TSTP Solution File: ALG057+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG057+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n014.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 20:09:20 EDT 2024
% Result : Theorem 2.23s 0.66s
% Output : CNFRefutation 2.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 281
% Syntax : Number of formulae : 1482 ( 144 unt; 0 def)
% Number of atoms : 6212 (3855 equ)
% Maximal formula atoms : 250 ( 4 avg)
% Number of connectives : 8041 (3311 ~;2733 |;1723 &)
% ( 230 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 276 ( 274 usr; 275 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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
( e0 = op(op(e2,e2),op(e2,e2))
& e1 = op(op(e2,op(e2,e2)),op(e2,e2))
& e3 = op(e2,op(e2,e2))
& e4 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,conjecture,
~ ( ( ( op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 )
| ( op(e4,op(e4,e4)) != e4
& op(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/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
~ ~ ( ( ( op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 )
| ( op(e4,op(e4,e4)) != e4
& op(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(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(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(f20,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f21,plain,
( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3
| op(e2,e2) = e4 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f23,plain,
( op(e2,e4) = e0
| op(e2,e4) = e1
| op(e2,e4) = e2
| op(e2,e4) = e3
| op(e2,e4) = 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(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(f45,plain,
( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0
| op(e0,e4) = e0 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f47,plain,
( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e4) = e1 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f50,plain,
( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2
| op(e4,e0) = e2 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f51,plain,
( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3
| op(e0,e4) = e3 ),
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(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(f66,plain,
( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = 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(f68,plain,
( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f69,plain,
( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2
| op(e2,e4) = e2 ),
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(f76,plain,
( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 ),
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(f79,plain,
( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2
| op(e3,e4) = e2 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f82,plain,
( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3
| op(e4,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f83,plain,
( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e3) = e4
| op(e3,e4) = e4 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f88,plain,
( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f89,plain,
( op(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f90,plain,
( op(e0,e4) = e2
| op(e1,e4) = e2
| op(e2,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 ),
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(f96,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f97,plain,
op(e0,e0) != op(e3,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(f104,plain,
op(e3,e0) != op(e4,e0),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f105,plain,
op(e0,e1) != op(e1,e1),
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(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(f117,plain,
op(e0,e2) != op(e3,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(f125,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f127,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f128,plain,
op(e0,e3) != op(e4,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f131,plain,
op(e1,e3) != op(e4,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f137,plain,
op(e0,e4) != op(e3,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f139,plain,
op(e1,e4) != op(e2,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f140,plain,
op(e1,e4) != op(e3,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f141,plain,
op(e1,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(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(f152,plain,
op(e0,e2) != op(e0,e3),
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(f156,plain,
op(e1,e0) != op(e1,e2),
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(f167,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f168,plain,
op(e2,e0) != op(e2,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f169,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f170,plain,
op(e2,e1) != op(e2,e3),
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(f176,plain,
op(e3,e0) != op(e3,e2),
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(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(f190,plain,
op(e4,e1) != op(e4,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f191,plain,
op(e4,e1) != op(e4,e4),
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(e2,e2),op(e2,e2)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f206,plain,
e1 = op(op(e2,op(e2,e2)),op(e2,e2)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f207,plain,
e3 = op(e2,op(e2,e2)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f208,plain,
e4 = op(e2,e2),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f209,plain,
( pd0_0
=> ( ( op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 ) ) ),
introduced(predicate_definition,[f8]) ).
fof(f210,plain,
( pd0_1
=> ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 ) ) ),
introduced(predicate_definition,[f8]) ).
fof(f211,plain,
( pd0_2
=> ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 ) ) ),
introduced(predicate_definition,[f8]) ).
fof(f212,plain,
( pd0_3
=> ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 ) ) ),
introduced(predicate_definition,[f8]) ).
fof(f213,plain,
( pd0_4
=> ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 ) ) ),
introduced(predicate_definition,[f8]) ).
fof(f214,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 )
| ( 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(f215,plain,
( ( pd0_0
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( pd0_1
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( pd0_2
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( pd0_3
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( pd0_4
| ( op(e4,op(e4,e4)) != e4
& op(e4,op(e4,e4)) = e4 ) )
& ( pd0_5
| ( op(e4,e4) != op(e4,e4)
& op(op(e4,e4),e4) = e4
& op(op(e4,e4),e4) != e4 ) ) ),
inference(formula_renaming,[status(thm)],[f8,f214,f213,f212,f211,f210,f209]) ).
fof(f216,plain,
( pd0_0
| op(e4,op(e4,e0)) != e0 ),
inference(cnf_transformation,[status(esa)],[f215]) ).
fof(f217,plain,
( pd0_0
| op(e0,op(e4,e0)) = e4 ),
inference(cnf_transformation,[status(esa)],[f215]) ).
fof(f219,plain,
( pd0_1
| op(e1,op(e4,e1)) = e4 ),
inference(cnf_transformation,[status(esa)],[f215]) ).
fof(f221,plain,
( pd0_2
| op(e2,op(e4,e2)) = e4 ),
inference(cnf_transformation,[status(esa)],[f215]) ).
fof(f223,plain,
( pd0_3
| op(e3,op(e4,e3)) = e4 ),
inference(cnf_transformation,[status(esa)],[f215]) ).
fof(f224,plain,
( pd0_4
| op(e4,op(e4,e4)) != e4 ),
inference(cnf_transformation,[status(esa)],[f215]) ).
fof(f225,plain,
( pd0_4
| op(e4,op(e4,e4)) = e4 ),
inference(cnf_transformation,[status(esa)],[f215]) ).
fof(f226,plain,
( pd0_5
| op(e4,e4) != op(e4,e4) ),
inference(cnf_transformation,[status(esa)],[f215]) ).
fof(f229,plain,
( ~ pd0_0
| ( op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f209]) ).
fof(f230,plain,
( pd0_6
=> ( ( op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 ) ) ),
introduced(predicate_definition,[f229]) ).
fof(f231,plain,
( ~ pd0_0
| pd0_6
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 ) ),
inference(formula_renaming,[status(thm)],[f229,f230]) ).
fof(f232,plain,
( ~ pd0_0
| pd0_6
| op(e3,op(e3,e0)) != e0 ),
inference(cnf_transformation,[status(esa)],[f231]) ).
fof(f234,plain,
( ~ pd0_1
| ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f210]) ).
fof(f235,plain,
( pd0_7
=> ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 ) ) ),
introduced(predicate_definition,[f234]) ).
fof(f236,plain,
( ~ pd0_1
| pd0_7
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 ) ),
inference(formula_renaming,[status(thm)],[f234,f235]) ).
fof(f237,plain,
( ~ pd0_1
| pd0_7
| op(e3,op(e3,e1)) != e1 ),
inference(cnf_transformation,[status(esa)],[f236]) ).
fof(f239,plain,
( ~ pd0_2
| ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f211]) ).
fof(f240,plain,
( pd0_8
=> ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 ) ) ),
introduced(predicate_definition,[f239]) ).
fof(f241,plain,
( ~ pd0_2
| pd0_8
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 ) ),
inference(formula_renaming,[status(thm)],[f239,f240]) ).
fof(f243,plain,
( ~ pd0_2
| pd0_8
| op(e2,op(e3,e2)) = e3 ),
inference(cnf_transformation,[status(esa)],[f241]) ).
fof(f244,plain,
( ~ pd0_3
| ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f212]) ).
fof(f245,plain,
( pd0_9
=> ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 ) ) ),
introduced(predicate_definition,[f244]) ).
fof(f249,plain,
( ~ pd0_4
| ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f213]) ).
fof(f250,plain,
( pd0_10
=> ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 ) ) ),
introduced(predicate_definition,[f249]) ).
fof(f251,plain,
( ~ pd0_4
| pd0_10
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 ) ),
inference(formula_renaming,[status(thm)],[f249,f250]) ).
fof(f253,plain,
( ~ pd0_4
| pd0_10
| op(e4,op(e3,e4)) = e3 ),
inference(cnf_transformation,[status(esa)],[f251]) ).
fof(f254,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 )
| ( 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)],[f214]) ).
fof(f255,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 )
| ( 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,[f254]) ).
fof(f256,plain,
( ~ pd0_5
| pd0_11
| ( op(e3,e4) != op(e4,e3)
& op(op(e4,e3),e3) = e4
& op(op(e4,e3),e4) != e3 ) ),
inference(formula_renaming,[status(thm)],[f254,f255]) ).
fof(f257,plain,
( ~ pd0_5
| pd0_11
| op(e3,e4) != op(e4,e3) ),
inference(cnf_transformation,[status(esa)],[f256]) ).
fof(f259,plain,
( ~ pd0_5
| pd0_11
| op(op(e4,e3),e4) != e3 ),
inference(cnf_transformation,[status(esa)],[f256]) ).
fof(f260,plain,
( ~ pd0_6
| ( op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 ) ),
inference(pre_NNF_transformation,[status(esa)],[f230]) ).
fof(f261,plain,
( pd0_12
=> ( ( op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 ) ) ),
introduced(predicate_definition,[f260]) ).
fof(f262,plain,
( ~ pd0_6
| pd0_12
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 ) ),
inference(formula_renaming,[status(thm)],[f260,f261]) ).
fof(f264,plain,
( ~ pd0_6
| pd0_12
| op(e0,op(e2,e0)) = e2 ),
inference(cnf_transformation,[status(esa)],[f262]) ).
fof(f265,plain,
( ~ pd0_7
| ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 ) ),
inference(pre_NNF_transformation,[status(esa)],[f235]) ).
fof(f266,plain,
( pd0_13
=> ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 ) ) ),
introduced(predicate_definition,[f265]) ).
fof(f267,plain,
( ~ pd0_7
| pd0_13
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 ) ),
inference(formula_renaming,[status(thm)],[f265,f266]) ).
fof(f269,plain,
( ~ pd0_7
| pd0_13
| op(e1,op(e2,e1)) = e2 ),
inference(cnf_transformation,[status(esa)],[f267]) ).
fof(f270,plain,
( ~ pd0_8
| ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 ) ),
inference(pre_NNF_transformation,[status(esa)],[f240]) ).
fof(f271,plain,
( pd0_14
=> ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 ) ) ),
introduced(predicate_definition,[f270]) ).
fof(f275,plain,
( ~ pd0_9
| ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 ) ),
inference(pre_NNF_transformation,[status(esa)],[f245]) ).
fof(f276,plain,
( pd0_15
=> ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 ) ) ),
introduced(predicate_definition,[f275]) ).
fof(f280,plain,
( ~ pd0_10
| ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 ) ),
inference(pre_NNF_transformation,[status(esa)],[f250]) ).
fof(f281,plain,
( pd0_16
=> ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 ) ) ),
introduced(predicate_definition,[f280]) ).
fof(f282,plain,
( ~ pd0_10
| pd0_16
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 ) ),
inference(formula_renaming,[status(thm)],[f280,f281]) ).
fof(f284,plain,
( ~ pd0_10
| pd0_16
| op(e4,op(e2,e4)) = e2 ),
inference(cnf_transformation,[status(esa)],[f282]) ).
fof(f285,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 )
| ( 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)],[f255]) ).
fof(f286,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 )
| ( 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,[f285]) ).
fof(f287,plain,
( ~ pd0_11
| pd0_17
| ( op(e2,e4) != op(e4,e2)
& op(op(e4,e2),e2) = e4
& op(op(e4,e2),e4) != e2 ) ),
inference(formula_renaming,[status(thm)],[f285,f286]) ).
fof(f288,plain,
( ~ pd0_11
| pd0_17
| op(e2,e4) != op(e4,e2) ),
inference(cnf_transformation,[status(esa)],[f287]) ).
fof(f289,plain,
( ~ pd0_11
| pd0_17
| op(op(e4,e2),e2) = e4 ),
inference(cnf_transformation,[status(esa)],[f287]) ).
fof(f291,plain,
( ~ pd0_12
| ( op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 ) ),
inference(pre_NNF_transformation,[status(esa)],[f261]) ).
fof(f292,plain,
( pd0_18
=> ( op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 ) ),
introduced(predicate_definition,[f291]) ).
fof(f293,plain,
( ~ pd0_12
| pd0_18
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 ) ),
inference(formula_renaming,[status(thm)],[f291,f292]) ).
fof(f295,plain,
( ~ pd0_12
| pd0_18
| op(e0,op(e1,e0)) = e1 ),
inference(cnf_transformation,[status(esa)],[f293]) ).
fof(f296,plain,
( ~ pd0_13
| ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 ) ),
inference(pre_NNF_transformation,[status(esa)],[f266]) ).
fof(f297,plain,
( pd0_19
=> ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 ) ),
introduced(predicate_definition,[f296]) ).
fof(f298,plain,
( ~ pd0_13
| pd0_19
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 ) ),
inference(formula_renaming,[status(thm)],[f296,f297]) ).
fof(f299,plain,
( ~ pd0_13
| pd0_19
| op(e1,op(e1,e1)) != e1 ),
inference(cnf_transformation,[status(esa)],[f298]) ).
fof(f300,plain,
( ~ pd0_13
| pd0_19
| op(e1,op(e1,e1)) = e1 ),
inference(cnf_transformation,[status(esa)],[f298]) ).
fof(f301,plain,
( ~ pd0_14
| ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 ) ),
inference(pre_NNF_transformation,[status(esa)],[f271]) ).
fof(f302,plain,
( pd0_20
=> ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 ) ),
introduced(predicate_definition,[f301]) ).
fof(f306,plain,
( ~ pd0_15
| ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 ) ),
inference(pre_NNF_transformation,[status(esa)],[f276]) ).
fof(f307,plain,
( pd0_21
=> ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 ) ),
introduced(predicate_definition,[f306]) ).
fof(f308,plain,
( ~ pd0_15
| pd0_21
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 ) ),
inference(formula_renaming,[status(thm)],[f306,f307]) ).
fof(f310,plain,
( ~ pd0_15
| pd0_21
| op(e3,op(e1,e3)) = e1 ),
inference(cnf_transformation,[status(esa)],[f308]) ).
fof(f311,plain,
( ~ pd0_16
| ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 ) ),
inference(pre_NNF_transformation,[status(esa)],[f281]) ).
fof(f312,plain,
( pd0_22
=> ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 ) ),
introduced(predicate_definition,[f311]) ).
fof(f313,plain,
( ~ pd0_16
| pd0_22
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 ) ),
inference(formula_renaming,[status(thm)],[f311,f312]) ).
fof(f314,plain,
( ~ pd0_16
| pd0_22
| op(e1,op(e1,e4)) != e4 ),
inference(cnf_transformation,[status(esa)],[f313]) ).
fof(f316,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 )
| ( 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)],[f286]) ).
fof(f317,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 )
| ( 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,[f316]) ).
fof(f318,plain,
( ~ pd0_17
| pd0_23
| ( op(e1,e4) != op(e4,e1)
& op(op(e4,e1),e1) = e4
& op(op(e4,e1),e4) != e1 ) ),
inference(formula_renaming,[status(thm)],[f316,f317]) ).
fof(f319,plain,
( ~ pd0_17
| pd0_23
| op(e1,e4) != op(e4,e1) ),
inference(cnf_transformation,[status(esa)],[f318]) ).
fof(f321,plain,
( ~ pd0_17
| pd0_23
| op(op(e4,e1),e4) != e1 ),
inference(cnf_transformation,[status(esa)],[f318]) ).
fof(f322,plain,
( ~ pd0_18
| ( op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 ) ),
inference(pre_NNF_transformation,[status(esa)],[f292]) ).
fof(f323,plain,
( ~ pd0_18
| op(e0,op(e0,e0)) != e0 ),
inference(cnf_transformation,[status(esa)],[f322]) ).
fof(f324,plain,
( ~ pd0_18
| op(e0,op(e0,e0)) = e0 ),
inference(cnf_transformation,[status(esa)],[f322]) ).
fof(f325,plain,
( ~ pd0_19
| ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 ) ),
inference(pre_NNF_transformation,[status(esa)],[f297]) ).
fof(f326,plain,
( ~ pd0_19
| op(e0,op(e0,e1)) != e1 ),
inference(cnf_transformation,[status(esa)],[f325]) ).
fof(f328,plain,
( ~ pd0_20
| ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 ) ),
inference(pre_NNF_transformation,[status(esa)],[f302]) ).
fof(f330,plain,
( ~ pd0_20
| op(e2,op(e0,e2)) = e0 ),
inference(cnf_transformation,[status(esa)],[f328]) ).
fof(f331,plain,
( ~ pd0_21
| ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 ) ),
inference(pre_NNF_transformation,[status(esa)],[f307]) ).
fof(f332,plain,
( ~ pd0_21
| op(e0,op(e0,e3)) != e3 ),
inference(cnf_transformation,[status(esa)],[f331]) ).
fof(f334,plain,
( ~ pd0_22
| ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 ) ),
inference(pre_NNF_transformation,[status(esa)],[f312]) ).
fof(f335,plain,
( ~ pd0_22
| op(e0,op(e0,e4)) != e4 ),
inference(cnf_transformation,[status(esa)],[f334]) ).
fof(f336,plain,
( ~ pd0_22
| op(e4,op(e0,e4)) = e0 ),
inference(cnf_transformation,[status(esa)],[f334]) ).
fof(f337,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 )
| ( 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)],[f317]) ).
fof(f338,plain,
( pd0_24
=> ( ( 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,[f337]) ).
fof(f339,plain,
( ~ pd0_23
| pd0_24
| ( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4
& op(op(e4,e0),e4) != e0 ) ),
inference(formula_renaming,[status(thm)],[f337,f338]) ).
fof(f340,plain,
( ~ pd0_23
| pd0_24
| op(e0,e4) != op(e4,e0) ),
inference(cnf_transformation,[status(esa)],[f339]) ).
fof(f342,plain,
( ~ pd0_23
| pd0_24
| op(op(e4,e0),e4) != e0 ),
inference(cnf_transformation,[status(esa)],[f339]) ).
fof(f343,plain,
( ~ pd0_24
| ( 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)],[f338]) ).
fof(f344,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 )
| ( 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,[f343]) ).
fof(f345,plain,
( ~ pd0_24
| pd0_25
| ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 ) ),
inference(formula_renaming,[status(thm)],[f343,f344]) ).
fof(f347,plain,
( ~ pd0_24
| pd0_25
| op(op(e3,e4),e4) = e3 ),
inference(cnf_transformation,[status(esa)],[f345]) ).
fof(f349,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 )
| ( 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)],[f344]) ).
fof(f350,plain,
( pd0_26
=> ( ( 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,[f349]) ).
fof(f351,plain,
( ~ pd0_25
| pd0_26
| ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 ) ),
inference(formula_renaming,[status(thm)],[f349,f350]) ).
fof(f352,plain,
( ~ pd0_25
| pd0_26
| op(e3,e3) != op(e3,e3) ),
inference(cnf_transformation,[status(esa)],[f351]) ).
fof(f355,plain,
( ~ pd0_26
| ( 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)],[f350]) ).
fof(f356,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 )
| ( 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,[f355]) ).
fof(f357,plain,
( ~ pd0_26
| pd0_27
| ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 ) ),
inference(formula_renaming,[status(thm)],[f355,f356]) ).
fof(f358,plain,
( ~ pd0_26
| pd0_27
| op(e2,e3) != op(e3,e2) ),
inference(cnf_transformation,[status(esa)],[f357]) ).
fof(f359,plain,
( ~ pd0_26
| pd0_27
| op(op(e3,e2),e2) = e3 ),
inference(cnf_transformation,[status(esa)],[f357]) ).
fof(f361,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 )
| ( 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)],[f356]) ).
fof(f362,plain,
( pd0_28
=> ( ( 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,[f361]) ).
fof(f363,plain,
( ~ pd0_27
| pd0_28
| ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 ) ),
inference(formula_renaming,[status(thm)],[f361,f362]) ).
fof(f364,plain,
( ~ pd0_27
| pd0_28
| op(e1,e3) != op(e3,e1) ),
inference(cnf_transformation,[status(esa)],[f363]) ).
fof(f366,plain,
( ~ pd0_27
| pd0_28
| op(op(e3,e1),e3) != e1 ),
inference(cnf_transformation,[status(esa)],[f363]) ).
fof(f367,plain,
( ~ pd0_28
| ( 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)],[f362]) ).
fof(f368,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 )
| ( 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,[f367]) ).
fof(f369,plain,
( ~ pd0_28
| pd0_29
| ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 ) ),
inference(formula_renaming,[status(thm)],[f367,f368]) ).
fof(f370,plain,
( ~ pd0_28
| pd0_29
| op(e0,e3) != op(e3,e0) ),
inference(cnf_transformation,[status(esa)],[f369]) ).
fof(f373,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 )
| ( 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)],[f368]) ).
fof(f374,plain,
( pd0_30
=> ( ( 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,[f373]) ).
fof(f375,plain,
( ~ pd0_29
| pd0_30
| ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 ) ),
inference(formula_renaming,[status(thm)],[f373,f374]) ).
fof(f376,plain,
( ~ pd0_29
| pd0_30
| op(e4,e2) != op(e2,e4) ),
inference(cnf_transformation,[status(esa)],[f375]) ).
fof(f377,plain,
( ~ pd0_29
| pd0_30
| op(op(e2,e4),e4) = e2 ),
inference(cnf_transformation,[status(esa)],[f375]) ).
fof(f379,plain,
( ~ pd0_30
| ( 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)],[f374]) ).
fof(f380,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 )
| ( 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,[f379]) ).
fof(f381,plain,
( ~ pd0_30
| pd0_31
| ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 ) ),
inference(formula_renaming,[status(thm)],[f379,f380]) ).
fof(f382,plain,
( ~ pd0_30
| pd0_31
| op(e3,e2) != op(e2,e3) ),
inference(cnf_transformation,[status(esa)],[f381]) ).
fof(f383,plain,
( ~ pd0_30
| pd0_31
| op(op(e2,e3),e3) = e2 ),
inference(cnf_transformation,[status(esa)],[f381]) ).
fof(f385,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 )
| ( 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)],[f380]) ).
fof(f386,plain,
( pd0_32
=> ( ( 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,[f385]) ).
fof(f387,plain,
( ~ pd0_31
| pd0_32
| ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 ) ),
inference(formula_renaming,[status(thm)],[f385,f386]) ).
fof(f388,plain,
( ~ pd0_31
| pd0_32
| op(e2,e2) != op(e2,e2) ),
inference(cnf_transformation,[status(esa)],[f387]) ).
fof(f391,plain,
( ~ pd0_32
| ( 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)],[f386]) ).
fof(f392,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 )
| ( 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,[f391]) ).
fof(f393,plain,
( ~ pd0_32
| pd0_33
| ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 ) ),
inference(formula_renaming,[status(thm)],[f391,f392]) ).
fof(f394,plain,
( ~ pd0_32
| pd0_33
| op(e1,e2) != op(e2,e1) ),
inference(cnf_transformation,[status(esa)],[f393]) ).
fof(f395,plain,
( ~ pd0_32
| pd0_33
| op(op(e2,e1),e1) = e2 ),
inference(cnf_transformation,[status(esa)],[f393]) ).
fof(f396,plain,
( ~ pd0_32
| pd0_33
| op(op(e2,e1),e2) != e1 ),
inference(cnf_transformation,[status(esa)],[f393]) ).
fof(f397,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 )
| ( 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)],[f392]) ).
fof(f398,plain,
( pd0_34
=> ( ( 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,[f397]) ).
fof(f399,plain,
( ~ pd0_33
| pd0_34
| ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 ) ),
inference(formula_renaming,[status(thm)],[f397,f398]) ).
fof(f400,plain,
( ~ pd0_33
| pd0_34
| op(e0,e2) != op(e2,e0) ),
inference(cnf_transformation,[status(esa)],[f399]) ).
fof(f403,plain,
( ~ pd0_34
| ( 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)],[f398]) ).
fof(f404,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 )
| ( 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,[f403]) ).
fof(f405,plain,
( ~ pd0_34
| pd0_35
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 ) ),
inference(formula_renaming,[status(thm)],[f403,f404]) ).
fof(f406,plain,
( ~ pd0_34
| pd0_35
| op(e4,e1) != op(e1,e4) ),
inference(cnf_transformation,[status(esa)],[f405]) ).
fof(f407,plain,
( ~ pd0_34
| pd0_35
| op(op(e1,e4),e4) = e1 ),
inference(cnf_transformation,[status(esa)],[f405]) ).
fof(f409,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 )
| ( 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)],[f404]) ).
fof(f410,plain,
( pd0_36
=> ( ( 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,[f409]) ).
fof(f411,plain,
( ~ pd0_35
| pd0_36
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 ) ),
inference(formula_renaming,[status(thm)],[f409,f410]) ).
fof(f412,plain,
( ~ pd0_35
| pd0_36
| op(e3,e1) != op(e1,e3) ),
inference(cnf_transformation,[status(esa)],[f411]) ).
fof(f413,plain,
( ~ pd0_35
| pd0_36
| op(op(e1,e3),e3) = e1 ),
inference(cnf_transformation,[status(esa)],[f411]) ).
fof(f415,plain,
( ~ pd0_36
| ( 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)],[f410]) ).
fof(f416,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 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 ) ) ),
introduced(predicate_definition,[f415]) ).
fof(f417,plain,
( ~ pd0_36
| pd0_37
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 ) ),
inference(formula_renaming,[status(thm)],[f415,f416]) ).
