%------------------------------------------------------------------------------
% File : Vampire---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 THM
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:09:04 AM UTC 2026
% Result : Theorem 3.63s 1.18s
% Output : Refutation 4.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 248
% Syntax : Number of formulae : 733 ( 109 unt; 241 def)
% Number of atoms : 4090 (2626 equ)
% Maximal formula atoms : 450 ( 5 avg)
% Number of connectives : 5333 (1976 ~;1713 |;1557 &)
% ( 87 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 243 ( 241 usr; 242 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(f3,axiom,
( ( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0
| op(e0,e4) = e0 )
& ( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0
| op(e4,e0) = e0 )
& ( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e4) = e1 )
& ( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e4,e0) = e1 )
& ( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2
| op(e0,e4) = e2 )
& ( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2
| op(e4,e0) = e2 )
& ( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3
| op(e0,e4) = e3 )
& ( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3
| op(e4,e0) = e3 )
& ( op(e0,e0) = e4
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e3) = e4
| op(e0,e4) = e4 )
& ( op(e0,e0) = e4
| op(e1,e0) = e4
| op(e2,e0) = e4
| op(e3,e0) = e4
| op(e4,e0) = e4 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e4) = e0 )
& ( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e1) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1
| op(e1,e4) = e1 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e4,e1) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2
| op(e1,e4) = e2 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 )
& ( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4
| op(e1,e4) = e4 )
& ( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2
| op(e2,e4) = e2 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3
| op(e2,e4) = e3 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 )
& ( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 )
& ( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e4) = e0 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1
| op(e3,e4) = e1 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e4,e3) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2
| op(e3,e4) = e2 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3
| op(e3,e4) = e3 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3
| op(e4,e3) = e3 )
& ( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e3) = e4
| op(e3,e4) = e4 )
& ( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4
| op(e4,e3) = e4 )
& ( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e4) = e0
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 )
& ( op(e4,e0) = e1
| op(e4,e1) = e1
| op(e4,e2) = e1
| op(e4,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 )
& ( op(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e4) = e2
| op(e1,e4) = e2
| op(e2,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 )
& ( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 )
& ( op(e4,e0) = e4
| op(e4,e1) = e4
| op(e4,e2) = e4
| op(e4,e3) = e4
| op(e4,e4) = e4 )
& ( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4
| op(e4,e4) = e4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
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(f170,plain,
( op(e0,e0) != e0
| ( op(e0,e0) = e0
& e0 != unit )
| ~ sP148 ),
inference(nnf_transformation,[],[f158]) ).
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(f214,plain,
( op(e3,e4) != e1
| ( op(e3,e1) = e4
& e1 != unit )
| ~ sP104 ),
inference(nnf_transformation,[],[f114]) ).
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(f254,plain,
( op(e1,e4) != e3
| ( op(e1,e3) = e4
& e3 != unit )
| ~ sP64 ),
inference(nnf_transformation,[],[f74]) ).
fof(f257,plain,
( op(e2,e2) != e3
| ( op(e2,e3) = e2
& e3 != unit )
| ~ sP61 ),
inference(nnf_transformation,[],[f71]) ).
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(f324,plain,
( e0 = op(e3,e4)
| e1 = op(e3,e4)
| e2 = op(e3,e4)
| e3 = op(e3,e4)
| e4 = op(e3,e4) ),
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(f348,plain,
e3 = op(unit,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f349,plain,
e2 = op(e2,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f350,plain,
e2 = op(unit,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f351,plain,
e1 = op(e1,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f353,plain,
e0 = op(e0,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f354,plain,
e0 = op(unit,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f388,plain,
( e3 = op(e1,e0)
| e3 = op(e1,e1)
| e3 = op(e1,e2)
| e3 = op(e1,e3)
| e3 = op(e1,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f411,plain,
op(e4,e0) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f415,plain,
op(e3,e3) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f418,plain,
op(e3,e1) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f419,plain,
op(e3,e1) != 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(f455,plain,
op(e3,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f458,plain,
op(e1,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f469,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f474,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f480,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f494,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f499,plain,
op(e1,e0) != op(e3,e0),
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(f510,plain,
e1 != e2,
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(f543,plain,
( sP148
| ~ sP153 ),
inference(cnf_transformation,[],[f165]) ).
fof(f549,plain,
( sP104
| ~ sP152 ),
inference(cnf_transformation,[],[f166]) ).
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(f606,plain,
( sP61
| ~ sP150 ),
inference(cnf_transformation,[],[f168]) ).
fof(f609,plain,
( sP64
| ~ sP150 ),
inference(cnf_transformation,[],[f168]) ).
fof(f625,plain,
( sP30
| ~ sP149 ),
inference(cnf_transformation,[],[f169]) ).
fof(f644,plain,
( e0 != op(e0,e0)
| e0 != unit
| ~ sP148 ),
inference(cnf_transformation,[],[f170]) ).
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(f733,plain,
( e1 != op(e3,e4)
| e4 = op(e3,e1)
| ~ sP104 ),
inference(cnf_transformation,[],[f214]) ).
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(f813,plain,
( e3 != op(e1,e4)
| e4 = op(e1,e3)
| ~ sP64 ),
inference(cnf_transformation,[],[f254]) ).
fof(f819,plain,
( e3 != op(e2,e2)
| e2 = op(e2,e3)
| ~ sP61 ),
inference(cnf_transformation,[],[f257]) ).
