%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG092+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 : n012.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 09:09:34 AM UTC 2026
% Result : Theorem 2.14s 0.64s
% Output : Refutation 2.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 211
% Syntax : Number of formulae : 833 ( 187 unt; 207 def)
% Number of atoms : 3972 (2448 equ)
% Maximal formula atoms : 440 ( 4 avg)
% Number of connectives : 5397 (2258 ~;1781 |;1231 &)
% ( 127 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 98 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 209 ( 207 usr; 208 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f2,axiom,
( op(e0,e0) = e0
& op(e0,e1) = e1
& op(e0,e2) = e2
& op(e0,e3) = e3
& op(e0,e4) = e4
& op(e1,e0) = e1
& op(e1,e1) = e4
& op(e1,e2) = e3
& op(e1,e3) = e0
& op(e1,e4) = e2
& op(e2,e0) = e2
& op(e2,e1) = e0
& op(e2,e2) = e4
& op(e2,e3) = e1
& op(e2,e4) = e3
& op(e3,e0) = e3
& op(e3,e1) = e2
& op(e3,e2) = e0
& op(e3,e3) = e4
& op(e3,e4) = e1
& op(e4,e0) = e4
& op(e4,e1) = e3
& op(e4,e2) = e1
& op(e4,e3) = e2
& op(e4,e4) = e0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f3,axiom,
unit = e0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f4,conjecture,
( ( ( op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 )
| ( op(e4,op(e4,e4)) != e4
& op(e4,op(e4,e4)) = e4 ) )
& ( op(e0,e0) = 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(unit,e0) = e0
& op(e0,unit) = e0
& op(unit,e1) = e1
& op(e1,unit) = e1
& op(unit,e2) = e2
& op(e2,unit) = e2
& op(unit,e3) = e3
& op(e3,unit) = e3
& op(unit,e4) = e4
& op(e4,unit) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 )
& ( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0
| op(e0,e4) = e0 )
& ( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0
| op(e4,e0) = e0 )
& ( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e4) = e1 )
& ( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e4,e0) = e1 )
& ( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2
| op(e0,e4) = e2 )
& ( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2
| op(e4,e0) = e2 )
& ( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3
| op(e0,e4) = e3 )
& ( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3
| op(e4,e0) = e3 )
& ( op(e0,e0) = e4
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e3) = e4
| op(e0,e4) = e4 )
& ( op(e0,e0) = e4
| op(e1,e0) = e4
| op(e2,e0) = e4
| op(e3,e0) = e4
| op(e4,e0) = e4 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e4) = e0 )
& ( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e1) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1
| op(e1,e4) = e1 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e4,e1) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2
| op(e1,e4) = e2 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 )
& ( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4
| op(e1,e4) = e4 )
& ( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2
| op(e2,e4) = e2 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3
| op(e2,e4) = e3 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 )
& ( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 )
& ( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e4) = e0 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1
| op(e3,e4) = e1 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e4,e3) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2
| op(e3,e4) = e2 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3
| op(e3,e4) = e3 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3
| op(e4,e3) = e3 )
& ( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e3) = e4
| op(e3,e4) = e4 )
& ( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4
| op(e4,e3) = e4 )
& ( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e4) = e0
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 )
& ( op(e4,e0) = e1
| op(e4,e1) = e1
| op(e4,e2) = e1
| op(e4,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 )
& ( op(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e4) = e2
| op(e1,e4) = e2
| op(e2,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 )
& ( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 )
& ( op(e4,e0) = e4
| op(e4,e1) = e4
| op(e4,e2) = e4
| op(e4,e3) = e4
| op(e4,e4) = e4 )
& ( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4
| op(e4,e4) = e4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f5,negated_conjecture,
~ ( ( ( op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 )
| ( op(e4,op(e4,e4)) != e4
& op(e4,op(e4,e4)) = e4 ) )
& ( op(e0,e0) = 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(unit,e0) = e0
& op(e0,unit) = e0
& op(unit,e1) = e1
& op(e1,unit) = e1
& op(unit,e2) = e2
& op(e2,unit) = e2
& op(unit,e3) = e3
& op(e3,unit) = e3
& op(unit,e4) = e4
& op(e4,unit) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 )
& ( 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 ) ),
inference(negated_conjecture,[status(cth)],[f4]) ).
fof(f6,plain,
( ( ( e0 = op(e0,op(e0,e0))
| e0 != op(e0,op(e0,e0)) )
& ( e0 = op(e1,op(e1,e0))
| e1 != op(e0,op(e1,e0)) )
& ( e0 = op(e2,op(e2,e0))
| e2 != op(e0,op(e2,e0)) )
& ( e0 = op(e3,op(e3,e0))
| e3 != op(e0,op(e3,e0)) )
& ( e0 = op(e4,op(e4,e0))
| e4 != op(e0,op(e4,e0)) ) )
| ( ( e1 = op(e0,op(e0,e1))
| e0 != op(e1,op(e0,e1)) )
& ( e1 = op(e1,op(e1,e1))
| e1 != op(e1,op(e1,e1)) )
& ( e1 = op(e2,op(e2,e1))
| e2 != op(e1,op(e2,e1)) )
& ( e1 = op(e3,op(e3,e1))
| e3 != op(e1,op(e3,e1)) )
& ( e1 = op(e4,op(e4,e1))
| e4 != op(e1,op(e4,e1)) ) )
| ( ( e2 = op(e0,op(e0,e2))
| e0 != op(e2,op(e0,e2)) )
& ( e2 = op(e1,op(e1,e2))
| e1 != op(e2,op(e1,e2)) )
& ( e2 = op(e2,op(e2,e2))
| e2 != op(e2,op(e2,e2)) )
& ( e2 = op(e3,op(e3,e2))
| e3 != op(e2,op(e3,e2)) )
& ( e2 = op(e4,op(e4,e2))
| e4 != op(e2,op(e4,e2)) ) )
| ( ( e3 = op(e0,op(e0,e3))
| e0 != op(e3,op(e0,e3)) )
& ( e3 = op(e1,op(e1,e3))
| e1 != op(e3,op(e1,e3)) )
& ( e3 = op(e2,op(e2,e3))
| e2 != op(e3,op(e2,e3)) )
& ( e3 = op(e3,op(e3,e3))
| e3 != op(e3,op(e3,e3)) )
& ( e3 = op(e4,op(e4,e3))
| e4 != op(e3,op(e4,e3)) ) )
| ( ( e4 = op(e0,op(e0,e4))
| e0 != op(e4,op(e0,e4)) )
& ( e4 = op(e1,op(e1,e4))
| e1 != op(e4,op(e1,e4)) )
& ( e4 = op(e2,op(e2,e4))
| e2 != op(e4,op(e2,e4)) )
& ( e4 = op(e3,op(e3,e4))
| e3 != op(e4,op(e3,e4)) )
& ( e4 = op(e4,op(e4,e4))
| 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(unit,e0)
| e0 != op(e0,unit)
| e1 != op(unit,e1)
| e1 != op(e1,unit)
| e2 != op(unit,e2)
| e2 != op(e2,unit)
| e3 != op(unit,e3)
| e3 != op(e3,unit)
| e4 != op(unit,e4)
| e4 != op(e4,unit)
| ( e0 != unit
& e1 != unit
& e2 != unit
& e3 != unit
& e4 != unit )
| ( 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) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f7,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(f8,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(f9,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(f10,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(f11,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(f12,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(f13,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(f14,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(f15,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(f16,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(f17,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(f18,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(f19,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(f20,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(f21,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(f22,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(f23,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(f24,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(f25,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(f26,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(f27,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(f28,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(f29,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(f30,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(f31,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(f32,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(f33,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(f34,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(f35,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(f36,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(f37,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(f38,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(f39,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(f40,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(f41,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(f42,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(f43,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(f44,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(f45,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(f46,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(f47,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(f48,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(f49,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(f50,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(f51,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(f52,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(f53,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(f54,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(f55,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(f56,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(f57,definition,
( ( e0 != unit
& e1 != unit
& e2 != unit
& e3 != unit
& e4 != unit )
| ~ sP50 ),
introduced(definition,[new_symbols(definition,[sP50])],[predicate_definition_introduction]) ).
fof(f58,definition,
( ( e0 != op(e4,e4)
& e1 != op(e4,e4)
& e2 != op(e4,e4)
& e3 != op(e4,e4)
& e4 != op(e4,e4) )
| ~ sP51 ),
introduced(definition,[new_symbols(definition,[sP51])],[predicate_definition_introduction]) ).
fof(f59,definition,
( ( e0 != op(e4,e3)
& e1 != op(e4,e3)
& e2 != op(e4,e3)
& e3 != op(e4,e3)
& e4 != op(e4,e3) )
| ~ sP52 ),
introduced(definition,[new_symbols(definition,[sP52])],[predicate_definition_introduction]) ).
fof(f60,definition,
( ( e0 != op(e4,e2)
& e1 != op(e4,e2)
& e2 != op(e4,e2)
& e3 != op(e4,e2)
& e4 != op(e4,e2) )
| ~ sP53 ),
introduced(definition,[new_symbols(definition,[sP53])],[predicate_definition_introduction]) ).
fof(f61,definition,
( ( e0 != op(e4,e1)
& e1 != op(e4,e1)
& e2 != op(e4,e1)
& e3 != op(e4,e1)
& e4 != op(e4,e1) )
| ~ sP54 ),
introduced(definition,[new_symbols(definition,[sP54])],[predicate_definition_introduction]) ).
fof(f62,definition,
( ( e0 != op(e4,e0)
& e1 != op(e4,e0)
& e2 != op(e4,e0)
& e3 != op(e4,e0)
& e4 != op(e4,e0) )
| ~ sP55 ),
introduced(definition,[new_symbols(definition,[sP55])],[predicate_definition_introduction]) ).
fof(f63,definition,
( ( e0 != op(e3,e4)
& e1 != op(e3,e4)
& e2 != op(e3,e4)
& e3 != op(e3,e4)
& e4 != op(e3,e4) )
| ~ sP56 ),
introduced(definition,[new_symbols(definition,[sP56])],[predicate_definition_introduction]) ).
fof(f64,definition,
( ( e0 != op(e3,e3)
& e1 != op(e3,e3)
& e2 != op(e3,e3)
& e3 != op(e3,e3)
& e4 != op(e3,e3) )
| ~ sP57 ),
introduced(definition,[new_symbols(definition,[sP57])],[predicate_definition_introduction]) ).
fof(f65,definition,
( ( e0 != op(e3,e2)
& e1 != op(e3,e2)
& e2 != op(e3,e2)
& e3 != op(e3,e2)
& e4 != op(e3,e2) )
| ~ sP58 ),
introduced(definition,[new_symbols(definition,[sP58])],[predicate_definition_introduction]) ).
fof(f66,definition,
( ( e0 != op(e3,e1)
& e1 != op(e3,e1)
& e2 != op(e3,e1)
& e3 != op(e3,e1)
& e4 != op(e3,e1) )
| ~ sP59 ),
introduced(definition,[new_symbols(definition,[sP59])],[predicate_definition_introduction]) ).
fof(f67,definition,
( ( e0 != op(e3,e0)
& e1 != op(e3,e0)
& e2 != op(e3,e0)
& e3 != op(e3,e0)
& e4 != op(e3,e0) )
| ~ sP60 ),
introduced(definition,[new_symbols(definition,[sP60])],[predicate_definition_introduction]) ).
fof(f68,definition,
( ( e0 != op(e2,e4)
& e1 != op(e2,e4)
& e2 != op(e2,e4)
& e3 != op(e2,e4)
& e4 != op(e2,e4) )
| ~ sP61 ),
introduced(definition,[new_symbols(definition,[sP61])],[predicate_definition_introduction]) ).
fof(f69,definition,
( ( e0 != op(e2,e3)
& e1 != op(e2,e3)
& e2 != op(e2,e3)
& e3 != op(e2,e3)
& e4 != op(e2,e3) )
| ~ sP62 ),
introduced(definition,[new_symbols(definition,[sP62])],[predicate_definition_introduction]) ).
fof(f70,definition,
( ( e0 != op(e2,e2)
& e1 != op(e2,e2)
& e2 != op(e2,e2)
& e3 != op(e2,e2)
& e4 != op(e2,e2) )
| ~ sP63 ),
introduced(definition,[new_symbols(definition,[sP63])],[predicate_definition_introduction]) ).
fof(f71,definition,
( ( e0 != op(e2,e1)
& e1 != op(e2,e1)
& e2 != op(e2,e1)
& e3 != op(e2,e1)
& e4 != op(e2,e1) )
| ~ sP64 ),
introduced(definition,[new_symbols(definition,[sP64])],[predicate_definition_introduction]) ).
fof(f72,definition,
( ( e0 != op(e2,e0)
& e1 != op(e2,e0)
& e2 != op(e2,e0)
& e3 != op(e2,e0)
& e4 != op(e2,e0) )
| ~ sP65 ),
introduced(definition,[new_symbols(definition,[sP65])],[predicate_definition_introduction]) ).
fof(f73,definition,
( ( e0 != op(e1,e4)
& e1 != op(e1,e4)
& e2 != op(e1,e4)
& e3 != op(e1,e4)
& e4 != op(e1,e4) )
| ~ sP66 ),
introduced(definition,[new_symbols(definition,[sP66])],[predicate_definition_introduction]) ).
fof(f74,definition,
( ( e0 != op(e1,e3)
& e1 != op(e1,e3)
& e2 != op(e1,e3)
& e3 != op(e1,e3)
& e4 != op(e1,e3) )
| ~ sP67 ),
introduced(definition,[new_symbols(definition,[sP67])],[predicate_definition_introduction]) ).
fof(f75,definition,
( ( e0 != op(e1,e2)
& e1 != op(e1,e2)
& e2 != op(e1,e2)
& e3 != op(e1,e2)
& e4 != op(e1,e2) )
| ~ sP68 ),
introduced(definition,[new_symbols(definition,[sP68])],[predicate_definition_introduction]) ).
fof(f76,definition,
( ( e0 != op(e1,e1)
& e1 != op(e1,e1)
& e2 != op(e1,e1)
& e3 != op(e1,e1)
& e4 != op(e1,e1) )
| ~ sP69 ),
introduced(definition,[new_symbols(definition,[sP69])],[predicate_definition_introduction]) ).
fof(f77,definition,
( ( e0 != op(e1,e0)
& e1 != op(e1,e0)
& e2 != op(e1,e0)
& e3 != op(e1,e0)
& e4 != op(e1,e0) )
| ~ sP70 ),
introduced(definition,[new_symbols(definition,[sP70])],[predicate_definition_introduction]) ).
fof(f78,definition,
( ( e0 != op(e0,e4)
& e1 != op(e0,e4)
& e2 != op(e0,e4)
& e3 != op(e0,e4)
& e4 != op(e0,e4) )
| ~ sP71 ),
introduced(definition,[new_symbols(definition,[sP71])],[predicate_definition_introduction]) ).
fof(f79,definition,
( ( e0 != op(e0,e3)
& e1 != op(e0,e3)
& e2 != op(e0,e3)
& e3 != op(e0,e3)
& e4 != op(e0,e3) )
| ~ sP72 ),
introduced(definition,[new_symbols(definition,[sP72])],[predicate_definition_introduction]) ).
fof(f80,definition,
( ( e0 != op(e0,e2)
& e1 != op(e0,e2)
& e2 != op(e0,e2)
& e3 != op(e0,e2)
& e4 != op(e0,e2) )
| ~ sP73 ),
introduced(definition,[new_symbols(definition,[sP73])],[predicate_definition_introduction]) ).
fof(f81,definition,
( ( e0 != op(e0,e1)
& e1 != op(e0,e1)
& e2 != op(e0,e1)
& e3 != op(e0,e1)
& e4 != op(e0,e1) )
| ~ sP74 ),
introduced(definition,[new_symbols(definition,[sP74])],[predicate_definition_introduction]) ).
fof(f82,definition,
( ( e0 != op(e0,e0)
& e1 != op(e0,e0)
& e2 != op(e0,e0)
& e3 != op(e0,e0)
& e4 != op(e0,e0) )
| ~ sP75 ),
introduced(definition,[new_symbols(definition,[sP75])],[predicate_definition_introduction]) ).