fof(f418,plain,
( ~ pd0_36
| pd0_37
| op(e2,e1) != op(e1,e2) ),
inference(cnf_transformation,[status(esa)],[f417]) ).
fof(f419,plain,
( ~ pd0_36
| pd0_37
| op(op(e1,e2),e2) = e1 ),
inference(cnf_transformation,[status(esa)],[f417]) ).
fof(f420,plain,
( ~ pd0_36
| pd0_37
| op(op(e1,e2),e1) != e2 ),
inference(cnf_transformation,[status(esa)],[f417]) ).
fof(f421,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 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 ) ),
inference(pre_NNF_transformation,[status(esa)],[f416]) ).
fof(f422,plain,
( pd0_38
=> ( ( 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,[f421]) ).
fof(f423,plain,
( ~ pd0_37
| pd0_38
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 ) ),
inference(formula_renaming,[status(thm)],[f421,f422]) ).
fof(f424,plain,
( ~ pd0_37
| pd0_38
| op(e1,e1) != op(e1,e1) ),
inference(cnf_transformation,[status(esa)],[f423]) ).
fof(f427,plain,
( ~ pd0_38
| ( 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)],[f422]) ).
fof(f428,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,[f427]) ).
fof(f429,plain,
( ~ pd0_38
| 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)],[f427,f428]) ).
fof(f430,plain,
( ~ pd0_38
| pd0_39
| op(e0,e1) != op(e1,e0) ),
inference(cnf_transformation,[status(esa)],[f429]) ).
fof(f433,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)],[f428]) ).
fof(f434,plain,
( pd0_40
=> ( ( 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,[f433]) ).
fof(f435,plain,
( ~ pd0_39
| pd0_40
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 ) ),
inference(formula_renaming,[status(thm)],[f433,f434]) ).
fof(f436,plain,
( ~ pd0_39
| pd0_40
| op(e4,e0) != op(e0,e4) ),
inference(cnf_transformation,[status(esa)],[f435]) ).
fof(f437,plain,
( ~ pd0_39
| pd0_40
| op(op(e0,e4),e4) = e0 ),
inference(cnf_transformation,[status(esa)],[f435]) ).
fof(f439,plain,
( ~ pd0_40
| ( 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)],[f434]) ).
fof(f440,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 ) ) ),
introduced(predicate_definition,[f439]) ).
fof(f441,plain,
( ~ pd0_40
| pd0_41
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 ) ),
inference(formula_renaming,[status(thm)],[f439,f440]) ).
fof(f442,plain,
( ~ pd0_40
| pd0_41
| op(e3,e0) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f441]) ).
fof(f445,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 ) ),
inference(pre_NNF_transformation,[status(esa)],[f440]) ).
fof(f446,plain,
( pd0_42
=> ( ( 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,[f445]) ).
fof(f447,plain,
( ~ pd0_41
| pd0_42
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 ) ),
inference(formula_renaming,[status(thm)],[f445,f446]) ).
fof(f448,plain,
( ~ pd0_41
| pd0_42
| op(e2,e0) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f447]) ).
fof(f449,plain,
( ~ pd0_41
| pd0_42
| op(op(e0,e2),e2) = e0 ),
inference(cnf_transformation,[status(esa)],[f447]) ).
fof(f451,plain,
( ~ pd0_42
| ( 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)],[f446]) ).
fof(f452,plain,
( pd0_43
=> ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 ) ),
introduced(predicate_definition,[f451]) ).
fof(f453,plain,
( ~ pd0_42
| pd0_43
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 ) ),
inference(formula_renaming,[status(thm)],[f451,f452]) ).
fof(f454,plain,
( ~ pd0_42
| pd0_43
| op(e1,e0) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f453]) ).
fof(f456,plain,
( ~ pd0_42
| pd0_43
| op(op(e0,e1),e0) != e1 ),
inference(cnf_transformation,[status(esa)],[f453]) ).
fof(f457,plain,
( ~ pd0_43
| ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 ) ),
inference(pre_NNF_transformation,[status(esa)],[f452]) ).
fof(f458,plain,
( ~ pd0_43
| op(e0,e0) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f457]) ).
fof(f461,plain,
( spl0_0
<=> op(e0,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f464,plain,
( spl0_1
<=> op(e0,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f467,plain,
( spl0_2
<=> op(e0,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f468,plain,
( op(e0,e0) = e2
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f467]) ).
fof(f470,plain,
( spl0_3
<=> op(e0,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f471,plain,
( op(e0,e0) = e3
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f470]) ).
fof(f473,plain,
( spl0_4
<=> op(e0,e0) = e4 ),
introduced(split_symbol_definition) ).
fof(f474,plain,
( op(e0,e0) = e4
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f473]) ).
fof(f477,plain,
( spl0_5
<=> op(e0,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f478,plain,
( op(e0,e1) = e0
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f477]) ).
fof(f480,plain,
( spl0_6
<=> op(e0,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f481,plain,
( op(e0,e1) = e1
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f480]) ).
fof(f483,plain,
( spl0_7
<=> op(e0,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f484,plain,
( op(e0,e1) = e2
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f483]) ).
fof(f486,plain,
( spl0_8
<=> op(e0,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f487,plain,
( op(e0,e1) = e3
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f486]) ).
fof(f489,plain,
( spl0_9
<=> op(e0,e1) = e4 ),
introduced(split_symbol_definition) ).
fof(f493,plain,
( spl0_10
<=> op(e0,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f494,plain,
( op(e0,e2) = e0
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f493]) ).
fof(f496,plain,
( spl0_11
<=> op(e0,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f497,plain,
( op(e0,e2) = e1
| ~ spl0_11 ),
inference(component_clause,[status(thm)],[f496]) ).
fof(f499,plain,
( spl0_12
<=> op(e0,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f500,plain,
( op(e0,e2) = e2
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f499]) ).
fof(f502,plain,
( spl0_13
<=> op(e0,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f503,plain,
( op(e0,e2) = e3
| ~ spl0_13 ),
inference(component_clause,[status(thm)],[f502]) ).
fof(f505,plain,
( spl0_14
<=> op(e0,e2) = e4 ),
introduced(split_symbol_definition) ).
fof(f509,plain,
( spl0_15
<=> op(e0,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f510,plain,
( op(e0,e3) = e0
| ~ spl0_15 ),
inference(component_clause,[status(thm)],[f509]) ).
fof(f512,plain,
( spl0_16
<=> op(e0,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f513,plain,
( op(e0,e3) = e1
| ~ spl0_16 ),
inference(component_clause,[status(thm)],[f512]) ).
fof(f515,plain,
( spl0_17
<=> op(e0,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f518,plain,
( spl0_18
<=> op(e0,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f519,plain,
( op(e0,e3) = e3
| ~ spl0_18 ),
inference(component_clause,[status(thm)],[f518]) ).
fof(f521,plain,
( spl0_19
<=> op(e0,e3) = e4 ),
introduced(split_symbol_definition) ).
fof(f522,plain,
( op(e0,e3) = e4
| ~ spl0_19 ),
inference(component_clause,[status(thm)],[f521]) ).
fof(f524,plain,
( spl0_15
| spl0_16
| spl0_17
| spl0_18
| spl0_19 ),
inference(split_clause,[status(thm)],[f12,f509,f512,f515,f518,f521]) ).
fof(f525,plain,
( spl0_20
<=> op(e0,e4) = e0 ),
introduced(split_symbol_definition) ).
fof(f526,plain,
( op(e0,e4) = e0
| ~ spl0_20 ),
inference(component_clause,[status(thm)],[f525]) ).
fof(f528,plain,
( spl0_21
<=> op(e0,e4) = e1 ),
introduced(split_symbol_definition) ).
fof(f529,plain,
( op(e0,e4) = e1
| ~ spl0_21 ),
inference(component_clause,[status(thm)],[f528]) ).
fof(f531,plain,
( spl0_22
<=> op(e0,e4) = e2 ),
introduced(split_symbol_definition) ).
fof(f532,plain,
( op(e0,e4) = e2
| ~ spl0_22 ),
inference(component_clause,[status(thm)],[f531]) ).
fof(f534,plain,
( spl0_23
<=> op(e0,e4) = e3 ),
introduced(split_symbol_definition) ).
fof(f535,plain,
( op(e0,e4) = e3
| ~ spl0_23 ),
inference(component_clause,[status(thm)],[f534]) ).
fof(f537,plain,
( spl0_24
<=> op(e0,e4) = e4 ),
introduced(split_symbol_definition) ).
fof(f538,plain,
( op(e0,e4) = e4
| ~ spl0_24 ),
inference(component_clause,[status(thm)],[f537]) ).
fof(f541,plain,
( spl0_25
<=> op(e1,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f542,plain,
( op(e1,e0) = e0
| ~ spl0_25 ),
inference(component_clause,[status(thm)],[f541]) ).
fof(f544,plain,
( spl0_26
<=> op(e1,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f545,plain,
( op(e1,e0) = e1
| ~ spl0_26 ),
inference(component_clause,[status(thm)],[f544]) ).
fof(f547,plain,
( spl0_27
<=> op(e1,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f548,plain,
( op(e1,e0) = e2
| ~ spl0_27 ),
inference(component_clause,[status(thm)],[f547]) ).
fof(f550,plain,
( spl0_28
<=> op(e1,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f551,plain,
( op(e1,e0) = e3
| ~ spl0_28 ),
inference(component_clause,[status(thm)],[f550]) ).
fof(f552,plain,
( op(e1,e0) != e3
| spl0_28 ),
inference(component_clause,[status(thm)],[f550]) ).
fof(f553,plain,
( spl0_29
<=> op(e1,e0) = e4 ),
introduced(split_symbol_definition) ).
fof(f554,plain,
( op(e1,e0) = e4
| ~ spl0_29 ),
inference(component_clause,[status(thm)],[f553]) ).
fof(f560,plain,
( spl0_31
<=> op(e1,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f561,plain,
( op(e1,e1) = e1
| ~ spl0_31 ),
inference(component_clause,[status(thm)],[f560]) ).
fof(f563,plain,
( spl0_32
<=> op(e1,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f564,plain,
( op(e1,e1) = e2
| ~ spl0_32 ),
inference(component_clause,[status(thm)],[f563]) ).
fof(f566,plain,
( spl0_33
<=> op(e1,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f567,plain,
( op(e1,e1) = e3
| ~ spl0_33 ),
inference(component_clause,[status(thm)],[f566]) ).
fof(f569,plain,
( spl0_34
<=> op(e1,e1) = e4 ),
introduced(split_symbol_definition) ).
fof(f573,plain,
( spl0_35
<=> op(e1,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f574,plain,
( op(e1,e2) = e0
| ~ spl0_35 ),
inference(component_clause,[status(thm)],[f573]) ).
fof(f576,plain,
( spl0_36
<=> op(e1,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f577,plain,
( op(e1,e2) = e1
| ~ spl0_36 ),
inference(component_clause,[status(thm)],[f576]) ).
fof(f579,plain,
( spl0_37
<=> op(e1,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f580,plain,
( op(e1,e2) = e2
| ~ spl0_37 ),
inference(component_clause,[status(thm)],[f579]) ).
fof(f582,plain,
( spl0_38
<=> op(e1,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f583,plain,
( op(e1,e2) = e3
| ~ spl0_38 ),
inference(component_clause,[status(thm)],[f582]) ).
fof(f585,plain,
( spl0_39
<=> op(e1,e2) = e4 ),
introduced(split_symbol_definition) ).
fof(f586,plain,
( op(e1,e2) = e4
| ~ spl0_39 ),
inference(component_clause,[status(thm)],[f585]) ).
fof(f589,plain,
( spl0_40
<=> op(e1,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f590,plain,
( op(e1,e3) = e0
| ~ spl0_40 ),
inference(component_clause,[status(thm)],[f589]) ).
fof(f592,plain,
( spl0_41
<=> op(e1,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f593,plain,
( op(e1,e3) = e1
| ~ spl0_41 ),
inference(component_clause,[status(thm)],[f592]) ).
fof(f595,plain,
( spl0_42
<=> op(e1,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f596,plain,
( op(e1,e3) = e2
| ~ spl0_42 ),
inference(component_clause,[status(thm)],[f595]) ).
fof(f598,plain,
( spl0_43
<=> op(e1,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f599,plain,
( op(e1,e3) = e3
| ~ spl0_43 ),
inference(component_clause,[status(thm)],[f598]) ).
fof(f601,plain,
( spl0_44
<=> op(e1,e3) = e4 ),
introduced(split_symbol_definition) ).
fof(f602,plain,
( op(e1,e3) = e4
| ~ spl0_44 ),
inference(component_clause,[status(thm)],[f601]) ).
fof(f605,plain,
( spl0_45
<=> op(e1,e4) = e0 ),
introduced(split_symbol_definition) ).
fof(f606,plain,
( op(e1,e4) = e0
| ~ spl0_45 ),
inference(component_clause,[status(thm)],[f605]) ).
fof(f608,plain,
( spl0_46
<=> op(e1,e4) = e1 ),
introduced(split_symbol_definition) ).
fof(f609,plain,
( op(e1,e4) = e1
| ~ spl0_46 ),
inference(component_clause,[status(thm)],[f608]) ).
fof(f611,plain,
( spl0_47
<=> op(e1,e4) = e2 ),
introduced(split_symbol_definition) ).
fof(f612,plain,
( op(e1,e4) = e2
| ~ spl0_47 ),
inference(component_clause,[status(thm)],[f611]) ).
fof(f614,plain,
( spl0_48
<=> op(e1,e4) = e3 ),
introduced(split_symbol_definition) ).
fof(f615,plain,
( op(e1,e4) = e3
| ~ spl0_48 ),
inference(component_clause,[status(thm)],[f614]) ).
fof(f617,plain,
( spl0_49
<=> op(e1,e4) = e4 ),
introduced(split_symbol_definition) ).
fof(f618,plain,
( op(e1,e4) = e4
| ~ spl0_49 ),
inference(component_clause,[status(thm)],[f617]) ).
fof(f620,plain,
( spl0_45
| spl0_46
| spl0_47
| spl0_48
| spl0_49 ),
inference(split_clause,[status(thm)],[f18,f605,f608,f611,f614,f617]) ).
fof(f621,plain,
( spl0_50
<=> op(e2,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f622,plain,
( op(e2,e0) = e0
| ~ spl0_50 ),
inference(component_clause,[status(thm)],[f621]) ).
fof(f624,plain,
( spl0_51
<=> op(e2,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f625,plain,
( op(e2,e0) = e1
| ~ spl0_51 ),
inference(component_clause,[status(thm)],[f624]) ).
fof(f627,plain,
( spl0_52
<=> op(e2,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f628,plain,
( op(e2,e0) = e2
| ~ spl0_52 ),
inference(component_clause,[status(thm)],[f627]) ).
fof(f630,plain,
( spl0_53
<=> op(e2,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f633,plain,
( spl0_54
<=> op(e2,e0) = e4 ),
introduced(split_symbol_definition) ).
fof(f637,plain,
( spl0_55
<=> op(e2,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f638,plain,
( op(e2,e1) = e0
| ~ spl0_55 ),
inference(component_clause,[status(thm)],[f637]) ).
fof(f640,plain,
( spl0_56
<=> op(e2,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f643,plain,
( spl0_57
<=> op(e2,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f644,plain,
( op(e2,e1) = e2
| ~ spl0_57 ),
inference(component_clause,[status(thm)],[f643]) ).
fof(f646,plain,
( spl0_58
<=> op(e2,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f647,plain,
( op(e2,e1) = e3
| ~ spl0_58 ),
inference(component_clause,[status(thm)],[f646]) ).
fof(f649,plain,
( spl0_59
<=> op(e2,e1) = e4 ),
introduced(split_symbol_definition) ).
fof(f650,plain,
( op(e2,e1) = e4
| ~ spl0_59 ),
inference(component_clause,[status(thm)],[f649]) ).
fof(f652,plain,
( spl0_55
| spl0_56
| spl0_57
| spl0_58
| spl0_59 ),
inference(split_clause,[status(thm)],[f20,f637,f640,f643,f646,f649]) ).
fof(f653,plain,
( spl0_60
<=> op(e2,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f654,plain,
( op(e2,e2) = e0
| ~ spl0_60 ),
inference(component_clause,[status(thm)],[f653]) ).
fof(f656,plain,
( spl0_61
<=> op(e2,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f657,plain,
( op(e2,e2) = e1
| ~ spl0_61 ),
inference(component_clause,[status(thm)],[f656]) ).
fof(f659,plain,
( spl0_62
<=> op(e2,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f660,plain,
( op(e2,e2) = e2
| ~ spl0_62 ),
inference(component_clause,[status(thm)],[f659]) ).
fof(f662,plain,
( spl0_63
<=> op(e2,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f663,plain,
( op(e2,e2) = e3
| ~ spl0_63 ),
inference(component_clause,[status(thm)],[f662]) ).
fof(f665,plain,
( spl0_64
<=> op(e2,e2) = e4 ),
introduced(split_symbol_definition) ).
fof(f668,plain,
( spl0_60
| spl0_61
| spl0_62
| spl0_63
| spl0_64 ),
inference(split_clause,[status(thm)],[f21,f653,f656,f659,f662,f665]) ).
fof(f669,plain,
( spl0_65
<=> op(e2,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f670,plain,
( op(e2,e3) = e0
| ~ spl0_65 ),
inference(component_clause,[status(thm)],[f669]) ).
fof(f672,plain,
( spl0_66
<=> op(e2,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f673,plain,
( op(e2,e3) = e1
| ~ spl0_66 ),
inference(component_clause,[status(thm)],[f672]) ).
fof(f675,plain,
( spl0_67
<=> op(e2,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f676,plain,
( op(e2,e3) = e2
| ~ spl0_67 ),
inference(component_clause,[status(thm)],[f675]) ).
fof(f678,plain,
( spl0_68
<=> op(e2,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f679,plain,
( op(e2,e3) = e3
| ~ spl0_68 ),
inference(component_clause,[status(thm)],[f678]) ).
fof(f681,plain,
( spl0_69
<=> op(e2,e3) = e4 ),
introduced(split_symbol_definition) ).
fof(f682,plain,
( op(e2,e3) = e4
| ~ spl0_69 ),
inference(component_clause,[status(thm)],[f681]) ).
fof(f685,plain,
( spl0_70
<=> op(e2,e4) = e0 ),
introduced(split_symbol_definition) ).
fof(f686,plain,
( op(e2,e4) = e0
| ~ spl0_70 ),
inference(component_clause,[status(thm)],[f685]) ).
fof(f688,plain,
( spl0_71
<=> op(e2,e4) = e1 ),
introduced(split_symbol_definition) ).
fof(f689,plain,
( op(e2,e4) = e1
| ~ spl0_71 ),
inference(component_clause,[status(thm)],[f688]) ).
fof(f691,plain,
( spl0_72
<=> op(e2,e4) = e2 ),
introduced(split_symbol_definition) ).
fof(f692,plain,
( op(e2,e4) = e2
| ~ spl0_72 ),
inference(component_clause,[status(thm)],[f691]) ).
fof(f694,plain,
( spl0_73
<=> op(e2,e4) = e3 ),
introduced(split_symbol_definition) ).
fof(f695,plain,
( op(e2,e4) = e3
| ~ spl0_73 ),
inference(component_clause,[status(thm)],[f694]) ).
fof(f697,plain,
( spl0_74
<=> op(e2,e4) = e4 ),
introduced(split_symbol_definition) ).
fof(f698,plain,
( op(e2,e4) = e4
| ~ spl0_74 ),
inference(component_clause,[status(thm)],[f697]) ).
fof(f700,plain,
( spl0_70
| spl0_71
| spl0_72
| spl0_73
| spl0_74 ),
inference(split_clause,[status(thm)],[f23,f685,f688,f691,f694,f697]) ).
fof(f704,plain,
( spl0_76
<=> op(e3,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f705,plain,
( op(e3,e0) = e1
| ~ spl0_76 ),
inference(component_clause,[status(thm)],[f704]) ).
fof(f707,plain,
( spl0_77
<=> op(e3,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f708,plain,
( op(e3,e0) = e2
| ~ spl0_77 ),
inference(component_clause,[status(thm)],[f707]) ).
fof(f710,plain,
( spl0_78
<=> op(e3,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f711,plain,
( op(e3,e0) = e3
| ~ spl0_78 ),
inference(component_clause,[status(thm)],[f710]) ).
fof(f713,plain,
( spl0_79
<=> op(e3,e0) = e4 ),
introduced(split_symbol_definition) ).
fof(f714,plain,
( op(e3,e0) = e4
| ~ spl0_79 ),
inference(component_clause,[status(thm)],[f713]) ).
fof(f717,plain,
( spl0_80
<=> op(e3,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f718,plain,
( op(e3,e1) = e0
| ~ spl0_80 ),
inference(component_clause,[status(thm)],[f717]) ).
fof(f720,plain,
( spl0_81
<=> op(e3,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f721,plain,
( op(e3,e1) = e1
| ~ spl0_81 ),
inference(component_clause,[status(thm)],[f720]) ).
fof(f723,plain,
( spl0_82
<=> op(e3,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f724,plain,
( op(e3,e1) = e2
| ~ spl0_82 ),
inference(component_clause,[status(thm)],[f723]) ).
fof(f726,plain,
( spl0_83
<=> op(e3,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f727,plain,
( op(e3,e1) = e3
| ~ spl0_83 ),
inference(component_clause,[status(thm)],[f726]) ).
fof(f729,plain,
( spl0_84
<=> op(e3,e1) = e4 ),
introduced(split_symbol_definition) ).
fof(f730,plain,
( op(e3,e1) = e4
| ~ spl0_84 ),
inference(component_clause,[status(thm)],[f729]) ).
fof(f732,plain,
( spl0_80
| spl0_81
| spl0_82
| spl0_83
| spl0_84 ),
inference(split_clause,[status(thm)],[f25,f717,f720,f723,f726,f729]) ).
fof(f733,plain,
( spl0_85
<=> op(e3,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f734,plain,
( op(e3,e2) = e0
| ~ spl0_85 ),
inference(component_clause,[status(thm)],[f733]) ).
fof(f736,plain,
( spl0_86
<=> op(e3,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f737,plain,
( op(e3,e2) = e1
| ~ spl0_86 ),
inference(component_clause,[status(thm)],[f736]) ).
fof(f739,plain,
( spl0_87
<=> op(e3,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f742,plain,
( spl0_88
<=> op(e3,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f743,plain,
( op(e3,e2) = e3
| ~ spl0_88 ),
inference(component_clause,[status(thm)],[f742]) ).
fof(f745,plain,
( spl0_89
<=> op(e3,e2) = e4 ),
introduced(split_symbol_definition) ).
fof(f746,plain,
( op(e3,e2) = e4
| ~ spl0_89 ),
inference(component_clause,[status(thm)],[f745]) ).
fof(f748,plain,
( spl0_85
| spl0_86
| spl0_87
| spl0_88
| spl0_89 ),
inference(split_clause,[status(thm)],[f26,f733,f736,f739,f742,f745]) ).
fof(f749,plain,
( spl0_90
<=> op(e3,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f750,plain,
( op(e3,e3) = e0
| ~ spl0_90 ),
inference(component_clause,[status(thm)],[f749]) ).
fof(f752,plain,
( spl0_91
<=> op(e3,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f753,plain,
( op(e3,e3) = e1
| ~ spl0_91 ),
inference(component_clause,[status(thm)],[f752]) ).
fof(f755,plain,
( spl0_92
<=> op(e3,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f756,plain,
( op(e3,e3) = e2
| ~ spl0_92 ),
inference(component_clause,[status(thm)],[f755]) ).
fof(f758,plain,
( spl0_93
<=> op(e3,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f759,plain,
( op(e3,e3) = e3
| ~ spl0_93 ),
inference(component_clause,[status(thm)],[f758]) ).
fof(f761,plain,
( spl0_94
<=> op(e3,e3) = e4 ),
introduced(split_symbol_definition) ).
fof(f762,plain,
( op(e3,e3) = e4
| ~ spl0_94 ),
inference(component_clause,[status(thm)],[f761]) ).
fof(f765,plain,
( spl0_95
<=> op(e3,e4) = e0 ),
introduced(split_symbol_definition) ).
fof(f766,plain,
( op(e3,e4) = e0
| ~ spl0_95 ),
inference(component_clause,[status(thm)],[f765]) ).
fof(f768,plain,
( spl0_96
<=> op(e3,e4) = e1 ),
introduced(split_symbol_definition) ).
fof(f769,plain,
( op(e3,e4) = e1
| ~ spl0_96 ),
inference(component_clause,[status(thm)],[f768]) ).
fof(f771,plain,
( spl0_97
<=> op(e3,e4) = e2 ),
introduced(split_symbol_definition) ).
fof(f772,plain,
( op(e3,e4) = e2
| ~ spl0_97 ),
inference(component_clause,[status(thm)],[f771]) ).
fof(f774,plain,
( spl0_98
<=> op(e3,e4) = e3 ),
introduced(split_symbol_definition) ).
fof(f775,plain,
( op(e3,e4) = e3
| ~ spl0_98 ),
inference(component_clause,[status(thm)],[f774]) ).
fof(f777,plain,
( spl0_99
<=> op(e3,e4) = e4 ),
introduced(split_symbol_definition) ).
fof(f778,plain,
( op(e3,e4) = e4
| ~ spl0_99 ),
inference(component_clause,[status(thm)],[f777]) ).