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(f902,plain,
( op(e0,e0) = e3
| ~ sP21 ),
inference(cnf_transformation,[],[f297]) ).
fof(f904,plain,
( e0 = op(e4,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(f911,plain,
( e1 = op(e1,e1)
| ~ sP18 ),
inference(cnf_transformation,[],[f300]) ).
fof(f914,plain,
( e2 = op(e1,e1)
| ~ sP17 ),
inference(cnf_transformation,[],[f301]) ).
fof(f917,plain,
( e3 = op(e1,e1)
| ~ 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(f926,plain,
( e1 = op(e2,e2)
| ~ sP13 ),
inference(cnf_transformation,[],[f305]) ).
fof(f929,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(f936,plain,
( e3 != op(e3,e0)
| ~ 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(f947,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(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(f968,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(f971,definition,
( spl154_1
<=> sP0 ),
introduced(definition,[new_symbols(definition,[spl154_1])],[avatar_definition]) ).
fof(f975,definition,
( spl154_2
<=> sP1 ),
introduced(definition,[new_symbols(definition,[spl154_2])],[avatar_definition]) ).
fof(f979,definition,
( spl154_3
<=> sP2 ),
introduced(definition,[new_symbols(definition,[spl154_3])],[avatar_definition]) ).
fof(f983,definition,
( spl154_4
<=> sP3 ),
introduced(definition,[new_symbols(definition,[spl154_4])],[avatar_definition]) ).
fof(f987,definition,
( spl154_5
<=> sP4 ),
introduced(definition,[new_symbols(definition,[spl154_5])],[avatar_definition]) ).
fof(f991,definition,
( spl154_6
<=> sP5 ),
introduced(definition,[new_symbols(definition,[spl154_6])],[avatar_definition]) ).
fof(f995,definition,
( spl154_7
<=> sP6 ),
introduced(definition,[new_symbols(definition,[spl154_7])],[avatar_definition]) ).
fof(f999,definition,
( spl154_8
<=> sP7 ),
introduced(definition,[new_symbols(definition,[spl154_8])],[avatar_definition]) ).
fof(f1003,definition,
( spl154_9
<=> sP8 ),
introduced(definition,[new_symbols(definition,[spl154_9])],[avatar_definition]) ).
fof(f1007,definition,
( spl154_10
<=> sP9 ),
introduced(definition,[new_symbols(definition,[spl154_10])],[avatar_definition]) ).
fof(f1011,definition,
( spl154_11
<=> sP10 ),
introduced(definition,[new_symbols(definition,[spl154_11])],[avatar_definition]) ).
fof(f1015,definition,
( spl154_12
<=> sP11 ),
introduced(definition,[new_symbols(definition,[spl154_12])],[avatar_definition]) ).
fof(f1019,definition,
( spl154_13
<=> sP12 ),
introduced(definition,[new_symbols(definition,[spl154_13])],[avatar_definition]) ).
fof(f1023,definition,
( spl154_14
<=> sP13 ),
introduced(definition,[new_symbols(definition,[spl154_14])],[avatar_definition]) ).
fof(f1027,definition,
( spl154_15
<=> sP14 ),
introduced(definition,[new_symbols(definition,[spl154_15])],[avatar_definition]) ).
fof(f1031,definition,
( spl154_16
<=> sP15 ),
introduced(definition,[new_symbols(definition,[spl154_16])],[avatar_definition]) ).
fof(f1035,definition,
( spl154_17
<=> sP16 ),
introduced(definition,[new_symbols(definition,[spl154_17])],[avatar_definition]) ).
fof(f1039,definition,
( spl154_18
<=> sP17 ),
introduced(definition,[new_symbols(definition,[spl154_18])],[avatar_definition]) ).
fof(f1043,definition,
( spl154_19
<=> sP18 ),
introduced(definition,[new_symbols(definition,[spl154_19])],[avatar_definition]) ).
fof(f1047,definition,
( spl154_20
<=> sP19 ),
introduced(definition,[new_symbols(definition,[spl154_20])],[avatar_definition]) ).
fof(f1051,definition,
( spl154_21
<=> sP20 ),
introduced(definition,[new_symbols(definition,[spl154_21])],[avatar_definition]) ).
fof(f1055,definition,
( spl154_22
<=> sP21 ),
introduced(definition,[new_symbols(definition,[spl154_22])],[avatar_definition]) ).
fof(f1059,definition,
( spl154_23
<=> sP22 ),
introduced(definition,[new_symbols(definition,[spl154_23])],[avatar_definition]) ).
fof(f1063,definition,
( spl154_24
<=> sP23 ),
introduced(definition,[new_symbols(definition,[spl154_24])],[avatar_definition]) ).
fof(f1067,definition,
( spl154_25
<=> e0 = op(e0,e0) ),
introduced(definition,[new_symbols(definition,[spl154_25])],[avatar_definition]) ).
fof(f1068,plain,
( e0 = op(e0,e0)
| ~ spl154_25 ),
inference(avatar_component_clause,[],[f1067]) ).
fof(f1070,plain,
( spl154_1
| spl154_2
| spl154_3
| spl154_4
| spl154_5
| spl154_6
| spl154_7
| spl154_8
| spl154_9
| spl154_10
| spl154_11
| spl154_12
| spl154_13
| spl154_14
| spl154_15
| spl154_16
| spl154_17
| spl154_18
| spl154_19
| spl154_20
| spl154_21
| spl154_22
| spl154_23
| spl154_24
| ~ spl154_25 ),
inference(avatar_split_clause,[],[f966,f1067,f1063,f1059,f1055,f1051,f1047,f1043,f1039,f1035,f1031,f1027,f1023,f1019,f1015,f1011,f1007,f1003,f999,f995,f991,f987,f983,f979,f975,f971]) ).
fof(f1072,plain,
( spl154_1
| spl154_2
| spl154_3
| spl154_4
| spl154_5
| spl154_6
| spl154_7
| spl154_8
| spl154_9
| spl154_10
| spl154_11
| spl154_12
| spl154_13
| spl154_14
| spl154_15
| spl154_16
| spl154_17
| spl154_18
| spl154_19
| spl154_20
| spl154_21
| spl154_22
| spl154_23
| spl154_24
| spl154_25 ),
inference(avatar_split_clause,[],[f968,f1067,f1063,f1059,f1055,f1051,f1047,f1043,f1039,f1035,f1031,f1027,f1023,f1019,f1015,f1011,f1007,f1003,f999,f995,f991,f987,f983,f979,f975,f971]) ).
fof(f1074,definition,
( spl154_26
<=> sP149 ),
introduced(definition,[new_symbols(definition,[spl154_26])],[avatar_definition]) ).
fof(f1078,definition,
( spl154_27
<=> sP150 ),
introduced(definition,[new_symbols(definition,[spl154_27])],[avatar_definition]) ).
fof(f1082,definition,
( spl154_28
<=> sP151 ),
introduced(definition,[new_symbols(definition,[spl154_28])],[avatar_definition]) ).
fof(f1086,definition,
( spl154_29
<=> sP152 ),
introduced(definition,[new_symbols(definition,[spl154_29])],[avatar_definition]) ).
