%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG188+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 : Tue Sep 29 09:18:08 AM UTC 2026
% Result : Theorem 2.95s 1.11s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 225
% Syntax : Number of formulae : 1017 ( 201 unt; 223 def)
% Number of atoms : 4515 (2465 equ)
% Maximal formula atoms : 425 ( 4 avg)
% Number of connectives : 6085 (2587 ~;2181 |;1168 &)
% ( 149 <=>; 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 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
( op(e0,e0) = e0
& op(e0,e1) = e3
& op(e0,e2) = e4
& op(e0,e3) = e1
& op(e0,e4) = e2
& op(e1,e0) = e4
& op(e1,e1) = e1
& op(e1,e2) = e3
& op(e1,e3) = e2
& op(e1,e4) = e0
& op(e2,e0) = e1
& op(e2,e1) = e0
& op(e2,e2) = e2
& op(e2,e3) = e4
& op(e2,e4) = e3
& op(e3,e0) = e2
& op(e3,e1) = e4
& op(e3,e2) = e0
& op(e3,e3) = e3
& op(e3,e4) = e1
& op(e4,e0) = e3
& op(e4,e1) = e2
& op(e4,e2) = e1
& op(e4,e3) = e0
& op(e4,e4) = e4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f3,conjecture,
( op(e0,op(e0,e0)) = e0
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e4)) = e4
& op(e1,op(e1,e0)) = e0
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e4)) = e4
& op(e2,op(e2,e0)) = e0
& op(e2,op(e2,e1)) = e1
& op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e3)) = e3
& op(e2,op(e2,e4)) = e4
& op(e3,op(e3,e0)) = e0
& op(e3,op(e3,e1)) = e1
& op(e3,op(e3,e2)) = e2
& op(e3,op(e3,e3)) = e3
& op(e3,op(e3,e4)) = e4
& op(e4,op(e4,e0)) = e0
& op(e4,op(e4,e1)) = e1
& op(e4,op(e4,e2)) = e2
& op(e4,op(e4,e3)) = e3
& op(e4,op(e4,e4)) = e4
& ( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e0) = e4 )
& ( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4 )
& ( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4 )
& ( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 )
& ( op(e0,e4) = e0
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 )
& ( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = e4 )
& ( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3
| op(e1,e1) = e4 )
& ( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3
| op(e1,e2) = e4 )
& ( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3
| op(e1,e3) = e4 )
& ( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4 )
& ( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3
| op(e2,e0) = e4 )
& ( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 )
& ( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3
| op(e2,e2) = e4 )
& ( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3
| op(e2,e3) = e4 )
& ( op(e2,e4) = e0
| op(e2,e4) = e1
| op(e2,e4) = e2
| op(e2,e4) = e3
| op(e2,e4) = e4 )
& ( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 )
& ( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4 )
& ( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 )
& ( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3
| op(e3,e3) = e4 )
& ( op(e3,e4) = e0
| op(e3,e4) = e1
| op(e3,e4) = e2
| op(e3,e4) = e3
| op(e3,e4) = e4 )
& ( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 )
& ( op(e4,e1) = e0
| op(e4,e1) = e1
| op(e4,e1) = e2
| op(e4,e1) = e3
| op(e4,e1) = e4 )
& ( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3
| op(e4,e2) = e4 )
& ( op(e4,e3) = e0
| op(e4,e3) = e1
| op(e4,e3) = e2
| op(e4,e3) = e3
| op(e4,e3) = e4 )
& ( op(e4,e4) = e0
| op(e4,e4) = e1
| op(e4,e4) = e2
| op(e4,e4) = e3
| op(e4,e4) = e4 )
& ( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0
| op(e0,e4) = e0 )
& ( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0
| op(e4,e0) = e0 )
& ( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e4) = e1 )
& ( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e4,e0) = e1 )
& ( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2
| op(e0,e4) = e2 )
& ( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2
| op(e4,e0) = e2 )
& ( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3
| op(e0,e4) = e3 )
& ( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3
| op(e4,e0) = e3 )
& ( op(e0,e0) = e4
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e3) = e4
| op(e0,e4) = e4 )
& ( op(e0,e0) = e4
| op(e1,e0) = e4
| op(e2,e0) = e4
| op(e3,e0) = e4
| op(e4,e0) = e4 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e4) = e0 )
& ( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e1) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1
| op(e1,e4) = e1 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e4,e1) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2
| op(e1,e4) = e2 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 )
& ( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4
| op(e1,e4) = e4 )
& ( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2
| op(e2,e4) = e2 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3
| op(e2,e4) = e3 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 )
& ( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 )
& ( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e4) = e0 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1
| op(e3,e4) = e1 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e4,e3) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2
| op(e3,e4) = e2 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3
| op(e3,e4) = e3 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3
| op(e4,e3) = e3 )
& ( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e3) = e4
| op(e3,e4) = e4 )
& ( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4
| op(e4,e3) = e4 )
& ( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e4) = e0
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 )
& ( op(e4,e0) = e1
| op(e4,e1) = e1
| op(e4,e2) = e1
| op(e4,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 )
& ( op(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e4) = e2
| op(e1,e4) = e2
| op(e2,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 )
& ( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 )
& ( op(e4,e0) = e4
| op(e4,e1) = e4
| op(e4,e2) = e4
| op(e4,e3) = e4
| op(e4,e4) = e4 )
& ( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4
| op(e4,e4) = e4 )
& op(op(e0,e0),op(e0,e0)) = e0
& op(op(e1,e0),op(e0,e1)) = e0
& op(op(e2,e0),op(e0,e2)) = e0
& op(op(e3,e0),op(e0,e3)) = e0
& op(op(e4,e0),op(e0,e4)) = e0
& op(op(e0,e1),op(e1,e0)) = e1
& op(op(e1,e1),op(e1,e1)) = e1
& op(op(e2,e1),op(e1,e2)) = e1
& op(op(e3,e1),op(e1,e3)) = e1
& op(op(e4,e1),op(e1,e4)) = e1
& op(op(e0,e2),op(e2,e0)) = e2
& op(op(e1,e2),op(e2,e1)) = e2
& op(op(e2,e2),op(e2,e2)) = e2
& op(op(e3,e2),op(e2,e3)) = e2
& op(op(e4,e2),op(e2,e4)) = e2
& op(op(e0,e3),op(e3,e0)) = e3
& op(op(e1,e3),op(e3,e1)) = e3
& op(op(e2,e3),op(e3,e2)) = e3
& op(op(e3,e3),op(e3,e3)) = e3
& op(op(e4,e3),op(e3,e4)) = e3
& op(op(e0,e4),op(e4,e0)) = e4
& op(op(e1,e4),op(e4,e1)) = e4
& op(op(e2,e4),op(e4,e2)) = e4
& op(op(e3,e4),op(e4,e3)) = e4
& op(op(e4,e4),op(e4,e4)) = e4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f4,negated_conjecture,
~ ( op(e0,op(e0,e0)) = e0
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e4)) = e4
& op(e1,op(e1,e0)) = e0
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e4)) = e4
& op(e2,op(e2,e0)) = e0
& op(e2,op(e2,e1)) = e1
& op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e3)) = e3
& op(e2,op(e2,e4)) = e4
& op(e3,op(e3,e0)) = e0
& op(e3,op(e3,e1)) = e1
& op(e3,op(e3,e2)) = e2
& op(e3,op(e3,e3)) = e3
& op(e3,op(e3,e4)) = e4
& op(e4,op(e4,e0)) = e0
& op(e4,op(e4,e1)) = e1
& op(e4,op(e4,e2)) = e2
& op(e4,op(e4,e3)) = e3
& op(e4,op(e4,e4)) = e4
& ( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e0) = e4 )
& ( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4 )
& ( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4 )
& ( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 )
& ( op(e0,e4) = e0
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 )
& ( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = e4 )
& ( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3
| op(e1,e1) = e4 )
& ( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3
| op(e1,e2) = e4 )
& ( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3
| op(e1,e3) = e4 )
& ( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4 )
& ( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3
| op(e2,e0) = e4 )
& ( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 )
& ( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3
| op(e2,e2) = e4 )
& ( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3
| op(e2,e3) = e4 )
& ( op(e2,e4) = e0
| op(e2,e4) = e1
| op(e2,e4) = e2
| op(e2,e4) = e3
| op(e2,e4) = e4 )
& ( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 )
& ( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4 )
& ( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 )
& ( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3
| op(e3,e3) = e4 )
& ( op(e3,e4) = e0
| op(e3,e4) = e1
| op(e3,e4) = e2
| op(e3,e4) = e3
| op(e3,e4) = e4 )
& ( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 )
& ( op(e4,e1) = e0
| op(e4,e1) = e1
| op(e4,e1) = e2
| op(e4,e1) = e3
| op(e4,e1) = e4 )
& ( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3
| op(e4,e2) = e4 )
& ( op(e4,e3) = e0
| op(e4,e3) = e1
| op(e4,e3) = e2
| op(e4,e3) = e3
| op(e4,e3) = e4 )
& ( op(e4,e4) = e0
| op(e4,e4) = e1
| op(e4,e4) = e2
| op(e4,e4) = e3
| op(e4,e4) = e4 )
& ( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0
| op(e0,e4) = e0 )
& ( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0
| op(e4,e0) = e0 )
& ( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e4) = e1 )
& ( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e4,e0) = e1 )
& ( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2
| op(e0,e4) = e2 )
& ( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2
| op(e4,e0) = e2 )
& ( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3
| op(e0,e4) = e3 )
& ( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3
| op(e4,e0) = e3 )
& ( op(e0,e0) = e4
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e3) = e4
| op(e0,e4) = e4 )
& ( op(e0,e0) = e4
| op(e1,e0) = e4
| op(e2,e0) = e4
| op(e3,e0) = e4
| op(e4,e0) = e4 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e4) = e0 )
& ( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e1) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1
| op(e1,e4) = e1 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e4,e1) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2
| op(e1,e4) = e2 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 )
& ( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4
| op(e1,e4) = e4 )
& ( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2
| op(e2,e4) = e2 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3
| op(e2,e4) = e3 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 )
& ( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 )
& ( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e4) = e0 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1
| op(e3,e4) = e1 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e4,e3) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2
| op(e3,e4) = e2 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3
| op(e3,e4) = e3 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3
| op(e4,e3) = e3 )
& ( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e3) = e4
| op(e3,e4) = e4 )
& ( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4
| op(e4,e3) = e4 )
& ( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e4) = e0
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 )
& ( op(e4,e0) = e1
| op(e4,e1) = e1
| op(e4,e2) = e1
| op(e4,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 )
& ( op(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e4) = e2
| op(e1,e4) = e2
| op(e2,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 )
& ( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 )
& ( op(e4,e0) = e4
| op(e4,e1) = e4
| op(e4,e2) = e4
| op(e4,e3) = e4
| op(e4,e4) = e4 )
& ( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4
| op(e4,e4) = e4 )
& op(op(e0,e0),op(e0,e0)) = e0
& op(op(e1,e0),op(e0,e1)) = e0
& op(op(e2,e0),op(e0,e2)) = e0
& op(op(e3,e0),op(e0,e3)) = e0
& op(op(e4,e0),op(e0,e4)) = e0
& op(op(e0,e1),op(e1,e0)) = e1
& op(op(e1,e1),op(e1,e1)) = e1
& op(op(e2,e1),op(e1,e2)) = e1
& op(op(e3,e1),op(e1,e3)) = e1
& op(op(e4,e1),op(e1,e4)) = e1
& op(op(e0,e2),op(e2,e0)) = e2
& op(op(e1,e2),op(e2,e1)) = e2
& op(op(e2,e2),op(e2,e2)) = e2
& op(op(e3,e2),op(e2,e3)) = e2
& op(op(e4,e2),op(e2,e4)) = e2
& op(op(e0,e3),op(e3,e0)) = e3
& op(op(e1,e3),op(e3,e1)) = e3
& op(op(e2,e3),op(e3,e2)) = e3
& op(op(e3,e3),op(e3,e3)) = e3
& op(op(e4,e3),op(e3,e4)) = e3
& op(op(e0,e4),op(e4,e0)) = e4
& op(op(e1,e4),op(e4,e1)) = e4
& op(op(e2,e4),op(e4,e2)) = e4
& op(op(e3,e4),op(e4,e3)) = e4
& op(op(e4,e4),op(e4,e4)) = e4 ),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,plain,
( e0 != op(e0,op(e0,e0))
| e1 != op(e0,op(e0,e1))
| e2 != op(e0,op(e0,e2))
| e3 != op(e0,op(e0,e3))
| e4 != op(e0,op(e0,e4))
| e0 != op(e1,op(e1,e0))
| e1 != op(e1,op(e1,e1))
| e2 != op(e1,op(e1,e2))
| e3 != op(e1,op(e1,e3))
| e4 != op(e1,op(e1,e4))
| e0 != op(e2,op(e2,e0))
| e1 != op(e2,op(e2,e1))
| e2 != op(e2,op(e2,e2))
| e3 != op(e2,op(e2,e3))
| e4 != op(e2,op(e2,e4))
| e0 != op(e3,op(e3,e0))
| e1 != op(e3,op(e3,e1))
| e2 != op(e3,op(e3,e2))
| e3 != op(e3,op(e3,e3))
| e4 != op(e3,op(e3,e4))
| e0 != op(e4,op(e4,e0))
| e1 != op(e4,op(e4,e1))
| e2 != op(e4,op(e4,e2))
| e3 != op(e4,op(e4,e3))
| e4 != op(e4,op(e4,e4))
| ( e0 != op(e0,e0)
& e1 != op(e0,e0)
& e2 != op(e0,e0)
& e3 != op(e0,e0)
& e4 != op(e0,e0) )
| ( e0 != op(e0,e1)
& e1 != op(e0,e1)
& e2 != op(e0,e1)
& e3 != op(e0,e1)
& e4 != op(e0,e1) )
| ( e0 != op(e0,e2)
& e1 != op(e0,e2)
& e2 != op(e0,e2)
& e3 != op(e0,e2)
& e4 != op(e0,e2) )
| ( e0 != op(e0,e3)
& e1 != op(e0,e3)
& e2 != op(e0,e3)
& e3 != op(e0,e3)
& e4 != op(e0,e3) )
| ( e0 != op(e0,e4)
& e1 != op(e0,e4)
& e2 != op(e0,e4)
& e3 != op(e0,e4)
& e4 != op(e0,e4) )
| ( e0 != op(e1,e0)
& e1 != op(e1,e0)
& e2 != op(e1,e0)
& e3 != op(e1,e0)
& e4 != op(e1,e0) )
| ( e0 != op(e1,e1)
& e1 != op(e1,e1)
& e2 != op(e1,e1)
& e3 != op(e1,e1)
& e4 != op(e1,e1) )
| ( e0 != op(e1,e2)
& e1 != op(e1,e2)
& e2 != op(e1,e2)
& e3 != op(e1,e2)
& e4 != op(e1,e2) )
| ( e0 != op(e1,e3)
& e1 != op(e1,e3)
& e2 != op(e1,e3)
& e3 != op(e1,e3)
& e4 != op(e1,e3) )
| ( e0 != op(e1,e4)
& e1 != op(e1,e4)
& e2 != op(e1,e4)
& e3 != op(e1,e4)
& e4 != op(e1,e4) )
| ( e0 != op(e2,e0)
& e1 != op(e2,e0)
& e2 != op(e2,e0)
& e3 != op(e2,e0)
& e4 != op(e2,e0) )
| ( e0 != op(e2,e1)
& e1 != op(e2,e1)
& e2 != op(e2,e1)
& e3 != op(e2,e1)
& e4 != op(e2,e1) )
| ( e0 != op(e2,e2)
& e1 != op(e2,e2)
& e2 != op(e2,e2)
& e3 != op(e2,e2)
& e4 != op(e2,e2) )
| ( e0 != op(e2,e3)
& e1 != op(e2,e3)
& e2 != op(e2,e3)
& e3 != op(e2,e3)
& e4 != op(e2,e3) )
| ( e0 != op(e2,e4)
& e1 != op(e2,e4)
& e2 != op(e2,e4)
& e3 != op(e2,e4)
& e4 != op(e2,e4) )
| ( e0 != op(e3,e0)
& e1 != op(e3,e0)
& e2 != op(e3,e0)
& e3 != op(e3,e0)
& e4 != op(e3,e0) )
| ( e0 != op(e3,e1)
& e1 != op(e3,e1)
& e2 != op(e3,e1)
& e3 != op(e3,e1)
& e4 != op(e3,e1) )
| ( e0 != op(e3,e2)
& e1 != op(e3,e2)
& e2 != op(e3,e2)
& e3 != op(e3,e2)
& e4 != op(e3,e2) )
| ( e0 != op(e3,e3)
& e1 != op(e3,e3)
& e2 != op(e3,e3)
& e3 != op(e3,e3)
& e4 != op(e3,e3) )
| ( e0 != op(e3,e4)
& e1 != op(e3,e4)
& e2 != op(e3,e4)
& e3 != op(e3,e4)
& e4 != op(e3,e4) )
| ( e0 != op(e4,e0)
& e1 != op(e4,e0)
& e2 != op(e4,e0)
& e3 != op(e4,e0)
& e4 != op(e4,e0) )
| ( e0 != op(e4,e1)
& e1 != op(e4,e1)
& e2 != op(e4,e1)
& e3 != op(e4,e1)
& e4 != op(e4,e1) )
| ( e0 != op(e4,e2)
& e1 != op(e4,e2)
& e2 != op(e4,e2)
& e3 != op(e4,e2)
& e4 != op(e4,e2) )
| ( e0 != op(e4,e3)
& e1 != op(e4,e3)
& e2 != op(e4,e3)
& e3 != op(e4,e3)
& e4 != op(e4,e3) )
| ( e0 != op(e4,e4)
& e1 != op(e4,e4)
& e2 != op(e4,e4)
& e3 != op(e4,e4)
& e4 != op(e4,e4) )
| ( e0 != op(e0,e0)
& e0 != op(e0,e1)
& e0 != op(e0,e2)
& e0 != op(e0,e3)
& e0 != op(e0,e4) )
| ( e0 != op(e0,e0)
& e0 != op(e1,e0)
& e0 != op(e2,e0)
& e0 != op(e3,e0)
& e0 != op(e4,e0) )
| ( e1 != op(e0,e0)
& e1 != op(e0,e1)
& e1 != op(e0,e2)
& e1 != op(e0,e3)
& e1 != op(e0,e4) )
| ( e1 != op(e0,e0)
& e1 != op(e1,e0)
& e1 != op(e2,e0)
& e1 != op(e3,e0)
& e1 != op(e4,e0) )
| ( e2 != op(e0,e0)
& e2 != op(e0,e1)
& e2 != op(e0,e2)
& e2 != op(e0,e3)
& e2 != op(e0,e4) )
| ( e2 != op(e0,e0)
& e2 != op(e1,e0)
& e2 != op(e2,e0)
& e2 != op(e3,e0)
& e2 != op(e4,e0) )
| ( e3 != op(e0,e0)
& e3 != op(e0,e1)
& e3 != op(e0,e2)
& e3 != op(e0,e3)
& e3 != op(e0,e4) )
| ( e3 != op(e0,e0)
& e3 != op(e1,e0)
& e3 != op(e2,e0)
& e3 != op(e3,e0)
& e3 != op(e4,e0) )
| ( e4 != op(e0,e0)
& e4 != op(e0,e1)
& e4 != op(e0,e2)
& e4 != op(e0,e3)
& e4 != op(e0,e4) )
| ( e4 != op(e0,e0)
& e4 != op(e1,e0)
& e4 != op(e2,e0)
& e4 != op(e3,e0)
& e4 != op(e4,e0) )
| ( e0 != op(e1,e0)
& e0 != op(e1,e1)
& e0 != op(e1,e2)
& e0 != op(e1,e3)
& e0 != op(e1,e4) )
| ( e0 != op(e0,e1)
& e0 != op(e1,e1)
& e0 != op(e2,e1)
& e0 != op(e3,e1)
& e0 != op(e4,e1) )
| ( e1 != op(e1,e0)
& e1 != op(e1,e1)
& e1 != op(e1,e2)
& e1 != op(e1,e3)
& e1 != op(e1,e4) )
| ( e1 != op(e0,e1)
& e1 != op(e1,e1)
& e1 != op(e2,e1)
& e1 != op(e3,e1)
& e1 != op(e4,e1) )
| ( e2 != op(e1,e0)
& e2 != op(e1,e1)
& e2 != op(e1,e2)
& e2 != op(e1,e3)
& e2 != op(e1,e4) )
| ( e2 != op(e0,e1)
& e2 != op(e1,e1)
& e2 != op(e2,e1)
& e2 != op(e3,e1)
& e2 != op(e4,e1) )
| ( e3 != op(e1,e0)
& e3 != op(e1,e1)
& e3 != op(e1,e2)
& e3 != op(e1,e3)
& e3 != op(e1,e4) )
| ( e3 != op(e0,e1)
& e3 != op(e1,e1)
& e3 != op(e2,e1)
& e3 != op(e3,e1)
& e3 != op(e4,e1) )
| ( e4 != op(e1,e0)
& e4 != op(e1,e1)
& e4 != op(e1,e2)
& e4 != op(e1,e3)
& e4 != op(e1,e4) )
| ( e4 != op(e0,e1)
& e4 != op(e1,e1)
& e4 != op(e2,e1)
& e4 != op(e3,e1)
& e4 != op(e4,e1) )
| ( e0 != op(e2,e0)
& e0 != op(e2,e1)
& e0 != op(e2,e2)
& e0 != op(e2,e3)
& e0 != op(e2,e4) )
| ( e0 != op(e0,e2)
& e0 != op(e1,e2)
& e0 != op(e2,e2)
& e0 != op(e3,e2)
& e0 != op(e4,e2) )
| ( e1 != op(e2,e0)
& e1 != op(e2,e1)
& e1 != op(e2,e2)
& e1 != op(e2,e3)
& e1 != op(e2,e4) )
| ( e1 != op(e0,e2)
& e1 != op(e1,e2)
& e1 != op(e2,e2)
& e1 != op(e3,e2)
& e1 != op(e4,e2) )
| ( e2 != op(e2,e0)
& e2 != op(e2,e1)
& e2 != op(e2,e2)
& e2 != op(e2,e3)
& e2 != op(e2,e4) )
| ( e2 != op(e0,e2)
& e2 != op(e1,e2)
& e2 != op(e2,e2)
& e2 != op(e3,e2)
& e2 != op(e4,e2) )
| ( e3 != op(e2,e0)
& e3 != op(e2,e1)
& e3 != op(e2,e2)
& e3 != op(e2,e3)
& e3 != op(e2,e4) )
| ( e3 != op(e0,e2)
& e3 != op(e1,e2)
& e3 != op(e2,e2)
& e3 != op(e3,e2)
& e3 != op(e4,e2) )
| ( e4 != op(e2,e0)
& e4 != op(e2,e1)
& e4 != op(e2,e2)
& e4 != op(e2,e3)
& e4 != op(e2,e4) )
| ( e4 != op(e0,e2)
& e4 != op(e1,e2)
& e4 != op(e2,e2)
& e4 != op(e3,e2)
& e4 != op(e4,e2) )
| ( e0 != op(e3,e0)
& e0 != op(e3,e1)
& e0 != op(e3,e2)
& e0 != op(e3,e3)
& e0 != op(e3,e4) )
| ( e0 != op(e0,e3)
& e0 != op(e1,e3)
& e0 != op(e2,e3)
& e0 != op(e3,e3)
& e0 != op(e4,e3) )
| ( e1 != op(e3,e0)
& e1 != op(e3,e1)
& e1 != op(e3,e2)
& e1 != op(e3,e3)
& e1 != op(e3,e4) )
| ( e1 != op(e0,e3)
& e1 != op(e1,e3)
& e1 != op(e2,e3)
& e1 != op(e3,e3)
& e1 != op(e4,e3) )
| ( e2 != op(e3,e0)
& e2 != op(e3,e1)
& e2 != op(e3,e2)
& e2 != op(e3,e3)
& e2 != op(e3,e4) )
| ( e2 != op(e0,e3)
& e2 != op(e1,e3)
& e2 != op(e2,e3)
& e2 != op(e3,e3)
& e2 != op(e4,e3) )
| ( e3 != op(e3,e0)
& e3 != op(e3,e1)
& e3 != op(e3,e2)
& e3 != op(e3,e3)
& e3 != op(e3,e4) )
| ( e3 != op(e0,e3)
& e3 != op(e1,e3)
& e3 != op(e2,e3)
& e3 != op(e3,e3)
& e3 != op(e4,e3) )
| ( e4 != op(e3,e0)
& e4 != op(e3,e1)
& e4 != op(e3,e2)
& e4 != op(e3,e3)
& e4 != op(e3,e4) )
| ( e4 != op(e0,e3)
& e4 != op(e1,e3)
& e4 != op(e2,e3)
& e4 != op(e3,e3)
& e4 != op(e4,e3) )
| ( e0 != op(e4,e0)
& e0 != op(e4,e1)
& e0 != op(e4,e2)
& e0 != op(e4,e3)
& e0 != op(e4,e4) )
| ( e0 != op(e0,e4)
& e0 != op(e1,e4)
& e0 != op(e2,e4)
& e0 != op(e3,e4)
& e0 != op(e4,e4) )
| ( e1 != op(e4,e0)
& e1 != op(e4,e1)
& e1 != op(e4,e2)
& e1 != op(e4,e3)
& e1 != op(e4,e4) )
| ( e1 != op(e0,e4)
& e1 != op(e1,e4)
& e1 != op(e2,e4)
& e1 != op(e3,e4)
& e1 != op(e4,e4) )
| ( e2 != op(e4,e0)
& e2 != op(e4,e1)
& e2 != op(e4,e2)
& e2 != op(e4,e3)
& e2 != op(e4,e4) )
| ( e2 != op(e0,e4)
& e2 != op(e1,e4)
& e2 != op(e2,e4)
& e2 != op(e3,e4)
& e2 != op(e4,e4) )
| ( e3 != op(e4,e0)
& e3 != op(e4,e1)
& e3 != op(e4,e2)
& e3 != op(e4,e3)
& e3 != op(e4,e4) )
| ( e3 != op(e0,e4)
& e3 != op(e1,e4)
& e3 != op(e2,e4)
& e3 != op(e3,e4)
& e3 != op(e4,e4) )
| ( e4 != op(e4,e0)
& e4 != op(e4,e1)
& e4 != op(e4,e2)
& e4 != op(e4,e3)
& e4 != op(e4,e4) )
| ( e4 != op(e0,e4)
& e4 != op(e1,e4)
& e4 != op(e2,e4)
& e4 != op(e3,e4)
& e4 != op(e4,e4) )
| e0 != op(op(e0,e0),op(e0,e0))
| e0 != op(op(e1,e0),op(e0,e1))
| e0 != op(op(e2,e0),op(e0,e2))
| e0 != op(op(e3,e0),op(e0,e3))
| e0 != op(op(e4,e0),op(e0,e4))
| e1 != op(op(e0,e1),op(e1,e0))
| e1 != op(op(e1,e1),op(e1,e1))
| e1 != op(op(e2,e1),op(e1,e2))
| e1 != op(op(e3,e1),op(e1,e3))
| e1 != op(op(e4,e1),op(e1,e4))
| e2 != op(op(e0,e2),op(e2,e0))
| e2 != op(op(e1,e2),op(e2,e1))
| e2 != op(op(e2,e2),op(e2,e2))
| e2 != op(op(e3,e2),op(e2,e3))
| e2 != op(op(e4,e2),op(e2,e4))
| e3 != op(op(e0,e3),op(e3,e0))
| e3 != op(op(e1,e3),op(e3,e1))
| e3 != op(op(e2,e3),op(e3,e2))
| e3 != op(op(e3,e3),op(e3,e3))
| e3 != op(op(e4,e3),op(e3,e4))
| e4 != op(op(e0,e4),op(e4,e0))
| e4 != op(op(e1,e4),op(e4,e1))
| e4 != op(op(e2,e4),op(e4,e2))
| e4 != op(op(e3,e4),op(e4,e3))
| e4 != op(op(e4,e4),op(e4,e4)) ),
inference(ennf_transformation,[],[f4]) ).
