%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ALG066+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 : n009.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 09:21:13 AM UTC 2026
% Result : Theorem 0.20s 0.35s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 183
% Syntax : Number of formulae : 581 ( 103 unt; 177 def)
% Number of atoms : 3349 (2302 equ)
% Maximal formula atoms : 425 ( 5 avg)
% Number of connectives : 4552 (1784 ~;1372 |;1349 &)
% ( 47 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 179 ( 177 usr; 178 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,
( ( 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 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
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/sandbox/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/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f5,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',ax5) ).
fof(f6,axiom,
( e0 = op(op(e4,e2),op(e4,e2))
& e1 = op(e4,e2)
& e3 = op(e2,e4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f7,conjecture,
~ ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != e4
| op(e4,e4) = e4 )
& ( ( ( op(e0,e0) != e0
| ( op(e0,e0) = 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/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f8,negated_conjecture,
~ ~ ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != e4
| op(e4,e4) = e4 )
& ( ( ( op(e0,e0) != e0
| ( op(e0,e0) = 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(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != e4
| op(e4,e4) = e4 )
& ( ( ( op(e0,e0) != e0
| ( op(e0,e0) = 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(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != e4
| op(e4,e4) = e4 )
& ( 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(f152,plain,
( op(e1,e1) != e0
| ( op(e1,e0) = e1
& e0 != unit )
| ~ sP118 ),
inference(nnf_transformation,[],[f128]) ).
fof(f193,plain,
( op(e4,e2) != e1
| ( op(e4,e1) = e2
& e1 != unit )
| ~ sP77 ),
inference(nnf_transformation,[],[f87]) ).
fof(f212,plain,
( op(e3,e1) != e2
| ( op(e3,e2) = e1
& e2 != unit )
| ~ sP58 ),
inference(nnf_transformation,[],[f68]) ).
fof(f242,plain,
( op(e4,e1) != e3
| ( op(e4,e3) = e1
& e3 != unit )
| ~ sP28 ),
inference(nnf_transformation,[],[f38]) ).
fof(f263,plain,
( op(e3,e2) != e4
| ( op(e3,e4) = e2
& e4 != unit )
| ~ sP7 ),
inference(nnf_transformation,[],[f17]) ).
fof(f271,plain,
( e0 = op(e4,e4)
| e1 = op(e4,e4)
| e2 = op(e4,e4)
| e3 = op(e4,e4)
| e4 = op(e4,e4) ),
inference(cnf_transformation,[],[f1]) ).
fof(f272,plain,
( e0 = op(e4,e3)
| e1 = op(e4,e3)
| e2 = op(e4,e3)
| e3 = op(e4,e3)
| e4 = op(e4,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f274,plain,
( e0 = op(e4,e1)
| e1 = op(e4,e1)
| e2 = op(e4,e1)
| e3 = op(e4,e1)
| e4 = op(e4,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f277,plain,
( e0 = op(e3,e3)
| e1 = op(e3,e3)
| e2 = op(e3,e3)
| e3 = op(e3,e3)
| e4 = op(e3,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f278,plain,
( e0 = op(e3,e2)
| e1 = op(e3,e2)
| e2 = op(e3,e2)
| e3 = op(e3,e2)
| e4 = op(e3,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f279,plain,
( e0 = op(e3,e1)
| e1 = op(e3,e1)
| e2 = op(e3,e1)
| e3 = op(e3,e1)
| e4 = op(e3,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f283,plain,
( e0 = op(e2,e2)
| e1 = op(e2,e2)
| e2 = op(e2,e2)
| e3 = op(e2,e2)
| e4 = op(e2,e2) ),
inference(cnf_transformation,[],[f1]) ).
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(f302,plain,
e2 = op(unit,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f303,plain,
e1 = op(e1,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f304,plain,
e1 = op(unit,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f357,plain,
op(e4,e3) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f359,plain,
op(e4,e2) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f361,plain,
op(e4,e1) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f363,plain,
op(e4,e0) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f364,plain,
op(e4,e0) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f366,plain,
op(e4,e0) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f369,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f370,plain,
op(e3,e1) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f371,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f372,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f374,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f375,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f376,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f377,plain,
op(e2,e3) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f378,plain,
op(e2,e2) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f379,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f384,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f393,plain,
op(e1,e0) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f395,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f409,plain,
op(e2,e4) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f423,plain,
op(e0,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f427,plain,
op(e3,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f428,plain,
op(e2,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f434,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f437,plain,
op(e3,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f440,plain,
op(e1,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f443,plain,
op(e0,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f444,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f460,plain,
e1 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f462,plain,
e1 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f466,plain,
e0 != e1,
inference(cnf_transformation,[],[f5]) ).
fof(f467,plain,
e3 = op(e2,e4),
inference(cnf_transformation,[],[f6]) ).
fof(f468,plain,
e1 = op(e4,e2),
inference(cnf_transformation,[],[f6]) ).
fof(f469,plain,
e0 = op(op(e4,e2),op(e4,e2)),
inference(cnf_transformation,[],[f6]) ).
fof(f488,plain,
( sP118
| ~ sP129 ),
inference(cnf_transformation,[],[f141]) ).
fof(f497,plain,
( sP77
| ~ sP128 ),
inference(cnf_transformation,[],[f142]) ).
fof(f528,plain,
( sP58
| ~ sP127 ),
inference(cnf_transformation,[],[f143]) ).
fof(f548,plain,
( sP28
| ~ sP126 ),
inference(cnf_transformation,[],[f144]) ).
fof(f577,plain,
( sP7
| ~ sP125 ),
inference(cnf_transformation,[],[f145]) ).
fof(f607,plain,
( e0 != op(e1,e1)
| e0 != unit
| ~ sP118 ),
inference(cnf_transformation,[],[f152]) ).
fof(f690,plain,
( e1 != op(e4,e2)
| e2 = op(e4,e1)
| ~ sP77 ),
inference(cnf_transformation,[],[f193]) ).
fof(f728,plain,
( e2 != op(e3,e1)
| e1 = op(e3,e2)
| ~ sP58 ),
inference(cnf_transformation,[],[f212]) ).
fof(f788,plain,
( e3 != op(e4,e1)
| e1 = op(e4,e3)
| ~ sP28 ),
inference(cnf_transformation,[],[f242]) ).
fof(f830,plain,
( e4 != op(e3,e2)
| e2 = op(e3,e4)
| ~ sP7 ),
inference(cnf_transformation,[],[f263]) ).
fof(f845,plain,
( sP129
| sP128
| sP127
| sP126
| sP125 ),
inference(cnf_transformation,[],[f140]) ).
fof(f847,plain,
( e3 != op(e4,e4)
| e4 = op(e4,e3) ),
inference(cnf_transformation,[],[f140]) ).
fof(f848,plain,
( e2 != op(e4,e4)
| e4 = op(e4,e2) ),
inference(cnf_transformation,[],[f140]) ).
fof(f849,plain,
( e1 != op(e4,e4)
| e4 = op(e4,e1) ),
inference(cnf_transformation,[],[f140]) ).
fof(f851,plain,
( e4 != op(e3,e3)
| e3 = op(e3,e4) ),
inference(cnf_transformation,[],[f140]) ).
fof(f853,plain,
( e2 != op(e3,e3)
| e3 = op(e3,e2) ),
inference(cnf_transformation,[],[f140]) ).
fof(f854,plain,
( e1 != op(e3,e3)
| e3 = op(e3,e1) ),
inference(cnf_transformation,[],[f140]) ).
fof(f856,plain,
( e4 != op(e2,e2)
| e2 = op(e2,e4) ),
inference(cnf_transformation,[],[f140]) ).
fof(f860,plain,
( e0 != op(e2,e2)
| e2 = op(e2,e0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f865,plain,
( e0 != op(e1,e1)
| e1 = op(e1,e0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f891,plain,
e3 = op(e2,e4),
inference(global_subsumption,[],[f467]) ).
fof(f892,plain,
e1 = op(e4,e2),
inference(global_subsumption,[],[f468]) ).
fof(f896,plain,
e3 = op(e2,e4),
inference(global_subsumption,[],[f467]) ).
fof(f898,definition,
( spl130_1
<=> sP125 ),
introduced(definition,[new_symbols(definition,[spl130_1])],[avatar_definition]) ).
