%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG091+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 : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:09:33 AM UTC 2026
% Result : Theorem 1.90s 0.68s
% Output : Refutation 2.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 256
% Syntax : Number of formulae : 1004 ( 210 unt; 252 def)
% Number of atoms : 4302 (2479 equ)
% Maximal formula atoms : 440 ( 4 avg)
% Number of connectives : 5719 (2421 ~;1907 |;1237 &)
% ( 154 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 114 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 254 ( 252 usr; 253 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) = e0
& op(e1,e2) = e3
& op(e1,e3) = e4
& op(e1,e4) = e2
& op(e2,e0) = e2
& op(e2,e1) = e4
& op(e2,e2) = e0
& op(e2,e3) = e1
& op(e2,e4) = e3
& op(e3,e0) = e3
& op(e3,e1) = e2
& op(e3,e2) = e4
& op(e3,e3) = e0
& 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,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != 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,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != 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,e0)
& e0 != op(e0,e0) )
| ( e1 = op(e0,e0)
& e0 != op(e0,e1) )
| ( e2 = op(e0,e0)
& e0 != op(e0,e2) )
| ( e3 = op(e0,e0)
& e0 != op(e0,e3) )
| ( e4 = op(e0,e0)
& e0 != op(e0,e4) )
| ( e0 = op(e1,e1)
& e1 != op(e1,e0) )
| ( e1 = op(e1,e1)
& e1 != op(e1,e1) )
| ( e2 = op(e1,e1)
& e1 != op(e1,e2) )
| ( e3 = op(e1,e1)
& e1 != op(e1,e3) )
| ( e4 = op(e1,e1)
& e1 != op(e1,e4) )
| ( e0 = op(e2,e2)
& e2 != op(e2,e0) )
| ( e1 = op(e2,e2)
& e2 != op(e2,e1) )
| ( e2 = op(e2,e2)
& e2 != op(e2,e2) )
| ( e3 = op(e2,e2)
& e2 != op(e2,e3) )
| ( e4 = op(e2,e2)
& e2 != op(e2,e4) )
| ( e0 = op(e3,e3)
& e3 != op(e3,e0) )
| ( e1 = op(e3,e3)
& e3 != op(e3,e1) )
| ( e2 = op(e3,e3)
& e3 != op(e3,e2) )
| ( e3 = op(e3,e3)
& e3 != op(e3,e3) )
| ( e4 = op(e3,e3)
& e3 != op(e3,e4) )
| ( e0 = op(e4,e4)
& e4 != op(e4,e0) )
| ( e1 = op(e4,e4)
& e4 != op(e4,e1) )
| ( e2 = op(e4,e4)
& e4 != op(e4,e2) )
| ( e3 = op(e4,e4)
& e4 != op(e4,e3) )
| ( e4 = op(e4,e4)
& 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(e4,e4)
& e4 != op(e4,e4) )
| ~ sP76 ),
introduced(definition,[new_symbols(definition,[sP76])],[predicate_definition_introduction]) ).
fof(f84,definition,
( ( e3 = op(e4,e4)
& e4 != op(e4,e3) )
| ~ sP77 ),
introduced(definition,[new_symbols(definition,[sP77])],[predicate_definition_introduction]) ).
fof(f85,definition,
( ( e2 = op(e4,e4)
& e4 != op(e4,e2) )
| ~ sP78 ),
introduced(definition,[new_symbols(definition,[sP78])],[predicate_definition_introduction]) ).
fof(f86,definition,
( ( e1 = op(e4,e4)
& e4 != op(e4,e1) )
| ~ sP79 ),
introduced(definition,[new_symbols(definition,[sP79])],[predicate_definition_introduction]) ).
fof(f87,definition,
( ( e0 = op(e4,e4)
& e4 != op(e4,e0) )
| ~ sP80 ),
introduced(definition,[new_symbols(definition,[sP80])],[predicate_definition_introduction]) ).
fof(f88,definition,
( ( e4 = op(e3,e3)
& e3 != op(e3,e4) )
| ~ sP81 ),
introduced(definition,[new_symbols(definition,[sP81])],[predicate_definition_introduction]) ).
fof(f89,definition,
( ( e3 = op(e3,e3)
& e3 != op(e3,e3) )
| ~ sP82 ),
introduced(definition,[new_symbols(definition,[sP82])],[predicate_definition_introduction]) ).
fof(f90,definition,
( ( e2 = op(e3,e3)
& e3 != op(e3,e2) )
| ~ sP83 ),
introduced(definition,[new_symbols(definition,[sP83])],[predicate_definition_introduction]) ).
fof(f91,definition,
( ( e1 = op(e3,e3)
& e3 != op(e3,e1) )
| ~ sP84 ),
introduced(definition,[new_symbols(definition,[sP84])],[predicate_definition_introduction]) ).
fof(f92,definition,
( ( e0 = op(e3,e3)
& e3 != op(e3,e0) )
| ~ sP85 ),
introduced(definition,[new_symbols(definition,[sP85])],[predicate_definition_introduction]) ).
fof(f93,definition,
( ( e4 = op(e2,e2)
& e2 != op(e2,e4) )
| ~ sP86 ),
introduced(definition,[new_symbols(definition,[sP86])],[predicate_definition_introduction]) ).
fof(f94,definition,
( ( e3 = op(e2,e2)
& e2 != op(e2,e3) )
| ~ sP87 ),
introduced(definition,[new_symbols(definition,[sP87])],[predicate_definition_introduction]) ).
fof(f95,definition,
( ( e2 = op(e2,e2)
& e2 != op(e2,e2) )
| ~ sP88 ),
introduced(definition,[new_symbols(definition,[sP88])],[predicate_definition_introduction]) ).
fof(f96,definition,
( ( e1 = op(e2,e2)
& e2 != op(e2,e1) )
| ~ sP89 ),
introduced(definition,[new_symbols(definition,[sP89])],[predicate_definition_introduction]) ).
fof(f97,definition,
( ( e0 = op(e2,e2)
& e2 != op(e2,e0) )
| ~ sP90 ),
introduced(definition,[new_symbols(definition,[sP90])],[predicate_definition_introduction]) ).
fof(f98,definition,
( ( e4 = op(e1,e1)
& e1 != op(e1,e4) )
| ~ sP91 ),
introduced(definition,[new_symbols(definition,[sP91])],[predicate_definition_introduction]) ).
fof(f99,definition,
( ( e3 = op(e1,e1)
& e1 != op(e1,e3) )
| ~ sP92 ),
introduced(definition,[new_symbols(definition,[sP92])],[predicate_definition_introduction]) ).
fof(f100,definition,
( ( e2 = op(e1,e1)
& e1 != op(e1,e2) )
| ~ sP93 ),
introduced(definition,[new_symbols(definition,[sP93])],[predicate_definition_introduction]) ).
fof(f101,definition,
( ( e1 = op(e1,e1)
& e1 != op(e1,e1) )
| ~ sP94 ),
introduced(definition,[new_symbols(definition,[sP94])],[predicate_definition_introduction]) ).
fof(f102,definition,
( ( e0 = op(e1,e1)
& e1 != op(e1,e0) )
| ~ sP95 ),
introduced(definition,[new_symbols(definition,[sP95])],[predicate_definition_introduction]) ).
fof(f103,definition,
( ( e4 = op(e0,e0)
& e0 != op(e0,e4) )
| ~ sP96 ),
introduced(definition,[new_symbols(definition,[sP96])],[predicate_definition_introduction]) ).
fof(f104,definition,
( ( e3 = op(e0,e0)
& e0 != op(e0,e3) )
| ~ sP97 ),
introduced(definition,[new_symbols(definition,[sP97])],[predicate_definition_introduction]) ).
fof(f105,plain,
( ( e0 = op(e0,e0)
& e0 != op(e0,e0) )
| ( e1 = op(e0,e0)
& e0 != op(e0,e1) )
| ( e2 = op(e0,e0)
& e0 != op(e0,e2) )
| sP97
| sP96
| sP95
| sP94
| sP93
| sP92
| sP91
| sP90
| sP89
| sP88
| sP87
| sP86
| sP85
| sP84
| sP83
| sP82
| sP81
| sP80
| 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,f104,f103,f102,f101,f100,f99,f98,f97,f96,f95,f94,f93,f92,f91,f90,f89,f88,f87,f86,f85,f84,f83,f82,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,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(f106,plain,
( ( e3 = op(e0,e0)
& e0 != op(e0,e3) )
| ~ sP97 ),
inference(nnf_transformation,[],[f104]) ).
fof(f107,plain,
( ( e4 = op(e0,e0)
& e0 != op(e0,e4) )
| ~ sP96 ),
inference(nnf_transformation,[],[f103]) ).
fof(f108,plain,
( ( e0 = op(e1,e1)
& e1 != op(e1,e0) )
| ~ sP95 ),
inference(nnf_transformation,[],[f102]) ).
fof(f109,plain,
( ( e1 = op(e1,e1)
& e1 != op(e1,e1) )
| ~ sP94 ),
inference(nnf_transformation,[],[f101]) ).
fof(f110,plain,
( ( e2 = op(e1,e1)
& e1 != op(e1,e2) )
| ~ sP93 ),
inference(nnf_transformation,[],[f100]) ).
fof(f111,plain,
( ( e3 = op(e1,e1)
& e1 != op(e1,e3) )
| ~ sP92 ),
inference(nnf_transformation,[],[f99]) ).
fof(f112,plain,
( ( e4 = op(e1,e1)
& e1 != op(e1,e4) )
| ~ sP91 ),
inference(nnf_transformation,[],[f98]) ).
fof(f113,plain,
( ( e0 = op(e2,e2)
& e2 != op(e2,e0) )
| ~ sP90 ),
inference(nnf_transformation,[],[f97]) ).
fof(f114,plain,
( ( e1 = op(e2,e2)
& e2 != op(e2,e1) )
| ~ sP89 ),
inference(nnf_transformation,[],[f96]) ).
fof(f115,plain,
( ( e2 = op(e2,e2)
& e2 != op(e2,e2) )
| ~ sP88 ),
inference(nnf_transformation,[],[f95]) ).
fof(f116,plain,
( ( e3 = op(e2,e2)
& e2 != op(e2,e3) )
| ~ sP87 ),
inference(nnf_transformation,[],[f94]) ).
fof(f117,plain,
( ( e4 = op(e2,e2)
& e2 != op(e2,e4) )
| ~ sP86 ),
inference(nnf_transformation,[],[f93]) ).
fof(f118,plain,
( ( e0 = op(e3,e3)
& e3 != op(e3,e0) )
| ~ sP85 ),
inference(nnf_transformation,[],[f92]) ).
fof(f119,plain,
( ( e1 = op(e3,e3)
& e3 != op(e3,e1) )
| ~ sP84 ),
inference(nnf_transformation,[],[f91]) ).
fof(f120,plain,
( ( e2 = op(e3,e3)
& e3 != op(e3,e2) )
| ~ sP83 ),
inference(nnf_transformation,[],[f90]) ).
fof(f121,plain,
( ( e3 = op(e3,e3)
& e3 != op(e3,e3) )
| ~ sP82 ),
inference(nnf_transformation,[],[f89]) ).
fof(f122,plain,
( ( e4 = op(e3,e3)
& e3 != op(e3,e4) )
| ~ sP81 ),
inference(nnf_transformation,[],[f88]) ).
fof(f123,plain,
( ( e0 = op(e4,e4)
& e4 != op(e4,e0) )
| ~ sP80 ),
inference(nnf_transformation,[],[f87]) ).
fof(f124,plain,
( ( e1 = op(e4,e4)
& e4 != op(e4,e1) )
| ~ sP79 ),
inference(nnf_transformation,[],[f86]) ).
fof(f125,plain,
( ( e2 = op(e4,e4)
& e4 != op(e4,e2) )
| ~ sP78 ),
inference(nnf_transformation,[],[f85]) ).
fof(f126,plain,
( ( e3 = op(e4,e4)
& e4 != op(e4,e3) )
| ~ sP77 ),
inference(nnf_transformation,[],[f84]) ).
fof(f127,plain,
( ( e4 = op(e4,e4)
& e4 != op(e4,e4) )
| ~ sP76 ),
inference(nnf_transformation,[],[f83]) ).
fof(f128,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(f129,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(f130,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(f131,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(f132,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(f133,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(f134,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(f135,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(f136,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(f137,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(f138,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(f139,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(f140,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(f141,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(f142,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(f143,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(f144,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(f145,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(f146,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(f147,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(f148,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(f149,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(f150,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(f151,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(f152,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(f153,plain,
( ( e0 != unit
& e1 != unit
& e2 != unit
& e3 != unit
& e4 != unit )
| ~ sP50 ),
inference(nnf_transformation,[],[f57]) ).
fof(f154,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(f155,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(f156,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(f157,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(f158,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(f159,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(f160,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(f161,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(f162,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(f163,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(f164,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(f165,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(f166,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(f167,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(f168,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(f169,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(f170,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(f171,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(f172,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(f173,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(f174,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(f175,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(f176,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(f177,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(f178,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(f179,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(f180,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(f181,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(f182,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(f183,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(f184,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(f185,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(f186,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(f187,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(f188,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(f189,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(f190,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(f191,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(f192,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(f193,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(f194,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(f195,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(f196,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(f197,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(f198,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(f199,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(f200,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(f201,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(f202,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(f203,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(f210,plain,
e0 != e4,
inference(cnf_transformation,[],[f1]) ).
fof(f211,plain,
e0 != e3,
inference(cnf_transformation,[],[f1]) ).
fof(f212,plain,
e0 != e2,
inference(cnf_transformation,[],[f1]) ).
fof(f213,plain,
e0 != e1,
inference(cnf_transformation,[],[f1]) ).
fof(f214,plain,
e0 = op(e4,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f215,plain,
e2 = op(e4,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f216,plain,
e1 = op(e4,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f217,plain,
e3 = op(e4,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f218,plain,
e4 = op(e4,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f219,plain,
e1 = op(e3,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f220,plain,
e0 = op(e3,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f221,plain,
e4 = op(e3,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f222,plain,
e2 = op(e3,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f223,plain,
e3 = op(e3,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f224,plain,
e3 = op(e2,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f225,plain,
e1 = op(e2,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f226,plain,
e0 = op(e2,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f227,plain,
e4 = op(e2,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f228,plain,
e2 = op(e2,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f229,plain,
e2 = op(e1,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f230,plain,
e4 = op(e1,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f231,plain,
e3 = op(e1,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f232,plain,
e0 = op(e1,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f233,plain,
e1 = op(e1,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f234,plain,
e4 = op(e0,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f235,plain,
e3 = op(e0,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f236,plain,
e2 = op(e0,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f237,plain,
e1 = op(e0,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f238,plain,
e0 = op(e0,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f239,plain,
e0 = unit,
inference(cnf_transformation,[],[f3]) ).
fof(f241,plain,
( e3 = op(e0,e0)
| ~ sP97 ),
inference(cnf_transformation,[],[f106]) ).
fof(f243,plain,
( e4 = op(e0,e0)
| ~ sP96 ),
inference(cnf_transformation,[],[f107]) ).
fof(f244,plain,
( e1 != op(e1,e0)
| ~ sP95 ),
inference(cnf_transformation,[],[f108]) ).
fof(f246,plain,
( e1 != op(e1,e1)
| ~ sP94 ),
inference(cnf_transformation,[],[f109]) ).
fof(f247,plain,
( e1 = op(e1,e1)
| ~ sP94 ),
inference(cnf_transformation,[],[f109]) ).
fof(f249,plain,
( e2 = op(e1,e1)
| ~ sP93 ),
inference(cnf_transformation,[],[f110]) ).
fof(f251,plain,
( e3 = op(e1,e1)
| ~ sP92 ),
inference(cnf_transformation,[],[f111]) ).
fof(f253,plain,
( e4 = op(e1,e1)
| ~ sP91 ),
inference(cnf_transformation,[],[f112]) ).
fof(f254,plain,
( e2 != op(e2,e0)
| ~ sP90 ),
inference(cnf_transformation,[],[f113]) ).
