%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ALG058+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 09:21:01 AM UTC 2026
% Result : Theorem 1.06s 0.38s
% Output : Refutation 1.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 219
% Syntax : Number of formulae : 689 ( 103 unt; 213 def)
% Number of atoms : 4152 (2395 equ)
% Maximal formula atoms : 450 ( 6 avg)
% Number of connectives : 5377 (1914 ~;1898 |;1506 &)
% ( 59 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 215 ( 213 usr; 214 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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f4,axiom,
( op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e2,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e3,e0) != op(e4,e0)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e4,e1)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e3,e1) != op(e4,e1)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e4,e2)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e3,e2) != op(e4,e2)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e4,e3)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e3,e3) != op(e4,e3)
& op(e0,e4) != op(e1,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e4,e4)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,e4)
& op(e3,e4) != op(e4,e4)
& op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e4)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& op(e0,e3) != op(e0,e4)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e3) != op(e1,e4)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e4)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e3) != op(e2,e4)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e4)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e3) != op(e3,e4)
& op(e4,e0) != op(e4,e1)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e4)
& op(e4,e1) != op(e4,e2)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e2) != op(e4,e4)
& op(e4,e3) != op(e4,e4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(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/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f6,axiom,
( e0 = op(op(op(e2,e2),e2),op(op(e2,e2),e2))
& e1 = op(op(e2,e2),e2)
& e3 = op(e2,e2)
& e4 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f7,conjecture,
~ ( ( ( ( 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 ) ) ) )
& ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f8,negated_conjecture,
~ ~ ( ( ( ( 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 ) ) ) )
& ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) ) ),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f9,plain,
( ( ( ( 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 ) ) ) )
& ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) ) ),
inference(flattening,[],[f8]) ).
fof(f10,definition,
( ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 )
| ~ sP0 ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f11,definition,
( ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ~ sP1 ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f12,definition,
( ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ~ sP2 ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f13,definition,
( ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ~ sP3 ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f14,definition,
( ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ~ sP4 ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f15,definition,
( ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ~ sP5 ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f16,definition,
( ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ~ sP6 ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f17,definition,
( ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ~ sP7 ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f18,definition,
( ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ~ sP8 ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f19,definition,
( ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ~ sP9 ),
introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).
fof(f20,definition,
( ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ~ sP10 ),
introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).
fof(f21,definition,
( ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ~ sP11 ),
introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).
fof(f22,definition,
( ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ~ sP12 ),
introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).
fof(f23,definition,
( ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ~ sP13 ),
introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).
fof(f24,definition,
( ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ~ sP14 ),
introduced(definition,[new_symbols(definition,[sP14])],[predicate_definition_introduction]) ).
fof(f25,definition,
( ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ~ sP15 ),
introduced(definition,[new_symbols(definition,[sP15])],[predicate_definition_introduction]) ).
fof(f26,definition,
( ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ~ sP16 ),
introduced(definition,[new_symbols(definition,[sP16])],[predicate_definition_introduction]) ).
fof(f27,definition,
( ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ~ sP17 ),
introduced(definition,[new_symbols(definition,[sP17])],[predicate_definition_introduction]) ).
fof(f28,definition,
( ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ~ sP18 ),
introduced(definition,[new_symbols(definition,[sP18])],[predicate_definition_introduction]) ).
fof(f29,definition,
( ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ~ sP19 ),
introduced(definition,[new_symbols(definition,[sP19])],[predicate_definition_introduction]) ).
fof(f30,definition,
( ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ~ sP20 ),
introduced(definition,[new_symbols(definition,[sP20])],[predicate_definition_introduction]) ).
fof(f31,definition,
( ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ~ sP21 ),
introduced(definition,[new_symbols(definition,[sP21])],[predicate_definition_introduction]) ).
fof(f32,definition,
( ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ~ sP22 ),
introduced(definition,[new_symbols(definition,[sP22])],[predicate_definition_introduction]) ).
fof(f33,definition,
( ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ~ sP23 ),
introduced(definition,[new_symbols(definition,[sP23])],[predicate_definition_introduction]) ).
fof(f34,definition,
( op(e4,e4) != e4
| ( op(e4,e4) = e4
& e4 != unit )
| ~ sP24 ),
introduced(definition,[new_symbols(definition,[sP24])],[predicate_definition_introduction]) ).
fof(f35,definition,
( op(e4,e3) != e4
| ( op(e4,e4) = e3
& e4 != unit )
| ~ sP25 ),
introduced(definition,[new_symbols(definition,[sP25])],[predicate_definition_introduction]) ).
fof(f36,definition,
( op(e4,e2) != e4
| ( op(e4,e4) = e2
& e4 != unit )
| ~ sP26 ),
introduced(definition,[new_symbols(definition,[sP26])],[predicate_definition_introduction]) ).
fof(f37,definition,
( op(e4,e1) != e4
| ( op(e4,e4) = e1
& e4 != unit )
| ~ sP27 ),
introduced(definition,[new_symbols(definition,[sP27])],[predicate_definition_introduction]) ).
fof(f38,definition,
( op(e4,e0) != e4
| ( op(e4,e4) = e0
& e4 != unit )
| ~ sP28 ),
introduced(definition,[new_symbols(definition,[sP28])],[predicate_definition_introduction]) ).
fof(f39,definition,
( op(e3,e4) != e4
| ( op(e3,e4) = e4
& e4 != unit )
| ~ sP29 ),
introduced(definition,[new_symbols(definition,[sP29])],[predicate_definition_introduction]) ).
fof(f40,definition,
( op(e3,e3) != e4
| ( op(e3,e4) = e3
& e4 != unit )
| ~ sP30 ),
introduced(definition,[new_symbols(definition,[sP30])],[predicate_definition_introduction]) ).
fof(f41,definition,
( op(e3,e2) != e4
| ( op(e3,e4) = e2
& e4 != unit )
| ~ sP31 ),
introduced(definition,[new_symbols(definition,[sP31])],[predicate_definition_introduction]) ).
fof(f42,definition,
( op(e3,e1) != e4
| ( op(e3,e4) = e1
& e4 != unit )
| ~ sP32 ),
introduced(definition,[new_symbols(definition,[sP32])],[predicate_definition_introduction]) ).
fof(f43,definition,
( op(e3,e0) != e4
| ( op(e3,e4) = e0
& e4 != unit )
| ~ sP33 ),
introduced(definition,[new_symbols(definition,[sP33])],[predicate_definition_introduction]) ).
fof(f44,definition,
( op(e2,e4) != e4
| ( op(e2,e4) = e4
& e4 != unit )
| ~ sP34 ),
introduced(definition,[new_symbols(definition,[sP34])],[predicate_definition_introduction]) ).
fof(f45,definition,
( op(e2,e3) != e4
| ( op(e2,e4) = e3
& e4 != unit )
| ~ sP35 ),
introduced(definition,[new_symbols(definition,[sP35])],[predicate_definition_introduction]) ).
fof(f46,definition,
( op(e2,e2) != e4
| ( op(e2,e4) = e2
& e4 != unit )
| ~ sP36 ),
introduced(definition,[new_symbols(definition,[sP36])],[predicate_definition_introduction]) ).
fof(f47,definition,
( op(e2,e1) != e4
| ( op(e2,e4) = e1
& e4 != unit )
| ~ sP37 ),
introduced(definition,[new_symbols(definition,[sP37])],[predicate_definition_introduction]) ).
fof(f48,definition,
( op(e2,e0) != e4
| ( op(e2,e4) = e0
& e4 != unit )
| ~ sP38 ),
introduced(definition,[new_symbols(definition,[sP38])],[predicate_definition_introduction]) ).
fof(f49,definition,
( op(e1,e4) != e4
| ( op(e1,e4) = e4
& e4 != unit )
| ~ sP39 ),
introduced(definition,[new_symbols(definition,[sP39])],[predicate_definition_introduction]) ).
fof(f50,definition,
( op(e1,e3) != e4
| ( op(e1,e4) = e3
& e4 != unit )
| ~ sP40 ),
introduced(definition,[new_symbols(definition,[sP40])],[predicate_definition_introduction]) ).
fof(f51,definition,
( op(e1,e2) != e4
| ( op(e1,e4) = e2
& e4 != unit )
| ~ sP41 ),
introduced(definition,[new_symbols(definition,[sP41])],[predicate_definition_introduction]) ).
fof(f52,definition,
( op(e1,e1) != e4
| ( op(e1,e4) = e1
& e4 != unit )
| ~ sP42 ),
introduced(definition,[new_symbols(definition,[sP42])],[predicate_definition_introduction]) ).
fof(f53,definition,
( op(e1,e0) != e4
| ( op(e1,e4) = e0
& e4 != unit )
| ~ sP43 ),
introduced(definition,[new_symbols(definition,[sP43])],[predicate_definition_introduction]) ).
fof(f54,definition,
( op(e0,e4) != e4
| ( op(e0,e4) = e4
& e4 != unit )
| ~ sP44 ),
introduced(definition,[new_symbols(definition,[sP44])],[predicate_definition_introduction]) ).
fof(f55,definition,
( op(e0,e3) != e4
| ( op(e0,e4) = e3
& e4 != unit )
| ~ sP45 ),
introduced(definition,[new_symbols(definition,[sP45])],[predicate_definition_introduction]) ).
fof(f56,definition,
( op(e0,e2) != e4
| ( op(e0,e4) = e2
& e4 != unit )
| ~ sP46 ),
introduced(definition,[new_symbols(definition,[sP46])],[predicate_definition_introduction]) ).
fof(f57,definition,
( op(e0,e1) != e4
| ( op(e0,e4) = e1
& e4 != unit )
| ~ sP47 ),
introduced(definition,[new_symbols(definition,[sP47])],[predicate_definition_introduction]) ).
fof(f58,definition,
( op(e0,e0) != e4
| ( op(e0,e4) = e0
& e4 != unit )
| ~ sP48 ),
introduced(definition,[new_symbols(definition,[sP48])],[predicate_definition_introduction]) ).
fof(f59,definition,
( op(e4,e4) != e3
| ( op(e4,e3) = e4
& e3 != unit )
| ~ sP49 ),
introduced(definition,[new_symbols(definition,[sP49])],[predicate_definition_introduction]) ).
fof(f60,definition,
( op(e4,e3) != e3
| ( op(e4,e3) = e3
& e3 != unit )
| ~ sP50 ),
introduced(definition,[new_symbols(definition,[sP50])],[predicate_definition_introduction]) ).
fof(f61,definition,
( op(e4,e2) != e3
| ( op(e4,e3) = e2
& e3 != unit )
| ~ sP51 ),
introduced(definition,[new_symbols(definition,[sP51])],[predicate_definition_introduction]) ).
fof(f62,definition,
( op(e4,e1) != e3
| ( op(e4,e3) = e1
& e3 != unit )
| ~ sP52 ),
introduced(definition,[new_symbols(definition,[sP52])],[predicate_definition_introduction]) ).
fof(f63,definition,
( op(e4,e0) != e3
| ( op(e4,e3) = e0
& e3 != unit )
| ~ sP53 ),
introduced(definition,[new_symbols(definition,[sP53])],[predicate_definition_introduction]) ).
fof(f64,definition,
( op(e3,e4) != e3
| ( op(e3,e3) = e4
& e3 != unit )
| ~ sP54 ),
introduced(definition,[new_symbols(definition,[sP54])],[predicate_definition_introduction]) ).
fof(f65,definition,
( op(e3,e3) != e3
| ( op(e3,e3) = e3
& e3 != unit )
| ~ sP55 ),
introduced(definition,[new_symbols(definition,[sP55])],[predicate_definition_introduction]) ).
fof(f66,definition,
( op(e3,e2) != e3
| ( op(e3,e3) = e2
& e3 != unit )
| ~ sP56 ),
introduced(definition,[new_symbols(definition,[sP56])],[predicate_definition_introduction]) ).
fof(f67,definition,
( op(e3,e1) != e3
| ( op(e3,e3) = e1
& e3 != unit )
| ~ sP57 ),
introduced(definition,[new_symbols(definition,[sP57])],[predicate_definition_introduction]) ).
fof(f68,definition,
( op(e3,e0) != e3
| ( op(e3,e3) = e0
& e3 != unit )
| ~ sP58 ),
introduced(definition,[new_symbols(definition,[sP58])],[predicate_definition_introduction]) ).
fof(f69,definition,
( op(e2,e4) != e3
| ( op(e2,e3) = e4
& e3 != unit )
| ~ sP59 ),
introduced(definition,[new_symbols(definition,[sP59])],[predicate_definition_introduction]) ).
fof(f70,definition,
( op(e2,e3) != e3
| ( op(e2,e3) = e3
& e3 != unit )
| ~ sP60 ),
introduced(definition,[new_symbols(definition,[sP60])],[predicate_definition_introduction]) ).
fof(f71,definition,
( op(e2,e2) != e3
| ( op(e2,e3) = e2
& e3 != unit )
| ~ sP61 ),
introduced(definition,[new_symbols(definition,[sP61])],[predicate_definition_introduction]) ).
fof(f72,definition,
( op(e2,e1) != e3
| ( op(e2,e3) = e1
& e3 != unit )
| ~ sP62 ),
introduced(definition,[new_symbols(definition,[sP62])],[predicate_definition_introduction]) ).
fof(f73,definition,
( op(e2,e0) != e3
| ( op(e2,e3) = e0
& e3 != unit )
| ~ sP63 ),
introduced(definition,[new_symbols(definition,[sP63])],[predicate_definition_introduction]) ).
fof(f74,definition,
( op(e1,e4) != e3
| ( op(e1,e3) = e4
& e3 != unit )
| ~ sP64 ),
introduced(definition,[new_symbols(definition,[sP64])],[predicate_definition_introduction]) ).
fof(f75,definition,
( op(e1,e3) != e3
| ( op(e1,e3) = e3
& e3 != unit )
| ~ sP65 ),
introduced(definition,[new_symbols(definition,[sP65])],[predicate_definition_introduction]) ).
fof(f76,definition,
( op(e1,e2) != e3
| ( op(e1,e3) = e2
& e3 != unit )
| ~ sP66 ),
introduced(definition,[new_symbols(definition,[sP66])],[predicate_definition_introduction]) ).
fof(f77,definition,
( op(e1,e1) != e3
| ( op(e1,e3) = e1
& e3 != unit )
| ~ sP67 ),
introduced(definition,[new_symbols(definition,[sP67])],[predicate_definition_introduction]) ).
fof(f78,definition,
( op(e1,e0) != e3
| ( op(e1,e3) = e0
& e3 != unit )
| ~ sP68 ),
introduced(definition,[new_symbols(definition,[sP68])],[predicate_definition_introduction]) ).
fof(f79,definition,
( op(e0,e4) != e3
| ( op(e0,e3) = e4
& e3 != unit )
| ~ sP69 ),
introduced(definition,[new_symbols(definition,[sP69])],[predicate_definition_introduction]) ).
fof(f80,definition,
( op(e0,e3) != e3
| ( op(e0,e3) = e3
& e3 != unit )
| ~ sP70 ),
introduced(definition,[new_symbols(definition,[sP70])],[predicate_definition_introduction]) ).