fof(f902,definition,
( spl130_2
<=> sP126 ),
introduced(definition,[new_symbols(definition,[spl130_2])],[avatar_definition]) ).
fof(f906,definition,
( spl130_3
<=> sP127 ),
introduced(definition,[new_symbols(definition,[spl130_3])],[avatar_definition]) ).
fof(f910,definition,
( spl130_4
<=> sP128 ),
introduced(definition,[new_symbols(definition,[spl130_4])],[avatar_definition]) ).
fof(f914,definition,
( spl130_5
<=> sP129 ),
introduced(definition,[new_symbols(definition,[spl130_5])],[avatar_definition]) ).
fof(f917,plain,
( spl130_1
| spl130_2
| spl130_3
| spl130_4
| spl130_5 ),
inference(avatar_split_clause,[],[f845,f914,f910,f906,f902,f898]) ).
fof(f923,definition,
( spl130_7
<=> e0 = unit ),
introduced(definition,[new_symbols(definition,[spl130_7])],[avatar_definition]) ).
fof(f924,plain,
( e0 = unit
| ~ spl130_7 ),
inference(avatar_component_clause,[],[f923]) ).
fof(f925,plain,
( e0 != unit
| spl130_7 ),
inference(avatar_component_clause,[],[f923]) ).
fof(f945,definition,
( spl130_12
<=> e1 = unit ),
introduced(definition,[new_symbols(definition,[spl130_12])],[avatar_definition]) ).
fof(f946,plain,
( e1 = unit
| ~ spl130_12 ),
inference(avatar_component_clause,[],[f945]) ).
fof(f947,plain,
( e1 != unit
| spl130_12 ),
inference(avatar_component_clause,[],[f945]) ).
fof(f958,definition,
( spl130_15
<=> e1 = op(e0,e1) ),
introduced(definition,[new_symbols(definition,[spl130_15])],[avatar_definition]) ).
fof(f959,plain,
( e1 = op(e0,e1)
| ~ spl130_15 ),
inference(avatar_component_clause,[],[f958]) ).
fof(f960,plain,
( e1 != op(e0,e1)
| spl130_15 ),
inference(avatar_component_clause,[],[f958]) ).
fof(f967,definition,
( spl130_17
<=> e2 = unit ),
introduced(definition,[new_symbols(definition,[spl130_17])],[avatar_definition]) ).
fof(f968,plain,
( e2 = unit
| ~ spl130_17 ),
inference(avatar_component_clause,[],[f967]) ).
fof(f969,plain,
( e2 != unit
| spl130_17 ),
inference(avatar_component_clause,[],[f967]) ).
fof(f989,definition,
( spl130_22
<=> e3 = unit ),
introduced(definition,[new_symbols(definition,[spl130_22])],[avatar_definition]) ).
fof(f990,plain,
( e3 = unit
| ~ spl130_22 ),
inference(avatar_component_clause,[],[f989]) ).
fof(f991,plain,
( e3 != unit
| spl130_22 ),
inference(avatar_component_clause,[],[f989]) ).
fof(f1011,definition,
( spl130_27
<=> e4 = unit ),
introduced(definition,[new_symbols(definition,[spl130_27])],[avatar_definition]) ).
fof(f1012,plain,
( e4 = unit
| ~ spl130_27 ),
inference(avatar_component_clause,[],[f1011]) ).
fof(f1013,plain,
( e4 != unit
| spl130_27 ),
inference(avatar_component_clause,[],[f1011]) ).
fof(f1029,definition,
( spl130_31
<=> e4 = op(e4,e3) ),
introduced(definition,[new_symbols(definition,[spl130_31])],[avatar_definition]) ).
fof(f1030,plain,
( e4 != op(e4,e3)
| spl130_31 ),
inference(avatar_component_clause,[],[f1029]) ).
fof(f1031,plain,
( e4 = op(e4,e3)
| ~ spl130_31 ),
inference(avatar_component_clause,[],[f1029]) ).
fof(f1033,definition,
( spl130_32
<=> e3 = op(e4,e4) ),
introduced(definition,[new_symbols(definition,[spl130_32])],[avatar_definition]) ).
fof(f1035,plain,
( e3 != op(e4,e4)
| spl130_32 ),
inference(avatar_component_clause,[],[f1033]) ).
fof(f1036,plain,
( spl130_31
| ~ spl130_32 ),
inference(avatar_split_clause,[],[f847,f1033,f1029]) ).
fof(f1046,definition,
( spl130_33
<=> e3 = op(e3,e4) ),
introduced(definition,[new_symbols(definition,[spl130_33])],[avatar_definition]) ).
fof(f1048,plain,
( e3 = op(e3,e4)
| ~ spl130_33 ),
inference(avatar_component_clause,[],[f1046]) ).
fof(f1050,definition,
( spl130_34
<=> e4 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl130_34])],[avatar_definition]) ).
fof(f1052,plain,
( e4 != op(e3,e3)
| spl130_34 ),
inference(avatar_component_clause,[],[f1050]) ).
fof(f1053,plain,
( spl130_33
| ~ spl130_34 ),
inference(avatar_split_clause,[],[f851,f1050,f1046]) ).
fof(f1056,plain,
( e3 != op(e2,e4)
| ~ spl130_33 ),
inference(superposition,[],[f409,f1048]) ).
fof(f1063,plain,
( $false
| ~ spl130_33 ),
inference(global_subsumption,[],[f1056,f896]) ).
fof(f1064,plain,
~ spl130_33,
inference(avatar_contradiction_clause,[],[f1063]) ).
fof(f1066,definition,
( spl130_35
<=> e3 = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[spl130_35])],[avatar_definition]) ).
fof(f1067,plain,
( e3 != op(e3,e2)
| spl130_35 ),
inference(avatar_component_clause,[],[f1066]) ).
fof(f1070,definition,
( spl130_36
<=> e2 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl130_36])],[avatar_definition]) ).
fof(f1072,plain,
( e2 != op(e3,e3)
| spl130_36 ),
inference(avatar_component_clause,[],[f1070]) ).
fof(f1073,plain,
( spl130_35
| ~ spl130_36 ),
inference(avatar_split_clause,[],[f853,f1070,f1066]) ).
fof(f1079,definition,
( spl130_37
<=> e3 = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[spl130_37])],[avatar_definition]) ).
fof(f1080,plain,
( e3 != op(e3,e1)
| spl130_37 ),
inference(avatar_component_clause,[],[f1079]) ).
fof(f1081,plain,
( e3 = op(e3,e1)
| ~ spl130_37 ),
inference(avatar_component_clause,[],[f1079]) ).
fof(f1083,definition,
( spl130_38
<=> e1 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl130_38])],[avatar_definition]) ).
fof(f1085,plain,
( e1 != op(e3,e3)
| spl130_38 ),
inference(avatar_component_clause,[],[f1083]) ).
fof(f1086,plain,
( spl130_37
| ~ spl130_38 ),
inference(avatar_split_clause,[],[f854,f1083,f1079]) ).
fof(f1109,definition,
( spl130_41
<=> e2 = op(e2,e3) ),
introduced(definition,[new_symbols(definition,[spl130_41])],[avatar_definition]) ).
fof(f1110,plain,
( e2 != op(e2,e3)
| spl130_41 ),
inference(avatar_component_clause,[],[f1109]) ).
fof(f1111,plain,
( e2 = op(e2,e3)
| ~ spl130_41 ),
inference(avatar_component_clause,[],[f1109]) ).
fof(f1118,plain,
( e2 != op(e2,e0)
| ~ spl130_41 ),
inference(superposition,[],[f384,f1111]) ).
fof(f1120,plain,
( e2 != op(e2,e2)
| ~ spl130_41 ),
inference(superposition,[],[f379,f1111]) ).
fof(f1121,plain,
( e2 != op(e2,e4)
| ~ spl130_41 ),
inference(superposition,[],[f377,f1111]) ).
fof(f1125,plain,
( e0 != op(e2,e2)
| ~ spl130_41 ),
inference(forward_subsumption_resolution,[],[f860,f1118]) ).
fof(f1127,definition,
( spl130_43
<=> e1 = op(e1,e4) ),
introduced(definition,[new_symbols(definition,[spl130_43])],[avatar_definition]) ).
fof(f1128,plain,
( e1 != op(e1,e4)
| spl130_43 ),
inference(avatar_component_clause,[],[f1127]) ).
