%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ALG095+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n002.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 09:21:29 AM UTC 2026
% Result : Theorem 0.07s 0.26s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 187
% Syntax : Number of formulae : 743 ( 180 unt; 183 def)
% Number of atoms : 4006 (2582 equ)
% Maximal formula atoms : 465 ( 5 avg)
% Number of connectives : 5468 (2205 ~;1871 |;1285 &)
% ( 107 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 115 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 185 ( 183 usr; 184 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) = e2
& op(e1,e2) = e4
& op(e1,e3) = e0
& op(e1,e4) = e3
& op(e2,e0) = e2
& op(e2,e1) = e0
& op(e2,e2) = e3
& op(e2,e3) = e4
& op(e2,e4) = e1
& op(e3,e0) = e3
& op(e3,e1) = e4
& op(e3,e2) = e0
& op(e3,e3) = e1
& op(e3,e4) = e2
& 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) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
| ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
| ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
| ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
| ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
| ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
| ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
| ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
| ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
| ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
| ( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4
& op(op(e4,e0),e4) != e0 )
| ( op(e1,e4) != op(e4,e1)
& op(op(e4,e1),e1) = e4
& op(op(e4,e1),e4) != e1 )
| ( op(e2,e4) != op(e4,e2)
& op(op(e4,e2),e2) = e4
& op(op(e4,e2),e4) != e2 )
| ( op(e3,e4) != op(e4,e3)
& op(op(e4,e3),e3) = e4
& op(op(e4,e3),e4) != e3 )
| ( op(e4,e4) != op(e4,e4)
& op(op(e4,e4),e4) = e4
& op(op(e4,e4),e4) != e4 ) )
& ( 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) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
| ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
| ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
| ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
| ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
| ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
| ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
| ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
| ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
| ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
| ( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4
& op(op(e4,e0),e4) != e0 )
| ( op(e1,e4) != op(e4,e1)
& op(op(e4,e1),e1) = e4
& op(op(e4,e1),e4) != e1 )
| ( op(e2,e4) != op(e4,e2)
& op(op(e4,e2),e2) = e4
& op(op(e4,e2),e4) != e2 )
| ( op(e3,e4) != op(e4,e3)
& op(op(e4,e3),e3) = e4
& op(op(e4,e3),e4) != e3 )
| ( op(e4,e4) != op(e4,e4)
& op(op(e4,e4),e4) = e4
& op(op(e4,e4),e4) != e4 ) )
& ( 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,
( ( ( op(e0,e0) = op(e0,e0)
| e0 != op(op(e0,e0),e0)
| e0 = op(op(e0,e0),e0) )
& ( op(e0,e1) = op(e1,e0)
| e0 != op(op(e0,e1),e1)
| e1 = op(op(e0,e1),e0) )
& ( op(e0,e2) = op(e2,e0)
| e0 != op(op(e0,e2),e2)
| e2 = op(op(e0,e2),e0) )
& ( op(e0,e3) = op(e3,e0)
| e0 != op(op(e0,e3),e3)
| e3 = op(op(e0,e3),e0) )
& ( op(e0,e4) = op(e4,e0)
| e0 != op(op(e0,e4),e4)
| e4 = op(op(e0,e4),e0) )
& ( op(e0,e1) = op(e1,e0)
| e1 != op(op(e1,e0),e0)
| e0 = op(op(e1,e0),e1) )
& ( op(e1,e1) = op(e1,e1)
| e1 != op(op(e1,e1),e1)
| e1 = op(op(e1,e1),e1) )
& ( op(e1,e2) = op(e2,e1)
| e1 != op(op(e1,e2),e2)
| e2 = op(op(e1,e2),e1) )
& ( op(e1,e3) = op(e3,e1)
| e1 != op(op(e1,e3),e3)
| e3 = op(op(e1,e3),e1) )
& ( op(e1,e4) = op(e4,e1)
| e1 != op(op(e1,e4),e4)
| e4 = op(op(e1,e4),e1) )
& ( op(e0,e2) = op(e2,e0)
| e2 != op(op(e2,e0),e0)
| e0 = op(op(e2,e0),e2) )
& ( op(e1,e2) = op(e2,e1)
| e2 != op(op(e2,e1),e1)
| e1 = op(op(e2,e1),e2) )
& ( op(e2,e2) = op(e2,e2)
| e2 != op(op(e2,e2),e2)
| e2 = op(op(e2,e2),e2) )
& ( op(e2,e3) = op(e3,e2)
| e2 != op(op(e2,e3),e3)
| e3 = op(op(e2,e3),e2) )
& ( op(e2,e4) = op(e4,e2)
| e2 != op(op(e2,e4),e4)
| e4 = op(op(e2,e4),e2) )
& ( op(e0,e3) = op(e3,e0)
| e3 != op(op(e3,e0),e0)
| e0 = op(op(e3,e0),e3) )
& ( op(e1,e3) = op(e3,e1)
| e3 != op(op(e3,e1),e1)
| e1 = op(op(e3,e1),e3) )
& ( op(e2,e3) = op(e3,e2)
| e3 != op(op(e3,e2),e2)
| e2 = op(op(e3,e2),e3) )
& ( op(e3,e3) = op(e3,e3)
| e3 != op(op(e3,e3),e3)
| e3 = op(op(e3,e3),e3) )
& ( op(e3,e4) = op(e4,e3)
| e3 != op(op(e3,e4),e4)
| e4 = op(op(e3,e4),e3) )
& ( op(e0,e4) = op(e4,e0)
| e4 != op(op(e4,e0),e0)
| e0 = op(op(e4,e0),e4) )
& ( op(e1,e4) = op(e4,e1)
| e4 != op(op(e4,e1),e1)
| e1 = op(op(e4,e1),e4) )
& ( op(e2,e4) = op(e4,e2)
| e4 != op(op(e4,e2),e2)
| e2 = op(op(e4,e2),e4) )
& ( op(e3,e4) = op(e4,e3)
| e4 != op(op(e4,e3),e3)
| e3 = op(op(e4,e3),e4) )
& ( op(e4,e4) = op(e4,e4)
| e4 != op(op(e4,e4),e4)
| e4 = op(op(e4,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,
( ( ( op(e0,e0) = op(e0,e0)
| e0 != op(op(e0,e0),e0)
| e0 = op(op(e0,e0),e0) )
& ( op(e0,e1) = op(e1,e0)
| e0 != op(op(e0,e1),e1)
| e1 = op(op(e0,e1),e0) )
& ( op(e0,e2) = op(e2,e0)
| e0 != op(op(e0,e2),e2)
| e2 = op(op(e0,e2),e0) )
& ( op(e0,e3) = op(e3,e0)
| e0 != op(op(e0,e3),e3)
| e3 = op(op(e0,e3),e0) )
& ( op(e0,e4) = op(e4,e0)
| e0 != op(op(e0,e4),e4)
| e4 = op(op(e0,e4),e0) )
& ( op(e0,e1) = op(e1,e0)
| e1 != op(op(e1,e0),e0)
| e0 = op(op(e1,e0),e1) )
& ( op(e1,e1) = op(e1,e1)
| e1 != op(op(e1,e1),e1)
| e1 = op(op(e1,e1),e1) )
& ( op(e1,e2) = op(e2,e1)
| e1 != op(op(e1,e2),e2)
| e2 = op(op(e1,e2),e1) )
& ( op(e1,e3) = op(e3,e1)
| e1 != op(op(e1,e3),e3)
| e3 = op(op(e1,e3),e1) )
& ( op(e1,e4) = op(e4,e1)
| e1 != op(op(e1,e4),e4)
| e4 = op(op(e1,e4),e1) )
& ( op(e0,e2) = op(e2,e0)
| e2 != op(op(e2,e0),e0)
| e0 = op(op(e2,e0),e2) )
& ( op(e1,e2) = op(e2,e1)
| e2 != op(op(e2,e1),e1)
| e1 = op(op(e2,e1),e2) )
& ( op(e2,e2) = op(e2,e2)
| e2 != op(op(e2,e2),e2)
| e2 = op(op(e2,e2),e2) )
& ( op(e2,e3) = op(e3,e2)
| e2 != op(op(e2,e3),e3)
| e3 = op(op(e2,e3),e2) )
& ( op(e2,e4) = op(e4,e2)
| e2 != op(op(e2,e4),e4)
| e4 = op(op(e2,e4),e2) )
& ( op(e0,e3) = op(e3,e0)
| e3 != op(op(e3,e0),e0)
| e0 = op(op(e3,e0),e3) )
& ( op(e1,e3) = op(e3,e1)
| e3 != op(op(e3,e1),e1)
| e1 = op(op(e3,e1),e3) )
& ( op(e2,e3) = op(e3,e2)
| e3 != op(op(e3,e2),e2)
| e2 = op(op(e3,e2),e3) )
& ( op(e3,e3) = op(e3,e3)
| e3 != op(op(e3,e3),e3)
| e3 = op(op(e3,e3),e3) )
& ( op(e3,e4) = op(e4,e3)
| e3 != op(op(e3,e4),e4)
| e4 = op(op(e3,e4),e3) )
& ( op(e0,e4) = op(e4,e0)
| e4 != op(op(e4,e0),e0)
| e0 = op(op(e4,e0),e4) )
& ( op(e1,e4) = op(e4,e1)
| e4 != op(op(e4,e1),e1)
| e1 = op(op(e4,e1),e4) )
& ( op(e2,e4) = op(e4,e2)
| e4 != op(op(e4,e2),e2)
| e2 = op(op(e4,e2),e4) )
& ( op(e3,e4) = op(e4,e3)
| e4 != op(op(e4,e3),e3)
| e3 = op(op(e4,e3),e4) )
& ( op(e4,e4) = op(e4,e4)
| e4 != op(op(e4,e4),e4)
| e4 = op(op(e4,e4),e4) ) )
| ~ sP0 ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f8,definition,
( ( e4 != op(e0,e4)
& e4 != op(e1,e4)
& e4 != op(e2,e4)
& e4 != op(e3,e4)
& e4 != op(e4,e4) )
| ~ sP1 ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f9,definition,
( ( e4 != op(e4,e0)
& e4 != op(e4,e1)
& e4 != op(e4,e2)
& e4 != op(e4,e3)
& e4 != op(e4,e4) )
| ~ sP2 ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f10,definition,
( ( e3 != op(e0,e4)
& e3 != op(e1,e4)
& e3 != op(e2,e4)
& e3 != op(e3,e4)
& e3 != op(e4,e4) )
| ~ sP3 ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f11,definition,
( ( e3 != op(e4,e0)
& e3 != op(e4,e1)
& e3 != op(e4,e2)
& e3 != op(e4,e3)
& e3 != op(e4,e4) )
| ~ sP4 ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f12,definition,
( ( e2 != op(e0,e4)
& e2 != op(e1,e4)
& e2 != op(e2,e4)
& e2 != op(e3,e4)
& e2 != op(e4,e4) )
| ~ sP5 ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f13,definition,
( ( e2 != op(e4,e0)
& e2 != op(e4,e1)
& e2 != op(e4,e2)
& e2 != op(e4,e3)
& e2 != op(e4,e4) )
| ~ sP6 ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f14,definition,
( ( e1 != op(e0,e4)
& e1 != op(e1,e4)
& e1 != op(e2,e4)
& e1 != op(e3,e4)
& e1 != op(e4,e4) )
| ~ sP7 ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f15,definition,
( ( e1 != op(e4,e0)
& e1 != op(e4,e1)
& e1 != op(e4,e2)
& e1 != op(e4,e3)
& e1 != op(e4,e4) )
| ~ sP8 ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f16,definition,
( ( e0 != op(e0,e4)
& e0 != op(e1,e4)
& e0 != op(e2,e4)
& e0 != op(e3,e4)
& e0 != op(e4,e4) )
| ~ sP9 ),
introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).
fof(f17,definition,
( ( e0 != op(e4,e0)
& e0 != op(e4,e1)
& e0 != op(e4,e2)
& e0 != op(e4,e3)
& e0 != op(e4,e4) )
| ~ sP10 ),
introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).
fof(f18,definition,
( ( e4 != op(e0,e3)
& e4 != op(e1,e3)
& e4 != op(e2,e3)
& e4 != op(e3,e3)
& e4 != op(e4,e3) )
| ~ sP11 ),
introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).
fof(f19,definition,
( ( e4 != op(e3,e0)
& e4 != op(e3,e1)
& e4 != op(e3,e2)
& e4 != op(e3,e3)
& e4 != op(e3,e4) )
| ~ sP12 ),
introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).
fof(f20,definition,
( ( e3 != op(e0,e3)
& e3 != op(e1,e3)
& e3 != op(e2,e3)
& e3 != op(e3,e3)
& e3 != op(e4,e3) )
| ~ sP13 ),
introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).
fof(f21,definition,
( ( e3 != op(e3,e0)
& e3 != op(e3,e1)
& e3 != op(e3,e2)
& e3 != op(e3,e3)
& e3 != op(e3,e4) )
| ~ sP14 ),
introduced(definition,[new_symbols(definition,[sP14])],[predicate_definition_introduction]) ).
fof(f22,definition,
( ( e2 != op(e0,e3)
& e2 != op(e1,e3)
& e2 != op(e2,e3)
& e2 != op(e3,e3)
& e2 != op(e4,e3) )
| ~ sP15 ),
introduced(definition,[new_symbols(definition,[sP15])],[predicate_definition_introduction]) ).
fof(f23,definition,
( ( e2 != op(e3,e0)
& e2 != op(e3,e1)
& e2 != op(e3,e2)
& e2 != op(e3,e3)
& e2 != op(e3,e4) )
| ~ sP16 ),
introduced(definition,[new_symbols(definition,[sP16])],[predicate_definition_introduction]) ).
fof(f24,definition,
( ( e1 != op(e0,e3)
& e1 != op(e1,e3)
& e1 != op(e2,e3)
& e1 != op(e3,e3)
& e1 != op(e4,e3) )
| ~ sP17 ),
introduced(definition,[new_symbols(definition,[sP17])],[predicate_definition_introduction]) ).
fof(f25,definition,
( ( e1 != op(e3,e0)
& e1 != op(e3,e1)
& e1 != op(e3,e2)
& e1 != op(e3,e3)
& e1 != op(e3,e4) )
| ~ sP18 ),
introduced(definition,[new_symbols(definition,[sP18])],[predicate_definition_introduction]) ).
fof(f26,definition,
( ( e0 != op(e0,e3)
& e0 != op(e1,e3)
& e0 != op(e2,e3)
& e0 != op(e3,e3)
& e0 != op(e4,e3) )
| ~ sP19 ),
introduced(definition,[new_symbols(definition,[sP19])],[predicate_definition_introduction]) ).
fof(f27,definition,
( ( e0 != op(e3,e0)
& e0 != op(e3,e1)
& e0 != op(e3,e2)
& e0 != op(e3,e3)
& e0 != op(e3,e4) )
| ~ sP20 ),
introduced(definition,[new_symbols(definition,[sP20])],[predicate_definition_introduction]) ).
fof(f28,definition,
( ( e4 != op(e0,e2)
& e4 != op(e1,e2)
& e4 != op(e2,e2)
& e4 != op(e3,e2)
& e4 != op(e4,e2) )
| ~ sP21 ),
introduced(definition,[new_symbols(definition,[sP21])],[predicate_definition_introduction]) ).
fof(f29,definition,
( ( e4 != op(e2,e0)
& e4 != op(e2,e1)
& e4 != op(e2,e2)
& e4 != op(e2,e3)
& e4 != op(e2,e4) )
| ~ sP22 ),
introduced(definition,[new_symbols(definition,[sP22])],[predicate_definition_introduction]) ).
fof(f30,definition,
( ( e3 != op(e0,e2)
& e3 != op(e1,e2)
& e3 != op(e2,e2)
& e3 != op(e3,e2)
& e3 != op(e4,e2) )
| ~ sP23 ),
introduced(definition,[new_symbols(definition,[sP23])],[predicate_definition_introduction]) ).
fof(f31,definition,
( ( e3 != op(e2,e0)
& e3 != op(e2,e1)
& e3 != op(e2,e2)
& e3 != op(e2,e3)
& e3 != op(e2,e4) )
| ~ sP24 ),
introduced(definition,[new_symbols(definition,[sP24])],[predicate_definition_introduction]) ).
fof(f32,definition,
( ( e2 != op(e0,e2)
& e2 != op(e1,e2)
& e2 != op(e2,e2)
& e2 != op(e3,e2)
& e2 != op(e4,e2) )
| ~ sP25 ),
introduced(definition,[new_symbols(definition,[sP25])],[predicate_definition_introduction]) ).
fof(f33,definition,
( ( e2 != op(e2,e0)
& e2 != op(e2,e1)
& e2 != op(e2,e2)
& e2 != op(e2,e3)
& e2 != op(e2,e4) )
| ~ sP26 ),
introduced(definition,[new_symbols(definition,[sP26])],[predicate_definition_introduction]) ).
fof(f34,definition,
( ( e1 != op(e0,e2)
& e1 != op(e1,e2)
& e1 != op(e2,e2)
& e1 != op(e3,e2)
& e1 != op(e4,e2) )
| ~ sP27 ),
introduced(definition,[new_symbols(definition,[sP27])],[predicate_definition_introduction]) ).
fof(f35,definition,
( ( e1 != op(e2,e0)
& e1 != op(e2,e1)
& e1 != op(e2,e2)
& e1 != op(e2,e3)
& e1 != op(e2,e4) )
| ~ sP28 ),
introduced(definition,[new_symbols(definition,[sP28])],[predicate_definition_introduction]) ).
