%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG189+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 11:48:49 AM UTC 2026
% Result : Theorem 0.14s 0.40s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 225
% Syntax : Number of formulae : 852 ( 101 unt; 223 def)
% Number of atoms : 4304 (2914 equ)
% Maximal formula atoms : 425 ( 5 avg)
% Number of connectives : 5369 (1917 ~;1987 |;1242 &)
% ( 223 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 126 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 225 ( 223 usr; 224 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
( op(e4,e4) = e4
& op(e4,e3) = e1
& op(e4,e2) = e0
& op(e4,e1) = e2
& op(e4,e0) = e3
& op(e3,e4) = e2
& op(e3,e3) = e3
& op(e3,e2) = e1
& op(e3,e1) = e0
& op(e3,e0) = e4
& op(e2,e4) = e3
& op(e2,e3) = e0
& op(e2,e2) = e2
& op(e2,e1) = e4
& op(e2,e0) = e1
& op(e1,e4) = e0
& op(e1,e3) = e4
& op(e1,e2) = e3
& op(e1,e1) = e1
& op(e1,e0) = e2
& op(e0,e4) = e1
& op(e0,e3) = e2
& op(e0,e2) = e4
& op(e0,e1) = e3
& op(e0,e0) = e0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,conjecture,
( op(op(e4,e4),op(e4,e4)) = e4
& op(op(e3,e4),op(e4,e3)) = e4
& op(op(e2,e4),op(e4,e2)) = e4
& op(op(e1,e4),op(e4,e1)) = e4
& op(op(e0,e4),op(e4,e0)) = e4
& op(op(e4,e3),op(e3,e4)) = e3
& op(op(e3,e3),op(e3,e3)) = e3
& op(op(e2,e3),op(e3,e2)) = e3
& op(op(e1,e3),op(e3,e1)) = e3
& op(op(e0,e3),op(e3,e0)) = e3
& op(op(e4,e2),op(e2,e4)) = e2
& op(op(e3,e2),op(e2,e3)) = e2
& op(op(e2,e2),op(e2,e2)) = e2
& op(op(e1,e2),op(e2,e1)) = e2
& op(op(e0,e2),op(e2,e0)) = e2
& op(op(e4,e1),op(e1,e4)) = e1
& op(op(e3,e1),op(e1,e3)) = e1
& op(op(e2,e1),op(e1,e2)) = e1
& op(op(e1,e1),op(e1,e1)) = e1
& op(op(e0,e1),op(e1,e0)) = e1
& op(op(e4,e0),op(e0,e4)) = e0
& op(op(e3,e0),op(e0,e3)) = e0
& op(op(e2,e0),op(e0,e2)) = e0
& op(op(e1,e0),op(e0,e1)) = e0
& op(op(e0,e0),op(e0,e0)) = e0
& ( op(e4,e4) = e4
| op(e3,e4) = e4
| op(e2,e4) = e4
| op(e1,e4) = e4
| op(e0,e4) = e4 )
& ( op(e4,e4) = e4
| op(e4,e3) = e4
| op(e4,e2) = e4
| op(e4,e1) = e4
| op(e4,e0) = e4 )
& ( op(e4,e4) = e3
| op(e3,e4) = e3
| op(e2,e4) = e3
| op(e1,e4) = e3
| op(e0,e4) = e3 )
& ( op(e4,e4) = e3
| op(e4,e3) = e3
| op(e4,e2) = e3
| op(e4,e1) = e3
| op(e4,e0) = e3 )
& ( op(e4,e4) = e2
| op(e3,e4) = e2
| op(e2,e4) = e2
| op(e1,e4) = e2
| op(e0,e4) = e2 )
& ( op(e4,e4) = e2
| op(e4,e3) = e2
| op(e4,e2) = e2
| op(e4,e1) = e2
| op(e4,e0) = e2 )
& ( op(e4,e4) = e1
| op(e3,e4) = e1
| op(e2,e4) = e1
| op(e1,e4) = e1
| op(e0,e4) = e1 )
& ( op(e4,e4) = e1
| op(e4,e3) = e1
| op(e4,e2) = e1
| op(e4,e1) = e1
| op(e4,e0) = e1 )
& ( op(e4,e4) = e0
| op(e3,e4) = e0
| op(e2,e4) = e0
| op(e1,e4) = e0
| op(e0,e4) = e0 )
& ( op(e4,e4) = e0
| op(e4,e3) = e0
| op(e4,e2) = e0
| op(e4,e1) = e0
| op(e4,e0) = e0 )
& ( op(e4,e3) = e4
| op(e3,e3) = e4
| op(e2,e3) = e4
| op(e1,e3) = e4
| op(e0,e3) = e4 )
& ( op(e3,e4) = e4
| op(e3,e3) = e4
| op(e3,e2) = e4
| op(e3,e1) = e4
| op(e3,e0) = e4 )
& ( op(e4,e3) = e3
| op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 )
& ( op(e3,e4) = e3
| op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 )
& ( op(e4,e3) = e2
| op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 )
& ( op(e3,e4) = e2
| op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 )
& ( op(e4,e3) = e1
| op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 )
& ( op(e3,e4) = e1
| op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 )
& ( op(e4,e3) = e0
| op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 )
& ( op(e3,e4) = e0
| op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 )
& ( op(e4,e2) = e4
| op(e3,e2) = e4
| op(e2,e2) = e4
| op(e1,e2) = e4
| op(e0,e2) = e4 )
& ( op(e2,e4) = e4
| op(e2,e3) = e4
| op(e2,e2) = e4
| op(e2,e1) = e4
| op(e2,e0) = e4 )
& ( op(e4,e2) = e3
| op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 )
& ( op(e2,e4) = e3
| op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 )
& ( op(e4,e2) = e2
| op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 )
& ( op(e2,e4) = e2
| op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 )
& ( op(e4,e2) = e1
| op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 )
& ( op(e2,e4) = e1
| op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 )
& ( op(e4,e2) = e0
| op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 )
& ( op(e2,e4) = e0
| op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 )
& ( op(e4,e1) = e4
| op(e3,e1) = e4
| op(e2,e1) = e4
| op(e1,e1) = e4
| op(e0,e1) = e4 )
& ( op(e1,e4) = e4
| op(e1,e3) = e4
| op(e1,e2) = e4
| op(e1,e1) = e4
| op(e1,e0) = e4 )
& ( op(e4,e1) = e3
| op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 )
& ( op(e1,e4) = e3
| op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 )
& ( op(e4,e1) = e2
| op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 )
& ( op(e1,e4) = e2
| op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 )
& ( op(e4,e1) = e1
| op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 )
& ( op(e1,e4) = e1
| op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 )
& ( op(e4,e1) = e0
| op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 )
& ( op(e1,e4) = e0
| op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 )
& ( op(e4,e0) = e4
| op(e3,e0) = e4
| op(e2,e0) = e4
| op(e1,e0) = e4
| op(e0,e0) = e4 )
& ( op(e0,e4) = e4
| op(e0,e3) = e4
| op(e0,e2) = e4
| op(e0,e1) = e4
| op(e0,e0) = e4 )
& ( op(e4,e0) = e3
| op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 )
& ( op(e0,e4) = e3
| op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 )
& ( op(e4,e0) = e2
| op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 )
& ( op(e0,e4) = e2
| op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 )
& ( op(e4,e0) = e1
| op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 )
& ( op(e0,e4) = e1
| op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 )
& ( op(e4,e0) = e0
| op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 )
& ( op(e0,e4) = e0
| op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 )
& ( op(e4,e4) = e4
| op(e4,e4) = e3
| op(e4,e4) = e2
| op(e4,e4) = e1
| op(e4,e4) = e0 )
& ( op(e4,e3) = e4
| op(e4,e3) = e3
| op(e4,e3) = e2
| op(e4,e3) = e1
| op(e4,e3) = e0 )
& ( op(e4,e2) = e4
| op(e4,e2) = e3
| op(e4,e2) = e2
| op(e4,e2) = e1
| op(e4,e2) = e0 )
& ( op(e4,e1) = e4
| op(e4,e1) = e3
| op(e4,e1) = e2
| op(e4,e1) = e1
| op(e4,e1) = e0 )
& ( op(e4,e0) = e4
| op(e4,e0) = e3
| op(e4,e0) = e2
| op(e4,e0) = e1
| op(e4,e0) = e0 )
& ( op(e3,e4) = e4
| op(e3,e4) = e3
| op(e3,e4) = e2
| op(e3,e4) = e1
| op(e3,e4) = e0 )
& ( op(e3,e3) = e4
| op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 )
& ( op(e3,e2) = e4
| op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 )
& ( op(e3,e1) = e4
| op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 )
& ( op(e3,e0) = e4
| op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 )
& ( op(e2,e4) = e4
| op(e2,e4) = e3
| op(e2,e4) = e2
| op(e2,e4) = e1
| op(e2,e4) = e0 )
& ( op(e2,e3) = e4
| op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 )
& ( op(e2,e2) = e4
| op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 )
& ( op(e2,e1) = e4
| op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 )
& ( op(e2,e0) = e4
| op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 )
& ( op(e1,e4) = e4
| op(e1,e4) = e3
| op(e1,e4) = e2
| op(e1,e4) = e1
| op(e1,e4) = e0 )
& ( op(e1,e3) = e4
| op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 )
& ( op(e1,e2) = e4
| op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 )
& ( op(e1,e1) = e4
| op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 )
& ( op(e1,e0) = e4
| op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 )
& ( op(e0,e4) = e4
| op(e0,e4) = e3
| op(e0,e4) = e2
| op(e0,e4) = e1
| op(e0,e4) = e0 )
& ( op(e0,e3) = e4
| op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 )
& ( op(e0,e2) = e4
| op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 )
& ( op(e0,e1) = e4
| op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 )
& ( op(e0,e0) = e4
| op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 )
& op(op(e4,e4),e4) = e4
& op(op(e4,e3),e3) = e4
& op(op(e4,e2),e2) = e4
& op(op(e4,e1),e1) = e4
& op(op(e4,e0),e0) = e4
& op(op(e3,e4),e4) = e3
& op(op(e3,e3),e3) = e3
& op(op(e3,e2),e2) = e3
& op(op(e3,e1),e1) = e3
& op(op(e3,e0),e0) = e3
& op(op(e2,e4),e4) = e2
& op(op(e2,e3),e3) = e2
& op(op(e2,e2),e2) = e2
& op(op(e2,e1),e1) = e2
& op(op(e2,e0),e0) = e2
& op(op(e1,e4),e4) = e1
& op(op(e1,e3),e3) = e1
& op(op(e1,e2),e2) = e1
& op(op(e1,e1),e1) = e1
& op(op(e1,e0),e0) = e1
& op(op(e0,e4),e4) = e0
& op(op(e0,e3),e3) = e0
& op(op(e0,e2),e2) = e0
& op(op(e0,e1),e1) = e0
& op(op(e0,e0),e0) = e0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
~ ( op(op(e4,e4),op(e4,e4)) = e4
& op(op(e3,e4),op(e4,e3)) = e4
& op(op(e2,e4),op(e4,e2)) = e4
& op(op(e1,e4),op(e4,e1)) = e4
& op(op(e0,e4),op(e4,e0)) = e4
& op(op(e4,e3),op(e3,e4)) = e3
& op(op(e3,e3),op(e3,e3)) = e3
& op(op(e2,e3),op(e3,e2)) = e3
& op(op(e1,e3),op(e3,e1)) = e3
& op(op(e0,e3),op(e3,e0)) = e3
& op(op(e4,e2),op(e2,e4)) = e2
& op(op(e3,e2),op(e2,e3)) = e2
& op(op(e2,e2),op(e2,e2)) = e2
& op(op(e1,e2),op(e2,e1)) = e2
& op(op(e0,e2),op(e2,e0)) = e2
& op(op(e4,e1),op(e1,e4)) = e1
& op(op(e3,e1),op(e1,e3)) = e1
& op(op(e2,e1),op(e1,e2)) = e1
& op(op(e1,e1),op(e1,e1)) = e1
& op(op(e0,e1),op(e1,e0)) = e1
& op(op(e4,e0),op(e0,e4)) = e0
& op(op(e3,e0),op(e0,e3)) = e0
& op(op(e2,e0),op(e0,e2)) = e0
& op(op(e1,e0),op(e0,e1)) = e0
& op(op(e0,e0),op(e0,e0)) = e0
& ( op(e4,e4) = e4
| op(e3,e4) = e4
| op(e2,e4) = e4
| op(e1,e4) = e4
| op(e0,e4) = e4 )
& ( op(e4,e4) = e4
| op(e4,e3) = e4
| op(e4,e2) = e4
| op(e4,e1) = e4
| op(e4,e0) = e4 )
& ( op(e4,e4) = e3
| op(e3,e4) = e3
| op(e2,e4) = e3
| op(e1,e4) = e3
| op(e0,e4) = e3 )
& ( op(e4,e4) = e3
| op(e4,e3) = e3
| op(e4,e2) = e3
| op(e4,e1) = e3
| op(e4,e0) = e3 )
& ( op(e4,e4) = e2
| op(e3,e4) = e2
| op(e2,e4) = e2
| op(e1,e4) = e2
| op(e0,e4) = e2 )
& ( op(e4,e4) = e2
| op(e4,e3) = e2
| op(e4,e2) = e2
| op(e4,e1) = e2
| op(e4,e0) = e2 )
& ( op(e4,e4) = e1
| op(e3,e4) = e1
| op(e2,e4) = e1
| op(e1,e4) = e1
| op(e0,e4) = e1 )
& ( op(e4,e4) = e1
| op(e4,e3) = e1
| op(e4,e2) = e1
| op(e4,e1) = e1
| op(e4,e0) = e1 )
& ( op(e4,e4) = e0
| op(e3,e4) = e0
| op(e2,e4) = e0
| op(e1,e4) = e0
| op(e0,e4) = e0 )
& ( op(e4,e4) = e0
| op(e4,e3) = e0
| op(e4,e2) = e0
| op(e4,e1) = e0
| op(e4,e0) = e0 )
& ( op(e4,e3) = e4
| op(e3,e3) = e4
| op(e2,e3) = e4
| op(e1,e3) = e4
| op(e0,e3) = e4 )
& ( op(e3,e4) = e4
| op(e3,e3) = e4
| op(e3,e2) = e4
| op(e3,e1) = e4
| op(e3,e0) = e4 )
& ( op(e4,e3) = e3
| op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 )
& ( op(e3,e4) = e3
| op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 )
& ( op(e4,e3) = e2
| op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 )
& ( op(e3,e4) = e2
| op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 )
& ( op(e4,e3) = e1
| op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 )
& ( op(e3,e4) = e1
| op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 )
& ( op(e4,e3) = e0
| op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 )
& ( op(e3,e4) = e0
| op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 )
& ( op(e4,e2) = e4
| op(e3,e2) = e4
| op(e2,e2) = e4
| op(e1,e2) = e4
| op(e0,e2) = e4 )
& ( op(e2,e4) = e4
| op(e2,e3) = e4
| op(e2,e2) = e4
| op(e2,e1) = e4
| op(e2,e0) = e4 )
& ( op(e4,e2) = e3
| op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 )
& ( op(e2,e4) = e3
| op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 )
& ( op(e4,e2) = e2
| op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 )
& ( op(e2,e4) = e2
| op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 )
& ( op(e4,e2) = e1
| op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 )
& ( op(e2,e4) = e1
| op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 )
& ( op(e4,e2) = e0
| op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 )
& ( op(e2,e4) = e0
| op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 )
& ( op(e4,e1) = e4
| op(e3,e1) = e4
| op(e2,e1) = e4
| op(e1,e1) = e4
| op(e0,e1) = e4 )
& ( op(e1,e4) = e4
| op(e1,e3) = e4
| op(e1,e2) = e4
| op(e1,e1) = e4
| op(e1,e0) = e4 )
& ( op(e4,e1) = e3
| op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 )
& ( op(e1,e4) = e3
| op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 )
& ( op(e4,e1) = e2
| op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 )
& ( op(e1,e4) = e2
| op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 )
& ( op(e4,e1) = e1
| op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 )
& ( op(e1,e4) = e1
| op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 )
& ( op(e4,e1) = e0
| op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 )
& ( op(e1,e4) = e0
| op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 )
& ( op(e4,e0) = e4
| op(e3,e0) = e4
| op(e2,e0) = e4
| op(e1,e0) = e4
| op(e0,e0) = e4 )
& ( op(e0,e4) = e4
| op(e0,e3) = e4
| op(e0,e2) = e4
| op(e0,e1) = e4
| op(e0,e0) = e4 )
& ( op(e4,e0) = e3
| op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 )
& ( op(e0,e4) = e3
| op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 )
& ( op(e4,e0) = e2
| op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 )
& ( op(e0,e4) = e2
| op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 )
& ( op(e4,e0) = e1
| op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 )
& ( op(e0,e4) = e1
| op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 )
& ( op(e4,e0) = e0
| op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 )
& ( op(e0,e4) = e0
| op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 )
& ( op(e4,e4) = e4
| op(e4,e4) = e3
| op(e4,e4) = e2
| op(e4,e4) = e1
| op(e4,e4) = e0 )
& ( op(e4,e3) = e4
| op(e4,e3) = e3
| op(e4,e3) = e2
| op(e4,e3) = e1
| op(e4,e3) = e0 )
& ( op(e4,e2) = e4
| op(e4,e2) = e3
| op(e4,e2) = e2
| op(e4,e2) = e1
| op(e4,e2) = e0 )
& ( op(e4,e1) = e4
| op(e4,e1) = e3
| op(e4,e1) = e2
| op(e4,e1) = e1
| op(e4,e1) = e0 )
& ( op(e4,e0) = e4
| op(e4,e0) = e3
| op(e4,e0) = e2
| op(e4,e0) = e1
| op(e4,e0) = e0 )
& ( op(e3,e4) = e4
| op(e3,e4) = e3
| op(e3,e4) = e2
| op(e3,e4) = e1
| op(e3,e4) = e0 )
& ( op(e3,e3) = e4
| op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 )
& ( op(e3,e2) = e4
| op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 )
& ( op(e3,e1) = e4
| op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 )
& ( op(e3,e0) = e4
| op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 )
& ( op(e2,e4) = e4
| op(e2,e4) = e3
| op(e2,e4) = e2
| op(e2,e4) = e1
| op(e2,e4) = e0 )
& ( op(e2,e3) = e4
| op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 )
& ( op(e2,e2) = e4
| op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 )
& ( op(e2,e1) = e4
| op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 )
& ( op(e2,e0) = e4
| op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 )
& ( op(e1,e4) = e4
| op(e1,e4) = e3
| op(e1,e4) = e2
| op(e1,e4) = e1
| op(e1,e4) = e0 )
& ( op(e1,e3) = e4
| op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 )
& ( op(e1,e2) = e4
| op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 )
& ( op(e1,e1) = e4
| op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 )
& ( op(e1,e0) = e4
| op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 )
& ( op(e0,e4) = e4
| op(e0,e4) = e3
| op(e0,e4) = e2
| op(e0,e4) = e1
| op(e0,e4) = e0 )
& ( op(e0,e3) = e4
| op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 )
& ( op(e0,e2) = e4
| op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 )
