%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG062+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:09:25 AM UTC 2026
% Result : Theorem 2.34s 0.80s
% Output : Refutation 2.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 177
% Syntax : Number of formulae : 450 ( 60 unt; 173 def)
% Number of atoms : 2788 (1889 equ)
% Maximal formula atoms : 400 ( 6 avg)
% Number of connectives : 3935 (1597 ~;1056 |;1239 &)
% ( 43 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 175 ( 173 usr; 174 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(f2,axiom,
( 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 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f4,axiom,
( op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e2,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e3,e0) != op(e4,e0)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e4,e1)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e3,e1) != op(e4,e1)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e4,e2)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e3,e2) != op(e4,e2)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e4,e3)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e3,e3) != op(e4,e3)
& op(e0,e4) != op(e1,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e4,e4)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,e4)
& op(e3,e4) != op(e4,e4)
& op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e4)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& op(e0,e3) != op(e0,e4)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e3) != op(e1,e4)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e4)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e3) != op(e2,e4)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e4)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e3) != op(e3,e4)
& op(e4,e0) != op(e4,e1)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e4)
& op(e4,e1) != op(e4,e2)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e2) != op(e4,e4)
& op(e4,e3) != op(e4,e4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f6,axiom,
( e0 = op(e1,op(op(e1,e1),op(e1,e1)))
& e2 = op(op(e1,e1),op(e1,e1))
& e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
& e4 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f7,conjecture,
~ ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ( ( ( op(e0,e0) != e0
| ( op(e0,e0) = e0
& e0 != unit ) )
& ( op(e0,e1) != e0
| ( op(e0,e0) = e1
& e0 != unit ) )
& ( op(e0,e2) != e0
| ( op(e0,e0) = e2
& e0 != unit ) )
& ( op(e0,e3) != e0
| ( op(e0,e0) = e3
& e0 != unit ) )
& ( op(e0,e4) != e0
| ( op(e0,e0) = e4
& e0 != unit ) )
& ( op(e1,e0) != e0
| ( op(e1,e0) = e0
& e0 != unit ) )
& ( op(e1,e1) != e0
| ( op(e1,e0) = e1
& e0 != unit ) )
& ( op(e1,e2) != e0
| ( op(e1,e0) = e2
& e0 != unit ) )
& ( op(e1,e3) != e0
| ( op(e1,e0) = e3
& e0 != unit ) )
& ( op(e1,e4) != e0
| ( op(e1,e0) = e4
& e0 != unit ) )
& ( op(e2,e0) != e0
| ( op(e2,e0) = e0
& e0 != unit ) )
& ( op(e2,e1) != e0
| ( op(e2,e0) = e1
& e0 != unit ) )
& ( op(e2,e2) != e0
| ( op(e2,e0) = e2
& e0 != unit ) )
& ( op(e2,e3) != e0
| ( op(e2,e0) = e3
& e0 != unit ) )
& ( op(e2,e4) != e0
| ( op(e2,e0) = e4
& e0 != unit ) )
& ( op(e3,e0) != e0
| ( op(e3,e0) = e0
& e0 != unit ) )
& ( op(e3,e1) != e0
| ( op(e3,e0) = e1
& e0 != unit ) )
& ( op(e3,e2) != e0
| ( op(e3,e0) = e2
& e0 != unit ) )
& ( op(e3,e3) != e0
| ( op(e3,e0) = e3
& e0 != unit ) )
& ( op(e3,e4) != e0
| ( op(e3,e0) = e4
& e0 != unit ) )
& ( op(e4,e0) != e0
| ( op(e4,e0) = e0
& e0 != unit ) )
& ( op(e4,e1) != e0
| ( op(e4,e0) = e1
& e0 != unit ) )
& ( op(e4,e2) != e0
| ( op(e4,e0) = e2
& e0 != unit ) )
& ( op(e4,e3) != e0
| ( op(e4,e0) = e3
& e0 != unit ) )
& ( op(e4,e4) != e0
| ( op(e4,e0) = e4
& e0 != unit ) ) )
| ( ( op(e0,e0) != e1
| ( op(e0,e1) = e0
& e1 != unit ) )
& ( op(e0,e1) != e1
| ( op(e0,e1) = e1
& e1 != unit ) )
& ( op(e0,e2) != e1
| ( op(e0,e1) = e2
& e1 != unit ) )
& ( op(e0,e3) != e1
| ( op(e0,e1) = e3
& e1 != unit ) )
& ( op(e0,e4) != e1
| ( op(e0,e1) = e4
& e1 != unit ) )
& ( op(e1,e0) != e1
| ( op(e1,e1) = e0
& e1 != unit ) )
& ( op(e1,e1) != e1
| ( op(e1,e1) = e1
& e1 != unit ) )
& ( op(e1,e2) != e1
| ( op(e1,e1) = e2
& e1 != unit ) )
& ( op(e1,e3) != e1
| ( op(e1,e1) = e3
& e1 != unit ) )
& ( op(e1,e4) != e1
| ( op(e1,e1) = e4
& e1 != unit ) )
& ( op(e2,e0) != e1
| ( op(e2,e1) = e0
& e1 != unit ) )
& ( op(e2,e1) != e1
| ( op(e2,e1) = e1
& e1 != unit ) )
& ( op(e2,e2) != e1
| ( op(e2,e1) = e2
& e1 != unit ) )
& ( op(e2,e3) != e1
| ( op(e2,e1) = e3
& e1 != unit ) )
& ( op(e2,e4) != e1
| ( op(e2,e1) = e4
& e1 != unit ) )
& ( op(e3,e0) != e1
| ( op(e3,e1) = e0
& e1 != unit ) )
& ( op(e3,e1) != e1
| ( op(e3,e1) = e1
& e1 != unit ) )
& ( op(e3,e2) != e1
| ( op(e3,e1) = e2
& e1 != unit ) )
& ( op(e3,e3) != e1
| ( op(e3,e1) = e3
& e1 != unit ) )
& ( op(e3,e4) != e1
| ( op(e3,e1) = e4
& e1 != unit ) )
& ( op(e4,e0) != e1
| ( op(e4,e1) = e0
& e1 != unit ) )
& ( op(e4,e1) != e1
| ( op(e4,e1) = e1
& e1 != unit ) )
& ( op(e4,e2) != e1
| ( op(e4,e1) = e2
& e1 != unit ) )
& ( op(e4,e3) != e1
| ( op(e4,e1) = e3
& e1 != unit ) )
& ( op(e4,e4) != e1
| ( op(e4,e1) = e4
& e1 != unit ) ) )
| ( ( op(e0,e0) != e2
| ( op(e0,e2) = e0
& e2 != unit ) )
& ( op(e0,e1) != e2
| ( op(e0,e2) = e1
& e2 != unit ) )
& ( op(e0,e2) != e2
| ( op(e0,e2) = e2
& e2 != unit ) )
& ( op(e0,e3) != e2
| ( op(e0,e2) = e3
& e2 != unit ) )
& ( op(e0,e4) != e2
| ( op(e0,e2) = e4
& e2 != unit ) )
& ( op(e1,e0) != e2
| ( op(e1,e2) = e0
& e2 != unit ) )
& ( op(e1,e1) != e2
| ( op(e1,e2) = e1
& e2 != unit ) )
& ( op(e1,e2) != e2
| ( op(e1,e2) = e2
& e2 != unit ) )
& ( op(e1,e3) != e2
| ( op(e1,e2) = e3
& e2 != unit ) )
& ( op(e1,e4) != e2
| ( op(e1,e2) = e4
& e2 != unit ) )
& ( op(e2,e0) != e2
| ( op(e2,e2) = e0
& e2 != unit ) )
& ( op(e2,e1) != e2
| ( op(e2,e2) = e1
& e2 != unit ) )
& ( op(e2,e2) != e2
| ( op(e2,e2) = e2
& e2 != unit ) )
& ( op(e2,e3) != e2
| ( op(e2,e2) = e3
& e2 != unit ) )
& ( op(e2,e4) != e2
| ( op(e2,e2) = e4
& e2 != unit ) )
& ( op(e3,e0) != e2
| ( op(e3,e2) = e0
& e2 != unit ) )
& ( op(e3,e1) != e2
| ( op(e3,e2) = e1
& e2 != unit ) )
& ( op(e3,e2) != e2
| ( op(e3,e2) = e2
& e2 != unit ) )
& ( op(e3,e3) != e2
| ( op(e3,e2) = e3
& e2 != unit ) )
& ( op(e3,e4) != e2
| ( op(e3,e2) = e4
& e2 != unit ) )
& ( op(e4,e0) != e2
| ( op(e4,e2) = e0
& e2 != unit ) )
& ( op(e4,e1) != e2
| ( op(e4,e2) = e1
& e2 != unit ) )
& ( op(e4,e2) != e2
| ( op(e4,e2) = e2
& e2 != unit ) )
& ( op(e4,e3) != e2
| ( op(e4,e2) = e3
& e2 != unit ) )
& ( op(e4,e4) != e2
| ( op(e4,e2) = e4
& e2 != unit ) ) )
| ( ( op(e0,e0) != e3
| ( op(e0,e3) = e0
& e3 != unit ) )
& ( op(e0,e1) != e3
| ( op(e0,e3) = e1
& e3 != unit ) )
& ( op(e0,e2) != e3
| ( op(e0,e3) = e2
& e3 != unit ) )
& ( op(e0,e3) != e3
| ( op(e0,e3) = e3
& e3 != unit ) )
& ( op(e0,e4) != e3
| ( op(e0,e3) = e4
& e3 != unit ) )
& ( op(e1,e0) != e3
| ( op(e1,e3) = e0
& e3 != unit ) )
& ( op(e1,e1) != e3
| ( op(e1,e3) = e1
& e3 != unit ) )
& ( op(e1,e2) != e3
| ( op(e1,e3) = e2
& e3 != unit ) )
& ( op(e1,e3) != e3
| ( op(e1,e3) = e3
& e3 != unit ) )
& ( op(e1,e4) != e3
| ( op(e1,e3) = e4
& e3 != unit ) )
& ( op(e2,e0) != e3
| ( op(e2,e3) = e0
& e3 != unit ) )
& ( op(e2,e1) != e3
| ( op(e2,e3) = e1
& e3 != unit ) )
& ( op(e2,e2) != e3
| ( op(e2,e3) = e2
& e3 != unit ) )
& ( op(e2,e3) != e3
| ( op(e2,e3) = e3
& e3 != unit ) )
& ( op(e2,e4) != e3
| ( op(e2,e3) = e4
& e3 != unit ) )
& ( op(e3,e0) != e3
| ( op(e3,e3) = e0
& e3 != unit ) )
& ( op(e3,e1) != e3
| ( op(e3,e3) = e1
& e3 != unit ) )
& ( op(e3,e2) != e3
| ( op(e3,e3) = e2
& e3 != unit ) )
& ( op(e3,e3) != e3
| ( op(e3,e3) = e3
& e3 != unit ) )
& ( op(e3,e4) != e3
| ( op(e3,e3) = e4
& e3 != unit ) )
& ( op(e4,e0) != e3
| ( op(e4,e3) = e0
& e3 != unit ) )
& ( op(e4,e1) != e3
| ( op(e4,e3) = e1
& e3 != unit ) )
& ( op(e4,e2) != e3
| ( op(e4,e3) = e2
& e3 != unit ) )
& ( op(e4,e3) != e3
| ( op(e4,e3) = e3
& e3 != unit ) )
& ( op(e4,e4) != e3
| ( op(e4,e3) = e4
& e3 != unit ) ) )
| ( ( op(e0,e0) != e4
| ( op(e0,e4) = e0
& e4 != unit ) )
& ( op(e0,e1) != e4
| ( op(e0,e4) = e1
& e4 != unit ) )
& ( op(e0,e2) != e4
| ( op(e0,e4) = e2
& e4 != unit ) )
& ( op(e0,e3) != e4
| ( op(e0,e4) = e3
& e4 != unit ) )
& ( op(e0,e4) != e4
| ( op(e0,e4) = e4
& e4 != unit ) )
& ( op(e1,e0) != e4
| ( op(e1,e4) = e0
& e4 != unit ) )
& ( op(e1,e1) != e4
| ( op(e1,e4) = e1
& e4 != unit ) )
& ( op(e1,e2) != e4
| ( op(e1,e4) = e2
& e4 != unit ) )
& ( op(e1,e3) != e4
| ( op(e1,e4) = e3
& e4 != unit ) )
& ( op(e1,e4) != e4
| ( op(e1,e4) = e4
& e4 != unit ) )
& ( op(e2,e0) != e4
| ( op(e2,e4) = e0
& e4 != unit ) )
& ( op(e2,e1) != e4
| ( op(e2,e4) = e1
& e4 != unit ) )
& ( op(e2,e2) != e4
| ( op(e2,e4) = e2
& e4 != unit ) )
& ( op(e2,e3) != e4
| ( op(e2,e4) = e3
& e4 != unit ) )
& ( op(e2,e4) != e4
| ( op(e2,e4) = e4
& e4 != unit ) )
& ( op(e3,e0) != e4
| ( op(e3,e4) = e0
& e4 != unit ) )
& ( op(e3,e1) != e4
| ( op(e3,e4) = e1
& e4 != unit ) )
& ( op(e3,e2) != e4
| ( op(e3,e4) = e2
& e4 != unit ) )
& ( op(e3,e3) != e4
| ( op(e3,e4) = e3
& e4 != unit ) )
& ( op(e3,e4) != e4
| ( op(e3,e4) = e4
& e4 != unit ) )
& ( op(e4,e0) != e4
| ( op(e4,e4) = e0
& e4 != unit ) )
& ( op(e4,e1) != e4
| ( op(e4,e4) = e1
& e4 != unit ) )
& ( op(e4,e2) != e4
| ( op(e4,e4) = e2
& e4 != unit ) )
& ( op(e4,e3) != e4
| ( op(e4,e4) = e3
& e4 != unit ) )
& ( op(e4,e4) != e4
| ( op(e4,e4) = e4