fof(f781,plain,
( spl0_100
<=> op(e4,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f784,plain,
( spl0_101
<=> op(e4,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f785,plain,
( op(e4,e0) = e1
| ~ spl0_101 ),
inference(component_clause,[status(thm)],[f784]) ).
fof(f787,plain,
( spl0_102
<=> op(e4,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f790,plain,
( spl0_103
<=> op(e4,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f791,plain,
( op(e4,e0) = e3
| ~ spl0_103 ),
inference(component_clause,[status(thm)],[f790]) ).
fof(f793,plain,
( spl0_104
<=> op(e4,e0) = e4 ),
introduced(split_symbol_definition) ).
fof(f794,plain,
( op(e4,e0) = e4
| ~ spl0_104 ),
inference(component_clause,[status(thm)],[f793]) ).
fof(f796,plain,
( spl0_100
| spl0_101
| spl0_102
| spl0_103
| spl0_104 ),
inference(split_clause,[status(thm)],[f29,f781,f784,f787,f790,f793]) ).
fof(f797,plain,
( spl0_105
<=> op(e4,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f798,plain,
( op(e4,e1) = e0
| ~ spl0_105 ),
inference(component_clause,[status(thm)],[f797]) ).
fof(f800,plain,
( spl0_106
<=> op(e4,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f801,plain,
( op(e4,e1) = e1
| ~ spl0_106 ),
inference(component_clause,[status(thm)],[f800]) ).
fof(f803,plain,
( spl0_107
<=> op(e4,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f806,plain,
( spl0_108
<=> op(e4,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f807,plain,
( op(e4,e1) = e3
| ~ spl0_108 ),
inference(component_clause,[status(thm)],[f806]) ).
fof(f809,plain,
( spl0_109
<=> op(e4,e1) = e4 ),
introduced(split_symbol_definition) ).
fof(f810,plain,
( op(e4,e1) = e4
| ~ spl0_109 ),
inference(component_clause,[status(thm)],[f809]) ).
fof(f813,plain,
( spl0_110
<=> op(e4,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f816,plain,
( spl0_111
<=> op(e4,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f817,plain,
( op(e4,e2) = e1
| ~ spl0_111 ),
inference(component_clause,[status(thm)],[f816]) ).
fof(f819,plain,
( spl0_112
<=> op(e4,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f820,plain,
( op(e4,e2) = e2
| ~ spl0_112 ),
inference(component_clause,[status(thm)],[f819]) ).
fof(f822,plain,
( spl0_113
<=> op(e4,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f823,plain,
( op(e4,e2) = e3
| ~ spl0_113 ),
inference(component_clause,[status(thm)],[f822]) ).
fof(f825,plain,
( spl0_114
<=> op(e4,e2) = e4 ),
introduced(split_symbol_definition) ).
fof(f826,plain,
( op(e4,e2) = e4
| ~ spl0_114 ),
inference(component_clause,[status(thm)],[f825]) ).
fof(f828,plain,
( spl0_110
| spl0_111
| spl0_112
| spl0_113
| spl0_114 ),
inference(split_clause,[status(thm)],[f31,f813,f816,f819,f822,f825]) ).
fof(f829,plain,
( spl0_115
<=> op(e4,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f830,plain,
( op(e4,e3) = e0
| ~ spl0_115 ),
inference(component_clause,[status(thm)],[f829]) ).
fof(f832,plain,
( spl0_116
<=> op(e4,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f833,plain,
( op(e4,e3) = e1
| ~ spl0_116 ),
inference(component_clause,[status(thm)],[f832]) ).
fof(f835,plain,
( spl0_117
<=> op(e4,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f836,plain,
( op(e4,e3) = e2
| ~ spl0_117 ),
inference(component_clause,[status(thm)],[f835]) ).
fof(f838,plain,
( spl0_118
<=> op(e4,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f839,plain,
( op(e4,e3) = e3
| ~ spl0_118 ),
inference(component_clause,[status(thm)],[f838]) ).
fof(f841,plain,
( spl0_119
<=> op(e4,e3) = e4 ),
introduced(split_symbol_definition) ).
fof(f842,plain,
( op(e4,e3) = e4
| ~ spl0_119 ),
inference(component_clause,[status(thm)],[f841]) ).
fof(f844,plain,
( spl0_115
| spl0_116
| spl0_117
| spl0_118
| spl0_119 ),
inference(split_clause,[status(thm)],[f32,f829,f832,f835,f838,f841]) ).
fof(f845,plain,
( spl0_120
<=> op(e4,e4) = e0 ),
introduced(split_symbol_definition) ).
fof(f846,plain,
( op(e4,e4) = e0
| ~ spl0_120 ),
inference(component_clause,[status(thm)],[f845]) ).
fof(f848,plain,
( spl0_121
<=> op(e4,e4) = e1 ),
introduced(split_symbol_definition) ).
fof(f849,plain,
( op(e4,e4) = e1
| ~ spl0_121 ),
inference(component_clause,[status(thm)],[f848]) ).
fof(f851,plain,
( spl0_122
<=> op(e4,e4) = e2 ),
introduced(split_symbol_definition) ).
fof(f852,plain,
( op(e4,e4) = e2
| ~ spl0_122 ),
inference(component_clause,[status(thm)],[f851]) ).
fof(f854,plain,
( spl0_123
<=> op(e4,e4) = e3 ),
introduced(split_symbol_definition) ).
fof(f855,plain,
( op(e4,e4) = e3
| ~ spl0_123 ),
inference(component_clause,[status(thm)],[f854]) ).
fof(f857,plain,
( spl0_124
<=> op(e4,e4) = e4 ),
introduced(split_symbol_definition) ).
fof(f858,plain,
( op(e4,e4) = e4
| ~ spl0_124 ),
inference(component_clause,[status(thm)],[f857]) ).
fof(f860,plain,
( spl0_120
| spl0_121
| spl0_122
| spl0_123
| spl0_124 ),
inference(split_clause,[status(thm)],[f33,f845,f848,f851,f854,f857]) ).
fof(f861,plain,
( spl0_125
<=> unit = e0 ),
introduced(split_symbol_definition) ).
fof(f862,plain,
( unit = e0
| ~ spl0_125 ),
inference(component_clause,[status(thm)],[f861]) ).
fof(f864,plain,
( spl0_126
<=> unit = e1 ),
introduced(split_symbol_definition) ).
fof(f865,plain,
( unit = e1
| ~ spl0_126 ),
inference(component_clause,[status(thm)],[f864]) ).
fof(f867,plain,
( spl0_127
<=> unit = e2 ),
introduced(split_symbol_definition) ).
fof(f868,plain,
( unit = e2
| ~ spl0_127 ),
inference(component_clause,[status(thm)],[f867]) ).
fof(f870,plain,
( spl0_128
<=> unit = e3 ),
introduced(split_symbol_definition) ).
fof(f871,plain,
( unit = e3
| ~ spl0_128 ),
inference(component_clause,[status(thm)],[f870]) ).
fof(f873,plain,
( spl0_129
<=> unit = e4 ),
introduced(split_symbol_definition) ).
fof(f874,plain,
( unit = e4
| ~ spl0_129 ),
inference(component_clause,[status(thm)],[f873]) ).
fof(f876,plain,
( spl0_125
| spl0_126
| spl0_127
| spl0_128
| spl0_129 ),
inference(split_clause,[status(thm)],[f44,f861,f864,f867,f870,f873]) ).
fof(f877,plain,
( spl0_0
| spl0_5
| spl0_10
| spl0_15
| spl0_20 ),
inference(split_clause,[status(thm)],[f45,f461,f477,f493,f509,f525]) ).
fof(f879,plain,
( spl0_1
| spl0_6
| spl0_11
| spl0_16
| spl0_21 ),
inference(split_clause,[status(thm)],[f47,f464,f480,f496,f512,f528]) ).
fof(f882,plain,
( spl0_2
| spl0_27
| spl0_52
| spl0_77
| spl0_102 ),
inference(split_clause,[status(thm)],[f50,f467,f547,f627,f707,f787]) ).
fof(f883,plain,
( spl0_3
| spl0_8
| spl0_13
| spl0_18
| spl0_23 ),
inference(split_clause,[status(thm)],[f51,f470,f486,f502,f518,f534]) ).
fof(f892,plain,
( spl0_7
| spl0_32
| spl0_57
| spl0_82
| spl0_107 ),
inference(split_clause,[status(thm)],[f60,f483,f563,f643,f723,f803]) ).
fof(f896,plain,
( spl0_9
| spl0_34
| spl0_59
| spl0_84
| spl0_109 ),
inference(split_clause,[status(thm)],[f64,f489,f569,f649,f729,f809]) ).
fof(f897,plain,
( spl0_50
| spl0_55
| spl0_60
| spl0_65
| spl0_70 ),
inference(split_clause,[status(thm)],[f65,f621,f637,f653,f669,f685]) ).
fof(f898,plain,
( spl0_10
| spl0_35
| spl0_60
| spl0_85
| spl0_110 ),
inference(split_clause,[status(thm)],[f66,f493,f573,f653,f733,f813]) ).
fof(f899,plain,
( spl0_51
| spl0_56
| spl0_61
| spl0_66
| spl0_71 ),
inference(split_clause,[status(thm)],[f67,f624,f640,f656,f672,f688]) ).
fof(f900,plain,
( spl0_11
| spl0_36
| spl0_61
| spl0_86
| spl0_111 ),
inference(split_clause,[status(thm)],[f68,f496,f576,f656,f736,f816]) ).
fof(f901,plain,
( spl0_52
| spl0_57
| spl0_62
| spl0_67
| spl0_72 ),
inference(split_clause,[status(thm)],[f69,f627,f643,f659,f675,f691]) ).
fof(f904,plain,
( spl0_13
| spl0_38
| spl0_63
| spl0_88
| spl0_113 ),
inference(split_clause,[status(thm)],[f72,f502,f582,f662,f742,f822]) ).
fof(f908,plain,
( spl0_15
| spl0_40
| spl0_65
| spl0_90
| spl0_115 ),
inference(split_clause,[status(thm)],[f76,f509,f589,f669,f749,f829]) ).
fof(f910,plain,
( spl0_16
| spl0_41
| spl0_66
| spl0_91
| spl0_116 ),
inference(split_clause,[status(thm)],[f78,f512,f592,f672,f752,f832]) ).
fof(f911,plain,
( spl0_77
| spl0_82
| spl0_87
| spl0_92
| spl0_97 ),
inference(split_clause,[status(thm)],[f79,f707,f723,f739,f755,f771]) ).
fof(f914,plain,
( spl0_18
| spl0_43
| spl0_68
| spl0_93
| spl0_118 ),
inference(split_clause,[status(thm)],[f82,f518,f598,f678,f758,f838]) ).
fof(f915,plain,
( spl0_79
| spl0_84
| spl0_89
| spl0_94
| spl0_99 ),
inference(split_clause,[status(thm)],[f83,f713,f729,f745,f761,f777]) ).
fof(f920,plain,
( spl0_21
| spl0_46
| spl0_71
| spl0_96
| spl0_121 ),
inference(split_clause,[status(thm)],[f88,f528,f608,f688,f768,f848]) ).
fof(f921,plain,
( spl0_102
| spl0_107
| spl0_112
| spl0_117
| spl0_122 ),
inference(split_clause,[status(thm)],[f89,f787,f803,f819,f835,f851]) ).
fof(f922,plain,
( spl0_22
| spl0_47
| spl0_72
| spl0_97
| spl0_122 ),
inference(split_clause,[status(thm)],[f90,f531,f611,f691,f771,f851]) ).
fof(f923,plain,
( spl0_103
| spl0_108
| spl0_113
| spl0_118
| spl0_123 ),
inference(split_clause,[status(thm)],[f91,f790,f806,f822,f838,f854]) ).
fof(f927,plain,
( spl0_130
<=> pd0_0 ),
introduced(split_symbol_definition) ).
fof(f930,plain,
( spl0_131
<=> op(e4,op(e4,e0)) = e0 ),
introduced(split_symbol_definition) ).
fof(f932,plain,
( op(e4,op(e4,e0)) != e0
| spl0_131 ),
inference(component_clause,[status(thm)],[f930]) ).
fof(f933,plain,
( spl0_130
| ~ spl0_131 ),
inference(split_clause,[status(thm)],[f216,f927,f930]) ).
fof(f934,plain,
( spl0_132
<=> op(e0,op(e4,e0)) = e4 ),
introduced(split_symbol_definition) ).
fof(f935,plain,
( op(e0,op(e4,e0)) = e4
| ~ spl0_132 ),
inference(component_clause,[status(thm)],[f934]) ).
fof(f937,plain,
( spl0_130
| spl0_132 ),
inference(split_clause,[status(thm)],[f217,f927,f934]) ).
fof(f938,plain,
( spl0_133
<=> pd0_1 ),
introduced(split_symbol_definition) ).
fof(f945,plain,
( spl0_135
<=> op(e1,op(e4,e1)) = e4 ),
introduced(split_symbol_definition) ).
fof(f946,plain,
( op(e1,op(e4,e1)) = e4
| ~ spl0_135 ),
inference(component_clause,[status(thm)],[f945]) ).
fof(f948,plain,
( spl0_133
| spl0_135 ),
inference(split_clause,[status(thm)],[f219,f938,f945]) ).
fof(f949,plain,
( spl0_136
<=> pd0_2 ),
introduced(split_symbol_definition) ).
fof(f956,plain,
( spl0_138
<=> op(e2,op(e4,e2)) = e4 ),
introduced(split_symbol_definition) ).
fof(f957,plain,
( op(e2,op(e4,e2)) = e4
| ~ spl0_138 ),
inference(component_clause,[status(thm)],[f956]) ).
fof(f959,plain,
( spl0_136
| spl0_138 ),
inference(split_clause,[status(thm)],[f221,f949,f956]) ).
fof(f960,plain,
( spl0_139
<=> pd0_3 ),
introduced(split_symbol_definition) ).
fof(f967,plain,
( spl0_141
<=> op(e3,op(e4,e3)) = e4 ),
introduced(split_symbol_definition) ).
fof(f968,plain,
( op(e3,op(e4,e3)) = e4
| ~ spl0_141 ),
inference(component_clause,[status(thm)],[f967]) ).
fof(f970,plain,
( spl0_139
| spl0_141 ),
inference(split_clause,[status(thm)],[f223,f960,f967]) ).
fof(f971,plain,
( spl0_142
<=> pd0_4 ),
introduced(split_symbol_definition) ).
fof(f974,plain,
( spl0_143
<=> op(e4,op(e4,e4)) = e4 ),
introduced(split_symbol_definition) ).
fof(f976,plain,
( op(e4,op(e4,e4)) != e4
| spl0_143 ),
inference(component_clause,[status(thm)],[f974]) ).
fof(f977,plain,
( spl0_142
| ~ spl0_143 ),
inference(split_clause,[status(thm)],[f224,f971,f974]) ).
fof(f978,plain,
( spl0_142
| spl0_143 ),
inference(split_clause,[status(thm)],[f225,f971,f974]) ).
fof(f979,plain,
( spl0_144
<=> pd0_5 ),
introduced(split_symbol_definition) ).
fof(f982,plain,
( spl0_145
<=> op(e4,e4) = op(e4,e4) ),
introduced(split_symbol_definition) ).
fof(f984,plain,
( op(e4,e4) != op(e4,e4)
| spl0_145 ),
inference(component_clause,[status(thm)],[f982]) ).
fof(f985,plain,
( spl0_144
| ~ spl0_145 ),
inference(split_clause,[status(thm)],[f226,f979,f982]) ).
fof(f991,plain,
( spl0_147
<=> pd0_6 ),
introduced(split_symbol_definition) ).
fof(f994,plain,
( spl0_148
<=> op(e3,op(e3,e0)) = e0 ),
introduced(split_symbol_definition) ).
fof(f996,plain,
( op(e3,op(e3,e0)) != e0
| spl0_148 ),
inference(component_clause,[status(thm)],[f994]) ).
fof(f997,plain,
( ~ spl0_130
| spl0_147
| ~ spl0_148 ),
inference(split_clause,[status(thm)],[f232,f927,f991,f994]) ).
fof(f1002,plain,
( spl0_150
<=> pd0_7 ),
introduced(split_symbol_definition) ).
fof(f1005,plain,
( spl0_151
<=> op(e3,op(e3,e1)) = e1 ),
introduced(split_symbol_definition) ).
fof(f1007,plain,
( op(e3,op(e3,e1)) != e1
| spl0_151 ),
inference(component_clause,[status(thm)],[f1005]) ).
fof(f1008,plain,
( ~ spl0_133
| spl0_150
| ~ spl0_151 ),
inference(split_clause,[status(thm)],[f237,f938,f1002,f1005]) ).
fof(f1013,plain,
( spl0_153
<=> pd0_8 ),
introduced(split_symbol_definition) ).
fof(f1020,plain,
( spl0_155
<=> op(e2,op(e3,e2)) = e3 ),
introduced(split_symbol_definition) ).
fof(f1021,plain,
( op(e2,op(e3,e2)) = e3
| ~ spl0_155 ),
inference(component_clause,[status(thm)],[f1020]) ).
fof(f1023,plain,
( ~ spl0_136
| spl0_153
| spl0_155 ),
inference(split_clause,[status(thm)],[f243,f949,f1013,f1020]) ).
fof(f1032,plain,
( spl0_158
<=> pd0_10 ),
introduced(split_symbol_definition) ).
fof(f1039,plain,
( spl0_160
<=> op(e4,op(e3,e4)) = e3 ),
introduced(split_symbol_definition) ).
fof(f1040,plain,
( op(e4,op(e3,e4)) = e3
| ~ spl0_160 ),
inference(component_clause,[status(thm)],[f1039]) ).
fof(f1041,plain,
( op(e4,op(e3,e4)) != e3
| spl0_160 ),
inference(component_clause,[status(thm)],[f1039]) ).
fof(f1042,plain,
( ~ spl0_142
| spl0_158
| spl0_160 ),
inference(split_clause,[status(thm)],[f253,f971,f1032,f1039]) ).
fof(f1043,plain,
( spl0_161
<=> pd0_11 ),
introduced(split_symbol_definition) ).
fof(f1046,plain,
( spl0_162
<=> op(e3,e4) = op(e4,e3) ),
introduced(split_symbol_definition) ).
fof(f1047,plain,
( op(e3,e4) = op(e4,e3)
| ~ spl0_162 ),
inference(component_clause,[status(thm)],[f1046]) ).
fof(f1048,plain,
( op(e3,e4) != op(e4,e3)
| spl0_162 ),
inference(component_clause,[status(thm)],[f1046]) ).
fof(f1049,plain,
( ~ spl0_144
| spl0_161
| ~ spl0_162 ),
inference(split_clause,[status(thm)],[f257,f979,f1043,f1046]) ).
fof(f1054,plain,
( spl0_164
<=> op(op(e4,e3),e4) = e3 ),
introduced(split_symbol_definition) ).
fof(f1056,plain,
( op(op(e4,e3),e4) != e3
| spl0_164 ),
inference(component_clause,[status(thm)],[f1054]) ).
fof(f1057,plain,
( ~ spl0_144
| spl0_161
| ~ spl0_164 ),
inference(split_clause,[status(thm)],[f259,f979,f1043,f1054]) ).
fof(f1058,plain,
( spl0_165
<=> pd0_12 ),
introduced(split_symbol_definition) ).
fof(f1065,plain,
( spl0_167
<=> op(e0,op(e2,e0)) = e2 ),
introduced(split_symbol_definition) ).
fof(f1066,plain,
( op(e0,op(e2,e0)) = e2
| ~ spl0_167 ),
inference(component_clause,[status(thm)],[f1065]) ).
fof(f1067,plain,
( op(e0,op(e2,e0)) != e2
| spl0_167 ),
inference(component_clause,[status(thm)],[f1065]) ).
fof(f1068,plain,
( ~ spl0_147
| spl0_165
| spl0_167 ),
inference(split_clause,[status(thm)],[f264,f991,f1058,f1065]) ).
fof(f1069,plain,
( spl0_168
<=> pd0_13 ),
introduced(split_symbol_definition) ).
fof(f1076,plain,
( spl0_170
<=> op(e1,op(e2,e1)) = e2 ),
introduced(split_symbol_definition) ).
fof(f1077,plain,
( op(e1,op(e2,e1)) = e2
| ~ spl0_170 ),
inference(component_clause,[status(thm)],[f1076]) ).
fof(f1079,plain,
( ~ spl0_150
| spl0_168
| spl0_170 ),
inference(split_clause,[status(thm)],[f269,f1002,f1069,f1076]) ).
fof(f1088,plain,
( spl0_173
<=> pd0_15 ),
introduced(split_symbol_definition) ).
fof(f1099,plain,
( spl0_176
<=> pd0_16 ),
introduced(split_symbol_definition) ).
fof(f1106,plain,
( spl0_178
<=> op(e4,op(e2,e4)) = e2 ),
introduced(split_symbol_definition) ).
fof(f1107,plain,
( op(e4,op(e2,e4)) = e2
| ~ spl0_178 ),
inference(component_clause,[status(thm)],[f1106]) ).
fof(f1109,plain,
( ~ spl0_158
| spl0_176
| spl0_178 ),
inference(split_clause,[status(thm)],[f284,f1032,f1099,f1106]) ).
fof(f1110,plain,
( spl0_179
<=> pd0_17 ),
introduced(split_symbol_definition) ).
fof(f1113,plain,
( spl0_180
<=> op(e2,e4) = op(e4,e2) ),
introduced(split_symbol_definition) ).
fof(f1114,plain,
( op(e2,e4) = op(e4,e2)
| ~ spl0_180 ),
inference(component_clause,[status(thm)],[f1113]) ).
fof(f1115,plain,
( op(e2,e4) != op(e4,e2)
| spl0_180 ),
inference(component_clause,[status(thm)],[f1113]) ).
fof(f1116,plain,
( ~ spl0_161
| spl0_179
| ~ spl0_180 ),
inference(split_clause,[status(thm)],[f288,f1043,f1110,f1113]) ).
fof(f1117,plain,
( spl0_181
<=> op(op(e4,e2),e2) = e4 ),
introduced(split_symbol_definition) ).
fof(f1118,plain,
( op(op(e4,e2),e2) = e4
| ~ spl0_181 ),
inference(component_clause,[status(thm)],[f1117]) ).
fof(f1120,plain,
( ~ spl0_161
| spl0_179
| spl0_181 ),
inference(split_clause,[status(thm)],[f289,f1043,f1110,f1117]) ).
fof(f1121,plain,
( spl0_182
<=> op(op(e4,e2),e4) = e2 ),
introduced(split_symbol_definition) ).
fof(f1122,plain,
( op(op(e4,e2),e4) = e2
| ~ spl0_182 ),
inference(component_clause,[status(thm)],[f1121]) ).
fof(f1123,plain,
( op(op(e4,e2),e4) != e2
| spl0_182 ),
inference(component_clause,[status(thm)],[f1121]) ).
fof(f1125,plain,
( spl0_183
<=> pd0_18 ),
introduced(split_symbol_definition) ).
fof(f1132,plain,
( spl0_185
<=> op(e0,op(e1,e0)) = e1 ),
introduced(split_symbol_definition) ).
fof(f1133,plain,
( op(e0,op(e1,e0)) = e1
| ~ spl0_185 ),
inference(component_clause,[status(thm)],[f1132]) ).
fof(f1134,plain,
( op(e0,op(e1,e0)) != e1
| spl0_185 ),
inference(component_clause,[status(thm)],[f1132]) ).
fof(f1135,plain,
( ~ spl0_165
| spl0_183
| spl0_185 ),
inference(split_clause,[status(thm)],[f295,f1058,f1125,f1132]) ).
fof(f1136,plain,
( spl0_186
<=> pd0_19 ),
introduced(split_symbol_definition) ).
fof(f1139,plain,
( spl0_187
<=> op(e1,op(e1,e1)) = e1 ),
introduced(split_symbol_definition) ).
fof(f1142,plain,
( ~ spl0_168
| spl0_186
| ~ spl0_187 ),
inference(split_clause,[status(thm)],[f299,f1069,f1136,f1139]) ).
fof(f1143,plain,
( ~ spl0_168
| spl0_186
| spl0_187 ),
inference(split_clause,[status(thm)],[f300,f1069,f1136,f1139]) ).
fof(f1144,plain,
( spl0_188
<=> pd0_20 ),
introduced(split_symbol_definition) ).
fof(f1155,plain,
( spl0_191
<=> pd0_21 ),
introduced(split_symbol_definition) ).
fof(f1162,plain,
( spl0_193
<=> op(e3,op(e1,e3)) = e1 ),
introduced(split_symbol_definition) ).
fof(f1163,plain,
( op(e3,op(e1,e3)) = e1
| ~ spl0_193 ),
inference(component_clause,[status(thm)],[f1162]) ).
fof(f1165,plain,
( ~ spl0_173
| spl0_191
| spl0_193 ),
inference(split_clause,[status(thm)],[f310,f1088,f1155,f1162]) ).
fof(f1166,plain,
( spl0_194
<=> pd0_22 ),
introduced(split_symbol_definition) ).
fof(f1169,plain,
( spl0_195
<=> op(e1,op(e1,e4)) = e4 ),
introduced(split_symbol_definition) ).