fof(f6,definition,
( ( e4 != op(e0,e4)
& e4 != op(e1,e4)
& e4 != op(e2,e4)
& e4 != op(e3,e4)
& e4 != op(e4,e4) )
| ~ sP0 ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f7,definition,
( ( e4 != op(e4,e0)
& e4 != op(e4,e1)
& e4 != op(e4,e2)
& e4 != op(e4,e3)
& e4 != op(e4,e4) )
| ~ sP1 ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f8,definition,
( ( e3 != op(e0,e4)
& e3 != op(e1,e4)
& e3 != op(e2,e4)
& e3 != op(e3,e4)
& e3 != op(e4,e4) )
| ~ sP2 ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f9,definition,
( ( e3 != op(e4,e0)
& e3 != op(e4,e1)
& e3 != op(e4,e2)
& e3 != op(e4,e3)
& e3 != op(e4,e4) )
| ~ sP3 ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f10,definition,
( ( e2 != op(e0,e4)
& e2 != op(e1,e4)
& e2 != op(e2,e4)
& e2 != op(e3,e4)
& e2 != op(e4,e4) )
| ~ sP4 ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f11,definition,
( ( e2 != op(e4,e0)
& e2 != op(e4,e1)
& e2 != op(e4,e2)
& e2 != op(e4,e3)
& e2 != op(e4,e4) )
| ~ sP5 ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f12,definition,
( ( e1 != op(e0,e4)
& e1 != op(e1,e4)
& e1 != op(e2,e4)
& e1 != op(e3,e4)
& e1 != op(e4,e4) )
| ~ sP6 ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f13,definition,
( ( e1 != op(e4,e0)
& e1 != op(e4,e1)
& e1 != op(e4,e2)
& e1 != op(e4,e3)
& e1 != op(e4,e4) )
| ~ sP7 ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f14,definition,
( ( e0 != op(e0,e4)
& e0 != op(e1,e4)
& e0 != op(e2,e4)
& e0 != op(e3,e4)
& e0 != op(e4,e4) )
| ~ sP8 ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f15,definition,
( ( e0 != op(e4,e0)
& e0 != op(e4,e1)
& e0 != op(e4,e2)
& e0 != op(e4,e3)
& e0 != op(e4,e4) )
| ~ sP9 ),
introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).
fof(f16,definition,
( ( e4 != op(e0,e3)
& e4 != op(e1,e3)
& e4 != op(e2,e3)
& e4 != op(e3,e3)
& e4 != op(e4,e3) )
| ~ sP10 ),
introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).
fof(f17,definition,
( ( e4 != op(e3,e0)
& e4 != op(e3,e1)
& e4 != op(e3,e2)
& e4 != op(e3,e3)
& e4 != op(e3,e4) )
| ~ sP11 ),
introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).
fof(f18,definition,
( ( e3 != op(e0,e3)
& e3 != op(e1,e3)
& e3 != op(e2,e3)
& e3 != op(e3,e3)
& e3 != op(e4,e3) )
| ~ sP12 ),
introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).
fof(f19,definition,
( ( e3 != op(e3,e0)
& e3 != op(e3,e1)
& e3 != op(e3,e2)
& e3 != op(e3,e3)
& e3 != op(e3,e4) )
| ~ sP13 ),
introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).
fof(f20,definition,
( ( e2 != op(e0,e3)
& e2 != op(e1,e3)
& e2 != op(e2,e3)
& e2 != op(e3,e3)
& e2 != op(e4,e3) )
| ~ sP14 ),
introduced(definition,[new_symbols(definition,[sP14])],[predicate_definition_introduction]) ).
fof(f21,definition,
( ( e2 != op(e3,e0)
& e2 != op(e3,e1)
& e2 != op(e3,e2)
& e2 != op(e3,e3)
& e2 != op(e3,e4) )
| ~ sP15 ),
introduced(definition,[new_symbols(definition,[sP15])],[predicate_definition_introduction]) ).
fof(f22,definition,
( ( e1 != op(e0,e3)
& e1 != op(e1,e3)
& e1 != op(e2,e3)
& e1 != op(e3,e3)
& e1 != op(e4,e3) )
| ~ sP16 ),
introduced(definition,[new_symbols(definition,[sP16])],[predicate_definition_introduction]) ).
fof(f23,definition,
( ( e1 != op(e3,e0)
& e1 != op(e3,e1)
& e1 != op(e3,e2)
& e1 != op(e3,e3)
& e1 != op(e3,e4) )
| ~ sP17 ),
introduced(definition,[new_symbols(definition,[sP17])],[predicate_definition_introduction]) ).
fof(f24,definition,
( ( e0 != op(e0,e3)
& e0 != op(e1,e3)
& e0 != op(e2,e3)
& e0 != op(e3,e3)
& e0 != op(e4,e3) )
| ~ sP18 ),
introduced(definition,[new_symbols(definition,[sP18])],[predicate_definition_introduction]) ).
fof(f25,definition,
( ( e0 != op(e3,e0)
& e0 != op(e3,e1)
& e0 != op(e3,e2)
& e0 != op(e3,e3)
& e0 != op(e3,e4) )
| ~ sP19 ),
introduced(definition,[new_symbols(definition,[sP19])],[predicate_definition_introduction]) ).
fof(f26,definition,
( ( e4 != op(e0,e2)
& e4 != op(e1,e2)
& e4 != op(e2,e2)
& e4 != op(e3,e2)
& e4 != op(e4,e2) )
| ~ sP20 ),
introduced(definition,[new_symbols(definition,[sP20])],[predicate_definition_introduction]) ).
fof(f27,definition,
( ( e4 != op(e2,e0)
& e4 != op(e2,e1)
& e4 != op(e2,e2)
& e4 != op(e2,e3)
& e4 != op(e2,e4) )
| ~ sP21 ),
introduced(definition,[new_symbols(definition,[sP21])],[predicate_definition_introduction]) ).
fof(f28,definition,
( ( e3 != op(e0,e2)
& e3 != op(e1,e2)
& e3 != op(e2,e2)
& e3 != op(e3,e2)
& e3 != op(e4,e2) )
| ~ sP22 ),
introduced(definition,[new_symbols(definition,[sP22])],[predicate_definition_introduction]) ).
fof(f29,definition,
( ( e3 != op(e2,e0)
& e3 != op(e2,e1)
& e3 != op(e2,e2)
& e3 != op(e2,e3)
& e3 != op(e2,e4) )
| ~ sP23 ),
introduced(definition,[new_symbols(definition,[sP23])],[predicate_definition_introduction]) ).
fof(f30,definition,
( ( e2 != op(e0,e2)
& e2 != op(e1,e2)
& e2 != op(e2,e2)
& e2 != op(e3,e2)
& e2 != op(e4,e2) )
| ~ sP24 ),
introduced(definition,[new_symbols(definition,[sP24])],[predicate_definition_introduction]) ).
fof(f31,definition,
( ( e2 != op(e2,e0)
& e2 != op(e2,e1)
& e2 != op(e2,e2)
& e2 != op(e2,e3)
& e2 != op(e2,e4) )
| ~ sP25 ),
introduced(definition,[new_symbols(definition,[sP25])],[predicate_definition_introduction]) ).
fof(f32,definition,
( ( e1 != op(e0,e2)
& e1 != op(e1,e2)
& e1 != op(e2,e2)
& e1 != op(e3,e2)
& e1 != op(e4,e2) )
| ~ sP26 ),
introduced(definition,[new_symbols(definition,[sP26])],[predicate_definition_introduction]) ).
fof(f33,definition,
( ( e1 != op(e2,e0)
& e1 != op(e2,e1)
& e1 != op(e2,e2)
& e1 != op(e2,e3)
& e1 != op(e2,e4) )
| ~ sP27 ),
introduced(definition,[new_symbols(definition,[sP27])],[predicate_definition_introduction]) ).
fof(f34,definition,
( ( e0 != op(e0,e2)
& e0 != op(e1,e2)
& e0 != op(e2,e2)
& e0 != op(e3,e2)
& e0 != op(e4,e2) )
| ~ sP28 ),
introduced(definition,[new_symbols(definition,[sP28])],[predicate_definition_introduction]) ).
fof(f35,definition,
( ( e0 != op(e2,e0)
& e0 != op(e2,e1)
& e0 != op(e2,e2)
& e0 != op(e2,e3)
& e0 != op(e2,e4) )
| ~ sP29 ),
introduced(definition,[new_symbols(definition,[sP29])],[predicate_definition_introduction]) ).
fof(f36,definition,
( ( e4 != op(e0,e1)
& e4 != op(e1,e1)
& e4 != op(e2,e1)
& e4 != op(e3,e1)
& e4 != op(e4,e1) )
| ~ sP30 ),
introduced(definition,[new_symbols(definition,[sP30])],[predicate_definition_introduction]) ).
fof(f37,definition,
( ( e4 != op(e1,e0)
& e4 != op(e1,e1)
& e4 != op(e1,e2)
& e4 != op(e1,e3)
& e4 != op(e1,e4) )
| ~ sP31 ),
introduced(definition,[new_symbols(definition,[sP31])],[predicate_definition_introduction]) ).
fof(f38,definition,
( ( e3 != op(e0,e1)
& e3 != op(e1,e1)
& e3 != op(e2,e1)
& e3 != op(e3,e1)
& e3 != op(e4,e1) )
| ~ sP32 ),
introduced(definition,[new_symbols(definition,[sP32])],[predicate_definition_introduction]) ).
fof(f39,definition,
( ( e3 != op(e1,e0)
& e3 != op(e1,e1)
& e3 != op(e1,e2)
& e3 != op(e1,e3)
& e3 != op(e1,e4) )
| ~ sP33 ),
introduced(definition,[new_symbols(definition,[sP33])],[predicate_definition_introduction]) ).
fof(f40,definition,
( ( e2 != op(e0,e1)
& e2 != op(e1,e1)
& e2 != op(e2,e1)
& e2 != op(e3,e1)
& e2 != op(e4,e1) )
| ~ sP34 ),
introduced(definition,[new_symbols(definition,[sP34])],[predicate_definition_introduction]) ).
fof(f41,definition,
( ( e2 != op(e1,e0)
& e2 != op(e1,e1)
& e2 != op(e1,e2)
& e2 != op(e1,e3)
& e2 != op(e1,e4) )
| ~ sP35 ),
introduced(definition,[new_symbols(definition,[sP35])],[predicate_definition_introduction]) ).
fof(f42,definition,
( ( e1 != op(e0,e1)
& e1 != op(e1,e1)
& e1 != op(e2,e1)
& e1 != op(e3,e1)
& e1 != op(e4,e1) )
| ~ sP36 ),
introduced(definition,[new_symbols(definition,[sP36])],[predicate_definition_introduction]) ).
fof(f43,definition,
( ( e1 != op(e1,e0)
& e1 != op(e1,e1)
& e1 != op(e1,e2)
& e1 != op(e1,e3)
& e1 != op(e1,e4) )
| ~ sP37 ),
introduced(definition,[new_symbols(definition,[sP37])],[predicate_definition_introduction]) ).
fof(f44,definition,
( ( e0 != op(e0,e1)
& e0 != op(e1,e1)
& e0 != op(e2,e1)
& e0 != op(e3,e1)
& e0 != op(e4,e1) )
| ~ sP38 ),
introduced(definition,[new_symbols(definition,[sP38])],[predicate_definition_introduction]) ).
fof(f45,definition,
( ( e0 != op(e1,e0)
& e0 != op(e1,e1)
& e0 != op(e1,e2)
& e0 != op(e1,e3)
& e0 != op(e1,e4) )
| ~ sP39 ),
introduced(definition,[new_symbols(definition,[sP39])],[predicate_definition_introduction]) ).
fof(f46,definition,
( ( e4 != op(e0,e0)
& e4 != op(e1,e0)
& e4 != op(e2,e0)
& e4 != op(e3,e0)
& e4 != op(e4,e0) )
| ~ sP40 ),
introduced(definition,[new_symbols(definition,[sP40])],[predicate_definition_introduction]) ).
fof(f47,definition,
( ( e4 != op(e0,e0)
& e4 != op(e0,e1)
& e4 != op(e0,e2)
& e4 != op(e0,e3)
& e4 != op(e0,e4) )
| ~ sP41 ),
introduced(definition,[new_symbols(definition,[sP41])],[predicate_definition_introduction]) ).
fof(f48,definition,
( ( e3 != op(e0,e0)
& e3 != op(e1,e0)
& e3 != op(e2,e0)
& e3 != op(e3,e0)
& e3 != op(e4,e0) )
| ~ sP42 ),
introduced(definition,[new_symbols(definition,[sP42])],[predicate_definition_introduction]) ).
fof(f49,definition,
( ( e3 != op(e0,e0)
& e3 != op(e0,e1)
& e3 != op(e0,e2)
& e3 != op(e0,e3)
& e3 != op(e0,e4) )
| ~ sP43 ),
introduced(definition,[new_symbols(definition,[sP43])],[predicate_definition_introduction]) ).
fof(f50,definition,
( ( e2 != op(e0,e0)
& e2 != op(e1,e0)
& e2 != op(e2,e0)
& e2 != op(e3,e0)
& e2 != op(e4,e0) )
| ~ sP44 ),
introduced(definition,[new_symbols(definition,[sP44])],[predicate_definition_introduction]) ).
fof(f51,definition,
( ( e2 != op(e0,e0)
& e2 != op(e0,e1)
& e2 != op(e0,e2)
& e2 != op(e0,e3)
& e2 != op(e0,e4) )
| ~ sP45 ),
introduced(definition,[new_symbols(definition,[sP45])],[predicate_definition_introduction]) ).
fof(f52,definition,
( ( e1 != op(e0,e0)
& e1 != op(e1,e0)
& e1 != op(e2,e0)
& e1 != op(e3,e0)
& e1 != op(e4,e0) )
| ~ sP46 ),
introduced(definition,[new_symbols(definition,[sP46])],[predicate_definition_introduction]) ).
fof(f53,definition,
( ( e1 != op(e0,e0)
& e1 != op(e0,e1)
& e1 != op(e0,e2)
& e1 != op(e0,e3)
& e1 != op(e0,e4) )
| ~ sP47 ),
introduced(definition,[new_symbols(definition,[sP47])],[predicate_definition_introduction]) ).
fof(f54,definition,
( ( e0 != op(e0,e0)
& e0 != op(e1,e0)
& e0 != op(e2,e0)
& e0 != op(e3,e0)
& e0 != op(e4,e0) )
| ~ sP48 ),
introduced(definition,[new_symbols(definition,[sP48])],[predicate_definition_introduction]) ).
fof(f55,definition,
( ( e0 != op(e0,e0)
& e0 != op(e0,e1)
& e0 != op(e0,e2)
& e0 != op(e0,e3)
& e0 != op(e0,e4) )
| ~ sP49 ),
introduced(definition,[new_symbols(definition,[sP49])],[predicate_definition_introduction]) ).
fof(f56,definition,
( ( e0 != op(e4,e4)
& e1 != op(e4,e4)
& e2 != op(e4,e4)
& e3 != op(e4,e4)
& e4 != op(e4,e4) )
| ~ sP50 ),
introduced(definition,[new_symbols(definition,[sP50])],[predicate_definition_introduction]) ).
fof(f57,definition,
( ( e0 != op(e4,e3)
& e1 != op(e4,e3)
& e2 != op(e4,e3)
& e3 != op(e4,e3)
& e4 != op(e4,e3) )
| ~ sP51 ),
introduced(definition,[new_symbols(definition,[sP51])],[predicate_definition_introduction]) ).
fof(f58,definition,
( ( e0 != op(e4,e2)
& e1 != op(e4,e2)
& e2 != op(e4,e2)
& e3 != op(e4,e2)
& e4 != op(e4,e2) )
| ~ sP52 ),
introduced(definition,[new_symbols(definition,[sP52])],[predicate_definition_introduction]) ).
fof(f59,definition,
( ( e0 != op(e4,e1)
& e1 != op(e4,e1)
& e2 != op(e4,e1)
& e3 != op(e4,e1)
& e4 != op(e4,e1) )
| ~ sP53 ),
introduced(definition,[new_symbols(definition,[sP53])],[predicate_definition_introduction]) ).
fof(f60,definition,
( ( e0 != op(e4,e0)
& e1 != op(e4,e0)
& e2 != op(e4,e0)
& e3 != op(e4,e0)
& e4 != op(e4,e0) )
| ~ sP54 ),
introduced(definition,[new_symbols(definition,[sP54])],[predicate_definition_introduction]) ).
fof(f61,definition,
( ( e0 != op(e3,e4)
& e1 != op(e3,e4)
& e2 != op(e3,e4)
& e3 != op(e3,e4)
& e4 != op(e3,e4) )
| ~ sP55 ),
introduced(definition,[new_symbols(definition,[sP55])],[predicate_definition_introduction]) ).
fof(f62,definition,
( ( e0 != op(e3,e3)
& e1 != op(e3,e3)
& e2 != op(e3,e3)
& e3 != op(e3,e3)
& e4 != op(e3,e3) )
| ~ sP56 ),
introduced(definition,[new_symbols(definition,[sP56])],[predicate_definition_introduction]) ).
fof(f63,definition,
( ( e0 != op(e3,e2)
& e1 != op(e3,e2)
& e2 != op(e3,e2)
& e3 != op(e3,e2)
& e4 != op(e3,e2) )
| ~ sP57 ),
introduced(definition,[new_symbols(definition,[sP57])],[predicate_definition_introduction]) ).
fof(f64,definition,
( ( e0 != op(e3,e1)
& e1 != op(e3,e1)
& e2 != op(e3,e1)
& e3 != op(e3,e1)
& e4 != op(e3,e1) )
| ~ sP58 ),
introduced(definition,[new_symbols(definition,[sP58])],[predicate_definition_introduction]) ).
fof(f65,definition,
( ( e0 != op(e3,e0)
& e1 != op(e3,e0)
& e2 != op(e3,e0)
& e3 != op(e3,e0)
& e4 != op(e3,e0) )
| ~ sP59 ),
introduced(definition,[new_symbols(definition,[sP59])],[predicate_definition_introduction]) ).
fof(f66,definition,
( ( e0 != op(e2,e4)
& e1 != op(e2,e4)
& e2 != op(e2,e4)
& e3 != op(e2,e4)
& e4 != op(e2,e4) )
| ~ sP60 ),
introduced(definition,[new_symbols(definition,[sP60])],[predicate_definition_introduction]) ).
fof(f67,definition,
( ( e0 != op(e2,e3)
& e1 != op(e2,e3)
& e2 != op(e2,e3)
& e3 != op(e2,e3)
& e4 != op(e2,e3) )
| ~ sP61 ),
introduced(definition,[new_symbols(definition,[sP61])],[predicate_definition_introduction]) ).
fof(f68,definition,
( ( e0 != op(e2,e2)
& e1 != op(e2,e2)
& e2 != op(e2,e2)
& e3 != op(e2,e2)
& e4 != op(e2,e2) )
| ~ sP62 ),
introduced(definition,[new_symbols(definition,[sP62])],[predicate_definition_introduction]) ).
fof(f69,definition,
( ( e0 != op(e2,e1)
& e1 != op(e2,e1)
& e2 != op(e2,e1)
& e3 != op(e2,e1)
& e4 != op(e2,e1) )
| ~ sP63 ),
introduced(definition,[new_symbols(definition,[sP63])],[predicate_definition_introduction]) ).
fof(f70,definition,
( ( e0 != op(e2,e0)
& e1 != op(e2,e0)
& e2 != op(e2,e0)
& e3 != op(e2,e0)
& e4 != op(e2,e0) )
| ~ sP64 ),
introduced(definition,[new_symbols(definition,[sP64])],[predicate_definition_introduction]) ).
fof(f71,definition,
( ( e0 != op(e1,e4)
& e1 != op(e1,e4)
& e2 != op(e1,e4)
& e3 != op(e1,e4)
& e4 != op(e1,e4) )
| ~ sP65 ),
introduced(definition,[new_symbols(definition,[sP65])],[predicate_definition_introduction]) ).
fof(f72,definition,
( ( e0 != op(e1,e3)
& e1 != op(e1,e3)
& e2 != op(e1,e3)
& e3 != op(e1,e3)
& e4 != op(e1,e3) )
| ~ sP66 ),
introduced(definition,[new_symbols(definition,[sP66])],[predicate_definition_introduction]) ).
fof(f73,definition,
( ( e0 != op(e1,e2)
& e1 != op(e1,e2)
& e2 != op(e1,e2)
& e3 != op(e1,e2)
& e4 != op(e1,e2) )
| ~ sP67 ),
introduced(definition,[new_symbols(definition,[sP67])],[predicate_definition_introduction]) ).
fof(f74,definition,
( ( e0 != op(e1,e1)
& e1 != op(e1,e1)
& e2 != op(e1,e1)
& e3 != op(e1,e1)
& e4 != op(e1,e1) )
| ~ sP68 ),
introduced(definition,[new_symbols(definition,[sP68])],[predicate_definition_introduction]) ).
fof(f75,definition,
( ( e0 != op(e1,e0)
& e1 != op(e1,e0)
& e2 != op(e1,e0)
& e3 != op(e1,e0)
& e4 != op(e1,e0) )
| ~ sP69 ),
introduced(definition,[new_symbols(definition,[sP69])],[predicate_definition_introduction]) ).
fof(f76,definition,
( ( e0 != op(e0,e4)
& e1 != op(e0,e4)
& e2 != op(e0,e4)
& e3 != op(e0,e4)
& e4 != op(e0,e4) )
| ~ sP70 ),
introduced(definition,[new_symbols(definition,[sP70])],[predicate_definition_introduction]) ).
fof(f77,definition,
( ( e0 != op(e0,e3)
& e1 != op(e0,e3)
& e2 != op(e0,e3)
& e3 != op(e0,e3)
& e4 != op(e0,e3) )
| ~ sP71 ),
introduced(definition,[new_symbols(definition,[sP71])],[predicate_definition_introduction]) ).
fof(f78,definition,
( ( e0 != op(e0,e2)
& e1 != op(e0,e2)
& e2 != op(e0,e2)
& e3 != op(e0,e2)
& e4 != op(e0,e2) )
| ~ sP72 ),
introduced(definition,[new_symbols(definition,[sP72])],[predicate_definition_introduction]) ).
fof(f79,definition,
( ( e0 != op(e0,e1)
& e1 != op(e0,e1)
& e2 != op(e0,e1)
& e3 != op(e0,e1)
& e4 != op(e0,e1) )
| ~ sP73 ),
introduced(definition,[new_symbols(definition,[sP73])],[predicate_definition_introduction]) ).
fof(f80,plain,
( e0 != op(e0,op(e0,e0))
| e1 != op(e0,op(e0,e1))
| e2 != op(e0,op(e0,e2))
| e3 != op(e0,op(e0,e3))
| e4 != op(e0,op(e0,e4))
| e0 != op(e1,op(e1,e0))
| e1 != op(e1,op(e1,e1))
| e2 != op(e1,op(e1,e2))
| e3 != op(e1,op(e1,e3))
| e4 != op(e1,op(e1,e4))
| e0 != op(e2,op(e2,e0))
| e1 != op(e2,op(e2,e1))
| e2 != op(e2,op(e2,e2))
| e3 != op(e2,op(e2,e3))
| e4 != op(e2,op(e2,e4))
| e0 != op(e3,op(e3,e0))
| e1 != op(e3,op(e3,e1))
| e2 != op(e3,op(e3,e2))
| e3 != op(e3,op(e3,e3))
| e4 != op(e3,op(e3,e4))
| e0 != op(e4,op(e4,e0))
| e1 != op(e4,op(e4,e1))
| e2 != op(e4,op(e4,e2))
| e3 != op(e4,op(e4,e3))
| e4 != op(e4,op(e4,e4))
| ( e0 != op(e0,e0)
& e1 != op(e0,e0)
& e2 != op(e0,e0)
& e3 != op(e0,e0)
& e4 != op(e0,e0) )
| sP73
| sP72
| sP71
| sP70
| sP69
| sP68
| sP67
| sP66
| sP65
| sP64
| sP63
| sP62
| sP61
| sP60
| sP59
| sP58
| sP57
| sP56
| sP55
| sP54
| sP53
| sP52
| sP51
| sP50
| sP49
| sP48
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0
| e0 != op(op(e0,e0),op(e0,e0))
| e0 != op(op(e1,e0),op(e0,e1))
| e0 != op(op(e2,e0),op(e0,e2))
| e0 != op(op(e3,e0),op(e0,e3))
| e0 != op(op(e4,e0),op(e0,e4))
| e1 != op(op(e0,e1),op(e1,e0))
| e1 != op(op(e1,e1),op(e1,e1))
| e1 != op(op(e2,e1),op(e1,e2))
| e1 != op(op(e3,e1),op(e1,e3))
| e1 != op(op(e4,e1),op(e1,e4))
| e2 != op(op(e0,e2),op(e2,e0))
| e2 != op(op(e1,e2),op(e2,e1))
| e2 != op(op(e2,e2),op(e2,e2))
| e2 != op(op(e3,e2),op(e2,e3))
| e2 != op(op(e4,e2),op(e2,e4))
| e3 != op(op(e0,e3),op(e3,e0))
| e3 != op(op(e1,e3),op(e3,e1))
| e3 != op(op(e2,e3),op(e3,e2))
| e3 != op(op(e3,e3),op(e3,e3))
| e3 != op(op(e4,e3),op(e3,e4))
| e4 != op(op(e0,e4),op(e4,e0))
| e4 != op(op(e1,e4),op(e4,e1))
| e4 != op(op(e2,e4),op(e4,e2))
| e4 != op(op(e3,e4),op(e4,e3))
| e4 != op(op(e4,e4),op(e4,e4)) ),
inference(definition_folding,[],[f5,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,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9,f8,f7,f6]) ).