fof(f257,plain,
( e1 = op(e2,e2)
| ~ sP89 ),
inference(cnf_transformation,[],[f114]) ).
fof(f258,plain,
( e2 != op(e2,e2)
| ~ sP88 ),
inference(cnf_transformation,[],[f115]) ).
fof(f259,plain,
( e2 = op(e2,e2)
| ~ sP88 ),
inference(cnf_transformation,[],[f115]) ).
fof(f261,plain,
( e3 = op(e2,e2)
| ~ sP87 ),
inference(cnf_transformation,[],[f116]) ).
fof(f263,plain,
( e4 = op(e2,e2)
| ~ sP86 ),
inference(cnf_transformation,[],[f117]) ).
fof(f264,plain,
( e3 != op(e3,e0)
| ~ sP85 ),
inference(cnf_transformation,[],[f118]) ).
fof(f267,plain,
( e1 = op(e3,e3)
| ~ sP84 ),
inference(cnf_transformation,[],[f119]) ).
fof(f269,plain,
( e2 = op(e3,e3)
| ~ sP83 ),
inference(cnf_transformation,[],[f120]) ).
fof(f270,plain,
( e3 != op(e3,e3)
| ~ sP82 ),
inference(cnf_transformation,[],[f121]) ).
fof(f271,plain,
( e3 = op(e3,e3)
| ~ sP82 ),
inference(cnf_transformation,[],[f121]) ).
fof(f273,plain,
( e4 = op(e3,e3)
| ~ sP81 ),
inference(cnf_transformation,[],[f122]) ).
fof(f274,plain,
( e4 != op(e4,e0)
| ~ sP80 ),
inference(cnf_transformation,[],[f123]) ).
fof(f277,plain,
( e1 = op(e4,e4)
| ~ sP79 ),
inference(cnf_transformation,[],[f124]) ).
fof(f279,plain,
( e2 = op(e4,e4)
| ~ sP78 ),
inference(cnf_transformation,[],[f125]) ).
fof(f281,plain,
( e3 = op(e4,e4)
| ~ sP77 ),
inference(cnf_transformation,[],[f126]) ).
fof(f282,plain,
( e4 != op(e4,e4)
| ~ sP76 ),
inference(cnf_transformation,[],[f127]) ).
fof(f283,plain,
( e4 = op(e4,e4)
| ~ sP76 ),
inference(cnf_transformation,[],[f127]) ).
fof(f288,plain,
( e0 != op(e0,e0)
| ~ sP75 ),
inference(cnf_transformation,[],[f128]) ).
fof(f292,plain,
( e1 != op(e0,e1)
| ~ sP74 ),
inference(cnf_transformation,[],[f129]) ).
fof(f296,plain,
( e2 != op(e0,e2)
| ~ sP73 ),
inference(cnf_transformation,[],[f130]) ).
fof(f300,plain,
( e3 != op(e0,e3)
| ~ sP72 ),
inference(cnf_transformation,[],[f131]) ).
fof(f304,plain,
( e4 != op(e0,e4)
| ~ sP71 ),
inference(cnf_transformation,[],[f132]) ).
fof(f312,plain,
( e1 != op(e1,e0)
| ~ sP70 ),
inference(cnf_transformation,[],[f133]) ).
fof(f318,plain,
( e0 != op(e1,e1)
| ~ sP69 ),
inference(cnf_transformation,[],[f134]) ).
fof(f320,plain,
( e3 != op(e1,e2)
| ~ sP68 ),
inference(cnf_transformation,[],[f135]) ).
fof(f324,plain,
( e4 != op(e1,e3)
| ~ sP67 ),
inference(cnf_transformation,[],[f136]) ).
fof(f331,plain,
( e2 != op(e1,e4)
| ~ sP66 ),
inference(cnf_transformation,[],[f137]) ).
fof(f336,plain,
( e2 != op(e2,e0)
| ~ sP65 ),
inference(cnf_transformation,[],[f138]) ).
fof(f339,plain,
( e4 != op(e2,e1)
| ~ sP64 ),
inference(cnf_transformation,[],[f139]) ).
fof(f348,plain,
( e0 != op(e2,e2)
| ~ sP63 ),
inference(cnf_transformation,[],[f140]) ).
fof(f352,plain,
( e1 != op(e2,e3)
| ~ sP62 ),
inference(cnf_transformation,[],[f141]) ).
fof(f355,plain,
( e3 != op(e2,e4)
| ~ sP61 ),
inference(cnf_transformation,[],[f142]) ).
fof(f360,plain,
( e3 != op(e3,e0)
| ~ sP60 ),
inference(cnf_transformation,[],[f143]) ).
fof(f366,plain,
( e2 != op(e3,e1)
| ~ sP59 ),
inference(cnf_transformation,[],[f144]) ).
fof(f369,plain,
( e4 != op(e3,e2)
| ~ sP58 ),
inference(cnf_transformation,[],[f145]) ).
fof(f378,plain,
( e0 != op(e3,e3)
| ~ sP57 ),
inference(cnf_transformation,[],[f146]) ).
fof(f382,plain,
( e1 != op(e3,e4)
| ~ sP56 ),
inference(cnf_transformation,[],[f147]) ).
fof(f384,plain,
( e4 != op(e4,e0)
| ~ sP55 ),
inference(cnf_transformation,[],[f148]) ).
fof(f390,plain,
( e3 != op(e4,e1)
| ~ sP54 ),
inference(cnf_transformation,[],[f149]) ).
fof(f397,plain,
( e1 != op(e4,e2)
| ~ sP53 ),
inference(cnf_transformation,[],[f150]) ).
fof(f401,plain,
( e2 != op(e4,e3)
| ~ sP52 ),
inference(cnf_transformation,[],[f151]) ).
fof(f408,plain,
( e0 != op(e4,e4)
| ~ sP51 ),
inference(cnf_transformation,[],[f152]) ).
fof(f413,plain,
( e0 != unit
| ~ sP50 ),
inference(cnf_transformation,[],[f153]) ).
fof(f418,plain,
( e0 != op(e0,e0)
| ~ sP49 ),
inference(cnf_transformation,[],[f154]) ).
fof(f423,plain,
( e0 != op(e0,e0)
| ~ sP48 ),
inference(cnf_transformation,[],[f155]) ).
fof(f427,plain,
( e1 != op(e0,e1)
| ~ sP47 ),
inference(cnf_transformation,[],[f156]) ).
fof(f432,plain,
( e1 != op(e1,e0)
| ~ sP46 ),
inference(cnf_transformation,[],[f157]) ).
fof(f436,plain,
( e2 != op(e0,e2)
| ~ sP45 ),
inference(cnf_transformation,[],[f158]) ).
fof(f441,plain,
( e2 != op(e2,e0)
| ~ sP44 ),
inference(cnf_transformation,[],[f159]) ).
fof(f445,plain,
( e3 != op(e0,e3)
| ~ sP43 ),
inference(cnf_transformation,[],[f160]) ).
fof(f450,plain,
( e3 != op(e3,e0)
| ~ sP42 ),
inference(cnf_transformation,[],[f161]) ).
fof(f454,plain,
( e4 != op(e0,e4)
| ~ sP41 ),
inference(cnf_transformation,[],[f162]) ).
fof(f459,plain,
( e4 != op(e4,e0)
| ~ sP40 ),
inference(cnf_transformation,[],[f163]) ).
fof(f467,plain,
( e0 != op(e1,e1)
| ~ sP39 ),
inference(cnf_transformation,[],[f164]) ).
fof(f472,plain,
( e0 != op(e1,e1)
| ~ sP38 ),
inference(cnf_transformation,[],[f165]) ).
fof(f478,plain,
( e1 != op(e1,e0)
| ~ sP37 ),
inference(cnf_transformation,[],[f166]) ).
fof(f483,plain,
( e1 != op(e0,e1)
| ~ sP36 ),
inference(cnf_transformation,[],[f167]) ).
fof(f484,plain,
( e2 != op(e1,e4)
| ~ sP35 ),
inference(cnf_transformation,[],[f168]) ).
fof(f490,plain,
( e2 != op(e3,e1)
| ~ sP34 ),
inference(cnf_transformation,[],[f169]) ).
fof(f496,plain,
( e3 != op(e1,e2)
| ~ sP33 ),
inference(cnf_transformation,[],[f170]) ).
fof(f499,plain,
( e3 != op(e4,e1)
| ~ sP32 ),
inference(cnf_transformation,[],[f171]) ).
fof(f505,plain,
( e4 != op(e1,e3)
| ~ sP31 ),
inference(cnf_transformation,[],[f172]) ).
fof(f511,plain,
( e4 != op(e2,e1)
| ~ sP30 ),
inference(cnf_transformation,[],[f173]) ).
fof(f516,plain,
( e0 != op(e2,e2)
| ~ sP29 ),
inference(cnf_transformation,[],[f174]) ).
fof(f521,plain,
( e0 != op(e2,e2)
| ~ sP28 ),
inference(cnf_transformation,[],[f175]) ).
fof(f525,plain,
( e1 != op(e2,e3)
| ~ sP27 ),
inference(cnf_transformation,[],[f176]) ).
fof(f529,plain,
( e1 != op(e4,e2)
| ~ sP26 ),
inference(cnf_transformation,[],[f177]) ).
fof(f538,plain,
( e2 != op(e2,e0)
| ~ sP25 ),
inference(cnf_transformation,[],[f178]) ).
fof(f543,plain,
( e2 != op(e0,e2)
| ~ sP24 ),
inference(cnf_transformation,[],[f179]) ).
fof(f544,plain,
( e3 != op(e2,e4)
| ~ sP23 ),
inference(cnf_transformation,[],[f180]) ).
fof(f552,plain,
( e3 != op(e1,e2)
| ~ sP22 ),
inference(cnf_transformation,[],[f181]) ).
fof(f557,plain,
( e4 != op(e2,e1)
| ~ sP21 ),
inference(cnf_transformation,[],[f182]) ).
fof(f560,plain,
( e4 != op(e3,e2)
| ~ sP20 ),
inference(cnf_transformation,[],[f183]) ).
fof(f565,plain,
( e0 != op(e3,e3)
| ~ sP19 ),
inference(cnf_transformation,[],[f184]) ).
fof(f570,plain,
( e0 != op(e3,e3)
| ~ sP18 ),
inference(cnf_transformation,[],[f185]) ).
fof(f574,plain,
( e1 != op(e3,e4)
| ~ sP17 ),
inference(cnf_transformation,[],[f186]) ).
fof(f581,plain,
( e1 != op(e2,e3)
| ~ sP16 ),
inference(cnf_transformation,[],[f187]) ).
fof(f587,plain,
( e2 != op(e3,e1)
| ~ sP15 ),
inference(cnf_transformation,[],[f188]) ).
fof(f589,plain,
( e2 != op(e4,e3)
| ~ sP14 ),
inference(cnf_transformation,[],[f189]) ).
fof(f598,plain,
( e3 != op(e3,e0)
| ~ sP13 ),
inference(cnf_transformation,[],[f190]) ).
fof(f603,plain,
( e3 != op(e0,e3)
| ~ sP12 ),
inference(cnf_transformation,[],[f191]) ).
fof(f606,plain,
( e4 != op(e3,e2)
| ~ sP11 ),
inference(cnf_transformation,[],[f192]) ).
fof(f612,plain,
( e4 != op(e1,e3)
| ~ sP10 ),
inference(cnf_transformation,[],[f193]) ).
fof(f614,plain,
( e0 != op(e4,e4)
| ~ sP9 ),
inference(cnf_transformation,[],[f194]) ).
fof(f619,plain,
( e0 != op(e4,e4)
| ~ sP8 ),
inference(cnf_transformation,[],[f195]) ).
fof(f626,plain,
( e1 != op(e4,e2)
| ~ sP7 ),
inference(cnf_transformation,[],[f196]) ).
fof(f630,plain,
( e1 != op(e3,e4)
| ~ sP6 ),
inference(cnf_transformation,[],[f197]) ).
fof(f635,plain,
( e2 != op(e4,e3)
| ~ sP5 ),
inference(cnf_transformation,[],[f198]) ).
fof(f642,plain,
( e2 != op(e1,e4)
| ~ sP4 ),
inference(cnf_transformation,[],[f199]) ).
fof(f647,plain,
( e3 != op(e4,e1)
| ~ sP3 ),
inference(cnf_transformation,[],[f200]) ).
fof(f651,plain,
( e3 != op(e2,e4)
| ~ sP2 ),
inference(cnf_transformation,[],[f201]) ).
fof(f658,plain,
( e4 != op(e4,e0)
| ~ sP1 ),
inference(cnf_transformation,[],[f202]) ).
fof(f663,plain,
( e4 != op(e0,e4)
| ~ sP0 ),
inference(cnf_transformation,[],[f203]) ).
fof(f667,plain,
( e0 != op(e0,e0)
| e1 = op(e0,e0)
| e2 = op(e0,e0)
| sP97
| sP96
| sP95
| sP94
| sP93
| sP92
| sP91
| sP90
| sP89
| sP88
| sP87
| sP86
| sP85
| sP84
| sP83
| sP82
| sP81
| sP80
| 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,[],[f105]) ).
fof(f673,definition,
( spl98_1
<=> sP0 ),
introduced(definition,[new_symbols(definition,[spl98_1])],[avatar_definition]) ).
fof(f677,definition,
( spl98_2
<=> sP1 ),
introduced(definition,[new_symbols(definition,[spl98_2])],[avatar_definition]) ).
fof(f681,definition,
( spl98_3
<=> sP2 ),
introduced(definition,[new_symbols(definition,[spl98_3])],[avatar_definition]) ).
fof(f685,definition,
( spl98_4
<=> sP3 ),
introduced(definition,[new_symbols(definition,[spl98_4])],[avatar_definition]) ).
fof(f689,definition,
( spl98_5
<=> sP4 ),
introduced(definition,[new_symbols(definition,[spl98_5])],[avatar_definition]) ).
fof(f693,definition,
( spl98_6
<=> sP5 ),
introduced(definition,[new_symbols(definition,[spl98_6])],[avatar_definition]) ).
fof(f697,definition,
( spl98_7
<=> sP6 ),
introduced(definition,[new_symbols(definition,[spl98_7])],[avatar_definition]) ).
fof(f701,definition,
( spl98_8
<=> sP7 ),
introduced(definition,[new_symbols(definition,[spl98_8])],[avatar_definition]) ).
fof(f705,definition,
( spl98_9
<=> sP8 ),
introduced(definition,[new_symbols(definition,[spl98_9])],[avatar_definition]) ).
fof(f709,definition,
( spl98_10
<=> sP9 ),
introduced(definition,[new_symbols(definition,[spl98_10])],[avatar_definition]) ).
fof(f713,definition,
( spl98_11
<=> sP10 ),
introduced(definition,[new_symbols(definition,[spl98_11])],[avatar_definition]) ).
fof(f717,definition,
( spl98_12
<=> sP11 ),
introduced(definition,[new_symbols(definition,[spl98_12])],[avatar_definition]) ).
fof(f721,definition,
( spl98_13
<=> sP12 ),
introduced(definition,[new_symbols(definition,[spl98_13])],[avatar_definition]) ).
fof(f725,definition,
( spl98_14
<=> sP13 ),
introduced(definition,[new_symbols(definition,[spl98_14])],[avatar_definition]) ).
fof(f729,definition,
( spl98_15
<=> sP14 ),
introduced(definition,[new_symbols(definition,[spl98_15])],[avatar_definition]) ).
fof(f733,definition,
( spl98_16
<=> sP15 ),
introduced(definition,[new_symbols(definition,[spl98_16])],[avatar_definition]) ).
fof(f737,definition,
( spl98_17
<=> sP16 ),
introduced(definition,[new_symbols(definition,[spl98_17])],[avatar_definition]) ).
fof(f741,definition,
( spl98_18
<=> sP17 ),
introduced(definition,[new_symbols(definition,[spl98_18])],[avatar_definition]) ).
fof(f745,definition,
( spl98_19
<=> sP18 ),
introduced(definition,[new_symbols(definition,[spl98_19])],[avatar_definition]) ).