fof(f36,definition,
( ( e0 != op(e0,e2)
& e0 != op(e1,e2)
& e0 != op(e2,e2)
& e0 != op(e3,e2)
& e0 != op(e4,e2) )
| ~ sP29 ),
introduced(definition,[new_symbols(definition,[sP29])],[predicate_definition_introduction]) ).
fof(f37,definition,
( ( e0 != op(e2,e0)
& e0 != op(e2,e1)
& e0 != op(e2,e2)
& e0 != op(e2,e3)
& e0 != op(e2,e4) )
| ~ sP30 ),
introduced(definition,[new_symbols(definition,[sP30])],[predicate_definition_introduction]) ).
fof(f38,definition,
( ( e4 != op(e0,e1)
& e4 != op(e1,e1)
& e4 != op(e2,e1)
& e4 != op(e3,e1)
& e4 != op(e4,e1) )
| ~ sP31 ),
introduced(definition,[new_symbols(definition,[sP31])],[predicate_definition_introduction]) ).
fof(f39,definition,
( ( e4 != op(e1,e0)
& e4 != op(e1,e1)
& e4 != op(e1,e2)
& e4 != op(e1,e3)
& e4 != op(e1,e4) )
| ~ sP32 ),
introduced(definition,[new_symbols(definition,[sP32])],[predicate_definition_introduction]) ).
fof(f40,definition,
( ( e3 != op(e0,e1)
& e3 != op(e1,e1)
& e3 != op(e2,e1)
& e3 != op(e3,e1)
& e3 != op(e4,e1) )
| ~ sP33 ),
introduced(definition,[new_symbols(definition,[sP33])],[predicate_definition_introduction]) ).
fof(f41,definition,
( ( e3 != op(e1,e0)
& e3 != op(e1,e1)
& e3 != op(e1,e2)
& e3 != op(e1,e3)
& e3 != op(e1,e4) )
| ~ sP34 ),
introduced(definition,[new_symbols(definition,[sP34])],[predicate_definition_introduction]) ).
fof(f42,definition,
( ( e2 != op(e0,e1)
& e2 != op(e1,e1)
& e2 != op(e2,e1)
& e2 != op(e3,e1)
& e2 != op(e4,e1) )
| ~ sP35 ),
introduced(definition,[new_symbols(definition,[sP35])],[predicate_definition_introduction]) ).
fof(f43,definition,
( ( e2 != op(e1,e0)
& e2 != op(e1,e1)
& e2 != op(e1,e2)
& e2 != op(e1,e3)
& e2 != op(e1,e4) )
| ~ sP36 ),
introduced(definition,[new_symbols(definition,[sP36])],[predicate_definition_introduction]) ).
fof(f44,definition,
( ( e1 != op(e0,e1)
& e1 != op(e1,e1)
& e1 != op(e2,e1)
& e1 != op(e3,e1)
& e1 != op(e4,e1) )
| ~ sP37 ),
introduced(definition,[new_symbols(definition,[sP37])],[predicate_definition_introduction]) ).
fof(f45,definition,
( ( e1 != op(e1,e0)
& e1 != op(e1,e1)
& e1 != op(e1,e2)
& e1 != op(e1,e3)
& e1 != op(e1,e4) )
| ~ sP38 ),
introduced(definition,[new_symbols(definition,[sP38])],[predicate_definition_introduction]) ).
fof(f46,definition,
( ( e0 != op(e0,e1)
& e0 != op(e1,e1)
& e0 != op(e2,e1)
& e0 != op(e3,e1)
& e0 != op(e4,e1) )
| ~ sP39 ),
introduced(definition,[new_symbols(definition,[sP39])],[predicate_definition_introduction]) ).
fof(f47,definition,
( ( e0 != op(e1,e0)
& e0 != op(e1,e1)
& e0 != op(e1,e2)
& e0 != op(e1,e3)
& e0 != op(e1,e4) )
| ~ sP40 ),
introduced(definition,[new_symbols(definition,[sP40])],[predicate_definition_introduction]) ).
fof(f48,definition,
( ( e4 != op(e0,e0)
& e4 != op(e1,e0)
& e4 != op(e2,e0)
& e4 != op(e3,e0)
& e4 != op(e4,e0) )
| ~ sP41 ),
introduced(definition,[new_symbols(definition,[sP41])],[predicate_definition_introduction]) ).
fof(f49,definition,
( ( e4 != op(e0,e0)
& e4 != op(e0,e1)
& e4 != op(e0,e2)
& e4 != op(e0,e3)
& e4 != op(e0,e4) )
| ~ sP42 ),
introduced(definition,[new_symbols(definition,[sP42])],[predicate_definition_introduction]) ).
fof(f50,definition,
( ( e3 != op(e0,e0)
& e3 != op(e1,e0)
& e3 != op(e2,e0)
& e3 != op(e3,e0)
& e3 != op(e4,e0) )
| ~ sP43 ),
introduced(definition,[new_symbols(definition,[sP43])],[predicate_definition_introduction]) ).
fof(f51,definition,
( ( e3 != op(e0,e0)
& e3 != op(e0,e1)
& e3 != op(e0,e2)
& e3 != op(e0,e3)
& e3 != op(e0,e4) )
| ~ sP44 ),
introduced(definition,[new_symbols(definition,[sP44])],[predicate_definition_introduction]) ).
fof(f52,definition,
( ( e2 != op(e0,e0)
& e2 != op(e1,e0)
& e2 != op(e2,e0)
& e2 != op(e3,e0)
& e2 != op(e4,e0) )
| ~ sP45 ),
introduced(definition,[new_symbols(definition,[sP45])],[predicate_definition_introduction]) ).
fof(f53,definition,
( ( e2 != op(e0,e0)
& e2 != op(e0,e1)
& e2 != op(e0,e2)
& e2 != op(e0,e3)
& e2 != op(e0,e4) )
| ~ sP46 ),
introduced(definition,[new_symbols(definition,[sP46])],[predicate_definition_introduction]) ).
fof(f54,definition,
( ( e1 != op(e0,e0)
& e1 != op(e1,e0)
& e1 != op(e2,e0)
& e1 != op(e3,e0)
& e1 != op(e4,e0) )
| ~ sP47 ),
introduced(definition,[new_symbols(definition,[sP47])],[predicate_definition_introduction]) ).
fof(f55,definition,
( ( e1 != op(e0,e0)
& e1 != op(e0,e1)
& e1 != op(e0,e2)
& e1 != op(e0,e3)
& e1 != op(e0,e4) )
| ~ sP48 ),
introduced(definition,[new_symbols(definition,[sP48])],[predicate_definition_introduction]) ).
fof(f56,definition,
( ( e0 != op(e0,e0)
& e0 != op(e1,e0)
& e0 != op(e2,e0)
& e0 != op(e3,e0)
& e0 != op(e4,e0) )
| ~ sP49 ),
introduced(definition,[new_symbols(definition,[sP49])],[predicate_definition_introduction]) ).
fof(f57,definition,
( ( e0 != op(e0,e0)
& e0 != op(e0,e1)
& e0 != op(e0,e2)
& e0 != op(e0,e3)
& e0 != op(e0,e4) )
| ~ sP50 ),
introduced(definition,[new_symbols(definition,[sP50])],[predicate_definition_introduction]) ).
fof(f58,definition,
( ( e0 != unit
& e1 != unit
& e2 != unit
& e3 != unit
& e4 != unit )
| ~ sP51 ),
introduced(definition,[new_symbols(definition,[sP51])],[predicate_definition_introduction]) ).
fof(f59,definition,
( ( e0 != op(e4,e4)
& e1 != op(e4,e4)
& e2 != op(e4,e4)
& e3 != op(e4,e4)
& e4 != op(e4,e4) )
| ~ sP52 ),
introduced(definition,[new_symbols(definition,[sP52])],[predicate_definition_introduction]) ).
fof(f60,definition,
( ( e0 != op(e4,e3)
& e1 != op(e4,e3)
& e2 != op(e4,e3)
& e3 != op(e4,e3)
& e4 != op(e4,e3) )
| ~ sP53 ),
introduced(definition,[new_symbols(definition,[sP53])],[predicate_definition_introduction]) ).
fof(f61,definition,
( ( e0 != op(e4,e2)
& e1 != op(e4,e2)
& e2 != op(e4,e2)
& e3 != op(e4,e2)
& e4 != op(e4,e2) )
| ~ sP54 ),
introduced(definition,[new_symbols(definition,[sP54])],[predicate_definition_introduction]) ).
fof(f62,definition,
( ( e0 != op(e4,e1)
& e1 != op(e4,e1)
& e2 != op(e4,e1)
& e3 != op(e4,e1)
& e4 != op(e4,e1) )
| ~ sP55 ),
introduced(definition,[new_symbols(definition,[sP55])],[predicate_definition_introduction]) ).
fof(f63,definition,
( ( e0 != op(e4,e0)
& e1 != op(e4,e0)
& e2 != op(e4,e0)
& e3 != op(e4,e0)
& e4 != op(e4,e0) )
| ~ sP56 ),
introduced(definition,[new_symbols(definition,[sP56])],[predicate_definition_introduction]) ).
fof(f64,definition,
( ( e0 != op(e3,e4)
& e1 != op(e3,e4)
& e2 != op(e3,e4)
& e3 != op(e3,e4)
& e4 != op(e3,e4) )
| ~ sP57 ),
introduced(definition,[new_symbols(definition,[sP57])],[predicate_definition_introduction]) ).
fof(f65,definition,
( ( e0 != op(e3,e3)
& e1 != op(e3,e3)
& e2 != op(e3,e3)
& e3 != op(e3,e3)
& e4 != op(e3,e3) )
| ~ sP58 ),
introduced(definition,[new_symbols(definition,[sP58])],[predicate_definition_introduction]) ).
fof(f66,definition,
( ( e0 != op(e3,e2)
& e1 != op(e3,e2)
& e2 != op(e3,e2)
& e3 != op(e3,e2)
& e4 != op(e3,e2) )
| ~ sP59 ),
introduced(definition,[new_symbols(definition,[sP59])],[predicate_definition_introduction]) ).
fof(f67,definition,
( ( e0 != op(e3,e1)
& e1 != op(e3,e1)
& e2 != op(e3,e1)
& e3 != op(e3,e1)
& e4 != op(e3,e1) )
| ~ sP60 ),
introduced(definition,[new_symbols(definition,[sP60])],[predicate_definition_introduction]) ).
fof(f68,definition,
( ( e0 != op(e3,e0)
& e1 != op(e3,e0)
& e2 != op(e3,e0)
& e3 != op(e3,e0)
& e4 != op(e3,e0) )
| ~ sP61 ),
introduced(definition,[new_symbols(definition,[sP61])],[predicate_definition_introduction]) ).
fof(f69,definition,
( ( e0 != op(e2,e4)
& e1 != op(e2,e4)
& e2 != op(e2,e4)
& e3 != op(e2,e4)
& e4 != op(e2,e4) )
| ~ sP62 ),
introduced(definition,[new_symbols(definition,[sP62])],[predicate_definition_introduction]) ).
fof(f70,definition,
( ( e0 != op(e2,e3)
& e1 != op(e2,e3)
& e2 != op(e2,e3)
& e3 != op(e2,e3)
& e4 != op(e2,e3) )
| ~ sP63 ),
introduced(definition,[new_symbols(definition,[sP63])],[predicate_definition_introduction]) ).
fof(f71,definition,
( ( e0 != op(e2,e2)
& e1 != op(e2,e2)
& e2 != op(e2,e2)
& e3 != op(e2,e2)
& e4 != op(e2,e2) )
| ~ sP64 ),
introduced(definition,[new_symbols(definition,[sP64])],[predicate_definition_introduction]) ).
fof(f72,definition,
( ( e0 != op(e2,e1)
& e1 != op(e2,e1)
& e2 != op(e2,e1)
& e3 != op(e2,e1)
& e4 != op(e2,e1) )
| ~ sP65 ),
introduced(definition,[new_symbols(definition,[sP65])],[predicate_definition_introduction]) ).
fof(f73,definition,
( ( e0 != op(e2,e0)
& e1 != op(e2,e0)
& e2 != op(e2,e0)
& e3 != op(e2,e0)
& e4 != op(e2,e0) )
| ~ sP66 ),
introduced(definition,[new_symbols(definition,[sP66])],[predicate_definition_introduction]) ).
fof(f74,definition,
( ( e0 != op(e1,e4)
& e1 != op(e1,e4)
& e2 != op(e1,e4)
& e3 != op(e1,e4)
& e4 != op(e1,e4) )
| ~ sP67 ),
introduced(definition,[new_symbols(definition,[sP67])],[predicate_definition_introduction]) ).
fof(f75,definition,
( ( e0 != op(e1,e3)
& e1 != op(e1,e3)
& e2 != op(e1,e3)
& e3 != op(e1,e3)
& e4 != op(e1,e3) )
| ~ sP68 ),
introduced(definition,[new_symbols(definition,[sP68])],[predicate_definition_introduction]) ).
fof(f76,definition,
( ( e0 != op(e1,e2)
& e1 != op(e1,e2)
& e2 != op(e1,e2)
& e3 != op(e1,e2)
& e4 != op(e1,e2) )
| ~ sP69 ),
introduced(definition,[new_symbols(definition,[sP69])],[predicate_definition_introduction]) ).
fof(f77,definition,
( ( e0 != op(e1,e1)
& e1 != op(e1,e1)
& e2 != op(e1,e1)
& e3 != op(e1,e1)
& e4 != op(e1,e1) )
| ~ sP70 ),
introduced(definition,[new_symbols(definition,[sP70])],[predicate_definition_introduction]) ).
fof(f78,definition,
( ( e0 != op(e1,e0)
& e1 != op(e1,e0)
& e2 != op(e1,e0)
& e3 != op(e1,e0)
& e4 != op(e1,e0) )
| ~ sP71 ),
introduced(definition,[new_symbols(definition,[sP71])],[predicate_definition_introduction]) ).
fof(f79,definition,
( ( e0 != op(e0,e4)
& e1 != op(e0,e4)
& e2 != op(e0,e4)
& e3 != op(e0,e4)
& e4 != op(e0,e4) )
| ~ sP72 ),
introduced(definition,[new_symbols(definition,[sP72])],[predicate_definition_introduction]) ).
fof(f80,definition,
( ( e0 != op(e0,e3)
& e1 != op(e0,e3)
& e2 != op(e0,e3)
& e3 != op(e0,e3)
& e4 != op(e0,e3) )
| ~ sP73 ),
introduced(definition,[new_symbols(definition,[sP73])],[predicate_definition_introduction]) ).
fof(f81,definition,
( ( e0 != op(e0,e2)
& e1 != op(e0,e2)
& e2 != op(e0,e2)
& e3 != op(e0,e2)
& e4 != op(e0,e2) )
| ~ sP74 ),
introduced(definition,[new_symbols(definition,[sP74])],[predicate_definition_introduction]) ).
fof(f82,definition,
( ( e0 != op(e0,e1)
& e1 != op(e0,e1)
& e2 != op(e0,e1)
& e3 != op(e0,e1)
& e4 != op(e0,e1) )
| ~ sP75 ),
introduced(definition,[new_symbols(definition,[sP75])],[predicate_definition_introduction]) ).
fof(f83,plain,
( sP0
| ( e0 != op(e0,e0)
& e1 != op(e0,e0)
& e2 != op(e0,e0)
& e3 != op(e0,e0)
& e4 != op(e0,e0) )
| sP75
| sP74
| sP73
| sP72
| sP71
| sP70
| sP69
| sP68
| sP67
| sP66
| sP65
| sP64
| sP63
| sP62
| sP61
| sP60
| sP59
| sP58
| sP57
| sP56
| sP55
| sP54
| sP53
| sP52
| 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)
| sP51
| sP50
| sP49
| sP48
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1 ),
inference(definition_folding,[],[f6,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(f84,plain,
( ( e0 != op(e0,e1)
& e1 != op(e0,e1)
& e2 != op(e0,e1)
& e3 != op(e0,e1)
& e4 != op(e0,e1) )
| ~ sP75 ),
inference(nnf_transformation,[],[f82]) ).
fof(f85,plain,
( ( e0 != op(e0,e2)
& e1 != op(e0,e2)
& e2 != op(e0,e2)
& e3 != op(e0,e2)
& e4 != op(e0,e2) )
| ~ sP74 ),
inference(nnf_transformation,[],[f81]) ).
fof(f86,plain,
( ( e0 != op(e0,e3)
& e1 != op(e0,e3)
& e2 != op(e0,e3)
& e3 != op(e0,e3)
& e4 != op(e0,e3) )
| ~ sP73 ),
inference(nnf_transformation,[],[f80]) ).
fof(f87,plain,
( ( e0 != op(e0,e4)
& e1 != op(e0,e4)
& e2 != op(e0,e4)
& e3 != op(e0,e4)
& e4 != op(e0,e4) )
| ~ sP72 ),
inference(nnf_transformation,[],[f79]) ).
fof(f88,plain,
( ( e0 != op(e1,e0)
& e1 != op(e1,e0)
& e2 != op(e1,e0)
& e3 != op(e1,e0)
& e4 != op(e1,e0) )
| ~ sP71 ),
inference(nnf_transformation,[],[f78]) ).
fof(f89,plain,
( ( e0 != op(e1,e1)
& e1 != op(e1,e1)
& e2 != op(e1,e1)
& e3 != op(e1,e1)
& e4 != op(e1,e1) )
| ~ sP70 ),
inference(nnf_transformation,[],[f77]) ).
fof(f90,plain,
( ( e0 != op(e1,e2)
& e1 != op(e1,e2)
& e2 != op(e1,e2)
& e3 != op(e1,e2)
& e4 != op(e1,e2) )
| ~ sP69 ),
inference(nnf_transformation,[],[f76]) ).