& ( op(e0,e1) = e4
| op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 )
& ( op(e0,e0) = e4
| op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 )
& op(op(e4,e4),e4) = e4
& op(op(e4,e3),e3) = e4
& op(op(e4,e2),e2) = e4
& op(op(e4,e1),e1) = e4
& op(op(e4,e0),e0) = e4
& op(op(e3,e4),e4) = e3
& op(op(e3,e3),e3) = e3
& op(op(e3,e2),e2) = e3
& op(op(e3,e1),e1) = e3
& op(op(e3,e0),e0) = e3
& op(op(e2,e4),e4) = e2
& op(op(e2,e3),e3) = e2
& op(op(e2,e2),e2) = e2
& op(op(e2,e1),e1) = e2
& op(op(e2,e0),e0) = e2
& op(op(e1,e4),e4) = e1
& op(op(e1,e3),e3) = e1
& op(op(e1,e2),e2) = e1
& op(op(e1,e1),e1) = e1
& op(op(e1,e0),e0) = e1
& op(op(e0,e4),e4) = e0
& op(op(e0,e3),e3) = e0
& op(op(e0,e2),e2) = e0
& op(op(e0,e1),e1) = e0
& op(op(e0,e0),e0) = e0 ),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f15,plain,
op(e0,e0) = e0,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f16,plain,
op(e0,e1) = e3,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f17,plain,
op(e0,e2) = e4,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f18,plain,
op(e0,e3) = e2,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f19,plain,
op(e0,e4) = e1,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f20,plain,
op(e1,e0) = e2,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f21,plain,
op(e1,e1) = e1,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f22,plain,
op(e1,e2) = e3,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f23,plain,
op(e1,e3) = e4,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f24,plain,
op(e1,e4) = e0,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f25,plain,
op(e2,e0) = e1,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f26,plain,
op(e2,e1) = e4,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f27,plain,
op(e2,e2) = e2,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f28,plain,
op(e2,e3) = e0,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f29,plain,
op(e2,e4) = e3,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f30,plain,
op(e3,e0) = e4,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f31,plain,
op(e3,e1) = e0,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f32,plain,
op(e3,e2) = e1,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f33,plain,
op(e3,e3) = e3,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f34,plain,
op(e3,e4) = e2,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f35,plain,
op(e4,e0) = e3,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f36,plain,
op(e4,e1) = e2,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f37,plain,
op(e4,e2) = e0,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f38,plain,
op(e4,e3) = e1,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f39,plain,
op(e4,e4) = e4,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f40,plain,
( op(op(e4,e4),op(e4,e4)) != e4
| op(op(e3,e4),op(e4,e3)) != e4
| op(op(e2,e4),op(e4,e2)) != e4
| op(op(e1,e4),op(e4,e1)) != e4
| op(op(e0,e4),op(e4,e0)) != e4
| op(op(e4,e3),op(e3,e4)) != e3
| op(op(e3,e3),op(e3,e3)) != e3
| op(op(e2,e3),op(e3,e2)) != e3
| op(op(e1,e3),op(e3,e1)) != e3
| op(op(e0,e3),op(e3,e0)) != e3
| op(op(e4,e2),op(e2,e4)) != e2
| op(op(e3,e2),op(e2,e3)) != e2
| op(op(e2,e2),op(e2,e2)) != e2
| op(op(e1,e2),op(e2,e1)) != e2
| op(op(e0,e2),op(e2,e0)) != e2
| op(op(e4,e1),op(e1,e4)) != e1
| op(op(e3,e1),op(e1,e3)) != e1
| op(op(e2,e1),op(e1,e2)) != e1
| op(op(e1,e1),op(e1,e1)) != e1
| op(op(e0,e1),op(e1,e0)) != e1
| op(op(e4,e0),op(e0,e4)) != e0
| op(op(e3,e0),op(e0,e3)) != e0
| op(op(e2,e0),op(e0,e2)) != e0
| op(op(e1,e0),op(e0,e1)) != e0
| op(op(e0,e0),op(e0,e0)) != e0
| ( op(e4,e4) != e4
& op(e3,e4) != e4
& op(e2,e4) != e4
& op(e1,e4) != e4
& op(e0,e4) != e4 )
| ( op(e4,e4) != e4
& op(e4,e3) != e4
& op(e4,e2) != e4
& op(e4,e1) != e4
& op(e4,e0) != e4 )
| ( op(e4,e4) != e3
& op(e3,e4) != e3
& op(e2,e4) != e3
& op(e1,e4) != e3
& op(e0,e4) != e3 )
| ( op(e4,e4) != e3
& op(e4,e3) != e3
& op(e4,e2) != e3
& op(e4,e1) != e3
& op(e4,e0) != e3 )
| ( op(e4,e4) != e2
& op(e3,e4) != e2
& op(e2,e4) != e2
& op(e1,e4) != e2
& op(e0,e4) != e2 )
| ( op(e4,e4) != e2
& op(e4,e3) != e2
& op(e4,e2) != e2
& op(e4,e1) != e2
& op(e4,e0) != e2 )
| ( op(e4,e4) != e1
& op(e3,e4) != e1
& op(e2,e4) != e1
& op(e1,e4) != e1
& op(e0,e4) != e1 )
| ( op(e4,e4) != e1
& op(e4,e3) != e1
& op(e4,e2) != e1
& op(e4,e1) != e1
& op(e4,e0) != e1 )
| ( op(e4,e4) != e0
& op(e3,e4) != e0
& op(e2,e4) != e0
& op(e1,e4) != e0
& op(e0,e4) != e0 )
| ( op(e4,e4) != e0
& op(e4,e3) != e0
& op(e4,e2) != e0
& op(e4,e1) != e0
& op(e4,e0) != e0 )
| ( op(e4,e3) != e4
& op(e3,e3) != e4
& op(e2,e3) != e4
& op(e1,e3) != e4
& op(e0,e3) != e4 )
| ( op(e3,e4) != e4
& op(e3,e3) != e4
& op(e3,e2) != e4
& op(e3,e1) != e4
& op(e3,e0) != e4 )
| ( op(e4,e3) != e3
& op(e3,e3) != e3
& op(e2,e3) != e3
& op(e1,e3) != e3
& op(e0,e3) != e3 )
| ( op(e3,e4) != e3
& op(e3,e3) != e3
& op(e3,e2) != e3
& op(e3,e1) != e3
& op(e3,e0) != e3 )
| ( op(e4,e3) != e2
& op(e3,e3) != e2
& op(e2,e3) != e2
& op(e1,e3) != e2
& op(e0,e3) != e2 )
| ( op(e3,e4) != e2
& op(e3,e3) != e2
& op(e3,e2) != e2
& op(e3,e1) != e2
& op(e3,e0) != e2 )
| ( op(e4,e3) != e1
& op(e3,e3) != e1
& op(e2,e3) != e1
& op(e1,e3) != e1
& op(e0,e3) != e1 )
| ( op(e3,e4) != e1
& op(e3,e3) != e1
& op(e3,e2) != e1
& op(e3,e1) != e1
& op(e3,e0) != e1 )
| ( op(e4,e3) != e0
& op(e3,e3) != e0
& op(e2,e3) != e0
& op(e1,e3) != e0
& op(e0,e3) != e0 )
| ( op(e3,e4) != e0
& op(e3,e3) != e0
& op(e3,e2) != e0
& op(e3,e1) != e0
& op(e3,e0) != e0 )
| ( op(e4,e2) != e4
& op(e3,e2) != e4
& op(e2,e2) != e4
& op(e1,e2) != e4
& op(e0,e2) != e4 )
| ( op(e2,e4) != e4
& op(e2,e3) != e4
& op(e2,e2) != e4
& op(e2,e1) != e4
& op(e2,e0) != e4 )
| ( op(e4,e2) != e3
& op(e3,e2) != e3
& op(e2,e2) != e3
& op(e1,e2) != e3
& op(e0,e2) != e3 )
| ( op(e2,e4) != e3
& op(e2,e3) != e3
& op(e2,e2) != e3
& op(e2,e1) != e3
& op(e2,e0) != e3 )
| ( op(e4,e2) != e2
& op(e3,e2) != e2
& op(e2,e2) != e2
& op(e1,e2) != e2
& op(e0,e2) != e2 )
| ( op(e2,e4) != e2
& op(e2,e3) != e2
& op(e2,e2) != e2
& op(e2,e1) != e2
& op(e2,e0) != e2 )
| ( op(e4,e2) != e1
& op(e3,e2) != e1
& op(e2,e2) != e1
& op(e1,e2) != e1
& op(e0,e2) != e1 )
| ( op(e2,e4) != e1
& op(e2,e3) != e1
& op(e2,e2) != e1
& op(e2,e1) != e1
& op(e2,e0) != e1 )
| ( op(e4,e2) != e0
& op(e3,e2) != e0
& op(e2,e2) != e0
& op(e1,e2) != e0
& op(e0,e2) != e0 )
| ( op(e2,e4) != e0
& op(e2,e3) != e0
& op(e2,e2) != e0
& op(e2,e1) != e0
& op(e2,e0) != e0 )
| ( op(e4,e1) != e4
& op(e3,e1) != e4
& op(e2,e1) != e4
& op(e1,e1) != e4
& op(e0,e1) != e4 )
| ( op(e1,e4) != e4
& op(e1,e3) != e4
& op(e1,e2) != e4
& op(e1,e1) != e4
& op(e1,e0) != e4 )
| ( op(e4,e1) != e3
& op(e3,e1) != e3
& op(e2,e1) != e3
& op(e1,e1) != e3
& op(e0,e1) != e3 )
| ( op(e1,e4) != e3
& op(e1,e3) != e3
& op(e1,e2) != e3
& op(e1,e1) != e3
& op(e1,e0) != e3 )
| ( op(e4,e1) != e2
& op(e3,e1) != e2
& op(e2,e1) != e2
& op(e1,e1) != e2
& op(e0,e1) != e2 )
| ( op(e1,e4) != e2
& op(e1,e3) != e2
& op(e1,e2) != e2
& op(e1,e1) != e2
& op(e1,e0) != e2 )
| ( op(e4,e1) != e1
& op(e3,e1) != e1
& op(e2,e1) != e1
& op(e1,e1) != e1
& op(e0,e1) != e1 )
| ( op(e1,e4) != e1
& op(e1,e3) != e1
& op(e1,e2) != e1
& op(e1,e1) != e1
& op(e1,e0) != e1 )
| ( op(e4,e1) != e0
& op(e3,e1) != e0
& op(e2,e1) != e0
& op(e1,e1) != e0
& op(e0,e1) != e0 )
| ( op(e1,e4) != e0
& op(e1,e3) != e0
& op(e1,e2) != e0
& op(e1,e1) != e0
& op(e1,e0) != e0 )
| ( op(e4,e0) != e4
& op(e3,e0) != e4
& op(e2,e0) != e4
& op(e1,e0) != e4
& op(e0,e0) != e4 )
| ( op(e0,e4) != e4
& op(e0,e3) != e4
& op(e0,e2) != e4
& op(e0,e1) != e4
& op(e0,e0) != e4 )
| ( op(e4,e0) != e3
& op(e3,e0) != e3
& op(e2,e0) != e3
& op(e1,e0) != e3
& op(e0,e0) != e3 )
| ( op(e0,e4) != e3
& op(e0,e3) != e3
& op(e0,e2) != e3
& op(e0,e1) != e3
& op(e0,e0) != e3 )
| ( op(e4,e0) != e2
& op(e3,e0) != e2
& op(e2,e0) != e2
& op(e1,e0) != e2
& op(e0,e0) != e2 )
| ( op(e0,e4) != e2
& op(e0,e3) != e2
& op(e0,e2) != e2
& op(e0,e1) != e2
& op(e0,e0) != e2 )
| ( op(e4,e0) != e1
& op(e3,e0) != e1
& op(e2,e0) != e1
& op(e1,e0) != e1
& op(e0,e0) != e1 )
| ( op(e0,e4) != e1
& op(e0,e3) != e1
& op(e0,e2) != e1
& op(e0,e1) != e1
& op(e0,e0) != e1 )
| ( op(e4,e0) != e0
& op(e3,e0) != e0
& op(e2,e0) != e0
& op(e1,e0) != e0
& op(e0,e0) != e0 )
| ( op(e0,e4) != e0
& op(e0,e3) != e0
& op(e0,e2) != e0
& op(e0,e1) != e0
& op(e0,e0) != e0 )
| ( op(e4,e4) != e4
& op(e4,e4) != e3
& op(e4,e4) != e2
& op(e4,e4) != e1
& op(e4,e4) != e0 )
| ( op(e4,e3) != e4
& op(e4,e3) != e3
& op(e4,e3) != e2
& op(e4,e3) != e1
& op(e4,e3) != e0 )
| ( op(e4,e2) != e4
& op(e4,e2) != e3
& op(e4,e2) != e2
& op(e4,e2) != e1
& op(e4,e2) != e0 )
| ( op(e4,e1) != e4
& op(e4,e1) != e3
& op(e4,e1) != e2
& op(e4,e1) != e1
& op(e4,e1) != e0 )
| ( op(e4,e0) != e4
& op(e4,e0) != e3
& op(e4,e0) != e2
& op(e4,e0) != e1
& op(e4,e0) != e0 )
| ( op(e3,e4) != e4
& op(e3,e4) != e3
& op(e3,e4) != e2
& op(e3,e4) != e1
& op(e3,e4) != e0 )
| ( op(e3,e3) != e4
& op(e3,e3) != e3
& op(e3,e3) != e2
& op(e3,e3) != e1
& op(e3,e3) != e0 )
| ( op(e3,e2) != e4
& op(e3,e2) != e3
& op(e3,e2) != e2
& op(e3,e2) != e1
& op(e3,e2) != e0 )
| ( op(e3,e1) != e4
& op(e3,e1) != e3
& op(e3,e1) != e2
& op(e3,e1) != e1
& op(e3,e1) != e0 )
| ( op(e3,e0) != e4
& op(e3,e0) != e3
& op(e3,e0) != e2
& op(e3,e0) != e1
& op(e3,e0) != e0 )
| ( op(e2,e4) != e4
& op(e2,e4) != e3
& op(e2,e4) != e2
& op(e2,e4) != e1
& op(e2,e4) != e0 )
| ( op(e2,e3) != e4
& op(e2,e3) != e3
& op(e2,e3) != e2
& op(e2,e3) != e1
& op(e2,e3) != e0 )
| ( op(e2,e2) != e4
& op(e2,e2) != e3
& op(e2,e2) != e2
& op(e2,e2) != e1
& op(e2,e2) != e0 )
| ( op(e2,e1) != e4
& op(e2,e1) != e3
& op(e2,e1) != e2
& op(e2,e1) != e1
& op(e2,e1) != e0 )
| ( op(e2,e0) != e4
& op(e2,e0) != e3
& op(e2,e0) != e2
& op(e2,e0) != e1
& op(e2,e0) != e0 )
| ( op(e1,e4) != e4
& op(e1,e4) != e3
& op(e1,e4) != e2
& op(e1,e4) != e1
& op(e1,e4) != e0 )
| ( op(e1,e3) != e4
& op(e1,e3) != e3
& op(e1,e3) != e2
& op(e1,e3) != e1
& op(e1,e3) != e0 )
| ( op(e1,e2) != e4
& op(e1,e2) != e3
& op(e1,e2) != e2
& op(e1,e2) != e1
& op(e1,e2) != e0 )
| ( op(e1,e1) != e4
& op(e1,e1) != e3
& op(e1,e1) != e2
& op(e1,e1) != e1
& op(e1,e1) != e0 )
| ( op(e1,e0) != e4
& op(e1,e0) != e3
& op(e1,e0) != e2
& op(e1,e0) != e1
& op(e1,e0) != e0 )
| ( op(e0,e4) != e4
& op(e0,e4) != e3
& op(e0,e4) != e2
& op(e0,e4) != e1
& op(e0,e4) != e0 )
| ( op(e0,e3) != e4
& op(e0,e3) != e3
& op(e0,e3) != e2
& op(e0,e3) != e1
& op(e0,e3) != e0 )
| ( op(e0,e2) != e4
& op(e0,e2) != e3
& op(e0,e2) != e2
& op(e0,e2) != e1
& op(e0,e2) != e0 )
| ( op(e0,e1) != e4
& op(e0,e1) != e3
& op(e0,e1) != e2
& op(e0,e1) != e1
& op(e0,e1) != e0 )
| ( op(e0,e0) != e4
& op(e0,e0) != e3
& op(e0,e0) != e2
& op(e0,e0) != e1
& op(e0,e0) != e0 )
| op(op(e4,e4),e4) != e4
| op(op(e4,e3),e3) != e4
| op(op(e4,e2),e2) != e4
| op(op(e4,e1),e1) != e4
| op(op(e4,e0),e0) != e4
| op(op(e3,e4),e4) != e3
| op(op(e3,e3),e3) != e3
| op(op(e3,e2),e2) != e3
| op(op(e3,e1),e1) != e3
| op(op(e3,e0),e0) != e3
| op(op(e2,e4),e4) != e2
| op(op(e2,e3),e3) != e2
| op(op(e2,e2),e2) != e2
| op(op(e2,e1),e1) != e2
| op(op(e2,e0),e0) != e2
| op(op(e1,e4),e4) != e1
| op(op(e1,e3),e3) != e1
| op(op(e1,e2),e2) != e1
| op(op(e1,e1),e1) != e1
| op(op(e1,e0),e0) != e1
| op(op(e0,e4),e4) != e0
| op(op(e0,e3),e3) != e0
| op(op(e0,e2),e2) != e0
| op(op(e0,e1),e1) != e0
| op(op(e0,e0),e0) != e0 ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f41,definition,
( sP0_prd
<=> ( op(e0,e0) != e4
& op(e0,e0) != e3
& op(e0,e0) != e2
& op(e0,e0) != e1
& op(e0,e0) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f42,definition,
( sP1_prd
<=> ( op(e0,e1) != e4
& op(e0,e1) != e3
& op(e0,e1) != e2
& op(e0,e1) != e1
& op(e0,e1) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f43,definition,
( sP2_prd
<=> ( op(e0,e2) != e4
& op(e0,e2) != e3
& op(e0,e2) != e2
& op(e0,e2) != e1
& op(e0,e2) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f44,definition,
( sP3_prd
<=> ( op(e0,e3) != e4
& op(e0,e3) != e3
& op(e0,e3) != e2
& op(e0,e3) != e1
& op(e0,e3) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f45,definition,
( sP4_prd
<=> ( op(e0,e4) != e4
& op(e0,e4) != e3
& op(e0,e4) != e2
& op(e0,e4) != e1
& op(e0,e4) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f46,definition,
( sP5_prd
<=> ( op(e1,e0) != e4
& op(e1,e0) != e3
& op(e1,e0) != e2
& op(e1,e0) != e1
& op(e1,e0) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f47,definition,
( sP6_prd
<=> ( op(e1,e1) != e4
& op(e1,e1) != e3
& op(e1,e1) != e2
& op(e1,e1) != e1
& op(e1,e1) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f48,definition,
( sP7_prd
<=> ( op(e1,e2) != e4
& op(e1,e2) != e3
& op(e1,e2) != e2
& op(e1,e2) != e1
& op(e1,e2) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).
fof(f49,definition,
( sP8_prd
<=> ( op(e1,e3) != e4
& op(e1,e3) != e3
& op(e1,e3) != e2
& op(e1,e3) != e1
& op(e1,e3) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP8_prd])],[]) ).
fof(f50,definition,
( sP9_prd
<=> ( op(e1,e4) != e4
& op(e1,e4) != e3
& op(e1,e4) != e2
& op(e1,e4) != e1
& op(e1,e4) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP9_prd])],[]) ).
fof(f51,definition,
( sP10_prd
<=> ( op(e2,e0) != e4
& op(e2,e0) != e3
& op(e2,e0) != e2
& op(e2,e0) != e1
& op(e2,e0) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP10_prd])],[]) ).
fof(f52,definition,
( sP11_prd
<=> ( op(e2,e1) != e4
& op(e2,e1) != e3
& op(e2,e1) != e2
& op(e2,e1) != e1
& op(e2,e1) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP11_prd])],[]) ).
fof(f53,definition,
( sP12_prd
<=> ( op(e2,e2) != e4
& op(e2,e2) != e3
& op(e2,e2) != e2
& op(e2,e2) != e1
& op(e2,e2) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP12_prd])],[]) ).
fof(f54,definition,
( sP13_prd
<=> ( op(e2,e3) != e4
& op(e2,e3) != e3
& op(e2,e3) != e2
& op(e2,e3) != e1
& op(e2,e3) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP13_prd])],[]) ).
fof(f55,definition,
( sP14_prd
<=> ( op(e2,e4) != e4
& op(e2,e4) != e3
& op(e2,e4) != e2
& op(e2,e4) != e1
& op(e2,e4) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP14_prd])],[]) ).
fof(f56,definition,
( sP15_prd
<=> ( op(e3,e0) != e4
& op(e3,e0) != e3
& op(e3,e0) != e2
& op(e3,e0) != e1
& op(e3,e0) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP15_prd])],[]) ).
fof(f57,definition,
( sP16_prd
<=> ( op(e3,e1) != e4
& op(e3,e1) != e3
& op(e3,e1) != e2
& op(e3,e1) != e1
& op(e3,e1) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP16_prd])],[]) ).
fof(f58,definition,
( sP17_prd
<=> ( op(e3,e2) != e4
& op(e3,e2) != e3
& op(e3,e2) != e2
& op(e3,e2) != e1
& op(e3,e2) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP17_prd])],[]) ).
fof(f59,definition,
( sP18_prd
<=> ( op(e3,e3) != e4
& op(e3,e3) != e3
& op(e3,e3) != e2
& op(e3,e3) != e1
& op(e3,e3) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP18_prd])],[]) ).
fof(f60,definition,
( sP19_prd
<=> ( op(e3,e4) != e4
& op(e3,e4) != e3
& op(e3,e4) != e2
& op(e3,e4) != e1
& op(e3,e4) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP19_prd])],[]) ).
fof(f61,definition,
( sP20_prd
<=> ( op(e4,e0) != e4
& op(e4,e0) != e3
& op(e4,e0) != e2
& op(e4,e0) != e1
& op(e4,e0) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP20_prd])],[]) ).
fof(f62,definition,
( sP21_prd
<=> ( op(e4,e1) != e4
& op(e4,e1) != e3
& op(e4,e1) != e2
& op(e4,e1) != e1
& op(e4,e1) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP21_prd])],[]) ).
fof(f63,definition,
( sP22_prd
<=> ( op(e4,e2) != e4
& op(e4,e2) != e3
& op(e4,e2) != e2
& op(e4,e2) != e1
& op(e4,e2) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP22_prd])],[]) ).