fof(f749,definition,
( spl98_20
<=> sP19 ),
introduced(definition,[new_symbols(definition,[spl98_20])],[avatar_definition]) ).
fof(f753,definition,
( spl98_21
<=> sP20 ),
introduced(definition,[new_symbols(definition,[spl98_21])],[avatar_definition]) ).
fof(f757,definition,
( spl98_22
<=> sP21 ),
introduced(definition,[new_symbols(definition,[spl98_22])],[avatar_definition]) ).
fof(f761,definition,
( spl98_23
<=> sP22 ),
introduced(definition,[new_symbols(definition,[spl98_23])],[avatar_definition]) ).
fof(f765,definition,
( spl98_24
<=> sP23 ),
introduced(definition,[new_symbols(definition,[spl98_24])],[avatar_definition]) ).
fof(f769,definition,
( spl98_25
<=> sP24 ),
introduced(definition,[new_symbols(definition,[spl98_25])],[avatar_definition]) ).
fof(f773,definition,
( spl98_26
<=> sP25 ),
introduced(definition,[new_symbols(definition,[spl98_26])],[avatar_definition]) ).
fof(f777,definition,
( spl98_27
<=> sP26 ),
introduced(definition,[new_symbols(definition,[spl98_27])],[avatar_definition]) ).
fof(f781,definition,
( spl98_28
<=> sP27 ),
introduced(definition,[new_symbols(definition,[spl98_28])],[avatar_definition]) ).
fof(f785,definition,
( spl98_29
<=> sP28 ),
introduced(definition,[new_symbols(definition,[spl98_29])],[avatar_definition]) ).
fof(f789,definition,
( spl98_30
<=> sP29 ),
introduced(definition,[new_symbols(definition,[spl98_30])],[avatar_definition]) ).
fof(f793,definition,
( spl98_31
<=> sP30 ),
introduced(definition,[new_symbols(definition,[spl98_31])],[avatar_definition]) ).
fof(f797,definition,
( spl98_32
<=> sP31 ),
introduced(definition,[new_symbols(definition,[spl98_32])],[avatar_definition]) ).
fof(f801,definition,
( spl98_33
<=> sP32 ),
introduced(definition,[new_symbols(definition,[spl98_33])],[avatar_definition]) ).
fof(f805,definition,
( spl98_34
<=> sP33 ),
introduced(definition,[new_symbols(definition,[spl98_34])],[avatar_definition]) ).
fof(f809,definition,
( spl98_35
<=> sP34 ),
introduced(definition,[new_symbols(definition,[spl98_35])],[avatar_definition]) ).
fof(f813,definition,
( spl98_36
<=> sP35 ),
introduced(definition,[new_symbols(definition,[spl98_36])],[avatar_definition]) ).
fof(f817,definition,
( spl98_37
<=> sP36 ),
introduced(definition,[new_symbols(definition,[spl98_37])],[avatar_definition]) ).
fof(f821,definition,
( spl98_38
<=> sP37 ),
introduced(definition,[new_symbols(definition,[spl98_38])],[avatar_definition]) ).
fof(f825,definition,
( spl98_39
<=> sP38 ),
introduced(definition,[new_symbols(definition,[spl98_39])],[avatar_definition]) ).
fof(f829,definition,
( spl98_40
<=> sP39 ),
introduced(definition,[new_symbols(definition,[spl98_40])],[avatar_definition]) ).
fof(f833,definition,
( spl98_41
<=> sP40 ),
introduced(definition,[new_symbols(definition,[spl98_41])],[avatar_definition]) ).
fof(f837,definition,
( spl98_42
<=> sP41 ),
introduced(definition,[new_symbols(definition,[spl98_42])],[avatar_definition]) ).
fof(f841,definition,
( spl98_43
<=> sP42 ),
introduced(definition,[new_symbols(definition,[spl98_43])],[avatar_definition]) ).
fof(f845,definition,
( spl98_44
<=> sP43 ),
introduced(definition,[new_symbols(definition,[spl98_44])],[avatar_definition]) ).
fof(f849,definition,
( spl98_45
<=> sP44 ),
introduced(definition,[new_symbols(definition,[spl98_45])],[avatar_definition]) ).
fof(f853,definition,
( spl98_46
<=> sP45 ),
introduced(definition,[new_symbols(definition,[spl98_46])],[avatar_definition]) ).
fof(f857,definition,
( spl98_47
<=> sP46 ),
introduced(definition,[new_symbols(definition,[spl98_47])],[avatar_definition]) ).
fof(f861,definition,
( spl98_48
<=> sP47 ),
introduced(definition,[new_symbols(definition,[spl98_48])],[avatar_definition]) ).
fof(f865,definition,
( spl98_49
<=> sP48 ),
introduced(definition,[new_symbols(definition,[spl98_49])],[avatar_definition]) ).
fof(f869,definition,
( spl98_50
<=> sP49 ),
introduced(definition,[new_symbols(definition,[spl98_50])],[avatar_definition]) ).
fof(f873,definition,
( spl98_51
<=> sP50 ),
introduced(definition,[new_symbols(definition,[spl98_51])],[avatar_definition]) ).
fof(f877,definition,
( spl98_52
<=> e4 = op(e4,unit) ),
introduced(definition,[new_symbols(definition,[spl98_52])],[avatar_definition]) ).
fof(f879,plain,
( e4 != op(e4,unit)
| spl98_52 ),
inference(avatar_component_clause,[],[f877]) ).
fof(f881,definition,
( spl98_53
<=> e4 = op(unit,e4) ),
introduced(definition,[new_symbols(definition,[spl98_53])],[avatar_definition]) ).
fof(f883,plain,
( e4 != op(unit,e4)
| spl98_53 ),
inference(avatar_component_clause,[],[f881]) ).
fof(f885,definition,
( spl98_54
<=> e3 = op(e3,unit) ),
introduced(definition,[new_symbols(definition,[spl98_54])],[avatar_definition]) ).
fof(f887,plain,
( e3 != op(e3,unit)
| spl98_54 ),
inference(avatar_component_clause,[],[f885]) ).
fof(f889,definition,
( spl98_55
<=> e3 = op(unit,e3) ),
introduced(definition,[new_symbols(definition,[spl98_55])],[avatar_definition]) ).
fof(f891,plain,
( e3 != op(unit,e3)
| spl98_55 ),
inference(avatar_component_clause,[],[f889]) ).
fof(f893,definition,
( spl98_56
<=> e2 = op(e2,unit) ),
introduced(definition,[new_symbols(definition,[spl98_56])],[avatar_definition]) ).
fof(f895,plain,
( e2 != op(e2,unit)
| spl98_56 ),
inference(avatar_component_clause,[],[f893]) ).
fof(f897,definition,
( spl98_57
<=> e2 = op(unit,e2) ),
introduced(definition,[new_symbols(definition,[spl98_57])],[avatar_definition]) ).
fof(f899,plain,
( e2 != op(unit,e2)
| spl98_57 ),
inference(avatar_component_clause,[],[f897]) ).
fof(f901,definition,
( spl98_58
<=> e1 = op(e1,unit) ),
introduced(definition,[new_symbols(definition,[spl98_58])],[avatar_definition]) ).
fof(f903,plain,
( e1 != op(e1,unit)
| spl98_58 ),
inference(avatar_component_clause,[],[f901]) ).
fof(f905,definition,
( spl98_59
<=> e1 = op(unit,e1) ),
introduced(definition,[new_symbols(definition,[spl98_59])],[avatar_definition]) ).
fof(f907,plain,
( e1 != op(unit,e1)
| spl98_59 ),
inference(avatar_component_clause,[],[f905]) ).
fof(f909,definition,
( spl98_60
<=> e0 = op(e0,unit) ),
introduced(definition,[new_symbols(definition,[spl98_60])],[avatar_definition]) ).
fof(f911,plain,
( e0 != op(e0,unit)
| spl98_60 ),
inference(avatar_component_clause,[],[f909]) ).
fof(f913,definition,
( spl98_61
<=> e0 = op(unit,e0) ),
introduced(definition,[new_symbols(definition,[spl98_61])],[avatar_definition]) ).
fof(f915,plain,
( e0 != op(unit,e0)
| spl98_61 ),
inference(avatar_component_clause,[],[f913]) ).
fof(f917,definition,
( spl98_62
<=> sP51 ),
introduced(definition,[new_symbols(definition,[spl98_62])],[avatar_definition]) ).
fof(f921,definition,
( spl98_63
<=> sP52 ),
introduced(definition,[new_symbols(definition,[spl98_63])],[avatar_definition]) ).
fof(f925,definition,
( spl98_64
<=> sP53 ),
introduced(definition,[new_symbols(definition,[spl98_64])],[avatar_definition]) ).
fof(f929,definition,
( spl98_65
<=> sP54 ),
introduced(definition,[new_symbols(definition,[spl98_65])],[avatar_definition]) ).
fof(f933,definition,
( spl98_66
<=> sP55 ),
introduced(definition,[new_symbols(definition,[spl98_66])],[avatar_definition]) ).
fof(f937,definition,
( spl98_67
<=> sP56 ),
introduced(definition,[new_symbols(definition,[spl98_67])],[avatar_definition]) ).
fof(f941,definition,
( spl98_68
<=> sP57 ),
introduced(definition,[new_symbols(definition,[spl98_68])],[avatar_definition]) ).
fof(f945,definition,
( spl98_69
<=> sP58 ),
introduced(definition,[new_symbols(definition,[spl98_69])],[avatar_definition]) ).
fof(f949,definition,
( spl98_70
<=> sP59 ),
introduced(definition,[new_symbols(definition,[spl98_70])],[avatar_definition]) ).
fof(f953,definition,
( spl98_71
<=> sP60 ),
introduced(definition,[new_symbols(definition,[spl98_71])],[avatar_definition]) ).
fof(f957,definition,
( spl98_72
<=> sP61 ),
introduced(definition,[new_symbols(definition,[spl98_72])],[avatar_definition]) ).
fof(f961,definition,
( spl98_73
<=> sP62 ),
introduced(definition,[new_symbols(definition,[spl98_73])],[avatar_definition]) ).
fof(f965,definition,
( spl98_74
<=> sP63 ),
introduced(definition,[new_symbols(definition,[spl98_74])],[avatar_definition]) ).
fof(f969,definition,
( spl98_75
<=> sP64 ),
introduced(definition,[new_symbols(definition,[spl98_75])],[avatar_definition]) ).
fof(f973,definition,
( spl98_76
<=> sP65 ),
introduced(definition,[new_symbols(definition,[spl98_76])],[avatar_definition]) ).
fof(f977,definition,
( spl98_77
<=> sP66 ),
introduced(definition,[new_symbols(definition,[spl98_77])],[avatar_definition]) ).
fof(f981,definition,
( spl98_78
<=> sP67 ),
introduced(definition,[new_symbols(definition,[spl98_78])],[avatar_definition]) ).
fof(f985,definition,
( spl98_79
<=> sP68 ),
introduced(definition,[new_symbols(definition,[spl98_79])],[avatar_definition]) ).
fof(f989,definition,
( spl98_80
<=> sP69 ),
introduced(definition,[new_symbols(definition,[spl98_80])],[avatar_definition]) ).
fof(f993,definition,
( spl98_81
<=> sP70 ),
introduced(definition,[new_symbols(definition,[spl98_81])],[avatar_definition]) ).
fof(f997,definition,
( spl98_82
<=> sP71 ),
introduced(definition,[new_symbols(definition,[spl98_82])],[avatar_definition]) ).
fof(f1001,definition,
( spl98_83
<=> sP72 ),
introduced(definition,[new_symbols(definition,[spl98_83])],[avatar_definition]) ).
fof(f1005,definition,
( spl98_84
<=> sP73 ),
introduced(definition,[new_symbols(definition,[spl98_84])],[avatar_definition]) ).
fof(f1009,definition,
( spl98_85
<=> sP74 ),
introduced(definition,[new_symbols(definition,[spl98_85])],[avatar_definition]) ).
fof(f1013,definition,
( spl98_86
<=> sP75 ),
introduced(definition,[new_symbols(definition,[spl98_86])],[avatar_definition]) ).
fof(f1017,definition,
( spl98_87
<=> sP76 ),
introduced(definition,[new_symbols(definition,[spl98_87])],[avatar_definition]) ).
fof(f1021,definition,
( spl98_88
<=> sP77 ),
introduced(definition,[new_symbols(definition,[spl98_88])],[avatar_definition]) ).
fof(f1025,definition,
( spl98_89
<=> sP78 ),
introduced(definition,[new_symbols(definition,[spl98_89])],[avatar_definition]) ).
fof(f1029,definition,
( spl98_90
<=> sP79 ),
introduced(definition,[new_symbols(definition,[spl98_90])],[avatar_definition]) ).
fof(f1033,definition,
( spl98_91
<=> sP80 ),
introduced(definition,[new_symbols(definition,[spl98_91])],[avatar_definition]) ).
fof(f1037,definition,
( spl98_92
<=> sP81 ),
introduced(definition,[new_symbols(definition,[spl98_92])],[avatar_definition]) ).
fof(f1041,definition,
( spl98_93
<=> sP82 ),
introduced(definition,[new_symbols(definition,[spl98_93])],[avatar_definition]) ).
fof(f1045,definition,
( spl98_94
<=> sP83 ),
introduced(definition,[new_symbols(definition,[spl98_94])],[avatar_definition]) ).
fof(f1049,definition,
( spl98_95
<=> sP84 ),
introduced(definition,[new_symbols(definition,[spl98_95])],[avatar_definition]) ).
fof(f1053,definition,
( spl98_96
<=> sP85 ),
introduced(definition,[new_symbols(definition,[spl98_96])],[avatar_definition]) ).
fof(f1057,definition,
( spl98_97
<=> sP86 ),
introduced(definition,[new_symbols(definition,[spl98_97])],[avatar_definition]) ).
fof(f1061,definition,
( spl98_98
<=> sP87 ),
introduced(definition,[new_symbols(definition,[spl98_98])],[avatar_definition]) ).
fof(f1065,definition,
( spl98_99
<=> sP88 ),
introduced(definition,[new_symbols(definition,[spl98_99])],[avatar_definition]) ).
fof(f1069,definition,
( spl98_100
<=> sP89 ),
introduced(definition,[new_symbols(definition,[spl98_100])],[avatar_definition]) ).
fof(f1073,definition,
( spl98_101
<=> sP90 ),
introduced(definition,[new_symbols(definition,[spl98_101])],[avatar_definition]) ).
fof(f1077,definition,
( spl98_102
<=> sP91 ),
introduced(definition,[new_symbols(definition,[spl98_102])],[avatar_definition]) ).
fof(f1081,definition,
( spl98_103
<=> sP92 ),
introduced(definition,[new_symbols(definition,[spl98_103])],[avatar_definition]) ).
fof(f1085,definition,
( spl98_104
<=> sP93 ),
introduced(definition,[new_symbols(definition,[spl98_104])],[avatar_definition]) ).
fof(f1089,definition,
( spl98_105
<=> sP94 ),
introduced(definition,[new_symbols(definition,[spl98_105])],[avatar_definition]) ).
fof(f1093,definition,
( spl98_106
<=> sP95 ),
introduced(definition,[new_symbols(definition,[spl98_106])],[avatar_definition]) ).
fof(f1097,definition,
( spl98_107
<=> sP96 ),
introduced(definition,[new_symbols(definition,[spl98_107])],[avatar_definition]) ).
fof(f1101,definition,
( spl98_108
<=> sP97 ),
introduced(definition,[new_symbols(definition,[spl98_108])],[avatar_definition]) ).
fof(f1113,definition,
( spl98_111
<=> e0 = op(e0,e0) ),
introduced(definition,[new_symbols(definition,[spl98_111])],[avatar_definition]) ).
fof(f1114,plain,
( e0 = op(e0,e0)
| ~ spl98_111 ),
inference(avatar_component_clause,[],[f1113]) ).
fof(f1118,definition,
( spl98_112
<=> e2 = op(e0,e0) ),
introduced(definition,[new_symbols(definition,[spl98_112])],[avatar_definition]) ).