fof(f81,plain,
( ( e0 != op(e0,e1)
& e1 != op(e0,e1)
& e2 != op(e0,e1)
& e3 != op(e0,e1)
& e4 != op(e0,e1) )
| ~ sP73 ),
inference(nnf_transformation,[],[f79]) ).
fof(f82,plain,
( ( e0 != op(e0,e2)
& e1 != op(e0,e2)
& e2 != op(e0,e2)
& e3 != op(e0,e2)
& e4 != op(e0,e2) )
| ~ sP72 ),
inference(nnf_transformation,[],[f78]) ).
fof(f83,plain,
( ( e0 != op(e0,e3)
& e1 != op(e0,e3)
& e2 != op(e0,e3)
& e3 != op(e0,e3)
& e4 != op(e0,e3) )
| ~ sP71 ),
inference(nnf_transformation,[],[f77]) ).
fof(f84,plain,
( ( e0 != op(e0,e4)
& e1 != op(e0,e4)
& e2 != op(e0,e4)
& e3 != op(e0,e4)
& e4 != op(e0,e4) )
| ~ sP70 ),
inference(nnf_transformation,[],[f76]) ).
fof(f85,plain,
( ( e0 != op(e1,e0)
& e1 != op(e1,e0)
& e2 != op(e1,e0)
& e3 != op(e1,e0)
& e4 != op(e1,e0) )
| ~ sP69 ),
inference(nnf_transformation,[],[f75]) ).
fof(f86,plain,
( ( e0 != op(e1,e1)
& e1 != op(e1,e1)
& e2 != op(e1,e1)
& e3 != op(e1,e1)
& e4 != op(e1,e1) )
| ~ sP68 ),
inference(nnf_transformation,[],[f74]) ).
fof(f87,plain,
( ( e0 != op(e1,e2)
& e1 != op(e1,e2)
& e2 != op(e1,e2)
& e3 != op(e1,e2)
& e4 != op(e1,e2) )
| ~ sP67 ),
inference(nnf_transformation,[],[f73]) ).
fof(f88,plain,
( ( e0 != op(e1,e3)
& e1 != op(e1,e3)
& e2 != op(e1,e3)
& e3 != op(e1,e3)
& e4 != op(e1,e3) )
| ~ sP66 ),
inference(nnf_transformation,[],[f72]) ).
fof(f89,plain,
( ( e0 != op(e1,e4)
& e1 != op(e1,e4)
& e2 != op(e1,e4)
& e3 != op(e1,e4)
& e4 != op(e1,e4) )
| ~ sP65 ),
inference(nnf_transformation,[],[f71]) ).
fof(f90,plain,
( ( e0 != op(e2,e0)
& e1 != op(e2,e0)
& e2 != op(e2,e0)
& e3 != op(e2,e0)
& e4 != op(e2,e0) )
| ~ sP64 ),
inference(nnf_transformation,[],[f70]) ).
fof(f91,plain,
( ( e0 != op(e2,e1)
& e1 != op(e2,e1)
& e2 != op(e2,e1)
& e3 != op(e2,e1)
& e4 != op(e2,e1) )
| ~ sP63 ),
inference(nnf_transformation,[],[f69]) ).
fof(f92,plain,
( ( e0 != op(e2,e2)
& e1 != op(e2,e2)
& e2 != op(e2,e2)
& e3 != op(e2,e2)
& e4 != op(e2,e2) )
| ~ sP62 ),
inference(nnf_transformation,[],[f68]) ).
fof(f93,plain,
( ( e0 != op(e2,e3)
& e1 != op(e2,e3)
& e2 != op(e2,e3)
& e3 != op(e2,e3)
& e4 != op(e2,e3) )
| ~ sP61 ),
inference(nnf_transformation,[],[f67]) ).
fof(f94,plain,
( ( e0 != op(e2,e4)
& e1 != op(e2,e4)
& e2 != op(e2,e4)
& e3 != op(e2,e4)
& e4 != op(e2,e4) )
| ~ sP60 ),
inference(nnf_transformation,[],[f66]) ).
fof(f95,plain,
( ( e0 != op(e3,e0)
& e1 != op(e3,e0)
& e2 != op(e3,e0)
& e3 != op(e3,e0)
& e4 != op(e3,e0) )
| ~ sP59 ),
inference(nnf_transformation,[],[f65]) ).
fof(f96,plain,
( ( e0 != op(e3,e1)
& e1 != op(e3,e1)
& e2 != op(e3,e1)
& e3 != op(e3,e1)
& e4 != op(e3,e1) )
| ~ sP58 ),
inference(nnf_transformation,[],[f64]) ).
fof(f97,plain,
( ( e0 != op(e3,e2)
& e1 != op(e3,e2)
& e2 != op(e3,e2)
& e3 != op(e3,e2)
& e4 != op(e3,e2) )
| ~ sP57 ),
inference(nnf_transformation,[],[f63]) ).
fof(f98,plain,
( ( e0 != op(e3,e3)
& e1 != op(e3,e3)
& e2 != op(e3,e3)
& e3 != op(e3,e3)
& e4 != op(e3,e3) )
| ~ sP56 ),
inference(nnf_transformation,[],[f62]) ).
fof(f99,plain,
( ( e0 != op(e3,e4)
& e1 != op(e3,e4)
& e2 != op(e3,e4)
& e3 != op(e3,e4)
& e4 != op(e3,e4) )
| ~ sP55 ),
inference(nnf_transformation,[],[f61]) ).
fof(f100,plain,
( ( e0 != op(e4,e0)
& e1 != op(e4,e0)
& e2 != op(e4,e0)
& e3 != op(e4,e0)
& e4 != op(e4,e0) )
| ~ sP54 ),
inference(nnf_transformation,[],[f60]) ).
fof(f101,plain,
( ( e0 != op(e4,e1)
& e1 != op(e4,e1)
& e2 != op(e4,e1)
& e3 != op(e4,e1)
& e4 != op(e4,e1) )
| ~ sP53 ),
inference(nnf_transformation,[],[f59]) ).
fof(f102,plain,
( ( e0 != op(e4,e2)
& e1 != op(e4,e2)
& e2 != op(e4,e2)
& e3 != op(e4,e2)
& e4 != op(e4,e2) )
| ~ sP52 ),
inference(nnf_transformation,[],[f58]) ).
fof(f103,plain,
( ( e0 != op(e4,e3)
& e1 != op(e4,e3)
& e2 != op(e4,e3)
& e3 != op(e4,e3)
& e4 != op(e4,e3) )
| ~ sP51 ),
inference(nnf_transformation,[],[f57]) ).
fof(f104,plain,
( ( e0 != op(e4,e4)
& e1 != op(e4,e4)
& e2 != op(e4,e4)
& e3 != op(e4,e4)
& e4 != op(e4,e4) )
| ~ sP50 ),
inference(nnf_transformation,[],[f56]) ).
fof(f105,plain,
( ( e0 != op(e0,e0)
& e0 != op(e0,e1)
& e0 != op(e0,e2)
& e0 != op(e0,e3)
& e0 != op(e0,e4) )
| ~ sP49 ),
inference(nnf_transformation,[],[f55]) ).
fof(f106,plain,
( ( e0 != op(e0,e0)
& e0 != op(e1,e0)
& e0 != op(e2,e0)
& e0 != op(e3,e0)
& e0 != op(e4,e0) )
| ~ sP48 ),
inference(nnf_transformation,[],[f54]) ).
fof(f107,plain,
( ( e1 != op(e0,e0)
& e1 != op(e0,e1)
& e1 != op(e0,e2)
& e1 != op(e0,e3)
& e1 != op(e0,e4) )
| ~ sP47 ),
inference(nnf_transformation,[],[f53]) ).
fof(f108,plain,
( ( e1 != op(e0,e0)
& e1 != op(e1,e0)
& e1 != op(e2,e0)
& e1 != op(e3,e0)
& e1 != op(e4,e0) )
| ~ sP46 ),
inference(nnf_transformation,[],[f52]) ).
fof(f109,plain,
( ( e2 != op(e0,e0)
& e2 != op(e0,e1)
& e2 != op(e0,e2)
& e2 != op(e0,e3)
& e2 != op(e0,e4) )
| ~ sP45 ),
inference(nnf_transformation,[],[f51]) ).
fof(f110,plain,
( ( e2 != op(e0,e0)
& e2 != op(e1,e0)
& e2 != op(e2,e0)
& e2 != op(e3,e0)
& e2 != op(e4,e0) )
| ~ sP44 ),
inference(nnf_transformation,[],[f50]) ).
fof(f111,plain,
( ( e3 != op(e0,e0)
& e3 != op(e0,e1)
& e3 != op(e0,e2)
& e3 != op(e0,e3)
& e3 != op(e0,e4) )
| ~ sP43 ),
inference(nnf_transformation,[],[f49]) ).
fof(f112,plain,
( ( e3 != op(e0,e0)
& e3 != op(e1,e0)
& e3 != op(e2,e0)
& e3 != op(e3,e0)
& e3 != op(e4,e0) )
| ~ sP42 ),
inference(nnf_transformation,[],[f48]) ).
fof(f113,plain,
( ( e4 != op(e0,e0)
& e4 != op(e0,e1)
& e4 != op(e0,e2)
& e4 != op(e0,e3)
& e4 != op(e0,e4) )
| ~ sP41 ),
inference(nnf_transformation,[],[f47]) ).
fof(f114,plain,
( ( e4 != op(e0,e0)
& e4 != op(e1,e0)
& e4 != op(e2,e0)
& e4 != op(e3,e0)
& e4 != op(e4,e0) )
| ~ sP40 ),
inference(nnf_transformation,[],[f46]) ).
fof(f115,plain,
( ( e0 != op(e1,e0)
& e0 != op(e1,e1)
& e0 != op(e1,e2)
& e0 != op(e1,e3)
& e0 != op(e1,e4) )
| ~ sP39 ),
inference(nnf_transformation,[],[f45]) ).
fof(f116,plain,
( ( e0 != op(e0,e1)
& e0 != op(e1,e1)
& e0 != op(e2,e1)
& e0 != op(e3,e1)
& e0 != op(e4,e1) )
| ~ sP38 ),
inference(nnf_transformation,[],[f44]) ).
fof(f117,plain,
( ( e1 != op(e1,e0)
& e1 != op(e1,e1)
& e1 != op(e1,e2)
& e1 != op(e1,e3)
& e1 != op(e1,e4) )
| ~ sP37 ),
inference(nnf_transformation,[],[f43]) ).
fof(f118,plain,
( ( e1 != op(e0,e1)
& e1 != op(e1,e1)
& e1 != op(e2,e1)
& e1 != op(e3,e1)
& e1 != op(e4,e1) )
| ~ sP36 ),
inference(nnf_transformation,[],[f42]) ).
fof(f119,plain,
( ( e2 != op(e1,e0)
& e2 != op(e1,e1)
& e2 != op(e1,e2)
& e2 != op(e1,e3)
& e2 != op(e1,e4) )
| ~ sP35 ),
inference(nnf_transformation,[],[f41]) ).
fof(f120,plain,
( ( e2 != op(e0,e1)
& e2 != op(e1,e1)
& e2 != op(e2,e1)
& e2 != op(e3,e1)
& e2 != op(e4,e1) )
| ~ sP34 ),
inference(nnf_transformation,[],[f40]) ).
fof(f121,plain,
( ( e3 != op(e1,e0)
& e3 != op(e1,e1)
& e3 != op(e1,e2)
& e3 != op(e1,e3)
& e3 != op(e1,e4) )
| ~ sP33 ),
inference(nnf_transformation,[],[f39]) ).
fof(f122,plain,
( ( e3 != op(e0,e1)
& e3 != op(e1,e1)
& e3 != op(e2,e1)
& e3 != op(e3,e1)
& e3 != op(e4,e1) )
| ~ sP32 ),
inference(nnf_transformation,[],[f38]) ).
fof(f123,plain,
( ( e4 != op(e1,e0)
& e4 != op(e1,e1)
& e4 != op(e1,e2)
& e4 != op(e1,e3)
& e4 != op(e1,e4) )
| ~ sP31 ),
inference(nnf_transformation,[],[f37]) ).
fof(f124,plain,
( ( e4 != op(e0,e1)
& e4 != op(e1,e1)
& e4 != op(e2,e1)
& e4 != op(e3,e1)
& e4 != op(e4,e1) )
| ~ sP30 ),
inference(nnf_transformation,[],[f36]) ).
fof(f125,plain,
( ( e0 != op(e2,e0)
& e0 != op(e2,e1)
& e0 != op(e2,e2)
& e0 != op(e2,e3)
& e0 != op(e2,e4) )
| ~ sP29 ),
inference(nnf_transformation,[],[f35]) ).
fof(f126,plain,
( ( e0 != op(e0,e2)
& e0 != op(e1,e2)
& e0 != op(e2,e2)
& e0 != op(e3,e2)
& e0 != op(e4,e2) )
| ~ sP28 ),
inference(nnf_transformation,[],[f34]) ).
fof(f127,plain,
( ( e1 != op(e2,e0)
& e1 != op(e2,e1)
& e1 != op(e2,e2)
& e1 != op(e2,e3)
& e1 != op(e2,e4) )
| ~ sP27 ),
inference(nnf_transformation,[],[f33]) ).
fof(f128,plain,
( ( e1 != op(e0,e2)
& e1 != op(e1,e2)
& e1 != op(e2,e2)
& e1 != op(e3,e2)
& e1 != op(e4,e2) )
| ~ sP26 ),
inference(nnf_transformation,[],[f32]) ).
fof(f129,plain,
( ( e2 != op(e2,e0)
& e2 != op(e2,e1)
& e2 != op(e2,e2)
& e2 != op(e2,e3)
& e2 != op(e2,e4) )
| ~ sP25 ),
inference(nnf_transformation,[],[f31]) ).
fof(f130,plain,
( ( e2 != op(e0,e2)
& e2 != op(e1,e2)
& e2 != op(e2,e2)
& e2 != op(e3,e2)
& e2 != op(e4,e2) )
| ~ sP24 ),
inference(nnf_transformation,[],[f30]) ).
fof(f131,plain,
( ( e3 != op(e2,e0)
& e3 != op(e2,e1)
& e3 != op(e2,e2)
& e3 != op(e2,e3)
& e3 != op(e2,e4) )
| ~ sP23 ),
inference(nnf_transformation,[],[f29]) ).
fof(f132,plain,
( ( e3 != op(e0,e2)
& e3 != op(e1,e2)
& e3 != op(e2,e2)
& e3 != op(e3,e2)
& e3 != op(e4,e2) )
| ~ sP22 ),
inference(nnf_transformation,[],[f28]) ).
fof(f133,plain,
( ( e4 != op(e2,e0)
& e4 != op(e2,e1)
& e4 != op(e2,e2)
& e4 != op(e2,e3)
& e4 != op(e2,e4) )
| ~ sP21 ),
inference(nnf_transformation,[],[f27]) ).
fof(f134,plain,
( ( e4 != op(e0,e2)
& e4 != op(e1,e2)
& e4 != op(e2,e2)
& e4 != op(e3,e2)
& e4 != op(e4,e2) )
| ~ sP20 ),
inference(nnf_transformation,[],[f26]) ).
fof(f135,plain,
( ( e0 != op(e3,e0)
& e0 != op(e3,e1)
& e0 != op(e3,e2)
& e0 != op(e3,e3)
& e0 != op(e3,e4) )
| ~ sP19 ),
inference(nnf_transformation,[],[f25]) ).
fof(f136,plain,
( ( e0 != op(e0,e3)
& e0 != op(e1,e3)
& e0 != op(e2,e3)
& e0 != op(e3,e3)
& e0 != op(e4,e3) )
| ~ sP18 ),
inference(nnf_transformation,[],[f24]) ).
fof(f137,plain,
( ( e1 != op(e3,e0)
& e1 != op(e3,e1)
& e1 != op(e3,e2)
& e1 != op(e3,e3)
& e1 != op(e3,e4) )
| ~ sP17 ),
inference(nnf_transformation,[],[f23]) ).
fof(f138,plain,
( ( e1 != op(e0,e3)
& e1 != op(e1,e3)
& e1 != op(e2,e3)
& e1 != op(e3,e3)
& e1 != op(e4,e3) )
| ~ sP16 ),
inference(nnf_transformation,[],[f22]) ).
fof(f139,plain,
( ( e2 != op(e3,e0)
& e2 != op(e3,e1)
& e2 != op(e3,e2)
& e2 != op(e3,e3)
& e2 != op(e3,e4) )
| ~ sP15 ),
inference(nnf_transformation,[],[f21]) ).
fof(f140,plain,
( ( e2 != op(e0,e3)
& e2 != op(e1,e3)
& e2 != op(e2,e3)
& e2 != op(e3,e3)
& e2 != op(e4,e3) )
| ~ sP14 ),
inference(nnf_transformation,[],[f20]) ).
fof(f141,plain,
( ( e3 != op(e3,e0)
& e3 != op(e3,e1)
& e3 != op(e3,e2)
& e3 != op(e3,e3)
& e3 != op(e3,e4) )
| ~ sP13 ),
inference(nnf_transformation,[],[f19]) ).
fof(f142,plain,
( ( e3 != op(e0,e3)
& e3 != op(e1,e3)
& e3 != op(e2,e3)
& e3 != op(e3,e3)
& e3 != op(e4,e3) )
| ~ sP12 ),
inference(nnf_transformation,[],[f18]) ).
fof(f143,plain,
( ( e4 != op(e3,e0)
& e4 != op(e3,e1)
& e4 != op(e3,e2)
& e4 != op(e3,e3)
& e4 != op(e3,e4) )
| ~ sP11 ),
inference(nnf_transformation,[],[f17]) ).
fof(f144,plain,
( ( e4 != op(e0,e3)
& e4 != op(e1,e3)
& e4 != op(e2,e3)
& e4 != op(e3,e3)
& e4 != op(e4,e3) )
| ~ sP10 ),
inference(nnf_transformation,[],[f16]) ).
fof(f145,plain,
( ( e0 != op(e4,e0)
& e0 != op(e4,e1)
& e0 != op(e4,e2)
& e0 != op(e4,e3)
& e0 != op(e4,e4) )
| ~ sP9 ),
inference(nnf_transformation,[],[f15]) ).
fof(f146,plain,
( ( e0 != op(e0,e4)
& e0 != op(e1,e4)
& e0 != op(e2,e4)
& e0 != op(e3,e4)
& e0 != op(e4,e4) )
| ~ sP8 ),
inference(nnf_transformation,[],[f14]) ).
fof(f147,plain,
( ( e1 != op(e4,e0)
& e1 != op(e4,e1)
& e1 != op(e4,e2)
& e1 != op(e4,e3)
& e1 != op(e4,e4) )
| ~ sP7 ),
inference(nnf_transformation,[],[f13]) ).
fof(f148,plain,
( ( e1 != op(e0,e4)
& e1 != op(e1,e4)
& e1 != op(e2,e4)
& e1 != op(e3,e4)
& e1 != op(e4,e4) )
| ~ sP6 ),
inference(nnf_transformation,[],[f12]) ).
fof(f149,plain,
( ( e2 != op(e4,e0)
& e2 != op(e4,e1)
& e2 != op(e4,e2)
& e2 != op(e4,e3)
& e2 != op(e4,e4) )
| ~ sP5 ),
inference(nnf_transformation,[],[f11]) ).
fof(f150,plain,
( ( e2 != op(e0,e4)
& e2 != op(e1,e4)
& e2 != op(e2,e4)
& e2 != op(e3,e4)
& e2 != op(e4,e4) )
| ~ sP4 ),
inference(nnf_transformation,[],[f10]) ).
fof(f151,plain,
( ( e3 != op(e4,e0)
& e3 != op(e4,e1)
& e3 != op(e4,e2)
& e3 != op(e4,e3)
& e3 != op(e4,e4) )
| ~ sP3 ),
inference(nnf_transformation,[],[f9]) ).
fof(f152,plain,
( ( e3 != op(e0,e4)
& e3 != op(e1,e4)
& e3 != op(e2,e4)
& e3 != op(e3,e4)
& e3 != op(e4,e4) )
| ~ sP2 ),
inference(nnf_transformation,[],[f8]) ).
fof(f153,plain,
( ( e4 != op(e4,e0)
& e4 != op(e4,e1)
& e4 != op(e4,e2)
& e4 != op(e4,e3)
& e4 != op(e4,e4) )
| ~ sP1 ),
inference(nnf_transformation,[],[f7]) ).
fof(f154,plain,
( ( e4 != op(e0,e4)
& e4 != op(e1,e4)
& e4 != op(e2,e4)
& e4 != op(e3,e4)
& e4 != op(e4,e4) )
| ~ sP0 ),
inference(nnf_transformation,[],[f6]) ).
fof(f165,plain,
e4 = op(e4,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f166,plain,
e0 = op(e4,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f167,plain,
e1 = op(e4,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f168,plain,
e2 = op(e4,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f169,plain,
e3 = op(e4,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f170,plain,
e1 = op(e3,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f171,plain,
e3 = op(e3,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f172,plain,
e0 = op(e3,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f173,plain,
e4 = op(e3,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f174,plain,
e2 = op(e3,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f175,plain,
e3 = op(e2,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f176,plain,
e4 = op(e2,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f177,plain,
e2 = op(e2,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f178,plain,
e0 = op(e2,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f179,plain,
e1 = op(e2,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f180,plain,
e0 = op(e1,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f181,plain,
e2 = op(e1,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f182,plain,
e3 = op(e1,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f183,plain,
e1 = op(e1,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f184,plain,
e4 = op(e1,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f185,plain,
e2 = op(e0,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f186,plain,
e1 = op(e0,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f187,plain,
e4 = op(e0,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f188,plain,
e3 = op(e0,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f189,plain,
e0 = op(e0,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f191,plain,
( e3 != op(e0,e1)
| ~ sP73 ),
inference(cnf_transformation,[],[f81]) ).
fof(f195,plain,
( e4 != op(e0,e2)
| ~ sP72 ),
inference(cnf_transformation,[],[f82]) ).
fof(f203,plain,
( e1 != op(e0,e3)
| ~ sP71 ),
inference(cnf_transformation,[],[f83]) ).
fof(f207,plain,
( e2 != op(e0,e4)
| ~ sP70 ),
inference(cnf_transformation,[],[f84]) ).
fof(f210,plain,
( e4 != op(e1,e0)
| ~ sP69 ),
inference(cnf_transformation,[],[f85]) ).
fof(f218,plain,
( e1 != op(e1,e1)
| ~ sP68 ),
inference(cnf_transformation,[],[f86]) ).
fof(f221,plain,
( e3 != op(e1,e2)
| ~ sP67 ),
inference(cnf_transformation,[],[f87]) ).
fof(f227,plain,
( e2 != op(e1,e3)
| ~ sP66 ),
inference(cnf_transformation,[],[f88]) ).
fof(f234,plain,
( e0 != op(e1,e4)
| ~ sP65 ),
inference(cnf_transformation,[],[f89]) ).
fof(f238,plain,
( e1 != op(e2,e0)
| ~ sP64 ),
inference(cnf_transformation,[],[f90]) ).
fof(f244,plain,
( e0 != op(e2,e1)
| ~ sP63 ),
inference(cnf_transformation,[],[f91]) ).
fof(f247,plain,
( e2 != op(e2,e2)
| ~ sP62 ),
inference(cnf_transformation,[],[f92]) ).
fof(f250,plain,
( e4 != op(e2,e3)
| ~ sP61 ),
inference(cnf_transformation,[],[f93]) ).
fof(f256,plain,
( e3 != op(e2,e4)
| ~ sP60 ),
inference(cnf_transformation,[],[f94]) ).
fof(f262,plain,
( e2 != op(e3,e0)
| ~ sP59 ),
inference(cnf_transformation,[],[f95]) ).
fof(f265,plain,
( e4 != op(e3,e1)
| ~ sP58 ),
inference(cnf_transformation,[],[f96]) ).
fof(f274,plain,
( e0 != op(e3,e2)
| ~ sP57 ),
inference(cnf_transformation,[],[f97]) ).
fof(f276,plain,
( e3 != op(e3,e3)
| ~ sP56 ),
inference(cnf_transformation,[],[f98]) ).
fof(f283,plain,
( e1 != op(e3,e4)
| ~ sP55 ),
inference(cnf_transformation,[],[f99]) ).
fof(f286,plain,
( e3 != op(e4,e0)
| ~ sP54 ),
inference(cnf_transformation,[],[f100]) ).
fof(f292,plain,
( e2 != op(e4,e1)
| ~ sP53 ),
inference(cnf_transformation,[],[f101]) ).
fof(f298,plain,
( e1 != op(e4,e2)
| ~ sP52 ),
inference(cnf_transformation,[],[f102]) ).
fof(f304,plain,
( e0 != op(e4,e3)
| ~ sP51 ),
inference(cnf_transformation,[],[f103]) ).
fof(f305,plain,
( e4 != op(e4,e4)
| ~ sP50 ),
inference(cnf_transformation,[],[f104]) ).
fof(f314,plain,
( e0 != op(e0,e0)
| ~ sP49 ),
inference(cnf_transformation,[],[f105]) ).
fof(f319,plain,
( e0 != op(e0,e0)
| ~ sP48 ),
inference(cnf_transformation,[],[f106]) ).
fof(f321,plain,
( e1 != op(e0,e3)
| ~ sP47 ),
inference(cnf_transformation,[],[f107]) ).
fof(f327,plain,
( e1 != op(e2,e0)
| ~ sP46 ),
inference(cnf_transformation,[],[f108]) ).
fof(f330,plain,
( e2 != op(e0,e4)
| ~ sP45 ),
inference(cnf_transformation,[],[f109]) ).
