TSTP Solution File: ALG060+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG060+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.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 20:09:22 EDT 2024
% Result : Theorem 2.51s 0.71s
% Output : CNFRefutation 2.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 272
% Syntax : Number of formulae : 1395 ( 174 unt; 0 def)
% Number of atoms : 7596 (5458 equ)
% Maximal formula atoms : 250 ( 5 avg)
% Number of connectives : 9806 (3605 ~;3043 |;2893 &)
% ( 217 <=>; 48 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 267 ( 265 usr; 266 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 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,e0) = e4 )
& ( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4 )
& ( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4 )
& ( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 )
& ( op(e0,e4) = e0
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 )
& ( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = e4 )
& ( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3
| op(e1,e1) = e4 )
& ( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3
| op(e1,e2) = e4 )
& ( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3
| op(e1,e3) = e4 )
& ( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4 )
& ( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3
| op(e2,e0) = e4 )
& ( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 )
& ( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3
| op(e2,e2) = e4 )
& ( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3
| op(e2,e3) = e4 )
& ( op(e2,e4) = e0
| op(e2,e4) = e1
| op(e2,e4) = e2
| op(e2,e4) = e3
| op(e2,e4) = e4 )
& ( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 )
& ( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4 )
& ( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 )
& ( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3
| op(e3,e3) = e4 )
& ( op(e3,e4) = e0
| op(e3,e4) = e1
| op(e3,e4) = e2
| op(e3,e4) = e3
| op(e3,e4) = e4 )
& ( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 )
& ( op(e4,e1) = e0
| op(e4,e1) = e1
| op(e4,e1) = e2
| op(e4,e1) = e3
| op(e4,e1) = e4 )
& ( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3
| op(e4,e2) = e4 )
& ( op(e4,e3) = e0
| op(e4,e3) = e1
| op(e4,e3) = e2
| op(e4,e3) = e3
| op(e4,e3) = e4 )
& ( op(e4,e4) = e0
| op(e4,e4) = e1
| op(e4,e4) = e2
| op(e4,e4) = e3
| op(e4,e4) = e4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
( op(unit,e0) = e0
& op(e0,unit) = e0
& op(unit,e1) = e1
& op(e1,unit) = e1
& op(unit,e2) = e2
& op(e2,unit) = e2
& op(unit,e3) = e3
& op(e3,unit) = e3
& op(unit,e4) = e4
& op(e4,unit) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
( ( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0
| op(e0,e4) = e0 )
& ( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0
| op(e4,e0) = e0 )
& ( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e4) = e1 )
& ( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e4,e0) = e1 )
& ( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2
| op(e0,e4) = e2 )
& ( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2
| op(e4,e0) = e2 )
& ( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3
| op(e0,e4) = e3 )
& ( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3
| op(e4,e0) = e3 )
& ( op(e0,e0) = e4
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e3) = e4
| op(e0,e4) = e4 )
& ( op(e0,e0) = e4
| op(e1,e0) = e4
| op(e2,e0) = e4
| op(e3,e0) = e4
| op(e4,e0) = e4 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e4) = e0 )
& ( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e1) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1
| op(e1,e4) = e1 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e4,e1) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2
| op(e1,e4) = e2 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 )
& ( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4
| op(e1,e4) = e4 )
& ( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2
| op(e2,e4) = e2 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3
| op(e2,e4) = e3 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 )
& ( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 )
& ( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e4) = e0 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1
| op(e3,e4) = e1 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e4,e3) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2
| op(e3,e4) = e2 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3
| op(e3,e4) = e3 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3
| op(e4,e3) = e3 )
& ( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e3) = e4
| op(e3,e4) = e4 )
& ( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4
| op(e4,e3) = e4 )
& ( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e4) = e0
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 )
& ( op(e4,e0) = e1
| op(e4,e1) = e1
| op(e4,e2) = e1
| op(e4,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 )
& ( op(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e4) = e2
| op(e1,e4) = e2
| op(e2,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 )
& ( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 )
& ( op(e4,e0) = e4
| op(e4,e1) = e4
| op(e4,e2) = e4
| op(e4,e3) = e4
| op(e4,e4) = e4 )
& ( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4
| op(e4,e4) = e4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e2,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e3,e0) != op(e4,e0)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e4,e1)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e3,e1) != op(e4,e1)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e4,e2)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e3,e2) != op(e4,e2)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e4,e3)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e3,e3) != op(e4,e3)
& op(e0,e4) != op(e1,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e4,e4)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,e4)
& op(e3,e4) != op(e4,e4)
& op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e4)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& op(e0,e3) != op(e0,e4)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e3) != op(e1,e4)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e4)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e3) != op(e2,e4)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e4)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e3) != op(e3,e4)
& op(e4,e0) != op(e4,e1)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e4)
& op(e4,e1) != op(e4,e2)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e2) != op(e4,e4)
& op(e4,e3) != op(e4,e4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
( e0 = op(op(e4,e4),e4)
& e1 = op(e4,e4)
& e2 = op(op(e4,op(e4,e4)),e4)
& e3 = op(e4,op(e4,e4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,conjecture,
~ ( ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) )
& ( ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
| ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
| ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
| ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
| ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
| ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
| ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
| ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
| ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
| ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
| ( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4
& op(op(e4,e0),e4) != e0 )
| ( op(e1,e4) != op(e4,e1)
& op(op(e4,e1),e1) = e4
& op(op(e4,e1),e4) != e1 )
| ( op(e2,e4) != op(e4,e2)
& op(op(e4,e2),e2) = e4
& op(op(e4,e2),e4) != e2 )
| ( op(e3,e4) != op(e4,e3)
& op(op(e4,e3),e3) = e4
& op(op(e4,e3),e4) != e3 )
| ( op(e4,e4) != op(e4,e4)
& op(op(e4,e4),e4) = e4
& op(op(e4,e4),e4) != e4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
~ ~ ( ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) )
& ( ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
| ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
| ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
| ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
| ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
| ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
| ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
| ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
| ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
| ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
| ( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4
& op(op(e4,e0),e4) != e0 )
| ( op(e1,e4) != op(e4,e1)
& op(op(e4,e1),e1) = e4
& op(op(e4,e1),e4) != e1 )
| ( op(e2,e4) != op(e4,e2)
& op(op(e4,e2),e2) = e4
& op(op(e4,e2),e4) != e2 )
| ( op(e3,e4) != op(e4,e3)
& op(op(e4,e3),e3) = e4
& op(op(e4,e3),e4) != e3 )
| ( op(e4,e4) != op(e4,e4)
& op(op(e4,e4),e4) = e4
& op(op(e4,e4),e4) != e4 ) ) ),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f9,plain,
( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e0) = e4 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f10,plain,
( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f12,plain,
( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f17,plain,
( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3
| op(e1,e3) = e4 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f18,plain,
( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f22,plain,
( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3
| op(e2,e3) = e4 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f24,plain,
( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f25,plain,
( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f26,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f27,plain,
( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3
| op(e3,e3) = e4 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f29,plain,
( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f31,plain,
( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3
| op(e4,e2) = e4 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f32,plain,
( op(e4,e3) = e0
| op(e4,e3) = e1
| op(e4,e3) = e2
| op(e4,e3) = e3
| op(e4,e3) = e4 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f33,plain,
( op(e4,e4) = e0
| op(e4,e4) = e1
| op(e4,e4) = e2
| op(e4,e4) = e3
| op(e4,e4) = e4 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f34,plain,
op(unit,e0) = e0,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f35,plain,
op(e0,unit) = e0,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f36,plain,
op(unit,e1) = e1,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f37,plain,
op(e1,unit) = e1,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f38,plain,
op(unit,e2) = e2,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f39,plain,
op(e2,unit) = e2,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f40,plain,
op(unit,e3) = e3,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f41,plain,
op(e3,unit) = e3,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f42,plain,
op(unit,e4) = e4,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f43,plain,
op(e4,unit) = e4,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f44,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f48,plain,
( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e4,e0) = e1 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f52,plain,
( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3
| op(e4,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f56,plain,
( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e1) = e0 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f60,plain,
( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f61,plain,
( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f63,plain,
( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4
| op(e1,e4) = e4 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f64,plain,
( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f65,plain,
( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f67,plain,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f72,plain,
( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f73,plain,
( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f74,plain,
( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f77,plain,
( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1
| op(e3,e4) = e1 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f78,plain,
( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e4,e3) = e1 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f80,plain,
( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f85,plain,
( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f91,plain,
( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f92,plain,
( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f97,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f98,plain,
op(e0,e0) != op(e4,e0),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f100,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f101,plain,
op(e1,e0) != op(e4,e0),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f103,plain,
op(e2,e0) != op(e4,e0),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f106,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f107,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f108,plain,
op(e0,e1) != op(e4,e1),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f109,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f110,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f111,plain,
op(e1,e1) != op(e4,e1),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f112,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f113,plain,
op(e2,e1) != op(e4,e1),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f114,plain,
op(e3,e1) != op(e4,e1),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f116,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f118,plain,
op(e0,e2) != op(e4,e2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f119,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f120,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f121,plain,
op(e1,e2) != op(e4,e2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f122,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f123,plain,
op(e2,e2) != op(e4,e2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f124,plain,
op(e3,e2) != op(e4,e2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f125,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f128,plain,
op(e0,e3) != op(e4,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f129,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f131,plain,
op(e1,e3) != op(e4,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f132,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f133,plain,
op(e2,e3) != op(e4,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f134,plain,
op(e3,e3) != op(e4,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f135,plain,
op(e0,e4) != op(e1,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f136,plain,
op(e0,e4) != op(e2,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f137,plain,
op(e0,e4) != op(e3,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f138,plain,
op(e0,e4) != op(e4,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f142,plain,
op(e2,e4) != op(e3,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f143,plain,
op(e2,e4) != op(e4,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f144,plain,
op(e3,e4) != op(e4,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f145,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f146,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f147,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f148,plain,
op(e0,e0) != op(e0,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f149,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f150,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f151,plain,
op(e0,e1) != op(e0,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f153,plain,
op(e0,e2) != op(e0,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f154,plain,
op(e0,e3) != op(e0,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f157,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f158,plain,
op(e1,e0) != op(e1,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f159,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f160,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f161,plain,
op(e1,e1) != op(e1,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f162,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f163,plain,
op(e1,e2) != op(e1,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f164,plain,
op(e1,e3) != op(e1,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f165,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f166,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f167,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f169,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f171,plain,
op(e2,e1) != op(e2,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f172,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f174,plain,
op(e2,e3) != op(e2,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f175,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f176,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f177,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f178,plain,
op(e3,e0) != op(e3,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f179,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f180,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f181,plain,
op(e3,e1) != op(e3,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f182,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f183,plain,
op(e3,e2) != op(e3,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f184,plain,
op(e3,e3) != op(e3,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f185,plain,
op(e4,e0) != op(e4,e1),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f186,plain,
op(e4,e0) != op(e4,e2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f187,plain,
op(e4,e0) != op(e4,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f188,plain,
op(e4,e0) != op(e4,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f189,plain,
op(e4,e1) != op(e4,e2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f190,plain,
op(e4,e1) != op(e4,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f192,plain,
op(e4,e2) != op(e4,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f193,plain,
op(e4,e2) != op(e4,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f194,plain,
op(e4,e3) != op(e4,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f195,plain,
e0 != e1,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f196,plain,
e0 != e2,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f197,plain,
e0 != e3,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f198,plain,
e0 != e4,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f199,plain,
e1 != e2,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f200,plain,
e1 != e3,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f201,plain,
e1 != e4,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f202,plain,
e2 != e3,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f203,plain,
e2 != e4,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f204,plain,
e3 != e4,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f205,plain,
e0 = op(op(e4,e4),e4),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f206,plain,
e1 = op(e4,e4),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f207,plain,
e2 = op(op(e4,op(e4,e4)),e4),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f208,plain,
e3 = op(e4,op(e4,e4)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f209,plain,
( pd0_0
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 ) ) ),
introduced(predicate_definition,[f8]) ).
fof(f210,plain,
( pd0_1
=> ( ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
| ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
| ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
| ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
| ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
| ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
| ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
| ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
| ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
| ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
| ( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4
& op(op(e4,e0),e4) != e0 )
| ( op(e1,e4) != op(e4,e1)
& op(op(e4,e1),e1) = e4
& op(op(e4,e1),e4) != e1 )
| ( op(e2,e4) != op(e4,e2)
& op(op(e4,e2),e2) = e4
& op(op(e4,e2),e4) != e2 )
| ( op(e3,e4) != op(e4,e3)
& op(op(e4,e3),e3) = e4
& op(op(e4,e3),e4) != e3 ) ) ),
introduced(predicate_definition,[f8]) ).
fof(f211,plain,
( ( pd0_0
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) )
& ( pd0_1
| ( op(e4,e4) != op(e4,e4)
& op(op(e4,e4),e4) = e4
& op(op(e4,e4),e4) != e4 ) ) ),
inference(formula_renaming,[status(thm)],[f8,f210,f209]) ).
fof(f212,plain,
( pd0_0
| op(e4,e4) = e4 ),
inference(cnf_transformation,[status(esa)],[f211]) ).
fof(f215,plain,
( pd0_1
| op(e4,e4) != op(e4,e4) ),
inference(cnf_transformation,[status(esa)],[f211]) ).
fof(f218,plain,
( ~ pd0_0
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 ) ),
inference(pre_NNF_transformation,[status(esa)],[f209]) ).
fof(f219,plain,
( pd0_2
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 ) ) ),
introduced(predicate_definition,[f218]) ).
fof(f220,plain,
( ~ pd0_0
| pd0_2
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 ) ),
inference(formula_renaming,[status(thm)],[f218,f219]) ).
fof(f221,plain,
( ~ pd0_0
| pd0_2
| op(e4,e4) = e3 ),
inference(cnf_transformation,[status(esa)],[f220]) ).
fof(f224,plain,
( ~ pd0_1
| ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
| ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
| ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
| ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
| ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
| ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
| ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
| ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
| ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
| ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
| ( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4
& op(op(e4,e0),e4) != e0 )
| ( op(e1,e4) != op(e4,e1)
& op(op(e4,e1),e1) = e4
& op(op(e4,e1),e4) != e1 )
| ( op(e2,e4) != op(e4,e2)
& op(op(e4,e2),e2) = e4
& op(op(e4,e2),e4) != e2 )
| ( op(e3,e4) != op(e4,e3)
& op(op(e4,e3),e3) = e4
& op(op(e4,e3),e4) != e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f210]) ).
fof(f225,plain,
( pd0_3
=> ( ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
| ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
| ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
| ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
| ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
| ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
| ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
| ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
| ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
| ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
| ( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4
& op(op(e4,e0),e4) != e0 )
| ( op(e1,e4) != op(e4,e1)
& op(op(e4,e1),e1) = e4
& op(op(e4,e1),e4) != e1 )
| ( op(e2,e4) != op(e4,e2)
& op(op(e4,e2),e2) = e4
& op(op(e4,e2),e4) != e2 ) ) ),
introduced(predicate_definition,[f224]) ).
fof(f226,plain,
( ~ pd0_1
| pd0_3
| ( op(e3,e4) != op(e4,e3)
& op(op(e4,e3),e3) = e4
& op(op(e4,e3),e4) != e3 ) ),
inference(formula_renaming,[status(thm)],[f224,f225]) ).
fof(f227,plain,
( ~ pd0_1
| pd0_3
| op(e3,e4) != op(e4,e3) ),
inference(cnf_transformation,[status(esa)],[f226]) ).
fof(f229,plain,
( ~ pd0_1
| pd0_3
| op(op(e4,e3),e4) != e3 ),
inference(cnf_transformation,[status(esa)],[f226]) ).
fof(f230,plain,
( ~ pd0_2
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 ) ),
inference(pre_NNF_transformation,[status(esa)],[f219]) ).
fof(f231,plain,
( pd0_4
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 ) ) ),
introduced(predicate_definition,[f230]) ).
fof(f232,plain,
( ~ pd0_2
| pd0_4
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 ) ),
inference(formula_renaming,[status(thm)],[f230,f231]) ).
fof(f233,plain,
( ~ pd0_2
| pd0_4
| op(e4,e4) = e2 ),
inference(cnf_transformation,[status(esa)],[f232]) ).
fof(f236,plain,
( ~ pd0_3
| ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
| ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
| ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
| ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
| ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
| ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
| ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
| ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
| ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
| ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
| ( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4
& op(op(e4,e0),e4) != e0 )
| ( op(e1,e4) != op(e4,e1)
& op(op(e4,e1),e1) = e4
& op(op(e4,e1),e4) != e1 )
| ( op(e2,e4) != op(e4,e2)
& op(op(e4,e2),e2) = e4
& op(op(e4,e2),e4) != e2 ) ),
inference(pre_NNF_transformation,[status(esa)],[f225]) ).
fof(f237,plain,
( pd0_5
=> ( ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
| ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
| ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
| ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
| ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
| ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
| ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
| ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
| ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
| ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
| ( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4
& op(op(e4,e0),e4) != e0 )
| ( op(e1,e4) != op(e4,e1)
& op(op(e4,e1),e1) = e4
& op(op(e4,e1),e4) != e1 ) ) ),
introduced(predicate_definition,[f236]) ).
fof(f238,plain,
( ~ pd0_3
| pd0_5
| ( op(e2,e4) != op(e4,e2)
& op(op(e4,e2),e2) = e4
& op(op(e4,e2),e4) != e2 ) ),
inference(formula_renaming,[status(thm)],[f236,f237]) ).
fof(f239,plain,
( ~ pd0_3
| pd0_5
| op(e2,e4) != op(e4,e2) ),
inference(cnf_transformation,[status(esa)],[f238]) ).
fof(f240,plain,
( ~ pd0_3
| pd0_5
| op(op(e4,e2),e2) = e4 ),
inference(cnf_transformation,[status(esa)],[f238]) ).
fof(f242,plain,
( ~ pd0_4
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 ) ),
inference(pre_NNF_transformation,[status(esa)],[f231]) ).
fof(f243,plain,
( pd0_6
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 ) ) ),
introduced(predicate_definition,[f242]) ).
fof(f244,plain,
( ~ pd0_4
| pd0_6
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 ) ),
inference(formula_renaming,[status(thm)],[f242,f243]) ).
fof(f246,plain,
( ~ pd0_4
| pd0_6
| op(e1,e1) = e4 ),
inference(cnf_transformation,[status(esa)],[f244]) ).
fof(f248,plain,
( ~ pd0_5
| ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
| ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
| ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
| ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
| ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
| ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
| ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
| ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
| ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
| ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
| ( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4
& op(op(e4,e0),e4) != e0 )
| ( op(e1,e4) != op(e4,e1)
& op(op(e4,e1),e1) = e4
& op(op(e4,e1),e4) != e1 ) ),
inference(pre_NNF_transformation,[status(esa)],[f237]) ).
fof(f249,plain,
( pd0_7
=> ( ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
| ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
| ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
| ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
| ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
| ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
| ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
| ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
| ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
| ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
| ( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4
& op(op(e4,e0),e4) != e0 ) ) ),
introduced(predicate_definition,[f248]) ).
fof(f250,plain,
( ~ pd0_5
| pd0_7
| ( op(e1,e4) != op(e4,e1)
& op(op(e4,e1),e1) = e4
& op(op(e4,e1),e4) != e1 ) ),
inference(formula_renaming,[status(thm)],[f248,f249]) ).
fof(f251,plain,
( ~ pd0_5
| pd0_7
| op(e1,e4) != op(e4,e1) ),
inference(cnf_transformation,[status(esa)],[f250]) ).
fof(f252,plain,
( ~ pd0_5
| pd0_7
| op(op(e4,e1),e1) = e4 ),
inference(cnf_transformation,[status(esa)],[f250]) ).
fof(f254,plain,
( ~ pd0_6
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 ) ),
inference(pre_NNF_transformation,[status(esa)],[f243]) ).
fof(f255,plain,
( pd0_8
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 ) ) ),
introduced(predicate_definition,[f254]) ).
fof(f256,plain,
( ~ pd0_6
| pd0_8
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 ) ),
inference(formula_renaming,[status(thm)],[f254,f255]) ).
fof(f257,plain,
( ~ pd0_6
| pd0_8
| op(e4,e4) = e0 ),
inference(cnf_transformation,[status(esa)],[f256]) ).
fof(f260,plain,
( ~ pd0_7
| ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
| ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
| ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
| ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
| ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
| ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
| ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
| ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
| ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
| ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
| ( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4
& op(op(e4,e0),e4) != e0 ) ),
inference(pre_NNF_transformation,[status(esa)],[f249]) ).
fof(f261,plain,
( pd0_9
=> ( ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
| ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
| ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
| ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
| ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
| ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
| ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
| ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
| ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
| ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 ) ) ),
introduced(predicate_definition,[f260]) ).
fof(f262,plain,
( ~ pd0_7
| pd0_9
| ( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4
& op(op(e4,e0),e4) != e0 ) ),
inference(formula_renaming,[status(thm)],[f260,f261]) ).
fof(f263,plain,
( ~ pd0_7
| pd0_9
| op(e0,e4) != op(e4,e0) ),
inference(cnf_transformation,[status(esa)],[f262]) ).
fof(f264,plain,
( ~ pd0_7
| pd0_9
| op(op(e4,e0),e0) = e4 ),
inference(cnf_transformation,[status(esa)],[f262]) ).
fof(f266,plain,
( ~ pd0_8
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f255]) ).
fof(f267,plain,
( pd0_10
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 ) ) ),
introduced(predicate_definition,[f266]) ).
fof(f268,plain,
( ~ pd0_8
| pd0_10
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 ) ),
inference(formula_renaming,[status(thm)],[f266,f267]) ).
fof(f269,plain,
( ~ pd0_8
| pd0_10
| op(e3,e3) = e4 ),
inference(cnf_transformation,[status(esa)],[f268]) ).
fof(f270,plain,
( ~ pd0_8
| pd0_10
| op(e4,e4) = e3 ),
inference(cnf_transformation,[status(esa)],[f268]) ).
fof(f272,plain,
( ~ pd0_9
| ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
| ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
| ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
| ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
| ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
| ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
| ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
| ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
| ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
| ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 ) ),
inference(pre_NNF_transformation,[status(esa)],[f261]) ).
fof(f273,plain,
( pd0_11
=> ( ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
| ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
| ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
| ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
| ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
| ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
| ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
| ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
| ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 ) ) ),
introduced(predicate_definition,[f272]) ).
fof(f274,plain,
( ~ pd0_9
| pd0_11
| ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 ) ),
inference(formula_renaming,[status(thm)],[f272,f273]) ).
fof(f275,plain,
( ~ pd0_9
| pd0_11
| op(e4,e3) != op(e3,e4) ),
inference(cnf_transformation,[status(esa)],[f274]) ).
fof(f276,plain,
( ~ pd0_9
| pd0_11
| op(op(e3,e4),e4) = e3 ),
inference(cnf_transformation,[status(esa)],[f274]) ).
fof(f278,plain,
( ~ pd0_10
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f267]) ).
fof(f279,plain,
( pd0_12
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 ) ) ),
introduced(predicate_definition,[f278]) ).
fof(f280,plain,
( ~ pd0_10
| pd0_12
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 ) ),
inference(formula_renaming,[status(thm)],[f278,f279]) ).
fof(f281,plain,
( ~ pd0_10
| pd0_12
| op(e3,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f280]) ).
fof(f284,plain,
( ~ pd0_11
| ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
| ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
| ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
| ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
| ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
| ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
| ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
| ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
| ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f273]) ).
fof(f285,plain,
( pd0_13
=> ( ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
| ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
| ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
| ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
| ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
| ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
| ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
| ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 ) ) ),
introduced(predicate_definition,[f284]) ).
fof(f286,plain,
( ~ pd0_11
| pd0_13
| ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 ) ),
inference(formula_renaming,[status(thm)],[f284,f285]) ).
fof(f287,plain,
( ~ pd0_11
| pd0_13
| op(e3,e3) != op(e3,e3) ),
inference(cnf_transformation,[status(esa)],[f286]) ).
fof(f290,plain,
( ~ pd0_12
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f279]) ).
fof(f291,plain,
( pd0_14
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 ) ) ),
introduced(predicate_definition,[f290]) ).
fof(f292,plain,
( ~ pd0_12
| pd0_14
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 ) ),
inference(formula_renaming,[status(thm)],[f290,f291]) ).
fof(f293,plain,
( ~ pd0_12
| pd0_14
| op(e3,e3) = e2 ),
inference(cnf_transformation,[status(esa)],[f292]) ).
fof(f296,plain,
( ~ pd0_13
| ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
| ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
| ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
| ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
| ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
| ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
| ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
| ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 ) ),
inference(pre_NNF_transformation,[status(esa)],[f285]) ).