fof(f1120,plain,
( e2 = op(e0,e0)
| ~ spl98_112 ),
inference(avatar_component_clause,[],[f1118]) ).
fof(f1123,definition,
( spl98_113
<=> e1 = op(e0,e0) ),
introduced(definition,[new_symbols(definition,[spl98_113])],[avatar_definition]) ).
fof(f1125,plain,
( e1 = op(e0,e0)
| ~ spl98_113 ),
inference(avatar_component_clause,[],[f1123]) ).
fof(f1127,plain,
( spl98_1
| spl98_2
| spl98_3
| spl98_4
| spl98_5
| spl98_6
| spl98_7
| spl98_8
| spl98_9
| spl98_10
| spl98_11
| spl98_12
| spl98_13
| spl98_14
| spl98_15
| spl98_16
| spl98_17
| spl98_18
| spl98_19
| spl98_20
| spl98_21
| spl98_22
| spl98_23
| spl98_24
| spl98_25
| spl98_26
| spl98_27
| spl98_28
| spl98_29
| spl98_30
| spl98_31
| spl98_32
| spl98_33
| spl98_34
| spl98_35
| spl98_36
| spl98_37
| spl98_38
| spl98_39
| spl98_40
| spl98_41
| spl98_42
| spl98_43
| spl98_44
| spl98_45
| spl98_46
| spl98_47
| spl98_48
| spl98_49
| spl98_50
| spl98_51
| ~ spl98_52
| ~ spl98_53
| ~ spl98_54
| ~ spl98_55
| ~ spl98_56
| ~ spl98_57
| ~ spl98_58
| ~ spl98_59
| ~ spl98_60
| ~ spl98_61
| spl98_62
| spl98_63
| spl98_64
| spl98_65
| spl98_66
| spl98_67
| spl98_68
| spl98_69
| spl98_70
| spl98_71
| spl98_72
| spl98_73
| spl98_74
| spl98_75
| spl98_76
| spl98_77
| spl98_78
| spl98_79
| spl98_80
| spl98_81
| spl98_82
| spl98_83
| spl98_84
| spl98_85
| spl98_86
| spl98_87
| spl98_88
| spl98_89
| spl98_90
| spl98_91
| spl98_92
| spl98_93
| spl98_94
| spl98_95
| spl98_96
| spl98_97
| spl98_98
| spl98_99
| spl98_100
| spl98_101
| spl98_102
| spl98_103
| spl98_104
| spl98_105
| spl98_106
| spl98_107
| spl98_108
| spl98_112
| spl98_113
| ~ spl98_111 ),
inference(avatar_split_clause,[],[f667,f1113,f1123,f1118,f1101,f1097,f1093,f1089,f1085,f1081,f1077,f1073,f1069,f1065,f1061,f1057,f1053,f1049,f1045,f1041,f1037,f1033,f1029,f1025,f1021,f1017,f1013,f1009,f1005,f1001,f997,f993,f989,f985,f981,f977,f973,f969,f965,f961,f957,f953,f949,f945,f941,f937,f933,f929,f925,f921,f917,f913,f909,f905,f901,f897,f893,f889,f885,f881,f877,f873,f869,f865,f861,f857,f853,f849,f845,f841,f837,f833,f829,f825,f821,f817,f813,f809,f805,f801,f797,f793,f789,f785,f781,f777,f773,f769,f765,f761,f757,f753,f749,f745,f741,f737,f733,f729,f725,f721,f717,f713,f709,f705,f701,f697,f693,f689,f685,f681,f677,f673]) ).
fof(f1133,definition,
( spl98_114
<=> e4 = op(e4,e4) ),
introduced(definition,[new_symbols(definition,[spl98_114])],[avatar_definition]) ).
fof(f1153,definition,
( spl98_118
<=> e4 = op(e0,e4) ),
introduced(definition,[new_symbols(definition,[spl98_118])],[avatar_definition]) ).
fof(f1156,plain,
( ~ spl98_1
| ~ spl98_118 ),
inference(avatar_split_clause,[],[f663,f1153,f673]) ).
fof(f1174,definition,
( spl98_122
<=> e4 = op(e4,e0) ),
introduced(definition,[new_symbols(definition,[spl98_122])],[avatar_definition]) ).
fof(f1177,plain,
( ~ spl98_2
| ~ spl98_122 ),
inference(avatar_split_clause,[],[f658,f1174,f677]) ).
fof(f1179,definition,
( spl98_123
<=> e3 = op(e4,e4) ),
introduced(definition,[new_symbols(definition,[spl98_123])],[avatar_definition]) ).
fof(f1180,plain,
( e3 = op(e4,e4)
| ~ spl98_123 ),
inference(avatar_component_clause,[],[f1179]) ).
fof(f1189,definition,
( spl98_125
<=> e3 = op(e2,e4) ),
introduced(definition,[new_symbols(definition,[spl98_125])],[avatar_definition]) ).
fof(f1192,plain,
( ~ spl98_3
| ~ spl98_125 ),
inference(avatar_split_clause,[],[f651,f1189,f681]) ).
fof(f1215,definition,
( spl98_130
<=> e3 = op(e4,e1) ),
introduced(definition,[new_symbols(definition,[spl98_130])],[avatar_definition]) ).
fof(f1218,plain,
( ~ spl98_4
| ~ spl98_130 ),
inference(avatar_split_clause,[],[f647,f1215,f685]) ).
fof(f1225,definition,
( spl98_132
<=> e2 = op(e4,e4) ),
introduced(definition,[new_symbols(definition,[spl98_132])],[avatar_definition]) ).
fof(f1226,plain,
( e2 = op(e4,e4)
| ~ spl98_132 ),
inference(avatar_component_clause,[],[f1225]) ).
fof(f1240,definition,
( spl98_135
<=> e2 = op(e1,e4) ),
introduced(definition,[new_symbols(definition,[spl98_135])],[avatar_definition]) ).
fof(f1243,plain,
( ~ spl98_5
| ~ spl98_135 ),
inference(avatar_split_clause,[],[f642,f1240,f689]) ).
fof(f1251,definition,
( spl98_137
<=> e2 = op(e4,e3) ),
introduced(definition,[new_symbols(definition,[spl98_137])],[avatar_definition]) ).
fof(f1254,plain,
( ~ spl98_6
| ~ spl98_137 ),
inference(avatar_split_clause,[],[f635,f1251,f693]) ).
fof(f1271,definition,
( spl98_141
<=> e1 = op(e4,e4) ),
introduced(definition,[new_symbols(definition,[spl98_141])],[avatar_definition]) ).
fof(f1272,plain,
( e1 = op(e4,e4)
| ~ spl98_141 ),
inference(avatar_component_clause,[],[f1271]) ).
fof(f1276,definition,
( spl98_142
<=> e1 = op(e3,e4) ),
introduced(definition,[new_symbols(definition,[spl98_142])],[avatar_definition]) ).
fof(f1279,plain,
( ~ spl98_7
| ~ spl98_142 ),
inference(avatar_split_clause,[],[f630,f1276,f697]) ).
fof(f1302,definition,
( spl98_147
<=> e1 = op(e4,e2) ),
introduced(definition,[new_symbols(definition,[spl98_147])],[avatar_definition]) ).
fof(f1305,plain,
( ~ spl98_8
| ~ spl98_147 ),
inference(avatar_split_clause,[],[f626,f1302,f701]) ).
fof(f1317,definition,
( spl98_150
<=> e0 = op(e4,e4) ),
introduced(definition,[new_symbols(definition,[spl98_150])],[avatar_definition]) ).
fof(f1318,plain,
( e0 = op(e4,e4)
| ~ spl98_150 ),
inference(avatar_component_clause,[],[f1317]) ).
fof(f1320,plain,
( ~ spl98_9
| ~ spl98_150 ),
inference(avatar_split_clause,[],[f619,f1317,f705]) ).
fof(f1341,plain,
( ~ spl98_10
| ~ spl98_150 ),
inference(avatar_split_clause,[],[f614,f1317,f709]) ).
fof(f1364,definition,
( spl98_159
<=> e4 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl98_159])],[avatar_definition]) ).
fof(f1365,plain,
( e4 = op(e3,e3)
| ~ spl98_159 ),
inference(avatar_component_clause,[],[f1364]) ).
fof(f1374,definition,
( spl98_161
<=> e4 = op(e1,e3) ),
introduced(definition,[new_symbols(definition,[spl98_161])],[avatar_definition]) ).
fof(f1377,plain,
( ~ spl98_11
| ~ spl98_161 ),
inference(avatar_split_clause,[],[f612,f1374,f713]) ).
fof(f1386,definition,
( spl98_163
<=> e4 = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[spl98_163])],[avatar_definition]) ).
fof(f1389,plain,
( ~ spl98_12
| ~ spl98_163 ),
inference(avatar_split_clause,[],[f606,f1386,f717]) ).
fof(f1402,definition,
( spl98_166
<=> e3 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl98_166])],[avatar_definition]) ).
fof(f1417,definition,
( spl98_169
<=> e3 = op(e0,e3) ),
introduced(definition,[new_symbols(definition,[spl98_169])],[avatar_definition]) ).
fof(f1420,plain,
( ~ spl98_13
| ~ spl98_169 ),
inference(avatar_split_clause,[],[f603,f1417,f721]) ).
fof(f1434,definition,
( spl98_172
<=> e3 = op(e3,e0) ),
introduced(definition,[new_symbols(definition,[spl98_172])],[avatar_definition]) ).
fof(f1437,plain,
( ~ spl98_14
| ~ spl98_172 ),
inference(avatar_split_clause,[],[f598,f1434,f725]) ).
fof(f1438,plain,
( ~ spl98_15
| ~ spl98_137 ),
inference(avatar_split_clause,[],[f589,f1251,f729]) ).
fof(f1440,definition,
( spl98_173
<=> e2 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl98_173])],[avatar_definition]) ).
fof(f1441,plain,
( e2 = op(e3,e3)
| ~ spl98_173 ),
inference(avatar_component_clause,[],[f1440]) ).
fof(f1467,definition,
( spl98_178
<=> e2 = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[spl98_178])],[avatar_definition]) ).
fof(f1470,plain,
( ~ spl98_16
| ~ spl98_178 ),
inference(avatar_split_clause,[],[f587,f1467,f733]) ).
fof(f1478,definition,
( spl98_180
<=> e1 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl98_180])],[avatar_definition]) ).
fof(f1479,plain,
( e1 = op(e3,e3)
| ~ spl98_180 ),
inference(avatar_component_clause,[],[f1478]) ).
fof(f1483,definition,
( spl98_181
<=> e1 = op(e2,e3) ),
introduced(definition,[new_symbols(definition,[spl98_181])],[avatar_definition]) ).
fof(f1486,plain,
( ~ spl98_17
| ~ spl98_181 ),
inference(avatar_split_clause,[],[f581,f1483,f737]) ).
fof(f1497,plain,
( ~ spl98_18
| ~ spl98_142 ),
inference(avatar_split_clause,[],[f574,f1276,f741]) ).
fof(f1516,definition,
( spl98_187
<=> e0 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl98_187])],[avatar_definition]) ).
fof(f1517,plain,
( e0 = op(e3,e3)
| ~ spl98_187 ),
inference(avatar_component_clause,[],[f1516]) ).
fof(f1519,plain,
( ~ spl98_19
| ~ spl98_187 ),
inference(avatar_split_clause,[],[f570,f1516,f745]) ).
fof(f1536,plain,
( ~ spl98_20
| ~ spl98_187 ),
inference(avatar_split_clause,[],[f565,f1516,f749]) ).
fof(f1553,plain,
( ~ spl98_21
| ~ spl98_163 ),
inference(avatar_split_clause,[],[f560,f1386,f753]) ).
fof(f1555,definition,
( spl98_194
<=> e4 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl98_194])],[avatar_definition]) ).
fof(f1556,plain,
( e4 = op(e2,e2)
| ~ spl98_194 ),
inference(avatar_component_clause,[],[f1555]) ).
fof(f1573,definition,
( spl98_197
<=> e4 = op(e2,e1) ),
introduced(definition,[new_symbols(definition,[spl98_197])],[avatar_definition]) ).
fof(f1576,plain,
( ~ spl98_22
| ~ spl98_197 ),
inference(avatar_split_clause,[],[f557,f1573,f757]) ).
fof(f1585,definition,
( spl98_199
<=> e3 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl98_199])],[avatar_definition]) ).
fof(f1586,plain,
( e3 = op(e2,e2)
| ~ spl98_199 ),
inference(avatar_component_clause,[],[f1585]) ).
fof(f1590,definition,
( spl98_200
<=> e3 = op(e1,e2) ),
introduced(definition,[new_symbols(definition,[spl98_200])],[avatar_definition]) ).
fof(f1593,plain,
( ~ spl98_23
| ~ spl98_200 ),
inference(avatar_split_clause,[],[f552,f1590,f761]) ).
fof(f1599,plain,
( ~ spl98_24
| ~ spl98_125 ),
inference(avatar_split_clause,[],[f544,f1189,f765]) ).
fof(f1615,definition,
( spl98_204
<=> e2 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl98_204])],[avatar_definition]) ).
fof(f1625,definition,
( spl98_206
<=> e2 = op(e0,e2) ),
introduced(definition,[new_symbols(definition,[spl98_206])],[avatar_definition]) ).
fof(f1628,plain,
( ~ spl98_25
| ~ spl98_206 ),
inference(avatar_split_clause,[],[f543,f1625,f769]) ).
fof(f1638,definition,
( spl98_208
<=> e2 = op(e2,e0) ),
introduced(definition,[new_symbols(definition,[spl98_208])],[avatar_definition]) ).
fof(f1641,plain,
( ~ spl98_26
| ~ spl98_208 ),
inference(avatar_split_clause,[],[f538,f1638,f773]) ).
fof(f1642,plain,
( ~ spl98_27
| ~ spl98_147 ),
inference(avatar_split_clause,[],[f529,f1302,f777]) ).
fof(f1645,definition,
( spl98_209
<=> e1 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl98_209])],[avatar_definition]) ).
fof(f1646,plain,
( e1 = op(e2,e2)
| ~ spl98_209 ),
inference(avatar_component_clause,[],[f1645]) ).
fof(f1660,plain,
( ~ spl98_28
| ~ spl98_181 ),
inference(avatar_split_clause,[],[f525,f1483,f781]) ).
fof(f1675,definition,
( spl98_214
<=> e0 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl98_214])],[avatar_definition]) ).
fof(f1676,plain,
( e0 = op(e2,e2)
| ~ spl98_214 ),
inference(avatar_component_clause,[],[f1675]) ).
fof(f1678,plain,
( ~ spl98_29
| ~ spl98_214 ),
inference(avatar_split_clause,[],[f521,f1675,f785]) ).
fof(f1687,plain,
( ~ spl98_30
| ~ spl98_214 ),
inference(avatar_split_clause,[],[f516,f1675,f789]) ).
fof(f1700,plain,
( ~ spl98_31
| ~ spl98_197 ),
inference(avatar_split_clause,[],[f511,f1573,f793]) ).
fof(f1702,definition,
( spl98_218
<=> e4 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl98_218])],[avatar_definition]) ).
fof(f1703,plain,
( e4 = op(e1,e1)
| ~ spl98_218 ),
inference(avatar_component_clause,[],[f1702]) ).
fof(f1712,plain,
( ~ spl98_32
| ~ spl98_161 ),
inference(avatar_split_clause,[],[f505,f1374,f797]) ).
fof(f1720,plain,
( ~ spl98_33
| ~ spl98_130 ),
inference(avatar_split_clause,[],[f499,f1215,f801]) ).
fof(f1724,definition,
( spl98_221
<=> e3 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl98_221])],[avatar_definition]) ).
fof(f1725,plain,
( e3 = op(e1,e1)
| ~ spl98_221 ),
inference(avatar_component_clause,[],[f1724]) ).
fof(f1735,plain,
( ~ spl98_34
| ~ spl98_200 ),
inference(avatar_split_clause,[],[f496,f1590,f805]) ).