fof(f336,plain,
( e2 != op(e3,e0)
| ~ sP44 ),
inference(cnf_transformation,[],[f110]) ).
fof(f343,plain,
( e3 != op(e0,e1)
| ~ sP43 ),
inference(cnf_transformation,[],[f111]) ).
fof(f345,plain,
( e3 != op(e4,e0)
| ~ sP42 ),
inference(cnf_transformation,[],[f112]) ).
fof(f352,plain,
( e4 != op(e0,e2)
| ~ sP41 ),
inference(cnf_transformation,[],[f113]) ).
fof(f358,plain,
( e4 != op(e1,e0)
| ~ sP40 ),
inference(cnf_transformation,[],[f114]) ).
fof(f360,plain,
( e0 != op(e1,e4)
| ~ sP39 ),
inference(cnf_transformation,[],[f115]) ).
fof(f367,plain,
( e0 != op(e2,e1)
| ~ sP38 ),
inference(cnf_transformation,[],[f116]) ).
fof(f373,plain,
( e1 != op(e1,e1)
| ~ sP37 ),
inference(cnf_transformation,[],[f117]) ).
fof(f378,plain,
( e1 != op(e1,e1)
| ~ sP36 ),
inference(cnf_transformation,[],[f118]) ).
fof(f381,plain,
( e2 != op(e1,e3)
| ~ sP35 ),
inference(cnf_transformation,[],[f119]) ).
fof(f385,plain,
( e2 != op(e4,e1)
| ~ sP34 ),
inference(cnf_transformation,[],[f120]) ).
fof(f392,plain,
( e3 != op(e1,e2)
| ~ sP33 ),
inference(cnf_transformation,[],[f121]) ).
fof(f399,plain,
( e3 != op(e0,e1)
| ~ sP32 ),
inference(cnf_transformation,[],[f122]) ).
fof(f404,plain,
( e4 != op(e1,e0)
| ~ sP31 ),
inference(cnf_transformation,[],[f123]) ).
fof(f406,plain,
( e4 != op(e3,e1)
| ~ sP30 ),
inference(cnf_transformation,[],[f124]) ).
fof(f413,plain,
( e0 != op(e2,e1)
| ~ sP29 ),
inference(cnf_transformation,[],[f125]) ).
fof(f416,plain,
( e0 != op(e3,e2)
| ~ sP28 ),
inference(cnf_transformation,[],[f126]) ).
fof(f424,plain,
( e1 != op(e2,e0)
| ~ sP27 ),
inference(cnf_transformation,[],[f127]) ).
fof(f425,plain,
( e1 != op(e4,e2)
| ~ sP26 ),
inference(cnf_transformation,[],[f128]) ).
fof(f432,plain,
( e2 != op(e2,e2)
| ~ sP25 ),
inference(cnf_transformation,[],[f129]) ).
fof(f437,plain,
( e2 != op(e2,e2)
| ~ sP24 ),
inference(cnf_transformation,[],[f130]) ).
fof(f440,plain,
( e3 != op(e2,e4)
| ~ sP23 ),
inference(cnf_transformation,[],[f131]) ).
fof(f448,plain,
( e3 != op(e1,e2)
| ~ sP22 ),
inference(cnf_transformation,[],[f132]) ).
fof(f451,plain,
( e4 != op(e2,e3)
| ~ sP21 ),
inference(cnf_transformation,[],[f133]) ).
fof(f459,plain,
( e4 != op(e0,e2)
| ~ sP20 ),
inference(cnf_transformation,[],[f134]) ).
fof(f462,plain,
( e0 != op(e3,e2)
| ~ sP19 ),
inference(cnf_transformation,[],[f135]) ).
fof(f465,plain,
( e0 != op(e4,e3)
| ~ sP18 ),
inference(cnf_transformation,[],[f136]) ).
fof(f470,plain,
( e1 != op(e3,e4)
| ~ sP17 ),
inference(cnf_transformation,[],[f137]) ).
fof(f479,plain,
( e1 != op(e0,e3)
| ~ sP16 ),
inference(cnf_transformation,[],[f138]) ).
fof(f484,plain,
( e2 != op(e3,e0)
| ~ sP15 ),
inference(cnf_transformation,[],[f139]) ).
fof(f488,plain,
( e2 != op(e1,e3)
| ~ sP14 ),
inference(cnf_transformation,[],[f140]) ).
fof(f491,plain,
( e3 != op(e3,e3)
| ~ sP13 ),
inference(cnf_transformation,[],[f141]) ).
fof(f496,plain,
( e3 != op(e3,e3)
| ~ sP12 ),
inference(cnf_transformation,[],[f142]) ).
fof(f503,plain,
( e4 != op(e3,e1)
| ~ sP11 ),
inference(cnf_transformation,[],[f143]) ).
fof(f507,plain,
( e4 != op(e2,e3)
| ~ sP10 ),
inference(cnf_transformation,[],[f144]) ).
fof(f511,plain,
( e0 != op(e4,e3)
| ~ sP9 ),
inference(cnf_transformation,[],[f145]) ).
fof(f518,plain,
( e0 != op(e1,e4)
| ~ sP8 ),
inference(cnf_transformation,[],[f146]) ).
fof(f522,plain,
( e1 != op(e4,e2)
| ~ sP7 ),
inference(cnf_transformation,[],[f147]) ).
fof(f526,plain,
( e1 != op(e3,e4)
| ~ sP6 ),
inference(cnf_transformation,[],[f148]) ).
fof(f533,plain,
( e2 != op(e4,e1)
| ~ sP5 ),
inference(cnf_transformation,[],[f149]) ).
fof(f539,plain,
( e2 != op(e0,e4)
| ~ sP4 ),
inference(cnf_transformation,[],[f150]) ).
fof(f544,plain,
( e3 != op(e4,e0)
| ~ sP3 ),
inference(cnf_transformation,[],[f151]) ).
fof(f547,plain,
( e3 != op(e2,e4)
| ~ sP2 ),
inference(cnf_transformation,[],[f152]) ).
fof(f550,plain,
( e4 != op(e4,e4)
| ~ sP1 ),
inference(cnf_transformation,[],[f153]) ).
fof(f555,plain,
( e4 != op(e4,e4)
| ~ sP0 ),
inference(cnf_transformation,[],[f154]) ).
fof(f564,plain,
( e0 != op(e0,op(e0,e0))
| e1 != op(e0,op(e0,e1))
| e2 != op(e0,op(e0,e2))
| e3 != op(e0,op(e0,e3))
| e4 != op(e0,op(e0,e4))
| e0 != op(e1,op(e1,e0))
| e1 != op(e1,op(e1,e1))
| e2 != op(e1,op(e1,e2))
| e3 != op(e1,op(e1,e3))
| e4 != op(e1,op(e1,e4))
| e0 != op(e2,op(e2,e0))
| e1 != op(e2,op(e2,e1))
| e2 != op(e2,op(e2,e2))
| e3 != op(e2,op(e2,e3))
| e4 != op(e2,op(e2,e4))
| e0 != op(e3,op(e3,e0))
| e1 != op(e3,op(e3,e1))
| e2 != op(e3,op(e3,e2))
| e3 != op(e3,op(e3,e3))
| e4 != op(e3,op(e3,e4))
| e0 != op(e4,op(e4,e0))
| e1 != op(e4,op(e4,e1))
| e2 != op(e4,op(e4,e2))
| e3 != op(e4,op(e4,e3))
| e4 != op(e4,op(e4,e4))
| e0 != op(e0,e0)
| sP73
| sP72
| sP71
| sP70
| sP69
| sP68
| sP67
| sP66
| sP65
| sP64
| sP63
| sP62
| sP61
| sP60
| sP59
| sP58
| sP57
| sP56
| sP55
| sP54
| sP53
| sP52
| sP51
| sP50
| sP49
| sP48
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0
| e0 != op(op(e0,e0),op(e0,e0))
| e0 != op(op(e1,e0),op(e0,e1))
| e0 != op(op(e2,e0),op(e0,e2))
| e0 != op(op(e3,e0),op(e0,e3))
| e0 != op(op(e4,e0),op(e0,e4))
| e1 != op(op(e0,e1),op(e1,e0))
| e1 != op(op(e1,e1),op(e1,e1))
| e1 != op(op(e2,e1),op(e1,e2))
| e1 != op(op(e3,e1),op(e1,e3))
| e1 != op(op(e4,e1),op(e1,e4))
| e2 != op(op(e0,e2),op(e2,e0))
| e2 != op(op(e1,e2),op(e2,e1))
| e2 != op(op(e2,e2),op(e2,e2))
| e2 != op(op(e3,e2),op(e2,e3))
| e2 != op(op(e4,e2),op(e2,e4))
| e3 != op(op(e0,e3),op(e3,e0))
| e3 != op(op(e1,e3),op(e3,e1))
| e3 != op(op(e2,e3),op(e3,e2))
| e3 != op(op(e3,e3),op(e3,e3))
| e3 != op(op(e4,e3),op(e3,e4))
| e4 != op(op(e0,e4),op(e4,e0))
| e4 != op(op(e1,e4),op(e4,e1))
| e4 != op(op(e2,e4),op(e4,e2))
| e4 != op(op(e3,e4),op(e4,e3))
| e4 != op(op(e4,e4),op(e4,e4)) ),
inference(cnf_transformation,[],[f80]) ).
fof(f566,definition,
( spl74_1
<=> e4 = op(op(e4,e4),op(e4,e4)) ),
introduced(definition,[new_symbols(definition,[spl74_1])],[avatar_definition]) ).
fof(f568,plain,
( e4 != op(op(e4,e4),op(e4,e4))
| spl74_1 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f570,definition,
( spl74_2
<=> e4 = op(op(e3,e4),op(e4,e3)) ),
introduced(definition,[new_symbols(definition,[spl74_2])],[avatar_definition]) ).
fof(f572,plain,
( e4 != op(op(e3,e4),op(e4,e3))
| spl74_2 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f574,definition,
( spl74_3
<=> e4 = op(op(e2,e4),op(e4,e2)) ),
introduced(definition,[new_symbols(definition,[spl74_3])],[avatar_definition]) ).
fof(f576,plain,
( e4 != op(op(e2,e4),op(e4,e2))
| spl74_3 ),
inference(avatar_component_clause,[],[f574]) ).
fof(f578,definition,
( spl74_4
<=> e4 = op(op(e1,e4),op(e4,e1)) ),
introduced(definition,[new_symbols(definition,[spl74_4])],[avatar_definition]) ).
fof(f580,plain,
( e4 != op(op(e1,e4),op(e4,e1))
| spl74_4 ),
inference(avatar_component_clause,[],[f578]) ).
fof(f582,definition,
( spl74_5
<=> e4 = op(op(e0,e4),op(e4,e0)) ),
introduced(definition,[new_symbols(definition,[spl74_5])],[avatar_definition]) ).
fof(f584,plain,
( e4 != op(op(e0,e4),op(e4,e0))
| spl74_5 ),
inference(avatar_component_clause,[],[f582]) ).
fof(f586,definition,
( spl74_6
<=> e3 = op(op(e4,e3),op(e3,e4)) ),
introduced(definition,[new_symbols(definition,[spl74_6])],[avatar_definition]) ).
fof(f588,plain,
( e3 != op(op(e4,e3),op(e3,e4))
| spl74_6 ),
inference(avatar_component_clause,[],[f586]) ).
fof(f590,definition,
( spl74_7
<=> e3 = op(op(e3,e3),op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[spl74_7])],[avatar_definition]) ).
fof(f592,plain,
( e3 != op(op(e3,e3),op(e3,e3))
| spl74_7 ),
inference(avatar_component_clause,[],[f590]) ).
fof(f594,definition,
( spl74_8
<=> e3 = op(op(e2,e3),op(e3,e2)) ),
introduced(definition,[new_symbols(definition,[spl74_8])],[avatar_definition]) ).
fof(f596,plain,
( e3 != op(op(e2,e3),op(e3,e2))
| spl74_8 ),
inference(avatar_component_clause,[],[f594]) ).
fof(f598,definition,
( spl74_9
<=> e3 = op(op(e1,e3),op(e3,e1)) ),
introduced(definition,[new_symbols(definition,[spl74_9])],[avatar_definition]) ).
fof(f600,plain,
( e3 != op(op(e1,e3),op(e3,e1))
| spl74_9 ),
inference(avatar_component_clause,[],[f598]) ).
fof(f602,definition,
( spl74_10
<=> e3 = op(op(e0,e3),op(e3,e0)) ),
introduced(definition,[new_symbols(definition,[spl74_10])],[avatar_definition]) ).
fof(f604,plain,
( e3 != op(op(e0,e3),op(e3,e0))
| spl74_10 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f606,definition,
( spl74_11
<=> e2 = op(op(e4,e2),op(e2,e4)) ),
introduced(definition,[new_symbols(definition,[spl74_11])],[avatar_definition]) ).
fof(f608,plain,
( e2 != op(op(e4,e2),op(e2,e4))
| spl74_11 ),
inference(avatar_component_clause,[],[f606]) ).
fof(f610,definition,
( spl74_12
<=> e2 = op(op(e3,e2),op(e2,e3)) ),
introduced(definition,[new_symbols(definition,[spl74_12])],[avatar_definition]) ).
fof(f612,plain,
( e2 != op(op(e3,e2),op(e2,e3))
| spl74_12 ),
inference(avatar_component_clause,[],[f610]) ).
fof(f614,definition,
( spl74_13
<=> e2 = op(op(e2,e2),op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[spl74_13])],[avatar_definition]) ).
fof(f616,plain,
( e2 != op(op(e2,e2),op(e2,e2))
| spl74_13 ),
inference(avatar_component_clause,[],[f614]) ).
fof(f618,definition,
( spl74_14
<=> e2 = op(op(e1,e2),op(e2,e1)) ),
introduced(definition,[new_symbols(definition,[spl74_14])],[avatar_definition]) ).
fof(f620,plain,
( e2 != op(op(e1,e2),op(e2,e1))
| spl74_14 ),
inference(avatar_component_clause,[],[f618]) ).
fof(f622,definition,
( spl74_15
<=> e2 = op(op(e0,e2),op(e2,e0)) ),
introduced(definition,[new_symbols(definition,[spl74_15])],[avatar_definition]) ).
fof(f624,plain,
( e2 != op(op(e0,e2),op(e2,e0))
| spl74_15 ),
inference(avatar_component_clause,[],[f622]) ).
fof(f626,definition,
( spl74_16
<=> e1 = op(op(e4,e1),op(e1,e4)) ),
introduced(definition,[new_symbols(definition,[spl74_16])],[avatar_definition]) ).
fof(f628,plain,
( e1 != op(op(e4,e1),op(e1,e4))
| spl74_16 ),
inference(avatar_component_clause,[],[f626]) ).
fof(f630,definition,
( spl74_17
<=> e1 = op(op(e3,e1),op(e1,e3)) ),
introduced(definition,[new_symbols(definition,[spl74_17])],[avatar_definition]) ).
fof(f632,plain,
( e1 != op(op(e3,e1),op(e1,e3))
| spl74_17 ),
inference(avatar_component_clause,[],[f630]) ).
fof(f634,definition,
( spl74_18
<=> e1 = op(op(e2,e1),op(e1,e2)) ),
introduced(definition,[new_symbols(definition,[spl74_18])],[avatar_definition]) ).
fof(f636,plain,
( e1 != op(op(e2,e1),op(e1,e2))
| spl74_18 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f638,definition,
( spl74_19
<=> e1 = op(op(e1,e1),op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[spl74_19])],[avatar_definition]) ).
fof(f640,plain,
( e1 != op(op(e1,e1),op(e1,e1))
| spl74_19 ),
inference(avatar_component_clause,[],[f638]) ).
fof(f642,definition,
( spl74_20
<=> e1 = op(op(e0,e1),op(e1,e0)) ),
introduced(definition,[new_symbols(definition,[spl74_20])],[avatar_definition]) ).
fof(f644,plain,
( e1 != op(op(e0,e1),op(e1,e0))
| spl74_20 ),
inference(avatar_component_clause,[],[f642]) ).
fof(f646,definition,
( spl74_21
<=> e0 = op(op(e4,e0),op(e0,e4)) ),
introduced(definition,[new_symbols(definition,[spl74_21])],[avatar_definition]) ).
fof(f648,plain,
( e0 != op(op(e4,e0),op(e0,e4))
| spl74_21 ),
inference(avatar_component_clause,[],[f646]) ).
fof(f650,definition,
( spl74_22
<=> e0 = op(op(e3,e0),op(e0,e3)) ),
introduced(definition,[new_symbols(definition,[spl74_22])],[avatar_definition]) ).
fof(f652,plain,
( e0 != op(op(e3,e0),op(e0,e3))
| spl74_22 ),
inference(avatar_component_clause,[],[f650]) ).
fof(f654,definition,
( spl74_23
<=> e0 = op(op(e2,e0),op(e0,e2)) ),
introduced(definition,[new_symbols(definition,[spl74_23])],[avatar_definition]) ).
fof(f656,plain,
( e0 != op(op(e2,e0),op(e0,e2))
| spl74_23 ),
inference(avatar_component_clause,[],[f654]) ).
fof(f658,definition,
( spl74_24
<=> e0 = op(op(e1,e0),op(e0,e1)) ),
introduced(definition,[new_symbols(definition,[spl74_24])],[avatar_definition]) ).
fof(f660,plain,
( e0 != op(op(e1,e0),op(e0,e1))
| spl74_24 ),
inference(avatar_component_clause,[],[f658]) ).
fof(f662,definition,
( spl74_25
<=> e0 = op(op(e0,e0),op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[spl74_25])],[avatar_definition]) ).
fof(f664,plain,
( e0 != op(op(e0,e0),op(e0,e0))
| spl74_25 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f666,definition,
( spl74_26
<=> sP0 ),
introduced(definition,[new_symbols(definition,[spl74_26])],[avatar_definition]) ).
fof(f670,definition,
( spl74_27
<=> sP1 ),
introduced(definition,[new_symbols(definition,[spl74_27])],[avatar_definition]) ).
fof(f674,definition,
( spl74_28
<=> sP2 ),
introduced(definition,[new_symbols(definition,[spl74_28])],[avatar_definition]) ).
fof(f678,definition,
( spl74_29
<=> sP3 ),
introduced(definition,[new_symbols(definition,[spl74_29])],[avatar_definition]) ).
fof(f682,definition,
( spl74_30
<=> sP4 ),
introduced(definition,[new_symbols(definition,[spl74_30])],[avatar_definition]) ).
fof(f686,definition,
( spl74_31
<=> sP5 ),
introduced(definition,[new_symbols(definition,[spl74_31])],[avatar_definition]) ).
fof(f690,definition,
( spl74_32
<=> sP6 ),
introduced(definition,[new_symbols(definition,[spl74_32])],[avatar_definition]) ).
fof(f694,definition,
( spl74_33
<=> sP7 ),
introduced(definition,[new_symbols(definition,[spl74_33])],[avatar_definition]) ).
fof(f698,definition,
( spl74_34
<=> sP8 ),
introduced(definition,[new_symbols(definition,[spl74_34])],[avatar_definition]) ).
fof(f702,definition,
( spl74_35
<=> sP9 ),
introduced(definition,[new_symbols(definition,[spl74_35])],[avatar_definition]) ).
fof(f706,definition,
( spl74_36
<=> sP10 ),
introduced(definition,[new_symbols(definition,[spl74_36])],[avatar_definition]) ).
fof(f710,definition,
( spl74_37
<=> sP11 ),
introduced(definition,[new_symbols(definition,[spl74_37])],[avatar_definition]) ).
fof(f714,definition,
( spl74_38
<=> sP12 ),
introduced(definition,[new_symbols(definition,[spl74_38])],[avatar_definition]) ).
fof(f718,definition,
( spl74_39
<=> sP13 ),
introduced(definition,[new_symbols(definition,[spl74_39])],[avatar_definition]) ).
fof(f722,definition,
( spl74_40
<=> sP14 ),
introduced(definition,[new_symbols(definition,[spl74_40])],[avatar_definition]) ).
fof(f726,definition,
( spl74_41
<=> sP15 ),
introduced(definition,[new_symbols(definition,[spl74_41])],[avatar_definition]) ).
fof(f730,definition,
( spl74_42
<=> sP16 ),
introduced(definition,[new_symbols(definition,[spl74_42])],[avatar_definition]) ).
fof(f734,definition,
( spl74_43
<=> sP17 ),
introduced(definition,[new_symbols(definition,[spl74_43])],[avatar_definition]) ).
fof(f738,definition,
( spl74_44
<=> sP18 ),
introduced(definition,[new_symbols(definition,[spl74_44])],[avatar_definition]) ).
fof(f742,definition,
( spl74_45
<=> sP19 ),
introduced(definition,[new_symbols(definition,[spl74_45])],[avatar_definition]) ).
fof(f746,definition,
( spl74_46
<=> sP20 ),
introduced(definition,[new_symbols(definition,[spl74_46])],[avatar_definition]) ).
fof(f750,definition,
( spl74_47
<=> sP21 ),
introduced(definition,[new_symbols(definition,[spl74_47])],[avatar_definition]) ).
fof(f754,definition,
( spl74_48
<=> sP22 ),
introduced(definition,[new_symbols(definition,[spl74_48])],[avatar_definition]) ).
fof(f758,definition,
( spl74_49
<=> sP23 ),
introduced(definition,[new_symbols(definition,[spl74_49])],[avatar_definition]) ).
fof(f762,definition,
( spl74_50
<=> sP24 ),
introduced(definition,[new_symbols(definition,[spl74_50])],[avatar_definition]) ).
fof(f766,definition,
( spl74_51
<=> sP25 ),
introduced(definition,[new_symbols(definition,[spl74_51])],[avatar_definition]) ).
fof(f770,definition,
( spl74_52
<=> sP26 ),
introduced(definition,[new_symbols(definition,[spl74_52])],[avatar_definition]) ).
fof(f774,definition,
( spl74_53
<=> sP27 ),
introduced(definition,[new_symbols(definition,[spl74_53])],[avatar_definition]) ).
fof(f778,definition,
( spl74_54
<=> sP28 ),
introduced(definition,[new_symbols(definition,[spl74_54])],[avatar_definition]) ).
fof(f782,definition,
( spl74_55
<=> sP29 ),
introduced(definition,[new_symbols(definition,[spl74_55])],[avatar_definition]) ).
fof(f786,definition,
( spl74_56
<=> sP30 ),
introduced(definition,[new_symbols(definition,[spl74_56])],[avatar_definition]) ).
fof(f790,definition,
( spl74_57
<=> sP31 ),
introduced(definition,[new_symbols(definition,[spl74_57])],[avatar_definition]) ).
fof(f794,definition,
( spl74_58
<=> sP32 ),
introduced(definition,[new_symbols(definition,[spl74_58])],[avatar_definition]) ).
fof(f798,definition,
( spl74_59
<=> sP33 ),
introduced(definition,[new_symbols(definition,[spl74_59])],[avatar_definition]) ).
fof(f802,definition,
( spl74_60
<=> sP34 ),
introduced(definition,[new_symbols(definition,[spl74_60])],[avatar_definition]) ).
fof(f806,definition,
( spl74_61
<=> sP35 ),
introduced(definition,[new_symbols(definition,[spl74_61])],[avatar_definition]) ).
fof(f810,definition,
( spl74_62
<=> sP36 ),
introduced(definition,[new_symbols(definition,[spl74_62])],[avatar_definition]) ).
fof(f814,definition,
( spl74_63
<=> sP37 ),
introduced(definition,[new_symbols(definition,[spl74_63])],[avatar_definition]) ).
fof(f818,definition,
( spl74_64
<=> sP38 ),
introduced(definition,[new_symbols(definition,[spl74_64])],[avatar_definition]) ).
fof(f822,definition,
( spl74_65
<=> sP39 ),
introduced(definition,[new_symbols(definition,[spl74_65])],[avatar_definition]) ).
fof(f826,definition,
( spl74_66
<=> sP40 ),
introduced(definition,[new_symbols(definition,[spl74_66])],[avatar_definition]) ).
fof(f830,definition,
( spl74_67
<=> sP41 ),
introduced(definition,[new_symbols(definition,[spl74_67])],[avatar_definition]) ).
fof(f834,definition,
( spl74_68
<=> sP42 ),
introduced(definition,[new_symbols(definition,[spl74_68])],[avatar_definition]) ).
fof(f838,definition,
( spl74_69
<=> sP43 ),
introduced(definition,[new_symbols(definition,[spl74_69])],[avatar_definition]) ).
fof(f842,definition,
( spl74_70
<=> sP44 ),
introduced(definition,[new_symbols(definition,[spl74_70])],[avatar_definition]) ).
fof(f846,definition,
( spl74_71
<=> sP45 ),
introduced(definition,[new_symbols(definition,[spl74_71])],[avatar_definition]) ).
fof(f850,definition,
( spl74_72
<=> sP46 ),
introduced(definition,[new_symbols(definition,[spl74_72])],[avatar_definition]) ).
fof(f854,definition,
( spl74_73
<=> sP47 ),
introduced(definition,[new_symbols(definition,[spl74_73])],[avatar_definition]) ).
fof(f858,definition,
( spl74_74
<=> sP48 ),
introduced(definition,[new_symbols(definition,[spl74_74])],[avatar_definition]) ).
fof(f862,definition,
( spl74_75
<=> sP49 ),
introduced(definition,[new_symbols(definition,[spl74_75])],[avatar_definition]) ).
fof(f866,definition,
( spl74_76
<=> sP50 ),
introduced(definition,[new_symbols(definition,[spl74_76])],[avatar_definition]) ).
fof(f870,definition,
( spl74_77
<=> sP51 ),
introduced(definition,[new_symbols(definition,[spl74_77])],[avatar_definition]) ).
fof(f874,definition,
( spl74_78
<=> sP52 ),
introduced(definition,[new_symbols(definition,[spl74_78])],[avatar_definition]) ).
fof(f878,definition,
( spl74_79
<=> sP53 ),
introduced(definition,[new_symbols(definition,[spl74_79])],[avatar_definition]) ).
fof(f882,definition,
( spl74_80
<=> sP54 ),
introduced(definition,[new_symbols(definition,[spl74_80])],[avatar_definition]) ).
fof(f886,definition,
( spl74_81
<=> sP55 ),
introduced(definition,[new_symbols(definition,[spl74_81])],[avatar_definition]) ).
fof(f890,definition,
( spl74_82
<=> sP56 ),
introduced(definition,[new_symbols(definition,[spl74_82])],[avatar_definition]) ).