fof(f83,definition,
( ( ( e4 = op(e0,op(e0,e4))
| e0 != op(e4,op(e0,e4)) )
& ( e4 = op(e1,op(e1,e4))
| e1 != op(e4,op(e1,e4)) )
& ( e4 = op(e2,op(e2,e4))
| e2 != op(e4,op(e2,e4)) )
& ( e4 = op(e3,op(e3,e4))
| e3 != op(e4,op(e3,e4)) )
& ( e4 = op(e4,op(e4,e4))
| e4 != op(e4,op(e4,e4)) ) )
| ~ sP76 ),
introduced(definition,[new_symbols(definition,[sP76])],[predicate_definition_introduction]) ).
fof(f84,definition,
( ( ( e3 = op(e0,op(e0,e3))
| e0 != op(e3,op(e0,e3)) )
& ( e3 = op(e1,op(e1,e3))
| e1 != op(e3,op(e1,e3)) )
& ( e3 = op(e2,op(e2,e3))
| e2 != op(e3,op(e2,e3)) )
& ( e3 = op(e3,op(e3,e3))
| e3 != op(e3,op(e3,e3)) )
& ( e3 = op(e4,op(e4,e3))
| e4 != op(e3,op(e4,e3)) ) )
| ~ sP77 ),
introduced(definition,[new_symbols(definition,[sP77])],[predicate_definition_introduction]) ).
fof(f85,definition,
( ( ( e2 = op(e0,op(e0,e2))
| e0 != op(e2,op(e0,e2)) )
& ( e2 = op(e1,op(e1,e2))
| e1 != op(e2,op(e1,e2)) )
& ( e2 = op(e2,op(e2,e2))
| e2 != op(e2,op(e2,e2)) )
& ( e2 = op(e3,op(e3,e2))
| e3 != op(e2,op(e3,e2)) )
& ( e2 = op(e4,op(e4,e2))
| e4 != op(e2,op(e4,e2)) ) )
| ~ sP78 ),
introduced(definition,[new_symbols(definition,[sP78])],[predicate_definition_introduction]) ).
fof(f86,definition,
( ( ( e1 = op(e0,op(e0,e1))
| e0 != op(e1,op(e0,e1)) )
& ( e1 = op(e1,op(e1,e1))
| e1 != op(e1,op(e1,e1)) )
& ( e1 = op(e2,op(e2,e1))
| e2 != op(e1,op(e2,e1)) )
& ( e1 = op(e3,op(e3,e1))
| e3 != op(e1,op(e3,e1)) )
& ( e1 = op(e4,op(e4,e1))
| e4 != op(e1,op(e4,e1)) ) )
| ~ sP79 ),
introduced(definition,[new_symbols(definition,[sP79])],[predicate_definition_introduction]) ).
fof(f87,plain,
( ( ( e0 = op(e0,op(e0,e0))
| e0 != op(e0,op(e0,e0)) )
& ( e0 = op(e1,op(e1,e0))
| e1 != op(e0,op(e1,e0)) )
& ( e0 = op(e2,op(e2,e0))
| e2 != op(e0,op(e2,e0)) )
& ( e0 = op(e3,op(e3,e0))
| e3 != op(e0,op(e3,e0)) )
& ( e0 = op(e4,op(e4,e0))
| e4 != op(e0,op(e4,e0)) ) )
| sP79
| sP78
| sP77
| sP76
| sP75
| sP74
| sP73
| sP72
| sP71
| sP70
| sP69
| sP68
| sP67
| sP66
| sP65
| sP64
| sP63
| sP62
| sP61
| sP60
| sP59
| sP58
| sP57
| sP56
| sP55
| sP54
| sP53
| sP52
| sP51
| e0 != op(unit,e0)
| e0 != op(e0,unit)
| e1 != op(unit,e1)
| e1 != op(e1,unit)
| e2 != op(unit,e2)
| e2 != op(e2,unit)
| e3 != op(unit,e3)
| e3 != op(e3,unit)
| e4 != op(unit,e4)
| e4 != op(e4,unit)
| 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 ),
inference(definition_folding,[],[f6,f86,f85,f84,f83,f82,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,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]) ).
fof(f88,plain,
( ( ( e1 = op(e0,op(e0,e1))
| e0 != op(e1,op(e0,e1)) )
& ( e1 = op(e1,op(e1,e1))
| e1 != op(e1,op(e1,e1)) )
& ( e1 = op(e2,op(e2,e1))
| e2 != op(e1,op(e2,e1)) )
& ( e1 = op(e3,op(e3,e1))
| e3 != op(e1,op(e3,e1)) )
& ( e1 = op(e4,op(e4,e1))
| e4 != op(e1,op(e4,e1)) ) )
| ~ sP79 ),
inference(nnf_transformation,[],[f86]) ).
fof(f89,plain,
( ( ( e2 = op(e0,op(e0,e2))
| e0 != op(e2,op(e0,e2)) )
& ( e2 = op(e1,op(e1,e2))
| e1 != op(e2,op(e1,e2)) )
& ( e2 = op(e2,op(e2,e2))
| e2 != op(e2,op(e2,e2)) )
& ( e2 = op(e3,op(e3,e2))
| e3 != op(e2,op(e3,e2)) )
& ( e2 = op(e4,op(e4,e2))
| e4 != op(e2,op(e4,e2)) ) )
| ~ sP78 ),
inference(nnf_transformation,[],[f85]) ).
fof(f90,plain,
( ( ( e3 = op(e0,op(e0,e3))
| e0 != op(e3,op(e0,e3)) )
& ( e3 = op(e1,op(e1,e3))
| e1 != op(e3,op(e1,e3)) )
& ( e3 = op(e2,op(e2,e3))
| e2 != op(e3,op(e2,e3)) )
& ( e3 = op(e3,op(e3,e3))
| e3 != op(e3,op(e3,e3)) )
& ( e3 = op(e4,op(e4,e3))
| e4 != op(e3,op(e4,e3)) ) )
| ~ sP77 ),
inference(nnf_transformation,[],[f84]) ).
fof(f91,plain,
( ( ( e4 = op(e0,op(e0,e4))
| e0 != op(e4,op(e0,e4)) )
& ( e4 = op(e1,op(e1,e4))
| e1 != op(e4,op(e1,e4)) )
& ( e4 = op(e2,op(e2,e4))
| e2 != op(e4,op(e2,e4)) )
& ( e4 = op(e3,op(e3,e4))
| e3 != op(e4,op(e3,e4)) )
& ( e4 = op(e4,op(e4,e4))
| e4 != op(e4,op(e4,e4)) ) )
| ~ sP76 ),
inference(nnf_transformation,[],[f83]) ).
fof(f92,plain,
( ( e0 != op(e0,e0)
& e1 != op(e0,e0)
& e2 != op(e0,e0)
& e3 != op(e0,e0)
& e4 != op(e0,e0) )
| ~ sP75 ),
inference(nnf_transformation,[],[f82]) ).
fof(f93,plain,
( ( e0 != op(e0,e1)
& e1 != op(e0,e1)
& e2 != op(e0,e1)
& e3 != op(e0,e1)
& e4 != op(e0,e1) )
| ~ sP74 ),
inference(nnf_transformation,[],[f81]) ).
fof(f94,plain,
( ( e0 != op(e0,e2)
& e1 != op(e0,e2)
& e2 != op(e0,e2)
& e3 != op(e0,e2)
& e4 != op(e0,e2) )
| ~ sP73 ),
inference(nnf_transformation,[],[f80]) ).
fof(f95,plain,
( ( e0 != op(e0,e3)
& e1 != op(e0,e3)
& e2 != op(e0,e3)
& e3 != op(e0,e3)
& e4 != op(e0,e3) )
| ~ sP72 ),
inference(nnf_transformation,[],[f79]) ).
fof(f96,plain,
( ( e0 != op(e0,e4)
& e1 != op(e0,e4)
& e2 != op(e0,e4)
& e3 != op(e0,e4)
& e4 != op(e0,e4) )
| ~ sP71 ),
inference(nnf_transformation,[],[f78]) ).
fof(f97,plain,
( ( e0 != op(e1,e0)
& e1 != op(e1,e0)
& e2 != op(e1,e0)
& e3 != op(e1,e0)
& e4 != op(e1,e0) )
| ~ sP70 ),
inference(nnf_transformation,[],[f77]) ).
fof(f98,plain,
( ( e0 != op(e1,e1)
& e1 != op(e1,e1)
& e2 != op(e1,e1)
& e3 != op(e1,e1)
& e4 != op(e1,e1) )
| ~ sP69 ),
inference(nnf_transformation,[],[f76]) ).
fof(f99,plain,
( ( e0 != op(e1,e2)
& e1 != op(e1,e2)
& e2 != op(e1,e2)
& e3 != op(e1,e2)
& e4 != op(e1,e2) )
| ~ sP68 ),
inference(nnf_transformation,[],[f75]) ).
fof(f100,plain,
( ( e0 != op(e1,e3)
& e1 != op(e1,e3)
& e2 != op(e1,e3)
& e3 != op(e1,e3)
& e4 != op(e1,e3) )
| ~ sP67 ),
inference(nnf_transformation,[],[f74]) ).
fof(f101,plain,
( ( e0 != op(e1,e4)
& e1 != op(e1,e4)
& e2 != op(e1,e4)
& e3 != op(e1,e4)
& e4 != op(e1,e4) )
| ~ sP66 ),
inference(nnf_transformation,[],[f73]) ).
fof(f102,plain,
( ( e0 != op(e2,e0)
& e1 != op(e2,e0)
& e2 != op(e2,e0)
& e3 != op(e2,e0)
& e4 != op(e2,e0) )
| ~ sP65 ),
inference(nnf_transformation,[],[f72]) ).
fof(f103,plain,
( ( e0 != op(e2,e1)
& e1 != op(e2,e1)
& e2 != op(e2,e1)
& e3 != op(e2,e1)
& e4 != op(e2,e1) )
| ~ sP64 ),
inference(nnf_transformation,[],[f71]) ).
fof(f104,plain,
( ( e0 != op(e2,e2)
& e1 != op(e2,e2)
& e2 != op(e2,e2)
& e3 != op(e2,e2)
& e4 != op(e2,e2) )
| ~ sP63 ),
inference(nnf_transformation,[],[f70]) ).
fof(f105,plain,
( ( e0 != op(e2,e3)
& e1 != op(e2,e3)
& e2 != op(e2,e3)
& e3 != op(e2,e3)
& e4 != op(e2,e3) )
| ~ sP62 ),
inference(nnf_transformation,[],[f69]) ).
fof(f106,plain,
( ( e0 != op(e2,e4)
& e1 != op(e2,e4)
& e2 != op(e2,e4)
& e3 != op(e2,e4)
& e4 != op(e2,e4) )
| ~ sP61 ),
inference(nnf_transformation,[],[f68]) ).
fof(f107,plain,
( ( e0 != op(e3,e0)
& e1 != op(e3,e0)
& e2 != op(e3,e0)
& e3 != op(e3,e0)
& e4 != op(e3,e0) )
| ~ sP60 ),
inference(nnf_transformation,[],[f67]) ).
fof(f108,plain,
( ( e0 != op(e3,e1)
& e1 != op(e3,e1)
& e2 != op(e3,e1)
& e3 != op(e3,e1)
& e4 != op(e3,e1) )
| ~ sP59 ),
inference(nnf_transformation,[],[f66]) ).
fof(f109,plain,
( ( e0 != op(e3,e2)
& e1 != op(e3,e2)
& e2 != op(e3,e2)
& e3 != op(e3,e2)
& e4 != op(e3,e2) )
| ~ sP58 ),
inference(nnf_transformation,[],[f65]) ).
fof(f110,plain,
( ( e0 != op(e3,e3)
& e1 != op(e3,e3)
& e2 != op(e3,e3)
& e3 != op(e3,e3)
& e4 != op(e3,e3) )
| ~ sP57 ),
inference(nnf_transformation,[],[f64]) ).
fof(f111,plain,
( ( e0 != op(e3,e4)
& e1 != op(e3,e4)
& e2 != op(e3,e4)
& e3 != op(e3,e4)
& e4 != op(e3,e4) )
| ~ sP56 ),
inference(nnf_transformation,[],[f63]) ).
fof(f112,plain,
( ( e0 != op(e4,e0)
& e1 != op(e4,e0)
& e2 != op(e4,e0)
& e3 != op(e4,e0)
& e4 != op(e4,e0) )
| ~ sP55 ),
inference(nnf_transformation,[],[f62]) ).
fof(f113,plain,
( ( e0 != op(e4,e1)
& e1 != op(e4,e1)
& e2 != op(e4,e1)
& e3 != op(e4,e1)
& e4 != op(e4,e1) )
| ~ sP54 ),
inference(nnf_transformation,[],[f61]) ).
fof(f114,plain,
( ( e0 != op(e4,e2)
& e1 != op(e4,e2)
& e2 != op(e4,e2)
& e3 != op(e4,e2)
& e4 != op(e4,e2) )
| ~ sP53 ),
inference(nnf_transformation,[],[f60]) ).
fof(f115,plain,
( ( e0 != op(e4,e3)
& e1 != op(e4,e3)
& e2 != op(e4,e3)
& e3 != op(e4,e3)
& e4 != op(e4,e3) )
| ~ sP52 ),
inference(nnf_transformation,[],[f59]) ).
fof(f116,plain,
( ( e0 != op(e4,e4)
& e1 != op(e4,e4)
& e2 != op(e4,e4)
& e3 != op(e4,e4)
& e4 != op(e4,e4) )
| ~ sP51 ),
inference(nnf_transformation,[],[f58]) ).
fof(f117,plain,
( ( e0 != unit
& e1 != unit
& e2 != unit
& e3 != unit
& e4 != unit )
| ~ sP50 ),
inference(nnf_transformation,[],[f57]) ).
fof(f118,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,[],[f56]) ).
fof(f119,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,[],[f55]) ).
fof(f120,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,[],[f54]) ).
fof(f121,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,[],[f53]) ).
fof(f122,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,[],[f52]) ).
fof(f123,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,[],[f51]) ).
fof(f124,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,[],[f50]) ).
fof(f125,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,[],[f49]) ).
fof(f126,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,[],[f48]) ).
fof(f127,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,[],[f47]) ).
fof(f128,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,[],[f46]) ).
fof(f129,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,[],[f45]) ).
fof(f130,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,[],[f44]) ).
fof(f131,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,[],[f43]) ).
fof(f132,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,[],[f42]) ).
fof(f133,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,[],[f41]) ).
fof(f134,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,[],[f40]) ).
fof(f135,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,[],[f39]) ).
fof(f136,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,[],[f38]) ).
fof(f137,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,[],[f37]) ).
fof(f138,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,[],[f36]) ).
fof(f139,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,[],[f35]) ).
fof(f140,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,[],[f34]) ).
fof(f141,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,[],[f33]) ).
fof(f142,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,[],[f32]) ).
fof(f143,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,[],[f31]) ).
fof(f144,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,[],[f30]) ).
fof(f145,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,[],[f29]) ).
fof(f146,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,[],[f28]) ).
fof(f147,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,[],[f27]) ).
fof(f148,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,[],[f26]) ).
fof(f149,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,[],[f25]) ).
fof(f150,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,[],[f24]) ).
fof(f151,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,[],[f23]) ).
fof(f152,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,[],[f22]) ).
fof(f153,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,[],[f21]) ).
fof(f154,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,[],[f20]) ).
fof(f155,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,[],[f19]) ).
fof(f156,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,[],[f18]) ).
fof(f157,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,[],[f17]) ).
fof(f158,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,[],[f16]) ).
fof(f159,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,[],[f15]) ).
fof(f160,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,[],[f14]) ).
fof(f161,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,[],[f13]) ).
fof(f162,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,[],[f12]) ).
fof(f163,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,[],[f11]) ).
fof(f164,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,[],[f10]) ).
fof(f165,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,[],[f9]) ).
fof(f166,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,[],[f8]) ).
fof(f167,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,[],[f7]) ).
fof(f168,plain,
e3 != e4,
inference(cnf_transformation,[],[f1]) ).
fof(f174,plain,
e0 != e4,
inference(cnf_transformation,[],[f1]) ).
fof(f175,plain,
e0 != e3,
inference(cnf_transformation,[],[f1]) ).