fof(f1171,plain,
( op(e1,op(e1,e4)) != e4
| spl0_195 ),
inference(component_clause,[status(thm)],[f1169]) ).
fof(f1172,plain,
( ~ spl0_176
| spl0_194
| ~ spl0_195 ),
inference(split_clause,[status(thm)],[f314,f1099,f1166,f1169]) ).
fof(f1173,plain,
( spl0_196
<=> op(e4,op(e1,e4)) = e1 ),
introduced(split_symbol_definition) ).
fof(f1174,plain,
( op(e4,op(e1,e4)) = e1
| ~ spl0_196 ),
inference(component_clause,[status(thm)],[f1173]) ).
fof(f1175,plain,
( op(e4,op(e1,e4)) != e1
| spl0_196 ),
inference(component_clause,[status(thm)],[f1173]) ).
fof(f1177,plain,
( spl0_197
<=> pd0_23 ),
introduced(split_symbol_definition) ).
fof(f1180,plain,
( spl0_198
<=> op(e1,e4) = op(e4,e1) ),
introduced(split_symbol_definition) ).
fof(f1182,plain,
( op(e1,e4) != op(e4,e1)
| spl0_198 ),
inference(component_clause,[status(thm)],[f1180]) ).
fof(f1183,plain,
( ~ spl0_179
| spl0_197
| ~ spl0_198 ),
inference(split_clause,[status(thm)],[f319,f1110,f1177,f1180]) ).
fof(f1188,plain,
( spl0_200
<=> op(op(e4,e1),e4) = e1 ),
introduced(split_symbol_definition) ).
fof(f1189,plain,
( op(op(e4,e1),e4) = e1
| ~ spl0_200 ),
inference(component_clause,[status(thm)],[f1188]) ).
fof(f1190,plain,
( op(op(e4,e1),e4) != e1
| spl0_200 ),
inference(component_clause,[status(thm)],[f1188]) ).
fof(f1191,plain,
( ~ spl0_179
| spl0_197
| ~ spl0_200 ),
inference(split_clause,[status(thm)],[f321,f1110,f1177,f1188]) ).
fof(f1192,plain,
( spl0_201
<=> op(e0,op(e0,e0)) = e0 ),
introduced(split_symbol_definition) ).
fof(f1195,plain,
( ~ spl0_183
| ~ spl0_201 ),
inference(split_clause,[status(thm)],[f323,f1125,f1192]) ).
fof(f1196,plain,
( ~ spl0_183
| spl0_201 ),
inference(split_clause,[status(thm)],[f324,f1125,f1192]) ).
fof(f1197,plain,
( spl0_202
<=> op(e0,op(e0,e1)) = e1 ),
introduced(split_symbol_definition) ).
fof(f1198,plain,
( op(e0,op(e0,e1)) = e1
| ~ spl0_202 ),
inference(component_clause,[status(thm)],[f1197]) ).
fof(f1199,plain,
( op(e0,op(e0,e1)) != e1
| spl0_202 ),
inference(component_clause,[status(thm)],[f1197]) ).
fof(f1200,plain,
( ~ spl0_186
| ~ spl0_202 ),
inference(split_clause,[status(thm)],[f326,f1136,f1197]) ).
fof(f1209,plain,
( spl0_205
<=> op(e2,op(e0,e2)) = e0 ),
introduced(split_symbol_definition) ).
fof(f1210,plain,
( op(e2,op(e0,e2)) = e0
| ~ spl0_205 ),
inference(component_clause,[status(thm)],[f1209]) ).
fof(f1211,plain,
( op(e2,op(e0,e2)) != e0
| spl0_205 ),
inference(component_clause,[status(thm)],[f1209]) ).
fof(f1212,plain,
( ~ spl0_188
| spl0_205 ),
inference(split_clause,[status(thm)],[f330,f1144,f1209]) ).
fof(f1213,plain,
( spl0_206
<=> op(e0,op(e0,e3)) = e3 ),
introduced(split_symbol_definition) ).
fof(f1214,plain,
( op(e0,op(e0,e3)) = e3
| ~ spl0_206 ),
inference(component_clause,[status(thm)],[f1213]) ).
fof(f1215,plain,
( op(e0,op(e0,e3)) != e3
| spl0_206 ),
inference(component_clause,[status(thm)],[f1213]) ).
fof(f1216,plain,
( ~ spl0_191
| ~ spl0_206 ),
inference(split_clause,[status(thm)],[f332,f1155,f1213]) ).
fof(f1221,plain,
( spl0_208
<=> op(e0,op(e0,e4)) = e4 ),
introduced(split_symbol_definition) ).
fof(f1222,plain,
( op(e0,op(e0,e4)) = e4
| ~ spl0_208 ),
inference(component_clause,[status(thm)],[f1221]) ).
fof(f1223,plain,
( op(e0,op(e0,e4)) != e4
| spl0_208 ),
inference(component_clause,[status(thm)],[f1221]) ).
fof(f1224,plain,
( ~ spl0_194
| ~ spl0_208 ),
inference(split_clause,[status(thm)],[f335,f1166,f1221]) ).
fof(f1225,plain,
( spl0_209
<=> op(e4,op(e0,e4)) = e0 ),
introduced(split_symbol_definition) ).
fof(f1226,plain,
( op(e4,op(e0,e4)) = e0
| ~ spl0_209 ),
inference(component_clause,[status(thm)],[f1225]) ).
fof(f1227,plain,
( op(e4,op(e0,e4)) != e0
| spl0_209 ),
inference(component_clause,[status(thm)],[f1225]) ).
fof(f1228,plain,
( ~ spl0_194
| spl0_209 ),
inference(split_clause,[status(thm)],[f336,f1166,f1225]) ).
fof(f1229,plain,
( spl0_210
<=> pd0_24 ),
introduced(split_symbol_definition) ).
fof(f1232,plain,
( spl0_211
<=> op(e0,e4) = op(e4,e0) ),
introduced(split_symbol_definition) ).
fof(f1234,plain,
( op(e0,e4) != op(e4,e0)
| spl0_211 ),
inference(component_clause,[status(thm)],[f1232]) ).
fof(f1235,plain,
( ~ spl0_197
| spl0_210
| ~ spl0_211 ),
inference(split_clause,[status(thm)],[f340,f1177,f1229,f1232]) ).
fof(f1240,plain,
( spl0_213
<=> op(op(e4,e0),e4) = e0 ),
introduced(split_symbol_definition) ).
fof(f1242,plain,
( op(op(e4,e0),e4) != e0
| spl0_213 ),
inference(component_clause,[status(thm)],[f1240]) ).
fof(f1243,plain,
( ~ spl0_197
| spl0_210
| ~ spl0_213 ),
inference(split_clause,[status(thm)],[f342,f1177,f1229,f1240]) ).
fof(f1244,plain,
( spl0_214
<=> pd0_25 ),
introduced(split_symbol_definition) ).
fof(f1248,plain,
( spl0_215
<=> op(op(e3,e4),e4) = e3 ),
introduced(split_symbol_definition) ).
fof(f1249,plain,
( op(op(e3,e4),e4) = e3
| ~ spl0_215 ),
inference(component_clause,[status(thm)],[f1248]) ).
fof(f1251,plain,
( ~ spl0_210
| spl0_214
| spl0_215 ),
inference(split_clause,[status(thm)],[f347,f1229,f1244,f1248]) ).
fof(f1256,plain,
( spl0_217
<=> pd0_26 ),
introduced(split_symbol_definition) ).
fof(f1259,plain,
( spl0_218
<=> op(e3,e3) = op(e3,e3) ),
introduced(split_symbol_definition) ).
fof(f1261,plain,
( op(e3,e3) != op(e3,e3)
| spl0_218 ),
inference(component_clause,[status(thm)],[f1259]) ).
fof(f1262,plain,
( ~ spl0_214
| spl0_217
| ~ spl0_218 ),
inference(split_clause,[status(thm)],[f352,f1244,f1256,f1259]) ).
fof(f1268,plain,
( spl0_220
<=> pd0_27 ),
introduced(split_symbol_definition) ).
fof(f1271,plain,
( spl0_221
<=> op(e2,e3) = op(e3,e2) ),
introduced(split_symbol_definition) ).
fof(f1273,plain,
( op(e2,e3) != op(e3,e2)
| spl0_221 ),
inference(component_clause,[status(thm)],[f1271]) ).
fof(f1274,plain,
( ~ spl0_217
| spl0_220
| ~ spl0_221 ),
inference(split_clause,[status(thm)],[f358,f1256,f1268,f1271]) ).
fof(f1275,plain,
( spl0_222
<=> op(op(e3,e2),e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f1276,plain,
( op(op(e3,e2),e2) = e3
| ~ spl0_222 ),
inference(component_clause,[status(thm)],[f1275]) ).
fof(f1278,plain,
( ~ spl0_217
| spl0_220
| spl0_222 ),
inference(split_clause,[status(thm)],[f359,f1256,f1268,f1275]) ).
fof(f1283,plain,
( spl0_224
<=> pd0_28 ),
introduced(split_symbol_definition) ).
fof(f1286,plain,
( spl0_225
<=> op(e1,e3) = op(e3,e1) ),
introduced(split_symbol_definition) ).
fof(f1287,plain,
( op(e1,e3) = op(e3,e1)
| ~ spl0_225 ),
inference(component_clause,[status(thm)],[f1286]) ).
fof(f1288,plain,
( op(e1,e3) != op(e3,e1)
| spl0_225 ),
inference(component_clause,[status(thm)],[f1286]) ).
fof(f1289,plain,
( ~ spl0_220
| spl0_224
| ~ spl0_225 ),
inference(split_clause,[status(thm)],[f364,f1268,f1283,f1286]) ).
fof(f1294,plain,
( spl0_227
<=> op(op(e3,e1),e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f1296,plain,
( op(op(e3,e1),e3) != e1
| spl0_227 ),
inference(component_clause,[status(thm)],[f1294]) ).
fof(f1297,plain,
( ~ spl0_220
| spl0_224
| ~ spl0_227 ),
inference(split_clause,[status(thm)],[f366,f1268,f1283,f1294]) ).
fof(f1298,plain,
( spl0_228
<=> pd0_29 ),
introduced(split_symbol_definition) ).
fof(f1301,plain,
( spl0_229
<=> op(e0,e3) = op(e3,e0) ),
introduced(split_symbol_definition) ).
fof(f1302,plain,
( op(e0,e3) = op(e3,e0)
| ~ spl0_229 ),
inference(component_clause,[status(thm)],[f1301]) ).
fof(f1303,plain,
( op(e0,e3) != op(e3,e0)
| spl0_229 ),
inference(component_clause,[status(thm)],[f1301]) ).
fof(f1304,plain,
( ~ spl0_224
| spl0_228
| ~ spl0_229 ),
inference(split_clause,[status(thm)],[f370,f1283,f1298,f1301]) ).
fof(f1313,plain,
( spl0_232
<=> pd0_30 ),
introduced(split_symbol_definition) ).
fof(f1316,plain,
( ~ spl0_228
| spl0_232
| ~ spl0_180 ),
inference(split_clause,[status(thm)],[f376,f1298,f1313,f1113]) ).
fof(f1317,plain,
( spl0_233
<=> op(op(e2,e4),e4) = e2 ),
introduced(split_symbol_definition) ).
fof(f1318,plain,
( op(op(e2,e4),e4) = e2
| ~ spl0_233 ),
inference(component_clause,[status(thm)],[f1317]) ).
fof(f1320,plain,
( ~ spl0_228
| spl0_232
| spl0_233 ),
inference(split_clause,[status(thm)],[f377,f1298,f1313,f1317]) ).
fof(f1325,plain,
( spl0_235
<=> pd0_31 ),
introduced(split_symbol_definition) ).
fof(f1328,plain,
( ~ spl0_232
| spl0_235
| ~ spl0_221 ),
inference(split_clause,[status(thm)],[f382,f1313,f1325,f1271]) ).
fof(f1329,plain,
( spl0_236
<=> op(op(e2,e3),e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f1330,plain,
( op(op(e2,e3),e3) = e2
| ~ spl0_236 ),
inference(component_clause,[status(thm)],[f1329]) ).
fof(f1332,plain,
( ~ spl0_232
| spl0_235
| spl0_236 ),
inference(split_clause,[status(thm)],[f383,f1313,f1325,f1329]) ).
fof(f1337,plain,
( spl0_238
<=> pd0_32 ),
introduced(split_symbol_definition) ).
fof(f1340,plain,
( spl0_239
<=> op(e2,e2) = op(e2,e2) ),
introduced(split_symbol_definition) ).
fof(f1342,plain,
( op(e2,e2) != op(e2,e2)
| spl0_239 ),
inference(component_clause,[status(thm)],[f1340]) ).
fof(f1343,plain,
( ~ spl0_235
| spl0_238
| ~ spl0_239 ),
inference(split_clause,[status(thm)],[f388,f1325,f1337,f1340]) ).
fof(f1349,plain,
( spl0_241
<=> pd0_33 ),
introduced(split_symbol_definition) ).
fof(f1352,plain,
( spl0_242
<=> op(e1,e2) = op(e2,e1) ),
introduced(split_symbol_definition) ).
fof(f1354,plain,
( op(e1,e2) != op(e2,e1)
| spl0_242 ),
inference(component_clause,[status(thm)],[f1352]) ).
fof(f1355,plain,
( ~ spl0_238
| spl0_241
| ~ spl0_242 ),
inference(split_clause,[status(thm)],[f394,f1337,f1349,f1352]) ).
fof(f1356,plain,
( spl0_243
<=> op(op(e2,e1),e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f1357,plain,
( op(op(e2,e1),e1) = e2
| ~ spl0_243 ),
inference(component_clause,[status(thm)],[f1356]) ).
fof(f1358,plain,
( op(op(e2,e1),e1) != e2
| spl0_243 ),
inference(component_clause,[status(thm)],[f1356]) ).
fof(f1359,plain,
( ~ spl0_238
| spl0_241
| spl0_243 ),
inference(split_clause,[status(thm)],[f395,f1337,f1349,f1356]) ).
fof(f1360,plain,
( spl0_244
<=> op(op(e2,e1),e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f1363,plain,
( ~ spl0_238
| spl0_241
| ~ spl0_244 ),
inference(split_clause,[status(thm)],[f396,f1337,f1349,f1360]) ).
fof(f1364,plain,
( spl0_245
<=> pd0_34 ),
introduced(split_symbol_definition) ).
fof(f1367,plain,
( spl0_246
<=> op(e0,e2) = op(e2,e0) ),
introduced(split_symbol_definition) ).
fof(f1369,plain,
( op(e0,e2) != op(e2,e0)
| spl0_246 ),
inference(component_clause,[status(thm)],[f1367]) ).
fof(f1370,plain,
( ~ spl0_241
| spl0_245
| ~ spl0_246 ),
inference(split_clause,[status(thm)],[f400,f1349,f1364,f1367]) ).
fof(f1371,plain,
( spl0_247
<=> op(op(e2,e0),e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f1372,plain,
( op(op(e2,e0),e0) = e2
| ~ spl0_247 ),
inference(component_clause,[status(thm)],[f1371]) ).
fof(f1373,plain,
( op(op(e2,e0),e0) != e2
| spl0_247 ),
inference(component_clause,[status(thm)],[f1371]) ).
fof(f1379,plain,
( spl0_249
<=> pd0_35 ),
introduced(split_symbol_definition) ).
fof(f1382,plain,
( ~ spl0_245
| spl0_249
| ~ spl0_198 ),
inference(split_clause,[status(thm)],[f406,f1364,f1379,f1180]) ).
fof(f1383,plain,
( spl0_250
<=> op(op(e1,e4),e4) = e1 ),
introduced(split_symbol_definition) ).
fof(f1384,plain,
( op(op(e1,e4),e4) = e1
| ~ spl0_250 ),
inference(component_clause,[status(thm)],[f1383]) ).
fof(f1386,plain,
( ~ spl0_245
| spl0_249
| spl0_250 ),
inference(split_clause,[status(thm)],[f407,f1364,f1379,f1383]) ).
fof(f1391,plain,
( spl0_252
<=> pd0_36 ),
introduced(split_symbol_definition) ).
fof(f1394,plain,
( ~ spl0_249
| spl0_252
| ~ spl0_225 ),
inference(split_clause,[status(thm)],[f412,f1379,f1391,f1286]) ).
fof(f1395,plain,
( spl0_253
<=> op(op(e1,e3),e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f1396,plain,
( op(op(e1,e3),e3) = e1
| ~ spl0_253 ),
inference(component_clause,[status(thm)],[f1395]) ).
fof(f1398,plain,
( ~ spl0_249
| spl0_252
| spl0_253 ),
inference(split_clause,[status(thm)],[f413,f1379,f1391,f1395]) ).
fof(f1403,plain,
( spl0_255
<=> pd0_37 ),
introduced(split_symbol_definition) ).
fof(f1406,plain,
( ~ spl0_252
| spl0_255
| ~ spl0_242 ),
inference(split_clause,[status(thm)],[f418,f1391,f1403,f1352]) ).
fof(f1407,plain,
( spl0_256
<=> op(op(e1,e2),e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f1410,plain,
( ~ spl0_252
| spl0_255
| spl0_256 ),
inference(split_clause,[status(thm)],[f419,f1391,f1403,f1407]) ).
fof(f1411,plain,
( spl0_257
<=> op(op(e1,e2),e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f1413,plain,
( op(op(e1,e2),e1) != e2
| spl0_257 ),
inference(component_clause,[status(thm)],[f1411]) ).
fof(f1414,plain,
( ~ spl0_252
| spl0_255
| ~ spl0_257 ),
inference(split_clause,[status(thm)],[f420,f1391,f1403,f1411]) ).
fof(f1415,plain,
( spl0_258
<=> pd0_38 ),
introduced(split_symbol_definition) ).
fof(f1418,plain,
( spl0_259
<=> op(e1,e1) = op(e1,e1) ),
introduced(split_symbol_definition) ).
fof(f1420,plain,
( op(e1,e1) != op(e1,e1)
| spl0_259 ),
inference(component_clause,[status(thm)],[f1418]) ).
fof(f1421,plain,
( ~ spl0_255
| spl0_258
| ~ spl0_259 ),
inference(split_clause,[status(thm)],[f424,f1403,f1415,f1418]) ).
fof(f1427,plain,
( spl0_261
<=> pd0_39 ),
introduced(split_symbol_definition) ).
fof(f1430,plain,
( spl0_262
<=> op(e0,e1) = op(e1,e0) ),
introduced(split_symbol_definition) ).
fof(f1431,plain,
( op(e0,e1) = op(e1,e0)
| ~ spl0_262 ),
inference(component_clause,[status(thm)],[f1430]) ).
fof(f1432,plain,
( op(e0,e1) != op(e1,e0)
| spl0_262 ),
inference(component_clause,[status(thm)],[f1430]) ).
fof(f1433,plain,
( ~ spl0_258
| spl0_261
| ~ spl0_262 ),
inference(split_clause,[status(thm)],[f430,f1415,f1427,f1430]) ).
fof(f1442,plain,
( spl0_265
<=> pd0_40 ),
introduced(split_symbol_definition) ).
fof(f1445,plain,
( ~ spl0_261
| spl0_265
| ~ spl0_211 ),
inference(split_clause,[status(thm)],[f436,f1427,f1442,f1232]) ).
fof(f1446,plain,
( spl0_266
<=> op(op(e0,e4),e4) = e0 ),
introduced(split_symbol_definition) ).
fof(f1447,plain,
( op(op(e0,e4),e4) = e0
| ~ spl0_266 ),
inference(component_clause,[status(thm)],[f1446]) ).
fof(f1449,plain,
( ~ spl0_261
| spl0_265
| spl0_266 ),
inference(split_clause,[status(thm)],[f437,f1427,f1442,f1446]) ).
fof(f1454,plain,
( spl0_268
<=> pd0_41 ),
introduced(split_symbol_definition) ).
fof(f1457,plain,
( ~ spl0_265
| spl0_268
| ~ spl0_229 ),
inference(split_clause,[status(thm)],[f442,f1442,f1454,f1301]) ).
fof(f1462,plain,
( spl0_270
<=> op(op(e0,e3),e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f1463,plain,
( op(op(e0,e3),e0) = e3
| ~ spl0_270 ),
inference(component_clause,[status(thm)],[f1462]) ).
fof(f1464,plain,
( op(op(e0,e3),e0) != e3
| spl0_270 ),
inference(component_clause,[status(thm)],[f1462]) ).
fof(f1466,plain,
( spl0_271
<=> pd0_42 ),
introduced(split_symbol_definition) ).
fof(f1469,plain,
( ~ spl0_268
| spl0_271
| ~ spl0_246 ),
inference(split_clause,[status(thm)],[f448,f1454,f1466,f1367]) ).
fof(f1470,plain,
( spl0_272
<=> op(op(e0,e2),e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f1471,plain,
( op(op(e0,e2),e2) = e0
| ~ spl0_272 ),
inference(component_clause,[status(thm)],[f1470]) ).
fof(f1473,plain,
( ~ spl0_268
| spl0_271
| spl0_272 ),
inference(split_clause,[status(thm)],[f449,f1454,f1466,f1470]) ).
fof(f1478,plain,
( spl0_274
<=> pd0_43 ),
introduced(split_symbol_definition) ).
fof(f1481,plain,
( ~ spl0_271
| spl0_274
| ~ spl0_262 ),
inference(split_clause,[status(thm)],[f454,f1466,f1478,f1430]) ).
fof(f1486,plain,
( spl0_276
<=> op(op(e0,e1),e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f1487,plain,
( op(op(e0,e1),e0) = e1
| ~ spl0_276 ),
inference(component_clause,[status(thm)],[f1486]) ).
fof(f1488,plain,
( op(op(e0,e1),e0) != e1
| spl0_276 ),
inference(component_clause,[status(thm)],[f1486]) ).
fof(f1489,plain,
( ~ spl0_271
| spl0_274
| ~ spl0_276 ),
inference(split_clause,[status(thm)],[f456,f1466,f1478,f1486]) ).
fof(f1490,plain,
( spl0_277
<=> op(e0,e0) = op(e0,e0) ),
introduced(split_symbol_definition) ).
fof(f1492,plain,
( op(e0,e0) != op(e0,e0)
| spl0_277 ),
inference(component_clause,[status(thm)],[f1490]) ).
fof(f1493,plain,
( ~ spl0_274
| ~ spl0_277 ),
inference(split_clause,[status(thm)],[f458,f1478,f1490]) ).
fof(f1499,plain,
( $false
| spl0_277 ),
inference(trivial_equality_resolution,[status(esa)],[f1492]) ).
fof(f1500,plain,
spl0_277,
inference(contradiction_clause,[status(thm)],[f1499]) ).
fof(f1501,plain,
( $false
| spl0_259 ),
inference(trivial_equality_resolution,[status(esa)],[f1420]) ).
fof(f1502,plain,
spl0_259,
inference(contradiction_clause,[status(thm)],[f1501]) ).
fof(f1503,plain,
( e4 != op(e2,e2)
| spl0_239 ),
inference(forward_demodulation,[status(thm)],[f208,f1342]) ).
fof(f1504,plain,
( e4 != e4
| spl0_239 ),
inference(forward_demodulation,[status(thm)],[f208,f1503]) ).
fof(f1505,plain,
( $false
| spl0_239 ),
inference(trivial_equality_resolution,[status(esa)],[f1504]) ).
fof(f1506,plain,
spl0_239,
inference(contradiction_clause,[status(thm)],[f1505]) ).
fof(f1507,plain,
( $false
| spl0_218 ),
inference(trivial_equality_resolution,[status(esa)],[f1261]) ).
fof(f1508,plain,
spl0_218,
inference(contradiction_clause,[status(thm)],[f1507]) ).
fof(f1509,plain,
( $false
| spl0_145 ),
inference(trivial_equality_resolution,[status(esa)],[f984]) ).
fof(f1510,plain,
spl0_145,
inference(contradiction_clause,[status(thm)],[f1509]) ).
fof(f1523,plain,
( e4 = e3
| ~ spl0_24
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f538,f535]) ).
fof(f1524,plain,
( $false
| ~ spl0_24
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[status(thm)],[f1523,f204]) ).
fof(f1525,plain,
( ~ spl0_24
| ~ spl0_23 ),
inference(contradiction_clause,[status(thm)],[f1524]) ).
fof(f1532,plain,
( e4 = e3
| ~ spl0_109
| ~ spl0_108 ),
inference(forward_demodulation,[status(thm)],[f810,f807]) ).
fof(f1533,plain,
( $false
| ~ spl0_109
| ~ spl0_108 ),
inference(forward_subsumption_resolution,[status(thm)],[f1532,f204]) ).
fof(f1534,plain,
( ~ spl0_109
| ~ spl0_108 ),
inference(contradiction_clause,[status(thm)],[f1533]) ).
fof(f1535,plain,
( e4 = e3
| ~ spl0_104
| ~ spl0_103 ),
inference(forward_demodulation,[status(thm)],[f794,f791]) ).
fof(f1536,plain,
( $false
| ~ spl0_104
| ~ spl0_103 ),
inference(forward_subsumption_resolution,[status(thm)],[f1535,f204]) ).
fof(f1537,plain,
( ~ spl0_104
| ~ spl0_103 ),
inference(contradiction_clause,[status(thm)],[f1536]) ).