& e4 != unit ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f8,negated_conjecture,
~ ~ ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ( ( ( op(e0,e0) != e0
| ( op(e0,e0) = e0
& e0 != unit ) )
& ( op(e0,e1) != e0
| ( op(e0,e0) = e1
& e0 != unit ) )
& ( op(e0,e2) != e0
| ( op(e0,e0) = e2
& e0 != unit ) )
& ( op(e0,e3) != e0
| ( op(e0,e0) = e3
& e0 != unit ) )
& ( op(e0,e4) != e0
| ( op(e0,e0) = e4
& e0 != unit ) )
& ( op(e1,e0) != e0
| ( op(e1,e0) = e0
& e0 != unit ) )
& ( op(e1,e1) != e0
| ( op(e1,e0) = e1
& e0 != unit ) )
& ( op(e1,e2) != e0
| ( op(e1,e0) = e2
& e0 != unit ) )
& ( op(e1,e3) != e0
| ( op(e1,e0) = e3
& e0 != unit ) )
& ( op(e1,e4) != e0
| ( op(e1,e0) = e4
& e0 != unit ) )
& ( op(e2,e0) != e0
| ( op(e2,e0) = e0
& e0 != unit ) )
& ( op(e2,e1) != e0
| ( op(e2,e0) = e1
& e0 != unit ) )
& ( op(e2,e2) != e0
| ( op(e2,e0) = e2
& e0 != unit ) )
& ( op(e2,e3) != e0
| ( op(e2,e0) = e3
& e0 != unit ) )
& ( op(e2,e4) != e0
| ( op(e2,e0) = e4
& e0 != unit ) )
& ( op(e3,e0) != e0
| ( op(e3,e0) = e0
& e0 != unit ) )
& ( op(e3,e1) != e0
| ( op(e3,e0) = e1
& e0 != unit ) )
& ( op(e3,e2) != e0
| ( op(e3,e0) = e2
& e0 != unit ) )
& ( op(e3,e3) != e0
| ( op(e3,e0) = e3
& e0 != unit ) )
& ( op(e3,e4) != e0
| ( op(e3,e0) = e4
& e0 != unit ) )
& ( op(e4,e0) != e0
| ( op(e4,e0) = e0
& e0 != unit ) )
& ( op(e4,e1) != e0
| ( op(e4,e0) = e1
& e0 != unit ) )
& ( op(e4,e2) != e0
| ( op(e4,e0) = e2
& e0 != unit ) )
& ( op(e4,e3) != e0
| ( op(e4,e0) = e3
& e0 != unit ) )
& ( op(e4,e4) != e0
| ( op(e4,e0) = e4
& e0 != unit ) ) )
| ( ( op(e0,e0) != e1
| ( op(e0,e1) = e0
& e1 != unit ) )
& ( op(e0,e1) != e1
| ( op(e0,e1) = e1
& e1 != unit ) )
& ( op(e0,e2) != e1
| ( op(e0,e1) = e2
& e1 != unit ) )
& ( op(e0,e3) != e1
| ( op(e0,e1) = e3
& e1 != unit ) )
& ( op(e0,e4) != e1
| ( op(e0,e1) = e4
& e1 != unit ) )
& ( op(e1,e0) != e1
| ( op(e1,e1) = e0
& e1 != unit ) )
& ( op(e1,e1) != e1
| ( op(e1,e1) = e1
& e1 != unit ) )
& ( op(e1,e2) != e1
| ( op(e1,e1) = e2
& e1 != unit ) )
& ( op(e1,e3) != e1
| ( op(e1,e1) = e3
& e1 != unit ) )
& ( op(e1,e4) != e1
| ( op(e1,e1) = e4
& e1 != unit ) )
& ( op(e2,e0) != e1
| ( op(e2,e1) = e0
& e1 != unit ) )
& ( op(e2,e1) != e1
| ( op(e2,e1) = e1
& e1 != unit ) )
& ( op(e2,e2) != e1
| ( op(e2,e1) = e2
& e1 != unit ) )
& ( op(e2,e3) != e1
| ( op(e2,e1) = e3
& e1 != unit ) )
& ( op(e2,e4) != e1
| ( op(e2,e1) = e4
& e1 != unit ) )
& ( op(e3,e0) != e1
| ( op(e3,e1) = e0
& e1 != unit ) )
& ( op(e3,e1) != e1
| ( op(e3,e1) = e1
& e1 != unit ) )
& ( op(e3,e2) != e1
| ( op(e3,e1) = e2
& e1 != unit ) )
& ( op(e3,e3) != e1
| ( op(e3,e1) = e3
& e1 != unit ) )
& ( op(e3,e4) != e1
| ( op(e3,e1) = e4
& e1 != unit ) )
& ( op(e4,e0) != e1
| ( op(e4,e1) = e0
& e1 != unit ) )
& ( op(e4,e1) != e1
| ( op(e4,e1) = e1
& e1 != unit ) )
& ( op(e4,e2) != e1
| ( op(e4,e1) = e2
& e1 != unit ) )
& ( op(e4,e3) != e1
| ( op(e4,e1) = e3
& e1 != unit ) )
& ( op(e4,e4) != e1
| ( op(e4,e1) = e4
& e1 != unit ) ) )
| ( ( op(e0,e0) != e2
| ( op(e0,e2) = e0
& e2 != unit ) )
& ( op(e0,e1) != e2
| ( op(e0,e2) = e1
& e2 != unit ) )
& ( op(e0,e2) != e2
| ( op(e0,e2) = e2
& e2 != unit ) )
& ( op(e0,e3) != e2
| ( op(e0,e2) = e3
& e2 != unit ) )
& ( op(e0,e4) != e2
| ( op(e0,e2) = e4
& e2 != unit ) )
& ( op(e1,e0) != e2
| ( op(e1,e2) = e0
& e2 != unit ) )
& ( op(e1,e1) != e2
| ( op(e1,e2) = e1
& e2 != unit ) )
& ( op(e1,e2) != e2
| ( op(e1,e2) = e2
& e2 != unit ) )
& ( op(e1,e3) != e2
| ( op(e1,e2) = e3
& e2 != unit ) )
& ( op(e1,e4) != e2
| ( op(e1,e2) = e4
& e2 != unit ) )
& ( op(e2,e0) != e2
| ( op(e2,e2) = e0
& e2 != unit ) )
& ( op(e2,e1) != e2
| ( op(e2,e2) = e1
& e2 != unit ) )
& ( op(e2,e2) != e2
| ( op(e2,e2) = e2
& e2 != unit ) )
& ( op(e2,e3) != e2
| ( op(e2,e2) = e3
& e2 != unit ) )
& ( op(e2,e4) != e2
| ( op(e2,e2) = e4
& e2 != unit ) )
& ( op(e3,e0) != e2
| ( op(e3,e2) = e0
& e2 != unit ) )
& ( op(e3,e1) != e2
| ( op(e3,e2) = e1
& e2 != unit ) )
& ( op(e3,e2) != e2
| ( op(e3,e2) = e2
& e2 != unit ) )
& ( op(e3,e3) != e2
| ( op(e3,e2) = e3
& e2 != unit ) )
& ( op(e3,e4) != e2
| ( op(e3,e2) = e4
& e2 != unit ) )
& ( op(e4,e0) != e2
| ( op(e4,e2) = e0
& e2 != unit ) )
& ( op(e4,e1) != e2
| ( op(e4,e2) = e1
& e2 != unit ) )
& ( op(e4,e2) != e2
| ( op(e4,e2) = e2
& e2 != unit ) )
& ( op(e4,e3) != e2
| ( op(e4,e2) = e3
& e2 != unit ) )
& ( op(e4,e4) != e2
| ( op(e4,e2) = e4
& e2 != unit ) ) )
| ( ( op(e0,e0) != e3
| ( op(e0,e3) = e0
& e3 != unit ) )
& ( op(e0,e1) != e3
| ( op(e0,e3) = e1
& e3 != unit ) )
& ( op(e0,e2) != e3
| ( op(e0,e3) = e2
& e3 != unit ) )
& ( op(e0,e3) != e3
| ( op(e0,e3) = e3
& e3 != unit ) )
& ( op(e0,e4) != e3
| ( op(e0,e3) = e4
& e3 != unit ) )
& ( op(e1,e0) != e3
| ( op(e1,e3) = e0
& e3 != unit ) )
& ( op(e1,e1) != e3
| ( op(e1,e3) = e1
& e3 != unit ) )
& ( op(e1,e2) != e3
| ( op(e1,e3) = e2
& e3 != unit ) )
& ( op(e1,e3) != e3
| ( op(e1,e3) = e3
& e3 != unit ) )
& ( op(e1,e4) != e3
| ( op(e1,e3) = e4
& e3 != unit ) )
& ( op(e2,e0) != e3
| ( op(e2,e3) = e0
& e3 != unit ) )
& ( op(e2,e1) != e3
| ( op(e2,e3) = e1
& e3 != unit ) )
& ( op(e2,e2) != e3
| ( op(e2,e3) = e2
& e3 != unit ) )
& ( op(e2,e3) != e3
| ( op(e2,e3) = e3
& e3 != unit ) )
& ( op(e2,e4) != e3
| ( op(e2,e3) = e4
& e3 != unit ) )
& ( op(e3,e0) != e3
| ( op(e3,e3) = e0
& e3 != unit ) )
& ( op(e3,e1) != e3
| ( op(e3,e3) = e1
& e3 != unit ) )
& ( op(e3,e2) != e3
| ( op(e3,e3) = e2
& e3 != unit ) )
& ( op(e3,e3) != e3
| ( op(e3,e3) = e3
& e3 != unit ) )
& ( op(e3,e4) != e3
| ( op(e3,e3) = e4
& e3 != unit ) )
& ( op(e4,e0) != e3
| ( op(e4,e3) = e0
& e3 != unit ) )
& ( op(e4,e1) != e3
| ( op(e4,e3) = e1
& e3 != unit ) )
& ( op(e4,e2) != e3
| ( op(e4,e3) = e2
& e3 != unit ) )
& ( op(e4,e3) != e3
| ( op(e4,e3) = e3
& e3 != unit ) )
& ( op(e4,e4) != e3
| ( op(e4,e3) = e4
& e3 != unit ) ) )
| ( ( op(e0,e0) != e4
| ( op(e0,e4) = e0
& e4 != unit ) )
& ( op(e0,e1) != e4
| ( op(e0,e4) = e1
& e4 != unit ) )
& ( op(e0,e2) != e4
| ( op(e0,e4) = e2
& e4 != unit ) )
& ( op(e0,e3) != e4
| ( op(e0,e4) = e3
& e4 != unit ) )
& ( op(e0,e4) != e4
| ( op(e0,e4) = e4
& e4 != unit ) )
& ( op(e1,e0) != e4
| ( op(e1,e4) = e0
& e4 != unit ) )
& ( op(e1,e1) != e4
| ( op(e1,e4) = e1
& e4 != unit ) )
& ( op(e1,e2) != e4
| ( op(e1,e4) = e2
& e4 != unit ) )
& ( op(e1,e3) != e4
| ( op(e1,e4) = e3
& e4 != unit ) )
& ( op(e1,e4) != e4
| ( op(e1,e4) = e4
& e4 != unit ) )
& ( op(e2,e0) != e4
| ( op(e2,e4) = e0
& e4 != unit ) )
& ( op(e2,e1) != e4
| ( op(e2,e4) = e1
& e4 != unit ) )
& ( op(e2,e2) != e4
| ( op(e2,e4) = e2
& e4 != unit ) )
& ( op(e2,e3) != e4
| ( op(e2,e4) = e3
& e4 != unit ) )
& ( op(e2,e4) != e4
| ( op(e2,e4) = e4
& e4 != unit ) )
& ( op(e3,e0) != e4
| ( op(e3,e4) = e0
& e4 != unit ) )
& ( op(e3,e1) != e4
| ( op(e3,e4) = e1
& e4 != unit ) )
& ( op(e3,e2) != e4
| ( op(e3,e4) = e2
& e4 != unit ) )
& ( op(e3,e3) != e4
| ( op(e3,e4) = e3
& e4 != unit ) )
& ( op(e3,e4) != e4
| ( op(e3,e4) = e4
& e4 != unit ) )
& ( op(e4,e0) != e4
| ( op(e4,e4) = e0
& e4 != unit ) )
& ( op(e4,e1) != e4
| ( op(e4,e4) = e1
& e4 != unit ) )
& ( op(e4,e2) != e4
| ( op(e4,e4) = e2
& e4 != unit ) )
& ( op(e4,e3) != e4
| ( op(e4,e4) = e3
& e4 != unit ) )
& ( op(e4,e4) != e4
| ( op(e4,e4) = e4
& e4 != unit ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f9,plain,
( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ( ( ( op(e0,e0) != e0
| ( op(e0,e0) = e0
& e0 != unit ) )
& ( op(e0,e1) != e0
| ( op(e0,e0) = e1
& e0 != unit ) )
& ( op(e0,e2) != e0
| ( op(e0,e0) = e2
& e0 != unit ) )
& ( op(e0,e3) != e0
| ( op(e0,e0) = e3
& e0 != unit ) )
& ( op(e0,e4) != e0
| ( op(e0,e0) = e4
& e0 != unit ) )
& ( op(e1,e0) != e0
| ( op(e1,e0) = e0
& e0 != unit ) )
& ( op(e1,e1) != e0
| ( op(e1,e0) = e1
& e0 != unit ) )
& ( op(e1,e2) != e0
| ( op(e1,e0) = e2
& e0 != unit ) )
& ( op(e1,e3) != e0
| ( op(e1,e0) = e3
& e0 != unit ) )
& ( op(e1,e4) != e0
| ( op(e1,e0) = e4
& e0 != unit ) )
& ( op(e2,e0) != e0
| ( op(e2,e0) = e0
& e0 != unit ) )
& ( op(e2,e1) != e0
| ( op(e2,e0) = e1
& e0 != unit ) )
& ( op(e2,e2) != e0
| ( op(e2,e0) = e2
& e0 != unit ) )
& ( op(e2,e3) != e0
| ( op(e2,e0) = e3
& e0 != unit ) )
& ( op(e2,e4) != e0
| ( op(e2,e0) = e4
& e0 != unit ) )
& ( op(e3,e0) != e0
| ( op(e3,e0) = e0
& e0 != unit ) )
& ( op(e3,e1) != e0
| ( op(e3,e0) = e1
& e0 != unit ) )
& ( op(e3,e2) != e0
| ( op(e3,e0) = e2
& e0 != unit ) )
& ( op(e3,e3) != e0
| ( op(e3,e0) = e3
& e0 != unit ) )
& ( op(e3,e4) != e0
| ( op(e3,e0) = e4
& e0 != unit ) )
& ( op(e4,e0) != e0
| ( op(e4,e0) = e0
& e0 != unit ) )
& ( op(e4,e1) != e0
| ( op(e4,e0) = e1
& e0 != unit ) )
& ( op(e4,e2) != e0
| ( op(e4,e0) = e2
& e0 != unit ) )
& ( op(e4,e3) != e0
| ( op(e4,e0) = e3
& e0 != unit ) )
& ( op(e4,e4) != e0
| ( op(e4,e0) = e4
& e0 != unit ) ) )
| ( ( op(e0,e0) != e1
| ( op(e0,e1) = e0
& e1 != unit ) )
& ( op(e0,e1) != e1
| ( op(e0,e1) = e1
& e1 != unit ) )
& ( op(e0,e2) != e1
| ( op(e0,e1) = e2
& e1 != unit ) )
& ( op(e0,e3) != e1
| ( op(e0,e1) = e3
& e1 != unit ) )
& ( op(e0,e4) != e1
| ( op(e0,e1) = e4
& e1 != unit ) )
& ( op(e1,e0) != e1
| ( op(e1,e1) = e0
& e1 != unit ) )
& ( op(e1,e1) != e1
| ( op(e1,e1) = e1
& e1 != unit ) )
& ( op(e1,e2) != e1
| ( op(e1,e1) = e2
& e1 != unit ) )
& ( op(e1,e3) != e1
| ( op(e1,e1) = e3
& e1 != unit ) )
& ( op(e1,e4) != e1
| ( op(e1,e1) = e4
& e1 != unit ) )
& ( op(e2,e0) != e1
| ( op(e2,e1) = e0
& e1 != unit ) )
& ( op(e2,e1) != e1
| ( op(e2,e1) = e1
& e1 != unit ) )
& ( op(e2,e2) != e1
