ spl0_41
| ~ spl0_2
| spl0_77 ),
inference(split_clause,[status(thm)],[f1518,f578,f451,f743]) ).
fof(f1525,plain,
( e3 = op(e2,op(e0,e0))
| ~ spl0_2
| ~ spl0_89 ),
inference(forward_demodulation,[status(thm)],[f452,f792]) ).
fof(f1526,plain,
( e3 = op(e2,e2)
| ~ spl0_2
| ~ spl0_89 ),
inference(forward_demodulation,[status(thm)],[f452,f1525]) ).
fof(f1527,plain,
( $false
| ~ spl0_22
| spl0_87
| ~ spl0_2
| ~ spl0_89 ),
inference(forward_subsumption_resolution,[status(thm)],[f1526,f1475]) ).
fof(f1528,plain,
( ~ spl0_22
| spl0_87
| ~ spl0_2
| ~ spl0_89 ),
inference(contradiction_clause,[status(thm)],[f1527]) ).
fof(f1529,plain,
( e2 = e3
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f452,f455]) ).
fof(f1530,plain,
( $false
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f1529,f131]) ).
fof(f1531,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(contradiction_clause,[status(thm)],[f1530]) ).
fof(f1538,plain,
( e0 != op(op(e3,e3),e1)
| ~ spl0_61
| spl0_68 ),
inference(backward_demodulation,[status(thm)],[f644,f711]) ).
fof(f1539,plain,
( e0 != op(e1,e1)
| ~ spl0_61
| spl0_68 ),
inference(forward_demodulation,[status(thm)],[f644,f1538]) ).
fof(f1545,plain,
( e2 != op(e3,e0)
| ~ spl0_2 ),
inference(backward_demodulation,[status(thm)],[f452,f80]) ).
fof(f1548,plain,
( e1 = op(e0,e2)
| ~ spl0_2
| ~ spl0_85 ),
inference(forward_demodulation,[status(thm)],[f452,f776]) ).
fof(f1549,plain,
( e2 != op(e1,op(e3,e3))
| ~ spl0_61
| spl0_83 ),
inference(forward_demodulation,[status(thm)],[f644,f768]) ).
fof(f1550,plain,
( e2 != op(e1,e1)
| ~ spl0_61
| spl0_83 ),
inference(forward_demodulation,[status(thm)],[f644,f1549]) ).
fof(f1559,plain,
( op(e0,e3) != e3
| ~ spl0_47 ),
inference(backward_demodulation,[status(thm)],[f598,f97]) ).
fof(f1562,plain,
( ~ spl0_30
| ~ spl0_26 ),
inference(split_clause,[status(thm)],[f1438,f542,f529]) ).
fof(f1563,plain,
( ~ spl0_42
| ~ spl0_26 ),
inference(split_clause,[status(thm)],[f1441,f581,f529]) ).
fof(f1572,plain,
( ~ spl0_44
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f1357,f588,f484]) ).
fof(f1597,plain,
( e3 != op(e2,e0)
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f507,f81]) ).
fof(f1599,plain,
( e1 != op(e2,e3)
| ~ spl0_33 ),
inference(forward_demodulation,[status(thm)],[f553,f116]) ).
fof(f1601,plain,
( e1 != op(e2,e2)
| ~ spl0_33 ),
inference(forward_demodulation,[status(thm)],[f553,f115]) ).
fof(f1610,plain,
( e2 != op(op(e1,e1),e0)
| ~ spl0_20
| spl0_82 ),
inference(backward_demodulation,[status(thm)],[f511,f764]) ).
fof(f1611,plain,
( e1 = op(e2,op(e0,e0))
| ~ spl0_2
| ~ spl0_77 ),
inference(forward_demodulation,[status(thm)],[f452,f744]) ).
fof(f1612,plain,
( e1 = op(e2,e2)
| ~ spl0_2
| ~ spl0_77 ),
inference(forward_demodulation,[status(thm)],[f452,f1611]) ).
fof(f1613,plain,
( $false
| ~ spl0_33
| ~ spl0_2
| ~ spl0_77 ),
inference(forward_subsumption_resolution,[status(thm)],[f1612,f1601]) ).
fof(f1614,plain,
( ~ spl0_33
| ~ spl0_2
| ~ spl0_77 ),
inference(contradiction_clause,[status(thm)],[f1613]) ).
fof(f1615,plain,
( e3 != op(op(e1,e1),e0)
| ~ spl0_20
| spl0_87 ),
inference(backward_demodulation,[status(thm)],[f511,f785]) ).
fof(f1618,plain,
( op(e0,e1) != e0
| ~ spl0_20 ),
inference(backward_demodulation,[status(thm)],[f511,f84]) ).
fof(f1619,plain,
( ~ spl0_4
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f1618,f458,f510]) ).
fof(f1622,plain,
( $false
| ~ spl0_61
| spl0_68
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[status(thm)],[f511,f1539]) ).
fof(f1623,plain,
( ~ spl0_61
| spl0_68
| ~ spl0_20 ),
inference(contradiction_clause,[status(thm)],[f1622]) ).
fof(f1624,plain,
( e3 != op(e1,e1)
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f468,f84]) ).
fof(f1625,plain,
( e3 != op(e2,e1)
| ~ spl0_7 ),
inference(backward_demodulation,[status(thm)],[f468,f85]) ).
fof(f1626,plain,
( ~ spl0_39
| ~ spl0_7 ),
inference(split_clause,[status(thm)],[f1625,f571,f467]) ).
fof(f1628,plain,
( ~ spl0_52
| ~ spl0_60 ),
inference(split_clause,[status(thm)],[f1093,f614,f640]) ).
fof(f1629,plain,
( op(e2,e3) != e0
| ~ spl0_60 ),
inference(forward_demodulation,[status(thm)],[f641,f101]) ).
fof(f1631,plain,
( ~ spl0_13
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f1187,f487,f448]) ).
fof(f1633,plain,
( ~ spl0_23
| ~ spl0_1
| spl0_89 ),
inference(split_clause,[status(thm)],[f1191,f519,f448,f791]) ).
fof(f1640,plain,
( ~ spl0_1
| ~ spl0_60
| spl0_76 ),
inference(split_clause,[status(thm)],[f1125,f448,f640,f739]) ).
fof(f1646,plain,
( e1 = e0
| ~ spl0_1
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f449,f446]) ).
fof(f1647,plain,
( $false
| ~ spl0_1
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f1646,f126]) ).
fof(f1648,plain,
( ~ spl0_1
| ~ spl0_0 ),
inference(contradiction_clause,[status(thm)],[f1647]) ).
fof(f1649,plain,
( e3 != op(e1,e1)
| ~ spl0_41
| spl0_88 ),
inference(backward_demodulation,[status(thm)],[f579,f1375]) ).
fof(f1650,plain,
( ~ spl0_23
| ~ spl0_41
| spl0_88 ),
inference(split_clause,[status(thm)],[f1649,f519,f578,f787]) ).
fof(f1653,plain,
( $false
| ~ spl0_7
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[status(thm)],[f520,f1624]) ).
fof(f1654,plain,
( ~ spl0_7
| ~ spl0_23 ),
inference(contradiction_clause,[status(thm)],[f1653]) ).
fof(f1658,plain,
( op(e0,e1) != e2
| ~ spl0_54 ),
inference(backward_demodulation,[status(thm)],[f621,f86]) ).
fof(f1661,plain,
( op(e3,e0) != e2
| ~ spl0_54 ),
inference(backward_demodulation,[status(thm)],[f621,f120]) ).
fof(f1677,plain,
( ~ spl0_3
| ~ spl0_40
| spl0_88 ),
inference(split_clause,[status(thm)],[f1319,f454,f575,f787]) ).
fof(f1679,plain,
( e2 = e0
| ~ spl0_42
| ~ spl0_40 ),
inference(forward_demodulation,[status(thm)],[f582,f576]) ).
fof(f1680,plain,
( $false
| ~ spl0_42
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[status(thm)],[f1679,f127]) ).
fof(f1681,plain,
( ~ spl0_42
| ~ spl0_40 ),
inference(contradiction_clause,[status(thm)],[f1680]) ).
fof(f1683,plain,
( e0 = e3
| ~ spl0_0
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f446,f455]) ).
fof(f1684,plain,
( $false
| ~ spl0_0
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f1683,f128]) ).
fof(f1685,plain,
( ~ spl0_0
| ~ spl0_3 ),
inference(contradiction_clause,[status(thm)],[f1684]) ).
fof(f1688,plain,
( e3 != op(e3,e0)
| ~ spl0_19 ),
inference(backward_demodulation,[status(thm)],[f507,f82]) ).
fof(f1689,plain,
( ~ spl0_35
| ~ spl0_19 ),
inference(split_clause,[status(thm)],[f1597,f558,f506]) ).