fof(f91,plain,
( ( e0 != op(e1,e3)
& e1 != op(e1,e3)
& e2 != op(e1,e3)
& e3 != op(e1,e3)
& e4 != op(e1,e3) )
| ~ sP68 ),
inference(nnf_transformation,[],[f75]) ).
fof(f92,plain,
( ( e0 != op(e1,e4)
& e1 != op(e1,e4)
& e2 != op(e1,e4)
& e3 != op(e1,e4)
& e4 != op(e1,e4) )
| ~ sP67 ),
inference(nnf_transformation,[],[f74]) ).
fof(f93,plain,
( ( e0 != op(e2,e0)
& e1 != op(e2,e0)
& e2 != op(e2,e0)
& e3 != op(e2,e0)
& e4 != op(e2,e0) )
| ~ sP66 ),
inference(nnf_transformation,[],[f73]) ).
fof(f94,plain,
( ( e0 != op(e2,e1)
& e1 != op(e2,e1)
& e2 != op(e2,e1)
& e3 != op(e2,e1)
& e4 != op(e2,e1) )
| ~ sP65 ),
inference(nnf_transformation,[],[f72]) ).
fof(f95,plain,
( ( e0 != op(e2,e2)
& e1 != op(e2,e2)
& e2 != op(e2,e2)
& e3 != op(e2,e2)
& e4 != op(e2,e2) )
| ~ sP64 ),
inference(nnf_transformation,[],[f71]) ).
fof(f96,plain,
( ( e0 != op(e2,e3)
& e1 != op(e2,e3)
& e2 != op(e2,e3)
& e3 != op(e2,e3)
& e4 != op(e2,e3) )
| ~ sP63 ),
inference(nnf_transformation,[],[f70]) ).
fof(f97,plain,
( ( e0 != op(e2,e4)
& e1 != op(e2,e4)
& e2 != op(e2,e4)
& e3 != op(e2,e4)
& e4 != op(e2,e4) )
| ~ sP62 ),
inference(nnf_transformation,[],[f69]) ).
fof(f98,plain,
( ( e0 != op(e3,e0)
& e1 != op(e3,e0)
& e2 != op(e3,e0)
& e3 != op(e3,e0)
& e4 != op(e3,e0) )
| ~ sP61 ),
inference(nnf_transformation,[],[f68]) ).
fof(f99,plain,
( ( e0 != op(e3,e1)
& e1 != op(e3,e1)
& e2 != op(e3,e1)
& e3 != op(e3,e1)
& e4 != op(e3,e1) )
| ~ sP60 ),
inference(nnf_transformation,[],[f67]) ).
fof(f100,plain,
( ( e0 != op(e3,e2)
& e1 != op(e3,e2)
& e2 != op(e3,e2)
& e3 != op(e3,e2)
& e4 != op(e3,e2) )
| ~ sP59 ),
inference(nnf_transformation,[],[f66]) ).
fof(f101,plain,
( ( e0 != op(e3,e3)
& e1 != op(e3,e3)
& e2 != op(e3,e3)
& e3 != op(e3,e3)
& e4 != op(e3,e3) )
| ~ sP58 ),
inference(nnf_transformation,[],[f65]) ).
fof(f102,plain,
( ( e0 != op(e3,e4)
& e1 != op(e3,e4)
& e2 != op(e3,e4)
& e3 != op(e3,e4)
& e4 != op(e3,e4) )
| ~ sP57 ),
inference(nnf_transformation,[],[f64]) ).
fof(f103,plain,
( ( e0 != op(e4,e0)
& e1 != op(e4,e0)
& e2 != op(e4,e0)
& e3 != op(e4,e0)
& e4 != op(e4,e0) )
| ~ sP56 ),
inference(nnf_transformation,[],[f63]) ).
fof(f104,plain,
( ( e0 != op(e4,e1)
& e1 != op(e4,e1)
& e2 != op(e4,e1)
& e3 != op(e4,e1)
& e4 != op(e4,e1) )
| ~ sP55 ),
inference(nnf_transformation,[],[f62]) ).
fof(f105,plain,
( ( e0 != op(e4,e2)
& e1 != op(e4,e2)
& e2 != op(e4,e2)
& e3 != op(e4,e2)
& e4 != op(e4,e2) )
| ~ sP54 ),
inference(nnf_transformation,[],[f61]) ).
fof(f106,plain,
( ( e0 != op(e4,e3)
& e1 != op(e4,e3)
& e2 != op(e4,e3)
& e3 != op(e4,e3)
& e4 != op(e4,e3) )
| ~ sP53 ),
inference(nnf_transformation,[],[f60]) ).
fof(f107,plain,
( ( e0 != op(e4,e4)
& e1 != op(e4,e4)
& e2 != op(e4,e4)
& e3 != op(e4,e4)
& e4 != op(e4,e4) )
| ~ sP52 ),
inference(nnf_transformation,[],[f59]) ).
fof(f108,plain,
( ( e0 != unit
& e1 != unit
& e2 != unit
& e3 != unit
& e4 != unit )
| ~ sP51 ),
inference(nnf_transformation,[],[f58]) ).
fof(f109,plain,
( ( e0 != op(e0,e0)
& e0 != op(e0,e1)
& e0 != op(e0,e2)
& e0 != op(e0,e3)
& e0 != op(e0,e4) )
| ~ sP50 ),
inference(nnf_transformation,[],[f57]) ).
fof(f110,plain,
( ( e0 != op(e0,e0)
& e0 != op(e1,e0)
& e0 != op(e2,e0)
& e0 != op(e3,e0)
& e0 != op(e4,e0) )
| ~ sP49 ),
inference(nnf_transformation,[],[f56]) ).
fof(f111,plain,
( ( e1 != op(e0,e0)
& e1 != op(e0,e1)
& e1 != op(e0,e2)
& e1 != op(e0,e3)
& e1 != op(e0,e4) )
| ~ sP48 ),
inference(nnf_transformation,[],[f55]) ).
fof(f112,plain,
( ( e1 != op(e0,e0)
& e1 != op(e1,e0)
& e1 != op(e2,e0)
& e1 != op(e3,e0)
& e1 != op(e4,e0) )
| ~ sP47 ),
inference(nnf_transformation,[],[f54]) ).
fof(f113,plain,
( ( e2 != op(e0,e0)
& e2 != op(e0,e1)
& e2 != op(e0,e2)
& e2 != op(e0,e3)
& e2 != op(e0,e4) )
| ~ sP46 ),
inference(nnf_transformation,[],[f53]) ).
fof(f114,plain,
( ( e2 != op(e0,e0)
& e2 != op(e1,e0)
& e2 != op(e2,e0)
& e2 != op(e3,e0)
& e2 != op(e4,e0) )
| ~ sP45 ),
inference(nnf_transformation,[],[f52]) ).
fof(f115,plain,
( ( e3 != op(e0,e0)
& e3 != op(e0,e1)
& e3 != op(e0,e2)
& e3 != op(e0,e3)
& e3 != op(e0,e4) )
| ~ sP44 ),
inference(nnf_transformation,[],[f51]) ).
fof(f116,plain,
( ( e3 != op(e0,e0)
& e3 != op(e1,e0)
& e3 != op(e2,e0)
& e3 != op(e3,e0)
& e3 != op(e4,e0) )
| ~ sP43 ),
inference(nnf_transformation,[],[f50]) ).
fof(f117,plain,
( ( e4 != op(e0,e0)
& e4 != op(e0,e1)
& e4 != op(e0,e2)
& e4 != op(e0,e3)
& e4 != op(e0,e4) )
| ~ sP42 ),
inference(nnf_transformation,[],[f49]) ).
fof(f118,plain,
( ( e4 != op(e0,e0)
& e4 != op(e1,e0)
& e4 != op(e2,e0)
& e4 != op(e3,e0)
& e4 != op(e4,e0) )
| ~ sP41 ),
inference(nnf_transformation,[],[f48]) ).
fof(f119,plain,
( ( e0 != op(e1,e0)
& e0 != op(e1,e1)
& e0 != op(e1,e2)
& e0 != op(e1,e3)
& e0 != op(e1,e4) )
| ~ sP40 ),
inference(nnf_transformation,[],[f47]) ).
fof(f120,plain,
( ( e0 != op(e0,e1)
& e0 != op(e1,e1)
& e0 != op(e2,e1)
& e0 != op(e3,e1)
& e0 != op(e4,e1) )
| ~ sP39 ),
inference(nnf_transformation,[],[f46]) ).
fof(f121,plain,
( ( e1 != op(e1,e0)
& e1 != op(e1,e1)
& e1 != op(e1,e2)
& e1 != op(e1,e3)
& e1 != op(e1,e4) )
| ~ sP38 ),
inference(nnf_transformation,[],[f45]) ).
fof(f122,plain,
( ( e1 != op(e0,e1)
& e1 != op(e1,e1)
& e1 != op(e2,e1)
& e1 != op(e3,e1)
& e1 != op(e4,e1) )
| ~ sP37 ),
inference(nnf_transformation,[],[f44]) ).
fof(f123,plain,
( ( e2 != op(e1,e0)
& e2 != op(e1,e1)
& e2 != op(e1,e2)
& e2 != op(e1,e3)
& e2 != op(e1,e4) )
| ~ sP36 ),
inference(nnf_transformation,[],[f43]) ).
fof(f124,plain,
( ( e2 != op(e0,e1)
& e2 != op(e1,e1)
& e2 != op(e2,e1)
& e2 != op(e3,e1)
& e2 != op(e4,e1) )
| ~ sP35 ),
inference(nnf_transformation,[],[f42]) ).
fof(f125,plain,
( ( e3 != op(e1,e0)
& e3 != op(e1,e1)
& e3 != op(e1,e2)
& e3 != op(e1,e3)
& e3 != op(e1,e4) )
| ~ sP34 ),
inference(nnf_transformation,[],[f41]) ).
fof(f126,plain,
( ( e3 != op(e0,e1)
& e3 != op(e1,e1)
& e3 != op(e2,e1)
& e3 != op(e3,e1)
& e3 != op(e4,e1) )
| ~ sP33 ),
inference(nnf_transformation,[],[f40]) ).
fof(f127,plain,
( ( e4 != op(e1,e0)
& e4 != op(e1,e1)
& e4 != op(e1,e2)
& e4 != op(e1,e3)
& e4 != op(e1,e4) )
| ~ sP32 ),
inference(nnf_transformation,[],[f39]) ).
fof(f128,plain,
( ( e4 != op(e0,e1)
& e4 != op(e1,e1)
& e4 != op(e2,e1)
& e4 != op(e3,e1)
& e4 != op(e4,e1) )
| ~ sP31 ),
inference(nnf_transformation,[],[f38]) ).
fof(f129,plain,
( ( e0 != op(e2,e0)
& e0 != op(e2,e1)
& e0 != op(e2,e2)
& e0 != op(e2,e3)
& e0 != op(e2,e4) )
| ~ sP30 ),
inference(nnf_transformation,[],[f37]) ).
fof(f130,plain,
( ( e0 != op(e0,e2)
& e0 != op(e1,e2)
& e0 != op(e2,e2)
& e0 != op(e3,e2)
& e0 != op(e4,e2) )
| ~ sP29 ),
inference(nnf_transformation,[],[f36]) ).
fof(f131,plain,
( ( e1 != op(e2,e0)
& e1 != op(e2,e1)
& e1 != op(e2,e2)
& e1 != op(e2,e3)
& e1 != op(e2,e4) )
| ~ sP28 ),
inference(nnf_transformation,[],[f35]) ).
fof(f132,plain,
( ( e1 != op(e0,e2)
& e1 != op(e1,e2)
& e1 != op(e2,e2)
& e1 != op(e3,e2)
& e1 != op(e4,e2) )
| ~ sP27 ),
inference(nnf_transformation,[],[f34]) ).
fof(f133,plain,
( ( e2 != op(e2,e0)
& e2 != op(e2,e1)
& e2 != op(e2,e2)
& e2 != op(e2,e3)
& e2 != op(e2,e4) )
| ~ sP26 ),
inference(nnf_transformation,[],[f33]) ).
fof(f134,plain,
( ( e2 != op(e0,e2)
& e2 != op(e1,e2)
& e2 != op(e2,e2)
& e2 != op(e3,e2)
& e2 != op(e4,e2) )
| ~ sP25 ),
inference(nnf_transformation,[],[f32]) ).
fof(f135,plain,
( ( e3 != op(e2,e0)
& e3 != op(e2,e1)
& e3 != op(e2,e2)
& e3 != op(e2,e3)
& e3 != op(e2,e4) )
| ~ sP24 ),
inference(nnf_transformation,[],[f31]) ).
fof(f136,plain,
( ( e3 != op(e0,e2)
& e3 != op(e1,e2)
& e3 != op(e2,e2)
& e3 != op(e3,e2)
& e3 != op(e4,e2) )
| ~ sP23 ),
inference(nnf_transformation,[],[f30]) ).
fof(f137,plain,
( ( e4 != op(e2,e0)
& e4 != op(e2,e1)
& e4 != op(e2,e2)
& e4 != op(e2,e3)
& e4 != op(e2,e4) )
| ~ sP22 ),
inference(nnf_transformation,[],[f29]) ).
fof(f138,plain,
( ( e4 != op(e0,e2)
& e4 != op(e1,e2)
& e4 != op(e2,e2)
& e4 != op(e3,e2)
& e4 != op(e4,e2) )
| ~ sP21 ),
inference(nnf_transformation,[],[f28]) ).
fof(f139,plain,
( ( e0 != op(e3,e0)
& e0 != op(e3,e1)
& e0 != op(e3,e2)
& e0 != op(e3,e3)
& e0 != op(e3,e4) )
| ~ sP20 ),
inference(nnf_transformation,[],[f27]) ).
fof(f140,plain,
( ( e0 != op(e0,e3)
& e0 != op(e1,e3)
& e0 != op(e2,e3)
& e0 != op(e3,e3)
& e0 != op(e4,e3) )
| ~ sP19 ),
inference(nnf_transformation,[],[f26]) ).
fof(f141,plain,
( ( e1 != op(e3,e0)
& e1 != op(e3,e1)
& e1 != op(e3,e2)
& e1 != op(e3,e3)
& e1 != op(e3,e4) )
| ~ sP18 ),
inference(nnf_transformation,[],[f25]) ).
fof(f142,plain,
( ( e1 != op(e0,e3)
& e1 != op(e1,e3)
& e1 != op(e2,e3)
& e1 != op(e3,e3)
& e1 != op(e4,e3) )
| ~ sP17 ),
inference(nnf_transformation,[],[f24]) ).
fof(f143,plain,
( ( e2 != op(e3,e0)
& e2 != op(e3,e1)
& e2 != op(e3,e2)
& e2 != op(e3,e3)
& e2 != op(e3,e4) )
| ~ sP16 ),
inference(nnf_transformation,[],[f23]) ).
fof(f144,plain,
( ( e2 != op(e0,e3)
& e2 != op(e1,e3)
& e2 != op(e2,e3)
& e2 != op(e3,e3)
& e2 != op(e4,e3) )
| ~ sP15 ),
inference(nnf_transformation,[],[f22]) ).
fof(f145,plain,
( ( e3 != op(e3,e0)
& e3 != op(e3,e1)
& e3 != op(e3,e2)
& e3 != op(e3,e3)
& e3 != op(e3,e4) )
| ~ sP14 ),
inference(nnf_transformation,[],[f21]) ).
fof(f146,plain,
( ( e3 != op(e0,e3)
& e3 != op(e1,e3)
& e3 != op(e2,e3)
& e3 != op(e3,e3)
& e3 != op(e4,e3) )
| ~ sP13 ),
inference(nnf_transformation,[],[f20]) ).
fof(f147,plain,
( ( e4 != op(e3,e0)
& e4 != op(e3,e1)
& e4 != op(e3,e2)
& e4 != op(e3,e3)
& e4 != op(e3,e4) )
| ~ sP12 ),
inference(nnf_transformation,[],[f19]) ).
fof(f148,plain,
( ( e4 != op(e0,e3)
& e4 != op(e1,e3)
& e4 != op(e2,e3)
& e4 != op(e3,e3)
& e4 != op(e4,e3) )
| ~ sP11 ),
inference(nnf_transformation,[],[f18]) ).
fof(f149,plain,
( ( e0 != op(e4,e0)
& e0 != op(e4,e1)
& e0 != op(e4,e2)
& e0 != op(e4,e3)
& e0 != op(e4,e4) )
| ~ sP10 ),
inference(nnf_transformation,[],[f17]) ).
fof(f150,plain,
( ( e0 != op(e0,e4)
& e0 != op(e1,e4)
& e0 != op(e2,e4)
& e0 != op(e3,e4)
& e0 != op(e4,e4) )
| ~ sP9 ),
inference(nnf_transformation,[],[f16]) ).
fof(f151,plain,
( ( e1 != op(e4,e0)
& e1 != op(e4,e1)
& e1 != op(e4,e2)
& e1 != op(e4,e3)
& e1 != op(e4,e4) )
| ~ sP8 ),
inference(nnf_transformation,[],[f15]) ).
fof(f152,plain,
( ( e1 != op(e0,e4)
& e1 != op(e1,e4)
& e1 != op(e2,e4)
& e1 != op(e3,e4)
& e1 != op(e4,e4) )
| ~ sP7 ),
inference(nnf_transformation,[],[f14]) ).
fof(f153,plain,
( ( e2 != op(e4,e0)
& e2 != op(e4,e1)
& e2 != op(e4,e2)
& e2 != op(e4,e3)
& e2 != op(e4,e4) )
| ~ sP6 ),
inference(nnf_transformation,[],[f13]) ).
fof(f154,plain,
( ( e2 != op(e0,e4)
& e2 != op(e1,e4)
& e2 != op(e2,e4)
& e2 != op(e3,e4)
& e2 != op(e4,e4) )
| ~ sP5 ),
inference(nnf_transformation,[],[f12]) ).