fof(f1090,definition,
( spl154_30
<=> sP153 ),
introduced(definition,[new_symbols(definition,[spl154_30])],[avatar_definition]) ).
fof(f1093,plain,
( spl154_26
| spl154_27
| spl154_28
| spl154_29
| spl154_30 ),
inference(avatar_split_clause,[],[f969,f1090,f1086,f1082,f1078,f1074]) ).
fof(f1095,definition,
( spl154_31
<=> e4 = op(e4,e4) ),
introduced(definition,[new_symbols(definition,[spl154_31])],[avatar_definition]) ).
fof(f1096,plain,
( e4 = op(e4,e4)
| ~ spl154_31 ),
inference(avatar_component_clause,[],[f1095]) ).
fof(f1099,plain,
( ~ spl154_1
| spl154_31 ),
inference(avatar_split_clause,[],[f964,f1095,f971]) ).
fof(f1107,definition,
( spl154_33
<=> e4 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl154_33])],[avatar_definition]) ).
fof(f1109,plain,
( e4 = op(e3,e3)
| ~ spl154_33 ),
inference(avatar_component_clause,[],[f1107]) ).
fof(f1112,definition,
( spl154_34
<=> e3 = op(e4,e4) ),
introduced(definition,[new_symbols(definition,[spl154_34])],[avatar_definition]) ).
fof(f1114,plain,
( e3 = op(e4,e4)
| ~ spl154_34 ),
inference(avatar_component_clause,[],[f1112]) ).
fof(f1115,plain,
( ~ spl154_2
| spl154_34 ),
inference(avatar_split_clause,[],[f962,f1112,f975]) ).
fof(f1122,definition,
( spl154_36
<=> e4 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl154_36])],[avatar_definition]) ).
fof(f1124,plain,
( e4 = op(e2,e2)
| ~ spl154_36 ),
inference(avatar_component_clause,[],[f1122]) ).
fof(f1125,plain,
( ~ spl154_3
| spl154_36 ),
inference(avatar_split_clause,[],[f958,f1122,f979]) ).
fof(f1137,definition,
( spl154_39
<=> e4 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl154_39])],[avatar_definition]) ).
fof(f1138,plain,
( e4 != op(e1,e1)
| spl154_39 ),
inference(avatar_component_clause,[],[f1137]) ).
fof(f1139,plain,
( e4 = op(e1,e1)
| ~ spl154_39 ),
inference(avatar_component_clause,[],[f1137]) ).
fof(f1140,plain,
( ~ spl154_4
| spl154_39 ),
inference(avatar_split_clause,[],[f955,f1137,f983]) ).
fof(f1147,definition,
( spl154_41
<=> e4 = op(e4,e0) ),
introduced(definition,[new_symbols(definition,[spl154_41])],[avatar_definition]) ).
fof(f1150,plain,
( ~ spl154_5
| ~ spl154_41 ),
inference(avatar_split_clause,[],[f951,f1147,f987]) ).
fof(f1157,definition,
( spl154_43
<=> e0 = op(e4,e4) ),
introduced(definition,[new_symbols(definition,[spl154_43])],[avatar_definition]) ).
fof(f1159,plain,
( e0 = op(e4,e4)
| ~ spl154_43 ),
inference(avatar_component_clause,[],[f1157]) ).
fof(f1162,definition,
( spl154_44
<=> e3 = op(e3,e4) ),
introduced(definition,[new_symbols(definition,[spl154_44])],[avatar_definition]) ).
fof(f1163,plain,
( e3 = op(e3,e4)
| ~ spl154_44 ),
inference(avatar_component_clause,[],[f1162]) ).
fof(f1166,plain,
( ~ spl154_6
| spl154_34 ),
inference(avatar_split_clause,[],[f949,f1112,f991]) ).
fof(f1169,definition,
( spl154_45
<=> e3 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl154_45])],[avatar_definition]) ).
fof(f1172,plain,
( ~ spl154_7
| ~ spl154_45 ),
inference(avatar_split_clause,[],[f945,f1169,f995]) ).
fof(f1174,plain,
( ~ spl154_7
| spl154_45 ),
inference(avatar_split_clause,[],[f947,f1169,f995]) ).
fof(f1181,definition,
( spl154_47
<=> e3 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl154_47])],[avatar_definition]) ).
fof(f1183,plain,
( e3 = op(e2,e2)
| ~ spl154_47 ),
inference(avatar_component_clause,[],[f1181]) ).
fof(f1186,definition,
( spl154_48
<=> e2 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl154_48])],[avatar_definition]) ).
fof(f1188,plain,
( e2 = op(e3,e3)
| ~ spl154_48 ),
inference(avatar_component_clause,[],[f1186]) ).
fof(f1189,plain,
( ~ spl154_8
| spl154_48 ),
inference(avatar_split_clause,[],[f944,f1186,f999]) ).
fof(f1196,definition,
( spl154_50
<=> e3 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl154_50])],[avatar_definition]) ).
fof(f1198,plain,
( e3 = op(e1,e1)
| ~ spl154_50 ),
inference(avatar_component_clause,[],[f1196]) ).
fof(f1199,plain,
( ~ spl154_9
| spl154_50 ),
inference(avatar_split_clause,[],[f940,f1196,f1003]) ).
fof(f1206,definition,
( spl154_52
<=> e3 = op(e3,e0) ),
introduced(definition,[new_symbols(definition,[spl154_52])],[avatar_definition]) ).
fof(f1207,plain,
( e3 = op(e3,e0)
| ~ spl154_52 ),
inference(avatar_component_clause,[],[f1206]) ).
fof(f1209,plain,
( ~ spl154_10
| ~ spl154_52 ),
inference(avatar_split_clause,[],[f936,f1206,f1007]) ).
fof(f1211,definition,
( spl154_53
<=> op(e0,e0) = e3 ),
introduced(definition,[new_symbols(definition,[spl154_53])],[avatar_definition]) ).
fof(f1213,plain,
( op(e0,e0) = e3
| ~ spl154_53 ),
inference(avatar_component_clause,[],[f1211]) ).
fof(f1221,definition,
( spl154_55
<=> e2 = op(e2,e4) ),
introduced(definition,[new_symbols(definition,[spl154_55])],[avatar_definition]) ).