fof(f297,plain,
( pd0_15
=> ( ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
| ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
| ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
| ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
| ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
| ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
| ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 ) ) ),
introduced(predicate_definition,[f296]) ).
fof(f298,plain,
( ~ pd0_13
| pd0_15
| ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 ) ),
inference(formula_renaming,[status(thm)],[f296,f297]) ).
fof(f299,plain,
( ~ pd0_13
| pd0_15
| op(e2,e3) != op(e3,e2) ),
inference(cnf_transformation,[status(esa)],[f298]) ).
fof(f300,plain,
( ~ pd0_13
| pd0_15
| op(op(e3,e2),e2) = e3 ),
inference(cnf_transformation,[status(esa)],[f298]) ).
fof(f302,plain,
( ~ pd0_14
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f291]) ).
fof(f303,plain,
( pd0_16
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 ) ) ),
introduced(predicate_definition,[f302]) ).
fof(f304,plain,
( ~ pd0_14
| pd0_16
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 ) ),
inference(formula_renaming,[status(thm)],[f302,f303]) ).
fof(f305,plain,
( ~ pd0_14
| pd0_16
| op(e3,e3) = e1 ),
inference(cnf_transformation,[status(esa)],[f304]) ).
fof(f306,plain,
( ~ pd0_14
| pd0_16
| op(e1,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f304]) ).
fof(f308,plain,
( ~ pd0_15
| ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
| ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
| ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
| ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
| ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
| ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
| ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 ) ),
inference(pre_NNF_transformation,[status(esa)],[f297]) ).
fof(f309,plain,
( pd0_17
=> ( ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
| ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
| ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
| ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
| ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
| ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 ) ) ),
introduced(predicate_definition,[f308]) ).
fof(f310,plain,
( ~ pd0_15
| pd0_17
| ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 ) ),
inference(formula_renaming,[status(thm)],[f308,f309]) ).
fof(f311,plain,
( ~ pd0_15
| pd0_17
| op(e1,e3) != op(e3,e1) ),
inference(cnf_transformation,[status(esa)],[f310]) ).
fof(f312,plain,
( ~ pd0_15
| pd0_17
| op(op(e3,e1),e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f310]) ).
fof(f314,plain,
( ~ pd0_16
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f303]) ).
fof(f315,plain,
( pd0_18
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 ) ) ),
introduced(predicate_definition,[f314]) ).
fof(f316,plain,
( ~ pd0_16
| pd0_18
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 ) ),
inference(formula_renaming,[status(thm)],[f314,f315]) ).
fof(f317,plain,
( ~ pd0_16
| pd0_18
| op(e3,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f316]) ).
fof(f318,plain,
( ~ pd0_16
| pd0_18
| op(e0,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f316]) ).
fof(f320,plain,
( ~ pd0_17
| ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
| ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
| ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
| ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
| ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
| ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 ) ),
inference(pre_NNF_transformation,[status(esa)],[f309]) ).
fof(f321,plain,
( pd0_19
=> ( ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
| ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
| ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
| ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
| ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 ) ) ),
introduced(predicate_definition,[f320]) ).
fof(f322,plain,
( ~ pd0_17
| pd0_19
| ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 ) ),
inference(formula_renaming,[status(thm)],[f320,f321]) ).
fof(f323,plain,
( ~ pd0_17
| pd0_19
| op(e0,e3) != op(e3,e0) ),
inference(cnf_transformation,[status(esa)],[f322]) ).
fof(f324,plain,
( ~ pd0_17
| pd0_19
| op(op(e3,e0),e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f322]) ).
fof(f326,plain,
( ~ pd0_18
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 ) ),
inference(pre_NNF_transformation,[status(esa)],[f315]) ).
fof(f327,plain,
( pd0_20
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 ) ) ),
introduced(predicate_definition,[f326]) ).
fof(f328,plain,
( ~ pd0_18
| pd0_20
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 ) ),
inference(formula_renaming,[status(thm)],[f326,f327]) ).
fof(f329,plain,
( ~ pd0_18
| pd0_20
| op(e2,e2) = e4 ),
inference(cnf_transformation,[status(esa)],[f328]) ).
fof(f330,plain,
( ~ pd0_18
| pd0_20
| op(e4,e4) = e2 ),
inference(cnf_transformation,[status(esa)],[f328]) ).
fof(f332,plain,
( ~ pd0_19
| ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
| ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
| ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
| ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
| ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 ) ),
inference(pre_NNF_transformation,[status(esa)],[f321]) ).
fof(f333,plain,
( pd0_21
=> ( ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
| ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
| ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
| ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 ) ) ),
introduced(predicate_definition,[f332]) ).
fof(f334,plain,
( ~ pd0_19
| pd0_21
| ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 ) ),
inference(formula_renaming,[status(thm)],[f332,f333]) ).
fof(f335,plain,
( ~ pd0_19
| pd0_21
| op(e4,e2) != op(e2,e4) ),
inference(cnf_transformation,[status(esa)],[f334]) ).
fof(f336,plain,
( ~ pd0_19
| pd0_21
| op(op(e2,e4),e4) = e2 ),
inference(cnf_transformation,[status(esa)],[f334]) ).
fof(f337,plain,
( ~ pd0_19
| pd0_21
| op(op(e2,e4),e2) != e4 ),
inference(cnf_transformation,[status(esa)],[f334]) ).
fof(f338,plain,
( ~ pd0_20
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 ) ),
inference(pre_NNF_transformation,[status(esa)],[f327]) ).
fof(f339,plain,
( pd0_22
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 ) ) ),
introduced(predicate_definition,[f338]) ).
fof(f340,plain,
( ~ pd0_20
| pd0_22
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 ) ),
inference(formula_renaming,[status(thm)],[f338,f339]) ).
fof(f342,plain,
( ~ pd0_20
| pd0_22
| op(e3,e3) = e2 ),
inference(cnf_transformation,[status(esa)],[f340]) ).
fof(f344,plain,
( ~ pd0_21
| ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
| ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
| ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
| ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f333]) ).
fof(f345,plain,
( pd0_23
=> ( ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
| ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
| ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 ) ) ),
introduced(predicate_definition,[f344]) ).
fof(f346,plain,
( ~ pd0_21
| pd0_23
| ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 ) ),
inference(formula_renaming,[status(thm)],[f344,f345]) ).
fof(f347,plain,
( ~ pd0_21
| pd0_23
| op(e3,e2) != op(e2,e3) ),
inference(cnf_transformation,[status(esa)],[f346]) ).
fof(f348,plain,
( ~ pd0_21
| pd0_23
| op(op(e2,e3),e3) = e2 ),
inference(cnf_transformation,[status(esa)],[f346]) ).
fof(f350,plain,
( ~ pd0_22
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 ) ),
inference(pre_NNF_transformation,[status(esa)],[f339]) ).
fof(f351,plain,
( pd0_24
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 ) ) ),
introduced(predicate_definition,[f350]) ).
fof(f352,plain,
( ~ pd0_22
| pd0_24
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 ) ),
inference(formula_renaming,[status(thm)],[f350,f351]) ).
fof(f353,plain,
( ~ pd0_22
| pd0_24
| op(e2,e2) = e2 ),
inference(cnf_transformation,[status(esa)],[f352]) ).
fof(f355,plain,
( ~ pd0_22
| pd0_24
| op(e2,e2) != e2 ),
inference(cnf_transformation,[status(esa)],[f352]) ).
fof(f356,plain,
( ~ pd0_23
| ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
| ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
| ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 ) ),
inference(pre_NNF_transformation,[status(esa)],[f345]) ).
fof(f357,plain,
( pd0_25
=> ( ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
| ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 ) ) ),
introduced(predicate_definition,[f356]) ).
fof(f358,plain,
( ~ pd0_23
| pd0_25
| ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 ) ),
inference(formula_renaming,[status(thm)],[f356,f357]) ).
fof(f359,plain,
( ~ pd0_23
| pd0_25
| op(e2,e2) != op(e2,e2) ),
inference(cnf_transformation,[status(esa)],[f358]) ).
fof(f362,plain,
( ~ pd0_24
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 ) ),
inference(pre_NNF_transformation,[status(esa)],[f351]) ).
fof(f363,plain,
( pd0_26
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 ) ) ),
introduced(predicate_definition,[f362]) ).
fof(f364,plain,
( ~ pd0_24
| pd0_26
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 ) ),
inference(formula_renaming,[status(thm)],[f362,f363]) ).
fof(f365,plain,
( ~ pd0_24
| pd0_26
| op(e2,e2) = e1 ),
inference(cnf_transformation,[status(esa)],[f364]) ).
fof(f368,plain,
( ~ pd0_25
| ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
| ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 ) ),
inference(pre_NNF_transformation,[status(esa)],[f357]) ).
fof(f369,plain,
( pd0_27
=> ( ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 ) ) ),
introduced(predicate_definition,[f368]) ).
fof(f370,plain,
( ~ pd0_25
| pd0_27
| ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 ) ),
inference(formula_renaming,[status(thm)],[f368,f369]) ).
fof(f371,plain,
( ~ pd0_25
| pd0_27
| op(e1,e2) != op(e2,e1) ),
inference(cnf_transformation,[status(esa)],[f370]) ).
fof(f372,plain,
( ~ pd0_25
| pd0_27
| op(op(e2,e1),e1) = e2 ),
inference(cnf_transformation,[status(esa)],[f370]) ).
fof(f373,plain,
( ~ pd0_25
| pd0_27
| op(op(e2,e1),e2) != e1 ),
inference(cnf_transformation,[status(esa)],[f370]) ).
fof(f374,plain,
( ~ pd0_26
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 ) ),
inference(pre_NNF_transformation,[status(esa)],[f363]) ).
fof(f375,plain,
( pd0_28
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 ) ) ),
introduced(predicate_definition,[f374]) ).
fof(f376,plain,
( ~ pd0_26
| pd0_28
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 ) ),
inference(formula_renaming,[status(thm)],[f374,f375]) ).
fof(f377,plain,
( ~ pd0_26
| pd0_28
| op(e2,e2) = e0 ),
inference(cnf_transformation,[status(esa)],[f376]) ).
fof(f380,plain,
( ~ pd0_27
| ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 ) ),
inference(pre_NNF_transformation,[status(esa)],[f369]) ).
fof(f381,plain,
( pd0_29
=> ( ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 ) ) ),
introduced(predicate_definition,[f380]) ).
fof(f382,plain,
( ~ pd0_27
| pd0_29
| ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 ) ),
inference(formula_renaming,[status(thm)],[f380,f381]) ).
fof(f383,plain,
( ~ pd0_27
| pd0_29
| op(e0,e2) != op(e2,e0) ),
inference(cnf_transformation,[status(esa)],[f382]) ).
fof(f386,plain,
( ~ pd0_28
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 ) ),
inference(pre_NNF_transformation,[status(esa)],[f375]) ).
fof(f387,plain,
( pd0_30
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 ) ) ),
introduced(predicate_definition,[f386]) ).
fof(f388,plain,
( ~ pd0_28
| pd0_30
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 ) ),
inference(formula_renaming,[status(thm)],[f386,f387]) ).
fof(f389,plain,
( ~ pd0_28
| pd0_30
| op(e1,e1) = e4 ),
inference(cnf_transformation,[status(esa)],[f388]) ).
fof(f392,plain,
( ~ pd0_29
| ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 ) ),
inference(pre_NNF_transformation,[status(esa)],[f381]) ).
fof(f393,plain,
( pd0_31
=> ( ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 ) ) ),
introduced(predicate_definition,[f392]) ).
fof(f394,plain,
( ~ pd0_29
| pd0_31
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 ) ),
inference(formula_renaming,[status(thm)],[f392,f393]) ).
fof(f395,plain,
( ~ pd0_29
| pd0_31
| op(e4,e1) != op(e1,e4) ),
inference(cnf_transformation,[status(esa)],[f394]) ).
fof(f396,plain,
( ~ pd0_29
| pd0_31
| op(op(e1,e4),e4) = e1 ),
inference(cnf_transformation,[status(esa)],[f394]) ).
fof(f398,plain,
( ~ pd0_30
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 ) ),
inference(pre_NNF_transformation,[status(esa)],[f387]) ).
fof(f399,plain,
( pd0_32
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 ) ) ),
introduced(predicate_definition,[f398]) ).
fof(f400,plain,
( ~ pd0_30
| pd0_32
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 ) ),
inference(formula_renaming,[status(thm)],[f398,f399]) ).
fof(f401,plain,
( ~ pd0_30
| pd0_32
| op(e1,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f400]) ).
fof(f404,plain,
( ~ pd0_31
| ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f393]) ).
fof(f405,plain,
( pd0_33
=> ( ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 ) ) ),
introduced(predicate_definition,[f404]) ).
fof(f406,plain,
( ~ pd0_31
| pd0_33
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 ) ),
inference(formula_renaming,[status(thm)],[f404,f405]) ).
fof(f407,plain,
( ~ pd0_31
| pd0_33
| op(e3,e1) != op(e1,e3) ),
inference(cnf_transformation,[status(esa)],[f406]) ).
fof(f408,plain,
( ~ pd0_31
| pd0_33
| op(op(e1,e3),e3) = e1 ),
inference(cnf_transformation,[status(esa)],[f406]) ).
fof(f409,plain,
( ~ pd0_31
| pd0_33
| op(op(e1,e3),e1) != e3 ),
inference(cnf_transformation,[status(esa)],[f406]) ).
fof(f410,plain,
( ~ pd0_32
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 ) ),
inference(pre_NNF_transformation,[status(esa)],[f399]) ).
fof(f411,plain,
( pd0_34
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 ) ) ),
introduced(predicate_definition,[f410]) ).
fof(f412,plain,
( ~ pd0_32
| pd0_34
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 ) ),
inference(formula_renaming,[status(thm)],[f410,f411]) ).
fof(f414,plain,
( ~ pd0_32
| pd0_34
| op(e2,e2) = e1 ),
inference(cnf_transformation,[status(esa)],[f412]) ).
fof(f415,plain,
( ~ pd0_32
| pd0_34
| op(e1,e2) != e1 ),
inference(cnf_transformation,[status(esa)],[f412]) ).
fof(f416,plain,
( ~ pd0_33
| ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 ) ),
inference(pre_NNF_transformation,[status(esa)],[f405]) ).
fof(f417,plain,
( pd0_35
=> ( ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 ) ) ),
introduced(predicate_definition,[f416]) ).
fof(f418,plain,
( ~ pd0_33
| pd0_35
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 ) ),
inference(formula_renaming,[status(thm)],[f416,f417]) ).
fof(f419,plain,
( ~ pd0_33
| pd0_35
| op(e2,e1) != op(e1,e2) ),
inference(cnf_transformation,[status(esa)],[f418]) ).
fof(f420,plain,
( ~ pd0_33
| pd0_35
| op(op(e1,e2),e2) = e1 ),
inference(cnf_transformation,[status(esa)],[f418]) ).
fof(f421,plain,
( ~ pd0_33
| pd0_35
| op(op(e1,e2),e1) != e2 ),
inference(cnf_transformation,[status(esa)],[f418]) ).
fof(f422,plain,
( ~ pd0_34
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 ) ),
inference(pre_NNF_transformation,[status(esa)],[f411]) ).
fof(f423,plain,
( pd0_36
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 ) ) ),
introduced(predicate_definition,[f422]) ).
fof(f424,plain,
( ~ pd0_34
| pd0_36
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 ) ),
inference(formula_renaming,[status(thm)],[f422,f423]) ).
fof(f425,plain,
( ~ pd0_34
| pd0_36
| op(e1,e1) = e1 ),
inference(cnf_transformation,[status(esa)],[f424]) ).
fof(f427,plain,
( ~ pd0_34
| pd0_36
| op(e1,e1) != e1 ),
inference(cnf_transformation,[status(esa)],[f424]) ).
fof(f428,plain,
( ~ pd0_35
| ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 ) ),
inference(pre_NNF_transformation,[status(esa)],[f417]) ).
fof(f429,plain,
( pd0_37
=> ( ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 ) ) ),
introduced(predicate_definition,[f428]) ).
fof(f430,plain,
( ~ pd0_35
| pd0_37
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 ) ),
inference(formula_renaming,[status(thm)],[f428,f429]) ).
fof(f431,plain,
( ~ pd0_35
| pd0_37
| op(e1,e1) != op(e1,e1) ),
inference(cnf_transformation,[status(esa)],[f430]) ).
fof(f434,plain,
( ~ pd0_36
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 ) ),
inference(pre_NNF_transformation,[status(esa)],[f423]) ).
fof(f435,plain,
( pd0_38
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 ) ) ),
introduced(predicate_definition,[f434]) ).
fof(f436,plain,
( ~ pd0_36
| pd0_38
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 ) ),
inference(formula_renaming,[status(thm)],[f434,f435]) ).
fof(f437,plain,
( ~ pd0_36
| pd0_38
| op(e1,e1) = e0 ),
inference(cnf_transformation,[status(esa)],[f436]) ).
fof(f440,plain,
( ~ pd0_37
| ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 ) ),
inference(pre_NNF_transformation,[status(esa)],[f429]) ).
fof(f441,plain,
( pd0_39
=> ( ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 ) ) ),
introduced(predicate_definition,[f440]) ).
fof(f442,plain,
( ~ pd0_37
| pd0_39
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 ) ),
inference(formula_renaming,[status(thm)],[f440,f441]) ).
fof(f443,plain,
( ~ pd0_37
| pd0_39
| op(e0,e1) != op(e1,e0) ),
inference(cnf_transformation,[status(esa)],[f442]) ).
fof(f445,plain,
( ~ pd0_37
| pd0_39
| op(op(e1,e0),e1) != e0 ),
inference(cnf_transformation,[status(esa)],[f442]) ).
fof(f446,plain,
( ~ pd0_38
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 ) ),
inference(pre_NNF_transformation,[status(esa)],[f435]) ).
fof(f447,plain,
( pd0_40
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 ) ) ),
introduced(predicate_definition,[f446]) ).
fof(f448,plain,
( ~ pd0_38
| pd0_40
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 ) ),
inference(formula_renaming,[status(thm)],[f446,f447]) ).
fof(f450,plain,
( ~ pd0_38
| pd0_40
| op(e4,e4) = e0 ),
inference(cnf_transformation,[status(esa)],[f448]) ).
fof(f452,plain,
( ~ pd0_39
| ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 ) ),
inference(pre_NNF_transformation,[status(esa)],[f441]) ).
fof(f453,plain,
( pd0_41
=> ( ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 ) ) ),
introduced(predicate_definition,[f452]) ).
fof(f454,plain,
( ~ pd0_39
| pd0_41
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 ) ),
inference(formula_renaming,[status(thm)],[f452,f453]) ).
fof(f456,plain,
( ~ pd0_39
| pd0_41
| op(op(e0,e4),e4) = e0 ),
inference(cnf_transformation,[status(esa)],[f454]) ).
fof(f458,plain,
( ~ pd0_40
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 ) ),
inference(pre_NNF_transformation,[status(esa)],[f447]) ).
fof(f459,plain,
( pd0_42
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 ) ) ),
introduced(predicate_definition,[f458]) ).
fof(f460,plain,
( ~ pd0_40
| pd0_42
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 ) ),
inference(formula_renaming,[status(thm)],[f458,f459]) ).
fof(f461,plain,
( ~ pd0_40
| pd0_42
| op(e0,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f460]) ).
fof(f462,plain,
( ~ pd0_40
| pd0_42
| op(e3,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f460]) ).
fof(f464,plain,
( ~ pd0_41
| ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f453]) ).
fof(f465,plain,
( pd0_43
=> ( ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 ) ) ),
introduced(predicate_definition,[f464]) ).
fof(f466,plain,
( ~ pd0_41
| pd0_43
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 ) ),
inference(formula_renaming,[status(thm)],[f464,f465]) ).
fof(f467,plain,
( ~ pd0_41
| pd0_43
| op(e3,e0) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f466]) ).
fof(f470,plain,
( ~ pd0_42
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 ) ),
inference(pre_NNF_transformation,[status(esa)],[f459]) ).
fof(f471,plain,
( pd0_44
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 ) ) ),
introduced(predicate_definition,[f470]) ).
fof(f472,plain,
( ~ pd0_42
| pd0_44
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 ) ),
inference(formula_renaming,[status(thm)],[f470,f471]) ).
fof(f473,plain,
( ~ pd0_42
| pd0_44
| op(e0,e0) = e2 ),
inference(cnf_transformation,[status(esa)],[f472]) ).
fof(f474,plain,
( ~ pd0_42
| pd0_44
| op(e2,e2) = e0 ),
inference(cnf_transformation,[status(esa)],[f472]) ).
fof(f476,plain,
( ~ pd0_43
| ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 ) ),
inference(pre_NNF_transformation,[status(esa)],[f465]) ).
fof(f477,plain,
( pd0_45
=> ( ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 ) ) ),
introduced(predicate_definition,[f476]) ).
fof(f478,plain,
( ~ pd0_43
| pd0_45
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 ) ),
inference(formula_renaming,[status(thm)],[f476,f477]) ).
fof(f479,plain,
( ~ pd0_43
| pd0_45
| op(e2,e0) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f478]) ).
fof(f482,plain,
( ~ pd0_44
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 ) ),
inference(pre_NNF_transformation,[status(esa)],[f471]) ).
fof(f483,plain,
( pd0_46
=> ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 ) ),
introduced(predicate_definition,[f482]) ).
fof(f484,plain,
( ~ pd0_44
| pd0_46
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 ) ),
inference(formula_renaming,[status(thm)],[f482,f483]) ).
fof(f486,plain,
( ~ pd0_44
| pd0_46
| op(e1,e1) = e0 ),
inference(cnf_transformation,[status(esa)],[f484]) ).
fof(f488,plain,
( ~ pd0_45
| ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 ) ),
inference(pre_NNF_transformation,[status(esa)],[f477]) ).
fof(f489,plain,
( pd0_47
=> ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 ) ),
introduced(predicate_definition,[f488]) ).
fof(f490,plain,
( ~ pd0_45
| pd0_47
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 ) ),
inference(formula_renaming,[status(thm)],[f488,f489]) ).
fof(f491,plain,
( ~ pd0_45
| pd0_47
| op(e1,e0) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f490]) ).
fof(f492,plain,
( ~ pd0_45
| pd0_47
| op(op(e0,e1),e1) = e0 ),
inference(cnf_transformation,[status(esa)],[f490]) ).
fof(f493,plain,
( ~ pd0_45
| pd0_47
| op(op(e0,e1),e0) != e1 ),
inference(cnf_transformation,[status(esa)],[f490]) ).
fof(f494,plain,
( ~ pd0_46
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 ) ),
inference(pre_NNF_transformation,[status(esa)],[f483]) ).
fof(f495,plain,
( ~ pd0_46
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(esa)],[f494]) ).
fof(f497,plain,
( ~ pd0_46
| op(e0,e0) != e0 ),
inference(cnf_transformation,[status(esa)],[f494]) ).
fof(f498,plain,
( ~ pd0_47
| ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 ) ),
inference(pre_NNF_transformation,[status(esa)],[f489]) ).
fof(f499,plain,
( ~ pd0_47
| op(e0,e0) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f498]) ).
fof(f502,plain,
( spl0_0
<=> op(e0,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f503,plain,
( op(e0,e0) = e0
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f502]) ).
fof(f505,plain,
( spl0_1
<=> op(e0,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f506,plain,
( op(e0,e0) = e1
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f505]) ).
fof(f508,plain,
( spl0_2
<=> op(e0,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f509,plain,
( op(e0,e0) = e2
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f508]) ).
fof(f511,plain,
( spl0_3
<=> op(e0,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f512,plain,
( op(e0,e0) = e3
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f511]) ).
fof(f514,plain,
( spl0_4
<=> op(e0,e0) = e4 ),
introduced(split_symbol_definition) ).
fof(f515,plain,
( op(e0,e0) = e4
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f514]) ).
fof(f517,plain,
( spl0_0
| spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(split_clause,[status(thm)],[f9,f502,f505,f508,f511,f514]) ).
fof(f518,plain,
( spl0_5
<=> op(e0,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f519,plain,
( op(e0,e1) = e0
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f518]) ).
fof(f521,plain,
( spl0_6
<=> op(e0,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f522,plain,
( op(e0,e1) = e1
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f521]) ).
fof(f524,plain,
( spl0_7
<=> op(e0,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f525,plain,
( op(e0,e1) = e2
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f524]) ).