fof(f1129,plain,
( e1 = op(e1,e4)
| ~ spl130_43 ),
inference(avatar_component_clause,[],[f1127]) ).
fof(f1141,definition,
( spl130_45
<=> e1 = op(e1,e0) ),
introduced(definition,[new_symbols(definition,[spl130_45])],[avatar_definition]) ).
fof(f1143,plain,
( e1 = op(e1,e0)
| ~ spl130_45 ),
inference(avatar_component_clause,[],[f1141]) ).
fof(f1145,definition,
( spl130_46
<=> e0 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl130_46])],[avatar_definition]) ).
fof(f1146,plain,
( e0 = op(e1,e1)
| ~ spl130_46 ),
inference(avatar_component_clause,[],[f1145]) ).
fof(f1148,plain,
( spl130_45
| ~ spl130_46 ),
inference(avatar_split_clause,[],[f865,f1145,f1141]) ).
fof(f1152,plain,
( e1 != op(e1,e2)
| ~ spl130_45 ),
inference(superposition,[],[f395,f1143]) ).
fof(f1153,plain,
( e1 != op(e1,e4)
| ~ spl130_45 ),
inference(superposition,[],[f393,f1143]) ).
fof(f1154,plain,
( $false
| ~ spl130_43
| ~ spl130_45 ),
inference(forward_subsumption_resolution,[],[f1153,f1129]) ).
fof(f1155,plain,
( ~ spl130_43
| ~ spl130_45 ),
inference(avatar_contradiction_clause,[],[f1154]) ).
fof(f1179,plain,
e3 != op(e2,e2),
inference(superposition,[],[f378,f891]) ).
fof(f1182,plain,
e1 != op(e2,e2),
inference(superposition,[],[f428,f892]) ).
fof(f1269,definition,
( spl130_68
<=> sP118 ),
introduced(definition,[new_symbols(definition,[spl130_68])],[avatar_definition]) ).
fof(f1272,plain,
( ~ spl130_5
| spl130_68 ),
inference(avatar_split_clause,[],[f488,f1269,f914]) ).
fof(f1305,definition,
( spl130_75
<=> sP77 ),
introduced(definition,[new_symbols(definition,[spl130_75])],[avatar_definition]) ).
fof(f1307,plain,
( sP77
| ~ spl130_75 ),
inference(avatar_component_clause,[],[f1305]) ).
fof(f1308,plain,
( ~ spl130_4
| spl130_75 ),
inference(avatar_split_clause,[],[f497,f1305,f910]) ).
fof(f1451,definition,
( spl130_104
<=> sP58 ),
introduced(definition,[new_symbols(definition,[spl130_104])],[avatar_definition]) ).
fof(f1453,plain,
( sP58
| ~ spl130_104 ),
inference(avatar_component_clause,[],[f1451]) ).
fof(f1454,plain,
( ~ spl130_3
| spl130_104 ),
inference(avatar_split_clause,[],[f528,f1451,f906]) ).
fof(f1544,definition,
( spl130_122
<=> sP28 ),
introduced(definition,[new_symbols(definition,[spl130_122])],[avatar_definition]) ).
fof(f1546,plain,
( sP28
| ~ spl130_122 ),
inference(avatar_component_clause,[],[f1544]) ).
fof(f1547,plain,
( ~ spl130_2
| spl130_122 ),
inference(avatar_split_clause,[],[f548,f1544,f902]) ).
fof(f1669,plain,
e0 = op(e1,e1),
inference(forward_demodulation,[],[f469,f892]) ).
fof(f1670,plain,
spl130_46,
inference(avatar_split_clause,[],[f1669,f1145]) ).
fof(f1674,plain,
( e0 != op(e4,e1)
| ~ spl130_46 ),
inference(superposition,[],[f440,f1146]) ).
fof(f1734,definition,
( spl130_143
<=> e0 = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[spl130_143])],[avatar_definition]) ).
fof(f1736,plain,
( e0 != op(e3,e2)
| spl130_143 ),
inference(avatar_component_clause,[],[f1734]) ).
fof(f1789,plain,
( e2 = op(e4,e1)
| ~ sP77 ),
inference(forward_subsumption_resolution,[],[f690,f892]) ).
fof(f1790,plain,
( e2 = op(e4,e1)
| ~ spl130_75 ),
inference(forward_subsumption_resolution,[],[f1789,f1307]) ).
fof(f1865,plain,
e1 != op(e2,e2),
inference(global_subsumption,[],[f1182]) ).
fof(f1922,plain,
( e1 = e4
| e2 != op(e4,e4) ),
inference(forward_demodulation,[],[f848,f892]) ).
fof(f1927,plain,
e2 != op(e4,e4),
inference(forward_subsumption_resolution,[],[f1922,f460]) ).
fof(f1934,definition,
( spl130_156
<=> e4 = op(e4,e0) ),
introduced(definition,[new_symbols(definition,[spl130_156])],[avatar_definition]) ).
fof(f1935,plain,
( e4 != op(e4,e0)
| spl130_156 ),
inference(avatar_component_clause,[],[f1934]) ).
fof(f1936,plain,
( e4 = op(e4,e0)
| ~ spl130_156 ),
inference(avatar_component_clause,[],[f1934]) ).
fof(f1938,definition,
( spl130_157
<=> e0 = op(e4,e4) ),
introduced(definition,[new_symbols(definition,[spl130_157])],[avatar_definition]) ).
fof(f1939,plain,
( e0 = op(e4,e4)
| ~ spl130_157 ),
inference(avatar_component_clause,[],[f1938]) ).
fof(f1940,plain,
( e0 != op(e4,e4)
| spl130_157 ),
inference(avatar_component_clause,[],[f1938]) ).
fof(f1995,plain,
( e2 != op(e3,e1)
| e1 = op(e3,e2)
| ~ spl130_104 ),
inference(forward_subsumption_resolution,[],[f728,f1453]) ).
fof(f2007,definition,
( spl130_160
<=> e2 = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[spl130_160])],[avatar_definition]) ).
fof(f2008,plain,
( e2 != op(e3,e1)
| spl130_160 ),
inference(avatar_component_clause,[],[f2007]) ).
fof(f2009,plain,
( e2 = op(e3,e1)
| ~ spl130_160 ),
inference(avatar_component_clause,[],[f2007]) ).
fof(f2011,definition,
( spl130_161
<=> e1 = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[spl130_161])],[avatar_definition]) ).
fof(f2012,plain,
( e1 = op(e3,e2)
| ~ spl130_161 ),
inference(avatar_component_clause,[],[f2011]) ).
fof(f2013,plain,
( e1 != op(e3,e2)
| spl130_161 ),
inference(avatar_component_clause,[],[f2011]) ).
fof(f2015,plain,
( e2 != op(e3,e4)
| ~ spl130_160 ),
inference(superposition,[],[f370,f2009]) ).
fof(f2018,plain,
( e2 != op(e4,e1)
| ~ spl130_160 ),
inference(superposition,[],[f437,f2009]) ).
fof(f2024,plain,
( $false
| ~ spl130_75
| ~ spl130_160 ),
inference(forward_subsumption_resolution,[],[f2018,f1790]) ).
fof(f2025,plain,
( ~ spl130_75
| ~ spl130_160 ),
inference(avatar_contradiction_clause,[],[f2024]) ).
fof(f2037,definition,
( spl130_162
<=> e4 = op(e4,e1) ),
introduced(definition,[new_symbols(definition,[spl130_162])],[avatar_definition]) ).
fof(f2038,plain,
( e4 != op(e4,e1)
| spl130_162 ),
inference(avatar_component_clause,[],[f2037]) ).
fof(f2039,plain,
( e4 = op(e4,e1)
| ~ spl130_162 ),
inference(avatar_component_clause,[],[f2037]) ).
fof(f2041,definition,
( spl130_163
<=> e1 = op(e4,e4) ),
introduced(definition,[new_symbols(definition,[spl130_163])],[avatar_definition]) ).
fof(f2043,plain,
( e1 != op(e4,e4)
| spl130_163 ),
inference(avatar_component_clause,[],[f2041]) ).
fof(f2044,plain,
( spl130_162
| ~ spl130_163 ),
inference(avatar_split_clause,[],[f849,f2041,f2037]) ).
fof(f2047,plain,
( e4 != op(e4,e0)
| ~ spl130_162 ),
inference(superposition,[],[f366,f2039]) ).