fof(f64,definition,
( sP23_prd
<=> ( op(e4,e3) != e4
& op(e4,e3) != e3
& op(e4,e3) != e2
& op(e4,e3) != e1
& op(e4,e3) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP23_prd])],[]) ).
fof(f65,definition,
( sP24_prd
<=> ( op(e4,e4) != e4
& op(e4,e4) != e3
& op(e4,e4) != e2
& op(e4,e4) != e1
& op(e4,e4) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP24_prd])],[]) ).
fof(f66,definition,
( sP25_prd
<=> ( op(e0,e4) != e0
& op(e0,e3) != e0
& op(e0,e2) != e0
& op(e0,e1) != e0
& op(e0,e0) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP25_prd])],[]) ).
fof(f67,definition,
( sP26_prd
<=> ( op(e4,e0) != e0
& op(e3,e0) != e0
& op(e2,e0) != e0
& op(e1,e0) != e0
& op(e0,e0) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP26_prd])],[]) ).
fof(f68,definition,
( sP27_prd
<=> ( op(e0,e4) != e1
& op(e0,e3) != e1
& op(e0,e2) != e1
& op(e0,e1) != e1
& op(e0,e0) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP27_prd])],[]) ).
fof(f69,definition,
( sP28_prd
<=> ( op(e4,e0) != e1
& op(e3,e0) != e1
& op(e2,e0) != e1
& op(e1,e0) != e1
& op(e0,e0) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP28_prd])],[]) ).
fof(f70,definition,
( sP29_prd
<=> ( op(e0,e4) != e2
& op(e0,e3) != e2
& op(e0,e2) != e2
& op(e0,e1) != e2
& op(e0,e0) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP29_prd])],[]) ).
fof(f71,definition,
( sP30_prd
<=> ( op(e4,e0) != e2
& op(e3,e0) != e2
& op(e2,e0) != e2
& op(e1,e0) != e2
& op(e0,e0) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP30_prd])],[]) ).
fof(f72,definition,
( sP31_prd
<=> ( op(e0,e4) != e3
& op(e0,e3) != e3
& op(e0,e2) != e3
& op(e0,e1) != e3
& op(e0,e0) != e3 ) ),
introduced(definition,[new_symbols(definition,[sP31_prd])],[]) ).
fof(f73,definition,
( sP32_prd
<=> ( op(e4,e0) != e3
& op(e3,e0) != e3
& op(e2,e0) != e3
& op(e1,e0) != e3
& op(e0,e0) != e3 ) ),
introduced(definition,[new_symbols(definition,[sP32_prd])],[]) ).
fof(f74,definition,
( sP33_prd
<=> ( op(e0,e4) != e4
& op(e0,e3) != e4
& op(e0,e2) != e4
& op(e0,e1) != e4
& op(e0,e0) != e4 ) ),
introduced(definition,[new_symbols(definition,[sP33_prd])],[]) ).
fof(f75,definition,
( sP34_prd
<=> ( op(e4,e0) != e4
& op(e3,e0) != e4
& op(e2,e0) != e4
& op(e1,e0) != e4
& op(e0,e0) != e4 ) ),
introduced(definition,[new_symbols(definition,[sP34_prd])],[]) ).
fof(f76,definition,
( sP35_prd
<=> ( op(e1,e4) != e0
& op(e1,e3) != e0
& op(e1,e2) != e0
& op(e1,e1) != e0
& op(e1,e0) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP35_prd])],[]) ).
fof(f77,definition,
( sP36_prd
<=> ( op(e4,e1) != e0
& op(e3,e1) != e0
& op(e2,e1) != e0
& op(e1,e1) != e0
& op(e0,e1) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP36_prd])],[]) ).
fof(f78,definition,
( sP37_prd
<=> ( op(e1,e4) != e1
& op(e1,e3) != e1
& op(e1,e2) != e1
& op(e1,e1) != e1
& op(e1,e0) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP37_prd])],[]) ).
fof(f79,definition,
( sP38_prd
<=> ( op(e4,e1) != e1
& op(e3,e1) != e1
& op(e2,e1) != e1
& op(e1,e1) != e1
& op(e0,e1) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP38_prd])],[]) ).
fof(f80,definition,
( sP39_prd
<=> ( op(e1,e4) != e2
& op(e1,e3) != e2
& op(e1,e2) != e2
& op(e1,e1) != e2
& op(e1,e0) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP39_prd])],[]) ).
fof(f81,definition,
( sP40_prd
<=> ( op(e4,e1) != e2
& op(e3,e1) != e2
& op(e2,e1) != e2
& op(e1,e1) != e2
& op(e0,e1) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP40_prd])],[]) ).
fof(f82,definition,
( sP41_prd
<=> ( op(e1,e4) != e3
& op(e1,e3) != e3
& op(e1,e2) != e3
& op(e1,e1) != e3
& op(e1,e0) != e3 ) ),
introduced(definition,[new_symbols(definition,[sP41_prd])],[]) ).
fof(f83,definition,
( sP42_prd
<=> ( op(e4,e1) != e3
& op(e3,e1) != e3
& op(e2,e1) != e3
& op(e1,e1) != e3
& op(e0,e1) != e3 ) ),
introduced(definition,[new_symbols(definition,[sP42_prd])],[]) ).
fof(f84,definition,
( sP43_prd
<=> ( op(e1,e4) != e4
& op(e1,e3) != e4
& op(e1,e2) != e4
& op(e1,e1) != e4
& op(e1,e0) != e4 ) ),
introduced(definition,[new_symbols(definition,[sP43_prd])],[]) ).
fof(f85,definition,
( sP44_prd
<=> ( op(e4,e1) != e4
& op(e3,e1) != e4
& op(e2,e1) != e4
& op(e1,e1) != e4
& op(e0,e1) != e4 ) ),
introduced(definition,[new_symbols(definition,[sP44_prd])],[]) ).
fof(f86,definition,
( sP45_prd
<=> ( op(e2,e4) != e0
& op(e2,e3) != e0
& op(e2,e2) != e0
& op(e2,e1) != e0
& op(e2,e0) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP45_prd])],[]) ).
fof(f87,definition,
( sP46_prd
<=> ( op(e4,e2) != e0
& op(e3,e2) != e0
& op(e2,e2) != e0
& op(e1,e2) != e0
& op(e0,e2) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP46_prd])],[]) ).
fof(f88,definition,
( sP47_prd
<=> ( op(e2,e4) != e1
& op(e2,e3) != e1
& op(e2,e2) != e1
& op(e2,e1) != e1
& op(e2,e0) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP47_prd])],[]) ).
fof(f89,definition,
( sP48_prd
<=> ( op(e4,e2) != e1
& op(e3,e2) != e1
& op(e2,e2) != e1
& op(e1,e2) != e1
& op(e0,e2) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP48_prd])],[]) ).
fof(f90,definition,
( sP49_prd
<=> ( op(e2,e4) != e2
& op(e2,e3) != e2
& op(e2,e2) != e2
& op(e2,e1) != e2
& op(e2,e0) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP49_prd])],[]) ).
fof(f91,definition,
( sP50_prd
<=> ( op(e4,e2) != e2
& op(e3,e2) != e2
& op(e2,e2) != e2
& op(e1,e2) != e2
& op(e0,e2) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP50_prd])],[]) ).
fof(f92,definition,
( sP51_prd
<=> ( op(e2,e4) != e3
& op(e2,e3) != e3
& op(e2,e2) != e3
& op(e2,e1) != e3
& op(e2,e0) != e3 ) ),
introduced(definition,[new_symbols(definition,[sP51_prd])],[]) ).
fof(f93,definition,
( sP52_prd
<=> ( op(e4,e2) != e3
& op(e3,e2) != e3
& op(e2,e2) != e3
& op(e1,e2) != e3
& op(e0,e2) != e3 ) ),
introduced(definition,[new_symbols(definition,[sP52_prd])],[]) ).
fof(f94,definition,
( sP53_prd
<=> ( op(e2,e4) != e4
& op(e2,e3) != e4
& op(e2,e2) != e4
& op(e2,e1) != e4
& op(e2,e0) != e4 ) ),
introduced(definition,[new_symbols(definition,[sP53_prd])],[]) ).
fof(f95,definition,
( sP54_prd
<=> ( op(e4,e2) != e4
& op(e3,e2) != e4
& op(e2,e2) != e4
& op(e1,e2) != e4
& op(e0,e2) != e4 ) ),
introduced(definition,[new_symbols(definition,[sP54_prd])],[]) ).
fof(f96,definition,
( sP55_prd
<=> ( op(e3,e4) != e0
& op(e3,e3) != e0
& op(e3,e2) != e0
& op(e3,e1) != e0
& op(e3,e0) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP55_prd])],[]) ).
fof(f97,definition,
( sP56_prd
<=> ( op(e4,e3) != e0
& op(e3,e3) != e0
& op(e2,e3) != e0
& op(e1,e3) != e0
& op(e0,e3) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP56_prd])],[]) ).
fof(f98,definition,
( sP57_prd
<=> ( op(e3,e4) != e1
& op(e3,e3) != e1
& op(e3,e2) != e1
& op(e3,e1) != e1
& op(e3,e0) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP57_prd])],[]) ).
fof(f99,definition,
( sP58_prd
<=> ( op(e4,e3) != e1
& op(e3,e3) != e1
& op(e2,e3) != e1
& op(e1,e3) != e1
& op(e0,e3) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP58_prd])],[]) ).
fof(f100,definition,
( sP59_prd
<=> ( op(e3,e4) != e2
& op(e3,e3) != e2
& op(e3,e2) != e2
& op(e3,e1) != e2
& op(e3,e0) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP59_prd])],[]) ).
fof(f101,definition,
( sP60_prd
<=> ( op(e4,e3) != e2
& op(e3,e3) != e2
& op(e2,e3) != e2
& op(e1,e3) != e2
& op(e0,e3) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP60_prd])],[]) ).
fof(f102,definition,
( sP61_prd
<=> ( op(e3,e4) != e3
& op(e3,e3) != e3
& op(e3,e2) != e3
& op(e3,e1) != e3
& op(e3,e0) != e3 ) ),
introduced(definition,[new_symbols(definition,[sP61_prd])],[]) ).
fof(f103,definition,
( sP62_prd
<=> ( op(e4,e3) != e3
& op(e3,e3) != e3
& op(e2,e3) != e3
& op(e1,e3) != e3
& op(e0,e3) != e3 ) ),
introduced(definition,[new_symbols(definition,[sP62_prd])],[]) ).
fof(f104,definition,
( sP63_prd
<=> ( op(e3,e4) != e4
& op(e3,e3) != e4
& op(e3,e2) != e4
& op(e3,e1) != e4
& op(e3,e0) != e4 ) ),
introduced(definition,[new_symbols(definition,[sP63_prd])],[]) ).
fof(f105,definition,
( sP64_prd
<=> ( op(e4,e3) != e4
& op(e3,e3) != e4
& op(e2,e3) != e4
& op(e1,e3) != e4
& op(e0,e3) != e4 ) ),
introduced(definition,[new_symbols(definition,[sP64_prd])],[]) ).
fof(f106,definition,
( sP65_prd
<=> ( op(e4,e4) != e0
& op(e4,e3) != e0
& op(e4,e2) != e0
& op(e4,e1) != e0
& op(e4,e0) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP65_prd])],[]) ).
fof(f107,definition,
( sP66_prd
<=> ( op(e4,e4) != e0
& op(e3,e4) != e0
& op(e2,e4) != e0
& op(e1,e4) != e0
& op(e0,e4) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP66_prd])],[]) ).
fof(f108,definition,
( sP67_prd
<=> ( op(e4,e4) != e1
& op(e4,e3) != e1
& op(e4,e2) != e1
& op(e4,e1) != e1
& op(e4,e0) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP67_prd])],[]) ).
fof(f109,definition,
( sP68_prd
<=> ( op(e4,e4) != e1
& op(e3,e4) != e1
& op(e2,e4) != e1
& op(e1,e4) != e1
& op(e0,e4) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP68_prd])],[]) ).
fof(f110,definition,
( sP69_prd
<=> ( op(e4,e4) != e2
& op(e4,e3) != e2
& op(e4,e2) != e2
& op(e4,e1) != e2
& op(e4,e0) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP69_prd])],[]) ).
fof(f111,definition,
( sP70_prd
<=> ( op(e4,e4) != e2
& op(e3,e4) != e2
& op(e2,e4) != e2
& op(e1,e4) != e2
& op(e0,e4) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP70_prd])],[]) ).
fof(f112,definition,
( sP71_prd
<=> ( op(e4,e4) != e3
& op(e4,e3) != e3
& op(e4,e2) != e3
& op(e4,e1) != e3
& op(e4,e0) != e3 ) ),
introduced(definition,[new_symbols(definition,[sP71_prd])],[]) ).
fof(f113,definition,
( sP72_prd
<=> ( op(e4,e4) != e3
& op(e3,e4) != e3
& op(e2,e4) != e3
& op(e1,e4) != e3
& op(e0,e4) != e3 ) ),
introduced(definition,[new_symbols(definition,[sP72_prd])],[]) ).
fof(f114,definition,
( sP73_prd
<=> ( op(e4,e4) != e4
& op(e4,e3) != e4
& op(e4,e2) != e4
& op(e4,e1) != e4
& op(e4,e0) != e4 ) ),
introduced(definition,[new_symbols(definition,[sP73_prd])],[]) ).
fof(f115,plain,
( op(op(e4,e4),op(e4,e4)) != e4
| op(op(e3,e4),op(e4,e3)) != e4
| op(op(e2,e4),op(e4,e2)) != e4
| op(op(e1,e4),op(e4,e1)) != e4
| op(op(e0,e4),op(e4,e0)) != e4
| op(op(e4,e3),op(e3,e4)) != e3
| op(op(e3,e3),op(e3,e3)) != e3
| op(op(e2,e3),op(e3,e2)) != e3
| op(op(e1,e3),op(e3,e1)) != e3
| op(op(e0,e3),op(e3,e0)) != e3
| op(op(e4,e2),op(e2,e4)) != e2
| op(op(e3,e2),op(e2,e3)) != e2
| op(op(e2,e2),op(e2,e2)) != e2
| op(op(e1,e2),op(e2,e1)) != e2
| op(op(e0,e2),op(e2,e0)) != e2
| op(op(e4,e1),op(e1,e4)) != e1
| op(op(e3,e1),op(e1,e3)) != e1
| op(op(e2,e1),op(e1,e2)) != e1
| op(op(e1,e1),op(e1,e1)) != e1
| op(op(e0,e1),op(e1,e0)) != e1
| op(op(e4,e0),op(e0,e4)) != e0
| op(op(e3,e0),op(e0,e3)) != e0
| op(op(e2,e0),op(e0,e2)) != e0
| op(op(e1,e0),op(e0,e1)) != e0
| op(op(e0,e0),op(e0,e0)) != e0
| ( op(e4,e4) != e4
& op(e3,e4) != e4
& op(e2,e4) != e4
& op(e1,e4) != e4
& op(e0,e4) != e4 )
| sP73_prd
| sP72_prd
| sP71_prd
| sP70_prd
| sP69_prd
| sP68_prd
| sP67_prd
| sP66_prd
| sP65_prd
| sP64_prd
| sP63_prd
| sP62_prd
| sP61_prd
| sP60_prd
| sP59_prd
| sP58_prd
| sP57_prd
| sP56_prd
| sP55_prd
| sP54_prd
| sP53_prd
| sP52_prd
| sP51_prd
| sP50_prd
| sP49_prd
| sP48_prd
| sP47_prd
| sP46_prd
| sP45_prd
| sP44_prd
| sP43_prd
| sP42_prd
| sP41_prd
| sP40_prd
| sP39_prd
| sP38_prd
| sP37_prd
| sP36_prd
| sP35_prd
| sP34_prd
| sP33_prd
| sP32_prd
| sP31_prd
| sP30_prd
| sP29_prd
| sP28_prd
| sP27_prd
| sP26_prd
| sP25_prd
| sP24_prd
| sP23_prd
| sP22_prd
| sP21_prd
| sP20_prd
| sP19_prd
| sP18_prd
| sP17_prd
| sP16_prd
| sP15_prd
| sP14_prd
| sP13_prd
| sP12_prd
| sP11_prd
| sP10_prd
| sP9_prd
| sP8_prd
| sP7_prd
| sP6_prd
| sP5_prd
| sP4_prd
| sP3_prd
| sP2_prd
| sP1_prd
| sP0_prd
| op(op(e4,e4),e4) != e4
| op(op(e4,e3),e3) != e4
| op(op(e4,e2),e2) != e4
| op(op(e4,e1),e1) != e4
| op(op(e4,e0),e0) != e4
| op(op(e3,e4),e4) != e3
| op(op(e3,e3),e3) != e3
| op(op(e3,e2),e2) != e3
| op(op(e3,e1),e1) != e3
| op(op(e3,e0),e0) != e3
| op(op(e2,e4),e4) != e2
| op(op(e2,e3),e3) != e2
| op(op(e2,e2),e2) != e2
| op(op(e2,e1),e1) != e2
| op(op(e2,e0),e0) != e2
| op(op(e1,e4),e4) != e1
| op(op(e1,e3),e3) != e1
| op(op(e1,e2),e2) != e1
| op(op(e1,e1),e1) != e1
| op(op(e1,e0),e0) != e1
| op(op(e0,e4),e4) != e0
| op(op(e0,e3),e3) != e0
| op(op(e0,e2),e2) != e0
| op(op(e0,e1),e1) != e0
| op(op(e0,e0),e0) != e0 ),
inference(formula_renaming,[status(thm)],[f40,f114,f113,f112,f111,f110,f109,f108,f107,f106,f105,f104,f103,f102,f101,f100,f99,f98,f97,f96,f95,f94,f93,f92,f91,f90,f89,f88,f87,f86,f85,f84,f83,f82,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41]) ).
fof(f120,plain,
( op(op(e4,e4),op(e4,e4)) != e4
| op(op(e3,e4),op(e4,e3)) != e4
| op(op(e2,e4),op(e4,e2)) != e4
| op(op(e1,e4),op(e4,e1)) != e4
| op(op(e0,e4),op(e4,e0)) != e4
| op(op(e4,e3),op(e3,e4)) != e3
| op(op(e3,e3),op(e3,e3)) != e3
| op(op(e2,e3),op(e3,e2)) != e3
| op(op(e1,e3),op(e3,e1)) != e3
| op(op(e0,e3),op(e3,e0)) != e3
| op(op(e4,e2),op(e2,e4)) != e2
| op(op(e3,e2),op(e2,e3)) != e2
| op(op(e2,e2),op(e2,e2)) != e2
| op(op(e1,e2),op(e2,e1)) != e2
| op(op(e0,e2),op(e2,e0)) != e2
| op(op(e4,e1),op(e1,e4)) != e1
| op(op(e3,e1),op(e1,e3)) != e1
| op(op(e2,e1),op(e1,e2)) != e1
| op(op(e1,e1),op(e1,e1)) != e1
| op(op(e0,e1),op(e1,e0)) != e1
| op(op(e4,e0),op(e0,e4)) != e0
| op(op(e3,e0),op(e0,e3)) != e0
| op(op(e2,e0),op(e0,e2)) != e0
| op(op(e1,e0),op(e0,e1)) != e0
| op(op(e0,e0),op(e0,e0)) != e0
| op(e4,e4) != e4
| sP73_prd
| sP72_prd
| sP71_prd
| sP70_prd
| sP69_prd
| sP68_prd
| sP67_prd
| sP66_prd
| sP65_prd
| sP64_prd
| sP63_prd
| sP62_prd
| sP61_prd
| sP60_prd
| sP59_prd
| sP58_prd
| sP57_prd
| sP56_prd
| sP55_prd
| sP54_prd
| sP53_prd
| sP52_prd
| sP51_prd
| sP50_prd
| sP49_prd
| sP48_prd
| sP47_prd
| sP46_prd
| sP45_prd
| sP44_prd
| sP43_prd
| sP42_prd
| sP41_prd
| sP40_prd
| sP39_prd
| sP38_prd
| sP37_prd
| sP36_prd
| sP35_prd
| sP34_prd
| sP33_prd
| sP32_prd
| sP31_prd
| sP30_prd
| sP29_prd
| sP28_prd
| sP27_prd
| sP26_prd
| sP25_prd
| sP24_prd
| sP23_prd
| sP22_prd
| sP21_prd
| sP20_prd
| sP19_prd
| sP18_prd
| sP17_prd
| sP16_prd
| sP15_prd
| sP14_prd
| sP13_prd
| sP12_prd
| sP11_prd
| sP10_prd
| sP9_prd
| sP8_prd
| sP7_prd
| sP6_prd
| sP5_prd
| sP4_prd
| sP3_prd
| sP2_prd
| sP1_prd
| sP0_prd
| op(op(e4,e4),e4) != e4
| op(op(e4,e3),e3) != e4
| op(op(e4,e2),e2) != e4
| op(op(e4,e1),e1) != e4
| op(op(e4,e0),e0) != e4
| op(op(e3,e4),e4) != e3
| op(op(e3,e3),e3) != e3
| op(op(e3,e2),e2) != e3
| op(op(e3,e1),e1) != e3
| op(op(e3,e0),e0) != e3
| op(op(e2,e4),e4) != e2
| op(op(e2,e3),e3) != e2
| op(op(e2,e2),e2) != e2
| op(op(e2,e1),e1) != e2
| op(op(e2,e0),e0) != e2
| op(op(e1,e4),e4) != e1
| op(op(e1,e3),e3) != e1
| op(op(e1,e2),e2) != e1
| op(op(e1,e1),e1) != e1
| op(op(e1,e0),e0) != e1
| op(op(e0,e4),e4) != e0
| op(op(e0,e3),e3) != e0
| op(op(e0,e2),e2) != e0
| op(op(e0,e1),e1) != e0
| op(op(e0,e0),e0) != e0 ),
inference(cnf_transformation,[status(thm)],[f115]) ).