fof(f1743,plain,
( ~ spl98_35
| ~ spl98_178 ),
inference(avatar_split_clause,[],[f490,f1467,f809]) ).
fof(f1746,definition,
( spl98_224
<=> e2 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl98_224])],[avatar_definition]) ).
fof(f1747,plain,
( e2 = op(e1,e1)
| ~ spl98_224 ),
inference(avatar_component_clause,[],[f1746]) ).
fof(f1755,plain,
( ~ spl98_36
| ~ spl98_135 ),
inference(avatar_split_clause,[],[f484,f1240,f813]) ).
fof(f1768,definition,
( spl98_227
<=> e1 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl98_227])],[avatar_definition]) ).
fof(f1773,definition,
( spl98_228
<=> e1 = op(e0,e1) ),
introduced(definition,[new_symbols(definition,[spl98_228])],[avatar_definition]) ).
fof(f1776,plain,
( ~ spl98_37
| ~ spl98_228 ),
inference(avatar_split_clause,[],[f483,f1773,f817]) ).
fof(f1782,definition,
( spl98_229
<=> e1 = op(e1,e0) ),
introduced(definition,[new_symbols(definition,[spl98_229])],[avatar_definition]) ).
fof(f1785,plain,
( ~ spl98_38
| ~ spl98_229 ),
inference(avatar_split_clause,[],[f478,f1782,f821]) ).
fof(f1790,definition,
( spl98_230
<=> e0 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl98_230])],[avatar_definition]) ).
fof(f1791,plain,
( e0 = op(e1,e1)
| ~ spl98_230 ),
inference(avatar_component_clause,[],[f1790]) ).
fof(f1793,plain,
( ~ spl98_39
| ~ spl98_230 ),
inference(avatar_split_clause,[],[f472,f1790,f825]) ).
fof(f1798,plain,
( ~ spl98_40
| ~ spl98_230 ),
inference(avatar_split_clause,[],[f467,f1790,f829]) ).
fof(f1804,plain,
( ~ spl98_41
| ~ spl98_122 ),
inference(avatar_split_clause,[],[f459,f1174,f833]) ).
fof(f1809,definition,
( spl98_232
<=> e4 = op(e0,e0) ),
introduced(definition,[new_symbols(definition,[spl98_232])],[avatar_definition]) ).
fof(f1810,plain,
( e4 = op(e0,e0)
| ~ spl98_232 ),
inference(avatar_component_clause,[],[f1809]) ).
fof(f1813,plain,
( ~ spl98_42
| ~ spl98_118 ),
inference(avatar_split_clause,[],[f454,f1153,f837]) ).
fof(f1819,plain,
( ~ spl98_43
| ~ spl98_172 ),
inference(avatar_split_clause,[],[f450,f1434,f841]) ).
fof(f1823,definition,
( spl98_233
<=> e3 = op(e0,e0) ),
introduced(definition,[new_symbols(definition,[spl98_233])],[avatar_definition]) ).
fof(f1824,plain,
( e3 = op(e0,e0)
| ~ spl98_233 ),
inference(avatar_component_clause,[],[f1823]) ).
fof(f1828,plain,
( ~ spl98_44
| ~ spl98_169 ),
inference(avatar_split_clause,[],[f445,f1417,f845]) ).
fof(f1834,plain,
( ~ spl98_45
| ~ spl98_208 ),
inference(avatar_split_clause,[],[f441,f1638,f849]) ).
fof(f1839,plain,
( ~ spl98_46
| ~ spl98_206 ),
inference(avatar_split_clause,[],[f436,f1625,f853]) ).
fof(f1845,plain,
( ~ spl98_47
| ~ spl98_229 ),
inference(avatar_split_clause,[],[f432,f1782,f857]) ).
fof(f1850,plain,
( ~ spl98_48
| ~ spl98_228 ),
inference(avatar_split_clause,[],[f427,f1773,f861]) ).
fof(f1856,plain,
( ~ spl98_49
| ~ spl98_111 ),
inference(avatar_split_clause,[],[f423,f1113,f865]) ).
fof(f1861,plain,
( ~ spl98_50
| ~ spl98_111 ),
inference(avatar_split_clause,[],[f418,f1113,f869]) ).
fof(f1883,definition,
( spl98_238
<=> e0 = unit ),
introduced(definition,[new_symbols(definition,[spl98_238])],[avatar_definition]) ).
fof(f1884,plain,
( e0 = unit
| ~ spl98_238 ),
inference(avatar_component_clause,[],[f1883]) ).
fof(f1886,plain,
( ~ spl98_51
| ~ spl98_238 ),
inference(avatar_split_clause,[],[f413,f1883,f873]) ).
fof(f1891,plain,
( ~ spl98_62
| ~ spl98_150 ),
inference(avatar_split_clause,[],[f408,f1317,f917]) ).
fof(f1894,plain,
( ~ spl98_63
| ~ spl98_137 ),
inference(avatar_split_clause,[],[f401,f1251,f921]) ).
fof(f1900,plain,
( ~ spl98_64
| ~ spl98_147 ),
inference(avatar_split_clause,[],[f397,f1302,f925]) ).
fof(f1903,plain,
( ~ spl98_65
| ~ spl98_130 ),
inference(avatar_split_clause,[],[f390,f1215,f929]) ).
fof(f1907,plain,
( ~ spl98_66
| ~ spl98_122 ),
inference(avatar_split_clause,[],[f384,f1174,f933]) ).
fof(f1915,plain,
( ~ spl98_67
| ~ spl98_142 ),
inference(avatar_split_clause,[],[f382,f1276,f937]) ).
fof(f1921,plain,
( ~ spl98_68
| ~ spl98_187 ),
inference(avatar_split_clause,[],[f378,f1516,f941]) ).
fof(f1922,plain,
( ~ spl98_69
| ~ spl98_163 ),
inference(avatar_split_clause,[],[f369,f1386,f945]) ).
fof(f1929,plain,
( ~ spl98_70
| ~ spl98_178 ),
inference(avatar_split_clause,[],[f366,f1467,f949]) ).
fof(f1933,plain,
( ~ spl98_71
| ~ spl98_172 ),
inference(avatar_split_clause,[],[f360,f1434,f953]) ).
fof(f1938,plain,
( ~ spl98_72
| ~ spl98_125 ),
inference(avatar_split_clause,[],[f355,f1189,f957]) ).
fof(f1945,plain,
( ~ spl98_73
| ~ spl98_181 ),
inference(avatar_split_clause,[],[f352,f1483,f961]) ).
fof(f1951,plain,
( ~ spl98_74
| ~ spl98_214 ),
inference(avatar_split_clause,[],[f348,f1675,f965]) ).
fof(f1952,plain,
( ~ spl98_75
| ~ spl98_197 ),
inference(avatar_split_clause,[],[f339,f1573,f969]) ).
fof(f1959,plain,
( ~ spl98_76
| ~ spl98_208 ),
inference(avatar_split_clause,[],[f336,f1638,f973]) ).
fof(f1964,plain,
( ~ spl98_77
| ~ spl98_135 ),
inference(avatar_split_clause,[],[f331,f1240,f977]) ).
fof(f1967,plain,
( ~ spl98_78
| ~ spl98_161 ),
inference(avatar_split_clause,[],[f324,f1374,f981]) ).
fof(f1973,plain,
( ~ spl98_79
| ~ spl98_200 ),
inference(avatar_split_clause,[],[f320,f1590,f985]) ).
fof(f1981,plain,
( ~ spl98_80
| ~ spl98_230 ),
inference(avatar_split_clause,[],[f318,f1790,f989]) ).
fof(f1985,plain,
( ~ spl98_81
| ~ spl98_229 ),
inference(avatar_split_clause,[],[f312,f1782,f993]) ).
fof(f1987,plain,
( ~ spl98_82
| ~ spl98_118 ),
inference(avatar_split_clause,[],[f304,f1153,f997]) ).
fof(f1993,plain,
( ~ spl98_83
| ~ spl98_169 ),
inference(avatar_split_clause,[],[f300,f1417,f1001]) ).
fof(f1999,plain,
( ~ spl98_84
| ~ spl98_206 ),
inference(avatar_split_clause,[],[f296,f1625,f1005]) ).
fof(f2005,plain,
( ~ spl98_85
| ~ spl98_228 ),
inference(avatar_split_clause,[],[f292,f1773,f1009]) ).
fof(f2011,plain,
( ~ spl98_86
| ~ spl98_111 ),
inference(avatar_split_clause,[],[f288,f1113,f1013]) ).
fof(f2012,plain,
( ~ spl98_87
| ~ spl98_114 ),
inference(avatar_split_clause,[],[f282,f1133,f1017]) ).
fof(f2013,plain,
( ~ spl98_87
| spl98_114 ),
inference(avatar_split_clause,[],[f283,f1133,f1017]) ).
fof(f2015,plain,
( ~ spl98_88
| spl98_123 ),
inference(avatar_split_clause,[],[f281,f1179,f1021]) ).
fof(f2017,plain,
( ~ spl98_89
| spl98_132 ),
inference(avatar_split_clause,[],[f279,f1225,f1025]) ).
fof(f2019,plain,
( ~ spl98_90
| spl98_141 ),
inference(avatar_split_clause,[],[f277,f1271,f1029]) ).
fof(f2020,plain,
( ~ spl98_91
| ~ spl98_122 ),
inference(avatar_split_clause,[],[f274,f1174,f1033]) ).
fof(f2023,plain,
( ~ spl98_92
| spl98_159 ),
inference(avatar_split_clause,[],[f273,f1364,f1037]) ).
fof(f2024,plain,
( ~ spl98_93
| ~ spl98_166 ),
inference(avatar_split_clause,[],[f270,f1402,f1041]) ).
fof(f2025,plain,
( ~ spl98_93
| spl98_166 ),
inference(avatar_split_clause,[],[f271,f1402,f1041]) ).
fof(f2027,plain,
( ~ spl98_94
| spl98_173 ),
inference(avatar_split_clause,[],[f269,f1440,f1045]) ).
fof(f2029,plain,
( ~ spl98_95
| spl98_180 ),
inference(avatar_split_clause,[],[f267,f1478,f1049]) ).
fof(f2030,plain,
( ~ spl98_96
| ~ spl98_172 ),
inference(avatar_split_clause,[],[f264,f1434,f1053]) ).
fof(f2033,plain,
( ~ spl98_97
| spl98_194 ),
inference(avatar_split_clause,[],[f263,f1555,f1057]) ).
fof(f2035,plain,
( ~ spl98_98
| spl98_199 ),
inference(avatar_split_clause,[],[f261,f1585,f1061]) ).
fof(f2036,plain,
( ~ spl98_99
| ~ spl98_204 ),
inference(avatar_split_clause,[],[f258,f1615,f1065]) ).
fof(f2037,plain,
( ~ spl98_99
| spl98_204 ),
inference(avatar_split_clause,[],[f259,f1615,f1065]) ).
fof(f2039,plain,
( ~ spl98_100
| spl98_209 ),
inference(avatar_split_clause,[],[f257,f1645,f1069]) ).
fof(f2040,plain,
( ~ spl98_101
| ~ spl98_208 ),
inference(avatar_split_clause,[],[f254,f1638,f1073]) ).
fof(f2043,plain,
( ~ spl98_102
| spl98_218 ),
inference(avatar_split_clause,[],[f253,f1702,f1077]) ).
fof(f2045,plain,
( ~ spl98_103
| spl98_221 ),
inference(avatar_split_clause,[],[f251,f1724,f1081]) ).
fof(f2047,plain,
( ~ spl98_104
| spl98_224 ),
inference(avatar_split_clause,[],[f249,f1746,f1085]) ).
fof(f2048,plain,
( ~ spl98_105
| ~ spl98_227 ),
inference(avatar_split_clause,[],[f246,f1768,f1089]) ).
fof(f2049,plain,
( ~ spl98_105
| spl98_227 ),
inference(avatar_split_clause,[],[f247,f1768,f1089]) ).
fof(f2050,plain,
( ~ spl98_106
| ~ spl98_229 ),
inference(avatar_split_clause,[],[f244,f1782,f1093]) ).
fof(f2053,plain,
( ~ spl98_107
| spl98_232 ),
inference(avatar_split_clause,[],[f243,f1809,f1097]) ).
fof(f2055,plain,
( ~ spl98_108
| spl98_233 ),
inference(avatar_split_clause,[],[f241,f1823,f1101]) ).
fof(f2056,plain,
spl98_150,
inference(avatar_split_clause,[],[f214,f1317]) ).
fof(f2057,plain,
spl98_137,
inference(avatar_split_clause,[],[f215,f1251]) ).
fof(f2058,plain,
spl98_147,
inference(avatar_split_clause,[],[f216,f1302]) ).
fof(f2059,plain,
spl98_130,
inference(avatar_split_clause,[],[f217,f1215]) ).
fof(f2060,plain,
spl98_122,
inference(avatar_split_clause,[],[f218,f1174]) ).
fof(f2061,plain,
spl98_142,
inference(avatar_split_clause,[],[f219,f1276]) ).
fof(f2062,plain,
spl98_187,
inference(avatar_split_clause,[],[f220,f1516]) ).
fof(f2063,plain,
spl98_163,
inference(avatar_split_clause,[],[f221,f1386]) ).
fof(f2064,plain,
spl98_178,
inference(avatar_split_clause,[],[f222,f1467]) ).
fof(f2065,plain,
spl98_172,
inference(avatar_split_clause,[],[f223,f1434]) ).
fof(f2066,plain,
spl98_125,
inference(avatar_split_clause,[],[f224,f1189]) ).
fof(f2067,plain,
spl98_181,
inference(avatar_split_clause,[],[f225,f1483]) ).
fof(f2068,plain,
spl98_214,
inference(avatar_split_clause,[],[f226,f1675]) ).
fof(f2069,plain,
spl98_197,
inference(avatar_split_clause,[],[f227,f1573]) ).
fof(f2070,plain,
spl98_208,
inference(avatar_split_clause,[],[f228,f1638]) ).
fof(f2071,plain,
spl98_135,
inference(avatar_split_clause,[],[f229,f1240]) ).
fof(f2072,plain,
spl98_161,
inference(avatar_split_clause,[],[f230,f1374]) ).
fof(f2073,plain,
spl98_200,
inference(avatar_split_clause,[],[f231,f1590]) ).
fof(f2074,plain,
spl98_230,
inference(avatar_split_clause,[],[f232,f1790]) ).
fof(f2075,plain,
spl98_229,
inference(avatar_split_clause,[],[f233,f1782]) ).
fof(f2076,plain,
spl98_118,
inference(avatar_split_clause,[],[f234,f1153]) ).
fof(f2077,plain,
spl98_169,
inference(avatar_split_clause,[],[f235,f1417]) ).
fof(f2078,plain,
spl98_206,
inference(avatar_split_clause,[],[f236,f1625]) ).
fof(f2079,plain,
spl98_228,
inference(avatar_split_clause,[],[f237,f1773]) ).
fof(f2080,plain,
spl98_111,
inference(avatar_split_clause,[],[f238,f1113]) ).
fof(f2081,plain,
spl98_238,
inference(avatar_split_clause,[],[f239,f1883]) ).
fof(f2082,plain,
( e4 != op(e4,e0)
| spl98_52
| ~ spl98_238 ),
inference(superposition,[],[f879,f1884]) ).
fof(f2083,plain,
( ~ spl98_122
| spl98_52
| ~ spl98_238 ),
inference(avatar_split_clause,[],[f2082,f1883,f877,f1174]) ).
fof(f2085,plain,
( e4 != op(e0,e4)
| spl98_53
| ~ spl98_238 ),
inference(forward_demodulation,[],[f883,f1884]) ).
fof(f2087,plain,
( ~ spl98_118
| spl98_53
| ~ spl98_238 ),
inference(avatar_split_clause,[],[f2085,f1883,f881,f1153]) ).
fof(f2089,plain,
( e3 != op(e3,e0)
| spl98_54
| ~ spl98_238 ),
inference(forward_demodulation,[],[f887,f1884]) ).
fof(f2091,plain,
( ~ spl98_172
| spl98_54
| ~ spl98_238 ),
inference(avatar_split_clause,[],[f2089,f1883,f885,f1434]) ).