fof(f2051,plain,
( $false
| ~ spl130_156
| ~ spl130_162 ),
inference(forward_subsumption_resolution,[],[f2047,f1936]) ).
fof(f2052,plain,
( ~ spl130_156
| ~ spl130_162 ),
inference(avatar_contradiction_clause,[],[f2051]) ).
fof(f2057,definition,
( spl130_164
<=> e3 = op(e3,e0) ),
introduced(definition,[new_symbols(definition,[spl130_164])],[avatar_definition]) ).
fof(f2058,plain,
( e3 != op(e3,e0)
| spl130_164 ),
inference(avatar_component_clause,[],[f2057]) ).
fof(f2059,plain,
( e3 = op(e3,e0)
| ~ spl130_164 ),
inference(avatar_component_clause,[],[f2057]) ).
fof(f2061,definition,
( spl130_165
<=> e0 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl130_165])],[avatar_definition]) ).
fof(f2062,plain,
( e0 = op(e3,e3)
| ~ spl130_165 ),
inference(avatar_component_clause,[],[f2061]) ).
fof(f2063,plain,
( e0 != op(e3,e3)
| spl130_165 ),
inference(avatar_component_clause,[],[f2061]) ).
fof(f2114,plain,
( e1 = op(e3,e2)
| ~ spl130_104
| ~ spl130_160 ),
inference(forward_subsumption_resolution,[],[f1995,f2009]) ).
fof(f2115,plain,
( spl130_161
| ~ spl130_104
| ~ spl130_160 ),
inference(avatar_split_clause,[],[f2114,f2007,f1451,f2011]) ).
fof(f2141,plain,
( e4 != op(e3,e2)
| ~ sP7
| ~ spl130_160 ),
inference(forward_subsumption_resolution,[],[f830,f2015]) ).
fof(f2143,definition,
( spl130_171
<=> sP7 ),
introduced(definition,[new_symbols(definition,[spl130_171])],[avatar_definition]) ).
fof(f2145,plain,
( ~ sP7
| spl130_171 ),
inference(avatar_component_clause,[],[f2143]) ).
fof(f2147,definition,
( spl130_172
<=> e4 = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[spl130_172])],[avatar_definition]) ).
fof(f2149,plain,
( e4 != op(e3,e2)
| spl130_172 ),
inference(avatar_component_clause,[],[f2147]) ).
fof(f2150,plain,
( ~ spl130_171
| ~ spl130_172
| ~ spl130_160 ),
inference(avatar_split_clause,[],[f2141,f2007,f2147,f2143]) ).
fof(f2159,plain,
( e1 = unit
| e2 = unit
| e3 = unit
| e4 = unit
| spl130_7 ),
inference(forward_subsumption_resolution,[],[f296,f925]) ).
fof(f2160,plain,
( e2 = unit
| e3 = unit
| e4 = unit
| spl130_7
| spl130_12 ),
inference(forward_subsumption_resolution,[],[f2159,f947]) ).
fof(f2161,plain,
( e3 = unit
| e4 = unit
| spl130_7
| spl130_12
| spl130_17 ),
inference(forward_subsumption_resolution,[],[f2160,f969]) ).
fof(f2162,plain,
( e4 = unit
| spl130_7
| spl130_12
| spl130_17
| spl130_22 ),
inference(forward_subsumption_resolution,[],[f2161,f991]) ).
fof(f2163,plain,
( $false
| spl130_7
| spl130_12
| spl130_17
| spl130_22
| spl130_27 ),
inference(forward_subsumption_resolution,[],[f2162,f1013]) ).
fof(f2164,plain,
( spl130_7
| spl130_12
| spl130_17
| spl130_22
| spl130_27 ),
inference(avatar_contradiction_clause,[],[f2163]) ).
fof(f2177,definition,
( spl130_174
<=> e2 = op(e0,e2) ),
introduced(definition,[new_symbols(definition,[spl130_174])],[avatar_definition]) ).
fof(f2178,plain,
( e2 = op(e0,e2)
| ~ spl130_174 ),
inference(avatar_component_clause,[],[f2177]) ).
fof(f2179,plain,
( e2 != op(e0,e2)
| spl130_174 ),
inference(avatar_component_clause,[],[f2177]) ).
fof(f2187,plain,
( e1 = op(e1,e2)
| ~ spl130_17 ),
inference(superposition,[],[f303,f968]) ).
fof(f2198,plain,
( $false
| ~ spl130_17
| ~ spl130_45 ),
inference(forward_subsumption_resolution,[],[f2187,f1152]) ).
fof(f2199,plain,
( ~ spl130_17
| ~ spl130_45 ),
inference(avatar_contradiction_clause,[],[f2198]) ).
fof(f2209,plain,
( e0 != unit
| ~ sP118
| ~ spl130_46 ),
inference(forward_subsumption_resolution,[],[f607,f1146]) ).
fof(f2252,plain,
( e1 = op(e1,e1)
| ~ spl130_12 ),
inference(superposition,[],[f303,f946]) ).
fof(f2261,plain,
( e0 = e1
| ~ spl130_12
| ~ spl130_46 ),
inference(forward_demodulation,[],[f2252,f1146]) ).
fof(f2271,plain,
( $false
| ~ spl130_12
| ~ spl130_46 ),
inference(forward_subsumption_resolution,[],[f2261,f466]) ).
fof(f2272,plain,
( ~ spl130_12
| ~ spl130_46 ),
inference(avatar_contradiction_clause,[],[f2271]) ).
fof(f2293,definition,
( spl130_175
<=> e3 = op(e0,e3) ),
introduced(definition,[new_symbols(definition,[spl130_175])],[avatar_definition]) ).
fof(f2294,plain,
( e3 = op(e0,e3)
| ~ spl130_175 ),
inference(avatar_component_clause,[],[f2293]) ).
fof(f2295,plain,
( e3 != op(e0,e3)
| spl130_175 ),
inference(avatar_component_clause,[],[f2293]) ).
fof(f2304,definition,
( spl130_177
<=> e3 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl130_177])],[avatar_definition]) ).
fof(f2305,plain,
( e3 = op(e3,e3)
| ~ spl130_177 ),
inference(avatar_component_clause,[],[f2304]) ).
fof(f2306,plain,
( e3 != op(e3,e3)
| spl130_177 ),
inference(avatar_component_clause,[],[f2304]) ).
fof(f2309,definition,
( spl130_178
<=> e3 = op(e4,e3) ),
introduced(definition,[new_symbols(definition,[spl130_178])],[avatar_definition]) ).
fof(f2311,plain,
( e3 != op(e4,e3)
| spl130_178 ),
inference(avatar_component_clause,[],[f2309]) ).
fof(f2317,plain,
( e2 = op(e2,e3)
| ~ spl130_22 ),
inference(superposition,[],[f301,f990]) ).
fof(f2333,plain,
( $false
| ~ spl130_22
| spl130_41 ),
inference(forward_subsumption_resolution,[],[f2317,f1110]) ).
fof(f2334,plain,
( ~ spl130_22
| spl130_41 ),
inference(avatar_contradiction_clause,[],[f2333]) ).
fof(f2379,plain,
( e1 = op(e1,e4)
| ~ spl130_27 ),
inference(superposition,[],[f303,f1012]) ).
fof(f2390,plain,
( $false
| ~ spl130_27
| spl130_43 ),
inference(forward_subsumption_resolution,[],[f2379,f1128]) ).
fof(f2391,plain,
( ~ spl130_27
| spl130_43 ),
inference(avatar_contradiction_clause,[],[f2390]) ).
fof(f2413,plain,
( e3 != op(e4,e1)
| e1 = op(e4,e3)
| ~ spl130_122 ),
inference(forward_subsumption_resolution,[],[f788,f1546]) ).
fof(f2416,plain,
( ~ spl130_68
| ~ spl130_7
| ~ spl130_46 ),
inference(avatar_split_clause,[],[f2209,f1145,f923,f1269]) ).
fof(f2434,definition,
( spl130_186
<=> e2 = op(e4,e1) ),
introduced(definition,[new_symbols(definition,[spl130_186])],[avatar_definition]) ).
fof(f2435,plain,
( e2 != op(e4,e1)
| spl130_186 ),
inference(avatar_component_clause,[],[f2434]) ).