fof(f176,plain,
e0 != e2,
inference(cnf_transformation,[],[f1]) ).
fof(f177,plain,
e0 != e1,
inference(cnf_transformation,[],[f1]) ).
fof(f178,plain,
e0 = op(e4,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f179,plain,
e2 = op(e4,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f180,plain,
e1 = op(e4,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f181,plain,
e3 = op(e4,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f182,plain,
e4 = op(e4,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f183,plain,
e1 = op(e3,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f184,plain,
e4 = op(e3,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f185,plain,
e0 = op(e3,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f186,plain,
e2 = op(e3,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f187,plain,
e3 = op(e3,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f188,plain,
e3 = op(e2,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f189,plain,
e1 = op(e2,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f190,plain,
e4 = op(e2,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f191,plain,
e0 = op(e2,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f192,plain,
e2 = op(e2,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f193,plain,
e2 = op(e1,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f194,plain,
e0 = op(e1,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f195,plain,
e3 = op(e1,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f196,plain,
e4 = op(e1,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f197,plain,
e1 = op(e1,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f198,plain,
e4 = op(e0,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f199,plain,
e3 = op(e0,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f200,plain,
e2 = op(e0,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f201,plain,
e1 = op(e0,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f202,plain,
e0 = op(e0,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f203,plain,
e0 = unit,
inference(cnf_transformation,[],[f3]) ).
fof(f205,plain,
( e1 = op(e3,op(e3,e1))
| e3 != op(e1,op(e3,e1))
| ~ sP79 ),
inference(cnf_transformation,[],[f88]) ).
fof(f212,plain,
( e2 = op(e1,op(e1,e2))
| e1 != op(e2,op(e1,e2))
| ~ sP78 ),
inference(cnf_transformation,[],[f89]) ).
fof(f216,plain,
( e3 = op(e2,op(e2,e3))
| e2 != op(e3,op(e2,e3))
| ~ sP77 ),
inference(cnf_transformation,[],[f90]) ).
fof(f222,plain,
( e4 = op(e1,op(e1,e4))
| e1 != op(e4,op(e1,e4))
| ~ sP76 ),
inference(cnf_transformation,[],[f91]) ).
fof(f228,plain,
( e0 != op(e0,e0)
| ~ sP75 ),
inference(cnf_transformation,[],[f92]) ).
fof(f232,plain,
( e1 != op(e0,e1)
| ~ sP74 ),
inference(cnf_transformation,[],[f93]) ).
fof(f236,plain,
( e2 != op(e0,e2)
| ~ sP73 ),
inference(cnf_transformation,[],[f94]) ).
fof(f240,plain,
( e3 != op(e0,e3)
| ~ sP72 ),
inference(cnf_transformation,[],[f95]) ).
fof(f244,plain,
( e4 != op(e0,e4)
| ~ sP71 ),
inference(cnf_transformation,[],[f96]) ).
fof(f252,plain,
( e1 != op(e1,e0)
| ~ sP70 ),
inference(cnf_transformation,[],[f97]) ).
fof(f254,plain,
( e4 != op(e1,e1)
| ~ sP69 ),
inference(cnf_transformation,[],[f98]) ).
fof(f260,plain,
( e3 != op(e1,e2)
| ~ sP68 ),
inference(cnf_transformation,[],[f99]) ).
fof(f268,plain,
( e0 != op(e1,e3)
| ~ sP67 ),
inference(cnf_transformation,[],[f100]) ).
fof(f271,plain,
( e2 != op(e1,e4)
| ~ sP66 ),
inference(cnf_transformation,[],[f101]) ).
fof(f276,plain,
( e2 != op(e2,e0)
| ~ sP65 ),
inference(cnf_transformation,[],[f102]) ).
fof(f283,plain,
( e0 != op(e2,e1)
| ~ sP64 ),
inference(cnf_transformation,[],[f103]) ).
fof(f284,plain,
( e4 != op(e2,e2)
| ~ sP63 ),
inference(cnf_transformation,[],[f104]) ).
fof(f292,plain,
( e1 != op(e2,e3)
| ~ sP62 ),
inference(cnf_transformation,[],[f105]) ).
fof(f295,plain,
( e3 != op(e2,e4)
| ~ sP61 ),
inference(cnf_transformation,[],[f106]) ).
fof(f300,plain,
( e3 != op(e3,e0)
| ~ sP60 ),
inference(cnf_transformation,[],[f107]) ).
fof(f306,plain,
( e2 != op(e3,e1)
| ~ sP59 ),
inference(cnf_transformation,[],[f108]) ).
fof(f313,plain,
( e0 != op(e3,e2)
| ~ sP58 ),
inference(cnf_transformation,[],[f109]) ).
fof(f314,plain,
( e4 != op(e3,e3)
| ~ sP57 ),
inference(cnf_transformation,[],[f110]) ).
fof(f322,plain,
( e1 != op(e3,e4)
| ~ sP56 ),
inference(cnf_transformation,[],[f111]) ).
fof(f324,plain,
( e4 != op(e4,e0)
| ~ sP55 ),
inference(cnf_transformation,[],[f112]) ).
fof(f330,plain,
( e3 != op(e4,e1)
| ~ sP54 ),
inference(cnf_transformation,[],[f113]) ).
fof(f337,plain,
( e1 != op(e4,e2)
| ~ sP53 ),
inference(cnf_transformation,[],[f114]) ).
fof(f341,plain,
( e2 != op(e4,e3)
| ~ sP52 ),
inference(cnf_transformation,[],[f115]) ).
fof(f348,plain,
( e0 != op(e4,e4)
| ~ sP51 ),
inference(cnf_transformation,[],[f116]) ).
fof(f353,plain,
( e0 != unit
| ~ sP50 ),
inference(cnf_transformation,[],[f117]) ).
fof(f358,plain,
( e0 != op(e0,e0)
| ~ sP49 ),
inference(cnf_transformation,[],[f118]) ).
fof(f363,plain,
( e0 != op(e0,e0)
| ~ sP48 ),
inference(cnf_transformation,[],[f119]) ).
fof(f367,plain,
( e1 != op(e0,e1)
| ~ sP47 ),
inference(cnf_transformation,[],[f120]) ).
fof(f372,plain,
( e1 != op(e1,e0)
| ~ sP46 ),
inference(cnf_transformation,[],[f121]) ).
fof(f376,plain,
( e2 != op(e0,e2)
| ~ sP45 ),
inference(cnf_transformation,[],[f122]) ).
fof(f381,plain,
( e2 != op(e2,e0)
| ~ sP44 ),
inference(cnf_transformation,[],[f123]) ).
fof(f385,plain,
( e3 != op(e0,e3)
| ~ sP43 ),
inference(cnf_transformation,[],[f124]) ).
fof(f390,plain,
( e3 != op(e3,e0)
| ~ sP42 ),
inference(cnf_transformation,[],[f125]) ).
fof(f394,plain,
( e4 != op(e0,e4)
| ~ sP41 ),
inference(cnf_transformation,[],[f126]) ).
fof(f399,plain,
( e4 != op(e4,e0)
| ~ sP40 ),
inference(cnf_transformation,[],[f127]) ).
fof(f405,plain,
( e0 != op(e1,e3)
| ~ sP39 ),
inference(cnf_transformation,[],[f128]) ).
fof(f411,plain,
( e0 != op(e2,e1)
| ~ sP38 ),
inference(cnf_transformation,[],[f129]) ).
fof(f418,plain,
( e1 != op(e1,e0)
| ~ sP37 ),
inference(cnf_transformation,[],[f130]) ).
fof(f423,plain,
( e1 != op(e0,e1)
| ~ sP36 ),
inference(cnf_transformation,[],[f131]) ).
fof(f424,plain,
( e2 != op(e1,e4)
| ~ sP35 ),
inference(cnf_transformation,[],[f132]) ).
fof(f430,plain,
( e2 != op(e3,e1)
| ~ sP34 ),
inference(cnf_transformation,[],[f133]) ).
fof(f436,plain,
( e3 != op(e1,e2)
| ~ sP33 ),
inference(cnf_transformation,[],[f134]) ).
fof(f439,plain,
( e3 != op(e4,e1)
| ~ sP32 ),
inference(cnf_transformation,[],[f135]) ).
fof(f447,plain,
( e4 != op(e1,e1)
| ~ sP31 ),
inference(cnf_transformation,[],[f136]) ).
fof(f452,plain,
( e4 != op(e1,e1)
| ~ sP30 ),
inference(cnf_transformation,[],[f137]) ).
fof(f457,plain,
( e0 != op(e2,e1)
| ~ sP29 ),
inference(cnf_transformation,[],[f138]) ).
fof(f460,plain,
( e0 != op(e3,e2)
| ~ sP28 ),
inference(cnf_transformation,[],[f139]) ).
fof(f465,plain,
( e1 != op(e2,e3)
| ~ sP27 ),
inference(cnf_transformation,[],[f140]) ).
fof(f469,plain,
( e1 != op(e4,e2)
| ~ sP26 ),
inference(cnf_transformation,[],[f141]) ).
fof(f478,plain,
( e2 != op(e2,e0)
| ~ sP25 ),
inference(cnf_transformation,[],[f142]) ).
fof(f483,plain,
( e2 != op(e0,e2)
| ~ sP24 ),
inference(cnf_transformation,[],[f143]) ).
fof(f484,plain,
( e3 != op(e2,e4)
| ~ sP23 ),
inference(cnf_transformation,[],[f144]) ).
fof(f492,plain,
( e3 != op(e1,e2)
| ~ sP22 ),
inference(cnf_transformation,[],[f145]) ).
fof(f496,plain,
( e4 != op(e2,e2)
| ~ sP21 ),
inference(cnf_transformation,[],[f146]) ).
fof(f501,plain,
( e4 != op(e2,e2)
| ~ sP20 ),
inference(cnf_transformation,[],[f147]) ).
fof(f506,plain,
( e0 != op(e3,e2)
| ~ sP19 ),
inference(cnf_transformation,[],[f148]) ).
fof(f512,plain,
( e0 != op(e1,e3)
| ~ sP18 ),
inference(cnf_transformation,[],[f149]) ).
fof(f514,plain,
( e1 != op(e3,e4)
| ~ sP17 ),
inference(cnf_transformation,[],[f150]) ).
fof(f521,plain,
( e1 != op(e2,e3)
| ~ sP16 ),
inference(cnf_transformation,[],[f151]) ).
fof(f527,plain,
( e2 != op(e3,e1)
| ~ sP15 ),
inference(cnf_transformation,[],[f152]) ).
fof(f529,plain,
( e2 != op(e4,e3)
| ~ sP14 ),
inference(cnf_transformation,[],[f153]) ).
fof(f538,plain,
( e3 != op(e3,e0)
| ~ sP13 ),
inference(cnf_transformation,[],[f154]) ).
fof(f543,plain,
( e3 != op(e0,e3)
| ~ sP12 ),
inference(cnf_transformation,[],[f155]) ).
fof(f545,plain,
( e4 != op(e3,e3)
| ~ sP11 ),
inference(cnf_transformation,[],[f156]) ).
fof(f550,plain,
( e4 != op(e3,e3)
| ~ sP10 ),
inference(cnf_transformation,[],[f157]) ).
fof(f554,plain,
( e0 != op(e4,e4)
| ~ sP9 ),
inference(cnf_transformation,[],[f158]) ).
fof(f559,plain,
( e0 != op(e4,e4)
| ~ sP8 ),
inference(cnf_transformation,[],[f159]) ).
fof(f566,plain,
( e1 != op(e4,e2)
| ~ sP7 ),
inference(cnf_transformation,[],[f160]) ).
fof(f570,plain,
( e1 != op(e3,e4)
| ~ sP6 ),
inference(cnf_transformation,[],[f161]) ).
fof(f575,plain,
( e2 != op(e4,e3)
| ~ sP5 ),
inference(cnf_transformation,[],[f162]) ).
fof(f582,plain,
( e2 != op(e1,e4)
| ~ sP4 ),
inference(cnf_transformation,[],[f163]) ).
fof(f587,plain,
( e3 != op(e4,e1)
| ~ sP3 ),
inference(cnf_transformation,[],[f164]) ).
fof(f591,plain,
( e3 != op(e2,e4)
| ~ sP2 ),
inference(cnf_transformation,[],[f165]) ).
fof(f598,plain,
( e4 != op(e4,e0)
| ~ sP1 ),
inference(cnf_transformation,[],[f166]) ).
fof(f603,plain,
( e4 != op(e0,e4)
| ~ sP0 ),
inference(cnf_transformation,[],[f167]) ).
fof(f605,plain,
( e0 = op(e3,op(e3,e0))
| e3 != op(e0,op(e3,e0))
| sP79
| sP78
| sP77
| sP76
| sP75
| sP74
| sP73
| sP72
| sP71
| sP70
| sP69
| sP68
| sP67
| sP66
| sP65
| sP64
| sP63
| sP62
| sP61
| sP60
| sP59
| sP58
| sP57
| sP56
| sP55
| sP54
| sP53
| sP52
| sP51
| e0 != op(unit,e0)
| e0 != op(e0,unit)
| e1 != op(unit,e1)
| e1 != op(e1,unit)
| e2 != op(unit,e2)
| e2 != op(e2,unit)
| e3 != op(unit,e3)
| e3 != op(e3,unit)
| e4 != op(unit,e4)
| e4 != op(e4,unit)
| 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 ),
inference(cnf_transformation,[],[f87]) ).
fof(f610,definition,
( spl80_1
<=> sP0 ),
introduced(definition,[new_symbols(definition,[spl80_1])],[avatar_definition]) ).
fof(f614,definition,
( spl80_2
<=> sP1 ),
introduced(definition,[new_symbols(definition,[spl80_2])],[avatar_definition]) ).
fof(f618,definition,
( spl80_3
<=> sP2 ),
introduced(definition,[new_symbols(definition,[spl80_3])],[avatar_definition]) ).
fof(f622,definition,
( spl80_4
<=> sP3 ),
introduced(definition,[new_symbols(definition,[spl80_4])],[avatar_definition]) ).
fof(f626,definition,
( spl80_5
<=> sP4 ),
introduced(definition,[new_symbols(definition,[spl80_5])],[avatar_definition]) ).
fof(f630,definition,
( spl80_6
<=> sP5 ),
introduced(definition,[new_symbols(definition,[spl80_6])],[avatar_definition]) ).
fof(f634,definition,
( spl80_7
<=> sP6 ),
introduced(definition,[new_symbols(definition,[spl80_7])],[avatar_definition]) ).
fof(f638,definition,
( spl80_8
<=> sP7 ),
introduced(definition,[new_symbols(definition,[spl80_8])],[avatar_definition]) ).
fof(f642,definition,
( spl80_9
<=> sP8 ),
introduced(definition,[new_symbols(definition,[spl80_9])],[avatar_definition]) ).
fof(f646,definition,
( spl80_10
<=> sP9 ),
introduced(definition,[new_symbols(definition,[spl80_10])],[avatar_definition]) ).
fof(f650,definition,
( spl80_11
<=> sP10 ),
introduced(definition,[new_symbols(definition,[spl80_11])],[avatar_definition]) ).
fof(f654,definition,
( spl80_12
<=> sP11 ),
introduced(definition,[new_symbols(definition,[spl80_12])],[avatar_definition]) ).
fof(f658,definition,
( spl80_13
<=> sP12 ),
introduced(definition,[new_symbols(definition,[spl80_13])],[avatar_definition]) ).
fof(f662,definition,
( spl80_14
<=> sP13 ),
introduced(definition,[new_symbols(definition,[spl80_14])],[avatar_definition]) ).
fof(f666,definition,
( spl80_15
<=> sP14 ),
introduced(definition,[new_symbols(definition,[spl80_15])],[avatar_definition]) ).
fof(f670,definition,
( spl80_16
<=> sP15 ),
introduced(definition,[new_symbols(definition,[spl80_16])],[avatar_definition]) ).
fof(f674,definition,
( spl80_17
<=> sP16 ),
introduced(definition,[new_symbols(definition,[spl80_17])],[avatar_definition]) ).
fof(f678,definition,
( spl80_18
<=> sP17 ),
introduced(definition,[new_symbols(definition,[spl80_18])],[avatar_definition]) ).