fof(f2093,plain,
( e3 != op(e0,e3)
| spl98_55
| ~ spl98_238 ),
inference(forward_demodulation,[],[f891,f1884]) ).
fof(f2095,plain,
( ~ spl98_169
| spl98_55
| ~ spl98_238 ),
inference(avatar_split_clause,[],[f2093,f1883,f889,f1417]) ).
fof(f2097,plain,
( e2 != op(e2,e0)
| spl98_56
| ~ spl98_238 ),
inference(forward_demodulation,[],[f895,f1884]) ).
fof(f2099,plain,
( ~ spl98_208
| spl98_56
| ~ spl98_238 ),
inference(avatar_split_clause,[],[f2097,f1883,f893,f1638]) ).
fof(f2101,plain,
( e2 != op(e0,e2)
| spl98_57
| ~ spl98_238 ),
inference(forward_demodulation,[],[f899,f1884]) ).
fof(f2103,plain,
( ~ spl98_206
| spl98_57
| ~ spl98_238 ),
inference(avatar_split_clause,[],[f2101,f1883,f897,f1625]) ).
fof(f2105,plain,
( e1 != op(e1,e0)
| spl98_58
| ~ spl98_238 ),
inference(forward_demodulation,[],[f903,f1884]) ).
fof(f2107,plain,
( ~ spl98_229
| spl98_58
| ~ spl98_238 ),
inference(avatar_split_clause,[],[f2105,f1883,f901,f1782]) ).
fof(f2109,plain,
( e1 != op(e0,e1)
| spl98_59
| ~ spl98_238 ),
inference(forward_demodulation,[],[f907,f1884]) ).
fof(f2111,plain,
( ~ spl98_228
| spl98_59
| ~ spl98_238 ),
inference(avatar_split_clause,[],[f2109,f1883,f905,f1773]) ).
fof(f2113,plain,
( e0 != op(e0,e0)
| spl98_60
| ~ spl98_238 ),
inference(forward_demodulation,[],[f911,f1884]) ).
fof(f2115,plain,
( $false
| spl98_60
| ~ spl98_111
| ~ spl98_238 ),
inference(forward_subsumption_resolution,[],[f2113,f1114]) ).
fof(f2116,plain,
( spl98_60
| ~ spl98_111
| ~ spl98_238 ),
inference(avatar_contradiction_clause,[],[f2115]) ).
fof(f2118,plain,
( e0 != op(e0,e0)
| spl98_61
| ~ spl98_238 ),
inference(forward_demodulation,[],[f915,f1884]) ).
fof(f2119,plain,
( $false
| spl98_61
| ~ spl98_111
| ~ spl98_238 ),
inference(forward_subsumption_resolution,[],[f2118,f1114]) ).
fof(f2120,plain,
( spl98_61
| ~ spl98_111
| ~ spl98_238 ),
inference(avatar_contradiction_clause,[],[f2119]) ).
fof(f2122,plain,
( e0 = e2
| ~ spl98_111
| ~ spl98_112 ),
inference(forward_demodulation,[],[f1120,f1114]) ).
fof(f2123,plain,
( $false
| ~ spl98_111
| ~ spl98_112 ),
inference(forward_subsumption_resolution,[],[f2122,f212]) ).
fof(f2124,plain,
( ~ spl98_111
| ~ spl98_112 ),
inference(avatar_contradiction_clause,[],[f2123]) ).
fof(f2126,plain,
( e0 = e1
| ~ spl98_111
| ~ spl98_113 ),
inference(forward_demodulation,[],[f1125,f1114]) ).
fof(f2127,plain,
( $false
| ~ spl98_111
| ~ spl98_113 ),
inference(forward_subsumption_resolution,[],[f2126,f213]) ).
fof(f2128,plain,
( ~ spl98_111
| ~ spl98_113 ),
inference(avatar_contradiction_clause,[],[f2127]) ).
fof(f2131,plain,
( e0 = e3
| ~ spl98_123
| ~ spl98_150 ),
inference(superposition,[],[f1318,f1180]) ).
fof(f2135,plain,
( $false
| ~ spl98_123
| ~ spl98_150 ),
inference(forward_subsumption_resolution,[],[f2131,f211]) ).
fof(f2136,plain,
( ~ spl98_123
| ~ spl98_150 ),
inference(avatar_contradiction_clause,[],[f2135]) ).
fof(f2139,plain,
( e0 = e2
| ~ spl98_132
| ~ spl98_150 ),
inference(forward_demodulation,[],[f1226,f1318]) ).
fof(f2140,plain,
( $false
| ~ spl98_132
| ~ spl98_150 ),
inference(forward_subsumption_resolution,[],[f2139,f212]) ).
fof(f2141,plain,
( ~ spl98_132
| ~ spl98_150 ),
inference(avatar_contradiction_clause,[],[f2140]) ).
fof(f2144,plain,
( e0 = e1
| ~ spl98_141
| ~ spl98_150 ),
inference(forward_demodulation,[],[f1272,f1318]) ).
fof(f2145,plain,
( $false
| ~ spl98_141
| ~ spl98_150 ),
inference(forward_subsumption_resolution,[],[f2144,f213]) ).
fof(f2146,plain,
( ~ spl98_141
| ~ spl98_150 ),
inference(avatar_contradiction_clause,[],[f2145]) ).
fof(f2149,plain,
( e0 = e4
| ~ spl98_159
| ~ spl98_187 ),
inference(superposition,[],[f1517,f1365]) ).
fof(f2153,plain,
( $false
| ~ spl98_159
| ~ spl98_187 ),
inference(forward_subsumption_resolution,[],[f2149,f210]) ).
fof(f2154,plain,
( ~ spl98_159
| ~ spl98_187 ),
inference(avatar_contradiction_clause,[],[f2153]) ).
fof(f2157,plain,
( e0 = e2
| ~ spl98_173
| ~ spl98_187 ),
inference(forward_demodulation,[],[f1441,f1517]) ).
fof(f2158,plain,
( $false
| ~ spl98_173
| ~ spl98_187 ),
inference(forward_subsumption_resolution,[],[f2157,f212]) ).
fof(f2159,plain,
( ~ spl98_173
| ~ spl98_187 ),
inference(avatar_contradiction_clause,[],[f2158]) ).
fof(f2162,plain,
( e0 = e1
| ~ spl98_180
| ~ spl98_187 ),
inference(forward_demodulation,[],[f1479,f1517]) ).
fof(f2163,plain,
( $false
| ~ spl98_180
| ~ spl98_187 ),
inference(forward_subsumption_resolution,[],[f2162,f213]) ).
fof(f2164,plain,
( ~ spl98_180
| ~ spl98_187 ),
inference(avatar_contradiction_clause,[],[f2163]) ).
fof(f2168,plain,
( e0 = e4
| ~ spl98_194
| ~ spl98_214 ),
inference(superposition,[],[f1676,f1556]) ).
fof(f2172,plain,
( $false
| ~ spl98_194
| ~ spl98_214 ),
inference(forward_subsumption_resolution,[],[f2168,f210]) ).
fof(f2173,plain,
( ~ spl98_194
| ~ spl98_214 ),
inference(avatar_contradiction_clause,[],[f2172]) ).
fof(f2176,plain,
( e0 = e3
| ~ spl98_199
| ~ spl98_214 ),
inference(forward_demodulation,[],[f1586,f1676]) ).
fof(f2177,plain,
( $false
| ~ spl98_199
| ~ spl98_214 ),
inference(forward_subsumption_resolution,[],[f2176,f211]) ).
fof(f2178,plain,
( ~ spl98_199
| ~ spl98_214 ),
inference(avatar_contradiction_clause,[],[f2177]) ).
fof(f2181,plain,
( e0 = e1
| ~ spl98_209
| ~ spl98_214 ),
inference(forward_demodulation,[],[f1646,f1676]) ).
fof(f2182,plain,
( $false
| ~ spl98_209
| ~ spl98_214 ),
inference(forward_subsumption_resolution,[],[f2181,f213]) ).
fof(f2183,plain,
( ~ spl98_209
| ~ spl98_214 ),
inference(avatar_contradiction_clause,[],[f2182]) ).
fof(f2187,plain,
( e0 = e4
| ~ spl98_218
| ~ spl98_230 ),
inference(superposition,[],[f1791,f1703]) ).
fof(f2191,plain,
( $false
| ~ spl98_218
| ~ spl98_230 ),
inference(forward_subsumption_resolution,[],[f2187,f210]) ).
fof(f2192,plain,
( ~ spl98_218
| ~ spl98_230 ),
inference(avatar_contradiction_clause,[],[f2191]) ).
fof(f2195,plain,
( e0 = e3
| ~ spl98_221
| ~ spl98_230 ),
inference(forward_demodulation,[],[f1725,f1791]) ).
fof(f2196,plain,
( $false
| ~ spl98_221
| ~ spl98_230 ),
inference(forward_subsumption_resolution,[],[f2195,f211]) ).
fof(f2197,plain,
( ~ spl98_221
| ~ spl98_230 ),
inference(avatar_contradiction_clause,[],[f2196]) ).
fof(f2200,plain,
( e0 = e2
| ~ spl98_224
| ~ spl98_230 ),
inference(forward_demodulation,[],[f1747,f1791]) ).
fof(f2201,plain,
( $false
| ~ spl98_224
| ~ spl98_230 ),
inference(forward_subsumption_resolution,[],[f2200,f212]) ).
fof(f2202,plain,
( ~ spl98_224
| ~ spl98_230 ),
inference(avatar_contradiction_clause,[],[f2201]) ).
fof(f2205,plain,
( e0 = e4
| ~ spl98_111
| ~ spl98_232 ),
inference(forward_demodulation,[],[f1810,f1114]) ).
fof(f2206,plain,
( $false
| ~ spl98_111
| ~ spl98_232 ),
inference(forward_subsumption_resolution,[],[f2205,f210]) ).
fof(f2207,plain,
( ~ spl98_111
| ~ spl98_232 ),
inference(avatar_contradiction_clause,[],[f2206]) ).
fof(f2210,plain,
( e0 = e3
| ~ spl98_111
| ~ spl98_233 ),
inference(forward_demodulation,[],[f1824,f1114]) ).
fof(f2211,plain,
( $false
| ~ spl98_111
| ~ spl98_233 ),
inference(forward_subsumption_resolution,[],[f2210,f211]) ).
fof(f2212,plain,
( ~ spl98_111
| ~ spl98_233 ),
inference(avatar_contradiction_clause,[],[f2211]) ).
cnf(s4,plain,
( spl98_1
| spl98_2
| spl98_3
| spl98_4
| spl98_5
| spl98_6
| spl98_7
| spl98_8
| spl98_9
| spl98_10
| spl98_11
| spl98_12
| spl98_13
| spl98_14
| spl98_15
| spl98_16
| spl98_17
| spl98_18
| spl98_19
| spl98_20
| spl98_21
| spl98_22
| spl98_23
| spl98_24
| spl98_25
| spl98_26
| spl98_27
| spl98_28
| spl98_29
| spl98_30
| spl98_31
| spl98_32
| spl98_33
| spl98_34
| spl98_35
| spl98_36
| spl98_37
| spl98_38
| spl98_39
| spl98_40
| spl98_41
| spl98_42
| spl98_43
| spl98_44
| spl98_45
| spl98_46
| spl98_47
| spl98_48
| spl98_49
| spl98_50
| spl98_51
| ~ spl98_52
| ~ spl98_53
| ~ spl98_54
| ~ spl98_55
| ~ spl98_56
| ~ spl98_57
| ~ spl98_58
| ~ spl98_59
| ~ spl98_60
| ~ spl98_61
| spl98_62
| spl98_63
| spl98_64
| spl98_65
| spl98_66
| spl98_67
| spl98_68
| spl98_69
| spl98_70
| spl98_71
| spl98_72
| spl98_73
| spl98_74
| spl98_75
| spl98_76
| spl98_77
| spl98_78
| spl98_79
| spl98_80
| spl98_81
| spl98_82
| spl98_83
| spl98_84
| spl98_85
| spl98_86
| spl98_87
| spl98_88
| spl98_89
| spl98_90
| spl98_91
| spl98_92
| spl98_93
| spl98_94
| spl98_95
| spl98_96
| spl98_97
| spl98_98
| spl98_99
| spl98_100
| spl98_101
| spl98_102
| spl98_103
| spl98_104
| spl98_105
| spl98_106
| spl98_107
| spl98_108
| ~ spl98_111
| spl98_112
| spl98_113 ),
inference(sat_conversion,[],[f1127]) ).
cnf(s13,plain,
( ~ spl98_1
| ~ spl98_118 ),
inference(sat_conversion,[],[f1156]) ).
cnf(s18,plain,
( ~ spl98_2
| ~ spl98_122 ),
inference(sat_conversion,[],[f1177]) ).
cnf(s21,plain,
( ~ spl98_3
| ~ spl98_125 ),
inference(sat_conversion,[],[f1192]) ).
cnf(s27,plain,
( ~ spl98_4
| ~ spl98_130 ),
inference(sat_conversion,[],[f1218]) ).
cnf(s32,plain,
( ~ spl98_5
| ~ spl98_135 ),
inference(sat_conversion,[],[f1243]) ).
cnf(s35,plain,
( ~ spl98_6
| ~ spl98_137 ),
inference(sat_conversion,[],[f1254]) ).
cnf(s40,plain,
( ~ spl98_7
| ~ spl98_142 ),
inference(sat_conversion,[],[f1279]) ).
cnf(s46,plain,
( ~ spl98_8
| ~ spl98_147 ),
inference(sat_conversion,[],[f1305]) ).
cnf(s49,plain,
( ~ spl98_9
| ~ spl98_150 ),
inference(sat_conversion,[],[f1320]) ).
cnf(s54,plain,
( ~ spl98_10
| ~ spl98_150 ),
inference(sat_conversion,[],[f1341]) ).
cnf(s62,plain,
( ~ spl98_11
| ~ spl98_161 ),
inference(sat_conversion,[],[f1377]) ).
cnf(s66,plain,
( ~ spl98_12
| ~ spl98_163 ),
inference(sat_conversion,[],[f1389]) ).
cnf(s73,plain,
( ~ spl98_13
| ~ spl98_169 ),
inference(sat_conversion,[],[f1420]) ).
cnf(s78,plain,
( ~ spl98_14
| ~ spl98_172 ),
inference(sat_conversion,[],[f1437]) ).
cnf(s79,plain,
( ~ spl98_15
| ~ spl98_137 ),
inference(sat_conversion,[],[f1438]) ).
cnf(s87,plain,
( ~ spl98_16
| ~ spl98_178 ),
inference(sat_conversion,[],[f1470]) ).
cnf(s91,plain,
( ~ spl98_17
| ~ spl98_181 ),
inference(sat_conversion,[],[f1486]) ).
cnf(s94,plain,
( ~ spl98_18
| ~ spl98_142 ),
inference(sat_conversion,[],[f1497]) ).
cnf(s100,plain,
( ~ spl98_19
| ~ spl98_187 ),
inference(sat_conversion,[],[f1519]) ).
cnf(s105,plain,
( ~ spl98_20
| ~ spl98_187 ),
inference(sat_conversion,[],[f1536]) ).
cnf(s110,plain,
( ~ spl98_21
| ~ spl98_163 ),
inference(sat_conversion,[],[f1553]) ).
cnf(s117,plain,
( ~ spl98_22
| ~ spl98_197 ),
inference(sat_conversion,[],[f1576]) ).
cnf(s122,plain,
( ~ spl98_23
| ~ spl98_200 ),
inference(sat_conversion,[],[f1593]) ).
cnf(s124,plain,
( ~ spl98_24
| ~ spl98_125 ),
inference(sat_conversion,[],[f1599]) ).
cnf(s133,plain,
( ~ spl98_25
| ~ spl98_206 ),
inference(sat_conversion,[],[f1628]) ).
cnf(s138,plain,
( ~ spl98_26
| ~ spl98_208 ),
inference(sat_conversion,[],[f1641]) ).