fof(f2436,plain,
( e2 = op(e4,e1)
| ~ spl130_186 ),
inference(avatar_component_clause,[],[f2434]) ).
fof(f2438,plain,
( e4 = op(e4,e0)
| ~ spl130_7 ),
inference(superposition,[],[f297,f924]) ).
fof(f2441,plain,
( e3 = op(e0,e3)
| ~ spl130_7 ),
inference(superposition,[],[f300,f924]) ).
fof(f2443,plain,
( e2 = op(e0,e2)
| ~ spl130_7 ),
inference(superposition,[],[f302,f924]) ).
fof(f2445,plain,
( e1 = op(e0,e1)
| ~ spl130_7 ),
inference(superposition,[],[f304,f924]) ).
fof(f2456,plain,
( $false
| ~ spl130_7
| spl130_15 ),
inference(forward_subsumption_resolution,[],[f2445,f960]) ).
fof(f2457,plain,
( ~ spl130_7
| spl130_15 ),
inference(avatar_contradiction_clause,[],[f2456]) ).
fof(f2458,plain,
( $false
| ~ spl130_7
| spl130_174 ),
inference(forward_subsumption_resolution,[],[f2443,f2179]) ).
fof(f2459,plain,
( ~ spl130_7
| spl130_174 ),
inference(avatar_contradiction_clause,[],[f2458]) ).
fof(f2460,plain,
( $false
| ~ spl130_7
| spl130_175 ),
inference(forward_subsumption_resolution,[],[f2441,f2295]) ).
fof(f2461,plain,
( ~ spl130_7
| spl130_175 ),
inference(avatar_contradiction_clause,[],[f2460]) ).
fof(f2462,plain,
( $false
| ~ spl130_7
| spl130_156 ),
inference(forward_subsumption_resolution,[],[f2438,f1935]) ).
fof(f2463,plain,
( ~ spl130_7
| spl130_156 ),
inference(avatar_contradiction_clause,[],[f2462]) ).
fof(f2464,plain,
( $false
| ~ spl130_41 ),
inference(global_subsumption,[],[f1865,f1179,f1125,f1120,f1121,f856,f283]) ).
fof(f2465,plain,
~ spl130_41,
inference(avatar_contradiction_clause,[],[f2464]) ).
fof(f2476,plain,
( e4 != op(e4,e0)
| ~ spl130_31 ),
inference(superposition,[],[f364,f1031]) ).
fof(f2482,plain,
( ~ spl130_156
| ~ spl130_31 ),
inference(avatar_split_clause,[],[f2476,f1029,f1934]) ).
fof(f2488,plain,
( e4 != op(e4,e4)
| ~ spl130_156 ),
inference(superposition,[],[f363,f1936]) ).
fof(f2499,plain,
( e3 = op(e3,e0)
| ~ spl130_7 ),
inference(superposition,[],[f299,f924]) ).
fof(f2530,plain,
( e1 != op(e4,e1)
| ~ spl130_15 ),
inference(superposition,[],[f443,f959]) ).
fof(f2548,plain,
( e3 != op(e4,e3)
| ~ spl130_175 ),
inference(superposition,[],[f423,f2294]) ).
fof(f2557,plain,
( e3 != op(e3,e0)
| ~ spl130_177 ),
inference(superposition,[],[f374,f2305]) ).
fof(f2568,plain,
( $false
| ~ spl130_164
| ~ spl130_177 ),
inference(forward_subsumption_resolution,[],[f2557,f2059]) ).
fof(f2569,plain,
( ~ spl130_164
| ~ spl130_177 ),
inference(avatar_contradiction_clause,[],[f2568]) ).
fof(f2580,definition,
( spl130_188
<=> e4 = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[spl130_188])],[avatar_definition]) ).
fof(f2581,plain,
( e4 != op(e3,e1)
| spl130_188 ),
inference(avatar_component_clause,[],[f2580]) ).
fof(f2582,plain,
( e4 = op(e3,e1)
| ~ spl130_188 ),
inference(avatar_component_clause,[],[f2580]) ).
fof(f2589,plain,
( e4 != op(e3,e2)
| ~ spl130_188 ),
inference(superposition,[],[f372,f2582]) ).
fof(f2600,plain,
( ~ spl130_172
| ~ spl130_188 ),
inference(avatar_split_clause,[],[f2589,f2580,f2147]) ).
fof(f2613,plain,
( e1 = op(e4,e4)
| e2 = op(e4,e4)
| e3 = op(e4,e4)
| e4 = op(e4,e4)
| spl130_157 ),
inference(forward_subsumption_resolution,[],[f271,f1940]) ).
fof(f2614,plain,
( e2 = op(e4,e4)
| e3 = op(e4,e4)
| e4 = op(e4,e4)
| spl130_157
| spl130_163 ),
inference(forward_subsumption_resolution,[],[f2613,f2043]) ).
fof(f2615,plain,
( e3 = op(e4,e4)
| e4 = op(e4,e4)
| spl130_157
| spl130_163 ),
inference(forward_subsumption_resolution,[],[f2614,f1927]) ).
fof(f2616,plain,
( e4 = op(e4,e4)
| spl130_32
| spl130_157
| spl130_163 ),
inference(forward_subsumption_resolution,[],[f2615,f1035]) ).
fof(f2617,plain,
( $false
| spl130_32
| ~ spl130_156
| spl130_157
| spl130_163 ),
inference(forward_subsumption_resolution,[],[f2616,f2488]) ).
fof(f2618,plain,
( spl130_32
| ~ spl130_156
| spl130_157
| spl130_163 ),
inference(avatar_contradiction_clause,[],[f2617]) ).
fof(f2647,definition,
( spl130_191
<=> e0 = op(e4,e3) ),
introduced(definition,[new_symbols(definition,[spl130_191])],[avatar_definition]) ).
fof(f2648,plain,
( e0 = op(e4,e3)
| ~ spl130_191 ),
inference(avatar_component_clause,[],[f2647]) ).
fof(f2649,plain,
( e0 != op(e4,e3)
| spl130_191 ),
inference(avatar_component_clause,[],[f2647]) ).
fof(f2659,definition,
( spl130_192
<=> e2 = op(e4,e3) ),
introduced(definition,[new_symbols(definition,[spl130_192])],[avatar_definition]) ).
fof(f2660,plain,
( e2 = op(e4,e3)
| ~ spl130_192 ),
inference(avatar_component_clause,[],[f2659]) ).
fof(f2682,definition,
( spl130_193
<=> e1 = op(e4,e3) ),
introduced(definition,[new_symbols(definition,[spl130_193])],[avatar_definition]) ).
fof(f2683,plain,
( e1 = op(e4,e3)
| ~ spl130_193 ),
inference(avatar_component_clause,[],[f2682]) ).
fof(f2695,plain,
( ~ spl130_178
| ~ spl130_175 ),
inference(avatar_split_clause,[],[f2548,f2293,f2309]) ).
fof(f2696,plain,
( e0 != op(e4,e4)
| ~ spl130_191 ),
inference(superposition,[],[f357,f2648]) ).
fof(f2705,plain,
( $false
| ~ spl130_157
| ~ spl130_191 ),
inference(forward_subsumption_resolution,[],[f2696,f1939]) ).
fof(f2706,plain,
( ~ spl130_157
| ~ spl130_191 ),
inference(avatar_contradiction_clause,[],[f2705]) ).
fof(f2707,plain,
( e0 = op(e4,e3)
| e1 = op(e4,e3)
| e2 = op(e4,e3)
| e4 = op(e4,e3)
| spl130_178 ),
inference(forward_subsumption_resolution,[],[f272,f2311]) ).
fof(f2708,plain,
( e0 = op(e4,e3)
| e1 = op(e4,e3)
| e2 = op(e4,e3)
| spl130_31
| spl130_178 ),
inference(forward_subsumption_resolution,[],[f2707,f1030]) ).
fof(f2709,plain,
( e1 = op(e4,e3)
| e2 = op(e4,e3)
| spl130_31
| spl130_178
| spl130_191 ),
inference(forward_subsumption_resolution,[],[f2708,f2649]) ).
fof(f2710,plain,
( spl130_192
| spl130_193
| spl130_31
| spl130_178
| spl130_191 ),
inference(avatar_split_clause,[],[f2709,f2647,f2309,f1029,f2682,f2659]) ).
fof(f2713,plain,
( e2 != op(e4,e1)
| ~ spl130_192 ),
inference(superposition,[],[f361,f2660]) ).