fof(f527,plain,
( spl0_8
<=> op(e0,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f528,plain,
( op(e0,e1) = e3
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f527]) ).
fof(f530,plain,
( spl0_9
<=> op(e0,e1) = e4 ),
introduced(split_symbol_definition) ).
fof(f531,plain,
( op(e0,e1) = e4
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f530]) ).
fof(f533,plain,
( spl0_5
| spl0_6
| spl0_7
| spl0_8
| spl0_9 ),
inference(split_clause,[status(thm)],[f10,f518,f521,f524,f527,f530]) ).
fof(f534,plain,
( spl0_10
<=> op(e0,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f535,plain,
( op(e0,e2) = e0
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f534]) ).
fof(f537,plain,
( spl0_11
<=> op(e0,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f538,plain,
( op(e0,e2) = e1
| ~ spl0_11 ),
inference(component_clause,[status(thm)],[f537]) ).
fof(f540,plain,
( spl0_12
<=> op(e0,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f541,plain,
( op(e0,e2) = e2
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f540]) ).
fof(f543,plain,
( spl0_13
<=> op(e0,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f544,plain,
( op(e0,e2) = e3
| ~ spl0_13 ),
inference(component_clause,[status(thm)],[f543]) ).
fof(f546,plain,
( spl0_14
<=> op(e0,e2) = e4 ),
introduced(split_symbol_definition) ).
fof(f550,plain,
( spl0_15
<=> op(e0,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f553,plain,
( spl0_16
<=> op(e0,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f556,plain,
( spl0_17
<=> op(e0,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f557,plain,
( op(e0,e3) = e2
| ~ spl0_17 ),
inference(component_clause,[status(thm)],[f556]) ).
fof(f559,plain,
( spl0_18
<=> op(e0,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f560,plain,
( op(e0,e3) = e3
| ~ spl0_18 ),
inference(component_clause,[status(thm)],[f559]) ).
fof(f562,plain,
( spl0_19
<=> op(e0,e3) = e4 ),
introduced(split_symbol_definition) ).
fof(f563,plain,
( op(e0,e3) = e4
| ~ spl0_19 ),
inference(component_clause,[status(thm)],[f562]) ).
fof(f565,plain,
( spl0_15
| spl0_16
| spl0_17
| spl0_18
| spl0_19 ),
inference(split_clause,[status(thm)],[f12,f550,f553,f556,f559,f562]) ).
fof(f566,plain,
( spl0_20
<=> op(e0,e4) = e0 ),
introduced(split_symbol_definition) ).
fof(f567,plain,
( op(e0,e4) = e0
| ~ spl0_20 ),
inference(component_clause,[status(thm)],[f566]) ).
fof(f569,plain,
( spl0_21
<=> op(e0,e4) = e1 ),
introduced(split_symbol_definition) ).
fof(f570,plain,
( op(e0,e4) = e1
| ~ spl0_21 ),
inference(component_clause,[status(thm)],[f569]) ).
fof(f572,plain,
( spl0_22
<=> op(e0,e4) = e2 ),
introduced(split_symbol_definition) ).
fof(f573,plain,
( op(e0,e4) = e2
| ~ spl0_22 ),
inference(component_clause,[status(thm)],[f572]) ).
fof(f575,plain,
( spl0_23
<=> op(e0,e4) = e3 ),
introduced(split_symbol_definition) ).
fof(f576,plain,
( op(e0,e4) = e3
| ~ spl0_23 ),
inference(component_clause,[status(thm)],[f575]) ).
fof(f578,plain,
( spl0_24
<=> op(e0,e4) = e4 ),
introduced(split_symbol_definition) ).
fof(f579,plain,
( op(e0,e4) = e4
| ~ spl0_24 ),
inference(component_clause,[status(thm)],[f578]) ).
fof(f582,plain,
( spl0_25
<=> op(e1,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f583,plain,
( op(e1,e0) = e0
| ~ spl0_25 ),
inference(component_clause,[status(thm)],[f582]) ).
fof(f585,plain,
( spl0_26
<=> op(e1,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f586,plain,
( op(e1,e0) = e1
| ~ spl0_26 ),
inference(component_clause,[status(thm)],[f585]) ).
fof(f591,plain,
( spl0_28
<=> op(e1,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f592,plain,
( op(e1,e0) = e3
| ~ spl0_28 ),
inference(component_clause,[status(thm)],[f591]) ).
fof(f594,plain,
( spl0_29
<=> op(e1,e0) = e4 ),
introduced(split_symbol_definition) ).
fof(f595,plain,
( op(e1,e0) = e4
| ~ spl0_29 ),
inference(component_clause,[status(thm)],[f594]) ).
fof(f598,plain,
( spl0_30
<=> op(e1,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f599,plain,
( op(e1,e1) = e0
| ~ spl0_30 ),
inference(component_clause,[status(thm)],[f598]) ).
fof(f601,plain,
( spl0_31
<=> op(e1,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f604,plain,
( spl0_32
<=> op(e1,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f605,plain,
( op(e1,e1) = e2
| ~ spl0_32 ),
inference(component_clause,[status(thm)],[f604]) ).
fof(f607,plain,
( spl0_33
<=> op(e1,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f608,plain,
( op(e1,e1) = e3
| ~ spl0_33 ),
inference(component_clause,[status(thm)],[f607]) ).
fof(f610,plain,
( spl0_34
<=> op(e1,e1) = e4 ),
introduced(split_symbol_definition) ).
fof(f611,plain,
( op(e1,e1) = e4
| ~ spl0_34 ),
inference(component_clause,[status(thm)],[f610]) ).
fof(f614,plain,
( spl0_35
<=> op(e1,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f615,plain,
( op(e1,e2) = e0
| ~ spl0_35 ),
inference(component_clause,[status(thm)],[f614]) ).
fof(f617,plain,
( spl0_36
<=> op(e1,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f618,plain,
( op(e1,e2) = e1
| ~ spl0_36 ),
inference(component_clause,[status(thm)],[f617]) ).
fof(f620,plain,
( spl0_37
<=> op(e1,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f623,plain,
( spl0_38
<=> op(e1,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f624,plain,
( op(e1,e2) = e3
| ~ spl0_38 ),
inference(component_clause,[status(thm)],[f623]) ).
fof(f626,plain,
( spl0_39
<=> op(e1,e2) = e4 ),
introduced(split_symbol_definition) ).
fof(f627,plain,
( op(e1,e2) = e4
| ~ spl0_39 ),
inference(component_clause,[status(thm)],[f626]) ).
fof(f630,plain,
( spl0_40
<=> op(e1,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f631,plain,
( op(e1,e3) = e0
| ~ spl0_40 ),
inference(component_clause,[status(thm)],[f630]) ).
fof(f633,plain,
( spl0_41
<=> op(e1,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f634,plain,
( op(e1,e3) = e1
| ~ spl0_41 ),
inference(component_clause,[status(thm)],[f633]) ).
fof(f636,plain,
( spl0_42
<=> op(e1,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f637,plain,
( op(e1,e3) = e2
| ~ spl0_42 ),
inference(component_clause,[status(thm)],[f636]) ).
fof(f639,plain,
( spl0_43
<=> op(e1,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f640,plain,
( op(e1,e3) = e3
| ~ spl0_43 ),
inference(component_clause,[status(thm)],[f639]) ).
fof(f642,plain,
( spl0_44
<=> op(e1,e3) = e4 ),
introduced(split_symbol_definition) ).
fof(f643,plain,
( op(e1,e3) = e4
| ~ spl0_44 ),
inference(component_clause,[status(thm)],[f642]) ).
fof(f645,plain,
( spl0_40
| spl0_41
| spl0_42
| spl0_43
| spl0_44 ),
inference(split_clause,[status(thm)],[f17,f630,f633,f636,f639,f642]) ).
fof(f646,plain,
( spl0_45
<=> op(e1,e4) = e0 ),
introduced(split_symbol_definition) ).
fof(f649,plain,
( spl0_46
<=> op(e1,e4) = e1 ),
introduced(split_symbol_definition) ).
fof(f650,plain,
( op(e1,e4) = e1
| ~ spl0_46 ),
inference(component_clause,[status(thm)],[f649]) ).
fof(f652,plain,
( spl0_47
<=> op(e1,e4) = e2 ),
introduced(split_symbol_definition) ).
fof(f653,plain,
( op(e1,e4) = e2
| ~ spl0_47 ),
inference(component_clause,[status(thm)],[f652]) ).
fof(f655,plain,
( spl0_48
<=> op(e1,e4) = e3 ),
introduced(split_symbol_definition) ).
fof(f656,plain,
( op(e1,e4) = e3
| ~ spl0_48 ),
inference(component_clause,[status(thm)],[f655]) ).
fof(f658,plain,
( spl0_49
<=> op(e1,e4) = e4 ),
introduced(split_symbol_definition) ).
fof(f659,plain,
( op(e1,e4) = e4
| ~ spl0_49 ),
inference(component_clause,[status(thm)],[f658]) ).
fof(f661,plain,
( spl0_45
| spl0_46
| spl0_47
| spl0_48
| spl0_49 ),
inference(split_clause,[status(thm)],[f18,f646,f649,f652,f655,f658]) ).
fof(f662,plain,
( spl0_50
<=> op(e2,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f663,plain,
( op(e2,e0) = e0
| ~ spl0_50 ),
inference(component_clause,[status(thm)],[f662]) ).
fof(f665,plain,
( spl0_51
<=> op(e2,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f666,plain,
( op(e2,e0) = e1
| ~ spl0_51 ),
inference(component_clause,[status(thm)],[f665]) ).
fof(f668,plain,
( spl0_52
<=> op(e2,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f669,plain,
( op(e2,e0) = e2
| ~ spl0_52 ),
inference(component_clause,[status(thm)],[f668]) ).
fof(f671,plain,
( spl0_53
<=> op(e2,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f672,plain,
( op(e2,e0) = e3
| ~ spl0_53 ),
inference(component_clause,[status(thm)],[f671]) ).
fof(f674,plain,
( spl0_54
<=> op(e2,e0) = e4 ),
introduced(split_symbol_definition) ).
fof(f675,plain,
( op(e2,e0) = e4
| ~ spl0_54 ),
inference(component_clause,[status(thm)],[f674]) ).
fof(f678,plain,
( spl0_55
<=> op(e2,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f679,plain,
( op(e2,e1) = e0
| ~ spl0_55 ),
inference(component_clause,[status(thm)],[f678]) ).
fof(f681,plain,
( spl0_56
<=> op(e2,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f682,plain,
( op(e2,e1) = e1
| ~ spl0_56 ),
inference(component_clause,[status(thm)],[f681]) ).
fof(f684,plain,
( spl0_57
<=> op(e2,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f687,plain,
( spl0_58
<=> op(e2,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f688,plain,
( op(e2,e1) = e3
| ~ spl0_58 ),
inference(component_clause,[status(thm)],[f687]) ).
fof(f690,plain,
( spl0_59
<=> op(e2,e1) = e4 ),
introduced(split_symbol_definition) ).
fof(f691,plain,
( op(e2,e1) = e4
| ~ spl0_59 ),
inference(component_clause,[status(thm)],[f690]) ).
fof(f694,plain,
( spl0_60
<=> op(e2,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f695,plain,
( op(e2,e2) = e0
| ~ spl0_60 ),
inference(component_clause,[status(thm)],[f694]) ).
fof(f697,plain,
( spl0_61
<=> op(e2,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f698,plain,
( op(e2,e2) = e1
| ~ spl0_61 ),
inference(component_clause,[status(thm)],[f697]) ).
fof(f700,plain,
( spl0_62
<=> op(e2,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f701,plain,
( op(e2,e2) = e2
| ~ spl0_62 ),
inference(component_clause,[status(thm)],[f700]) ).
fof(f703,plain,
( spl0_63
<=> op(e2,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f704,plain,
( op(e2,e2) = e3
| ~ spl0_63 ),
inference(component_clause,[status(thm)],[f703]) ).
fof(f706,plain,
( spl0_64
<=> op(e2,e2) = e4 ),
introduced(split_symbol_definition) ).
fof(f707,plain,
( op(e2,e2) = e4
| ~ spl0_64 ),
inference(component_clause,[status(thm)],[f706]) ).
fof(f710,plain,
( spl0_65
<=> op(e2,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f711,plain,
( op(e2,e3) = e0
| ~ spl0_65 ),
inference(component_clause,[status(thm)],[f710]) ).
fof(f713,plain,
( spl0_66
<=> op(e2,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f714,plain,
( op(e2,e3) = e1
| ~ spl0_66 ),
inference(component_clause,[status(thm)],[f713]) ).
fof(f716,plain,
( spl0_67
<=> op(e2,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f719,plain,
( spl0_68
<=> op(e2,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f720,plain,
( op(e2,e3) = e3
| ~ spl0_68 ),
inference(component_clause,[status(thm)],[f719]) ).
fof(f722,plain,
( spl0_69
<=> op(e2,e3) = e4 ),
introduced(split_symbol_definition) ).
fof(f723,plain,
( op(e2,e3) = e4
| ~ spl0_69 ),
inference(component_clause,[status(thm)],[f722]) ).
fof(f725,plain,
( spl0_65
| spl0_66
| spl0_67
| spl0_68
| spl0_69 ),
inference(split_clause,[status(thm)],[f22,f710,f713,f716,f719,f722]) ).
fof(f726,plain,
( spl0_70
<=> op(e2,e4) = e0 ),
introduced(split_symbol_definition) ).
fof(f727,plain,
( op(e2,e4) = e0
| ~ spl0_70 ),
inference(component_clause,[status(thm)],[f726]) ).
fof(f729,plain,
( spl0_71
<=> op(e2,e4) = e1 ),
introduced(split_symbol_definition) ).
fof(f730,plain,
( op(e2,e4) = e1
| ~ spl0_71 ),
inference(component_clause,[status(thm)],[f729]) ).
fof(f732,plain,
( spl0_72
<=> op(e2,e4) = e2 ),
introduced(split_symbol_definition) ).
fof(f733,plain,
( op(e2,e4) = e2
| ~ spl0_72 ),
inference(component_clause,[status(thm)],[f732]) ).
fof(f735,plain,
( spl0_73
<=> op(e2,e4) = e3 ),
introduced(split_symbol_definition) ).
fof(f736,plain,
( op(e2,e4) = e3
| ~ spl0_73 ),
inference(component_clause,[status(thm)],[f735]) ).
fof(f738,plain,
( spl0_74
<=> op(e2,e4) = e4 ),
introduced(split_symbol_definition) ).
fof(f739,plain,
( op(e2,e4) = e4
| ~ spl0_74 ),
inference(component_clause,[status(thm)],[f738]) ).
fof(f742,plain,
( spl0_75
<=> op(e3,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f743,plain,
( op(e3,e0) = e0
| ~ spl0_75 ),
inference(component_clause,[status(thm)],[f742]) ).
fof(f745,plain,
( spl0_76
<=> op(e3,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f746,plain,
( op(e3,e0) = e1
| ~ spl0_76 ),
inference(component_clause,[status(thm)],[f745]) ).
fof(f748,plain,
( spl0_77
<=> op(e3,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f749,plain,
( op(e3,e0) = e2
| ~ spl0_77 ),
inference(component_clause,[status(thm)],[f748]) ).
fof(f751,plain,
( spl0_78
<=> op(e3,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f752,plain,
( op(e3,e0) = e3
| ~ spl0_78 ),
inference(component_clause,[status(thm)],[f751]) ).
fof(f754,plain,
( spl0_79
<=> op(e3,e0) = e4 ),
introduced(split_symbol_definition) ).
fof(f755,plain,
( op(e3,e0) = e4
| ~ spl0_79 ),
inference(component_clause,[status(thm)],[f754]) ).
fof(f757,plain,
( spl0_75
| spl0_76
| spl0_77
| spl0_78
| spl0_79 ),
inference(split_clause,[status(thm)],[f24,f742,f745,f748,f751,f754]) ).
fof(f758,plain,
( spl0_80
<=> op(e3,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f759,plain,
( op(e3,e1) = e0
| ~ spl0_80 ),
inference(component_clause,[status(thm)],[f758]) ).
fof(f761,plain,
( spl0_81
<=> op(e3,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f762,plain,
( op(e3,e1) = e1
| ~ spl0_81 ),
inference(component_clause,[status(thm)],[f761]) ).
fof(f764,plain,
( spl0_82
<=> op(e3,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f765,plain,
( op(e3,e1) = e2
| ~ spl0_82 ),
inference(component_clause,[status(thm)],[f764]) ).
fof(f767,plain,
( spl0_83
<=> op(e3,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f768,plain,
( op(e3,e1) = e3
| ~ spl0_83 ),
inference(component_clause,[status(thm)],[f767]) ).
fof(f770,plain,
( spl0_84
<=> op(e3,e1) = e4 ),
introduced(split_symbol_definition) ).
fof(f771,plain,
( op(e3,e1) = e4
| ~ spl0_84 ),
inference(component_clause,[status(thm)],[f770]) ).
fof(f773,plain,
( spl0_80
| spl0_81
| spl0_82
| spl0_83
| spl0_84 ),
inference(split_clause,[status(thm)],[f25,f758,f761,f764,f767,f770]) ).
fof(f774,plain,
( spl0_85
<=> op(e3,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f775,plain,
( op(e3,e2) = e0
| ~ spl0_85 ),
inference(component_clause,[status(thm)],[f774]) ).
fof(f777,plain,
( spl0_86
<=> op(e3,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f778,plain,
( op(e3,e2) = e1
| ~ spl0_86 ),
inference(component_clause,[status(thm)],[f777]) ).
fof(f780,plain,
( spl0_87
<=> op(e3,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f781,plain,
( op(e3,e2) = e2
| ~ spl0_87 ),
inference(component_clause,[status(thm)],[f780]) ).
fof(f783,plain,
( spl0_88
<=> op(e3,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f784,plain,
( op(e3,e2) = e3
| ~ spl0_88 ),
inference(component_clause,[status(thm)],[f783]) ).
fof(f786,plain,
( spl0_89
<=> op(e3,e2) = e4 ),
introduced(split_symbol_definition) ).
fof(f787,plain,
( op(e3,e2) = e4
| ~ spl0_89 ),
inference(component_clause,[status(thm)],[f786]) ).
fof(f789,plain,
( spl0_85
| spl0_86
| spl0_87
| spl0_88
| spl0_89 ),
inference(split_clause,[status(thm)],[f26,f774,f777,f780,f783,f786]) ).
fof(f790,plain,
( spl0_90
<=> op(e3,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f791,plain,
( op(e3,e3) = e0
| ~ spl0_90 ),
inference(component_clause,[status(thm)],[f790]) ).
fof(f793,plain,
( spl0_91
<=> op(e3,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f794,plain,
( op(e3,e3) = e1
| ~ spl0_91 ),
inference(component_clause,[status(thm)],[f793]) ).
fof(f796,plain,
( spl0_92
<=> op(e3,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f797,plain,
( op(e3,e3) = e2
| ~ spl0_92 ),
inference(component_clause,[status(thm)],[f796]) ).
fof(f799,plain,
( spl0_93
<=> op(e3,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f800,plain,
( op(e3,e3) = e3
| ~ spl0_93 ),
inference(component_clause,[status(thm)],[f799]) ).
fof(f802,plain,
( spl0_94
<=> op(e3,e3) = e4 ),
introduced(split_symbol_definition) ).
fof(f803,plain,
( op(e3,e3) = e4
| ~ spl0_94 ),
inference(component_clause,[status(thm)],[f802]) ).
fof(f805,plain,
( spl0_90
| spl0_91
| spl0_92
| spl0_93
| spl0_94 ),
inference(split_clause,[status(thm)],[f27,f790,f793,f796,f799,f802]) ).
fof(f806,plain,
( spl0_95
<=> op(e3,e4) = e0 ),
introduced(split_symbol_definition) ).
fof(f807,plain,
( op(e3,e4) = e0
| ~ spl0_95 ),
inference(component_clause,[status(thm)],[f806]) ).
fof(f809,plain,
( spl0_96
<=> op(e3,e4) = e1 ),
introduced(split_symbol_definition) ).
fof(f810,plain,
( op(e3,e4) = e1
| ~ spl0_96 ),
inference(component_clause,[status(thm)],[f809]) ).
fof(f812,plain,
( spl0_97
<=> op(e3,e4) = e2 ),
introduced(split_symbol_definition) ).
fof(f814,plain,
( op(e3,e4) != e2
| spl0_97 ),
inference(component_clause,[status(thm)],[f812]) ).
fof(f815,plain,
( spl0_98
<=> op(e3,e4) = e3 ),
introduced(split_symbol_definition) ).
fof(f816,plain,
( op(e3,e4) = e3
| ~ spl0_98 ),
inference(component_clause,[status(thm)],[f815]) ).
fof(f818,plain,
( spl0_99
<=> op(e3,e4) = e4 ),
introduced(split_symbol_definition) ).
fof(f819,plain,
( op(e3,e4) = e4
| ~ spl0_99 ),
inference(component_clause,[status(thm)],[f818]) ).
fof(f822,plain,
( spl0_100
<=> op(e4,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f825,plain,
( spl0_101
<=> op(e4,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f826,plain,
( op(e4,e0) = e1
| ~ spl0_101 ),
inference(component_clause,[status(thm)],[f825]) ).
fof(f828,plain,
( spl0_102
<=> op(e4,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f829,plain,
( op(e4,e0) = e2
| ~ spl0_102 ),
inference(component_clause,[status(thm)],[f828]) ).
fof(f831,plain,
( spl0_103
<=> op(e4,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f832,plain,
( op(e4,e0) = e3
| ~ spl0_103 ),
inference(component_clause,[status(thm)],[f831]) ).
fof(f834,plain,
( spl0_104
<=> op(e4,e0) = e4 ),
introduced(split_symbol_definition) ).
fof(f835,plain,
( op(e4,e0) = e4
| ~ spl0_104 ),
inference(component_clause,[status(thm)],[f834]) ).
fof(f837,plain,
( spl0_100
| spl0_101
| spl0_102
| spl0_103
| spl0_104 ),
inference(split_clause,[status(thm)],[f29,f822,f825,f828,f831,f834]) ).
fof(f838,plain,
( spl0_105
<=> op(e4,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f839,plain,
( op(e4,e1) = e0
| ~ spl0_105 ),
inference(component_clause,[status(thm)],[f838]) ).
fof(f841,plain,
( spl0_106
<=> op(e4,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f842,plain,
( op(e4,e1) = e1
| ~ spl0_106 ),
inference(component_clause,[status(thm)],[f841]) ).
fof(f844,plain,
( spl0_107
<=> op(e4,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f845,plain,
( op(e4,e1) = e2
| ~ spl0_107 ),
inference(component_clause,[status(thm)],[f844]) ).
fof(f847,plain,
( spl0_108
<=> op(e4,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f850,plain,
( spl0_109
<=> op(e4,e1) = e4 ),
introduced(split_symbol_definition) ).
fof(f851,plain,
( op(e4,e1) = e4
| ~ spl0_109 ),
inference(component_clause,[status(thm)],[f850]) ).
fof(f854,plain,
( spl0_110
<=> op(e4,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f855,plain,
( op(e4,e2) = e0
| ~ spl0_110 ),
inference(component_clause,[status(thm)],[f854]) ).
fof(f857,plain,
( spl0_111
<=> op(e4,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f858,plain,
( op(e4,e2) = e1
| ~ spl0_111 ),
inference(component_clause,[status(thm)],[f857]) ).
fof(f860,plain,
( spl0_112
<=> op(e4,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f861,plain,
( op(e4,e2) = e2
| ~ spl0_112 ),
inference(component_clause,[status(thm)],[f860]) ).
fof(f863,plain,
( spl0_113
<=> op(e4,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f864,plain,
( op(e4,e2) = e3
| ~ spl0_113 ),
inference(component_clause,[status(thm)],[f863]) ).
fof(f866,plain,
( spl0_114
<=> op(e4,e2) = e4 ),
introduced(split_symbol_definition) ).
fof(f867,plain,
( op(e4,e2) = e4
| ~ spl0_114 ),
inference(component_clause,[status(thm)],[f866]) ).
fof(f869,plain,
( spl0_110
| spl0_111
| spl0_112
| spl0_113
| spl0_114 ),
inference(split_clause,[status(thm)],[f31,f854,f857,f860,f863,f866]) ).
fof(f870,plain,
( spl0_115
<=> op(e4,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f871,plain,
( op(e4,e3) = e0
| ~ spl0_115 ),
inference(component_clause,[status(thm)],[f870]) ).