fof(f1222,plain,
( e2 = op(e2,e4)
| ~ spl154_55 ),
inference(avatar_component_clause,[],[f1221]) ).
fof(f1226,plain,
( ~ spl154_11
| spl154_36 ),
inference(avatar_split_clause,[],[f935,f1122,f1011]) ).
fof(f1228,definition,
( spl154_56
<=> e2 = op(e2,e3) ),
introduced(definition,[new_symbols(definition,[spl154_56])],[avatar_definition]) ).
fof(f1232,plain,
( ~ spl154_12
| spl154_48 ),
inference(avatar_split_clause,[],[f931,f1186,f1015]) ).
fof(f1235,definition,
( spl154_57
<=> e2 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl154_57])],[avatar_definition]) ).
fof(f1236,plain,
( e2 = op(e2,e2)
| ~ spl154_57 ),
inference(avatar_component_clause,[],[f1235]) ).
fof(f1240,plain,
( ~ spl154_13
| spl154_57 ),
inference(avatar_split_clause,[],[f929,f1235,f1019]) ).
fof(f1247,definition,
( spl154_59
<=> e2 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl154_59])],[avatar_definition]) ).
fof(f1249,plain,
( e2 = op(e1,e1)
| ~ spl154_59 ),
inference(avatar_component_clause,[],[f1247]) ).
fof(f1252,definition,
( spl154_60
<=> e1 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl154_60])],[avatar_definition]) ).
fof(f1254,plain,
( e1 = op(e2,e2)
| ~ spl154_60 ),
inference(avatar_component_clause,[],[f1252]) ).
fof(f1255,plain,
( ~ spl154_14
| spl154_60 ),
inference(avatar_split_clause,[],[f926,f1252,f1023]) ).
fof(f1257,definition,
( spl154_61
<=> e2 = op(e2,e0) ),
introduced(definition,[new_symbols(definition,[spl154_61])],[avatar_definition]) ).
fof(f1267,definition,
( spl154_63
<=> e0 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl154_63])],[avatar_definition]) ).
fof(f1269,plain,
( e0 = op(e2,e2)
| ~ spl154_63 ),
inference(avatar_component_clause,[],[f1267]) ).
fof(f1270,plain,
( ~ spl154_15
| spl154_63 ),
inference(avatar_split_clause,[],[f923,f1267,f1027]) ).
fof(f1272,definition,
( spl154_64
<=> e1 = op(e1,e4) ),
introduced(definition,[new_symbols(definition,[spl154_64])],[avatar_definition]) ).
fof(f1273,plain,
( e1 = op(e1,e4)
| ~ spl154_64 ),
inference(avatar_component_clause,[],[f1272]) ).
fof(f1277,plain,
( ~ spl154_16
| spl154_39 ),
inference(avatar_split_clause,[],[f920,f1137,f1031]) ).
fof(f1284,plain,
( ~ spl154_17
| spl154_50 ),
inference(avatar_split_clause,[],[f917,f1196,f1035]) ).
fof(f1291,plain,
( ~ spl154_18
| spl154_59 ),
inference(avatar_split_clause,[],[f914,f1247,f1039]) ).
fof(f1293,definition,
( spl154_67
<=> e1 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl154_67])],[avatar_definition]) ).
fof(f1296,plain,
( ~ spl154_19
| ~ spl154_67 ),
inference(avatar_split_clause,[],[f909,f1293,f1043]) ).
fof(f1298,plain,
( ~ spl154_19
| spl154_67 ),
inference(avatar_split_clause,[],[f911,f1293,f1043]) ).
fof(f1300,definition,
( spl154_68
<=> e1 = op(e1,e0) ),
introduced(definition,[new_symbols(definition,[spl154_68])],[avatar_definition]) ).
fof(f1305,definition,
( spl154_69
<=> op(e0,e0) = e1 ),
introduced(definition,[new_symbols(definition,[spl154_69])],[avatar_definition]) ).
fof(f1308,plain,
( ~ spl154_20
| spl154_69 ),
inference(avatar_split_clause,[],[f907,f1305,f1047]) ).
fof(f1310,definition,
( spl154_70
<=> e0 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl154_70])],[avatar_definition]) ).
fof(f1312,plain,
( e0 = op(e1,e1)
| ~ spl154_70 ),
inference(avatar_component_clause,[],[f1310]) ).
fof(f1319,plain,
( ~ spl154_21
| spl154_43 ),
inference(avatar_split_clause,[],[f904,f1157,f1051]) ).
fof(f1327,plain,
( ~ spl154_22
| spl154_53 ),
inference(avatar_split_clause,[],[f902,f1211,f1055]) ).
fof(f1333,plain,
( ~ spl154_23
| spl154_63 ),
inference(avatar_split_clause,[],[f898,f1267,f1059]) ).
fof(f1336,definition,
( spl154_74
<=> e0 = op(e0,e1) ),
introduced(definition,[new_symbols(definition,[spl154_74])],[avatar_definition]) ).
fof(f1341,plain,
( ~ spl154_24
| spl154_69 ),
inference(avatar_split_clause,[],[f896,f1305,f1063]) ).
fof(f1347,definition,
( spl154_76
<=> e4 = unit ),
introduced(definition,[new_symbols(definition,[spl154_76])],[avatar_definition]) ).
fof(f1348,plain,
( e4 = unit
| ~ spl154_76 ),
inference(avatar_component_clause,[],[f1347]) ).
fof(f1380,definition,
( spl154_82
<=> e4 = op(e3,e4) ),
introduced(definition,[new_symbols(definition,[spl154_82])],[avatar_definition]) ).
fof(f1381,plain,
( e4 = op(e3,e4)
| ~ spl154_82 ),
inference(avatar_component_clause,[],[f1380]) ).
fof(f1385,definition,
( spl154_83
<=> sP30 ),
introduced(definition,[new_symbols(definition,[spl154_83])],[avatar_definition]) ).
fof(f1388,plain,
( ~ spl154_83
| ~ spl154_76
| ~ spl154_33 ),
inference(avatar_split_clause,[],[f880,f1107,f1347,f1385]) ).
fof(f1389,plain,
( ~ spl154_83
| spl154_44
| ~ spl154_33 ),
inference(avatar_split_clause,[],[f881,f1107,f1162,f1385]) ).