fof(f1690,plain,
( ~ spl0_12
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f1238,f484,f471]) ).
fof(f1691,plain,
( ~ spl0_24
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f1381,f523,f471]) ).
fof(f1692,plain,
( ~ spl0_4
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f1379,f458,f471]) ).
fof(f1695,plain,
( op(e0,e0) != e0
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f472,f103]) ).
fof(f1706,plain,
( e1 = e0
| ~ spl0_8
| ~ spl0_2
| ~ spl0_85 ),
inference(forward_demodulation,[status(thm)],[f472,f1548]) ).
fof(f1707,plain,
( $false
| ~ spl0_8
| ~ spl0_2
| ~ spl0_85 ),
inference(forward_subsumption_resolution,[status(thm)],[f1706,f126]) ).
fof(f1708,plain,
( ~ spl0_8
| ~ spl0_2
| ~ spl0_85 ),
inference(contradiction_clause,[status(thm)],[f1707]) ).
fof(f1712,plain,
( e0 != op(e0,e3)
| ~ spl0_4 ),
inference(backward_demodulation,[status(thm)],[f459,f106]) ).
fof(f1713,plain,
( ~ spl0_12
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f1712,f484,f458]) ).
fof(f1719,plain,
( e1 != op(e1,e2)
| ~ spl0_9 ),
inference(backward_demodulation,[status(thm)],[f475,f90]) ).
fof(f1720,plain,
( ~ spl0_25
| ~ spl0_9 ),
inference(split_clause,[status(thm)],[f1719,f526,f474]) ).
fof(f1732,plain,
( op(e2,e3) != e1
| ~ spl0_61 ),
inference(backward_demodulation,[status(thm)],[f644,f101]) ).
fof(f1733,plain,
( ~ spl0_45
| ~ spl0_61 ),
inference(split_clause,[status(thm)],[f1732,f591,f643]) ).
fof(f1742,plain,
( e2 != op(e2,e2)
| ~ spl0_38 ),
inference(backward_demodulation,[status(thm)],[f569,f117]) ).
fof(f1749,plain,
( ~ spl0_43
| ~ spl0_22
| spl0_87 ),
inference(split_clause,[status(thm)],[f1475,f584,f516,f783]) ).
fof(f1761,plain,
( $false
| ~ spl0_61
| spl0_83
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[status(thm)],[f517,f1550]) ).
fof(f1762,plain,
( ~ spl0_61
| spl0_83
| ~ spl0_22 ),
inference(contradiction_clause,[status(thm)],[f1761]) ).
fof(f1763,plain,
( ~ spl0_56
| ~ spl0_40 ),
inference(split_clause,[status(thm)],[f1321,f627,f575]) ).
fof(f1766,plain,
( ~ spl0_34
| ~ spl0_18 ),
inference(split_clause,[status(thm)],[f1147,f555,f503]) ).
fof(f1780,plain,
( e0 != op(e3,e1)
| ~ spl0_48 ),
inference(backward_demodulation,[status(thm)],[f602,f120]) ).
fof(f1781,plain,
( e0 != op(e3,e2)
| ~ spl0_48 ),
inference(backward_demodulation,[status(thm)],[f602,f121]) ).
fof(f1782,plain,
( ~ spl0_56
| ~ spl0_48 ),
inference(split_clause,[status(thm)],[f1781,f627,f601]) ).
fof(f1787,plain,
( ~ spl0_20
| ~ spl0_41
| spl0_66 ),
inference(split_clause,[status(thm)],[f1513,f510,f578,f702]) ).
fof(f1792,plain,
( e2 != op(e0,e0)
| ~ spl0_20
| spl0_82 ),
inference(backward_demodulation,[status(thm)],[f511,f1610]) ).
fof(f1802,plain,
( op(e0,e3) != e2
| ~ spl0_62 ),
inference(backward_demodulation,[status(thm)],[f647,f98]) ).
fof(f1804,plain,
( op(e3,e2) != e2
| ~ spl0_62 ),
inference(backward_demodulation,[status(thm)],[f647,f125]) ).
fof(f1808,plain,
( ~ spl0_43
| ~ spl0_27 ),
inference(split_clause,[status(thm)],[f1290,f584,f532]) ).
fof(f1809,plain,
( ~ spl0_19
| ~ spl0_27 ),
inference(split_clause,[status(thm)],[f1288,f506,f532]) ).
fof(f1812,plain,
( e0 != op(e3,e1)
| ~ spl0_61
| spl0_79 ),
inference(forward_demodulation,[status(thm)],[f644,f752]) ).
fof(f1813,plain,
( ~ spl0_52
| ~ spl0_61
| spl0_79 ),
inference(split_clause,[status(thm)],[f1812,f614,f643,f750]) ).
fof(f1826,plain,
( ~ spl0_0
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f1695,f445,f471]) ).
fof(f1832,plain,
( e0 != op(e1,e0)
| ~ spl0_0 ),
inference(backward_demodulation,[status(thm)],[f446,f78]) ).
fof(f1833,plain,
( ~ spl0_16
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f1832,f497,f445]) ).
fof(f1837,plain,
( e2 = e3
| ~ spl0_42
| ~ spl0_43 ),
inference(forward_demodulation,[status(thm)],[f582,f585]) ).
fof(f1838,plain,
( $false
| ~ spl0_42
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[status(thm)],[f1837,f131]) ).
fof(f1839,plain,
( ~ spl0_42
| ~ spl0_43 ),
inference(contradiction_clause,[status(thm)],[f1838]) ).
fof(f1840,plain,
( ~ spl0_45
| ~ spl0_37 ),
inference(split_clause,[status(thm)],[f1083,f591,f565]) ).
fof(f1841,plain,
( ~ spl0_21
| ~ spl0_37 ),
inference(split_clause,[status(thm)],[f1086,f513,f565]) ).
fof(f1845,plain,
( op(e2,e0) != e1
| ~ spl0_37 ),
inference(forward_demodulation,[status(thm)],[f566,f114]) ).
fof(f1847,plain,
( e1 != op(e3,e1)
| ~ spl0_37 ),
inference(forward_demodulation,[status(thm)],[f566,f89]) ).
fof(f1848,plain,
( ~ spl0_51
| ~ spl0_19 ),
inference(split_clause,[status(thm)],[f1688,f610,f506]) ).
fof(f1852,plain,
( e3 != op(e1,e3)
| ~ spl0_19 ),
inference(backward_demodulation,[status(thm)],[f507,f110]) ).
fof(f1869,plain,
( ~ spl0_49
| ~ spl0_60
| spl0_72 ),
inference(split_clause,[status(thm)],[f1105,f604,f640,f723]) ).
fof(f1870,plain,
( ~ spl0_2
| ~ spl0_20
| spl0_82 ),
inference(split_clause,[status(thm)],[f1792,f451,f510,f762]) ).
fof(f1889,plain,
( e3 = e0
| ~ spl0_63
| ~ spl0_60 ),
inference(forward_demodulation,[status(thm)],[f650,f641]) ).
fof(f1890,plain,
( $false
| ~ spl0_63
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[status(thm)],[f1889,f128]) ).
fof(f1891,plain,
( ~ spl0_63
| ~ spl0_60 ),
inference(contradiction_clause,[status(thm)],[f1890]) ).
fof(f1898,plain,
( ~ spl0_50
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f1545,f607,f451]) ).
fof(f1902,plain,
( ~ spl0_50
| ~ spl0_54 ),
inference(split_clause,[status(thm)],[f1661,f607,f620]) ).
fof(f1903,plain,
( e2 != op(e3,e3)
| ~ spl0_54 ),
inference(backward_demodulation,[status(thm)],[f621,f124]) ).
fof(f1907,plain,
( e3 = e1
| ~ spl0_19
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f507,f501]) ).
fof(f1908,plain,
( $false
| ~ spl0_19
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[status(thm)],[f1907,f130]) ).
fof(f1909,plain,
( ~ spl0_19
| ~ spl0_17 ),
inference(contradiction_clause,[status(thm)],[f1908]) ).
fof(f1911,plain,
( op(e2,e0) != e3
| ~ spl0_39 ),
inference(backward_demodulation,[status(thm)],[f572,f114]) ).
fof(f1913,plain,
( op(e1,e1) != e3
| ~ spl0_39 ),
inference(backward_demodulation,[status(thm)],[f572,f87]) ).
fof(f1914,plain,
( ~ spl0_23
| ~ spl0_39 ),
inference(split_clause,[status(thm)],[f1913,f519,f571]) ).
fof(f1927,plain,
( ~ spl0_9
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f1185,f474,f448]) ).
fof(f1928,plain,
( e1 != op(e2,e0)
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f449,f79]) ).