fof(f873,plain,
( spl0_116
<=> op(e4,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f874,plain,
( op(e4,e3) = e1
| ~ spl0_116 ),
inference(component_clause,[status(thm)],[f873]) ).
fof(f876,plain,
( spl0_117
<=> op(e4,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f877,plain,
( op(e4,e3) = e2
| ~ spl0_117 ),
inference(component_clause,[status(thm)],[f876]) ).
fof(f879,plain,
( spl0_118
<=> op(e4,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f880,plain,
( op(e4,e3) = e3
| ~ spl0_118 ),
inference(component_clause,[status(thm)],[f879]) ).
fof(f882,plain,
( spl0_119
<=> op(e4,e3) = e4 ),
introduced(split_symbol_definition) ).
fof(f885,plain,
( spl0_115
| spl0_116
| spl0_117
| spl0_118
| spl0_119 ),
inference(split_clause,[status(thm)],[f32,f870,f873,f876,f879,f882]) ).
fof(f886,plain,
( spl0_120
<=> op(e4,e4) = e0 ),
introduced(split_symbol_definition) ).
fof(f887,plain,
( op(e4,e4) = e0
| ~ spl0_120 ),
inference(component_clause,[status(thm)],[f886]) ).
fof(f889,plain,
( spl0_121
<=> op(e4,e4) = e1 ),
introduced(split_symbol_definition) ).
fof(f892,plain,
( spl0_122
<=> op(e4,e4) = e2 ),
introduced(split_symbol_definition) ).
fof(f893,plain,
( op(e4,e4) = e2
| ~ spl0_122 ),
inference(component_clause,[status(thm)],[f892]) ).
fof(f895,plain,
( spl0_123
<=> op(e4,e4) = e3 ),
introduced(split_symbol_definition) ).
fof(f896,plain,
( op(e4,e4) = e3
| ~ spl0_123 ),
inference(component_clause,[status(thm)],[f895]) ).
fof(f898,plain,
( spl0_124
<=> op(e4,e4) = e4 ),
introduced(split_symbol_definition) ).
fof(f899,plain,
( op(e4,e4) = e4
| ~ spl0_124 ),
inference(component_clause,[status(thm)],[f898]) ).
fof(f901,plain,
( spl0_120
| spl0_121
| spl0_122
| spl0_123
| spl0_124 ),
inference(split_clause,[status(thm)],[f33,f886,f889,f892,f895,f898]) ).
fof(f902,plain,
( spl0_125
<=> unit = e0 ),
introduced(split_symbol_definition) ).
fof(f903,plain,
( unit = e0
| ~ spl0_125 ),
inference(component_clause,[status(thm)],[f902]) ).
fof(f905,plain,
( spl0_126
<=> unit = e1 ),
introduced(split_symbol_definition) ).
fof(f906,plain,
( unit = e1
| ~ spl0_126 ),
inference(component_clause,[status(thm)],[f905]) ).
fof(f908,plain,
( spl0_127
<=> unit = e2 ),
introduced(split_symbol_definition) ).
fof(f909,plain,
( unit = e2
| ~ spl0_127 ),
inference(component_clause,[status(thm)],[f908]) ).
fof(f911,plain,
( spl0_128
<=> unit = e3 ),
introduced(split_symbol_definition) ).
fof(f912,plain,
( unit = e3
| ~ spl0_128 ),
inference(component_clause,[status(thm)],[f911]) ).
fof(f914,plain,
( spl0_129
<=> unit = e4 ),
introduced(split_symbol_definition) ).
fof(f915,plain,
( unit = e4
| ~ spl0_129 ),
inference(component_clause,[status(thm)],[f914]) ).
fof(f917,plain,
( spl0_125
| spl0_126
| spl0_127
| spl0_128
| spl0_129 ),
inference(split_clause,[status(thm)],[f44,f902,f905,f908,f911,f914]) ).
fof(f921,plain,
( spl0_1
| spl0_26
| spl0_51
| spl0_76
| spl0_101 ),
inference(split_clause,[status(thm)],[f48,f505,f585,f665,f745,f825]) ).
fof(f925,plain,
( spl0_3
| spl0_28
| spl0_53
| spl0_78
| spl0_103 ),
inference(split_clause,[status(thm)],[f52,f511,f591,f671,f751,f831]) ).
fof(f929,plain,
( spl0_5
| spl0_30
| spl0_55
| spl0_80
| spl0_105 ),
inference(split_clause,[status(thm)],[f56,f518,f598,f678,f758,f838]) ).
fof(f933,plain,
( spl0_7
| spl0_32
| spl0_57
| spl0_82
| spl0_107 ),
inference(split_clause,[status(thm)],[f60,f524,f604,f684,f764,f844]) ).
fof(f934,plain,
( spl0_28
| spl0_33
| spl0_38
| spl0_43
| spl0_48 ),
inference(split_clause,[status(thm)],[f61,f591,f607,f623,f639,f655]) ).
fof(f936,plain,
( spl0_29
| spl0_34
| spl0_39
| spl0_44
| spl0_49 ),
inference(split_clause,[status(thm)],[f63,f594,f610,f626,f642,f658]) ).
fof(f937,plain,
( spl0_9
| spl0_34
| spl0_59
| spl0_84
| spl0_109 ),
inference(split_clause,[status(thm)],[f64,f530,f610,f690,f770,f850]) ).
fof(f938,plain,
( spl0_50
| spl0_55
| spl0_60
| spl0_65
| spl0_70 ),
inference(split_clause,[status(thm)],[f65,f662,f678,f694,f710,f726]) ).
fof(f940,plain,
( spl0_51
| spl0_56
| spl0_61
| spl0_66
| spl0_71 ),
inference(split_clause,[status(thm)],[f67,f665,f681,f697,f713,f729]) ).
fof(f945,plain,
( spl0_13
| spl0_38
| spl0_63
| spl0_88
| spl0_113 ),
inference(split_clause,[status(thm)],[f72,f543,f623,f703,f783,f863]) ).
fof(f946,plain,
( spl0_54
| spl0_59
| spl0_64
| spl0_69
| spl0_74 ),
inference(split_clause,[status(thm)],[f73,f674,f690,f706,f722,f738]) ).
fof(f947,plain,
( spl0_14
| spl0_39
| spl0_64
| spl0_89
| spl0_114 ),
inference(split_clause,[status(thm)],[f74,f546,f626,f706,f786,f866]) ).
fof(f950,plain,
( spl0_76
| spl0_81
| spl0_86
| spl0_91
| spl0_96 ),
inference(split_clause,[status(thm)],[f77,f745,f761,f777,f793,f809]) ).
fof(f951,plain,
( spl0_16
| spl0_41
| spl0_66
| spl0_91
| spl0_116 ),
inference(split_clause,[status(thm)],[f78,f553,f633,f713,f793,f873]) ).
fof(f953,plain,
( spl0_17
| spl0_42
| spl0_67
| spl0_92
| spl0_117 ),
inference(split_clause,[status(thm)],[f80,f556,f636,f716,f796,f876]) ).
fof(f958,plain,
( spl0_100
| spl0_105
| spl0_110
| spl0_115
| spl0_120 ),
inference(split_clause,[status(thm)],[f85,f822,f838,f854,f870,f886]) ).
fof(f964,plain,
( spl0_103
| spl0_108
| spl0_113
| spl0_118
| spl0_123 ),
inference(split_clause,[status(thm)],[f91,f831,f847,f863,f879,f895]) ).
fof(f965,plain,
( spl0_23
| spl0_48
| spl0_73
| spl0_98
| spl0_123 ),
inference(split_clause,[status(thm)],[f92,f575,f655,f735,f815,f895]) ).
fof(f968,plain,
( spl0_130
<=> pd0_0 ),
introduced(split_symbol_definition) ).
fof(f971,plain,
( spl0_130
| spl0_124 ),
inference(split_clause,[status(thm)],[f212,f968,f898]) ).
fof(f974,plain,
( spl0_131
<=> pd0_1 ),
introduced(split_symbol_definition) ).
fof(f977,plain,
( spl0_132
<=> op(e4,e4) = op(e4,e4) ),
introduced(split_symbol_definition) ).
fof(f979,plain,
( op(e4,e4) != op(e4,e4)
| spl0_132 ),
inference(component_clause,[status(thm)],[f977]) ).
fof(f980,plain,
( spl0_131
| ~ spl0_132 ),
inference(split_clause,[status(thm)],[f215,f974,f977]) ).
fof(f986,plain,
( spl0_134
<=> pd0_2 ),
introduced(split_symbol_definition) ).
fof(f989,plain,
( ~ spl0_130
| spl0_134
| spl0_123 ),
inference(split_clause,[status(thm)],[f221,f968,f986,f895]) ).
fof(f992,plain,
( spl0_135
<=> pd0_3 ),
introduced(split_symbol_definition) ).
fof(f995,plain,
( spl0_136
<=> op(e3,e4) = op(e4,e3) ),
introduced(split_symbol_definition) ).
fof(f996,plain,
( op(e3,e4) = op(e4,e3)
| ~ spl0_136 ),
inference(component_clause,[status(thm)],[f995]) ).
fof(f997,plain,
( op(e3,e4) != op(e4,e3)
| spl0_136 ),
inference(component_clause,[status(thm)],[f995]) ).
fof(f998,plain,
( ~ spl0_131
| spl0_135
| ~ spl0_136 ),
inference(split_clause,[status(thm)],[f227,f974,f992,f995]) ).
fof(f1003,plain,
( spl0_138
<=> op(op(e4,e3),e4) = e3 ),
introduced(split_symbol_definition) ).
fof(f1005,plain,
( op(op(e4,e3),e4) != e3
| spl0_138 ),
inference(component_clause,[status(thm)],[f1003]) ).
fof(f1006,plain,
( ~ spl0_131
| spl0_135
| ~ spl0_138 ),
inference(split_clause,[status(thm)],[f229,f974,f992,f1003]) ).
fof(f1007,plain,
( spl0_139
<=> pd0_4 ),
introduced(split_symbol_definition) ).
fof(f1010,plain,
( ~ spl0_134
| spl0_139
| spl0_122 ),
inference(split_clause,[status(thm)],[f233,f986,f1007,f892]) ).
fof(f1013,plain,
( spl0_140
<=> pd0_5 ),
introduced(split_symbol_definition) ).
fof(f1016,plain,
( spl0_141
<=> op(e2,e4) = op(e4,e2) ),
introduced(split_symbol_definition) ).
fof(f1017,plain,
( op(e2,e4) = op(e4,e2)
| ~ spl0_141 ),
inference(component_clause,[status(thm)],[f1016]) ).
fof(f1018,plain,
( op(e2,e4) != op(e4,e2)
| spl0_141 ),
inference(component_clause,[status(thm)],[f1016]) ).
fof(f1019,plain,
( ~ spl0_135
| spl0_140
| ~ spl0_141 ),
inference(split_clause,[status(thm)],[f239,f992,f1013,f1016]) ).
fof(f1020,plain,
( spl0_142
<=> op(op(e4,e2),e2) = e4 ),
introduced(split_symbol_definition) ).
fof(f1021,plain,
( op(op(e4,e2),e2) = e4
| ~ spl0_142 ),
inference(component_clause,[status(thm)],[f1020]) ).
fof(f1023,plain,
( ~ spl0_135
| spl0_140
| spl0_142 ),
inference(split_clause,[status(thm)],[f240,f992,f1013,f1020]) ).
fof(f1028,plain,
( spl0_144
<=> pd0_6 ),
introduced(split_symbol_definition) ).
fof(f1032,plain,
( ~ spl0_139
| spl0_144
| spl0_34 ),
inference(split_clause,[status(thm)],[f246,f1007,f1028,f610]) ).
fof(f1034,plain,
( spl0_145
<=> pd0_7 ),
introduced(split_symbol_definition) ).
fof(f1037,plain,
( spl0_146
<=> op(e1,e4) = op(e4,e1) ),
introduced(split_symbol_definition) ).
fof(f1040,plain,
( ~ spl0_140
| spl0_145
| ~ spl0_146 ),
inference(split_clause,[status(thm)],[f251,f1013,f1034,f1037]) ).
fof(f1041,plain,
( spl0_147
<=> op(op(e4,e1),e1) = e4 ),
introduced(split_symbol_definition) ).
fof(f1042,plain,
( op(op(e4,e1),e1) = e4
| ~ spl0_147 ),
inference(component_clause,[status(thm)],[f1041]) ).
fof(f1043,plain,
( op(op(e4,e1),e1) != e4
| spl0_147 ),
inference(component_clause,[status(thm)],[f1041]) ).
fof(f1044,plain,
( ~ spl0_140
| spl0_145
| spl0_147 ),
inference(split_clause,[status(thm)],[f252,f1013,f1034,f1041]) ).
fof(f1049,plain,
( spl0_149
<=> pd0_8 ),
introduced(split_symbol_definition) ).
fof(f1052,plain,
( ~ spl0_144
| spl0_149
| spl0_120 ),
inference(split_clause,[status(thm)],[f257,f1028,f1049,f886]) ).
fof(f1055,plain,
( spl0_150
<=> pd0_9 ),
introduced(split_symbol_definition) ).
fof(f1058,plain,
( spl0_151
<=> op(e0,e4) = op(e4,e0) ),
introduced(split_symbol_definition) ).
fof(f1060,plain,
( op(e0,e4) != op(e4,e0)
| spl0_151 ),
inference(component_clause,[status(thm)],[f1058]) ).
fof(f1061,plain,
( ~ spl0_145
| spl0_150
| ~ spl0_151 ),
inference(split_clause,[status(thm)],[f263,f1034,f1055,f1058]) ).
fof(f1062,plain,
( spl0_152
<=> op(op(e4,e0),e0) = e4 ),
introduced(split_symbol_definition) ).
fof(f1063,plain,
( op(op(e4,e0),e0) = e4
| ~ spl0_152 ),
inference(component_clause,[status(thm)],[f1062]) ).
fof(f1065,plain,
( ~ spl0_145
| spl0_150
| spl0_152 ),
inference(split_clause,[status(thm)],[f264,f1034,f1055,f1062]) ).
fof(f1070,plain,
( spl0_154
<=> pd0_10 ),
introduced(split_symbol_definition) ).
fof(f1073,plain,
( ~ spl0_149
| spl0_154
| spl0_94 ),
inference(split_clause,[status(thm)],[f269,f1049,f1070,f802]) ).
fof(f1074,plain,
( ~ spl0_149
| spl0_154
| spl0_123 ),
inference(split_clause,[status(thm)],[f270,f1049,f1070,f895]) ).
fof(f1076,plain,
( spl0_155
<=> pd0_11 ),
introduced(split_symbol_definition) ).
fof(f1079,plain,
( ~ spl0_150
| spl0_155
| ~ spl0_136 ),
inference(split_clause,[status(thm)],[f275,f1055,f1076,f995]) ).
fof(f1080,plain,
( spl0_156
<=> op(op(e3,e4),e4) = e3 ),
introduced(split_symbol_definition) ).
fof(f1081,plain,
( op(op(e3,e4),e4) = e3
| ~ spl0_156 ),
inference(component_clause,[status(thm)],[f1080]) ).
fof(f1083,plain,
( ~ spl0_150
| spl0_155
| spl0_156 ),
inference(split_clause,[status(thm)],[f276,f1055,f1076,f1080]) ).
fof(f1088,plain,
( spl0_158
<=> pd0_12 ),
introduced(split_symbol_definition) ).
fof(f1091,plain,
( ~ spl0_154
| spl0_158
| spl0_93 ),
inference(split_clause,[status(thm)],[f281,f1070,f1088,f799]) ).
fof(f1094,plain,
( spl0_159
<=> pd0_13 ),
introduced(split_symbol_definition) ).
fof(f1097,plain,
( spl0_160
<=> op(e3,e3) = op(e3,e3) ),
introduced(split_symbol_definition) ).
fof(f1099,plain,
( op(e3,e3) != op(e3,e3)
| spl0_160 ),
inference(component_clause,[status(thm)],[f1097]) ).
fof(f1100,plain,
( ~ spl0_155
| spl0_159
| ~ spl0_160 ),
inference(split_clause,[status(thm)],[f287,f1076,f1094,f1097]) ).
fof(f1106,plain,
( spl0_162
<=> pd0_14 ),
introduced(split_symbol_definition) ).
fof(f1109,plain,
( ~ spl0_158
| spl0_162
| spl0_92 ),
inference(split_clause,[status(thm)],[f293,f1088,f1106,f796]) ).
fof(f1112,plain,
( spl0_163
<=> pd0_15 ),
introduced(split_symbol_definition) ).
fof(f1115,plain,
( spl0_164
<=> op(e2,e3) = op(e3,e2) ),
introduced(split_symbol_definition) ).
fof(f1116,plain,
( op(e2,e3) = op(e3,e2)
| ~ spl0_164 ),
inference(component_clause,[status(thm)],[f1115]) ).
fof(f1117,plain,
( op(e2,e3) != op(e3,e2)
| spl0_164 ),
inference(component_clause,[status(thm)],[f1115]) ).
fof(f1118,plain,
( ~ spl0_159
| spl0_163
| ~ spl0_164 ),
inference(split_clause,[status(thm)],[f299,f1094,f1112,f1115]) ).
fof(f1119,plain,
( spl0_165
<=> op(op(e3,e2),e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f1120,plain,
( op(op(e3,e2),e2) = e3
| ~ spl0_165 ),
inference(component_clause,[status(thm)],[f1119]) ).
fof(f1122,plain,
( ~ spl0_159
| spl0_163
| spl0_165 ),
inference(split_clause,[status(thm)],[f300,f1094,f1112,f1119]) ).
fof(f1127,plain,
( spl0_167
<=> pd0_16 ),
introduced(split_symbol_definition) ).
fof(f1130,plain,
( ~ spl0_162
| spl0_167
| spl0_91 ),
inference(split_clause,[status(thm)],[f305,f1106,f1127,f793]) ).
fof(f1131,plain,
( ~ spl0_162
| spl0_167
| spl0_33 ),
inference(split_clause,[status(thm)],[f306,f1106,f1127,f607]) ).
fof(f1133,plain,
( spl0_168
<=> pd0_17 ),
introduced(split_symbol_definition) ).
fof(f1136,plain,
( spl0_169
<=> op(e1,e3) = op(e3,e1) ),
introduced(split_symbol_definition) ).
fof(f1138,plain,
( op(e1,e3) != op(e3,e1)
| spl0_169 ),
inference(component_clause,[status(thm)],[f1136]) ).
fof(f1139,plain,
( ~ spl0_163
| spl0_168
| ~ spl0_169 ),
inference(split_clause,[status(thm)],[f311,f1112,f1133,f1136]) ).
fof(f1140,plain,
( spl0_170
<=> op(op(e3,e1),e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f1141,plain,
( op(op(e3,e1),e1) = e3
| ~ spl0_170 ),
inference(component_clause,[status(thm)],[f1140]) ).
fof(f1143,plain,
( ~ spl0_163
| spl0_168
| spl0_170 ),
inference(split_clause,[status(thm)],[f312,f1112,f1133,f1140]) ).
fof(f1148,plain,
( spl0_172
<=> pd0_18 ),
introduced(split_symbol_definition) ).
fof(f1151,plain,
( ~ spl0_167
| spl0_172
| spl0_90 ),
inference(split_clause,[status(thm)],[f317,f1127,f1148,f790]) ).
fof(f1152,plain,
( ~ spl0_167
| spl0_172
| spl0_3 ),
inference(split_clause,[status(thm)],[f318,f1127,f1148,f511]) ).
fof(f1154,plain,
( spl0_173
<=> pd0_19 ),
introduced(split_symbol_definition) ).
fof(f1157,plain,
( spl0_174
<=> op(e0,e3) = op(e3,e0) ),
introduced(split_symbol_definition) ).
fof(f1159,plain,
( op(e0,e3) != op(e3,e0)
| spl0_174 ),
inference(component_clause,[status(thm)],[f1157]) ).
fof(f1160,plain,
( ~ spl0_168
| spl0_173
| ~ spl0_174 ),
inference(split_clause,[status(thm)],[f323,f1133,f1154,f1157]) ).
fof(f1161,plain,
( spl0_175
<=> op(op(e3,e0),e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f1162,plain,
( op(op(e3,e0),e0) = e3
| ~ spl0_175 ),
inference(component_clause,[status(thm)],[f1161]) ).
fof(f1164,plain,
( ~ spl0_168
| spl0_173
| spl0_175 ),
inference(split_clause,[status(thm)],[f324,f1133,f1154,f1161]) ).
fof(f1165,plain,
( spl0_176
<=> op(op(e3,e0),e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f1167,plain,
( op(op(e3,e0),e3) != e0
| spl0_176 ),
inference(component_clause,[status(thm)],[f1165]) ).
fof(f1169,plain,
( spl0_177
<=> pd0_20 ),
introduced(split_symbol_definition) ).
fof(f1172,plain,
( ~ spl0_172
| spl0_177
| spl0_64 ),
inference(split_clause,[status(thm)],[f329,f1148,f1169,f706]) ).
fof(f1173,plain,
( ~ spl0_172
| spl0_177
| spl0_122 ),
inference(split_clause,[status(thm)],[f330,f1148,f1169,f892]) ).
fof(f1175,plain,
( spl0_178
<=> pd0_21 ),
introduced(split_symbol_definition) ).
fof(f1178,plain,
( ~ spl0_173
| spl0_178
| ~ spl0_141 ),
inference(split_clause,[status(thm)],[f335,f1154,f1175,f1016]) ).
fof(f1179,plain,
( spl0_179
<=> op(op(e2,e4),e4) = e2 ),
introduced(split_symbol_definition) ).
fof(f1180,plain,
( op(op(e2,e4),e4) = e2
| ~ spl0_179 ),
inference(component_clause,[status(thm)],[f1179]) ).
fof(f1182,plain,
( ~ spl0_173
| spl0_178
| spl0_179 ),
inference(split_clause,[status(thm)],[f336,f1154,f1175,f1179]) ).
fof(f1183,plain,
( spl0_180
<=> op(op(e2,e4),e2) = e4 ),
introduced(split_symbol_definition) ).
fof(f1185,plain,
( op(op(e2,e4),e2) != e4
| spl0_180 ),
inference(component_clause,[status(thm)],[f1183]) ).
fof(f1186,plain,
( ~ spl0_173
| spl0_178
| ~ spl0_180 ),
inference(split_clause,[status(thm)],[f337,f1154,f1175,f1183]) ).
fof(f1187,plain,
( spl0_181
<=> pd0_22 ),
introduced(split_symbol_definition) ).
fof(f1191,plain,
( ~ spl0_177
| spl0_181
| spl0_92 ),
inference(split_clause,[status(thm)],[f342,f1169,f1187,f796]) ).
fof(f1193,plain,
( spl0_182
<=> pd0_23 ),
introduced(split_symbol_definition) ).
fof(f1196,plain,
( ~ spl0_178
| spl0_182
| ~ spl0_164 ),
inference(split_clause,[status(thm)],[f347,f1175,f1193,f1115]) ).
fof(f1197,plain,
( spl0_183
<=> op(op(e2,e3),e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f1198,plain,
( op(op(e2,e3),e3) = e2
| ~ spl0_183 ),
inference(component_clause,[status(thm)],[f1197]) ).
fof(f1200,plain,
( ~ spl0_178
| spl0_182
| spl0_183 ),
inference(split_clause,[status(thm)],[f348,f1175,f1193,f1197]) ).
fof(f1205,plain,
( spl0_185
<=> pd0_24 ),
introduced(split_symbol_definition) ).
fof(f1208,plain,
( ~ spl0_181
| spl0_185
| spl0_62 ),
inference(split_clause,[status(thm)],[f353,f1187,f1205,f700]) ).
fof(f1210,plain,
( ~ spl0_181
| spl0_185
| ~ spl0_62 ),
inference(split_clause,[status(thm)],[f355,f1187,f1205,f700]) ).
fof(f1211,plain,
( spl0_186
<=> pd0_25 ),
introduced(split_symbol_definition) ).
fof(f1214,plain,
( spl0_187
<=> op(e2,e2) = op(e2,e2) ),
introduced(split_symbol_definition) ).
fof(f1216,plain,
( op(e2,e2) != op(e2,e2)
| spl0_187 ),
inference(component_clause,[status(thm)],[f1214]) ).
fof(f1217,plain,
( ~ spl0_182
| spl0_186
| ~ spl0_187 ),
inference(split_clause,[status(thm)],[f359,f1193,f1211,f1214]) ).
fof(f1223,plain,
( spl0_189
<=> pd0_26 ),
introduced(split_symbol_definition) ).