fof(f894,definition,
( spl74_83
<=> sP57 ),
introduced(definition,[new_symbols(definition,[spl74_83])],[avatar_definition]) ).
fof(f898,definition,
( spl74_84
<=> sP58 ),
introduced(definition,[new_symbols(definition,[spl74_84])],[avatar_definition]) ).
fof(f902,definition,
( spl74_85
<=> sP59 ),
introduced(definition,[new_symbols(definition,[spl74_85])],[avatar_definition]) ).
fof(f906,definition,
( spl74_86
<=> sP60 ),
introduced(definition,[new_symbols(definition,[spl74_86])],[avatar_definition]) ).
fof(f910,definition,
( spl74_87
<=> sP61 ),
introduced(definition,[new_symbols(definition,[spl74_87])],[avatar_definition]) ).
fof(f914,definition,
( spl74_88
<=> sP62 ),
introduced(definition,[new_symbols(definition,[spl74_88])],[avatar_definition]) ).
fof(f918,definition,
( spl74_89
<=> sP63 ),
introduced(definition,[new_symbols(definition,[spl74_89])],[avatar_definition]) ).
fof(f922,definition,
( spl74_90
<=> sP64 ),
introduced(definition,[new_symbols(definition,[spl74_90])],[avatar_definition]) ).
fof(f926,definition,
( spl74_91
<=> sP65 ),
introduced(definition,[new_symbols(definition,[spl74_91])],[avatar_definition]) ).
fof(f930,definition,
( spl74_92
<=> sP66 ),
introduced(definition,[new_symbols(definition,[spl74_92])],[avatar_definition]) ).
fof(f934,definition,
( spl74_93
<=> sP67 ),
introduced(definition,[new_symbols(definition,[spl74_93])],[avatar_definition]) ).
fof(f938,definition,
( spl74_94
<=> sP68 ),
introduced(definition,[new_symbols(definition,[spl74_94])],[avatar_definition]) ).
fof(f942,definition,
( spl74_95
<=> sP69 ),
introduced(definition,[new_symbols(definition,[spl74_95])],[avatar_definition]) ).
fof(f946,definition,
( spl74_96
<=> sP70 ),
introduced(definition,[new_symbols(definition,[spl74_96])],[avatar_definition]) ).
fof(f950,definition,
( spl74_97
<=> sP71 ),
introduced(definition,[new_symbols(definition,[spl74_97])],[avatar_definition]) ).
fof(f954,definition,
( spl74_98
<=> sP72 ),
introduced(definition,[new_symbols(definition,[spl74_98])],[avatar_definition]) ).
fof(f958,definition,
( spl74_99
<=> sP73 ),
introduced(definition,[new_symbols(definition,[spl74_99])],[avatar_definition]) ).
fof(f966,definition,
( spl74_101
<=> e4 = op(e4,op(e4,e4)) ),
introduced(definition,[new_symbols(definition,[spl74_101])],[avatar_definition]) ).
fof(f968,plain,
( e4 != op(e4,op(e4,e4))
| spl74_101 ),
inference(avatar_component_clause,[],[f966]) ).
fof(f970,definition,
( spl74_102
<=> e3 = op(e4,op(e4,e3)) ),
introduced(definition,[new_symbols(definition,[spl74_102])],[avatar_definition]) ).
fof(f972,plain,
( e3 != op(e4,op(e4,e3))
| spl74_102 ),
inference(avatar_component_clause,[],[f970]) ).
fof(f974,definition,
( spl74_103
<=> e2 = op(e4,op(e4,e2)) ),
introduced(definition,[new_symbols(definition,[spl74_103])],[avatar_definition]) ).
fof(f976,plain,
( e2 != op(e4,op(e4,e2))
| spl74_103 ),
inference(avatar_component_clause,[],[f974]) ).
fof(f978,definition,
( spl74_104
<=> e1 = op(e4,op(e4,e1)) ),
introduced(definition,[new_symbols(definition,[spl74_104])],[avatar_definition]) ).
fof(f980,plain,
( e1 != op(e4,op(e4,e1))
| spl74_104 ),
inference(avatar_component_clause,[],[f978]) ).
fof(f982,definition,
( spl74_105
<=> e0 = op(e4,op(e4,e0)) ),
introduced(definition,[new_symbols(definition,[spl74_105])],[avatar_definition]) ).
fof(f984,plain,
( e0 != op(e4,op(e4,e0))
| spl74_105 ),
inference(avatar_component_clause,[],[f982]) ).
fof(f986,definition,
( spl74_106
<=> e4 = op(e3,op(e3,e4)) ),
introduced(definition,[new_symbols(definition,[spl74_106])],[avatar_definition]) ).
fof(f988,plain,
( e4 != op(e3,op(e3,e4))
| spl74_106 ),
inference(avatar_component_clause,[],[f986]) ).
fof(f990,definition,
( spl74_107
<=> e3 = op(e3,op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[spl74_107])],[avatar_definition]) ).
fof(f992,plain,
( e3 != op(e3,op(e3,e3))
| spl74_107 ),
inference(avatar_component_clause,[],[f990]) ).
fof(f994,definition,
( spl74_108
<=> e2 = op(e3,op(e3,e2)) ),
introduced(definition,[new_symbols(definition,[spl74_108])],[avatar_definition]) ).
fof(f996,plain,
( e2 != op(e3,op(e3,e2))
| spl74_108 ),
inference(avatar_component_clause,[],[f994]) ).
fof(f998,definition,
( spl74_109
<=> e1 = op(e3,op(e3,e1)) ),
introduced(definition,[new_symbols(definition,[spl74_109])],[avatar_definition]) ).
fof(f1000,plain,
( e1 != op(e3,op(e3,e1))
| spl74_109 ),
inference(avatar_component_clause,[],[f998]) ).
fof(f1002,definition,
( spl74_110
<=> e0 = op(e3,op(e3,e0)) ),
introduced(definition,[new_symbols(definition,[spl74_110])],[avatar_definition]) ).
fof(f1004,plain,
( e0 != op(e3,op(e3,e0))
| spl74_110 ),
inference(avatar_component_clause,[],[f1002]) ).
fof(f1006,definition,
( spl74_111
<=> e4 = op(e2,op(e2,e4)) ),
introduced(definition,[new_symbols(definition,[spl74_111])],[avatar_definition]) ).
fof(f1008,plain,
( e4 != op(e2,op(e2,e4))
| spl74_111 ),
inference(avatar_component_clause,[],[f1006]) ).
fof(f1010,definition,
( spl74_112
<=> e3 = op(e2,op(e2,e3)) ),
introduced(definition,[new_symbols(definition,[spl74_112])],[avatar_definition]) ).
fof(f1012,plain,
( e3 != op(e2,op(e2,e3))
| spl74_112 ),
inference(avatar_component_clause,[],[f1010]) ).
fof(f1014,definition,
( spl74_113
<=> e2 = op(e2,op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[spl74_113])],[avatar_definition]) ).
fof(f1016,plain,
( e2 != op(e2,op(e2,e2))
| spl74_113 ),
inference(avatar_component_clause,[],[f1014]) ).
fof(f1018,definition,
( spl74_114
<=> e1 = op(e2,op(e2,e1)) ),
introduced(definition,[new_symbols(definition,[spl74_114])],[avatar_definition]) ).
fof(f1020,plain,
( e1 != op(e2,op(e2,e1))
| spl74_114 ),
inference(avatar_component_clause,[],[f1018]) ).
fof(f1022,definition,
( spl74_115
<=> e0 = op(e2,op(e2,e0)) ),
introduced(definition,[new_symbols(definition,[spl74_115])],[avatar_definition]) ).
fof(f1024,plain,
( e0 != op(e2,op(e2,e0))
| spl74_115 ),
inference(avatar_component_clause,[],[f1022]) ).
fof(f1026,definition,
( spl74_116
<=> e4 = op(e1,op(e1,e4)) ),
introduced(definition,[new_symbols(definition,[spl74_116])],[avatar_definition]) ).
fof(f1028,plain,
( e4 != op(e1,op(e1,e4))
| spl74_116 ),
inference(avatar_component_clause,[],[f1026]) ).
fof(f1030,definition,
( spl74_117
<=> e3 = op(e1,op(e1,e3)) ),
introduced(definition,[new_symbols(definition,[spl74_117])],[avatar_definition]) ).
fof(f1032,plain,
( e3 != op(e1,op(e1,e3))
| spl74_117 ),
inference(avatar_component_clause,[],[f1030]) ).
fof(f1034,definition,
( spl74_118
<=> e2 = op(e1,op(e1,e2)) ),
introduced(definition,[new_symbols(definition,[spl74_118])],[avatar_definition]) ).
fof(f1036,plain,
( e2 != op(e1,op(e1,e2))
| spl74_118 ),
inference(avatar_component_clause,[],[f1034]) ).
fof(f1038,definition,
( spl74_119
<=> e1 = op(e1,op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[spl74_119])],[avatar_definition]) ).
fof(f1040,plain,
( e1 != op(e1,op(e1,e1))
| spl74_119 ),
inference(avatar_component_clause,[],[f1038]) ).
fof(f1042,definition,
( spl74_120
<=> e0 = op(e1,op(e1,e0)) ),
introduced(definition,[new_symbols(definition,[spl74_120])],[avatar_definition]) ).
fof(f1044,plain,
( e0 != op(e1,op(e1,e0))
| spl74_120 ),
inference(avatar_component_clause,[],[f1042]) ).
fof(f1046,definition,
( spl74_121
<=> e4 = op(e0,op(e0,e4)) ),
introduced(definition,[new_symbols(definition,[spl74_121])],[avatar_definition]) ).
fof(f1048,plain,
( e4 != op(e0,op(e0,e4))
| spl74_121 ),
inference(avatar_component_clause,[],[f1046]) ).
fof(f1050,definition,
( spl74_122
<=> e3 = op(e0,op(e0,e3)) ),
introduced(definition,[new_symbols(definition,[spl74_122])],[avatar_definition]) ).
fof(f1052,plain,
( e3 != op(e0,op(e0,e3))
| spl74_122 ),
inference(avatar_component_clause,[],[f1050]) ).
fof(f1054,definition,
( spl74_123
<=> e2 = op(e0,op(e0,e2)) ),
introduced(definition,[new_symbols(definition,[spl74_123])],[avatar_definition]) ).
fof(f1056,plain,
( e2 != op(e0,op(e0,e2))
| spl74_123 ),
inference(avatar_component_clause,[],[f1054]) ).
fof(f1058,definition,
( spl74_124
<=> e1 = op(e0,op(e0,e1)) ),
introduced(definition,[new_symbols(definition,[spl74_124])],[avatar_definition]) ).
fof(f1060,plain,
( e1 != op(e0,op(e0,e1))
| spl74_124 ),
inference(avatar_component_clause,[],[f1058]) ).
fof(f1062,definition,
( spl74_125
<=> e0 = op(e0,op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[spl74_125])],[avatar_definition]) ).
fof(f1064,plain,
( e0 != op(e0,op(e0,e0))
| spl74_125 ),
inference(avatar_component_clause,[],[f1062]) ).
fof(f1082,definition,
( spl74_129
<=> e0 = op(e0,e0) ),
introduced(definition,[new_symbols(definition,[spl74_129])],[avatar_definition]) ).
fof(f1083,plain,
( e0 = op(e0,e0)
| ~ spl74_129 ),
inference(avatar_component_clause,[],[f1082]) ).
fof(f1085,plain,
( ~ spl74_1
| ~ spl74_2
| ~ spl74_3
| ~ spl74_4
| ~ spl74_5
| ~ spl74_6
| ~ spl74_7
| ~ spl74_8
| ~ spl74_9
| ~ spl74_10
| ~ spl74_11
| ~ spl74_12
| ~ spl74_13
| ~ spl74_14
| ~ spl74_15
| ~ spl74_16
| ~ spl74_17
| ~ spl74_18
| ~ spl74_19
| ~ spl74_20
| ~ spl74_21
| ~ spl74_22
| ~ spl74_23
| ~ spl74_24
| ~ spl74_25
| spl74_26
| spl74_27
| spl74_28
| spl74_29
| spl74_30
| spl74_31
| spl74_32
| spl74_33
| spl74_34
| spl74_35
| spl74_36
| spl74_37
| spl74_38
| spl74_39
| spl74_40
| spl74_41
| spl74_42
| spl74_43
| spl74_44
| spl74_45
| spl74_46
| spl74_47
| spl74_48
| spl74_49
| spl74_50
| spl74_51
| spl74_52
| spl74_53
| spl74_54
| spl74_55
| spl74_56
| spl74_57
| spl74_58
| spl74_59
| spl74_60
| spl74_61
| spl74_62
| spl74_63
| spl74_64
| spl74_65
| spl74_66
| spl74_67
| spl74_68
| spl74_69
| spl74_70
| spl74_71
| spl74_72
| spl74_73
| spl74_74
| spl74_75
| spl74_76
| spl74_77
| spl74_78
| spl74_79
| spl74_80
| spl74_81
| spl74_82
| spl74_83
| spl74_84
| spl74_85
| spl74_86
| spl74_87
| spl74_88
| spl74_89
| spl74_90
| spl74_91
| spl74_92
| spl74_93
| spl74_94
| spl74_95
| spl74_96
| spl74_97
| spl74_98
| spl74_99
| ~ spl74_129
| ~ spl74_101
| ~ spl74_102
| ~ spl74_103
| ~ spl74_104
| ~ spl74_105
| ~ spl74_106
| ~ spl74_107
| ~ spl74_108
| ~ spl74_109
| ~ spl74_110
| ~ spl74_111
| ~ spl74_112
| ~ spl74_113
| ~ spl74_114
| ~ spl74_115
| ~ spl74_116
| ~ spl74_117
| ~ spl74_118
| ~ spl74_119
| ~ spl74_120
| ~ spl74_121
| ~ spl74_122
| ~ spl74_123
| ~ spl74_124
| ~ spl74_125 ),
inference(avatar_split_clause,[],[f564,f1062,f1058,f1054,f1050,f1046,f1042,f1038,f1034,f1030,f1026,f1022,f1018,f1014,f1010,f1006,f1002,f998,f994,f990,f986,f982,f978,f974,f970,f966,f1082,f958,f954,f950,f946,f942,f938,f934,f930,f926,f922,f918,f914,f910,f906,f902,f898,f894,f890,f886,f882,f878,f874,f870,f866,f862,f858,f854,f850,f846,f842,f838,f834,f830,f826,f822,f818,f814,f810,f806,f802,f798,f794,f790,f786,f782,f778,f774,f770,f766,f762,f758,f754,f750,f746,f742,f738,f734,f730,f726,f722,f718,f714,f710,f706,f702,f698,f694,f690,f686,f682,f678,f674,f670,f666,f662,f658,f654,f650,f646,f642,f638,f634,f630,f626,f622,f618,f614,f610,f606,f602,f598,f594,f590,f586,f582,f578,f574,f570,f566]) ).
fof(f1087,definition,
( spl74_130
<=> e4 = op(e4,e4) ),
introduced(definition,[new_symbols(definition,[spl74_130])],[avatar_definition]) ).
fof(f1088,plain,
( e4 = op(e4,e4)
| ~ spl74_130 ),
inference(avatar_component_clause,[],[f1087]) ).
fof(f1090,plain,
( ~ spl74_26
| ~ spl74_130 ),
inference(avatar_split_clause,[],[f555,f1087,f666]) ).
fof(f1111,plain,
( ~ spl74_27
| ~ spl74_130 ),
inference(avatar_split_clause,[],[f550,f1087,f670]) ).
fof(f1143,definition,
( spl74_141
<=> e3 = op(e2,e4) ),
introduced(definition,[new_symbols(definition,[spl74_141])],[avatar_definition]) ).
fof(f1144,plain,
( e3 = op(e2,e4)
| ~ spl74_141 ),
inference(avatar_component_clause,[],[f1143]) ).
fof(f1146,plain,
( ~ spl74_28
| ~ spl74_141 ),
inference(avatar_split_clause,[],[f547,f1143,f674]) ).
fof(f1174,definition,
( spl74_147
<=> e3 = op(e4,e0) ),
introduced(definition,[new_symbols(definition,[spl74_147])],[avatar_definition]) ).
fof(f1175,plain,
( e3 = op(e4,e0)
| ~ spl74_147 ),
inference(avatar_component_clause,[],[f1174]) ).
fof(f1177,plain,
( ~ spl74_29
| ~ spl74_147 ),
inference(avatar_split_clause,[],[f544,f1174,f678]) ).
fof(f1199,definition,
( spl74_152
<=> e2 = op(e0,e4) ),
introduced(definition,[new_symbols(definition,[spl74_152])],[avatar_definition]) ).
fof(f1200,plain,
( e2 = op(e0,e4)
| ~ spl74_152 ),
inference(avatar_component_clause,[],[f1199]) ).
fof(f1202,plain,
( ~ spl74_30
| ~ spl74_152 ),
inference(avatar_split_clause,[],[f539,f1199,f682]) ).
fof(f1215,definition,
( spl74_155
<=> e2 = op(e4,e1) ),
introduced(definition,[new_symbols(definition,[spl74_155])],[avatar_definition]) ).
fof(f1216,plain,
( e2 = op(e4,e1)
| ~ spl74_155 ),
inference(avatar_component_clause,[],[f1215]) ).
fof(f1218,plain,
( ~ spl74_31
| ~ spl74_155 ),
inference(avatar_split_clause,[],[f533,f1215,f686]) ).
fof(f1230,definition,
( spl74_158
<=> e1 = op(e3,e4) ),
introduced(definition,[new_symbols(definition,[spl74_158])],[avatar_definition]) ).
fof(f1231,plain,
( e1 = op(e3,e4)
| ~ spl74_158 ),
inference(avatar_component_clause,[],[f1230]) ).
fof(f1233,plain,
( ~ spl74_32
| ~ spl74_158 ),
inference(avatar_split_clause,[],[f526,f1230,f690]) ).
fof(f1256,definition,
( spl74_163
<=> e1 = op(e4,e2) ),
introduced(definition,[new_symbols(definition,[spl74_163])],[avatar_definition]) ).
fof(f1257,plain,
( e1 = op(e4,e2)
| ~ spl74_163 ),
inference(avatar_component_clause,[],[f1256]) ).
fof(f1259,plain,
( ~ spl74_33
| ~ spl74_163 ),
inference(avatar_split_clause,[],[f522,f1256,f694]) ).
fof(f1286,definition,
( spl74_169
<=> e0 = op(e1,e4) ),
introduced(definition,[new_symbols(definition,[spl74_169])],[avatar_definition]) ).
fof(f1287,plain,
( e0 = op(e1,e4)
| ~ spl74_169 ),
inference(avatar_component_clause,[],[f1286]) ).
fof(f1289,plain,
( ~ spl74_34
| ~ spl74_169 ),
inference(avatar_split_clause,[],[f518,f1286,f698]) ).
fof(f1297,definition,
( spl74_171
<=> e0 = op(e4,e3) ),
introduced(definition,[new_symbols(definition,[spl74_171])],[avatar_definition]) ).
fof(f1298,plain,
( e0 = op(e4,e3)
| ~ spl74_171 ),
inference(avatar_component_clause,[],[f1297]) ).
fof(f1300,plain,
( ~ spl74_35
| ~ spl74_171 ),
inference(avatar_split_clause,[],[f511,f1297,f702]) ).
fof(f1323,definition,
( spl74_176
<=> e4 = op(e2,e3) ),
introduced(definition,[new_symbols(definition,[spl74_176])],[avatar_definition]) ).
fof(f1324,plain,
( e4 = op(e2,e3)
| ~ spl74_176 ),
inference(avatar_component_clause,[],[f1323]) ).
fof(f1326,plain,
( ~ spl74_36
| ~ spl74_176 ),
inference(avatar_split_clause,[],[f507,f1323,f706]) ).
fof(f1345,definition,
( spl74_180
<=> e4 = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[spl74_180])],[avatar_definition]) ).
fof(f1346,plain,
( e4 = op(e3,e1)
| ~ spl74_180 ),
inference(avatar_component_clause,[],[f1345]) ).
fof(f1348,plain,
( ~ spl74_37
| ~ spl74_180 ),
inference(avatar_split_clause,[],[f503,f1345,f710]) ).
fof(f1356,definition,
( spl74_182
<=> e3 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl74_182])],[avatar_definition]) ).
fof(f1357,plain,
( e3 = op(e3,e3)
| ~ spl74_182 ),
inference(avatar_component_clause,[],[f1356]) ).
fof(f1359,plain,
( ~ spl74_38
| ~ spl74_182 ),
inference(avatar_split_clause,[],[f496,f1356,f714]) ).
fof(f1376,plain,
( ~ spl74_39
| ~ spl74_182 ),
inference(avatar_split_clause,[],[f491,f1356,f718]) ).
fof(f1404,definition,
( spl74_191
<=> e2 = op(e1,e3) ),
introduced(definition,[new_symbols(definition,[spl74_191])],[avatar_definition]) ).
fof(f1405,plain,
( e2 = op(e1,e3)
| ~ spl74_191 ),
inference(avatar_component_clause,[],[f1404]) ).
fof(f1407,plain,
( ~ spl74_40
| ~ spl74_191 ),
inference(avatar_split_clause,[],[f488,f1404,f722]) ).
fof(f1426,definition,
( spl74_195
<=> e2 = op(e3,e0) ),
introduced(definition,[new_symbols(definition,[spl74_195])],[avatar_definition]) ).
fof(f1427,plain,
( e2 = op(e3,e0)
| ~ spl74_195 ),
inference(avatar_component_clause,[],[f1426]) ).
fof(f1429,plain,
( ~ spl74_41
| ~ spl74_195 ),
inference(avatar_split_clause,[],[f484,f1426,f726]) ).
fof(f1447,definition,
( spl74_199
<=> e1 = op(e0,e3) ),
introduced(definition,[new_symbols(definition,[spl74_199])],[avatar_definition]) ).
fof(f1448,plain,
( e1 = op(e0,e3)
| ~ spl74_199 ),
inference(avatar_component_clause,[],[f1447]) ).
fof(f1450,plain,
( ~ spl74_42
| ~ spl74_199 ),
inference(avatar_split_clause,[],[f479,f1447,f730]) ).
fof(f1451,plain,
( ~ spl74_43
| ~ spl74_158 ),
inference(avatar_split_clause,[],[f470,f1230,f734]) ).
fof(f1468,plain,
( ~ spl74_44
| ~ spl74_171 ),
inference(avatar_split_clause,[],[f465,f1297,f738]) ).
fof(f1492,definition,
( spl74_207
<=> e0 = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[spl74_207])],[avatar_definition]) ).
fof(f1493,plain,
( e0 = op(e3,e2)
| ~ spl74_207 ),
inference(avatar_component_clause,[],[f1492]) ).
fof(f1495,plain,
( ~ spl74_45
| ~ spl74_207 ),
inference(avatar_split_clause,[],[f462,f1492,f742]) ).
fof(f1519,definition,
( spl74_212
<=> e4 = op(e0,e2) ),
introduced(definition,[new_symbols(definition,[spl74_212])],[avatar_definition]) ).
fof(f1520,plain,
( e4 = op(e0,e2)
| ~ spl74_212 ),
inference(avatar_component_clause,[],[f1519]) ).
fof(f1522,plain,
( ~ spl74_46
| ~ spl74_212 ),
inference(avatar_split_clause,[],[f459,f1519,f746]) ).
fof(f1524,plain,
( ~ spl74_47
| ~ spl74_176 ),
inference(avatar_split_clause,[],[f451,f1323,f750]) ).
fof(f1544,definition,
( spl74_216
<=> e3 = op(e1,e2) ),
introduced(definition,[new_symbols(definition,[spl74_216])],[avatar_definition]) ).
fof(f1545,plain,
( e3 = op(e1,e2)
| ~ spl74_216 ),
inference(avatar_component_clause,[],[f1544]) ).
fof(f1547,plain,
( ~ spl74_48
| ~ spl74_216 ),
inference(avatar_split_clause,[],[f448,f1544,f754]) ).
fof(f1553,plain,
( ~ spl74_49
| ~ spl74_141 ),
inference(avatar_split_clause,[],[f440,f1143,f758]) ).
fof(f1569,definition,
( spl74_220
<=> e2 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl74_220])],[avatar_definition]) ).
fof(f1570,plain,
( e2 = op(e2,e2)
| ~ spl74_220 ),
inference(avatar_component_clause,[],[f1569]) ).
fof(f1572,plain,
( ~ spl74_50
| ~ spl74_220 ),
inference(avatar_split_clause,[],[f437,f1569,f762]) ).
fof(f1585,plain,
( ~ spl74_51
| ~ spl74_220 ),
inference(avatar_split_clause,[],[f432,f1569,f766]) ).
fof(f1596,plain,
( ~ spl74_52
| ~ spl74_163 ),
inference(avatar_split_clause,[],[f425,f1256,f770]) ).
fof(f1622,definition,
( spl74_229
<=> e1 = op(e2,e0) ),
introduced(definition,[new_symbols(definition,[spl74_229])],[avatar_definition]) ).
fof(f1623,plain,
( e1 = op(e2,e0)
| ~ spl74_229 ),
inference(avatar_component_clause,[],[f1622]) ).
fof(f1625,plain,
( ~ spl74_53
| ~ spl74_229 ),
inference(avatar_split_clause,[],[f424,f1622,f774]) ).
fof(f1627,plain,
( ~ spl74_54
| ~ spl74_207 ),
inference(avatar_split_clause,[],[f416,f1492,f778]) ).
fof(f1647,definition,
( spl74_233
<=> e0 = op(e2,e1) ),
introduced(definition,[new_symbols(definition,[spl74_233])],[avatar_definition]) ).
fof(f1648,plain,
( e0 = op(e2,e1)
| ~ spl74_233 ),
inference(avatar_component_clause,[],[f1647]) ).
fof(f1650,plain,
( ~ spl74_55
| ~ spl74_233 ),
inference(avatar_split_clause,[],[f413,f1647,f782]) ).
fof(f1657,plain,
( ~ spl74_56
| ~ spl74_180 ),
inference(avatar_split_clause,[],[f406,f1345,f786]) ).
fof(f1674,definition,
( spl74_237
<=> e4 = op(e1,e0) ),
introduced(definition,[new_symbols(definition,[spl74_237])],[avatar_definition]) ).
fof(f1675,plain,
( e4 = op(e1,e0)
| ~ spl74_237 ),
inference(avatar_component_clause,[],[f1674]) ).