fof(f1931,plain,
( e1 != op(e3,e3)
| ~ spl0_29 ),
inference(backward_demodulation,[status(thm)],[f540,f100]) ).
fof(f1932,plain,
( ~ spl0_61
| ~ spl0_29 ),
inference(split_clause,[status(thm)],[f1931,f643,f539]) ).
fof(f1933,plain,
( op(e1,e1) != e1
| ~ spl0_29 ),
inference(backward_demodulation,[status(thm)],[f540,f112]) ).
fof(f1942,plain,
( ~ spl0_50
| ~ spl0_60
| spl0_69 ),
inference(split_clause,[status(thm)],[f1107,f607,f640,f712]) ).
fof(f1943,plain,
( e1 != op(e0,e0)
| ~ spl0_40
| spl0_75 ),
inference(backward_demodulation,[status(thm)],[f576,f1456]) ).
fof(f1944,plain,
( ~ spl0_1
| ~ spl0_40
| spl0_75 ),
inference(split_clause,[status(thm)],[f1943,f448,f575,f735]) ).
fof(f1949,plain,
( e2 = op(e1,op(e0,e0))
| ~ spl0_1
| ~ spl0_84 ),
inference(forward_demodulation,[status(thm)],[f449,f771]) ).
fof(f1950,plain,
( e2 = op(e1,e1)
| ~ spl0_1
| ~ spl0_84 ),
inference(forward_demodulation,[status(thm)],[f449,f1949]) ).
fof(f1951,plain,
( e3 != op(e0,e1)
| ~ spl0_1
| spl0_78 ),
inference(forward_demodulation,[status(thm)],[f449,f748]) ).
fof(f1957,plain,
( ~ spl0_31
| ~ spl0_19 ),
inference(split_clause,[status(thm)],[f1852,f545,f506]) ).
fof(f1958,plain,
( e0 = e3
| ~ spl0_16
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f498,f507]) ).
fof(f1959,plain,
( $false
| ~ spl0_16
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[status(thm)],[f1958,f128]) ).
fof(f1960,plain,
( ~ spl0_16
| ~ spl0_19 ),
inference(contradiction_clause,[status(thm)],[f1959]) ).
fof(f1966,plain,
( ~ spl0_18
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f1480,f503,f516]) ).
fof(f1968,plain,
( ~ spl0_38
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f1484,f568,f516]) ).
fof(f1969,plain,
( e2 != op(e2,e1)
| ~ spl0_1
| ~ spl0_84 ),
inference(forward_demodulation,[status(thm)],[f1950,f87]) ).
fof(f1971,plain,
( $false
| ~ spl0_1
| ~ spl0_84
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[status(thm)],[f569,f1969]) ).
fof(f1972,plain,
( ~ spl0_1
| ~ spl0_84
| ~ spl0_38 ),
inference(contradiction_clause,[status(thm)],[f1971]) ).
fof(f1986,plain,
( ~ spl0_14
| ~ spl0_62 ),
inference(split_clause,[status(thm)],[f1802,f490,f646]) ).
fof(f1988,plain,
( op(e2,e0) != e1
| ~ spl0_41 ),
inference(backward_demodulation,[status(thm)],[f579,f115]) ).
fof(f2001,plain,
( e2 != op(op(e1,e1),e3)
| ~ spl0_23
| spl0_82 ),
inference(backward_demodulation,[status(thm)],[f520,f764]) ).
fof(f2002,plain,
( e2 != op(e3,e3)
| ~ spl0_23
| spl0_82 ),
inference(forward_demodulation,[status(thm)],[f520,f2001]) ).
fof(f2003,plain,
( e2 != e2
| ~ spl0_62
| ~ spl0_23
| spl0_82 ),
inference(forward_demodulation,[status(thm)],[f647,f2002]) ).
fof(f2004,plain,
( $false
| ~ spl0_62
| ~ spl0_23
| spl0_82 ),
inference(trivial_equality_resolution,[status(esa)],[f2003]) ).
fof(f2005,plain,
( ~ spl0_62
| ~ spl0_23
| spl0_82 ),
inference(contradiction_clause,[status(thm)],[f2004]) ).
fof(f2006,plain,
( op(e1,e1) != e2
| ~ spl0_54 ),
inference(backward_demodulation,[status(thm)],[f621,f88]) ).
fof(f2007,plain,
( ~ spl0_22
| ~ spl0_54 ),
inference(split_clause,[status(thm)],[f2006,f516,f620]) ).
fof(f2011,plain,
( ~ spl0_6
| ~ spl0_54 ),
inference(split_clause,[status(thm)],[f1658,f464,f620]) ).
fof(f2012,plain,
( op(e1,e1) != e0
| ~ spl0_36 ),
inference(backward_demodulation,[status(thm)],[f563,f87]) ).
fof(f2013,plain,
( ~ spl0_20
| ~ spl0_36 ),
inference(split_clause,[status(thm)],[f2012,f510,f562]) ).
fof(f2014,plain,
( e0 != op(e2,e2)
| ~ spl0_36 ),
inference(backward_demodulation,[status(thm)],[f563,f117]) ).
fof(f2027,plain,
( e2 != op(e2,e2)
| ~ spl0_34 ),
inference(backward_demodulation,[status(thm)],[f556,f115]) ).
fof(f2028,plain,
( ~ spl0_42
| ~ spl0_34 ),
inference(split_clause,[status(thm)],[f2027,f581,f555]) ).
fof(f2029,plain,
( e2 != op(e2,e1)
| ~ spl0_34 ),
inference(backward_demodulation,[status(thm)],[f556,f114]) ).
fof(f2038,plain,
( e2 != op(e3,e1)
| ~ spl0_1
| ~ spl0_84 ),
inference(backward_demodulation,[status(thm)],[f1950,f88]) ).
fof(f2039,plain,
( ~ spl0_54
| ~ spl0_1
| ~ spl0_84 ),
inference(split_clause,[status(thm)],[f2038,f620,f448,f770]) ).
fof(f2041,plain,
( op(e0,e1) != e2
| ~ spl0_1
| ~ spl0_84 ),
inference(forward_demodulation,[status(thm)],[f1950,f84]) ).
fof(f2042,plain,
( ~ spl0_6
| ~ spl0_1
| ~ spl0_84 ),
inference(split_clause,[status(thm)],[f2041,f464,f448,f770]) ).
fof(f2043,plain,
( e2 != op(e1,e3)
| ~ spl0_1
| ~ spl0_84 ),
inference(forward_demodulation,[status(thm)],[f1950,f112]) ).
fof(f2044,plain,
( ~ spl0_30
| ~ spl0_1
| ~ spl0_84 ),
inference(split_clause,[status(thm)],[f2043,f542,f448,f770]) ).
fof(f2050,plain,
( op(e0,e2) != e2
| ~ spl0_42 ),
inference(backward_demodulation,[status(thm)],[f582,f91]) ).
fof(f2051,plain,
( ~ spl0_10
| ~ spl0_42 ),
inference(split_clause,[status(thm)],[f2050,f477,f581]) ).
fof(f2077,plain,
( ~ spl0_24
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f1444,f523,f510]) ).
fof(f2093,plain,
( ~ spl0_33
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f1928,f552,f448]) ).
fof(f2099,plain,
( op(e3,e0) != e1
| ~ spl0_57 ),
inference(backward_demodulation,[status(thm)],[f631,f121]) ).
fof(f2101,plain,
( op(e1,e0) != e2
| ~ spl0_30 ),
inference(backward_demodulation,[status(thm)],[f543,f110]) ).
fof(f2102,plain,
( ~ spl0_18
| ~ spl0_30 ),
inference(split_clause,[status(thm)],[f2101,f503,f542]) ).
fof(f2107,plain,
( e3 != op(e1,e2)
| ~ spl0_11 ),
inference(backward_demodulation,[status(thm)],[f481,f90]) ).
fof(f2108,plain,
( ~ spl0_27
| ~ spl0_11 ),
inference(split_clause,[status(thm)],[f2107,f532,f480]) ).
fof(f2109,plain,
( op(e0,e1) != e3
| ~ spl0_11 ),
inference(backward_demodulation,[status(thm)],[f481,f105]) ).
fof(f2110,plain,
( ~ spl0_7
| ~ spl0_11 ),
inference(split_clause,[status(thm)],[f2109,f467,f480]) ).
fof(f2115,plain,
( ~ spl0_15
| ~ spl0_11 ),
inference(split_clause,[status(thm)],[f1133,f493,f480]) ).
fof(f2133,plain,
( e0 != op(e3,e3)
| ~ spl0_12 ),
inference(backward_demodulation,[status(thm)],[f485,f98]) ).
fof(f2134,plain,
( ~ spl0_60
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f2133,f640,f484]) ).