fof(f155,plain,
( ( e3 != op(e4,e0)
& e3 != op(e4,e1)
& e3 != op(e4,e2)
& e3 != op(e4,e3)
& e3 != op(e4,e4) )
| ~ sP4 ),
inference(nnf_transformation,[],[f11]) ).
fof(f156,plain,
( ( e3 != op(e0,e4)
& e3 != op(e1,e4)
& e3 != op(e2,e4)
& e3 != op(e3,e4)
& e3 != op(e4,e4) )
| ~ sP3 ),
inference(nnf_transformation,[],[f10]) ).
fof(f157,plain,
( ( e4 != op(e4,e0)
& e4 != op(e4,e1)
& e4 != op(e4,e2)
& e4 != op(e4,e3)
& e4 != op(e4,e4) )
| ~ sP2 ),
inference(nnf_transformation,[],[f9]) ).
fof(f158,plain,
( ( e4 != op(e0,e4)
& e4 != op(e1,e4)
& e4 != op(e2,e4)
& e4 != op(e3,e4)
& e4 != op(e4,e4) )
| ~ sP1 ),
inference(nnf_transformation,[],[f8]) ).
fof(f159,plain,
( ( ( op(e0,e0) = op(e0,e0)
| e0 != op(op(e0,e0),e0)
| e0 = op(op(e0,e0),e0) )
& ( op(e0,e1) = op(e1,e0)
| e0 != op(op(e0,e1),e1)
| e1 = op(op(e0,e1),e0) )
& ( op(e0,e2) = op(e2,e0)
| e0 != op(op(e0,e2),e2)
| e2 = op(op(e0,e2),e0) )
& ( op(e0,e3) = op(e3,e0)
| e0 != op(op(e0,e3),e3)
| e3 = op(op(e0,e3),e0) )
& ( op(e0,e4) = op(e4,e0)
| e0 != op(op(e0,e4),e4)
| e4 = op(op(e0,e4),e0) )
& ( op(e0,e1) = op(e1,e0)
| e1 != op(op(e1,e0),e0)
| e0 = op(op(e1,e0),e1) )
& ( op(e1,e1) = op(e1,e1)
| e1 != op(op(e1,e1),e1)
| e1 = op(op(e1,e1),e1) )
& ( op(e1,e2) = op(e2,e1)
| e1 != op(op(e1,e2),e2)
| e2 = op(op(e1,e2),e1) )
& ( op(e1,e3) = op(e3,e1)
| e1 != op(op(e1,e3),e3)
| e3 = op(op(e1,e3),e1) )
& ( op(e1,e4) = op(e4,e1)
| e1 != op(op(e1,e4),e4)
| e4 = op(op(e1,e4),e1) )
& ( op(e0,e2) = op(e2,e0)
| e2 != op(op(e2,e0),e0)
| e0 = op(op(e2,e0),e2) )
& ( op(e1,e2) = op(e2,e1)
| e2 != op(op(e2,e1),e1)
| e1 = op(op(e2,e1),e2) )
& ( op(e2,e2) = op(e2,e2)
| e2 != op(op(e2,e2),e2)
| e2 = op(op(e2,e2),e2) )
& ( op(e2,e3) = op(e3,e2)
| e2 != op(op(e2,e3),e3)
| e3 = op(op(e2,e3),e2) )
& ( op(e2,e4) = op(e4,e2)
| e2 != op(op(e2,e4),e4)
| e4 = op(op(e2,e4),e2) )
& ( op(e0,e3) = op(e3,e0)
| e3 != op(op(e3,e0),e0)
| e0 = op(op(e3,e0),e3) )
& ( op(e1,e3) = op(e3,e1)
| e3 != op(op(e3,e1),e1)
| e1 = op(op(e3,e1),e3) )
& ( op(e2,e3) = op(e3,e2)
| e3 != op(op(e3,e2),e2)
| e2 = op(op(e3,e2),e3) )
& ( op(e3,e3) = op(e3,e3)
| e3 != op(op(e3,e3),e3)
| e3 = op(op(e3,e3),e3) )
& ( op(e3,e4) = op(e4,e3)
| e3 != op(op(e3,e4),e4)
| e4 = op(op(e3,e4),e3) )
& ( op(e0,e4) = op(e4,e0)
| e4 != op(op(e4,e0),e0)
| e0 = op(op(e4,e0),e4) )
& ( op(e1,e4) = op(e4,e1)
| e4 != op(op(e4,e1),e1)
| e1 = op(op(e4,e1),e4) )
& ( op(e2,e4) = op(e4,e2)
| e4 != op(op(e4,e2),e2)
| e2 = op(op(e4,e2),e4) )
& ( op(e3,e4) = op(e4,e3)
| e4 != op(op(e4,e3),e3)
| e3 = op(op(e4,e3),e4) )
& ( op(e4,e4) = op(e4,e4)
| e4 != op(op(e4,e4),e4)
| e4 = op(op(e4,e4),e4) ) )
| ~ sP0 ),
inference(nnf_transformation,[],[f7]) ).
fof(f165,plain,
e1 != e2,
inference(cnf_transformation,[],[f1]) ).
fof(f166,plain,
e0 != e4,
inference(cnf_transformation,[],[f1]) ).
fof(f170,plain,
e0 = op(e4,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f171,plain,
e2 = op(e4,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f172,plain,
e1 = op(e4,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f173,plain,
e3 = op(e4,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f174,plain,
e4 = op(e4,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f175,plain,
e2 = op(e3,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f176,plain,
e1 = op(e3,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f177,plain,
e0 = op(e3,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f178,plain,
e4 = op(e3,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f179,plain,
e3 = op(e3,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f180,plain,
e1 = op(e2,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f181,plain,
e4 = op(e2,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f182,plain,
e3 = op(e2,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f183,plain,
e0 = op(e2,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f184,plain,
e2 = op(e2,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f185,plain,
e3 = op(e1,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f186,plain,
e0 = op(e1,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f187,plain,
e4 = op(e1,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f188,plain,
e2 = op(e1,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f189,plain,
e1 = op(e1,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f190,plain,
e4 = op(e0,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f191,plain,
e3 = op(e0,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f192,plain,
e2 = op(e0,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f193,plain,
e1 = op(e0,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f194,plain,
e0 = op(e0,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f195,plain,
e0 = unit,
inference(cnf_transformation,[],[f3]) ).
fof(f199,plain,
( e1 != op(e0,e1)
| ~ sP75 ),
inference(cnf_transformation,[],[f84]) ).
fof(f203,plain,
( e2 != op(e0,e2)
| ~ sP74 ),
inference(cnf_transformation,[],[f85]) ).
fof(f207,plain,
( e3 != op(e0,e3)
| ~ sP73 ),
inference(cnf_transformation,[],[f86]) ).
fof(f211,plain,
( e4 != op(e0,e4)
| ~ sP72 ),
inference(cnf_transformation,[],[f87]) ).
fof(f219,plain,
( e1 != op(e1,e0)
| ~ sP71 ),
inference(cnf_transformation,[],[f88]) ).
fof(f223,plain,
( e2 != op(e1,e1)
| ~ sP70 ),
inference(cnf_transformation,[],[f89]) ).
fof(f226,plain,
( e4 != op(e1,e2)
| ~ sP69 ),
inference(cnf_transformation,[],[f90]) ).
fof(f235,plain,
( e0 != op(e1,e3)
| ~ sP68 ),
inference(cnf_transformation,[],[f91]) ).
fof(f237,plain,
( e3 != op(e1,e4)
| ~ sP67 ),
inference(cnf_transformation,[],[f92]) ).
fof(f243,plain,
( e2 != op(e2,e0)
| ~ sP66 ),
inference(cnf_transformation,[],[f93]) ).
fof(f250,plain,
( e0 != op(e2,e1)
| ~ sP65 ),
inference(cnf_transformation,[],[f94]) ).
fof(f252,plain,
( e3 != op(e2,e2)
| ~ sP64 ),
inference(cnf_transformation,[],[f95]) ).
fof(f256,plain,
( e4 != op(e2,e3)
| ~ sP63 ),
inference(cnf_transformation,[],[f96]) ).
fof(f264,plain,
( e1 != op(e2,e4)
| ~ sP62 ),
inference(cnf_transformation,[],[f97]) ).
fof(f267,plain,
( e3 != op(e3,e0)
| ~ sP61 ),
inference(cnf_transformation,[],[f98]) ).
fof(f271,plain,
( e4 != op(e3,e1)
| ~ sP60 ),
inference(cnf_transformation,[],[f99]) ).
fof(f280,plain,
( e0 != op(e3,e2)
| ~ sP59 ),
inference(cnf_transformation,[],[f100]) ).
fof(f284,plain,
( e1 != op(e3,e3)
| ~ sP58 ),
inference(cnf_transformation,[],[f101]) ).
fof(f288,plain,
( e2 != op(e3,e4)
| ~ sP57 ),
inference(cnf_transformation,[],[f102]) ).
fof(f291,plain,
( e4 != op(e4,e0)
| ~ sP56 ),
inference(cnf_transformation,[],[f103]) ).
fof(f297,plain,
( e3 != op(e4,e1)
| ~ sP55 ),
inference(cnf_transformation,[],[f104]) ).
fof(f304,plain,
( e1 != op(e4,e2)
| ~ sP54 ),
inference(cnf_transformation,[],[f105]) ).
fof(f308,plain,
( e2 != op(e4,e3)
| ~ sP53 ),
inference(cnf_transformation,[],[f106]) ).
fof(f315,plain,
( e0 != op(e4,e4)
| ~ sP52 ),
inference(cnf_transformation,[],[f107]) ).
fof(f320,plain,
( e0 != unit
| ~ sP51 ),
inference(cnf_transformation,[],[f108]) ).
fof(f325,plain,
( e0 != op(e0,e0)
| ~ sP50 ),
inference(cnf_transformation,[],[f109]) ).
fof(f330,plain,
( e0 != op(e0,e0)
| ~ sP49 ),
inference(cnf_transformation,[],[f110]) ).
fof(f334,plain,
( e1 != op(e0,e1)
| ~ sP48 ),
inference(cnf_transformation,[],[f111]) ).
fof(f339,plain,
( e1 != op(e1,e0)
| ~ sP47 ),
inference(cnf_transformation,[],[f112]) ).
fof(f343,plain,
( e2 != op(e0,e2)
| ~ sP46 ),
inference(cnf_transformation,[],[f113]) ).
fof(f348,plain,
( e2 != op(e2,e0)
| ~ sP45 ),
inference(cnf_transformation,[],[f114]) ).
fof(f352,plain,
( e3 != op(e0,e3)
| ~ sP44 ),
inference(cnf_transformation,[],[f115]) ).
fof(f357,plain,
( e3 != op(e3,e0)
| ~ sP43 ),
inference(cnf_transformation,[],[f116]) ).
fof(f361,plain,
( e4 != op(e0,e4)
| ~ sP42 ),
inference(cnf_transformation,[],[f117]) ).
fof(f366,plain,
( e4 != op(e4,e0)
| ~ sP41 ),
inference(cnf_transformation,[],[f118]) ).
fof(f372,plain,
( e0 != op(e1,e3)
| ~ sP40 ),
inference(cnf_transformation,[],[f119]) ).
fof(f378,plain,
( e0 != op(e2,e1)
| ~ sP39 ),
inference(cnf_transformation,[],[f120]) ).
fof(f385,plain,
( e1 != op(e1,e0)
| ~ sP38 ),
inference(cnf_transformation,[],[f121]) ).
fof(f390,plain,
( e1 != op(e0,e1)
| ~ sP37 ),
inference(cnf_transformation,[],[f122]) ).
fof(f394,plain,
( e2 != op(e1,e1)
| ~ sP36 ),
inference(cnf_transformation,[],[f123]) ).
fof(f399,plain,
( e2 != op(e1,e1)
| ~ sP35 ),
inference(cnf_transformation,[],[f124]) ).
fof(f401,plain,
( e3 != op(e1,e4)
| ~ sP34 ),
inference(cnf_transformation,[],[f125]) ).
fof(f406,plain,
( e3 != op(e4,e1)
| ~ sP33 ),
inference(cnf_transformation,[],[f126]) ).
fof(f413,plain,
( e4 != op(e1,e2)
| ~ sP32 ),
inference(cnf_transformation,[],[f127]) ).
fof(f417,plain,
( e4 != op(e3,e1)
| ~ sP31 ),
inference(cnf_transformation,[],[f128]) ).
fof(f424,plain,
( e0 != op(e2,e1)
| ~ sP30 ),
inference(cnf_transformation,[],[f129]) ).
fof(f427,plain,
( e0 != op(e3,e2)
| ~ sP29 ),
inference(cnf_transformation,[],[f130]) ).
fof(f431,plain,
( e1 != op(e2,e4)
| ~ sP28 ),
inference(cnf_transformation,[],[f131]) ).
fof(f436,plain,
( e1 != op(e4,e2)
| ~ sP27 ),
inference(cnf_transformation,[],[f132]) ).
fof(f445,plain,
( e2 != op(e2,e0)
| ~ sP26 ),
inference(cnf_transformation,[],[f133]) ).
fof(f450,plain,
( e2 != op(e0,e2)
| ~ sP25 ),
inference(cnf_transformation,[],[f134]) ).
fof(f453,plain,
( e3 != op(e2,e2)
| ~ sP24 ),
inference(cnf_transformation,[],[f135]) ).
fof(f458,plain,
( e3 != op(e2,e2)
| ~ sP23 ),
inference(cnf_transformation,[],[f136]) ).
fof(f462,plain,
( e4 != op(e2,e3)
| ~ sP22 ),
inference(cnf_transformation,[],[f137]) ).
fof(f469,plain,
( e4 != op(e1,e2)
| ~ sP21 ),
inference(cnf_transformation,[],[f138]) ).
fof(f473,plain,
( e0 != op(e3,e2)
| ~ sP20 ),
inference(cnf_transformation,[],[f139]) ).
fof(f479,plain,
( e0 != op(e1,e3)
| ~ sP19 ),
inference(cnf_transformation,[],[f140]) ).
fof(f482,plain,
( e1 != op(e3,e3)
| ~ sP18 ),
inference(cnf_transformation,[],[f141]) ).
fof(f487,plain,
( e1 != op(e3,e3)
| ~ sP17 ),
inference(cnf_transformation,[],[f142]) ).
fof(f491,plain,
( e2 != op(e3,e4)
| ~ sP16 ),
inference(cnf_transformation,[],[f143]) ).
fof(f496,plain,
( e2 != op(e4,e3)
| ~ sP15 ),
inference(cnf_transformation,[],[f144]) ).
fof(f505,plain,
( e3 != op(e3,e0)
| ~ sP14 ),
inference(cnf_transformation,[],[f145]) ).
fof(f510,plain,
( e3 != op(e0,e3)
| ~ sP13 ),
inference(cnf_transformation,[],[f146]) ).
fof(f514,plain,
( e4 != op(e3,e1)
| ~ sP12 ),
inference(cnf_transformation,[],[f147]) ).
fof(f518,plain,
( e4 != op(e2,e3)
| ~ sP11 ),
inference(cnf_transformation,[],[f148]) ).
fof(f521,plain,
( e0 != op(e4,e4)
| ~ sP10 ),
inference(cnf_transformation,[],[f149]) ).
fof(f526,plain,
( e0 != op(e4,e4)
| ~ sP9 ),
inference(cnf_transformation,[],[f150]) ).
fof(f533,plain,
( e1 != op(e4,e2)
| ~ sP8 ),
inference(cnf_transformation,[],[f151]) ).
fof(f538,plain,
( e1 != op(e2,e4)
| ~ sP7 ),
inference(cnf_transformation,[],[f152]) ).
fof(f542,plain,
( e2 != op(e4,e3)
| ~ sP6 ),
inference(cnf_transformation,[],[f153]) ).
fof(f547,plain,
( e2 != op(e3,e4)
| ~ sP5 ),
inference(cnf_transformation,[],[f154]) ).
fof(f554,plain,
( e3 != op(e4,e1)
| ~ sP4 ),
inference(cnf_transformation,[],[f155]) ).
fof(f559,plain,
( e3 != op(e1,e4)
| ~ sP3 ),
inference(cnf_transformation,[],[f156]) ).
fof(f565,plain,
( e4 != op(e4,e0)
| ~ sP2 ),
inference(cnf_transformation,[],[f157]) ).
fof(f570,plain,
( e4 != op(e0,e4)
| ~ sP1 ),
inference(cnf_transformation,[],[f158]) ).
fof(f579,plain,
( op(e1,e3) = op(e3,e1)
| e3 != op(op(e3,e1),e1)
| e1 = op(op(e3,e1),e3)
| ~ sP0 ),
inference(cnf_transformation,[],[f159]) ).
fof(f600,plain,
( sP0
| e0 != op(e0,e0)
| sP75
| sP74
| sP73
| sP72
| sP71
| sP70
| sP69
| sP68
| sP67
| sP66
| sP65
| sP64
| sP63
| sP62
| sP61
| sP60
| sP59
| sP58
| sP57
| sP56
| sP55
| sP54
| sP53
| sP52
| 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)
| sP51
| sP50
| sP49
| sP48
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1 ),
inference(cnf_transformation,[],[f83]) ).
fof(f604,plain,
e4 != unit,
inference(definition_unfolding,[],[f166,f195]) ).
fof(f605,plain,
unit = op(unit,unit),
inference(definition_unfolding,[],[f194,f195,f195,f195]) ).
fof(f606,plain,
e1 = op(unit,e1),
inference(definition_unfolding,[],[f193,f195]) ).