fof(f1226,plain,
( ~ spl0_185
| spl0_189
| spl0_61 ),
inference(split_clause,[status(thm)],[f365,f1205,f1223,f697]) ).
fof(f1229,plain,
( spl0_190
<=> pd0_27 ),
introduced(split_symbol_definition) ).
fof(f1232,plain,
( spl0_191
<=> op(e1,e2) = op(e2,e1) ),
introduced(split_symbol_definition) ).
fof(f1234,plain,
( op(e1,e2) != op(e2,e1)
| spl0_191 ),
inference(component_clause,[status(thm)],[f1232]) ).
fof(f1235,plain,
( ~ spl0_186
| spl0_190
| ~ spl0_191 ),
inference(split_clause,[status(thm)],[f371,f1211,f1229,f1232]) ).
fof(f1236,plain,
( spl0_192
<=> op(op(e2,e1),e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f1237,plain,
( op(op(e2,e1),e1) = e2
| ~ spl0_192 ),
inference(component_clause,[status(thm)],[f1236]) ).
fof(f1239,plain,
( ~ spl0_186
| spl0_190
| spl0_192 ),
inference(split_clause,[status(thm)],[f372,f1211,f1229,f1236]) ).
fof(f1240,plain,
( spl0_193
<=> op(op(e2,e1),e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f1243,plain,
( ~ spl0_186
| spl0_190
| ~ spl0_193 ),
inference(split_clause,[status(thm)],[f373,f1211,f1229,f1240]) ).
fof(f1244,plain,
( spl0_194
<=> pd0_28 ),
introduced(split_symbol_definition) ).
fof(f1247,plain,
( ~ spl0_189
| spl0_194
| spl0_60 ),
inference(split_clause,[status(thm)],[f377,f1223,f1244,f694]) ).
fof(f1250,plain,
( spl0_195
<=> pd0_29 ),
introduced(split_symbol_definition) ).
fof(f1253,plain,
( spl0_196
<=> op(e0,e2) = op(e2,e0) ),
introduced(split_symbol_definition) ).
fof(f1254,plain,
( op(e0,e2) = op(e2,e0)
| ~ spl0_196 ),
inference(component_clause,[status(thm)],[f1253]) ).
fof(f1255,plain,
( op(e0,e2) != op(e2,e0)
| spl0_196 ),
inference(component_clause,[status(thm)],[f1253]) ).
fof(f1256,plain,
( ~ spl0_190
| spl0_195
| ~ spl0_196 ),
inference(split_clause,[status(thm)],[f383,f1229,f1250,f1253]) ).
fof(f1265,plain,
( spl0_199
<=> pd0_30 ),
introduced(split_symbol_definition) ).
fof(f1268,plain,
( ~ spl0_194
| spl0_199
| spl0_34 ),
inference(split_clause,[status(thm)],[f389,f1244,f1265,f610]) ).
fof(f1271,plain,
( spl0_200
<=> pd0_31 ),
introduced(split_symbol_definition) ).
fof(f1274,plain,
( ~ spl0_195
| spl0_200
| ~ spl0_146 ),
inference(split_clause,[status(thm)],[f395,f1250,f1271,f1037]) ).
fof(f1275,plain,
( spl0_201
<=> op(op(e1,e4),e4) = e1 ),
introduced(split_symbol_definition) ).
fof(f1276,plain,
( op(op(e1,e4),e4) = e1
| ~ spl0_201 ),
inference(component_clause,[status(thm)],[f1275]) ).
fof(f1278,plain,
( ~ spl0_195
| spl0_200
| spl0_201 ),
inference(split_clause,[status(thm)],[f396,f1250,f1271,f1275]) ).
fof(f1279,plain,
( spl0_202
<=> op(op(e1,e4),e1) = e4 ),
introduced(split_symbol_definition) ).
fof(f1280,plain,
( op(op(e1,e4),e1) = e4
| ~ spl0_202 ),
inference(component_clause,[status(thm)],[f1279]) ).
fof(f1281,plain,
( op(op(e1,e4),e1) != e4
| spl0_202 ),
inference(component_clause,[status(thm)],[f1279]) ).
fof(f1283,plain,
( spl0_203
<=> pd0_32 ),
introduced(split_symbol_definition) ).
fof(f1286,plain,
( ~ spl0_199
| spl0_203
| spl0_33 ),
inference(split_clause,[status(thm)],[f401,f1265,f1283,f607]) ).
fof(f1289,plain,
( spl0_204
<=> pd0_33 ),
introduced(split_symbol_definition) ).
fof(f1292,plain,
( ~ spl0_200
| spl0_204
| ~ spl0_169 ),
inference(split_clause,[status(thm)],[f407,f1271,f1289,f1136]) ).
fof(f1293,plain,
( spl0_205
<=> op(op(e1,e3),e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f1294,plain,
( op(op(e1,e3),e3) = e1
| ~ spl0_205 ),
inference(component_clause,[status(thm)],[f1293]) ).
fof(f1296,plain,
( ~ spl0_200
| spl0_204
| spl0_205 ),
inference(split_clause,[status(thm)],[f408,f1271,f1289,f1293]) ).
fof(f1297,plain,
( spl0_206
<=> op(op(e1,e3),e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f1299,plain,
( op(op(e1,e3),e1) != e3
| spl0_206 ),
inference(component_clause,[status(thm)],[f1297]) ).
fof(f1300,plain,
( ~ spl0_200
| spl0_204
| ~ spl0_206 ),
inference(split_clause,[status(thm)],[f409,f1271,f1289,f1297]) ).
fof(f1301,plain,
( spl0_207
<=> pd0_34 ),
introduced(split_symbol_definition) ).
fof(f1305,plain,
( ~ spl0_203
| spl0_207
| spl0_61 ),
inference(split_clause,[status(thm)],[f414,f1283,f1301,f697]) ).
fof(f1306,plain,
( ~ spl0_203
| spl0_207
| ~ spl0_36 ),
inference(split_clause,[status(thm)],[f415,f1283,f1301,f617]) ).
fof(f1307,plain,
( spl0_208
<=> pd0_35 ),
introduced(split_symbol_definition) ).
fof(f1310,plain,
( ~ spl0_204
| spl0_208
| ~ spl0_191 ),
inference(split_clause,[status(thm)],[f419,f1289,f1307,f1232]) ).
fof(f1311,plain,
( spl0_209
<=> op(op(e1,e2),e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f1312,plain,
( op(op(e1,e2),e2) = e1
| ~ spl0_209 ),
inference(component_clause,[status(thm)],[f1311]) ).
fof(f1314,plain,
( ~ spl0_204
| spl0_208
| spl0_209 ),
inference(split_clause,[status(thm)],[f420,f1289,f1307,f1311]) ).
fof(f1315,plain,
( spl0_210
<=> op(op(e1,e2),e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f1318,plain,
( ~ spl0_204
| spl0_208
| ~ spl0_210 ),
inference(split_clause,[status(thm)],[f421,f1289,f1307,f1315]) ).
fof(f1319,plain,
( spl0_211
<=> pd0_36 ),
introduced(split_symbol_definition) ).
fof(f1322,plain,
( ~ spl0_207
| spl0_211
| spl0_31 ),
inference(split_clause,[status(thm)],[f425,f1301,f1319,f601]) ).
fof(f1324,plain,
( ~ spl0_207
| spl0_211
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f427,f1301,f1319,f601]) ).
fof(f1325,plain,
( spl0_212
<=> pd0_37 ),
introduced(split_symbol_definition) ).
fof(f1328,plain,
( spl0_213
<=> op(e1,e1) = op(e1,e1) ),
introduced(split_symbol_definition) ).
fof(f1330,plain,
( op(e1,e1) != op(e1,e1)
| spl0_213 ),
inference(component_clause,[status(thm)],[f1328]) ).
fof(f1331,plain,
( ~ spl0_208
| spl0_212
| ~ spl0_213 ),
inference(split_clause,[status(thm)],[f431,f1307,f1325,f1328]) ).
fof(f1337,plain,
( spl0_215
<=> pd0_38 ),
introduced(split_symbol_definition) ).
fof(f1340,plain,
( ~ spl0_211
| spl0_215
| spl0_30 ),
inference(split_clause,[status(thm)],[f437,f1319,f1337,f598]) ).
fof(f1343,plain,
( spl0_216
<=> pd0_39 ),
introduced(split_symbol_definition) ).
fof(f1346,plain,
( spl0_217
<=> op(e0,e1) = op(e1,e0) ),
introduced(split_symbol_definition) ).
fof(f1347,plain,
( op(e0,e1) = op(e1,e0)
| ~ spl0_217 ),
inference(component_clause,[status(thm)],[f1346]) ).
fof(f1348,plain,
( op(e0,e1) != op(e1,e0)
| spl0_217 ),
inference(component_clause,[status(thm)],[f1346]) ).
fof(f1349,plain,
( ~ spl0_212
| spl0_216
| ~ spl0_217 ),
inference(split_clause,[status(thm)],[f443,f1325,f1343,f1346]) ).
fof(f1354,plain,
( spl0_219
<=> op(op(e1,e0),e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f1356,plain,
( op(op(e1,e0),e1) != e0
| spl0_219 ),
inference(component_clause,[status(thm)],[f1354]) ).
fof(f1357,plain,
( ~ spl0_212
| spl0_216
| ~ spl0_219 ),
inference(split_clause,[status(thm)],[f445,f1325,f1343,f1354]) ).
fof(f1358,plain,
( spl0_220
<=> pd0_40 ),
introduced(split_symbol_definition) ).
fof(f1362,plain,
( ~ spl0_215
| spl0_220
| spl0_120 ),
inference(split_clause,[status(thm)],[f450,f1337,f1358,f886]) ).
fof(f1364,plain,
( spl0_221
<=> pd0_41 ),
introduced(split_symbol_definition) ).
fof(f1368,plain,
( spl0_222
<=> op(op(e0,e4),e4) = e0 ),
introduced(split_symbol_definition) ).
fof(f1369,plain,
( op(op(e0,e4),e4) = e0
| ~ spl0_222 ),
inference(component_clause,[status(thm)],[f1368]) ).
fof(f1371,plain,
( ~ spl0_216
| spl0_221
| spl0_222 ),
inference(split_clause,[status(thm)],[f456,f1343,f1364,f1368]) ).
fof(f1372,plain,
( spl0_223
<=> op(op(e0,e4),e0) = e4 ),
introduced(split_symbol_definition) ).
fof(f1374,plain,
( op(op(e0,e4),e0) != e4
| spl0_223 ),
inference(component_clause,[status(thm)],[f1372]) ).
fof(f1376,plain,
( spl0_224
<=> pd0_42 ),
introduced(split_symbol_definition) ).
fof(f1379,plain,
( ~ spl0_220
| spl0_224
| spl0_3 ),
inference(split_clause,[status(thm)],[f461,f1358,f1376,f511]) ).
fof(f1380,plain,
( ~ spl0_220
| spl0_224
| spl0_90 ),
inference(split_clause,[status(thm)],[f462,f1358,f1376,f790]) ).
fof(f1382,plain,
( spl0_225
<=> pd0_43 ),
introduced(split_symbol_definition) ).
fof(f1385,plain,
( ~ spl0_221
| spl0_225
| ~ spl0_174 ),
inference(split_clause,[status(thm)],[f467,f1364,f1382,f1157]) ).
fof(f1394,plain,
( spl0_228
<=> pd0_44 ),
introduced(split_symbol_definition) ).
fof(f1397,plain,
( ~ spl0_224
| spl0_228
| spl0_2 ),
inference(split_clause,[status(thm)],[f473,f1376,f1394,f508]) ).
fof(f1398,plain,
( ~ spl0_224
| spl0_228
| spl0_60 ),
inference(split_clause,[status(thm)],[f474,f1376,f1394,f694]) ).
fof(f1400,plain,
( spl0_229
<=> pd0_45 ),
introduced(split_symbol_definition) ).
fof(f1403,plain,
( ~ spl0_225
| spl0_229
| ~ spl0_196 ),
inference(split_clause,[status(thm)],[f479,f1382,f1400,f1253]) ).
fof(f1412,plain,
( spl0_232
<=> pd0_46 ),
introduced(split_symbol_definition) ).
fof(f1416,plain,
( ~ spl0_228
| spl0_232
| spl0_30 ),
inference(split_clause,[status(thm)],[f486,f1394,f1412,f598]) ).
fof(f1418,plain,
( spl0_233
<=> pd0_47 ),
introduced(split_symbol_definition) ).
fof(f1421,plain,
( ~ spl0_229
| spl0_233
| ~ spl0_217 ),
inference(split_clause,[status(thm)],[f491,f1400,f1418,f1346]) ).
fof(f1422,plain,
( spl0_234
<=> op(op(e0,e1),e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f1423,plain,
( op(op(e0,e1),e1) = e0
| ~ spl0_234 ),
inference(component_clause,[status(thm)],[f1422]) ).
fof(f1425,plain,
( ~ spl0_229
| spl0_233
| spl0_234 ),
inference(split_clause,[status(thm)],[f492,f1400,f1418,f1422]) ).
fof(f1426,plain,
( spl0_235
<=> op(op(e0,e1),e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f1429,plain,
( ~ spl0_229
| spl0_233
| ~ spl0_235 ),
inference(split_clause,[status(thm)],[f493,f1400,f1418,f1426]) ).
fof(f1430,plain,
( ~ spl0_232
| spl0_0 ),
inference(split_clause,[status(thm)],[f495,f1412,f502]) ).
fof(f1432,plain,
( ~ spl0_232
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f497,f1412,f502]) ).
fof(f1433,plain,
( spl0_236
<=> op(e0,e0) = op(e0,e0) ),
introduced(split_symbol_definition) ).
fof(f1435,plain,
( op(e0,e0) != op(e0,e0)
| spl0_236 ),
inference(component_clause,[status(thm)],[f1433]) ).
fof(f1436,plain,
( ~ spl0_233
| ~ spl0_236 ),
inference(split_clause,[status(thm)],[f499,f1418,f1433]) ).
fof(f1442,plain,
( $false
| spl0_236 ),
inference(trivial_equality_resolution,[status(esa)],[f1435]) ).
fof(f1443,plain,
spl0_236,
inference(contradiction_clause,[status(thm)],[f1442]) ).
fof(f1444,plain,
( $false
| spl0_213 ),
inference(trivial_equality_resolution,[status(esa)],[f1330]) ).
fof(f1445,plain,
spl0_213,
inference(contradiction_clause,[status(thm)],[f1444]) ).
fof(f1446,plain,
( $false
| spl0_187 ),
inference(trivial_equality_resolution,[status(esa)],[f1216]) ).
fof(f1447,plain,
spl0_187,
inference(contradiction_clause,[status(thm)],[f1446]) ).
fof(f1448,plain,
( $false
| spl0_160 ),
inference(trivial_equality_resolution,[status(esa)],[f1099]) ).
fof(f1449,plain,
spl0_160,
inference(contradiction_clause,[status(thm)],[f1448]) ).
fof(f1450,plain,
( $false
| spl0_132 ),
inference(trivial_equality_resolution,[status(esa)],[f979]) ).
fof(f1451,plain,
spl0_132,
inference(contradiction_clause,[status(thm)],[f1450]) ).
fof(f1452,plain,
e0 = op(e1,e4),
inference(backward_demodulation,[status(thm)],[f206,f205]) ).
fof(f1453,plain,
op(e4,e3) != e1,
inference(backward_demodulation,[status(thm)],[f206,f194]) ).
fof(f1454,plain,
op(e4,e2) != e1,
inference(backward_demodulation,[status(thm)],[f206,f193]) ).
fof(f1456,plain,
op(e4,e0) != e1,
inference(backward_demodulation,[status(thm)],[f206,f188]) ).
fof(f1457,plain,
op(e3,e4) != e1,
inference(backward_demodulation,[status(thm)],[f206,f144]) ).
fof(f1458,plain,
op(e2,e4) != e1,
inference(backward_demodulation,[status(thm)],[f206,f143]) ).
fof(f1460,plain,
op(e0,e4) != e1,
inference(backward_demodulation,[status(thm)],[f206,f138]) ).
fof(f1461,plain,
e2 = op(op(e4,e1),e4),
inference(forward_demodulation,[status(thm)],[f206,f207]) ).
fof(f1463,plain,
e3 = op(e4,e1),
inference(forward_demodulation,[status(thm)],[f206,f208]) ).
fof(f1464,plain,
e2 = op(e3,e4),
inference(backward_demodulation,[status(thm)],[f1463,f1461]) ).
fof(f1465,plain,
e3 != op(e4,e3),
inference(backward_demodulation,[status(thm)],[f1463,f190]) ).
fof(f1466,plain,
e3 != op(e4,e2),
inference(backward_demodulation,[status(thm)],[f1463,f189]) ).
fof(f1467,plain,
op(e4,e0) != e3,
inference(backward_demodulation,[status(thm)],[f1463,f185]) ).
fof(f1468,plain,
op(e3,e1) != e3,
inference(backward_demodulation,[status(thm)],[f1463,f114]) ).
fof(f1469,plain,
op(e2,e1) != e3,
inference(backward_demodulation,[status(thm)],[f1463,f113]) ).
fof(f1470,plain,
op(e1,e1) != e3,
inference(backward_demodulation,[status(thm)],[f1463,f111]) ).
fof(f1471,plain,
op(e0,e1) != e3,
inference(backward_demodulation,[status(thm)],[f1463,f108]) ).
fof(f1472,plain,
( op(e3,e1) = e4
| ~ spl0_147 ),
inference(backward_demodulation,[status(thm)],[f1463,f1042]) ).
fof(f1472_001,plain,
( op(e3,e1) = e4
| ~ spl0_147 ),
inference(backward_demodulation,[status(thm)],[f1463,f1042]) ).
fof(f1475,plain,
( e4 != op(e3,e3)
| ~ spl0_147 ),
inference(backward_demodulation,[status(thm)],[f1472,f180]) ).
fof(f1476,plain,
( e4 != op(e3,e2)
| ~ spl0_147 ),
inference(backward_demodulation,[status(thm)],[f1472,f179]) ).
fof(f1482,plain,
( op(e1,e3) != e4
| ~ spl0_147
| spl0_169 ),
inference(backward_demodulation,[status(thm)],[f1472,f1138]) ).
fof(f1485,plain,
( e1 != op(e0,e3)
| ~ spl0_1 ),
inference(backward_demodulation,[status(thm)],[f506,f147]) ).
fof(f1486,plain,
( e1 != op(e0,e2)
| ~ spl0_1 ),
inference(backward_demodulation,[status(thm)],[f506,f146]) ).
fof(f1493,plain,
( e0 != op(e1,e4)
| ~ spl0_30 ),
inference(backward_demodulation,[status(thm)],[f599,f161]) ).
fof(f1499,plain,
( e1 = e3
| ~ spl0_123 ),
inference(forward_demodulation,[status(thm)],[f206,f896]) ).
fof(f1500,plain,
( $false
| ~ spl0_123 ),
inference(forward_subsumption_resolution,[status(thm)],[f1499,f200]) ).
fof(f1501,plain,
~ spl0_123,
inference(contradiction_clause,[status(thm)],[f1500]) ).
fof(f1503,plain,
( $false
| ~ spl0_147
| ~ spl0_94 ),
inference(forward_subsumption_resolution,[status(thm)],[f803,f1475]) ).
fof(f1504,plain,
( ~ spl0_147
| ~ spl0_94 ),
inference(contradiction_clause,[status(thm)],[f1503]) ).
fof(f1508,plain,
( op(e2,e0) != e0
| ~ spl0_60 ),
inference(backward_demodulation,[status(thm)],[f695,f166]) ).
fof(f1509,plain,
( e0 != op(e4,e2)
| ~ spl0_60 ),
inference(backward_demodulation,[status(thm)],[f695,f123]) ).
fof(f1520,plain,
( e0 != op(e4,e3)
| ~ spl0_90 ),
inference(backward_demodulation,[status(thm)],[f791,f134]) ).
fof(f1521,plain,
( op(e2,e3) != e0
| ~ spl0_90 ),
inference(backward_demodulation,[status(thm)],[f791,f132]) ).
fof(f1526,plain,
( e1 = e0
| ~ spl0_120 ),
inference(forward_demodulation,[status(thm)],[f206,f887]) ).
fof(f1527,plain,
( $false
| ~ spl0_120 ),
inference(forward_subsumption_resolution,[status(thm)],[f1526,f195]) ).
fof(f1528,plain,
~ spl0_120,
inference(contradiction_clause,[status(thm)],[f1527]) ).
fof(f1540,plain,
( op(e3,e1) != e4
| spl0_147 ),
inference(forward_demodulation,[status(thm)],[f1463,f1043]) ).
fof(f1550,plain,
( e1 = e2
| ~ spl0_122 ),
inference(forward_demodulation,[status(thm)],[f206,f893]) ).
fof(f1551,plain,
( $false
| ~ spl0_122 ),
inference(forward_subsumption_resolution,[status(thm)],[f1550,f199]) ).
fof(f1552,plain,
~ spl0_122,
inference(contradiction_clause,[status(thm)],[f1551]) ).
fof(f1554,plain,
( e3 = e4
| ~ spl0_63
| ~ spl0_64 ),
inference(forward_demodulation,[status(thm)],[f704,f707]) ).
fof(f1555,plain,
( $false
| ~ spl0_63
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[status(thm)],[f1554,f204]) ).
fof(f1556,plain,
( ~ spl0_63
| ~ spl0_64 ),
inference(contradiction_clause,[status(thm)],[f1555]) ).
fof(f1569,plain,
( op(e2,e3) != e4
| ~ spl0_74 ),
inference(backward_demodulation,[status(thm)],[f739,f174]) ).
fof(f1570,plain,
( op(e2,e1) != e4
| ~ spl0_74 ),
inference(backward_demodulation,[status(thm)],[f739,f171]) ).
fof(f1574,plain,
( op(e4,e4) = e2
| ~ spl0_74
| ~ spl0_179 ),
inference(backward_demodulation,[status(thm)],[f739,f1180]) ).
fof(f1575,plain,
( spl0_122
| ~ spl0_74
| ~ spl0_179 ),
inference(split_clause,[status(thm)],[f1574,f892,f738,f1179]) ).
fof(f1576,plain,
( e4 != op(e4,e2)
| ~ spl0_74
| spl0_141 ),
inference(backward_demodulation,[status(thm)],[f739,f1018]) ).
fof(f1577,plain,
( ~ spl0_114
| ~ spl0_74
| spl0_141 ),
inference(split_clause,[status(thm)],[f1576,f866,f738,f1016]) ).
fof(f1578,plain,
( op(e4,e2) != e4
| ~ spl0_74
| spl0_180 ),
inference(backward_demodulation,[status(thm)],[f739,f1185]) ).
fof(f1579,plain,
( ~ spl0_114
| ~ spl0_74
| spl0_180 ),
inference(split_clause,[status(thm)],[f1578,f866,f738,f1183]) ).
fof(f1588,plain,
( op(e0,e3) != e4
| ~ spl0_24 ),
inference(backward_demodulation,[status(thm)],[f579,f154]) ).
fof(f1589,plain,
( op(e0,e2) != e4
| ~ spl0_24 ),
inference(backward_demodulation,[status(thm)],[f579,f153]) ).
fof(f1590,plain,
( op(e0,e1) != e4
| ~ spl0_24 ),
inference(backward_demodulation,[status(thm)],[f579,f151]) ).
fof(f1591,plain,
( op(e4,e4) = e0
| ~ spl0_24
| ~ spl0_222 ),
inference(backward_demodulation,[status(thm)],[f579,f1369]) ).
fof(f1592,plain,
( spl0_120
| ~ spl0_24
| ~ spl0_222 ),
inference(split_clause,[status(thm)],[f1591,f886,f578,f1368]) ).
fof(f1594,plain,
( op(e4,e0) != e4
| ~ spl0_24
| spl0_223 ),
inference(backward_demodulation,[status(thm)],[f579,f1374]) ).
fof(f1626,plain,
( e3 = e2
| ~ spl0_107 ),
inference(forward_demodulation,[status(thm)],[f1463,f845]) ).
fof(f1627,plain,
( $false
| ~ spl0_107 ),
inference(forward_subsumption_resolution,[status(thm)],[f1626,f202]) ).
fof(f1628,plain,
~ spl0_107,
inference(contradiction_clause,[status(thm)],[f1627]) ).
fof(f1646,plain,
( e3 = e1
| ~ spl0_106 ),
inference(forward_demodulation,[status(thm)],[f1463,f842]) ).