fof(f121,plain,
( ( op(e0,e0) = e4
| op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0
| sP0_prd )
& ( ( op(e0,e0) != e4
& op(e0,e0) != e3
& op(e0,e0) != e2
& op(e0,e0) != e1
& op(e0,e0) != e0 )
| ~ sP0_prd ) ),
inference(NNF_transformation,[status(thm)],[f41]) ).
fof(f122,plain,
( op(e0,e0) != e0
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f121]) ).
fof(f128,plain,
( ( op(e0,e1) = e4
| op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0
| sP1_prd )
& ( ( op(e0,e1) != e4
& op(e0,e1) != e3
& op(e0,e1) != e2
& op(e0,e1) != e1
& op(e0,e1) != e0 )
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f42]) ).
fof(f132,plain,
( op(e0,e1) != e3
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f128]) ).
fof(f135,plain,
( ( op(e0,e2) = e4
| op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0
| sP2_prd )
& ( ( op(e0,e2) != e4
& op(e0,e2) != e3
& op(e0,e2) != e2
& op(e0,e2) != e1
& op(e0,e2) != e0 )
| ~ sP2_prd ) ),
inference(NNF_transformation,[status(thm)],[f43]) ).
fof(f140,plain,
( op(e0,e2) != e4
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f135]) ).
fof(f142,plain,
( ( op(e0,e3) = e4
| op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0
| sP3_prd )
& ( ( op(e0,e3) != e4
& op(e0,e3) != e3
& op(e0,e3) != e2
& op(e0,e3) != e1
& op(e0,e3) != e0 )
| ~ sP3_prd ) ),
inference(NNF_transformation,[status(thm)],[f44]) ).
fof(f145,plain,
( op(e0,e3) != e2
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f149,plain,
( ( op(e0,e4) = e4
| op(e0,e4) = e3
| op(e0,e4) = e2
| op(e0,e4) = e1
| op(e0,e4) = e0
| sP4_prd )
& ( ( op(e0,e4) != e4
& op(e0,e4) != e3
& op(e0,e4) != e2
& op(e0,e4) != e1
& op(e0,e4) != e0 )
| ~ sP4_prd ) ),
inference(NNF_transformation,[status(thm)],[f45]) ).
fof(f151,plain,
( op(e0,e4) != e1
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f149]) ).
fof(f156,plain,
( ( op(e1,e0) = e4
| op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0
| sP5_prd )
& ( ( op(e1,e0) != e4
& op(e1,e0) != e3
& op(e1,e0) != e2
& op(e1,e0) != e1
& op(e1,e0) != e0 )
| ~ sP5_prd ) ),
inference(NNF_transformation,[status(thm)],[f46]) ).
fof(f159,plain,
( op(e1,e0) != e2
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f156]) ).
fof(f163,plain,
( ( op(e1,e1) = e4
| op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0
| sP6_prd )
& ( ( op(e1,e1) != e4
& op(e1,e1) != e3
& op(e1,e1) != e2
& op(e1,e1) != e1
& op(e1,e1) != e0 )
| ~ sP6_prd ) ),
inference(NNF_transformation,[status(thm)],[f47]) ).
fof(f165,plain,
( op(e1,e1) != e1
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f163]) ).
fof(f170,plain,
( ( op(e1,e2) = e4
| op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0
| sP7_prd )
& ( ( op(e1,e2) != e4
& op(e1,e2) != e3
& op(e1,e2) != e2
& op(e1,e2) != e1
& op(e1,e2) != e0 )
| ~ sP7_prd ) ),
inference(NNF_transformation,[status(thm)],[f48]) ).
fof(f174,plain,
( op(e1,e2) != e3
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f170]) ).
fof(f177,plain,
( ( op(e1,e3) = e4
| op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0
| sP8_prd )
& ( ( op(e1,e3) != e4
& op(e1,e3) != e3
& op(e1,e3) != e2
& op(e1,e3) != e1
& op(e1,e3) != e0 )
| ~ sP8_prd ) ),
inference(NNF_transformation,[status(thm)],[f49]) ).
fof(f182,plain,
( op(e1,e3) != e4
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f177]) ).
fof(f184,plain,
( ( op(e1,e4) = e4
| op(e1,e4) = e3
| op(e1,e4) = e2
| op(e1,e4) = e1
| op(e1,e4) = e0
| sP9_prd )
& ( ( op(e1,e4) != e4
& op(e1,e4) != e3
& op(e1,e4) != e2
& op(e1,e4) != e1
& op(e1,e4) != e0 )
| ~ sP9_prd ) ),
inference(NNF_transformation,[status(thm)],[f50]) ).
fof(f185,plain,
( op(e1,e4) != e0
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f184]) ).
fof(f191,plain,
( ( op(e2,e0) = e4
| op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0
| sP10_prd )
& ( ( op(e2,e0) != e4
& op(e2,e0) != e3
& op(e2,e0) != e2
& op(e2,e0) != e1
& op(e2,e0) != e0 )
| ~ sP10_prd ) ),
inference(NNF_transformation,[status(thm)],[f51]) ).
fof(f193,plain,
( op(e2,e0) != e1
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f198,plain,
( ( op(e2,e1) = e4
| op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0
| sP11_prd )
& ( ( op(e2,e1) != e4
& op(e2,e1) != e3
& op(e2,e1) != e2
& op(e2,e1) != e1
& op(e2,e1) != e0 )
| ~ sP11_prd ) ),
inference(NNF_transformation,[status(thm)],[f52]) ).
fof(f203,plain,
( op(e2,e1) != e4
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f198]) ).
fof(f205,plain,
( ( op(e2,e2) = e4
| op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0
| sP12_prd )
& ( ( op(e2,e2) != e4
& op(e2,e2) != e3
& op(e2,e2) != e2
& op(e2,e2) != e1
& op(e2,e2) != e0 )
| ~ sP12_prd ) ),
inference(NNF_transformation,[status(thm)],[f53]) ).
fof(f208,plain,
( op(e2,e2) != e2
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f205]) ).
fof(f212,plain,
( ( op(e2,e3) = e4
| op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0
| sP13_prd )
& ( ( op(e2,e3) != e4
& op(e2,e3) != e3
& op(e2,e3) != e2
& op(e2,e3) != e1
& op(e2,e3) != e0 )
| ~ sP13_prd ) ),
inference(NNF_transformation,[status(thm)],[f54]) ).
fof(f213,plain,
( op(e2,e3) != e0
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f212]) ).
fof(f219,plain,
( ( op(e2,e4) = e4
| op(e2,e4) = e3
| op(e2,e4) = e2
| op(e2,e4) = e1
| op(e2,e4) = e0
| sP14_prd )
& ( ( op(e2,e4) != e4
& op(e2,e4) != e3
& op(e2,e4) != e2
& op(e2,e4) != e1
& op(e2,e4) != e0 )
| ~ sP14_prd ) ),
inference(NNF_transformation,[status(thm)],[f55]) ).
fof(f223,plain,
( op(e2,e4) != e3
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f219]) ).
fof(f226,plain,
( ( op(e3,e0) = e4
| op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0
| sP15_prd )
& ( ( op(e3,e0) != e4
& op(e3,e0) != e3
& op(e3,e0) != e2
& op(e3,e0) != e1
& op(e3,e0) != e0 )
| ~ sP15_prd ) ),
inference(NNF_transformation,[status(thm)],[f56]) ).
fof(f231,plain,
( op(e3,e0) != e4
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f226]) ).
fof(f233,plain,
( ( op(e3,e1) = e4
| op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0
| sP16_prd )
& ( ( op(e3,e1) != e4
& op(e3,e1) != e3
& op(e3,e1) != e2
& op(e3,e1) != e1
& op(e3,e1) != e0 )
| ~ sP16_prd ) ),
inference(NNF_transformation,[status(thm)],[f57]) ).
fof(f234,plain,
( op(e3,e1) != e0
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f233]) ).
fof(f240,plain,
( ( op(e3,e2) = e4
| op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0
| sP17_prd )
& ( ( op(e3,e2) != e4
& op(e3,e2) != e3
& op(e3,e2) != e2
& op(e3,e2) != e1
& op(e3,e2) != e0 )
| ~ sP17_prd ) ),
inference(NNF_transformation,[status(thm)],[f58]) ).
fof(f242,plain,
( op(e3,e2) != e1
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f240]) ).
fof(f247,plain,
( ( op(e3,e3) = e4
| op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0
| sP18_prd )
& ( ( op(e3,e3) != e4
& op(e3,e3) != e3
& op(e3,e3) != e2
& op(e3,e3) != e1
& op(e3,e3) != e0 )
| ~ sP18_prd ) ),
inference(NNF_transformation,[status(thm)],[f59]) ).
fof(f251,plain,
( op(e3,e3) != e3
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f247]) ).
fof(f254,plain,
( ( op(e3,e4) = e4
| op(e3,e4) = e3
| op(e3,e4) = e2
| op(e3,e4) = e1
| op(e3,e4) = e0
| sP19_prd )
& ( ( op(e3,e4) != e4
& op(e3,e4) != e3
& op(e3,e4) != e2
& op(e3,e4) != e1
& op(e3,e4) != e0 )
| ~ sP19_prd ) ),
inference(NNF_transformation,[status(thm)],[f60]) ).
fof(f257,plain,
( op(e3,e4) != e2
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f254]) ).
fof(f261,plain,
( ( op(e4,e0) = e4
| op(e4,e0) = e3
| op(e4,e0) = e2
| op(e4,e0) = e1
| op(e4,e0) = e0
| sP20_prd )
& ( ( op(e4,e0) != e4
& op(e4,e0) != e3
& op(e4,e0) != e2
& op(e4,e0) != e1
& op(e4,e0) != e0 )
| ~ sP20_prd ) ),
inference(NNF_transformation,[status(thm)],[f61]) ).
fof(f265,plain,
( op(e4,e0) != e3
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f261]) ).
fof(f268,plain,
( ( op(e4,e1) = e4
| op(e4,e1) = e3
| op(e4,e1) = e2
| op(e4,e1) = e1
| op(e4,e1) = e0
| sP21_prd )
& ( ( op(e4,e1) != e4
& op(e4,e1) != e3
& op(e4,e1) != e2
& op(e4,e1) != e1
& op(e4,e1) != e0 )
| ~ sP21_prd ) ),
inference(NNF_transformation,[status(thm)],[f62]) ).
fof(f271,plain,
( op(e4,e1) != e2
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f268]) ).
fof(f275,plain,
( ( op(e4,e2) = e4
| op(e4,e2) = e3
| op(e4,e2) = e2
| op(e4,e2) = e1
| op(e4,e2) = e0
| sP22_prd )
& ( ( op(e4,e2) != e4
& op(e4,e2) != e3
& op(e4,e2) != e2
& op(e4,e2) != e1
& op(e4,e2) != e0 )
| ~ sP22_prd ) ),
inference(NNF_transformation,[status(thm)],[f63]) ).
fof(f276,plain,
( op(e4,e2) != e0
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f275]) ).
fof(f282,plain,
( ( op(e4,e3) = e4
| op(e4,e3) = e3
| op(e4,e3) = e2
| op(e4,e3) = e1
| op(e4,e3) = e0
| sP23_prd )
& ( ( op(e4,e3) != e4
& op(e4,e3) != e3
& op(e4,e3) != e2
& op(e4,e3) != e1
& op(e4,e3) != e0 )
| ~ sP23_prd ) ),
inference(NNF_transformation,[status(thm)],[f64]) ).
fof(f284,plain,
( op(e4,e3) != e1
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f282]) ).
fof(f289,plain,
( ( op(e4,e4) = e4
| op(e4,e4) = e3
| op(e4,e4) = e2
| op(e4,e4) = e1
| op(e4,e4) = e0
| sP24_prd )
& ( ( op(e4,e4) != e4
& op(e4,e4) != e3
& op(e4,e4) != e2
& op(e4,e4) != e1
& op(e4,e4) != e0 )
| ~ sP24_prd ) ),
inference(NNF_transformation,[status(thm)],[f65]) ).
fof(f294,plain,
( op(e4,e4) != e4
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f289]) ).
fof(f296,plain,
( ( op(e0,e4) = e0
| op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0
| sP25_prd )
& ( ( op(e0,e4) != e0
& op(e0,e3) != e0
& op(e0,e2) != e0
& op(e0,e1) != e0
& op(e0,e0) != e0 )
| ~ sP25_prd ) ),
inference(NNF_transformation,[status(thm)],[f66]) ).
fof(f297,plain,
( op(e0,e0) != e0
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f296]) ).
fof(f303,plain,
( ( op(e4,e0) = e0
| op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0
| sP26_prd )
& ( ( op(e4,e0) != e0
& op(e3,e0) != e0
& op(e2,e0) != e0
& op(e1,e0) != e0
& op(e0,e0) != e0 )
| ~ sP26_prd ) ),
inference(NNF_transformation,[status(thm)],[f67]) ).
fof(f304,plain,
( op(e0,e0) != e0
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f303]) ).
fof(f310,plain,
( ( op(e0,e4) = e1
| op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1
| sP27_prd )
& ( ( op(e0,e4) != e1
& op(e0,e3) != e1
& op(e0,e2) != e1
& op(e0,e1) != e1
& op(e0,e0) != e1 )
| ~ sP27_prd ) ),
inference(NNF_transformation,[status(thm)],[f68]) ).
fof(f315,plain,
( op(e0,e4) != e1
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f310]) ).
fof(f317,plain,
( ( op(e4,e0) = e1
| op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1
| sP28_prd )
& ( ( op(e4,e0) != e1
& op(e3,e0) != e1
& op(e2,e0) != e1
& op(e1,e0) != e1
& op(e0,e0) != e1 )
| ~ sP28_prd ) ),
inference(NNF_transformation,[status(thm)],[f69]) ).
fof(f320,plain,
( op(e2,e0) != e1
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f317]) ).
fof(f324,plain,
( ( op(e0,e4) = e2
| op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2
| sP29_prd )
& ( ( op(e0,e4) != e2
& op(e0,e3) != e2
& op(e0,e2) != e2
& op(e0,e1) != e2
& op(e0,e0) != e2 )
| ~ sP29_prd ) ),
inference(NNF_transformation,[status(thm)],[f70]) ).
fof(f328,plain,
( op(e0,e3) != e2
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f324]) ).
fof(f331,plain,
( ( op(e4,e0) = e2
| op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2
| sP30_prd )
& ( ( op(e4,e0) != e2
& op(e3,e0) != e2
& op(e2,e0) != e2
& op(e1,e0) != e2
& op(e0,e0) != e2 )
| ~ sP30_prd ) ),
inference(NNF_transformation,[status(thm)],[f71]) ).
fof(f333,plain,
( op(e1,e0) != e2
| ~ sP30_prd ),
inference(cnf_transformation,[status(thm)],[f331]) ).
fof(f338,plain,
( ( op(e0,e4) = e3
| op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3
| sP31_prd )
& ( ( op(e0,e4) != e3
& op(e0,e3) != e3
& op(e0,e2) != e3
& op(e0,e1) != e3
& op(e0,e0) != e3 )
| ~ sP31_prd ) ),
inference(NNF_transformation,[status(thm)],[f72]) ).
fof(f340,plain,
( op(e0,e1) != e3
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f338]) ).
fof(f345,plain,
( ( op(e4,e0) = e3
| op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3
| sP32_prd )
& ( ( op(e4,e0) != e3
& op(e3,e0) != e3
& op(e2,e0) != e3
& op(e1,e0) != e3
& op(e0,e0) != e3 )
| ~ sP32_prd ) ),
inference(NNF_transformation,[status(thm)],[f73]) ).
fof(f350,plain,
( op(e4,e0) != e3
| ~ sP32_prd ),
inference(cnf_transformation,[status(thm)],[f345]) ).
fof(f352,plain,
( ( op(e0,e4) = e4
| op(e0,e3) = e4
| op(e0,e2) = e4
| op(e0,e1) = e4
| op(e0,e0) = e4
| sP33_prd )
& ( ( op(e0,e4) != e4
& op(e0,e3) != e4
& op(e0,e2) != e4
& op(e0,e1) != e4
& op(e0,e0) != e4 )
| ~ sP33_prd ) ),
inference(NNF_transformation,[status(thm)],[f74]) ).
fof(f355,plain,
( op(e0,e2) != e4
| ~ sP33_prd ),
inference(cnf_transformation,[status(thm)],[f352]) ).
fof(f359,plain,
( ( op(e4,e0) = e4
| op(e3,e0) = e4
| op(e2,e0) = e4
| op(e1,e0) = e4
| op(e0,e0) = e4
| sP34_prd )
& ( ( op(e4,e0) != e4
& op(e3,e0) != e4
& op(e2,e0) != e4
& op(e1,e0) != e4
& op(e0,e0) != e4 )
| ~ sP34_prd ) ),
inference(NNF_transformation,[status(thm)],[f75]) ).
fof(f363,plain,
( op(e3,e0) != e4
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f359]) ).
fof(f366,plain,
( ( op(e1,e4) = e0
| op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0
| sP35_prd )
& ( ( op(e1,e4) != e0
& op(e1,e3) != e0
& op(e1,e2) != e0
& op(e1,e1) != e0
& op(e1,e0) != e0 )
| ~ sP35_prd ) ),
inference(NNF_transformation,[status(thm)],[f76]) ).
fof(f371,plain,
( op(e1,e4) != e0
| ~ sP35_prd ),
inference(cnf_transformation,[status(thm)],[f366]) ).
fof(f373,plain,
( ( op(e4,e1) = e0
| op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0
| sP36_prd )
& ( ( op(e4,e1) != e0
& op(e3,e1) != e0
& op(e2,e1) != e0
& op(e1,e1) != e0
& op(e0,e1) != e0 )
| ~ sP36_prd ) ),
inference(NNF_transformation,[status(thm)],[f77]) ).
fof(f377,plain,
( op(e3,e1) != e0
| ~ sP36_prd ),
inference(cnf_transformation,[status(thm)],[f373]) ).
fof(f380,plain,
( ( op(e1,e4) = e1
| op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1
| sP37_prd )
& ( ( op(e1,e4) != e1
& op(e1,e3) != e1
& op(e1,e2) != e1
& op(e1,e1) != e1
& op(e1,e0) != e1 )
| ~ sP37_prd ) ),
inference(NNF_transformation,[status(thm)],[f78]) ).
fof(f382,plain,
( op(e1,e1) != e1
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f380]) ).
fof(f387,plain,
( ( op(e4,e1) = e1
| op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1
| sP38_prd )
& ( ( op(e4,e1) != e1
& op(e3,e1) != e1
& op(e2,e1) != e1
& op(e1,e1) != e1
& op(e0,e1) != e1 )
| ~ sP38_prd ) ),
inference(NNF_transformation,[status(thm)],[f79]) ).
fof(f389,plain,
( op(e1,e1) != e1
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f387]) ).
fof(f394,plain,
( ( op(e1,e4) = e2
| op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2
| sP39_prd )
& ( ( op(e1,e4) != e2
& op(e1,e3) != e2
& op(e1,e2) != e2
& op(e1,e1) != e2
& op(e1,e0) != e2 )
| ~ sP39_prd ) ),
inference(NNF_transformation,[status(thm)],[f80]) ).
fof(f395,plain,
( op(e1,e0) != e2
| ~ sP39_prd ),
inference(cnf_transformation,[status(thm)],[f394]) ).
fof(f401,plain,
( ( op(e4,e1) = e2
| op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2
| sP40_prd )
& ( ( op(e4,e1) != e2
& op(e3,e1) != e2
& op(e2,e1) != e2
& op(e1,e1) != e2
& op(e0,e1) != e2 )
| ~ sP40_prd ) ),
inference(NNF_transformation,[status(thm)],[f81]) ).