cnf(s139,plain,
( ~ spl98_27
| ~ spl98_147 ),
inference(sat_conversion,[],[f1642]) ).
cnf(s145,plain,
( ~ spl98_28
| ~ spl98_181 ),
inference(sat_conversion,[],[f1660]) ).
cnf(s151,plain,
( ~ spl98_29
| ~ spl98_214 ),
inference(sat_conversion,[],[f1678]) ).
cnf(s156,plain,
( ~ spl98_30
| ~ spl98_214 ),
inference(sat_conversion,[],[f1687]) ).
cnf(s161,plain,
( ~ spl98_31
| ~ spl98_197 ),
inference(sat_conversion,[],[f1700]) ).
cnf(s165,plain,
( ~ spl98_32
| ~ spl98_161 ),
inference(sat_conversion,[],[f1712]) ).
cnf(s169,plain,
( ~ spl98_33
| ~ spl98_130 ),
inference(sat_conversion,[],[f1720]) ).
cnf(s176,plain,
( ~ spl98_34
| ~ spl98_200 ),
inference(sat_conversion,[],[f1735]) ).
cnf(s180,plain,
( ~ spl98_35
| ~ spl98_178 ),
inference(sat_conversion,[],[f1743]) ).
cnf(s184,plain,
( ~ spl98_36
| ~ spl98_135 ),
inference(sat_conversion,[],[f1755]) ).
cnf(s193,plain,
( ~ spl98_37
| ~ spl98_228 ),
inference(sat_conversion,[],[f1776]) ).
cnf(s198,plain,
( ~ spl98_38
| ~ spl98_229 ),
inference(sat_conversion,[],[f1785]) ).
cnf(s202,plain,
( ~ spl98_39
| ~ spl98_230 ),
inference(sat_conversion,[],[f1793]) ).
cnf(s207,plain,
( ~ spl98_40
| ~ spl98_230 ),
inference(sat_conversion,[],[f1798]) ).
cnf(s209,plain,
( ~ spl98_41
| ~ spl98_122 ),
inference(sat_conversion,[],[f1804]) ).
cnf(s214,plain,
( ~ spl98_42
| ~ spl98_118 ),
inference(sat_conversion,[],[f1813]) ).
cnf(s220,plain,
( ~ spl98_43
| ~ spl98_172 ),
inference(sat_conversion,[],[f1819]) ).
cnf(s225,plain,
( ~ spl98_44
| ~ spl98_169 ),
inference(sat_conversion,[],[f1828]) ).
cnf(s231,plain,
( ~ spl98_45
| ~ spl98_208 ),
inference(sat_conversion,[],[f1834]) ).
cnf(s236,plain,
( ~ spl98_46
| ~ spl98_206 ),
inference(sat_conversion,[],[f1839]) ).
cnf(s242,plain,
( ~ spl98_47
| ~ spl98_229 ),
inference(sat_conversion,[],[f1845]) ).
cnf(s247,plain,
( ~ spl98_48
| ~ spl98_228 ),
inference(sat_conversion,[],[f1850]) ).
cnf(s253,plain,
( ~ spl98_49
| ~ spl98_111 ),
inference(sat_conversion,[],[f1856]) ).
cnf(s258,plain,
( ~ spl98_50
| ~ spl98_111 ),
inference(sat_conversion,[],[f1861]) ).
cnf(s263,plain,
( ~ spl98_51
| ~ spl98_238 ),
inference(sat_conversion,[],[f1886]) ).
cnf(s268,plain,
( ~ spl98_62
| ~ spl98_150 ),
inference(sat_conversion,[],[f1891]) ).
cnf(s271,plain,
( ~ spl98_63
| ~ spl98_137 ),
inference(sat_conversion,[],[f1894]) ).
cnf(s277,plain,
( ~ spl98_64
| ~ spl98_147 ),
inference(sat_conversion,[],[f1900]) ).
cnf(s280,plain,
( ~ spl98_65
| ~ spl98_130 ),
inference(sat_conversion,[],[f1903]) ).
cnf(s284,plain,
( ~ spl98_66
| ~ spl98_122 ),
inference(sat_conversion,[],[f1907]) ).
cnf(s292,plain,
( ~ spl98_67
| ~ spl98_142 ),
inference(sat_conversion,[],[f1915]) ).
cnf(s298,plain,
( ~ spl98_68
| ~ spl98_187 ),
inference(sat_conversion,[],[f1921]) ).
cnf(s299,plain,
( ~ spl98_69
| ~ spl98_163 ),
inference(sat_conversion,[],[f1922]) ).
cnf(s306,plain,
( ~ spl98_70
| ~ spl98_178 ),
inference(sat_conversion,[],[f1929]) ).
cnf(s310,plain,
( ~ spl98_71
| ~ spl98_172 ),
inference(sat_conversion,[],[f1933]) ).
cnf(s315,plain,
( ~ spl98_72
| ~ spl98_125 ),
inference(sat_conversion,[],[f1938]) ).
cnf(s322,plain,
( ~ spl98_73
| ~ spl98_181 ),
inference(sat_conversion,[],[f1945]) ).
cnf(s328,plain,
( ~ spl98_74
| ~ spl98_214 ),
inference(sat_conversion,[],[f1951]) ).
cnf(s329,plain,
( ~ spl98_75
| ~ spl98_197 ),
inference(sat_conversion,[],[f1952]) ).
cnf(s336,plain,
( ~ spl98_76
| ~ spl98_208 ),
inference(sat_conversion,[],[f1959]) ).
cnf(s341,plain,
( ~ spl98_77
| ~ spl98_135 ),
inference(sat_conversion,[],[f1964]) ).
cnf(s344,plain,
( ~ spl98_78
| ~ spl98_161 ),
inference(sat_conversion,[],[f1967]) ).
cnf(s350,plain,
( ~ spl98_79
| ~ spl98_200 ),
inference(sat_conversion,[],[f1973]) ).
cnf(s358,plain,
( ~ spl98_80
| ~ spl98_230 ),
inference(sat_conversion,[],[f1981]) ).
cnf(s362,plain,
( ~ spl98_81
| ~ spl98_229 ),
inference(sat_conversion,[],[f1985]) ).
cnf(s364,plain,
( ~ spl98_82
| ~ spl98_118 ),
inference(sat_conversion,[],[f1987]) ).
cnf(s370,plain,
( ~ spl98_83
| ~ spl98_169 ),
inference(sat_conversion,[],[f1993]) ).
cnf(s376,plain,
( ~ spl98_84
| ~ spl98_206 ),
inference(sat_conversion,[],[f1999]) ).
cnf(s382,plain,
( ~ spl98_85
| ~ spl98_228 ),
inference(sat_conversion,[],[f2005]) ).
cnf(s388,plain,
( ~ spl98_86
| ~ spl98_111 ),
inference(sat_conversion,[],[f2011]) ).
cnf(s389,plain,
( ~ spl98_87
| ~ spl98_114 ),
inference(sat_conversion,[],[f2012]) ).
cnf(s390,plain,
( ~ spl98_87
| spl98_114 ),
inference(sat_conversion,[],[f2013]) ).
cnf(s392,plain,
( ~ spl98_88
| spl98_123 ),
inference(sat_conversion,[],[f2015]) ).
cnf(s394,plain,
( ~ spl98_89
| spl98_132 ),
inference(sat_conversion,[],[f2017]) ).
cnf(s396,plain,
( ~ spl98_90
| spl98_141 ),
inference(sat_conversion,[],[f2019]) ).
cnf(s397,plain,
( ~ spl98_91
| ~ spl98_122 ),
inference(sat_conversion,[],[f2020]) ).
cnf(s400,plain,
( ~ spl98_92
| spl98_159 ),
inference(sat_conversion,[],[f2023]) ).
cnf(s401,plain,
( ~ spl98_93
| ~ spl98_166 ),
inference(sat_conversion,[],[f2024]) ).
cnf(s402,plain,
( ~ spl98_93
| spl98_166 ),
inference(sat_conversion,[],[f2025]) ).
cnf(s404,plain,
( ~ spl98_94
| spl98_173 ),
inference(sat_conversion,[],[f2027]) ).
cnf(s406,plain,
( ~ spl98_95
| spl98_180 ),
inference(sat_conversion,[],[f2029]) ).
cnf(s407,plain,
( ~ spl98_96
| ~ spl98_172 ),
inference(sat_conversion,[],[f2030]) ).
cnf(s410,plain,
( ~ spl98_97
| spl98_194 ),
inference(sat_conversion,[],[f2033]) ).
cnf(s412,plain,
( ~ spl98_98
| spl98_199 ),
inference(sat_conversion,[],[f2035]) ).
cnf(s413,plain,
( ~ spl98_99
| ~ spl98_204 ),
inference(sat_conversion,[],[f2036]) ).
cnf(s414,plain,
( ~ spl98_99
| spl98_204 ),
inference(sat_conversion,[],[f2037]) ).
cnf(s416,plain,
( ~ spl98_100
| spl98_209 ),
inference(sat_conversion,[],[f2039]) ).
cnf(s417,plain,
( ~ spl98_101
| ~ spl98_208 ),
inference(sat_conversion,[],[f2040]) ).
cnf(s420,plain,
( ~ spl98_102
| spl98_218 ),
inference(sat_conversion,[],[f2043]) ).
cnf(s422,plain,
( ~ spl98_103
| spl98_221 ),
inference(sat_conversion,[],[f2045]) ).
cnf(s424,plain,
( ~ spl98_104
| spl98_224 ),
inference(sat_conversion,[],[f2047]) ).
cnf(s425,plain,
( ~ spl98_105
| ~ spl98_227 ),
inference(sat_conversion,[],[f2048]) ).
cnf(s426,plain,
( ~ spl98_105
| spl98_227 ),
inference(sat_conversion,[],[f2049]) ).
cnf(s427,plain,
( ~ spl98_106
| ~ spl98_229 ),
inference(sat_conversion,[],[f2050]) ).
cnf(s430,plain,
( ~ spl98_107
| spl98_232 ),
inference(sat_conversion,[],[f2053]) ).
cnf(s432,plain,
( ~ spl98_108
| spl98_233 ),
inference(sat_conversion,[],[f2055]) ).
cnf(s433,plain,
spl98_150,
inference(sat_conversion,[],[f2056]) ).
cnf(s434,plain,
spl98_137,
inference(sat_conversion,[],[f2057]) ).
cnf(s435,plain,
spl98_147,
inference(sat_conversion,[],[f2058]) ).
cnf(s436,plain,
spl98_130,
inference(sat_conversion,[],[f2059]) ).
cnf(s437,plain,
spl98_122,
inference(sat_conversion,[],[f2060]) ).
cnf(s438,plain,
spl98_142,
inference(sat_conversion,[],[f2061]) ).
cnf(s439,plain,
spl98_187,
inference(sat_conversion,[],[f2062]) ).
cnf(s440,plain,
spl98_163,
inference(sat_conversion,[],[f2063]) ).
cnf(s441,plain,
spl98_178,
inference(sat_conversion,[],[f2064]) ).
cnf(s442,plain,
spl98_172,
inference(sat_conversion,[],[f2065]) ).
cnf(s443,plain,
spl98_125,
inference(sat_conversion,[],[f2066]) ).
cnf(s444,plain,
spl98_181,
inference(sat_conversion,[],[f2067]) ).
cnf(s445,plain,
spl98_214,
inference(sat_conversion,[],[f2068]) ).
cnf(s446,plain,
spl98_197,
inference(sat_conversion,[],[f2069]) ).
cnf(s447,plain,
spl98_208,
inference(sat_conversion,[],[f2070]) ).
cnf(s448,plain,
spl98_135,
inference(sat_conversion,[],[f2071]) ).
cnf(s449,plain,
spl98_161,
inference(sat_conversion,[],[f2072]) ).
cnf(s450,plain,
spl98_200,
inference(sat_conversion,[],[f2073]) ).
cnf(s451,plain,
spl98_230,
inference(sat_conversion,[],[f2074]) ).
cnf(s452,plain,
spl98_229,
inference(sat_conversion,[],[f2075]) ).
cnf(s453,plain,
spl98_118,
inference(sat_conversion,[],[f2076]) ).
cnf(s454,plain,
spl98_169,
inference(sat_conversion,[],[f2077]) ).
cnf(s455,plain,
spl98_206,
inference(sat_conversion,[],[f2078]) ).
cnf(s456,plain,
spl98_228,
inference(sat_conversion,[],[f2079]) ).
cnf(s457,plain,
spl98_111,
inference(sat_conversion,[],[f2080]) ).
cnf(s458,plain,
spl98_238,
inference(sat_conversion,[],[f2081]) ).
cnf(s459,plain,
( spl98_52
| ~ spl98_122
| ~ spl98_238 ),
inference(sat_conversion,[],[f2083]) ).
cnf(s461,plain,
( spl98_53
| ~ spl98_118
| ~ spl98_238 ),
inference(sat_conversion,[],[f2087]) ).
cnf(s463,plain,
( spl98_54
| ~ spl98_172
| ~ spl98_238 ),
inference(sat_conversion,[],[f2091]) ).
cnf(s465,plain,
( spl98_55
| ~ spl98_169
| ~ spl98_238 ),
inference(sat_conversion,[],[f2095]) ).
cnf(s467,plain,
( spl98_56
| ~ spl98_208
| ~ spl98_238 ),
inference(sat_conversion,[],[f2099]) ).
cnf(s469,plain,
( spl98_57
| ~ spl98_206
| ~ spl98_238 ),
inference(sat_conversion,[],[f2103]) ).
cnf(s471,plain,
( spl98_58
| ~ spl98_229
| ~ spl98_238 ),
inference(sat_conversion,[],[f2107]) ).
cnf(s473,plain,
( spl98_59
| ~ spl98_228
| ~ spl98_238 ),
inference(sat_conversion,[],[f2111]) ).
cnf(s475,plain,
( spl98_60
| ~ spl98_111
| ~ spl98_238 ),
inference(sat_conversion,[],[f2116]) ).
cnf(s476,plain,
( spl98_61
| ~ spl98_111
| ~ spl98_238 ),
inference(sat_conversion,[],[f2120]) ).
cnf(s477,plain,
( ~ spl98_111
| ~ spl98_112 ),
inference(sat_conversion,[],[f2124]) ).
cnf(s478,plain,
( ~ spl98_111
| ~ spl98_113 ),
inference(sat_conversion,[],[f2128]) ).
cnf(s480,plain,
( ~ spl98_123
| ~ spl98_150 ),
inference(sat_conversion,[],[f2136]) ).
cnf(s481,plain,
( ~ spl98_132
| ~ spl98_150 ),
inference(sat_conversion,[],[f2141]) ).
cnf(s482,plain,
( ~ spl98_141
| ~ spl98_150 ),
inference(sat_conversion,[],[f2146]) ).
cnf(s484,plain,
( ~ spl98_159
| ~ spl98_187 ),
inference(sat_conversion,[],[f2154]) ).
cnf(s485,plain,
( ~ spl98_173
| ~ spl98_187 ),
inference(sat_conversion,[],[f2159]) ).
cnf(s486,plain,
( ~ spl98_180
| ~ spl98_187 ),
inference(sat_conversion,[],[f2164]) ).
cnf(s488,plain,
( ~ spl98_194
| ~ spl98_214 ),
inference(sat_conversion,[],[f2173]) ).
cnf(s489,plain,
( ~ spl98_199
| ~ spl98_214 ),
inference(sat_conversion,[],[f2178]) ).
cnf(s490,plain,
( ~ spl98_209
| ~ spl98_214 ),
inference(sat_conversion,[],[f2183]) ).
cnf(s492,plain,
( ~ spl98_218
| ~ spl98_230 ),
inference(sat_conversion,[],[f2192]) ).
cnf(s493,plain,
( ~ spl98_221
| ~ spl98_230 ),
inference(sat_conversion,[],[f2197]) ).
cnf(s494,plain,
( ~ spl98_224
| ~ spl98_230 ),
inference(sat_conversion,[],[f2202]) ).
cnf(s495,plain,
( ~ spl98_111
| ~ spl98_232 ),
inference(sat_conversion,[],[f2207]) ).