fof(f682,definition,
( spl80_19
<=> sP18 ),
introduced(definition,[new_symbols(definition,[spl80_19])],[avatar_definition]) ).
fof(f686,definition,
( spl80_20
<=> sP19 ),
introduced(definition,[new_symbols(definition,[spl80_20])],[avatar_definition]) ).
fof(f690,definition,
( spl80_21
<=> sP20 ),
introduced(definition,[new_symbols(definition,[spl80_21])],[avatar_definition]) ).
fof(f694,definition,
( spl80_22
<=> sP21 ),
introduced(definition,[new_symbols(definition,[spl80_22])],[avatar_definition]) ).
fof(f698,definition,
( spl80_23
<=> sP22 ),
introduced(definition,[new_symbols(definition,[spl80_23])],[avatar_definition]) ).
fof(f702,definition,
( spl80_24
<=> sP23 ),
introduced(definition,[new_symbols(definition,[spl80_24])],[avatar_definition]) ).
fof(f706,definition,
( spl80_25
<=> sP24 ),
introduced(definition,[new_symbols(definition,[spl80_25])],[avatar_definition]) ).
fof(f710,definition,
( spl80_26
<=> sP25 ),
introduced(definition,[new_symbols(definition,[spl80_26])],[avatar_definition]) ).
fof(f714,definition,
( spl80_27
<=> sP26 ),
introduced(definition,[new_symbols(definition,[spl80_27])],[avatar_definition]) ).
fof(f718,definition,
( spl80_28
<=> sP27 ),
introduced(definition,[new_symbols(definition,[spl80_28])],[avatar_definition]) ).
fof(f722,definition,
( spl80_29
<=> sP28 ),
introduced(definition,[new_symbols(definition,[spl80_29])],[avatar_definition]) ).
fof(f726,definition,
( spl80_30
<=> sP29 ),
introduced(definition,[new_symbols(definition,[spl80_30])],[avatar_definition]) ).
fof(f730,definition,
( spl80_31
<=> sP30 ),
introduced(definition,[new_symbols(definition,[spl80_31])],[avatar_definition]) ).
fof(f734,definition,
( spl80_32
<=> sP31 ),
introduced(definition,[new_symbols(definition,[spl80_32])],[avatar_definition]) ).
fof(f738,definition,
( spl80_33
<=> sP32 ),
introduced(definition,[new_symbols(definition,[spl80_33])],[avatar_definition]) ).
fof(f742,definition,
( spl80_34
<=> sP33 ),
introduced(definition,[new_symbols(definition,[spl80_34])],[avatar_definition]) ).
fof(f746,definition,
( spl80_35
<=> sP34 ),
introduced(definition,[new_symbols(definition,[spl80_35])],[avatar_definition]) ).
fof(f750,definition,
( spl80_36
<=> sP35 ),
introduced(definition,[new_symbols(definition,[spl80_36])],[avatar_definition]) ).
fof(f754,definition,
( spl80_37
<=> sP36 ),
introduced(definition,[new_symbols(definition,[spl80_37])],[avatar_definition]) ).
fof(f758,definition,
( spl80_38
<=> sP37 ),
introduced(definition,[new_symbols(definition,[spl80_38])],[avatar_definition]) ).
fof(f762,definition,
( spl80_39
<=> sP38 ),
introduced(definition,[new_symbols(definition,[spl80_39])],[avatar_definition]) ).
fof(f766,definition,
( spl80_40
<=> sP39 ),
introduced(definition,[new_symbols(definition,[spl80_40])],[avatar_definition]) ).
fof(f770,definition,
( spl80_41
<=> sP40 ),
introduced(definition,[new_symbols(definition,[spl80_41])],[avatar_definition]) ).
fof(f774,definition,
( spl80_42
<=> sP41 ),
introduced(definition,[new_symbols(definition,[spl80_42])],[avatar_definition]) ).
fof(f778,definition,
( spl80_43
<=> sP42 ),
introduced(definition,[new_symbols(definition,[spl80_43])],[avatar_definition]) ).
fof(f782,definition,
( spl80_44
<=> sP43 ),
introduced(definition,[new_symbols(definition,[spl80_44])],[avatar_definition]) ).
fof(f786,definition,
( spl80_45
<=> sP44 ),
introduced(definition,[new_symbols(definition,[spl80_45])],[avatar_definition]) ).
fof(f790,definition,
( spl80_46
<=> sP45 ),
introduced(definition,[new_symbols(definition,[spl80_46])],[avatar_definition]) ).
fof(f794,definition,
( spl80_47
<=> sP46 ),
introduced(definition,[new_symbols(definition,[spl80_47])],[avatar_definition]) ).
fof(f798,definition,
( spl80_48
<=> sP47 ),
introduced(definition,[new_symbols(definition,[spl80_48])],[avatar_definition]) ).
fof(f802,definition,
( spl80_49
<=> sP48 ),
introduced(definition,[new_symbols(definition,[spl80_49])],[avatar_definition]) ).
fof(f806,definition,
( spl80_50
<=> sP49 ),
introduced(definition,[new_symbols(definition,[spl80_50])],[avatar_definition]) ).
fof(f810,definition,
( spl80_51
<=> sP50 ),
introduced(definition,[new_symbols(definition,[spl80_51])],[avatar_definition]) ).
fof(f814,definition,
( spl80_52
<=> e4 = op(e4,unit) ),
introduced(definition,[new_symbols(definition,[spl80_52])],[avatar_definition]) ).
fof(f816,plain,
( e4 != op(e4,unit)
| spl80_52 ),
inference(avatar_component_clause,[],[f814]) ).
fof(f818,definition,
( spl80_53
<=> e4 = op(unit,e4) ),
introduced(definition,[new_symbols(definition,[spl80_53])],[avatar_definition]) ).
fof(f820,plain,
( e4 != op(unit,e4)
| spl80_53 ),
inference(avatar_component_clause,[],[f818]) ).
fof(f822,definition,
( spl80_54
<=> e3 = op(e3,unit) ),
introduced(definition,[new_symbols(definition,[spl80_54])],[avatar_definition]) ).
fof(f824,plain,
( e3 != op(e3,unit)
| spl80_54 ),
inference(avatar_component_clause,[],[f822]) ).
fof(f826,definition,
( spl80_55
<=> e3 = op(unit,e3) ),
introduced(definition,[new_symbols(definition,[spl80_55])],[avatar_definition]) ).
fof(f828,plain,
( e3 != op(unit,e3)
| spl80_55 ),
inference(avatar_component_clause,[],[f826]) ).
fof(f830,definition,
( spl80_56
<=> e2 = op(e2,unit) ),
introduced(definition,[new_symbols(definition,[spl80_56])],[avatar_definition]) ).
fof(f832,plain,
( e2 != op(e2,unit)
| spl80_56 ),
inference(avatar_component_clause,[],[f830]) ).
fof(f834,definition,
( spl80_57
<=> e2 = op(unit,e2) ),
introduced(definition,[new_symbols(definition,[spl80_57])],[avatar_definition]) ).
fof(f836,plain,
( e2 != op(unit,e2)
| spl80_57 ),
inference(avatar_component_clause,[],[f834]) ).
fof(f838,definition,
( spl80_58
<=> e1 = op(e1,unit) ),
introduced(definition,[new_symbols(definition,[spl80_58])],[avatar_definition]) ).
fof(f840,plain,
( e1 != op(e1,unit)
| spl80_58 ),
inference(avatar_component_clause,[],[f838]) ).
fof(f842,definition,
( spl80_59
<=> e1 = op(unit,e1) ),
introduced(definition,[new_symbols(definition,[spl80_59])],[avatar_definition]) ).
fof(f844,plain,
( e1 != op(unit,e1)
| spl80_59 ),
inference(avatar_component_clause,[],[f842]) ).
fof(f846,definition,
( spl80_60
<=> e0 = op(e0,unit) ),
introduced(definition,[new_symbols(definition,[spl80_60])],[avatar_definition]) ).
fof(f848,plain,
( e0 != op(e0,unit)
| spl80_60 ),
inference(avatar_component_clause,[],[f846]) ).
fof(f850,definition,
( spl80_61
<=> e0 = op(unit,e0) ),
introduced(definition,[new_symbols(definition,[spl80_61])],[avatar_definition]) ).
fof(f852,plain,
( e0 != op(unit,e0)
| spl80_61 ),
inference(avatar_component_clause,[],[f850]) ).
fof(f854,definition,
( spl80_62
<=> sP51 ),
introduced(definition,[new_symbols(definition,[spl80_62])],[avatar_definition]) ).
fof(f858,definition,
( spl80_63
<=> sP52 ),
introduced(definition,[new_symbols(definition,[spl80_63])],[avatar_definition]) ).
fof(f862,definition,
( spl80_64
<=> sP53 ),
introduced(definition,[new_symbols(definition,[spl80_64])],[avatar_definition]) ).
fof(f866,definition,
( spl80_65
<=> sP54 ),
introduced(definition,[new_symbols(definition,[spl80_65])],[avatar_definition]) ).
fof(f870,definition,
( spl80_66
<=> sP55 ),
introduced(definition,[new_symbols(definition,[spl80_66])],[avatar_definition]) ).
fof(f874,definition,
( spl80_67
<=> sP56 ),
introduced(definition,[new_symbols(definition,[spl80_67])],[avatar_definition]) ).
fof(f878,definition,
( spl80_68
<=> sP57 ),
introduced(definition,[new_symbols(definition,[spl80_68])],[avatar_definition]) ).
fof(f882,definition,
( spl80_69
<=> sP58 ),
introduced(definition,[new_symbols(definition,[spl80_69])],[avatar_definition]) ).
fof(f886,definition,
( spl80_70
<=> sP59 ),
introduced(definition,[new_symbols(definition,[spl80_70])],[avatar_definition]) ).
fof(f890,definition,
( spl80_71
<=> sP60 ),
introduced(definition,[new_symbols(definition,[spl80_71])],[avatar_definition]) ).
fof(f894,definition,
( spl80_72
<=> sP61 ),
introduced(definition,[new_symbols(definition,[spl80_72])],[avatar_definition]) ).
fof(f898,definition,
( spl80_73
<=> sP62 ),
introduced(definition,[new_symbols(definition,[spl80_73])],[avatar_definition]) ).
fof(f902,definition,
( spl80_74
<=> sP63 ),
introduced(definition,[new_symbols(definition,[spl80_74])],[avatar_definition]) ).
fof(f906,definition,
( spl80_75
<=> sP64 ),
introduced(definition,[new_symbols(definition,[spl80_75])],[avatar_definition]) ).
fof(f910,definition,
( spl80_76
<=> sP65 ),
introduced(definition,[new_symbols(definition,[spl80_76])],[avatar_definition]) ).
fof(f914,definition,
( spl80_77
<=> sP66 ),
introduced(definition,[new_symbols(definition,[spl80_77])],[avatar_definition]) ).
fof(f918,definition,
( spl80_78
<=> sP67 ),
introduced(definition,[new_symbols(definition,[spl80_78])],[avatar_definition]) ).
fof(f922,definition,
( spl80_79
<=> sP68 ),
introduced(definition,[new_symbols(definition,[spl80_79])],[avatar_definition]) ).
fof(f926,definition,
( spl80_80
<=> sP69 ),
introduced(definition,[new_symbols(definition,[spl80_80])],[avatar_definition]) ).
fof(f930,definition,
( spl80_81
<=> sP70 ),
introduced(definition,[new_symbols(definition,[spl80_81])],[avatar_definition]) ).
fof(f934,definition,
( spl80_82
<=> sP71 ),
introduced(definition,[new_symbols(definition,[spl80_82])],[avatar_definition]) ).
fof(f938,definition,
( spl80_83
<=> sP72 ),
introduced(definition,[new_symbols(definition,[spl80_83])],[avatar_definition]) ).
fof(f942,definition,
( spl80_84
<=> sP73 ),
introduced(definition,[new_symbols(definition,[spl80_84])],[avatar_definition]) ).
fof(f946,definition,
( spl80_85
<=> sP74 ),
introduced(definition,[new_symbols(definition,[spl80_85])],[avatar_definition]) ).
fof(f950,definition,
( spl80_86
<=> sP75 ),
introduced(definition,[new_symbols(definition,[spl80_86])],[avatar_definition]) ).
fof(f954,definition,
( spl80_87
<=> sP76 ),
introduced(definition,[new_symbols(definition,[spl80_87])],[avatar_definition]) ).
fof(f958,definition,
( spl80_88
<=> sP77 ),
introduced(definition,[new_symbols(definition,[spl80_88])],[avatar_definition]) ).
fof(f962,definition,
( spl80_89
<=> sP78 ),
introduced(definition,[new_symbols(definition,[spl80_89])],[avatar_definition]) ).
fof(f966,definition,
( spl80_90
<=> sP79 ),
introduced(definition,[new_symbols(definition,[spl80_90])],[avatar_definition]) ).
fof(f979,definition,
( spl80_93
<=> e3 = op(e0,op(e3,e0)) ),
introduced(definition,[new_symbols(definition,[spl80_93])],[avatar_definition]) ).
fof(f981,plain,
( e3 != op(e0,op(e3,e0))
| spl80_93 ),
inference(avatar_component_clause,[],[f979]) ).
fof(f983,definition,
( spl80_94
<=> e0 = op(e3,op(e3,e0)) ),
introduced(definition,[new_symbols(definition,[spl80_94])],[avatar_definition]) ).
fof(f985,plain,
( e0 = op(e3,op(e3,e0))
| ~ spl80_94 ),
inference(avatar_component_clause,[],[f983]) ).
fof(f986,plain,
( spl80_1
| spl80_2
| spl80_3
| spl80_4
| spl80_5
| spl80_6
| spl80_7
| spl80_8
| spl80_9
| spl80_10
| spl80_11
| spl80_12
| spl80_13
| spl80_14
| spl80_15
| spl80_16
| spl80_17
| spl80_18
| spl80_19
| spl80_20
| spl80_21
| spl80_22
| spl80_23
| spl80_24
| spl80_25
| spl80_26
| spl80_27
| spl80_28
| spl80_29
| spl80_30
| spl80_31
| spl80_32
| spl80_33
| spl80_34
| spl80_35
| spl80_36
| spl80_37
| spl80_38
| spl80_39
| spl80_40
| spl80_41
| spl80_42
| spl80_43
| spl80_44
| spl80_45
| spl80_46
| spl80_47
| spl80_48
| spl80_49
| spl80_50
| spl80_51
| ~ spl80_52
| ~ spl80_53
| ~ spl80_54
| ~ spl80_55
| ~ spl80_56
| ~ spl80_57
| ~ spl80_58
| ~ spl80_59
| ~ spl80_60
| ~ spl80_61
| spl80_62
| spl80_63
| spl80_64
| spl80_65
| spl80_66
| spl80_67
| spl80_68
| spl80_69
| spl80_70
| spl80_71
| spl80_72
| spl80_73
| spl80_74
| spl80_75
| spl80_76
| spl80_77
| spl80_78
| spl80_79
| spl80_80
| spl80_81
| spl80_82
| spl80_83
| spl80_84
| spl80_85
| spl80_86
| spl80_87
| spl80_88
| spl80_89
| spl80_90
| ~ spl80_93
| spl80_94 ),
inference(avatar_split_clause,[],[f605,f983,f979,f966,f962,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]) ).
fof(f1026,definition,
( spl80_103
<=> e4 = op(e0,e4) ),
introduced(definition,[new_symbols(definition,[spl80_103])],[avatar_definition]) ).
fof(f1029,plain,
( ~ spl80_1
| ~ spl80_103 ),
inference(avatar_split_clause,[],[f603,f1026,f610]) ).
fof(f1047,definition,
( spl80_107
<=> e4 = op(e4,e0) ),
introduced(definition,[new_symbols(definition,[spl80_107])],[avatar_definition]) ).
fof(f1050,plain,
( ~ spl80_2
| ~ spl80_107 ),
inference(avatar_split_clause,[],[f598,f1047,f614]) ).
fof(f1062,definition,
( spl80_110
<=> e3 = op(e2,e4) ),
introduced(definition,[new_symbols(definition,[spl80_110])],[avatar_definition]) ).
fof(f1065,plain,
( ~ spl80_3
| ~ spl80_110 ),
inference(avatar_split_clause,[],[f591,f1062,f618]) ).