fof(f81,definition,
( op(e0,e2) != e3
| ( op(e0,e3) = e2
& e3 != unit )
| ~ sP71 ),
introduced(definition,[new_symbols(definition,[sP71])],[predicate_definition_introduction]) ).
fof(f82,definition,
( op(e0,e1) != e3
| ( op(e0,e3) = e1
& e3 != unit )
| ~ sP72 ),
introduced(definition,[new_symbols(definition,[sP72])],[predicate_definition_introduction]) ).
fof(f83,definition,
( op(e0,e0) != e3
| ( op(e0,e3) = e0
& e3 != unit )
| ~ sP73 ),
introduced(definition,[new_symbols(definition,[sP73])],[predicate_definition_introduction]) ).
fof(f84,definition,
( op(e4,e4) != e2
| ( op(e4,e2) = e4
& e2 != unit )
| ~ sP74 ),
introduced(definition,[new_symbols(definition,[sP74])],[predicate_definition_introduction]) ).
fof(f85,definition,
( op(e4,e3) != e2
| ( op(e4,e2) = e3
& e2 != unit )
| ~ sP75 ),
introduced(definition,[new_symbols(definition,[sP75])],[predicate_definition_introduction]) ).
fof(f86,definition,
( op(e4,e2) != e2
| ( op(e4,e2) = e2
& e2 != unit )
| ~ sP76 ),
introduced(definition,[new_symbols(definition,[sP76])],[predicate_definition_introduction]) ).
fof(f87,definition,
( op(e4,e1) != e2
| ( op(e4,e2) = e1
& e2 != unit )
| ~ sP77 ),
introduced(definition,[new_symbols(definition,[sP77])],[predicate_definition_introduction]) ).
fof(f88,definition,
( op(e4,e0) != e2
| ( op(e4,e2) = e0
& e2 != unit )
| ~ sP78 ),
introduced(definition,[new_symbols(definition,[sP78])],[predicate_definition_introduction]) ).
fof(f89,definition,
( op(e3,e4) != e2
| ( op(e3,e2) = e4
& e2 != unit )
| ~ sP79 ),
introduced(definition,[new_symbols(definition,[sP79])],[predicate_definition_introduction]) ).
fof(f90,definition,
( op(e3,e3) != e2
| ( op(e3,e2) = e3
& e2 != unit )
| ~ sP80 ),
introduced(definition,[new_symbols(definition,[sP80])],[predicate_definition_introduction]) ).
fof(f91,definition,
( op(e3,e2) != e2
| ( op(e3,e2) = e2
& e2 != unit )
| ~ sP81 ),
introduced(definition,[new_symbols(definition,[sP81])],[predicate_definition_introduction]) ).
fof(f92,definition,
( op(e3,e1) != e2
| ( op(e3,e2) = e1
& e2 != unit )
| ~ sP82 ),
introduced(definition,[new_symbols(definition,[sP82])],[predicate_definition_introduction]) ).
fof(f93,definition,
( op(e3,e0) != e2
| ( op(e3,e2) = e0
& e2 != unit )
| ~ sP83 ),
introduced(definition,[new_symbols(definition,[sP83])],[predicate_definition_introduction]) ).
fof(f94,definition,
( op(e2,e4) != e2
| ( op(e2,e2) = e4
& e2 != unit )
| ~ sP84 ),
introduced(definition,[new_symbols(definition,[sP84])],[predicate_definition_introduction]) ).
fof(f95,definition,
( op(e2,e3) != e2
| ( op(e2,e2) = e3
& e2 != unit )
| ~ sP85 ),
introduced(definition,[new_symbols(definition,[sP85])],[predicate_definition_introduction]) ).
fof(f96,definition,
( op(e2,e2) != e2
| ( op(e2,e2) = e2
& e2 != unit )
| ~ sP86 ),
introduced(definition,[new_symbols(definition,[sP86])],[predicate_definition_introduction]) ).
fof(f97,definition,
( op(e2,e1) != e2
| ( op(e2,e2) = e1
& e2 != unit )
| ~ sP87 ),
introduced(definition,[new_symbols(definition,[sP87])],[predicate_definition_introduction]) ).
fof(f98,definition,
( op(e2,e0) != e2
| ( op(e2,e2) = e0
& e2 != unit )
| ~ sP88 ),
introduced(definition,[new_symbols(definition,[sP88])],[predicate_definition_introduction]) ).
fof(f99,definition,
( op(e1,e4) != e2
| ( op(e1,e2) = e4
& e2 != unit )
| ~ sP89 ),
introduced(definition,[new_symbols(definition,[sP89])],[predicate_definition_introduction]) ).
fof(f100,definition,
( op(e1,e3) != e2
| ( op(e1,e2) = e3
& e2 != unit )
| ~ sP90 ),
introduced(definition,[new_symbols(definition,[sP90])],[predicate_definition_introduction]) ).
fof(f101,definition,
( op(e1,e2) != e2
| ( op(e1,e2) = e2
& e2 != unit )
| ~ sP91 ),
introduced(definition,[new_symbols(definition,[sP91])],[predicate_definition_introduction]) ).
fof(f102,definition,
( op(e1,e1) != e2
| ( op(e1,e2) = e1
& e2 != unit )
| ~ sP92 ),
introduced(definition,[new_symbols(definition,[sP92])],[predicate_definition_introduction]) ).
fof(f103,definition,
( op(e1,e0) != e2
| ( op(e1,e2) = e0
& e2 != unit )
| ~ sP93 ),
introduced(definition,[new_symbols(definition,[sP93])],[predicate_definition_introduction]) ).
fof(f104,definition,
( op(e0,e4) != e2
| ( op(e0,e2) = e4
& e2 != unit )
| ~ sP94 ),
introduced(definition,[new_symbols(definition,[sP94])],[predicate_definition_introduction]) ).
fof(f105,definition,
( op(e0,e3) != e2
| ( op(e0,e2) = e3
& e2 != unit )
| ~ sP95 ),
introduced(definition,[new_symbols(definition,[sP95])],[predicate_definition_introduction]) ).
fof(f106,definition,
( op(e0,e2) != e2
| ( op(e0,e2) = e2
& e2 != unit )
| ~ sP96 ),
introduced(definition,[new_symbols(definition,[sP96])],[predicate_definition_introduction]) ).
fof(f107,definition,
( op(e0,e1) != e2
| ( op(e0,e2) = e1
& e2 != unit )
| ~ sP97 ),
introduced(definition,[new_symbols(definition,[sP97])],[predicate_definition_introduction]) ).
fof(f108,definition,
( op(e0,e0) != e2
| ( op(e0,e2) = e0
& e2 != unit )
| ~ sP98 ),
introduced(definition,[new_symbols(definition,[sP98])],[predicate_definition_introduction]) ).
fof(f109,definition,
( op(e4,e4) != e1
| ( op(e4,e1) = e4
& e1 != unit )
| ~ sP99 ),
introduced(definition,[new_symbols(definition,[sP99])],[predicate_definition_introduction]) ).
fof(f110,definition,
( op(e4,e3) != e1
| ( op(e4,e1) = e3
& e1 != unit )
| ~ sP100 ),
introduced(definition,[new_symbols(definition,[sP100])],[predicate_definition_introduction]) ).
fof(f111,definition,
( op(e4,e2) != e1
| ( op(e4,e1) = e2
& e1 != unit )
| ~ sP101 ),
introduced(definition,[new_symbols(definition,[sP101])],[predicate_definition_introduction]) ).
fof(f112,definition,
( op(e4,e1) != e1
| ( op(e4,e1) = e1
& e1 != unit )
| ~ sP102 ),
introduced(definition,[new_symbols(definition,[sP102])],[predicate_definition_introduction]) ).
fof(f113,definition,
( op(e4,e0) != e1
| ( op(e4,e1) = e0
& e1 != unit )
| ~ sP103 ),
introduced(definition,[new_symbols(definition,[sP103])],[predicate_definition_introduction]) ).
fof(f114,definition,
( op(e3,e4) != e1
| ( op(e3,e1) = e4
& e1 != unit )
| ~ sP104 ),
introduced(definition,[new_symbols(definition,[sP104])],[predicate_definition_introduction]) ).
fof(f115,definition,
( op(e3,e3) != e1
| ( op(e3,e1) = e3
& e1 != unit )
| ~ sP105 ),
introduced(definition,[new_symbols(definition,[sP105])],[predicate_definition_introduction]) ).
fof(f116,definition,
( op(e3,e2) != e1
| ( op(e3,e1) = e2
& e1 != unit )
| ~ sP106 ),
introduced(definition,[new_symbols(definition,[sP106])],[predicate_definition_introduction]) ).
fof(f117,definition,
( op(e3,e1) != e1
| ( op(e3,e1) = e1
& e1 != unit )
| ~ sP107 ),
introduced(definition,[new_symbols(definition,[sP107])],[predicate_definition_introduction]) ).
fof(f118,definition,
( op(e3,e0) != e1
| ( op(e3,e1) = e0
& e1 != unit )
| ~ sP108 ),
introduced(definition,[new_symbols(definition,[sP108])],[predicate_definition_introduction]) ).
fof(f119,definition,
( op(e2,e4) != e1
| ( op(e2,e1) = e4
& e1 != unit )
| ~ sP109 ),
introduced(definition,[new_symbols(definition,[sP109])],[predicate_definition_introduction]) ).
fof(f120,definition,
( op(e2,e3) != e1
| ( op(e2,e1) = e3
& e1 != unit )
| ~ sP110 ),
introduced(definition,[new_symbols(definition,[sP110])],[predicate_definition_introduction]) ).
fof(f121,definition,
( op(e2,e2) != e1
| ( op(e2,e1) = e2
& e1 != unit )
| ~ sP111 ),
introduced(definition,[new_symbols(definition,[sP111])],[predicate_definition_introduction]) ).
fof(f122,definition,
( op(e2,e1) != e1
| ( op(e2,e1) = e1
& e1 != unit )
| ~ sP112 ),
introduced(definition,[new_symbols(definition,[sP112])],[predicate_definition_introduction]) ).
fof(f123,definition,
( op(e2,e0) != e1
| ( op(e2,e1) = e0
& e1 != unit )
| ~ sP113 ),
introduced(definition,[new_symbols(definition,[sP113])],[predicate_definition_introduction]) ).
fof(f124,definition,
( op(e1,e4) != e1
| ( op(e1,e1) = e4
& e1 != unit )
| ~ sP114 ),
introduced(definition,[new_symbols(definition,[sP114])],[predicate_definition_introduction]) ).
fof(f125,definition,
( op(e1,e3) != e1
| ( op(e1,e1) = e3
& e1 != unit )
| ~ sP115 ),
introduced(definition,[new_symbols(definition,[sP115])],[predicate_definition_introduction]) ).
fof(f126,definition,
( op(e1,e2) != e1
| ( op(e1,e1) = e2
& e1 != unit )
| ~ sP116 ),
introduced(definition,[new_symbols(definition,[sP116])],[predicate_definition_introduction]) ).
fof(f127,definition,
( op(e1,e1) != e1
| ( op(e1,e1) = e1
& e1 != unit )
| ~ sP117 ),
introduced(definition,[new_symbols(definition,[sP117])],[predicate_definition_introduction]) ).
fof(f128,definition,
( op(e1,e0) != e1
| ( op(e1,e1) = e0
& e1 != unit )
| ~ sP118 ),
introduced(definition,[new_symbols(definition,[sP118])],[predicate_definition_introduction]) ).
fof(f129,definition,
( op(e0,e4) != e1
| ( op(e0,e1) = e4
& e1 != unit )
| ~ sP119 ),
introduced(definition,[new_symbols(definition,[sP119])],[predicate_definition_introduction]) ).
fof(f130,definition,
( op(e0,e3) != e1
| ( op(e0,e1) = e3
& e1 != unit )
| ~ sP120 ),
introduced(definition,[new_symbols(definition,[sP120])],[predicate_definition_introduction]) ).
fof(f131,definition,
( op(e0,e2) != e1
| ( op(e0,e1) = e2
& e1 != unit )
| ~ sP121 ),
introduced(definition,[new_symbols(definition,[sP121])],[predicate_definition_introduction]) ).
fof(f132,definition,
( op(e0,e1) != e1
| ( op(e0,e1) = e1
& e1 != unit )
| ~ sP122 ),
introduced(definition,[new_symbols(definition,[sP122])],[predicate_definition_introduction]) ).
fof(f133,definition,
( op(e0,e0) != e1
| ( op(e0,e1) = e0
& e1 != unit )
| ~ sP123 ),
introduced(definition,[new_symbols(definition,[sP123])],[predicate_definition_introduction]) ).
fof(f134,definition,
( op(e4,e4) != e0
| ( op(e4,e0) = e4
& e0 != unit )
| ~ sP124 ),
introduced(definition,[new_symbols(definition,[sP124])],[predicate_definition_introduction]) ).
fof(f135,definition,
( op(e4,e3) != e0
| ( op(e4,e0) = e3
& e0 != unit )
| ~ sP125 ),
introduced(definition,[new_symbols(definition,[sP125])],[predicate_definition_introduction]) ).
fof(f136,definition,
( op(e4,e2) != e0
| ( op(e4,e0) = e2
& e0 != unit )
| ~ sP126 ),
introduced(definition,[new_symbols(definition,[sP126])],[predicate_definition_introduction]) ).
fof(f137,definition,
( op(e4,e1) != e0
| ( op(e4,e0) = e1
& e0 != unit )
| ~ sP127 ),
introduced(definition,[new_symbols(definition,[sP127])],[predicate_definition_introduction]) ).
fof(f138,definition,
( op(e4,e0) != e0
| ( op(e4,e0) = e0
& e0 != unit )
| ~ sP128 ),
introduced(definition,[new_symbols(definition,[sP128])],[predicate_definition_introduction]) ).
fof(f139,definition,
( op(e3,e4) != e0
| ( op(e3,e0) = e4
& e0 != unit )
| ~ sP129 ),
introduced(definition,[new_symbols(definition,[sP129])],[predicate_definition_introduction]) ).
fof(f140,definition,
( op(e3,e3) != e0
| ( op(e3,e0) = e3
& e0 != unit )
| ~ sP130 ),
introduced(definition,[new_symbols(definition,[sP130])],[predicate_definition_introduction]) ).
fof(f141,definition,
( op(e3,e2) != e0
| ( op(e3,e0) = e2
& e0 != unit )
| ~ sP131 ),
introduced(definition,[new_symbols(definition,[sP131])],[predicate_definition_introduction]) ).
fof(f142,definition,
( op(e3,e1) != e0
| ( op(e3,e0) = e1
& e0 != unit )
| ~ sP132 ),
introduced(definition,[new_symbols(definition,[sP132])],[predicate_definition_introduction]) ).
fof(f143,definition,
( op(e3,e0) != e0
| ( op(e3,e0) = e0
& e0 != unit )
| ~ sP133 ),
introduced(definition,[new_symbols(definition,[sP133])],[predicate_definition_introduction]) ).