fof(f2169,plain,
( op(e0,e0) != e2
| ~ spl0_18 ),
inference(backward_demodulation,[status(thm)],[f504,f78]) ).
fof(f2170,plain,
( ~ spl0_2
| ~ spl0_18 ),
inference(split_clause,[status(thm)],[f2169,f451,f503]) ).
fof(f2171,plain,
( e0 = e2
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f498,f504]) ).
fof(f2172,plain,
( $false
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[status(thm)],[f2171,f127]) ).
fof(f2173,plain,
( ~ spl0_16
| ~ spl0_18 ),
inference(contradiction_clause,[status(thm)],[f2172]) ).
fof(f2192,plain,
( ~ spl0_15
| ~ spl0_47 ),
inference(split_clause,[status(thm)],[f1559,f493,f597]) ).
fof(f2199,plain,
( ~ spl0_21
| ~ spl0_29 ),
inference(split_clause,[status(thm)],[f1933,f513,f539]) ).
fof(f2203,plain,
( op(e0,e1) != e3
| ~ spl0_15 ),
inference(backward_demodulation,[status(thm)],[f494,f106]) ).
fof(f2204,plain,
( ~ spl0_7
| ~ spl0_15 ),
inference(split_clause,[status(thm)],[f2203,f467,f493]) ).
fof(f2206,plain,
( e3 != op(e3,e1)
| ~ spl0_7 ),
inference(backward_demodulation,[status(thm)],[f468,f86]) ).
fof(f2239,plain,
( op(e2,e0) != e3
| ~ spl0_47 ),
inference(backward_demodulation,[status(thm)],[f598,f116]) ).
fof(f2240,plain,
( ~ spl0_35
| ~ spl0_47 ),
inference(split_clause,[status(thm)],[f2239,f558,f597]) ).
fof(f2244,plain,
( op(e0,e2) != e1
| ~ spl0_57 ),
inference(backward_demodulation,[status(thm)],[f631,f92]) ).
fof(f2245,plain,
( ~ spl0_9
| ~ spl0_57 ),
inference(split_clause,[status(thm)],[f2244,f474,f630]) ).
fof(f2253,plain,
( e0 != op(e1,e2)
| ~ spl0_22
| spl0_86 ),
inference(backward_demodulation,[status(thm)],[f517,f781]) ).
fof(f2254,plain,
( ~ spl0_24
| ~ spl0_22
| spl0_86 ),
inference(split_clause,[status(thm)],[f2253,f523,f516,f779]) ).
fof(f2263,plain,
( e1 = e3
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f475,f481]) ).
fof(f2264,plain,
( $false
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f2263,f130]) ).
fof(f2265,plain,
( ~ spl0_9
| ~ spl0_11 ),
inference(contradiction_clause,[status(thm)],[f2264]) ).
fof(f2268,plain,
( e2 != op(e2,e3)
| ~ spl0_42 ),
inference(backward_demodulation,[status(thm)],[f582,f119]) ).
fof(f2277,plain,
( e1 != op(e3,e3)
| ~ spl0_57 ),
inference(backward_demodulation,[status(thm)],[f631,f125]) ).
fof(f2278,plain,
( ~ spl0_61
| ~ spl0_57 ),
inference(split_clause,[status(thm)],[f2277,f643,f630]) ).
fof(f2287,plain,
( ~ spl0_44
| ~ spl0_60 ),
inference(split_clause,[status(thm)],[f1629,f588,f640]) ).
fof(f2291,plain,
( e1 = e0
| ~ spl0_61
| ~ spl0_60 ),
inference(forward_demodulation,[status(thm)],[f644,f641]) ).
fof(f2292,plain,
( $false
| ~ spl0_61
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[status(thm)],[f2291,f126]) ).
fof(f2293,plain,
( ~ spl0_61
| ~ spl0_60 ),
inference(contradiction_clause,[status(thm)],[f2292]) ).
fof(f2298,plain,
( e2 != op(e3,e3)
| ~ spl0_50 ),
inference(backward_demodulation,[status(thm)],[f608,f122]) ).
fof(f2299,plain,
( ~ spl0_62
| ~ spl0_50 ),
inference(split_clause,[status(thm)],[f2298,f646,f607]) ).
fof(f2300,plain,
( op(e2,e0) != e2
| ~ spl0_50 ),
inference(backward_demodulation,[status(thm)],[f608,f83]) ).
fof(f2301,plain,
( ~ spl0_34
| ~ spl0_50 ),
inference(split_clause,[status(thm)],[f2300,f555,f607]) ).
fof(f2302,plain,
( ~ spl0_35
| ~ spl0_39 ),
inference(split_clause,[status(thm)],[f1911,f558,f571]) ).
fof(f2314,plain,
( e3 != op(e3,e2)
| ~ spl0_27 ),
inference(backward_demodulation,[status(thm)],[f533,f94]) ).
fof(f2315,plain,
( ~ spl0_59
| ~ spl0_27 ),
inference(split_clause,[status(thm)],[f2314,f636,f532]) ).
fof(f2317,plain,
( e3 = e0
| ~ spl0_39
| ~ spl0_36 ),
inference(forward_demodulation,[status(thm)],[f572,f563]) ).
fof(f2318,plain,
( $false
| ~ spl0_39
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[status(thm)],[f2317,f128]) ).
fof(f2319,plain,
( ~ spl0_39
| ~ spl0_36 ),
inference(contradiction_clause,[status(thm)],[f2318]) ).
fof(f2324,plain,
( e1 != op(e1,e2)
| ~ spl0_21 ),
inference(backward_demodulation,[status(thm)],[f514,f111]) ).
fof(f2325,plain,
( ~ spl0_25
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f2324,f526,f513]) ).
fof(f2342,plain,
( e2 != op(e1,e1)
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f465,f84]) ).
fof(f2349,plain,
( e1 != op(e3,e1)
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f514,f88]) ).
fof(f2359,plain,
( $false
| ~ spl0_21
| ~ spl0_53 ),
inference(forward_subsumption_resolution,[status(thm)],[f618,f2349]) ).
fof(f2360,plain,
( ~ spl0_21
| ~ spl0_53 ),
inference(contradiction_clause,[status(thm)],[f2359]) ).
fof(f2361,plain,
( op(e1,e3) != e0
| ~ spl0_44 ),
inference(backward_demodulation,[status(thm)],[f589,f99]) ).
fof(f2362,plain,
( ~ spl0_28
| ~ spl0_44 ),
inference(split_clause,[status(thm)],[f2361,f536,f588]) ).
fof(f2370,plain,
( ~ spl0_55
| ~ spl0_7 ),
inference(split_clause,[status(thm)],[f2206,f623,f467]) ).
fof(f2397,plain,
( e0 != op(e0,e1)
| ~ spl0_0 ),
inference(backward_demodulation,[status(thm)],[f446,f102]) ).
fof(f2398,plain,
( ~ spl0_4
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f2397,f458,f445]) ).
fof(f2434,plain,
( e0 != op(e3,e3)
| ~ spl0_28 ),
inference(backward_demodulation,[status(thm)],[f537,f100]) ).
fof(f2441,plain,
( e0 = e3
| ~ spl0_28
| ~ spl0_31 ),
inference(forward_demodulation,[status(thm)],[f537,f546]) ).
fof(f2442,plain,
( $false
| ~ spl0_28
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[status(thm)],[f2441,f128]) ).
fof(f2443,plain,
( ~ spl0_28
| ~ spl0_31 ),
inference(contradiction_clause,[status(thm)],[f2442]) ).
fof(f2458,plain,
( e1 != op(op(e2,e2),e3)
| ~ spl0_43
| spl0_75 ),
inference(backward_demodulation,[status(thm)],[f585,f737]) ).
fof(f2537,plain,
( e0 != op(e3,op(e1,e1))
| ~ spl0_23
| spl0_70 ),
inference(forward_demodulation,[status(thm)],[f520,f718]) ).
fof(f2538,plain,
( e0 != op(e3,e3)
| ~ spl0_23
| spl0_70 ),
inference(forward_demodulation,[status(thm)],[f520,f2537]) ).
fof(f2545,plain,
( $false
| ~ spl0_23
| spl0_70
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[status(thm)],[f641,f2538]) ).
fof(f2546,plain,
( ~ spl0_23
| spl0_70
| ~ spl0_60 ),
inference(contradiction_clause,[status(thm)],[f2545]) ).
fof(f2578,plain,
( e1 != op(e2,e2)
| ~ spl0_62
| spl0_76 ),
inference(backward_demodulation,[status(thm)],[f647,f1427]) ).
fof(f2579,plain,
( ~ spl0_41
| ~ spl0_62
| spl0_76 ),
inference(split_clause,[status(thm)],[f2578,f578,f646,f739]) ).