fof(f1088,definition,
( spl80_115
<=> e3 = op(e4,e1) ),
introduced(definition,[new_symbols(definition,[spl80_115])],[avatar_definition]) ).
fof(f1091,plain,
( ~ spl80_4
| ~ spl80_115 ),
inference(avatar_split_clause,[],[f587,f1088,f622]) ).
fof(f1113,definition,
( spl80_120
<=> e2 = op(e1,e4) ),
introduced(definition,[new_symbols(definition,[spl80_120])],[avatar_definition]) ).
fof(f1114,plain,
( e2 = op(e1,e4)
| ~ spl80_120 ),
inference(avatar_component_clause,[],[f1113]) ).
fof(f1116,plain,
( ~ spl80_5
| ~ spl80_120 ),
inference(avatar_split_clause,[],[f582,f1113,f626]) ).
fof(f1124,definition,
( spl80_122
<=> e2 = op(e4,e3) ),
introduced(definition,[new_symbols(definition,[spl80_122])],[avatar_definition]) ).
fof(f1127,plain,
( ~ spl80_6
| ~ spl80_122 ),
inference(avatar_split_clause,[],[f575,f1124,f630]) ).
fof(f1149,definition,
( spl80_127
<=> e1 = op(e3,e4) ),
introduced(definition,[new_symbols(definition,[spl80_127])],[avatar_definition]) ).
fof(f1152,plain,
( ~ spl80_7
| ~ spl80_127 ),
inference(avatar_split_clause,[],[f570,f1149,f634]) ).
fof(f1175,definition,
( spl80_132
<=> e1 = op(e4,e2) ),
introduced(definition,[new_symbols(definition,[spl80_132])],[avatar_definition]) ).
fof(f1176,plain,
( e1 = op(e4,e2)
| ~ spl80_132 ),
inference(avatar_component_clause,[],[f1175]) ).
fof(f1178,plain,
( ~ spl80_8
| ~ spl80_132 ),
inference(avatar_split_clause,[],[f566,f1175,f638]) ).
fof(f1190,definition,
( spl80_135
<=> e0 = op(e4,e4) ),
introduced(definition,[new_symbols(definition,[spl80_135])],[avatar_definition]) ).
fof(f1193,plain,
( ~ spl80_9
| ~ spl80_135 ),
inference(avatar_split_clause,[],[f559,f1190,f642]) ).
fof(f1214,plain,
( ~ spl80_10
| ~ spl80_135 ),
inference(avatar_split_clause,[],[f554,f1190,f646]) ).
fof(f1237,definition,
( spl80_144
<=> e4 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl80_144])],[avatar_definition]) ).
fof(f1238,plain,
( e4 = op(e3,e3)
| ~ spl80_144 ),
inference(avatar_component_clause,[],[f1237]) ).
fof(f1240,plain,
( ~ spl80_11
| ~ spl80_144 ),
inference(avatar_split_clause,[],[f550,f1237,f650]) ).
fof(f1257,plain,
( ~ spl80_12
| ~ spl80_144 ),
inference(avatar_split_clause,[],[f545,f1237,f654]) ).
fof(f1290,definition,
( spl80_154
<=> e3 = op(e0,e3) ),
introduced(definition,[new_symbols(definition,[spl80_154])],[avatar_definition]) ).
fof(f1291,plain,
( e3 = op(e0,e3)
| ~ spl80_154 ),
inference(avatar_component_clause,[],[f1290]) ).
fof(f1293,plain,
( ~ spl80_13
| ~ spl80_154 ),
inference(avatar_split_clause,[],[f543,f1290,f658]) ).
fof(f1307,definition,
( spl80_157
<=> e3 = op(e3,e0) ),
introduced(definition,[new_symbols(definition,[spl80_157])],[avatar_definition]) ).
fof(f1308,plain,
( e3 = op(e3,e0)
| ~ spl80_157 ),
inference(avatar_component_clause,[],[f1307]) ).
fof(f1310,plain,
( ~ spl80_14
| ~ spl80_157 ),
inference(avatar_split_clause,[],[f538,f1307,f662]) ).
fof(f1311,plain,
( ~ spl80_15
| ~ spl80_122 ),
inference(avatar_split_clause,[],[f529,f1124,f666]) ).
fof(f1340,definition,
( spl80_163
<=> e2 = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[spl80_163])],[avatar_definition]) ).
fof(f1341,plain,
( e2 = op(e3,e1)
| ~ spl80_163 ),
inference(avatar_component_clause,[],[f1340]) ).
fof(f1343,plain,
( ~ spl80_16
| ~ spl80_163 ),
inference(avatar_split_clause,[],[f527,f1340,f670]) ).
fof(f1356,definition,
( spl80_166
<=> e1 = op(e2,e3) ),
introduced(definition,[new_symbols(definition,[spl80_166])],[avatar_definition]) ).
fof(f1357,plain,
( e1 = op(e2,e3)
| ~ spl80_166 ),
inference(avatar_component_clause,[],[f1356]) ).
fof(f1359,plain,
( ~ spl80_17
| ~ spl80_166 ),
inference(avatar_split_clause,[],[f521,f1356,f674]) ).
fof(f1370,plain,
( ~ spl80_18
| ~ spl80_127 ),
inference(avatar_split_clause,[],[f514,f1149,f678]) ).
fof(f1389,definition,
( spl80_172
<=> e0 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl80_172])],[avatar_definition]) ).
fof(f1390,plain,
( e0 = op(e3,e3)
| ~ spl80_172 ),
inference(avatar_component_clause,[],[f1389]) ).
fof(f1399,definition,
( spl80_174
<=> e0 = op(e1,e3) ),
introduced(definition,[new_symbols(definition,[spl80_174])],[avatar_definition]) ).
fof(f1400,plain,
( e0 = op(e1,e3)
| ~ spl80_174 ),
inference(avatar_component_clause,[],[f1399]) ).
fof(f1402,plain,
( ~ spl80_19
| ~ spl80_174 ),
inference(avatar_split_clause,[],[f512,f1399,f682]) ).
fof(f1411,definition,
( spl80_176
<=> e0 = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[spl80_176])],[avatar_definition]) ).
fof(f1412,plain,
( e0 = op(e3,e2)
| ~ spl80_176 ),
inference(avatar_component_clause,[],[f1411]) ).
fof(f1414,plain,
( ~ spl80_20
| ~ spl80_176 ),
inference(avatar_split_clause,[],[f506,f1411,f686]) ).
fof(f1428,definition,
( spl80_179
<=> e4 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl80_179])],[avatar_definition]) ).
fof(f1431,plain,
( ~ spl80_21
| ~ spl80_179 ),
inference(avatar_split_clause,[],[f501,f1428,f690]) ).
fof(f1444,plain,
( ~ spl80_22
| ~ spl80_179 ),
inference(avatar_split_clause,[],[f496,f1428,f694]) ).
fof(f1463,definition,
( spl80_185
<=> e3 = op(e1,e2) ),
introduced(definition,[new_symbols(definition,[spl80_185])],[avatar_definition]) ).
fof(f1464,plain,
( e3 = op(e1,e2)
| ~ spl80_185 ),
inference(avatar_component_clause,[],[f1463]) ).
fof(f1466,plain,
( ~ spl80_23
| ~ spl80_185 ),
inference(avatar_split_clause,[],[f492,f1463,f698]) ).
fof(f1472,plain,
( ~ spl80_24
| ~ spl80_110 ),
inference(avatar_split_clause,[],[f484,f1062,f702]) ).
fof(f1498,definition,
( spl80_191
<=> e2 = op(e0,e2) ),
introduced(definition,[new_symbols(definition,[spl80_191])],[avatar_definition]) ).
fof(f1501,plain,
( ~ spl80_25
| ~ spl80_191 ),
inference(avatar_split_clause,[],[f483,f1498,f706]) ).
fof(f1511,definition,
( spl80_193
<=> e2 = op(e2,e0) ),
introduced(definition,[new_symbols(definition,[spl80_193])],[avatar_definition]) ).
fof(f1514,plain,
( ~ spl80_26
| ~ spl80_193 ),
inference(avatar_split_clause,[],[f478,f1511,f710]) ).
fof(f1515,plain,
( ~ spl80_27
| ~ spl80_132 ),
inference(avatar_split_clause,[],[f469,f1175,f714]) ).
fof(f1533,plain,
( ~ spl80_28
| ~ spl80_166 ),
inference(avatar_split_clause,[],[f465,f1356,f718]) ).
fof(f1546,plain,
( ~ spl80_29
| ~ spl80_176 ),
inference(avatar_split_clause,[],[f460,f1411,f722]) ).
fof(f1566,definition,
( spl80_202
<=> e0 = op(e2,e1) ),
introduced(definition,[new_symbols(definition,[spl80_202])],[avatar_definition]) ).
fof(f1567,plain,
( e0 = op(e2,e1)
| ~ spl80_202 ),
inference(avatar_component_clause,[],[f1566]) ).
fof(f1569,plain,
( ~ spl80_30
| ~ spl80_202 ),
inference(avatar_split_clause,[],[f457,f1566,f726]) ).
fof(f1579,definition,
( spl80_204
<=> e4 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl80_204])],[avatar_definition]) ).
fof(f1582,plain,
( ~ spl80_31
| ~ spl80_204 ),
inference(avatar_split_clause,[],[f452,f1579,f730]) ).
fof(f1591,plain,
( ~ spl80_32
| ~ spl80_204 ),
inference(avatar_split_clause,[],[f447,f1579,f734]) ).
fof(f1597,plain,
( ~ spl80_33
| ~ spl80_115 ),
inference(avatar_split_clause,[],[f439,f1088,f738]) ).
fof(f1612,plain,
( ~ spl80_34
| ~ spl80_185 ),
inference(avatar_split_clause,[],[f436,f1463,f742]) ).
fof(f1620,plain,
( ~ spl80_35
| ~ spl80_163 ),
inference(avatar_split_clause,[],[f430,f1340,f746]) ).
fof(f1632,plain,
( ~ spl80_36
| ~ spl80_120 ),
inference(avatar_split_clause,[],[f424,f1113,f750]) ).
fof(f1650,definition,
( spl80_214
<=> e1 = op(e0,e1) ),
introduced(definition,[new_symbols(definition,[spl80_214])],[avatar_definition]) ).
fof(f1653,plain,
( ~ spl80_37
| ~ spl80_214 ),
inference(avatar_split_clause,[],[f423,f1650,f754]) ).
fof(f1659,definition,
( spl80_215
<=> e1 = op(e1,e0) ),
introduced(definition,[new_symbols(definition,[spl80_215])],[avatar_definition]) ).
fof(f1662,plain,
( ~ spl80_38
| ~ spl80_215 ),
inference(avatar_split_clause,[],[f418,f1659,f758]) ).
fof(f1665,plain,
( ~ spl80_39
| ~ spl80_202 ),
inference(avatar_split_clause,[],[f411,f1566,f762]) ).
fof(f1677,plain,
( ~ spl80_40
| ~ spl80_174 ),
inference(avatar_split_clause,[],[f405,f1399,f766]) ).
fof(f1685,plain,
( ~ spl80_41
| ~ spl80_107 ),
inference(avatar_split_clause,[],[f399,f1047,f770]) ).
fof(f1694,plain,
( ~ spl80_42
| ~ spl80_103 ),
inference(avatar_split_clause,[],[f394,f1026,f774]) ).
fof(f1700,plain,
( ~ spl80_43
| ~ spl80_157 ),
inference(avatar_split_clause,[],[f390,f1307,f778]) ).
fof(f1709,plain,
( ~ spl80_44
| ~ spl80_154 ),
inference(avatar_split_clause,[],[f385,f1290,f782]) ).
fof(f1715,plain,
( ~ spl80_45
| ~ spl80_193 ),
inference(avatar_split_clause,[],[f381,f1511,f786]) ).
fof(f1724,plain,
( ~ spl80_46
| ~ spl80_191 ),
inference(avatar_split_clause,[],[f376,f1498,f790]) ).
fof(f1730,plain,
( ~ spl80_47
| ~ spl80_215 ),
inference(avatar_split_clause,[],[f372,f1659,f794]) ).
fof(f1739,plain,
( ~ spl80_48
| ~ spl80_214 ),
inference(avatar_split_clause,[],[f367,f1650,f798]) ).
fof(f1746,definition,
( spl80_223
<=> e0 = op(e0,e0) ),
introduced(definition,[new_symbols(definition,[spl80_223])],[avatar_definition]) ).
fof(f1749,plain,
( ~ spl80_49
| ~ spl80_223 ),
inference(avatar_split_clause,[],[f363,f1746,f802]) ).
fof(f1754,plain,
( ~ spl80_50
| ~ spl80_223 ),
inference(avatar_split_clause,[],[f358,f1746,f806]) ).
fof(f1776,definition,
( spl80_228
<=> e0 = unit ),
introduced(definition,[new_symbols(definition,[spl80_228])],[avatar_definition]) ).
fof(f1777,plain,
( e0 = unit
| ~ spl80_228 ),
inference(avatar_component_clause,[],[f1776]) ).
fof(f1779,plain,
( ~ spl80_51
| ~ spl80_228 ),
inference(avatar_split_clause,[],[f353,f1776,f810]) ).
fof(f1784,plain,
( ~ spl80_62
| ~ spl80_135 ),
inference(avatar_split_clause,[],[f348,f1190,f854]) ).
fof(f1787,plain,
( ~ spl80_63
| ~ spl80_122 ),
inference(avatar_split_clause,[],[f341,f1124,f858]) ).
fof(f1793,plain,
( ~ spl80_64
| ~ spl80_132 ),
inference(avatar_split_clause,[],[f337,f1175,f862]) ).
fof(f1796,plain,
( ~ spl80_65
| ~ spl80_115 ),
inference(avatar_split_clause,[],[f330,f1088,f866]) ).
fof(f1800,plain,
( ~ spl80_66
| ~ spl80_107 ),
inference(avatar_split_clause,[],[f324,f1047,f870]) ).
fof(f1808,plain,
( ~ spl80_67
| ~ spl80_127 ),
inference(avatar_split_clause,[],[f322,f1149,f874]) ).
fof(f1810,plain,
( ~ spl80_68
| ~ spl80_144 ),
inference(avatar_split_clause,[],[f314,f1237,f878]) ).
fof(f1819,plain,
( ~ spl80_69
| ~ spl80_176 ),
inference(avatar_split_clause,[],[f313,f1411,f882]) ).
fof(f1822,plain,
( ~ spl80_70
| ~ spl80_163 ),
inference(avatar_split_clause,[],[f306,f1340,f886]) ).
fof(f1826,plain,
( ~ spl80_71
| ~ spl80_157 ),
inference(avatar_split_clause,[],[f300,f1307,f890]) ).
fof(f1831,plain,
( ~ spl80_72
| ~ spl80_110 ),
inference(avatar_split_clause,[],[f295,f1062,f894]) ).
fof(f1838,plain,
( ~ spl80_73
| ~ spl80_166 ),
inference(avatar_split_clause,[],[f292,f1356,f898]) ).
fof(f1840,plain,
( ~ spl80_74
| ~ spl80_179 ),
inference(avatar_split_clause,[],[f284,f1428,f902]) ).
fof(f1849,plain,
( ~ spl80_75
| ~ spl80_202 ),
inference(avatar_split_clause,[],[f283,f1566,f906]) ).
fof(f1852,plain,
( ~ spl80_76
| ~ spl80_193 ),
inference(avatar_split_clause,[],[f276,f1511,f910]) ).
fof(f1857,plain,
( ~ spl80_77
| ~ spl80_120 ),
inference(avatar_split_clause,[],[f271,f1113,f914]) ).
fof(f1864,plain,
( ~ spl80_78
| ~ spl80_174 ),
inference(avatar_split_clause,[],[f268,f1399,f918]) ).
fof(f1866,plain,
( ~ spl80_79
| ~ spl80_185 ),
inference(avatar_split_clause,[],[f260,f1463,f922]) ).
fof(f1870,plain,
( ~ spl80_80
| ~ spl80_204 ),
inference(avatar_split_clause,[],[f254,f1579,f926]) ).
fof(f1878,plain,
( ~ spl80_81
| ~ spl80_215 ),
inference(avatar_split_clause,[],[f252,f1659,f930]) ).