fof(f2719,plain,
( $false
| ~ spl130_186
| ~ spl130_192 ),
inference(forward_subsumption_resolution,[],[f2713,f2436]) ).
fof(f2720,plain,
( ~ spl130_186
| ~ spl130_192 ),
inference(avatar_contradiction_clause,[],[f2719]) ).
fof(f2722,plain,
( e1 = e2
| e3 != op(e4,e1)
| ~ spl130_122
| ~ spl130_192 ),
inference(forward_demodulation,[],[f2413,f2660]) ).
fof(f2723,plain,
( e3 != op(e4,e1)
| ~ spl130_122
| ~ spl130_192 ),
inference(forward_subsumption_resolution,[],[f2722,f462]) ).
fof(f2738,plain,
( $false
| ~ spl130_7
| spl130_164 ),
inference(forward_subsumption_resolution,[],[f2499,f2058]) ).
fof(f2739,plain,
( ~ spl130_7
| spl130_164 ),
inference(avatar_contradiction_clause,[],[f2738]) ).
fof(f2743,plain,
( e3 != op(e3,e2)
| ~ spl130_164 ),
inference(superposition,[],[f375,f2059]) ).
fof(f2755,plain,
( e0 != op(e3,e2)
| ~ spl130_165 ),
inference(superposition,[],[f369,f2062]) ).
fof(f2798,plain,
( e1 = op(e4,e1)
| e2 = op(e4,e1)
| e3 = op(e4,e1)
| e4 = op(e4,e1)
| ~ spl130_46 ),
inference(forward_subsumption_resolution,[],[f274,f1674]) ).
fof(f2799,plain,
( e2 = op(e4,e1)
| e3 = op(e4,e1)
| e4 = op(e4,e1)
| ~ spl130_15
| ~ spl130_46 ),
inference(forward_subsumption_resolution,[],[f2798,f2530]) ).
fof(f2800,plain,
( e3 = op(e4,e1)
| e4 = op(e4,e1)
| ~ spl130_15
| ~ spl130_46
| spl130_186 ),
inference(forward_subsumption_resolution,[],[f2799,f2435]) ).
fof(f2801,plain,
( e4 = op(e4,e1)
| ~ spl130_15
| ~ spl130_46
| ~ spl130_122
| spl130_186
| ~ spl130_192 ),
inference(forward_subsumption_resolution,[],[f2800,f2723]) ).
fof(f2802,plain,
( $false
| ~ spl130_15
| ~ spl130_46
| ~ spl130_122
| spl130_162
| spl130_186
| ~ spl130_192 ),
inference(forward_subsumption_resolution,[],[f2801,f2038]) ).
fof(f2803,plain,
( ~ spl130_15
| ~ spl130_46
| ~ spl130_122
| spl130_162
| spl130_186
| ~ spl130_192 ),
inference(avatar_contradiction_clause,[],[f2802]) ).
fof(f2822,plain,
( e1 != op(e4,e2)
| ~ spl130_193 ),
inference(superposition,[],[f359,f2683]) ).
fof(f2830,plain,
( $false
| ~ spl130_193 ),
inference(forward_subsumption_resolution,[],[f2822,f892]) ).
fof(f2831,plain,
~ spl130_193,
inference(avatar_contradiction_clause,[],[f2830]) ).
fof(f2835,plain,
( ~ sP125
| spl130_171 ),
inference(forward_subsumption_resolution,[],[f577,f2145]) ).
fof(f2846,plain,
( ~ spl130_1
| spl130_171 ),
inference(avatar_split_clause,[],[f2835,f2143,f898]) ).
fof(f2927,plain,
( ~ spl130_35
| ~ spl130_164 ),
inference(avatar_split_clause,[],[f2743,f2057,f1066]) ).
fof(f2935,plain,
( ~ spl130_143
| ~ spl130_165 ),
inference(avatar_split_clause,[],[f2755,f2061,f1734]) ).
fof(f2942,plain,
( e1 != op(e4,e2)
| ~ spl130_161 ),
inference(superposition,[],[f427,f2012]) ).
fof(f2950,plain,
( $false
| ~ spl130_161 ),
inference(forward_subsumption_resolution,[],[f2942,f892]) ).
fof(f2951,plain,
~ spl130_161,
inference(avatar_contradiction_clause,[],[f2950]) ).
fof(f2953,plain,
( e0 = op(e3,e3)
| e2 = op(e3,e3)
| e3 = op(e3,e3)
| e4 = op(e3,e3)
| spl130_38 ),
inference(forward_subsumption_resolution,[],[f277,f1085]) ).
fof(f2955,plain,
( e1 = op(e3,e2)
| e2 = op(e3,e2)
| e3 = op(e3,e2)
| e4 = op(e3,e2)
| spl130_143 ),
inference(forward_subsumption_resolution,[],[f278,f1736]) ).
fof(f2958,plain,
( e0 = op(e3,e3)
| e2 = op(e3,e3)
| e4 = op(e3,e3)
| spl130_38
| spl130_177 ),
inference(forward_subsumption_resolution,[],[f2953,f2306]) ).
fof(f2959,plain,
( e1 = op(e3,e2)
| e2 = op(e3,e2)
| e4 = op(e3,e2)
| spl130_35
| spl130_143 ),
inference(forward_subsumption_resolution,[],[f2955,f1067]) ).
fof(f2960,plain,
( e0 = op(e3,e3)
| e2 = op(e3,e3)
| spl130_34
| spl130_38
| spl130_177 ),
inference(forward_subsumption_resolution,[],[f2958,f1052]) ).
fof(f2979,plain,
( e2 = op(e3,e3)
| spl130_34
| spl130_38
| spl130_165
| spl130_177 ),
inference(forward_subsumption_resolution,[],[f2960,f2063]) ).
fof(f2980,plain,
( $false
| spl130_34
| spl130_36
| spl130_38
| spl130_165
| spl130_177 ),
inference(forward_subsumption_resolution,[],[f2979,f1072]) ).
fof(f2981,plain,
( spl130_34
| spl130_36
| spl130_38
| spl130_165
| spl130_177 ),
inference(avatar_contradiction_clause,[],[f2980]) ).
fof(f2988,plain,
( e3 != op(e3,e0)
| ~ spl130_37 ),
inference(superposition,[],[f376,f1081]) ).
fof(f2999,plain,
( $false
| ~ spl130_37
| ~ spl130_164 ),
inference(forward_subsumption_resolution,[],[f2988,f2059]) ).
fof(f3000,plain,
( ~ spl130_37
| ~ spl130_164 ),
inference(avatar_contradiction_clause,[],[f2999]) ).
fof(f3001,plain,
( e2 = op(e3,e2)
| e4 = op(e3,e2)
| spl130_35
| spl130_143
| spl130_161 ),
inference(forward_subsumption_resolution,[],[f2959,f2013]) ).
fof(f3008,plain,
( e0 != op(e3,e1)
| ~ spl130_165 ),
inference(superposition,[],[f371,f2062]) ).
fof(f3050,plain,
( e0 = op(e3,e1)
| e1 = op(e3,e1)
| e3 = op(e3,e1)
| e4 = op(e3,e1)
| spl130_160 ),
inference(forward_subsumption_resolution,[],[f279,f2008]) ).
fof(f3052,plain,
( e0 = op(e3,e1)
| e1 = op(e3,e1)
| e4 = op(e3,e1)
| spl130_37
| spl130_160 ),
inference(forward_subsumption_resolution,[],[f3050,f1080]) ).
fof(f3053,plain,
( e0 = op(e3,e1)
| e1 = op(e3,e1)
| spl130_37
| spl130_160
| spl130_188 ),
inference(forward_subsumption_resolution,[],[f3052,f2581]) ).
fof(f3054,plain,
( e1 = op(e3,e1)
| spl130_37
| spl130_160
| ~ spl130_165
| spl130_188 ),
inference(forward_subsumption_resolution,[],[f3053,f3008]) ).
fof(f3061,plain,
( e1 != op(e0,e1)
| spl130_37
| spl130_160
| ~ spl130_165
| spl130_188 ),
inference(superposition,[],[f444,f3054]) ).
fof(f3066,plain,
( $false
| ~ spl130_15
| spl130_37
| spl130_160
| ~ spl130_165
| spl130_188 ),
inference(forward_subsumption_resolution,[],[f3061,f959]) ).