fof(f2582,plain,
( ~ spl0_21
| ~ spl0_61
| spl0_76 ),
inference(split_clause,[status(thm)],[f1511,f513,f643,f739]) ).
fof(f2591,plain,
( ~ spl0_62
| ~ spl0_54 ),
inference(split_clause,[status(thm)],[f1903,f646,f620]) ).
fof(f2666,plain,
( op(e1,e3) != e2
| ~ spl0_62 ),
inference(backward_demodulation,[status(thm)],[f647,f100]) ).
fof(f2667,plain,
( ~ spl0_30
| ~ spl0_62 ),
inference(split_clause,[status(thm)],[f2666,f542,f646]) ).
fof(f2692,plain,
( op(e1,e0) != e0
| ~ spl0_48 ),
inference(backward_demodulation,[status(thm)],[f602,f82]) ).
fof(f2697,plain,
( op(e1,e0) != e1
| ~ spl0_21 ),
inference(backward_demodulation,[status(thm)],[f514,f108]) ).
fof(f2698,plain,
( ~ spl0_17
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f2697,f500,f513]) ).
fof(f2700,plain,
( e1 != op(e2,e0)
| ~ spl0_40
| spl0_74 ),
inference(backward_demodulation,[status(thm)],[f576,f733]) ).
fof(f2701,plain,
( ~ spl0_33
| ~ spl0_40
| spl0_74 ),
inference(split_clause,[status(thm)],[f2700,f552,f575,f731]) ).
fof(f2702,plain,
( e0 != op(e2,e1)
| ~ spl0_41
| spl0_81 ),
inference(backward_demodulation,[status(thm)],[f579,f760]) ).
fof(f2706,plain,
( e3 = op(op(e2,e2),e1)
| ~ spl0_41
| ~ spl0_88 ),
inference(backward_demodulation,[status(thm)],[f579,f788]) ).
fof(f2707,plain,
( e3 = op(e1,e1)
| ~ spl0_41
| ~ spl0_88 ),
inference(forward_demodulation,[status(thm)],[f579,f2706]) ).
fof(f2708,plain,
( e3 = e1
| ~ spl0_21
| ~ spl0_41
| ~ spl0_88 ),
inference(forward_demodulation,[status(thm)],[f514,f2707]) ).
fof(f2709,plain,
( $false
| ~ spl0_21
| ~ spl0_41
| ~ spl0_88 ),
inference(forward_subsumption_resolution,[status(thm)],[f2708,f130]) ).
fof(f2710,plain,
( ~ spl0_21
| ~ spl0_41
| ~ spl0_88 ),
inference(contradiction_clause,[status(thm)],[f2709]) ).
fof(f2764,plain,
( e2 = e3
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f465,f468]) ).
fof(f2765,plain,
( $false
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f2764,f131]) ).
fof(f2766,plain,
( ~ spl0_6
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f2765]) ).
fof(f2780,plain,
( e0 != op(e3,e1)
| ~ spl0_36 ),
inference(backward_demodulation,[status(thm)],[f563,f89]) ).
fof(f2781,plain,
( ~ spl0_52
| ~ spl0_36 ),
inference(split_clause,[status(thm)],[f2780,f614,f562]) ).
fof(f2786,plain,
( $false
| ~ spl0_48
| ~ spl0_52 ),
inference(forward_subsumption_resolution,[status(thm)],[f615,f1780]) ).
fof(f2787,plain,
( ~ spl0_48
| ~ spl0_52 ),
inference(contradiction_clause,[status(thm)],[f2786]) ).
fof(f2791,plain,
( ~ spl0_58
| ~ spl0_10 ),
inference(split_clause,[status(thm)],[f1077,f633,f477]) ).
fof(f2877,plain,
( op(e0,e3) != e2
| ~ spl0_30 ),
inference(backward_demodulation,[status(thm)],[f543,f96]) ).
fof(f2884,plain,
( ~ spl0_38
| ~ spl0_34 ),
inference(split_clause,[status(thm)],[f2029,f568,f555]) ).
fof(f2891,plain,
( e0 = e1
| ~ spl0_40
| ~ spl0_41 ),
inference(forward_demodulation,[status(thm)],[f576,f579]) ).
fof(f2892,plain,
( $false
| ~ spl0_40
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[status(thm)],[f2891,f126]) ).
fof(f2893,plain,
( ~ spl0_40
| ~ spl0_41 ),
inference(contradiction_clause,[status(thm)],[f2892]) ).
fof(f2905,plain,
( op(e2,e1) != e3
| ~ spl0_55 ),
inference(backward_demodulation,[status(thm)],[f624,f89]) ).
fof(f2906,plain,
( ~ spl0_39
| ~ spl0_55 ),
inference(split_clause,[status(thm)],[f2905,f571,f623]) ).
fof(f2911,plain,
( e0 = op(e1,op(e3,e3))
| ~ spl0_61
| ~ spl0_68 ),
inference(forward_demodulation,[status(thm)],[f644,f710]) ).
fof(f2912,plain,
( e0 = op(e1,e1)
| ~ spl0_61
| ~ spl0_68 ),
inference(forward_demodulation,[status(thm)],[f644,f2911]) ).
fof(f2922,plain,
( e3 != op(e3,e3)
| ~ spl0_31 ),
inference(forward_demodulation,[status(thm)],[f546,f100]) ).
fof(f2926,plain,
( op(e1,e2) != e3
| ~ spl0_31 ),
inference(forward_demodulation,[status(thm)],[f546,f113]) ).
fof(f2937,plain,
( e2 != op(e0,e3)
| ~ spl0_6 ),
inference(backward_demodulation,[status(thm)],[f465,f106]) ).
fof(f2938,plain,
( ~ spl0_14
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f2937,f490,f464]) ).
fof(f2960,plain,
( e1 != op(op(e0,e0),e3)
| ~ spl0_3
| spl0_77 ),
inference(backward_demodulation,[status(thm)],[f455,f745]) ).
fof(f2961,plain,
( e1 != op(e0,e3)
| ~ spl0_3
| spl0_85 ),
inference(backward_demodulation,[status(thm)],[f455,f777]) ).
fof(f2962,plain,
( ~ spl0_13
| ~ spl0_3
| spl0_85 ),
inference(split_clause,[status(thm)],[f2961,f487,f454,f775]) ).
fof(f2983,plain,
( e3 != op(e2,e3)
| ~ spl0_39 ),
inference(backward_demodulation,[status(thm)],[f572,f118]) ).
fof(f2984,plain,
( ~ spl0_47
| ~ spl0_39 ),
inference(split_clause,[status(thm)],[f2983,f597,f571]) ).
fof(f3052,plain,
( e0 != op(e3,e2)
| ~ spl0_62
| spl0_79 ),
inference(forward_demodulation,[status(thm)],[f647,f752]) ).
fof(f3060,plain,
( e0 = e3
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_demodulation,[status(thm)],[f589,f598]) ).
fof(f3061,plain,
( $false
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[status(thm)],[f3060,f128]) ).
fof(f3062,plain,
( ~ spl0_44
| ~ spl0_47 ),
inference(contradiction_clause,[status(thm)],[f3061]) ).
fof(f3064,plain,
( e0 != op(e3,e2)
| ~ spl0_8 ),
inference(backward_demodulation,[status(thm)],[f472,f92]) ).
fof(f3065,plain,
( ~ spl0_56
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f3064,f627,f471]) ).
fof(f3070,plain,
( e3 != op(e2,e0)
| ~ spl0_3 ),
inference(backward_demodulation,[status(thm)],[f455,f79]) ).
fof(f3071,plain,
( ~ spl0_35
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f3070,f558,f454]) ).
fof(f3075,plain,
( e1 != op(e3,e3)
| ~ spl0_3
| spl0_77 ),
inference(backward_demodulation,[status(thm)],[f455,f2960]) ).
fof(f3076,plain,
( ~ spl0_61
| ~ spl0_3
| spl0_77 ),
inference(split_clause,[status(thm)],[f3075,f643,f454,f743]) ).
fof(f3078,plain,
( e3 != op(e1,e0)
| ~ spl0_3 ),
inference(backward_demodulation,[status(thm)],[f455,f78]) ).
fof(f3080,plain,
( e2 != op(e1,e0)
| ~ spl0_61
| ~ spl0_68
| spl0_73 ),
inference(backward_demodulation,[status(thm)],[f2912,f729]) ).
fof(f3081,plain,
( ~ spl0_18
| ~ spl0_61
| ~ spl0_68
| spl0_73 ),
inference(split_clause,[status(thm)],[f3080,f503,f643,f709,f727]) ).
fof(f3083,plain,
( ~ spl0_25
| ~ spl0_17 ),
inference(split_clause,[status(thm)],[f1298,f526,f500]) ).