fof(f1880,plain,
( ~ spl80_82
| ~ spl80_103 ),
inference(avatar_split_clause,[],[f244,f1026,f934]) ).
fof(f1886,plain,
( ~ spl80_83
| ~ spl80_154 ),
inference(avatar_split_clause,[],[f240,f1290,f938]) ).
fof(f1892,plain,
( ~ spl80_84
| ~ spl80_191 ),
inference(avatar_split_clause,[],[f236,f1498,f942]) ).
fof(f1898,plain,
( ~ spl80_85
| ~ spl80_214 ),
inference(avatar_split_clause,[],[f232,f1650,f946]) ).
fof(f1904,plain,
( ~ spl80_86
| ~ spl80_223 ),
inference(avatar_split_clause,[],[f228,f1746,f950]) ).
fof(f1924,definition,
( spl80_233
<=> e1 = op(e4,op(e1,e4)) ),
introduced(definition,[new_symbols(definition,[spl80_233])],[avatar_definition]) ).
fof(f1926,plain,
( e1 != op(e4,op(e1,e4))
| spl80_233 ),
inference(avatar_component_clause,[],[f1924]) ).
fof(f1928,definition,
( spl80_234
<=> e4 = op(e1,op(e1,e4)) ),
introduced(definition,[new_symbols(definition,[spl80_234])],[avatar_definition]) ).
fof(f1930,plain,
( e4 = op(e1,op(e1,e4))
| ~ spl80_234 ),
inference(avatar_component_clause,[],[f1928]) ).
fof(f1931,plain,
( ~ spl80_87
| ~ spl80_233
| spl80_234 ),
inference(avatar_split_clause,[],[f222,f1928,f1924,f954]) ).
fof(f1951,definition,
( spl80_239
<=> e2 = op(e3,op(e2,e3)) ),
introduced(definition,[new_symbols(definition,[spl80_239])],[avatar_definition]) ).
fof(f1953,plain,
( e2 != op(e3,op(e2,e3))
| spl80_239 ),
inference(avatar_component_clause,[],[f1951]) ).
fof(f1955,definition,
( spl80_240
<=> e3 = op(e2,op(e2,e3)) ),
introduced(definition,[new_symbols(definition,[spl80_240])],[avatar_definition]) ).
fof(f1957,plain,
( e3 = op(e2,op(e2,e3))
| ~ spl80_240 ),
inference(avatar_component_clause,[],[f1955]) ).
fof(f1958,plain,
( ~ spl80_88
| ~ spl80_239
| spl80_240 ),
inference(avatar_split_clause,[],[f216,f1955,f1951,f958]) ).
fof(f1996,definition,
( spl80_249
<=> e1 = op(e2,op(e1,e2)) ),
introduced(definition,[new_symbols(definition,[spl80_249])],[avatar_definition]) ).
fof(f1998,plain,
( e1 != op(e2,op(e1,e2))
| spl80_249 ),
inference(avatar_component_clause,[],[f1996]) ).
fof(f2000,definition,
( spl80_250
<=> e2 = op(e1,op(e1,e2)) ),
introduced(definition,[new_symbols(definition,[spl80_250])],[avatar_definition]) ).
fof(f2002,plain,
( e2 = op(e1,op(e1,e2))
| ~ spl80_250 ),
inference(avatar_component_clause,[],[f2000]) ).
fof(f2003,plain,
( ~ spl80_89
| ~ spl80_249
| spl80_250 ),
inference(avatar_split_clause,[],[f212,f2000,f1996,f962]) ).
fof(f2023,definition,
( spl80_255
<=> e3 = op(e1,op(e3,e1)) ),
introduced(definition,[new_symbols(definition,[spl80_255])],[avatar_definition]) ).
fof(f2025,plain,
( e3 != op(e1,op(e3,e1))
| spl80_255 ),
inference(avatar_component_clause,[],[f2023]) ).
fof(f2027,definition,
( spl80_256
<=> e1 = op(e3,op(e3,e1)) ),
introduced(definition,[new_symbols(definition,[spl80_256])],[avatar_definition]) ).
fof(f2029,plain,
( e1 = op(e3,op(e3,e1))
| ~ spl80_256 ),
inference(avatar_component_clause,[],[f2027]) ).
fof(f2030,plain,
( ~ spl80_90
| ~ spl80_255
| spl80_256 ),
inference(avatar_split_clause,[],[f205,f2027,f2023,f966]) ).
fof(f2049,plain,
spl80_135,
inference(avatar_split_clause,[],[f178,f1190]) ).
fof(f2050,plain,
spl80_122,
inference(avatar_split_clause,[],[f179,f1124]) ).
fof(f2051,plain,
spl80_132,
inference(avatar_split_clause,[],[f180,f1175]) ).
fof(f2052,plain,
spl80_115,
inference(avatar_split_clause,[],[f181,f1088]) ).
fof(f2053,plain,
spl80_107,
inference(avatar_split_clause,[],[f182,f1047]) ).
fof(f2054,plain,
spl80_127,
inference(avatar_split_clause,[],[f183,f1149]) ).
fof(f2055,plain,
spl80_144,
inference(avatar_split_clause,[],[f184,f1237]) ).
fof(f2056,plain,
spl80_176,
inference(avatar_split_clause,[],[f185,f1411]) ).
fof(f2057,plain,
spl80_163,
inference(avatar_split_clause,[],[f186,f1340]) ).
fof(f2058,plain,
spl80_157,
inference(avatar_split_clause,[],[f187,f1307]) ).
fof(f2059,plain,
spl80_110,
inference(avatar_split_clause,[],[f188,f1062]) ).
fof(f2060,plain,
spl80_166,
inference(avatar_split_clause,[],[f189,f1356]) ).
fof(f2061,plain,
spl80_179,
inference(avatar_split_clause,[],[f190,f1428]) ).
fof(f2062,plain,
spl80_202,
inference(avatar_split_clause,[],[f191,f1566]) ).
fof(f2063,plain,
spl80_193,
inference(avatar_split_clause,[],[f192,f1511]) ).
fof(f2064,plain,
spl80_120,
inference(avatar_split_clause,[],[f193,f1113]) ).
fof(f2065,plain,
spl80_174,
inference(avatar_split_clause,[],[f194,f1399]) ).
fof(f2066,plain,
spl80_185,
inference(avatar_split_clause,[],[f195,f1463]) ).
fof(f2067,plain,
spl80_204,
inference(avatar_split_clause,[],[f196,f1579]) ).
fof(f2068,plain,
spl80_215,
inference(avatar_split_clause,[],[f197,f1659]) ).
fof(f2069,plain,
spl80_103,
inference(avatar_split_clause,[],[f198,f1026]) ).
fof(f2070,plain,
spl80_154,
inference(avatar_split_clause,[],[f199,f1290]) ).
fof(f2071,plain,
spl80_191,
inference(avatar_split_clause,[],[f200,f1498]) ).
fof(f2072,plain,
spl80_214,
inference(avatar_split_clause,[],[f201,f1650]) ).
fof(f2073,plain,
spl80_223,
inference(avatar_split_clause,[],[f202,f1746]) ).
fof(f2074,plain,
spl80_228,
inference(avatar_split_clause,[],[f203,f1776]) ).
fof(f2075,plain,
( e4 != op(e4,e0)
| spl80_52
| ~ spl80_228 ),
inference(superposition,[],[f816,f1777]) ).
fof(f2076,plain,
( ~ spl80_107
| spl80_52
| ~ spl80_228 ),
inference(avatar_split_clause,[],[f2075,f1776,f814,f1047]) ).
fof(f2078,plain,
( e4 != op(e0,e4)
| spl80_53
| ~ spl80_228 ),
inference(forward_demodulation,[],[f820,f1777]) ).
fof(f2080,plain,
( ~ spl80_103
| spl80_53
| ~ spl80_228 ),
inference(avatar_split_clause,[],[f2078,f1776,f818,f1026]) ).
fof(f2082,plain,
( e3 != op(e3,e0)
| spl80_54
| ~ spl80_228 ),
inference(forward_demodulation,[],[f824,f1777]) ).
fof(f2084,plain,
( ~ spl80_157
| spl80_54
| ~ spl80_228 ),
inference(avatar_split_clause,[],[f2082,f1776,f822,f1307]) ).
fof(f2086,plain,
( e3 != op(e0,e3)
| spl80_55
| ~ spl80_228 ),
inference(forward_demodulation,[],[f828,f1777]) ).
fof(f2088,plain,
( ~ spl80_154
| spl80_55
| ~ spl80_228 ),
inference(avatar_split_clause,[],[f2086,f1776,f826,f1290]) ).
fof(f2090,plain,
( e2 != op(e2,e0)
| spl80_56
| ~ spl80_228 ),
inference(forward_demodulation,[],[f832,f1777]) ).
fof(f2092,plain,
( ~ spl80_193
| spl80_56
| ~ spl80_228 ),
inference(avatar_split_clause,[],[f2090,f1776,f830,f1511]) ).
fof(f2094,plain,
( e2 != op(e0,e2)
| spl80_57
| ~ spl80_228 ),
inference(forward_demodulation,[],[f836,f1777]) ).
fof(f2096,plain,
( ~ spl80_191
| spl80_57
| ~ spl80_228 ),
inference(avatar_split_clause,[],[f2094,f1776,f834,f1498]) ).
fof(f2098,plain,
( e1 != op(e1,e0)
| spl80_58
| ~ spl80_228 ),
inference(forward_demodulation,[],[f840,f1777]) ).
fof(f2100,plain,
( ~ spl80_215
| spl80_58
| ~ spl80_228 ),
inference(avatar_split_clause,[],[f2098,f1776,f838,f1659]) ).
fof(f2102,plain,
( e1 != op(e0,e1)
| spl80_59
| ~ spl80_228 ),
inference(forward_demodulation,[],[f844,f1777]) ).
fof(f2104,plain,
( ~ spl80_214
| spl80_59
| ~ spl80_228 ),
inference(avatar_split_clause,[],[f2102,f1776,f842,f1650]) ).
fof(f2106,plain,
( e0 != op(e0,e0)
| spl80_60
| ~ spl80_228 ),
inference(forward_demodulation,[],[f848,f1777]) ).
fof(f2108,plain,
( ~ spl80_223
| spl80_60
| ~ spl80_228 ),
inference(avatar_split_clause,[],[f2106,f1776,f846,f1746]) ).
fof(f2110,plain,
( e0 != op(e0,e0)
| spl80_61
| ~ spl80_228 ),
inference(forward_demodulation,[],[f852,f1777]) ).
fof(f2112,plain,
( ~ spl80_223
| spl80_61
| ~ spl80_228 ),
inference(avatar_split_clause,[],[f2110,f1776,f850,f1746]) ).
fof(f2119,plain,
( e3 != op(e0,e3)
| spl80_93
| ~ spl80_157 ),
inference(superposition,[],[f981,f1308]) ).
fof(f2120,plain,
( $false
| spl80_93
| ~ spl80_154
| ~ spl80_157 ),
inference(forward_subsumption_resolution,[],[f2119,f1291]) ).
fof(f2121,plain,
( spl80_93
| ~ spl80_154
| ~ spl80_157 ),
inference(avatar_contradiction_clause,[],[f2120]) ).
fof(f2133,plain,
( e2 != op(e3,e1)
| ~ spl80_166
| spl80_239 ),
inference(forward_demodulation,[],[f1953,f1357]) ).
fof(f2134,plain,
( $false
| ~ spl80_163
| ~ spl80_166
| spl80_239 ),
inference(forward_subsumption_resolution,[],[f2133,f1341]) ).
fof(f2135,plain,
( ~ spl80_163
| ~ spl80_166
| spl80_239 ),
inference(avatar_contradiction_clause,[],[f2134]) ).
fof(f2137,plain,
( e3 = op(e2,e1)
| ~ spl80_166
| ~ spl80_240 ),
inference(forward_demodulation,[],[f1957,f1357]) ).
fof(f2138,plain,
( e0 = e3
| ~ spl80_166
| ~ spl80_202
| ~ spl80_240 ),
inference(forward_demodulation,[],[f2137,f1567]) ).
fof(f2139,plain,
( $false
| ~ spl80_166
| ~ spl80_202
| ~ spl80_240 ),
inference(forward_subsumption_resolution,[],[f2138,f175]) ).
fof(f2140,plain,
( ~ spl80_166
| ~ spl80_202
| ~ spl80_240 ),
inference(avatar_contradiction_clause,[],[f2139]) ).
fof(f2143,plain,
( e3 != op(e1,e2)
| ~ spl80_163
| spl80_255 ),
inference(forward_demodulation,[],[f2025,f1341]) ).
fof(f2148,plain,
( $false
| ~ spl80_163
| ~ spl80_185
| spl80_255 ),
inference(forward_subsumption_resolution,[],[f2143,f1464]) ).
fof(f2149,plain,
( ~ spl80_163
| ~ spl80_185
| spl80_255 ),
inference(avatar_contradiction_clause,[],[f2148]) ).
fof(f2154,plain,
( e1 != op(e2,e3)
| ~ spl80_185
| spl80_249 ),
inference(forward_demodulation,[],[f1998,f1464]) ).
fof(f2159,plain,
( $false
| ~ spl80_166
| ~ spl80_185
| spl80_249 ),
inference(forward_subsumption_resolution,[],[f2154,f1357]) ).
fof(f2160,plain,
( ~ spl80_166
| ~ spl80_185
| spl80_249 ),
inference(avatar_contradiction_clause,[],[f2159]) ).
fof(f2163,plain,
( e2 = op(e1,e3)
| ~ spl80_185
| ~ spl80_250 ),
inference(forward_demodulation,[],[f2002,f1464]) ).
fof(f2164,plain,
( e0 = e2
| ~ spl80_174
| ~ spl80_185
| ~ spl80_250 ),
inference(forward_demodulation,[],[f2163,f1400]) ).
fof(f2165,plain,
( $false
| ~ spl80_174
| ~ spl80_185
| ~ spl80_250 ),
inference(forward_subsumption_resolution,[],[f2164,f176]) ).
fof(f2166,plain,
( ~ spl80_174
| ~ spl80_185
| ~ spl80_250 ),
inference(avatar_contradiction_clause,[],[f2165]) ).
fof(f2168,plain,
( e1 = op(e3,e2)
| ~ spl80_163
| ~ spl80_256 ),
inference(forward_demodulation,[],[f2029,f1341]) ).
fof(f2170,plain,
( e0 = e1
| ~ spl80_163
| ~ spl80_176
| ~ spl80_256 ),
inference(forward_demodulation,[],[f2168,f1412]) ).
fof(f2171,plain,
( $false
| ~ spl80_163
| ~ spl80_176
| ~ spl80_256 ),
inference(forward_subsumption_resolution,[],[f2170,f177]) ).
fof(f2172,plain,
( ~ spl80_163
| ~ spl80_176
| ~ spl80_256 ),
inference(avatar_contradiction_clause,[],[f2171]) ).
fof(f2174,plain,
( e0 = op(e3,e3)
| ~ spl80_94
| ~ spl80_157 ),
inference(forward_demodulation,[],[f985,f1308]) ).
fof(f2178,plain,
( spl80_172
| ~ spl80_94
| ~ spl80_157 ),
inference(avatar_split_clause,[],[f2174,f1307,f983,f1389]) ).
fof(f2182,plain,
( e0 = e4
| ~ spl80_144
| ~ spl80_172 ),
inference(superposition,[],[f1390,f1238]) ).
fof(f2186,plain,
( $false
| ~ spl80_144
| ~ spl80_172 ),
inference(forward_subsumption_resolution,[],[f2182,f174]) ).
fof(f2187,plain,
( ~ spl80_144
| ~ spl80_172 ),
inference(avatar_contradiction_clause,[],[f2186]) ).
fof(f2192,plain,
( e1 != op(e4,e2)
| ~ spl80_120
| spl80_233 ),
inference(forward_demodulation,[],[f1926,f1114]) ).
fof(f2199,plain,
( $false
| ~ spl80_120
| ~ spl80_132
| spl80_233 ),
inference(forward_subsumption_resolution,[],[f2192,f1176]) ).
fof(f2200,plain,
( ~ spl80_120
| ~ spl80_132
| spl80_233 ),
inference(avatar_contradiction_clause,[],[f2199]) ).