| ( op(e2,e1) = e2
& e1 != unit ) )
& ( op(e2,e3) != e1
| ( op(e2,e1) = e3
& e1 != unit ) )
& ( op(e2,e4) != e1
| ( op(e2,e1) = e4
& e1 != unit ) )
& ( op(e3,e0) != e1
| ( op(e3,e1) = e0
& e1 != unit ) )
& ( op(e3,e1) != e1
| ( op(e3,e1) = e1
& e1 != unit ) )
& ( op(e3,e2) != e1
| ( op(e3,e1) = e2
& e1 != unit ) )
& ( op(e3,e3) != e1
| ( op(e3,e1) = e3
& e1 != unit ) )
& ( op(e3,e4) != e1
| ( op(e3,e1) = e4
& e1 != unit ) )
& ( op(e4,e0) != e1
| ( op(e4,e1) = e0
& e1 != unit ) )
& ( op(e4,e1) != e1
| ( op(e4,e1) = e1
& e1 != unit ) )
& ( op(e4,e2) != e1
| ( op(e4,e1) = e2
& e1 != unit ) )
& ( op(e4,e3) != e1
| ( op(e4,e1) = e3
& e1 != unit ) )
& ( op(e4,e4) != e1
| ( op(e4,e1) = e4
& e1 != unit ) ) )
| ( ( op(e0,e0) != e2
| ( op(e0,e2) = e0
& e2 != unit ) )
& ( op(e0,e1) != e2
| ( op(e0,e2) = e1
& e2 != unit ) )
& ( op(e0,e2) != e2
| ( op(e0,e2) = e2
& e2 != unit ) )
& ( op(e0,e3) != e2
| ( op(e0,e2) = e3
& e2 != unit ) )
& ( op(e0,e4) != e2
| ( op(e0,e2) = e4
& e2 != unit ) )
& ( op(e1,e0) != e2
| ( op(e1,e2) = e0
& e2 != unit ) )
& ( op(e1,e1) != e2
| ( op(e1,e2) = e1
& e2 != unit ) )
& ( op(e1,e2) != e2
| ( op(e1,e2) = e2
& e2 != unit ) )
& ( op(e1,e3) != e2
| ( op(e1,e2) = e3
& e2 != unit ) )
& ( op(e1,e4) != e2
| ( op(e1,e2) = e4
& e2 != unit ) )
& ( op(e2,e0) != e2
| ( op(e2,e2) = e0
& e2 != unit ) )
& ( op(e2,e1) != e2
| ( op(e2,e2) = e1
& e2 != unit ) )
& ( op(e2,e2) != e2
| ( op(e2,e2) = e2
& e2 != unit ) )
& ( op(e2,e3) != e2
| ( op(e2,e2) = e3
& e2 != unit ) )
& ( op(e2,e4) != e2
| ( op(e2,e2) = e4
& e2 != unit ) )
& ( op(e3,e0) != e2
| ( op(e3,e2) = e0
& e2 != unit ) )
& ( op(e3,e1) != e2
| ( op(e3,e2) = e1
& e2 != unit ) )
& ( op(e3,e2) != e2
| ( op(e3,e2) = e2
& e2 != unit ) )
& ( op(e3,e3) != e2
| ( op(e3,e2) = e3
& e2 != unit ) )
& ( op(e3,e4) != e2
| ( op(e3,e2) = e4
& e2 != unit ) )
& ( op(e4,e0) != e2
| ( op(e4,e2) = e0
& e2 != unit ) )
& ( op(e4,e1) != e2
| ( op(e4,e2) = e1
& e2 != unit ) )
& ( op(e4,e2) != e2
| ( op(e4,e2) = e2
& e2 != unit ) )
& ( op(e4,e3) != e2
| ( op(e4,e2) = e3
& e2 != unit ) )
& ( op(e4,e4) != e2
| ( op(e4,e2) = e4
& e2 != unit ) ) )
| ( ( op(e0,e0) != e3
| ( op(e0,e3) = e0
& e3 != unit ) )
& ( op(e0,e1) != e3
| ( op(e0,e3) = e1
& e3 != unit ) )
& ( op(e0,e2) != e3
| ( op(e0,e3) = e2
& e3 != unit ) )
& ( op(e0,e3) != e3
| ( op(e0,e3) = e3
& e3 != unit ) )
& ( op(e0,e4) != e3
| ( op(e0,e3) = e4
& e3 != unit ) )
& ( op(e1,e0) != e3
| ( op(e1,e3) = e0
& e3 != unit ) )
& ( op(e1,e1) != e3
| ( op(e1,e3) = e1
& e3 != unit ) )
& ( op(e1,e2) != e3
| ( op(e1,e3) = e2
& e3 != unit ) )
& ( op(e1,e3) != e3
| ( op(e1,e3) = e3
& e3 != unit ) )
& ( op(e1,e4) != e3
| ( op(e1,e3) = e4
& e3 != unit ) )
& ( op(e2,e0) != e3
| ( op(e2,e3) = e0
& e3 != unit ) )
& ( op(e2,e1) != e3
| ( op(e2,e3) = e1
& e3 != unit ) )
& ( op(e2,e2) != e3
| ( op(e2,e3) = e2
& e3 != unit ) )
& ( op(e2,e3) != e3
| ( op(e2,e3) = e3
& e3 != unit ) )
& ( op(e2,e4) != e3
| ( op(e2,e3) = e4
& e3 != unit ) )
& ( op(e3,e0) != e3
| ( op(e3,e3) = e0
& e3 != unit ) )
& ( op(e3,e1) != e3
| ( op(e3,e3) = e1
& e3 != unit ) )
& ( op(e3,e2) != e3
| ( op(e3,e3) = e2
& e3 != unit ) )
& ( op(e3,e3) != e3
| ( op(e3,e3) = e3
& e3 != unit ) )
& ( op(e3,e4) != e3
| ( op(e3,e3) = e4
& e3 != unit ) )
& ( op(e4,e0) != e3
| ( op(e4,e3) = e0
& e3 != unit ) )
& ( op(e4,e1) != e3
| ( op(e4,e3) = e1
& e3 != unit ) )
& ( op(e4,e2) != e3
| ( op(e4,e3) = e2
& e3 != unit ) )
& ( op(e4,e3) != e3
| ( op(e4,e3) = e3
& e3 != unit ) )
& ( op(e4,e4) != e3
| ( op(e4,e3) = e4
& e3 != unit ) ) )
| ( ( op(e0,e0) != e4
| ( op(e0,e4) = e0
& e4 != unit ) )
& ( op(e0,e1) != e4
| ( op(e0,e4) = e1
& e4 != unit ) )
& ( op(e0,e2) != e4
| ( op(e0,e4) = e2
& e4 != unit ) )
& ( op(e0,e3) != e4
| ( op(e0,e4) = e3
& e4 != unit ) )
& ( op(e0,e4) != e4
| ( op(e0,e4) = e4
& e4 != unit ) )
& ( op(e1,e0) != e4
| ( op(e1,e4) = e0
& e4 != unit ) )
& ( op(e1,e1) != e4
| ( op(e1,e4) = e1
& e4 != unit ) )
& ( op(e1,e2) != e4
| ( op(e1,e4) = e2
& e4 != unit ) )
& ( op(e1,e3) != e4
| ( op(e1,e4) = e3
& e4 != unit ) )
& ( op(e1,e4) != e4
| ( op(e1,e4) = e4
& e4 != unit ) )
& ( op(e2,e0) != e4
| ( op(e2,e4) = e0
& e4 != unit ) )
& ( op(e2,e1) != e4
| ( op(e2,e4) = e1
& e4 != unit ) )
& ( op(e2,e2) != e4
| ( op(e2,e4) = e2
& e4 != unit ) )
& ( op(e2,e3) != e4
| ( op(e2,e4) = e3
& e4 != unit ) )
& ( op(e2,e4) != e4
| ( op(e2,e4) = e4
& e4 != unit ) )
& ( op(e3,e0) != e4
| ( op(e3,e4) = e0
& e4 != unit ) )
& ( op(e3,e1) != e4
| ( op(e3,e4) = e1
& e4 != unit ) )
& ( op(e3,e2) != e4
| ( op(e3,e4) = e2
& e4 != unit ) )
& ( op(e3,e3) != e4
| ( op(e3,e4) = e3
& e4 != unit ) )
& ( op(e3,e4) != e4
| ( op(e3,e4) = e4
& e4 != unit ) )
& ( op(e4,e0) != e4
| ( op(e4,e4) = e0
& e4 != unit ) )
& ( op(e4,e1) != e4
| ( op(e4,e4) = e1
& e4 != unit ) )
& ( op(e4,e2) != e4
| ( op(e4,e4) = e2
& e4 != unit ) )
& ( op(e4,e3) != e4
| ( op(e4,e4) = e3
& e4 != unit ) )
& ( op(e4,e4) != e4
| ( op(e4,e4) = e4
& e4 != unit ) ) ) ) ),
inference(flattening,[],[f8]) ).
fof(f10,definition,
( op(e4,e4) != e4
| ( op(e4,e4) = e4
& e4 != unit )
| ~ sP0 ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f11,definition,
( op(e4,e3) != e4
| ( op(e4,e4) = e3
& e4 != unit )
| ~ sP1 ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f12,definition,
( op(e4,e2) != e4
| ( op(e4,e4) = e2
& e4 != unit )
| ~ sP2 ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f13,definition,
( op(e4,e1) != e4
| ( op(e4,e4) = e1
& e4 != unit )
| ~ sP3 ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f14,definition,
( op(e4,e0) != e4
| ( op(e4,e4) = e0
& e4 != unit )
| ~ sP4 ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f15,definition,
( op(e3,e4) != e4
| ( op(e3,e4) = e4
& e4 != unit )
| ~ sP5 ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f16,definition,
( op(e3,e3) != e4
| ( op(e3,e4) = e3
& e4 != unit )
| ~ sP6 ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f17,definition,
( op(e3,e2) != e4
| ( op(e3,e4) = e2
& e4 != unit )
| ~ sP7 ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f18,definition,
( op(e3,e1) != e4
| ( op(e3,e4) = e1
& e4 != unit )
| ~ sP8 ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f19,definition,
( op(e3,e0) != e4
| ( op(e3,e4) = e0
& e4 != unit )
| ~ sP9 ),
introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).
fof(f20,definition,
( op(e2,e4) != e4
| ( op(e2,e4) = e4
& e4 != unit )
| ~ sP10 ),
introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).
fof(f21,definition,
( op(e2,e3) != e4
| ( op(e2,e4) = e3
& e4 != unit )
| ~ sP11 ),
introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).
fof(f22,definition,
( op(e2,e2) != e4
| ( op(e2,e4) = e2
& e4 != unit )
| ~ sP12 ),
introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).
fof(f23,definition,
( op(e2,e1) != e4
| ( op(e2,e4) = e1
& e4 != unit )
| ~ sP13 ),
introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).
fof(f24,definition,
( op(e2,e0) != e4
| ( op(e2,e4) = e0
& e4 != unit )
| ~ sP14 ),
introduced(definition,[new_symbols(definition,[sP14])],[predicate_definition_introduction]) ).
fof(f25,definition,
( op(e1,e4) != e4
| ( op(e1,e4) = e4
& e4 != unit )
| ~ sP15 ),
introduced(definition,[new_symbols(definition,[sP15])],[predicate_definition_introduction]) ).
fof(f26,definition,
( op(e1,e3) != e4
| ( op(e1,e4) = e3
& e4 != unit )
| ~ sP16 ),
introduced(definition,[new_symbols(definition,[sP16])],[predicate_definition_introduction]) ).
fof(f27,definition,
( op(e1,e2) != e4
| ( op(e1,e4) = e2
& e4 != unit )
| ~ sP17 ),
introduced(definition,[new_symbols(definition,[sP17])],[predicate_definition_introduction]) ).
fof(f28,definition,
( op(e1,e1) != e4
| ( op(e1,e4) = e1
& e4 != unit )
| ~ sP18 ),
introduced(definition,[new_symbols(definition,[sP18])],[predicate_definition_introduction]) ).
fof(f29,definition,
( op(e1,e0) != e4
| ( op(e1,e4) = e0
& e4 != unit )
| ~ sP19 ),
introduced(definition,[new_symbols(definition,[sP19])],[predicate_definition_introduction]) ).
fof(f30,definition,
( op(e0,e4) != e4
| ( op(e0,e4) = e4
& e4 != unit )
| ~ sP20 ),
introduced(definition,[new_symbols(definition,[sP20])],[predicate_definition_introduction]) ).
fof(f31,definition,
( op(e0,e3) != e4
| ( op(e0,e4) = e3
& e4 != unit )
| ~ sP21 ),
introduced(definition,[new_symbols(definition,[sP21])],[predicate_definition_introduction]) ).
fof(f32,definition,
( op(e0,e2) != e4
| ( op(e0,e4) = e2
& e4 != unit )
| ~ sP22 ),
introduced(definition,[new_symbols(definition,[sP22])],[predicate_definition_introduction]) ).
fof(f33,definition,
( op(e0,e1) != e4
| ( op(e0,e4) = e1
& e4 != unit )
| ~ sP23 ),
introduced(definition,[new_symbols(definition,[sP23])],[predicate_definition_introduction]) ).
fof(f34,definition,
( op(e0,e0) != e4
| ( op(e0,e4) = e0
& e4 != unit )
| ~ sP24 ),
introduced(definition,[new_symbols(definition,[sP24])],[predicate_definition_introduction]) ).
fof(f35,definition,
( op(e4,e4) != e3
| ( op(e4,e3) = e4
& e3 != unit )
| ~ sP25 ),
introduced(definition,[new_symbols(definition,[sP25])],[predicate_definition_introduction]) ).
fof(f36,definition,
( op(e4,e3) != e3
| ( op(e4,e3) = e3
& e3 != unit )
| ~ sP26 ),
introduced(definition,[new_symbols(definition,[sP26])],[predicate_definition_introduction]) ).
fof(f37,definition,
( op(e4,e2) != e3
| ( op(e4,e3) = e2
& e3 != unit )
| ~ sP27 ),
introduced(definition,[new_symbols(definition,[sP27])],[predicate_definition_introduction]) ).