fof(f144,definition,
( op(e2,e4) != e0
| ( op(e2,e0) = e4
& e0 != unit )
| ~ sP134 ),
introduced(definition,[new_symbols(definition,[sP134])],[predicate_definition_introduction]) ).
fof(f145,definition,
( op(e2,e3) != e0
| ( op(e2,e0) = e3
& e0 != unit )
| ~ sP135 ),
introduced(definition,[new_symbols(definition,[sP135])],[predicate_definition_introduction]) ).
fof(f146,definition,
( op(e2,e2) != e0
| ( op(e2,e0) = e2
& e0 != unit )
| ~ sP136 ),
introduced(definition,[new_symbols(definition,[sP136])],[predicate_definition_introduction]) ).
fof(f147,definition,
( op(e2,e1) != e0
| ( op(e2,e0) = e1
& e0 != unit )
| ~ sP137 ),
introduced(definition,[new_symbols(definition,[sP137])],[predicate_definition_introduction]) ).
fof(f148,definition,
( op(e2,e0) != e0
| ( op(e2,e0) = e0
& e0 != unit )
| ~ sP138 ),
introduced(definition,[new_symbols(definition,[sP138])],[predicate_definition_introduction]) ).
fof(f149,definition,
( op(e1,e4) != e0
| ( op(e1,e0) = e4
& e0 != unit )
| ~ sP139 ),
introduced(definition,[new_symbols(definition,[sP139])],[predicate_definition_introduction]) ).
fof(f150,definition,
( op(e1,e3) != e0
| ( op(e1,e0) = e3
& e0 != unit )
| ~ sP140 ),
introduced(definition,[new_symbols(definition,[sP140])],[predicate_definition_introduction]) ).
fof(f151,definition,
( op(e1,e2) != e0
| ( op(e1,e0) = e2
& e0 != unit )
| ~ sP141 ),
introduced(definition,[new_symbols(definition,[sP141])],[predicate_definition_introduction]) ).
fof(f152,definition,
( op(e1,e1) != e0
| ( op(e1,e0) = e1
& e0 != unit )
| ~ sP142 ),
introduced(definition,[new_symbols(definition,[sP142])],[predicate_definition_introduction]) ).
fof(f153,definition,
( op(e1,e0) != e0
| ( op(e1,e0) = e0
& e0 != unit )
| ~ sP143 ),
introduced(definition,[new_symbols(definition,[sP143])],[predicate_definition_introduction]) ).
fof(f154,definition,
( op(e0,e4) != e0
| ( op(e0,e0) = e4
& e0 != unit )
| ~ sP144 ),
introduced(definition,[new_symbols(definition,[sP144])],[predicate_definition_introduction]) ).
fof(f155,definition,
( op(e0,e3) != e0
| ( op(e0,e0) = e3
& e0 != unit )
| ~ sP145 ),
introduced(definition,[new_symbols(definition,[sP145])],[predicate_definition_introduction]) ).
fof(f156,definition,
( op(e0,e2) != e0
| ( op(e0,e0) = e2
& e0 != unit )
| ~ sP146 ),
introduced(definition,[new_symbols(definition,[sP146])],[predicate_definition_introduction]) ).
fof(f157,definition,
( op(e0,e1) != e0
| ( op(e0,e0) = e1
& e0 != unit )
| ~ sP147 ),
introduced(definition,[new_symbols(definition,[sP147])],[predicate_definition_introduction]) ).
fof(f158,definition,
( op(e0,e0) != e0
| ( op(e0,e0) = e0
& e0 != unit )
| ~ sP148 ),
introduced(definition,[new_symbols(definition,[sP148])],[predicate_definition_introduction]) ).
fof(f159,definition,
( ( sP48
& sP47
& sP46
& sP45
& sP44
& sP43
& sP42
& sP41
& sP40
& sP39
& sP38
& sP37
& sP36
& sP35
& sP34
& sP33
& sP32
& sP31
& sP30
& sP29
& sP28
& sP27
& sP26
& sP25
& sP24 )
| ~ sP149 ),
introduced(definition,[new_symbols(definition,[sP149])],[predicate_definition_introduction]) ).
fof(f160,definition,
( ( sP73
& sP72
& sP71
& sP70
& sP69
& sP68
& sP67
& sP66
& sP65
& sP64
& sP63
& sP62
& sP61
& sP60
& sP59
& sP58
& sP57
& sP56
& sP55
& sP54
& sP53
& sP52
& sP51
& sP50
& sP49 )
| ~ sP150 ),
introduced(definition,[new_symbols(definition,[sP150])],[predicate_definition_introduction]) ).
fof(f161,definition,
( ( sP98
& sP97
& sP96
& sP95
& sP94
& sP93
& sP92
& sP91
& sP90
& sP89
& sP88
& sP87
& sP86
& sP85
& sP84
& sP83
& sP82
& sP81
& sP80
& sP79
& sP78
& sP77
& sP76
& sP75
& sP74 )
| ~ sP151 ),
introduced(definition,[new_symbols(definition,[sP151])],[predicate_definition_introduction]) ).
fof(f162,definition,
( ( sP123
& sP122
& sP121
& sP120
& sP119
& sP118
& sP117
& sP116
& sP115
& sP114
& sP113
& sP112
& sP111
& sP110
& sP109
& sP108
& sP107
& sP106
& sP105
& sP104
& sP103
& sP102
& sP101
& sP100
& sP99 )
| ~ sP152 ),
introduced(definition,[new_symbols(definition,[sP152])],[predicate_definition_introduction]) ).
fof(f163,definition,
( ( sP148
& sP147
& sP146
& sP145
& sP144
& sP143
& sP142
& sP141
& sP140
& sP139
& sP138
& sP137
& sP136
& sP135
& sP134
& sP133
& sP132
& sP131
& sP130
& sP129
& sP128
& sP127
& sP126
& sP125
& sP124 )
| ~ sP153 ),
introduced(definition,[new_symbols(definition,[sP153])],[predicate_definition_introduction]) ).
fof(f164,plain,
( ( sP153
| sP152
| sP151
| sP150
| sP149 )
& ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ) ),
inference(definition_folding,[],[f9,f163,f162,f161,f160,f159,f158,f157,f156,f155,f154,f153,f152,f151,f150,f149,f148,f147,f146,f145,f144,f143,f142,f141,f140,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(f165,plain,
( ( sP148
& sP147
& sP146
& sP145
& sP144
& sP143
& sP142
& sP141
& sP140
& sP139
& sP138
& sP137
& sP136
& sP135
& sP134
& sP133
& sP132
& sP131
& sP130
& sP129
& sP128
& sP127
& sP126
& sP125
& sP124 )
| ~ sP153 ),
inference(nnf_transformation,[],[f163]) ).
fof(f166,plain,
( ( sP123
& sP122
& sP121
& sP120
& sP119
& sP118
& sP117
& sP116
& sP115
& sP114
& sP113
& sP112
& sP111
& sP110
& sP109
& sP108
& sP107
& sP106
& sP105
& sP104
& sP103
& sP102
& sP101
& sP100
& sP99 )
| ~ sP152 ),
inference(nnf_transformation,[],[f162]) ).
fof(f167,plain,
( ( sP98
& sP97
& sP96
& sP95
& sP94
& sP93
& sP92
& sP91
& sP90
& sP89
& sP88
& sP87
& sP86
& sP85
& sP84
& sP83
& sP82
& sP81
& sP80
& sP79
& sP78
& sP77
& sP76
& sP75
& sP74 )
| ~ sP151 ),
inference(nnf_transformation,[],[f161]) ).
fof(f168,plain,
( ( sP73
& sP72
& sP71
& sP70
& sP69
& sP68
& sP67
& sP66
& sP65
& sP64
& sP63
& sP62
& sP61
& sP60
& sP59
& sP58
& sP57
& sP56
& sP55
& sP54
& sP53
& sP52
& sP51
& sP50
& sP49 )
| ~ sP150 ),
inference(nnf_transformation,[],[f160]) ).
fof(f169,plain,
( ( sP48
& sP47
& sP46
& sP45
& sP44
& sP43
& sP42
& sP41
& sP40
& sP39
& sP38
& sP37
& sP36
& sP35
& sP34
& sP33
& sP32
& sP31
& sP30
& sP29
& sP28
& sP27
& sP26
& sP25
& sP24 )
| ~ sP149 ),
inference(nnf_transformation,[],[f159]) ).
fof(f176,plain,
( op(e1,e1) != e0
| ( op(e1,e0) = e1
& e0 != unit )
| ~ sP142 ),
inference(nnf_transformation,[],[f152]) ).
fof(f195,plain,
( op(e0,e0) != e1
| ( op(e0,e1) = e0
& e1 != unit )
| ~ sP123 ),
inference(nnf_transformation,[],[f133]) ).
fof(f204,plain,
( op(e1,e4) != e1
| ( op(e1,e1) = e4
& e1 != unit )
| ~ sP114 ),
inference(nnf_transformation,[],[f124]) ).
fof(f212,plain,
( op(e3,e2) != e1
| ( op(e3,e1) = e2
& e1 != unit )
| ~ sP106 ),
inference(nnf_transformation,[],[f116]) ).
fof(f230,plain,
( op(e2,e0) != e2
| ( op(e2,e2) = e0
& e2 != unit )
| ~ sP88 ),
inference(nnf_transformation,[],[f98]) ).
fof(f234,plain,
( op(e2,e4) != e2
| ( op(e2,e2) = e4
& e2 != unit )
| ~ sP84 ),
inference(nnf_transformation,[],[f94]) ).
fof(f257,plain,
( op(e2,e2) != e3
| ( op(e2,e3) = e2
& e3 != unit )
| ~ sP61 ),
inference(nnf_transformation,[],[f71]) ).
fof(f260,plain,
( op(e3,e0) != e3
| ( op(e3,e3) = e0
& e3 != unit )
| ~ sP58 ),
inference(nnf_transformation,[],[f68]) ).
fof(f288,plain,
( op(e3,e3) != e4
| ( op(e3,e4) = e3
& e4 != unit )
| ~ sP30 ),
inference(nnf_transformation,[],[f40]) ).
fof(f295,plain,
( ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ~ sP23 ),
inference(nnf_transformation,[],[f33]) ).
fof(f296,plain,
( ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ~ sP22 ),
inference(nnf_transformation,[],[f32]) ).
fof(f297,plain,
( ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ~ sP21 ),
inference(nnf_transformation,[],[f31]) ).
fof(f298,plain,
( ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ~ sP20 ),
inference(nnf_transformation,[],[f30]) ).
fof(f299,plain,
( ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ~ sP19 ),
inference(nnf_transformation,[],[f29]) ).
fof(f300,plain,
( ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ~ sP18 ),
inference(nnf_transformation,[],[f28]) ).
fof(f301,plain,
( ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ~ sP17 ),
inference(nnf_transformation,[],[f27]) ).
fof(f302,plain,
( ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ~ sP16 ),
inference(nnf_transformation,[],[f26]) ).
fof(f303,plain,
( ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ~ sP15 ),
inference(nnf_transformation,[],[f25]) ).
fof(f304,plain,
( ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ~ sP14 ),
inference(nnf_transformation,[],[f24]) ).
fof(f305,plain,
( ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ~ sP13 ),
inference(nnf_transformation,[],[f23]) ).
fof(f306,plain,
( ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ~ sP12 ),
inference(nnf_transformation,[],[f22]) ).
fof(f307,plain,
( ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ~ sP11 ),
inference(nnf_transformation,[],[f21]) ).
fof(f308,plain,
( ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ~ sP10 ),
inference(nnf_transformation,[],[f20]) ).
fof(f309,plain,
( ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ~ sP9 ),
inference(nnf_transformation,[],[f19]) ).
fof(f310,plain,
( ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ~ sP8 ),
inference(nnf_transformation,[],[f18]) ).
fof(f311,plain,
( ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ~ sP7 ),
inference(nnf_transformation,[],[f17]) ).
fof(f312,plain,
( ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ~ sP6 ),
inference(nnf_transformation,[],[f16]) ).
fof(f313,plain,
( ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ~ sP5 ),
inference(nnf_transformation,[],[f15]) ).
fof(f314,plain,
( ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ~ sP4 ),
inference(nnf_transformation,[],[f14]) ).
fof(f315,plain,
( ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ~ sP3 ),
inference(nnf_transformation,[],[f13]) ).
fof(f316,plain,
( ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ~ sP2 ),
inference(nnf_transformation,[],[f12]) ).
fof(f317,plain,
( ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ~ sP1 ),
inference(nnf_transformation,[],[f11]) ).
fof(f318,plain,
( ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 )
| ~ sP0 ),
inference(nnf_transformation,[],[f10]) ).
fof(f322,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(f344,plain,
( e0 = unit
| e1 = unit
| e2 = unit
| e3 = unit
| e4 = unit ),
inference(cnf_transformation,[],[f2]) ).
fof(f345,plain,
e4 = op(e4,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f346,plain,
e4 = op(unit,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f347,plain,
e3 = op(e3,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f349,plain,
e2 = op(e2,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f351,plain,
e1 = op(e1,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f352,plain,
e1 = op(unit,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f353,plain,
e0 = op(e0,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f408,plain,
op(e4,e1) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f414,plain,
op(e4,e0) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f415,plain,
op(e3,e3) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f417,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f421,plain,
op(e3,e0) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f425,plain,
op(e2,e3) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f441,plain,
op(e1,e0) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f485,plain,
op(e3,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f488,plain,
op(e1,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f491,plain,
op(e0,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f494,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f501,plain,
op(e0,e0) != op(e4,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f505,plain,
e3 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f506,plain,
e2 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f509,plain,
e1 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f511,plain,
e0 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f512,plain,
e0 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f513,plain,
e0 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f515,plain,
e4 = op(op(e2,e2),op(e2,e2)),
inference(cnf_transformation,[],[f6]) ).
fof(f516,plain,
e3 = op(e2,e2),
inference(cnf_transformation,[],[f6]) ).
fof(f517,plain,
e1 = op(op(e2,e2),e2),
inference(cnf_transformation,[],[f6]) ).
fof(f518,plain,
e0 = op(op(op(e2,e2),e2),op(op(e2,e2),e2)),
inference(cnf_transformation,[],[f6]) ).
fof(f537,plain,
( sP142
| ~ sP153 ),
inference(cnf_transformation,[],[f165]) ).
fof(f551,plain,
( sP106
| ~ sP152 ),
inference(cnf_transformation,[],[f166]) ).
fof(f559,plain,
( sP114
| ~ sP152 ),
inference(cnf_transformation,[],[f166]) ).
fof(f568,plain,
( sP123
| ~ sP152 ),
inference(cnf_transformation,[],[f166]) ).
fof(f579,plain,
( sP84
| ~ sP151 ),
inference(cnf_transformation,[],[f167]) ).
fof(f583,plain,
( sP88
| ~ sP151 ),
inference(cnf_transformation,[],[f167]) ).
fof(f603,plain,
( sP58
| ~ sP150 ),
inference(cnf_transformation,[],[f168]) ).
fof(f606,plain,
( sP61
| ~ sP150 ),
inference(cnf_transformation,[],[f168]) ).
fof(f625,plain,
( sP30
| ~ sP149 ),
inference(cnf_transformation,[],[f169]) ).