fof(f1541,plain,
( e2 = e1
| ~ spl0_97
| ~ spl0_96 ),
inference(forward_demodulation,[status(thm)],[f772,f769]) ).
fof(f1542,plain,
( $false
| ~ spl0_97
| ~ spl0_96 ),
inference(forward_subsumption_resolution,[status(thm)],[f1541,f199]) ).
fof(f1543,plain,
( ~ spl0_97
| ~ spl0_96 ),
inference(contradiction_clause,[status(thm)],[f1542]) ).
fof(f1553,plain,
( e2 = e1
| ~ spl0_117
| ~ spl0_116 ),
inference(forward_demodulation,[status(thm)],[f836,f833]) ).
fof(f1554,plain,
( $false
| ~ spl0_117
| ~ spl0_116 ),
inference(forward_subsumption_resolution,[status(thm)],[f1553,f199]) ).
fof(f1555,plain,
( ~ spl0_117
| ~ spl0_116 ),
inference(contradiction_clause,[status(thm)],[f1554]) ).
fof(f1556,plain,
( e2 = e1
| ~ spl0_112
| ~ spl0_111 ),
inference(forward_demodulation,[status(thm)],[f820,f817]) ).
fof(f1557,plain,
( $false
| ~ spl0_112
| ~ spl0_111 ),
inference(forward_subsumption_resolution,[status(thm)],[f1556,f199]) ).
fof(f1558,plain,
( ~ spl0_112
| ~ spl0_111 ),
inference(contradiction_clause,[status(thm)],[f1557]) ).
fof(f1571,plain,
( e4 = e3
| ~ spl0_44
| ~ spl0_43 ),
inference(forward_demodulation,[status(thm)],[f602,f599]) ).
fof(f1572,plain,
( $false
| ~ spl0_44
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[status(thm)],[f1571,f204]) ).
fof(f1573,plain,
( ~ spl0_44
| ~ spl0_43 ),
inference(contradiction_clause,[status(thm)],[f1572]) ).
fof(f1574,plain,
( e4 = e3
| ~ spl0_19
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f522,f519]) ).
fof(f1575,plain,
( $false
| ~ spl0_19
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[status(thm)],[f1574,f204]) ).
fof(f1576,plain,
( ~ spl0_19
| ~ spl0_18 ),
inference(contradiction_clause,[status(thm)],[f1575]) ).
fof(f1580,plain,
( e4 = e3
| ~ spl0_84
| ~ spl0_83 ),
inference(forward_demodulation,[status(thm)],[f730,f727]) ).
fof(f1581,plain,
( $false
| ~ spl0_84
| ~ spl0_83 ),
inference(forward_subsumption_resolution,[status(thm)],[f1580,f204]) ).
fof(f1582,plain,
( ~ spl0_84
| ~ spl0_83 ),
inference(contradiction_clause,[status(thm)],[f1581]) ).
fof(f1583,plain,
( e4 = e3
| ~ spl0_79
| ~ spl0_78 ),
inference(forward_demodulation,[status(thm)],[f714,f711]) ).
fof(f1584,plain,
( $false
| ~ spl0_79
| ~ spl0_78 ),
inference(forward_subsumption_resolution,[status(thm)],[f1583,f204]) ).
fof(f1585,plain,
( ~ spl0_79
| ~ spl0_78 ),
inference(contradiction_clause,[status(thm)],[f1584]) ).
fof(f1586,plain,
( e2 = e1
| ~ spl0_92
| ~ spl0_91 ),
inference(forward_demodulation,[status(thm)],[f756,f753]) ).
fof(f1587,plain,
( $false
| ~ spl0_92
| ~ spl0_91 ),
inference(forward_subsumption_resolution,[status(thm)],[f1586,f199]) ).
fof(f1588,plain,
( ~ spl0_92
| ~ spl0_91 ),
inference(contradiction_clause,[status(thm)],[f1587]) ).
fof(f1589,plain,
( e2 = e1
| ~ spl0_67
| ~ spl0_66 ),
inference(forward_demodulation,[status(thm)],[f676,f673]) ).
fof(f1590,plain,
( $false
| ~ spl0_67
| ~ spl0_66 ),
inference(forward_subsumption_resolution,[status(thm)],[f1589,f199]) ).
fof(f1591,plain,
( ~ spl0_67
| ~ spl0_66 ),
inference(contradiction_clause,[status(thm)],[f1590]) ).
fof(f1607,plain,
( e4 = e3
| ~ spl0_63 ),
inference(forward_demodulation,[status(thm)],[f208,f663]) ).
fof(f1608,plain,
( $false
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[status(thm)],[f1607,f204]) ).
fof(f1609,plain,
~ spl0_63,
inference(contradiction_clause,[status(thm)],[f1608]) ).
fof(f1610,plain,
( e4 = e3
| ~ spl0_39
| ~ spl0_38 ),
inference(forward_demodulation,[status(thm)],[f586,f583]) ).
fof(f1611,plain,
( $false
| ~ spl0_39
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[status(thm)],[f1610,f204]) ).
fof(f1612,plain,
( ~ spl0_39
| ~ spl0_38 ),
inference(contradiction_clause,[status(thm)],[f1611]) ).
fof(f1622,plain,
( e4 = e2
| ~ spl0_62 ),
inference(forward_demodulation,[status(thm)],[f208,f660]) ).
fof(f1623,plain,
( $false
| ~ spl0_62 ),
inference(forward_subsumption_resolution,[status(thm)],[f1622,f203]) ).
fof(f1624,plain,
~ spl0_62,
inference(contradiction_clause,[status(thm)],[f1623]) ).
fof(f1625,plain,
( e4 = e1
| ~ spl0_61 ),
inference(forward_demodulation,[status(thm)],[f208,f657]) ).
fof(f1626,plain,
( $false
| ~ spl0_61 ),
inference(forward_subsumption_resolution,[status(thm)],[f1625,f201]) ).
fof(f1627,plain,
~ spl0_61,
inference(contradiction_clause,[status(thm)],[f1626]) ).
fof(f1628,plain,
( e2 = e1
| ~ spl0_37
| ~ spl0_36 ),
inference(forward_demodulation,[status(thm)],[f580,f577]) ).
fof(f1629,plain,
( $false
| ~ spl0_37
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[status(thm)],[f1628,f199]) ).
fof(f1630,plain,
( ~ spl0_37
| ~ spl0_36 ),
inference(contradiction_clause,[status(thm)],[f1629]) ).
fof(f1637,plain,
( e2 = e1
| ~ spl0_52
| ~ spl0_51 ),
inference(forward_demodulation,[status(thm)],[f628,f625]) ).
fof(f1638,plain,
( $false
| ~ spl0_52
| ~ spl0_51 ),
inference(forward_subsumption_resolution,[status(thm)],[f1637,f199]) ).
fof(f1639,plain,
( ~ spl0_52
| ~ spl0_51 ),
inference(contradiction_clause,[status(thm)],[f1638]) ).
fof(f1640,plain,
( e4 = e0
| ~ spl0_60 ),
inference(forward_demodulation,[status(thm)],[f208,f654]) ).
fof(f1641,plain,
( $false
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[status(thm)],[f1640,f198]) ).
fof(f1642,plain,
~ spl0_60,
inference(contradiction_clause,[status(thm)],[f1641]) ).
fof(f1652,plain,
( e2 = e1
| ~ spl0_32
| ~ spl0_31 ),
inference(forward_demodulation,[status(thm)],[f564,f561]) ).
fof(f1653,plain,
( $false
| ~ spl0_32
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[status(thm)],[f1652,f199]) ).
fof(f1654,plain,
( ~ spl0_32
| ~ spl0_31 ),
inference(contradiction_clause,[status(thm)],[f1653]) ).
fof(f1655,plain,
( e2 = e1
| ~ spl0_7
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f484,f481]) ).
fof(f1656,plain,
( $false
| ~ spl0_7
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f1655,f199]) ).
fof(f1657,plain,
( ~ spl0_7
| ~ spl0_6 ),
inference(contradiction_clause,[status(thm)],[f1656]) ).
fof(f1658,plain,
( e2 = e1
| ~ spl0_27
| ~ spl0_26 ),
inference(forward_demodulation,[status(thm)],[f548,f545]) ).
fof(f1659,plain,
( $false
| ~ spl0_27
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[status(thm)],[f1658,f199]) ).
fof(f1660,plain,
( ~ spl0_27
| ~ spl0_26 ),
inference(contradiction_clause,[status(thm)],[f1659]) ).
fof(f1661,plain,
( e4 = e3
| ~ spl0_4
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f474,f471]) ).
fof(f1662,plain,
( $false
| ~ spl0_4
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f1661,f204]) ).
fof(f1663,plain,
( ~ spl0_4
| ~ spl0_3 ),
inference(contradiction_clause,[status(thm)],[f1662]) ).
fof(f1672,plain,
( op(e0,e0) = e1
| ~ spl0_25
| ~ spl0_185 ),
inference(forward_demodulation,[status(thm)],[f542,f1133]) ).
fof(f1707,plain,
( op(e0,e1) = e2
| ~ spl0_55
| ~ spl0_243 ),
inference(forward_demodulation,[status(thm)],[f638,f1357]) ).
fof(f1707_001,plain,
( op(e0,e1) = e2
| ~ spl0_55
| ~ spl0_243 ),
inference(forward_demodulation,[status(thm)],[f638,f1357]) ).
fof(f1708,plain,
( e0 = e2
| ~ spl0_5
| ~ spl0_55
| ~ spl0_243 ),
inference(forward_demodulation,[status(thm)],[f478,f1707]) ).
fof(f1709,plain,
( $false
| ~ spl0_5
| ~ spl0_55
| ~ spl0_243 ),
inference(forward_subsumption_resolution,[status(thm)],[f1708,f196]) ).
fof(f1710,plain,
( ~ spl0_5
| ~ spl0_55
| ~ spl0_243 ),
inference(contradiction_clause,[status(thm)],[f1709]) ).
fof(f1718,plain,
( op(e0,e2) = e3
| ~ spl0_85
| ~ spl0_222 ),
inference(forward_demodulation,[status(thm)],[f734,f1276]) ).
fof(f1728,plain,
( op(e3,e0) = e1
| ~ spl0_40
| ~ spl0_193 ),
inference(forward_demodulation,[status(thm)],[f590,f1163]) ).
fof(f1744,plain,
( op(e2,e0) = e3
| ~ spl0_85
| ~ spl0_155 ),
inference(forward_demodulation,[status(thm)],[f734,f1021]) ).
fof(f1759,plain,
e1 = op(e3,op(e2,e2)),
inference(backward_demodulation,[status(thm)],[f207,f206]) ).
fof(f1760,plain,
e1 = op(e3,e4),
inference(forward_demodulation,[status(thm)],[f208,f1759]) ).
fof(f1761,plain,
e3 = op(e2,e4),
inference(backward_demodulation,[status(thm)],[f208,f207]) ).
fof(f1762,plain,
( e3 = e0
| ~ spl0_70 ),
inference(forward_demodulation,[status(thm)],[f686,f1761]) ).
fof(f1763,plain,
( $false
| ~ spl0_70 ),
inference(forward_subsumption_resolution,[status(thm)],[f1762,f197]) ).
fof(f1764,plain,
~ spl0_70,
inference(contradiction_clause,[status(thm)],[f1763]) ).
fof(f1765,plain,
e0 = op(op(e2,e2),e4),
inference(backward_demodulation,[status(thm)],[f208,f205]) ).
fof(f1766,plain,
e0 = op(e4,e4),
inference(forward_demodulation,[status(thm)],[f208,f1765]) ).
fof(f1768,plain,
e4 != op(e2,e3),
inference(backward_demodulation,[status(thm)],[f208,f172]) ).
fof(f1770,plain,
op(e2,e1) != e4,
inference(backward_demodulation,[status(thm)],[f208,f169]) ).
fof(f1772,plain,
e4 != op(e4,e2),
inference(backward_demodulation,[status(thm)],[f208,f123]) ).
fof(f1773,plain,
e4 != op(e3,e2),
inference(backward_demodulation,[status(thm)],[f208,f122]) ).
fof(f1775,plain,
op(e1,e2) != e4,
inference(backward_demodulation,[status(thm)],[f208,f119]) ).
fof(f1779,plain,
( op(e4,e2) != e0
| ~ spl0_120 ),
inference(forward_demodulation,[status(thm)],[f846,f193]) ).
fof(f1780,plain,
( e0 != op(e4,e4)
| ~ spl0_105 ),
inference(forward_demodulation,[status(thm)],[f798,f191]) ).
fof(f1781,plain,
( e0 != e0
| ~ spl0_120
| ~ spl0_105 ),
inference(forward_demodulation,[status(thm)],[f846,f1780]) ).
fof(f1782,plain,
( $false
| ~ spl0_120
| ~ spl0_105 ),
inference(trivial_equality_resolution,[status(esa)],[f1781]) ).
fof(f1783,plain,
( ~ spl0_120
| ~ spl0_105 ),
inference(contradiction_clause,[status(thm)],[f1782]) ).
fof(f1786,plain,
( e1 != op(e4,e3)
| spl0_162 ),
inference(forward_demodulation,[status(thm)],[f1760,f1048]) ).
fof(f1800,plain,
op(e1,e4) != e1,
inference(forward_demodulation,[status(thm)],[f1760,f140]) ).
fof(f1801,plain,
op(e0,e4) != e1,
inference(forward_demodulation,[status(thm)],[f1760,f137]) ).
fof(f1810,plain,
( op(e2,e0) != e3
| ~ spl0_73 ),
inference(forward_demodulation,[status(thm)],[f695,f168]) ).
fof(f1811,plain,
( op(e1,e4) != e3
| ~ spl0_73 ),
inference(forward_demodulation,[status(thm)],[f695,f139]) ).
fof(f1814,plain,
( $false
| ~ spl0_73
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[status(thm)],[f615,f1811]) ).
fof(f1815,plain,
( ~ spl0_73
| ~ spl0_48 ),
inference(contradiction_clause,[status(thm)],[f1814]) ).
fof(f1851,plain,
( $false
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[status(thm)],[f609,f1800]) ).
fof(f1852,plain,
~ spl0_46,
inference(contradiction_clause,[status(thm)],[f1851]) ).
fof(f1860,plain,
( e0 != op(e3,e3)
| ~ spl0_85 ),
inference(forward_demodulation,[status(thm)],[f734,f182]) ).
fof(f1861,plain,
( e0 != e0
| ~ spl0_90
| ~ spl0_85 ),
inference(forward_demodulation,[status(thm)],[f750,f1860]) ).
fof(f1862,plain,
( $false
| ~ spl0_90
| ~ spl0_85 ),
inference(trivial_equality_resolution,[status(esa)],[f1861]) ).
fof(f1863,plain,
( ~ spl0_90
| ~ spl0_85 ),
inference(contradiction_clause,[status(thm)],[f1862]) ).
fof(f1870,plain,
( e0 != op(e3,e2)
| ~ spl0_65
| spl0_221 ),
inference(forward_demodulation,[status(thm)],[f670,f1273]) ).
fof(f1874,plain,
( op(e2,e0) != e0
| ~ spl0_65 ),
inference(forward_demodulation,[status(thm)],[f670,f167]) ).
fof(f1878,plain,
( e0 != op(e3,e2)
| ~ spl0_80 ),
inference(forward_demodulation,[status(thm)],[f718,f179]) ).
fof(f1948,plain,
( op(e1,e4) = e3
| ~ spl0_215 ),
inference(forward_demodulation,[status(thm)],[f1760,f1249]) ).
fof(f1951,plain,
( op(e1,e2) = e4
| ~ spl0_111
| ~ spl0_181 ),
inference(forward_demodulation,[status(thm)],[f817,f1118]) ).
fof(f1952,plain,
( $false
| ~ spl0_111
| ~ spl0_181 ),
inference(forward_subsumption_resolution,[status(thm)],[f1951,f1775]) ).
fof(f1953,plain,
( ~ spl0_111
| ~ spl0_181 ),
inference(contradiction_clause,[status(thm)],[f1952]) ).
fof(f1967,plain,
( op(e4,e0) = e4
| ~ spl0_125 ),
inference(forward_demodulation,[status(thm)],[f862,f43]) ).
fof(f1968,plain,
( op(e0,e4) = e4
| ~ spl0_125 ),
inference(forward_demodulation,[status(thm)],[f862,f42]) ).
fof(f1968_002,plain,
( op(e0,e4) = e4
| ~ spl0_125 ),
inference(forward_demodulation,[status(thm)],[f862,f42]) ).
fof(f1969,plain,
( e0 = e4
| ~ spl0_20
| ~ spl0_125 ),
inference(forward_demodulation,[status(thm)],[f526,f1968]) ).
fof(f1970,plain,
( $false
| ~ spl0_20
| ~ spl0_125 ),
inference(forward_subsumption_resolution,[status(thm)],[f1969,f198]) ).
fof(f1971,plain,
( ~ spl0_20
| ~ spl0_125 ),
inference(contradiction_clause,[status(thm)],[f1970]) ).
fof(f1972,plain,
( op(e3,e0) = e3
| ~ spl0_125 ),
inference(forward_demodulation,[status(thm)],[f862,f41]) ).
fof(f1973,plain,
( op(e0,e3) = e3
| ~ spl0_125 ),
inference(forward_demodulation,[status(thm)],[f862,f40]) ).
fof(f1974,plain,
( op(e2,e0) = e2
| ~ spl0_125 ),
inference(forward_demodulation,[status(thm)],[f862,f39]) ).
fof(f1975,plain,
( e0 = e2
| ~ spl0_50
| ~ spl0_125 ),
inference(forward_demodulation,[status(thm)],[f622,f1974]) ).
fof(f1976,plain,
( $false
| ~ spl0_50
| ~ spl0_125 ),
inference(forward_subsumption_resolution,[status(thm)],[f1975,f196]) ).
fof(f1977,plain,
( ~ spl0_50
| ~ spl0_125 ),
inference(contradiction_clause,[status(thm)],[f1976]) ).
fof(f1982,plain,
( e3 = e1
| ~ spl0_71 ),
inference(forward_demodulation,[status(thm)],[f689,f1761]) ).
fof(f1983,plain,
( $false
| ~ spl0_71 ),
inference(forward_subsumption_resolution,[status(thm)],[f1982,f200]) ).
fof(f1984,plain,
~ spl0_71,
inference(contradiction_clause,[status(thm)],[f1983]) ).
fof(f2000,plain,
( e0 = e1
| ~ spl0_121 ),
inference(forward_demodulation,[status(thm)],[f1766,f849]) ).
fof(f2001,plain,
( $false
| ~ spl0_121 ),
inference(forward_subsumption_resolution,[status(thm)],[f2000,f195]) ).
fof(f2002,plain,
~ spl0_121,
inference(contradiction_clause,[status(thm)],[f2001]) ).
fof(f2012,plain,
( e1 = e3
| ~ spl0_98 ),
inference(forward_demodulation,[status(thm)],[f1760,f775]) ).
fof(f2013,plain,
( $false
| ~ spl0_98 ),
inference(forward_subsumption_resolution,[status(thm)],[f2012,f200]) ).
fof(f2014,plain,
~ spl0_98,
inference(contradiction_clause,[status(thm)],[f2013]) ).
fof(f2022,plain,
( e1 != e1
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f529,f1801]) ).
fof(f2023,plain,
( $false
| ~ spl0_21 ),
inference(trivial_equality_resolution,[status(esa)],[f2022]) ).
fof(f2024,plain,
~ spl0_21,
inference(contradiction_clause,[status(thm)],[f2023]) ).
fof(f2031,plain,
( op(e0,e4) != e4
| ~ spl0_24
| spl0_208 ),
inference(backward_demodulation,[status(thm)],[f538,f1223]) ).
fof(f2032,plain,
( ~ spl0_24
| spl0_208 ),
inference(split_clause,[status(thm)],[f2031,f537,f1221]) ).
fof(f2034,plain,
( op(e0,e2) != e4
| ~ spl0_24 ),
inference(backward_demodulation,[status(thm)],[f538,f153]) ).
fof(f2042,plain,
op(e3,e2) != e1,
inference(forward_demodulation,[status(thm)],[f1760,f183]) ).
fof(f2045,plain,
op(e3,e1) != e1,
inference(forward_demodulation,[status(thm)],[f1760,f181]) ).
fof(f2048,plain,
( e3 != op(e3,e0)
| ~ spl0_18
| spl0_229 ),
inference(forward_demodulation,[status(thm)],[f519,f1303]) ).
fof(f2050,plain,
op(e3,e0) != e1,
inference(forward_demodulation,[status(thm)],[f1760,f178]) ).
fof(f2052,plain,
( $false
| ~ spl0_86 ),
inference(forward_subsumption_resolution,[status(thm)],[f737,f2042]) ).
fof(f2053,plain,
~ spl0_86,
inference(contradiction_clause,[status(thm)],[f2052]) ).
fof(f2071,plain,
( op(e1,e3) = e2
| ~ spl0_66
| ~ spl0_236 ),
inference(forward_demodulation,[status(thm)],[f673,f1330]) ).
fof(f2078,plain,
( e3 != op(e1,e2)
| ~ spl0_33 ),
inference(forward_demodulation,[status(thm)],[f567,f159]) ).
fof(f2079,plain,
( e3 != e3
| ~ spl0_38
| ~ spl0_33 ),
inference(forward_demodulation,[status(thm)],[f583,f2078]) ).
fof(f2080,plain,
( $false
| ~ spl0_38
| ~ spl0_33 ),
inference(trivial_equality_resolution,[status(esa)],[f2079]) ).
fof(f2081,plain,
( ~ spl0_38
| ~ spl0_33 ),
inference(contradiction_clause,[status(thm)],[f2080]) ).
fof(f2105,plain,
( op(e0,e2) != e3
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f519,f152]) ).
fof(f2108,plain,
( e2 = e3
| ~ spl0_42
| ~ spl0_43 ),
inference(forward_demodulation,[status(thm)],[f596,f599]) ).
fof(f2109,plain,
( $false
| ~ spl0_42
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[status(thm)],[f2108,f202]) ).
fof(f2110,plain,
( ~ spl0_42
| ~ spl0_43 ),
inference(contradiction_clause,[status(thm)],[f2109]) ).
fof(f2111,plain,
( op(e0,e3) != e3
| ~ spl0_18
| spl0_206 ),
inference(forward_demodulation,[status(thm)],[f519,f1215]) ).
fof(f2112,plain,
( e3 != e3
| ~ spl0_18
| spl0_206 ),
inference(forward_demodulation,[status(thm)],[f519,f2111]) ).
fof(f2113,plain,
( $false
| ~ spl0_18
| spl0_206 ),
inference(trivial_equality_resolution,[status(esa)],[f2112]) ).
fof(f2114,plain,
( ~ spl0_18
| spl0_206 ),
inference(contradiction_clause,[status(thm)],[f2113]) ).
fof(f2116,plain,
( ~ spl0_116
| spl0_162 ),
inference(split_clause,[status(thm)],[f1786,f832,f1046]) ).
fof(f2138,plain,
( op(e4,e1) = e3
| ~ spl0_160 ),
inference(forward_demodulation,[status(thm)],[f1760,f1040]) ).
fof(f2145,plain,
( op(e0,e3) = e4
| ~ spl0_103
| ~ spl0_132 ),
inference(forward_demodulation,[status(thm)],[f791,f935]) ).
fof(f2153,plain,
( op(e3,e4) = e3
| ~ spl0_129 ),
inference(backward_demodulation,[status(thm)],[f874,f41]) ).
fof(f2154,plain,
( spl0_98
| ~ spl0_129 ),
inference(split_clause,[status(thm)],[f2153,f774,f873]) ).
fof(f2159,plain,
( e3 = e2
| ~ spl0_72 ),
inference(forward_demodulation,[status(thm)],[f692,f1761]) ).
fof(f2160,plain,
( $false
| ~ spl0_72 ),
inference(forward_subsumption_resolution,[status(thm)],[f2159,f202]) ).
fof(f2161,plain,
~ spl0_72,
inference(contradiction_clause,[status(thm)],[f2160]) ).
fof(f2173,plain,
( op(e4,e0) != e4
| ~ spl0_109 ),
inference(backward_demodulation,[status(thm)],[f810,f185]) ).
fof(f2174,plain,
( ~ spl0_104
| ~ spl0_109 ),
inference(split_clause,[status(thm)],[f2173,f793,f809]) ).
fof(f2179,plain,
( op(e0,e1) != e4
| ~ spl0_109 ),
inference(backward_demodulation,[status(thm)],[f810,f108]) ).
fof(f2180,plain,
( ~ spl0_9
| ~ spl0_109 ),
inference(split_clause,[status(thm)],[f2179,f489,f809]) ).
fof(f2192,plain,
( op(e1,e0) != e1
| ~ spl0_101 ),
inference(backward_demodulation,[status(thm)],[f785,f101]) ).
fof(f2193,plain,
( ~ spl0_26
| ~ spl0_101 ),
inference(split_clause,[status(thm)],[f2192,f544,f784]) ).
fof(f2198,plain,
( e1 = e0
| ~ spl0_95 ),
inference(forward_demodulation,[status(thm)],[f1760,f766]) ).
fof(f2199,plain,
( $false
| ~ spl0_95 ),
inference(forward_subsumption_resolution,[status(thm)],[f2198,f195]) ).