fof(f1647,plain,
( $false
| ~ spl0_106 ),
inference(forward_subsumption_resolution,[status(thm)],[f1646,f200]) ).
fof(f1648,plain,
~ spl0_106,
inference(contradiction_clause,[status(thm)],[f1647]) ).
fof(f1653,plain,
( e3 = e0
| ~ spl0_105 ),
inference(forward_demodulation,[status(thm)],[f1463,f839]) ).
fof(f1654,plain,
( $false
| ~ spl0_105 ),
inference(forward_subsumption_resolution,[status(thm)],[f1653,f197]) ).
fof(f1655,plain,
~ spl0_105,
inference(contradiction_clause,[status(thm)],[f1654]) ).
fof(f1662,plain,
( op(e1,e3) != e4
| ~ spl0_69 ),
inference(backward_demodulation,[status(thm)],[f723,f129]) ).
fof(f1669,plain,
( e0 = e2
| ~ spl0_115
| ~ spl0_117 ),
inference(forward_demodulation,[status(thm)],[f871,f877]) ).
fof(f1670,plain,
( $false
| ~ spl0_115
| ~ spl0_117 ),
inference(forward_subsumption_resolution,[status(thm)],[f1669,f196]) ).
fof(f1671,plain,
( ~ spl0_115
| ~ spl0_117 ),
inference(contradiction_clause,[status(thm)],[f1670]) ).
fof(f1674,plain,
( op(e0,e3) != e4
| ~ spl0_44 ),
inference(backward_demodulation,[status(thm)],[f643,f125]) ).
fof(f1675,plain,
( op(e4,e3) = e1
| ~ spl0_44
| ~ spl0_205 ),
inference(backward_demodulation,[status(thm)],[f643,f1294]) ).
fof(f1676,plain,
( op(e4,e1) != e3
| ~ spl0_44
| spl0_206 ),
inference(backward_demodulation,[status(thm)],[f643,f1299]) ).
fof(f1677,plain,
( e3 != e3
| ~ spl0_44
| spl0_206 ),
inference(forward_demodulation,[status(thm)],[f1463,f1676]) ).
fof(f1678,plain,
( $false
| ~ spl0_44
| spl0_206 ),
inference(trivial_equality_resolution,[status(esa)],[f1677]) ).
fof(f1679,plain,
( ~ spl0_44
| spl0_206 ),
inference(contradiction_clause,[status(thm)],[f1678]) ).
fof(f1687,plain,
( op(e1,e2) != e4
| ~ spl0_89 ),
inference(backward_demodulation,[status(thm)],[f787,f120]) ).
fof(f1689,plain,
( op(e4,e2) = e3
| ~ spl0_89
| ~ spl0_165 ),
inference(backward_demodulation,[status(thm)],[f787,f1120]) ).
fof(f1690,plain,
( spl0_113
| ~ spl0_89
| ~ spl0_165 ),
inference(split_clause,[status(thm)],[f1689,f863,f786,f1119]) ).
fof(f1692,plain,
( $false
| spl0_147
| ~ spl0_84 ),
inference(forward_subsumption_resolution,[status(thm)],[f771,f1540]) ).
fof(f1693,plain,
( spl0_147
| ~ spl0_84 ),
inference(contradiction_clause,[status(thm)],[f1692]) ).
fof(f1696,plain,
( op(e4,e0) = e3
| ~ spl0_79
| ~ spl0_175 ),
inference(backward_demodulation,[status(thm)],[f755,f1162]) ).
fof(f1697,plain,
( spl0_103
| ~ spl0_79
| ~ spl0_175 ),
inference(split_clause,[status(thm)],[f1696,f831,f754,f1161]) ).
fof(f1698,plain,
( op(e4,e3) != e0
| ~ spl0_79
| spl0_176 ),
inference(backward_demodulation,[status(thm)],[f755,f1167]) ).
fof(f1699,plain,
( e3 = e2
| ~ spl0_43
| ~ spl0_42 ),
inference(forward_demodulation,[status(thm)],[f640,f637]) ).
fof(f1700,plain,
( $false
| ~ spl0_43
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[status(thm)],[f1699,f202]) ).
fof(f1701,plain,
( ~ spl0_43
| ~ spl0_42 ),
inference(contradiction_clause,[status(thm)],[f1700]) ).
fof(f1702,plain,
( e3 = e2
| ~ spl0_18
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f560,f557]) ).
fof(f1703,plain,
( $false
| ~ spl0_18
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[status(thm)],[f1702,f202]) ).
fof(f1704,plain,
( ~ spl0_18
| ~ spl0_17 ),
inference(contradiction_clause,[status(thm)],[f1703]) ).
fof(f1709,plain,
( e3 = e1
| ~ spl0_68
| ~ spl0_66 ),
inference(forward_demodulation,[status(thm)],[f720,f714]) ).
fof(f1710,plain,
( $false
| ~ spl0_68
| ~ spl0_66 ),
inference(forward_subsumption_resolution,[status(thm)],[f1709,f200]) ).
fof(f1711,plain,
( ~ spl0_68
| ~ spl0_66 ),
inference(contradiction_clause,[status(thm)],[f1710]) ).
fof(f1723,plain,
( op(e4,e2) = e1
| ~ spl0_39
| ~ spl0_209 ),
inference(backward_demodulation,[status(thm)],[f627,f1312]) ).
fof(f1724,plain,
( e0 = e1
| ~ spl0_110
| ~ spl0_39
| ~ spl0_209 ),
inference(forward_demodulation,[status(thm)],[f855,f1723]) ).
fof(f1725,plain,
( $false
| ~ spl0_110
| ~ spl0_39
| ~ spl0_209 ),
inference(forward_subsumption_resolution,[status(thm)],[f1724,f195]) ).
fof(f1726,plain,
( ~ spl0_110
| ~ spl0_39
| ~ spl0_209 ),
inference(contradiction_clause,[status(thm)],[f1725]) ).
fof(f1733,plain,
( op(e4,e1) = e2
| ~ spl0_59
| ~ spl0_192 ),
inference(backward_demodulation,[status(thm)],[f691,f1237]) ).
fof(f1734,plain,
( spl0_107
| ~ spl0_59
| ~ spl0_192 ),
inference(split_clause,[status(thm)],[f1733,f844,f690,f1236]) ).
fof(f1759,plain,
( e0 = e3
| ~ spl0_85
| ~ spl0_88 ),
inference(forward_demodulation,[status(thm)],[f775,f784]) ).
fof(f1760,plain,
( $false
| ~ spl0_85
| ~ spl0_88 ),
inference(forward_subsumption_resolution,[status(thm)],[f1759,f197]) ).
fof(f1761,plain,
( ~ spl0_85
| ~ spl0_88 ),
inference(contradiction_clause,[status(thm)],[f1760]) ).
fof(f1766,plain,
( e0 = e4
| ~ spl0_65
| ~ spl0_69 ),
inference(forward_demodulation,[status(thm)],[f711,f723]) ).
fof(f1767,plain,
( $false
| ~ spl0_65
| ~ spl0_69 ),
inference(forward_subsumption_resolution,[status(thm)],[f1766,f198]) ).
fof(f1768,plain,
( ~ spl0_65
| ~ spl0_69 ),
inference(contradiction_clause,[status(thm)],[f1767]) ).
fof(f1776,plain,
( e3 = e2
| ~ spl0_13
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f544,f541]) ).
fof(f1777,plain,
( $false
| ~ spl0_13
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f1776,f202]) ).
fof(f1778,plain,
( ~ spl0_13
| ~ spl0_12 ),
inference(contradiction_clause,[status(thm)],[f1777]) ).
fof(f1793,plain,
( e4 = e0
| ~ spl0_54
| ~ spl0_50 ),
inference(forward_demodulation,[status(thm)],[f675,f663]) ).
fof(f1794,plain,
( $false
| ~ spl0_54
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[status(thm)],[f1793,f198]) ).
fof(f1795,plain,
( ~ spl0_54
| ~ spl0_50 ),
inference(contradiction_clause,[status(thm)],[f1794]) ).
fof(f1797,plain,
( op(e4,e1) = e0
| ~ spl0_9
| ~ spl0_234 ),
inference(backward_demodulation,[status(thm)],[f531,f1423]) ).
fof(f1798,plain,
( spl0_105
| ~ spl0_9
| ~ spl0_234 ),
inference(split_clause,[status(thm)],[f1797,f838,f530,f1422]) ).
fof(f1810,plain,
( ~ spl0_19
| ~ spl0_44 ),
inference(split_clause,[status(thm)],[f1674,f562,f642]) ).
fof(f1811,plain,
( spl0_116
| ~ spl0_44
| ~ spl0_205 ),
inference(split_clause,[status(thm)],[f1675,f873,f642,f1293]) ).
fof(f1813,plain,
( e0 = e4
| ~ spl0_80
| ~ spl0_84 ),
inference(forward_demodulation,[status(thm)],[f759,f771]) ).
fof(f1814,plain,
( $false
| ~ spl0_80
| ~ spl0_84 ),
inference(forward_subsumption_resolution,[status(thm)],[f1813,f198]) ).
fof(f1815,plain,
( ~ spl0_80
| ~ spl0_84 ),
inference(contradiction_clause,[status(thm)],[f1814]) ).
fof(f1816,plain,
( spl0_84
| ~ spl0_147 ),
inference(split_clause,[status(thm)],[f1472,f770,f1041]) ).
fof(f1818,plain,
( ~ spl0_89
| ~ spl0_147 ),
inference(split_clause,[status(thm)],[f1476,f786,f1041]) ).
fof(f1833,plain,
( e4 = e3
| ~ spl0_29
| ~ spl0_28 ),
inference(forward_demodulation,[status(thm)],[f595,f592]) ).
fof(f1834,plain,
( $false
| ~ spl0_29
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[status(thm)],[f1833,f204]) ).
fof(f1835,plain,
( ~ spl0_29
| ~ spl0_28 ),
inference(contradiction_clause,[status(thm)],[f1834]) ).
fof(f1842,plain,
( op(e4,e4) = e4
| ~ spl0_129 ),
inference(backward_demodulation,[status(thm)],[f915,f43]) ).
fof(f1843,plain,
( e1 = e4
| ~ spl0_129 ),
inference(forward_demodulation,[status(thm)],[f206,f1842]) ).
fof(f1844,plain,
( $false
| ~ spl0_129 ),
inference(forward_subsumption_resolution,[status(thm)],[f1843,f201]) ).
fof(f1845,plain,
~ spl0_129,
inference(contradiction_clause,[status(thm)],[f1844]) ).
fof(f1852,plain,
( e1 = e4
| ~ spl0_124 ),
inference(forward_demodulation,[status(thm)],[f206,f899]) ).
fof(f1853,plain,
( $false
| ~ spl0_124 ),
inference(forward_subsumption_resolution,[status(thm)],[f1852,f201]) ).
fof(f1854,plain,
~ spl0_124,
inference(contradiction_clause,[status(thm)],[f1853]) ).
fof(f1860,plain,
( e2 = e0
| ~ spl0_95 ),
inference(forward_demodulation,[status(thm)],[f807,f1464]) ).
fof(f1861,plain,
( $false
| ~ spl0_95 ),
inference(forward_subsumption_resolution,[status(thm)],[f1860,f196]) ).
fof(f1862,plain,
~ spl0_95,
inference(contradiction_clause,[status(thm)],[f1861]) ).
fof(f1863,plain,
( e0 = e2
| ~ spl0_0
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f503,f509]) ).
fof(f1864,plain,
( $false
| ~ spl0_0
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f1863,f196]) ).
fof(f1865,plain,
( ~ spl0_0
| ~ spl0_2 ),
inference(contradiction_clause,[status(thm)],[f1864]) ).
fof(f1866,plain,
( e0 = e1
| ~ spl0_0
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f503,f506]) ).
fof(f1867,plain,
( $false
| ~ spl0_0
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f1866,f195]) ).
fof(f1868,plain,
( ~ spl0_0
| ~ spl0_1 ),
inference(contradiction_clause,[status(thm)],[f1867]) ).
fof(f1873,plain,
( e0 != op(e0,e2)
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f503,f146]) ).
fof(f1874,plain,
( e0 != op(e0,e1)
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f503,f145]) ).
fof(f1876,plain,
( e0 != op(e4,e0)
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f503,f98]) ).
fof(f1877,plain,
( e0 != op(e3,e0)
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f503,f97]) ).
fof(f1878,plain,
( e0 != e0
| ~ spl0_75
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f743,f1877]) ).
fof(f1879,plain,
( $false
| ~ spl0_75
| ~ spl0_0 ),
inference(trivial_equality_resolution,[status(esa)],[f1878]) ).
fof(f1880,plain,
( ~ spl0_75
| ~ spl0_0 ),
inference(contradiction_clause,[status(thm)],[f1879]) ).
fof(f1886,plain,
( op(e0,e4) = e1
| ~ spl0_201 ),
inference(forward_demodulation,[status(thm)],[f1452,f1276]) ).
fof(f1887,plain,
( $false
| ~ spl0_201 ),
inference(forward_subsumption_resolution,[status(thm)],[f1886,f1460]) ).
fof(f1888,plain,
~ spl0_201,
inference(contradiction_clause,[status(thm)],[f1887]) ).
fof(f1890,plain,
( op(e0,e1) != e4
| spl0_202 ),
inference(forward_demodulation,[status(thm)],[f1452,f1281]) ).
fof(f1897,plain,
( ~ spl0_5
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f1874,f518,f502]) ).
fof(f1906,plain,
( op(e3,e0) != e3
| ~ spl0_93 ),
inference(forward_demodulation,[status(thm)],[f800,f177]) ).
fof(f1908,plain,
( op(e2,e3) != e3
| ~ spl0_93 ),
inference(forward_demodulation,[status(thm)],[f800,f132]) ).
fof(f1915,plain,
( $false
| ~ spl0_101 ),
inference(forward_subsumption_resolution,[status(thm)],[f826,f1456]) ).
fof(f1916,plain,
~ spl0_101,
inference(contradiction_clause,[status(thm)],[f1915]) ).
fof(f1917,plain,
( e1 = e3
| ~ spl0_26
| ~ spl0_28 ),
inference(forward_demodulation,[status(thm)],[f586,f592]) ).
fof(f1918,plain,
( $false
| ~ spl0_26
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[status(thm)],[f1917,f200]) ).
fof(f1919,plain,
( ~ spl0_26
| ~ spl0_28 ),
inference(contradiction_clause,[status(thm)],[f1918]) ).
fof(f1927,plain,
( e2 != op(e2,e3)
| ~ spl0_62 ),
inference(forward_demodulation,[status(thm)],[f701,f172]) ).
fof(f1928,plain,
( op(e2,e1) != e2
| ~ spl0_62 ),
inference(forward_demodulation,[status(thm)],[f701,f169]) ).
fof(f1930,plain,
( e2 != op(e4,e2)
| ~ spl0_62 ),
inference(forward_demodulation,[status(thm)],[f701,f123]) ).
fof(f1932,plain,
( op(e1,e2) != e2
| ~ spl0_62 ),
inference(forward_demodulation,[status(thm)],[f701,f119]) ).
fof(f1933,plain,
( op(e0,e2) != e2
| ~ spl0_62 ),
inference(forward_demodulation,[status(thm)],[f701,f116]) ).
fof(f1935,plain,
( e0 != op(e3,e1)
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f519,f107]) ).
fof(f1939,plain,
( $false
| ~ spl0_62
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f541,f1933]) ).
fof(f1940,plain,
( ~ spl0_62
| ~ spl0_12 ),
inference(contradiction_clause,[status(thm)],[f1939]) ).
fof(f1944,plain,
( e4 != op(e2,e1)
| ~ spl0_34 ),
inference(backward_demodulation,[status(thm)],[f611,f109]) ).
fof(f1947,plain,
( e4 != op(e1,e3)
| ~ spl0_34 ),
inference(backward_demodulation,[status(thm)],[f611,f160]) ).
fof(f1949,plain,
( e4 != op(e3,e1)
| ~ spl0_34 ),
inference(backward_demodulation,[status(thm)],[f611,f110]) ).
fof(f1950,plain,
( ~ spl0_84
| ~ spl0_34 ),
inference(split_clause,[status(thm)],[f1949,f770,f610]) ).
fof(f1954,plain,
( e0 = e3
| ~ spl0_70
| ~ spl0_73 ),
inference(forward_demodulation,[status(thm)],[f727,f736]) ).
fof(f1955,plain,
( $false
| ~ spl0_70
| ~ spl0_73 ),
inference(forward_subsumption_resolution,[status(thm)],[f1954,f197]) ).
fof(f1956,plain,
( ~ spl0_70
| ~ spl0_73 ),
inference(contradiction_clause,[status(thm)],[f1955]) ).
fof(f1957,plain,
( $false
| ~ spl0_5
| ~ spl0_80 ),
inference(forward_subsumption_resolution,[status(thm)],[f759,f1935]) ).
fof(f1958,plain,
( ~ spl0_5
| ~ spl0_80 ),
inference(contradiction_clause,[status(thm)],[f1957]) ).
fof(f1959,plain,
( $false
| ~ spl0_118 ),
inference(forward_subsumption_resolution,[status(thm)],[f880,f1465]) ).
fof(f1960,plain,
~ spl0_118,
inference(contradiction_clause,[status(thm)],[f1959]) ).
fof(f1965,plain,
( ~ spl0_11
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f1486,f537,f505]) ).
fof(f1970,plain,
( e0 = e2
| ~ spl0_47 ),
inference(forward_demodulation,[status(thm)],[f1452,f653]) ).
fof(f1971,plain,
( $false
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[status(thm)],[f1970,f196]) ).
fof(f1972,plain,
~ spl0_47,
inference(contradiction_clause,[status(thm)],[f1971]) ).
fof(f1973,plain,
( $false
| ~ spl0_116 ),
inference(forward_subsumption_resolution,[status(thm)],[f874,f1453]) ).
fof(f1974,plain,
~ spl0_116,
inference(contradiction_clause,[status(thm)],[f1973]) ).
fof(f1980,plain,
( ~ spl0_10
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f1873,f534,f502]) ).
fof(f1988,plain,
( ~ spl0_57
| ~ spl0_62 ),
inference(split_clause,[status(thm)],[f1928,f684,f700]) ).
fof(f1990,plain,
( $false
| ~ spl0_111 ),
inference(forward_subsumption_resolution,[status(thm)],[f858,f1454]) ).
fof(f1991,plain,
~ spl0_111,
inference(contradiction_clause,[status(thm)],[f1990]) ).
fof(f2000,plain,
( ~ spl0_50
| ~ spl0_60 ),
inference(split_clause,[status(thm)],[f1508,f662,f694]) ).
fof(f2001,plain,
( ~ spl0_110
| ~ spl0_60 ),
inference(split_clause,[status(thm)],[f1509,f854,f694]) ).
fof(f2003,plain,
( e4 = e2
| ~ spl0_34
| ~ spl0_32 ),
inference(forward_demodulation,[status(thm)],[f611,f605]) ).
fof(f2004,plain,
( $false
| ~ spl0_34
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[status(thm)],[f2003,f203]) ).
fof(f2005,plain,
( ~ spl0_34
| ~ spl0_32 ),
inference(contradiction_clause,[status(thm)],[f2004]) ).
fof(f2010,plain,
( e3 = e4
| ~ spl0_109 ),
inference(forward_demodulation,[status(thm)],[f1463,f851]) ).
fof(f2011,plain,
( $false
| ~ spl0_109 ),
inference(forward_subsumption_resolution,[status(thm)],[f2010,f204]) ).
fof(f2012,plain,
~ spl0_109,
inference(contradiction_clause,[status(thm)],[f2011]) ).
fof(f2013,plain,
( e0 = e1
| ~ spl0_46 ),
inference(forward_demodulation,[status(thm)],[f1452,f650]) ).
fof(f2014,plain,
( $false
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[status(thm)],[f2013,f195]) ).
fof(f2015,plain,
~ spl0_46,
inference(contradiction_clause,[status(thm)],[f2014]) ).
fof(f2016,plain,
( $false
| ~ spl0_113 ),
inference(forward_subsumption_resolution,[status(thm)],[f864,f1466]) ).
fof(f2017,plain,
~ spl0_113,
inference(contradiction_clause,[status(thm)],[f2016]) ).
fof(f2027,plain,
( $false
| ~ spl0_103 ),
inference(forward_subsumption_resolution,[status(thm)],[f832,f1467]) ).
fof(f2028,plain,
~ spl0_103,
inference(contradiction_clause,[status(thm)],[f2027]) ).
fof(f2032,plain,
( e2 != op(e3,e4)
| ~ spl0_72 ),
inference(backward_demodulation,[status(thm)],[f733,f142]) ).
fof(f2046,plain,
op(e1,e2) != e0,
inference(forward_demodulation,[status(thm)],[f1452,f163]) ).
fof(f2047,plain,
op(e1,e0) != e0,
inference(forward_demodulation,[status(thm)],[f1452,f158]) ).
fof(f2048,plain,
op(e0,e4) != e0,
inference(forward_demodulation,[status(thm)],[f1452,f135]) ).
fof(f2049,plain,
( e4 != op(e4,e2)
| ~ spl0_104 ),
inference(forward_demodulation,[status(thm)],[f835,f186]) ).
fof(f2051,plain,
( op(e2,e0) != e4
| ~ spl0_104 ),
inference(forward_demodulation,[status(thm)],[f835,f103]) ).
fof(f2052,plain,
( op(e1,e0) != e4
| ~ spl0_104 ),
inference(forward_demodulation,[status(thm)],[f835,f101]) ).
fof(f2053,plain,
( $false
| ~ spl0_96 ),
inference(forward_subsumption_resolution,[status(thm)],[f810,f1457]) ).
fof(f2054,plain,
~ spl0_96,
inference(contradiction_clause,[status(thm)],[f2053]) ).
fof(f2057,plain,
( op(e1,e2) != e1
| ~ spl0_41 ),
inference(forward_demodulation,[status(thm)],[f634,f162]) ).
fof(f2066,plain,
( $false
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[status(thm)],[f615,f2046]) ).
fof(f2067,plain,
~ spl0_35,
inference(contradiction_clause,[status(thm)],[f2066]) ).
fof(f2068,plain,
op(e1,e3) != e0,
inference(forward_demodulation,[status(thm)],[f1452,f164]) ).
fof(f2071,plain,
( op(e1,e2) != e1
| ~ spl0_86 ),
inference(backward_demodulation,[status(thm)],[f778,f120]) ).
fof(f2072,plain,
( ~ spl0_36
| ~ spl0_86 ),
inference(split_clause,[status(thm)],[f2071,f617,f777]) ).
fof(f2078,plain,
( op(e2,e3) != e1
| ~ spl0_86
| spl0_164 ),
inference(backward_demodulation,[status(thm)],[f778,f1117]) ).
fof(f2080,plain,
( op(e2,e1) != e1
| ~ spl0_81 ),
inference(backward_demodulation,[status(thm)],[f762,f112]) ).
fof(f2094,plain,
( op(e0,e3) != e1
| ~ spl0_76
| spl0_174 ),
inference(backward_demodulation,[status(thm)],[f746,f1159]) ).
fof(f2095,plain,
( ~ spl0_16
| ~ spl0_76
| spl0_174 ),
inference(split_clause,[status(thm)],[f2094,f553,f745,f1157]) ).
fof(f2097,plain,
( $false
| ~ spl0_58 ),
inference(forward_subsumption_resolution,[status(thm)],[f688,f1469]) ).
fof(f2098,plain,
~ spl0_58,
inference(contradiction_clause,[status(thm)],[f2097]) ).
fof(f2101,plain,
( $false
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f528,f1471]) ).
fof(f2102,plain,
~ spl0_8,
inference(contradiction_clause,[status(thm)],[f2101]) ).
fof(f2103,plain,
( $false
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[status(thm)],[f583,f2047]) ).
fof(f2104,plain,
~ spl0_25,
inference(contradiction_clause,[status(thm)],[f2103]) ).
fof(f2109,plain,
( ~ spl0_56
| ~ spl0_81 ),
inference(split_clause,[status(thm)],[f2080,f681,f761]) ).
fof(f2110,plain,
( op(e4,e2) != e0
| ~ spl0_115 ),
inference(backward_demodulation,[status(thm)],[f871,f192]) ).
fof(f2111,plain,
( ~ spl0_110
| ~ spl0_115 ),
inference(split_clause,[status(thm)],[f2110,f854,f870]) ).
fof(f2112,plain,
( op(e0,e3) != e0
| ~ spl0_115 ),
inference(backward_demodulation,[status(thm)],[f871,f128]) ).