fof(f656,plain,
( e0 != op(e1,e1)
| e0 != unit
| ~ sP142 ),
inference(cnf_transformation,[],[f176]) ).
fof(f657,plain,
( e0 != op(e1,e1)
| e1 = op(e1,e0)
| ~ sP142 ),
inference(cnf_transformation,[],[f176]) ).
fof(f695,plain,
( op(e0,e0) != e1
| e0 = op(e0,e1)
| ~ sP123 ),
inference(cnf_transformation,[],[f195]) ).
fof(f713,plain,
( e1 != op(e1,e4)
| e4 = op(e1,e1)
| ~ sP114 ),
inference(cnf_transformation,[],[f204]) ).
fof(f729,plain,
( e1 != op(e3,e2)
| e2 = op(e3,e1)
| ~ sP106 ),
inference(cnf_transformation,[],[f212]) ).
fof(f765,plain,
( e2 != op(e2,e0)
| e0 = op(e2,e2)
| ~ sP88 ),
inference(cnf_transformation,[],[f230]) ).
fof(f773,plain,
( e2 != op(e2,e4)
| e4 = op(e2,e2)
| ~ sP84 ),
inference(cnf_transformation,[],[f234]) ).
fof(f819,plain,
( e3 != op(e2,e2)
| e2 = op(e2,e3)
| ~ sP61 ),
inference(cnf_transformation,[],[f257]) ).
fof(f825,plain,
( e3 != op(e3,e0)
| e0 = op(e3,e3)
| ~ sP58 ),
inference(cnf_transformation,[],[f260]) ).
fof(f880,plain,
( e4 != op(e3,e3)
| e4 != unit
| ~ sP30 ),
inference(cnf_transformation,[],[f288]) ).
fof(f881,plain,
( e4 != op(e3,e3)
| e3 = op(e3,e4)
| ~ sP30 ),
inference(cnf_transformation,[],[f288]) ).
fof(f896,plain,
( op(e0,e0) = e1
| ~ sP23 ),
inference(cnf_transformation,[],[f295]) ).
fof(f898,plain,
( e0 = op(e2,e2)
| ~ sP22 ),
inference(cnf_transformation,[],[f296]) ).
fof(f901,plain,
( e0 = op(e3,e3)
| ~ sP21 ),
inference(cnf_transformation,[],[f297]) ).
fof(f905,plain,
( op(e0,e0) = e4
| ~ sP20 ),
inference(cnf_transformation,[],[f298]) ).
fof(f907,plain,
( op(e0,e0) = e1
| ~ sP19 ),
inference(cnf_transformation,[],[f299]) ).
fof(f909,plain,
( e1 != op(e1,e1)
| ~ sP18 ),
inference(cnf_transformation,[],[f300]) ).
fof(f910,plain,
( e1 = op(e1,e1)
| ~ sP18 ),
inference(cnf_transformation,[],[f300]) ).
fof(f913,plain,
( e1 = op(e2,e2)
| ~ sP17 ),
inference(cnf_transformation,[],[f301]) ).
fof(f916,plain,
( e1 = op(e3,e3)
| ~ sP16 ),
inference(cnf_transformation,[],[f302]) ).
fof(f920,plain,
( e4 = op(e1,e1)
| ~ sP15 ),
inference(cnf_transformation,[],[f303]) ).
fof(f923,plain,
( e0 = op(e2,e2)
| ~ sP14 ),
inference(cnf_transformation,[],[f304]) ).
fof(f925,plain,
( e2 = op(e1,e1)
| ~ sP13 ),
inference(cnf_transformation,[],[f305]) ).
fof(f927,plain,
( e2 != op(e2,e2)
| ~ sP12 ),
inference(cnf_transformation,[],[f306]) ).
fof(f928,plain,
( e2 = op(e2,e2)
| ~ sP12 ),
inference(cnf_transformation,[],[f306]) ).
fof(f931,plain,
( e2 = op(e3,e3)
| ~ sP11 ),
inference(cnf_transformation,[],[f307]) ).
fof(f935,plain,
( e4 = op(e2,e2)
| ~ sP10 ),
inference(cnf_transformation,[],[f308]) ).
fof(f938,plain,
( e0 = op(e3,e3)
| ~ sP9 ),
inference(cnf_transformation,[],[f309]) ).
fof(f940,plain,
( e3 = op(e1,e1)
| ~ sP8 ),
inference(cnf_transformation,[],[f310]) ).
fof(f944,plain,
( e2 = op(e3,e3)
| ~ sP7 ),
inference(cnf_transformation,[],[f311]) ).
fof(f945,plain,
( e3 != op(e3,e3)
| ~ sP6 ),
inference(cnf_transformation,[],[f312]) ).
fof(f946,plain,
( e3 = op(e3,e3)
| ~ sP6 ),
inference(cnf_transformation,[],[f312]) ).
fof(f949,plain,
( e3 = op(e4,e4)
| ~ sP5 ),
inference(cnf_transformation,[],[f313]) ).
fof(f951,plain,
( e4 != op(e4,e0)
| ~ sP4 ),
inference(cnf_transformation,[],[f314]) ).
fof(f955,plain,
( e4 = op(e1,e1)
| ~ sP3 ),
inference(cnf_transformation,[],[f315]) ).
fof(f958,plain,
( e4 = op(e2,e2)
| ~ sP2 ),
inference(cnf_transformation,[],[f316]) ).
fof(f962,plain,
( e3 = op(e4,e4)
| ~ sP1 ),
inference(cnf_transformation,[],[f317]) ).
fof(f963,plain,
( e4 != op(e4,e4)
| ~ sP0 ),
inference(cnf_transformation,[],[f318]) ).
fof(f964,plain,
( e4 = op(e4,e4)
| ~ sP0 ),
inference(cnf_transformation,[],[f318]) ).
fof(f966,plain,
( e0 != op(e0,e0)
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f164]) ).
fof(f969,plain,
( sP153
| sP152
| sP151
| sP150
| sP149 ),
inference(cnf_transformation,[],[f164]) ).
fof(f972,plain,
~ sP0,
inference(global_subsumption,[],[f964,f963]) ).
fof(f974,plain,
~ sP6,
inference(global_subsumption,[],[f946,f945]) ).
fof(f976,plain,
~ sP12,
inference(global_subsumption,[],[f928,f927]) ).
fof(f978,plain,
~ sP18,
inference(global_subsumption,[],[f910,f909]) ).
fof(f980,plain,
e3 = op(e2,e2),
inference(global_subsumption,[],[f516]) ).
fof(f986,definition,
( spl154_1
<=> sP149 ),
introduced(definition,[new_symbols(definition,[spl154_1])],[avatar_definition]) ).
fof(f990,definition,
( spl154_2
<=> sP150 ),
introduced(definition,[new_symbols(definition,[spl154_2])],[avatar_definition]) ).
fof(f994,definition,
( spl154_3
<=> sP151 ),
introduced(definition,[new_symbols(definition,[spl154_3])],[avatar_definition]) ).
fof(f998,definition,
( spl154_4
<=> sP152 ),
introduced(definition,[new_symbols(definition,[spl154_4])],[avatar_definition]) ).
fof(f1002,definition,
( spl154_5
<=> sP153 ),
introduced(definition,[new_symbols(definition,[spl154_5])],[avatar_definition]) ).
fof(f1005,plain,
( spl154_1
| spl154_2
| spl154_3
| spl154_4
| spl154_5 ),
inference(avatar_split_clause,[],[f969,f1002,f998,f994,f990,f986]) ).
fof(f1007,definition,
( spl154_6
<=> sP23 ),
introduced(definition,[new_symbols(definition,[spl154_6])],[avatar_definition]) ).
fof(f1008,plain,
( sP23
| ~ spl154_6 ),
inference(avatar_component_clause,[],[f1007]) ).
fof(f1009,plain,
( ~ sP23
| spl154_6 ),
inference(avatar_component_clause,[],[f1007]) ).
fof(f1011,definition,
( spl154_7
<=> e0 = op(e0,e1) ),
introduced(definition,[new_symbols(definition,[spl154_7])],[avatar_definition]) ).
fof(f1013,plain,
( e0 != op(e0,e1)
| spl154_7 ),
inference(avatar_component_clause,[],[f1011]) ).
fof(f1016,definition,
( spl154_8
<=> sP22 ),
introduced(definition,[new_symbols(definition,[spl154_8])],[avatar_definition]) ).
fof(f1018,plain,
( ~ sP22
| spl154_8 ),
inference(avatar_component_clause,[],[f1016]) ).
fof(f1025,definition,
( spl154_10
<=> sP21 ),
introduced(definition,[new_symbols(definition,[spl154_10])],[avatar_definition]) ).
fof(f1027,plain,
( ~ sP21
| spl154_10 ),
inference(avatar_component_clause,[],[f1025]) ).
fof(f1034,definition,
( spl154_12
<=> sP20 ),
introduced(definition,[new_symbols(definition,[spl154_12])],[avatar_definition]) ).
fof(f1036,plain,
( ~ sP20
| spl154_12 ),
inference(avatar_component_clause,[],[f1034]) ).
fof(f1043,definition,
( spl154_14
<=> sP19 ),
introduced(definition,[new_symbols(definition,[spl154_14])],[avatar_definition]) ).
fof(f1045,plain,
( ~ sP19
| spl154_14 ),
inference(avatar_component_clause,[],[f1043]) ).
fof(f1047,definition,
( spl154_15
<=> e1 = op(e1,e0) ),
introduced(definition,[new_symbols(definition,[spl154_15])],[avatar_definition]) ).
fof(f1049,plain,
( e1 != op(e1,e0)
| spl154_15 ),
inference(avatar_component_clause,[],[f1047]) ).
fof(f1052,definition,
( spl154_16
<=> sP17 ),
introduced(definition,[new_symbols(definition,[spl154_16])],[avatar_definition]) ).
fof(f1054,plain,
( ~ sP17
| spl154_16 ),
inference(avatar_component_clause,[],[f1052]) ).
fof(f1061,definition,
( spl154_18
<=> sP16 ),
introduced(definition,[new_symbols(definition,[spl154_18])],[avatar_definition]) ).
fof(f1062,plain,
( sP16
| ~ spl154_18 ),
inference(avatar_component_clause,[],[f1061]) ).
fof(f1063,plain,
( ~ sP16
| spl154_18 ),
inference(avatar_component_clause,[],[f1061]) ).
fof(f1070,definition,
( spl154_20
<=> sP15 ),
introduced(definition,[new_symbols(definition,[spl154_20])],[avatar_definition]) ).
fof(f1072,plain,
( ~ sP15
| spl154_20 ),
inference(avatar_component_clause,[],[f1070]) ).
fof(f1074,definition,
( spl154_21
<=> e1 = op(e1,e4) ),
introduced(definition,[new_symbols(definition,[spl154_21])],[avatar_definition]) ).
fof(f1075,plain,
( e1 = op(e1,e4)
| ~ spl154_21 ),
inference(avatar_component_clause,[],[f1074]) ).
fof(f1076,plain,
( e1 != op(e1,e4)
| spl154_21 ),
inference(avatar_component_clause,[],[f1074]) ).
fof(f1079,definition,
( spl154_22
<=> sP14 ),
introduced(definition,[new_symbols(definition,[spl154_22])],[avatar_definition]) ).
fof(f1081,plain,
( ~ sP14
| spl154_22 ),
inference(avatar_component_clause,[],[f1079]) ).
fof(f1083,definition,
( spl154_23
<=> e2 = op(e2,e0) ),
introduced(definition,[new_symbols(definition,[spl154_23])],[avatar_definition]) ).
fof(f1085,plain,
( e2 != op(e2,e0)
| spl154_23 ),
inference(avatar_component_clause,[],[f1083]) ).
fof(f1088,definition,
( spl154_24
<=> sP13 ),
introduced(definition,[new_symbols(definition,[spl154_24])],[avatar_definition]) ).
fof(f1090,plain,
( ~ sP13
| spl154_24 ),
inference(avatar_component_clause,[],[f1088]) ).
fof(f1097,definition,
( spl154_26
<=> sP11 ),
introduced(definition,[new_symbols(definition,[spl154_26])],[avatar_definition]) ).
fof(f1099,plain,
( ~ sP11
| spl154_26 ),
inference(avatar_component_clause,[],[f1097]) ).
fof(f1101,definition,
( spl154_27
<=> e2 = op(e2,e3) ),
introduced(definition,[new_symbols(definition,[spl154_27])],[avatar_definition]) ).
fof(f1102,plain,
( e2 = op(e2,e3)
| ~ spl154_27 ),
inference(avatar_component_clause,[],[f1101]) ).
fof(f1106,definition,
( spl154_28
<=> sP10 ),
introduced(definition,[new_symbols(definition,[spl154_28])],[avatar_definition]) ).
fof(f1108,plain,
( ~ sP10
| spl154_28 ),
inference(avatar_component_clause,[],[f1106]) ).
fof(f1110,definition,
( spl154_29
<=> e2 = op(e2,e4) ),
introduced(definition,[new_symbols(definition,[spl154_29])],[avatar_definition]) ).
fof(f1111,plain,
( e2 = op(e2,e4)
| ~ spl154_29 ),
inference(avatar_component_clause,[],[f1110]) ).
fof(f1112,plain,
( e2 != op(e2,e4)
| spl154_29 ),
inference(avatar_component_clause,[],[f1110]) ).
fof(f1115,definition,
( spl154_30
<=> sP9 ),
introduced(definition,[new_symbols(definition,[spl154_30])],[avatar_definition]) ).
fof(f1117,plain,
( ~ sP9
| spl154_30 ),
inference(avatar_component_clause,[],[f1115]) ).
fof(f1119,definition,
( spl154_31
<=> e3 = op(e3,e0) ),
introduced(definition,[new_symbols(definition,[spl154_31])],[avatar_definition]) ).
fof(f1121,plain,
( e3 != op(e3,e0)
| spl154_31 ),
inference(avatar_component_clause,[],[f1119]) ).
fof(f1124,definition,
( spl154_32
<=> sP8 ),
introduced(definition,[new_symbols(definition,[spl154_32])],[avatar_definition]) ).
fof(f1126,plain,
( ~ sP8
| spl154_32 ),
inference(avatar_component_clause,[],[f1124]) ).
fof(f1133,definition,
( spl154_34
<=> sP7 ),
introduced(definition,[new_symbols(definition,[spl154_34])],[avatar_definition]) ).
fof(f1135,plain,
( ~ sP7
| spl154_34 ),
inference(avatar_component_clause,[],[f1133]) ).
fof(f1142,definition,
( spl154_36
<=> sP5 ),
introduced(definition,[new_symbols(definition,[spl154_36])],[avatar_definition]) ).
fof(f1144,plain,
( ~ sP5
| spl154_36 ),
inference(avatar_component_clause,[],[f1142]) ).
fof(f1146,definition,
( spl154_37
<=> e3 = op(e3,e4) ),
introduced(definition,[new_symbols(definition,[spl154_37])],[avatar_definition]) ).