fof(f406,plain,
( op(e4,e1) != e2
| ~ sP40_prd ),
inference(cnf_transformation,[status(thm)],[f401]) ).
fof(f408,plain,
( ( op(e1,e4) = e3
| op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3
| sP41_prd )
& ( ( op(e1,e4) != e3
& op(e1,e3) != e3
& op(e1,e2) != e3
& op(e1,e1) != e3
& op(e1,e0) != e3 )
| ~ sP41_prd ) ),
inference(NNF_transformation,[status(thm)],[f82]) ).
fof(f411,plain,
( op(e1,e2) != e3
| ~ sP41_prd ),
inference(cnf_transformation,[status(thm)],[f408]) ).
fof(f415,plain,
( ( op(e4,e1) = e3
| op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3
| sP42_prd )
& ( ( op(e4,e1) != e3
& op(e3,e1) != e3
& op(e2,e1) != e3
& op(e1,e1) != e3
& op(e0,e1) != e3 )
| ~ sP42_prd ) ),
inference(NNF_transformation,[status(thm)],[f83]) ).
fof(f416,plain,
( op(e0,e1) != e3
| ~ sP42_prd ),
inference(cnf_transformation,[status(thm)],[f415]) ).
fof(f422,plain,
( ( op(e1,e4) = e4
| op(e1,e3) = e4
| op(e1,e2) = e4
| op(e1,e1) = e4
| op(e1,e0) = e4
| sP43_prd )
& ( ( op(e1,e4) != e4
& op(e1,e3) != e4
& op(e1,e2) != e4
& op(e1,e1) != e4
& op(e1,e0) != e4 )
| ~ sP43_prd ) ),
inference(NNF_transformation,[status(thm)],[f84]) ).
fof(f426,plain,
( op(e1,e3) != e4
| ~ sP43_prd ),
inference(cnf_transformation,[status(thm)],[f422]) ).
fof(f429,plain,
( ( op(e4,e1) = e4
| op(e3,e1) = e4
| op(e2,e1) = e4
| op(e1,e1) = e4
| op(e0,e1) = e4
| sP44_prd )
& ( ( op(e4,e1) != e4
& op(e3,e1) != e4
& op(e2,e1) != e4
& op(e1,e1) != e4
& op(e0,e1) != e4 )
| ~ sP44_prd ) ),
inference(NNF_transformation,[status(thm)],[f85]) ).
fof(f432,plain,
( op(e2,e1) != e4
| ~ sP44_prd ),
inference(cnf_transformation,[status(thm)],[f429]) ).
fof(f436,plain,
( ( op(e2,e4) = e0
| op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0
| sP45_prd )
& ( ( op(e2,e4) != e0
& op(e2,e3) != e0
& op(e2,e2) != e0
& op(e2,e1) != e0
& op(e2,e0) != e0 )
| ~ sP45_prd ) ),
inference(NNF_transformation,[status(thm)],[f86]) ).
fof(f440,plain,
( op(e2,e3) != e0
| ~ sP45_prd ),
inference(cnf_transformation,[status(thm)],[f436]) ).
fof(f443,plain,
( ( op(e4,e2) = e0
| op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0
| sP46_prd )
& ( ( op(e4,e2) != e0
& op(e3,e2) != e0
& op(e2,e2) != e0
& op(e1,e2) != e0
& op(e0,e2) != e0 )
| ~ sP46_prd ) ),
inference(NNF_transformation,[status(thm)],[f87]) ).
fof(f448,plain,
( op(e4,e2) != e0
| ~ sP46_prd ),
inference(cnf_transformation,[status(thm)],[f443]) ).
fof(f450,plain,
( ( op(e2,e4) = e1
| op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1
| sP47_prd )
& ( ( op(e2,e4) != e1
& op(e2,e3) != e1
& op(e2,e2) != e1
& op(e2,e1) != e1
& op(e2,e0) != e1 )
| ~ sP47_prd ) ),
inference(NNF_transformation,[status(thm)],[f88]) ).
fof(f451,plain,
( op(e2,e0) != e1
| ~ sP47_prd ),
inference(cnf_transformation,[status(thm)],[f450]) ).
fof(f457,plain,
( ( op(e4,e2) = e1
| op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1
| sP48_prd )
& ( ( op(e4,e2) != e1
& op(e3,e2) != e1
& op(e2,e2) != e1
& op(e1,e2) != e1
& op(e0,e2) != e1 )
| ~ sP48_prd ) ),
inference(NNF_transformation,[status(thm)],[f89]) ).
fof(f461,plain,
( op(e3,e2) != e1
| ~ sP48_prd ),
inference(cnf_transformation,[status(thm)],[f457]) ).
fof(f464,plain,
( ( op(e2,e4) = e2
| op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2
| sP49_prd )
& ( ( op(e2,e4) != e2
& op(e2,e3) != e2
& op(e2,e2) != e2
& op(e2,e1) != e2
& op(e2,e0) != e2 )
| ~ sP49_prd ) ),
inference(NNF_transformation,[status(thm)],[f90]) ).
fof(f467,plain,
( op(e2,e2) != e2
| ~ sP49_prd ),
inference(cnf_transformation,[status(thm)],[f464]) ).
fof(f471,plain,
( ( op(e4,e2) = e2
| op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2
| sP50_prd )
& ( ( op(e4,e2) != e2
& op(e3,e2) != e2
& op(e2,e2) != e2
& op(e1,e2) != e2
& op(e0,e2) != e2 )
| ~ sP50_prd ) ),
inference(NNF_transformation,[status(thm)],[f91]) ).
fof(f474,plain,
( op(e2,e2) != e2
| ~ sP50_prd ),
inference(cnf_transformation,[status(thm)],[f471]) ).
fof(f478,plain,
( ( op(e2,e4) = e3
| op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3
| sP51_prd )
& ( ( op(e2,e4) != e3
& op(e2,e3) != e3
& op(e2,e2) != e3
& op(e2,e1) != e3
& op(e2,e0) != e3 )
| ~ sP51_prd ) ),
inference(NNF_transformation,[status(thm)],[f92]) ).
fof(f483,plain,
( op(e2,e4) != e3
| ~ sP51_prd ),
inference(cnf_transformation,[status(thm)],[f478]) ).
fof(f485,plain,
( ( op(e4,e2) = e3
| op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3
| sP52_prd )
& ( ( op(e4,e2) != e3
& op(e3,e2) != e3
& op(e2,e2) != e3
& op(e1,e2) != e3
& op(e0,e2) != e3 )
| ~ sP52_prd ) ),
inference(NNF_transformation,[status(thm)],[f93]) ).
fof(f487,plain,
( op(e1,e2) != e3
| ~ sP52_prd ),
inference(cnf_transformation,[status(thm)],[f485]) ).
fof(f492,plain,
( ( op(e2,e4) = e4
| op(e2,e3) = e4
| op(e2,e2) = e4
| op(e2,e1) = e4
| op(e2,e0) = e4
| sP53_prd )
& ( ( op(e2,e4) != e4
& op(e2,e3) != e4
& op(e2,e2) != e4
& op(e2,e1) != e4
& op(e2,e0) != e4 )
| ~ sP53_prd ) ),
inference(NNF_transformation,[status(thm)],[f94]) ).
fof(f494,plain,
( op(e2,e1) != e4
| ~ sP53_prd ),
inference(cnf_transformation,[status(thm)],[f492]) ).
fof(f499,plain,
( ( op(e4,e2) = e4
| op(e3,e2) = e4
| op(e2,e2) = e4
| op(e1,e2) = e4
| op(e0,e2) = e4
| sP54_prd )
& ( ( op(e4,e2) != e4
& op(e3,e2) != e4
& op(e2,e2) != e4
& op(e1,e2) != e4
& op(e0,e2) != e4 )
| ~ sP54_prd ) ),
inference(NNF_transformation,[status(thm)],[f95]) ).
fof(f500,plain,
( op(e0,e2) != e4
| ~ sP54_prd ),
inference(cnf_transformation,[status(thm)],[f499]) ).
fof(f506,plain,
( ( op(e3,e4) = e0
| op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0
| sP55_prd )
& ( ( op(e3,e4) != e0
& op(e3,e3) != e0
& op(e3,e2) != e0
& op(e3,e1) != e0
& op(e3,e0) != e0 )
| ~ sP55_prd ) ),
inference(NNF_transformation,[status(thm)],[f96]) ).
fof(f508,plain,
( op(e3,e1) != e0
| ~ sP55_prd ),
inference(cnf_transformation,[status(thm)],[f506]) ).
fof(f513,plain,
( ( op(e4,e3) = e0
| op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0
| sP56_prd )
& ( ( op(e4,e3) != e0
& op(e3,e3) != e0
& op(e2,e3) != e0
& op(e1,e3) != e0
& op(e0,e3) != e0 )
| ~ sP56_prd ) ),
inference(NNF_transformation,[status(thm)],[f97]) ).
fof(f516,plain,
( op(e2,e3) != e0
| ~ sP56_prd ),
inference(cnf_transformation,[status(thm)],[f513]) ).
fof(f520,plain,
( ( op(e3,e4) = e1
| op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1
| sP57_prd )
& ( ( op(e3,e4) != e1
& op(e3,e3) != e1
& op(e3,e2) != e1
& op(e3,e1) != e1
& op(e3,e0) != e1 )
| ~ sP57_prd ) ),
inference(NNF_transformation,[status(thm)],[f98]) ).
fof(f523,plain,
( op(e3,e2) != e1
| ~ sP57_prd ),
inference(cnf_transformation,[status(thm)],[f520]) ).
fof(f527,plain,
( ( op(e4,e3) = e1
| op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1
| sP58_prd )
& ( ( op(e4,e3) != e1
& op(e3,e3) != e1
& op(e2,e3) != e1
& op(e1,e3) != e1
& op(e0,e3) != e1 )
| ~ sP58_prd ) ),
inference(NNF_transformation,[status(thm)],[f99]) ).
fof(f532,plain,
( op(e4,e3) != e1
| ~ sP58_prd ),
inference(cnf_transformation,[status(thm)],[f527]) ).
fof(f534,plain,
( ( op(e3,e4) = e2
| op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2
| sP59_prd )
& ( ( op(e3,e4) != e2
& op(e3,e3) != e2
& op(e3,e2) != e2
& op(e3,e1) != e2
& op(e3,e0) != e2 )
| ~ sP59_prd ) ),
inference(NNF_transformation,[status(thm)],[f100]) ).
fof(f539,plain,
( op(e3,e4) != e2
| ~ sP59_prd ),
inference(cnf_transformation,[status(thm)],[f534]) ).
fof(f541,plain,
( ( op(e4,e3) = e2
| op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2
| sP60_prd )
& ( ( op(e4,e3) != e2
& op(e3,e3) != e2
& op(e2,e3) != e2
& op(e1,e3) != e2
& op(e0,e3) != e2 )
| ~ sP60_prd ) ),
inference(NNF_transformation,[status(thm)],[f101]) ).
fof(f542,plain,
( op(e0,e3) != e2
| ~ sP60_prd ),
inference(cnf_transformation,[status(thm)],[f541]) ).
fof(f548,plain,
( ( op(e3,e4) = e3
| op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3
| sP61_prd )
& ( ( op(e3,e4) != e3
& op(e3,e3) != e3
& op(e3,e2) != e3
& op(e3,e1) != e3
& op(e3,e0) != e3 )
| ~ sP61_prd ) ),
inference(NNF_transformation,[status(thm)],[f102]) ).
fof(f552,plain,
( op(e3,e3) != e3
| ~ sP61_prd ),
inference(cnf_transformation,[status(thm)],[f548]) ).
fof(f555,plain,
( ( op(e4,e3) = e3
| op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3
| sP62_prd )
& ( ( op(e4,e3) != e3
& op(e3,e3) != e3
& op(e2,e3) != e3
& op(e1,e3) != e3
& op(e0,e3) != e3 )
| ~ sP62_prd ) ),
inference(NNF_transformation,[status(thm)],[f103]) ).
fof(f559,plain,
( op(e3,e3) != e3
| ~ sP62_prd ),
inference(cnf_transformation,[status(thm)],[f555]) ).
fof(f562,plain,
( ( op(e3,e4) = e4
| op(e3,e3) = e4
| op(e3,e2) = e4
| op(e3,e1) = e4
| op(e3,e0) = e4
| sP63_prd )
& ( ( op(e3,e4) != e4
& op(e3,e3) != e4
& op(e3,e2) != e4
& op(e3,e1) != e4
& op(e3,e0) != e4 )
| ~ sP63_prd ) ),
inference(NNF_transformation,[status(thm)],[f104]) ).
fof(f563,plain,
( op(e3,e0) != e4
| ~ sP63_prd ),
inference(cnf_transformation,[status(thm)],[f562]) ).
fof(f569,plain,
( ( op(e4,e3) = e4
| op(e3,e3) = e4
| op(e2,e3) = e4
| op(e1,e3) = e4
| op(e0,e3) = e4
| sP64_prd )
& ( ( op(e4,e3) != e4
& op(e3,e3) != e4
& op(e2,e3) != e4
& op(e1,e3) != e4
& op(e0,e3) != e4 )
| ~ sP64_prd ) ),
inference(NNF_transformation,[status(thm)],[f105]) ).
fof(f571,plain,
( op(e1,e3) != e4
| ~ sP64_prd ),
inference(cnf_transformation,[status(thm)],[f569]) ).
fof(f576,plain,
( ( op(e4,e4) = e0
| op(e4,e3) = e0
| op(e4,e2) = e0
| op(e4,e1) = e0
| op(e4,e0) = e0
| sP65_prd )
& ( ( op(e4,e4) != e0
& op(e4,e3) != e0
& op(e4,e2) != e0
& op(e4,e1) != e0
& op(e4,e0) != e0 )
| ~ sP65_prd ) ),
inference(NNF_transformation,[status(thm)],[f106]) ).
fof(f579,plain,
( op(e4,e2) != e0
| ~ sP65_prd ),
inference(cnf_transformation,[status(thm)],[f576]) ).
fof(f583,plain,
( ( op(e4,e4) = e0
| op(e3,e4) = e0
| op(e2,e4) = e0
| op(e1,e4) = e0
| op(e0,e4) = e0
| sP66_prd )
& ( ( op(e4,e4) != e0
& op(e3,e4) != e0
& op(e2,e4) != e0
& op(e1,e4) != e0
& op(e0,e4) != e0 )
| ~ sP66_prd ) ),
inference(NNF_transformation,[status(thm)],[f107]) ).
fof(f585,plain,
( op(e1,e4) != e0
| ~ sP66_prd ),
inference(cnf_transformation,[status(thm)],[f583]) ).
fof(f590,plain,
( ( op(e4,e4) = e1
| op(e4,e3) = e1
| op(e4,e2) = e1
| op(e4,e1) = e1
| op(e4,e0) = e1
| sP67_prd )
& ( ( op(e4,e4) != e1
& op(e4,e3) != e1
& op(e4,e2) != e1
& op(e4,e1) != e1
& op(e4,e0) != e1 )
| ~ sP67_prd ) ),
inference(NNF_transformation,[status(thm)],[f108]) ).
fof(f594,plain,
( op(e4,e3) != e1
| ~ sP67_prd ),
inference(cnf_transformation,[status(thm)],[f590]) ).
fof(f597,plain,
( ( op(e4,e4) = e1
| op(e3,e4) = e1
| op(e2,e4) = e1
| op(e1,e4) = e1
| op(e0,e4) = e1
| sP68_prd )
& ( ( op(e4,e4) != e1
& op(e3,e4) != e1
& op(e2,e4) != e1
& op(e1,e4) != e1
& op(e0,e4) != e1 )
| ~ sP68_prd ) ),
inference(NNF_transformation,[status(thm)],[f109]) ).
fof(f598,plain,
( op(e0,e4) != e1
| ~ sP68_prd ),
inference(cnf_transformation,[status(thm)],[f597]) ).
fof(f604,plain,
( ( op(e4,e4) = e2
| op(e4,e3) = e2
| op(e4,e2) = e2
| op(e4,e1) = e2
| op(e4,e0) = e2
| sP69_prd )
& ( ( op(e4,e4) != e2
& op(e4,e3) != e2
& op(e4,e2) != e2
& op(e4,e1) != e2
& op(e4,e0) != e2 )
| ~ sP69_prd ) ),
inference(NNF_transformation,[status(thm)],[f110]) ).
fof(f606,plain,
( op(e4,e1) != e2
| ~ sP69_prd ),
inference(cnf_transformation,[status(thm)],[f604]) ).
fof(f611,plain,
( ( op(e4,e4) = e2
| op(e3,e4) = e2
| op(e2,e4) = e2
| op(e1,e4) = e2
| op(e0,e4) = e2
| sP70_prd )
& ( ( op(e4,e4) != e2
& op(e3,e4) != e2
& op(e2,e4) != e2
& op(e1,e4) != e2
& op(e0,e4) != e2 )
| ~ sP70_prd ) ),
inference(NNF_transformation,[status(thm)],[f111]) ).
fof(f615,plain,
( op(e3,e4) != e2
| ~ sP70_prd ),
inference(cnf_transformation,[status(thm)],[f611]) ).
fof(f618,plain,
( ( op(e4,e4) = e3
| op(e4,e3) = e3
| op(e4,e2) = e3
| op(e4,e1) = e3
| op(e4,e0) = e3
| sP71_prd )
& ( ( op(e4,e4) != e3
& op(e4,e3) != e3
& op(e4,e2) != e3
& op(e4,e1) != e3
& op(e4,e0) != e3 )
| ~ sP71_prd ) ),
inference(NNF_transformation,[status(thm)],[f112]) ).
fof(f619,plain,
( op(e4,e0) != e3
| ~ sP71_prd ),
inference(cnf_transformation,[status(thm)],[f618]) ).
fof(f625,plain,
( ( op(e4,e4) = e3
| op(e3,e4) = e3
| op(e2,e4) = e3
| op(e1,e4) = e3
| op(e0,e4) = e3
| sP72_prd )
& ( ( op(e4,e4) != e3
& op(e3,e4) != e3
& op(e2,e4) != e3
& op(e1,e4) != e3
& op(e0,e4) != e3 )
| ~ sP72_prd ) ),
inference(NNF_transformation,[status(thm)],[f113]) ).
fof(f628,plain,
( op(e2,e4) != e3
| ~ sP72_prd ),
inference(cnf_transformation,[status(thm)],[f625]) ).
fof(f632,plain,
( ( op(e4,e4) = e4
| op(e4,e3) = e4
| op(e4,e2) = e4
| op(e4,e1) = e4
| op(e4,e0) = e4
| sP73_prd )
& ( ( op(e4,e4) != e4
& op(e4,e3) != e4
& op(e4,e2) != e4
& op(e4,e1) != e4
& op(e4,e0) != e4 )
| ~ sP73_prd ) ),
inference(NNF_transformation,[status(thm)],[f114]) ).
fof(f637,plain,
( op(e4,e4) != e4
| ~ sP73_prd ),
inference(cnf_transformation,[status(thm)],[f632]) ).
fof(f639,definition,
( sQ0_spl
<=> op(op(e0,e0),e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f641,plain,
( sQ0_spl
| op(op(e0,e0),e0) != e0 ),
inference(component_clause,[status(thm)],[f639]) ).
fof(f642,definition,
( sQ1_spl
<=> op(op(e0,e1),e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f644,plain,
( sQ1_spl
| op(op(e0,e1),e1) != e0 ),
inference(component_clause,[status(thm)],[f642]) ).
fof(f645,definition,
( sQ2_spl
<=> op(op(e0,e2),e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f647,plain,
( sQ2_spl
| op(op(e0,e2),e2) != e0 ),
inference(component_clause,[status(thm)],[f645]) ).
fof(f648,definition,
( sQ3_spl
<=> op(op(e0,e3),e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f650,plain,
( sQ3_spl
| op(op(e0,e3),e3) != e0 ),
inference(component_clause,[status(thm)],[f648]) ).
fof(f651,definition,
( sQ4_spl
<=> op(op(e0,e4),e4) = e0 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f653,plain,
( sQ4_spl
| op(op(e0,e4),e4) != e0 ),
inference(component_clause,[status(thm)],[f651]) ).
fof(f654,definition,
( sQ5_spl
<=> op(op(e1,e0),e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f656,plain,
( sQ5_spl
| op(op(e1,e0),e0) != e1 ),
inference(component_clause,[status(thm)],[f654]) ).
fof(f657,definition,
( sQ6_spl
<=> op(op(e1,e1),e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f659,plain,
( sQ6_spl
| op(op(e1,e1),e1) != e1 ),
inference(component_clause,[status(thm)],[f657]) ).
fof(f660,definition,
( sQ7_spl
<=> op(op(e1,e2),e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f662,plain,
( sQ7_spl
| op(op(e1,e2),e2) != e1 ),
inference(component_clause,[status(thm)],[f660]) ).