fof(f1677,plain,
( ~ spl74_57
| ~ spl74_237 ),
inference(avatar_split_clause,[],[f404,f1674,f790]) ).
fof(f1687,definition,
( spl74_239
<=> e3 = op(e0,e1) ),
introduced(definition,[new_symbols(definition,[spl74_239])],[avatar_definition]) ).
fof(f1688,plain,
( e3 = op(e0,e1)
| ~ spl74_239 ),
inference(avatar_component_clause,[],[f1687]) ).
fof(f1690,plain,
( ~ spl74_58
| ~ spl74_239 ),
inference(avatar_split_clause,[],[f399,f1687,f794]) ).
fof(f1693,plain,
( ~ spl74_59
| ~ spl74_216 ),
inference(avatar_split_clause,[],[f392,f1544,f798]) ).
fof(f1700,plain,
( ~ spl74_60
| ~ spl74_155 ),
inference(avatar_split_clause,[],[f385,f1215,f802]) ).
fof(f1714,plain,
( ~ spl74_61
| ~ spl74_191 ),
inference(avatar_split_clause,[],[f381,f1404,f806]) ).
fof(f1726,definition,
( spl74_244
<=> e1 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl74_244])],[avatar_definition]) ).
fof(f1727,plain,
( e1 = op(e1,e1)
| ~ spl74_244 ),
inference(avatar_component_clause,[],[f1726]) ).
fof(f1729,plain,
( ~ spl74_62
| ~ spl74_244 ),
inference(avatar_split_clause,[],[f378,f1726,f810]) ).
fof(f1738,plain,
( ~ spl74_63
| ~ spl74_244 ),
inference(avatar_split_clause,[],[f373,f1726,f814]) ).
fof(f1746,plain,
( ~ spl74_64
| ~ spl74_233 ),
inference(avatar_split_clause,[],[f367,f1647,f818]) ).
fof(f1757,plain,
( ~ spl74_65
| ~ spl74_169 ),
inference(avatar_split_clause,[],[f360,f1286,f822]) ).
fof(f1769,plain,
( ~ spl74_66
| ~ spl74_237 ),
inference(avatar_split_clause,[],[f358,f1674,f826]) ).
fof(f1773,plain,
( ~ spl74_67
| ~ spl74_212 ),
inference(avatar_split_clause,[],[f352,f1519,f830]) ).
fof(f1776,plain,
( ~ spl74_68
| ~ spl74_147 ),
inference(avatar_split_clause,[],[f345,f1174,f834]) ).
fof(f1784,plain,
( ~ spl74_69
| ~ spl74_239 ),
inference(avatar_split_clause,[],[f343,f1687,f838]) ).
fof(f1787,plain,
( ~ spl74_70
| ~ spl74_195 ),
inference(avatar_split_clause,[],[f336,f1426,f842]) ).
fof(f1791,plain,
( ~ spl74_71
| ~ spl74_152 ),
inference(avatar_split_clause,[],[f330,f1199,f846]) ).
fof(f1798,plain,
( ~ spl74_72
| ~ spl74_229 ),
inference(avatar_split_clause,[],[f327,f1622,f850]) ).
fof(f1802,plain,
( ~ spl74_73
| ~ spl74_199 ),
inference(avatar_split_clause,[],[f321,f1447,f854]) ).
fof(f1810,plain,
( ~ spl74_74
| ~ spl74_129 ),
inference(avatar_split_clause,[],[f319,f1082,f858]) ).
fof(f1815,plain,
( ~ spl74_75
| ~ spl74_129 ),
inference(avatar_split_clause,[],[f314,f1082,f862]) ).
fof(f1816,plain,
( ~ spl74_76
| ~ spl74_130 ),
inference(avatar_split_clause,[],[f305,f1087,f866]) ).
fof(f1825,plain,
( ~ spl74_77
| ~ spl74_171 ),
inference(avatar_split_clause,[],[f304,f1297,f870]) ).
fof(f1829,plain,
( ~ spl74_78
| ~ spl74_163 ),
inference(avatar_split_clause,[],[f298,f1256,f874]) ).
fof(f1833,plain,
( ~ spl74_79
| ~ spl74_155 ),
inference(avatar_split_clause,[],[f292,f1215,f878]) ).
fof(f1837,plain,
( ~ spl74_80
| ~ spl74_147 ),
inference(avatar_split_clause,[],[f286,f1174,f882]) ).
fof(f1844,plain,
( ~ spl74_81
| ~ spl74_158 ),
inference(avatar_split_clause,[],[f283,f1230,f886]) ).
fof(f1847,plain,
( ~ spl74_82
| ~ spl74_182 ),
inference(avatar_split_clause,[],[f276,f1356,f890]) ).
fof(f1855,plain,
( ~ spl74_83
| ~ spl74_207 ),
inference(avatar_split_clause,[],[f274,f1492,f894]) ).
fof(f1856,plain,
( ~ spl74_84
| ~ spl74_180 ),
inference(avatar_split_clause,[],[f265,f1345,f898]) ).
fof(f1863,plain,
( ~ spl74_85
| ~ spl74_195 ),
inference(avatar_split_clause,[],[f262,f1426,f902]) ).
fof(f1867,plain,
( ~ spl74_86
| ~ spl74_141 ),
inference(avatar_split_clause,[],[f256,f1143,f906]) ).
fof(f1871,plain,
( ~ spl74_87
| ~ spl74_176 ),
inference(avatar_split_clause,[],[f250,f1323,f910]) ).
fof(f1878,plain,
( ~ spl74_88
| ~ spl74_220 ),
inference(avatar_split_clause,[],[f247,f1569,f914]) ).
fof(f1885,plain,
( ~ spl74_89
| ~ spl74_233 ),
inference(avatar_split_clause,[],[f244,f1647,f918]) ).
fof(f1889,plain,
( ~ spl74_90
| ~ spl74_229 ),
inference(avatar_split_clause,[],[f238,f1622,f922]) ).
fof(f1895,plain,
( ~ spl74_91
| ~ spl74_169 ),
inference(avatar_split_clause,[],[f234,f1286,f926]) ).
fof(f1898,plain,
( ~ spl74_92
| ~ spl74_191 ),
inference(avatar_split_clause,[],[f227,f1404,f930]) ).
fof(f1902,plain,
( ~ spl74_93
| ~ spl74_216 ),
inference(avatar_split_clause,[],[f221,f1544,f934]) ).
fof(f1909,plain,
( ~ spl74_94
| ~ spl74_244 ),
inference(avatar_split_clause,[],[f218,f1726,f938]) ).
fof(f1911,plain,
( ~ spl74_95
| ~ spl74_237 ),
inference(avatar_split_clause,[],[f210,f1674,f942]) ).
fof(f1918,plain,
( ~ spl74_96
| ~ spl74_152 ),
inference(avatar_split_clause,[],[f207,f1199,f946]) ).
fof(f1924,plain,
( ~ spl74_97
| ~ spl74_199 ),
inference(avatar_split_clause,[],[f203,f1447,f950]) ).
fof(f1926,plain,
( ~ spl74_98
| ~ spl74_212 ),
inference(avatar_split_clause,[],[f195,f1519,f954]) ).
fof(f1932,plain,
( ~ spl74_99
| ~ spl74_239 ),
inference(avatar_split_clause,[],[f191,f1687,f958]) ).
fof(f1936,plain,
spl74_130,
inference(avatar_split_clause,[],[f165,f1087]) ).
fof(f1937,plain,
spl74_171,
inference(avatar_split_clause,[],[f166,f1297]) ).
fof(f1938,plain,
spl74_163,
inference(avatar_split_clause,[],[f167,f1256]) ).
fof(f1939,plain,
spl74_155,
inference(avatar_split_clause,[],[f168,f1215]) ).
fof(f1940,plain,
spl74_147,
inference(avatar_split_clause,[],[f169,f1174]) ).
fof(f1941,plain,
spl74_158,
inference(avatar_split_clause,[],[f170,f1230]) ).
fof(f1942,plain,
spl74_182,
inference(avatar_split_clause,[],[f171,f1356]) ).
fof(f1943,plain,
spl74_207,
inference(avatar_split_clause,[],[f172,f1492]) ).
fof(f1944,plain,
spl74_180,
inference(avatar_split_clause,[],[f173,f1345]) ).
fof(f1945,plain,
spl74_195,
inference(avatar_split_clause,[],[f174,f1426]) ).
fof(f1946,plain,
spl74_141,
inference(avatar_split_clause,[],[f175,f1143]) ).
fof(f1947,plain,
spl74_176,
inference(avatar_split_clause,[],[f176,f1323]) ).
fof(f1948,plain,
spl74_220,
inference(avatar_split_clause,[],[f177,f1569]) ).
fof(f1949,plain,
spl74_233,
inference(avatar_split_clause,[],[f178,f1647]) ).
fof(f1950,plain,
spl74_229,
inference(avatar_split_clause,[],[f179,f1622]) ).
fof(f1951,plain,
spl74_169,
inference(avatar_split_clause,[],[f180,f1286]) ).
fof(f1952,plain,
spl74_191,
inference(avatar_split_clause,[],[f181,f1404]) ).
fof(f1953,plain,
spl74_216,
inference(avatar_split_clause,[],[f182,f1544]) ).
fof(f1954,plain,
spl74_244,
inference(avatar_split_clause,[],[f183,f1726]) ).
fof(f1955,plain,
spl74_237,
inference(avatar_split_clause,[],[f184,f1674]) ).
fof(f1956,plain,
spl74_152,
inference(avatar_split_clause,[],[f185,f1199]) ).
fof(f1957,plain,
spl74_199,
inference(avatar_split_clause,[],[f186,f1447]) ).
fof(f1958,plain,
spl74_212,
inference(avatar_split_clause,[],[f187,f1519]) ).
fof(f1959,plain,
spl74_239,
inference(avatar_split_clause,[],[f188,f1687]) ).
fof(f1960,plain,
spl74_129,
inference(avatar_split_clause,[],[f189,f1082]) ).
fof(f1961,plain,
( e4 != op(e4,e4)
| spl74_1
| ~ spl74_130 ),
inference(superposition,[],[f568,f1088]) ).
fof(f1962,plain,
( $false
| spl74_1
| ~ spl74_130 ),
inference(forward_subsumption_resolution,[],[f1961,f1088]) ).
fof(f1963,plain,
( spl74_1
| ~ spl74_130 ),
inference(avatar_contradiction_clause,[],[f1962]) ).
fof(f1965,plain,
( e4 != op(e1,op(e4,e3))
| spl74_2
| ~ spl74_158 ),
inference(superposition,[],[f572,f1231]) ).
fof(f1966,plain,
( e4 != op(e1,e0)
| spl74_2
| ~ spl74_158
| ~ spl74_171 ),
inference(superposition,[],[f1965,f1298]) ).
fof(f1969,plain,
( ~ spl74_237
| spl74_2
| ~ spl74_158
| ~ spl74_171 ),
inference(avatar_split_clause,[],[f1966,f1297,f1230,f570,f1674]) ).
fof(f1971,plain,
( e4 != op(op(e2,e4),e1)
| spl74_3
| ~ spl74_163 ),
inference(forward_demodulation,[],[f576,f1257]) ).
fof(f1973,plain,
( e4 != op(e3,e1)
| spl74_3
| ~ spl74_141
| ~ spl74_163 ),
inference(forward_demodulation,[],[f1971,f1144]) ).
fof(f1975,plain,
( ~ spl74_180
| spl74_3
| ~ spl74_141
| ~ spl74_163 ),
inference(avatar_split_clause,[],[f1973,f1256,f1143,f574,f1345]) ).
fof(f1977,plain,
( e4 != op(op(e1,e4),e2)
| spl74_4
| ~ spl74_155 ),
inference(forward_demodulation,[],[f580,f1216]) ).
fof(f1979,plain,
( e4 != op(e0,e2)
| spl74_4
| ~ spl74_155
| ~ spl74_169 ),
inference(forward_demodulation,[],[f1977,f1287]) ).
fof(f1981,plain,
( ~ spl74_212
| spl74_4
| ~ spl74_155
| ~ spl74_169 ),
inference(avatar_split_clause,[],[f1979,f1286,f1215,f578,f1519]) ).
fof(f1983,plain,
( e4 != op(op(e0,e4),e3)
| spl74_5
| ~ spl74_147 ),
inference(forward_demodulation,[],[f584,f1175]) ).
fof(f1985,plain,
( e4 != op(e2,e3)
| spl74_5
| ~ spl74_147
| ~ spl74_152 ),
inference(forward_demodulation,[],[f1983,f1200]) ).
fof(f1987,plain,
( ~ spl74_176
| spl74_5
| ~ spl74_147
| ~ spl74_152 ),
inference(avatar_split_clause,[],[f1985,f1199,f1174,f582,f1323]) ).
fof(f1989,plain,
( e3 != op(op(e4,e3),e1)
| spl74_6
| ~ spl74_158 ),
inference(forward_demodulation,[],[f588,f1231]) ).
fof(f1991,plain,
( e3 != op(e0,e1)
| spl74_6
| ~ spl74_158
| ~ spl74_171 ),
inference(forward_demodulation,[],[f1989,f1298]) ).
fof(f1993,plain,
( ~ spl74_239
| spl74_6
| ~ spl74_158
| ~ spl74_171 ),
inference(avatar_split_clause,[],[f1991,f1297,f1230,f586,f1687]) ).
fof(f1997,plain,
( e3 != op(e3,e3)
| spl74_7
| ~ spl74_182 ),
inference(superposition,[],[f592,f1357]) ).
fof(f1998,plain,
( $false
| spl74_7
| ~ spl74_182 ),
inference(forward_subsumption_resolution,[],[f1997,f1357]) ).
fof(f1999,plain,
( spl74_7
| ~ spl74_182 ),
inference(avatar_contradiction_clause,[],[f1998]) ).
fof(f2001,plain,
( e3 != op(e4,op(e3,e2))
| spl74_8
| ~ spl74_176 ),
inference(forward_demodulation,[],[f596,f1324]) ).
fof(f2002,plain,
( e3 != op(e4,e0)
| spl74_8
| ~ spl74_176
| ~ spl74_207 ),
inference(superposition,[],[f2001,f1493]) ).
fof(f2003,plain,
( $false
| spl74_8
| ~ spl74_147
| ~ spl74_176
| ~ spl74_207 ),
inference(forward_subsumption_resolution,[],[f2002,f1175]) ).
fof(f2004,plain,
( spl74_8
| ~ spl74_147
| ~ spl74_176
| ~ spl74_207 ),
inference(avatar_contradiction_clause,[],[f2003]) ).
fof(f2006,plain,
( e3 != op(op(e1,e3),e4)
| spl74_9
| ~ spl74_180 ),
inference(forward_demodulation,[],[f600,f1346]) ).
fof(f2008,plain,
( e3 != op(e2,e4)
| spl74_9
| ~ spl74_180
| ~ spl74_191 ),
inference(forward_demodulation,[],[f2006,f1405]) ).
fof(f2009,plain,
( $false
| spl74_9
| ~ spl74_141
| ~ spl74_180
| ~ spl74_191 ),
inference(forward_subsumption_resolution,[],[f2008,f1144]) ).
fof(f2010,plain,
( spl74_9
| ~ spl74_141
| ~ spl74_180
| ~ spl74_191 ),
inference(avatar_contradiction_clause,[],[f2009]) ).
fof(f2012,plain,
( e3 != op(op(e0,e3),e2)
| spl74_10
| ~ spl74_195 ),
inference(forward_demodulation,[],[f604,f1427]) ).
fof(f2014,plain,
( e3 != op(e1,e2)
| spl74_10
| ~ spl74_195
| ~ spl74_199 ),
inference(forward_demodulation,[],[f2012,f1448]) ).
fof(f2015,plain,
( ~ spl74_216
| spl74_10
| ~ spl74_195
| ~ spl74_199 ),
inference(avatar_split_clause,[],[f2014,f1447,f1426,f602,f1544]) ).
fof(f2017,plain,
( e2 != op(op(e4,e2),e3)
| spl74_11
| ~ spl74_141 ),
inference(forward_demodulation,[],[f608,f1144]) ).
fof(f2019,plain,
( e2 != op(e1,e3)
| spl74_11
| ~ spl74_141
| ~ spl74_163 ),
inference(forward_demodulation,[],[f2017,f1257]) ).
fof(f2021,plain,
( $false
| spl74_11
| ~ spl74_141
| ~ spl74_163
| ~ spl74_191 ),
inference(forward_subsumption_resolution,[],[f2019,f1405]) ).
fof(f2022,plain,
( spl74_11
| ~ spl74_141
| ~ spl74_163
| ~ spl74_191 ),
inference(avatar_contradiction_clause,[],[f2021]) ).
fof(f2024,plain,
( e2 != op(op(e3,e2),e4)
| spl74_12
| ~ spl74_176 ),
inference(forward_demodulation,[],[f612,f1324]) ).
fof(f2026,plain,
( e2 != op(e0,e4)
| spl74_12
| ~ spl74_176
| ~ spl74_207 ),
inference(forward_demodulation,[],[f2024,f1493]) ).
fof(f2027,plain,
( $false
| spl74_12
| ~ spl74_152
| ~ spl74_176
| ~ spl74_207 ),
inference(forward_subsumption_resolution,[],[f2026,f1200]) ).
fof(f2028,plain,
( spl74_12
| ~ spl74_152
| ~ spl74_176
| ~ spl74_207 ),
inference(avatar_contradiction_clause,[],[f2027]) ).
fof(f2031,plain,
( e2 != op(e2,e2)
| spl74_13
| ~ spl74_220 ),
inference(superposition,[],[f616,f1570]) ).
fof(f2032,plain,
( $false
| spl74_13
| ~ spl74_220 ),
inference(forward_subsumption_resolution,[],[f2031,f1570]) ).
fof(f2033,plain,
( spl74_13
| ~ spl74_220 ),
inference(avatar_contradiction_clause,[],[f2032]) ).
fof(f2035,plain,
( e2 != op(e3,op(e2,e1))
| spl74_14
| ~ spl74_216 ),
inference(forward_demodulation,[],[f620,f1545]) ).
fof(f2036,plain,
( e2 != op(e3,e0)
| spl74_14
| ~ spl74_216
| ~ spl74_233 ),
inference(superposition,[],[f2035,f1648]) ).
fof(f2037,plain,
( $false
| spl74_14
| ~ spl74_195
| ~ spl74_216
| ~ spl74_233 ),
inference(forward_subsumption_resolution,[],[f2036,f1427]) ).
fof(f2038,plain,
( spl74_14
| ~ spl74_195
| ~ spl74_216
| ~ spl74_233 ),
inference(avatar_contradiction_clause,[],[f2037]) ).
fof(f2040,plain,
( e2 != op(op(e0,e2),e1)
| spl74_15
| ~ spl74_229 ),
inference(forward_demodulation,[],[f624,f1623]) ).
fof(f2042,plain,
( e2 != op(e4,e1)
| spl74_15
| ~ spl74_212
| ~ spl74_229 ),
inference(forward_demodulation,[],[f2040,f1520]) ).
fof(f2043,plain,
( $false
| spl74_15
| ~ spl74_155
| ~ spl74_212
| ~ spl74_229 ),
inference(forward_subsumption_resolution,[],[f2042,f1216]) ).
fof(f2044,plain,
( spl74_15
| ~ spl74_155
| ~ spl74_212
| ~ spl74_229 ),
inference(avatar_contradiction_clause,[],[f2043]) ).
fof(f2046,plain,
( e1 != op(op(e4,e1),e0)
| spl74_16
| ~ spl74_169 ),
inference(forward_demodulation,[],[f628,f1287]) ).
fof(f2048,plain,
( e1 != op(e2,e0)
| spl74_16
| ~ spl74_155
| ~ spl74_169 ),
inference(forward_demodulation,[],[f2046,f1216]) ).
fof(f2049,plain,
( $false
| spl74_16
| ~ spl74_155
| ~ spl74_169
| ~ spl74_229 ),
inference(forward_subsumption_resolution,[],[f2048,f1623]) ).
fof(f2050,plain,
( spl74_16
| ~ spl74_155
| ~ spl74_169
| ~ spl74_229 ),
inference(avatar_contradiction_clause,[],[f2049]) ).
fof(f2052,plain,
( e1 != op(op(e3,e1),e2)
| spl74_17
| ~ spl74_191 ),
inference(forward_demodulation,[],[f632,f1405]) ).
fof(f2054,plain,
( e1 != op(e4,e2)
| spl74_17
| ~ spl74_180
| ~ spl74_191 ),
inference(forward_demodulation,[],[f2052,f1346]) ).
fof(f2055,plain,
( $false
| spl74_17
| ~ spl74_163
| ~ spl74_180
| ~ spl74_191 ),
inference(forward_subsumption_resolution,[],[f2054,f1257]) ).
fof(f2056,plain,
( spl74_17
| ~ spl74_163
| ~ spl74_180
| ~ spl74_191 ),
inference(avatar_contradiction_clause,[],[f2055]) ).
fof(f2058,plain,
( e1 != op(op(e2,e1),e3)
| spl74_18
| ~ spl74_216 ),
inference(forward_demodulation,[],[f636,f1545]) ).
fof(f2060,plain,
( e1 != op(e0,e3)
| spl74_18
| ~ spl74_216
| ~ spl74_233 ),
inference(forward_demodulation,[],[f2058,f1648]) ).
fof(f2061,plain,
( $false
| spl74_18
| ~ spl74_199
| ~ spl74_216
| ~ spl74_233 ),
inference(forward_subsumption_resolution,[],[f2060,f1448]) ).
fof(f2062,plain,
( spl74_18
| ~ spl74_199
| ~ spl74_216
| ~ spl74_233 ),
inference(avatar_contradiction_clause,[],[f2061]) ).
fof(f2065,plain,
( e1 != op(e1,e1)
| spl74_19
| ~ spl74_244 ),
inference(superposition,[],[f640,f1727]) ).
fof(f2066,plain,
( $false
| spl74_19
| ~ spl74_244 ),
inference(forward_subsumption_resolution,[],[f2065,f1727]) ).
fof(f2067,plain,
( spl74_19
| ~ spl74_244 ),
inference(avatar_contradiction_clause,[],[f2066]) ).
fof(f2069,plain,
( e1 != op(op(e0,e1),e4)
| spl74_20
| ~ spl74_237 ),
inference(forward_demodulation,[],[f644,f1675]) ).
fof(f2070,plain,
( e1 != op(e3,e4)
| spl74_20
| ~ spl74_237
| ~ spl74_239 ),
inference(forward_demodulation,[],[f2069,f1688]) ).
fof(f2071,plain,
( $false
| spl74_20
| ~ spl74_158
| ~ spl74_237
| ~ spl74_239 ),
inference(forward_subsumption_resolution,[],[f2070,f1231]) ).
fof(f2072,plain,
( spl74_20
| ~ spl74_158
| ~ spl74_237
| ~ spl74_239 ),
inference(avatar_contradiction_clause,[],[f2071]) ).
fof(f2074,plain,
( e0 != op(op(e4,e0),e2)
| spl74_21
| ~ spl74_152 ),
inference(forward_demodulation,[],[f648,f1200]) ).
fof(f2076,plain,
( e0 != op(e3,e2)
| spl74_21
| ~ spl74_147
| ~ spl74_152 ),
inference(forward_demodulation,[],[f2074,f1175]) ).
fof(f2077,plain,
( $false
| spl74_21
| ~ spl74_147
| ~ spl74_152
| ~ spl74_207 ),
inference(forward_subsumption_resolution,[],[f2076,f1493]) ).
fof(f2078,plain,
( spl74_21
| ~ spl74_147
| ~ spl74_152
| ~ spl74_207 ),
inference(avatar_contradiction_clause,[],[f2077]) ).
fof(f2080,plain,
( e0 != op(op(e3,e0),e1)
| spl74_22
| ~ spl74_199 ),
inference(forward_demodulation,[],[f652,f1448]) ).
fof(f2082,plain,
( e0 != op(e2,e1)
| spl74_22
| ~ spl74_195
| ~ spl74_199 ),
inference(forward_demodulation,[],[f2080,f1427]) ).
fof(f2083,plain,
( $false
| spl74_22
| ~ spl74_195
| ~ spl74_199
| ~ spl74_233 ),
inference(forward_subsumption_resolution,[],[f2082,f1648]) ).
fof(f2084,plain,
( spl74_22
| ~ spl74_195
| ~ spl74_199
| ~ spl74_233 ),
inference(avatar_contradiction_clause,[],[f2083]) ).
fof(f2086,plain,
( e0 != op(op(e2,e0),e4)
| spl74_23
| ~ spl74_212 ),
inference(forward_demodulation,[],[f656,f1520]) ).
fof(f2088,plain,
( e0 != op(e1,e4)
| spl74_23
| ~ spl74_212
| ~ spl74_229 ),
inference(forward_demodulation,[],[f2086,f1623]) ).
fof(f2089,plain,
( $false
| spl74_23
| ~ spl74_169
| ~ spl74_212
| ~ spl74_229 ),
inference(forward_subsumption_resolution,[],[f2088,f1287]) ).
fof(f2090,plain,
( spl74_23
| ~ spl74_169
| ~ spl74_212
| ~ spl74_229 ),
inference(avatar_contradiction_clause,[],[f2089]) ).
fof(f2092,plain,
( e0 != op(op(e1,e0),e3)
| spl74_24
| ~ spl74_239 ),
inference(forward_demodulation,[],[f660,f1688]) ).
fof(f2094,plain,
( e0 != op(e4,e3)
| spl74_24
| ~ spl74_237
| ~ spl74_239 ),
inference(forward_demodulation,[],[f2092,f1675]) ).
fof(f2095,plain,
( $false
| spl74_24
| ~ spl74_171
| ~ spl74_237
| ~ spl74_239 ),
inference(forward_subsumption_resolution,[],[f2094,f1298]) ).
fof(f2096,plain,
( spl74_24
| ~ spl74_171
| ~ spl74_237
| ~ spl74_239 ),
inference(avatar_contradiction_clause,[],[f2095]) ).
fof(f2098,plain,
( e0 != op(e0,e0)
| spl74_25
| ~ spl74_129 ),
inference(forward_demodulation,[],[f664,f1083]) ).
fof(f2100,plain,
( $false
| spl74_25
| ~ spl74_129 ),
inference(forward_subsumption_resolution,[],[f2098,f1083]) ).
fof(f2101,plain,
( spl74_25
| ~ spl74_129 ),
inference(avatar_contradiction_clause,[],[f2100]) ).