fof(f1400,definition,
( spl154_86
<=> e2 = op(e3,e4) ),
introduced(definition,[new_symbols(definition,[spl154_86])],[avatar_definition]) ).
fof(f1402,plain,
( e2 = op(e3,e4)
| ~ spl154_86 ),
inference(avatar_component_clause,[],[f1400]) ).
fof(f1409,definition,
( spl154_88
<=> e4 = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[spl154_88])],[avatar_definition]) ).
fof(f1414,definition,
( spl154_89
<=> e1 = op(e3,e4) ),
introduced(definition,[new_symbols(definition,[spl154_89])],[avatar_definition]) ).
fof(f1428,definition,
( spl154_92
<=> e0 = op(e3,e4) ),
introduced(definition,[new_symbols(definition,[spl154_92])],[avatar_definition]) ).
fof(f1503,definition,
( spl154_108
<=> e4 = op(e1,e3) ),
introduced(definition,[new_symbols(definition,[spl154_108])],[avatar_definition]) ).
fof(f1508,definition,
( spl154_109
<=> e3 = op(e1,e4) ),
introduced(definition,[new_symbols(definition,[spl154_109])],[avatar_definition]) ).
fof(f1608,definition,
( spl154_130
<=> e3 = unit ),
introduced(definition,[new_symbols(definition,[spl154_130])],[avatar_definition]) ).
fof(f1609,plain,
( e3 = unit
| ~ spl154_130 ),
inference(avatar_component_clause,[],[f1608]) ).
fof(f1709,definition,
( spl154_150
<=> sP61 ),
introduced(definition,[new_symbols(definition,[spl154_150])],[avatar_definition]) ).
fof(f1713,plain,
( ~ spl154_150
| spl154_56
| ~ spl154_47 ),
inference(avatar_split_clause,[],[f819,f1181,f1228,f1709]) ).
fof(f1743,definition,
( spl154_157
<=> sP64 ),
introduced(definition,[new_symbols(definition,[spl154_157])],[avatar_definition]) ).
fof(f1747,plain,
( ~ spl154_157
| spl154_108
| ~ spl154_109 ),
inference(avatar_split_clause,[],[f813,f1508,f1503,f1743]) ).
fof(f1753,definition,
( spl154_159
<=> e3 = op(e1,e3) ),
introduced(definition,[new_symbols(definition,[spl154_159])],[avatar_definition]) ).
fof(f1754,plain,
( e3 = op(e1,e3)
| ~ spl154_159 ),
inference(avatar_component_clause,[],[f1753]) ).
fof(f1762,definition,
( spl154_161
<=> e3 = op(e1,e2) ),
introduced(definition,[new_symbols(definition,[spl154_161])],[avatar_definition]) ).
fof(f1763,plain,
( e3 = op(e1,e2)
| ~ spl154_161 ),
inference(avatar_component_clause,[],[f1762]) ).
fof(f1782,definition,
( spl154_165
<=> e3 = op(e1,e0) ),
introduced(definition,[new_symbols(definition,[spl154_165])],[avatar_definition]) ).
fof(f1802,definition,
( spl154_169
<=> e3 = op(e0,e3) ),
introduced(definition,[new_symbols(definition,[spl154_169])],[avatar_definition]) ).
fof(f1845,definition,
( spl154_178
<=> e2 = unit ),
introduced(definition,[new_symbols(definition,[spl154_178])],[avatar_definition]) ).
fof(f1846,plain,
( e2 = unit
| ~ spl154_178 ),
inference(avatar_component_clause,[],[f1845]) ).
fof(f1919,definition,
( spl154_193
<=> e2 = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[spl154_193])],[avatar_definition]) ).
fof(f1924,definition,
( spl154_194
<=> e1 = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[spl154_194])],[avatar_definition]) ).
fof(f1943,definition,
( spl154_198
<=> sP84 ),
introduced(definition,[new_symbols(definition,[spl154_198])],[avatar_definition]) ).
fof(f1947,plain,
( ~ spl154_198
| spl154_36
| ~ spl154_55 ),
inference(avatar_split_clause,[],[f773,f1221,f1122,f1943]) ).
fof(f1966,definition,
( spl154_202
<=> sP88 ),
introduced(definition,[new_symbols(definition,[spl154_202])],[avatar_definition]) ).
fof(f1970,plain,
( ~ spl154_202
| spl154_63
| ~ spl154_61 ),
inference(avatar_split_clause,[],[f765,f1257,f1267,f1966]) ).
fof(f2058,definition,
( spl154_220
<=> e1 = unit ),
introduced(definition,[new_symbols(definition,[spl154_220])],[avatar_definition]) ).
fof(f2059,plain,
( e1 = unit
| ~ spl154_220 ),
inference(avatar_component_clause,[],[f2058]) ).
fof(f2099,definition,
( spl154_228
<=> sP104 ),
introduced(definition,[new_symbols(definition,[spl154_228])],[avatar_definition]) ).
fof(f2103,plain,
( ~ spl154_228
| spl154_88
| ~ spl154_89 ),
inference(avatar_split_clause,[],[f733,f1414,f1409,f2099]) ).
fof(f2111,definition,
( spl154_230
<=> sP106 ),
introduced(definition,[new_symbols(definition,[spl154_230])],[avatar_definition]) ).
fof(f2115,plain,
( ~ spl154_230
| spl154_193
| ~ spl154_194 ),
inference(avatar_split_clause,[],[f729,f1924,f1919,f2111]) ).
fof(f2181,definition,
( spl154_244
<=> sP114 ),
introduced(definition,[new_symbols(definition,[spl154_244])],[avatar_definition]) ).
fof(f2185,plain,
( ~ spl154_244
| spl154_39
| ~ spl154_64 ),
inference(avatar_split_clause,[],[f713,f1272,f1137,f2181]) ).
fof(f2237,definition,
( spl154_254
<=> sP123 ),
introduced(definition,[new_symbols(definition,[spl154_254])],[avatar_definition]) ).
fof(f2241,plain,
( ~ spl154_254
| spl154_74
| ~ spl154_69 ),
inference(avatar_split_clause,[],[f695,f1305,f1336,f2237]) ).