fof(f2119,plain,
( $false
| ~ spl0_104
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[status(thm)],[f675,f2051]) ).
fof(f2120,plain,
( ~ spl0_104
| ~ spl0_54 ),
inference(contradiction_clause,[status(thm)],[f2119]) ).
fof(f2124,plain,
( op(e0,e4) != e3
| ~ spl0_115
| spl0_138 ),
inference(forward_demodulation,[status(thm)],[f871,f1005]) ).
fof(f2129,plain,
( op(e0,e0) = e0
| ~ spl0_125 ),
inference(backward_demodulation,[status(thm)],[f903,f34]) ).
fof(f2130,plain,
( spl0_0
| ~ spl0_125 ),
inference(split_clause,[status(thm)],[f2129,f502,f902]) ).
fof(f2133,plain,
( op(e0,e1) = e1
| ~ spl0_125 ),
inference(backward_demodulation,[status(thm)],[f903,f36]) ).
fof(f2134,plain,
( spl0_6
| ~ spl0_125 ),
inference(split_clause,[status(thm)],[f2133,f521,f902]) ).
fof(f2135,plain,
( op(e1,e0) = e1
| ~ spl0_125 ),
inference(backward_demodulation,[status(thm)],[f903,f37]) ).
fof(f2136,plain,
( op(e0,e2) = e2
| ~ spl0_125 ),
inference(backward_demodulation,[status(thm)],[f903,f38]) ).
fof(f2137,plain,
( spl0_12
| ~ spl0_125 ),
inference(split_clause,[status(thm)],[f2136,f540,f902]) ).
fof(f2138,plain,
( op(e2,e0) = e2
| ~ spl0_125 ),
inference(backward_demodulation,[status(thm)],[f903,f39]) ).
fof(f2139,plain,
( spl0_52
| ~ spl0_125 ),
inference(split_clause,[status(thm)],[f2138,f668,f902]) ).
fof(f2140,plain,
( op(e0,e3) = e3
| ~ spl0_125 ),
inference(backward_demodulation,[status(thm)],[f903,f40]) ).
fof(f2142,plain,
( op(e0,e4) = e4
| ~ spl0_125 ),
inference(backward_demodulation,[status(thm)],[f903,f42]) ).
fof(f2143,plain,
( spl0_24
| ~ spl0_125 ),
inference(split_clause,[status(thm)],[f2142,f578,f902]) ).
fof(f2144,plain,
( op(e4,e0) = e4
| ~ spl0_125 ),
inference(backward_demodulation,[status(thm)],[f903,f43]) ).
fof(f2151,plain,
( e0 = e4
| ~ spl0_49 ),
inference(forward_demodulation,[status(thm)],[f1452,f659]) ).
fof(f2152,plain,
( $false
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[status(thm)],[f2151,f198]) ).
fof(f2153,plain,
~ spl0_49,
inference(contradiction_clause,[status(thm)],[f2152]) ).
fof(f2156,plain,
( op(e0,e4) != e4
| ~ spl0_104
| spl0_151 ),
inference(forward_demodulation,[status(thm)],[f835,f1060]) ).
fof(f2157,plain,
( ~ spl0_24
| ~ spl0_104
| spl0_151 ),
inference(split_clause,[status(thm)],[f2156,f578,f834,f1058]) ).
fof(f2158,plain,
( ~ spl0_19
| ~ spl0_24 ),
inference(split_clause,[status(thm)],[f1588,f562,f578]) ).
fof(f2159,plain,
( ~ spl0_9
| ~ spl0_24 ),
inference(split_clause,[status(thm)],[f1590,f530,f578]) ).
fof(f2163,plain,
( $false
| spl0_202
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f531,f1890]) ).
fof(f2164,plain,
( spl0_202
| ~ spl0_9 ),
inference(contradiction_clause,[status(thm)],[f2163]) ).
fof(f2165,plain,
( e0 = e3
| ~ spl0_48 ),
inference(forward_demodulation,[status(thm)],[f1452,f656]) ).
fof(f2166,plain,
( $false
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[status(thm)],[f2165,f197]) ).
fof(f2167,plain,
~ spl0_48,
inference(contradiction_clause,[status(thm)],[f2166]) ).
fof(f2169,plain,
( ~ spl0_59
| ~ spl0_74 ),
inference(split_clause,[status(thm)],[f1570,f690,f738]) ).
fof(f2175,plain,
( ~ spl0_15
| ~ spl0_115 ),
inference(split_clause,[status(thm)],[f2112,f550,f870]) ).
fof(f2178,plain,
( $false
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[status(thm)],[f567,f2048]) ).
fof(f2179,plain,
~ spl0_20,
inference(contradiction_clause,[status(thm)],[f2178]) ).
fof(f2180,plain,
( op(e0,e1) = e4
| ~ spl0_202 ),
inference(forward_demodulation,[status(thm)],[f1452,f1280]) ).
fof(f2185,plain,
( e3 != op(e2,e4)
| ~ spl0_141 ),
inference(backward_demodulation,[status(thm)],[f1017,f1466]) ).
fof(f2186,plain,
( ~ spl0_73
| ~ spl0_141 ),
inference(split_clause,[status(thm)],[f2185,f735,f1016]) ).
fof(f2191,plain,
( ~ spl0_97
| ~ spl0_72 ),
inference(split_clause,[status(thm)],[f2032,f812,f732]) ).
fof(f2192,plain,
( op(e2,e4) = e4
| ~ spl0_141
| ~ spl0_114 ),
inference(forward_demodulation,[status(thm)],[f1017,f867]) ).
fof(f2193,plain,
( ~ spl0_112
| ~ spl0_62 ),
inference(split_clause,[status(thm)],[f1930,f860,f700]) ).
fof(f2194,plain,
( ~ spl0_37
| ~ spl0_62 ),
inference(split_clause,[status(thm)],[f1932,f620,f700]) ).
fof(f2196,plain,
( ~ spl0_44
| ~ spl0_147
| spl0_169 ),
inference(split_clause,[status(thm)],[f1482,f642,f1041,f1136]) ).
fof(f2197,plain,
( ~ spl0_44
| ~ spl0_69 ),
inference(split_clause,[status(thm)],[f1662,f642,f722]) ).
fof(f2215,plain,
( ~ spl0_115
| ~ spl0_79
| spl0_176 ),
inference(split_clause,[status(thm)],[f1698,f870,f754,f1165]) ).
fof(f2218,plain,
( ~ spl0_36
| ~ spl0_41 ),
inference(split_clause,[status(thm)],[f2057,f617,f633]) ).
fof(f2223,plain,
( ~ spl0_23
| ~ spl0_115
| spl0_138 ),
inference(split_clause,[status(thm)],[f2124,f575,f870,f1003]) ).
fof(f2225,plain,
op(e0,e4) != e2,
inference(backward_demodulation,[status(thm)],[f1464,f137]) ).
fof(f2235,plain,
( e2 != op(e3,e4)
| ~ spl0_92 ),
inference(forward_demodulation,[status(thm)],[f797,f184]) ).
fof(f2236,plain,
( e2 != e2
| ~ spl0_92 ),
inference(forward_demodulation,[status(thm)],[f1464,f2235]) ).
fof(f2237,plain,
( $false
| ~ spl0_92 ),
inference(trivial_equality_resolution,[status(esa)],[f2236]) ).
fof(f2238,plain,
~ spl0_92,
inference(contradiction_clause,[status(thm)],[f2237]) ).
fof(f2239,plain,
( e2 != op(e4,e3)
| spl0_136 ),
inference(forward_demodulation,[status(thm)],[f1464,f997]) ).
fof(f2240,plain,
( e4 != op(e4,e3)
| ~ spl0_104 ),
inference(forward_demodulation,[status(thm)],[f835,f187]) ).
fof(f2244,plain,
( ~ spl0_115
| ~ spl0_90 ),
inference(split_clause,[status(thm)],[f1520,f870,f790]) ).
fof(f2254,plain,
( e2 != op(e4,e0)
| ~ spl0_2 ),
inference(backward_demodulation,[status(thm)],[f509,f98]) ).
fof(f2255,plain,
( ~ spl0_102
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f2254,f828,f508]) ).
fof(f2259,plain,
( e2 = op(e4,e3)
| ~ spl0_136 ),
inference(forward_demodulation,[status(thm)],[f1464,f996]) ).
fof(f2260,plain,
( ~ spl0_45
| ~ spl0_30 ),
inference(split_clause,[status(thm)],[f1493,f646,f598]) ).
fof(f2264,plain,
( e2 = e4
| ~ spl0_99 ),
inference(forward_demodulation,[status(thm)],[f1464,f819]) ).
fof(f2265,plain,
( $false
| ~ spl0_99 ),
inference(forward_subsumption_resolution,[status(thm)],[f2264,f203]) ).
fof(f2266,plain,
~ spl0_99,
inference(contradiction_clause,[status(thm)],[f2265]) ).
fof(f2267,plain,
( e2 != e2
| spl0_97 ),
inference(forward_demodulation,[status(thm)],[f1464,f814]) ).
fof(f2268,plain,
( $false
| spl0_97 ),
inference(trivial_equality_resolution,[status(esa)],[f2267]) ).
fof(f2269,plain,
spl0_97,
inference(contradiction_clause,[status(thm)],[f2268]) ).
fof(f2270,plain,
( op(e2,e4) = e3
| ~ spl0_156 ),
inference(forward_demodulation,[status(thm)],[f1464,f1081]) ).
fof(f2271,plain,
( $false
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[status(thm)],[f608,f1470]) ).
fof(f2272,plain,
~ spl0_33,
inference(contradiction_clause,[status(thm)],[f2271]) ).
fof(f2274,plain,
( ~ spl0_67
| ~ spl0_62 ),
inference(split_clause,[status(thm)],[f1927,f716,f700]) ).
fof(f2277,plain,
( ~ spl0_16
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f1485,f553,f505]) ).
fof(f2280,plain,
( ~ spl0_119
| ~ spl0_104 ),
inference(split_clause,[status(thm)],[f2240,f882,f834]) ).
fof(f2283,plain,
op(e3,e2) != e2,
inference(forward_demodulation,[status(thm)],[f1464,f183]) ).
fof(f2284,plain,
op(e3,e1) != e2,
inference(forward_demodulation,[status(thm)],[f1464,f181]) ).
fof(f2286,plain,
op(e3,e0) != e2,
inference(forward_demodulation,[status(thm)],[f1464,f178]) ).
fof(f2287,plain,
( op(e4,e1) = e4
| ~ spl0_126 ),
inference(backward_demodulation,[status(thm)],[f906,f43]) ).
fof(f2288,plain,
( spl0_109
| ~ spl0_126 ),
inference(split_clause,[status(thm)],[f2287,f850,f905]) ).
fof(f2307,plain,
( $false
| ~ spl0_87 ),
inference(forward_subsumption_resolution,[status(thm)],[f781,f2283]) ).
fof(f2308,plain,
~ spl0_87,
inference(contradiction_clause,[status(thm)],[f2307]) ).
fof(f2309,plain,
( $false
| ~ spl0_71 ),
inference(forward_subsumption_resolution,[status(thm)],[f730,f1458]) ).
fof(f2310,plain,
~ spl0_71,
inference(contradiction_clause,[status(thm)],[f2309]) ).
fof(f2312,plain,
( ~ spl0_78
| ~ spl0_93 ),
inference(split_clause,[status(thm)],[f1906,f751,f799]) ).
fof(f2315,plain,
( ~ spl0_66
| ~ spl0_86
| spl0_164 ),
inference(split_clause,[status(thm)],[f2078,f713,f777,f1115]) ).
fof(f2317,plain,
( $false
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[status(thm)],[f631,f2068]) ).
fof(f2318,plain,
~ spl0_40,
inference(contradiction_clause,[status(thm)],[f2317]) ).
fof(f2320,plain,
( $false
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[status(thm)],[f570,f1460]) ).
fof(f2321,plain,
~ spl0_21,
inference(contradiction_clause,[status(thm)],[f2320]) ).
fof(f2326,plain,
( op(e1,e1) != e1
| ~ spl0_56 ),
inference(backward_demodulation,[status(thm)],[f682,f109]) ).
fof(f2327,plain,
( ~ spl0_31
| ~ spl0_56 ),
inference(split_clause,[status(thm)],[f2326,f601,f681]) ).
fof(f2329,plain,
( op(e0,e1) != e1
| ~ spl0_56 ),
inference(backward_demodulation,[status(thm)],[f682,f106]) ).
fof(f2330,plain,
( op(e2,e0) != e1
| ~ spl0_56 ),
inference(backward_demodulation,[status(thm)],[f682,f165]) ).
fof(f2333,plain,
( op(e1,e2) != e1
| ~ spl0_56
| spl0_191 ),
inference(backward_demodulation,[status(thm)],[f682,f1234]) ).
fof(f2334,plain,
( op(e3,e2) != e1
| ~ spl0_91 ),
inference(forward_demodulation,[status(thm)],[f794,f182]) ).
fof(f2335,plain,
( op(e3,e0) != e1
| ~ spl0_91 ),
inference(forward_demodulation,[status(thm)],[f794,f177]) ).
fof(f2337,plain,
( op(e2,e3) != e1
| ~ spl0_91 ),
inference(forward_demodulation,[status(thm)],[f794,f132]) ).
fof(f2345,plain,
( op(e3,e0) != e3
| ~ spl0_88 ),
inference(backward_demodulation,[status(thm)],[f784,f176]) ).
fof(f2349,plain,
( op(e2,e3) != e3
| ~ spl0_88
| spl0_164 ),
inference(backward_demodulation,[status(thm)],[f784,f1117]) ).
fof(f2350,plain,
( ~ spl0_68
| ~ spl0_88
| spl0_164 ),
inference(split_clause,[status(thm)],[f2349,f719,f783,f1115]) ).
fof(f2361,plain,
( op(e0,e0) != e4
| ~ spl0_202 ),
inference(backward_demodulation,[status(thm)],[f2180,f145]) ).
fof(f2368,plain,
( op(e0,e0) != e3
| ~ spl0_23 ),
inference(backward_demodulation,[status(thm)],[f576,f148]) ).
fof(f2369,plain,
( ~ spl0_3
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f2368,f511,f575]) ).
fof(f2370,plain,
( op(e0,e3) != e3
| ~ spl0_23 ),
inference(backward_demodulation,[status(thm)],[f576,f154]) ).
fof(f2378,plain,
( ~ spl0_76
| ~ spl0_91 ),
inference(split_clause,[status(thm)],[f2335,f745,f793]) ).
fof(f2385,plain,
( e4 != op(e4,e2)
| ~ spl0_39 ),
inference(backward_demodulation,[status(thm)],[f627,f121]) ).
fof(f2392,plain,
( e1 != op(e2,e3)
| ~ spl0_61 ),
inference(backward_demodulation,[status(thm)],[f698,f172]) ).
fof(f2393,plain,
( ~ spl0_66
| ~ spl0_61 ),
inference(split_clause,[status(thm)],[f2392,f713,f697]) ).
fof(f2397,plain,
( op(e1,e2) != e1
| ~ spl0_61 ),
inference(forward_demodulation,[status(thm)],[f698,f119]) ).
fof(f2399,plain,
( e1 = e4
| ~ spl0_61
| ~ spl0_64 ),
inference(forward_demodulation,[status(thm)],[f698,f707]) ).
fof(f2400,plain,
( $false
| ~ spl0_61
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[status(thm)],[f2399,f201]) ).
fof(f2401,plain,
( ~ spl0_61
| ~ spl0_64 ),
inference(contradiction_clause,[status(thm)],[f2400]) ).
fof(f2402,plain,
( e1 = e3
| ~ spl0_61
| ~ spl0_63 ),
inference(forward_demodulation,[status(thm)],[f698,f704]) ).
fof(f2403,plain,
( $false
| ~ spl0_61
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[status(thm)],[f2402,f200]) ).
fof(f2404,plain,
( ~ spl0_61
| ~ spl0_63 ),
inference(contradiction_clause,[status(thm)],[f2403]) ).
fof(f2409,plain,
( $false
| ~ spl0_83 ),
inference(forward_subsumption_resolution,[status(thm)],[f768,f1468]) ).
fof(f2410,plain,
~ spl0_83,
inference(contradiction_clause,[status(thm)],[f2409]) ).
fof(f2420,plain,
( ~ spl0_78
| ~ spl0_88 ),
inference(split_clause,[status(thm)],[f2345,f751,f783]) ).
fof(f2429,plain,
( e0 != op(e4,e0)
| ~ spl0_50 ),
inference(backward_demodulation,[status(thm)],[f663,f103]) ).
fof(f2430,plain,
( ~ spl0_100
| ~ spl0_50 ),
inference(split_clause,[status(thm)],[f2429,f822,f662]) ).
fof(f2433,plain,
( e0 != op(e2,e3)
| ~ spl0_50 ),
inference(backward_demodulation,[status(thm)],[f663,f167]) ).
fof(f2434,plain,
( ~ spl0_65
| ~ spl0_50 ),
inference(split_clause,[status(thm)],[f2433,f710,f662]) ).
fof(f2435,plain,
( op(e0,e2) != e0
| ~ spl0_50
| spl0_196 ),
inference(backward_demodulation,[status(thm)],[f663,f1255]) ).
fof(f2436,plain,
( ~ spl0_10
| ~ spl0_50
| spl0_196 ),
inference(split_clause,[status(thm)],[f2435,f534,f662,f1253]) ).
fof(f2437,plain,
( e0 != op(e4,e2)
| ~ spl0_10 ),
inference(backward_demodulation,[status(thm)],[f535,f118]) ).
fof(f2438,plain,
( ~ spl0_110
| ~ spl0_10 ),
inference(split_clause,[status(thm)],[f2437,f854,f534]) ).
fof(f2448,plain,
( op(e2,e3) != e3
| ~ spl0_73 ),
inference(backward_demodulation,[status(thm)],[f736,f174]) ).
fof(f2460,plain,
( e1 != op(e3,e2)
| ~ spl0_61 ),
inference(forward_demodulation,[status(thm)],[f698,f122]) ).
fof(f2465,plain,
( e4 != op(e2,e4)
| ~ spl0_24 ),
inference(forward_demodulation,[status(thm)],[f579,f136]) ).
fof(f2480,plain,
( op(e2,e0) = e0
| ~ spl0_127 ),
inference(backward_demodulation,[status(thm)],[f909,f34]) ).
fof(f2481,plain,
( spl0_50
| ~ spl0_127 ),
inference(split_clause,[status(thm)],[f2480,f662,f908]) ).
fof(f2482,plain,
( op(e0,e2) = e0
| ~ spl0_127 ),
inference(backward_demodulation,[status(thm)],[f909,f35]) ).
fof(f2483,plain,
( spl0_10
| ~ spl0_127 ),
inference(split_clause,[status(thm)],[f2482,f534,f908]) ).
fof(f2484,plain,
( op(e2,e1) = e1
| ~ spl0_127 ),
inference(backward_demodulation,[status(thm)],[f909,f36]) ).
fof(f2485,plain,
( spl0_56
| ~ spl0_127 ),
inference(split_clause,[status(thm)],[f2484,f681,f908]) ).
fof(f2486,plain,
( op(e1,e2) = e1
| ~ spl0_127 ),
inference(backward_demodulation,[status(thm)],[f909,f37]) ).
fof(f2487,plain,
( op(e2,e2) = e2
| ~ spl0_127 ),
inference(backward_demodulation,[status(thm)],[f909,f38]) ).
fof(f2488,plain,
( spl0_62
| ~ spl0_127 ),
inference(split_clause,[status(thm)],[f2487,f700,f908]) ).
fof(f2491,plain,
( op(e2,e3) = e3
| ~ spl0_127 ),
inference(backward_demodulation,[status(thm)],[f909,f40]) ).
fof(f2492,plain,
( spl0_68
| ~ spl0_127 ),
inference(split_clause,[status(thm)],[f2491,f719,f908]) ).
fof(f2493,plain,
( op(e3,e2) = e3
| ~ spl0_127 ),
inference(backward_demodulation,[status(thm)],[f909,f41]) ).
fof(f2494,plain,
( op(e2,e4) = e4
| ~ spl0_127 ),
inference(backward_demodulation,[status(thm)],[f909,f42]) ).
fof(f2495,plain,
( spl0_74
| ~ spl0_127 ),
inference(split_clause,[status(thm)],[f2494,f738,f908]) ).
fof(f2500,plain,
( e2 = e0
| ~ spl0_52
| ~ spl0_50 ),
inference(forward_demodulation,[status(thm)],[f669,f663]) ).
fof(f2501,plain,
( $false
| ~ spl0_52
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[status(thm)],[f2500,f196]) ).
fof(f2502,plain,
( ~ spl0_52
| ~ spl0_50 ),
inference(contradiction_clause,[status(thm)],[f2501]) ).
fof(f2504,plain,
( e3 = e0
| ~ spl0_3
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f512,f503]) ).
fof(f2505,plain,
( $false
| ~ spl0_3
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f2504,f197]) ).
fof(f2506,plain,
( ~ spl0_3
| ~ spl0_0 ),
inference(contradiction_clause,[status(thm)],[f2505]) ).
fof(f2507,plain,
( ~ spl0_114
| ~ spl0_39 ),
inference(split_clause,[status(thm)],[f2385,f866,f626]) ).
fof(f2509,plain,
( ~ spl0_39
| ~ spl0_89 ),
inference(split_clause,[status(thm)],[f1687,f626,f786]) ).
fof(f2510,plain,
( ~ spl0_69
| ~ spl0_74 ),
inference(split_clause,[status(thm)],[f1569,f722,f738]) ).
fof(f2511,plain,
( $false
| ~ spl0_61
| ~ spl0_86 ),
inference(forward_subsumption_resolution,[status(thm)],[f778,f2460]) ).
fof(f2512,plain,
( ~ spl0_61
| ~ spl0_86 ),
inference(contradiction_clause,[status(thm)],[f2511]) ).
fof(f2514,plain,
( spl0_9
| ~ spl0_202 ),
inference(split_clause,[status(thm)],[f2180,f530,f1279]) ).
fof(f2515,plain,
( ~ spl0_4
| ~ spl0_202 ),
inference(split_clause,[status(thm)],[f2361,f514,f1279]) ).
fof(f2519,plain,
( e2 = e3
| ~ spl0_98 ),
inference(forward_demodulation,[status(thm)],[f1464,f816]) ).
fof(f2520,plain,
( $false
| ~ spl0_98 ),
inference(forward_subsumption_resolution,[status(thm)],[f2519,f202]) ).
fof(f2521,plain,
~ spl0_98,
inference(contradiction_clause,[status(thm)],[f2520]) ).
fof(f2522,plain,
( ~ spl0_68
| ~ spl0_93 ),
inference(split_clause,[status(thm)],[f1908,f719,f799]) ).
fof(f2523,plain,
( ~ spl0_6
| ~ spl0_56 ),
inference(split_clause,[status(thm)],[f2329,f521,f681]) ).
fof(f2524,plain,
( ~ spl0_59
| ~ spl0_34 ),
inference(split_clause,[status(thm)],[f1944,f690,f610]) ).
fof(f2525,plain,
( $false
| ~ spl0_82 ),
inference(forward_subsumption_resolution,[status(thm)],[f765,f2284]) ).
fof(f2526,plain,
~ spl0_82,
inference(contradiction_clause,[status(thm)],[f2525]) ).
fof(f2527,plain,
( e4 != op(e4,e2)
| ~ spl0_89 ),
inference(backward_demodulation,[status(thm)],[f787,f124]) ).
fof(f2531,plain,
( e4 != op(e3,e3)
| ~ spl0_89 ),
inference(backward_demodulation,[status(thm)],[f787,f182]) ).
fof(f2538,plain,
( ~ spl0_66
| ~ spl0_91 ),
inference(split_clause,[status(thm)],[f2337,f713,f793]) ).
fof(f2544,plain,
( e0 != op(e3,e1)
| ~ spl0_75 ),
inference(backward_demodulation,[status(thm)],[f743,f175]) ).
fof(f2545,plain,
( ~ spl0_80
| ~ spl0_75 ),
inference(split_clause,[status(thm)],[f2544,f758,f742]) ).
fof(f2551,plain,
( ~ spl0_100
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f1876,f822,f502]) ).
fof(f2552,plain,
( $false
| spl0_136
| ~ spl0_117 ),
inference(forward_subsumption_resolution,[status(thm)],[f877,f2239]) ).