fof(f1147,plain,
( e3 = op(e3,e4)
| ~ spl154_37 ),
inference(avatar_component_clause,[],[f1146]) ).
fof(f1151,definition,
( spl154_38
<=> sP4 ),
introduced(definition,[new_symbols(definition,[spl154_38])],[avatar_definition]) ).
fof(f1153,plain,
( ~ sP4
| spl154_38 ),
inference(avatar_component_clause,[],[f1151]) ).
fof(f1155,definition,
( spl154_39
<=> e4 = op(e4,e0) ),
introduced(definition,[new_symbols(definition,[spl154_39])],[avatar_definition]) ).
fof(f1156,plain,
( e4 = op(e4,e0)
| ~ spl154_39 ),
inference(avatar_component_clause,[],[f1155]) ).
fof(f1157,plain,
( e4 != op(e4,e0)
| spl154_39 ),
inference(avatar_component_clause,[],[f1155]) ).
fof(f1158,plain,
( ~ spl154_38
| ~ spl154_39 ),
inference(avatar_split_clause,[],[f951,f1155,f1151]) ).
fof(f1160,definition,
( spl154_40
<=> sP3 ),
introduced(definition,[new_symbols(definition,[spl154_40])],[avatar_definition]) ).
fof(f1162,plain,
( ~ sP3
| spl154_40 ),
inference(avatar_component_clause,[],[f1160]) ).
fof(f1164,definition,
( spl154_41
<=> e4 = op(e4,e1) ),
introduced(definition,[new_symbols(definition,[spl154_41])],[avatar_definition]) ).
fof(f1165,plain,
( e4 = op(e4,e1)
| ~ spl154_41 ),
inference(avatar_component_clause,[],[f1164]) ).
fof(f1166,plain,
( e4 != op(e4,e1)
| spl154_41 ),
inference(avatar_component_clause,[],[f1164]) ).
fof(f1169,definition,
( spl154_42
<=> sP2 ),
introduced(definition,[new_symbols(definition,[spl154_42])],[avatar_definition]) ).
fof(f1171,plain,
( ~ sP2
| spl154_42 ),
inference(avatar_component_clause,[],[f1169]) ).
fof(f1178,definition,
( spl154_44
<=> sP1 ),
introduced(definition,[new_symbols(definition,[spl154_44])],[avatar_definition]) ).
fof(f1179,plain,
( sP1
| ~ spl154_44 ),
inference(avatar_component_clause,[],[f1178]) ).
fof(f1191,definition,
( spl154_47
<=> e0 = unit ),
introduced(definition,[new_symbols(definition,[spl154_47])],[avatar_definition]) ).
fof(f1192,plain,
( e0 = unit
| ~ spl154_47 ),
inference(avatar_component_clause,[],[f1191]) ).
fof(f1193,plain,
( e0 != unit
| spl154_47 ),
inference(avatar_component_clause,[],[f1191]) ).
fof(f1195,definition,
( spl154_48
<=> e0 = op(e0,e0) ),
introduced(definition,[new_symbols(definition,[spl154_48])],[avatar_definition]) ).
fof(f1196,plain,
( e0 = op(e0,e0)
| ~ spl154_48 ),
inference(avatar_component_clause,[],[f1195]) ).
fof(f1197,plain,
( e0 != op(e0,e0)
| spl154_48 ),
inference(avatar_component_clause,[],[f1195]) ).
fof(f1229,definition,
( spl154_55
<=> sP123 ),
introduced(definition,[new_symbols(definition,[spl154_55])],[avatar_definition]) ).
fof(f1231,plain,
( ~ sP123
| spl154_55 ),
inference(avatar_component_clause,[],[f1229]) ).
fof(f1233,definition,
( spl154_56
<=> e1 = unit ),
introduced(definition,[new_symbols(definition,[spl154_56])],[avatar_definition]) ).
fof(f1234,plain,
( e1 = unit
| ~ spl154_56 ),
inference(avatar_component_clause,[],[f1233]) ).
fof(f1235,plain,
( e1 != unit
| spl154_56 ),
inference(avatar_component_clause,[],[f1233]) ).
fof(f1237,definition,
( spl154_57
<=> op(e0,e0) = e1 ),
introduced(definition,[new_symbols(definition,[spl154_57])],[avatar_definition]) ).
fof(f1239,plain,
( op(e0,e0) != e1
| spl154_57 ),
inference(avatar_component_clause,[],[f1237]) ).
fof(f1246,definition,
( spl154_59
<=> e1 = op(e0,e1) ),
introduced(definition,[new_symbols(definition,[spl154_59])],[avatar_definition]) ).
fof(f1247,plain,
( e1 = op(e0,e1)
| ~ spl154_59 ),
inference(avatar_component_clause,[],[f1246]) ).
fof(f1248,plain,
( e1 != op(e0,e1)
| spl154_59 ),
inference(avatar_component_clause,[],[f1246]) ).
fof(f1287,definition,
( spl154_61
<=> e2 = unit ),
introduced(definition,[new_symbols(definition,[spl154_61])],[avatar_definition]) ).
fof(f1288,plain,
( e2 = unit
| ~ spl154_61 ),
inference(avatar_component_clause,[],[f1287]) ).
fof(f1289,plain,
( e2 != unit
| spl154_61 ),
inference(avatar_component_clause,[],[f1287]) ).
fof(f1309,definition,
( spl154_66
<=> e3 = unit ),
introduced(definition,[new_symbols(definition,[spl154_66])],[avatar_definition]) ).
fof(f1310,plain,
( e3 = unit
| ~ spl154_66 ),
inference(avatar_component_clause,[],[f1309]) ).
fof(f1311,plain,
( e3 != unit
| spl154_66 ),
inference(avatar_component_clause,[],[f1309]) ).
fof(f1351,definition,
( spl154_71
<=> e4 = unit ),
introduced(definition,[new_symbols(definition,[spl154_71])],[avatar_definition]) ).
fof(f1352,plain,
( e4 = unit
| ~ spl154_71 ),
inference(avatar_component_clause,[],[f1351]) ).
fof(f1353,plain,
( e4 != unit
| spl154_71 ),
inference(avatar_component_clause,[],[f1351]) ).
fof(f1355,definition,
( spl154_72
<=> op(e0,e0) = e4 ),
introduced(definition,[new_symbols(definition,[spl154_72])],[avatar_definition]) ).
fof(f1357,plain,
( op(e0,e0) != e4
| spl154_72 ),
inference(avatar_component_clause,[],[f1355]) ).
fof(f1483,definition,
( spl154_93
<=> sP142 ),
introduced(definition,[new_symbols(definition,[spl154_93])],[avatar_definition]) ).
fof(f1486,plain,
( ~ spl154_5
| spl154_93 ),
inference(avatar_split_clause,[],[f537,f1483,f1002]) ).
fof(f1530,definition,
( spl154_101
<=> sP106 ),
introduced(definition,[new_symbols(definition,[spl154_101])],[avatar_definition]) ).
fof(f1532,plain,
( sP106
| ~ spl154_101 ),
inference(avatar_component_clause,[],[f1530]) ).
fof(f1533,plain,
( ~ spl154_4
| spl154_101 ),
inference(avatar_split_clause,[],[f551,f1530,f998]) ).
fof(f1570,definition,
( spl154_109
<=> sP114 ),
introduced(definition,[new_symbols(definition,[spl154_109])],[avatar_definition]) ).
fof(f1572,plain,
( sP114
| ~ spl154_109 ),
inference(avatar_component_clause,[],[f1570]) ).
fof(f1573,plain,
( ~ spl154_4
| spl154_109 ),
inference(avatar_split_clause,[],[f559,f1570,f998]) ).
fof(f1661,definition,
( spl154_127
<=> sP84 ),
introduced(definition,[new_symbols(definition,[spl154_127])],[avatar_definition]) ).
fof(f1664,plain,
( ~ spl154_3
| spl154_127 ),
inference(avatar_split_clause,[],[f579,f1661,f994]) ).
fof(f1681,definition,
( spl154_131
<=> sP88 ),
introduced(definition,[new_symbols(definition,[spl154_131])],[avatar_definition]) ).
fof(f1683,plain,
( sP88
| ~ spl154_131 ),
inference(avatar_component_clause,[],[f1681]) ).
fof(f1684,plain,
( ~ spl154_3
| spl154_131 ),
inference(avatar_split_clause,[],[f583,f1681,f994]) ).
fof(f1774,definition,
( spl154_149
<=> sP58 ),
introduced(definition,[new_symbols(definition,[spl154_149])],[avatar_definition]) ).
fof(f1777,plain,
( ~ spl154_2
| spl154_149 ),
inference(avatar_split_clause,[],[f603,f1774,f990]) ).
fof(f1789,definition,
( spl154_152
<=> sP61 ),
introduced(definition,[new_symbols(definition,[spl154_152])],[avatar_definition]) ).
fof(f1792,plain,
( ~ spl154_2
| spl154_152 ),
inference(avatar_split_clause,[],[f606,f1789,f990]) ).
fof(f1880,plain,
( e0 = e3
| ~ sP14 ),
inference(forward_demodulation,[],[f923,f980]) ).
fof(f1885,plain,
~ sP14,
inference(forward_subsumption_resolution,[],[f1880,f512]) ).
fof(f1945,plain,
~ spl154_22,
inference(avatar_split_clause,[],[f1885,f1079]) ).
fof(f1947,plain,
( e0 = e3
| ~ sP22 ),
inference(forward_demodulation,[],[f898,f980]) ).
fof(f1951,plain,
~ sP22,
inference(forward_subsumption_resolution,[],[f1947,f512]) ).
fof(f2010,plain,
~ spl154_8,
inference(avatar_split_clause,[],[f1951,f1016]) ).
fof(f2190,plain,
( e1 = e3
| ~ sP17 ),
inference(forward_demodulation,[],[f913,f980]) ).
fof(f2194,plain,
~ sP17,
inference(forward_subsumption_resolution,[],[f2190,f509]) ).
fof(f2243,plain,
~ spl154_16,
inference(avatar_split_clause,[],[f2194,f1052]) ).
fof(f2293,plain,
( e1 = op(e3,e3)
| ~ spl154_18 ),
inference(forward_subsumption_resolution,[],[f916,f1062]) ).
fof(f2294,plain,
( e1 != op(e3,e2)
| ~ spl154_18 ),
inference(superposition,[],[f417,f2293]) ).
fof(f2306,plain,
e1 = op(e3,e2),
inference(forward_demodulation,[],[f517,f980]) ).
fof(f2307,plain,
( $false
| ~ spl154_18 ),
inference(forward_subsumption_resolution,[],[f2306,f2294]) ).
fof(f2308,plain,
~ spl154_18,
inference(avatar_contradiction_clause,[],[f2307]) ).
fof(f2373,plain,
e4 = op(e3,e3),
inference(forward_demodulation,[],[f515,f980]) ).
fof(f2518,plain,
( e2 = op(e3,e1)
| ~ sP106 ),
inference(forward_subsumption_resolution,[],[f729,f2306]) ).
fof(f2519,plain,
( e2 = op(e3,e1)
| ~ spl154_101 ),
inference(forward_subsumption_resolution,[],[f2518,f1532]) ).
fof(f2549,plain,
( e0 = e4
| ~ sP21 ),
inference(forward_demodulation,[],[f901,f2373]) ).
fof(f2560,plain,
~ sP21,
inference(forward_subsumption_resolution,[],[f2549,f511]) ).
fof(f2668,plain,
~ spl154_10,
inference(avatar_split_clause,[],[f2560,f1025]) ).
fof(f2675,plain,
( e0 != op(e0,e0)
| sP23
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0
| spl154_8 ),
inference(forward_subsumption_resolution,[],[f966,f1018]) ).
fof(f2679,plain,
( e0 != op(e0,e0)
| sP23
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0
| spl154_8
| spl154_10 ),
inference(forward_subsumption_resolution,[],[f2675,f1027]) ).
fof(f2820,plain,
( ~ sP23
| spl154_57 ),
inference(forward_subsumption_resolution,[],[f896,f1239]) ).
fof(f2821,plain,
( $false
| ~ spl154_6
| spl154_57 ),
inference(forward_subsumption_resolution,[],[f2820,f1008]) ).
fof(f2822,plain,
( ~ spl154_6
| spl154_57 ),
inference(avatar_contradiction_clause,[],[f2821]) ).
fof(f2900,definition,
( spl154_183
<=> e2 = op(e4,e1) ),
introduced(definition,[new_symbols(definition,[spl154_183])],[avatar_definition]) ).
fof(f2901,plain,
( e2 != op(e4,e1)
| spl154_183 ),
inference(avatar_component_clause,[],[f2900]) ).
fof(f2902,plain,
( e2 = op(e4,e1)
| ~ spl154_183 ),
inference(avatar_component_clause,[],[f2900]) ).
fof(f2910,plain,
( e2 != op(e3,e1)
| ~ spl154_183 ),
inference(superposition,[],[f485,f2902]) ).
fof(f2915,plain,
( $false
| ~ spl154_101
| ~ spl154_183 ),
inference(forward_subsumption_resolution,[],[f2910,f2519]) ).
fof(f2916,plain,
( ~ spl154_101
| ~ spl154_183 ),
inference(avatar_contradiction_clause,[],[f2915]) ).
fof(f2920,definition,
( spl154_185
<=> e3 = op(e4,e1) ),
introduced(definition,[new_symbols(definition,[spl154_185])],[avatar_definition]) ).
fof(f2921,plain,
( e3 != op(e4,e1)
| spl154_185 ),
inference(avatar_component_clause,[],[f2920]) ).
fof(f3045,plain,
( e2 = op(e2,e3)
| ~ sP61 ),
inference(forward_subsumption_resolution,[],[f819,f980]) ).
fof(f3063,definition,
( spl154_197
<=> e3 = op(e4,e4) ),
introduced(definition,[new_symbols(definition,[spl154_197])],[avatar_definition]) ).
fof(f3064,plain,
( e3 = op(e4,e4)
| ~ spl154_197 ),
inference(avatar_component_clause,[],[f3063]) ).
fof(f3065,plain,
( e3 != op(e4,e4)
| spl154_197 ),
inference(avatar_component_clause,[],[f3063]) ).
fof(f3085,plain,
( e3 = op(e3,e4)
| ~ sP30 ),
inference(forward_subsumption_resolution,[],[f881,f2373]) ).
fof(f3087,definition,
( spl154_200
<=> sP30 ),
introduced(definition,[new_symbols(definition,[spl154_200])],[avatar_definition]) ).
fof(f3089,plain,
( ~ sP30
| spl154_200 ),
inference(avatar_component_clause,[],[f3087]) ).
fof(f3090,plain,
( ~ spl154_200
| spl154_37 ),
inference(avatar_split_clause,[],[f3085,f1146,f3087]) ).
fof(f3111,plain,
e0 = op(op(e3,e2),op(e3,e2)),
inference(forward_demodulation,[],[f518,f980]) ).
fof(f3112,plain,
e0 = op(e1,e1),
inference(forward_demodulation,[],[f3111,f2306]) ).