fof(f38,definition,
( op(e4,e1) != e3
| ( op(e4,e3) = e1
& e3 != unit )
| ~ sP28 ),
introduced(definition,[new_symbols(definition,[sP28])],[predicate_definition_introduction]) ).
fof(f39,definition,
( op(e4,e0) != e3
| ( op(e4,e3) = e0
& e3 != unit )
| ~ sP29 ),
introduced(definition,[new_symbols(definition,[sP29])],[predicate_definition_introduction]) ).
fof(f40,definition,
( op(e3,e4) != e3
| ( op(e3,e3) = e4
& e3 != unit )
| ~ sP30 ),
introduced(definition,[new_symbols(definition,[sP30])],[predicate_definition_introduction]) ).
fof(f41,definition,
( op(e3,e3) != e3
| ( op(e3,e3) = e3
& e3 != unit )
| ~ sP31 ),
introduced(definition,[new_symbols(definition,[sP31])],[predicate_definition_introduction]) ).
fof(f42,definition,
( op(e3,e2) != e3
| ( op(e3,e3) = e2
& e3 != unit )
| ~ sP32 ),
introduced(definition,[new_symbols(definition,[sP32])],[predicate_definition_introduction]) ).
fof(f43,definition,
( op(e3,e1) != e3
| ( op(e3,e3) = e1
& e3 != unit )
| ~ sP33 ),
introduced(definition,[new_symbols(definition,[sP33])],[predicate_definition_introduction]) ).
fof(f44,definition,
( op(e3,e0) != e3
| ( op(e3,e3) = e0
& e3 != unit )
| ~ sP34 ),
introduced(definition,[new_symbols(definition,[sP34])],[predicate_definition_introduction]) ).
fof(f45,definition,
( op(e2,e4) != e3
| ( op(e2,e3) = e4
& e3 != unit )
| ~ sP35 ),
introduced(definition,[new_symbols(definition,[sP35])],[predicate_definition_introduction]) ).
fof(f46,definition,
( op(e2,e3) != e3
| ( op(e2,e3) = e3
& e3 != unit )
| ~ sP36 ),
introduced(definition,[new_symbols(definition,[sP36])],[predicate_definition_introduction]) ).
fof(f47,definition,
( op(e2,e2) != e3
| ( op(e2,e3) = e2
& e3 != unit )
| ~ sP37 ),
introduced(definition,[new_symbols(definition,[sP37])],[predicate_definition_introduction]) ).
fof(f48,definition,
( op(e2,e1) != e3
| ( op(e2,e3) = e1
& e3 != unit )
| ~ sP38 ),
introduced(definition,[new_symbols(definition,[sP38])],[predicate_definition_introduction]) ).
fof(f49,definition,
( op(e2,e0) != e3
| ( op(e2,e3) = e0
& e3 != unit )
| ~ sP39 ),
introduced(definition,[new_symbols(definition,[sP39])],[predicate_definition_introduction]) ).
fof(f50,definition,
( op(e1,e4) != e3
| ( op(e1,e3) = e4
& e3 != unit )
| ~ sP40 ),
introduced(definition,[new_symbols(definition,[sP40])],[predicate_definition_introduction]) ).
fof(f51,definition,
( op(e1,e3) != e3
| ( op(e1,e3) = e3
& e3 != unit )
| ~ sP41 ),
introduced(definition,[new_symbols(definition,[sP41])],[predicate_definition_introduction]) ).
fof(f52,definition,
( op(e1,e2) != e3
| ( op(e1,e3) = e2
& e3 != unit )
| ~ sP42 ),
introduced(definition,[new_symbols(definition,[sP42])],[predicate_definition_introduction]) ).
fof(f53,definition,
( op(e1,e1) != e3
| ( op(e1,e3) = e1
& e3 != unit )
| ~ sP43 ),
introduced(definition,[new_symbols(definition,[sP43])],[predicate_definition_introduction]) ).
fof(f54,definition,
( op(e1,e0) != e3
| ( op(e1,e3) = e0
& e3 != unit )
| ~ sP44 ),
introduced(definition,[new_symbols(definition,[sP44])],[predicate_definition_introduction]) ).
fof(f55,definition,
( op(e0,e4) != e3
| ( op(e0,e3) = e4
& e3 != unit )
| ~ sP45 ),
introduced(definition,[new_symbols(definition,[sP45])],[predicate_definition_introduction]) ).
fof(f56,definition,
( op(e0,e3) != e3
| ( op(e0,e3) = e3
& e3 != unit )
| ~ sP46 ),
introduced(definition,[new_symbols(definition,[sP46])],[predicate_definition_introduction]) ).
fof(f57,definition,
( op(e0,e2) != e3
| ( op(e0,e3) = e2
& e3 != unit )
| ~ sP47 ),
introduced(definition,[new_symbols(definition,[sP47])],[predicate_definition_introduction]) ).
fof(f58,definition,
( op(e0,e1) != e3
| ( op(e0,e3) = e1
& e3 != unit )
| ~ sP48 ),
introduced(definition,[new_symbols(definition,[sP48])],[predicate_definition_introduction]) ).
fof(f59,definition,
( op(e0,e0) != e3
| ( op(e0,e3) = e0
& e3 != unit )
| ~ sP49 ),
introduced(definition,[new_symbols(definition,[sP49])],[predicate_definition_introduction]) ).
fof(f60,definition,
( op(e4,e4) != e2
| ( op(e4,e2) = e4
& e2 != unit )
| ~ sP50 ),
introduced(definition,[new_symbols(definition,[sP50])],[predicate_definition_introduction]) ).
fof(f61,definition,
( op(e4,e3) != e2
| ( op(e4,e2) = e3
& e2 != unit )
| ~ sP51 ),
introduced(definition,[new_symbols(definition,[sP51])],[predicate_definition_introduction]) ).
fof(f62,definition,
( op(e4,e2) != e2
| ( op(e4,e2) = e2
& e2 != unit )
| ~ sP52 ),
introduced(definition,[new_symbols(definition,[sP52])],[predicate_definition_introduction]) ).
fof(f63,definition,
( op(e4,e1) != e2
| ( op(e4,e2) = e1
& e2 != unit )
| ~ sP53 ),
introduced(definition,[new_symbols(definition,[sP53])],[predicate_definition_introduction]) ).
fof(f64,definition,
( op(e4,e0) != e2
| ( op(e4,e2) = e0
& e2 != unit )
| ~ sP54 ),
introduced(definition,[new_symbols(definition,[sP54])],[predicate_definition_introduction]) ).
fof(f65,definition,
( op(e3,e4) != e2
| ( op(e3,e2) = e4
& e2 != unit )
| ~ sP55 ),
introduced(definition,[new_symbols(definition,[sP55])],[predicate_definition_introduction]) ).
fof(f66,definition,
( op(e3,e3) != e2
| ( op(e3,e2) = e3
& e2 != unit )
| ~ sP56 ),
introduced(definition,[new_symbols(definition,[sP56])],[predicate_definition_introduction]) ).
fof(f67,definition,
( op(e3,e2) != e2
| ( op(e3,e2) = e2
& e2 != unit )
| ~ sP57 ),
introduced(definition,[new_symbols(definition,[sP57])],[predicate_definition_introduction]) ).
fof(f68,definition,
( op(e3,e1) != e2
| ( op(e3,e2) = e1
& e2 != unit )
| ~ sP58 ),
introduced(definition,[new_symbols(definition,[sP58])],[predicate_definition_introduction]) ).
fof(f69,definition,
( op(e3,e0) != e2
| ( op(e3,e2) = e0
& e2 != unit )
| ~ sP59 ),
introduced(definition,[new_symbols(definition,[sP59])],[predicate_definition_introduction]) ).
fof(f70,definition,
( op(e2,e4) != e2
| ( op(e2,e2) = e4
& e2 != unit )
| ~ sP60 ),
introduced(definition,[new_symbols(definition,[sP60])],[predicate_definition_introduction]) ).
fof(f71,definition,
( op(e2,e3) != e2
| ( op(e2,e2) = e3
& e2 != unit )
| ~ sP61 ),
introduced(definition,[new_symbols(definition,[sP61])],[predicate_definition_introduction]) ).
fof(f72,definition,
( op(e2,e2) != e2
| ( op(e2,e2) = e2
& e2 != unit )
| ~ sP62 ),
introduced(definition,[new_symbols(definition,[sP62])],[predicate_definition_introduction]) ).
fof(f73,definition,
( op(e2,e1) != e2
| ( op(e2,e2) = e1
& e2 != unit )
| ~ sP63 ),
introduced(definition,[new_symbols(definition,[sP63])],[predicate_definition_introduction]) ).
fof(f74,definition,
( op(e2,e0) != e2
| ( op(e2,e2) = e0
& e2 != unit )
| ~ sP64 ),
introduced(definition,[new_symbols(definition,[sP64])],[predicate_definition_introduction]) ).
fof(f75,definition,
( op(e1,e4) != e2
| ( op(e1,e2) = e4
& e2 != unit )
| ~ sP65 ),
introduced(definition,[new_symbols(definition,[sP65])],[predicate_definition_introduction]) ).
fof(f76,definition,
( op(e1,e3) != e2
| ( op(e1,e2) = e3
& e2 != unit )
| ~ sP66 ),
introduced(definition,[new_symbols(definition,[sP66])],[predicate_definition_introduction]) ).
fof(f77,definition,
( op(e1,e2) != e2
| ( op(e1,e2) = e2
& e2 != unit )
| ~ sP67 ),
introduced(definition,[new_symbols(definition,[sP67])],[predicate_definition_introduction]) ).
fof(f78,definition,
( op(e1,e1) != e2
| ( op(e1,e2) = e1
& e2 != unit )
| ~ sP68 ),
introduced(definition,[new_symbols(definition,[sP68])],[predicate_definition_introduction]) ).
fof(f79,definition,
( op(e1,e0) != e2
| ( op(e1,e2) = e0
& e2 != unit )
| ~ sP69 ),
introduced(definition,[new_symbols(definition,[sP69])],[predicate_definition_introduction]) ).
fof(f80,definition,
( op(e0,e4) != e2
| ( op(e0,e2) = e4
& e2 != unit )
| ~ sP70 ),
introduced(definition,[new_symbols(definition,[sP70])],[predicate_definition_introduction]) ).
fof(f81,definition,
( op(e0,e3) != e2
| ( op(e0,e2) = e3
& e2 != unit )
| ~ sP71 ),
introduced(definition,[new_symbols(definition,[sP71])],[predicate_definition_introduction]) ).
fof(f82,definition,
( op(e0,e2) != e2
| ( op(e0,e2) = e2
& e2 != unit )
| ~ sP72 ),
introduced(definition,[new_symbols(definition,[sP72])],[predicate_definition_introduction]) ).
fof(f83,definition,
( op(e0,e1) != e2
| ( op(e0,e2) = e1
& e2 != unit )
| ~ sP73 ),
introduced(definition,[new_symbols(definition,[sP73])],[predicate_definition_introduction]) ).
fof(f84,definition,
( op(e0,e0) != e2
| ( op(e0,e2) = e0
& e2 != unit )
| ~ sP74 ),
introduced(definition,[new_symbols(definition,[sP74])],[predicate_definition_introduction]) ).
fof(f85,definition,
( op(e4,e4) != e1
| ( op(e4,e1) = e4
& e1 != unit )
| ~ sP75 ),
introduced(definition,[new_symbols(definition,[sP75])],[predicate_definition_introduction]) ).
fof(f86,definition,
( op(e4,e3) != e1
| ( op(e4,e1) = e3
& e1 != unit )
| ~ sP76 ),
introduced(definition,[new_symbols(definition,[sP76])],[predicate_definition_introduction]) ).
fof(f87,definition,
( op(e4,e2) != e1
| ( op(e4,e1) = e2
& e1 != unit )
| ~ sP77 ),
introduced(definition,[new_symbols(definition,[sP77])],[predicate_definition_introduction]) ).
fof(f88,definition,
( op(e4,e1) != e1
| ( op(e4,e1) = e1
& e1 != unit )
| ~ sP78 ),
introduced(definition,[new_symbols(definition,[sP78])],[predicate_definition_introduction]) ).
fof(f89,definition,
( op(e4,e0) != e1
| ( op(e4,e1) = e0
& e1 != unit )
| ~ sP79 ),
introduced(definition,[new_symbols(definition,[sP79])],[predicate_definition_introduction]) ).
fof(f90,definition,
( op(e3,e4) != e1
| ( op(e3,e1) = e4
& e1 != unit )
| ~ sP80 ),
introduced(definition,[new_symbols(definition,[sP80])],[predicate_definition_introduction]) ).
fof(f91,definition,
( op(e3,e3) != e1
| ( op(e3,e1) = e3
& e1 != unit )
| ~ sP81 ),
introduced(definition,[new_symbols(definition,[sP81])],[predicate_definition_introduction]) ).
fof(f92,definition,
( op(e3,e2) != e1
| ( op(e3,e1) = e2
& e1 != unit )
| ~ sP82 ),
introduced(definition,[new_symbols(definition,[sP82])],[predicate_definition_introduction]) ).
fof(f93,definition,
( op(e3,e1) != e1
| ( op(e3,e1) = e1
& e1 != unit )
| ~ sP83 ),
introduced(definition,[new_symbols(definition,[sP83])],[predicate_definition_introduction]) ).
fof(f94,definition,
( op(e3,e0) != e1
| ( op(e3,e1) = e0
& e1 != unit )
| ~ sP84 ),
introduced(definition,[new_symbols(definition,[sP84])],[predicate_definition_introduction]) ).
fof(f95,definition,
( op(e2,e4) != e1
| ( op(e2,e1) = e4
& e1 != unit )
| ~ sP85 ),
introduced(definition,[new_symbols(definition,[sP85])],[predicate_definition_introduction]) ).
fof(f96,definition,
( op(e2,e3) != e1
| ( op(e2,e1) = e3
& e1 != unit )
| ~ sP86 ),
introduced(definition,[new_symbols(definition,[sP86])],[predicate_definition_introduction]) ).
fof(f97,definition,
( op(e2,e2) != e1
| ( op(e2,e1) = e2
& e1 != unit )
| ~ sP87 ),
introduced(definition,[new_symbols(definition,[sP87])],[predicate_definition_introduction]) ).
fof(f98,definition,
( op(e2,e1) != e1
| ( op(e2,e1) = e1
& e1 != unit )
| ~ sP88 ),
introduced(definition,[new_symbols(definition,[sP88])],[predicate_definition_introduction]) ).
fof(f99,definition,
( op(e2,e0) != e1
| ( op(e2,e1) = e0
& e1 != unit )
| ~ sP89 ),
introduced(definition,[new_symbols(definition,[sP89])],[predicate_definition_introduction]) ).