fof(f2208,plain,
( e4 = op(e1,e2)
| ~ spl80_120
| ~ spl80_234 ),
inference(forward_demodulation,[],[f1930,f1114]) ).
fof(f2213,plain,
( e3 = e4
| ~ spl80_120
| ~ spl80_185
| ~ spl80_234 ),
inference(forward_demodulation,[],[f2208,f1464]) ).
fof(f2218,plain,
( $false
| ~ spl80_120
| ~ spl80_185
| ~ spl80_234 ),
inference(forward_subsumption_resolution,[],[f2213,f168]) ).
fof(f2219,plain,
( ~ spl80_120
| ~ spl80_185
| ~ spl80_234 ),
inference(avatar_contradiction_clause,[],[f2218]) ).
cnf(s2,plain,
( spl80_1
| spl80_2
| spl80_3
| spl80_4
| spl80_5
| spl80_6
| spl80_7
| spl80_8
| spl80_9
| spl80_10
| spl80_11
| spl80_12
| spl80_13
| spl80_14
| spl80_15
| spl80_16
| spl80_17
| spl80_18
| spl80_19
| spl80_20
| spl80_21
| spl80_22
| spl80_23
| spl80_24
| spl80_25
| spl80_26
| spl80_27
| spl80_28
| spl80_29
| spl80_30
| spl80_31
| spl80_32
| spl80_33
| spl80_34
| spl80_35
| spl80_36
| spl80_37
| spl80_38
| spl80_39
| spl80_40
| spl80_41
| spl80_42
| spl80_43
| spl80_44
| spl80_45
| spl80_46
| spl80_47
| spl80_48
| spl80_49
| spl80_50
| spl80_51
| ~ spl80_52
| ~ spl80_53
| ~ spl80_54
| ~ spl80_55
| ~ spl80_56
| ~ spl80_57
| ~ spl80_58
| ~ spl80_59
| ~ spl80_60
| ~ spl80_61
| spl80_62
| spl80_63
| spl80_64
| spl80_65
| spl80_66
| spl80_67
| spl80_68
| spl80_69
| spl80_70
| spl80_71
| spl80_72
| spl80_73
| spl80_74
| spl80_75
| spl80_76
| spl80_77
| spl80_78
| spl80_79
| spl80_80
| spl80_81
| spl80_82
| spl80_83
| spl80_84
| spl80_85
| spl80_86
| spl80_87
| spl80_88
| spl80_89
| spl80_90
| ~ spl80_93
| spl80_94 ),
inference(sat_conversion,[],[f986]) ).
cnf(s9,plain,
( ~ spl80_1
| ~ spl80_103 ),
inference(sat_conversion,[],[f1029]) ).
cnf(s14,plain,
( ~ spl80_2
| ~ spl80_107 ),
inference(sat_conversion,[],[f1050]) ).
cnf(s17,plain,
( ~ spl80_3
| ~ spl80_110 ),
inference(sat_conversion,[],[f1065]) ).
cnf(s23,plain,
( ~ spl80_4
| ~ spl80_115 ),
inference(sat_conversion,[],[f1091]) ).
cnf(s28,plain,
( ~ spl80_5
| ~ spl80_120 ),
inference(sat_conversion,[],[f1116]) ).
cnf(s31,plain,
( ~ spl80_6
| ~ spl80_122 ),
inference(sat_conversion,[],[f1127]) ).
cnf(s36,plain,
( ~ spl80_7
| ~ spl80_127 ),
inference(sat_conversion,[],[f1152]) ).
cnf(s42,plain,
( ~ spl80_8
| ~ spl80_132 ),
inference(sat_conversion,[],[f1178]) ).
cnf(s45,plain,
( ~ spl80_9
| ~ spl80_135 ),
inference(sat_conversion,[],[f1193]) ).
cnf(s50,plain,
( ~ spl80_10
| ~ spl80_135 ),
inference(sat_conversion,[],[f1214]) ).
cnf(s56,plain,
( ~ spl80_11
| ~ spl80_144 ),
inference(sat_conversion,[],[f1240]) ).
cnf(s61,plain,
( ~ spl80_12
| ~ spl80_144 ),
inference(sat_conversion,[],[f1257]) ).
cnf(s69,plain,
( ~ spl80_13
| ~ spl80_154 ),
inference(sat_conversion,[],[f1293]) ).
cnf(s74,plain,
( ~ spl80_14
| ~ spl80_157 ),
inference(sat_conversion,[],[f1310]) ).
cnf(s75,plain,
( ~ spl80_15
| ~ spl80_122 ),
inference(sat_conversion,[],[f1311]) ).
cnf(s83,plain,
( ~ spl80_16
| ~ spl80_163 ),
inference(sat_conversion,[],[f1343]) ).
cnf(s87,plain,
( ~ spl80_17
| ~ spl80_166 ),
inference(sat_conversion,[],[f1359]) ).
cnf(s90,plain,
( ~ spl80_18
| ~ spl80_127 ),
inference(sat_conversion,[],[f1370]) ).
cnf(s98,plain,
( ~ spl80_19
| ~ spl80_174 ),
inference(sat_conversion,[],[f1402]) ).
cnf(s102,plain,
( ~ spl80_20
| ~ spl80_176 ),
inference(sat_conversion,[],[f1414]) ).
cnf(s107,plain,
( ~ spl80_21
| ~ spl80_179 ),
inference(sat_conversion,[],[f1431]) ).
cnf(s112,plain,
( ~ spl80_22
| ~ spl80_179 ),
inference(sat_conversion,[],[f1444]) ).
cnf(s118,plain,
( ~ spl80_23
| ~ spl80_185 ),
inference(sat_conversion,[],[f1466]) ).
cnf(s120,plain,
( ~ spl80_24
| ~ spl80_110 ),
inference(sat_conversion,[],[f1472]) ).
cnf(s129,plain,
( ~ spl80_25
| ~ spl80_191 ),
inference(sat_conversion,[],[f1501]) ).
cnf(s134,plain,
( ~ spl80_26
| ~ spl80_193 ),
inference(sat_conversion,[],[f1514]) ).
cnf(s135,plain,
( ~ spl80_27
| ~ spl80_132 ),
inference(sat_conversion,[],[f1515]) ).
cnf(s141,plain,
( ~ spl80_28
| ~ spl80_166 ),
inference(sat_conversion,[],[f1533]) ).
cnf(s146,plain,
( ~ spl80_29
| ~ spl80_176 ),
inference(sat_conversion,[],[f1546]) ).
cnf(s153,plain,
( ~ spl80_30
| ~ spl80_202 ),
inference(sat_conversion,[],[f1569]) ).
cnf(s158,plain,
( ~ spl80_31
| ~ spl80_204 ),
inference(sat_conversion,[],[f1582]) ).
cnf(s163,plain,
( ~ spl80_32
| ~ spl80_204 ),
inference(sat_conversion,[],[f1591]) ).
cnf(s165,plain,
( ~ spl80_33
| ~ spl80_115 ),
inference(sat_conversion,[],[f1597]) ).
cnf(s172,plain,
( ~ spl80_34
| ~ spl80_185 ),
inference(sat_conversion,[],[f1612]) ).
cnf(s176,plain,
( ~ spl80_35
| ~ spl80_163 ),
inference(sat_conversion,[],[f1620]) ).
cnf(s180,plain,
( ~ spl80_36
| ~ spl80_120 ),
inference(sat_conversion,[],[f1632]) ).
cnf(s189,plain,
( ~ spl80_37
| ~ spl80_214 ),
inference(sat_conversion,[],[f1653]) ).
cnf(s194,plain,
( ~ spl80_38
| ~ spl80_215 ),
inference(sat_conversion,[],[f1662]) ).
cnf(s197,plain,
( ~ spl80_39
| ~ spl80_202 ),
inference(sat_conversion,[],[f1665]) ).
cnf(s201,plain,
( ~ spl80_40
| ~ spl80_174 ),
inference(sat_conversion,[],[f1677]) ).
cnf(s205,plain,
( ~ spl80_41
| ~ spl80_107 ),
inference(sat_conversion,[],[f1685]) ).
cnf(s210,plain,
( ~ spl80_42
| ~ spl80_103 ),
inference(sat_conversion,[],[f1694]) ).
cnf(s216,plain,
( ~ spl80_43
| ~ spl80_157 ),
inference(sat_conversion,[],[f1700]) ).
cnf(s221,plain,
( ~ spl80_44
| ~ spl80_154 ),
inference(sat_conversion,[],[f1709]) ).
cnf(s227,plain,
( ~ spl80_45
| ~ spl80_193 ),
inference(sat_conversion,[],[f1715]) ).
cnf(s232,plain,
( ~ spl80_46
| ~ spl80_191 ),
inference(sat_conversion,[],[f1724]) ).
cnf(s238,plain,
( ~ spl80_47
| ~ spl80_215 ),
inference(sat_conversion,[],[f1730]) ).
cnf(s243,plain,
( ~ spl80_48
| ~ spl80_214 ),
inference(sat_conversion,[],[f1739]) ).
cnf(s249,plain,
( ~ spl80_49
| ~ spl80_223 ),
inference(sat_conversion,[],[f1749]) ).
cnf(s254,plain,
( ~ spl80_50
| ~ spl80_223 ),
inference(sat_conversion,[],[f1754]) ).
cnf(s259,plain,
( ~ spl80_51
| ~ spl80_228 ),
inference(sat_conversion,[],[f1779]) ).
cnf(s264,plain,
( ~ spl80_62
| ~ spl80_135 ),
inference(sat_conversion,[],[f1784]) ).
cnf(s267,plain,
( ~ spl80_63
| ~ spl80_122 ),
inference(sat_conversion,[],[f1787]) ).
cnf(s273,plain,
( ~ spl80_64
| ~ spl80_132 ),
inference(sat_conversion,[],[f1793]) ).
cnf(s276,plain,
( ~ spl80_65
| ~ spl80_115 ),
inference(sat_conversion,[],[f1796]) ).
cnf(s280,plain,
( ~ spl80_66
| ~ spl80_107 ),
inference(sat_conversion,[],[f1800]) ).
cnf(s288,plain,
( ~ spl80_67
| ~ spl80_127 ),
inference(sat_conversion,[],[f1808]) ).
cnf(s290,plain,
( ~ spl80_68
| ~ spl80_144 ),
inference(sat_conversion,[],[f1810]) ).
cnf(s299,plain,
( ~ spl80_69
| ~ spl80_176 ),
inference(sat_conversion,[],[f1819]) ).
cnf(s302,plain,
( ~ spl80_70
| ~ spl80_163 ),
inference(sat_conversion,[],[f1822]) ).
cnf(s306,plain,
( ~ spl80_71
| ~ spl80_157 ),
inference(sat_conversion,[],[f1826]) ).
cnf(s311,plain,
( ~ spl80_72
| ~ spl80_110 ),
inference(sat_conversion,[],[f1831]) ).
cnf(s318,plain,
( ~ spl80_73
| ~ spl80_166 ),
inference(sat_conversion,[],[f1838]) ).
cnf(s320,plain,
( ~ spl80_74
| ~ spl80_179 ),
inference(sat_conversion,[],[f1840]) ).
cnf(s329,plain,
( ~ spl80_75
| ~ spl80_202 ),
inference(sat_conversion,[],[f1849]) ).
cnf(s332,plain,
( ~ spl80_76
| ~ spl80_193 ),
inference(sat_conversion,[],[f1852]) ).
cnf(s337,plain,
( ~ spl80_77
| ~ spl80_120 ),
inference(sat_conversion,[],[f1857]) ).
cnf(s344,plain,
( ~ spl80_78
| ~ spl80_174 ),
inference(sat_conversion,[],[f1864]) ).
cnf(s346,plain,
( ~ spl80_79
| ~ spl80_185 ),
inference(sat_conversion,[],[f1866]) ).
cnf(s350,plain,
( ~ spl80_80
| ~ spl80_204 ),
inference(sat_conversion,[],[f1870]) ).
cnf(s358,plain,
( ~ spl80_81
| ~ spl80_215 ),
inference(sat_conversion,[],[f1878]) ).
cnf(s360,plain,
( ~ spl80_82
| ~ spl80_103 ),
inference(sat_conversion,[],[f1880]) ).
cnf(s366,plain,
( ~ spl80_83
| ~ spl80_154 ),
inference(sat_conversion,[],[f1886]) ).
cnf(s372,plain,
( ~ spl80_84
| ~ spl80_191 ),
inference(sat_conversion,[],[f1892]) ).
cnf(s378,plain,
( ~ spl80_85
| ~ spl80_214 ),
inference(sat_conversion,[],[f1898]) ).
cnf(s384,plain,
( ~ spl80_86
| ~ spl80_223 ),
inference(sat_conversion,[],[f1904]) ).
cnf(s387,plain,
( ~ spl80_87
| ~ spl80_233
| spl80_234 ),
inference(sat_conversion,[],[f1931]) ).
cnf(s390,plain,
( ~ spl80_88
| ~ spl80_239
| spl80_240 ),
inference(sat_conversion,[],[f1958]) ).
cnf(s395,plain,
( ~ spl80_89
| ~ spl80_249
| spl80_250 ),
inference(sat_conversion,[],[f2003]) ).
cnf(s398,plain,
( ~ spl80_90
| ~ spl80_255
| spl80_256 ),
inference(sat_conversion,[],[f2030]) ).
cnf(s401,plain,
spl80_135,
inference(sat_conversion,[],[f2049]) ).
cnf(s402,plain,
spl80_122,
inference(sat_conversion,[],[f2050]) ).
cnf(s403,plain,
spl80_132,
inference(sat_conversion,[],[f2051]) ).
cnf(s404,plain,
spl80_115,
inference(sat_conversion,[],[f2052]) ).
cnf(s405,plain,
spl80_107,
inference(sat_conversion,[],[f2053]) ).
cnf(s406,plain,
spl80_127,
inference(sat_conversion,[],[f2054]) ).
cnf(s407,plain,
spl80_144,
inference(sat_conversion,[],[f2055]) ).
cnf(s408,plain,
spl80_176,
inference(sat_conversion,[],[f2056]) ).
cnf(s409,plain,
spl80_163,
inference(sat_conversion,[],[f2057]) ).
cnf(s410,plain,
spl80_157,
inference(sat_conversion,[],[f2058]) ).
cnf(s411,plain,
spl80_110,
inference(sat_conversion,[],[f2059]) ).
cnf(s412,plain,
spl80_166,
inference(sat_conversion,[],[f2060]) ).
cnf(s413,plain,
spl80_179,
inference(sat_conversion,[],[f2061]) ).
cnf(s414,plain,
spl80_202,
inference(sat_conversion,[],[f2062]) ).
cnf(s415,plain,
spl80_193,
inference(sat_conversion,[],[f2063]) ).
cnf(s416,plain,
spl80_120,
inference(sat_conversion,[],[f2064]) ).
cnf(s417,plain,
spl80_174,
inference(sat_conversion,[],[f2065]) ).
cnf(s418,plain,
spl80_185,
inference(sat_conversion,[],[f2066]) ).
cnf(s419,plain,
spl80_204,
inference(sat_conversion,[],[f2067]) ).
cnf(s420,plain,
spl80_215,
inference(sat_conversion,[],[f2068]) ).
cnf(s421,plain,
spl80_103,
inference(sat_conversion,[],[f2069]) ).
cnf(s422,plain,
spl80_154,
inference(sat_conversion,[],[f2070]) ).
cnf(s423,plain,
spl80_191,
inference(sat_conversion,[],[f2071]) ).
cnf(s424,plain,
spl80_214,
inference(sat_conversion,[],[f2072]) ).
cnf(s425,plain,
spl80_223,
inference(sat_conversion,[],[f2073]) ).
cnf(s426,plain,
spl80_228,
inference(sat_conversion,[],[f2074]) ).
cnf(s427,plain,
( spl80_52
| ~ spl80_107
| ~ spl80_228 ),
inference(sat_conversion,[],[f2076]) ).
cnf(s429,plain,
( spl80_53
| ~ spl80_103
| ~ spl80_228 ),
inference(sat_conversion,[],[f2080]) ).
cnf(s431,plain,
( spl80_54
| ~ spl80_157
| ~ spl80_228 ),
inference(sat_conversion,[],[f2084]) ).