cnf(s496,plain,
( ~ spl98_111
| ~ spl98_233 ),
inference(sat_conversion,[],[f2212]) ).
cnf(s497,plain,
~ spl98_233,
inference(rat,[],[s496,s457]) ).
cnf(s498,plain,
~ spl98_232,
inference(rat,[],[s495,s457]) ).
cnf(s499,plain,
~ spl98_113,
inference(rat,[],[s478,s457]) ).
cnf(s500,plain,
~ spl98_112,
inference(rat,[],[s477,s457]) ).
cnf(s501,plain,
spl98_61,
inference(rat,[],[s476,s458,s457]) ).
cnf(s502,plain,
spl98_60,
inference(rat,[],[s475,s458,s457]) ).
cnf(s503,plain,
spl98_59,
inference(rat,[],[s473,s458,s456]) ).
cnf(s504,plain,
spl98_57,
inference(rat,[],[s469,s458,s455]) ).
cnf(s505,plain,
spl98_55,
inference(rat,[],[s465,s458,s454]) ).
cnf(s506,plain,
spl98_53,
inference(rat,[],[s461,s458,s453]) ).
cnf(s507,plain,
spl98_58,
inference(rat,[],[s471,s458,s452]) ).
cnf(s508,plain,
~ spl98_224,
inference(rat,[],[s494,s451]) ).
cnf(s509,plain,
~ spl98_221,
inference(rat,[],[s493,s451]) ).
cnf(s510,plain,
~ spl98_218,
inference(rat,[],[s492,s451]) ).
cnf(s511,plain,
spl98_56,
inference(rat,[],[s467,s458,s447]) ).
cnf(s512,plain,
~ spl98_209,
inference(rat,[],[s490,s445]) ).
cnf(s513,plain,
~ spl98_199,
inference(rat,[],[s489,s445]) ).
cnf(s514,plain,
~ spl98_194,
inference(rat,[],[s488,s445]) ).
cnf(s515,plain,
spl98_54,
inference(rat,[],[s463,s458,s442]) ).
cnf(s516,plain,
~ spl98_180,
inference(rat,[],[s486,s439]) ).
cnf(s517,plain,
~ spl98_173,
inference(rat,[],[s485,s439]) ).
cnf(s518,plain,
~ spl98_159,
inference(rat,[],[s484,s439]) ).
cnf(s519,plain,
spl98_52,
inference(rat,[],[s459,s458,s437]) ).
cnf(s520,plain,
~ spl98_141,
inference(rat,[],[s482,s433]) ).
cnf(s521,plain,
~ spl98_132,
inference(rat,[],[s481,s433]) ).
cnf(s522,plain,
~ spl98_123,
inference(rat,[],[s480,s433]) ).
cnf(s523,plain,
~ spl98_108,
inference(rat,[],[s432,s497]) ).
cnf(s524,plain,
~ spl98_107,
inference(rat,[],[s430,s498]) ).
cnf(s525,plain,
~ spl98_106,
inference(rat,[],[s427,s452]) ).
cnf(s526,plain,
~ spl98_104,
inference(rat,[],[s424,s508]) ).
cnf(s527,plain,
~ spl98_103,
inference(rat,[],[s422,s509]) ).
cnf(s528,plain,
~ spl98_102,
inference(rat,[],[s420,s510]) ).
cnf(s529,plain,
~ spl98_101,
inference(rat,[],[s417,s447]) ).
cnf(s530,plain,
~ spl98_100,
inference(rat,[],[s416,s512]) ).
cnf(s531,plain,
~ spl98_98,
inference(rat,[],[s412,s513]) ).
cnf(s532,plain,
~ spl98_97,
inference(rat,[],[s410,s514]) ).
cnf(s533,plain,
~ spl98_96,
inference(rat,[],[s407,s442]) ).
cnf(s534,plain,
~ spl98_95,
inference(rat,[],[s406,s516]) ).
cnf(s535,plain,
~ spl98_94,
inference(rat,[],[s404,s517]) ).
cnf(s536,plain,
~ spl98_92,
inference(rat,[],[s400,s518]) ).
cnf(s537,plain,
~ spl98_91,
inference(rat,[],[s397,s437]) ).
cnf(s538,plain,
~ spl98_90,
inference(rat,[],[s396,s520]) ).
cnf(s539,plain,
~ spl98_89,
inference(rat,[],[s394,s521]) ).
cnf(s540,plain,
~ spl98_88,
inference(rat,[],[s392,s522]) ).
cnf(s541,plain,
~ spl98_86,
inference(rat,[],[s388,s457]) ).
cnf(s542,plain,
~ spl98_85,
inference(rat,[],[s382,s456]) ).
cnf(s543,plain,
~ spl98_84,
inference(rat,[],[s376,s455]) ).
cnf(s544,plain,
~ spl98_83,
inference(rat,[],[s370,s454]) ).
cnf(s545,plain,
~ spl98_82,
inference(rat,[],[s364,s453]) ).
cnf(s546,plain,
~ spl98_81,
inference(rat,[],[s362,s452]) ).
cnf(s547,plain,
~ spl98_80,
inference(rat,[],[s358,s451]) ).
cnf(s548,plain,
~ spl98_79,
inference(rat,[],[s350,s450]) ).
cnf(s549,plain,
~ spl98_78,
inference(rat,[],[s344,s449]) ).
cnf(s550,plain,
~ spl98_77,
inference(rat,[],[s341,s448]) ).
cnf(s551,plain,
~ spl98_76,
inference(rat,[],[s336,s447]) ).
cnf(s552,plain,
~ spl98_75,
inference(rat,[],[s329,s446]) ).
cnf(s553,plain,
~ spl98_74,
inference(rat,[],[s328,s445]) ).
cnf(s554,plain,
~ spl98_73,
inference(rat,[],[s322,s444]) ).
cnf(s555,plain,
~ spl98_72,
inference(rat,[],[s315,s443]) ).
cnf(s556,plain,
~ spl98_71,
inference(rat,[],[s310,s442]) ).
cnf(s557,plain,
~ spl98_70,
inference(rat,[],[s306,s441]) ).
cnf(s558,plain,
~ spl98_69,
inference(rat,[],[s299,s440]) ).
cnf(s559,plain,
~ spl98_68,
inference(rat,[],[s298,s439]) ).
cnf(s560,plain,
~ spl98_67,
inference(rat,[],[s292,s438]) ).
cnf(s561,plain,
~ spl98_66,
inference(rat,[],[s284,s437]) ).
cnf(s562,plain,
~ spl98_65,
inference(rat,[],[s280,s436]) ).
cnf(s563,plain,
~ spl98_64,
inference(rat,[],[s277,s435]) ).
cnf(s564,plain,
~ spl98_63,
inference(rat,[],[s271,s434]) ).
cnf(s565,plain,
~ spl98_62,
inference(rat,[],[s268,s433]) ).
cnf(s566,plain,
~ spl98_51,
inference(rat,[],[s263,s458]) ).
cnf(s567,plain,
~ spl98_50,
inference(rat,[],[s258,s457]) ).
cnf(s568,plain,
~ spl98_49,
inference(rat,[],[s253,s457]) ).
cnf(s569,plain,
~ spl98_48,
inference(rat,[],[s247,s456]) ).
cnf(s570,plain,
~ spl98_47,
inference(rat,[],[s242,s452]) ).
cnf(s571,plain,
~ spl98_46,
inference(rat,[],[s236,s455]) ).
cnf(s572,plain,
~ spl98_45,
inference(rat,[],[s231,s447]) ).
cnf(s573,plain,
~ spl98_44,
inference(rat,[],[s225,s454]) ).
cnf(s574,plain,
~ spl98_43,
inference(rat,[],[s220,s442]) ).
cnf(s575,plain,
~ spl98_42,
inference(rat,[],[s214,s453]) ).
cnf(s576,plain,
~ spl98_41,
inference(rat,[],[s209,s437]) ).
cnf(s577,plain,
~ spl98_40,
inference(rat,[],[s207,s451]) ).
cnf(s578,plain,
~ spl98_39,
inference(rat,[],[s202,s451]) ).
cnf(s579,plain,
~ spl98_38,
inference(rat,[],[s198,s452]) ).
cnf(s580,plain,
~ spl98_37,
inference(rat,[],[s193,s456]) ).
cnf(s581,plain,
~ spl98_36,
inference(rat,[],[s184,s448]) ).
cnf(s582,plain,
~ spl98_35,
inference(rat,[],[s180,s441]) ).
cnf(s583,plain,
~ spl98_34,
inference(rat,[],[s176,s450]) ).
cnf(s584,plain,
~ spl98_33,
inference(rat,[],[s169,s436]) ).
cnf(s585,plain,
~ spl98_32,
inference(rat,[],[s165,s449]) ).
cnf(s586,plain,
~ spl98_31,
inference(rat,[],[s161,s446]) ).
cnf(s587,plain,
~ spl98_30,
inference(rat,[],[s156,s445]) ).
cnf(s588,plain,
~ spl98_29,
inference(rat,[],[s151,s445]) ).
cnf(s589,plain,
~ spl98_28,
inference(rat,[],[s145,s444]) ).
cnf(s590,plain,
~ spl98_27,
inference(rat,[],[s139,s435]) ).
cnf(s591,plain,
~ spl98_26,
inference(rat,[],[s138,s447]) ).
cnf(s592,plain,
~ spl98_25,
inference(rat,[],[s133,s455]) ).
cnf(s593,plain,
~ spl98_24,
inference(rat,[],[s124,s443]) ).
cnf(s594,plain,
~ spl98_23,
inference(rat,[],[s122,s450]) ).
cnf(s595,plain,
~ spl98_22,
inference(rat,[],[s117,s446]) ).
cnf(s596,plain,
~ spl98_21,
inference(rat,[],[s110,s440]) ).
cnf(s597,plain,
~ spl98_20,
inference(rat,[],[s105,s439]) ).
cnf(s598,plain,
~ spl98_19,
inference(rat,[],[s100,s439]) ).
cnf(s599,plain,
~ spl98_18,
inference(rat,[],[s94,s438]) ).
cnf(s600,plain,
~ spl98_17,
inference(rat,[],[s91,s444]) ).
cnf(s601,plain,
~ spl98_16,
inference(rat,[],[s87,s441]) ).
cnf(s602,plain,
~ spl98_15,
inference(rat,[],[s79,s434]) ).
cnf(s603,plain,
~ spl98_14,
inference(rat,[],[s78,s442]) ).
cnf(s604,plain,
~ spl98_13,
inference(rat,[],[s73,s454]) ).
cnf(s605,plain,
~ spl98_12,
inference(rat,[],[s66,s440]) ).
cnf(s606,plain,
~ spl98_11,
inference(rat,[],[s62,s449]) ).
cnf(s607,plain,
~ spl98_10,
inference(rat,[],[s54,s433]) ).
cnf(s608,plain,
~ spl98_9,
inference(rat,[],[s49,s433]) ).
cnf(s609,plain,
~ spl98_8,
inference(rat,[],[s46,s435]) ).
cnf(s610,plain,
~ spl98_7,
inference(rat,[],[s40,s438]) ).
cnf(s611,plain,
~ spl98_6,
inference(rat,[],[s35,s434]) ).
cnf(s612,plain,
~ spl98_5,
inference(rat,[],[s32,s448]) ).
cnf(s613,plain,
~ spl98_4,
inference(rat,[],[s27,s436]) ).
cnf(s614,plain,
~ spl98_3,
inference(rat,[],[s21,s443]) ).
cnf(s615,plain,
~ spl98_2,
inference(rat,[],[s18,s437]) ).
cnf(s616,plain,
~ spl98_1,
inference(rat,[],[s13,s453]) ).
cnf(s617,plain,
( spl98_87
| spl98_93
| spl98_99
| spl98_105 ),
inference(rat,[],[s4,s499,s500,s457,s523,s524,s525,s526,s527,s528,s529,s530,s531,s532,s533,s534,s535,s536,s537,s538,s539,s540,s541,s542,s543,s544,s545,s546,s547,s548,s549,s550,s551,s552,s553,s554,s555,s556,s557,s558,s559,s560,s561,s562,s563,s564,s565,s501,s502,s503,s507,s504,s511,s505,s515,s506,s519,s566,s567,s568,s569,s570,s571,s572,s573,s574,s575,s576,s577,s578,s579,s580,s581,s582,s583,s584,s585,s586,s587,s588,s589,s590,s591,s592,s593,s594,s595,s596,s597,s598,s599,s600,s601,s602,s603,s604,s605,s606,s607,s608,s609,s610,s611,s612,s613,s614,s615,s616]) ).
cnf(s621,plain,
~ spl98_105,
inference(rat,[],[s425,s426]) ).
cnf(s622,plain,
~ spl98_99,
inference(rat,[],[s413,s414]) ).
cnf(s623,plain,
~ spl98_93,
inference(rat,[],[s401,s402]) ).
cnf(s624,plain,
spl98_87,
inference(rat,[],[s617,s621,s622,s623]) ).
cnf(s625,plain,
spl98_114,
inference(rat,[],[s390,s624]) ).
cnf(s626,plain,
$false,
inference(rat,[],[s389,s625,s624]) ).
fof(f2213,plain,
$false,
inference(avatar_sat_refutation,[],[s626]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG091+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n020.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Mon Sep 28 19:26:50 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 Running first-order theorem proving
% 0.08/0.20 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
% 1.90/0.68 % (451645)Detected formulas, will run a generic FOF schedule.
% 1.90/0.68 % (451655)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2494735674:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.90/0.68 % (451655)First to succeed.
% 1.90/0.68 % (451655)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-451645"
% 1.90/0.68 % (451652)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=257562579:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.90/0.68 % (451656)dis-21_1_sil=8000:lcm=predicate:random_seed=1375308319: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)
% 1.90/0.68 % (451654)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2433093033:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.90/0.68 % (451651)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=828104750:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.90/0.68 % (451650)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=2932388195:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.90/0.68 % (451653)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3384863340:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.90/0.68 % (451656)Refutation not found, incomplete strategy
% 1.90/0.68 % (451656)------------------------------
% 1.90/0.68 % (451656)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.90/0.68 % (451656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.90/0.68 % (451656)CaDiCaL version: 2.1.3
% 1.90/0.68 % (451656)Termination reason: Refutation not found, incomplete strategy
% 1.90/0.68 % (451656)Time elapsed: 0.015 s
% 1.90/0.68 % (451656)Peak memory usage: 89 MB
% 1.90/0.68 % (451656)Instructions burned: 29 (million)
% 1.90/0.68 % (451654)Also succeeded, but the first one will report.
% 1.90/0.68 % (451653)Refutation not found, incomplete strategy
% 1.90/0.68 % (451653)------------------------------
% 1.90/0.68 % (451653)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.90/0.68 % (451653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.90/0.68 % (451653)CaDiCaL version: 2.1.3
% 1.90/0.68 % (451653)Termination reason: Refutation not found, incomplete strategy
% 1.90/0.68 % (451653)Time elapsed: 0.049 s
% 1.90/0.68 % (451653)Peak memory usage: 90 MB
% 1.90/0.68 % (451653)Instructions burned: 104 (million)
% 1.90/0.68 % (451655)Refutation found. Thanks to Tanya!
% 1.90/0.68 % SZS status Theorem for theBenchmark
% 1.90/0.68 % SZS output start Proof for theBenchmark
% See solution above
% 2.34/0.87 % (451655)------------------------------
% 2.34/0.87 % (451655)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.34/0.87 % (451655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.87 % (451655)CaDiCaL version: 2.1.3
% 2.34/0.87 % (451655)Termination reason: Refutation
% 2.34/0.87 % (451655)Time elapsed: 0.017 s
% 2.34/0.87 % (451655)Peak memory usage: 90 MB
% 2.34/0.87 % (451655)Instructions burned: 63 (million)
% 2.34/0.87 % (451655)------------------------------
% 2.34/0.87 % (451655)------------------------------
% 2.34/0.87 % (451645)Success in time 0.281 s
% 2.34/0.87 % Vampire exiting
%------------------------------------------------------------------------------