fof(f100,definition,
( op(e1,e4) != e1
| ( op(e1,e1) = e4
& e1 != unit )
| ~ sP90 ),
introduced(definition,[new_symbols(definition,[sP90])],[predicate_definition_introduction]) ).
fof(f101,definition,
( op(e1,e3) != e1
| ( op(e1,e1) = e3
& e1 != unit )
| ~ sP91 ),
introduced(definition,[new_symbols(definition,[sP91])],[predicate_definition_introduction]) ).
fof(f102,definition,
( op(e1,e2) != e1
| ( op(e1,e1) = e2
& e1 != unit )
| ~ sP92 ),
introduced(definition,[new_symbols(definition,[sP92])],[predicate_definition_introduction]) ).
fof(f103,definition,
( op(e1,e1) != e1
| ( op(e1,e1) = e1
& e1 != unit )
| ~ sP93 ),
introduced(definition,[new_symbols(definition,[sP93])],[predicate_definition_introduction]) ).
fof(f104,definition,
( op(e1,e0) != e1
| ( op(e1,e1) = e0
& e1 != unit )
| ~ sP94 ),
introduced(definition,[new_symbols(definition,[sP94])],[predicate_definition_introduction]) ).
fof(f105,definition,
( op(e0,e4) != e1
| ( op(e0,e1) = e4
& e1 != unit )
| ~ sP95 ),
introduced(definition,[new_symbols(definition,[sP95])],[predicate_definition_introduction]) ).
fof(f106,definition,
( op(e0,e3) != e1
| ( op(e0,e1) = e3
& e1 != unit )
| ~ sP96 ),
introduced(definition,[new_symbols(definition,[sP96])],[predicate_definition_introduction]) ).
fof(f107,definition,
( op(e0,e2) != e1
| ( op(e0,e1) = e2
& e1 != unit )
| ~ sP97 ),
introduced(definition,[new_symbols(definition,[sP97])],[predicate_definition_introduction]) ).
fof(f108,definition,
( op(e0,e1) != e1
| ( op(e0,e1) = e1
& e1 != unit )
| ~ sP98 ),
introduced(definition,[new_symbols(definition,[sP98])],[predicate_definition_introduction]) ).
fof(f109,definition,
( op(e0,e0) != e1
| ( op(e0,e1) = e0
& e1 != unit )
| ~ sP99 ),
introduced(definition,[new_symbols(definition,[sP99])],[predicate_definition_introduction]) ).
fof(f110,definition,
( op(e4,e4) != e0
| ( op(e4,e0) = e4
& e0 != unit )
| ~ sP100 ),
introduced(definition,[new_symbols(definition,[sP100])],[predicate_definition_introduction]) ).
fof(f111,definition,
( op(e4,e3) != e0
| ( op(e4,e0) = e3
& e0 != unit )
| ~ sP101 ),
introduced(definition,[new_symbols(definition,[sP101])],[predicate_definition_introduction]) ).
fof(f112,definition,
( op(e4,e2) != e0
| ( op(e4,e0) = e2
& e0 != unit )
| ~ sP102 ),
introduced(definition,[new_symbols(definition,[sP102])],[predicate_definition_introduction]) ).
fof(f113,definition,
( op(e4,e1) != e0
| ( op(e4,e0) = e1
& e0 != unit )
| ~ sP103 ),
introduced(definition,[new_symbols(definition,[sP103])],[predicate_definition_introduction]) ).
fof(f114,definition,
( op(e4,e0) != e0
| ( op(e4,e0) = e0
& e0 != unit )
| ~ sP104 ),
introduced(definition,[new_symbols(definition,[sP104])],[predicate_definition_introduction]) ).
fof(f115,definition,
( op(e3,e4) != e0
| ( op(e3,e0) = e4
& e0 != unit )
| ~ sP105 ),
introduced(definition,[new_symbols(definition,[sP105])],[predicate_definition_introduction]) ).
fof(f116,definition,
( op(e3,e3) != e0
| ( op(e3,e0) = e3
& e0 != unit )
| ~ sP106 ),
introduced(definition,[new_symbols(definition,[sP106])],[predicate_definition_introduction]) ).
fof(f117,definition,
( op(e3,e2) != e0
| ( op(e3,e0) = e2
& e0 != unit )
| ~ sP107 ),
introduced(definition,[new_symbols(definition,[sP107])],[predicate_definition_introduction]) ).
fof(f118,definition,
( op(e3,e1) != e0
| ( op(e3,e0) = e1
& e0 != unit )
| ~ sP108 ),
introduced(definition,[new_symbols(definition,[sP108])],[predicate_definition_introduction]) ).
fof(f119,definition,
( op(e3,e0) != e0
| ( op(e3,e0) = e0
& e0 != unit )
| ~ sP109 ),
introduced(definition,[new_symbols(definition,[sP109])],[predicate_definition_introduction]) ).
fof(f120,definition,
( op(e2,e4) != e0
| ( op(e2,e0) = e4
& e0 != unit )
| ~ sP110 ),
introduced(definition,[new_symbols(definition,[sP110])],[predicate_definition_introduction]) ).
fof(f121,definition,
( op(e2,e3) != e0
| ( op(e2,e0) = e3
& e0 != unit )
| ~ sP111 ),
introduced(definition,[new_symbols(definition,[sP111])],[predicate_definition_introduction]) ).
fof(f122,definition,
( op(e2,e2) != e0
| ( op(e2,e0) = e2
& e0 != unit )
| ~ sP112 ),
introduced(definition,[new_symbols(definition,[sP112])],[predicate_definition_introduction]) ).
fof(f123,definition,
( op(e2,e1) != e0
| ( op(e2,e0) = e1
& e0 != unit )
| ~ sP113 ),
introduced(definition,[new_symbols(definition,[sP113])],[predicate_definition_introduction]) ).
fof(f124,definition,
( op(e2,e0) != e0
| ( op(e2,e0) = e0
& e0 != unit )
| ~ sP114 ),
introduced(definition,[new_symbols(definition,[sP114])],[predicate_definition_introduction]) ).
fof(f125,definition,
( op(e1,e4) != e0
| ( op(e1,e0) = e4
& e0 != unit )
| ~ sP115 ),
introduced(definition,[new_symbols(definition,[sP115])],[predicate_definition_introduction]) ).
fof(f126,definition,
( op(e1,e3) != e0
| ( op(e1,e0) = e3
& e0 != unit )
| ~ sP116 ),
introduced(definition,[new_symbols(definition,[sP116])],[predicate_definition_introduction]) ).
fof(f127,definition,
( op(e1,e2) != e0
| ( op(e1,e0) = e2
& e0 != unit )
| ~ sP117 ),
introduced(definition,[new_symbols(definition,[sP117])],[predicate_definition_introduction]) ).
fof(f128,definition,
( op(e1,e1) != e0
| ( op(e1,e0) = e1
& e0 != unit )
| ~ sP118 ),
introduced(definition,[new_symbols(definition,[sP118])],[predicate_definition_introduction]) ).
fof(f129,definition,
( op(e1,e0) != e0
| ( op(e1,e0) = e0
& e0 != unit )
| ~ sP119 ),
introduced(definition,[new_symbols(definition,[sP119])],[predicate_definition_introduction]) ).
fof(f130,definition,
( op(e0,e4) != e0
| ( op(e0,e0) = e4
& e0 != unit )
| ~ sP120 ),
introduced(definition,[new_symbols(definition,[sP120])],[predicate_definition_introduction]) ).
fof(f131,definition,
( op(e0,e3) != e0
| ( op(e0,e0) = e3
& e0 != unit )
| ~ sP121 ),
introduced(definition,[new_symbols(definition,[sP121])],[predicate_definition_introduction]) ).
fof(f132,definition,
( op(e0,e2) != e0
| ( op(e0,e0) = e2
& e0 != unit )
| ~ sP122 ),
introduced(definition,[new_symbols(definition,[sP122])],[predicate_definition_introduction]) ).
fof(f133,definition,
( op(e0,e1) != e0
| ( op(e0,e0) = e1
& e0 != unit )
| ~ sP123 ),
introduced(definition,[new_symbols(definition,[sP123])],[predicate_definition_introduction]) ).
fof(f134,definition,
( op(e0,e0) != e0
| ( op(e0,e0) = e0
& e0 != unit )
| ~ sP124 ),
introduced(definition,[new_symbols(definition,[sP124])],[predicate_definition_introduction]) ).
fof(f135,definition,
( ( sP24
& sP23
& sP22
& sP21
& sP20
& sP19
& sP18
& sP17
& sP16
& sP15
& sP14
& sP13
& sP12
& sP11
& sP10
& sP9
& sP8
& sP7
& sP6
& sP5
& sP4
& sP3
& sP2
& sP1
& sP0 )
| ~ sP125 ),
introduced(definition,[new_symbols(definition,[sP125])],[predicate_definition_introduction]) ).
fof(f136,definition,
( ( 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 )
| ~ sP126 ),
introduced(definition,[new_symbols(definition,[sP126])],[predicate_definition_introduction]) ).
fof(f137,definition,
( ( sP74
& sP73
& sP72
& sP71
& sP70
& sP69
& sP68
& sP67
& sP66
& sP65
& sP64
& sP63
& sP62
& sP61
& sP60
& sP59
& sP58
& sP57
& sP56
& sP55
& sP54
& sP53
& sP52
& sP51
& sP50 )
| ~ sP127 ),
introduced(definition,[new_symbols(definition,[sP127])],[predicate_definition_introduction]) ).
fof(f138,definition,
( ( sP99
& sP98
& sP97
& sP96
& sP95
& sP94
& sP93
& sP92
& sP91
& sP90
& sP89
& sP88
& sP87
& sP86
& sP85
& sP84
& sP83
& sP82
& sP81
& sP80
& sP79
& sP78
& sP77
& sP76
& sP75 )
| ~ sP128 ),
introduced(definition,[new_symbols(definition,[sP128])],[predicate_definition_introduction]) ).
fof(f139,definition,
( ( sP124
& sP123
& sP122
& sP121
& sP120
& sP119
& sP118
& sP117
& sP116
& sP115
& sP114
& sP113
& sP112
& sP111
& sP110
& sP109
& sP108
& sP107
& sP106
& sP105
& sP104
& sP103
& sP102
& sP101
& sP100 )
| ~ sP129 ),
introduced(definition,[new_symbols(definition,[sP129])],[predicate_definition_introduction]) ).
fof(f140,plain,
( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ( sP129
| sP128
| sP127
| sP126
| sP125 ) ),
inference(definition_folding,[],[f9,f139,f138,f137,f136,f135,f134,f133,f132,f131,f130,f129,f128,f127,f126,f125,f124,f123,f122,f121,f120,f119,f118,f117,f116,f115,f114,f113,f112,f111,f110,f109,f108,f107,f106,f105,f104,f103,f102,f101,f100,f99,f98,f97,f96,f95,f94,f93,f92,f91,f90,f89,f88,f87,f86,f85,f84,f83,f82,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,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]) ).
fof(f141,plain,
( ( sP124
& sP123
& sP122
& sP121
& sP120
& sP119
& sP118
& sP117
& sP116
& sP115
& sP114
& sP113
& sP112
& sP111
& sP110
& sP109
& sP108
& sP107
& sP106
& sP105
& sP104
& sP103
& sP102
& sP101
& sP100 )
| ~ sP129 ),
inference(nnf_transformation,[],[f139]) ).
fof(f142,plain,
( ( sP99
& sP98
& sP97
& sP96
& sP95
& sP94
& sP93
& sP92
& sP91
& sP90
& sP89
& sP88
& sP87
& sP86
& sP85
& sP84
& sP83
& sP82
& sP81
& sP80
& sP79
& sP78
& sP77
& sP76
& sP75 )
| ~ sP128 ),
inference(nnf_transformation,[],[f138]) ).
fof(f143,plain,
( ( sP74
& sP73
& sP72
& sP71
& sP70
& sP69
& sP68
& sP67
& sP66
& sP65
& sP64
& sP63
& sP62
& sP61
& sP60
& sP59
& sP58
& sP57
& sP56
& sP55
& sP54
& sP53
& sP52
& sP51
& sP50 )
| ~ sP127 ),
inference(nnf_transformation,[],[f137]) ).
fof(f144,plain,
( ( 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 )
| ~ sP126 ),
inference(nnf_transformation,[],[f136]) ).
fof(f145,plain,
( ( sP24
& sP23
& sP22
& sP21
& sP20
& sP19
& sP18
& sP17
& sP16
& sP15
& sP14
& sP13
& sP12
& sP11
& sP10
& sP9
& sP8
& sP7
& sP6
& sP5
& sP4
& sP3
& sP2
& sP1
& sP0 )
| ~ sP125 ),
inference(nnf_transformation,[],[f135]) ).
fof(f149,plain,
( op(e0,e3) != e0
| ( op(e0,e0) = e3
& e0 != unit )
| ~ sP121 ),
inference(nnf_transformation,[],[f131]) ).
fof(f153,plain,
( op(e1,e2) != e0
| ( op(e1,e0) = e2
& e0 != unit )
| ~ sP117 ),
inference(nnf_transformation,[],[f127]) ).
fof(f176,plain,
( op(e1,e0) != e1
| ( op(e1,e1) = e0
& e1 != unit )
| ~ sP94 ),
inference(nnf_transformation,[],[f104]) ).
fof(f179,plain,
( op(e1,e3) != e1
| ( op(e1,e1) = e3
& e1 != unit )
| ~ sP91 ),
inference(nnf_transformation,[],[f101]) ).
fof(f206,plain,
( op(e2,e0) != e2
| ( op(e2,e2) = e0
& e2 != unit )
| ~ sP64 ),
inference(nnf_transformation,[],[f74]) ).
fof(f236,plain,
( op(e3,e0) != e3
| ( op(e3,e3) = e0
& e3 != unit )
| ~ sP34 ),
inference(nnf_transformation,[],[f44]) ).
fof(f266,plain,
( op(e4,e0) != e4
| ( op(e4,e4) = e0
& e4 != unit )
| ~ sP4 ),
inference(nnf_transformation,[],[f14]) ).
fof(f296,plain,
( e0 = unit
| e1 = unit
| e2 = unit
| e3 = unit
| e4 = unit ),
inference(cnf_transformation,[],[f2]) ).
fof(f297,plain,
e4 = op(e4,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f299,plain,
e3 = op(e3,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f300,plain,
e3 = op(unit,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f301,plain,
e2 = op(e2,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f303,plain,
e1 = op(e1,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f305,plain,
e0 = op(e0,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f361,plain,
op(e4,e1) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f362,plain,
op(e4,e1) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f364,plain,
op(e4,e0) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f365,plain,
op(e4,e0) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f366,plain,
op(e4,e0) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f368,plain,
op(e3,e2) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f373,plain,
op(e3,e0) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f377,plain,
op(e2,e3) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f429,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f440,plain,
op(e1,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f444,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f456,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f467,plain,
e4 = op(e1,e1),
inference(cnf_transformation,[],[f6]) ).