fof(f3067,plain,
( ~ spl130_15
| spl130_37
| spl130_160
| ~ spl130_165
| spl130_188 ),
inference(avatar_contradiction_clause,[],[f3066]) ).
fof(f3076,plain,
( e2 = op(e3,e2)
| spl130_35
| spl130_143
| spl130_161
| spl130_172 ),
inference(forward_subsumption_resolution,[],[f3001,f2149]) ).
fof(f3080,plain,
( e2 != op(e0,e2)
| spl130_35
| spl130_143
| spl130_161
| spl130_172 ),
inference(superposition,[],[f434,f3076]) ).
fof(f3085,plain,
( $false
| spl130_35
| spl130_143
| spl130_161
| spl130_172
| ~ spl130_174 ),
inference(forward_subsumption_resolution,[],[f3080,f2178]) ).
fof(f3086,plain,
( spl130_35
| spl130_143
| spl130_161
| spl130_172
| ~ spl130_174 ),
inference(avatar_contradiction_clause,[],[f3085]) ).
cnf(s630,plain,
( spl130_1
| spl130_2
| spl130_3
| spl130_4
| spl130_5 ),
inference(sat_conversion,[],[f917]) ).
cnf(s752,plain,
( spl130_31
| ~ spl130_32 ),
inference(sat_conversion,[],[f1036]) ).
cnf(s772,plain,
( spl130_33
| ~ spl130_34 ),
inference(sat_conversion,[],[f1053]) ).
cnf(s782,plain,
~ spl130_33,
inference(sat_conversion,[],[f1064]) ).
cnf(s788,plain,
( spl130_35
| ~ spl130_36 ),
inference(sat_conversion,[],[f1073]) ).
cnf(s800,plain,
( spl130_37
| ~ spl130_38 ),
inference(sat_conversion,[],[f1086]) ).
cnf(s863,plain,
( spl130_45
| ~ spl130_46 ),
inference(sat_conversion,[],[f1148]) ).
cnf(s866,plain,
( ~ spl130_43
| ~ spl130_45 ),
inference(sat_conversion,[],[f1155]) ).
cnf(s978,plain,
( ~ spl130_5
| spl130_68 ),
inference(sat_conversion,[],[f1272]) ).
cnf(s1010,plain,
( ~ spl130_4
| spl130_75 ),
inference(sat_conversion,[],[f1308]) ).
cnf(s1130,plain,
( ~ spl130_3
| spl130_104 ),
inference(sat_conversion,[],[f1454]) ).
cnf(s1212,plain,
( ~ spl130_2
| spl130_122 ),
inference(sat_conversion,[],[f1547]) ).
cnf(s1384,plain,
spl130_46,
inference(sat_conversion,[],[f1670]) ).
cnf(s1673,plain,
( ~ spl130_75
| ~ spl130_160 ),
inference(sat_conversion,[],[f2025]) ).
cnf(s1709,plain,
( spl130_162
| ~ spl130_163 ),
inference(sat_conversion,[],[f2044]) ).
cnf(s1713,plain,
( ~ spl130_156
| ~ spl130_162 ),
inference(sat_conversion,[],[f2052]) ).
cnf(s1771,plain,
( ~ spl130_104
| ~ spl130_160
| spl130_161 ),
inference(sat_conversion,[],[f2115]) ).
cnf(s1788,plain,
( ~ spl130_160
| ~ spl130_171
| ~ spl130_172 ),
inference(sat_conversion,[],[f2150]) ).
cnf(s1796,plain,
( spl130_7
| spl130_12
| spl130_17
| spl130_22
| spl130_27 ),
inference(sat_conversion,[],[f2164]) ).
cnf(s1807,plain,
( ~ spl130_17
| ~ spl130_45 ),
inference(sat_conversion,[],[f2199]) ).
cnf(s1841,plain,
( ~ spl130_12
| ~ spl130_46 ),
inference(sat_conversion,[],[f2272]) ).
cnf(s1882,plain,
( ~ spl130_22
| spl130_41 ),
inference(sat_conversion,[],[f2334]) ).
cnf(s1906,plain,
( ~ spl130_27
| spl130_43 ),
inference(sat_conversion,[],[f2391]) ).
cnf(s1947,plain,
( ~ spl130_7
| ~ spl130_46
| ~ spl130_68 ),
inference(sat_conversion,[],[f2416]) ).
cnf(s1979,plain,
( ~ spl130_7
| spl130_15 ),
inference(sat_conversion,[],[f2457]) ).
cnf(s1980,plain,
( ~ spl130_7
| spl130_174 ),
inference(sat_conversion,[],[f2459]) ).
cnf(s1981,plain,
( ~ spl130_7
| spl130_175 ),
inference(sat_conversion,[],[f2461]) ).
cnf(s1983,plain,
( ~ spl130_7
| spl130_156 ),
inference(sat_conversion,[],[f2463]) ).
cnf(s1989,plain,
~ spl130_41,
inference(sat_conversion,[],[f2465]) ).
cnf(s2029,plain,
( ~ spl130_31
| ~ spl130_156 ),
inference(sat_conversion,[],[f2482]) ).
cnf(s2062,plain,
( ~ spl130_164
| ~ spl130_177 ),
inference(sat_conversion,[],[f2569]) ).
cnf(s2081,plain,
( ~ spl130_172
| ~ spl130_188 ),
inference(sat_conversion,[],[f2600]) ).
cnf(s2097,plain,
( spl130_32
| ~ spl130_156
| spl130_157
| spl130_163 ),
inference(sat_conversion,[],[f2618]) ).
cnf(s2193,plain,
( ~ spl130_175
| ~ spl130_178 ),
inference(sat_conversion,[],[f2695]) ).
cnf(s2198,plain,
( ~ spl130_157
| ~ spl130_191 ),
inference(sat_conversion,[],[f2706]) ).
cnf(s2215,plain,
( spl130_31
| spl130_178
| spl130_191
| spl130_192
| spl130_193 ),
inference(sat_conversion,[],[f2710]) ).
cnf(s2217,plain,
( ~ spl130_186
| ~ spl130_192 ),
inference(sat_conversion,[],[f2720]) ).
cnf(s2238,plain,
( ~ spl130_7
| spl130_164 ),
inference(sat_conversion,[],[f2739]) ).
cnf(s2267,plain,
( ~ spl130_15
| ~ spl130_46
| ~ spl130_122
| spl130_162
| spl130_186
| ~ spl130_192 ),
inference(sat_conversion,[],[f2803]) ).
cnf(s2289,plain,
~ spl130_193,
inference(sat_conversion,[],[f2831]) ).
cnf(s2343,plain,
( ~ spl130_1
| spl130_171 ),
inference(sat_conversion,[],[f2846]) ).
cnf(s2451,plain,
( ~ spl130_35
| ~ spl130_164 ),
inference(sat_conversion,[],[f2927]) ).
cnf(s2462,plain,
( ~ spl130_143
| ~ spl130_165 ),
inference(sat_conversion,[],[f2935]) ).
cnf(s2476,plain,
~ spl130_161,
inference(sat_conversion,[],[f2951]) ).
cnf(s2496,plain,
( spl130_34
| spl130_36
| spl130_38
| spl130_165
| spl130_177 ),
inference(sat_conversion,[],[f2981]) ).
cnf(s2504,plain,
( ~ spl130_37
| ~ spl130_164 ),
inference(sat_conversion,[],[f3000]) ).
cnf(s2529,plain,
( ~ spl130_15
| spl130_37
| spl130_160
| ~ spl130_165
| spl130_188 ),
inference(sat_conversion,[],[f3067]) ).
cnf(s2548,plain,
( spl130_35
| spl130_143
| spl130_161
| spl130_172
| ~ spl130_174 ),
inference(sat_conversion,[],[f3086]) ).
cnf(s2552,plain,
( spl130_31
| spl130_178
| spl130_191
| spl130_192 ),
inference(rat,[],[s2215,s2289]) ).
cnf(s2554,plain,
~ spl130_22,
inference(rat,[],[s1882,s1989]) ).
cnf(s2555,plain,
( spl130_7
| spl130_12
| spl130_17
| spl130_27 ),
inference(rat,[],[s1796,s2554]) ).
cnf(s2556,plain,
( ~ spl130_104
| ~ spl130_160 ),
inference(rat,[],[s1771,s2476]) ).