fof(f3113,plain,
( e1 = unit
| e2 = unit
| e3 = unit
| e4 = unit
| spl154_47 ),
inference(forward_subsumption_resolution,[],[f344,f1193]) ).
fof(f3114,plain,
( e2 = unit
| e3 = unit
| e4 = unit
| spl154_47
| spl154_56 ),
inference(forward_subsumption_resolution,[],[f3113,f1235]) ).
fof(f3115,plain,
( e3 = unit
| e4 = unit
| spl154_47
| spl154_56
| spl154_61 ),
inference(forward_subsumption_resolution,[],[f3114,f1289]) ).
fof(f3116,plain,
( e4 = unit
| spl154_47
| spl154_56
| spl154_61
| spl154_66 ),
inference(forward_subsumption_resolution,[],[f3115,f1311]) ).
fof(f3117,plain,
( $false
| spl154_47
| spl154_56
| spl154_61
| spl154_66
| spl154_71 ),
inference(forward_subsumption_resolution,[],[f3116,f1353]) ).
fof(f3118,plain,
( spl154_47
| spl154_56
| spl154_61
| spl154_66
| spl154_71 ),
inference(avatar_contradiction_clause,[],[f3117]) ).
fof(f3155,definition,
( spl154_211
<=> e4 = op(e3,e4) ),
introduced(definition,[new_symbols(definition,[spl154_211])],[avatar_definition]) ).
fof(f3156,plain,
( e4 = op(e3,e4)
| ~ spl154_211 ),
inference(avatar_component_clause,[],[f3155]) ).
fof(f3157,plain,
( e4 != op(e3,e4)
| spl154_211 ),
inference(avatar_component_clause,[],[f3155]) ).
fof(f3172,plain,
( e2 = op(e2,e4)
| ~ spl154_71 ),
inference(superposition,[],[f349,f1352]) ).
fof(f3174,plain,
( e1 = op(e1,e4)
| ~ spl154_71 ),
inference(superposition,[],[f351,f1352]) ).
fof(f3184,plain,
( $false
| spl154_21
| ~ spl154_71 ),
inference(forward_subsumption_resolution,[],[f3174,f1076]) ).
fof(f3185,plain,
( spl154_21
| ~ spl154_71 ),
inference(avatar_contradiction_clause,[],[f3184]) ).
fof(f3186,plain,
( $false
| spl154_29
| ~ spl154_71 ),
inference(forward_subsumption_resolution,[],[f3172,f1112]) ).
fof(f3187,plain,
( spl154_29
| ~ spl154_71 ),
inference(avatar_contradiction_clause,[],[f3186]) ).
fof(f3224,plain,
( ~ sP149
| spl154_200 ),
inference(forward_subsumption_resolution,[],[f625,f3089]) ).
fof(f3231,plain,
( ~ spl154_1
| spl154_200 ),
inference(avatar_split_clause,[],[f3224,f3087,f986]) ).
fof(f3232,plain,
( ~ sP152
| spl154_55 ),
inference(forward_subsumption_resolution,[],[f568,f1231]) ).
fof(f3234,plain,
( ~ spl154_4
| spl154_55 ),
inference(avatar_split_clause,[],[f3232,f1229,f998]) ).
fof(f3265,plain,
( e4 = op(e4,e0)
| ~ spl154_47 ),
inference(superposition,[],[f345,f1192]) ).
fof(f3267,plain,
( e3 = op(e3,e0)
| ~ spl154_47 ),
inference(superposition,[],[f347,f1192]) ).
fof(f3269,plain,
( e2 = op(e2,e0)
| ~ spl154_47 ),
inference(superposition,[],[f349,f1192]) ).
fof(f3281,plain,
( $false
| spl154_23
| ~ spl154_47 ),
inference(forward_subsumption_resolution,[],[f3269,f1085]) ).
fof(f3282,plain,
( spl154_23
| ~ spl154_47 ),
inference(avatar_contradiction_clause,[],[f3281]) ).
fof(f3283,plain,
( $false
| spl154_31
| ~ spl154_47 ),
inference(forward_subsumption_resolution,[],[f3267,f1121]) ).
fof(f3284,plain,
( spl154_31
| ~ spl154_47 ),
inference(avatar_contradiction_clause,[],[f3283]) ).
fof(f3285,plain,
( $false
| spl154_39
| ~ spl154_47 ),
inference(forward_subsumption_resolution,[],[f3265,f1157]) ).
fof(f3286,plain,
( spl154_39
| ~ spl154_47 ),
inference(avatar_contradiction_clause,[],[f3285]) ).
fof(f3351,plain,
( e3 = e4
| e2 != op(e2,e4)
| ~ sP84 ),
inference(forward_demodulation,[],[f773,f980]) ).
fof(f3358,plain,
( e2 != op(e2,e4)
| ~ sP84 ),
inference(forward_subsumption_resolution,[],[f3351,f505]) ).
fof(f3364,plain,
( ~ spl154_127
| ~ spl154_29 ),
inference(avatar_split_clause,[],[f3358,f1110,f1661]) ).
fof(f3372,plain,
( ~ spl154_152
| spl154_27 ),
inference(avatar_split_clause,[],[f3045,f1101,f1789]) ).
fof(f3404,plain,
( e1 != op(e1,e0)
| ~ spl154_21 ),
inference(superposition,[],[f441,f1075]) ).
fof(f3419,plain,
( e2 != op(e2,e3)
| ~ spl154_29 ),
inference(superposition,[],[f425,f1111]) ).
fof(f3427,plain,
( $false
| ~ spl154_27
| ~ spl154_29 ),
inference(forward_subsumption_resolution,[],[f3419,f1102]) ).
fof(f3428,plain,
( ~ spl154_27
| ~ spl154_29 ),
inference(avatar_contradiction_clause,[],[f3427]) ).
fof(f3429,plain,
( e4 != unit
| ~ sP30 ),
inference(forward_subsumption_resolution,[],[f880,f2373]) ).
fof(f3456,plain,
e0 != op(e0,e1),
inference(superposition,[],[f494,f3112]) ).
fof(f3460,plain,
~ spl154_7,
inference(avatar_split_clause,[],[f3456,f1011]) ).
fof(f3462,plain,
( op(e0,e0) != e1
| ~ sP123 ),
inference(global_subsumption,[],[f695,f3456]) ).
fof(f3467,plain,
( e3 = op(e3,e2)
| ~ spl154_61 ),
inference(superposition,[],[f347,f1288]) ).
fof(f3485,plain,
( e1 = e3
| ~ spl154_61 ),
inference(forward_demodulation,[],[f3467,f2306]) ).
fof(f3489,plain,
( $false
| ~ spl154_61 ),
inference(forward_subsumption_resolution,[],[f3485,f509]) ).
fof(f3490,plain,
~ spl154_61,
inference(avatar_contradiction_clause,[],[f3489]) ).
fof(f3494,plain,
( e0 = e4
| e3 != op(e3,e0)
| ~ sP58 ),
inference(forward_demodulation,[],[f825,f2373]) ).
fof(f3496,plain,
( e2 = e4
| ~ sP7 ),
inference(forward_demodulation,[],[f944,f2373]) ).
fof(f3501,plain,
( e2 != op(e2,e0)
| e0 = op(e2,e2)
| ~ spl154_131 ),
inference(forward_subsumption_resolution,[],[f765,f1683]) ).
fof(f3503,plain,
( ~ sP19
| spl154_57 ),
inference(forward_subsumption_resolution,[],[f907,f1239]) ).
fof(f3504,plain,
( e3 != op(e3,e0)
| ~ sP58 ),
inference(forward_subsumption_resolution,[],[f3494,f511]) ).
fof(f3506,plain,
~ sP7,
inference(forward_subsumption_resolution,[],[f3496,f506]) ).
fof(f3522,plain,
~ spl154_34,
inference(avatar_split_clause,[],[f3506,f1133]) ).
fof(f3524,plain,
( e0 = e4
| ~ sP3 ),
inference(forward_demodulation,[],[f955,f3112]) ).
fof(f3528,plain,
~ sP3,
inference(forward_subsumption_resolution,[],[f3524,f511]) ).
fof(f3533,plain,
~ spl154_40,
inference(avatar_split_clause,[],[f3528,f1160]) ).
fof(f3534,plain,
( ~ sP5
| spl154_197 ),
inference(forward_subsumption_resolution,[],[f949,f3065]) ).
fof(f3546,plain,
( ~ spl154_36
| spl154_197 ),
inference(avatar_split_clause,[],[f3534,f3063,f1142]) ).
fof(f3547,plain,
( ~ spl154_15
| ~ spl154_21 ),
inference(avatar_split_clause,[],[f3404,f1074,f1047]) ).
fof(f3581,plain,
( e0 = op(e0,e1)
| ~ spl154_56 ),
inference(superposition,[],[f353,f1234]) ).
fof(f3589,plain,
( $false
| spl154_7
| ~ spl154_56 ),
inference(forward_subsumption_resolution,[],[f3581,f1013]) ).
fof(f3590,plain,
( spl154_7
| ~ spl154_56 ),
inference(avatar_contradiction_clause,[],[f3589]) ).
fof(f3609,plain,
( e1 = op(e1,e0)
| ~ sP142 ),
inference(forward_subsumption_resolution,[],[f657,f3112]) ).
fof(f3615,plain,
( ~ sP142
| spl154_15 ),
inference(forward_subsumption_resolution,[],[f3609,f1049]) ).
fof(f3623,plain,
( e3 = e4
| ~ sP2 ),
inference(forward_demodulation,[],[f958,f980]) ).
fof(f3627,plain,
~ sP2,
inference(forward_subsumption_resolution,[],[f3623,f505]) ).
fof(f3632,plain,
( ~ spl154_93
| spl154_15 ),
inference(avatar_split_clause,[],[f3615,f1047,f1483]) ).
fof(f3647,plain,
~ spl154_42,
inference(avatar_split_clause,[],[f3627,f1169]) ).
fof(f3648,plain,
( e0 = e3
| ~ sP8 ),
inference(forward_demodulation,[],[f940,f3112]) ).
fof(f3652,plain,
~ sP8,
inference(forward_subsumption_resolution,[],[f3648,f512]) ).
fof(f3682,plain,
~ spl154_32,
inference(avatar_split_clause,[],[f3652,f1124]) ).
fof(f3683,plain,
( ~ spl154_200
| ~ spl154_71 ),
inference(avatar_split_clause,[],[f3429,f1351,f3087]) ).
fof(f3690,plain,
( e0 = e3
| e2 != op(e2,e0)
| ~ spl154_131 ),
inference(forward_demodulation,[],[f3501,f980]) ).
fof(f3691,plain,
( e2 != op(e2,e0)
| ~ spl154_131 ),
inference(forward_subsumption_resolution,[],[f3690,f512]) ).
fof(f3692,plain,
( ~ spl154_23
| ~ spl154_131 ),
inference(avatar_split_clause,[],[f3691,f1681,f1083]) ).
fof(f3698,plain,
( ~ spl154_14
| spl154_57 ),
inference(avatar_split_clause,[],[f3503,f1237,f1043]) ).
fof(f3700,plain,
( e0 = e4
| ~ sP9 ),
inference(forward_demodulation,[],[f938,f2373]) ).
fof(f3703,plain,
~ sP9,
inference(forward_subsumption_resolution,[],[f3700,f511]) ).
fof(f3720,plain,
~ spl154_30,
inference(avatar_split_clause,[],[f3703,f1115]) ).
fof(f3721,plain,
( e2 = e4
| ~ sP11 ),
inference(forward_demodulation,[],[f931,f2373]) ).
fof(f3724,plain,
~ sP11,
inference(forward_subsumption_resolution,[],[f3721,f506]) ).
fof(f3743,plain,
~ spl154_26,
inference(avatar_split_clause,[],[f3724,f1097]) ).
fof(f3744,plain,
( e0 = e2
| ~ sP13 ),
inference(forward_demodulation,[],[f925,f3112]) ).
fof(f3748,plain,
~ sP13,
inference(forward_subsumption_resolution,[],[f3744,f513]) ).
fof(f3768,plain,
~ spl154_24,
inference(avatar_split_clause,[],[f3748,f1088]) ).
fof(f3769,plain,
( ~ spl154_55
| ~ spl154_57 ),
inference(avatar_split_clause,[],[f3462,f1237,f1229]) ).
fof(f3798,plain,
( e4 = op(e3,e4)
| ~ spl154_66 ),
inference(superposition,[],[f346,f1310]) ).
fof(f3815,plain,
( $false
| ~ spl154_66
| spl154_211 ),
inference(forward_subsumption_resolution,[],[f3798,f3157]) ).
fof(f3816,plain,
( ~ spl154_66
| spl154_211 ),
inference(avatar_contradiction_clause,[],[f3815]) ).
fof(f3855,plain,
( e3 != op(e3,e0)
| ~ spl154_37 ),
inference(superposition,[],[f421,f1147]) ).
fof(f3868,plain,
( op(e0,e0) != e4
| ~ spl154_39 ),
inference(superposition,[],[f501,f1156]) ).
fof(f3872,plain,
( ~ spl154_72
| ~ spl154_39 ),
inference(avatar_split_clause,[],[f3868,f1155,f1355]) ).
fof(f3894,plain,
( e3 != op(e3,e0)
| ~ sP58 ),
inference(global_subsumption,[],[f3504]) ).
fof(f3901,plain,
( ~ spl154_149
| ~ spl154_31 ),
inference(avatar_split_clause,[],[f3894,f1119,f1774]) ).
fof(f3905,plain,
( ~ spl154_31
| ~ spl154_37 ),
inference(avatar_split_clause,[],[f3855,f1146,f1119]) ).
fof(f3906,plain,
( e0 != unit
| ~ sP142 ),
inference(forward_subsumption_resolution,[],[f656,f3112]) ).
fof(f3907,plain,
( ~ spl154_93
| ~ spl154_47 ),
inference(avatar_split_clause,[],[f3906,f1191,f1483]) ).
fof(f3937,plain,
( e1 = op(e0,e1)
| ~ spl154_47 ),
inference(superposition,[],[f352,f1192]) ).
fof(f3938,plain,
( e0 = op(e0,e0)
| ~ spl154_47 ),
inference(superposition,[],[f353,f1192]) ).
fof(f3946,plain,
( $false
| ~ spl154_47
| spl154_48 ),
inference(forward_subsumption_resolution,[],[f3938,f1197]) ).
fof(f3947,plain,
( ~ spl154_47
| spl154_48 ),
inference(avatar_contradiction_clause,[],[f3946]) ).
fof(f3948,plain,
( $false
| ~ spl154_47
| spl154_59 ),
inference(forward_subsumption_resolution,[],[f3937,f1248]) ).
fof(f3949,plain,
( ~ spl154_47
| spl154_59 ),
inference(avatar_contradiction_clause,[],[f3948]) ).
fof(f4026,plain,
( e4 != op(e3,e3)
| ~ spl154_211 ),
inference(superposition,[],[f415,f3156]) ).
fof(f4039,plain,
( $false
| ~ spl154_211 ),
inference(forward_subsumption_resolution,[],[f4026,f2373]) ).