fof(f607,plain,
e2 = op(unit,e2),
inference(definition_unfolding,[],[f192,f195]) ).
fof(f608,plain,
e3 = op(unit,e3),
inference(definition_unfolding,[],[f191,f195]) ).
fof(f609,plain,
e4 = op(unit,e4),
inference(definition_unfolding,[],[f190,f195]) ).
fof(f610,plain,
e1 = op(e1,unit),
inference(definition_unfolding,[],[f189,f195]) ).
fof(f611,plain,
op(e1,e3) = unit,
inference(definition_unfolding,[],[f186,f195]) ).
fof(f612,plain,
e2 = op(e2,unit),
inference(definition_unfolding,[],[f184,f195]) ).
fof(f613,plain,
op(e2,e1) = unit,
inference(definition_unfolding,[],[f183,f195]) ).
fof(f614,plain,
e3 = op(e3,unit),
inference(definition_unfolding,[],[f179,f195]) ).
fof(f615,plain,
op(e3,e2) = unit,
inference(definition_unfolding,[],[f177,f195]) ).
fof(f616,plain,
e4 = op(e4,unit),
inference(definition_unfolding,[],[f174,f195]) ).
fof(f617,plain,
op(e4,e4) = unit,
inference(definition_unfolding,[],[f170,f195]) ).
fof(f619,plain,
( e1 != op(unit,e1)
| ~ sP75 ),
inference(definition_unfolding,[],[f199,f195]) ).
fof(f625,plain,
( e2 != op(unit,e2)
| ~ sP74 ),
inference(definition_unfolding,[],[f203,f195]) ).
fof(f631,plain,
( e3 != op(unit,e3)
| ~ sP73 ),
inference(definition_unfolding,[],[f207,f195]) ).
fof(f637,plain,
( e4 != op(unit,e4)
| ~ sP72 ),
inference(definition_unfolding,[],[f211,f195]) ).
fof(f639,plain,
( e1 != op(e1,unit)
| ~ sP71 ),
inference(definition_unfolding,[],[f219,f195]) ).
fof(f645,plain,
( op(e1,e3) != unit
| ~ sP68 ),
inference(definition_unfolding,[],[f235,f195]) ).
fof(f649,plain,
( e2 != op(e2,unit)
| ~ sP66 ),
inference(definition_unfolding,[],[f243,f195]) ).
fof(f652,plain,
( op(e2,e1) != unit
| ~ sP65 ),
inference(definition_unfolding,[],[f250,f195]) ).
fof(f659,plain,
( e3 != op(e3,unit)
| ~ sP61 ),
inference(definition_unfolding,[],[f267,f195]) ).
fof(f662,plain,
( op(e3,e2) != unit
| ~ sP59 ),
inference(definition_unfolding,[],[f280,f195]) ).
fof(f669,plain,
( e4 != op(e4,unit)
| ~ sP56 ),
inference(definition_unfolding,[],[f291,f195]) ).
fof(f673,plain,
( op(e4,e4) != unit
| ~ sP52 ),
inference(definition_unfolding,[],[f315,f195]) ).
fof(f674,plain,
( unit != unit
| ~ sP51 ),
inference(definition_unfolding,[],[f320,f195]) ).
fof(f675,plain,
( unit != op(unit,unit)
| ~ sP50 ),
inference(definition_unfolding,[],[f325,f195,f195,f195]) ).
fof(f680,plain,
( unit != op(unit,unit)
| ~ sP49 ),
inference(definition_unfolding,[],[f330,f195,f195,f195]) ).
fof(f686,plain,
( e1 != op(unit,e1)
| ~ sP48 ),
inference(definition_unfolding,[],[f334,f195]) ).
fof(f691,plain,
( e1 != op(e1,unit)
| ~ sP47 ),
inference(definition_unfolding,[],[f339,f195]) ).
fof(f697,plain,
( e2 != op(unit,e2)
| ~ sP46 ),
inference(definition_unfolding,[],[f343,f195]) ).
fof(f702,plain,
( e2 != op(e2,unit)
| ~ sP45 ),
inference(definition_unfolding,[],[f348,f195]) ).
fof(f708,plain,
( e3 != op(unit,e3)
| ~ sP44 ),
inference(definition_unfolding,[],[f352,f195]) ).
fof(f713,plain,
( e3 != op(e3,unit)
| ~ sP43 ),
inference(definition_unfolding,[],[f357,f195]) ).
fof(f719,plain,
( e4 != op(unit,e4)
| ~ sP42 ),
inference(definition_unfolding,[],[f361,f195]) ).
fof(f724,plain,
( e4 != op(e4,unit)
| ~ sP41 ),
inference(definition_unfolding,[],[f366,f195]) ).
fof(f728,plain,
( op(e1,e3) != unit
| ~ sP40 ),
inference(definition_unfolding,[],[f372,f195]) ).
fof(f732,plain,
( op(e2,e1) != unit
| ~ sP39 ),
inference(definition_unfolding,[],[f378,f195]) ).
fof(f735,plain,
( e1 != op(e1,unit)
| ~ sP38 ),
inference(definition_unfolding,[],[f385,f195]) ).
fof(f736,plain,
( e1 != op(unit,e1)
| ~ sP37 ),
inference(definition_unfolding,[],[f390,f195]) ).
fof(f744,plain,
( op(e2,e1) != unit
| ~ sP30 ),
inference(definition_unfolding,[],[f424,f195]) ).
fof(f751,plain,
( op(e3,e2) != unit
| ~ sP29 ),
inference(definition_unfolding,[],[f427,f195]) ).
fof(f755,plain,
( e2 != op(e2,unit)
| ~ sP26 ),
inference(definition_unfolding,[],[f445,f195]) ).
fof(f756,plain,
( e2 != op(unit,e2)
| ~ sP25 ),
inference(definition_unfolding,[],[f450,f195]) ).
fof(f763,plain,
( op(e3,e2) != unit
| ~ sP20 ),
inference(definition_unfolding,[],[f473,f195]) ).
fof(f767,plain,
( op(e1,e3) != unit
| ~ sP19 ),
inference(definition_unfolding,[],[f479,f195]) ).
fof(f775,plain,
( e3 != op(e3,unit)
| ~ sP14 ),
inference(definition_unfolding,[],[f505,f195]) ).
fof(f776,plain,
( e3 != op(unit,e3)
| ~ sP13 ),
inference(definition_unfolding,[],[f510,f195]) ).
fof(f783,plain,
( op(e4,e4) != unit
| ~ sP10 ),
inference(definition_unfolding,[],[f521,f195]) ).
fof(f788,plain,
( op(e4,e4) != unit
| ~ sP9 ),
inference(definition_unfolding,[],[f526,f195]) ).
fof(f795,plain,
( e4 != op(e4,unit)
| ~ sP2 ),
inference(definition_unfolding,[],[f565,f195]) ).
fof(f796,plain,
( e4 != op(unit,e4)
| ~ sP1 ),
inference(definition_unfolding,[],[f570,f195]) ).
fof(f806,plain,
( sP0
| unit != op(unit,unit)
| sP75
| sP74
| sP73
| sP72
| sP71
| sP70
| sP69
| sP68
| sP67
| sP66
| sP65
| sP64
| sP63
| sP62
| sP61
| sP60
| sP59
| sP58
| sP57
| sP56
| sP55
| sP54
| sP53
| sP52
| unit != op(unit,unit)
| unit != op(unit,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)
| sP51
| sP50
| sP49
| sP48
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1 ),
inference(definition_unfolding,[],[f600,f195,f195,f195,f195,f195,f195,f195]) ).
fof(f815,plain,
( sP0
| unit != op(unit,unit)
| sP75
| sP74
| sP73
| sP72
| sP71
| sP70
| sP69
| sP68
| sP67
| sP66
| sP65
| sP64
| sP63
| sP62
| sP61
| sP60
| sP59
| sP58
| sP57
| sP56
| sP55
| sP54
| sP53
| sP52
| 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)
| sP51
| sP50
| sP49
| sP48
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1 ),
inference(duplicate_literal_removal,[],[f806]) ).
fof(f816,plain,
~ sP51,
inference(trivial_inequality_removal,[],[f674]) ).
fof(f818,definition,
( spl76_1
<=> sP1 ),
introduced(definition,[new_symbols(definition,[spl76_1])],[avatar_definition]) ).
fof(f822,definition,
( spl76_2
<=> sP2 ),
introduced(definition,[new_symbols(definition,[spl76_2])],[avatar_definition]) ).
fof(f826,definition,
( spl76_3
<=> sP3 ),
introduced(definition,[new_symbols(definition,[spl76_3])],[avatar_definition]) ).
fof(f830,definition,
( spl76_4
<=> sP4 ),
introduced(definition,[new_symbols(definition,[spl76_4])],[avatar_definition]) ).
fof(f834,definition,
( spl76_5
<=> sP5 ),
introduced(definition,[new_symbols(definition,[spl76_5])],[avatar_definition]) ).
fof(f838,definition,
( spl76_6
<=> sP6 ),
introduced(definition,[new_symbols(definition,[spl76_6])],[avatar_definition]) ).
fof(f842,definition,
( spl76_7
<=> sP7 ),
introduced(definition,[new_symbols(definition,[spl76_7])],[avatar_definition]) ).
fof(f846,definition,
( spl76_8
<=> sP8 ),
introduced(definition,[new_symbols(definition,[spl76_8])],[avatar_definition]) ).
fof(f850,definition,
( spl76_9
<=> sP9 ),
introduced(definition,[new_symbols(definition,[spl76_9])],[avatar_definition]) ).
fof(f854,definition,
( spl76_10
<=> sP10 ),
introduced(definition,[new_symbols(definition,[spl76_10])],[avatar_definition]) ).
fof(f858,definition,
( spl76_11
<=> sP11 ),
introduced(definition,[new_symbols(definition,[spl76_11])],[avatar_definition]) ).
fof(f862,definition,
( spl76_12
<=> sP12 ),
introduced(definition,[new_symbols(definition,[spl76_12])],[avatar_definition]) ).
fof(f866,definition,
( spl76_13
<=> sP13 ),
introduced(definition,[new_symbols(definition,[spl76_13])],[avatar_definition]) ).
fof(f870,definition,
( spl76_14
<=> sP14 ),
introduced(definition,[new_symbols(definition,[spl76_14])],[avatar_definition]) ).
fof(f874,definition,
( spl76_15
<=> sP15 ),
introduced(definition,[new_symbols(definition,[spl76_15])],[avatar_definition]) ).
fof(f878,definition,
( spl76_16
<=> sP16 ),
introduced(definition,[new_symbols(definition,[spl76_16])],[avatar_definition]) ).
fof(f882,definition,
( spl76_17
<=> sP17 ),
introduced(definition,[new_symbols(definition,[spl76_17])],[avatar_definition]) ).
fof(f886,definition,
( spl76_18
<=> sP18 ),
introduced(definition,[new_symbols(definition,[spl76_18])],[avatar_definition]) ).
fof(f890,definition,
( spl76_19
<=> sP19 ),
introduced(definition,[new_symbols(definition,[spl76_19])],[avatar_definition]) ).
fof(f894,definition,
( spl76_20
<=> sP20 ),
introduced(definition,[new_symbols(definition,[spl76_20])],[avatar_definition]) ).
fof(f898,definition,
( spl76_21
<=> sP21 ),
introduced(definition,[new_symbols(definition,[spl76_21])],[avatar_definition]) ).
fof(f902,definition,
( spl76_22
<=> sP22 ),
introduced(definition,[new_symbols(definition,[spl76_22])],[avatar_definition]) ).
fof(f906,definition,
( spl76_23
<=> sP23 ),
introduced(definition,[new_symbols(definition,[spl76_23])],[avatar_definition]) ).
fof(f910,definition,
( spl76_24
<=> sP24 ),
introduced(definition,[new_symbols(definition,[spl76_24])],[avatar_definition]) ).
fof(f914,definition,
( spl76_25
<=> sP25 ),
introduced(definition,[new_symbols(definition,[spl76_25])],[avatar_definition]) ).
fof(f918,definition,
( spl76_26
<=> sP26 ),
introduced(definition,[new_symbols(definition,[spl76_26])],[avatar_definition]) ).
fof(f922,definition,
( spl76_27
<=> sP27 ),
introduced(definition,[new_symbols(definition,[spl76_27])],[avatar_definition]) ).
fof(f926,definition,
( spl76_28
<=> sP28 ),
introduced(definition,[new_symbols(definition,[spl76_28])],[avatar_definition]) ).
fof(f930,definition,
( spl76_29
<=> sP29 ),
introduced(definition,[new_symbols(definition,[spl76_29])],[avatar_definition]) ).
fof(f934,definition,
( spl76_30
<=> sP30 ),
introduced(definition,[new_symbols(definition,[spl76_30])],[avatar_definition]) ).
fof(f938,definition,
( spl76_31
<=> sP31 ),
introduced(definition,[new_symbols(definition,[spl76_31])],[avatar_definition]) ).
fof(f942,definition,
( spl76_32
<=> sP32 ),
introduced(definition,[new_symbols(definition,[spl76_32])],[avatar_definition]) ).
fof(f946,definition,
( spl76_33
<=> sP33 ),
introduced(definition,[new_symbols(definition,[spl76_33])],[avatar_definition]) ).
fof(f950,definition,
( spl76_34
<=> sP34 ),
introduced(definition,[new_symbols(definition,[spl76_34])],[avatar_definition]) ).
fof(f954,definition,
( spl76_35
<=> sP35 ),
introduced(definition,[new_symbols(definition,[spl76_35])],[avatar_definition]) ).
fof(f958,definition,
( spl76_36
<=> sP36 ),
introduced(definition,[new_symbols(definition,[spl76_36])],[avatar_definition]) ).
fof(f962,definition,
( spl76_37
<=> sP37 ),
introduced(definition,[new_symbols(definition,[spl76_37])],[avatar_definition]) ).
fof(f966,definition,
( spl76_38
<=> sP38 ),
introduced(definition,[new_symbols(definition,[spl76_38])],[avatar_definition]) ).
fof(f970,definition,
( spl76_39
<=> sP39 ),
introduced(definition,[new_symbols(definition,[spl76_39])],[avatar_definition]) ).
fof(f974,definition,
( spl76_40
<=> sP40 ),
introduced(definition,[new_symbols(definition,[spl76_40])],[avatar_definition]) ).
fof(f978,definition,
( spl76_41
<=> sP41 ),
introduced(definition,[new_symbols(definition,[spl76_41])],[avatar_definition]) ).
fof(f982,definition,
( spl76_42
<=> sP42 ),
introduced(definition,[new_symbols(definition,[spl76_42])],[avatar_definition]) ).
fof(f986,definition,
( spl76_43
<=> sP43 ),
introduced(definition,[new_symbols(definition,[spl76_43])],[avatar_definition]) ).
fof(f990,definition,
( spl76_44
<=> sP44 ),
introduced(definition,[new_symbols(definition,[spl76_44])],[avatar_definition]) ).
fof(f994,definition,
( spl76_45
<=> sP45 ),
introduced(definition,[new_symbols(definition,[spl76_45])],[avatar_definition]) ).
fof(f998,definition,
( spl76_46
<=> sP46 ),
introduced(definition,[new_symbols(definition,[spl76_46])],[avatar_definition]) ).
fof(f1002,definition,
( spl76_47
<=> sP47 ),
introduced(definition,[new_symbols(definition,[spl76_47])],[avatar_definition]) ).
fof(f1006,definition,
( spl76_48
<=> sP48 ),
introduced(definition,[new_symbols(definition,[spl76_48])],[avatar_definition]) ).
fof(f1010,definition,
( spl76_49
<=> sP49 ),
introduced(definition,[new_symbols(definition,[spl76_49])],[avatar_definition]) ).
fof(f1014,definition,
( spl76_50
<=> sP50 ),
introduced(definition,[new_symbols(definition,[spl76_50])],[avatar_definition]) ).
fof(f1018,definition,
( spl76_51
<=> sP51 ),
introduced(definition,[new_symbols(definition,[spl76_51])],[avatar_definition]) ).
fof(f1022,definition,
( spl76_52
<=> e4 = op(e4,unit) ),
introduced(definition,[new_symbols(definition,[spl76_52])],[avatar_definition]) ).
fof(f1026,definition,
( spl76_53
<=> e4 = op(unit,e4) ),
introduced(definition,[new_symbols(definition,[spl76_53])],[avatar_definition]) ).
fof(f1030,definition,
( spl76_54
<=> e3 = op(e3,unit) ),
introduced(definition,[new_symbols(definition,[spl76_54])],[avatar_definition]) ).
fof(f1034,definition,
( spl76_55
<=> e3 = op(unit,e3) ),
introduced(definition,[new_symbols(definition,[spl76_55])],[avatar_definition]) ).
fof(f1038,definition,
( spl76_56
<=> e2 = op(e2,unit) ),
introduced(definition,[new_symbols(definition,[spl76_56])],[avatar_definition]) ).
fof(f1042,definition,
( spl76_57
<=> e2 = op(unit,e2) ),
introduced(definition,[new_symbols(definition,[spl76_57])],[avatar_definition]) ).
fof(f1046,definition,
( spl76_58
<=> e1 = op(e1,unit) ),
introduced(definition,[new_symbols(definition,[spl76_58])],[avatar_definition]) ).
fof(f1050,definition,
( spl76_59
<=> e1 = op(unit,e1) ),
introduced(definition,[new_symbols(definition,[spl76_59])],[avatar_definition]) ).
fof(f1054,definition,
( spl76_60
<=> unit = op(unit,unit) ),
introduced(definition,[new_symbols(definition,[spl76_60])],[avatar_definition]) ).
fof(f1058,definition,
( spl76_61
<=> sP52 ),
introduced(definition,[new_symbols(definition,[spl76_61])],[avatar_definition]) ).