fof(f2103,plain,
( e4 != op(e4,e4)
| spl74_101
| ~ spl74_130 ),
inference(forward_demodulation,[],[f968,f1088]) ).
fof(f2104,plain,
( $false
| spl74_101
| ~ spl74_130 ),
inference(forward_subsumption_resolution,[],[f2103,f1088]) ).
fof(f2105,plain,
( spl74_101
| ~ spl74_130 ),
inference(avatar_contradiction_clause,[],[f2104]) ).
fof(f2107,plain,
( e3 != op(e4,e0)
| spl74_102
| ~ spl74_171 ),
inference(forward_demodulation,[],[f972,f1298]) ).
fof(f2108,plain,
( $false
| spl74_102
| ~ spl74_147
| ~ spl74_171 ),
inference(forward_subsumption_resolution,[],[f2107,f1175]) ).
fof(f2109,plain,
( spl74_102
| ~ spl74_147
| ~ spl74_171 ),
inference(avatar_contradiction_clause,[],[f2108]) ).
fof(f2111,plain,
( e2 != op(e4,e1)
| spl74_103
| ~ spl74_163 ),
inference(forward_demodulation,[],[f976,f1257]) ).
fof(f2112,plain,
( $false
| spl74_103
| ~ spl74_155
| ~ spl74_163 ),
inference(forward_subsumption_resolution,[],[f2111,f1216]) ).
fof(f2113,plain,
( spl74_103
| ~ spl74_155
| ~ spl74_163 ),
inference(avatar_contradiction_clause,[],[f2112]) ).
fof(f2115,plain,
( e1 != op(e4,e2)
| spl74_104
| ~ spl74_155 ),
inference(forward_demodulation,[],[f980,f1216]) ).
fof(f2116,plain,
( $false
| spl74_104
| ~ spl74_155
| ~ spl74_163 ),
inference(forward_subsumption_resolution,[],[f2115,f1257]) ).
fof(f2117,plain,
( spl74_104
| ~ spl74_155
| ~ spl74_163 ),
inference(avatar_contradiction_clause,[],[f2116]) ).
fof(f2119,plain,
( e0 != op(e4,e3)
| spl74_105
| ~ spl74_147 ),
inference(forward_demodulation,[],[f984,f1175]) ).
fof(f2120,plain,
( $false
| spl74_105
| ~ spl74_147
| ~ spl74_171 ),
inference(forward_subsumption_resolution,[],[f2119,f1298]) ).
fof(f2121,plain,
( spl74_105
| ~ spl74_147
| ~ spl74_171 ),
inference(avatar_contradiction_clause,[],[f2120]) ).
fof(f2123,plain,
( e4 != op(e3,e1)
| spl74_106
| ~ spl74_158 ),
inference(forward_demodulation,[],[f988,f1231]) ).
fof(f2124,plain,
( $false
| spl74_106
| ~ spl74_158
| ~ spl74_180 ),
inference(forward_subsumption_resolution,[],[f2123,f1346]) ).
fof(f2125,plain,
( spl74_106
| ~ spl74_158
| ~ spl74_180 ),
inference(avatar_contradiction_clause,[],[f2124]) ).
fof(f2127,plain,
( e3 != op(e3,e3)
| spl74_107
| ~ spl74_182 ),
inference(forward_demodulation,[],[f992,f1357]) ).
fof(f2128,plain,
( $false
| spl74_107
| ~ spl74_182 ),
inference(forward_subsumption_resolution,[],[f2127,f1357]) ).
fof(f2129,plain,
( spl74_107
| ~ spl74_182 ),
inference(avatar_contradiction_clause,[],[f2128]) ).
fof(f2131,plain,
( e2 != op(e3,e0)
| spl74_108
| ~ spl74_207 ),
inference(forward_demodulation,[],[f996,f1493]) ).
fof(f2132,plain,
( $false
| spl74_108
| ~ spl74_195
| ~ spl74_207 ),
inference(forward_subsumption_resolution,[],[f2131,f1427]) ).
fof(f2133,plain,
( spl74_108
| ~ spl74_195
| ~ spl74_207 ),
inference(avatar_contradiction_clause,[],[f2132]) ).
fof(f2135,plain,
( e1 != op(e3,e4)
| spl74_109
| ~ spl74_180 ),
inference(forward_demodulation,[],[f1000,f1346]) ).
fof(f2136,plain,
( $false
| spl74_109
| ~ spl74_158
| ~ spl74_180 ),
inference(forward_subsumption_resolution,[],[f2135,f1231]) ).
fof(f2137,plain,
( spl74_109
| ~ spl74_158
| ~ spl74_180 ),
inference(avatar_contradiction_clause,[],[f2136]) ).
fof(f2139,plain,
( e0 != op(e3,e2)
| spl74_110
| ~ spl74_195 ),
inference(forward_demodulation,[],[f1004,f1427]) ).
fof(f2140,plain,
( $false
| spl74_110
| ~ spl74_195
| ~ spl74_207 ),
inference(forward_subsumption_resolution,[],[f2139,f1493]) ).
fof(f2141,plain,
( spl74_110
| ~ spl74_195
| ~ spl74_207 ),
inference(avatar_contradiction_clause,[],[f2140]) ).
fof(f2143,plain,
( e4 != op(e2,e3)
| spl74_111
| ~ spl74_141 ),
inference(forward_demodulation,[],[f1008,f1144]) ).
fof(f2144,plain,
( $false
| spl74_111
| ~ spl74_141
| ~ spl74_176 ),
inference(forward_subsumption_resolution,[],[f2143,f1324]) ).
fof(f2145,plain,
( spl74_111
| ~ spl74_141
| ~ spl74_176 ),
inference(avatar_contradiction_clause,[],[f2144]) ).
fof(f2147,plain,
( e3 != op(e2,e4)
| spl74_112
| ~ spl74_176 ),
inference(forward_demodulation,[],[f1012,f1324]) ).
fof(f2148,plain,
( $false
| spl74_112
| ~ spl74_141
| ~ spl74_176 ),
inference(forward_subsumption_resolution,[],[f2147,f1144]) ).
fof(f2149,plain,
( spl74_112
| ~ spl74_141
| ~ spl74_176 ),
inference(avatar_contradiction_clause,[],[f2148]) ).
fof(f2151,plain,
( e2 != op(e2,e2)
| spl74_113
| ~ spl74_220 ),
inference(forward_demodulation,[],[f1016,f1570]) ).
fof(f2152,plain,
( $false
| spl74_113
| ~ spl74_220 ),
inference(forward_subsumption_resolution,[],[f2151,f1570]) ).
fof(f2153,plain,
( spl74_113
| ~ spl74_220 ),
inference(avatar_contradiction_clause,[],[f2152]) ).
fof(f2155,plain,
( e1 != op(e2,e0)
| spl74_114
| ~ spl74_233 ),
inference(forward_demodulation,[],[f1020,f1648]) ).
fof(f2156,plain,
( $false
| spl74_114
| ~ spl74_229
| ~ spl74_233 ),
inference(forward_subsumption_resolution,[],[f2155,f1623]) ).
fof(f2157,plain,
( spl74_114
| ~ spl74_229
| ~ spl74_233 ),
inference(avatar_contradiction_clause,[],[f2156]) ).
fof(f2159,plain,
( e0 != op(e2,e1)
| spl74_115
| ~ spl74_229 ),
inference(forward_demodulation,[],[f1024,f1623]) ).
fof(f2160,plain,
( $false
| spl74_115
| ~ spl74_229
| ~ spl74_233 ),
inference(forward_subsumption_resolution,[],[f2159,f1648]) ).
fof(f2161,plain,
( spl74_115
| ~ spl74_229
| ~ spl74_233 ),
inference(avatar_contradiction_clause,[],[f2160]) ).
fof(f2163,plain,
( e4 != op(e1,e0)
| spl74_116
| ~ spl74_169 ),
inference(forward_demodulation,[],[f1028,f1287]) ).
fof(f2164,plain,
( $false
| spl74_116
| ~ spl74_169
| ~ spl74_237 ),
inference(forward_subsumption_resolution,[],[f2163,f1675]) ).
fof(f2165,plain,
( spl74_116
| ~ spl74_169
| ~ spl74_237 ),
inference(avatar_contradiction_clause,[],[f2164]) ).
fof(f2167,plain,
( e3 != op(e1,e2)
| spl74_117
| ~ spl74_191 ),
inference(forward_demodulation,[],[f1032,f1405]) ).
fof(f2168,plain,
( $false
| spl74_117
| ~ spl74_191
| ~ spl74_216 ),
inference(forward_subsumption_resolution,[],[f2167,f1545]) ).
fof(f2169,plain,
( spl74_117
| ~ spl74_191
| ~ spl74_216 ),
inference(avatar_contradiction_clause,[],[f2168]) ).
fof(f2171,plain,
( e2 != op(e1,e3)
| spl74_118
| ~ spl74_216 ),
inference(forward_demodulation,[],[f1036,f1545]) ).
fof(f2172,plain,
( $false
| spl74_118
| ~ spl74_191
| ~ spl74_216 ),
inference(forward_subsumption_resolution,[],[f2171,f1405]) ).
fof(f2173,plain,
( spl74_118
| ~ spl74_191
| ~ spl74_216 ),
inference(avatar_contradiction_clause,[],[f2172]) ).
fof(f2175,plain,
( e1 != op(e1,e1)
| spl74_119
| ~ spl74_244 ),
inference(forward_demodulation,[],[f1040,f1727]) ).
fof(f2176,plain,
( $false
| spl74_119
| ~ spl74_244 ),
inference(forward_subsumption_resolution,[],[f2175,f1727]) ).
fof(f2177,plain,
( spl74_119
| ~ spl74_244 ),
inference(avatar_contradiction_clause,[],[f2176]) ).
fof(f2179,plain,
( e0 != op(e1,e4)
| spl74_120
| ~ spl74_237 ),
inference(forward_demodulation,[],[f1044,f1675]) ).
fof(f2180,plain,
( $false
| spl74_120
| ~ spl74_169
| ~ spl74_237 ),
inference(forward_subsumption_resolution,[],[f2179,f1287]) ).
fof(f2181,plain,
( spl74_120
| ~ spl74_169
| ~ spl74_237 ),
inference(avatar_contradiction_clause,[],[f2180]) ).
fof(f2183,plain,
( e4 != op(e0,e2)
| spl74_121
| ~ spl74_152 ),
inference(forward_demodulation,[],[f1048,f1200]) ).
fof(f2184,plain,
( $false
| spl74_121
| ~ spl74_152
| ~ spl74_212 ),
inference(forward_subsumption_resolution,[],[f2183,f1520]) ).
fof(f2185,plain,
( spl74_121
| ~ spl74_152
| ~ spl74_212 ),
inference(avatar_contradiction_clause,[],[f2184]) ).
fof(f2187,plain,
( e3 != op(e0,e1)
| spl74_122
| ~ spl74_199 ),
inference(forward_demodulation,[],[f1052,f1448]) ).
fof(f2188,plain,
( $false
| spl74_122
| ~ spl74_199
| ~ spl74_239 ),
inference(forward_subsumption_resolution,[],[f2187,f1688]) ).
fof(f2189,plain,
( spl74_122
| ~ spl74_199
| ~ spl74_239 ),
inference(avatar_contradiction_clause,[],[f2188]) ).
fof(f2191,plain,
( e2 != op(e0,e4)
| spl74_123
| ~ spl74_212 ),
inference(forward_demodulation,[],[f1056,f1520]) ).
fof(f2192,plain,
( $false
| spl74_123
| ~ spl74_152
| ~ spl74_212 ),
inference(forward_subsumption_resolution,[],[f2191,f1200]) ).
fof(f2193,plain,
( spl74_123
| ~ spl74_152
| ~ spl74_212 ),
inference(avatar_contradiction_clause,[],[f2192]) ).
fof(f2195,plain,
( e1 != op(e0,e3)
| spl74_124
| ~ spl74_239 ),
inference(forward_demodulation,[],[f1060,f1688]) ).
fof(f2196,plain,
( $false
| spl74_124
| ~ spl74_199
| ~ spl74_239 ),
inference(forward_subsumption_resolution,[],[f2195,f1448]) ).
fof(f2197,plain,
( spl74_124
| ~ spl74_199
| ~ spl74_239 ),
inference(avatar_contradiction_clause,[],[f2196]) ).
fof(f2199,plain,
( e0 != op(e0,e0)
| spl74_125
| ~ spl74_129 ),
inference(forward_demodulation,[],[f1064,f1083]) ).
fof(f2200,plain,
( $false
| spl74_125
| ~ spl74_129 ),
inference(forward_subsumption_resolution,[],[f2199,f1083]) ).
fof(f2201,plain,
( spl74_125
| ~ spl74_129 ),
inference(avatar_contradiction_clause,[],[f2200]) ).
cnf(s5,plain,
( ~ spl74_1
| ~ spl74_2
| ~ spl74_3
| ~ spl74_4
| ~ spl74_5
| ~ spl74_6
| ~ spl74_7
| ~ spl74_8
| ~ spl74_9
| ~ spl74_10
| ~ spl74_11
| ~ spl74_12
| ~ spl74_13
| ~ spl74_14
| ~ spl74_15
| ~ spl74_16
| ~ spl74_17
| ~ spl74_18
| ~ spl74_19
| ~ spl74_20
| ~ spl74_21
| ~ spl74_22
| ~ spl74_23
| ~ spl74_24
| ~ spl74_25
| spl74_26
| spl74_27
| spl74_28
| spl74_29
| spl74_30
| spl74_31
| spl74_32
| spl74_33
| spl74_34
| spl74_35
| spl74_36
| spl74_37
| spl74_38
| spl74_39
| spl74_40
| spl74_41
| spl74_42
| spl74_43
| spl74_44
| spl74_45
| spl74_46
| spl74_47
| spl74_48
| spl74_49
| spl74_50
| spl74_51
| spl74_52
| spl74_53
| spl74_54
| spl74_55
| spl74_56
| spl74_57
| spl74_58
| spl74_59
| spl74_60
| spl74_61
| spl74_62
| spl74_63
| spl74_64
| spl74_65
| spl74_66
| spl74_67
| spl74_68
| spl74_69
| spl74_70
| spl74_71
| spl74_72
| spl74_73
| spl74_74
| spl74_75
| spl74_76
| spl74_77
| spl74_78
| spl74_79
| spl74_80
| spl74_81
| spl74_82
| spl74_83
| spl74_84
| spl74_85
| spl74_86
| spl74_87
| spl74_88
| spl74_89
| spl74_90
| spl74_91
| spl74_92
| spl74_93
| spl74_94
| spl74_95
| spl74_96
| spl74_97
| spl74_98
| spl74_99
| ~ spl74_101
| ~ spl74_102
| ~ spl74_103
| ~ spl74_104
| ~ spl74_105
| ~ spl74_106
| ~ spl74_107
| ~ spl74_108
| ~ spl74_109
| ~ spl74_110
| ~ spl74_111
| ~ spl74_112
| ~ spl74_113
| ~ spl74_114
| ~ spl74_115
| ~ spl74_116
| ~ spl74_117
| ~ spl74_118
| ~ spl74_119
| ~ spl74_120
| ~ spl74_121
| ~ spl74_122
| ~ spl74_123
| ~ spl74_124
| ~ spl74_125
| ~ spl74_129 ),
inference(sat_conversion,[],[f1085]) ).
cnf(s6,plain,
( ~ spl74_26
| ~ spl74_130 ),
inference(sat_conversion,[],[f1090]) ).
cnf(s11,plain,
( ~ spl74_27
| ~ spl74_130 ),
inference(sat_conversion,[],[f1111]) ).
cnf(s18,plain,
( ~ spl74_28
| ~ spl74_141 ),
inference(sat_conversion,[],[f1146]) ).
cnf(s25,plain,
( ~ spl74_29
| ~ spl74_147 ),
inference(sat_conversion,[],[f1177]) ).
cnf(s30,plain,
( ~ spl74_30
| ~ spl74_152 ),
inference(sat_conversion,[],[f1202]) ).
cnf(s34,plain,
( ~ spl74_31
| ~ spl74_155 ),
inference(sat_conversion,[],[f1218]) ).
cnf(s37,plain,
( ~ spl74_32
| ~ spl74_158 ),
inference(sat_conversion,[],[f1233]) ).
cnf(s43,plain,
( ~ spl74_33
| ~ spl74_163 ),
inference(sat_conversion,[],[f1259]) ).
cnf(s49,plain,
( ~ spl74_34
| ~ spl74_169 ),
inference(sat_conversion,[],[f1289]) ).
cnf(s52,plain,
( ~ spl74_35
| ~ spl74_171 ),
inference(sat_conversion,[],[f1300]) ).
cnf(s58,plain,
( ~ spl74_36
| ~ spl74_176 ),
inference(sat_conversion,[],[f1326]) ).
cnf(s64,plain,
( ~ spl74_37
| ~ spl74_180 ),
inference(sat_conversion,[],[f1348]) ).
cnf(s67,plain,
( ~ spl74_38
| ~ spl74_182 ),
inference(sat_conversion,[],[f1359]) ).
cnf(s72,plain,
( ~ spl74_39
| ~ spl74_182 ),
inference(sat_conversion,[],[f1376]) ).
cnf(s79,plain,
( ~ spl74_40
| ~ spl74_191 ),
inference(sat_conversion,[],[f1407]) ).
cnf(s85,plain,
( ~ spl74_41
| ~ spl74_195 ),
inference(sat_conversion,[],[f1429]) ).
cnf(s90,plain,
( ~ spl74_42
| ~ spl74_199 ),
inference(sat_conversion,[],[f1450]) ).
cnf(s91,plain,
( ~ spl74_43
| ~ spl74_158 ),
inference(sat_conversion,[],[f1451]) ).
cnf(s96,plain,
( ~ spl74_44
| ~ spl74_171 ),
inference(sat_conversion,[],[f1468]) ).
cnf(s103,plain,
( ~ spl74_45
| ~ spl74_207 ),
inference(sat_conversion,[],[f1495]) ).
cnf(s110,plain,
( ~ spl74_46
| ~ spl74_212 ),
inference(sat_conversion,[],[f1522]) ).
cnf(s112,plain,
( ~ spl74_47
| ~ spl74_176 ),
inference(sat_conversion,[],[f1524]) ).
cnf(s119,plain,
( ~ spl74_48
| ~ spl74_216 ),
inference(sat_conversion,[],[f1547]) ).
cnf(s121,plain,
( ~ spl74_49
| ~ spl74_141 ),
inference(sat_conversion,[],[f1553]) ).
cnf(s128,plain,
( ~ spl74_50
| ~ spl74_220 ),
inference(sat_conversion,[],[f1572]) ).
cnf(s133,plain,
( ~ spl74_51
| ~ spl74_220 ),
inference(sat_conversion,[],[f1585]) ).
cnf(s136,plain,
( ~ spl74_52
| ~ spl74_163 ),
inference(sat_conversion,[],[f1596]) ).
cnf(s145,plain,
( ~ spl74_53
| ~ spl74_229 ),
inference(sat_conversion,[],[f1625]) ).
cnf(s147,plain,
( ~ spl74_54
| ~ spl74_207 ),
inference(sat_conversion,[],[f1627]) ).
cnf(s154,plain,
( ~ spl74_55
| ~ spl74_233 ),
inference(sat_conversion,[],[f1650]) ).
cnf(s157,plain,
( ~ spl74_56
| ~ spl74_180 ),
inference(sat_conversion,[],[f1657]) ).
cnf(s165,plain,
( ~ spl74_57
| ~ spl74_237 ),
inference(sat_conversion,[],[f1677]) ).
cnf(s170,plain,
( ~ spl74_58
| ~ spl74_239 ),
inference(sat_conversion,[],[f1690]) ).
cnf(s173,plain,
( ~ spl74_59
| ~ spl74_216 ),
inference(sat_conversion,[],[f1693]) ).
cnf(s176,plain,
( ~ spl74_60
| ~ spl74_155 ),
inference(sat_conversion,[],[f1700]) ).
cnf(s182,plain,
( ~ spl74_61
| ~ spl74_191 ),
inference(sat_conversion,[],[f1714]) ).
cnf(s189,plain,
( ~ spl74_62
| ~ spl74_244 ),
inference(sat_conversion,[],[f1729]) ).
cnf(s194,plain,
( ~ spl74_63
| ~ spl74_244 ),
inference(sat_conversion,[],[f1738]) ).
cnf(s198,plain,
( ~ spl74_64
| ~ spl74_233 ),
inference(sat_conversion,[],[f1746]) ).
cnf(s201,plain,
( ~ spl74_65
| ~ spl74_169 ),
inference(sat_conversion,[],[f1757]) ).
cnf(s209,plain,
( ~ spl74_66
| ~ spl74_237 ),
inference(sat_conversion,[],[f1769]) ).
cnf(s213,plain,
( ~ spl74_67
| ~ spl74_212 ),
inference(sat_conversion,[],[f1773]) ).
cnf(s216,plain,
( ~ spl74_68
| ~ spl74_147 ),
inference(sat_conversion,[],[f1776]) ).
cnf(s224,plain,
( ~ spl74_69
| ~ spl74_239 ),
inference(sat_conversion,[],[f1784]) ).
cnf(s227,plain,
( ~ spl74_70
| ~ spl74_195 ),
inference(sat_conversion,[],[f1787]) ).
cnf(s231,plain,
( ~ spl74_71
| ~ spl74_152 ),
inference(sat_conversion,[],[f1791]) ).
cnf(s238,plain,
( ~ spl74_72
| ~ spl74_229 ),
inference(sat_conversion,[],[f1798]) ).
cnf(s242,plain,
( ~ spl74_73
| ~ spl74_199 ),
inference(sat_conversion,[],[f1802]) ).
cnf(s250,plain,
( ~ spl74_74
| ~ spl74_129 ),
inference(sat_conversion,[],[f1810]) ).
cnf(s255,plain,
( ~ spl74_75
| ~ spl74_129 ),
inference(sat_conversion,[],[f1815]) ).
cnf(s256,plain,
( ~ spl74_76
| ~ spl74_130 ),
inference(sat_conversion,[],[f1816]) ).
cnf(s265,plain,
( ~ spl74_77
| ~ spl74_171 ),
inference(sat_conversion,[],[f1825]) ).
cnf(s269,plain,
( ~ spl74_78
| ~ spl74_163 ),
inference(sat_conversion,[],[f1829]) ).
cnf(s273,plain,
( ~ spl74_79
| ~ spl74_155 ),
inference(sat_conversion,[],[f1833]) ).
cnf(s277,plain,
( ~ spl74_80
| ~ spl74_147 ),
inference(sat_conversion,[],[f1837]) ).
cnf(s284,plain,
( ~ spl74_81
| ~ spl74_158 ),
inference(sat_conversion,[],[f1844]) ).
cnf(s287,plain,
( ~ spl74_82
| ~ spl74_182 ),
inference(sat_conversion,[],[f1847]) ).
cnf(s295,plain,
( ~ spl74_83
| ~ spl74_207 ),
inference(sat_conversion,[],[f1855]) ).
cnf(s296,plain,
( ~ spl74_84
| ~ spl74_180 ),
inference(sat_conversion,[],[f1856]) ).
cnf(s303,plain,
( ~ spl74_85
| ~ spl74_195 ),
inference(sat_conversion,[],[f1863]) ).
cnf(s307,plain,
( ~ spl74_86
| ~ spl74_141 ),
inference(sat_conversion,[],[f1867]) ).
cnf(s311,plain,
( ~ spl74_87
| ~ spl74_176 ),
inference(sat_conversion,[],[f1871]) ).
cnf(s318,plain,
( ~ spl74_88
| ~ spl74_220 ),
inference(sat_conversion,[],[f1878]) ).
cnf(s325,plain,
( ~ spl74_89
| ~ spl74_233 ),
inference(sat_conversion,[],[f1885]) ).
cnf(s329,plain,
( ~ spl74_90
| ~ spl74_229 ),
inference(sat_conversion,[],[f1889]) ).
cnf(s335,plain,
( ~ spl74_91
| ~ spl74_169 ),
inference(sat_conversion,[],[f1895]) ).
cnf(s338,plain,
( ~ spl74_92
| ~ spl74_191 ),
inference(sat_conversion,[],[f1898]) ).
cnf(s342,plain,
( ~ spl74_93
| ~ spl74_216 ),
inference(sat_conversion,[],[f1902]) ).
cnf(s349,plain,
( ~ spl74_94
| ~ spl74_244 ),
inference(sat_conversion,[],[f1909]) ).
cnf(s351,plain,
( ~ spl74_95
| ~ spl74_237 ),
inference(sat_conversion,[],[f1911]) ).
cnf(s358,plain,
( ~ spl74_96
| ~ spl74_152 ),
inference(sat_conversion,[],[f1918]) ).
cnf(s364,plain,
( ~ spl74_97
| ~ spl74_199 ),
inference(sat_conversion,[],[f1924]) ).
cnf(s366,plain,
( ~ spl74_98
| ~ spl74_212 ),
inference(sat_conversion,[],[f1926]) ).
cnf(s372,plain,
( ~ spl74_99
| ~ spl74_239 ),
inference(sat_conversion,[],[f1932]) ).
cnf(s376,plain,
spl74_130,
inference(sat_conversion,[],[f1936]) ).
cnf(s377,plain,
spl74_171,
inference(sat_conversion,[],[f1937]) ).
cnf(s378,plain,
spl74_163,
inference(sat_conversion,[],[f1938]) ).
cnf(s379,plain,
spl74_155,
inference(sat_conversion,[],[f1939]) ).
cnf(s380,plain,
spl74_147,
inference(sat_conversion,[],[f1940]) ).
cnf(s381,plain,
spl74_158,
inference(sat_conversion,[],[f1941]) ).
cnf(s382,plain,
spl74_182,
inference(sat_conversion,[],[f1942]) ).
cnf(s383,plain,
spl74_207,
inference(sat_conversion,[],[f1943]) ).
cnf(s384,plain,
spl74_180,
inference(sat_conversion,[],[f1944]) ).
cnf(s385,plain,
spl74_195,
inference(sat_conversion,[],[f1945]) ).
cnf(s386,plain,
spl74_141,
inference(sat_conversion,[],[f1946]) ).
cnf(s387,plain,
spl74_176,
inference(sat_conversion,[],[f1947]) ).
cnf(s388,plain,
spl74_220,
inference(sat_conversion,[],[f1948]) ).
cnf(s389,plain,
spl74_233,
inference(sat_conversion,[],[f1949]) ).
cnf(s390,plain,
spl74_229,
inference(sat_conversion,[],[f1950]) ).