fof(f4040,plain,
~ spl154_211,
inference(avatar_contradiction_clause,[],[f4039]) ).
fof(f4085,plain,
( e3 = e4
| ~ sP10 ),
inference(forward_demodulation,[],[f935,f980]) ).
fof(f4090,plain,
~ sP10,
inference(forward_subsumption_resolution,[],[f4085,f505]) ).
fof(f4125,plain,
~ spl154_28,
inference(avatar_split_clause,[],[f4090,f1106]) ).
fof(f4131,plain,
( e0 = e4
| ~ sP15 ),
inference(forward_demodulation,[],[f920,f3112]) ).
fof(f4137,plain,
~ sP15,
inference(forward_subsumption_resolution,[],[f4131,f511]) ).
fof(f4195,plain,
( sP23
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0
| spl154_8
| spl154_10
| ~ spl154_48 ),
inference(forward_subsumption_resolution,[],[f2679,f1196]) ).
fof(f4196,plain,
( ~ sP20
| spl154_72 ),
inference(forward_subsumption_resolution,[],[f905,f1357]) ).
fof(f4205,plain,
( sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0
| spl154_6
| spl154_8
| spl154_10
| ~ spl154_48 ),
inference(forward_subsumption_resolution,[],[f4195,f1009]) ).
fof(f4208,plain,
( sP20
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0
| spl154_6
| spl154_8
| spl154_10
| spl154_14
| ~ spl154_48 ),
inference(forward_subsumption_resolution,[],[f4205,f1045]) ).
fof(f4211,plain,
( sP20
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0
| spl154_6
| spl154_8
| spl154_10
| spl154_14
| ~ spl154_48 ),
inference(forward_subsumption_resolution,[],[f4208,f978]) ).
fof(f4214,plain,
( sP20
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0
| spl154_6
| spl154_8
| spl154_10
| spl154_14
| spl154_16
| ~ spl154_48 ),
inference(forward_subsumption_resolution,[],[f4211,f1054]) ).
fof(f4217,plain,
( sP20
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0
| spl154_6
| spl154_8
| spl154_10
| spl154_14
| spl154_16
| spl154_18
| ~ spl154_48 ),
inference(forward_subsumption_resolution,[],[f4214,f1063]) ).
fof(f4220,plain,
( sP20
| sP15
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0
| spl154_6
| spl154_8
| spl154_10
| spl154_14
| spl154_16
| spl154_18
| spl154_22
| ~ spl154_48 ),
inference(forward_subsumption_resolution,[],[f4217,f1081]) ).
fof(f4223,plain,
( sP20
| sP15
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0
| spl154_6
| spl154_8
| spl154_10
| spl154_14
| spl154_16
| spl154_18
| spl154_22
| spl154_24
| ~ spl154_48 ),
inference(forward_subsumption_resolution,[],[f4220,f1090]) ).
fof(f4226,plain,
( sP20
| sP15
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0
| spl154_6
| spl154_8
| spl154_10
| spl154_14
| spl154_16
| spl154_18
| spl154_22
| spl154_24
| ~ spl154_48 ),
inference(forward_subsumption_resolution,[],[f4223,f976]) ).
fof(f4229,plain,
( sP20
| sP15
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0
| spl154_6
| spl154_8
| spl154_10
| spl154_14
| spl154_16
| spl154_18
| spl154_22
| spl154_24
| spl154_26
| ~ spl154_48 ),
inference(forward_subsumption_resolution,[],[f4226,f1099]) ).
fof(f4232,plain,
( sP20
| sP15
| sP10
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0
| spl154_6
| spl154_8
| spl154_10
| spl154_14
| spl154_16
| spl154_18
| spl154_22
| spl154_24
| spl154_26
| spl154_30
| ~ spl154_48 ),
inference(forward_subsumption_resolution,[],[f4229,f1117]) ).
fof(f4235,plain,
( sP20
| sP15
| sP10
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0
| spl154_6
| spl154_8
| spl154_10
| spl154_14
| spl154_16
| spl154_18
| spl154_22
| spl154_24
| spl154_26
| spl154_30
| spl154_32
| ~ spl154_48 ),
inference(forward_subsumption_resolution,[],[f4232,f1126]) ).
fof(f4238,plain,
( sP20
| sP15
| sP10
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0
| spl154_6
| spl154_8
| spl154_10
| spl154_14
| spl154_16
| spl154_18
| spl154_22
| spl154_24
| spl154_26
| spl154_30
| spl154_32
| spl154_34
| ~ spl154_48 ),
inference(forward_subsumption_resolution,[],[f4235,f1135]) ).
fof(f4241,plain,
( sP20
| sP15
| sP10
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0
| spl154_6
| spl154_8
| spl154_10
| spl154_14
| spl154_16
| spl154_18
| spl154_22
| spl154_24
| spl154_26
| spl154_30
| spl154_32
| spl154_34
| ~ spl154_48 ),
inference(forward_subsumption_resolution,[],[f4238,f974]) ).
fof(f4244,plain,
( sP20
| sP15
| sP10
| sP4
| sP3
| sP2
| sP1
| sP0
| spl154_6
| spl154_8
| spl154_10
| spl154_14
| spl154_16
| spl154_18
| spl154_22
| spl154_24
| spl154_26
| spl154_30
| spl154_32
| spl154_34
| spl154_36
| ~ spl154_48 ),
inference(forward_subsumption_resolution,[],[f4241,f1144]) ).
fof(f4247,plain,
( sP20
| sP15
| sP10
| sP3
| sP2
| sP1
| sP0
| spl154_6
| spl154_8
| spl154_10
| spl154_14
| spl154_16
| spl154_18
| spl154_22
| spl154_24
| spl154_26
| spl154_30
| spl154_32
| spl154_34
| spl154_36
| spl154_38
| ~ spl154_48 ),
inference(forward_subsumption_resolution,[],[f4244,f1153]) ).
fof(f4248,plain,
( sP20
| sP15
| sP10
| sP2
| sP1
| sP0
| spl154_6
| spl154_8
| spl154_10
| spl154_14
| spl154_16
| spl154_18
| spl154_22
| spl154_24
| spl154_26
| spl154_30
| spl154_32
| spl154_34
| spl154_36
| spl154_38
| spl154_40
| ~ spl154_48 ),
inference(forward_subsumption_resolution,[],[f4247,f1162]) ).
fof(f4249,plain,
( sP20
| sP15
| sP10
| sP1
| sP0
| spl154_6
| spl154_8
| spl154_10
| spl154_14
| spl154_16
| spl154_18
| spl154_22
| spl154_24
| spl154_26
| spl154_30
| spl154_32
| spl154_34
| spl154_36
| spl154_38
| spl154_40
| spl154_42
| ~ spl154_48 ),
inference(forward_subsumption_resolution,[],[f4248,f1171]) ).
fof(f4253,plain,
~ spl154_20,
inference(avatar_split_clause,[],[f4137,f1070]) ).
fof(f4254,plain,
( ~ spl154_12
| spl154_72 ),
inference(avatar_split_clause,[],[f4196,f1355,f1034]) ).
fof(f4257,plain,
( sP20
| sP10
| sP1
| sP0
| spl154_6
| spl154_8
| spl154_10
| spl154_14
| spl154_16
| spl154_18
| spl154_20
| spl154_22
| spl154_24
| spl154_26
| spl154_30
| spl154_32
| spl154_34
| spl154_36
| spl154_38
| spl154_40
| spl154_42
| ~ spl154_48 ),
inference(forward_subsumption_resolution,[],[f4249,f1072]) ).
fof(f4260,plain,
( sP20
| sP1
| sP0
| spl154_6
| spl154_8
| spl154_10
| spl154_14
| spl154_16
| spl154_18
| spl154_20
| spl154_22
| spl154_24
| spl154_26
| spl154_28
| spl154_30
| spl154_32
| spl154_34
| spl154_36
| spl154_38
| spl154_40
| spl154_42
| ~ spl154_48 ),
inference(forward_subsumption_resolution,[],[f4257,f1108]) ).
fof(f4261,plain,
( sP20
| sP1
| spl154_6
| spl154_8
| spl154_10
| spl154_14
| spl154_16
| spl154_18
| spl154_20
| spl154_22
| spl154_24
| spl154_26
| spl154_28
| spl154_30
| spl154_32
| spl154_34
| spl154_36
| spl154_38
| spl154_40
| spl154_42
| ~ spl154_48 ),
inference(forward_subsumption_resolution,[],[f4260,f972]) ).
fof(f4264,plain,
( sP1
| spl154_6
| spl154_8
| spl154_10
| spl154_12
| spl154_14
| spl154_16
| spl154_18
| spl154_20
| spl154_22
| spl154_24
| spl154_26
| spl154_28
| spl154_30
| spl154_32
| spl154_34
| spl154_36
| spl154_38
| spl154_40
| spl154_42
| ~ spl154_48 ),
inference(forward_subsumption_resolution,[],[f4261,f1036]) ).
fof(f4265,plain,
( spl154_44
| spl154_6
| spl154_8
| spl154_10
| spl154_12
| spl154_14
| spl154_16
| spl154_18
| spl154_20
| spl154_22
| spl154_24
| spl154_26
| spl154_28
| spl154_30
| spl154_32
| spl154_34
| spl154_36
| spl154_38
| spl154_40
| spl154_42
| ~ spl154_48 ),
inference(avatar_split_clause,[],[f4264,f1195,f1169,f1160,f1151,f1142,f1133,f1124,f1115,f1106,f1097,f1088,f1079,f1070,f1061,f1052,f1043,f1034,f1025,f1016,f1007,f1178]) ).
fof(f4267,plain,
( e4 != op(e4,e0)
| ~ spl154_41 ),
inference(superposition,[],[f414,f1165]) ).
fof(f4276,plain,
( $false
| ~ spl154_39
| ~ spl154_41 ),
inference(forward_subsumption_resolution,[],[f4267,f1156]) ).
fof(f4277,plain,
( ~ spl154_39
| ~ spl154_41 ),
inference(avatar_contradiction_clause,[],[f4276]) ).
fof(f4278,plain,
( ~ sP1
| spl154_197 ),
inference(forward_subsumption_resolution,[],[f962,f3065]) ).
fof(f4279,plain,
( $false
| ~ spl154_44
| spl154_197 ),
inference(forward_subsumption_resolution,[],[f4278,f1179]) ).
fof(f4280,plain,
( ~ spl154_44
| spl154_197 ),
inference(avatar_contradiction_clause,[],[f4279]) ).
fof(f4284,plain,
( e3 != op(e4,e1)
| ~ spl154_197 ),
inference(superposition,[],[f408,f3064]) ).
fof(f4377,plain,
( ~ spl154_185
| ~ spl154_197 ),
inference(avatar_split_clause,[],[f4284,f3063,f2920]) ).
fof(f4434,plain,
( e0 = op(e4,e1)
| e1 = op(e4,e1)
| e3 = op(e4,e1)
| e4 = op(e4,e1)
| spl154_183 ),
inference(forward_subsumption_resolution,[],[f322,f2901]) ).
fof(f4436,plain,
( e0 = op(e4,e1)
| e1 = op(e4,e1)
| e4 = op(e4,e1)
| spl154_183
| spl154_185 ),
inference(forward_subsumption_resolution,[],[f4434,f2921]) ).
fof(f4437,plain,
( e0 = op(e4,e1)
| e1 = op(e4,e1)
| spl154_41
| spl154_183
| spl154_185 ),
inference(forward_subsumption_resolution,[],[f4436,f1166]) ).
fof(f4439,definition,
( spl154_228
<=> e1 = op(e4,e1) ),
introduced(definition,[new_symbols(definition,[spl154_228])],[avatar_definition]) ).
fof(f4441,plain,
( e1 = op(e4,e1)
| ~ spl154_228 ),
inference(avatar_component_clause,[],[f4439]) ).
fof(f4443,definition,
( spl154_229
<=> e0 = op(e4,e1) ),
introduced(definition,[new_symbols(definition,[spl154_229])],[avatar_definition]) ).
fof(f4445,plain,
( e0 = op(e4,e1)
| ~ spl154_229 ),
inference(avatar_component_clause,[],[f4443]) ).
fof(f4446,plain,
( spl154_228
| spl154_229
| spl154_41
| spl154_183
| spl154_185 ),
inference(avatar_split_clause,[],[f4437,f2920,f2900,f1164,f4443,f4439]) ).
fof(f4452,plain,
( e1 != op(e0,e1)
| ~ spl154_228 ),
inference(superposition,[],[f491,f4441]) ).
fof(f4456,plain,
( $false
| ~ spl154_59
| ~ spl154_228 ),
inference(forward_subsumption_resolution,[],[f4452,f1247]) ).
fof(f4457,plain,
( ~ spl154_59
| ~ spl154_228 ),
inference(avatar_contradiction_clause,[],[f4456]) ).
fof(f4465,plain,
( e0 != op(e1,e1)
| ~ spl154_229 ),
inference(superposition,[],[f488,f4445]) ).
fof(f4471,plain,
( $false
| ~ spl154_229 ),
inference(forward_subsumption_resolution,[],[f4465,f3112]) ).
fof(f4472,plain,
~ spl154_229,
inference(avatar_contradiction_clause,[],[f4471]) ).
fof(f4485,plain,
( e1 != op(e1,e4)
| e4 = op(e1,e1)
| ~ spl154_109 ),
inference(forward_subsumption_resolution,[],[f713,f1572]) ).
fof(f4495,plain,
( e0 = e4
| e1 != op(e1,e4)
| ~ spl154_109 ),
inference(forward_demodulation,[],[f4485,f3112]) ).
fof(f4500,plain,
( e1 != op(e1,e4)
| ~ spl154_109 ),
inference(forward_subsumption_resolution,[],[f4495,f511]) ).
fof(f4512,plain,
( ~ spl154_21
| ~ spl154_109 ),
inference(avatar_split_clause,[],[f4500,f1570,f1074]) ).
cnf(s652,plain,
( spl154_1
| spl154_2
| spl154_3
| spl154_4
| spl154_5 ),
inference(sat_conversion,[],[f1005]) ).
cnf(s724,plain,
( ~ spl154_38
| ~ spl154_39 ),
inference(sat_conversion,[],[f1158]) ).
cnf(s985,plain,
( ~ spl154_5
| spl154_93 ),
inference(sat_conversion,[],[f1486]) ).
cnf(s1043,plain,
( ~ spl154_4
| spl154_101 ),
inference(sat_conversion,[],[f1533]) ).
cnf(s1075,plain,
( ~ spl154_4
| spl154_109 ),
inference(sat_conversion,[],[f1573]) ).
cnf(s1151,plain,
( ~ spl154_3
| spl154_127 ),
inference(sat_conversion,[],[f1664]) ).
cnf(s1167,plain,
( ~ spl154_3
| spl154_131 ),
inference(sat_conversion,[],[f1684]) ).
cnf(s1249,plain,
( ~ spl154_2
| spl154_149 ),
inference(sat_conversion,[],[f1777]) ).
cnf(s1261,plain,
( ~ spl154_2
| spl154_152 ),
inference(sat_conversion,[],[f1792]) ).