fof(f1062,definition,
( spl76_62
<=> sP53 ),
introduced(definition,[new_symbols(definition,[spl76_62])],[avatar_definition]) ).
fof(f1066,definition,
( spl76_63
<=> sP54 ),
introduced(definition,[new_symbols(definition,[spl76_63])],[avatar_definition]) ).
fof(f1070,definition,
( spl76_64
<=> sP55 ),
introduced(definition,[new_symbols(definition,[spl76_64])],[avatar_definition]) ).
fof(f1074,definition,
( spl76_65
<=> sP56 ),
introduced(definition,[new_symbols(definition,[spl76_65])],[avatar_definition]) ).
fof(f1078,definition,
( spl76_66
<=> sP57 ),
introduced(definition,[new_symbols(definition,[spl76_66])],[avatar_definition]) ).
fof(f1082,definition,
( spl76_67
<=> sP58 ),
introduced(definition,[new_symbols(definition,[spl76_67])],[avatar_definition]) ).
fof(f1086,definition,
( spl76_68
<=> sP59 ),
introduced(definition,[new_symbols(definition,[spl76_68])],[avatar_definition]) ).
fof(f1090,definition,
( spl76_69
<=> sP60 ),
introduced(definition,[new_symbols(definition,[spl76_69])],[avatar_definition]) ).
fof(f1094,definition,
( spl76_70
<=> sP61 ),
introduced(definition,[new_symbols(definition,[spl76_70])],[avatar_definition]) ).
fof(f1098,definition,
( spl76_71
<=> sP62 ),
introduced(definition,[new_symbols(definition,[spl76_71])],[avatar_definition]) ).
fof(f1102,definition,
( spl76_72
<=> sP63 ),
introduced(definition,[new_symbols(definition,[spl76_72])],[avatar_definition]) ).
fof(f1106,definition,
( spl76_73
<=> sP64 ),
introduced(definition,[new_symbols(definition,[spl76_73])],[avatar_definition]) ).
fof(f1110,definition,
( spl76_74
<=> sP65 ),
introduced(definition,[new_symbols(definition,[spl76_74])],[avatar_definition]) ).
fof(f1114,definition,
( spl76_75
<=> sP66 ),
introduced(definition,[new_symbols(definition,[spl76_75])],[avatar_definition]) ).
fof(f1118,definition,
( spl76_76
<=> sP67 ),
introduced(definition,[new_symbols(definition,[spl76_76])],[avatar_definition]) ).
fof(f1122,definition,
( spl76_77
<=> sP68 ),
introduced(definition,[new_symbols(definition,[spl76_77])],[avatar_definition]) ).
fof(f1126,definition,
( spl76_78
<=> sP69 ),
introduced(definition,[new_symbols(definition,[spl76_78])],[avatar_definition]) ).
fof(f1130,definition,
( spl76_79
<=> sP70 ),
introduced(definition,[new_symbols(definition,[spl76_79])],[avatar_definition]) ).
fof(f1134,definition,
( spl76_80
<=> sP71 ),
introduced(definition,[new_symbols(definition,[spl76_80])],[avatar_definition]) ).
fof(f1138,definition,
( spl76_81
<=> sP72 ),
introduced(definition,[new_symbols(definition,[spl76_81])],[avatar_definition]) ).
fof(f1142,definition,
( spl76_82
<=> sP73 ),
introduced(definition,[new_symbols(definition,[spl76_82])],[avatar_definition]) ).
fof(f1146,definition,
( spl76_83
<=> sP74 ),
introduced(definition,[new_symbols(definition,[spl76_83])],[avatar_definition]) ).
fof(f1150,definition,
( spl76_84
<=> sP75 ),
introduced(definition,[new_symbols(definition,[spl76_84])],[avatar_definition]) ).
fof(f1158,definition,
( spl76_86
<=> sP0 ),
introduced(definition,[new_symbols(definition,[spl76_86])],[avatar_definition]) ).
fof(f1177,plain,
( spl76_1
| spl76_2
| spl76_3
| spl76_4
| spl76_5
| spl76_6
| spl76_7
| spl76_8
| spl76_9
| spl76_10
| spl76_11
| spl76_12
| spl76_13
| spl76_14
| spl76_15
| spl76_16
| spl76_17
| spl76_18
| spl76_19
| spl76_20
| spl76_21
| spl76_22
| spl76_23
| spl76_24
| spl76_25
| spl76_26
| spl76_27
| spl76_28
| spl76_29
| spl76_30
| spl76_31
| spl76_32
| spl76_33
| spl76_34
| spl76_35
| spl76_36
| spl76_37
| spl76_38
| spl76_39
| spl76_40
| spl76_41
| spl76_42
| spl76_43
| spl76_44
| spl76_45
| spl76_46
| spl76_47
| spl76_48
| spl76_49
| spl76_50
| spl76_51
| ~ spl76_52
| ~ spl76_53
| ~ spl76_54
| ~ spl76_55
| ~ spl76_56
| ~ spl76_57
| ~ spl76_58
| ~ spl76_59
| spl76_61
| spl76_62
| spl76_63
| spl76_64
| spl76_65
| spl76_66
| spl76_67
| spl76_68
| spl76_69
| spl76_70
| spl76_71
| spl76_72
| spl76_73
| spl76_74
| spl76_75
| spl76_76
| spl76_77
| spl76_78
| spl76_79
| spl76_80
| spl76_81
| spl76_82
| spl76_83
| spl76_84
| ~ spl76_60
| spl76_86 ),
inference(avatar_split_clause,[],[f815,f1158,f1054,f1150,f1146,f1142,f1138,f1134,f1130,f1126,f1122,f1118,f1114,f1110,f1106,f1102,f1098,f1094,f1090,f1086,f1082,f1078,f1074,f1070,f1066,f1062,f1058,f1050,f1046,f1042,f1038,f1034,f1030,f1026,f1022,f1018,f1014,f1010,f1006,f1002,f998,f994,f990,f986,f982,f978,f974,f970,f966,f962,f958,f954,f950,f946,f942,f938,f934,f930,f926,f922,f918,f914,f910,f906,f902,f898,f894,f890,f886,f882,f878,f874,f870,f866,f862,f858,f854,f850,f846,f842,f838,f834,f830,f826,f822,f818]) ).
fof(f1253,definition,
( spl76_107
<=> e1 = op(op(e3,e1),e3) ),
introduced(definition,[new_symbols(definition,[spl76_107])],[avatar_definition]) ).
fof(f1255,plain,
( e1 = op(op(e3,e1),e3)
| ~ spl76_107 ),
inference(avatar_component_clause,[],[f1253]) ).
fof(f1257,definition,
( spl76_108
<=> e3 = op(op(e3,e1),e1) ),
introduced(definition,[new_symbols(definition,[spl76_108])],[avatar_definition]) ).
fof(f1259,plain,
( e3 != op(op(e3,e1),e1)
| spl76_108 ),
inference(avatar_component_clause,[],[f1257]) ).
fof(f1261,definition,
( spl76_109
<=> op(e1,e3) = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[spl76_109])],[avatar_definition]) ).
fof(f1263,plain,
( op(e1,e3) = op(e3,e1)
| ~ spl76_109 ),
inference(avatar_component_clause,[],[f1261]) ).
fof(f1264,plain,
( ~ spl76_86
| spl76_107
| ~ spl76_108
| spl76_109 ),
inference(avatar_split_clause,[],[f579,f1261,f1257,f1253,f1158]) ).
fof(f1418,plain,
( ~ spl76_1
| ~ spl76_53 ),
inference(avatar_split_clause,[],[f796,f1026,f818]) ).
fof(f1435,plain,
( ~ spl76_2
| ~ spl76_52 ),
inference(avatar_split_clause,[],[f795,f1022,f822]) ).
fof(f1452,definition,
( spl76_150
<=> e3 = op(e1,e4) ),
introduced(definition,[new_symbols(definition,[spl76_150])],[avatar_definition]) ).
fof(f1455,plain,
( ~ spl76_3
| ~ spl76_150 ),
inference(avatar_split_clause,[],[f559,f1452,f826]) ).
fof(f1473,definition,
( spl76_154
<=> e3 = op(e4,e1) ),
introduced(definition,[new_symbols(definition,[spl76_154])],[avatar_definition]) ).
fof(f1474,plain,
( e3 = op(e4,e1)
| ~ spl76_154 ),
inference(avatar_component_clause,[],[f1473]) ).
fof(f1476,plain,
( ~ spl76_4
| ~ spl76_154 ),
inference(avatar_split_clause,[],[f554,f1473,f830]) ).
fof(f1488,definition,
( spl76_157
<=> e2 = op(e3,e4) ),
introduced(definition,[new_symbols(definition,[spl76_157])],[avatar_definition]) ).
fof(f1491,plain,
( ~ spl76_5
| ~ spl76_157 ),
inference(avatar_split_clause,[],[f547,f1488,f834]) ).
fof(f1509,definition,
( spl76_161
<=> e2 = op(e4,e3) ),
introduced(definition,[new_symbols(definition,[spl76_161])],[avatar_definition]) ).
fof(f1510,plain,
( e2 = op(e4,e3)
| ~ spl76_161 ),
inference(avatar_component_clause,[],[f1509]) ).
fof(f1512,plain,
( ~ spl76_6
| ~ spl76_161 ),
inference(avatar_split_clause,[],[f542,f1509,f838]) ).
fof(f1539,definition,
( spl76_167
<=> e1 = op(e2,e4) ),
introduced(definition,[new_symbols(definition,[spl76_167])],[avatar_definition]) ).
fof(f1542,plain,
( ~ spl76_7
| ~ spl76_167 ),
inference(avatar_split_clause,[],[f538,f1539,f842]) ).
fof(f1555,definition,
( spl76_170
<=> e1 = op(e4,e3) ),
introduced(definition,[new_symbols(definition,[spl76_170])],[avatar_definition]) ).
fof(f1556,plain,
( e1 = op(e4,e3)
| ~ spl76_170 ),
inference(avatar_component_clause,[],[f1555]) ).
fof(f1560,definition,
( spl76_171
<=> e1 = op(e4,e2) ),
introduced(definition,[new_symbols(definition,[spl76_171])],[avatar_definition]) ).
fof(f1563,plain,
( ~ spl76_8
| ~ spl76_171 ),
inference(avatar_split_clause,[],[f533,f1560,f846]) ).
fof(f1575,definition,
( spl76_174
<=> op(e4,e4) = unit ),
introduced(definition,[new_symbols(definition,[spl76_174])],[avatar_definition]) ).
fof(f1578,plain,
( ~ spl76_9
| ~ spl76_174 ),
inference(avatar_split_clause,[],[f788,f1575,f850]) ).
fof(f1599,plain,
( ~ spl76_10
| ~ spl76_174 ),
inference(avatar_split_clause,[],[f783,f1575,f854]) ).
fof(f1627,definition,
( spl76_184
<=> e4 = op(e2,e3) ),
introduced(definition,[new_symbols(definition,[spl76_184])],[avatar_definition]) ).
fof(f1630,plain,
( ~ spl76_11
| ~ spl76_184 ),
inference(avatar_split_clause,[],[f518,f1627,f858]) ).
fof(f1632,definition,
( spl76_185
<=> e4 = op(e1,e3) ),
introduced(definition,[new_symbols(definition,[spl76_185])],[avatar_definition]) ).
fof(f1633,plain,
( e4 = op(e1,e3)
| ~ spl76_185 ),
inference(avatar_component_clause,[],[f1632]) ).
fof(f1649,definition,
( spl76_188
<=> e4 = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[spl76_188])],[avatar_definition]) ).
fof(f1650,plain,
( e4 = op(e3,e1)
| ~ spl76_188 ),
inference(avatar_component_clause,[],[f1649]) ).
fof(f1652,plain,
( ~ spl76_12
| ~ spl76_188 ),
inference(avatar_split_clause,[],[f514,f1649,f862]) ).
fof(f1674,plain,
( ~ spl76_13
| ~ spl76_55 ),
inference(avatar_split_clause,[],[f776,f1034,f866]) ).
fof(f1687,plain,
( ~ spl76_14
| ~ spl76_54 ),
inference(avatar_split_clause,[],[f775,f1030,f870]) ).
fof(f1688,plain,
( ~ spl76_15
| ~ spl76_161 ),
inference(avatar_split_clause,[],[f496,f1509,f874]) ).
fof(f1709,plain,
( ~ spl76_16
| ~ spl76_157 ),
inference(avatar_split_clause,[],[f491,f1488,f878]) ).
fof(f1728,definition,
( spl76_202
<=> e1 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl76_202])],[avatar_definition]) ).
fof(f1731,plain,
( ~ spl76_17
| ~ spl76_202 ),
inference(avatar_split_clause,[],[f487,f1728,f882]) ).
fof(f1748,plain,
( ~ spl76_18
| ~ spl76_202 ),
inference(avatar_split_clause,[],[f482,f1728,f886]) ).
fof(f1776,definition,
( spl76_211
<=> op(e1,e3) = unit ),
introduced(definition,[new_symbols(definition,[spl76_211])],[avatar_definition]) ).
fof(f1777,plain,
( op(e1,e3) = unit
| ~ spl76_211 ),
inference(avatar_component_clause,[],[f1776]) ).
fof(f1779,plain,
( ~ spl76_19
| ~ spl76_211 ),
inference(avatar_split_clause,[],[f767,f1776,f890]) ).
fof(f1788,definition,
( spl76_213
<=> op(e3,e2) = unit ),
introduced(definition,[new_symbols(definition,[spl76_213])],[avatar_definition]) ).
fof(f1791,plain,
( ~ spl76_20
| ~ spl76_213 ),
inference(avatar_split_clause,[],[f763,f1788,f894]) ).
fof(f1810,definition,
( spl76_217
<=> e4 = op(e1,e2) ),
introduced(definition,[new_symbols(definition,[spl76_217])],[avatar_definition]) ).
fof(f1813,plain,
( ~ spl76_21
| ~ spl76_217 ),
inference(avatar_split_clause,[],[f469,f1810,f898]) ).
fof(f1820,plain,
( ~ spl76_22
| ~ spl76_184 ),
inference(avatar_split_clause,[],[f462,f1627,f902]) ).
fof(f1835,definition,
( spl76_221
<=> e3 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl76_221])],[avatar_definition]) ).
fof(f1838,plain,
( ~ spl76_23
| ~ spl76_221 ),
inference(avatar_split_clause,[],[f458,f1835,f906]) ).
fof(f1851,plain,
( ~ spl76_24
| ~ spl76_221 ),
inference(avatar_split_clause,[],[f453,f1835,f910]) ).
fof(f1874,plain,
( ~ spl76_25
| ~ spl76_57 ),
inference(avatar_split_clause,[],[f756,f1042,f914]) ).
fof(f1883,plain,
( ~ spl76_26
| ~ spl76_56 ),
inference(avatar_split_clause,[],[f755,f1038,f918]) ).
fof(f1884,plain,
( ~ spl76_27
| ~ spl76_171 ),
inference(avatar_split_clause,[],[f436,f1560,f922]) ).
fof(f1901,plain,
( ~ spl76_28
| ~ spl76_167 ),
inference(avatar_split_clause,[],[f431,f1539,f926]) ).
fof(f1915,plain,
( ~ spl76_29
| ~ spl76_213 ),
inference(avatar_split_clause,[],[f751,f1788,f930]) ).
fof(f1935,definition,
( spl76_237
<=> op(e2,e1) = unit ),
introduced(definition,[new_symbols(definition,[spl76_237])],[avatar_definition]) ).
fof(f1938,plain,
( ~ spl76_30
| ~ spl76_237 ),
inference(avatar_split_clause,[],[f744,f1935,f934]) ).
fof(f1945,plain,
( ~ spl76_31
| ~ spl76_188 ),
inference(avatar_split_clause,[],[f417,f1649,f938]) ).
fof(f1959,plain,
( ~ spl76_32
| ~ spl76_217 ),
inference(avatar_split_clause,[],[f413,f1810,f942]) ).
fof(f1966,plain,
( ~ spl76_33
| ~ spl76_154 ),
inference(avatar_split_clause,[],[f406,f1473,f946]) ).
fof(f1979,plain,
( ~ spl76_34
| ~ spl76_150 ),
inference(avatar_split_clause,[],[f401,f1452,f950]) ).
fof(f1992,definition,
( spl76_245
<=> e2 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl76_245])],[avatar_definition]) ).
fof(f1995,plain,
( ~ spl76_35
| ~ spl76_245 ),
inference(avatar_split_clause,[],[f399,f1992,f954]) ).
fof(f2004,plain,
( ~ spl76_36
| ~ spl76_245 ),
inference(avatar_split_clause,[],[f394,f1992,f958]) ).
fof(f2018,plain,
( ~ spl76_37
| ~ spl76_59 ),
inference(avatar_split_clause,[],[f736,f1050,f962]) ).
fof(f2023,plain,
( ~ spl76_38
| ~ spl76_58 ),
inference(avatar_split_clause,[],[f735,f1046,f966]) ).
fof(f2026,plain,
( ~ spl76_39
| ~ spl76_237 ),
inference(avatar_split_clause,[],[f732,f1935,f970]) ).
fof(f2038,plain,
( ~ spl76_40
| ~ spl76_211 ),
inference(avatar_split_clause,[],[f728,f1776,f974]) ).
fof(f2046,plain,
( ~ spl76_41
| ~ spl76_52 ),
inference(avatar_split_clause,[],[f724,f1022,f978]) ).
fof(f2051,plain,
( ~ spl76_42
| ~ spl76_53 ),
inference(avatar_split_clause,[],[f719,f1026,f982]) ).