fof(f2247,definition,
( spl154_256
<=> e0 = unit ),
introduced(definition,[new_symbols(definition,[spl154_256])],[avatar_definition]) ).
fof(f2248,plain,
( e0 = unit
| ~ spl154_256 ),
inference(avatar_component_clause,[],[f2247]) ).
fof(f2275,definition,
( spl154_261
<=> e0 = op(e4,e0) ),
introduced(definition,[new_symbols(definition,[spl154_261])],[avatar_definition]) ).
fof(f2364,definition,
( spl154_277
<=> sP142 ),
introduced(definition,[new_symbols(definition,[spl154_277])],[avatar_definition]) ).
fof(f2368,plain,
( ~ spl154_277
| spl154_68
| ~ spl154_70 ),
inference(avatar_split_clause,[],[f657,f1310,f1300,f2364]) ).
fof(f2403,definition,
( spl154_284
<=> sP148 ),
introduced(definition,[new_symbols(definition,[spl154_284])],[avatar_definition]) ).
fof(f2406,plain,
( ~ spl154_284
| ~ spl154_256
| ~ spl154_25 ),
inference(avatar_split_clause,[],[f644,f1067,f2247,f2403]) ).
fof(f2413,plain,
( ~ spl154_26
| spl154_83 ),
inference(avatar_split_clause,[],[f625,f1385,f1074]) ).
fof(f2444,plain,
( ~ spl154_27
| spl154_150 ),
inference(avatar_split_clause,[],[f606,f1709,f1078]) ).
fof(f2447,plain,
( ~ spl154_27
| spl154_157 ),
inference(avatar_split_clause,[],[f609,f1743,f1078]) ).
fof(f2467,plain,
( ~ spl154_28
| spl154_198 ),
inference(avatar_split_clause,[],[f579,f1943,f1082]) ).
fof(f2471,plain,
( ~ spl154_28
| spl154_202 ),
inference(avatar_split_clause,[],[f583,f1966,f1082]) ).
fof(f2487,plain,
( ~ spl154_29
| spl154_228 ),
inference(avatar_split_clause,[],[f549,f2099,f1086]) ).
fof(f2489,plain,
( ~ spl154_29
| spl154_230 ),
inference(avatar_split_clause,[],[f551,f2111,f1086]) ).
fof(f2497,plain,
( ~ spl154_29
| spl154_244 ),
inference(avatar_split_clause,[],[f559,f2181,f1086]) ).
fof(f2506,plain,
( ~ spl154_29
| spl154_254 ),
inference(avatar_split_clause,[],[f568,f2237,f1086]) ).
fof(f2525,plain,
( ~ spl154_30
| spl154_277 ),
inference(avatar_split_clause,[],[f537,f2364,f1090]) ).
fof(f2531,plain,
( ~ spl154_30
| spl154_284 ),
inference(avatar_split_clause,[],[f543,f2403,f1090]) ).
fof(f2532,plain,
spl154_47,
inference(avatar_split_clause,[],[f516,f1181]) ).
fof(f2566,plain,
( spl154_109
| spl154_159
| spl154_161
| spl154_50
| spl154_165 ),
inference(avatar_split_clause,[],[f388,f1782,f1196,f1762,f1753,f1508]) ).
fof(f2583,plain,
( spl154_76
| spl154_130
| spl154_178
| spl154_220
| spl154_256 ),
inference(avatar_split_clause,[],[f344,f2247,f2058,f1845,f1608,f1347]) ).
fof(f2589,plain,
( spl154_82
| spl154_44
| spl154_86
| spl154_89
| spl154_92 ),
inference(avatar_split_clause,[],[f324,f1428,f1414,f1400,f1162,f1380]) ).
fof(f2619,plain,
( e4 = op(e3,e4)
| ~ spl154_130 ),
inference(superposition,[],[f346,f1609]) ).
fof(f2636,plain,
( spl154_82
| ~ spl154_130 ),
inference(avatar_split_clause,[],[f2619,f1608,f1380]) ).
fof(f2643,plain,
( e2 = op(e2,e2)
| ~ spl154_178 ),
inference(superposition,[],[f350,f1846]) ).
fof(f2654,plain,
( spl154_57
| ~ spl154_178 ),
inference(avatar_split_clause,[],[f2643,f1845,f1235]) ).
fof(f2667,plain,
( e0 = op(e0,e1)
| ~ spl154_220 ),
inference(superposition,[],[f353,f2059]) ).
fof(f2673,plain,
( spl154_74
| ~ spl154_220 ),
inference(avatar_split_clause,[],[f2667,f2058,f1336]) ).
fof(f2681,plain,
( e4 = op(e4,e0)
| ~ spl154_256 ),
inference(superposition,[],[f345,f2248]) ).
fof(f2683,plain,
( e3 = op(e3,e0)
| ~ spl154_256 ),
inference(superposition,[],[f347,f2248]) ).
fof(f2684,plain,
( e3 = op(e0,e3)
| ~ spl154_256 ),
inference(superposition,[],[f348,f2248]) ).
fof(f2685,plain,
( e2 = op(e2,e0)
| ~ spl154_256 ),
inference(superposition,[],[f349,f2248]) ).
fof(f2698,plain,
( spl154_61
| ~ spl154_256 ),
inference(avatar_split_clause,[],[f2685,f2247,f1257]) ).
fof(f2699,plain,
( spl154_169
| ~ spl154_256 ),
inference(avatar_split_clause,[],[f2684,f2247,f1802]) ).
fof(f2700,plain,
( spl154_52
| ~ spl154_256 ),
inference(avatar_split_clause,[],[f2683,f2247,f1206]) ).
fof(f2702,plain,
( spl154_41
| ~ spl154_256 ),
inference(avatar_split_clause,[],[f2681,f2247,f1147]) ).
fof(f2706,plain,
( e4 != op(e4,e0)
| ~ spl154_31 ),
inference(superposition,[],[f411,f1096]) ).
fof(f2715,plain,
( ~ spl154_41
| ~ spl154_31 ),
inference(avatar_split_clause,[],[f2706,f1095,f1147]) ).
fof(f2734,plain,
( e4 != op(e3,e1)
| ~ spl154_33 ),
inference(superposition,[],[f419,f1109]) ).
fof(f2737,plain,
( e4 != op(e1,e3)
| ~ spl154_33 ),
inference(superposition,[],[f469,f1109]) ).