fof(f663,definition,
( sQ8_spl
<=> op(op(e1,e3),e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f665,plain,
( sQ8_spl
| op(op(e1,e3),e3) != e1 ),
inference(component_clause,[status(thm)],[f663]) ).
fof(f666,definition,
( sQ9_spl
<=> op(op(e1,e4),e4) = e1 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f668,plain,
( sQ9_spl
| op(op(e1,e4),e4) != e1 ),
inference(component_clause,[status(thm)],[f666]) ).
fof(f669,definition,
( sQ10_spl
<=> op(op(e2,e0),e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f671,plain,
( sQ10_spl
| op(op(e2,e0),e0) != e2 ),
inference(component_clause,[status(thm)],[f669]) ).
fof(f672,definition,
( sQ11_spl
<=> op(op(e2,e1),e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f674,plain,
( sQ11_spl
| op(op(e2,e1),e1) != e2 ),
inference(component_clause,[status(thm)],[f672]) ).
fof(f675,definition,
( sQ12_spl
<=> op(op(e2,e2),e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f677,plain,
( sQ12_spl
| op(op(e2,e2),e2) != e2 ),
inference(component_clause,[status(thm)],[f675]) ).
fof(f678,definition,
( sQ13_spl
<=> op(op(e2,e3),e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f680,plain,
( sQ13_spl
| op(op(e2,e3),e3) != e2 ),
inference(component_clause,[status(thm)],[f678]) ).
fof(f681,definition,
( sQ14_spl
<=> op(op(e2,e4),e4) = e2 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f683,plain,
( sQ14_spl
| op(op(e2,e4),e4) != e2 ),
inference(component_clause,[status(thm)],[f681]) ).
fof(f684,definition,
( sQ15_spl
<=> op(op(e3,e0),e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f686,plain,
( sQ15_spl
| op(op(e3,e0),e0) != e3 ),
inference(component_clause,[status(thm)],[f684]) ).
fof(f687,definition,
( sQ16_spl
<=> op(op(e3,e1),e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f689,plain,
( sQ16_spl
| op(op(e3,e1),e1) != e3 ),
inference(component_clause,[status(thm)],[f687]) ).
fof(f690,definition,
( sQ17_spl
<=> op(op(e3,e2),e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f692,plain,
( sQ17_spl
| op(op(e3,e2),e2) != e3 ),
inference(component_clause,[status(thm)],[f690]) ).
fof(f693,definition,
( sQ18_spl
<=> op(op(e3,e3),e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f695,plain,
( sQ18_spl
| op(op(e3,e3),e3) != e3 ),
inference(component_clause,[status(thm)],[f693]) ).
fof(f696,definition,
( sQ19_spl
<=> op(op(e3,e4),e4) = e3 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f698,plain,
( sQ19_spl
| op(op(e3,e4),e4) != e3 ),
inference(component_clause,[status(thm)],[f696]) ).
fof(f699,definition,
( sQ20_spl
<=> op(op(e4,e0),e0) = e4 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f701,plain,
( sQ20_spl
| op(op(e4,e0),e0) != e4 ),
inference(component_clause,[status(thm)],[f699]) ).
fof(f702,definition,
( sQ21_spl
<=> op(op(e4,e1),e1) = e4 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f704,plain,
( sQ21_spl
| op(op(e4,e1),e1) != e4 ),
inference(component_clause,[status(thm)],[f702]) ).
fof(f705,definition,
( sQ22_spl
<=> op(op(e4,e2),e2) = e4 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f707,plain,
( sQ22_spl
| op(op(e4,e2),e2) != e4 ),
inference(component_clause,[status(thm)],[f705]) ).
fof(f708,definition,
( sQ23_spl
<=> op(op(e4,e3),e3) = e4 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f710,plain,
( sQ23_spl
| op(op(e4,e3),e3) != e4 ),
inference(component_clause,[status(thm)],[f708]) ).
fof(f711,definition,
( sQ24_spl
<=> op(op(e4,e4),e4) = e4 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f713,plain,
( sQ24_spl
| op(op(e4,e4),e4) != e4 ),
inference(component_clause,[status(thm)],[f711]) ).
fof(f714,definition,
( sQ25_spl
<=> sP0_prd ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f717,definition,
( sQ26_spl
<=> sP1_prd ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f720,definition,
( sQ27_spl
<=> sP2_prd ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f723,definition,
( sQ28_spl
<=> sP3_prd ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f726,definition,
( sQ29_spl
<=> sP4_prd ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f729,definition,
( sQ30_spl
<=> sP5_prd ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f732,definition,
( sQ31_spl
<=> sP6_prd ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f735,definition,
( sQ32_spl
<=> sP7_prd ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f738,definition,
( sQ33_spl
<=> sP8_prd ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f741,definition,
( sQ34_spl
<=> sP9_prd ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f744,definition,
( sQ35_spl
<=> sP10_prd ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f747,definition,
( sQ36_spl
<=> sP11_prd ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f750,definition,
( sQ37_spl
<=> sP12_prd ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f753,definition,
( sQ38_spl
<=> sP13_prd ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f756,definition,
( sQ39_spl
<=> sP14_prd ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f759,definition,
( sQ40_spl
<=> sP15_prd ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f762,definition,
( sQ41_spl
<=> sP16_prd ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f765,definition,
( sQ42_spl
<=> sP17_prd ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f768,definition,
( sQ43_spl
<=> sP18_prd ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f771,definition,
( sQ44_spl
<=> sP19_prd ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f774,definition,
( sQ45_spl
<=> sP20_prd ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f777,definition,
( sQ46_spl
<=> sP21_prd ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f780,definition,
( sQ47_spl
<=> sP22_prd ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f783,definition,
( sQ48_spl
<=> sP23_prd ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f786,definition,
( sQ49_spl
<=> sP24_prd ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f789,definition,
( sQ50_spl
<=> sP25_prd ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f792,definition,
( sQ51_spl
<=> sP26_prd ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f795,definition,
( sQ52_spl
<=> sP27_prd ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f798,definition,
( sQ53_spl
<=> sP28_prd ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f801,definition,
( sQ54_spl
<=> sP29_prd ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f804,definition,
( sQ55_spl
<=> sP30_prd ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f807,definition,
( sQ56_spl
<=> sP31_prd ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f810,definition,
( sQ57_spl
<=> sP32_prd ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f813,definition,
( sQ58_spl
<=> sP33_prd ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f816,definition,
( sQ59_spl
<=> sP34_prd ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f819,definition,
( sQ60_spl
<=> sP35_prd ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f822,definition,
( sQ61_spl
<=> sP36_prd ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f825,definition,
( sQ62_spl
<=> sP37_prd ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f828,definition,
( sQ63_spl
<=> sP38_prd ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f831,definition,
( sQ64_spl
<=> sP39_prd ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f834,definition,
( sQ65_spl
<=> sP40_prd ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f837,definition,
( sQ66_spl
<=> sP41_prd ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f840,definition,
( sQ67_spl
<=> sP42_prd ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f843,definition,
( sQ68_spl
<=> sP43_prd ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f846,definition,
( sQ69_spl
<=> sP44_prd ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f849,definition,
( sQ70_spl
<=> sP45_prd ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f852,definition,
( sQ71_spl
<=> sP46_prd ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f855,definition,
( sQ72_spl
<=> sP47_prd ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f858,definition,
( sQ73_spl
<=> sP48_prd ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f861,definition,
( sQ74_spl
<=> sP49_prd ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f864,definition,
( sQ75_spl
<=> sP50_prd ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f867,definition,
( sQ76_spl
<=> sP51_prd ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f870,definition,
( sQ77_spl
<=> sP52_prd ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f873,definition,
( sQ78_spl
<=> sP53_prd ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f876,definition,
( sQ79_spl
<=> sP54_prd ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f879,definition,
( sQ80_spl
<=> sP55_prd ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f882,definition,
( sQ81_spl
<=> sP56_prd ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f885,definition,
( sQ82_spl
<=> sP57_prd ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f888,definition,
( sQ83_spl
<=> sP58_prd ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f891,definition,
( sQ84_spl
<=> sP59_prd ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f894,definition,
( sQ85_spl
<=> sP60_prd ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f897,definition,
( sQ86_spl
<=> sP61_prd ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f900,definition,
( sQ87_spl
<=> sP62_prd ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f903,definition,
( sQ88_spl
<=> sP63_prd ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f906,definition,
( sQ89_spl
<=> sP64_prd ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f909,definition,
( sQ90_spl
<=> sP65_prd ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f912,definition,
( sQ91_spl
<=> sP66_prd ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f915,definition,
( sQ92_spl
<=> sP67_prd ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f918,definition,
( sQ93_spl
<=> sP68_prd ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f921,definition,
( sQ94_spl
<=> sP69_prd ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f924,definition,
( sQ95_spl
<=> sP70_prd ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f927,definition,
( sQ96_spl
<=> sP71_prd ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f930,definition,
( sQ97_spl
<=> sP72_prd ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f933,definition,
( sQ98_spl
<=> sP73_prd ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f939,definition,
( sQ100_spl
<=> op(op(e0,e0),op(e0,e0)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f941,plain,
( sQ100_spl
| op(op(e0,e0),op(e0,e0)) != e0 ),
inference(component_clause,[status(thm)],[f939]) ).
fof(f942,definition,
( sQ101_spl
<=> op(op(e1,e0),op(e0,e1)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f944,plain,
( sQ101_spl
| op(op(e1,e0),op(e0,e1)) != e0 ),
inference(component_clause,[status(thm)],[f942]) ).
fof(f945,definition,
( sQ102_spl
<=> op(op(e2,e0),op(e0,e2)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f947,plain,
( sQ102_spl
| op(op(e2,e0),op(e0,e2)) != e0 ),
inference(component_clause,[status(thm)],[f945]) ).
fof(f948,definition,
( sQ103_spl
<=> op(op(e3,e0),op(e0,e3)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f950,plain,
( sQ103_spl
| op(op(e3,e0),op(e0,e3)) != e0 ),
inference(component_clause,[status(thm)],[f948]) ).
fof(f951,definition,
( sQ104_spl
<=> op(op(e4,e0),op(e0,e4)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f953,plain,
( sQ104_spl
| op(op(e4,e0),op(e0,e4)) != e0 ),
inference(component_clause,[status(thm)],[f951]) ).
fof(f954,definition,
( sQ105_spl
<=> op(op(e0,e1),op(e1,e0)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f956,plain,
( sQ105_spl
| op(op(e0,e1),op(e1,e0)) != e1 ),
inference(component_clause,[status(thm)],[f954]) ).
fof(f957,definition,
( sQ106_spl
<=> op(op(e1,e1),op(e1,e1)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f959,plain,
( sQ106_spl
| op(op(e1,e1),op(e1,e1)) != e1 ),
inference(component_clause,[status(thm)],[f957]) ).
fof(f960,definition,
( sQ107_spl
<=> op(op(e2,e1),op(e1,e2)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f962,plain,
( sQ107_spl
| op(op(e2,e1),op(e1,e2)) != e1 ),
inference(component_clause,[status(thm)],[f960]) ).
fof(f963,definition,
( sQ108_spl
<=> op(op(e3,e1),op(e1,e3)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f965,plain,
( sQ108_spl
| op(op(e3,e1),op(e1,e3)) != e1 ),
inference(component_clause,[status(thm)],[f963]) ).
fof(f966,definition,
( sQ109_spl
<=> op(op(e4,e1),op(e1,e4)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f968,plain,
( sQ109_spl
| op(op(e4,e1),op(e1,e4)) != e1 ),
inference(component_clause,[status(thm)],[f966]) ).
fof(f969,definition,
( sQ110_spl
<=> op(op(e0,e2),op(e2,e0)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f971,plain,
( sQ110_spl
| op(op(e0,e2),op(e2,e0)) != e2 ),
inference(component_clause,[status(thm)],[f969]) ).
fof(f972,definition,
( sQ111_spl
<=> op(op(e1,e2),op(e2,e1)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f974,plain,
( sQ111_spl
| op(op(e1,e2),op(e2,e1)) != e2 ),
inference(component_clause,[status(thm)],[f972]) ).
fof(f975,definition,
( sQ112_spl
<=> op(op(e2,e2),op(e2,e2)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f977,plain,
( sQ112_spl
| op(op(e2,e2),op(e2,e2)) != e2 ),
inference(component_clause,[status(thm)],[f975]) ).
fof(f978,definition,
( sQ113_spl
<=> op(op(e3,e2),op(e2,e3)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f980,plain,
( sQ113_spl
| op(op(e3,e2),op(e2,e3)) != e2 ),
inference(component_clause,[status(thm)],[f978]) ).
fof(f981,definition,
( sQ114_spl
<=> op(op(e4,e2),op(e2,e4)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f983,plain,
( sQ114_spl
| op(op(e4,e2),op(e2,e4)) != e2 ),
inference(component_clause,[status(thm)],[f981]) ).
fof(f984,definition,
( sQ115_spl
<=> op(op(e0,e3),op(e3,e0)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f986,plain,
( sQ115_spl
| op(op(e0,e3),op(e3,e0)) != e3 ),
inference(component_clause,[status(thm)],[f984]) ).
fof(f987,definition,
( sQ116_spl
<=> op(op(e1,e3),op(e3,e1)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f989,plain,
( sQ116_spl
| op(op(e1,e3),op(e3,e1)) != e3 ),
inference(component_clause,[status(thm)],[f987]) ).
fof(f990,definition,
( sQ117_spl
<=> op(op(e2,e3),op(e3,e2)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f992,plain,
( sQ117_spl
| op(op(e2,e3),op(e3,e2)) != e3 ),
inference(component_clause,[status(thm)],[f990]) ).
fof(f993,definition,
( sQ118_spl
<=> op(op(e3,e3),op(e3,e3)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f995,plain,
( sQ118_spl
| op(op(e3,e3),op(e3,e3)) != e3 ),
inference(component_clause,[status(thm)],[f993]) ).
fof(f996,definition,
( sQ119_spl
<=> op(op(e4,e3),op(e3,e4)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f998,plain,
( sQ119_spl
| op(op(e4,e3),op(e3,e4)) != e3 ),
inference(component_clause,[status(thm)],[f996]) ).
fof(f999,definition,
( sQ120_spl
<=> op(op(e0,e4),op(e4,e0)) = e4 ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f1001,plain,
( sQ120_spl
| op(op(e0,e4),op(e4,e0)) != e4 ),
inference(component_clause,[status(thm)],[f999]) ).
fof(f1002,definition,
( sQ121_spl
<=> op(op(e1,e4),op(e4,e1)) = e4 ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f1004,plain,
( sQ121_spl
| op(op(e1,e4),op(e4,e1)) != e4 ),
inference(component_clause,[status(thm)],[f1002]) ).
fof(f1005,definition,
( sQ122_spl
<=> op(op(e2,e4),op(e4,e2)) = e4 ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f1007,plain,
( sQ122_spl
| op(op(e2,e4),op(e4,e2)) != e4 ),
inference(component_clause,[status(thm)],[f1005]) ).
fof(f1008,definition,
( sQ123_spl
<=> op(op(e3,e4),op(e4,e3)) = e4 ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f1010,plain,
( sQ123_spl
| op(op(e3,e4),op(e4,e3)) != e4 ),
inference(component_clause,[status(thm)],[f1008]) ).
fof(f1011,definition,
( sQ124_spl
<=> op(op(e4,e4),op(e4,e4)) = e4 ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f1013,plain,
( sQ124_spl
| op(op(e4,e4),op(e4,e4)) != e4 ),
inference(component_clause,[status(thm)],[f1011]) ).
fof(f1027,definition,
( sQ128_spl
<=> op(e4,e4) = e4 ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f1029,plain,
( sQ128_spl
| op(e4,e4) != e4 ),
inference(component_clause,[status(thm)],[f1027]) ).
fof(f1030,plain,
( ~ sQ124_spl
| ~ sQ123_spl
| ~ sQ122_spl
| ~ sQ121_spl
| ~ sQ120_spl
| ~ sQ119_spl
| ~ sQ118_spl
| ~ sQ117_spl
| ~ sQ116_spl
| ~ sQ115_spl
| ~ sQ114_spl
| ~ sQ113_spl
| ~ sQ112_spl
| ~ sQ111_spl
| ~ sQ110_spl
| ~ sQ109_spl
| ~ sQ108_spl
| ~ sQ107_spl
| ~ sQ106_spl
| ~ sQ105_spl
| ~ sQ104_spl
| ~ sQ103_spl
| ~ sQ102_spl
| ~ sQ101_spl
| ~ sQ100_spl
| ~ sQ128_spl
| sQ98_spl
| sQ97_spl
| sQ96_spl
| sQ95_spl
| sQ94_spl
| sQ93_spl
| sQ92_spl
| sQ91_spl
| sQ90_spl
| sQ89_spl
| sQ88_spl
| sQ87_spl
| sQ86_spl
| sQ85_spl
| sQ84_spl
| sQ83_spl
| sQ82_spl
| sQ81_spl
| sQ80_spl
| sQ79_spl
| sQ78_spl
| sQ77_spl
| sQ76_spl
| sQ75_spl
| sQ74_spl
| sQ73_spl
| sQ72_spl
| sQ71_spl
| sQ70_spl
| sQ69_spl
| sQ68_spl
| sQ67_spl
| sQ66_spl
| sQ65_spl
| sQ64_spl
| sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl
| sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl
| sQ55_spl
| sQ54_spl
| sQ53_spl
| sQ52_spl
| sQ51_spl
| sQ50_spl
| sQ49_spl
| sQ48_spl
| sQ47_spl
| sQ46_spl
| sQ45_spl
| sQ44_spl
| sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl
| sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl
| sQ35_spl
| sQ34_spl
| sQ33_spl
| sQ32_spl
| sQ31_spl
| sQ30_spl
| sQ29_spl
| sQ28_spl
| sQ27_spl
| sQ26_spl
| sQ25_spl
| ~ sQ24_spl
| ~ sQ23_spl
| ~ sQ22_spl
| ~ sQ21_spl
| ~ sQ20_spl
| ~ sQ19_spl
| ~ sQ18_spl
| ~ sQ17_spl
| ~ sQ16_spl
| ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ10_spl
| ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f120,f639,f642,f645,f648,f651,f654,f657,f660,f663,f666,f669,f672,f675,f678,f681,f684,f687,f690,f693,f696,f699,f702,f705,f708,f711,f714,f717,f720,f723,f726,f729,f732,f735,f738,f741,f744,f747,f750,f753,f756,f759,f762,f765,f768,f771,f774,f777,f780,f783,f786,f789,f792,f795,f798,f801,f804,f807,f810,f813,f816,f819,f822,f825,f828,f831,f834,f837,f840,f843,f846,f849,f852,f855,f858,f861,f864,f867,f870,f873,f876,f879,f882,f885,f888,f891,f894,f897,f900,f903,f906,f909,f912,f915,f918,f921,f924,f927,f930,f933,f1027,f939,f942,f945,f948,f951,f954,f957,f960,f963,f966,f969,f972,f975,f978,f981,f984,f987,f990,f993,f996,f999,f1002,f1005,f1008,f1011]) ).
fof(f1031,definition,
( sQ129_spl
<=> op(e0,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f1033,plain,
( sQ129_spl
| op(e0,e0) != e0 ),
inference(component_clause,[status(thm)],[f1031]) ).
fof(f1034,plain,
( ~ sQ129_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f122,f714,f1031]) ).
fof(f1064,definition,
( sQ137_spl
<=> op(e0,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f1066,plain,
( sQ137_spl
| op(e0,e1) != e3 ),
inference(component_clause,[status(thm)],[f1064]) ).
fof(f1067,plain,
( ~ sQ137_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f132,f717,f1064]) ).
fof(f1089,definition,
( sQ143_spl
<=> op(e0,e2) = e4 ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f1091,plain,
( sQ143_spl
| op(e0,e2) != e4 ),
inference(component_clause,[status(thm)],[f1089]) ).
fof(f1092,plain,
( ~ sQ143_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f140,f720,f1089]) ).
fof(f1102,definition,
( sQ146_spl
<=> op(e0,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f1104,plain,
( sQ146_spl
| op(e0,e3) != e2 ),
inference(component_clause,[status(thm)],[f1102]) ).
fof(f1105,plain,
( ~ sQ146_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f145,f723,f1102]) ).
fof(f1119,definition,
( sQ150_spl
<=> op(e0,e4) = e1 ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f1121,plain,
( sQ150_spl
| op(e0,e4) != e1 ),
inference(component_clause,[status(thm)],[f1119]) ).
fof(f1122,plain,
( ~ sQ150_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f151,f726,f1119]) ).
fof(f1141,definition,
( sQ155_spl
<=> op(e1,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f1143,plain,
( sQ155_spl
| op(e1,e0) != e2 ),
inference(component_clause,[status(thm)],[f1141]) ).
fof(f1144,plain,
( ~ sQ155_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f159,f729,f1141]) ).
fof(f1158,definition,
( sQ159_spl
<=> op(e1,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f1160,plain,
( sQ159_spl
| op(e1,e1) != e1 ),
inference(component_clause,[status(thm)],[f1158]) ).