fof(f2553,plain,
( spl0_136
| ~ spl0_117 ),
inference(contradiction_clause,[status(thm)],[f2552]) ).
fof(f2560,plain,
( op(e4,e0) != e2
| ~ spl0_136 ),
inference(backward_demodulation,[status(thm)],[f2259,f187]) ).
fof(f2561,plain,
( op(e2,e3) != e2
| ~ spl0_136 ),
inference(backward_demodulation,[status(thm)],[f2259,f133]) ).
fof(f2563,plain,
( op(e1,e3) != e2
| ~ spl0_136 ),
inference(backward_demodulation,[status(thm)],[f2259,f131]) ).
fof(f2564,plain,
( ~ spl0_42
| ~ spl0_136 ),
inference(split_clause,[status(thm)],[f2563,f636,f995]) ).
fof(f2565,plain,
( ~ spl0_114
| ~ spl0_89 ),
inference(split_clause,[status(thm)],[f2527,f866,f786]) ).
fof(f2566,plain,
( ~ spl0_94
| ~ spl0_89 ),
inference(split_clause,[status(thm)],[f2531,f802,f786]) ).
fof(f2567,plain,
( ~ spl0_86
| ~ spl0_91 ),
inference(split_clause,[status(thm)],[f2334,f777,f793]) ).
fof(f2568,plain,
( $false
| ~ spl0_77 ),
inference(forward_subsumption_resolution,[status(thm)],[f749,f2286]) ).
fof(f2569,plain,
~ spl0_77,
inference(contradiction_clause,[status(thm)],[f2568]) ).
fof(f2570,plain,
( ~ spl0_51
| ~ spl0_56 ),
inference(split_clause,[status(thm)],[f2330,f665,f681]) ).
fof(f2571,plain,
( ~ spl0_65
| ~ spl0_90 ),
inference(split_clause,[status(thm)],[f1521,f710,f790]) ).
fof(f2593,plain,
( op(e0,e4) != e4
| ~ spl0_141
| ~ spl0_114 ),
inference(backward_demodulation,[status(thm)],[f2192,f136]) ).
fof(f2624,plain,
( ~ spl0_14
| ~ spl0_24 ),
inference(split_clause,[status(thm)],[f1589,f546,f578]) ).
fof(f2632,plain,
( ~ spl0_18
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f2370,f559,f575]) ).
fof(f2636,plain,
( ~ spl0_36
| ~ spl0_61 ),
inference(split_clause,[status(thm)],[f2397,f617,f697]) ).
fof(f2644,plain,
( op(e1,e1) != e4
| ~ spl0_39 ),
inference(backward_demodulation,[status(thm)],[f627,f159]) ).
fof(f2645,plain,
( ~ spl0_34
| ~ spl0_39 ),
inference(split_clause,[status(thm)],[f2644,f610,f626]) ).
fof(f2663,plain,
( e2 != op(e0,e3)
| ~ spl0_7 ),
inference(backward_demodulation,[status(thm)],[f525,f150]) ).
fof(f2664,plain,
( e2 != op(e0,e2)
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f525,f149]) ).
fof(f2670,plain,
( op(e3,e4) = e4
| ~ spl0_128 ),
inference(backward_demodulation,[status(thm)],[f912,f42]) ).
fof(f2671,plain,
( spl0_99
| ~ spl0_128 ),
inference(split_clause,[status(thm)],[f2670,f818,f911]) ).
fof(f2684,plain,
( ~ spl0_102
| ~ spl0_136 ),
inference(split_clause,[status(thm)],[f2560,f828,f995]) ).
fof(f2685,plain,
( ~ spl0_67
| ~ spl0_136 ),
inference(split_clause,[status(thm)],[f2561,f716,f995]) ).
fof(f2688,plain,
( ~ spl0_24
| ~ spl0_141
| ~ spl0_114 ),
inference(split_clause,[status(thm)],[f2593,f578,f1016,f866]) ).
fof(f2689,plain,
( ~ spl0_74
| ~ spl0_24 ),
inference(split_clause,[status(thm)],[f2465,f738,f578]) ).
fof(f2690,plain,
( spl0_18
| ~ spl0_125 ),
inference(split_clause,[status(thm)],[f2140,f559,f902]) ).
fof(f2691,plain,
( spl0_104
| ~ spl0_125 ),
inference(split_clause,[status(thm)],[f2144,f834,f902]) ).
fof(f2692,plain,
( ~ spl0_104
| ~ spl0_24
| spl0_223 ),
inference(split_clause,[status(thm)],[f1594,f834,f578,f1372]) ).
fof(f2693,plain,
( ~ spl0_68
| ~ spl0_73 ),
inference(split_clause,[status(thm)],[f2448,f719,f735]) ).
fof(f2694,plain,
( ~ spl0_29
| ~ spl0_104 ),
inference(split_clause,[status(thm)],[f2052,f594,f834]) ).
fof(f2695,plain,
( ~ spl0_114
| ~ spl0_104 ),
inference(split_clause,[status(thm)],[f2049,f866,f834]) ).
fof(f2696,plain,
( $false
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[status(thm)],[f573,f2225]) ).
fof(f2697,plain,
~ spl0_22,
inference(contradiction_clause,[status(thm)],[f2696]) ).
fof(f2700,plain,
( op(e3,e2) != e0
| ~ spl0_110 ),
inference(backward_demodulation,[status(thm)],[f855,f124]) ).
fof(f2701,plain,
( ~ spl0_85
| ~ spl0_110 ),
inference(split_clause,[status(thm)],[f2700,f774,f854]) ).
fof(f2707,plain,
( e0 != op(e3,e1)
| ~ spl0_55 ),
inference(backward_demodulation,[status(thm)],[f679,f112]) ).
fof(f2716,plain,
( e1 = op(e1,e0)
| ~ spl0_6
| ~ spl0_217 ),
inference(forward_demodulation,[status(thm)],[f522,f1347]) ).
fof(f2716_002,plain,
( e1 = op(e1,e0)
| ~ spl0_6
| ~ spl0_217 ),
inference(forward_demodulation,[status(thm)],[f522,f1347]) ).
fof(f2721,plain,
( e1 != op(e3,e0)
| ~ spl0_6
| ~ spl0_217 ),
inference(backward_demodulation,[status(thm)],[f2716,f100]) ).
fof(f2728,plain,
( e1 != op(e1,e3)
| ~ spl0_6
| ~ spl0_217 ),
inference(forward_demodulation,[status(thm)],[f2716,f157]) ).
fof(f2730,plain,
( e3 != op(e1,e3)
| ~ spl0_38 ),
inference(forward_demodulation,[status(thm)],[f624,f162]) ).
fof(f2783,plain,
( $false
| ~ spl0_38
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[status(thm)],[f640,f2730]) ).
fof(f2784,plain,
( ~ spl0_38
| ~ spl0_43 ),
inference(contradiction_clause,[status(thm)],[f2783]) ).
fof(f2819,plain,
( e1 != op(e1,e0)
| ~ spl0_6
| spl0_217 ),
inference(forward_demodulation,[status(thm)],[f522,f1348]) ).
fof(f2820,plain,
( e3 = e1
| ~ spl0_38
| ~ spl0_36 ),
inference(forward_demodulation,[status(thm)],[f624,f618]) ).
fof(f2821,plain,
( $false
| ~ spl0_38
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[status(thm)],[f2820,f200]) ).
fof(f2822,plain,
( ~ spl0_38
| ~ spl0_36 ),
inference(contradiction_clause,[status(thm)],[f2821]) ).
fof(f2823,plain,
( op(e3,e2) = e1
| ~ spl0_38
| ~ spl0_209 ),
inference(forward_demodulation,[status(thm)],[f624,f1312]) ).
fof(f2825,plain,
( e2 = e1
| ~ spl0_52
| ~ spl0_51 ),
inference(forward_demodulation,[status(thm)],[f669,f666]) ).
fof(f2826,plain,
( $false
| ~ spl0_52
| ~ spl0_51 ),
inference(forward_subsumption_resolution,[status(thm)],[f2825,f199]) ).
fof(f2827,plain,
( ~ spl0_52
| ~ spl0_51 ),
inference(contradiction_clause,[status(thm)],[f2826]) ).
fof(f2840,plain,
( e0 = e4
| ~ spl0_0
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f503,f515]) ).
fof(f2841,plain,
( $false
| ~ spl0_0
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f2840,f198]) ).
fof(f2842,plain,
( ~ spl0_0
| ~ spl0_4 ),
inference(contradiction_clause,[status(thm)],[f2841]) ).
fof(f2844,plain,
( e2 = e3
| ~ spl0_52
| ~ spl0_53 ),
inference(forward_demodulation,[status(thm)],[f669,f672]) ).
fof(f2845,plain,
( $false
| ~ spl0_52
| ~ spl0_53 ),
inference(forward_subsumption_resolution,[status(thm)],[f2844,f202]) ).
fof(f2846,plain,
( ~ spl0_52
| ~ spl0_53 ),
inference(contradiction_clause,[status(thm)],[f2845]) ).
fof(f2866,plain,
( ~ spl0_80
| ~ spl0_55 ),
inference(split_clause,[status(thm)],[f2707,f758,f678]) ).
fof(f2869,plain,
( e2 = e1
| ~ spl0_12
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f541,f538]) ).
fof(f2870,plain,
( $false
| ~ spl0_12
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f2869,f199]) ).
fof(f2871,plain,
( ~ spl0_12
| ~ spl0_11 ),
inference(contradiction_clause,[status(thm)],[f2870]) ).
fof(f2882,plain,
( e1 != op(e3,e1)
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f522,f107]) ).
fof(f2899,plain,
( e2 != op(e4,e2)
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f541,f118]) ).
fof(f2900,plain,
( e2 != e2
| ~ spl0_112
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f861,f2899]) ).
fof(f2901,plain,
( $false
| ~ spl0_112
| ~ spl0_12 ),
inference(trivial_equality_resolution,[status(esa)],[f2900]) ).
fof(f2902,plain,
( ~ spl0_112
| ~ spl0_12 ),
inference(contradiction_clause,[status(thm)],[f2901]) ).
fof(f2906,plain,
( spl0_86
| ~ spl0_38
| ~ spl0_209 ),
inference(split_clause,[status(thm)],[f2823,f777,f623,f1311]) ).
fof(f2958,plain,
( op(e0,e2) = e4
| ~ spl0_110
| ~ spl0_142 ),
inference(backward_demodulation,[status(thm)],[f855,f1021]) ).
fof(f2959,plain,
( spl0_14
| ~ spl0_110
| ~ spl0_142 ),
inference(split_clause,[status(thm)],[f2958,f546,f854,f1020]) ).
fof(f2966,plain,
( e1 != e1
| ~ spl0_125
| ~ spl0_6
| spl0_217 ),
inference(forward_demodulation,[status(thm)],[f2135,f2819]) ).
fof(f2967,plain,
( $false
| ~ spl0_125
| ~ spl0_6
| spl0_217 ),
inference(trivial_equality_resolution,[status(esa)],[f2966]) ).
fof(f2968,plain,
( ~ spl0_125
| ~ spl0_6
| spl0_217 ),
inference(contradiction_clause,[status(thm)],[f2967]) ).
fof(f2969,plain,
( ~ spl0_44
| ~ spl0_34 ),
inference(split_clause,[status(thm)],[f1947,f642,f610]) ).
fof(f2974,plain,
( spl0_36
| ~ spl0_127 ),
inference(split_clause,[status(thm)],[f2486,f617,f908]) ).
fof(f2975,plain,
( spl0_88
| ~ spl0_127 ),
inference(split_clause,[status(thm)],[f2493,f783,f908]) ).
fof(f2976,plain,
( ~ spl0_17
| ~ spl0_7 ),
inference(split_clause,[status(thm)],[f2663,f556,f524]) ).
fof(f2986,plain,
( ~ spl0_41
| ~ spl0_6
| ~ spl0_217 ),
inference(split_clause,[status(thm)],[f2728,f633,f521,f1346]) ).
fof(f2987,plain,
( ~ spl0_76
| ~ spl0_6
| ~ spl0_217 ),
inference(split_clause,[status(thm)],[f2721,f745,f521,f1346]) ).
fof(f2988,plain,
( spl0_26
| ~ spl0_6
| ~ spl0_217 ),
inference(split_clause,[status(thm)],[f2716,f585,f521,f1346]) ).
fof(f2989,plain,
( ~ spl0_36
| ~ spl0_56
| spl0_191 ),
inference(split_clause,[status(thm)],[f2333,f617,f681,f1232]) ).
fof(f3027,plain,
( op(e2,e3) = e3
| ~ spl0_164
| ~ spl0_88 ),
inference(forward_demodulation,[status(thm)],[f1116,f784]) ).
fof(f3058,plain,
( op(e2,e1) = e0
| ~ spl0_7
| ~ spl0_234 ),
inference(backward_demodulation,[status(thm)],[f525,f1423]) ).
fof(f3059,plain,
( spl0_55
| ~ spl0_7
| ~ spl0_234 ),
inference(split_clause,[status(thm)],[f3058,f678,f524,f1422]) ).
fof(f3067,plain,
( op(e0,e2) = e0
| ~ spl0_196
| ~ spl0_50 ),
inference(forward_demodulation,[status(thm)],[f1254,f663]) ).
fof(f3071,plain,
( e0 = op(e2,e0)
| ~ spl0_50
| ~ spl0_196 ),
inference(backward_demodulation,[status(thm)],[f3067,f1254]) ).
fof(f3127,plain,
( op(e2,e0) = e4
| ~ spl0_102
| ~ spl0_152 ),
inference(forward_demodulation,[status(thm)],[f829,f1063]) ).
fof(f3130,plain,
( e0 = e4
| ~ spl0_102
| ~ spl0_152
| ~ spl0_50
| ~ spl0_196 ),
inference(forward_demodulation,[status(thm)],[f3127,f3071]) ).
fof(f3131,plain,
( $false
| ~ spl0_102
| ~ spl0_152
| ~ spl0_50
| ~ spl0_196 ),
inference(forward_subsumption_resolution,[status(thm)],[f3130,f198]) ).
fof(f3132,plain,
( ~ spl0_102
| ~ spl0_152
| ~ spl0_50
| ~ spl0_196 ),
inference(contradiction_clause,[status(thm)],[f3131]) ).
fof(f3134,plain,
( spl0_73
| ~ spl0_156 ),
inference(split_clause,[status(thm)],[f2270,f735,f1080]) ).
fof(f3139,plain,
( op(e0,e1) = e3
| ~ spl0_80
| ~ spl0_170 ),
inference(forward_demodulation,[status(thm)],[f759,f1141]) ).
fof(f3139_003,plain,
( op(e0,e1) = e3
| ~ spl0_80
| ~ spl0_170 ),
inference(forward_demodulation,[status(thm)],[f759,f1141]) ).
fof(f3140,plain,
( e2 = e3
| ~ spl0_7
| ~ spl0_80
| ~ spl0_170 ),
inference(forward_demodulation,[status(thm)],[f525,f3139]) ).
fof(f3141,plain,
( $false
| ~ spl0_7
| ~ spl0_80
| ~ spl0_170 ),
inference(forward_subsumption_resolution,[status(thm)],[f3140,f202]) ).
fof(f3142,plain,
( ~ spl0_7
| ~ spl0_80
| ~ spl0_170 ),
inference(contradiction_clause,[status(thm)],[f3141]) ).
fof(f3149,plain,
( op(e2,e3) = e1
| ~ spl0_42
| ~ spl0_205 ),
inference(forward_demodulation,[status(thm)],[f637,f1294]) ).
fof(f3150,plain,
( e3 = e1
| ~ spl0_164
| ~ spl0_88
| ~ spl0_42
| ~ spl0_205 ),
inference(forward_demodulation,[status(thm)],[f3027,f3149]) ).
fof(f3151,plain,
( $false
| ~ spl0_164
| ~ spl0_88
| ~ spl0_42
| ~ spl0_205 ),
inference(forward_subsumption_resolution,[status(thm)],[f3150,f200]) ).
fof(f3152,plain,
( ~ spl0_164
| ~ spl0_88
| ~ spl0_42
| ~ spl0_205 ),
inference(contradiction_clause,[status(thm)],[f3151]) ).
fof(f3153,plain,
( op(e3,e1) != e0
| ~ spl0_28
| spl0_219 ),
inference(forward_demodulation,[status(thm)],[f592,f1356]) ).
fof(f3154,plain,
( e0 != e0
| ~ spl0_80
| ~ spl0_28
| spl0_219 ),
inference(forward_demodulation,[status(thm)],[f759,f3153]) ).
fof(f3155,plain,
( $false
| ~ spl0_80
| ~ spl0_28
| spl0_219 ),
inference(trivial_equality_resolution,[status(esa)],[f3154]) ).
fof(f3156,plain,
( ~ spl0_80
| ~ spl0_28
| spl0_219 ),
inference(contradiction_clause,[status(thm)],[f3155]) ).
fof(f3163,plain,
( e4 != op(e3,e0)
| ~ spl0_19
| spl0_174 ),
inference(forward_demodulation,[status(thm)],[f563,f1159]) ).
fof(f3164,plain,
( e4 != e4
| ~ spl0_79
| ~ spl0_19
| spl0_174 ),
inference(forward_demodulation,[status(thm)],[f755,f3163]) ).
fof(f3165,plain,
( $false
| ~ spl0_79
| ~ spl0_19
| spl0_174 ),
inference(trivial_equality_resolution,[status(esa)],[f3164]) ).
fof(f3166,plain,
( ~ spl0_79
| ~ spl0_19
| spl0_174 ),
inference(contradiction_clause,[status(thm)],[f3165]) ).
fof(f3168,plain,
( op(e3,e4) = e0
| ~ spl0_23
| ~ spl0_222 ),
inference(forward_demodulation,[status(thm)],[f576,f1369]) ).
fof(f3169,plain,
( e2 = e0
| ~ spl0_23
| ~ spl0_222 ),
inference(forward_demodulation,[status(thm)],[f1464,f3168]) ).
fof(f3170,plain,
( $false
| ~ spl0_23
| ~ spl0_222 ),
inference(forward_subsumption_resolution,[status(thm)],[f3169,f196]) ).
fof(f3171,plain,
( ~ spl0_23
| ~ spl0_222 ),
inference(contradiction_clause,[status(thm)],[f3170]) ).
fof(f3177,plain,
( spl0_8
| ~ spl0_80
| ~ spl0_170 ),
inference(split_clause,[status(thm)],[f3139,f527,f758,f1140]) ).
fof(f3193,plain,
( ~ spl0_12
| ~ spl0_7 ),
inference(split_clause,[status(thm)],[f2664,f540,f524]) ).
fof(f3195,plain,
( ~ spl0_81
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f2882,f761,f521]) ).
fof(f3203,plain,
( op(e0,e2) != e2
| ~ spl0_52
| spl0_196 ),
inference(forward_demodulation,[status(thm)],[f669,f1255]) ).
fof(f3266,plain,
( op(e0,e3) != e3
| ~ spl0_78
| spl0_174 ),
inference(backward_demodulation,[status(thm)],[f752,f1159]) ).
fof(f3267,plain,
( ~ spl0_18
| ~ spl0_78
| spl0_174 ),
inference(split_clause,[status(thm)],[f3266,f559,f751,f1157]) ).
fof(f3284,plain,
( $false
| ~ spl0_52
| spl0_196
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f541,f3203]) ).
fof(f3285,plain,
( ~ spl0_52
| spl0_196
| ~ spl0_12 ),
inference(contradiction_clause,[status(thm)],[f3284]) ).
fof(f3365,plain,
( op(e0,e3) = e2
| ~ spl0_65
| ~ spl0_183 ),
inference(forward_demodulation,[status(thm)],[f711,f1198]) ).
fof(f3366,plain,
( e3 = e2
| ~ spl0_18
| ~ spl0_65
| ~ spl0_183 ),
inference(forward_demodulation,[status(thm)],[f560,f3365]) ).
fof(f3367,plain,
( $false
| ~ spl0_18
| ~ spl0_65
| ~ spl0_183 ),
inference(forward_subsumption_resolution,[status(thm)],[f3366,f202]) ).
fof(f3368,plain,
( ~ spl0_18
| ~ spl0_65
| ~ spl0_183 ),
inference(contradiction_clause,[status(thm)],[f3367]) ).
fof(f3372,plain,
( op(e3,e2) != e4
| ~ spl0_73
| spl0_180 ),
inference(forward_demodulation,[status(thm)],[f736,f1185]) ).
fof(f3373,plain,
( e4 != e4
| ~ spl0_89
| ~ spl0_73
| spl0_180 ),
inference(forward_demodulation,[status(thm)],[f787,f3372]) ).
fof(f3374,plain,
( $false
| ~ spl0_89
| ~ spl0_73
| spl0_180 ),
inference(trivial_equality_resolution,[status(esa)],[f3373]) ).
fof(f3375,plain,
( ~ spl0_89
| ~ spl0_73
| spl0_180 ),
inference(contradiction_clause,[status(thm)],[f3374]) ).
fof(f3376,plain,
$false,
inference(sat_refutation,[status(thm)],[f517,f533,f565,f645,f661,f725,f757,f773,f789,f805,f837,f869,f885,f901,f917,f921,f925,f929,f933,f934,f936,f937,f938,f940,f945,f946,f947,f950,f951,f953,f958,f964,f965,f971,f980,f989,f998,f1006,f1010,f1019,f1023,f1032,f1040,f1044,f1052,f1061,f1065,f1073,f1074,f1079,f1083,f1091,f1100,f1109,f1118,f1122,f1130,f1131,f1139,f1143,f1151,f1152,f1160,f1164,f1172,f1173,f1178,f1182,f1186,f1191,f1196,f1200,f1208,f1210,f1217,f1226,f1235,f1239,f1243,f1247,f1256,f1268,f1274,f1278,f1286,f1292,f1296,f1300,f1305,f1306,f1310,f1314,f1318,f1322,f1324,f1331,f1340,f1349,f1357,f1362,f1371,f1379,f1380,f1385,f1397,f1398,f1403,f1416,f1421,f1425,f1429,f1430,f1432,f1436,f1443,f1445,f1447,f1449,f1451,f1501,f1504,f1528,f1552,f1556,f1575,f1577,f1579,f1592,f1628,f1648,f1655,f1671,f1679,f1690,f1693,f1697,f1701,f1704,f1711,f1726,f1734,f1761,f1768,f1778,f1795,f1798,f1810,f1811,f1815,f1816,f1818,f1835,f1845,f1854,f1862,f1865,f1868,f1880,f1888,f1897,f1916,f1919,f1940,f1950,f1956,f1958,f1960,f1965,f1972,f1974,f1980,f1988,f1991,f2000,f2001,f2005,f2012,f2015,f2017,f2028,f2054,f2067,f2072,f2095,f2098,f2102,f2104,f2109,f2111,f2120,f2130,f2134,f2137,f2139,f2143,f2153,f2157,f2158,f2159,f2164,f2167,f2169,f2175,f2179,f2186,f2191,f2193,f2194,f2196,f2197,f2215,f2218,f2223,f2238,f2244,f2255,f2260,f2266,f2269,f2272,f2274,f2277,f2280,f2288,f2308,f2310,f2312,f2315,f2318,f2321,f2327,f2350,f2369,f2378,f2393,f2401,f2404,f2410,f2420,f2430,f2434,f2436,f2438,f2481,f2483,f2485,f2488,f2492,f2495,f2502,f2506,f2507,f2509,f2510,f2512,f2514,f2515,f2521,f2522,f2523,f2524,f2526,f2538,f2545,f2551,f2553,f2564,f2565,f2566,f2567,f2569,f2570,f2571,f2624,f2632,f2636,f2645,f2671,f2684,f2685,f2688,f2689,f2690,f2691,f2692,f2693,f2694,f2695,f2697,f2701,f2784,f2822,f2827,f2842,f2846,f2866,f2871,f2902,f2906,f2959,f2968,f2969,f2974,f2975,f2976,f2986,f2987,f2988,f2989,f3059,f3132,f3134,f3142,f3152,f3156,f3166,f3171,f3177,f3193,f3195,f3267,f3285,f3368,f3375]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG060+1 : TPTP v8.1.2. Released v2.7.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Apr 29 23:52:04 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 2.51/0.71 % Refutation found
% 2.51/0.71 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.51/0.71 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.51/0.72 % Elapsed time: 0.380192 seconds
% 2.51/0.72 % CPU time: 2.833579 seconds
% 2.51/0.72 % Total memory used: 42.796 MB
% 2.51/0.72 % Net memory used: 41.706 MB
%------------------------------------------------------------------------------