fof(f2740,plain,
( ~ spl154_108
| ~ spl154_33 ),
inference(avatar_split_clause,[],[f2737,f1107,f1503]) ).
fof(f2743,plain,
( ~ spl154_88
| ~ spl154_33 ),
inference(avatar_split_clause,[],[f2734,f1107,f1409]) ).
fof(f2751,plain,
( e3 != op(e1,e4)
| ~ spl154_34 ),
inference(superposition,[],[f458,f1114]) ).
fof(f2755,plain,
( ~ spl154_109
| ~ spl154_34 ),
inference(avatar_split_clause,[],[f2751,f1112,f1508]) ).
fof(f2770,plain,
( e0 != op(e4,e0)
| ~ spl154_25 ),
inference(forward_demodulation,[],[f501,f1068]) ).
fof(f2771,plain,
( ~ spl154_261
| ~ spl154_25 ),
inference(avatar_split_clause,[],[f2770,f1067,f2275]) ).
fof(f2812,plain,
e0 = op(e1,e1),
inference(forward_demodulation,[],[f518,f517]) ).
fof(f2813,plain,
spl154_70,
inference(avatar_split_clause,[],[f2812,f1310]) ).
fof(f2852,plain,
( e0 != op(e3,e4)
| ~ spl154_43 ),
inference(superposition,[],[f455,f1159]) ).
fof(f2863,plain,
( ~ spl154_92
| ~ spl154_43 ),
inference(avatar_split_clause,[],[f2852,f1157,f1428]) ).
fof(f2871,plain,
( e3 != op(e3,e0)
| ~ spl154_44 ),
inference(superposition,[],[f421,f1163]) ).
fof(f2878,plain,
( ~ spl154_52
| ~ spl154_44 ),
inference(avatar_split_clause,[],[f2871,f1162,f1206]) ).
fof(f2893,plain,
( e2 = op(e2,e4)
| ~ spl154_76 ),
inference(superposition,[],[f349,f1348]) ).
fof(f2895,plain,
( e1 = op(e1,e4)
| ~ spl154_76 ),
inference(superposition,[],[f351,f1348]) ).
fof(f2898,plain,
( e0 = op(e4,e0)
| ~ spl154_76 ),
inference(superposition,[],[f354,f1348]) ).
fof(f2902,plain,
( spl154_261
| ~ spl154_76 ),
inference(avatar_split_clause,[],[f2898,f1347,f2275]) ).
fof(f2905,plain,
( spl154_64
| ~ spl154_76 ),
inference(avatar_split_clause,[],[f2895,f1347,f1272]) ).
fof(f2907,plain,
( spl154_55
| ~ spl154_76 ),
inference(avatar_split_clause,[],[f2893,f1347,f1221]) ).
fof(f2936,plain,
( e3 = e4
| ~ spl154_36
| ~ spl154_47 ),
inference(superposition,[],[f1183,f1124]) ).
fof(f2938,plain,
( e4 = op(e3,e3)
| ~ spl154_47 ),
inference(superposition,[],[f515,f1183]) ).
fof(f2939,plain,
( e1 = op(e3,e2)
| ~ spl154_47 ),
inference(superposition,[],[f517,f1183]) ).
fof(f2940,plain,
( spl154_194
| ~ spl154_47 ),
inference(avatar_split_clause,[],[f2939,f1181,f1924]) ).
fof(f2945,plain,
( $false
| ~ spl154_36
| ~ spl154_47 ),
inference(forward_subsumption_resolution,[],[f2936,f505]) ).
fof(f2946,plain,
( ~ spl154_36
| ~ spl154_47 ),
inference(avatar_contradiction_clause,[],[f2945]) ).
fof(f2948,plain,
( spl154_33
| ~ spl154_47 ),
inference(avatar_split_clause,[],[f2938,f1181,f1107]) ).
fof(f2956,plain,
( e2 = e4
| ~ spl154_33
| ~ spl154_48 ),
inference(superposition,[],[f1188,f1109]) ).
fof(f2973,plain,
( $false
| ~ spl154_33
| ~ spl154_48 ),
inference(forward_subsumption_resolution,[],[f2956,f506]) ).
fof(f2974,plain,
( ~ spl154_33
| ~ spl154_48 ),
inference(avatar_contradiction_clause,[],[f2973]) ).
fof(f3002,plain,
( e2 != op(e2,e3)
| ~ spl154_55 ),
inference(superposition,[],[f425,f1222]) ).
fof(f3003,plain,
( ~ spl154_56
| ~ spl154_55 ),
inference(avatar_split_clause,[],[f3002,f1221,f1228]) ).
fof(f3035,plain,
( e0 = e3
| ~ spl154_47
| ~ spl154_63 ),
inference(superposition,[],[f1269,f1183]) ).
fof(f3044,plain,
( $false
| ~ spl154_47
| ~ spl154_63 ),
inference(forward_subsumption_resolution,[],[f3035,f512]) ).
fof(f3045,plain,
( ~ spl154_47
| ~ spl154_63 ),
inference(avatar_contradiction_clause,[],[f3044]) ).
fof(f3062,plain,
( e4 = op(e1,e1)
| ~ spl154_60 ),
inference(superposition,[],[f515,f1254]) ).
fof(f3065,plain,
( $false
| spl154_39
| ~ spl154_60 ),
inference(forward_subsumption_resolution,[],[f3062,f1138]) ).
fof(f3066,plain,
( spl154_39
| ~ spl154_60 ),
inference(avatar_contradiction_clause,[],[f3065]) ).
fof(f3076,plain,
( e1 != op(e1,e0)
| ~ spl154_64 ),
inference(superposition,[],[f441,f1273]) ).
fof(f3081,plain,
( ~ spl154_68
| ~ spl154_64 ),
inference(avatar_split_clause,[],[f3076,f1272,f1300]) ).
fof(f3101,plain,
( e0 = e4
| ~ spl154_39
| ~ spl154_70 ),
inference(superposition,[],[f1312,f1139]) ).
fof(f3105,plain,
( e0 != op(e0,e1)
| ~ spl154_70 ),
inference(superposition,[],[f494,f1312]) ).