fof(f3098,plain,
( ~ spl0_42
| ~ spl0_38 ),
inference(split_clause,[status(thm)],[f1742,f581,f568]) ).
fof(f3155,plain,
( e0 = e3
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f472,f481]) ).
fof(f3156,plain,
( $false
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f3155,f128]) ).
fof(f3157,plain,
( ~ spl0_8
| ~ spl0_11 ),
inference(contradiction_clause,[status(thm)],[f3156]) ).
fof(f3159,plain,
( op(e1,e0) != e2
| ~ spl0_50 ),
inference(backward_demodulation,[status(thm)],[f608,f82]) ).
fof(f3160,plain,
( ~ spl0_18
| ~ spl0_50 ),
inference(split_clause,[status(thm)],[f3159,f503,f607]) ).
fof(f3186,plain,
( ~ spl0_46
| ~ spl0_42 ),
inference(split_clause,[status(thm)],[f2268,f594,f581]) ).
fof(f3217,plain,
( e1 != op(e2,e1)
| ~ spl0_5 ),
inference(backward_demodulation,[status(thm)],[f462,f85]) ).
fof(f3218,plain,
( ~ spl0_37
| ~ spl0_5 ),
inference(split_clause,[status(thm)],[f3217,f565,f461]) ).
fof(f3238,plain,
( ~ spl0_33
| ~ spl0_37 ),
inference(split_clause,[status(thm)],[f1845,f552,f565]) ).
fof(f3253,plain,
( e2 != op(e0,e3)
| ~ spl0_3
| spl0_80 ),
inference(forward_demodulation,[status(thm)],[f455,f756]) ).
fof(f3278,plain,
( e1 = e0
| ~ spl0_5
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f462,f459]) ).
fof(f3279,plain,
( $false
| ~ spl0_5
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f3278,f126]) ).
fof(f3280,plain,
( ~ spl0_5
| ~ spl0_4 ),
inference(contradiction_clause,[status(thm)],[f3279]) ).
fof(f3281,plain,
( ~ spl0_16
| ~ spl0_48 ),
inference(split_clause,[status(thm)],[f2692,f497,f601]) ).
fof(f3285,plain,
( e2 != op(e0,e3)
| ~ spl0_10 ),
inference(backward_demodulation,[status(thm)],[f478,f107]) ).
fof(f3286,plain,
( ~ spl0_14
| ~ spl0_10 ),
inference(split_clause,[status(thm)],[f3285,f490,f477]) ).
fof(f3290,plain,
( ~ spl0_14
| ~ spl0_30 ),
inference(split_clause,[status(thm)],[f2877,f490,f542]) ).
fof(f3295,plain,
( ~ spl0_40
| ~ spl0_36 ),
inference(split_clause,[status(thm)],[f2014,f575,f562]) ).
fof(f3337,plain,
( e3 != op(e2,e0)
| ~ spl0_40
| spl0_67 ),
inference(backward_demodulation,[status(thm)],[f576,f707]) ).
fof(f3338,plain,
( ~ spl0_35
| ~ spl0_40
| spl0_67 ),
inference(split_clause,[status(thm)],[f3337,f558,f575,f705]) ).
fof(f3398,plain,
( e2 = e0
| ~ spl0_14
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f491,f485]) ).
fof(f3399,plain,
( $false
| ~ spl0_14
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f3398,f127]) ).
fof(f3400,plain,
( ~ spl0_14
| ~ spl0_12 ),
inference(contradiction_clause,[status(thm)],[f3399]) ).
fof(f3425,plain,
( op(e2,e3) != e3
| ~ spl0_63 ),
inference(backward_demodulation,[status(thm)],[f650,f101]) ).
fof(f3435,plain,
( e0 != op(e2,e3)
| ~ spl0_40 ),
inference(backward_demodulation,[status(thm)],[f576,f119]) ).
fof(f3436,plain,
( ~ spl0_44
| ~ spl0_40 ),
inference(split_clause,[status(thm)],[f3435,f588,f575]) ).
fof(f3443,plain,
( op(e0,e3) != e1
| ~ spl0_45 ),
inference(backward_demodulation,[status(thm)],[f592,f97]) ).
fof(f3444,plain,
( ~ spl0_13
| ~ spl0_45 ),
inference(split_clause,[status(thm)],[f3443,f487,f591]) ).
fof(f3459,plain,
( ~ spl0_27
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f2926,f532,f545]) ).
fof(f3461,plain,
( ~ spl0_63
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f2922,f649,f545]) ).
fof(f3481,plain,
( ~ spl0_49
| ~ spl0_57 ),
inference(split_clause,[status(thm)],[f2099,f604,f630]) ).
fof(f3486,plain,
( op(e3,e0) != e3
| ~ spl0_63 ),
inference(forward_demodulation,[status(thm)],[f650,f122]) ).
fof(f3489,plain,
( ~ spl0_52
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f1490,f614,f458]) ).
fof(f3520,plain,
( e1 = e0
| ~ spl0_45
| ~ spl0_44 ),
inference(forward_demodulation,[status(thm)],[f592,f589]) ).
fof(f3521,plain,
( $false
| ~ spl0_45
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[status(thm)],[f3520,f126]) ).
fof(f3522,plain,
( ~ spl0_45
| ~ spl0_44 ),
inference(contradiction_clause,[status(thm)],[f3521]) ).
fof(f3523,plain,
( e1 != op(e1,e3)
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f488,f96]) ).
fof(f3524,plain,
( op(e0,e1) != e1
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f488,f106]) ).
fof(f3539,plain,
( ~ spl0_36
| ~ spl0_41
| spl0_81 ),
inference(split_clause,[status(thm)],[f2702,f562,f578,f758]) ).
fof(f3628,plain,
( e1 != op(e3,e2)
| ~ spl0_62
| spl0_72 ),
inference(forward_demodulation,[status(thm)],[f647,f725]) ).
fof(f3675,plain,
( e2 != op(e3,op(e0,e0))
| ~ spl0_3
| spl0_84 ),
inference(forward_demodulation,[status(thm)],[f455,f772]) ).
fof(f3676,plain,
( e2 != op(e3,e3)
| ~ spl0_3
| spl0_84 ),
inference(forward_demodulation,[status(thm)],[f455,f3675]) ).
fof(f3677,plain,
( e2 != e2
| ~ spl0_62
| ~ spl0_3
| spl0_84 ),
inference(forward_demodulation,[status(thm)],[f647,f3676]) ).
fof(f3678,plain,
( $false
| ~ spl0_62
| ~ spl0_3
| spl0_84 ),
inference(trivial_equality_resolution,[status(esa)],[f3677]) ).
fof(f3679,plain,
( ~ spl0_62
| ~ spl0_3
| spl0_84 ),
inference(contradiction_clause,[status(thm)],[f3678]) ).
fof(f3689,plain,
( op(e3,e0) != e1
| ~ spl0_53 ),
inference(backward_demodulation,[status(thm)],[f618,f120]) ).
fof(f3690,plain,
( ~ spl0_49
| ~ spl0_53 ),
inference(split_clause,[status(thm)],[f3689,f604,f617]) ).
fof(f3697,plain,
( e2 != op(e2,e1)
| ~ spl0_6 ),
inference(backward_demodulation,[status(thm)],[f465,f85]) ).
fof(f3698,plain,
( ~ spl0_38
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f3697,f568,f464]) ).
fof(f3703,plain,
( ~ spl0_56
| ~ spl0_62
| spl0_79 ),
inference(split_clause,[status(thm)],[f3052,f627,f646,f750]) ).
fof(f3713,plain,
( e3 != op(e2,e1)
| ~ spl0_41
| spl0_67 ),
inference(forward_demodulation,[status(thm)],[f579,f707]) ).
fof(f3715,plain,
( e1 = e3
| ~ spl0_53
| ~ spl0_55 ),
inference(forward_demodulation,[status(thm)],[f618,f624]) ).
fof(f3716,plain,
( $false
| ~ spl0_53
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[status(thm)],[f3715,f130]) ).
fof(f3717,plain,
( ~ spl0_53
| ~ spl0_55 ),
inference(contradiction_clause,[status(thm)],[f3716]) ).
fof(f3721,plain,
( ~ spl0_58
| ~ spl0_62 ),
inference(split_clause,[status(thm)],[f1804,f633,f646]) ).
fof(f3725,plain,
( ~ spl0_22
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f2342,f516,f464]) ).
fof(f3744,plain,
( ~ spl0_19
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f3078,f506,f454]) ).
fof(f3749,plain,
( e1 = op(e0,e3)
| ~ spl0_3
| ~ spl0_85 ),
inference(forward_demodulation,[status(thm)],[f455,f776]) ).