fof(f2200,plain,
~ spl0_95,
inference(contradiction_clause,[status(thm)],[f2199]) ).
fof(f2203,plain,
( op(e0,e1) != e1
| ~ spl0_11 ),
inference(backward_demodulation,[status(thm)],[f497,f149]) ).
fof(f2204,plain,
( ~ spl0_6
| ~ spl0_11 ),
inference(split_clause,[status(thm)],[f2203,f480,f496]) ).
fof(f2210,plain,
( e1 != op(e0,e3)
| ~ spl0_11 ),
inference(backward_demodulation,[status(thm)],[f497,f152]) ).
fof(f2211,plain,
( ~ spl0_16
| ~ spl0_11 ),
inference(split_clause,[status(thm)],[f2210,f512,f496]) ).
fof(f2212,plain,
( e0 = e2
| ~ spl0_122 ),
inference(forward_demodulation,[status(thm)],[f1766,f852]) ).
fof(f2213,plain,
( $false
| ~ spl0_122 ),
inference(forward_subsumption_resolution,[status(thm)],[f2212,f196]) ).
fof(f2214,plain,
~ spl0_122,
inference(contradiction_clause,[status(thm)],[f2213]) ).
fof(f2222,plain,
( e0 = e3
| ~ spl0_123 ),
inference(forward_demodulation,[status(thm)],[f1766,f855]) ).
fof(f2223,plain,
( $false
| ~ spl0_123 ),
inference(forward_subsumption_resolution,[status(thm)],[f2222,f197]) ).
fof(f2224,plain,
~ spl0_123,
inference(contradiction_clause,[status(thm)],[f2223]) ).
fof(f2242,plain,
( e1 = e4
| ~ spl0_99 ),
inference(forward_demodulation,[status(thm)],[f1760,f778]) ).
fof(f2243,plain,
( $false
| ~ spl0_99 ),
inference(forward_subsumption_resolution,[status(thm)],[f2242,f201]) ).
fof(f2244,plain,
~ spl0_99,
inference(contradiction_clause,[status(thm)],[f2243]) ).
fof(f2252,plain,
( op(e0,e3) != e2
| ~ spl0_22 ),
inference(forward_demodulation,[status(thm)],[f532,f154]) ).
fof(f2254,plain,
( op(e0,e2) = e4
| ~ spl0_22
| ~ spl0_208 ),
inference(forward_demodulation,[status(thm)],[f532,f1222]) ).
fof(f2266,plain,
( op(e2,e1) = e0
| ~ spl0_11
| ~ spl0_205 ),
inference(forward_demodulation,[status(thm)],[f497,f1210]) ).
fof(f2294,plain,
( ~ spl0_110
| ~ spl0_120 ),
inference(split_clause,[status(thm)],[f1779,f813,f845]) ).
fof(f2323,plain,
op(e1,e4) != e0,
inference(forward_demodulation,[status(thm)],[f1766,f141]) ).
fof(f2325,plain,
( op(e4,e0) != e4
| spl0_143 ),
inference(forward_demodulation,[status(thm)],[f1766,f976]) ).
fof(f2329,plain,
( e1 != e1
| ~ spl0_76 ),
inference(forward_demodulation,[status(thm)],[f705,f2050]) ).
fof(f2330,plain,
( $false
| ~ spl0_76 ),
inference(trivial_equality_resolution,[status(esa)],[f2329]) ).
fof(f2331,plain,
~ spl0_76,
inference(contradiction_clause,[status(thm)],[f2330]) ).
fof(f2333,plain,
( e2 != op(e4,e0)
| ~ spl0_22
| spl0_211 ),
inference(forward_demodulation,[status(thm)],[f532,f1234]) ).
fof(f2336,plain,
( op(e1,e2) = e2
| ~ spl0_126 ),
inference(forward_demodulation,[status(thm)],[f865,f38]) ).
fof(f2337,plain,
( op(e1,e1) = e1
| ~ spl0_126 ),
inference(forward_demodulation,[status(thm)],[f865,f37]) ).
fof(f2339,plain,
( op(e0,e1) = e0
| ~ spl0_126 ),
inference(forward_demodulation,[status(thm)],[f865,f35]) ).
fof(f2340,plain,
( op(e1,e0) = e0
| ~ spl0_126 ),
inference(forward_demodulation,[status(thm)],[f865,f34]) ).
fof(f2342,plain,
( op(e4,e1) = e4
| ~ spl0_126 ),
inference(forward_demodulation,[status(thm)],[f865,f43]) ).
fof(f2342_003,plain,
( op(e4,e1) = e4
| ~ spl0_126 ),
inference(forward_demodulation,[status(thm)],[f865,f43]) ).
fof(f2343,plain,
( op(e1,e4) = e4
| ~ spl0_126 ),
inference(forward_demodulation,[status(thm)],[f865,f42]) ).
fof(f2344,plain,
( op(e3,e1) = e3
| ~ spl0_126 ),
inference(forward_demodulation,[status(thm)],[f865,f41]) ).
fof(f2345,plain,
( op(e1,e3) = e3
| ~ spl0_126 ),
inference(forward_demodulation,[status(thm)],[f865,f40]) ).
fof(f2346,plain,
( op(e2,e1) = e2
| ~ spl0_126 ),
inference(forward_demodulation,[status(thm)],[f865,f39]) ).
fof(f2347,plain,
( e0 = e2
| ~ spl0_11
| ~ spl0_205
| ~ spl0_126 ),
inference(forward_demodulation,[status(thm)],[f2266,f2346]) ).
fof(f2348,plain,
( $false
| ~ spl0_11
| ~ spl0_205
| ~ spl0_126 ),
inference(forward_subsumption_resolution,[status(thm)],[f2347,f196]) ).
fof(f2349,plain,
( ~ spl0_11
| ~ spl0_205
| ~ spl0_126 ),
inference(contradiction_clause,[status(thm)],[f2348]) ).
fof(f2355,plain,
( e3 != op(e4,e2)
| spl0_180 ),
inference(forward_demodulation,[status(thm)],[f1761,f1115]) ).
fof(f2364,plain,
op(e4,e3) != e0,
inference(forward_demodulation,[status(thm)],[f1766,f194]) ).
fof(f2368,plain,
( e1 != op(e2,e0)
| ~ spl0_11
| spl0_246 ),
inference(backward_demodulation,[status(thm)],[f497,f1369]) ).
fof(f2369,plain,
( ~ spl0_51
| ~ spl0_11
| spl0_246 ),
inference(split_clause,[status(thm)],[f2368,f624,f496,f1367]) ).
fof(f2392,plain,
( e0 = e4
| ~ spl0_124 ),
inference(forward_demodulation,[status(thm)],[f1766,f858]) ).
fof(f2393,plain,
( $false
| ~ spl0_124 ),
inference(forward_subsumption_resolution,[status(thm)],[f2392,f198]) ).
fof(f2394,plain,
~ spl0_124,
inference(contradiction_clause,[status(thm)],[f2393]) ).
fof(f2402,plain,
( e4 != op(e3,e0)
| ~ spl0_19
| spl0_229 ),
inference(backward_demodulation,[status(thm)],[f522,f1303]) ).
fof(f2412,plain,
( op(e2,e4) = e0
| ~ spl0_22
| ~ spl0_266 ),
inference(backward_demodulation,[status(thm)],[f532,f1447]) ).
fof(f2413,plain,
( spl0_70
| ~ spl0_22
| ~ spl0_266 ),
inference(split_clause,[status(thm)],[f2412,f685,f531,f1446]) ).
fof(f2433,plain,
( e2 != op(e4,e2)
| ~ spl0_37 ),
inference(forward_demodulation,[status(thm)],[f580,f121]) ).
fof(f2436,plain,
( op(e0,e0) != e2
| ~ spl0_22 ),
inference(forward_demodulation,[status(thm)],[f532,f148]) ).
fof(f2440,plain,
( op(e3,e4) != e1
| ~ spl0_84
| spl0_151 ),
inference(backward_demodulation,[status(thm)],[f730,f1007]) ).
fof(f2441,plain,
( ~ spl0_96
| ~ spl0_84
| spl0_151 ),
inference(split_clause,[status(thm)],[f2440,f768,f729,f1005]) ).
fof(f2444,plain,
( op(e1,e1) != e4
| ~ spl0_84 ),
inference(backward_demodulation,[status(thm)],[f730,f110]) ).
fof(f2445,plain,
( ~ spl0_34
| ~ spl0_84 ),
inference(split_clause,[status(thm)],[f2444,f569,f729]) ).
fof(f2453,plain,
( e3 != op(e1,e3)
| ~ spl0_38 ),
inference(backward_demodulation,[status(thm)],[f583,f162]) ).
fof(f2454,plain,
( ~ spl0_43
| ~ spl0_38 ),
inference(split_clause,[status(thm)],[f2453,f598,f582]) ).
fof(f2456,plain,
( e2 = e3
| ~ spl0_37
| ~ spl0_38 ),
inference(forward_demodulation,[status(thm)],[f580,f583]) ).
fof(f2457,plain,
( $false
| ~ spl0_37
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[status(thm)],[f2456,f202]) ).
fof(f2458,plain,
( ~ spl0_37
| ~ spl0_38 ),
inference(contradiction_clause,[status(thm)],[f2457]) ).
fof(f2468,plain,
( $false
| ~ spl0_89 ),
inference(forward_subsumption_resolution,[status(thm)],[f746,f1773]) ).
fof(f2469,plain,
~ spl0_89,
inference(contradiction_clause,[status(thm)],[f2468]) ).
fof(f2487,plain,
( op(e3,e4) = e4
| ~ spl0_128 ),
inference(forward_demodulation,[status(thm)],[f871,f42]) ).
fof(f2488,plain,
( e1 = e4
| ~ spl0_128 ),
inference(forward_demodulation,[status(thm)],[f1760,f2487]) ).
fof(f2489,plain,
( $false
| ~ spl0_128 ),
inference(forward_subsumption_resolution,[status(thm)],[f2488,f201]) ).
fof(f2490,plain,
~ spl0_128,
inference(contradiction_clause,[status(thm)],[f2489]) ).
fof(f2504,plain,
( $false
| ~ spl0_114 ),
inference(forward_subsumption_resolution,[status(thm)],[f826,f1772]) ).
fof(f2505,plain,
~ spl0_114,
inference(contradiction_clause,[status(thm)],[f2504]) ).
fof(f2513,plain,
( op(e4,e1) != e3
| spl0_160 ),
inference(forward_demodulation,[status(thm)],[f1760,f1041]) ).
fof(f2514,plain,
( ~ spl0_108
| spl0_160 ),
inference(split_clause,[status(thm)],[f2513,f806,f1039]) ).
fof(f2522,plain,
( e2 = e3
| ~ spl0_22
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f532,f535]) ).
fof(f2523,plain,
( $false
| ~ spl0_22
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[status(thm)],[f2522,f202]) ).
fof(f2524,plain,
( ~ spl0_22
| ~ spl0_23 ),
inference(contradiction_clause,[status(thm)],[f2523]) ).
fof(f2532,plain,
( $false
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[status(thm)],[f606,f2323]) ).
fof(f2533,plain,
~ spl0_45,
inference(contradiction_clause,[status(thm)],[f2532]) ).
fof(f2535,plain,
( ~ spl0_17
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f2252,f515,f531]) ).
fof(f2536,plain,
( e0 != op(e2,e1)
| ~ spl0_35
| spl0_242 ),
inference(forward_demodulation,[status(thm)],[f574,f1354]) ).
fof(f2539,plain,
( $false
| ~ spl0_35
| spl0_242
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[status(thm)],[f638,f2536]) ).
fof(f2540,plain,
( ~ spl0_35
| spl0_242
| ~ spl0_55 ),
inference(contradiction_clause,[status(thm)],[f2539]) ).
fof(f2541,plain,
( op(e0,e0) != e1
| ~ spl0_51 ),
inference(backward_demodulation,[status(thm)],[f625,f96]) ).
fof(f2549,plain,
op(e2,e3) != e3,
inference(forward_demodulation,[status(thm)],[f1761,f174]) ).
fof(f2561,plain,
( $false
| ~ spl0_68 ),
inference(forward_subsumption_resolution,[status(thm)],[f679,f2549]) ).
fof(f2562,plain,
~ spl0_68,
inference(contradiction_clause,[status(thm)],[f2561]) ).
fof(f2574,plain,
( op(e2,e3) != e1
| ~ spl0_82
| spl0_227 ),
inference(forward_demodulation,[status(thm)],[f724,f1296]) ).
fof(f2577,plain,
( op(e0,e1) != e3
| ~ spl0_83 ),
inference(backward_demodulation,[status(thm)],[f727,f107]) ).
fof(f2578,plain,
( ~ spl0_8
| ~ spl0_83 ),
inference(split_clause,[status(thm)],[f2577,f486,f726]) ).
fof(f2579,plain,
( e2 = e3
| ~ spl0_82
| ~ spl0_83 ),
inference(forward_demodulation,[status(thm)],[f724,f727]) ).
fof(f2580,plain,
( $false
| ~ spl0_82
| ~ spl0_83 ),
inference(forward_subsumption_resolution,[status(thm)],[f2579,f202]) ).
fof(f2581,plain,
( ~ spl0_82
| ~ spl0_83 ),
inference(contradiction_clause,[status(thm)],[f2580]) ).
fof(f2584,plain,
( op(e0,e2) != e2
| ~ spl0_22 ),
inference(forward_demodulation,[status(thm)],[f532,f153]) ).
fof(f2585,plain,
( ~ spl0_102
| ~ spl0_22
| spl0_211 ),
inference(split_clause,[status(thm)],[f2333,f787,f531,f1232]) ).
fof(f2586,plain,
( $false
| spl0_180
| ~ spl0_113 ),
inference(forward_subsumption_resolution,[status(thm)],[f823,f2355]) ).
fof(f2587,plain,
( spl0_180
| ~ spl0_113 ),
inference(contradiction_clause,[status(thm)],[f2586]) ).
fof(f2593,plain,
( $false
| ~ spl0_115 ),
inference(forward_subsumption_resolution,[status(thm)],[f830,f2364]) ).
fof(f2594,plain,
~ spl0_115,
inference(contradiction_clause,[status(thm)],[f2593]) ).
fof(f2601,plain,
( spl0_13
| ~ spl0_85
| ~ spl0_222 ),
inference(split_clause,[status(thm)],[f1718,f502,f733,f1275]) ).
fof(f2606,plain,
( spl0_37
| ~ spl0_126 ),
inference(split_clause,[status(thm)],[f2336,f579,f864]) ).
fof(f2607,plain,
( spl0_31
| ~ spl0_126 ),
inference(split_clause,[status(thm)],[f2337,f560,f864]) ).
fof(f2608,plain,
( spl0_5
| ~ spl0_126 ),
inference(split_clause,[status(thm)],[f2339,f477,f864]) ).
fof(f2611,plain,
( e0 != op(e1,e3)
| ~ spl0_126 ),
inference(backward_demodulation,[status(thm)],[f2340,f157]) ).
fof(f2612,plain,
( ~ spl0_40
| ~ spl0_126 ),
inference(split_clause,[status(thm)],[f2611,f589,f864]) ).
fof(f2635,plain,
( e3 = e4
| ~ spl0_74 ),
inference(forward_demodulation,[status(thm)],[f1761,f698]) ).
fof(f2636,plain,
( $false
| ~ spl0_74 ),
inference(forward_subsumption_resolution,[status(thm)],[f2635,f204]) ).
fof(f2637,plain,
~ spl0_74,
inference(contradiction_clause,[status(thm)],[f2636]) ).
fof(f2638,plain,
( $false
| ~ spl0_22
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f500,f2584]) ).
fof(f2639,plain,
( ~ spl0_22
| ~ spl0_12 ),
inference(contradiction_clause,[status(thm)],[f2638]) ).
fof(f2643,plain,
( ~ spl0_50
| ~ spl0_65 ),
inference(split_clause,[status(thm)],[f1874,f621,f669]) ).
fof(f2654,plain,
( op(e0,e3) != e4
| ~ spl0_94 ),
inference(backward_demodulation,[status(thm)],[f762,f127]) ).
fof(f2655,plain,
( ~ spl0_19
| ~ spl0_94 ),
inference(split_clause,[status(thm)],[f2654,f521,f761]) ).
fof(f2670,plain,
( op(e2,e4) != e3
| ~ spl0_117
| spl0_164 ),
inference(backward_demodulation,[status(thm)],[f836,f1056]) ).
fof(f2671,plain,
( ~ spl0_73
| ~ spl0_117
| spl0_164 ),
inference(split_clause,[status(thm)],[f2670,f694,f835,f1054]) ).
fof(f2678,plain,
( e4 != op(e4,e0)
| ~ spl0_29 ),
inference(backward_demodulation,[status(thm)],[f554,f101]) ).
fof(f2679,plain,
( ~ spl0_104
| ~ spl0_29 ),
inference(split_clause,[status(thm)],[f2678,f793,f553]) ).
fof(f2680,plain,
( e4 != op(e1,e4)
| ~ spl0_29 ),
inference(backward_demodulation,[status(thm)],[f554,f158]) ).
fof(f2681,plain,
( ~ spl0_49
| ~ spl0_29 ),
inference(split_clause,[status(thm)],[f2680,f617,f553]) ).
fof(f2690,plain,
( e4 != e4
| ~ spl0_59 ),
inference(forward_demodulation,[status(thm)],[f650,f1770]) ).
fof(f2691,plain,
( $false
| ~ spl0_59 ),
inference(trivial_equality_resolution,[status(esa)],[f2690]) ).
fof(f2692,plain,
~ spl0_59,
inference(contradiction_clause,[status(thm)],[f2691]) ).
fof(f2697,plain,
( op(e3,e0) != e3
| ~ spl0_88 ),
inference(forward_demodulation,[status(thm)],[f743,f176]) ).
fof(f2704,plain,
( op(e1,e4) != e4
| ~ spl0_126
| spl0_198 ),
inference(backward_demodulation,[status(thm)],[f2342,f1182]) ).
fof(f2705,plain,
( ~ spl0_49
| ~ spl0_126
| spl0_198 ),
inference(split_clause,[status(thm)],[f2704,f617,f864,f1180]) ).
fof(f2707,plain,
( spl0_109
| ~ spl0_126 ),
inference(split_clause,[status(thm)],[f2342,f809,f864]) ).
fof(f2709,plain,
( op(e1,e4) != e4
| ~ spl0_126
| spl0_195 ),
inference(backward_demodulation,[status(thm)],[f2343,f1171]) ).
fof(f2710,plain,
( ~ spl0_49
| ~ spl0_126
| spl0_195 ),
inference(split_clause,[status(thm)],[f2709,f617,f864,f1169]) ).
fof(f2711,plain,
( op(e4,e4) = e1
| ~ spl0_126
| ~ spl0_196 ),
inference(backward_demodulation,[status(thm)],[f2343,f1174]) ).
fof(f2712,plain,
( spl0_121
| ~ spl0_126
| ~ spl0_196 ),
inference(split_clause,[status(thm)],[f2711,f848,f864,f1173]) ).
fof(f2719,plain,
( op(e1,e3) != e3
| ~ spl0_126
| spl0_225 ),
inference(backward_demodulation,[status(thm)],[f2344,f1288]) ).
fof(f2720,plain,
( op(e0,e3) != e3
| ~ spl0_126 ),
inference(backward_demodulation,[status(thm)],[f2345,f125]) ).
fof(f2721,plain,
( e3 != op(e4,e3)
| ~ spl0_126 ),
inference(backward_demodulation,[status(thm)],[f2345,f131]) ).
fof(f2722,plain,
( ~ spl0_118
| ~ spl0_126 ),
inference(split_clause,[status(thm)],[f2721,f838,f864]) ).
fof(f2723,plain,
( $false
| spl0_225
| ~ spl0_126 ),
inference(forward_subsumption_resolution,[status(thm)],[f2345,f2719]) ).
fof(f2724,plain,
( spl0_225
| ~ spl0_126 ),
inference(contradiction_clause,[status(thm)],[f2723]) ).
fof(f2727,plain,
( e2 != op(e3,e2)
| ~ spl0_37 ),
inference(forward_demodulation,[status(thm)],[f580,f120]) ).
fof(f2729,plain,
( op(e1,e0) != e2
| ~ spl0_37 ),
inference(forward_demodulation,[status(thm)],[f580,f156]) ).
fof(f2736,plain,
( e1 != op(e2,e1)
| ~ spl0_31 ),
inference(forward_demodulation,[status(thm)],[f561,f109]) ).
fof(f2738,plain,
( e1 != op(e1,e3)
| ~ spl0_31 ),
inference(forward_demodulation,[status(thm)],[f561,f160]) ).
fof(f2744,plain,
( ~ spl0_53
| ~ spl0_73 ),
inference(split_clause,[status(thm)],[f1810,f630,f694]) ).
fof(f2748,plain,
( op(e1,e2) != e4
| ~ spl0_49 ),
inference(backward_demodulation,[status(thm)],[f618,f163]) ).
fof(f2750,plain,
( op(e1,e1) != e4
| ~ spl0_49 ),
inference(backward_demodulation,[status(thm)],[f618,f161]) ).
fof(f2751,plain,
( ~ spl0_34
| ~ spl0_49 ),
inference(split_clause,[status(thm)],[f2750,f569,f617]) ).
fof(f2759,plain,
( op(e3,e1) != e3
| ~ spl0_88 ),
inference(backward_demodulation,[status(thm)],[f743,f179]) ).
fof(f2766,plain,
( ~ spl0_85
| ~ spl0_80 ),
inference(split_clause,[status(thm)],[f1878,f733,f717]) ).
fof(f2769,plain,
( ~ spl0_79
| ~ spl0_19
| spl0_229 ),
inference(split_clause,[status(thm)],[f2402,f713,f521,f1301]) ).
fof(f2796,plain,
( spl0_104
| ~ spl0_125 ),
inference(split_clause,[status(thm)],[f1967,f793,f861]) ).
fof(f2797,plain,
( spl0_24
| ~ spl0_125 ),
inference(split_clause,[status(thm)],[f1968,f537,f861]) ).
fof(f2798,plain,
( spl0_78
| ~ spl0_125 ),
inference(split_clause,[status(thm)],[f1972,f710,f861]) ).
fof(f2799,plain,
( spl0_18
| ~ spl0_125 ),
inference(split_clause,[status(thm)],[f1973,f518,f861]) ).
fof(f2822,plain,
( op(e0,e2) != e0
| ~ spl0_85 ),
inference(backward_demodulation,[status(thm)],[f734,f117]) ).
fof(f2823,plain,
( ~ spl0_10
| ~ spl0_85 ),
inference(split_clause,[status(thm)],[f2822,f493,f733]) ).
fof(f2858,plain,
( $false
| ~ spl0_22
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f468,f2436]) ).
fof(f2859,plain,
( ~ spl0_22
| ~ spl0_2 ),
inference(contradiction_clause,[status(thm)],[f2858]) ).
fof(f2893,plain,
( e3 = e0
| ~ spl0_28
| ~ spl0_25 ),
inference(forward_demodulation,[status(thm)],[f551,f542]) ).
fof(f2894,plain,
( $false
| ~ spl0_28
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[status(thm)],[f2893,f197]) ).
fof(f2895,plain,
( ~ spl0_28
| ~ spl0_25 ),
inference(contradiction_clause,[status(thm)],[f2894]) ).
fof(f2906,plain,
( op(e4,e0) = e4
| ~ spl0_125 ),
inference(backward_demodulation,[status(thm)],[f862,f43]) ).
fof(f2907,plain,
( $false
| spl0_143
| ~ spl0_125 ),
inference(forward_subsumption_resolution,[status(thm)],[f2906,f2325]) ).
fof(f2908,plain,
( spl0_143
| ~ spl0_125 ),
inference(contradiction_clause,[status(thm)],[f2907]) ).
fof(f2911,plain,
( op(e0,e1) = e1
| ~ spl0_125 ),
inference(backward_demodulation,[status(thm)],[f862,f36]) ).
fof(f2912,plain,
( spl0_6
| ~ spl0_125 ),
inference(split_clause,[status(thm)],[f2911,f480,f861]) ).
fof(f2913,plain,
( op(e1,e0) = e1
| ~ spl0_125 ),
inference(backward_demodulation,[status(thm)],[f862,f37]) ).
fof(f2914,plain,
( spl0_26
| ~ spl0_125 ),
inference(split_clause,[status(thm)],[f2913,f544,f861]) ).
fof(f2915,plain,
( op(e0,e2) = e2
| ~ spl0_125 ),
inference(backward_demodulation,[status(thm)],[f862,f38]) ).
fof(f2916,plain,
( spl0_12
| ~ spl0_125 ),
inference(split_clause,[status(thm)],[f2915,f499,f861]) ).
fof(f2918,plain,
( op(e0,e4) = e4
| ~ spl0_125 ),
inference(backward_demodulation,[status(thm)],[f862,f42]) ).
fof(f2922,plain,
( ~ spl0_39
| ~ spl0_49 ),
inference(split_clause,[status(thm)],[f2748,f585,f617]) ).
fof(f2923,plain,
( e2 != op(e4,e0)
| ~ spl0_77 ),
inference(backward_demodulation,[status(thm)],[f708,f104]) ).
fof(f2924,plain,
( ~ spl0_102
| ~ spl0_77 ),
inference(split_clause,[status(thm)],[f2923,f787,f707]) ).