cnf(s1416,plain,
~ spl154_22,
inference(sat_conversion,[],[f1945]) ).
cnf(s1428,plain,
~ spl154_8,
inference(sat_conversion,[],[f2010]) ).
cnf(s1471,plain,
~ spl154_16,
inference(sat_conversion,[],[f2243]) ).
cnf(s1515,plain,
~ spl154_18,
inference(sat_conversion,[],[f2308]) ).
cnf(s1718,plain,
~ spl154_10,
inference(sat_conversion,[],[f2668]) ).
cnf(s1798,plain,
( ~ spl154_6
| spl154_57 ),
inference(sat_conversion,[],[f2822]) ).
cnf(s1858,plain,
( ~ spl154_101
| ~ spl154_183 ),
inference(sat_conversion,[],[f2916]) ).
cnf(s1984,plain,
( spl154_37
| ~ spl154_200 ),
inference(sat_conversion,[],[f3090]) ).
cnf(s2002,plain,
( spl154_47
| spl154_56
| spl154_61
| spl154_66
| spl154_71 ),
inference(sat_conversion,[],[f3118]) ).
cnf(s2034,plain,
( spl154_21
| ~ spl154_71 ),
inference(sat_conversion,[],[f3185]) ).
cnf(s2036,plain,
( spl154_29
| ~ spl154_71 ),
inference(sat_conversion,[],[f3187]) ).
cnf(s2094,plain,
( ~ spl154_1
| spl154_200 ),
inference(sat_conversion,[],[f3231]) ).
cnf(s2105,plain,
( ~ spl154_4
| spl154_55 ),
inference(sat_conversion,[],[f3234]) ).
cnf(s2148,plain,
( spl154_23
| ~ spl154_47 ),
inference(sat_conversion,[],[f3282]) ).
cnf(s2150,plain,
( spl154_31
| ~ spl154_47 ),
inference(sat_conversion,[],[f3284]) ).
cnf(s2152,plain,
( spl154_39
| ~ spl154_47 ),
inference(sat_conversion,[],[f3286]) ).
cnf(s2219,plain,
( ~ spl154_29
| ~ spl154_127 ),
inference(sat_conversion,[],[f3364]) ).
cnf(s2238,plain,
( spl154_27
| ~ spl154_152 ),
inference(sat_conversion,[],[f3372]) ).
cnf(s2264,plain,
( ~ spl154_27
| ~ spl154_29 ),
inference(sat_conversion,[],[f3428]) ).
cnf(s2380,plain,
~ spl154_7,
inference(sat_conversion,[],[f3460]) ).
cnf(s2405,plain,
~ spl154_61,
inference(sat_conversion,[],[f3490]) ).
cnf(s2428,plain,
~ spl154_34,
inference(sat_conversion,[],[f3522]) ).
cnf(s2439,plain,
~ spl154_40,
inference(sat_conversion,[],[f3533]) ).
cnf(s2455,plain,
( ~ spl154_36
| spl154_197 ),
inference(sat_conversion,[],[f3546]) ).
cnf(s2464,plain,
( ~ spl154_15
| ~ spl154_21 ),
inference(sat_conversion,[],[f3547]) ).
cnf(s2526,plain,
( spl154_7
| ~ spl154_56 ),
inference(sat_conversion,[],[f3590]) ).
cnf(s2575,plain,
( spl154_15
| ~ spl154_93 ),
inference(sat_conversion,[],[f3632]) ).
cnf(s2621,plain,
~ spl154_42,
inference(sat_conversion,[],[f3647]) ).
cnf(s2637,plain,
~ spl154_32,
inference(sat_conversion,[],[f3682]) ).
cnf(s2644,plain,
( ~ spl154_71
| ~ spl154_200 ),
inference(sat_conversion,[],[f3683]) ).
cnf(s2667,plain,
( ~ spl154_23
| ~ spl154_131 ),
inference(sat_conversion,[],[f3692]) ).
cnf(s2689,plain,
( ~ spl154_14
| spl154_57 ),
inference(sat_conversion,[],[f3698]) ).
cnf(s2699,plain,
~ spl154_30,
inference(sat_conversion,[],[f3720]) ).
cnf(s2708,plain,
~ spl154_26,
inference(sat_conversion,[],[f3743]) ).
cnf(s2718,plain,
~ spl154_24,
inference(sat_conversion,[],[f3768]) ).
cnf(s2730,plain,
( ~ spl154_55
| ~ spl154_57 ),
inference(sat_conversion,[],[f3769]) ).
cnf(s2825,plain,
( ~ spl154_66
| spl154_211 ),
inference(sat_conversion,[],[f3816]) ).
cnf(s2846,plain,
( ~ spl154_39
| ~ spl154_72 ),
inference(sat_conversion,[],[f3872]) ).
cnf(s2880,plain,
( ~ spl154_31
| ~ spl154_149 ),
inference(sat_conversion,[],[f3901]) ).
cnf(s2898,plain,
( ~ spl154_31
| ~ spl154_37 ),
inference(sat_conversion,[],[f3905]) ).
cnf(s2926,plain,
( ~ spl154_47
| ~ spl154_93 ),
inference(sat_conversion,[],[f3907]) ).
cnf(s2970,plain,
( ~ spl154_47
| spl154_48 ),
inference(sat_conversion,[],[f3947]) ).
cnf(s2971,plain,
( ~ spl154_47
| spl154_59 ),
inference(sat_conversion,[],[f3949]) ).
cnf(s3004,plain,
~ spl154_211,
inference(sat_conversion,[],[f4040]) ).
cnf(s3041,plain,
~ spl154_28,
inference(sat_conversion,[],[f4125]) ).
cnf(s3078,plain,
~ spl154_20,
inference(sat_conversion,[],[f4253]) ).
cnf(s3082,plain,
( ~ spl154_12
| spl154_72 ),
inference(sat_conversion,[],[f4254]) ).
cnf(s3112,plain,
( spl154_6
| spl154_8
| spl154_10
| spl154_12
| spl154_14
| spl154_16
| spl154_18
| spl154_20
| spl154_22
| spl154_24
| spl154_26
| spl154_28
| spl154_30
| spl154_32
| spl154_34
| spl154_36
| spl154_38
| spl154_40
| spl154_42
| spl154_44
| ~ spl154_48 ),
inference(sat_conversion,[],[f4265]) ).
cnf(s3115,plain,
( ~ spl154_39
| ~ spl154_41 ),
inference(sat_conversion,[],[f4277]) ).
cnf(s3118,plain,
( ~ spl154_44
| spl154_197 ),
inference(sat_conversion,[],[f4280]) ).
cnf(s3189,plain,
( ~ spl154_185
| ~ spl154_197 ),
inference(sat_conversion,[],[f4377]) ).
cnf(s3213,plain,
( spl154_41
| spl154_183
| spl154_185
| spl154_228
| spl154_229 ),
inference(sat_conversion,[],[f4446]) ).
cnf(s3216,plain,
( ~ spl154_59
| ~ spl154_228 ),
inference(sat_conversion,[],[f4457]) ).
cnf(s3221,plain,
~ spl154_229,
inference(sat_conversion,[],[f4472]) ).
cnf(s3263,plain,
( ~ spl154_21
| ~ spl154_109 ),
inference(sat_conversion,[],[f4512]) ).
cnf(s3264,plain,
( spl154_41
| spl154_183
| spl154_185
| spl154_228 ),
inference(rat,[],[s3213,s3221]) ).
cnf(s3265,plain,
~ spl154_66,
inference(rat,[],[s2825,s3004]) ).
cnf(s3270,plain,
~ spl154_56,
inference(rat,[],[s2526,s2380]) ).
cnf(s3272,plain,
( spl154_47
| spl154_71 ),
inference(rat,[],[s2002,s3265,s2405,s3270]) ).
cnf(s3283,plain,
~ spl154_93,
inference(rat,[],[s2034,s2464,s3272,s2575,s2926]) ).
cnf(s3284,plain,
~ spl154_5,
inference(rat,[],[s985,s3283]) ).
cnf(s3285,plain,
~ spl154_4,
inference(rat,[],[s3112,s2455,s3118,s3189,s3082,s3264,s724,s2846,s3115,s3216,s2152,s2970,s2971,s3272,s2034,s1798,s2689,s1858,s3263,s2730,s1043,s1075,s2105,s1718,s1428,s1471,s1515,s3078,s1416,s2718,s2708,s3041,s2699,s2637,s2428,s2439,s2621]) ).
cnf(s3286,plain,
~ spl154_3,
inference(rat,[],[s3272,s2036,s2148,s2219,s2667,s1151,s1167]) ).
cnf(s3287,plain,
~ spl154_2,
inference(rat,[],[s3272,s2036,s2150,s2264,s2880,s2238,s1249,s1261]) ).
cnf(s3288,plain,
spl154_1,
inference(rat,[],[s652,s3286,s3285,s3284,s3287]) ).
cnf(s3300,plain,
spl154_200,
inference(rat,[],[s2094,s3288]) ).
cnf(s3302,plain,
~ spl154_71,
inference(rat,[],[s2644,s3300]) ).
cnf(s3303,plain,
spl154_37,
inference(rat,[],[s1984,s3300]) ).
cnf(s3304,plain,
spl154_47,
inference(rat,[],[s3272,s3302]) ).
cnf(s3305,plain,
~ spl154_31,
inference(rat,[],[s2898,s3303]) ).
cnf(s3316,plain,
$false,
inference(rat,[],[s2150,s3304,s3305]) ).
fof(f4513,plain,
$false,
inference(avatar_sat_refutation,[],[s3316]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG058+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.16 % Computer : n013.cluster.edu
% 0.10/0.16 % Model : x86_64 x86_64
% 0.10/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.16 % Memory : 8046.5625MB
% 0.10/0.16 % OS : Linux 6.8.0-71-generic
% 0.10/0.16 % CPULimit : 300
% 0.10/0.16 % WCLimit : 300
% 0.10/0.16 % DateTime : Mon Sep 28 19:22:06 UTC 2026
% 0.10/0.16 % CPUTime :
% 0.10/0.16 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.19 Running first-order model finding
% 0.10/0.20 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.06/0.38 % (1472798)Will run a generic schedule for satisfiability detection.
% 1.06/0.38 % (1472808)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1957878662:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.06/0.38 % (1472804)% WARNING: option uhcvi not known.
% 1.06/0.38 % (1472805)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3974257582:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.06/0.38 % (1472803)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1171690052_2999 on theBenchmark for (2999ds/0Mi)
% 1.06/0.38 % (1472806)dis+10_1_sil=32000:sp=arity:random_seed=4003772039:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.06/0.38 % (1472807)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=177485792:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.06/0.38 % (1472809)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3747438412:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.06/0.38 % (1472804)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1637029347:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.06/0.38 % (1472808)Instruction limit reached!
% 1.06/0.38 % (1472808)------------------------------
% 1.06/0.38 % (1472808)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.06/0.38 % (1472808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.38 % (1472808)CaDiCaL version: 2.1.3
% 1.06/0.38 % (1472808)Termination reason: Instruction limit
% 1.06/0.38 % (1472808)Termination phase: Saturation
% 1.06/0.38 % (1472808)Time elapsed: 0.037 s
% 1.06/0.38 % (1472808)Peak memory usage: 13 MB
% 1.06/0.38 % (1472808)Instructions burned: 133 (million)
% 1.06/0.38 % Detected minimum model sizes of [5]
% 1.06/0.38 % Detected maximum model sizes of [max]
% 1.06/0.38 % TRYING [5]
% 1.06/0.38 % (1472817)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2757278662:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.06/0.38 % TRYING [6]
% 1.06/0.38 % (1472806)Instruction limit reached!
% 1.06/0.38 % (1472806)------------------------------
% 1.06/0.38 % (1472806)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.06/0.38 % (1472806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.38 % (1472806)CaDiCaL version: 2.1.3
% 1.06/0.38 % (1472806)Termination reason: Instruction limit
% 1.06/0.38 % (1472806)Termination phase: Saturation
% 1.06/0.38 % (1472806)Time elapsed: 0.055 s
% 1.06/0.38 % (1472806)Peak memory usage: 13 MB
% 1.06/0.38 % (1472806)Instructions burned: 104 (million)
% 1.06/0.38 % Detected minimum model sizes of [5]
% 1.06/0.38 % Detected maximum model sizes of [max]
% 1.06/0.38 % TRYING [5]
% 1.06/0.38 % (1472807)Instruction limit reached!
% 1.06/0.38 % (1472807)------------------------------
% 1.06/0.38 % (1472807)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.06/0.38 % (1472807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.38 % (1472807)CaDiCaL version: 2.1.3
% 1.06/0.38 % (1472807)Termination reason: Instruction limit
% 1.06/0.38 % (1472807)Termination phase: Saturation
% 1.06/0.38 % (1472807)Time elapsed: 0.062 s
% 1.06/0.38 % (1472807)Peak memory usage: 13 MB
% 1.06/0.38 % (1472807)Instructions burned: 117 (million)
% 1.06/0.38 % TRYING [6]
% 1.06/0.38 % TRYING [7]
% 1.06/0.38 % (1472819)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2906637554:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.06/0.38 % TRYING [7]
% 1.06/0.38 % (1472820)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3857526680:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.06/0.38 % (1472809)Instruction limit reached!
% 1.06/0.38 % (1472809)------------------------------
% 1.06/0.38 % (1472809)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.06/0.38 % (1472809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.38 % (1472809)CaDiCaL version: 2.1.3
% 1.06/0.38 % (1472809)Termination reason: Instruction limit
% 1.06/0.38 % (1472809)Termination phase: Saturation
% 1.06/0.38 % (1472809)Time elapsed: 0.091 s
% 1.06/0.38 % (1472809)Peak memory usage: 14 MB
% 1.06/0.38 % (1472809)Instructions burned: 163 (million)
% 1.06/0.38 % TRYING [8]
% 1.06/0.38 % (1472805) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1472798-1472805"...
% 1.06/0.38 % TRYING [8]
% 1.06/0.38 % (1472823)ott-21_1_sil=16000:fs=off:random_seed=171245917:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.06/0.38 % (1472819) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1472798-1472819"...
% 1.06/0.38 % TRYING [9]
% 1.06/0.38 % (1472805)...printing done.
% 1.06/0.38 % (1472805)Refutation found. Thanks to Tanya!
% 1.06/0.38 % SZS status Theorem for theBenchmark
% 1.06/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 1.06/0.38 % (1472805)------------------------------
% 1.06/0.38 % (1472805)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.06/0.38 % (1472805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.38 % (1472805)CaDiCaL version: 2.1.3
% 1.06/0.38 % (1472805)Termination reason: Refutation
% 1.06/0.38 % (1472805)Time elapsed: 0.126 s
% 1.06/0.38 % (1472805)Peak memory usage: 15 MB
% 1.06/0.38 % (1472805)Instructions burned: 241 (million)
% 1.06/0.38 % (1472798)Success in time 0.173 s
% 1.06/0.38 % Vampire exiting
%------------------------------------------------------------------------------