fof(f1161,plain,
( ~ sQ159_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f165,f732,f1158]) ).
fof(f1187,definition,
( sQ166_spl
<=> op(e1,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f1189,plain,
( sQ166_spl
| op(e1,e2) != e3 ),
inference(component_clause,[status(thm)],[f1187]) ).
fof(f1190,plain,
( ~ sQ166_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f174,f735,f1187]) ).
fof(f1212,definition,
( sQ172_spl
<=> op(e1,e3) = e4 ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f1214,plain,
( sQ172_spl
| op(e1,e3) != e4 ),
inference(component_clause,[status(thm)],[f1212]) ).
fof(f1215,plain,
( ~ sQ172_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f182,f738,f1212]) ).
fof(f1217,definition,
( sQ173_spl
<=> op(e1,e4) = e0 ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f1219,plain,
( sQ173_spl
| op(e1,e4) != e0 ),
inference(component_clause,[status(thm)],[f1217]) ).
fof(f1220,plain,
( ~ sQ173_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f185,f741,f1217]) ).
fof(f1239,definition,
( sQ178_spl
<=> op(e2,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f1241,plain,
( sQ178_spl
| op(e2,e0) != e1 ),
inference(component_clause,[status(thm)],[f1239]) ).
fof(f1242,plain,
( ~ sQ178_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f193,f744,f1239]) ).
fof(f1272,definition,
( sQ186_spl
<=> op(e2,e1) = e4 ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f1274,plain,
( sQ186_spl
| op(e2,e1) != e4 ),
inference(component_clause,[status(thm)],[f1272]) ).
fof(f1275,plain,
( ~ sQ186_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f203,f747,f1272]) ).
fof(f1285,definition,
( sQ189_spl
<=> op(e2,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f1287,plain,
( sQ189_spl
| op(e2,e2) != e2 ),
inference(component_clause,[status(thm)],[f1285]) ).
fof(f1288,plain,
( ~ sQ189_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f208,f750,f1285]) ).
fof(f1298,definition,
( sQ192_spl
<=> op(e2,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f1300,plain,
( sQ192_spl
| op(e2,e3) != e0 ),
inference(component_clause,[status(thm)],[f1298]) ).
fof(f1301,plain,
( ~ sQ192_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f213,f753,f1298]) ).
fof(f1331,definition,
( sQ200_spl
<=> op(e2,e4) = e3 ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f1333,plain,
( sQ200_spl
| op(e2,e4) != e3 ),
inference(component_clause,[status(thm)],[f1331]) ).
fof(f1334,plain,
( ~ sQ200_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f223,f756,f1331]) ).
fof(f1353,definition,
( sQ205_spl
<=> op(e3,e0) = e4 ),
introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).
fof(f1355,plain,
( sQ205_spl
| op(e3,e0) != e4 ),
inference(component_clause,[status(thm)],[f1353]) ).
fof(f1356,plain,
( ~ sQ205_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f231,f759,f1353]) ).
fof(f1358,definition,
( sQ206_spl
<=> op(e3,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition]) ).
fof(f1360,plain,
( sQ206_spl
| op(e3,e1) != e0 ),
inference(component_clause,[status(thm)],[f1358]) ).
fof(f1361,plain,
( ~ sQ206_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f234,f762,f1358]) ).
fof(f1383,definition,
( sQ212_spl
<=> op(e3,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).
fof(f1385,plain,
( sQ212_spl
| op(e3,e2) != e1 ),
inference(component_clause,[status(thm)],[f1383]) ).
fof(f1386,plain,
( ~ sQ212_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f242,f765,f1383]) ).
fof(f1412,definition,
( sQ219_spl
<=> op(e3,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f1414,plain,
( sQ219_spl
| op(e3,e3) != e3 ),
inference(component_clause,[status(thm)],[f1412]) ).
fof(f1415,plain,
( ~ sQ219_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f251,f768,f1412]) ).
fof(f1429,definition,
( sQ223_spl
<=> op(e3,e4) = e2 ),
introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition]) ).
fof(f1431,plain,
( sQ223_spl
| op(e3,e4) != e2 ),
inference(component_clause,[status(thm)],[f1429]) ).
fof(f1432,plain,
( ~ sQ223_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f257,f771,f1429]) ).
fof(f1451,definition,
( sQ228_spl
<=> op(e4,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition]) ).
fof(f1453,plain,
( sQ228_spl
| op(e4,e0) != e3 ),
inference(component_clause,[status(thm)],[f1451]) ).
fof(f1454,plain,
( ~ sQ228_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f265,f774,f1451]) ).
fof(f1468,definition,
( sQ232_spl
<=> op(e4,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ232_spl])],[split_symbol_definition]) ).
fof(f1470,plain,
( sQ232_spl
| op(e4,e1) != e2 ),
inference(component_clause,[status(thm)],[f1468]) ).
fof(f1471,plain,
( ~ sQ232_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f271,f777,f1468]) ).
fof(f1481,definition,
( sQ235_spl
<=> op(e4,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition]) ).
fof(f1483,plain,
( sQ235_spl
| op(e4,e2) != e0 ),
inference(component_clause,[status(thm)],[f1481]) ).
fof(f1484,plain,
( ~ sQ235_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f276,f780,f1481]) ).
fof(f1506,definition,
( sQ241_spl
<=> op(e4,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ241_spl])],[split_symbol_definition]) ).
fof(f1508,plain,
( sQ241_spl
| op(e4,e3) != e1 ),
inference(component_clause,[status(thm)],[f1506]) ).
fof(f1509,plain,
( ~ sQ241_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f284,f783,f1506]) ).
fof(f1539,plain,
( ~ sQ128_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f294,f786,f1027]) ).
fof(f1541,plain,
( ~ sQ129_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f297,f789,f1031]) ).
fof(f1547,plain,
( ~ sQ129_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f304,f792,f1031]) ).
fof(f1557,plain,
( ~ sQ150_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f315,f795,f1119]) ).
fof(f1561,plain,
( ~ sQ178_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f320,f798,f1239]) ).
fof(f1568,plain,
( ~ sQ146_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f328,f801,f1102]) ).
fof(f1572,plain,
( ~ sQ155_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f333,f804,f1141]) ).
fof(f1578,plain,
( ~ sQ137_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f340,f807,f1064]) ).
fof(f1587,plain,
( ~ sQ228_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f350,f810,f1451]) ).
fof(f1591,plain,
( ~ sQ143_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f355,f813,f1089]) ).
fof(f1598,plain,
( ~ sQ205_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f363,f816,f1353]) ).
fof(f1605,plain,
( ~ sQ173_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f371,f819,f1217]) ).
fof(f1610,plain,
( ~ sQ206_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f377,f822,f1358]) ).
fof(f1614,plain,
( ~ sQ159_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f382,f825,f1158]) ).
fof(f1620,plain,
( ~ sQ159_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f389,f828,f1158]) ).
fof(f1625,plain,
( ~ sQ155_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f395,f831,f1141]) ).
fof(f1635,plain,
( ~ sQ232_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f406,f834,f1468]) ).
fof(f1639,plain,
( ~ sQ166_spl
| ~ sQ66_spl ),
inference(split_clause,[status(thm)],[f411,f837,f1187]) ).
fof(f1643,plain,
( ~ sQ137_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f416,f840,f1064]) ).
fof(f1652,plain,
( ~ sQ172_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f426,f843,f1212]) ).
fof(f1657,plain,
( ~ sQ186_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f432,f846,f1272]) ).
fof(f1664,plain,
( ~ sQ192_spl
| ~ sQ70_spl ),
inference(split_clause,[status(thm)],[f440,f849,f1298]) ).
fof(f1671,plain,
( ~ sQ235_spl
| ~ sQ71_spl ),
inference(split_clause,[status(thm)],[f448,f852,f1481]) ).
fof(f1673,plain,
( ~ sQ178_spl
| ~ sQ72_spl ),
inference(split_clause,[status(thm)],[f451,f855,f1239]) ).
fof(f1682,plain,
( ~ sQ212_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f461,f858,f1383]) ).
fof(f1687,plain,
( ~ sQ189_spl
| ~ sQ74_spl ),
inference(split_clause,[status(thm)],[f467,f861,f1285]) ).
fof(f1693,plain,
( ~ sQ189_spl
| ~ sQ75_spl ),
inference(split_clause,[status(thm)],[f474,f864,f1285]) ).
fof(f1701,plain,
( ~ sQ200_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f483,f867,f1331]) ).
fof(f1704,plain,
( ~ sQ166_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f487,f870,f1187]) ).
fof(f1710,plain,
( ~ sQ186_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f494,f873,f1272]) ).
fof(f1715,plain,
( ~ sQ143_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f500,f876,f1089]) ).
fof(f1722,plain,
( ~ sQ206_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f508,f879,f1358]) ).
fof(f1729,plain,
( ~ sQ192_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f516,f882,f1298]) ).
fof(f1735,plain,
( ~ sQ212_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f523,f885,f1383]) ).
fof(f1743,plain,
( ~ sQ241_spl
| ~ sQ83_spl ),
inference(split_clause,[status(thm)],[f532,f888,f1506]) ).
fof(f1749,plain,
( ~ sQ223_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f539,f891,f1429]) ).
fof(f1751,plain,
( ~ sQ146_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f542,f894,f1102]) ).
fof(f1760,plain,
( ~ sQ219_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f552,f897,f1412]) ).
fof(f1766,plain,
( ~ sQ219_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f559,f900,f1412]) ).
fof(f1769,plain,
( ~ sQ205_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f563,f903,f1353]) ).
fof(f1776,plain,
( ~ sQ172_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f571,f906,f1212]) ).
fof(f1783,plain,
( ~ sQ235_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f579,f909,f1481]) ).
fof(f1788,plain,
( ~ sQ173_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f585,f912,f1217]) ).
fof(f1796,plain,
( ~ sQ241_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f594,f915,f1506]) ).
fof(f1799,plain,
( ~ sQ150_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f598,f918,f1119]) ).
fof(f1806,plain,
( ~ sQ232_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f606,f921,f1468]) ).
fof(f1814,plain,
( ~ sQ223_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f615,f924,f1429]) ).
fof(f1817,plain,
( ~ sQ228_spl
| ~ sQ96_spl ),
inference(split_clause,[status(thm)],[f619,f927,f1451]) ).
fof(f1825,plain,
( ~ sQ200_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f628,f930,f1331]) ).
fof(f1833,plain,
( ~ sQ128_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f637,f933,f1027]) ).
fof(f1835,plain,
( sQ121_spl
| op(e0,op(e4,e1)) != e4 ),
inference(backward_demodulation,[status(thm)],[f24,f1004]) ).
fof(f1836,plain,
( sQ120_spl
| op(e1,op(e4,e0)) != e4 ),
inference(forward_demodulation,[status(thm)],[f19,f1001]) ).
fof(f1837,plain,
( sQ122_spl
| op(e3,op(e4,e2)) != e4 ),
inference(backward_demodulation,[status(thm)],[f29,f1007]) ).
fof(f1838,plain,
( sQ123_spl
| op(e2,op(e4,e3)) != e4 ),
inference(backward_demodulation,[status(thm)],[f34,f1010]) ).
fof(f1839,plain,
( sQ120_spl
| op(e1,e3) != e4 ),
inference(backward_demodulation,[status(thm)],[f35,f1836]) ).
fof(f1840,plain,
( sQ120_spl
| e4 != e4 ),
inference(forward_demodulation,[status(thm)],[f23,f1839]) ).
fof(f1841,plain,
( sQ120_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1840]) ).
fof(f1842,plain,
sQ120_spl,
inference(contradiction_clause,[status(thm)],[f1841]) ).
fof(f1845,plain,
( sQ128_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f39,f1029]) ).
fof(f1846,plain,
sQ128_spl,
inference(contradiction_clause,[status(thm)],[f1845]) ).
fof(f1849,plain,
( sQ119_spl
| op(e1,op(e3,e4)) != e3 ),
inference(forward_demodulation,[status(thm)],[f38,f998]) ).
fof(f1850,plain,
( sQ119_spl
| op(e1,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f34,f1849]) ).
fof(f1851,plain,
( sQ119_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f22,f1850]) ).
fof(f1852,plain,
( sQ119_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1851]) ).
fof(f1853,plain,
sQ119_spl,
inference(contradiction_clause,[status(thm)],[f1852]) ).
fof(f1856,plain,
( sQ118_spl
| op(e3,op(e3,e3)) != e3 ),
inference(forward_demodulation,[status(thm)],[f33,f995]) ).
fof(f1857,plain,
( sQ118_spl
| op(e3,e3) != e3 ),
inference(forward_demodulation,[status(thm)],[f33,f1856]) ).
fof(f1858,plain,
( sQ118_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f33,f1857]) ).
fof(f1859,plain,
( sQ118_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1858]) ).
fof(f1860,plain,
sQ118_spl,
inference(contradiction_clause,[status(thm)],[f1859]) ).
fof(f1863,plain,
( sQ117_spl
| op(e0,op(e3,e2)) != e3 ),
inference(forward_demodulation,[status(thm)],[f28,f992]) ).
fof(f1864,plain,
( sQ117_spl
| op(e0,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f32,f1863]) ).
fof(f1865,plain,
( sQ117_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f16,f1864]) ).
fof(f1866,plain,
( sQ117_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1865]) ).
fof(f1867,plain,
sQ117_spl,
inference(contradiction_clause,[status(thm)],[f1866]) ).
fof(f1876,plain,
( sQ116_spl
| op(e4,op(e3,e1)) != e3 ),
inference(forward_demodulation,[status(thm)],[f23,f989]) ).
fof(f1877,plain,
( sQ116_spl
| op(e4,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f31,f1876]) ).
fof(f1878,plain,
( sQ116_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f35,f1877]) ).
fof(f1879,plain,
( sQ116_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1878]) ).
fof(f1880,plain,
sQ116_spl,
inference(contradiction_clause,[status(thm)],[f1879]) ).
fof(f1902,plain,
( sQ115_spl
| op(e2,op(e3,e0)) != e3 ),
inference(forward_demodulation,[status(thm)],[f18,f986]) ).
fof(f1903,plain,
( sQ115_spl
| op(e2,e4) != e3 ),
inference(forward_demodulation,[status(thm)],[f30,f1902]) ).
fof(f1904,plain,
( sQ115_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f29,f1903]) ).
fof(f1905,plain,
( sQ115_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1904]) ).
fof(f1906,plain,
sQ115_spl,
inference(contradiction_clause,[status(thm)],[f1905]) ).
fof(f1909,plain,
( sQ114_spl
| op(e0,op(e2,e4)) != e2 ),
inference(forward_demodulation,[status(thm)],[f37,f983]) ).
fof(f1910,plain,
( sQ114_spl
| op(e0,e3) != e2 ),
inference(forward_demodulation,[status(thm)],[f29,f1909]) ).
fof(f1911,plain,
( sQ114_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f18,f1910]) ).
fof(f1912,plain,
( sQ114_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1911]) ).
fof(f1913,plain,
sQ114_spl,
inference(contradiction_clause,[status(thm)],[f1912]) ).
fof(f1939,plain,
( sQ228_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f35,f1453]) ).
fof(f1940,plain,
( sQ228_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1939]) ).
fof(f1941,plain,
sQ228_spl,
inference(contradiction_clause,[status(thm)],[f1940]) ).
fof(f1942,plain,
( sQ113_spl
| op(e1,op(e2,e3)) != e2 ),
inference(forward_demodulation,[status(thm)],[f32,f980]) ).
fof(f1943,plain,
( sQ113_spl
| op(e1,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f28,f1942]) ).
fof(f1944,plain,
( sQ113_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f20,f1943]) ).
fof(f1945,plain,
( sQ113_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1944]) ).
fof(f1946,plain,
sQ113_spl,
inference(contradiction_clause,[status(thm)],[f1945]) ).
fof(f1949,plain,
( sQ112_spl
| op(e2,op(e2,e2)) != e2 ),
inference(forward_demodulation,[status(thm)],[f27,f977]) ).
fof(f1950,plain,
( sQ112_spl
| op(e2,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f27,f1949]) ).
fof(f1951,plain,
( sQ112_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f27,f1950]) ).
fof(f1952,plain,
( sQ112_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1951]) ).
fof(f1953,plain,
sQ112_spl,
inference(contradiction_clause,[status(thm)],[f1952]) ).
fof(f1956,plain,
( sQ111_spl
| op(e3,op(e2,e1)) != e2 ),
inference(forward_demodulation,[status(thm)],[f22,f974]) ).
fof(f1957,plain,
( sQ111_spl
| op(e3,e4) != e2 ),
inference(forward_demodulation,[status(thm)],[f26,f1956]) ).
fof(f1958,plain,
( sQ111_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f34,f1957]) ).
fof(f1959,plain,
( sQ111_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1958]) ).
fof(f1960,plain,
sQ111_spl,
inference(contradiction_clause,[status(thm)],[f1959]) ).
fof(f1971,plain,
( sQ110_spl
| op(e4,op(e2,e0)) != e2 ),
inference(forward_demodulation,[status(thm)],[f17,f971]) ).
fof(f1972,plain,
( sQ110_spl
| op(e4,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f25,f1971]) ).
fof(f1973,plain,
( sQ110_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f36,f1972]) ).
fof(f1974,plain,
( sQ110_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1973]) ).
fof(f1975,plain,
sQ110_spl,
inference(contradiction_clause,[status(thm)],[f1974]) ).
fof(f1982,plain,
( sQ223_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f34,f1431]) ).
fof(f1983,plain,
( sQ223_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1982]) ).
fof(f1984,plain,
sQ223_spl,
inference(contradiction_clause,[status(thm)],[f1983]) ).
fof(f1997,plain,
( sQ232_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f36,f1470]) ).
fof(f1998,plain,
( sQ232_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1997]) ).
fof(f1999,plain,
sQ232_spl,
inference(contradiction_clause,[status(thm)],[f1998]) ).
fof(f2000,plain,
( sQ109_spl
| op(e2,op(e1,e4)) != e1 ),
inference(forward_demodulation,[status(thm)],[f36,f968]) ).
fof(f2001,plain,
( sQ109_spl
| op(e2,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f24,f2000]) ).
fof(f2002,plain,
( sQ109_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f25,f2001]) ).
fof(f2003,plain,
( sQ109_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2002]) ).
fof(f2004,plain,
sQ109_spl,
inference(contradiction_clause,[status(thm)],[f2003]) ).
fof(f2007,plain,
( sQ108_spl
| op(e0,op(e1,e3)) != e1 ),
inference(forward_demodulation,[status(thm)],[f31,f965]) ).
fof(f2008,plain,
( sQ108_spl
| op(e0,e4) != e1 ),
inference(forward_demodulation,[status(thm)],[f23,f2007]) ).
fof(f2009,plain,
( sQ108_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f19,f2008]) ).
fof(f2010,plain,
( sQ108_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2009]) ).
fof(f2011,plain,
sQ108_spl,
inference(contradiction_clause,[status(thm)],[f2010]) ).
fof(f2029,plain,
( sQ173_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f24,f1219]) ).
fof(f2030,plain,
( sQ173_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2029]) ).
fof(f2031,plain,
sQ173_spl,
inference(contradiction_clause,[status(thm)],[f2030]) ).
fof(f2036,plain,
( sQ235_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f37,f1483]) ).
fof(f2037,plain,
( sQ235_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2036]) ).
fof(f2038,plain,
sQ235_spl,
inference(contradiction_clause,[status(thm)],[f2037]) ).
fof(f2039,plain,
( sQ107_spl
| op(e4,op(e1,e2)) != e1 ),
inference(forward_demodulation,[status(thm)],[f26,f962]) ).
fof(f2040,plain,
( sQ107_spl
| op(e4,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f22,f2039]) ).
fof(f2041,plain,
( sQ107_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f38,f2040]) ).
fof(f2042,plain,
( sQ107_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2041]) ).
fof(f2043,plain,
sQ107_spl,
inference(contradiction_clause,[status(thm)],[f2042]) ).
fof(f2046,plain,
( sQ106_spl
| op(e1,op(e1,e1)) != e1 ),
inference(forward_demodulation,[status(thm)],[f21,f959]) ).
fof(f2047,plain,
( sQ106_spl
| op(e1,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f21,f2046]) ).
fof(f2048,plain,
( sQ106_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f21,f2047]) ).
fof(f2049,plain,
( sQ106_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2048]) ).
fof(f2050,plain,
sQ106_spl,
inference(contradiction_clause,[status(thm)],[f2049]) ).
fof(f2053,plain,
( sQ105_spl
| op(e3,op(e1,e0)) != e1 ),
inference(forward_demodulation,[status(thm)],[f16,f956]) ).
fof(f2054,plain,
( sQ105_spl
| op(e3,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f20,f2053]) ).
fof(f2055,plain,
( sQ105_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f32,f2054]) ).