fof(f2925,plain,
( op(e3,e2) != e0
| ~ spl0_77
| spl0_148 ),
inference(backward_demodulation,[status(thm)],[f708,f996]) ).
fof(f2927,plain,
( spl0_14
| ~ spl0_22
| ~ spl0_208 ),
inference(split_clause,[status(thm)],[f2254,f505,f531,f1221]) ).
fof(f2928,plain,
( spl0_108
| ~ spl0_160 ),
inference(split_clause,[status(thm)],[f2138,f806,f1039]) ).
fof(f2929,plain,
( op(e1,e0) = e3
| ~ spl0_16
| ~ spl0_270 ),
inference(forward_demodulation,[status(thm)],[f513,f1463]) ).
fof(f2932,plain,
( e2 = e3
| ~ spl0_57
| ~ spl0_58 ),
inference(forward_demodulation,[status(thm)],[f644,f647]) ).
fof(f2933,plain,
( $false
| ~ spl0_57
| ~ spl0_58 ),
inference(forward_subsumption_resolution,[status(thm)],[f2932,f202]) ).
fof(f2934,plain,
( ~ spl0_57
| ~ spl0_58 ),
inference(contradiction_clause,[status(thm)],[f2933]) ).
fof(f2941,plain,
( ~ spl0_56
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f2736,f640,f560]) ).
fof(f2942,plain,
( ~ spl0_41
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f2738,f592,f560]) ).
fof(f2948,plain,
( op(e4,e1) != e4
| ~ spl0_119 ),
inference(backward_demodulation,[status(thm)],[f842,f190]) ).
fof(f2949,plain,
( ~ spl0_109
| ~ spl0_119 ),
inference(split_clause,[status(thm)],[f2948,f809,f841]) ).
fof(f2950,plain,
( op(e4,e0) != e4
| ~ spl0_119 ),
inference(backward_demodulation,[status(thm)],[f842,f187]) ).
fof(f2965,plain,
( e3 != e3
| ~ spl0_16
| ~ spl0_270
| spl0_28 ),
inference(forward_demodulation,[status(thm)],[f2929,f552]) ).
fof(f2966,plain,
( $false
| ~ spl0_16
| ~ spl0_270
| spl0_28 ),
inference(trivial_equality_resolution,[status(esa)],[f2965]) ).
fof(f2967,plain,
( ~ spl0_16
| ~ spl0_270
| spl0_28 ),
inference(contradiction_clause,[status(thm)],[f2966]) ).
fof(f2978,plain,
( spl0_1
| ~ spl0_25
| ~ spl0_185 ),
inference(split_clause,[status(thm)],[f1672,f464,f541,f1132]) ).
fof(f2979,plain,
( e1 = e3
| ~ spl0_31
| ~ spl0_33 ),
inference(forward_demodulation,[status(thm)],[f561,f567]) ).
fof(f2980,plain,
( $false
| ~ spl0_31
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[status(thm)],[f2979,f200]) ).
fof(f2981,plain,
( ~ spl0_31
| ~ spl0_33 ),
inference(contradiction_clause,[status(thm)],[f2980]) ).
fof(f2989,plain,
( op(e0,e3) = e4
| ~ spl0_229
| ~ spl0_79 ),
inference(forward_demodulation,[status(thm)],[f1302,f714]) ).
fof(f2996,plain,
( op(e1,e3) != e3
| ~ spl0_225
| ~ spl0_88 ),
inference(forward_demodulation,[status(thm)],[f1287,f2759]) ).
fof(f3002,plain,
( op(e1,e3) = e3
| ~ spl0_126 ),
inference(backward_demodulation,[status(thm)],[f865,f40]) ).
fof(f3003,plain,
( $false
| ~ spl0_225
| ~ spl0_88
| ~ spl0_126 ),
inference(forward_subsumption_resolution,[status(thm)],[f3002,f2996]) ).
fof(f3004,plain,
( ~ spl0_225
| ~ spl0_88
| ~ spl0_126 ),
inference(contradiction_clause,[status(thm)],[f3003]) ).
fof(f3005,plain,
( op(e3,e1) = e3
| ~ spl0_126 ),
inference(backward_demodulation,[status(thm)],[f865,f41]) ).
fof(f3006,plain,
( spl0_83
| ~ spl0_126 ),
inference(split_clause,[status(thm)],[f3005,f726,f864]) ).
fof(f3012,plain,
( op(e0,e1) = e0
| ~ spl0_126 ),
inference(backward_demodulation,[status(thm)],[f865,f35]) ).
fof(f3027,plain,
( ~ spl0_18
| ~ spl0_126 ),
inference(split_clause,[status(thm)],[f2720,f518,f864]) ).
fof(f3030,plain,
( ~ spl0_27
| ~ spl0_37 ),
inference(split_clause,[status(thm)],[f2729,f547,f579]) ).
fof(f3033,plain,
( ~ spl0_87
| ~ spl0_37 ),
inference(split_clause,[status(thm)],[f2727,f739,f579]) ).
fof(f3048,plain,
( op(e1,e3) != op(e3,e3)
| ~ spl0_225 ),
inference(backward_demodulation,[status(thm)],[f1287,f180]) ).
fof(f3049,plain,
( e3 != op(e3,e3)
| ~ spl0_126
| ~ spl0_225 ),
inference(forward_demodulation,[status(thm)],[f2345,f3048]) ).
fof(f3050,plain,
( e3 != e3
| ~ spl0_93
| ~ spl0_126
| ~ spl0_225 ),
inference(forward_demodulation,[status(thm)],[f759,f3049]) ).
fof(f3051,plain,
( $false
| ~ spl0_93
| ~ spl0_126
| ~ spl0_225 ),
inference(trivial_equality_resolution,[status(esa)],[f3050]) ).
fof(f3052,plain,
( ~ spl0_93
| ~ spl0_126
| ~ spl0_225 ),
inference(contradiction_clause,[status(thm)],[f3051]) ).
fof(f3061,plain,
( op(e4,e2) = e0
| ~ spl0_22
| ~ spl0_209 ),
inference(backward_demodulation,[status(thm)],[f532,f1226]) ).
fof(f3062,plain,
( spl0_110
| ~ spl0_22
| ~ spl0_209 ),
inference(split_clause,[status(thm)],[f3061,f813,f531,f1225]) ).
fof(f3077,plain,
( e1 != op(e4,e1)
| ~ spl0_31 ),
inference(backward_demodulation,[status(thm)],[f561,f111]) ).
fof(f3079,plain,
( op(e0,e1) != e1
| ~ spl0_31 ),
inference(backward_demodulation,[status(thm)],[f561,f105]) ).
fof(f3080,plain,
( ~ spl0_6
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f3079,f480,f560]) ).
fof(f3095,plain,
( e0 != op(e1,e0)
| ~ spl0_126
| spl0_262 ),
inference(forward_demodulation,[status(thm)],[f3012,f1432]) ).
fof(f3096,plain,
( e0 != e0
| ~ spl0_25
| ~ spl0_126
| spl0_262 ),
inference(forward_demodulation,[status(thm)],[f542,f3095]) ).
fof(f3097,plain,
( $false
| ~ spl0_25
| ~ spl0_126
| spl0_262 ),
inference(trivial_equality_resolution,[status(esa)],[f3096]) ).
fof(f3098,plain,
( ~ spl0_25
| ~ spl0_126
| spl0_262 ),
inference(contradiction_clause,[status(thm)],[f3097]) ).
fof(f3104,plain,
( $false
| ~ spl0_69 ),
inference(forward_subsumption_resolution,[status(thm)],[f682,f1768]) ).
fof(f3105,plain,
~ spl0_69,
inference(contradiction_clause,[status(thm)],[f3104]) ).
fof(f3106,plain,
( e3 != op(e3,e0)
| ~ spl0_3 ),
inference(backward_demodulation,[status(thm)],[f471,f97]) ).
fof(f3107,plain,
( ~ spl0_78
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f3106,f710,f470]) ).
fof(f3114,plain,
( e1 != op(e1,e2)
| ~ spl0_26 ),
inference(backward_demodulation,[status(thm)],[f545,f156]) ).
fof(f3115,plain,
( ~ spl0_36
| ~ spl0_26 ),
inference(split_clause,[status(thm)],[f3114,f576,f544]) ).
fof(f3120,plain,
( op(e0,e0) != e1
| ~ spl0_6 ),
inference(backward_demodulation,[status(thm)],[f481,f145]) ).
fof(f3127,plain,
( e1 = op(e4,e3)
| ~ spl0_162 ),
inference(forward_demodulation,[status(thm)],[f1760,f1047]) ).
fof(f3132,plain,
( op(e2,e0) != e2
| ~ spl0_52
| spl0_247 ),
inference(forward_demodulation,[status(thm)],[f628,f1373]) ).
fof(f3133,plain,
( e2 != e2
| ~ spl0_52
| spl0_247 ),
inference(forward_demodulation,[status(thm)],[f628,f3132]) ).
fof(f3134,plain,
( $false
| ~ spl0_52
| spl0_247 ),
inference(trivial_equality_resolution,[status(esa)],[f3133]) ).
fof(f3135,plain,
( ~ spl0_52
| spl0_247 ),
inference(contradiction_clause,[status(thm)],[f3134]) ).
fof(f3136,plain,
( ~ spl0_78
| ~ spl0_18
| spl0_229 ),
inference(split_clause,[status(thm)],[f2048,f710,f518,f1301]) ).
fof(f3159,plain,
( ~ spl0_78
| ~ spl0_88 ),
inference(split_clause,[status(thm)],[f2697,f710,f742]) ).
fof(f3160,plain,
( op(e3,e0) = e3
| ~ spl0_125 ),
inference(backward_demodulation,[status(thm)],[f862,f41]) ).
fof(f3162,plain,
( op(e2,e0) = e2
| ~ spl0_125 ),
inference(backward_demodulation,[status(thm)],[f862,f39]) ).
fof(f3163,plain,
( spl0_52
| ~ spl0_125 ),
inference(split_clause,[status(thm)],[f3162,f627,f861]) ).
fof(f3183,plain,
( e4 != op(e4,e0)
| ~ spl0_125
| spl0_211 ),
inference(forward_demodulation,[status(thm)],[f2918,f1234]) ).
fof(f3184,plain,
( e4 != e4
| ~ spl0_125
| spl0_211 ),
inference(forward_demodulation,[status(thm)],[f2906,f3183]) ).
fof(f3185,plain,
( $false
| ~ spl0_125
| spl0_211 ),
inference(trivial_equality_resolution,[status(esa)],[f3184]) ).
fof(f3186,plain,
( ~ spl0_125
| spl0_211 ),
inference(contradiction_clause,[status(thm)],[f3185]) ).
fof(f3201,plain,
( e1 != op(e2,e1)
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f481,f106]) ).
fof(f3206,plain,
( op(e2,e0) = e2
| ~ spl0_125 ),
inference(forward_demodulation,[status(thm)],[f862,f39]) ).
fof(f3213,plain,
( op(e0,e1) = e1
| ~ spl0_125 ),
inference(forward_demodulation,[status(thm)],[f862,f36]) ).
fof(f3224,plain,
( ~ spl0_14
| ~ spl0_24 ),
inference(split_clause,[status(thm)],[f2034,f505,f537]) ).
fof(f3229,plain,
( op(e3,e1) != e3
| ~ spl0_108 ),
inference(backward_demodulation,[status(thm)],[f807,f114]) ).
fof(f3230,plain,
( ~ spl0_83
| ~ spl0_108 ),
inference(split_clause,[status(thm)],[f3229,f726,f806]) ).
fof(f3236,plain,
( op(e4,e4) != e0
| ~ spl0_104
| spl0_131 ),
inference(backward_demodulation,[status(thm)],[f794,f932]) ).
fof(f3237,plain,
( ~ spl0_120
| ~ spl0_104
| spl0_131 ),
inference(split_clause,[status(thm)],[f3236,f845,f793,f930]) ).
fof(f3240,plain,
( op(e2,e0) != e4
| ~ spl0_104 ),
inference(backward_demodulation,[status(thm)],[f794,f103]) ).
fof(f3241,plain,
( ~ spl0_54
| ~ spl0_104 ),
inference(split_clause,[status(thm)],[f3240,f633,f793]) ).
fof(f3260,plain,
( op(e1,e0) != e1
| ~ spl0_6
| spl0_276 ),
inference(backward_demodulation,[status(thm)],[f481,f1488]) ).
fof(f3261,plain,
( ~ spl0_26
| ~ spl0_6
| spl0_276 ),
inference(split_clause,[status(thm)],[f3260,f544,f480,f1486]) ).
fof(f3266,plain,
( op(e0,e1) != e1
| ~ spl0_6
| spl0_202 ),
inference(forward_demodulation,[status(thm)],[f481,f1199]) ).
fof(f3267,plain,
( e1 != e1
| ~ spl0_6
| spl0_202 ),
inference(forward_demodulation,[status(thm)],[f481,f3266]) ).
fof(f3268,plain,
( $false
| ~ spl0_6
| spl0_202 ),
inference(trivial_equality_resolution,[status(esa)],[f3267]) ).
fof(f3269,plain,
( ~ spl0_6
| spl0_202 ),
inference(contradiction_clause,[status(thm)],[f3268]) ).
fof(f3270,plain,
( op(e3,e4) != e1
| ~ spl0_108
| spl0_200 ),
inference(forward_demodulation,[status(thm)],[f807,f1190]) ).
fof(f3271,plain,
( e1 != e1
| ~ spl0_108
| spl0_200 ),
inference(forward_demodulation,[status(thm)],[f1760,f3270]) ).
fof(f3272,plain,
( $false
| ~ spl0_108
| spl0_200 ),
inference(trivial_equality_resolution,[status(esa)],[f3271]) ).
fof(f3273,plain,
( ~ spl0_108
| spl0_200 ),
inference(contradiction_clause,[status(thm)],[f3272]) ).
fof(f3274,plain,
( op(e4,e4) != e0
| ~ spl0_104
| spl0_213 ),
inference(backward_demodulation,[status(thm)],[f794,f1242]) ).
fof(f3275,plain,
( ~ spl0_120
| ~ spl0_104
| spl0_213 ),
inference(split_clause,[status(thm)],[f3274,f845,f793,f1240]) ).
fof(f3297,plain,
( e2 = e0
| ~ spl0_12
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f500,f494]) ).
fof(f3298,plain,
( $false
| ~ spl0_12
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f3297,f196]) ).
fof(f3299,plain,
( ~ spl0_12
| ~ spl0_10 ),
inference(contradiction_clause,[status(thm)],[f3298]) ).
fof(f3307,plain,
( op(e1,e2) != e2
| ~ spl0_47 ),
inference(forward_demodulation,[status(thm)],[f612,f163]) ).
fof(f3313,plain,
( ~ spl0_1
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f3120,f464,f480]) ).
fof(f3314,plain,
( op(e2,e2) = e0
| ~ spl0_12
| ~ spl0_272 ),
inference(forward_demodulation,[status(thm)],[f500,f1471]) ).
fof(f3315,plain,
( e4 = e0
| ~ spl0_12
| ~ spl0_272 ),
inference(forward_demodulation,[status(thm)],[f208,f3314]) ).
fof(f3316,plain,
( $false
| ~ spl0_12
| ~ spl0_272 ),
inference(forward_subsumption_resolution,[status(thm)],[f3315,f198]) ).
fof(f3317,plain,
( ~ spl0_12
| ~ spl0_272 ),
inference(contradiction_clause,[status(thm)],[f3316]) ).
fof(f3327,plain,
( op(e4,e2) != e1
| ~ spl0_47
| spl0_196 ),
inference(forward_demodulation,[status(thm)],[f612,f1175]) ).
fof(f3335,plain,
( e2 != op(e3,e2)
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f500,f117]) ).
fof(f3336,plain,
( op(e0,e2) != e2
| ~ spl0_52
| spl0_246 ),
inference(backward_demodulation,[status(thm)],[f628,f1369]) ).
fof(f3337,plain,
( ~ spl0_12
| ~ spl0_52
| spl0_246 ),
inference(split_clause,[status(thm)],[f3336,f499,f627,f1367]) ).
fof(f3349,plain,
( ~ spl0_104
| ~ spl0_119 ),
inference(split_clause,[status(thm)],[f2950,f793,f841]) ).
fof(f3423,plain,
( op(e4,e4) != e0
| ~ spl0_24
| spl0_209 ),
inference(forward_demodulation,[status(thm)],[f538,f1227]) ).
fof(f3424,plain,
( e0 != e0
| ~ spl0_24
| spl0_209 ),
inference(forward_demodulation,[status(thm)],[f1766,f3423]) ).
fof(f3425,plain,
( $false
| ~ spl0_24
| spl0_209 ),
inference(trivial_equality_resolution,[status(esa)],[f3424]) ).
fof(f3426,plain,
( ~ spl0_24
| spl0_209 ),
inference(contradiction_clause,[status(thm)],[f3425]) ).
fof(f3433,plain,
( op(e2,e2) = e2
| ~ spl0_127 ),
inference(backward_demodulation,[status(thm)],[f868,f38]) ).
fof(f3434,plain,
( spl0_62
| ~ spl0_127 ),
inference(split_clause,[status(thm)],[f3433,f659,f867]) ).
fof(f3452,plain,
( op(e0,e1) != e2
| ~ spl0_57 ),
inference(backward_demodulation,[status(thm)],[f644,f106]) ).
fof(f3455,plain,
( e2 != op(e2,e3)
| ~ spl0_57 ),
inference(backward_demodulation,[status(thm)],[f644,f170]) ).
fof(f3459,plain,
( e2 != op(e4,e1)
| ~ spl0_57 ),
inference(backward_demodulation,[status(thm)],[f644,f113]) ).
fof(f3461,plain,
( op(e1,e1) != e2
| ~ spl0_47 ),
inference(forward_demodulation,[status(thm)],[f612,f161]) ).
fof(f3493,plain,
( ~ spl0_87
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f3335,f739,f499]) ).
fof(f3512,plain,
( e0 = e1
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f478,f481]) ).
fof(f3513,plain,
( $false
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f3512,f195]) ).
fof(f3514,plain,
( ~ spl0_5
| ~ spl0_6 ),
inference(contradiction_clause,[status(thm)],[f3513]) ).
fof(f3520,plain,
( $false
| ~ spl0_81 ),
inference(forward_subsumption_resolution,[status(thm)],[f721,f2045]) ).
fof(f3521,plain,
~ spl0_81,
inference(contradiction_clause,[status(thm)],[f3520]) ).
fof(f3528,plain,
( ~ spl0_13
| ~ spl0_18 ),
inference(split_clause,[status(thm)],[f2105,f502,f518]) ).
fof(f3529,plain,
( op(e0,e3) = e3
| ~ spl0_18
| ~ spl0_206 ),
inference(backward_demodulation,[status(thm)],[f519,f1214]) ).
fof(f3537,plain,
( op(e0,e1) != e1
| ~ spl0_26
| spl0_185 ),
inference(backward_demodulation,[status(thm)],[f545,f1134]) ).
fof(f3538,plain,
( ~ spl0_6
| ~ spl0_26
| spl0_185 ),
inference(split_clause,[status(thm)],[f3537,f480,f544,f1132]) ).
fof(f3552,plain,
( op(e4,e2) = e1
| ~ spl0_47
| ~ spl0_196 ),
inference(forward_demodulation,[status(thm)],[f612,f1174]) ).
fof(f3562,plain,
( e1 = e0
| ~ spl0_66
| ~ spl0_65 ),
inference(forward_demodulation,[status(thm)],[f673,f670]) ).
fof(f3563,plain,
( $false
| ~ spl0_66
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[status(thm)],[f3562,f195]) ).
fof(f3564,plain,
( ~ spl0_66
| ~ spl0_65 ),
inference(contradiction_clause,[status(thm)],[f3563]) ).
fof(f3565,plain,
( ~ spl0_85
| ~ spl0_65
| spl0_221 ),
inference(split_clause,[status(thm)],[f1870,f733,f669,f1271]) ).
fof(f3649,plain,
( op(e0,e3) != e3
| ~ spl0_118 ),
inference(backward_demodulation,[status(thm)],[f839,f128]) ).
fof(f3650,plain,
( ~ spl0_18
| ~ spl0_118 ),
inference(split_clause,[status(thm)],[f3649,f518,f838]) ).
fof(f3656,plain,
( op(e3,e0) != e3
| ~ spl0_18
| ~ spl0_206
| spl0_270 ),
inference(forward_demodulation,[status(thm)],[f3529,f1464]) ).
fof(f3657,plain,
( e3 != e3
| ~ spl0_125
| ~ spl0_18
| ~ spl0_206
| spl0_270 ),
inference(forward_demodulation,[status(thm)],[f3160,f3656]) ).
fof(f3658,plain,
( $false
| ~ spl0_125
| ~ spl0_18
| ~ spl0_206
| spl0_270 ),
inference(trivial_equality_resolution,[status(esa)],[f3657]) ).
fof(f3659,plain,
( ~ spl0_125
| ~ spl0_18
| ~ spl0_206
| spl0_270 ),
inference(contradiction_clause,[status(thm)],[f3658]) ).
fof(f3686,plain,
( e1 != op(e1,e3)
| ~ spl0_26 ),
inference(backward_demodulation,[status(thm)],[f545,f157]) ).
fof(f3697,plain,
( op(e0,e0) != e2
| ~ spl0_12 ),
inference(backward_demodulation,[status(thm)],[f500,f146]) ).
fof(f3715,plain,
( ~ spl0_32
| ~ spl0_47 ),
inference(split_clause,[status(thm)],[f3461,f563,f611]) ).
fof(f3718,plain,
( op(e0,e1) = e1
| ~ spl0_26
| ~ spl0_185 ),
inference(forward_demodulation,[status(thm)],[f545,f1133]) ).
fof(f3761,plain,
( op(e0,e1) != e4
| ~ spl0_125 ),
inference(backward_demodulation,[status(thm)],[f2918,f151]) ).
fof(f3762,plain,
( ~ spl0_9
| ~ spl0_125 ),
inference(split_clause,[status(thm)],[f3761,f489,f861]) ).
fof(f3796,plain,
( op(e4,e0) != e2
| ~ spl0_117 ),
inference(backward_demodulation,[status(thm)],[f836,f187]) ).
fof(f3806,plain,
( op(e3,e2) = e4
| ~ spl0_117
| ~ spl0_141 ),
inference(backward_demodulation,[status(thm)],[f836,f968]) ).
fof(f3807,plain,
( spl0_89
| ~ spl0_117
| ~ spl0_141 ),
inference(split_clause,[status(thm)],[f3806,f745,f835,f967]) ).
fof(f3869,plain,
( op(e1,e3) = e4
| ~ spl0_108
| ~ spl0_135 ),
inference(forward_demodulation,[status(thm)],[f807,f946]) ).
fof(f3910,plain,
( op(e1,e4) != e2
| ~ spl0_47
| ~ spl0_196
| spl0_182 ),
inference(forward_demodulation,[status(thm)],[f3552,f1123]) ).
fof(f3911,plain,
( e2 != e2
| ~ spl0_47
| ~ spl0_196
| spl0_182 ),
inference(forward_demodulation,[status(thm)],[f612,f3910]) ).
fof(f3912,plain,
( $false
| ~ spl0_47
| ~ spl0_196
| spl0_182 ),
inference(trivial_equality_resolution,[status(esa)],[f3911]) ).
fof(f3913,plain,
( ~ spl0_47
| ~ spl0_196
| spl0_182 ),
inference(contradiction_clause,[status(thm)],[f3912]) ).
fof(f3918,plain,
( op(e3,e1) != e2
| ~ spl0_38
| spl0_257 ),
inference(forward_demodulation,[status(thm)],[f583,f1413]) ).
fof(f3919,plain,
( e2 != e2
| ~ spl0_82
| ~ spl0_38
| spl0_257 ),
inference(forward_demodulation,[status(thm)],[f724,f3918]) ).
fof(f3920,plain,
( $false
| ~ spl0_82
| ~ spl0_38
| spl0_257 ),
inference(trivial_equality_resolution,[status(esa)],[f3919]) ).
fof(f3921,plain,
( ~ spl0_82
| ~ spl0_38
| spl0_257 ),
inference(contradiction_clause,[status(thm)],[f3920]) ).
fof(f3928,plain,
( op(e0,e2) != e2
| ~ spl0_125
| spl0_167 ),
inference(forward_demodulation,[status(thm)],[f3206,f1067]) ).
fof(f3929,plain,
( e2 != e2
| ~ spl0_12
| ~ spl0_125
| spl0_167 ),
inference(forward_demodulation,[status(thm)],[f500,f3928]) ).
fof(f3930,plain,
( $false
| ~ spl0_12
| ~ spl0_125
| spl0_167 ),
inference(trivial_equality_resolution,[status(esa)],[f3929]) ).
fof(f3931,plain,
( ~ spl0_12
| ~ spl0_125
| spl0_167 ),
inference(contradiction_clause,[status(thm)],[f3930]) ).
fof(f3934,plain,
( e3 != op(e3,e0)
| ~ spl0_28 ),
inference(backward_demodulation,[status(thm)],[f551,f100]) ).
fof(f3935,plain,
( ~ spl0_78
| ~ spl0_28 ),
inference(split_clause,[status(thm)],[f3934,f710,f550]) ).