fof(f3750,plain,
( e2 != op(e1,e3)
| ~ spl0_41
| ~ spl0_88
| spl0_73 ),
inference(backward_demodulation,[status(thm)],[f2707,f729]) ).
fof(f3751,plain,
( ~ spl0_30
| ~ spl0_41
| ~ spl0_88
| spl0_73 ),
inference(split_clause,[status(thm)],[f3750,f542,f578,f787,f727]) ).
fof(f3756,plain,
( ~ spl0_29
| ~ spl0_13 ),
inference(split_clause,[status(thm)],[f3523,f539,f487]) ).
fof(f3819,plain,
( $false
| ~ spl0_41
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[status(thm)],[f553,f1988]) ).
fof(f3820,plain,
( ~ spl0_41
| ~ spl0_33 ),
inference(contradiction_clause,[status(thm)],[f3819]) ).
fof(f3824,plain,
( op(e0,e1) != e1
| ~ spl0_3
| ~ spl0_85 ),
inference(forward_demodulation,[status(thm)],[f3749,f106]) ).
fof(f3825,plain,
( ~ spl0_5
| ~ spl0_13 ),
inference(split_clause,[status(thm)],[f3524,f461,f487]) ).
fof(f3834,plain,
( ~ spl0_44
| ~ spl0_32 ),
inference(split_clause,[status(thm)],[f1468,f588,f549]) ).
fof(f3856,plain,
( ~ spl0_39
| ~ spl0_41
| spl0_67 ),
inference(split_clause,[status(thm)],[f3713,f571,f578,f705]) ).
fof(f3857,plain,
( $false
| ~ spl0_3
| ~ spl0_85
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f462,f3824]) ).
fof(f3858,plain,
( ~ spl0_3
| ~ spl0_85
| ~ spl0_5 ),
inference(contradiction_clause,[status(thm)],[f3857]) ).
fof(f3874,plain,
( ~ spl0_51
| ~ spl0_63 ),
inference(split_clause,[status(thm)],[f3486,f610,f649]) ).
fof(f3875,plain,
( ~ spl0_47
| ~ spl0_63 ),
inference(split_clause,[status(thm)],[f3425,f597,f649]) ).
fof(f3886,plain,
( ~ spl0_7
| ~ spl0_1
| spl0_78 ),
inference(split_clause,[status(thm)],[f1951,f467,f448,f746]) ).
fof(f3914,plain,
( ~ spl0_57
| ~ spl0_62
| spl0_72 ),
inference(split_clause,[status(thm)],[f3628,f630,f646,f723]) ).
fof(f4019,plain,
( ~ spl0_14
| ~ spl0_3
| spl0_80 ),
inference(split_clause,[status(thm)],[f3253,f490,f454,f754]) ).
fof(f4032,plain,
( e1 != op(e3,e3)
| ~ spl0_43
| spl0_75 ),
inference(backward_demodulation,[status(thm)],[f585,f2458]) ).
fof(f4033,plain,
( ~ spl0_61
| ~ spl0_43
| spl0_75 ),
inference(split_clause,[status(thm)],[f4032,f643,f584,f735]) ).
fof(f4119,plain,
( e1 != op(e1,e1)
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f462,f84]) ).
fof(f4176,plain,
( e3 != op(e0,e0)
| ~ spl0_20
| spl0_87 ),
inference(backward_demodulation,[status(thm)],[f511,f1615]) ).
fof(f4177,plain,
( ~ spl0_3
| ~ spl0_20
| spl0_87 ),
inference(split_clause,[status(thm)],[f4176,f454,f510,f783]) ).
fof(f4178,plain,
( e3 != op(op(e1,e1),e0)
| ~ spl0_20
| spl0_87 ),
inference(backward_demodulation,[status(thm)],[f511,f785]) ).
fof(f4179,plain,
( e3 != op(e0,e0)
| ~ spl0_61
| ~ spl0_68
| ~ spl0_20
| spl0_87 ),
inference(forward_demodulation,[status(thm)],[f2912,f4178]) ).
fof(f4181,plain,
( $false
| ~ spl0_61
| ~ spl0_68
| ~ spl0_20
| spl0_87
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f455,f4179]) ).
fof(f4182,plain,
( ~ spl0_61
| ~ spl0_68
| ~ spl0_20
| spl0_87
| ~ spl0_3 ),
inference(contradiction_clause,[status(thm)],[f4181]) ).
fof(f4204,plain,
( ~ spl0_60
| ~ spl0_28 ),
inference(split_clause,[status(thm)],[f2434,f640,f536]) ).
fof(f4212,plain,
( e2 = e0
| ~ spl0_58
| ~ spl0_56 ),
inference(forward_demodulation,[status(thm)],[f634,f628]) ).
fof(f4213,plain,
( $false
| ~ spl0_58
| ~ spl0_56 ),
inference(forward_subsumption_resolution,[status(thm)],[f4212,f127]) ).
fof(f4214,plain,
( ~ spl0_58
| ~ spl0_56 ),
inference(contradiction_clause,[status(thm)],[f4213]) ).
fof(f4224,plain,
( ~ spl0_45
| ~ spl0_33 ),
inference(split_clause,[status(thm)],[f1599,f591,f552]) ).
fof(f4257,plain,
( ~ spl0_21
| ~ spl0_5 ),
inference(split_clause,[status(thm)],[f4119,f513,f461]) ).
fof(f4288,plain,
( e2 = e0
| ~ spl0_38
| ~ spl0_36 ),
inference(forward_demodulation,[status(thm)],[f569,f563]) ).
fof(f4289,plain,
( $false
| ~ spl0_38
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[status(thm)],[f4288,f127]) ).
fof(f4290,plain,
( ~ spl0_38
| ~ spl0_36 ),
inference(contradiction_clause,[status(thm)],[f4289]) ).
fof(f4293,plain,
( e0 != op(op(e2,e2),e3)
| ~ spl0_43
| spl0_66 ),
inference(backward_demodulation,[status(thm)],[f585,f704]) ).
fof(f4301,plain,
( e0 != op(e1,e3)
| ~ spl0_24 ),
inference(backward_demodulation,[status(thm)],[f524,f113]) ).
fof(f4302,plain,
( ~ spl0_28
| ~ spl0_24 ),
inference(split_clause,[status(thm)],[f4301,f536,f523]) ).
fof(f4359,plain,
( e2 = e1
| ~ spl0_18
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f504,f501]) ).
fof(f4360,plain,
( $false
| ~ spl0_18
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[status(thm)],[f4359,f129]) ).
fof(f4361,plain,
( ~ spl0_18
| ~ spl0_17 ),
inference(contradiction_clause,[status(thm)],[f4360]) ).
fof(f4374,plain,
( e1 != op(e0,e3)
| ~ spl0_9 ),
inference(backward_demodulation,[status(thm)],[f475,f107]) ).
fof(f4375,plain,
( ~ spl0_13
| ~ spl0_9 ),
inference(split_clause,[status(thm)],[f4374,f487,f474]) ).
fof(f4377,plain,
( e1 != op(e2,e2)
| ~ spl0_9 ),
inference(backward_demodulation,[status(thm)],[f475,f91]) ).
fof(f4419,plain,
( e1 = op(e0,e0)
| ~ spl0_0
| ~ spl0_85 ),
inference(forward_demodulation,[status(thm)],[f446,f776]) ).
fof(f4420,plain,
( e1 = e0
| ~ spl0_0
| ~ spl0_85 ),
inference(forward_demodulation,[status(thm)],[f446,f4419]) ).
fof(f4421,plain,
( $false
| ~ spl0_0
| ~ spl0_85 ),
inference(forward_subsumption_resolution,[status(thm)],[f4420,f126]) ).
fof(f4422,plain,
( ~ spl0_0
| ~ spl0_85 ),
inference(contradiction_clause,[status(thm)],[f4421]) ).
fof(f4456,plain,
( e0 != op(e3,e3)
| ~ spl0_43
| spl0_66 ),
inference(backward_demodulation,[status(thm)],[f585,f4293]) ).
fof(f4460,plain,
( e1 = op(e2,op(e0,e0))
| ~ spl0_2
| ~ spl0_77 ),
inference(forward_demodulation,[status(thm)],[f452,f744]) ).
fof(f4461,plain,
( e1 = op(e2,e2)
| ~ spl0_2
| ~ spl0_77 ),
inference(forward_demodulation,[status(thm)],[f452,f4460]) ).
fof(f4474,plain,
( op(e2,e2) != e1
| ~ spl0_57 ),
inference(backward_demodulation,[status(thm)],[f631,f95]) ).
fof(f4475,plain,
( ~ spl0_41
| ~ spl0_57 ),
inference(split_clause,[status(thm)],[f4474,f578,f630]) ).