fof(f468,plain,
e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
inference(cnf_transformation,[],[f6]) ).
fof(f469,plain,
e2 = op(op(e1,e1),op(e1,e1)),
inference(cnf_transformation,[],[f6]) ).
fof(f470,plain,
e0 = op(e1,op(op(e1,e1),op(e1,e1))),
inference(cnf_transformation,[],[f6]) ).
fof(f488,plain,
( sP117
| ~ sP129 ),
inference(cnf_transformation,[],[f141]) ).
fof(f492,plain,
( sP121
| ~ sP129 ),
inference(cnf_transformation,[],[f141]) ).
fof(f512,plain,
( sP91
| ~ sP128 ),
inference(cnf_transformation,[],[f142]) ).
fof(f515,plain,
( sP94
| ~ sP128 ),
inference(cnf_transformation,[],[f142]) ).
fof(f535,plain,
( sP64
| ~ sP127 ),
inference(cnf_transformation,[],[f143]) ).
fof(f555,plain,
( sP34
| ~ sP126 ),
inference(cnf_transformation,[],[f144]) ).
fof(f575,plain,
( sP4
| ~ sP125 ),
inference(cnf_transformation,[],[f145]) ).
fof(f603,plain,
( e0 != op(e0,e3)
| op(e0,e0) = e3
| ~ sP121 ),
inference(cnf_transformation,[],[f149]) ).
fof(f610,plain,
( e0 != op(e1,e2)
| e0 != unit
| ~ sP117 ),
inference(cnf_transformation,[],[f153]) ).
fof(f657,plain,
( e1 != op(e1,e0)
| e0 = op(e1,e1)
| ~ sP94 ),
inference(cnf_transformation,[],[f176]) ).
fof(f663,plain,
( e1 != op(e1,e3)
| e3 = op(e1,e1)
| ~ sP91 ),
inference(cnf_transformation,[],[f179]) ).
fof(f717,plain,
( e2 != op(e2,e0)
| e0 = op(e2,e2)
| ~ sP64 ),
inference(cnf_transformation,[],[f206]) ).
fof(f777,plain,
( e3 != op(e3,e0)
| e0 = op(e3,e3)
| ~ sP34 ),
inference(cnf_transformation,[],[f236]) ).
fof(f837,plain,
( e4 != op(e4,e0)
| e0 = op(e4,e4)
| ~ sP4 ),
inference(cnf_transformation,[],[f266]) ).
fof(f846,plain,
( sP129
| sP128
| sP127
| sP126
| sP125 ),
inference(cnf_transformation,[],[f140]) ).
fof(f850,plain,
( op(e0,e0) = e1
| e1 = op(e1,e1)
| e1 = op(e2,e2)
| e1 = op(e3,e3)
| e1 = op(e4,e4) ),
inference(cnf_transformation,[],[f140]) ).
fof(f851,plain,
( e0 = op(e0,e0)
| e0 = op(e1,e1)
| e0 = op(e2,e2)
| e0 = op(e3,e3)
| e0 = op(e4,e4) ),
inference(cnf_transformation,[],[f140]) ).
fof(f853,definition,
( spl130_1
<=> sP125 ),
introduced(definition,[new_symbols(definition,[spl130_1])],[avatar_definition]) ).
fof(f857,definition,
( spl130_2
<=> sP126 ),
introduced(definition,[new_symbols(definition,[spl130_2])],[avatar_definition]) ).
fof(f861,definition,
( spl130_3
<=> sP127 ),
introduced(definition,[new_symbols(definition,[spl130_3])],[avatar_definition]) ).
fof(f865,definition,
( spl130_4
<=> sP128 ),
introduced(definition,[new_symbols(definition,[spl130_4])],[avatar_definition]) ).
fof(f869,definition,
( spl130_5
<=> sP129 ),
introduced(definition,[new_symbols(definition,[spl130_5])],[avatar_definition]) ).
fof(f872,plain,
( spl130_1
| spl130_2
| spl130_3
| spl130_4
| spl130_5 ),
inference(avatar_split_clause,[],[f846,f869,f865,f861,f857,f853]) ).
fof(f874,definition,
( spl130_6
<=> e4 = op(e4,e4) ),
introduced(definition,[new_symbols(definition,[spl130_6])],[avatar_definition]) ).
fof(f875,plain,
( e4 != op(e4,e4)
| spl130_6 ),
inference(avatar_component_clause,[],[f874]) ).
fof(f876,plain,
( e4 = op(e4,e4)
| ~ spl130_6 ),
inference(avatar_component_clause,[],[f874]) ).
fof(f886,definition,
( spl130_9
<=> e4 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl130_9])],[avatar_definition]) ).
fof(f888,plain,
( e4 = op(e1,e1)
| ~ spl130_9 ),
inference(avatar_component_clause,[],[f886]) ).
fof(f899,definition,
( spl130_12
<=> e3 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl130_12])],[avatar_definition]) ).
fof(f901,plain,
( e3 = op(e3,e3)
| ~ spl130_12 ),
inference(avatar_component_clause,[],[f899]) ).
fof(f903,definition,
( spl130_13
<=> e3 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl130_13])],[avatar_definition]) ).
fof(f905,plain,
( e3 = op(e2,e2)
| ~ spl130_13 ),
inference(avatar_component_clause,[],[f903]) ).
fof(f907,definition,
( spl130_14
<=> e3 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl130_14])],[avatar_definition]) ).
fof(f909,plain,
( e3 = op(e1,e1)
| ~ spl130_14 ),
inference(avatar_component_clause,[],[f907]) ).
fof(f911,definition,
( spl130_15
<=> op(e0,e0) = e3 ),
introduced(definition,[new_symbols(definition,[spl130_15])],[avatar_definition]) ).
fof(f913,plain,
( op(e0,e0) = e3
| ~ spl130_15 ),
inference(avatar_component_clause,[],[f911]) ).
fof(f916,definition,
( spl130_16
<=> e2 = op(e4,e4) ),
introduced(definition,[new_symbols(definition,[spl130_16])],[avatar_definition]) ).
fof(f918,plain,
( e2 = op(e4,e4)
| ~ spl130_16 ),
inference(avatar_component_clause,[],[f916]) ).
fof(f937,definition,
( spl130_21
<=> e1 = op(e4,e4) ),
introduced(definition,[new_symbols(definition,[spl130_21])],[avatar_definition]) ).
fof(f939,plain,
( e1 = op(e4,e4)
| ~ spl130_21 ),
inference(avatar_component_clause,[],[f937]) ).
fof(f941,definition,
( spl130_22
<=> e1 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl130_22])],[avatar_definition]) ).
fof(f943,plain,
( e1 = op(e3,e3)
| ~ spl130_22 ),
inference(avatar_component_clause,[],[f941]) ).
fof(f945,definition,
( spl130_23
<=> e1 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl130_23])],[avatar_definition]) ).
fof(f947,plain,
( e1 = op(e2,e2)
| ~ spl130_23 ),
inference(avatar_component_clause,[],[f945]) ).
fof(f949,definition,
( spl130_24
<=> e1 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl130_24])],[avatar_definition]) ).
fof(f951,plain,
( e1 = op(e1,e1)
| ~ spl130_24 ),
inference(avatar_component_clause,[],[f949]) ).
fof(f953,definition,
( spl130_25
<=> op(e0,e0) = e1 ),
introduced(definition,[new_symbols(definition,[spl130_25])],[avatar_definition]) ).
fof(f955,plain,
( op(e0,e0) = e1
| ~ spl130_25 ),
inference(avatar_component_clause,[],[f953]) ).
fof(f956,plain,
( spl130_21
| spl130_22
| spl130_23
| spl130_24
| spl130_25 ),
inference(avatar_split_clause,[],[f850,f953,f949,f945,f941,f937]) ).
fof(f958,definition,
( spl130_26
<=> e0 = op(e4,e4) ),
introduced(definition,[new_symbols(definition,[spl130_26])],[avatar_definition]) ).
fof(f960,plain,
( e0 = op(e4,e4)
| ~ spl130_26 ),
inference(avatar_component_clause,[],[f958]) ).
fof(f962,definition,
( spl130_27
<=> e0 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl130_27])],[avatar_definition]) ).
fof(f964,plain,
( e0 = op(e3,e3)
| ~ spl130_27 ),
inference(avatar_component_clause,[],[f962]) ).
fof(f966,definition,
( spl130_28
<=> e0 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl130_28])],[avatar_definition]) ).
fof(f968,plain,
( e0 = op(e2,e2)
| ~ spl130_28 ),
inference(avatar_component_clause,[],[f966]) ).
fof(f970,definition,
( spl130_29
<=> e0 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl130_29])],[avatar_definition]) ).
fof(f972,plain,
( e0 = op(e1,e1)
| ~ spl130_29 ),
inference(avatar_component_clause,[],[f970]) ).
fof(f974,definition,
( spl130_30
<=> e0 = op(e0,e0) ),
introduced(definition,[new_symbols(definition,[spl130_30])],[avatar_definition]) ).
fof(f976,plain,
( e0 = op(e0,e0)
| ~ spl130_30 ),
inference(avatar_component_clause,[],[f974]) ).
fof(f977,plain,
( spl130_26
| spl130_27
| spl130_28
| spl130_29
| spl130_30 ),
inference(avatar_split_clause,[],[f851,f974,f970,f966,f962,f958]) ).
fof(f983,definition,
( spl130_32
<=> e4 = unit ),
introduced(definition,[new_symbols(definition,[spl130_32])],[avatar_definition]) ).
fof(f984,plain,
( e4 = unit
| ~ spl130_32 ),
inference(avatar_component_clause,[],[f983]) ).
fof(f1012,definition,
( spl130_38
<=> e4 = op(e4,e1) ),
introduced(definition,[new_symbols(definition,[spl130_38])],[avatar_definition]) ).
fof(f1018,definition,
( spl130_39
<=> sP4 ),
introduced(definition,[new_symbols(definition,[spl130_39])],[avatar_definition]) ).
fof(f1022,definition,
( spl130_40
<=> e4 = op(e4,e0) ),
introduced(definition,[new_symbols(definition,[spl130_40])],[avatar_definition]) ).
fof(f1026,plain,
( ~ spl130_39
| spl130_26
| ~ spl130_40 ),
inference(avatar_split_clause,[],[f837,f1022,f958,f1018]) ).
fof(f1276,definition,
( spl130_94
<=> e3 = unit ),
introduced(definition,[new_symbols(definition,[spl130_94])],[avatar_definition]) ).
fof(f1277,plain,
( e3 = unit
| ~ spl130_94 ),
inference(avatar_component_clause,[],[f1276]) ).
fof(f1348,definition,
( spl130_109
<=> e3 = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[spl130_109])],[avatar_definition]) ).
fof(f1364,definition,
( spl130_112
<=> sP34 ),
introduced(definition,[new_symbols(definition,[spl130_112])],[avatar_definition]) ).
fof(f1368,definition,
( spl130_113
<=> e3 = op(e3,e0) ),
introduced(definition,[new_symbols(definition,[spl130_113])],[avatar_definition]) ).
fof(f1372,plain,
( ~ spl130_112
| spl130_27
| ~ spl130_113 ),
inference(avatar_split_clause,[],[f777,f1368,f962,f1364]) ).
fof(f1461,definition,
( spl130_132
<=> e1 = op(e1,e3) ),
introduced(definition,[new_symbols(definition,[spl130_132])],[avatar_definition]) ).
fof(f1528,definition,
( spl130_146
<=> e0 = op(e0,e3) ),
introduced(definition,[new_symbols(definition,[spl130_146])],[avatar_definition]) ).
fof(f1537,definition,
( spl130_148
<=> e2 = unit ),
introduced(definition,[new_symbols(definition,[spl130_148])],[avatar_definition]) ).
fof(f1538,plain,
( e2 = unit
| ~ spl130_148 ),
inference(avatar_component_clause,[],[f1537]) ).
fof(f1662,definition,
( spl130_173
<=> sP64 ),
introduced(definition,[new_symbols(definition,[spl130_173])],[avatar_definition]) ).
fof(f1666,definition,
( spl130_174
<=> e2 = op(e2,e0) ),
introduced(definition,[new_symbols(definition,[spl130_174])],[avatar_definition]) ).
fof(f1670,plain,
( ~ spl130_173
| spl130_28
| ~ spl130_174 ),
inference(avatar_split_clause,[],[f717,f1666,f966,f1662]) ).
fof(f1712,definition,
( spl130_183
<=> e0 = op(e1,e2) ),
introduced(definition,[new_symbols(definition,[spl130_183])],[avatar_definition]) ).
fof(f1766,definition,
( spl130_194
<=> e1 = unit ),
introduced(definition,[new_symbols(definition,[spl130_194])],[avatar_definition]) ).
fof(f1767,plain,
( e1 = unit
| ~ spl130_194 ),
inference(avatar_component_clause,[],[f1766]) ).
fof(f1895,definition,
( spl130_219
<=> sP91 ),
introduced(definition,[new_symbols(definition,[spl130_219])],[avatar_definition]) ).
fof(f1899,plain,
( ~ spl130_219
| spl130_14
| ~ spl130_132 ),
inference(avatar_split_clause,[],[f663,f1461,f907,f1895]) ).
fof(f1912,definition,
( spl130_222
<=> sP94 ),
introduced(definition,[new_symbols(definition,[spl130_222])],[avatar_definition]) ).
fof(f1916,definition,
( spl130_223
<=> e1 = op(e1,e0) ),
introduced(definition,[new_symbols(definition,[spl130_223])],[avatar_definition]) ).
fof(f1920,plain,
( ~ spl130_222
| spl130_29
| ~ spl130_223 ),
inference(avatar_split_clause,[],[f657,f1916,f970,f1912]) ).
fof(f1963,definition,
( spl130_232
<=> e0 = unit ),
introduced(definition,[new_symbols(definition,[spl130_232])],[avatar_definition]) ).
fof(f1964,plain,
( e0 = unit
| ~ spl130_232 ),
inference(avatar_component_clause,[],[f1963]) ).
fof(f2074,definition,
( spl130_252
<=> sP117 ),
introduced(definition,[new_symbols(definition,[spl130_252])],[avatar_definition]) ).
fof(f2077,plain,
( ~ spl130_252
| ~ spl130_232
| ~ spl130_183 ),
inference(avatar_split_clause,[],[f610,f1712,f1963,f2074]) ).
fof(f2101,definition,
( spl130_257
<=> sP121 ),
introduced(definition,[new_symbols(definition,[spl130_257])],[avatar_definition]) ).
fof(f2105,plain,
( ~ spl130_257
| spl130_15
| ~ spl130_146 ),
inference(avatar_split_clause,[],[f603,f1528,f911,f2101]) ).