fof(f2057,plain,
( ~ spl76_43
| ~ spl76_54 ),
inference(avatar_split_clause,[],[f713,f1030,f986]) ).
fof(f2062,plain,
( ~ spl76_44
| ~ spl76_55 ),
inference(avatar_split_clause,[],[f708,f1034,f990]) ).
fof(f2068,plain,
( ~ spl76_45
| ~ spl76_56 ),
inference(avatar_split_clause,[],[f702,f1038,f994]) ).
fof(f2073,plain,
( ~ spl76_46
| ~ spl76_57 ),
inference(avatar_split_clause,[],[f697,f1042,f998]) ).
fof(f2079,plain,
( ~ spl76_47
| ~ spl76_58 ),
inference(avatar_split_clause,[],[f691,f1046,f1002]) ).
fof(f2084,plain,
( ~ spl76_48
| ~ spl76_59 ),
inference(avatar_split_clause,[],[f686,f1050,f1006]) ).
fof(f2090,plain,
( ~ spl76_49
| ~ spl76_60 ),
inference(avatar_split_clause,[],[f680,f1054,f1010]) ).
fof(f2095,plain,
( ~ spl76_50
| ~ spl76_60 ),
inference(avatar_split_clause,[],[f675,f1054,f1014]) ).
fof(f2097,definition,
( spl76_252
<=> e4 = unit ),
introduced(definition,[new_symbols(definition,[spl76_252])],[avatar_definition]) ).
fof(f2099,plain,
( e4 != unit
| spl76_252 ),
inference(avatar_component_clause,[],[f2097]) ).
fof(f2116,plain,
~ spl76_51,
inference(avatar_split_clause,[],[f816,f1018]) ).
fof(f2121,plain,
( ~ spl76_61
| ~ spl76_174 ),
inference(avatar_split_clause,[],[f673,f1575,f1058]) ).
fof(f2124,plain,
( ~ spl76_62
| ~ spl76_161 ),
inference(avatar_split_clause,[],[f308,f1509,f1062]) ).
fof(f2130,plain,
( ~ spl76_63
| ~ spl76_171 ),
inference(avatar_split_clause,[],[f304,f1560,f1066]) ).
fof(f2133,plain,
( ~ spl76_64
| ~ spl76_154 ),
inference(avatar_split_clause,[],[f297,f1473,f1070]) ).
fof(f2137,plain,
( ~ spl76_65
| ~ spl76_52 ),
inference(avatar_split_clause,[],[f669,f1022,f1074]) ).
fof(f2144,plain,
( ~ spl76_66
| ~ spl76_157 ),
inference(avatar_split_clause,[],[f288,f1488,f1078]) ).
fof(f2150,plain,
( ~ spl76_67
| ~ spl76_202 ),
inference(avatar_split_clause,[],[f284,f1728,f1082]) ).
fof(f2156,plain,
( ~ spl76_68
| ~ spl76_213 ),
inference(avatar_split_clause,[],[f662,f1788,f1086]) ).
fof(f2157,plain,
( ~ spl76_69
| ~ spl76_188 ),
inference(avatar_split_clause,[],[f271,f1649,f1090]) ).
fof(f2163,plain,
( ~ spl76_70
| ~ spl76_54 ),
inference(avatar_split_clause,[],[f659,f1030,f1094]) ).
fof(f2170,plain,
( ~ spl76_71
| ~ spl76_167 ),
inference(avatar_split_clause,[],[f264,f1539,f1098]) ).
fof(f2172,plain,
( ~ spl76_72
| ~ spl76_184 ),
inference(avatar_split_clause,[],[f256,f1627,f1102]) ).
fof(f2178,plain,
( ~ spl76_73
| ~ spl76_221 ),
inference(avatar_split_clause,[],[f252,f1835,f1106]) ).
fof(f2186,plain,
( ~ spl76_74
| ~ spl76_237 ),
inference(avatar_split_clause,[],[f652,f1935,f1110]) ).
fof(f2189,plain,
( ~ spl76_75
| ~ spl76_56 ),
inference(avatar_split_clause,[],[f649,f1038,f1114]) ).
fof(f2193,plain,
( ~ spl76_76
| ~ spl76_150 ),
inference(avatar_split_clause,[],[f237,f1452,f1118]) ).
fof(f2201,plain,
( ~ spl76_77
| ~ spl76_211 ),
inference(avatar_split_clause,[],[f645,f1776,f1122]) ).
fof(f2202,plain,
( ~ spl76_78
| ~ spl76_217 ),
inference(avatar_split_clause,[],[f226,f1810,f1126]) ).
fof(f2209,plain,
( ~ spl76_79
| ~ spl76_245 ),
inference(avatar_split_clause,[],[f223,f1992,f1130]) ).
fof(f2215,plain,
( ~ spl76_80
| ~ spl76_58 ),
inference(avatar_split_clause,[],[f639,f1046,f1134]) ).
fof(f2217,plain,
( ~ spl76_81
| ~ spl76_53 ),
inference(avatar_split_clause,[],[f637,f1026,f1138]) ).
fof(f2223,plain,
( ~ spl76_82
| ~ spl76_55 ),
inference(avatar_split_clause,[],[f631,f1034,f1142]) ).
fof(f2229,plain,
( ~ spl76_83
| ~ spl76_57 ),
inference(avatar_split_clause,[],[f625,f1042,f1146]) ).
fof(f2235,plain,
( ~ spl76_84
| ~ spl76_59 ),
inference(avatar_split_clause,[],[f619,f1050,f1150]) ).
fof(f2237,plain,
spl76_174,
inference(avatar_split_clause,[],[f617,f1575]) ).
fof(f2238,plain,
spl76_161,
inference(avatar_split_clause,[],[f171,f1509]) ).
fof(f2239,plain,
spl76_171,
inference(avatar_split_clause,[],[f172,f1560]) ).
fof(f2240,plain,
spl76_154,
inference(avatar_split_clause,[],[f173,f1473]) ).
fof(f2241,plain,
spl76_52,
inference(avatar_split_clause,[],[f616,f1022]) ).
fof(f2242,plain,
spl76_157,
inference(avatar_split_clause,[],[f175,f1488]) ).
fof(f2243,plain,
spl76_202,
inference(avatar_split_clause,[],[f176,f1728]) ).
fof(f2244,plain,
spl76_213,
inference(avatar_split_clause,[],[f615,f1788]) ).
fof(f2245,plain,
spl76_188,
inference(avatar_split_clause,[],[f178,f1649]) ).
fof(f2246,plain,
spl76_54,
inference(avatar_split_clause,[],[f614,f1030]) ).
fof(f2247,plain,
spl76_167,
inference(avatar_split_clause,[],[f180,f1539]) ).
fof(f2248,plain,
spl76_184,
inference(avatar_split_clause,[],[f181,f1627]) ).
fof(f2249,plain,
spl76_221,
inference(avatar_split_clause,[],[f182,f1835]) ).
fof(f2250,plain,
spl76_237,
inference(avatar_split_clause,[],[f613,f1935]) ).
fof(f2251,plain,
spl76_56,
inference(avatar_split_clause,[],[f612,f1038]) ).
fof(f2252,plain,
spl76_150,
inference(avatar_split_clause,[],[f185,f1452]) ).
fof(f2253,plain,
spl76_211,
inference(avatar_split_clause,[],[f611,f1776]) ).
fof(f2254,plain,
spl76_217,
inference(avatar_split_clause,[],[f187,f1810]) ).
fof(f2255,plain,
spl76_245,
inference(avatar_split_clause,[],[f188,f1992]) ).
fof(f2256,plain,
spl76_58,
inference(avatar_split_clause,[],[f610,f1046]) ).
fof(f2257,plain,
spl76_53,
inference(avatar_split_clause,[],[f609,f1026]) ).
fof(f2258,plain,
spl76_55,
inference(avatar_split_clause,[],[f608,f1034]) ).
fof(f2259,plain,
spl76_57,
inference(avatar_split_clause,[],[f607,f1042]) ).
fof(f2260,plain,
spl76_59,
inference(avatar_split_clause,[],[f606,f1050]) ).
fof(f2261,plain,
spl76_60,
inference(avatar_split_clause,[],[f605,f1054]) ).
fof(f2262,plain,
~ spl76_252,
inference(avatar_split_clause,[],[f604,f2097]) ).
fof(f2304,plain,
( e3 != op(e4,e1)
| spl76_108
| ~ spl76_188 ),
inference(forward_demodulation,[],[f1259,f1650]) ).
fof(f2305,plain,
( $false
| spl76_108
| ~ spl76_154
| ~ spl76_188 ),
inference(forward_subsumption_resolution,[],[f2304,f1474]) ).
fof(f2306,plain,
( spl76_108
| ~ spl76_154
| ~ spl76_188 ),
inference(avatar_contradiction_clause,[],[f2305]) ).
fof(f2307,plain,
( e1 = op(e4,e3)
| ~ spl76_107
| ~ spl76_188 ),
inference(forward_demodulation,[],[f1255,f1650]) ).
fof(f2309,plain,
( spl76_170
| ~ spl76_107
| ~ spl76_188 ),
inference(avatar_split_clause,[],[f2307,f1649,f1253,f1555]) ).
fof(f2311,plain,
( e4 = op(e1,e3)
| ~ spl76_109
| ~ spl76_188 ),
inference(forward_demodulation,[],[f1263,f1650]) ).
fof(f2313,plain,
( spl76_185
| ~ spl76_109
| ~ spl76_188 ),
inference(avatar_split_clause,[],[f2311,f1649,f1261,f1632]) ).
fof(f2317,plain,
( e1 = e2
| ~ spl76_161
| ~ spl76_170 ),
inference(superposition,[],[f1556,f1510]) ).
fof(f2321,plain,
( $false
| ~ spl76_161
| ~ spl76_170 ),
inference(forward_subsumption_resolution,[],[f2317,f165]) ).
fof(f2322,plain,
( ~ spl76_161
| ~ spl76_170 ),
inference(avatar_contradiction_clause,[],[f2321]) ).
fof(f2328,plain,
( e4 = unit
| ~ spl76_185
| ~ spl76_211 ),
inference(superposition,[],[f1633,f1777]) ).
fof(f2332,plain,
( $false
| ~ spl76_185
| ~ spl76_211
| spl76_252 ),
inference(forward_subsumption_resolution,[],[f2328,f2099]) ).
fof(f2333,plain,
( ~ spl76_185
| ~ spl76_211
| spl76_252 ),
inference(avatar_contradiction_clause,[],[f2332]) ).
cnf(s5,plain,
( spl76_1
| spl76_2
| spl76_3
| spl76_4
| spl76_5
| spl76_6
| spl76_7
| spl76_8
| spl76_9
| spl76_10
| spl76_11
| spl76_12
| spl76_13
| spl76_14
| spl76_15
| spl76_16
| spl76_17
| spl76_18
| spl76_19
| spl76_20
| spl76_21
| spl76_22
| spl76_23
| spl76_24
| spl76_25
| spl76_26
| spl76_27
| spl76_28
| spl76_29
| spl76_30
| spl76_31
| spl76_32
| spl76_33
| spl76_34
| spl76_35
| spl76_36
| spl76_37
| spl76_38
| spl76_39
| spl76_40
| spl76_41
| spl76_42
| spl76_43
| spl76_44
| spl76_45
| spl76_46
| spl76_47
| spl76_48
| spl76_49
| spl76_50
| spl76_51
| ~ spl76_52
| ~ spl76_53
| ~ spl76_54
| ~ spl76_55
| ~ spl76_56
| ~ spl76_57
| ~ spl76_58
| ~ spl76_59
| ~ spl76_60
| spl76_61
| spl76_62
| spl76_63
| spl76_64
| spl76_65
| spl76_66
| spl76_67
| spl76_68
| spl76_69
| spl76_70
| spl76_71
| spl76_72
| spl76_73
| spl76_74
| spl76_75
| spl76_76
| spl76_77
| spl76_78
| spl76_79
| spl76_80
| spl76_81
| spl76_82
| spl76_83
| spl76_84
| spl76_86 ),
inference(sat_conversion,[],[f1177]) ).
cnf(s12,plain,
( ~ spl76_86
| spl76_107
| ~ spl76_108
| spl76_109 ),
inference(sat_conversion,[],[f1264]) ).
cnf(s30,plain,
( ~ spl76_1
| ~ spl76_53 ),
inference(sat_conversion,[],[f1418]) ).
cnf(s35,plain,
( ~ spl76_2
| ~ spl76_52 ),
inference(sat_conversion,[],[f1435]) ).
cnf(s39,plain,
( ~ spl76_3
| ~ spl76_150 ),
inference(sat_conversion,[],[f1455]) ).
cnf(s44,plain,
( ~ spl76_4
| ~ spl76_154 ),
inference(sat_conversion,[],[f1476]) ).
cnf(s47,plain,
( ~ spl76_5
| ~ spl76_157 ),
inference(sat_conversion,[],[f1491]) ).
cnf(s52,plain,
( ~ spl76_6
| ~ spl76_161 ),
inference(sat_conversion,[],[f1512]) ).
cnf(s58,plain,
( ~ spl76_7
| ~ spl76_167 ),
inference(sat_conversion,[],[f1542]) ).
cnf(s63,plain,
( ~ spl76_8
| ~ spl76_171 ),
inference(sat_conversion,[],[f1563]) ).
cnf(s66,plain,
( ~ spl76_9
| ~ spl76_174 ),
inference(sat_conversion,[],[f1578]) ).
cnf(s71,plain,
( ~ spl76_10
| ~ spl76_174 ),
inference(sat_conversion,[],[f1599]) ).
cnf(s78,plain,
( ~ spl76_11
| ~ spl76_184 ),
inference(sat_conversion,[],[f1630]) ).
cnf(s84,plain,
( ~ spl76_12
| ~ spl76_188 ),
inference(sat_conversion,[],[f1652]) ).
cnf(s90,plain,
( ~ spl76_13
| ~ spl76_55 ),
inference(sat_conversion,[],[f1674]) ).
cnf(s95,plain,
( ~ spl76_14
| ~ spl76_54 ),
inference(sat_conversion,[],[f1687]) ).
cnf(s96,plain,
( ~ spl76_15
| ~ spl76_161 ),
inference(sat_conversion,[],[f1688]) ).
cnf(s101,plain,
( ~ spl76_16
| ~ spl76_157 ),
inference(sat_conversion,[],[f1709]) ).
cnf(s107,plain,
( ~ spl76_17
| ~ spl76_202 ),
inference(sat_conversion,[],[f1731]) ).
cnf(s112,plain,
( ~ spl76_18
| ~ spl76_202 ),
inference(sat_conversion,[],[f1748]) ).
cnf(s119,plain,
( ~ spl76_19
| ~ spl76_211 ),
inference(sat_conversion,[],[f1779]) ).
cnf(s123,plain,
( ~ spl76_20
| ~ spl76_213 ),
inference(sat_conversion,[],[f1791]) ).
cnf(s129,plain,
( ~ spl76_21
| ~ spl76_217 ),
inference(sat_conversion,[],[f1813]) ).
cnf(s132,plain,
( ~ spl76_22
| ~ spl76_184 ),
inference(sat_conversion,[],[f1820]) ).
cnf(s138,plain,
( ~ spl76_23
| ~ spl76_221 ),
inference(sat_conversion,[],[f1838]) ).
cnf(s143,plain,
( ~ spl76_24
| ~ spl76_221 ),
inference(sat_conversion,[],[f1851]) ).
cnf(s150,plain,
( ~ spl76_25
| ~ spl76_57 ),
inference(sat_conversion,[],[f1874]) ).
cnf(s155,plain,
( ~ spl76_26
| ~ spl76_56 ),
inference(sat_conversion,[],[f1883]) ).
cnf(s156,plain,
( ~ spl76_27
| ~ spl76_171 ),
inference(sat_conversion,[],[f1884]) ).
cnf(s161,plain,
( ~ spl76_28
| ~ spl76_167 ),
inference(sat_conversion,[],[f1901]) ).
cnf(s167,plain,
( ~ spl76_29
| ~ spl76_213 ),
inference(sat_conversion,[],[f1915]) ).
cnf(s174,plain,
( ~ spl76_30
| ~ spl76_237 ),
inference(sat_conversion,[],[f1938]) ).
cnf(s177,plain,
( ~ spl76_31
| ~ spl76_188 ),
inference(sat_conversion,[],[f1945]) ).
cnf(s183,plain,
( ~ spl76_32
| ~ spl76_217 ),
inference(sat_conversion,[],[f1959]) ).
cnf(s186,plain,
( ~ spl76_33
| ~ spl76_154 ),
inference(sat_conversion,[],[f1966]) ).
cnf(s191,plain,
( ~ spl76_34
| ~ spl76_150 ),
inference(sat_conversion,[],[f1979]) ).
cnf(s199,plain,
( ~ spl76_35
| ~ spl76_245 ),
inference(sat_conversion,[],[f1995]) ).
cnf(s204,plain,
( ~ spl76_36
| ~ spl76_245 ),
inference(sat_conversion,[],[f2004]) ).
cnf(s210,plain,
( ~ spl76_37
| ~ spl76_59 ),
inference(sat_conversion,[],[f2018]) ).
cnf(s215,plain,
( ~ spl76_38
| ~ spl76_58 ),
inference(sat_conversion,[],[f2023]) ).
cnf(s218,plain,
( ~ spl76_39
| ~ spl76_237 ),
inference(sat_conversion,[],[f2026]) ).
cnf(s222,plain,
( ~ spl76_40
| ~ spl76_211 ),
inference(sat_conversion,[],[f2038]) ).
cnf(s226,plain,
( ~ spl76_41
| ~ spl76_52 ),
inference(sat_conversion,[],[f2046]) ).