fof(f4490,plain,
( e3 = op(e2,op(e0,e0))
| ~ spl0_2
| ~ spl0_89 ),
inference(forward_demodulation,[status(thm)],[f452,f792]) ).
fof(f4491,plain,
( e3 = op(e2,e2)
| ~ spl0_2
| ~ spl0_89 ),
inference(forward_demodulation,[status(thm)],[f452,f4490]) ).
fof(f4492,plain,
( e3 = e1
| ~ spl0_77
| ~ spl0_2
| ~ spl0_89 ),
inference(forward_demodulation,[status(thm)],[f4461,f4491]) ).
fof(f4493,plain,
( $false
| ~ spl0_77
| ~ spl0_2
| ~ spl0_89 ),
inference(forward_subsumption_resolution,[status(thm)],[f4492,f130]) ).
fof(f4494,plain,
( ~ spl0_77
| ~ spl0_2
| ~ spl0_89 ),
inference(contradiction_clause,[status(thm)],[f4493]) ).
fof(f4582,plain,
( e1 != op(e3,e2)
| ~ spl0_53 ),
inference(forward_demodulation,[status(thm)],[f618,f123]) ).
fof(f4701,plain,
( ~ spl0_60
| ~ spl0_43
| spl0_66 ),
inference(split_clause,[status(thm)],[f4456,f640,f584,f702]) ).
fof(f4721,plain,
( ~ spl0_0
| ~ spl0_32 ),
inference(split_clause,[status(thm)],[f1073,f445,f549]) ).
fof(f4798,plain,
( e1 = e2
| ~ spl0_49
| ~ spl0_50 ),
inference(forward_demodulation,[status(thm)],[f605,f608]) ).
fof(f4799,plain,
( $false
| ~ spl0_49
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[status(thm)],[f4798,f129]) ).
fof(f4800,plain,
( ~ spl0_49
| ~ spl0_50 ),
inference(contradiction_clause,[status(thm)],[f4799]) ).
fof(f4810,plain,
( ~ spl0_53
| ~ spl0_37 ),
inference(split_clause,[status(thm)],[f1847,f617,f565]) ).
fof(f4822,plain,
( ~ spl0_57
| ~ spl0_53 ),
inference(split_clause,[status(thm)],[f4582,f630,f617]) ).
fof(f5022,plain,
( e2 != op(e1,e3)
| ~ spl0_23
| spl0_73 ),
inference(forward_demodulation,[status(thm)],[f520,f729]) ).
fof(f5023,plain,
( e2 != e2
| ~ spl0_30
| ~ spl0_23
| spl0_73 ),
inference(forward_demodulation,[status(thm)],[f543,f5022]) ).
fof(f5024,plain,
( $false
| ~ spl0_30
| ~ spl0_23
| spl0_73 ),
inference(trivial_equality_resolution,[status(esa)],[f5023]) ).
fof(f5025,plain,
( ~ spl0_30
| ~ spl0_23
| spl0_73 ),
inference(contradiction_clause,[status(thm)],[f5024]) ).
fof(f5034,plain,
( op(e2,e2) != e1
| ~ spl0_45 ),
inference(backward_demodulation,[status(thm)],[f592,f119]) ).
fof(f5035,plain,
( ~ spl0_41
| ~ spl0_45 ),
inference(split_clause,[status(thm)],[f5034,f578,f591]) ).
fof(f5112,plain,
( ~ spl0_41
| ~ spl0_9 ),
inference(split_clause,[status(thm)],[f4377,f578,f474]) ).
fof(f5183,plain,
( e3 = e1
| ~ spl0_43
| ~ spl0_41 ),
inference(forward_demodulation,[status(thm)],[f585,f579]) ).
fof(f5184,plain,
( $false
| ~ spl0_43
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[status(thm)],[f5183,f130]) ).
fof(f5185,plain,
( ~ spl0_43
| ~ spl0_41 ),
inference(contradiction_clause,[status(thm)],[f5184]) ).
fof(f5186,plain,
$false,
inference(sat_refutation,[status(thm)],[f457,f470,f483,f496,f509,f522,f535,f548,f561,f574,f587,f600,f613,f626,f639,f652,f653,f654,f655,f656,f657,f658,f659,f660,f661,f662,f663,f664,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f682,f683,f684,f688,f689,f690,f691,f696,f698,f699,f700,f701,f708,f715,f726,f730,f734,f738,f742,f749,f753,f757,f761,f765,f769,f773,f774,f778,f782,f786,f790,f794,f795,f796,f797,f801,f802,f803,f805,f809,f810,f811,f812,f813,f818,f819,f821,f822,f826,f827,f828,f829,f830,f831,f835,f837,f838,f839,f843,f844,f845,f846,f847,f852,f853,f854,f855,f860,f861,f862,f863,f864,f865,f869,f870,f871,f873,f877,f880,f881,f886,f887,f889,f890,f894,f895,f896,f897,f898,f899,f903,f905,f906,f907,f911,f912,f913,f914,f915,f916,f920,f921,f922,f923,f928,f929,f930,f931,f932,f933,f937,f938,f939,f941,f945,f946,f947,f949,f950,f954,f955,f957,f958,f962,f964,f965,f966,f967,f971,f973,f974,f975,f979,f980,f981,f983,f984,f988,f989,f990,f991,f996,f997,f999,f1000,f1001,f1005,f1006,f1007,f1009,f1013,f1014,f1016,f1017,f1018,f1022,f1023,f1025,f1026,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1038,f1039,f1040,f1041,f1043,f1044,f1045,f1046,f1049,f1052,f1055,f1058,f1061,f1064,f1067,f1082,f1085,f1091,f1098,f1111,f1118,f1120,f1131,f1145,f1158,f1161,f1165,f1172,f1175,f1176,f1180,f1182,f1183,f1197,f1203,f1207,f1219,f1221,f1223,f1231,f1233,f1236,f1243,f1245,f1247,f1249,f1253,f1258,f1274,f1276,f1280,f1281,f1284,f1294,f1302,f1311,f1317,f1328,f1331,f1337,f1338,f1341,f1343,f1346,f1353,f1359,f1365,f1373,f1382,f1383,f1390,f1393,f1401,f1409,f1410,f1414,f1429,f1432,f1449,f1454,f1458,f1459,f1467,f1472,f1493,f1498,f1519,f1528,f1531,f1562,f1563,f1572,f1614,f1619,f1623,f1626,f1628,f1631,f1633,f1640,f1648,f1650,f1654,f1677,f1681,f1685,f1689,f1690,f1691,f1692,f1708,f1713,f1720,f1733,f1749,f1762,f1763,f1766,f1782,f1787,f1808,f1809,f1813,f1826,f1833,f1839,f1840,f1841,f1848,f1869,f1870,f1891,f1898,f1902,f1909,f1914,f1927,f1932,f1942,f1944,f1957,f1960,f1966,f1968,f1972,f1986,f2005,f2007,f2011,f2013,f2028,f2039,f2042,f2044,f2051,f2077,f2093,f2102,f2108,f2110,f2115,f2134,f2170,f2173,f2192,f2199,f2204,f2240,f2245,f2254,f2265,f2278,f2287,f2293,f2299,f2301,f2302,f2315,f2319,f2325,f2360,f2362,f2370,f2398,f2443,f2546,f2579,f2582,f2591,f2667,f2698,f2701,f2710,f2766,f2781,f2787,f2791,f2884,f2893,f2906,f2938,f2962,f2984,f3062,f3065,f3071,f3076,f3081,f3083,f3098,f3157,f3160,f3186,f3218,f3238,f3280,f3281,f3286,f3290,f3295,f3338,f3400,f3436,f3444,f3459,f3461,f3481,f3489,f3522,f3539,f3679,f3690,f3698,f3703,f3717,f3721,f3725,f3744,f3751,f3756,f3820,f3825,f3834,f3856,f3858,f3874,f3875,f3886,f3914,f4019,f4033,f4177,f4182,f4204,f4214,f4224,f4257,f4290,f4302,f4361,f4375,f4422,f4475,f4494,f4701,f4721,f4800,f4810,f4822,f5025,f5035,f5112,f5185]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : ALG153+1 : TPTP v8.1.2. Released v2.7.0.
% 0.02/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.30 % Computer : n028.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Mon Apr 29 23:53:44 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.15/0.32 % Drodi V3.6.0
% 3.98/0.86 % Refutation found
% 3.98/0.86 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.98/0.86 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.98/0.88 % Elapsed time: 0.567424 seconds
% 3.98/0.88 % CPU time: 4.215488 seconds
% 3.98/0.88 % Total memory used: 38.178 MB
% 3.98/0.88 % Net memory used: 36.865 MB
%------------------------------------------------------------------------------