fof(f3945,plain,
( ~ spl0_2
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f3697,f467,f499]) ).
fof(f3969,plain,
( e3 = e0
| ~ spl0_38
| ~ spl0_35 ),
inference(forward_demodulation,[status(thm)],[f583,f574]) ).
fof(f3970,plain,
( $false
| ~ spl0_38
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[status(thm)],[f3969,f197]) ).
fof(f3971,plain,
( ~ spl0_38
| ~ spl0_35 ),
inference(contradiction_clause,[status(thm)],[f3970]) ).
fof(f3980,plain,
( e3 = e0
| ~ spl0_18
| ~ spl0_206
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f3529,f510]) ).
fof(f3981,plain,
( $false
| ~ spl0_18
| ~ spl0_206
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f3980,f197]) ).
fof(f3982,plain,
( ~ spl0_18
| ~ spl0_206
| ~ spl0_15 ),
inference(contradiction_clause,[status(thm)],[f3981]) ).
fof(f3990,plain,
( e3 = op(e4,e2)
| ~ spl0_180 ),
inference(forward_demodulation,[status(thm)],[f1761,f1114]) ).
fof(f3991,plain,
( e3 = e1
| ~ spl0_47
| ~ spl0_196
| ~ spl0_180 ),
inference(forward_demodulation,[status(thm)],[f3552,f3990]) ).
fof(f3992,plain,
( $false
| ~ spl0_47
| ~ spl0_196
| ~ spl0_180 ),
inference(forward_subsumption_resolution,[status(thm)],[f3991,f200]) ).
fof(f3993,plain,
( ~ spl0_47
| ~ spl0_196
| ~ spl0_180 ),
inference(contradiction_clause,[status(thm)],[f3992]) ).
fof(f4001,plain,
( e1 = e3
| ~ spl0_125
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f3213,f487]) ).
fof(f4002,plain,
( $false
| ~ spl0_125
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f4001,f200]) ).
fof(f4003,plain,
( ~ spl0_125
| ~ spl0_8 ),
inference(contradiction_clause,[status(thm)],[f4002]) ).
fof(f4004,plain,
( op(e2,e2) = e0
| ~ spl0_12
| ~ spl0_205 ),
inference(forward_demodulation,[status(thm)],[f500,f1210]) ).
fof(f4005,plain,
( e4 = e0
| ~ spl0_12
| ~ spl0_205 ),
inference(forward_demodulation,[status(thm)],[f208,f4004]) ).
fof(f4006,plain,
( $false
| ~ spl0_12
| ~ spl0_205 ),
inference(forward_subsumption_resolution,[status(thm)],[f4005,f198]) ).
fof(f4007,plain,
( ~ spl0_12
| ~ spl0_205 ),
inference(contradiction_clause,[status(thm)],[f4006]) ).
fof(f4022,plain,
( op(e0,e1) != e1
| ~ spl0_106 ),
inference(backward_demodulation,[status(thm)],[f801,f108]) ).
fof(f4023,plain,
( ~ spl0_6
| ~ spl0_106 ),
inference(split_clause,[status(thm)],[f4022,f480,f800]) ).
fof(f4034,plain,
( ~ spl0_56
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f3201,f640,f480]) ).
fof(f4039,plain,
( $false
| ~ spl0_26
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[status(thm)],[f593,f3686]) ).
fof(f4040,plain,
( ~ spl0_26
| ~ spl0_41 ),
inference(contradiction_clause,[status(thm)],[f4039]) ).
fof(f4048,plain,
( ~ spl0_111
| ~ spl0_47
| spl0_196 ),
inference(split_clause,[status(thm)],[f3327,f816,f611,f1173]) ).
fof(f4049,plain,
( op(e4,e3) = e2
| ~ spl0_178 ),
inference(forward_demodulation,[status(thm)],[f1761,f1107]) ).
fof(f4061,plain,
( e4 = e2
| ~ spl0_94
| ~ spl0_92 ),
inference(forward_demodulation,[status(thm)],[f762,f756]) ).
fof(f4062,plain,
( $false
| ~ spl0_94
| ~ spl0_92 ),
inference(forward_subsumption_resolution,[status(thm)],[f4061,f203]) ).
fof(f4063,plain,
( ~ spl0_94
| ~ spl0_92 ),
inference(contradiction_clause,[status(thm)],[f4062]) ).
fof(f4064,plain,
( ~ spl0_107
| ~ spl0_57 ),
inference(split_clause,[status(thm)],[f3459,f803,f643]) ).
fof(f4070,plain,
( ~ spl0_67
| ~ spl0_57 ),
inference(split_clause,[status(thm)],[f3455,f675,f643]) ).
fof(f4081,plain,
( op(e0,e1) != e0
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f510,f150]) ).
fof(f4085,plain,
( ~ spl0_106
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f3077,f800,f560]) ).
fof(f4143,plain,
( ~ spl0_37
| ~ spl0_47 ),
inference(split_clause,[status(thm)],[f3307,f579,f611]) ).
fof(f4152,plain,
( $false
| ~ spl0_15
| ~ spl0_126 ),
inference(forward_subsumption_resolution,[status(thm)],[f3012,f4081]) ).
fof(f4153,plain,
( ~ spl0_15
| ~ spl0_126 ),
inference(contradiction_clause,[status(thm)],[f4152]) ).
fof(f4206,plain,
( op(e2,e1) = e4
| ~ spl0_111
| ~ spl0_138 ),
inference(backward_demodulation,[status(thm)],[f817,f957]) ).
fof(f4207,plain,
( spl0_59
| ~ spl0_111
| ~ spl0_138 ),
inference(split_clause,[status(thm)],[f4206,f649,f816,f956]) ).
fof(f4255,plain,
( ~ spl0_66
| ~ spl0_82
| spl0_227 ),
inference(split_clause,[status(thm)],[f2574,f672,f723,f1294]) ).
fof(f4290,plain,
( spl0_76
| ~ spl0_40
| ~ spl0_193 ),
inference(split_clause,[status(thm)],[f1728,f704,f589,f1162]) ).
fof(f4375,plain,
( op(e1,e0) = e2
| ~ spl0_55
| ~ spl0_170 ),
inference(forward_demodulation,[status(thm)],[f638,f1077]) ).
fof(f4376,plain,
( e1 = e2
| ~ spl0_26
| ~ spl0_55
| ~ spl0_170 ),
inference(forward_demodulation,[status(thm)],[f545,f4375]) ).
fof(f4377,plain,
( $false
| ~ spl0_26
| ~ spl0_55
| ~ spl0_170 ),
inference(forward_subsumption_resolution,[status(thm)],[f4376,f199]) ).
fof(f4378,plain,
( ~ spl0_26
| ~ spl0_55
| ~ spl0_170 ),
inference(contradiction_clause,[status(thm)],[f4377]) ).
fof(f4451,plain,
( op(e4,e0) != e1
| ~ spl0_111 ),
inference(backward_demodulation,[status(thm)],[f817,f186]) ).
fof(f4568,plain,
( e1 != op(e1,e0)
| ~ spl0_26
| ~ spl0_185
| spl0_262 ),
inference(forward_demodulation,[status(thm)],[f3718,f1432]) ).
fof(f4569,plain,
( e1 != e1
| ~ spl0_26
| ~ spl0_185
| spl0_262 ),
inference(forward_demodulation,[status(thm)],[f545,f4568]) ).
fof(f4570,plain,
( $false
| ~ spl0_26
| ~ spl0_185
| spl0_262 ),
inference(trivial_equality_resolution,[status(esa)],[f4569]) ).
fof(f4571,plain,
( ~ spl0_26
| ~ spl0_185
| spl0_262 ),
inference(contradiction_clause,[status(thm)],[f4570]) ).
fof(f4595,plain,
( op(e0,e3) = e1
| ~ spl0_40
| ~ spl0_253 ),
inference(forward_demodulation,[status(thm)],[f590,f1396]) ).
fof(f4596,plain,
( e3 = e1
| ~ spl0_18
| ~ spl0_206
| ~ spl0_40
| ~ spl0_253 ),
inference(forward_demodulation,[status(thm)],[f3529,f4595]) ).
fof(f4597,plain,
( $false
| ~ spl0_18
| ~ spl0_206
| ~ spl0_40
| ~ spl0_253 ),
inference(forward_subsumption_resolution,[status(thm)],[f4596,f200]) ).
fof(f4598,plain,
( ~ spl0_18
| ~ spl0_206
| ~ spl0_40
| ~ spl0_253 ),
inference(contradiction_clause,[status(thm)],[f4597]) ).
fof(f4613,plain,
( op(e2,e4) = e1
| ~ spl0_47
| ~ spl0_250 ),
inference(forward_demodulation,[status(thm)],[f612,f1384]) ).
fof(f4614,plain,
( e3 = e1
| ~ spl0_47
| ~ spl0_250 ),
inference(forward_demodulation,[status(thm)],[f1761,f4613]) ).
fof(f4615,plain,
( $false
| ~ spl0_47
| ~ spl0_250 ),
inference(forward_subsumption_resolution,[status(thm)],[f4614,f200]) ).
fof(f4616,plain,
( ~ spl0_47
| ~ spl0_250 ),
inference(contradiction_clause,[status(thm)],[f4615]) ).
fof(f4621,plain,
( spl0_7
| ~ spl0_55
| ~ spl0_243 ),
inference(split_clause,[status(thm)],[f1707,f483,f637,f1356]) ).
fof(f4631,plain,
( e0 = e2
| ~ spl0_40
| ~ spl0_66
| ~ spl0_236 ),
inference(forward_demodulation,[status(thm)],[f590,f2071]) ).
fof(f4632,plain,
( $false
| ~ spl0_40
| ~ spl0_66
| ~ spl0_236 ),
inference(forward_subsumption_resolution,[status(thm)],[f4631,f196]) ).
fof(f4633,plain,
( ~ spl0_40
| ~ spl0_66
| ~ spl0_236 ),
inference(contradiction_clause,[status(thm)],[f4632]) ).
fof(f4637,plain,
( op(e3,e4) = e2
| ~ spl0_233 ),
inference(forward_demodulation,[status(thm)],[f1761,f1318]) ).
fof(f4638,plain,
( e1 = e2
| ~ spl0_233 ),
inference(forward_demodulation,[status(thm)],[f1760,f4637]) ).
fof(f4639,plain,
( $false
| ~ spl0_233 ),
inference(forward_subsumption_resolution,[status(thm)],[f4638,f199]) ).
fof(f4640,plain,
~ spl0_233,
inference(contradiction_clause,[status(thm)],[f4639]) ).
fof(f4646,plain,
( e0 = e4
| ~ spl0_40
| ~ spl0_108
| ~ spl0_135 ),
inference(forward_demodulation,[status(thm)],[f590,f3869]) ).
fof(f4647,plain,
( $false
| ~ spl0_40
| ~ spl0_108
| ~ spl0_135 ),
inference(forward_subsumption_resolution,[status(thm)],[f4646,f198]) ).
fof(f4648,plain,
( ~ spl0_40
| ~ spl0_108
| ~ spl0_135 ),
inference(contradiction_clause,[status(thm)],[f4647]) ).
fof(f4661,plain,
( ~ spl0_7
| ~ spl0_57 ),
inference(split_clause,[status(thm)],[f3452,f483,f643]) ).
fof(f4671,plain,
( ~ spl0_112
| ~ spl0_37 ),
inference(split_clause,[status(thm)],[f2433,f819,f579]) ).
fof(f4675,plain,
( op(e2,e3) != e0
| ~ spl0_13
| spl0_205 ),
inference(backward_demodulation,[status(thm)],[f503,f1211]) ).
fof(f4676,plain,
( ~ spl0_65
| ~ spl0_13
| spl0_205 ),
inference(split_clause,[status(thm)],[f4675,f669,f502,f1209]) ).
fof(f4679,plain,
( spl0_53
| ~ spl0_85
| ~ spl0_155 ),
inference(split_clause,[status(thm)],[f1744,f630,f733,f1020]) ).
fof(f4697,plain,
( op(e0,op(e0,e1)) != e1
| ~ spl0_262
| spl0_185 ),
inference(forward_demodulation,[status(thm)],[f1431,f1134]) ).
fof(f4698,plain,
( e1 != e1
| ~ spl0_202
| ~ spl0_262
| spl0_185 ),
inference(forward_demodulation,[status(thm)],[f1198,f4697]) ).
fof(f4699,plain,
( $false
| ~ spl0_202
| ~ spl0_262
| spl0_185 ),
inference(trivial_equality_resolution,[status(esa)],[f4698]) ).
fof(f4700,plain,
( ~ spl0_202
| ~ spl0_262
| spl0_185 ),
inference(contradiction_clause,[status(thm)],[f4699]) ).
fof(f4733,plain,
( op(e0,e1) = e0
| ~ spl0_262
| ~ spl0_25 ),
inference(forward_demodulation,[status(thm)],[f1431,f542]) ).
fof(f4750,plain,
( op(e0,e1) != op(e4,e0)
| ~ spl0_262 ),
inference(forward_demodulation,[status(thm)],[f1431,f101]) ).
fof(f4751,plain,
( e0 != op(e4,e0)
| ~ spl0_25
| ~ spl0_262 ),
inference(forward_demodulation,[status(thm)],[f4733,f4750]) ).
fof(f4781,plain,
( op(e4,e4) = e1
| ~ spl0_109
| ~ spl0_200 ),
inference(forward_demodulation,[status(thm)],[f810,f1189]) ).
fof(f4782,plain,
( e0 = e1
| ~ spl0_109
| ~ spl0_200 ),
inference(forward_demodulation,[status(thm)],[f1766,f4781]) ).
fof(f4783,plain,
( $false
| ~ spl0_109
| ~ spl0_200 ),
inference(forward_subsumption_resolution,[status(thm)],[f4782,f195]) ).
fof(f4784,plain,
( ~ spl0_109
| ~ spl0_200 ),
inference(contradiction_clause,[status(thm)],[f4783]) ).
fof(f4786,plain,
( op(e2,e1) != e2
| ~ spl0_57
| spl0_243 ),
inference(forward_demodulation,[status(thm)],[f644,f1358]) ).
fof(f4787,plain,
( e2 != e2
| ~ spl0_57
| spl0_243 ),
inference(forward_demodulation,[status(thm)],[f644,f4786]) ).
fof(f4788,plain,
( $false
| ~ spl0_57
| spl0_243 ),
inference(trivial_equality_resolution,[status(esa)],[f4787]) ).
fof(f4789,plain,
( ~ spl0_57
| spl0_243 ),
inference(contradiction_clause,[status(thm)],[f4788]) ).
fof(f4851,plain,
( op(e0,e1) = e0
| ~ spl0_126 ),
inference(backward_demodulation,[status(thm)],[f865,f35]) ).
fof(f4852,plain,
( op(e1,e0) = e0
| ~ spl0_126 ),
inference(backward_demodulation,[status(thm)],[f865,f34]) ).
fof(f4853,plain,
( spl0_25
| ~ spl0_126 ),
inference(split_clause,[status(thm)],[f4852,f541,f864]) ).
fof(f4888,plain,
( ~ spl0_1
| ~ spl0_51 ),
inference(split_clause,[status(thm)],[f2541,f464,f624]) ).
fof(f4906,plain,
( op(e0,e3) != e1
| ~ spl0_162 ),
inference(backward_demodulation,[status(thm)],[f3127,f128]) ).
fof(f4907,plain,
( ~ spl0_16
| ~ spl0_162 ),
inference(split_clause,[status(thm)],[f4906,f512,f1046]) ).
fof(f4908,plain,
( op(e4,e2) != e1
| ~ spl0_162 ),
inference(backward_demodulation,[status(thm)],[f3127,f192]) ).
fof(f4909,plain,
( ~ spl0_111
| ~ spl0_162 ),
inference(split_clause,[status(thm)],[f4908,f816,f1046]) ).
fof(f4934,plain,
( op(e0,e0) != e1
| ~ spl0_51 ),
inference(forward_demodulation,[status(thm)],[f625,f96]) ).
fof(f4936,plain,
( op(e0,e1) = e2
| ~ spl0_51
| ~ spl0_167 ),
inference(forward_demodulation,[status(thm)],[f625,f1066]) ).
fof(f4937,plain,
( e0 = e2
| ~ spl0_126
| ~ spl0_51
| ~ spl0_167 ),
inference(forward_demodulation,[status(thm)],[f4851,f4936]) ).
fof(f4938,plain,
( $false
| ~ spl0_126
| ~ spl0_51
| ~ spl0_167 ),
inference(forward_subsumption_resolution,[status(thm)],[f4937,f196]) ).
fof(f4939,plain,
( ~ spl0_126
| ~ spl0_51
| ~ spl0_167 ),
inference(contradiction_clause,[status(thm)],[f4938]) ).
fof(f4975,plain,
( ~ spl0_101
| ~ spl0_111 ),
inference(split_clause,[status(thm)],[f4451,f784,f816]) ).
fof(f4995,plain,
( op(e1,e4) = e2
| ~ spl0_111
| ~ spl0_182 ),
inference(forward_demodulation,[status(thm)],[f817,f1122]) ).
fof(f4996,plain,
( e4 = e2
| ~ spl0_49
| ~ spl0_111
| ~ spl0_182 ),
inference(forward_demodulation,[status(thm)],[f618,f4995]) ).
fof(f4997,plain,
( $false
| ~ spl0_49
| ~ spl0_111
| ~ spl0_182 ),
inference(forward_subsumption_resolution,[status(thm)],[f4996,f203]) ).
fof(f4998,plain,
( ~ spl0_49
| ~ spl0_111
| ~ spl0_182 ),
inference(contradiction_clause,[status(thm)],[f4997]) ).
fof(f5051,plain,
( op(e0,e0) = e1
| ~ spl0_126
| ~ spl0_276 ),
inference(forward_demodulation,[status(thm)],[f4851,f1487]) ).
fof(f5052,plain,
( $false
| ~ spl0_51
| ~ spl0_126
| ~ spl0_276 ),
inference(forward_subsumption_resolution,[status(thm)],[f5051,f4934]) ).
fof(f5053,plain,
( ~ spl0_51
| ~ spl0_126
| ~ spl0_276 ),
inference(contradiction_clause,[status(thm)],[f5052]) ).
fof(f5105,plain,
( op(e1,e0) = e0
| ~ spl0_126 ),
inference(backward_demodulation,[status(thm)],[f865,f34]) ).
fof(f5141,plain,
( ~ spl0_100
| ~ spl0_25
| ~ spl0_262 ),
inference(split_clause,[status(thm)],[f4751,f781,f541,f1430]) ).
fof(f5142,plain,
( op(e1,e0) = e2
| ~ spl0_51
| ~ spl0_247 ),
inference(forward_demodulation,[status(thm)],[f625,f1372]) ).
fof(f5143,plain,
( e0 = e2
| ~ spl0_126
| ~ spl0_51
| ~ spl0_247 ),
inference(forward_demodulation,[status(thm)],[f5105,f5142]) ).
fof(f5144,plain,
( $false
| ~ spl0_126
| ~ spl0_51
| ~ spl0_247 ),
inference(forward_subsumption_resolution,[status(thm)],[f5143,f196]) ).
fof(f5145,plain,
( ~ spl0_126
| ~ spl0_51
| ~ spl0_247 ),
inference(contradiction_clause,[status(thm)],[f5144]) ).
fof(f5148,plain,
( spl0_48
| ~ spl0_215 ),
inference(split_clause,[status(thm)],[f1948,f614,f1248]) ).
fof(f5192,plain,
( op(e4,e0) != e2
| ~ spl0_178 ),
inference(forward_demodulation,[status(thm)],[f4049,f187]) ).
fof(f5193,plain,
( ~ spl0_102
| ~ spl0_178 ),
inference(split_clause,[status(thm)],[f5192,f787,f1106]) ).
fof(f5194,plain,
( ~ spl0_102
| ~ spl0_117 ),
inference(split_clause,[status(thm)],[f3796,f787,f835]) ).
fof(f5204,plain,
( e1 = e4
| ~ spl0_16
| ~ spl0_229
| ~ spl0_79 ),
inference(forward_demodulation,[status(thm)],[f513,f2989]) ).
fof(f5205,plain,
( $false
| ~ spl0_16
| ~ spl0_229
| ~ spl0_79 ),
inference(forward_subsumption_resolution,[status(thm)],[f5204,f201]) ).
fof(f5206,plain,
( ~ spl0_16
| ~ spl0_229
| ~ spl0_79 ),
inference(contradiction_clause,[status(thm)],[f5205]) ).
fof(f5228,plain,
( spl0_19
| ~ spl0_103
| ~ spl0_132 ),
inference(split_clause,[status(thm)],[f2145,f521,f790,f934]) ).
fof(f5296,plain,
( ~ spl0_85
| ~ spl0_77
| spl0_148 ),
inference(split_clause,[status(thm)],[f2925,f733,f707,f994]) ).
fof(f5318,plain,
( e2 = e4
| ~ spl0_77
| ~ spl0_79 ),
inference(forward_demodulation,[status(thm)],[f708,f714]) ).
fof(f5319,plain,
( $false
| ~ spl0_77
| ~ spl0_79 ),
inference(forward_subsumption_resolution,[status(thm)],[f5318,f203]) ).
fof(f5320,plain,
( ~ spl0_77
| ~ spl0_79 ),
inference(contradiction_clause,[status(thm)],[f5319]) ).
fof(f5321,plain,
$false,
inference(sat_refutation,[status(thm)],[f524,f620,f652,f668,f700,f732,f748,f796,f828,f844,f860,f876,f877,f879,f882,f883,f892,f896,f897,f898,f899,f900,f901,f904,f908,f910,f911,f914,f915,f920,f921,f922,f923,f933,f937,f948,f959,f970,f977,f978,f985,f997,f1008,f1023,f1042,f1049,f1057,f1068,f1079,f1109,f1116,f1120,f1135,f1142,f1143,f1165,f1172,f1183,f1191,f1195,f1196,f1200,f1212,f1216,f1224,f1228,f1235,f1243,f1251,f1262,f1274,f1278,f1289,f1297,f1304,f1316,f1320,f1328,f1332,f1343,f1355,f1359,f1363,f1370,f1382,f1386,f1394,f1398,f1406,f1410,f1414,f1421,f1433,f1445,f1449,f1457,f1469,f1473,f1481,f1489,f1493,f1500,f1502,f1506,f1508,f1510,f1525,f1534,f1537,f1543,f1555,f1558,f1573,f1576,f1582,f1585,f1588,f1591,f1609,f1612,f1624,f1627,f1630,f1639,f1642,f1654,f1657,f1660,f1663,f1710,f1764,f1783,f1815,f1852,f1863,f1953,f1971,f1977,f1984,f2002,f2014,f2024,f2032,f2053,f2081,f2110,f2114,f2116,f2154,f2161,f2174,f2180,f2193,f2200,f2204,f2211,f2214,f2224,f2244,f2294,f2331,f2349,f2369,f2394,f2413,f2441,f2445,f2454,f2458,f2469,f2490,f2505,f2514,f2524,f2533,f2535,f2540,f2562,f2578,f2581,f2585,f2587,f2594,f2601,f2606,f2607,f2608,f2612,f2637,f2639,f2643,f2655,f2671,f2679,f2681,f2692,f2705,f2707,f2710,f2712,f2722,f2724,f2744,f2751,f2766,f2769,f2796,f2797,f2798,f2799,f2823,f2859,f2895,f2908,f2912,f2914,f2916,f2922,f2924,f2927,f2928,f2934,f2941,f2942,f2949,f2967,f2978,f2981,f3004,f3006,f3027,f3030,f3033,f3052,f3062,f3080,f3098,f3105,f3107,f3115,f3135,f3136,f3159,f3163,f3186,f3224,f3230,f3237,f3241,f3261,f3269,f3273,f3275,f3299,f3313,f3317,f3337,f3349,f3426,f3434,f3493,f3514,f3521,f3528,f3538,f3564,f3565,f3650,f3659,f3715,f3762,f3807,f3913,f3921,f3931,f3935,f3945,f3971,f3982,f3993,f4003,f4007,f4023,f4034,f4040,f4048,f4063,f4064,f4070,f4085,f4143,f4153,f4207,f4255,f4290,f4378,f4571,f4598,f4616,f4621,f4633,f4640,f4648,f4661,f4671,f4676,f4679,f4700,f4784,f4789,f4853,f4888,f4907,f4909,f4939,f4975,f4998,f5053,f5141,f5145,f5148,f5193,f5194,f5206,f5228,f5296,f5320]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ALG057+1 : TPTP v8.1.2. Released v2.7.0.
% 0.06/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.33 % Computer : n014.cluster.edu
% 0.10/0.33 % Model : x86_64 x86_64
% 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33 % Memory : 8042.1875MB
% 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33 % CPULimit : 300
% 0.10/0.33 % WCLimit : 300
% 0.10/0.33 % DateTime : Mon Apr 29 23:26:19 EDT 2024
% 0.10/0.33 % CPUTime :
% 0.10/0.35 % Drodi V3.6.0
% 2.23/0.66 % Refutation found
% 2.23/0.66 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.23/0.66 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.23/0.70 % Elapsed time: 0.359860 seconds
% 2.23/0.70 % CPU time: 2.555831 seconds
% 2.23/0.70 % Total memory used: 45.098 MB
% 2.23/0.70 % Net memory used: 43.614 MB
%------------------------------------------------------------------------------