cnf(s2559,plain,
~ spl130_12,
inference(rat,[],[s1841,s1384]) ).
cnf(s2561,plain,
spl130_45,
inference(rat,[],[s863,s1384]) ).
cnf(s2562,plain,
~ spl130_17,
inference(rat,[],[s1807,s2561]) ).
cnf(s2564,plain,
~ spl130_43,
inference(rat,[],[s866,s2561]) ).
cnf(s2565,plain,
~ spl130_27,
inference(rat,[],[s1906,s2564]) ).
cnf(s2566,plain,
spl130_7,
inference(rat,[],[s2555,s2562,s2559,s2565]) ).
cnf(s2568,plain,
spl130_164,
inference(rat,[],[s2238,s2566]) ).
cnf(s2570,plain,
spl130_156,
inference(rat,[],[s1983,s2566]) ).
cnf(s2571,plain,
spl130_175,
inference(rat,[],[s1981,s2566]) ).
cnf(s2572,plain,
spl130_174,
inference(rat,[],[s1980,s2566]) ).
cnf(s2573,plain,
spl130_15,
inference(rat,[],[s1979,s2566]) ).
cnf(s2575,plain,
~ spl130_68,
inference(rat,[],[s1947,s1384,s2566]) ).
cnf(s2576,plain,
~ spl130_37,
inference(rat,[],[s2504,s2568]) ).
cnf(s2577,plain,
~ spl130_35,
inference(rat,[],[s2451,s2568]) ).
cnf(s2578,plain,
~ spl130_177,
inference(rat,[],[s2062,s2568]) ).
cnf(s2580,plain,
~ spl130_31,
inference(rat,[],[s2029,s2570]) ).
cnf(s2581,plain,
~ spl130_162,
inference(rat,[],[s1713,s2570]) ).
cnf(s2582,plain,
~ spl130_178,
inference(rat,[],[s2193,s2571]) ).
cnf(s2583,plain,
~ spl130_5,
inference(rat,[],[s978,s2575]) ).
cnf(s2584,plain,
~ spl130_163,
inference(rat,[],[s1709,s2581]) ).
cnf(s2586,plain,
~ spl130_38,
inference(rat,[],[s800,s2576]) ).
cnf(s2587,plain,
~ spl130_36,
inference(rat,[],[s788,s2577]) ).
cnf(s2588,plain,
~ spl130_34,
inference(rat,[],[s772,s782]) ).
cnf(s2589,plain,
spl130_165,
inference(rat,[],[s2496,s2578,s2587,s2586,s2588]) ).
cnf(s2591,plain,
~ spl130_143,
inference(rat,[],[s2462,s2589]) ).
cnf(s2593,plain,
spl130_172,
inference(rat,[],[s2548,s2572,s2577,s2476,s2591]) ).
cnf(s2594,plain,
~ spl130_188,
inference(rat,[],[s2081,s2593]) ).
cnf(s2595,plain,
spl130_160,
inference(rat,[],[s2529,s2589,s2576,s2573,s2594]) ).
cnf(s2596,plain,
~ spl130_171,
inference(rat,[],[s1788,s2593,s2595]) ).
cnf(s2597,plain,
~ spl130_104,
inference(rat,[],[s2556,s2595]) ).
cnf(s2599,plain,
~ spl130_75,
inference(rat,[],[s1673,s2595]) ).
cnf(s2600,plain,
~ spl130_1,
inference(rat,[],[s2343,s2596]) ).
cnf(s2601,plain,
~ spl130_3,
inference(rat,[],[s1130,s2597]) ).
cnf(s2602,plain,
~ spl130_4,
inference(rat,[],[s1010,s2599]) ).
cnf(s2603,plain,
~ spl130_32,
inference(rat,[],[s752,s2580]) ).
cnf(s2604,plain,
spl130_157,
inference(rat,[],[s2097,s2584,s2570,s2603]) ).
cnf(s2605,plain,
~ spl130_191,
inference(rat,[],[s2198,s2604]) ).
cnf(s2607,plain,
spl130_192,
inference(rat,[],[s2552,s2582,s2580,s2605]) ).
cnf(s2608,plain,
~ spl130_186,
inference(rat,[],[s2217,s2607]) ).
cnf(s2610,plain,
~ spl130_122,
inference(rat,[],[s2267,s2607,s2573,s2581,s1384,s2608]) ).
cnf(s2611,plain,
~ spl130_2,
inference(rat,[],[s1212,s2610]) ).
cnf(s2613,plain,
$false,
inference(rat,[],[s630,s2583,s2602,s2601,s2611,s2600]) ).
fof(f3088,plain,
$false,
inference(avatar_sat_refutation,[],[s2613]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG066+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n009.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 19:24:45 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 0.20/0.35 % (3369435)Will run a generic schedule for satisfiability detection.
% 0.20/0.35 % (3369440)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3011218381_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.35 % (3369441)% WARNING: option uhcvi not known.
% 0.20/0.35 % (3369441)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1235357934:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.35 % (3369442)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2965413249:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.35 % (3369443)dis+10_1_sil=32000:sp=arity:random_seed=299593282:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.35 % (3369444)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=882886828:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.35 % (3369445)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1543178113:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.35 % (3369446)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=189232606:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.35 % Detected minimum model sizes of [5]
% 0.20/0.35 % Detected maximum model sizes of [max]
% 0.20/0.35 % TRYING [5]
% 0.20/0.35 % TRYING [6]
% 0.20/0.35 % TRYING [7]
% 0.20/0.35 % TRYING [8]
% 0.20/0.35 % (3369443)Instruction limit reached!
% 0.20/0.35 % (3369443)------------------------------
% 0.20/0.35 % (3369443)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.35 % (3369443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.35 % (3369443)CaDiCaL version: 2.1.3
% 0.20/0.35 % (3369443)Termination reason: Instruction limit
% 0.20/0.35 % (3369443)Termination phase: Saturation
% 0.20/0.35 % (3369443)Time elapsed: 0.055 s
% 0.20/0.35 % (3369443)Peak memory usage: 13 MB
% 0.20/0.35 % (3369443)Instructions burned: 104 (million)
% 0.20/0.35 % (3369442) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3369435-3369442"...
% 0.20/0.35 % (3369444)Instruction limit reached!
% 0.20/0.35 % (3369444)------------------------------
% 0.20/0.35 % (3369444)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.35 % (3369444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.35 % (3369444)CaDiCaL version: 2.1.3
% 0.20/0.35 % (3369444)Termination reason: Instruction limit
% 0.20/0.35 % (3369444)Termination phase: Saturation
% 0.20/0.35 % (3369444)Time elapsed: 0.062 s
% 0.20/0.35 % (3369444)Peak memory usage: 12 MB
% 0.20/0.35 % (3369444)Instructions burned: 121 (million)
% 0.20/0.35 % (3369445)Instruction limit reached!
% 0.20/0.35 % (3369445)------------------------------
% 0.20/0.35 % (3369445)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.35 % (3369445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.35 % (3369445)CaDiCaL version: 2.1.3
% 0.20/0.35 % (3369445)Termination reason: Instruction limit
% 0.20/0.35 % (3369445)Termination phase: Saturation
% 0.20/0.35 % (3369445)Time elapsed: 0.067 s
% 0.20/0.35 % (3369445)Peak memory usage: 13 MB
% 0.20/0.35 % (3369445)Instructions burned: 133 (million)
% 0.20/0.35 % TRYING [9]
% 0.20/0.35 % (3369454)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=59314687:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 0.20/0.35 % (3369442)...printing done.
% 0.20/0.35 % (3369442)Refutation found. Thanks to Tanya!
% 0.20/0.35 % SZS status Theorem for theBenchmark
% 0.20/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.36 % (3369442)------------------------------
% 0.20/0.36 % (3369442)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36 % (3369442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36 % (3369442)CaDiCaL version: 2.1.3
% 0.20/0.36 % (3369442)Termination reason: Refutation
% 0.20/0.36 % (3369442)Time elapsed: 0.077 s
% 0.20/0.36 % (3369442)Peak memory usage: 14 MB
% 0.20/0.36 % (3369442)Instructions burned: 152 (million)
% 0.20/0.36 % (3369435)Success in time 0.128 s
% 0.20/0.36 % Vampire exiting
%------------------------------------------------------------------------------