fof(f2127,plain,
( ~ spl130_1
| spl130_39 ),
inference(avatar_split_clause,[],[f575,f1018,f853]) ).
fof(f2157,plain,
( ~ spl130_2
| spl130_112 ),
inference(avatar_split_clause,[],[f555,f1364,f857]) ).
fof(f2187,plain,
( ~ spl130_3
| spl130_173 ),
inference(avatar_split_clause,[],[f535,f1662,f861]) ).
fof(f2214,plain,
( ~ spl130_4
| spl130_219 ),
inference(avatar_split_clause,[],[f512,f1895,f865]) ).
fof(f2217,plain,
( ~ spl130_4
| spl130_222 ),
inference(avatar_split_clause,[],[f515,f1912,f865]) ).
fof(f2240,plain,
( ~ spl130_5
| spl130_252 ),
inference(avatar_split_clause,[],[f488,f2074,f869]) ).
fof(f2244,plain,
( ~ spl130_5
| spl130_257 ),
inference(avatar_split_clause,[],[f492,f2101,f869]) ).
fof(f2248,plain,
spl130_9,
inference(avatar_split_clause,[],[f467,f886]) ).
fof(f2299,plain,
( spl130_32
| spl130_94
| spl130_148
| spl130_194
| spl130_232 ),
inference(avatar_split_clause,[],[f296,f1963,f1766,f1537,f1276,f983]) ).
fof(f2397,plain,
( e1 = e4
| ~ spl130_9
| ~ spl130_24 ),
inference(superposition,[],[f951,f888]) ).
fof(f2401,plain,
( e1 != op(e1,e1)
| spl130_6
| ~ spl130_9
| ~ spl130_24 ),
inference(superposition,[],[f875,f2397]) ).
fof(f2403,plain,
( $false
| spl130_6
| ~ spl130_9
| ~ spl130_24 ),
inference(forward_subsumption_resolution,[],[f2401,f951]) ).
fof(f2404,plain,
( spl130_6
| ~ spl130_9
| ~ spl130_24 ),
inference(avatar_contradiction_clause,[],[f2403]) ).
fof(f2474,plain,
( e0 = e3
| ~ spl130_12
| ~ spl130_27 ),
inference(forward_demodulation,[],[f901,f964]) ).
fof(f2485,plain,
( e3 = e4
| ~ spl130_9
| ~ spl130_14 ),
inference(superposition,[],[f909,f888]) ).
fof(f2508,plain,
( e0 = e4
| ~ spl130_9
| ~ spl130_29 ),
inference(superposition,[],[f972,f888]) ).
fof(f2510,plain,
( e0 = e1
| ~ spl130_25
| ~ spl130_30 ),
inference(forward_demodulation,[],[f976,f955]) ).
fof(f2514,plain,
( e1 = op(e1,e1)
| ~ spl130_25
| ~ spl130_30 ),
inference(superposition,[],[f955,f2510]) ).
fof(f2518,plain,
( spl130_24
| ~ spl130_25
| ~ spl130_30 ),
inference(avatar_split_clause,[],[f2514,f974,f953,f949]) ).
fof(f2609,plain,
( op(e2,e3) != op(e2,e3)
| ~ spl130_9
| ~ spl130_14 ),
inference(superposition,[],[f377,f2485]) ).
fof(f2622,plain,
( $false
| ~ spl130_9
| ~ spl130_14 ),
inference(trivial_inequality_removal,[],[f2609]) ).
fof(f2623,plain,
( ~ spl130_9
| ~ spl130_14 ),
inference(avatar_contradiction_clause,[],[f2622]) ).
fof(f2637,plain,
( op(e3,e0) != op(e3,e0)
| ~ spl130_9
| ~ spl130_29 ),
inference(superposition,[],[f373,f2508]) ).
fof(f2651,plain,
( $false
| ~ spl130_9
| ~ spl130_29 ),
inference(trivial_inequality_removal,[],[f2637]) ).
fof(f2652,plain,
( ~ spl130_9
| ~ spl130_29 ),
inference(avatar_contradiction_clause,[],[f2651]) ).
fof(f2696,plain,
( e4 = op(e4,e4)
| ~ spl130_32 ),
inference(superposition,[],[f297,f984]) ).
fof(f2716,plain,
( $false
| spl130_6
| ~ spl130_32 ),
inference(forward_subsumption_resolution,[],[f2696,f875]) ).
fof(f2717,plain,
( spl130_6
| ~ spl130_32 ),
inference(avatar_contradiction_clause,[],[f2716]) ).
fof(f2724,plain,
( e3 = op(e3,e2)
| ~ spl130_148 ),
inference(superposition,[],[f299,f1538]) ).
fof(f2739,plain,
( spl130_109
| ~ spl130_148 ),
inference(avatar_split_clause,[],[f2724,f1537,f1348]) ).
fof(f2748,plain,
( e4 = op(e4,e0)
| ~ spl130_232 ),
inference(superposition,[],[f297,f1964]) ).
fof(f2750,plain,
( e3 = op(e3,e0)
| ~ spl130_232 ),
inference(superposition,[],[f299,f1964]) ).
fof(f2752,plain,
( e2 = op(e2,e0)
| ~ spl130_232 ),
inference(superposition,[],[f301,f1964]) ).
fof(f2754,plain,
( e1 = op(e1,e0)
| ~ spl130_232 ),
inference(superposition,[],[f303,f1964]) ).
fof(f2765,plain,
( spl130_223
| ~ spl130_232 ),
inference(avatar_split_clause,[],[f2754,f1963,f1916]) ).
fof(f2767,plain,
( spl130_174
| ~ spl130_232 ),
inference(avatar_split_clause,[],[f2752,f1963,f1666]) ).
fof(f2769,plain,
( spl130_113
| ~ spl130_232 ),
inference(avatar_split_clause,[],[f2750,f1963,f1368]) ).
fof(f2771,plain,
( spl130_40
| ~ spl130_232 ),
inference(avatar_split_clause,[],[f2748,f1963,f1022]) ).
fof(f2778,plain,
( e4 = op(e4,e1)
| ~ spl130_194 ),
inference(superposition,[],[f297,f1767]) ).
fof(f2799,plain,
( spl130_38
| ~ spl130_194 ),
inference(avatar_split_clause,[],[f2778,f1766,f1012]) ).
fof(f2809,plain,
( e4 != op(e4,e1)
| ~ spl130_9 ),
inference(forward_demodulation,[],[f440,f888]) ).
fof(f2810,plain,
( ~ spl130_38
| ~ spl130_9 ),
inference(avatar_split_clause,[],[f2809,f886,f1012]) ).
fof(f2823,plain,
( e1 != op(e1,e0)
| ~ spl130_25 ),
inference(forward_demodulation,[],[f456,f955]) ).
fof(f2824,plain,
( ~ spl130_223
| ~ spl130_25 ),
inference(avatar_split_clause,[],[f2823,f953,f1916]) ).
fof(f2825,plain,
( e2 = op(e4,e4)
| ~ spl130_9 ),
inference(forward_demodulation,[],[f469,f888]) ).
fof(f2828,plain,
( spl130_16
| ~ spl130_9 ),
inference(avatar_split_clause,[],[f2825,f886,f916]) ).
fof(f2861,plain,
( op(e4,e0) != op(e4,e0)
| ~ spl130_12
| ~ spl130_27 ),
inference(superposition,[],[f364,f2474]) ).
fof(f2902,plain,
( $false
| ~ spl130_12
| ~ spl130_27 ),
inference(trivial_inequality_removal,[],[f2861]) ).
fof(f2903,plain,
( ~ spl130_12
| ~ spl130_27 ),
inference(avatar_contradiction_clause,[],[f2902]) ).
fof(f2984,plain,
( e1 = e3
| ~ spl130_12
| ~ spl130_22 ),
inference(superposition,[],[f943,f901]) ).
fof(f2993,plain,
( e0 = e2
| ~ spl130_16
| ~ spl130_26 ),
inference(superposition,[],[f960,f918]) ).
fof(f3004,plain,
( e2 = e4
| ~ spl130_6
| ~ spl130_16 ),
inference(forward_demodulation,[],[f876,f918]) ).
fof(f3020,plain,
( op(e3,e2) != op(e3,e2)
| ~ spl130_6
| ~ spl130_16 ),
inference(superposition,[],[f368,f3004]) ).
fof(f3064,plain,
( $false
| ~ spl130_6
| ~ spl130_16 ),
inference(trivial_inequality_removal,[],[f3020]) ).
fof(f3065,plain,
( ~ spl130_6
| ~ spl130_16 ),
inference(avatar_contradiction_clause,[],[f3064]) ).
fof(f3128,plain,
( e1 = op(e1,e1)
| ~ spl130_12
| ~ spl130_22 ),
inference(superposition,[],[f943,f2984]) ).
fof(f3143,plain,
( spl130_24
| ~ spl130_12
| ~ spl130_22 ),
inference(avatar_split_clause,[],[f3128,f941,f899,f949]) ).
fof(f3168,plain,
( e0 = e3
| ~ spl130_15
| ~ spl130_30 ),
inference(superposition,[],[f976,f913]) ).
fof(f3202,plain,
( op(e0,e1) != op(e0,e1)
| ~ spl130_15
| ~ spl130_30 ),
inference(superposition,[],[f444,f3168]) ).
fof(f3209,plain,
( $false
| ~ spl130_15
| ~ spl130_30 ),
inference(trivial_inequality_removal,[],[f3202]) ).
fof(f3210,plain,
( ~ spl130_15
| ~ spl130_30 ),
inference(avatar_contradiction_clause,[],[f3209]) ).
fof(f3249,plain,
( e0 = e1
| ~ spl130_22
| ~ spl130_27 ),
inference(forward_demodulation,[],[f964,f943]) ).
fof(f3253,plain,
( op(e4,e1) != op(e4,e1)
| ~ spl130_22
| ~ spl130_27 ),
inference(superposition,[],[f366,f3249]) ).
fof(f3284,plain,
( $false
| ~ spl130_22
| ~ spl130_27 ),
inference(trivial_inequality_removal,[],[f3253]) ).
fof(f3285,plain,
( ~ spl130_22
| ~ spl130_27 ),
inference(avatar_contradiction_clause,[],[f3284]) ).
fof(f3315,plain,
( e1 = e2
| ~ spl130_16
| ~ spl130_21 ),
inference(superposition,[],[f939,f918]) ).
fof(f3370,plain,
( e0 = op(e1,op(e4,e4))
| ~ spl130_9 ),
inference(forward_demodulation,[],[f470,f888]) ).
fof(f3371,plain,
( e0 = op(e1,e2)
| ~ spl130_9
| ~ spl130_16 ),
inference(forward_demodulation,[],[f3370,f918]) ).
fof(f3372,plain,
( spl130_183
| ~ spl130_9
| ~ spl130_16 ),
inference(avatar_split_clause,[],[f3371,f916,f886,f1712]) ).
fof(f3373,plain,
( e3 = op(op(e4,e4),op(e4,e4))
| ~ spl130_9 ),
inference(forward_demodulation,[],[f468,f888]) ).
fof(f3374,plain,
( e3 = op(e2,e2)
| ~ spl130_9
| ~ spl130_16 ),
inference(forward_demodulation,[],[f3373,f918]) ).
fof(f3377,plain,
( e1 = e3
| ~ spl130_13
| ~ spl130_23 ),
inference(forward_demodulation,[],[f905,f947]) ).
fof(f3382,plain,
( op(e4,e1) != op(e4,e1)
| ~ spl130_13
| ~ spl130_23 ),
inference(superposition,[],[f361,f3377]) ).
fof(f3428,plain,
( $false
| ~ spl130_13
| ~ spl130_23 ),
inference(trivial_inequality_removal,[],[f3382]) ).
fof(f3429,plain,
( ~ spl130_13
| ~ spl130_23 ),
inference(avatar_contradiction_clause,[],[f3428]) ).
fof(f3452,plain,
( spl130_13
| ~ spl130_9
| ~ spl130_16 ),
inference(avatar_split_clause,[],[f3374,f916,f886,f903]) ).
fof(f3460,plain,
( op(e4,e1) != op(e4,e1)
| ~ spl130_16
| ~ spl130_21 ),
inference(superposition,[],[f362,f3315]) ).
fof(f3498,plain,
( $false
| ~ spl130_16
| ~ spl130_21 ),
inference(trivial_inequality_removal,[],[f3460]) ).
fof(f3499,plain,
( ~ spl130_16
| ~ spl130_21 ),
inference(avatar_contradiction_clause,[],[f3498]) ).
fof(f3538,plain,
( e3 != op(e3,e2)
| ~ spl130_13 ),
inference(forward_demodulation,[],[f429,f905]) ).
fof(f3539,plain,
( ~ spl130_109
| ~ spl130_13 ),
inference(avatar_split_clause,[],[f3538,f903,f1348]) ).
fof(f3551,plain,
( e3 = op(e3,e3)
| ~ spl130_94 ),
inference(superposition,[],[f300,f1277]) ).
fof(f3554,plain,
( e1 = op(e1,e3)
| ~ spl130_94 ),
inference(superposition,[],[f303,f1277]) ).
fof(f3556,plain,
( e0 = op(e0,e3)
| ~ spl130_94 ),
inference(superposition,[],[f305,f1277]) ).
fof(f3561,plain,
( spl130_146
| ~ spl130_94 ),
inference(avatar_split_clause,[],[f3556,f1276,f1528]) ).
fof(f3563,plain,
( spl130_132
| ~ spl130_94 ),
inference(avatar_split_clause,[],[f3554,f1276,f1461]) ).
fof(f3572,plain,
( spl130_12
| ~ spl130_94 ),
inference(avatar_split_clause,[],[f3551,f1276,f899]) ).
fof(f3577,plain,
( e0 = e3
| ~ spl130_13
| ~ spl130_28 ),
inference(superposition,[],[f968,f905]) ).
fof(f3589,plain,
( op(e4,e0) != op(e4,e0)
| ~ spl130_16
| ~ spl130_26 ),
inference(superposition,[],[f365,f2993]) ).
fof(f3626,plain,
( $false
| ~ spl130_16
| ~ spl130_26 ),
inference(trivial_inequality_removal,[],[f3589]) ).
fof(f3627,plain,
( ~ spl130_16
| ~ spl130_26 ),
inference(avatar_contradiction_clause,[],[f3626]) ).
fof(f3652,plain,
( op(e4,e0) != op(e4,e0)
| ~ spl130_13
| ~ spl130_28 ),
inference(superposition,[],[f364,f3577]) ).
fof(f3695,plain,
( $false
| ~ spl130_13
| ~ spl130_28 ),
inference(trivial_inequality_removal,[],[f3652]) ).
fof(f3696,plain,
( ~ spl130_13
| ~ spl130_28 ),
inference(avatar_contradiction_clause,[],[f3695]) ).
cnf(s1,plain,
( spl130_1
| spl130_2
| spl130_3
| spl130_4
| spl130_5 ),
inference(sat_conversion,[],[f872]) ).