cnf(s231,plain,
( ~ spl76_42
| ~ spl76_53 ),
inference(sat_conversion,[],[f2051]) ).
cnf(s237,plain,
( ~ spl76_43
| ~ spl76_54 ),
inference(sat_conversion,[],[f2057]) ).
cnf(s242,plain,
( ~ spl76_44
| ~ spl76_55 ),
inference(sat_conversion,[],[f2062]) ).
cnf(s248,plain,
( ~ spl76_45
| ~ spl76_56 ),
inference(sat_conversion,[],[f2068]) ).
cnf(s253,plain,
( ~ spl76_46
| ~ spl76_57 ),
inference(sat_conversion,[],[f2073]) ).
cnf(s259,plain,
( ~ spl76_47
| ~ spl76_58 ),
inference(sat_conversion,[],[f2079]) ).
cnf(s264,plain,
( ~ spl76_48
| ~ spl76_59 ),
inference(sat_conversion,[],[f2084]) ).
cnf(s270,plain,
( ~ spl76_49
| ~ spl76_60 ),
inference(sat_conversion,[],[f2090]) ).
cnf(s275,plain,
( ~ spl76_50
| ~ spl76_60 ),
inference(sat_conversion,[],[f2095]) ).
cnf(s280,plain,
~ spl76_51,
inference(sat_conversion,[],[f2116]) ).
cnf(s285,plain,
( ~ spl76_61
| ~ spl76_174 ),
inference(sat_conversion,[],[f2121]) ).
cnf(s288,plain,
( ~ spl76_62
| ~ spl76_161 ),
inference(sat_conversion,[],[f2124]) ).
cnf(s294,plain,
( ~ spl76_63
| ~ spl76_171 ),
inference(sat_conversion,[],[f2130]) ).
cnf(s297,plain,
( ~ spl76_64
| ~ spl76_154 ),
inference(sat_conversion,[],[f2133]) ).
cnf(s301,plain,
( ~ spl76_52
| ~ spl76_65 ),
inference(sat_conversion,[],[f2137]) ).
cnf(s308,plain,
( ~ spl76_66
| ~ spl76_157 ),
inference(sat_conversion,[],[f2144]) ).
cnf(s314,plain,
( ~ spl76_67
| ~ spl76_202 ),
inference(sat_conversion,[],[f2150]) ).
cnf(s320,plain,
( ~ spl76_68
| ~ spl76_213 ),
inference(sat_conversion,[],[f2156]) ).
cnf(s321,plain,
( ~ spl76_69
| ~ spl76_188 ),
inference(sat_conversion,[],[f2157]) ).
cnf(s327,plain,
( ~ spl76_54
| ~ spl76_70 ),
inference(sat_conversion,[],[f2163]) ).
cnf(s334,plain,
( ~ spl76_71
| ~ spl76_167 ),
inference(sat_conversion,[],[f2170]) ).
cnf(s336,plain,
( ~ spl76_72
| ~ spl76_184 ),
inference(sat_conversion,[],[f2172]) ).
cnf(s342,plain,
( ~ spl76_73
| ~ spl76_221 ),
inference(sat_conversion,[],[f2178]) ).
cnf(s350,plain,
( ~ spl76_74
| ~ spl76_237 ),
inference(sat_conversion,[],[f2186]) ).
cnf(s353,plain,
( ~ spl76_56
| ~ spl76_75 ),
inference(sat_conversion,[],[f2189]) ).
cnf(s357,plain,
( ~ spl76_76
| ~ spl76_150 ),
inference(sat_conversion,[],[f2193]) ).
cnf(s365,plain,
( ~ spl76_77
| ~ spl76_211 ),
inference(sat_conversion,[],[f2201]) ).
cnf(s366,plain,
( ~ spl76_78
| ~ spl76_217 ),
inference(sat_conversion,[],[f2202]) ).
cnf(s373,plain,
( ~ spl76_79
| ~ spl76_245 ),
inference(sat_conversion,[],[f2209]) ).
cnf(s379,plain,
( ~ spl76_58
| ~ spl76_80 ),
inference(sat_conversion,[],[f2215]) ).
cnf(s381,plain,
( ~ spl76_53
| ~ spl76_81 ),
inference(sat_conversion,[],[f2217]) ).
cnf(s387,plain,
( ~ spl76_55
| ~ spl76_82 ),
inference(sat_conversion,[],[f2223]) ).
cnf(s393,plain,
( ~ spl76_57
| ~ spl76_83 ),
inference(sat_conversion,[],[f2229]) ).
cnf(s399,plain,
( ~ spl76_59
| ~ spl76_84 ),
inference(sat_conversion,[],[f2235]) ).
cnf(s401,plain,
spl76_174,
inference(sat_conversion,[],[f2237]) ).
cnf(s402,plain,
spl76_161,
inference(sat_conversion,[],[f2238]) ).
cnf(s403,plain,
spl76_171,
inference(sat_conversion,[],[f2239]) ).
cnf(s404,plain,
spl76_154,
inference(sat_conversion,[],[f2240]) ).
cnf(s405,plain,
spl76_52,
inference(sat_conversion,[],[f2241]) ).
cnf(s406,plain,
spl76_157,
inference(sat_conversion,[],[f2242]) ).
cnf(s407,plain,
spl76_202,
inference(sat_conversion,[],[f2243]) ).
cnf(s408,plain,
spl76_213,
inference(sat_conversion,[],[f2244]) ).
cnf(s409,plain,
spl76_188,
inference(sat_conversion,[],[f2245]) ).
cnf(s410,plain,
spl76_54,
inference(sat_conversion,[],[f2246]) ).
cnf(s411,plain,
spl76_167,
inference(sat_conversion,[],[f2247]) ).
cnf(s412,plain,
spl76_184,
inference(sat_conversion,[],[f2248]) ).
cnf(s413,plain,
spl76_221,
inference(sat_conversion,[],[f2249]) ).
cnf(s414,plain,
spl76_237,
inference(sat_conversion,[],[f2250]) ).
cnf(s415,plain,
spl76_56,
inference(sat_conversion,[],[f2251]) ).
cnf(s416,plain,
spl76_150,
inference(sat_conversion,[],[f2252]) ).
cnf(s417,plain,
spl76_211,
inference(sat_conversion,[],[f2253]) ).
cnf(s418,plain,
spl76_217,
inference(sat_conversion,[],[f2254]) ).
cnf(s419,plain,
spl76_245,
inference(sat_conversion,[],[f2255]) ).
cnf(s420,plain,
spl76_58,
inference(sat_conversion,[],[f2256]) ).
cnf(s421,plain,
spl76_53,
inference(sat_conversion,[],[f2257]) ).
cnf(s422,plain,
spl76_55,
inference(sat_conversion,[],[f2258]) ).
cnf(s423,plain,
spl76_57,
inference(sat_conversion,[],[f2259]) ).
cnf(s424,plain,
spl76_59,
inference(sat_conversion,[],[f2260]) ).
cnf(s425,plain,
spl76_60,
inference(sat_conversion,[],[f2261]) ).
cnf(s426,plain,
~ spl76_252,
inference(sat_conversion,[],[f2262]) ).
cnf(s437,plain,
( spl76_108
| ~ spl76_154
| ~ spl76_188 ),
inference(sat_conversion,[],[f2306]) ).
cnf(s438,plain,
( ~ spl76_107
| spl76_170
| ~ spl76_188 ),
inference(sat_conversion,[],[f2309]) ).
cnf(s439,plain,
( ~ spl76_109
| spl76_185
| ~ spl76_188 ),
inference(sat_conversion,[],[f2313]) ).
cnf(s443,plain,
( ~ spl76_161
| ~ spl76_170 ),
inference(sat_conversion,[],[f2322]) ).
cnf(s447,plain,
( ~ spl76_185
| ~ spl76_211
| spl76_252 ),
inference(sat_conversion,[],[f2333]) ).
cnf(s448,plain,
~ spl76_185,
inference(rat,[],[s447,s426,s417]) ).
cnf(s449,plain,
~ spl76_109,
inference(rat,[],[s439,s448,s409]) ).
cnf(s451,plain,
spl76_108,
inference(rat,[],[s437,s409,s404]) ).
cnf(s454,plain,
~ spl76_170,
inference(rat,[],[s443,s402]) ).
cnf(s457,plain,
~ spl76_107,
inference(rat,[],[s438,s409,s454]) ).
cnf(s458,plain,
~ spl76_84,
inference(rat,[],[s399,s424]) ).
cnf(s459,plain,
~ spl76_83,
inference(rat,[],[s393,s423]) ).
cnf(s460,plain,
~ spl76_82,
inference(rat,[],[s387,s422]) ).
cnf(s461,plain,
~ spl76_81,
inference(rat,[],[s381,s421]) ).
cnf(s462,plain,
~ spl76_80,
inference(rat,[],[s379,s420]) ).
cnf(s463,plain,
~ spl76_79,
inference(rat,[],[s373,s419]) ).
cnf(s464,plain,
~ spl76_78,
inference(rat,[],[s366,s418]) ).
cnf(s465,plain,
~ spl76_77,
inference(rat,[],[s365,s417]) ).
cnf(s466,plain,
~ spl76_76,
inference(rat,[],[s357,s416]) ).
cnf(s467,plain,
~ spl76_75,
inference(rat,[],[s353,s415]) ).
cnf(s468,plain,
~ spl76_74,
inference(rat,[],[s350,s414]) ).
cnf(s469,plain,
~ spl76_73,
inference(rat,[],[s342,s413]) ).
cnf(s470,plain,
~ spl76_72,
inference(rat,[],[s336,s412]) ).
cnf(s471,plain,
~ spl76_71,
inference(rat,[],[s334,s411]) ).
cnf(s472,plain,
~ spl76_70,
inference(rat,[],[s327,s410]) ).
cnf(s473,plain,
~ spl76_69,
inference(rat,[],[s321,s409]) ).
cnf(s474,plain,
~ spl76_68,
inference(rat,[],[s320,s408]) ).
cnf(s475,plain,
~ spl76_67,
inference(rat,[],[s314,s407]) ).
cnf(s476,plain,
~ spl76_66,
inference(rat,[],[s308,s406]) ).
cnf(s477,plain,
~ spl76_65,
inference(rat,[],[s301,s405]) ).
cnf(s478,plain,
~ spl76_64,
inference(rat,[],[s297,s404]) ).
cnf(s479,plain,
~ spl76_63,
inference(rat,[],[s294,s403]) ).
cnf(s480,plain,
~ spl76_62,
inference(rat,[],[s288,s402]) ).
cnf(s481,plain,
~ spl76_61,
inference(rat,[],[s285,s401]) ).
cnf(s482,plain,
~ spl76_50,
inference(rat,[],[s275,s425]) ).
cnf(s483,plain,
~ spl76_49,
inference(rat,[],[s270,s425]) ).
cnf(s484,plain,
~ spl76_48,
inference(rat,[],[s264,s424]) ).
cnf(s485,plain,
~ spl76_47,
inference(rat,[],[s259,s420]) ).
cnf(s486,plain,
~ spl76_46,
inference(rat,[],[s253,s423]) ).
cnf(s487,plain,
~ spl76_45,
inference(rat,[],[s248,s415]) ).
cnf(s488,plain,
~ spl76_44,
inference(rat,[],[s242,s422]) ).
cnf(s489,plain,
~ spl76_43,
inference(rat,[],[s237,s410]) ).
cnf(s490,plain,
~ spl76_42,
inference(rat,[],[s231,s421]) ).
cnf(s491,plain,
~ spl76_41,
inference(rat,[],[s226,s405]) ).
cnf(s492,plain,
~ spl76_40,
inference(rat,[],[s222,s417]) ).
cnf(s493,plain,
~ spl76_39,
inference(rat,[],[s218,s414]) ).
cnf(s494,plain,
~ spl76_38,
inference(rat,[],[s215,s420]) ).
cnf(s495,plain,
~ spl76_37,
inference(rat,[],[s210,s424]) ).
cnf(s496,plain,
~ spl76_36,
inference(rat,[],[s204,s419]) ).
cnf(s497,plain,
~ spl76_35,
inference(rat,[],[s199,s419]) ).
cnf(s498,plain,
~ spl76_34,
inference(rat,[],[s191,s416]) ).
cnf(s499,plain,
~ spl76_33,
inference(rat,[],[s186,s404]) ).
cnf(s500,plain,
~ spl76_32,
inference(rat,[],[s183,s418]) ).
cnf(s501,plain,
~ spl76_31,
inference(rat,[],[s177,s409]) ).
cnf(s502,plain,
~ spl76_30,
inference(rat,[],[s174,s414]) ).
cnf(s503,plain,
~ spl76_29,
inference(rat,[],[s167,s408]) ).
cnf(s504,plain,
~ spl76_28,
inference(rat,[],[s161,s411]) ).
cnf(s505,plain,
~ spl76_27,
inference(rat,[],[s156,s403]) ).
cnf(s506,plain,
~ spl76_26,
inference(rat,[],[s155,s415]) ).
cnf(s507,plain,
~ spl76_25,
inference(rat,[],[s150,s423]) ).
cnf(s508,plain,
~ spl76_24,
inference(rat,[],[s143,s413]) ).
cnf(s509,plain,
~ spl76_23,
inference(rat,[],[s138,s413]) ).
cnf(s510,plain,
~ spl76_22,
inference(rat,[],[s132,s412]) ).
cnf(s511,plain,
~ spl76_21,
inference(rat,[],[s129,s418]) ).
cnf(s512,plain,
~ spl76_20,
inference(rat,[],[s123,s408]) ).
cnf(s513,plain,
~ spl76_19,
inference(rat,[],[s119,s417]) ).
cnf(s514,plain,
~ spl76_18,
inference(rat,[],[s112,s407]) ).
cnf(s515,plain,
~ spl76_17,
inference(rat,[],[s107,s407]) ).
cnf(s516,plain,
~ spl76_16,
inference(rat,[],[s101,s406]) ).
cnf(s517,plain,
~ spl76_15,
inference(rat,[],[s96,s402]) ).
cnf(s518,plain,
~ spl76_14,
inference(rat,[],[s95,s410]) ).
cnf(s519,plain,
~ spl76_13,
inference(rat,[],[s90,s422]) ).
cnf(s520,plain,
~ spl76_12,
inference(rat,[],[s84,s409]) ).
cnf(s521,plain,
~ spl76_11,
inference(rat,[],[s78,s412]) ).
cnf(s522,plain,
~ spl76_10,
inference(rat,[],[s71,s401]) ).
cnf(s523,plain,
~ spl76_9,
inference(rat,[],[s66,s401]) ).
cnf(s524,plain,
~ spl76_8,
inference(rat,[],[s63,s403]) ).
cnf(s525,plain,
~ spl76_7,
inference(rat,[],[s58,s411]) ).
cnf(s526,plain,
~ spl76_6,
inference(rat,[],[s52,s402]) ).
cnf(s527,plain,
~ spl76_5,
inference(rat,[],[s47,s406]) ).
cnf(s528,plain,
~ spl76_4,
inference(rat,[],[s44,s404]) ).
cnf(s529,plain,
~ spl76_3,
inference(rat,[],[s39,s416]) ).
cnf(s530,plain,
~ spl76_2,
inference(rat,[],[s35,s405]) ).
cnf(s531,plain,
~ spl76_1,
inference(rat,[],[s30,s421]) ).
cnf(s533,plain,
~ spl76_86,
inference(rat,[],[s12,s449,s451,s457]) ).
cnf(s534,plain,
$false,
inference(rat,[],[s5,s533,s458,s459,s460,s461,s462,s463,s464,s465,s466,s467,s468,s469,s470,s471,s472,s473,s474,s475,s476,s477,s478,s479,s480,s481,s425,s424,s420,s423,s415,s422,s410,s421,s405,s280,s482,s483,s484,s485,s486,s487,s488,s489,s490,s491,s492,s493,s494,s495,s496,s497,s498,s499,s500,s501,s502,s503,s504,s505,s506,s507,s508,s509,s510,s511,s512,s513,s514,s515,s516,s517,s518,s519,s520,s521,s522,s523,s524,s525,s526,s527,s528,s529,s530,s531]) ).
fof(f2334,plain,
$false,
inference(avatar_sat_refutation,[],[s534]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG095+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18 % Computer : n002.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 19:28:52 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21 Running first-order model finding
% 0.07/0.21 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.26 % (673383)Will run a generic schedule for satisfiability detection.
% 0.07/0.26 % (673391)dis+10_1_sil=32000:sp=arity:random_seed=3621289590:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.07/0.26 % (673389)% WARNING: option uhcvi not known.
% 0.07/0.26 % (673388)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=645982231_2999 on theBenchmark for (2999ds/0Mi)
% 0.07/0.26 % (673389)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=91478483:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.07/0.26 % (673390)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4009687256:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.07/0.26 % (673392)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3845716458:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.07/0.26 % (673391) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-673383-673391"...
% 0.07/0.26 % (673394)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=228495496:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.07/0.26 % (673393)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=737244798:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.07/0.26 % (673391)...printing done.
% 0.07/0.26 % (673391)Refutation found. Thanks to Tanya!
% 0.07/0.26 % SZS status Theorem for theBenchmark
% 0.07/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.27 % (673391)------------------------------
% 0.18/0.27 % (673391)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.27 % (673391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.27 % (673391)CaDiCaL version: 2.1.3
% 0.18/0.27 % (673391)Termination reason: Refutation
% 0.18/0.27 % (673391)Time elapsed: 0.015 s
% 0.18/0.27 % (673391)Peak memory usage: 13 MB
% 0.18/0.27 % (673391)Instructions burned: 59 (million)
% 0.18/0.27 % (673383)Success in time 0.043 s
% 0.18/0.27 % Vampire exiting
%------------------------------------------------------------------------------