cnf(s391,plain,
spl74_169,
inference(sat_conversion,[],[f1951]) ).
cnf(s392,plain,
spl74_191,
inference(sat_conversion,[],[f1952]) ).
cnf(s393,plain,
spl74_216,
inference(sat_conversion,[],[f1953]) ).
cnf(s394,plain,
spl74_244,
inference(sat_conversion,[],[f1954]) ).
cnf(s395,plain,
spl74_237,
inference(sat_conversion,[],[f1955]) ).
cnf(s396,plain,
spl74_152,
inference(sat_conversion,[],[f1956]) ).
cnf(s397,plain,
spl74_199,
inference(sat_conversion,[],[f1957]) ).
cnf(s398,plain,
spl74_212,
inference(sat_conversion,[],[f1958]) ).
cnf(s399,plain,
spl74_239,
inference(sat_conversion,[],[f1959]) ).
cnf(s400,plain,
spl74_129,
inference(sat_conversion,[],[f1960]) ).
cnf(s401,plain,
( spl74_1
| ~ spl74_130 ),
inference(sat_conversion,[],[f1963]) ).
cnf(s402,plain,
( spl74_2
| ~ spl74_158
| ~ spl74_171
| ~ spl74_237 ),
inference(sat_conversion,[],[f1969]) ).
cnf(s405,plain,
( spl74_3
| ~ spl74_141
| ~ spl74_163
| ~ spl74_180 ),
inference(sat_conversion,[],[f1975]) ).
cnf(s407,plain,
( spl74_4
| ~ spl74_155
| ~ spl74_169
| ~ spl74_212 ),
inference(sat_conversion,[],[f1981]) ).
cnf(s409,plain,
( spl74_5
| ~ spl74_147
| ~ spl74_152
| ~ spl74_176 ),
inference(sat_conversion,[],[f1987]) ).
cnf(s411,plain,
( spl74_6
| ~ spl74_158
| ~ spl74_171
| ~ spl74_239 ),
inference(sat_conversion,[],[f1993]) ).
cnf(s413,plain,
( spl74_7
| ~ spl74_182 ),
inference(sat_conversion,[],[f1999]) ).
cnf(s414,plain,
( spl74_8
| ~ spl74_147
| ~ spl74_176
| ~ spl74_207 ),
inference(sat_conversion,[],[f2004]) ).
cnf(s415,plain,
( spl74_9
| ~ spl74_141
| ~ spl74_180
| ~ spl74_191 ),
inference(sat_conversion,[],[f2010]) ).
cnf(s416,plain,
( spl74_10
| ~ spl74_195
| ~ spl74_199
| ~ spl74_216 ),
inference(sat_conversion,[],[f2015]) ).
cnf(s418,plain,
( spl74_11
| ~ spl74_141
| ~ spl74_163
| ~ spl74_191 ),
inference(sat_conversion,[],[f2022]) ).
cnf(s419,plain,
( spl74_12
| ~ spl74_152
| ~ spl74_176
| ~ spl74_207 ),
inference(sat_conversion,[],[f2028]) ).
cnf(s420,plain,
( spl74_13
| ~ spl74_220 ),
inference(sat_conversion,[],[f2033]) ).
cnf(s421,plain,
( spl74_14
| ~ spl74_195
| ~ spl74_216
| ~ spl74_233 ),
inference(sat_conversion,[],[f2038]) ).
cnf(s422,plain,
( spl74_15
| ~ spl74_155
| ~ spl74_212
| ~ spl74_229 ),
inference(sat_conversion,[],[f2044]) ).
cnf(s423,plain,
( spl74_16
| ~ spl74_155
| ~ spl74_169
| ~ spl74_229 ),
inference(sat_conversion,[],[f2050]) ).
cnf(s424,plain,
( spl74_17
| ~ spl74_163
| ~ spl74_180
| ~ spl74_191 ),
inference(sat_conversion,[],[f2056]) ).
cnf(s425,plain,
( spl74_18
| ~ spl74_199
| ~ spl74_216
| ~ spl74_233 ),
inference(sat_conversion,[],[f2062]) ).
cnf(s426,plain,
( spl74_19
| ~ spl74_244 ),
inference(sat_conversion,[],[f2067]) ).
cnf(s427,plain,
( spl74_20
| ~ spl74_158
| ~ spl74_237
| ~ spl74_239 ),
inference(sat_conversion,[],[f2072]) ).
cnf(s428,plain,
( spl74_21
| ~ spl74_147
| ~ spl74_152
| ~ spl74_207 ),
inference(sat_conversion,[],[f2078]) ).
cnf(s429,plain,
( spl74_22
| ~ spl74_195
| ~ spl74_199
| ~ spl74_233 ),
inference(sat_conversion,[],[f2084]) ).
cnf(s430,plain,
( spl74_23
| ~ spl74_169
| ~ spl74_212
| ~ spl74_229 ),
inference(sat_conversion,[],[f2090]) ).
cnf(s431,plain,
( spl74_24
| ~ spl74_171
| ~ spl74_237
| ~ spl74_239 ),
inference(sat_conversion,[],[f2096]) ).
cnf(s432,plain,
( spl74_25
| ~ spl74_129 ),
inference(sat_conversion,[],[f2101]) ).
cnf(s433,plain,
( spl74_101
| ~ spl74_130 ),
inference(sat_conversion,[],[f2105]) ).
cnf(s434,plain,
( spl74_102
| ~ spl74_147
| ~ spl74_171 ),
inference(sat_conversion,[],[f2109]) ).
cnf(s435,plain,
( spl74_103
| ~ spl74_155
| ~ spl74_163 ),
inference(sat_conversion,[],[f2113]) ).
cnf(s436,plain,
( spl74_104
| ~ spl74_155
| ~ spl74_163 ),
inference(sat_conversion,[],[f2117]) ).
cnf(s437,plain,
( spl74_105
| ~ spl74_147
| ~ spl74_171 ),
inference(sat_conversion,[],[f2121]) ).
cnf(s438,plain,
( spl74_106
| ~ spl74_158
| ~ spl74_180 ),
inference(sat_conversion,[],[f2125]) ).
cnf(s439,plain,
( spl74_107
| ~ spl74_182 ),
inference(sat_conversion,[],[f2129]) ).
cnf(s440,plain,
( spl74_108
| ~ spl74_195
| ~ spl74_207 ),
inference(sat_conversion,[],[f2133]) ).
cnf(s441,plain,
( spl74_109
| ~ spl74_158
| ~ spl74_180 ),
inference(sat_conversion,[],[f2137]) ).
cnf(s442,plain,
( spl74_110
| ~ spl74_195
| ~ spl74_207 ),
inference(sat_conversion,[],[f2141]) ).
cnf(s443,plain,
( spl74_111
| ~ spl74_141
| ~ spl74_176 ),
inference(sat_conversion,[],[f2145]) ).
cnf(s444,plain,
( spl74_112
| ~ spl74_141
| ~ spl74_176 ),
inference(sat_conversion,[],[f2149]) ).
cnf(s445,plain,
( spl74_113
| ~ spl74_220 ),
inference(sat_conversion,[],[f2153]) ).
cnf(s446,plain,
( spl74_114
| ~ spl74_229
| ~ spl74_233 ),
inference(sat_conversion,[],[f2157]) ).
cnf(s447,plain,
( spl74_115
| ~ spl74_229
| ~ spl74_233 ),
inference(sat_conversion,[],[f2161]) ).
cnf(s448,plain,
( spl74_116
| ~ spl74_169
| ~ spl74_237 ),
inference(sat_conversion,[],[f2165]) ).
cnf(s449,plain,
( spl74_117
| ~ spl74_191
| ~ spl74_216 ),
inference(sat_conversion,[],[f2169]) ).
cnf(s450,plain,
( spl74_118
| ~ spl74_191
| ~ spl74_216 ),
inference(sat_conversion,[],[f2173]) ).
cnf(s451,plain,
( spl74_119
| ~ spl74_244 ),
inference(sat_conversion,[],[f2177]) ).
cnf(s452,plain,
( spl74_120
| ~ spl74_169
| ~ spl74_237 ),
inference(sat_conversion,[],[f2181]) ).
cnf(s453,plain,
( spl74_121
| ~ spl74_152
| ~ spl74_212 ),
inference(sat_conversion,[],[f2185]) ).
cnf(s454,plain,
( spl74_122
| ~ spl74_199
| ~ spl74_239 ),
inference(sat_conversion,[],[f2189]) ).
cnf(s455,plain,
( spl74_123
| ~ spl74_152
| ~ spl74_212 ),
inference(sat_conversion,[],[f2193]) ).
cnf(s456,plain,
( spl74_124
| ~ spl74_199
| ~ spl74_239 ),
inference(sat_conversion,[],[f2197]) ).
cnf(s457,plain,
( spl74_125
| ~ spl74_129 ),
inference(sat_conversion,[],[f2201]) ).
cnf(s458,plain,
spl74_125,
inference(rat,[],[s457,s400]) ).
cnf(s459,plain,
spl74_25,
inference(rat,[],[s432,s400]) ).
cnf(s460,plain,
spl74_124,
inference(rat,[],[s456,s399,s397]) ).
cnf(s461,plain,
spl74_122,
inference(rat,[],[s454,s399,s397]) ).
cnf(s462,plain,
spl74_123,
inference(rat,[],[s455,s398,s396]) ).
cnf(s463,plain,
spl74_121,
inference(rat,[],[s453,s398,s396]) ).
cnf(s464,plain,
spl74_119,
inference(rat,[],[s451,s394]) ).
cnf(s465,plain,
spl74_19,
inference(rat,[],[s426,s394]) ).
cnf(s466,plain,
spl74_118,
inference(rat,[],[s450,s393,s392]) ).
cnf(s467,plain,
spl74_117,
inference(rat,[],[s449,s393,s392]) ).
cnf(s468,plain,
spl74_120,
inference(rat,[],[s452,s395,s391]) ).
cnf(s469,plain,
spl74_116,
inference(rat,[],[s448,s395,s391]) ).
cnf(s470,plain,
spl74_23,
inference(rat,[],[s430,s391,s398,s390]) ).
cnf(s471,plain,
spl74_18,
inference(rat,[],[s425,s393,s397,s389]) ).
cnf(s472,plain,
spl74_115,
inference(rat,[],[s447,s390,s389]) ).
cnf(s473,plain,
spl74_114,
inference(rat,[],[s446,s390,s389]) ).
cnf(s474,plain,
spl74_113,
inference(rat,[],[s445,s388]) ).
cnf(s475,plain,
spl74_13,
inference(rat,[],[s420,s388]) ).
cnf(s476,plain,
spl74_112,
inference(rat,[],[s444,s387,s386]) ).
cnf(s477,plain,
spl74_111,
inference(rat,[],[s443,s387,s386]) ).
cnf(s478,plain,
spl74_22,
inference(rat,[],[s429,s389,s397,s385]) ).
cnf(s479,plain,
spl74_14,
inference(rat,[],[s421,s389,s393,s385]) ).
cnf(s480,plain,
spl74_10,
inference(rat,[],[s416,s393,s397,s385]) ).
cnf(s481,plain,
spl74_9,
inference(rat,[],[s415,s392,s386,s384]) ).
cnf(s482,plain,
spl74_12,
inference(rat,[],[s419,s387,s396,s383]) ).
cnf(s483,plain,
spl74_110,
inference(rat,[],[s442,s385,s383]) ).
cnf(s484,plain,
spl74_108,
inference(rat,[],[s440,s385,s383]) ).
cnf(s485,plain,
spl74_107,
inference(rat,[],[s439,s382]) ).
cnf(s486,plain,
spl74_7,
inference(rat,[],[s413,s382]) ).
cnf(s487,plain,
spl74_109,
inference(rat,[],[s441,s384,s381]) ).
cnf(s488,plain,
spl74_106,
inference(rat,[],[s438,s384,s381]) ).
cnf(s489,plain,
spl74_20,
inference(rat,[],[s427,s399,s395,s381]) ).
cnf(s490,plain,
spl74_21,
inference(rat,[],[s428,s383,s396,s380]) ).
cnf(s491,plain,
spl74_8,
inference(rat,[],[s414,s383,s387,s380]) ).
cnf(s492,plain,
spl74_5,
inference(rat,[],[s409,s387,s396,s380]) ).
cnf(s493,plain,
spl74_16,
inference(rat,[],[s423,s390,s391,s379]) ).
cnf(s494,plain,
spl74_15,
inference(rat,[],[s422,s390,s398,s379]) ).
cnf(s495,plain,
spl74_4,
inference(rat,[],[s407,s398,s391,s379]) ).
cnf(s496,plain,
spl74_17,
inference(rat,[],[s424,s392,s384,s378]) ).
cnf(s497,plain,
spl74_11,
inference(rat,[],[s418,s392,s386,s378]) ).
cnf(s498,plain,
spl74_3,
inference(rat,[],[s405,s384,s386,s378]) ).
cnf(s499,plain,
spl74_104,
inference(rat,[],[s436,s379,s378]) ).
cnf(s500,plain,
spl74_103,
inference(rat,[],[s435,s379,s378]) ).
cnf(s501,plain,
spl74_24,
inference(rat,[],[s431,s399,s395,s377]) ).
cnf(s502,plain,
spl74_6,
inference(rat,[],[s411,s399,s381,s377]) ).
cnf(s503,plain,
spl74_2,
inference(rat,[],[s402,s395,s381,s377]) ).
cnf(s504,plain,
spl74_105,
inference(rat,[],[s437,s380,s377]) ).
cnf(s505,plain,
spl74_102,
inference(rat,[],[s434,s380,s377]) ).
cnf(s506,plain,
spl74_101,
inference(rat,[],[s433,s376]) ).
cnf(s507,plain,
spl74_1,
inference(rat,[],[s401,s376]) ).
cnf(s508,plain,
~ spl74_99,
inference(rat,[],[s372,s399]) ).
cnf(s509,plain,
~ spl74_98,
inference(rat,[],[s366,s398]) ).
cnf(s510,plain,
~ spl74_97,
inference(rat,[],[s364,s397]) ).
cnf(s511,plain,
~ spl74_96,
inference(rat,[],[s358,s396]) ).
cnf(s512,plain,
~ spl74_95,
inference(rat,[],[s351,s395]) ).
cnf(s513,plain,
~ spl74_94,
inference(rat,[],[s349,s394]) ).
cnf(s514,plain,
~ spl74_93,
inference(rat,[],[s342,s393]) ).
cnf(s515,plain,
~ spl74_92,
inference(rat,[],[s338,s392]) ).
cnf(s516,plain,
~ spl74_91,
inference(rat,[],[s335,s391]) ).
cnf(s517,plain,
~ spl74_90,
inference(rat,[],[s329,s390]) ).
cnf(s518,plain,
~ spl74_89,
inference(rat,[],[s325,s389]) ).
cnf(s519,plain,
~ spl74_88,
inference(rat,[],[s318,s388]) ).
cnf(s520,plain,
~ spl74_87,
inference(rat,[],[s311,s387]) ).
cnf(s521,plain,
~ spl74_86,
inference(rat,[],[s307,s386]) ).
cnf(s522,plain,
~ spl74_85,
inference(rat,[],[s303,s385]) ).
cnf(s523,plain,
~ spl74_84,
inference(rat,[],[s296,s384]) ).
cnf(s524,plain,
~ spl74_83,
inference(rat,[],[s295,s383]) ).
cnf(s525,plain,
~ spl74_82,
inference(rat,[],[s287,s382]) ).
cnf(s526,plain,
~ spl74_81,
inference(rat,[],[s284,s381]) ).
cnf(s527,plain,
~ spl74_80,
inference(rat,[],[s277,s380]) ).
cnf(s528,plain,
~ spl74_79,
inference(rat,[],[s273,s379]) ).
cnf(s529,plain,
~ spl74_78,
inference(rat,[],[s269,s378]) ).
cnf(s530,plain,
~ spl74_77,
inference(rat,[],[s265,s377]) ).
cnf(s531,plain,
~ spl74_76,
inference(rat,[],[s256,s376]) ).
cnf(s532,plain,
~ spl74_75,
inference(rat,[],[s255,s400]) ).
cnf(s533,plain,
~ spl74_74,
inference(rat,[],[s250,s400]) ).
cnf(s534,plain,
~ spl74_73,
inference(rat,[],[s242,s397]) ).
cnf(s535,plain,
~ spl74_72,
inference(rat,[],[s238,s390]) ).
cnf(s536,plain,
~ spl74_71,
inference(rat,[],[s231,s396]) ).
cnf(s537,plain,
~ spl74_70,
inference(rat,[],[s227,s385]) ).
cnf(s538,plain,
~ spl74_69,
inference(rat,[],[s224,s399]) ).
cnf(s539,plain,
~ spl74_68,
inference(rat,[],[s216,s380]) ).
cnf(s540,plain,
~ spl74_67,
inference(rat,[],[s213,s398]) ).
cnf(s541,plain,
~ spl74_66,
inference(rat,[],[s209,s395]) ).
cnf(s542,plain,
~ spl74_65,
inference(rat,[],[s201,s391]) ).
cnf(s543,plain,
~ spl74_64,
inference(rat,[],[s198,s389]) ).
cnf(s544,plain,
~ spl74_63,
inference(rat,[],[s194,s394]) ).
cnf(s545,plain,
~ spl74_62,
inference(rat,[],[s189,s394]) ).
cnf(s546,plain,
~ spl74_61,
inference(rat,[],[s182,s392]) ).
cnf(s547,plain,
~ spl74_60,
inference(rat,[],[s176,s379]) ).
cnf(s548,plain,
~ spl74_59,
inference(rat,[],[s173,s393]) ).
cnf(s549,plain,
~ spl74_58,
inference(rat,[],[s170,s399]) ).
cnf(s550,plain,
~ spl74_57,
inference(rat,[],[s165,s395]) ).
cnf(s551,plain,
~ spl74_56,
inference(rat,[],[s157,s384]) ).
cnf(s552,plain,
~ spl74_55,
inference(rat,[],[s154,s389]) ).
cnf(s553,plain,
~ spl74_54,
inference(rat,[],[s147,s383]) ).
cnf(s554,plain,
~ spl74_53,
inference(rat,[],[s145,s390]) ).
cnf(s555,plain,
~ spl74_52,
inference(rat,[],[s136,s378]) ).
cnf(s556,plain,
~ spl74_51,
inference(rat,[],[s133,s388]) ).
cnf(s557,plain,
~ spl74_50,
inference(rat,[],[s128,s388]) ).
cnf(s558,plain,
~ spl74_49,
inference(rat,[],[s121,s386]) ).
cnf(s559,plain,
~ spl74_48,
inference(rat,[],[s119,s393]) ).
cnf(s560,plain,
~ spl74_47,
inference(rat,[],[s112,s387]) ).
cnf(s561,plain,
~ spl74_46,
inference(rat,[],[s110,s398]) ).
cnf(s562,plain,
~ spl74_45,
inference(rat,[],[s103,s383]) ).
cnf(s563,plain,
~ spl74_44,
inference(rat,[],[s96,s377]) ).
cnf(s564,plain,
~ spl74_43,
inference(rat,[],[s91,s381]) ).
cnf(s565,plain,
~ spl74_42,
inference(rat,[],[s90,s397]) ).
cnf(s566,plain,
~ spl74_41,
inference(rat,[],[s85,s385]) ).
cnf(s567,plain,
~ spl74_40,
inference(rat,[],[s79,s392]) ).
cnf(s568,plain,
~ spl74_39,
inference(rat,[],[s72,s382]) ).
cnf(s569,plain,
~ spl74_38,
inference(rat,[],[s67,s382]) ).
cnf(s570,plain,
~ spl74_37,
inference(rat,[],[s64,s384]) ).
cnf(s571,plain,
~ spl74_36,
inference(rat,[],[s58,s387]) ).
cnf(s572,plain,
~ spl74_35,
inference(rat,[],[s52,s377]) ).
cnf(s573,plain,
~ spl74_34,
inference(rat,[],[s49,s391]) ).
cnf(s574,plain,
~ spl74_33,
inference(rat,[],[s43,s378]) ).
cnf(s575,plain,
~ spl74_32,
inference(rat,[],[s37,s381]) ).
cnf(s576,plain,
~ spl74_31,
inference(rat,[],[s34,s379]) ).
cnf(s577,plain,
~ spl74_30,
inference(rat,[],[s30,s396]) ).
cnf(s578,plain,
~ spl74_29,
inference(rat,[],[s25,s380]) ).
cnf(s579,plain,
~ spl74_28,
inference(rat,[],[s18,s386]) ).
cnf(s580,plain,
~ spl74_27,
inference(rat,[],[s11,s376]) ).
cnf(s581,plain,
~ spl74_26,
inference(rat,[],[s6,s376]) ).
cnf(s582,plain,
$false,
inference(rat,[],[s5,s400,s458,s460,s462,s461,s463,s468,s464,s466,s467,s469,s472,s473,s474,s476,s477,s483,s487,s484,s485,s488,s504,s499,s500,s505,s506,s508,s509,s510,s511,s512,s513,s514,s515,s516,s517,s518,s519,s520,s521,s522,s523,s524,s525,s526,s527,s528,s529,s530,s531,s532,s533,s534,s535,s536,s537,s538,s539,s540,s541,s542,s543,s544,s545,s546,s547,s548,s549,s550,s551,s552,s553,s554,s555,s556,s557,s558,s559,s560,s561,s562,s563,s564,s565,s566,s567,s568,s569,s570,s571,s572,s573,s574,s575,s576,s577,s578,s579,s580,s581,s459,s501,s470,s478,s490,s489,s465,s471,s496,s493,s494,s479,s475,s482,s497,s480,s481,s491,s486,s502,s492,s495,s498,s503,s507]) ).
fof(f2202,plain,
$false,
inference(avatar_sat_refutation,[],[s582]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG188+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n015.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 19:44:17 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running first-order theorem proving
% 0.07/0.23 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.95/1.11 % (2938741)Detected formulas, will run a generic FOF schedule.
% 2.95/1.11 % (2938746)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=66974896:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.95/1.11 % (2938750)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=201629448:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.95/1.11 % (2938752)dis-21_1_sil=8000:lcm=predicate:random_seed=1682388400:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.95/1.11 % (2938751)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3518030714:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.95/1.11 % (2938747)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3732748767:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.95/1.11 % (2938749)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2236767462:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.95/1.11 % (2938748)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1089533156:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.95/1.11 % (2938752)Refutation not found, incomplete strategy
% 2.95/1.11 % (2938752)------------------------------
% 2.95/1.11 % (2938752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.95/1.11 % (2938752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.95/1.11 % (2938752)CaDiCaL version: 2.1.3
% 2.95/1.11 % (2938752)Termination reason: Refutation not found, incomplete strategy
% 2.95/1.11 % (2938752)Time elapsed: 0.011 s
% 2.95/1.11 % (2938752)Peak memory usage: 89 MB
% 2.95/1.11 % (2938752)Instructions burned: 22 (million)
% 2.95/1.11 % (2938751)First to succeed.
% 2.95/1.11 % (2938751)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2938741"
% 2.95/1.11 % (2938749)Instruction limit reached!
% 2.95/1.11 % (2938749)------------------------------
% 2.95/1.11 % (2938749)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.95/1.11 % (2938749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.95/1.11 % (2938749)CaDiCaL version: 2.1.3
% 2.95/1.11 % (2938749)Termination reason: Instruction limit
% 2.95/1.11 % (2938749)Termination phase: Saturation
% 2.95/1.11 % (2938749)Time elapsed: 0.048 s
% 2.95/1.11 % (2938749)Peak memory usage: 89 MB
% 2.95/1.11 % (2938749)Instructions burned: 110 (million)
% 2.95/1.11 % (2938750)Instruction limit reached!
% 2.95/1.11 % (2938750)------------------------------
% 2.95/1.11 % (2938750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.95/1.11 % (2938750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.95/1.11 % (2938750)CaDiCaL version: 2.1.3
% 2.95/1.11 % (2938750)Termination reason: Instruction limit
% 2.95/1.11 % (2938750)Termination phase: Saturation
% 2.95/1.11 % (2938750)Time elapsed: 0.049 s
% 2.95/1.11 % (2938750)Peak memory usage: 87 MB
% 2.95/1.11 % (2938750)Instructions burned: 120 (million)
% 2.95/1.11 [W928 19:44:18.287179593 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 2.95/1.11 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 2.95/1.11 [W928 19:44:18.287205921 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 2.95/1.11 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 2.95/1.11 [W928 19:44:18.287226171 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 2.95/1.11 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 2.95/1.11 [W928 19:44:18.287232218 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 2.95/1.11 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 2.95/1.11 [W928 19:44:18.287245778 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 2.95/1.11 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 2.95/1.11 [W928 19:44:18.287251084 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 2.95/1.11 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 2.95/1.11 % (2938760)lrs+10_1_sil=8000:sp=occurrence:random_seed=845548247:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.95/1.11 % (2938761)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1100977405:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.95/1.11 % (2938752)------------------------------
% 2.95/1.11 % (2938752)------------------------------
% 2.95/1.11 % (2938761)Instruction limit reached!
% 2.95/1.11 % (2938761)------------------------------
% 2.95/1.11 % (2938761)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.95/1.11 % (2938761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.95/1.11 % (2938761)CaDiCaL version: 2.1.3
% 2.95/1.11 % (2938761)Termination reason: Instruction limit
% 2.95/1.11 % (2938761)Termination phase: Saturation
% 2.95/1.11 % (2938761)Time elapsed: 0.063 s
% 2.95/1.11 % (2938761)Peak memory usage: 88 MB
% 2.95/1.11 % (2938761)Instructions burned: 158 (million)
% 2.95/1.11 % (2938751)Refutation found. Thanks to Tanya!
% 2.95/1.11 % SZS status Theorem for theBenchmark
% 2.95/1.11 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/1.31 % (2938751)------------------------------
% 0.20/1.31 % (2938751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.31 % (2938751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.31 % (2938751)CaDiCaL version: 2.1.3
% 0.20/1.31 % (2938751)Termination reason: Refutation
% 0.20/1.31 % (2938751)Time elapsed: 0.033 s
% 0.20/1.31 % (2938751)Peak memory usage: 90 MB
% 0.20/1.31 % (2938751)Instructions burned: 70 (million)
% 0.20/1.31 % (2938751)------------------------------
% 0.20/1.31 % (2938751)------------------------------
% 0.20/1.31 % (2938741)Success in time 0.443 s
% 0.20/1.31 % Vampire exiting
%------------------------------------------------------------------------------