cnf(s5,plain,
( spl130_21
| spl130_22
| spl130_23
| spl130_24
| spl130_25 ),
inference(sat_conversion,[],[f956]) ).
cnf(s6,plain,
( spl130_26
| spl130_27
| spl130_28
| spl130_29
| spl130_30 ),
inference(sat_conversion,[],[f977]) ).
cnf(s15,plain,
( spl130_26
| ~ spl130_39
| ~ spl130_40 ),
inference(sat_conversion,[],[f1026]) ).
cnf(s69,plain,
( spl130_27
| ~ spl130_112
| ~ spl130_113 ),
inference(sat_conversion,[],[f1372]) ).
cnf(s123,plain,
( spl130_28
| ~ spl130_173
| ~ spl130_174 ),
inference(sat_conversion,[],[f1670]) ).
cnf(s172,plain,
( spl130_14
| ~ spl130_132
| ~ spl130_219 ),
inference(sat_conversion,[],[f1899]) ).
cnf(s177,plain,
( spl130_29
| ~ spl130_222
| ~ spl130_223 ),
inference(sat_conversion,[],[f1920]) ).
cnf(s218,plain,
( ~ spl130_183
| ~ spl130_232
| ~ spl130_252 ),
inference(sat_conversion,[],[f2077]) ).
cnf(s226,plain,
( spl130_15
| ~ spl130_146
| ~ spl130_257 ),
inference(sat_conversion,[],[f2105]) ).
cnf(s236,plain,
( ~ spl130_1
| spl130_39 ),
inference(sat_conversion,[],[f2127]) ).
cnf(s266,plain,
( ~ spl130_2
| spl130_112 ),
inference(sat_conversion,[],[f2157]) ).
cnf(s296,plain,
( ~ spl130_3
| spl130_173 ),
inference(sat_conversion,[],[f2187]) ).
cnf(s323,plain,
( ~ spl130_4
| spl130_219 ),
inference(sat_conversion,[],[f2214]) ).
cnf(s326,plain,
( ~ spl130_4
| spl130_222 ),
inference(sat_conversion,[],[f2217]) ).
cnf(s349,plain,
( ~ spl130_5
| spl130_252 ),
inference(sat_conversion,[],[f2240]) ).
cnf(s353,plain,
( ~ spl130_5
| spl130_257 ),
inference(sat_conversion,[],[f2244]) ).
cnf(s357,plain,
spl130_9,
inference(sat_conversion,[],[f2248]) ).
cnf(s408,plain,
( spl130_32
| spl130_94
| spl130_148
| spl130_194
| spl130_232 ),
inference(sat_conversion,[],[f2299]) ).
cnf(s451,plain,
( spl130_6
| ~ spl130_9
| ~ spl130_24 ),
inference(sat_conversion,[],[f2404]) ).
cnf(s469,plain,
( spl130_24
| ~ spl130_25
| ~ spl130_30 ),
inference(sat_conversion,[],[f2518]) ).
cnf(s497,plain,
( ~ spl130_9
| ~ spl130_14 ),
inference(sat_conversion,[],[f2623]) ).
cnf(s501,plain,
( ~ spl130_9
| ~ spl130_29 ),
inference(sat_conversion,[],[f2652]) ).
cnf(s530,plain,
( spl130_6
| ~ spl130_32 ),
inference(sat_conversion,[],[f2717]) ).
cnf(s538,plain,
( spl130_109
| ~ spl130_148 ),
inference(sat_conversion,[],[f2739]) ).
cnf(s545,plain,
( spl130_223
| ~ spl130_232 ),
inference(sat_conversion,[],[f2765]) ).
cnf(s547,plain,
( spl130_174
| ~ spl130_232 ),
inference(sat_conversion,[],[f2767]) ).
cnf(s549,plain,
( spl130_113
| ~ spl130_232 ),
inference(sat_conversion,[],[f2769]) ).
cnf(s551,plain,
( spl130_40
| ~ spl130_232 ),
inference(sat_conversion,[],[f2771]) ).
cnf(s564,plain,
( spl130_38
| ~ spl130_194 ),
inference(sat_conversion,[],[f2799]) ).
cnf(s569,plain,
( ~ spl130_9
| ~ spl130_38 ),
inference(sat_conversion,[],[f2810]) ).
cnf(s576,plain,
( ~ spl130_25
| ~ spl130_223 ),
inference(sat_conversion,[],[f2824]) ).
cnf(s578,plain,
( ~ spl130_9
| spl130_16 ),
inference(sat_conversion,[],[f2828]) ).
cnf(s598,plain,
( ~ spl130_12
| ~ spl130_27 ),
inference(sat_conversion,[],[f2903]) ).
cnf(s653,plain,
( ~ spl130_6
| ~ spl130_16 ),
inference(sat_conversion,[],[f3065]) ).
cnf(s673,plain,
( ~ spl130_12
| ~ spl130_22
| spl130_24 ),
inference(sat_conversion,[],[f3143]) ).
cnf(s686,plain,
( ~ spl130_15
| ~ spl130_30 ),
inference(sat_conversion,[],[f3210]) ).
cnf(s716,plain,
( ~ spl130_22
| ~ spl130_27 ),
inference(sat_conversion,[],[f3285]) ).
cnf(s758,plain,
( ~ spl130_9
| ~ spl130_16
| spl130_183 ),
inference(sat_conversion,[],[f3372]) ).
cnf(s765,plain,
( ~ spl130_13
| ~ spl130_23 ),
inference(sat_conversion,[],[f3429]) ).
cnf(s782,plain,
( ~ spl130_9
| spl130_13
| ~ spl130_16 ),
inference(sat_conversion,[],[f3452]) ).
cnf(s788,plain,
( ~ spl130_16
| ~ spl130_21 ),
inference(sat_conversion,[],[f3499]) ).
cnf(s816,plain,
( ~ spl130_13
| ~ spl130_109 ),
inference(sat_conversion,[],[f3539]) ).
cnf(s824,plain,
( ~ spl130_94
| spl130_146 ),
inference(sat_conversion,[],[f3561]) ).
cnf(s826,plain,
( ~ spl130_94
| spl130_132 ),
inference(sat_conversion,[],[f3563]) ).
cnf(s837,plain,
( spl130_12
| ~ spl130_94 ),
inference(sat_conversion,[],[f3572]) ).
cnf(s846,plain,
( ~ spl130_16
| ~ spl130_26 ),
inference(sat_conversion,[],[f3627]) ).
cnf(s861,plain,
( ~ spl130_13
| ~ spl130_28 ),
inference(sat_conversion,[],[f3696]) ).
cnf(s873,plain,
spl130_16,
inference(rat,[],[s578,s357]) ).
cnf(s877,plain,
~ spl130_38,
inference(rat,[],[s569,s357]) ).
cnf(s880,plain,
~ spl130_29,
inference(rat,[],[s501,s357]) ).
cnf(s881,plain,
~ spl130_14,
inference(rat,[],[s497,s357]) ).
cnf(s884,plain,
~ spl130_26,
inference(rat,[],[s846,s873]) ).
cnf(s885,plain,
~ spl130_21,
inference(rat,[],[s788,s873]) ).
cnf(s886,plain,
spl130_183,
inference(rat,[],[s758,s357,s873]) ).
cnf(s887,plain,
~ spl130_6,
inference(rat,[],[s653,s873]) ).
cnf(s896,plain,
spl130_13,
inference(rat,[],[s782,s357,s873]) ).
cnf(s897,plain,
~ spl130_194,
inference(rat,[],[s564,s877]) ).
cnf(s898,plain,
~ spl130_32,
inference(rat,[],[s530,s887]) ).
cnf(s899,plain,
~ spl130_24,
inference(rat,[],[s451,s357,s887]) ).
cnf(s901,plain,
~ spl130_28,
inference(rat,[],[s861,s896]) ).
cnf(s904,plain,
~ spl130_109,
inference(rat,[],[s816,s896]) ).
cnf(s910,plain,
~ spl130_23,
inference(rat,[],[s765,s896]) ).
cnf(s911,plain,
~ spl130_148,
inference(rat,[],[s538,s904]) ).
cnf(s913,plain,
( ~ spl130_232
| ~ spl130_252 ),
inference(rat,[],[s218,s886]) ).
cnf(s918,plain,
( ~ spl130_222
| ~ spl130_223 ),
inference(rat,[],[s177,s880]) ).
cnf(s920,plain,
( ~ spl130_132
| ~ spl130_219 ),
inference(rat,[],[s172,s881]) ).
cnf(s927,plain,
( ~ spl130_173
| ~ spl130_174 ),
inference(rat,[],[s123,s901]) ).
cnf(s939,plain,
( ~ spl130_39
| ~ spl130_40 ),
inference(rat,[],[s15,s884]) ).
cnf(s940,plain,
( spl130_27
| spl130_30 ),
inference(rat,[],[s6,s880,s901,s884]) ).
cnf(s941,plain,
( spl130_22
| spl130_25 ),
inference(rat,[],[s5,s899,s910,s885]) ).
cnf(s942,plain,
~ spl130_5,
inference(rat,[],[s686,s940,s226,s598,s824,s837,s408,s913,s349,s353,s898,s897,s911]) ).
cnf(s943,plain,
~ spl130_4,
inference(rat,[],[s408,s826,s545,s920,s918,s323,s326,s898,s897,s911]) ).
cnf(s944,plain,
~ spl130_12,
inference(rat,[],[s469,s940,s941,s598,s673,s899]) ).
cnf(s945,plain,
~ spl130_94,
inference(rat,[],[s837,s944]) ).
cnf(s946,plain,
spl130_232,
inference(rat,[],[s408,s911,s897,s898,s945]) ).
cnf(s947,plain,
spl130_40,
inference(rat,[],[s551,s946]) ).
cnf(s949,plain,
spl130_113,
inference(rat,[],[s549,s946]) ).
cnf(s951,plain,
spl130_174,
inference(rat,[],[s547,s946]) ).
cnf(s953,plain,
spl130_223,
inference(rat,[],[s545,s946]) ).
cnf(s956,plain,
~ spl130_39,
inference(rat,[],[s939,s947]) ).
cnf(s959,plain,
~ spl130_173,
inference(rat,[],[s927,s951]) ).
cnf(s960,plain,
~ spl130_25,
inference(rat,[],[s576,s953]) ).
cnf(s962,plain,
~ spl130_3,
inference(rat,[],[s296,s959]) ).
cnf(s963,plain,
spl130_22,
inference(rat,[],[s941,s960]) ).
cnf(s964,plain,
~ spl130_27,
inference(rat,[],[s716,s963]) ).
cnf(s966,plain,
~ spl130_112,
inference(rat,[],[s69,s949,s964]) ).
cnf(s967,plain,
~ spl130_1,
inference(rat,[],[s236,s956]) ).
cnf(s968,plain,
spl130_2,
inference(rat,[],[s1,s942,s943,s967,s962]) ).
cnf(s971,plain,
$false,
inference(rat,[],[s266,s966,s968]) ).
fof(f3716,plain,
$false,
inference(avatar_sat_refutation,[],[s971]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG062+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.27 % Computer : n001.cluster.edu
% 0.14/0.27 % Model : x86_64 x86_64
% 0.14/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.27 % Memory : 8046.5625MB
% 0.14/0.27 % OS : Linux 6.8.0-71-generic
% 0.14/0.27 % CPULimit : 300
% 0.14/0.27 % WCLimit : 300
% 0.14/0.27 % DateTime : Mon Sep 28 19:29:59 UTC 2026
% 0.14/0.27 % CPUTime :
% 0.14/0.28 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.31 Running first-order theorem proving
% 0.14/0.31 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.34/0.80 % (650453)Detected formulas, will run a generic FOF schedule.
% 2.34/0.80 % (650463)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3456551436:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.34/0.80 % (650463)First to succeed.
% 2.34/0.80 % (650463)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-650453"
% 2.34/0.80 % (650462)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3264039202:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.34/0.80 % (650459)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1244738228:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.34/0.80 % (650461)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=993048569:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.34/0.80 % (650460)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1635902237:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.34/0.80 % (650458)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3613498875:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.34/0.80 % (650464)dis-21_1_sil=8000:lcm=predicate:random_seed=637812092:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.34/0.80 % (650464)Refutation not found, incomplete strategy
% 2.34/0.80 % (650464)------------------------------
% 2.34/0.80 % (650464)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.34/0.80 % (650464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.80 % (650464)CaDiCaL version: 2.1.3
% 2.34/0.80 % (650464)Termination reason: Refutation not found, incomplete strategy
% 2.34/0.80 % (650464)Time elapsed: 0.019 s
% 2.34/0.80 % (650464)Peak memory usage: 89 MB
% 2.34/0.80 % (650464)Instructions burned: 35 (million)
% 2.34/0.80 % (650461)Refutation not found, incomplete strategy
% 2.34/0.80 % (650461)------------------------------
% 2.34/0.80 % (650461)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.34/0.80 % (650461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.80 % (650461)CaDiCaL version: 2.1.3
% 2.34/0.80 % (650461)Termination reason: Refutation not found, incomplete strategy
% 2.34/0.80 % (650461)Time elapsed: 0.020 s
% 2.34/0.80 % (650461)Peak memory usage: 90 MB
% 2.34/0.80 % (650461)Instructions burned: 40 (million)
% 2.34/0.80 % (650462)Instruction limit reached!
% 2.34/0.80 % (650462)------------------------------
% 2.34/0.80 % (650462)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.34/0.80 % (650462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.80 % (650462)CaDiCaL version: 2.1.3
% 2.34/0.80 % (650462)Termination reason: Instruction limit
% 2.34/0.80 % (650462)Termination phase: Saturation
% 2.34/0.80 % (650462)Time elapsed: 0.053 s
% 2.34/0.80 % (650462)Peak memory usage: 88 MB
% 2.34/0.80 % (650462)Instructions burned: 122 (million)
% 2.34/0.80 % (650463)Refutation found. Thanks to Tanya!
% 2.34/0.80 % SZS status Theorem for theBenchmark
% 2.34/0.80 % SZS output start Proof for theBenchmark
% See solution above
% 2.44/0.99 % (650463)------------------------------
% 2.44/0.99 % (650463)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.44/0.99 % (650463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/0.99 % (650463)CaDiCaL version: 2.1.3
% 2.44/0.99 % (650463)Termination reason: Refutation
% 2.44/0.99 % (650463)Time elapsed: 0.031 s
% 2.44/0.99 % (650463)Peak memory usage: 91 MB
% 2.44/0.99 % (650463)Instructions burned: 108 (million)
% 2.44/0.99 % (650463)------------------------------
% 2.44/0.99 % (650463)------------------------------
% 2.44/0.99 % (650453)Success in time 0.297 s
% 2.44/0.99 % Vampire exiting
%------------------------------------------------------------------------------