cnf(s433,plain,
( spl80_55
| ~ spl80_154
| ~ spl80_228 ),
inference(sat_conversion,[],[f2088]) ).
cnf(s435,plain,
( spl80_56
| ~ spl80_193
| ~ spl80_228 ),
inference(sat_conversion,[],[f2092]) ).
cnf(s437,plain,
( spl80_57
| ~ spl80_191
| ~ spl80_228 ),
inference(sat_conversion,[],[f2096]) ).
cnf(s439,plain,
( spl80_58
| ~ spl80_215
| ~ spl80_228 ),
inference(sat_conversion,[],[f2100]) ).
cnf(s441,plain,
( spl80_59
| ~ spl80_214
| ~ spl80_228 ),
inference(sat_conversion,[],[f2104]) ).
cnf(s443,plain,
( spl80_60
| ~ spl80_223
| ~ spl80_228 ),
inference(sat_conversion,[],[f2108]) ).
cnf(s445,plain,
( spl80_61
| ~ spl80_223
| ~ spl80_228 ),
inference(sat_conversion,[],[f2112]) ).
cnf(s448,plain,
( spl80_93
| ~ spl80_154
| ~ spl80_157 ),
inference(sat_conversion,[],[f2121]) ).
cnf(s451,plain,
( ~ spl80_163
| ~ spl80_166
| spl80_239 ),
inference(sat_conversion,[],[f2135]) ).
cnf(s452,plain,
( ~ spl80_166
| ~ spl80_202
| ~ spl80_240 ),
inference(sat_conversion,[],[f2140]) ).
cnf(s453,plain,
( ~ spl80_163
| ~ spl80_185
| spl80_255 ),
inference(sat_conversion,[],[f2149]) ).
cnf(s454,plain,
( ~ spl80_166
| ~ spl80_185
| spl80_249 ),
inference(sat_conversion,[],[f2160]) ).
cnf(s455,plain,
( ~ spl80_174
| ~ spl80_185
| ~ spl80_250 ),
inference(sat_conversion,[],[f2166]) ).
cnf(s456,plain,
( ~ spl80_163
| ~ spl80_176
| ~ spl80_256 ),
inference(sat_conversion,[],[f2172]) ).
cnf(s457,plain,
( ~ spl80_94
| ~ spl80_157
| spl80_172 ),
inference(sat_conversion,[],[f2178]) ).
cnf(s461,plain,
( ~ spl80_144
| ~ spl80_172 ),
inference(sat_conversion,[],[f2187]) ).
cnf(s464,plain,
( ~ spl80_120
| ~ spl80_132
| spl80_233 ),
inference(sat_conversion,[],[f2200]) ).
cnf(s468,plain,
( ~ spl80_120
| ~ spl80_185
| ~ spl80_234 ),
inference(sat_conversion,[],[f2219]) ).
cnf(s469,plain,
spl80_61,
inference(rat,[],[s445,s426,s425]) ).
cnf(s470,plain,
spl80_60,
inference(rat,[],[s443,s426,s425]) ).
cnf(s471,plain,
spl80_59,
inference(rat,[],[s441,s426,s424]) ).
cnf(s472,plain,
spl80_57,
inference(rat,[],[s437,s426,s423]) ).
cnf(s473,plain,
spl80_55,
inference(rat,[],[s433,s426,s422]) ).
cnf(s474,plain,
spl80_53,
inference(rat,[],[s429,s426,s421]) ).
cnf(s475,plain,
spl80_58,
inference(rat,[],[s439,s426,s420]) ).
cnf(s477,plain,
~ spl80_250,
inference(rat,[],[s455,s418,s417]) ).
cnf(s478,plain,
~ spl80_234,
inference(rat,[],[s468,s418,s416]) ).
cnf(s479,plain,
spl80_56,
inference(rat,[],[s435,s426,s415]) ).
cnf(s481,plain,
spl80_249,
inference(rat,[],[s454,s418,s412]) ).
cnf(s482,plain,
~ spl80_240,
inference(rat,[],[s452,s414,s412]) ).
cnf(s484,plain,
spl80_54,
inference(rat,[],[s431,s426,s410]) ).
cnf(s485,plain,
spl80_93,
inference(rat,[],[s448,s422,s410]) ).
cnf(s486,plain,
spl80_255,
inference(rat,[],[s453,s418,s409]) ).
cnf(s487,plain,
spl80_239,
inference(rat,[],[s451,s412,s409]) ).
cnf(s488,plain,
~ spl80_256,
inference(rat,[],[s456,s409,s408]) ).
cnf(s489,plain,
~ spl80_172,
inference(rat,[],[s461,s407]) ).
cnf(s490,plain,
~ spl80_94,
inference(rat,[],[s457,s410,s489]) ).
cnf(s492,plain,
spl80_52,
inference(rat,[],[s427,s426,s405]) ).
cnf(s495,plain,
spl80_233,
inference(rat,[],[s464,s416,s403]) ).
cnf(s498,plain,
~ spl80_90,
inference(rat,[],[s398,s488,s486]) ).
cnf(s499,plain,
~ spl80_89,
inference(rat,[],[s395,s477,s481]) ).
cnf(s500,plain,
~ spl80_88,
inference(rat,[],[s390,s482,s487]) ).
cnf(s502,plain,
~ spl80_87,
inference(rat,[],[s387,s478,s495]) ).
cnf(s503,plain,
~ spl80_86,
inference(rat,[],[s384,s425]) ).
cnf(s504,plain,
~ spl80_85,
inference(rat,[],[s378,s424]) ).
cnf(s505,plain,
~ spl80_84,
inference(rat,[],[s372,s423]) ).
cnf(s506,plain,
~ spl80_83,
inference(rat,[],[s366,s422]) ).
cnf(s507,plain,
~ spl80_82,
inference(rat,[],[s360,s421]) ).
cnf(s508,plain,
~ spl80_81,
inference(rat,[],[s358,s420]) ).
cnf(s509,plain,
~ spl80_80,
inference(rat,[],[s350,s419]) ).
cnf(s510,plain,
~ spl80_79,
inference(rat,[],[s346,s418]) ).
cnf(s511,plain,
~ spl80_78,
inference(rat,[],[s344,s417]) ).
cnf(s512,plain,
~ spl80_77,
inference(rat,[],[s337,s416]) ).
cnf(s513,plain,
~ spl80_76,
inference(rat,[],[s332,s415]) ).
cnf(s514,plain,
~ spl80_75,
inference(rat,[],[s329,s414]) ).
cnf(s515,plain,
~ spl80_74,
inference(rat,[],[s320,s413]) ).
cnf(s516,plain,
~ spl80_73,
inference(rat,[],[s318,s412]) ).
cnf(s517,plain,
~ spl80_72,
inference(rat,[],[s311,s411]) ).
cnf(s518,plain,
~ spl80_71,
inference(rat,[],[s306,s410]) ).
cnf(s519,plain,
~ spl80_70,
inference(rat,[],[s302,s409]) ).
cnf(s520,plain,
~ spl80_69,
inference(rat,[],[s299,s408]) ).
cnf(s521,plain,
~ spl80_68,
inference(rat,[],[s290,s407]) ).
cnf(s522,plain,
~ spl80_67,
inference(rat,[],[s288,s406]) ).
cnf(s523,plain,
~ spl80_66,
inference(rat,[],[s280,s405]) ).
cnf(s524,plain,
~ spl80_65,
inference(rat,[],[s276,s404]) ).
cnf(s525,plain,
~ spl80_64,
inference(rat,[],[s273,s403]) ).
cnf(s526,plain,
~ spl80_63,
inference(rat,[],[s267,s402]) ).
cnf(s527,plain,
~ spl80_62,
inference(rat,[],[s264,s401]) ).
cnf(s528,plain,
~ spl80_51,
inference(rat,[],[s259,s426]) ).
cnf(s529,plain,
~ spl80_50,
inference(rat,[],[s254,s425]) ).
cnf(s530,plain,
~ spl80_49,
inference(rat,[],[s249,s425]) ).
cnf(s531,plain,
~ spl80_48,
inference(rat,[],[s243,s424]) ).
cnf(s532,plain,
~ spl80_47,
inference(rat,[],[s238,s420]) ).
cnf(s533,plain,
~ spl80_46,
inference(rat,[],[s232,s423]) ).
cnf(s534,plain,
~ spl80_45,
inference(rat,[],[s227,s415]) ).
cnf(s535,plain,
~ spl80_44,
inference(rat,[],[s221,s422]) ).
cnf(s536,plain,
~ spl80_43,
inference(rat,[],[s216,s410]) ).
cnf(s537,plain,
~ spl80_42,
inference(rat,[],[s210,s421]) ).
cnf(s538,plain,
~ spl80_41,
inference(rat,[],[s205,s405]) ).
cnf(s539,plain,
~ spl80_40,
inference(rat,[],[s201,s417]) ).
cnf(s540,plain,
~ spl80_39,
inference(rat,[],[s197,s414]) ).
cnf(s541,plain,
~ spl80_38,
inference(rat,[],[s194,s420]) ).
cnf(s542,plain,
~ spl80_37,
inference(rat,[],[s189,s424]) ).
cnf(s543,plain,
~ spl80_36,
inference(rat,[],[s180,s416]) ).
cnf(s544,plain,
~ spl80_35,
inference(rat,[],[s176,s409]) ).
cnf(s545,plain,
~ spl80_34,
inference(rat,[],[s172,s418]) ).
cnf(s546,plain,
~ spl80_33,
inference(rat,[],[s165,s404]) ).
cnf(s547,plain,
~ spl80_32,
inference(rat,[],[s163,s419]) ).
cnf(s548,plain,
~ spl80_31,
inference(rat,[],[s158,s419]) ).
cnf(s549,plain,
~ spl80_30,
inference(rat,[],[s153,s414]) ).
cnf(s550,plain,
~ spl80_29,
inference(rat,[],[s146,s408]) ).
cnf(s551,plain,
~ spl80_28,
inference(rat,[],[s141,s412]) ).
cnf(s552,plain,
~ spl80_27,
inference(rat,[],[s135,s403]) ).
cnf(s553,plain,
~ spl80_26,
inference(rat,[],[s134,s415]) ).
cnf(s554,plain,
~ spl80_25,
inference(rat,[],[s129,s423]) ).
cnf(s555,plain,
~ spl80_24,
inference(rat,[],[s120,s411]) ).
cnf(s556,plain,
~ spl80_23,
inference(rat,[],[s118,s418]) ).
cnf(s557,plain,
~ spl80_22,
inference(rat,[],[s112,s413]) ).
cnf(s558,plain,
~ spl80_21,
inference(rat,[],[s107,s413]) ).
cnf(s559,plain,
~ spl80_20,
inference(rat,[],[s102,s408]) ).
cnf(s560,plain,
~ spl80_19,
inference(rat,[],[s98,s417]) ).
cnf(s561,plain,
~ spl80_18,
inference(rat,[],[s90,s406]) ).
cnf(s562,plain,
~ spl80_17,
inference(rat,[],[s87,s412]) ).
cnf(s563,plain,
~ spl80_16,
inference(rat,[],[s83,s409]) ).
cnf(s564,plain,
~ spl80_15,
inference(rat,[],[s75,s402]) ).
cnf(s565,plain,
~ spl80_14,
inference(rat,[],[s74,s410]) ).
cnf(s566,plain,
~ spl80_13,
inference(rat,[],[s69,s422]) ).
cnf(s567,plain,
~ spl80_12,
inference(rat,[],[s61,s407]) ).
cnf(s568,plain,
~ spl80_11,
inference(rat,[],[s56,s407]) ).
cnf(s569,plain,
~ spl80_10,
inference(rat,[],[s50,s401]) ).
cnf(s570,plain,
~ spl80_9,
inference(rat,[],[s45,s401]) ).
cnf(s571,plain,
~ spl80_8,
inference(rat,[],[s42,s403]) ).
cnf(s572,plain,
~ spl80_7,
inference(rat,[],[s36,s406]) ).
cnf(s573,plain,
~ spl80_6,
inference(rat,[],[s31,s402]) ).
cnf(s574,plain,
~ spl80_5,
inference(rat,[],[s28,s416]) ).
cnf(s575,plain,
~ spl80_4,
inference(rat,[],[s23,s404]) ).
cnf(s576,plain,
~ spl80_3,
inference(rat,[],[s17,s411]) ).
cnf(s577,plain,
~ spl80_2,
inference(rat,[],[s14,s405]) ).
cnf(s578,plain,
~ spl80_1,
inference(rat,[],[s9,s421]) ).
cnf(s583,plain,
$false,
inference(rat,[],[s2,s490,s485,s498,s499,s500,s502,s503,s504,s505,s506,s507,s508,s509,s510,s511,s512,s513,s514,s515,s516,s517,s518,s519,s520,s521,s522,s523,s524,s525,s526,s527,s469,s470,s471,s475,s472,s479,s473,s484,s474,s492,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]) ).
fof(f2220,plain,
$false,
inference(avatar_sat_refutation,[],[s583]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : ALG092+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.09/0.11 % DateTime : Mon Sep 28 19:26:04 UTC 2026
% 0.09/0.11 % CPUTime :
% 0.09/0.11 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.13 Running first-order theorem proving
% 0.09/0.13 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
% 2.14/0.64 % (3662933)Detected formulas, will run a generic FOF schedule.
% 2.14/0.64 % (3662943)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3648054182:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.14/0.64 % (3662938)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=501514153:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.14/0.64 % (3662944)dis-21_1_sil=8000:lcm=predicate:random_seed=3011188553: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)
% 2.14/0.64 % (3662939)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=669870602:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.14/0.64 % (3662940)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=3628001453:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.14/0.64 % (3662942)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3545786965:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.14/0.64 % (3662941)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=264241186:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.14/0.64 % (3662944)Refutation not found, incomplete strategy
% 2.14/0.64 % (3662944)------------------------------
% 2.14/0.64 % (3662944)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.14/0.64 % (3662944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/0.64 % (3662944)CaDiCaL version: 2.1.3
% 2.14/0.64 % (3662944)Termination reason: Refutation not found, incomplete strategy
% 2.14/0.64 % (3662944)Time elapsed: 0.007 s
% 2.14/0.64 % (3662944)Peak memory usage: 89 MB
% 2.14/0.64 % (3662944)Instructions burned: 24 (million)
% 2.14/0.64 % (3662943)First to succeed.
% 2.14/0.64 % (3662942)Also succeeded, but the first one will report.
% 2.14/0.64 % (3662943)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3662933"
% 2.14/0.64 % (3662941)Refutation not found, incomplete strategy
% 2.14/0.64 % (3662941)------------------------------
% 2.14/0.64 % (3662941)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.14/0.64 % (3662941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/0.64 % (3662941)CaDiCaL version: 2.1.3
% 2.14/0.64 % (3662941)Termination reason: Refutation not found, incomplete strategy
% 2.14/0.64 % (3662941)Time elapsed: 0.018 s
% 2.14/0.64 % (3662941)Peak memory usage: 89 MB
% 2.14/0.64 % (3662941)Instructions burned: 71 (million)
% 2.14/0.64 % (3662944)------------------------------
% 2.14/0.64 % (3662944)------------------------------
% 2.14/0.64 % (3662941)------------------------------
% 2.14/0.64 % (3662941)------------------------------
% 2.14/0.64 % (3662943)Refutation found. Thanks to Tanya!
% 2.14/0.64 % SZS status Theorem for theBenchmark
% 2.14/0.64 % SZS output start Proof for theBenchmark
% See solution above
% 2.40/0.74 % (3662943)------------------------------
% 2.40/0.74 % (3662943)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.40/0.74 % (3662943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.40/0.74 % (3662943)CaDiCaL version: 2.1.3
% 2.40/0.74 % (3662943)Termination reason: Refutation
% 2.40/0.74 % (3662943)Time elapsed: 0.016 s
% 2.40/0.74 % (3662943)Peak memory usage: 91 MB
% 2.40/0.74 % (3662943)Instructions burned: 60 (million)
% 2.40/0.74 % (3662943)------------------------------
% 2.40/0.74 % (3662943)------------------------------
% 2.40/0.74 % (3662933)Success in time 0.311 s
% 2.40/0.74 % Vampire exiting
%------------------------------------------------------------------------------