fof(f2056,plain,
( sQ105_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2055]) ).
fof(f2057,plain,
sQ105_spl,
inference(contradiction_clause,[status(thm)],[f2056]) ).
fof(f2068,plain,
( sQ104_spl
| op(e3,op(e0,e4)) != e0 ),
inference(forward_demodulation,[status(thm)],[f35,f953]) ).
fof(f2069,plain,
( sQ104_spl
| op(e3,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f19,f2068]) ).
fof(f2070,plain,
( sQ104_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f31,f2069]) ).
fof(f2071,plain,
( sQ104_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2070]) ).
fof(f2072,plain,
sQ104_spl,
inference(contradiction_clause,[status(thm)],[f2071]) ).
fof(f2085,plain,
( sQ241_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f38,f1508]) ).
fof(f2086,plain,
( sQ241_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2085]) ).
fof(f2087,plain,
sQ241_spl,
inference(contradiction_clause,[status(thm)],[f2086]) ).
fof(f2092,plain,
( sQ150_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f19,f1121]) ).
fof(f2093,plain,
( sQ150_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2092]) ).
fof(f2094,plain,
sQ150_spl,
inference(contradiction_clause,[status(thm)],[f2093]) ).
fof(f2099,plain,
( sQ103_spl
| op(e4,op(e0,e3)) != e0 ),
inference(forward_demodulation,[status(thm)],[f30,f950]) ).
fof(f2100,plain,
( sQ103_spl
| op(e4,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f18,f2099]) ).
fof(f2101,plain,
( sQ103_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f37,f2100]) ).
fof(f2102,plain,
( sQ103_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2101]) ).
fof(f2103,plain,
sQ103_spl,
inference(contradiction_clause,[status(thm)],[f2102]) ).
fof(f2106,plain,
( sQ102_spl
| op(e1,op(e0,e2)) != e0 ),
inference(forward_demodulation,[status(thm)],[f25,f947]) ).
fof(f2107,plain,
( sQ102_spl
| op(e1,e4) != e0 ),
inference(forward_demodulation,[status(thm)],[f17,f2106]) ).
fof(f2108,plain,
( sQ102_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f24,f2107]) ).
fof(f2109,plain,
( sQ102_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2108]) ).
fof(f2110,plain,
sQ102_spl,
inference(contradiction_clause,[status(thm)],[f2109]) ).
fof(f2120,plain,
( sQ200_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f29,f1333]) ).
fof(f2121,plain,
( sQ200_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2120]) ).
fof(f2122,plain,
sQ200_spl,
inference(contradiction_clause,[status(thm)],[f2121]) ).
fof(f2143,plain,
( sQ172_spl
| e4 != e4 ),
inference(forward_demodulation,[status(thm)],[f23,f1214]) ).
fof(f2144,plain,
( sQ172_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2143]) ).
fof(f2145,plain,
sQ172_spl,
inference(contradiction_clause,[status(thm)],[f2144]) ).
fof(f2146,plain,
( sQ101_spl
| op(e2,op(e0,e1)) != e0 ),
inference(forward_demodulation,[status(thm)],[f20,f944]) ).
fof(f2147,plain,
( sQ101_spl
| op(e2,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f16,f2146]) ).
fof(f2148,plain,
( sQ101_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f28,f2147]) ).
fof(f2149,plain,
( sQ101_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2148]) ).
fof(f2150,plain,
sQ101_spl,
inference(contradiction_clause,[status(thm)],[f2149]) ).
fof(f2153,plain,
( sQ100_spl
| op(e0,op(e0,e0)) != e0 ),
inference(forward_demodulation,[status(thm)],[f15,f941]) ).
fof(f2154,plain,
( sQ100_spl
| op(e0,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f15,f2153]) ).
fof(f2155,plain,
( sQ100_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f15,f2154]) ).
fof(f2156,plain,
( sQ100_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2155]) ).
fof(f2157,plain,
sQ100_spl,
inference(contradiction_clause,[status(thm)],[f2156]) ).
fof(f2171,plain,
( sQ205_spl
| e4 != e4 ),
inference(forward_demodulation,[status(thm)],[f30,f1355]) ).
fof(f2172,plain,
( sQ205_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2171]) ).
fof(f2173,plain,
sQ205_spl,
inference(contradiction_clause,[status(thm)],[f2172]) ).
fof(f2174,plain,
( sQ23_spl
| op(e1,e3) != e4 ),
inference(forward_demodulation,[status(thm)],[f38,f710]) ).
fof(f2175,plain,
( sQ23_spl
| e4 != e4 ),
inference(forward_demodulation,[status(thm)],[f23,f2174]) ).
fof(f2176,plain,
( sQ23_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2175]) ).
fof(f2177,plain,
sQ23_spl,
inference(contradiction_clause,[status(thm)],[f2176]) ).
fof(f2191,plain,
( sQ219_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f33,f1414]) ).
fof(f2192,plain,
( sQ219_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2191]) ).
fof(f2193,plain,
sQ219_spl,
inference(contradiction_clause,[status(thm)],[f2192]) ).
fof(f2194,plain,
( sQ22_spl
| op(e0,e2) != e4 ),
inference(forward_demodulation,[status(thm)],[f37,f707]) ).
fof(f2195,plain,
( sQ22_spl
| e4 != e4 ),
inference(forward_demodulation,[status(thm)],[f17,f2194]) ).
fof(f2196,plain,
( sQ22_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2195]) ).
fof(f2197,plain,
sQ22_spl,
inference(contradiction_clause,[status(thm)],[f2196]) ).
fof(f2199,plain,
( sQ21_spl
| op(e2,e1) != e4 ),
inference(forward_demodulation,[status(thm)],[f36,f704]) ).
fof(f2200,plain,
( sQ21_spl
| e4 != e4 ),
inference(forward_demodulation,[status(thm)],[f26,f2199]) ).
fof(f2201,plain,
( sQ21_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2200]) ).
fof(f2202,plain,
sQ21_spl,
inference(contradiction_clause,[status(thm)],[f2201]) ).
fof(f2228,plain,
( sQ146_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f18,f1104]) ).
fof(f2229,plain,
( sQ146_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2228]) ).
fof(f2230,plain,
sQ146_spl,
inference(contradiction_clause,[status(thm)],[f2229]) ).
fof(f2239,plain,
( sQ20_spl
| op(e3,e0) != e4 ),
inference(forward_demodulation,[status(thm)],[f35,f701]) ).
fof(f2240,plain,
( sQ20_spl
| e4 != e4 ),
inference(forward_demodulation,[status(thm)],[f30,f2239]) ).
fof(f2241,plain,
( sQ20_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2240]) ).
fof(f2242,plain,
sQ20_spl,
inference(contradiction_clause,[status(thm)],[f2241]) ).
fof(f2244,plain,
( sQ19_spl
| op(e2,e4) != e3 ),
inference(forward_demodulation,[status(thm)],[f34,f698]) ).
fof(f2245,plain,
( sQ19_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f29,f2244]) ).
fof(f2246,plain,
( sQ19_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2245]) ).
fof(f2247,plain,
sQ19_spl,
inference(contradiction_clause,[status(thm)],[f2246]) ).
fof(f2249,plain,
( sQ18_spl
| op(e3,e3) != e3 ),
inference(forward_demodulation,[status(thm)],[f33,f695]) ).
fof(f2250,plain,
( sQ18_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f33,f2249]) ).
fof(f2251,plain,
( sQ18_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2250]) ).
fof(f2252,plain,
sQ18_spl,
inference(contradiction_clause,[status(thm)],[f2251]) ).
fof(f2266,plain,
( sQ192_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f28,f1300]) ).
fof(f2267,plain,
( sQ192_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2266]) ).
fof(f2268,plain,
sQ192_spl,
inference(contradiction_clause,[status(thm)],[f2267]) ).
fof(f2269,plain,
( sQ17_spl
| op(e1,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f32,f692]) ).
fof(f2270,plain,
( sQ17_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f22,f2269]) ).
fof(f2271,plain,
( sQ17_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2270]) ).
fof(f2272,plain,
sQ17_spl,
inference(contradiction_clause,[status(thm)],[f2271]) ).
fof(f2286,plain,
( sQ206_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f31,f1360]) ).
fof(f2287,plain,
( sQ206_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2286]) ).
fof(f2288,plain,
sQ206_spl,
inference(contradiction_clause,[status(thm)],[f2287]) ).
fof(f2289,plain,
( sQ16_spl
| op(e0,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f31,f689]) ).
fof(f2290,plain,
( sQ16_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f16,f2289]) ).
fof(f2291,plain,
( sQ16_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2290]) ).
fof(f2292,plain,
sQ16_spl,
inference(contradiction_clause,[status(thm)],[f2291]) ).
fof(f2294,plain,
( sQ15_spl
| op(e4,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f30,f686]) ).
fof(f2295,plain,
( sQ15_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f35,f2294]) ).
fof(f2296,plain,
( sQ15_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2295]) ).
fof(f2297,plain,
sQ15_spl,
inference(contradiction_clause,[status(thm)],[f2296]) ).
fof(f2303,plain,
( sQ212_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f32,f1385]) ).
fof(f2304,plain,
( sQ212_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2303]) ).
fof(f2305,plain,
sQ212_spl,
inference(contradiction_clause,[status(thm)],[f2304]) ).
fof(f2334,plain,
( sQ143_spl
| e4 != e4 ),
inference(forward_demodulation,[status(thm)],[f17,f1091]) ).
fof(f2335,plain,
( sQ143_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2334]) ).
fof(f2336,plain,
sQ143_spl,
inference(contradiction_clause,[status(thm)],[f2335]) ).
fof(f2337,plain,
( sQ14_spl
| op(e3,e4) != e2 ),
inference(forward_demodulation,[status(thm)],[f29,f683]) ).
fof(f2338,plain,
( sQ14_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f34,f2337]) ).
fof(f2339,plain,
( sQ14_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2338]) ).
fof(f2340,plain,
sQ14_spl,
inference(contradiction_clause,[status(thm)],[f2339]) ).
fof(f2342,plain,
( sQ13_spl
| op(e0,e3) != e2 ),
inference(forward_demodulation,[status(thm)],[f28,f680]) ).
fof(f2343,plain,
( sQ13_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f18,f2342]) ).
fof(f2344,plain,
( sQ13_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2343]) ).
fof(f2345,plain,
sQ13_spl,
inference(contradiction_clause,[status(thm)],[f2344]) ).
fof(f2347,plain,
( sQ12_spl
| op(e2,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f27,f677]) ).
fof(f2348,plain,
( sQ12_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f27,f2347]) ).
fof(f2349,plain,
( sQ12_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2348]) ).
fof(f2350,plain,
sQ12_spl,
inference(contradiction_clause,[status(thm)],[f2349]) ).
fof(f2356,plain,
( sQ186_spl
| e4 != e4 ),
inference(forward_demodulation,[status(thm)],[f26,f1274]) ).
fof(f2357,plain,
( sQ186_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2356]) ).
fof(f2358,plain,
sQ186_spl,
inference(contradiction_clause,[status(thm)],[f2357]) ).
fof(f2359,plain,
( sQ11_spl
| op(e4,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f26,f674]) ).
fof(f2360,plain,
( sQ11_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f36,f2359]) ).
fof(f2361,plain,
( sQ11_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2360]) ).
fof(f2362,plain,
sQ11_spl,
inference(contradiction_clause,[status(thm)],[f2361]) ).
fof(f2372,plain,
( sQ166_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f22,f1189]) ).
fof(f2373,plain,
( sQ166_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2372]) ).
fof(f2374,plain,
sQ166_spl,
inference(contradiction_clause,[status(thm)],[f2373]) ).
fof(f2382,plain,
( sQ137_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f16,f1066]) ).
fof(f2383,plain,
( sQ137_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2382]) ).
fof(f2384,plain,
sQ137_spl,
inference(contradiction_clause,[status(thm)],[f2383]) ).
fof(f2406,plain,
( sQ159_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f21,f1160]) ).
fof(f2407,plain,
( sQ159_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2406]) ).
fof(f2408,plain,
sQ159_spl,
inference(contradiction_clause,[status(thm)],[f2407]) ).
fof(f2424,plain,
( sQ178_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f25,f1241]) ).
fof(f2425,plain,
( sQ178_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2424]) ).
fof(f2426,plain,
sQ178_spl,
inference(contradiction_clause,[status(thm)],[f2425]) ).
fof(f2428,plain,
( sQ155_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f20,f1143]) ).
fof(f2429,plain,
( sQ155_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2428]) ).
fof(f2430,plain,
sQ155_spl,
inference(contradiction_clause,[status(thm)],[f2429]) ).
fof(f2439,plain,
( sQ10_spl
| op(e1,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f25,f671]) ).
fof(f2440,plain,
( sQ10_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f20,f2439]) ).
fof(f2441,plain,
( sQ10_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2440]) ).
fof(f2442,plain,
sQ10_spl,
inference(contradiction_clause,[status(thm)],[f2441]) ).
fof(f2444,plain,
( sQ9_spl
| op(e0,e4) != e1 ),
inference(forward_demodulation,[status(thm)],[f24,f668]) ).
fof(f2445,plain,
( sQ9_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f19,f2444]) ).
fof(f2446,plain,
( sQ9_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2445]) ).
fof(f2447,plain,
sQ9_spl,
inference(contradiction_clause,[status(thm)],[f2446]) ).
fof(f2461,plain,
( sQ189_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f27,f1287]) ).
fof(f2462,plain,
( sQ189_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2461]) ).
fof(f2463,plain,
sQ189_spl,
inference(contradiction_clause,[status(thm)],[f2462]) ).
fof(f2466,plain,
( sQ124_spl
| op(e4,op(e4,e4)) != e4 ),
inference(forward_demodulation,[status(thm)],[f39,f1013]) ).
fof(f2467,plain,
( sQ124_spl
| op(e4,e4) != e4 ),
inference(forward_demodulation,[status(thm)],[f39,f2466]) ).
fof(f2468,plain,
( sQ124_spl
| e4 != e4 ),
inference(forward_demodulation,[status(thm)],[f39,f2467]) ).
fof(f2469,plain,
( sQ124_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2468]) ).
fof(f2470,plain,
sQ124_spl,
inference(contradiction_clause,[status(thm)],[f2469]) ).
fof(f2471,plain,
( sQ123_spl
| op(e2,e1) != e4 ),
inference(forward_demodulation,[status(thm)],[f38,f1838]) ).
fof(f2472,plain,
( sQ123_spl
| e4 != e4 ),
inference(forward_demodulation,[status(thm)],[f26,f2471]) ).
fof(f2473,plain,
( sQ123_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2472]) ).
fof(f2474,plain,
sQ123_spl,
inference(contradiction_clause,[status(thm)],[f2473]) ).
fof(f2477,plain,
( sQ122_spl
| op(e3,e0) != e4 ),
inference(forward_demodulation,[status(thm)],[f37,f1837]) ).
fof(f2478,plain,
( sQ122_spl
| e4 != e4 ),
inference(forward_demodulation,[status(thm)],[f30,f2477]) ).
fof(f2479,plain,
( sQ122_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2478]) ).
fof(f2480,plain,
sQ122_spl,
inference(contradiction_clause,[status(thm)],[f2479]) ).
fof(f2483,plain,
( sQ121_spl
| op(e0,e2) != e4 ),
inference(forward_demodulation,[status(thm)],[f36,f1835]) ).
fof(f2484,plain,
( sQ121_spl
| e4 != e4 ),
inference(forward_demodulation,[status(thm)],[f17,f2483]) ).
fof(f2485,plain,
( sQ121_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2484]) ).
fof(f2486,plain,
sQ121_spl,
inference(contradiction_clause,[status(thm)],[f2485]) ).
fof(f2489,plain,
( sQ24_spl
| op(e4,e4) != e4 ),
inference(forward_demodulation,[status(thm)],[f39,f713]) ).
fof(f2490,plain,
( sQ24_spl
| e4 != e4 ),
inference(forward_demodulation,[status(thm)],[f39,f2489]) ).
fof(f2491,plain,
( sQ24_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2490]) ).
fof(f2492,plain,
sQ24_spl,
inference(contradiction_clause,[status(thm)],[f2491]) ).
fof(f2495,plain,
( sQ8_spl
| op(e4,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f23,f665]) ).
fof(f2496,plain,
( sQ8_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f38,f2495]) ).
fof(f2497,plain,
( sQ8_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2496]) ).
fof(f2498,plain,
sQ8_spl,
inference(contradiction_clause,[status(thm)],[f2497]) ).
fof(f2500,plain,
( sQ7_spl
| op(e3,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f22,f662]) ).
fof(f2501,plain,
( sQ7_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f32,f2500]) ).
fof(f2502,plain,
( sQ7_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2501]) ).
fof(f2503,plain,
sQ7_spl,
inference(contradiction_clause,[status(thm)],[f2502]) ).
fof(f2505,plain,
( sQ6_spl
| op(e1,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f21,f659]) ).
fof(f2506,plain,
( sQ6_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f21,f2505]) ).
fof(f2507,plain,
( sQ6_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2506]) ).
fof(f2508,plain,
sQ6_spl,
inference(contradiction_clause,[status(thm)],[f2507]) ).
fof(f2510,plain,
( sQ5_spl
| op(e2,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f20,f656]) ).
fof(f2511,plain,
( sQ5_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f25,f2510]) ).
fof(f2512,plain,
( sQ5_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2511]) ).
fof(f2513,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f2512]) ).
fof(f2515,plain,
( sQ4_spl
| op(e1,e4) != e0 ),
inference(forward_demodulation,[status(thm)],[f19,f653]) ).
fof(f2516,plain,
( sQ4_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f24,f2515]) ).
fof(f2517,plain,
( sQ4_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2516]) ).
fof(f2518,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f2517]) ).
fof(f2520,plain,
( sQ3_spl
| op(e2,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f18,f650]) ).
fof(f2521,plain,
( sQ3_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f28,f2520]) ).
fof(f2522,plain,
( sQ3_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2521]) ).
fof(f2523,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f2522]) ).
fof(f2525,plain,
( sQ2_spl
| op(e4,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f17,f647]) ).
fof(f2526,plain,
( sQ2_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f37,f2525]) ).
fof(f2527,plain,
( sQ2_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2526]) ).
fof(f2528,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f2527]) ).
fof(f2530,plain,
( sQ0_spl
| op(e0,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f15,f641]) ).
fof(f2531,plain,
( sQ0_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f15,f2530]) ).
fof(f2532,plain,
( sQ0_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2531]) ).
fof(f2533,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f2532]) ).
fof(f2535,plain,
( sQ1_spl
| op(e3,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f16,f644]) ).
fof(f2536,plain,
( sQ1_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f31,f2535]) ).
fof(f2537,plain,
( sQ1_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2536]) ).
fof(f2538,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f2537]) ).
fof(f2541,plain,
( sQ129_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f15,f1033]) ).
fof(f2542,plain,
( sQ129_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2541]) ).
fof(f2543,plain,
sQ129_spl,
inference(contradiction_clause,[status(thm)],[f2542]) ).
fof(f2544,plain,
$false,
inference(sat_refutation,[status(thm)],[f1030,f1034,f1067,f1092,f1105,f1122,f1144,f1161,f1190,f1215,f1220,f1242,f1275,f1288,f1301,f1334,f1356,f1361,f1386,f1415,f1432,f1454,f1471,f1484,f1509,f1539,f1541,f1547,f1557,f1561,f1568,f1572,f1578,f1587,f1591,f1598,f1605,f1610,f1614,f1620,f1625,f1635,f1639,f1643,f1652,f1657,f1664,f1671,f1673,f1682,f1687,f1693,f1701,f1704,f1710,f1715,f1722,f1729,f1735,f1743,f1749,f1751,f1760,f1766,f1769,f1776,f1783,f1788,f1796,f1799,f1806,f1814,f1817,f1825,f1833,f1842,f1846,f1853,f1860,f1867,f1880,f1906,f1913,f1941,f1946,f1953,f1960,f1975,f1984,f1999,f2004,f2011,f2031,f2038,f2043,f2050,f2057,f2072,f2087,f2094,f2103,f2110,f2122,f2145,f2150,f2157,f2173,f2177,f2193,f2197,f2202,f2230,f2242,f2247,f2252,f2268,f2272,f2288,f2292,f2297,f2305,f2336,f2340,f2345,f2350,f2358,f2362,f2374,f2384,f2408,f2426,f2430,f2442,f2447,f2463,f2470,f2474,f2480,f2486,f2492,f2498,f2503,f2508,f2513,f2518,f2523,f2528,f2533,f2538,f2543]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG189+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n020.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 13:01:48 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.14/0.38 % Drodi V4.1.1
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.44 % Elapsed time: 0.069232 seconds
% 0.14/0.44 % CPU time: 0.315761 seconds
% 0.14/0.44 % Total memory used: 96.622 MB
% 0.14/0.44 % Net memory used: 96.406 MB
%------------------------------------------------------------------------------