fof(f3110,plain,
( ~ spl154_74
| ~ spl154_70 ),
inference(avatar_split_clause,[],[f3105,f1310,f1336]) ).
fof(f3114,plain,
( $false
| ~ spl154_39
| ~ spl154_70 ),
inference(forward_subsumption_resolution,[],[f3101,f511]) ).
fof(f3115,plain,
( ~ spl154_39
| ~ spl154_70 ),
inference(avatar_contradiction_clause,[],[f3114]) ).
fof(f3171,plain,
( e0 = op(e0,e0)
| ~ spl154_256 ),
inference(superposition,[],[f354,f2248]) ).
fof(f3180,plain,
( spl154_25
| ~ spl154_256 ),
inference(avatar_split_clause,[],[f3171,f2247,f1067]) ).
fof(f3208,plain,
( e3 != op(e1,e0)
| ~ spl154_52 ),
inference(superposition,[],[f499,f1207]) ).
fof(f3212,plain,
( ~ spl154_165
| ~ spl154_52 ),
inference(avatar_split_clause,[],[f3208,f1206,f1782]) ).
fof(f3214,plain,
( e0 = e3
| ~ spl154_25
| ~ spl154_53 ),
inference(forward_demodulation,[],[f1213,f1068]) ).
fof(f3215,plain,
( $false
| ~ spl154_25
| ~ spl154_53 ),
inference(forward_subsumption_resolution,[],[f3214,f512]) ).
fof(f3216,plain,
( ~ spl154_25
| ~ spl154_53 ),
inference(avatar_contradiction_clause,[],[f3215]) ).
fof(f3221,plain,
( e1 = op(e2,e2)
| ~ spl154_57 ),
inference(superposition,[],[f517,f1236]) ).
fof(f3222,plain,
( e1 = e2
| ~ spl154_57 ),
inference(forward_demodulation,[],[f3221,f1236]) ).
fof(f3228,plain,
( $false
| ~ spl154_57 ),
inference(forward_subsumption_resolution,[],[f3222,f510]) ).
fof(f3229,plain,
~ spl154_57,
inference(avatar_contradiction_clause,[],[f3228]) ).
fof(f3233,plain,
( e0 = e2
| ~ spl154_59
| ~ spl154_70 ),
inference(superposition,[],[f1249,f1312]) ).
fof(f3242,plain,
( $false
| ~ spl154_59
| ~ spl154_70 ),
inference(forward_subsumption_resolution,[],[f3233,f513]) ).
fof(f3243,plain,
( ~ spl154_59
| ~ spl154_70 ),
inference(avatar_contradiction_clause,[],[f3242]) ).
fof(f3256,plain,
( e2 != op(e3,e1)
| ~ spl154_86 ),
inference(superposition,[],[f418,f1402]) ).
fof(f3266,plain,
( ~ spl154_193
| ~ spl154_86 ),
inference(avatar_split_clause,[],[f3256,f1400,f1919]) ).
fof(f3287,plain,
( e4 != op(e3,e3)
| ~ spl154_82 ),
inference(superposition,[],[f415,f1381]) ).
fof(f3301,plain,
( $false
| ~ spl154_33
| ~ spl154_82 ),
inference(forward_subsumption_resolution,[],[f3287,f1109]) ).
fof(f3302,plain,
( ~ spl154_33
| ~ spl154_82 ),
inference(avatar_contradiction_clause,[],[f3301]) ).
fof(f3484,plain,
( e3 != op(e0,e3)
| ~ spl154_159 ),
inference(superposition,[],[f474,f1754]) ).
fof(f3487,plain,
( ~ spl154_169
| ~ spl154_159 ),
inference(avatar_split_clause,[],[f3484,f1753,f1802]) ).
fof(f3494,plain,
( e3 != op(e2,e2)
| ~ spl154_161 ),
inference(superposition,[],[f480,f1763]) ).
fof(f3495,plain,
( $false
| ~ spl154_47
| ~ spl154_161 ),
inference(forward_subsumption_resolution,[],[f3494,f1183]) ).
fof(f3496,plain,
( ~ spl154_47
| ~ spl154_161 ),
inference(avatar_contradiction_clause,[],[f3495]) ).
fof(f3502,plain,
( e0 = e3
| ~ spl154_50
| ~ spl154_70 ),
inference(forward_demodulation,[],[f1198,f1312]) ).
fof(f3507,plain,
( $false
| ~ spl154_50
| ~ spl154_70 ),
inference(forward_subsumption_resolution,[],[f3502,f512]) ).
fof(f3508,plain,
( ~ spl154_50
| ~ spl154_70 ),
inference(avatar_contradiction_clause,[],[f3507]) ).
cnf(s1,plain,
( spl154_1
| spl154_2
| spl154_3
| spl154_4
| spl154_5
| spl154_6
| spl154_7
| spl154_8
| spl154_9
| spl154_10
| spl154_11
| spl154_12
| spl154_13
| spl154_14
| spl154_15
| spl154_16
| spl154_17
| spl154_18
| spl154_19
| spl154_20
| spl154_21
| spl154_22
| spl154_23
| spl154_24
| ~ spl154_25 ),
inference(sat_conversion,[],[f1070]) ).
cnf(s3,plain,
( spl154_1
| spl154_2
| spl154_3
| spl154_4
| spl154_5
| spl154_6
| spl154_7
| spl154_8
| spl154_9
| spl154_10
| spl154_11
| spl154_12
| spl154_13
| spl154_14
| spl154_15
| spl154_16
| spl154_17
| spl154_18
| spl154_19
| spl154_20
| spl154_21
| spl154_22
| spl154_23
| spl154_24
| spl154_25 ),
inference(sat_conversion,[],[f1072]) ).
cnf(s4,plain,
( spl154_26
| spl154_27
| spl154_28
| spl154_29
| spl154_30 ),
inference(sat_conversion,[],[f1093]) ).
cnf(s6,plain,
( ~ spl154_1
| spl154_31 ),
inference(sat_conversion,[],[f1099]) ).
cnf(s10,plain,
( ~ spl154_2
| spl154_34 ),
inference(sat_conversion,[],[f1115]) ).
cnf(s12,plain,
( ~ spl154_3
| spl154_36 ),
inference(sat_conversion,[],[f1125]) ).
cnf(s15,plain,
( ~ spl154_4
| spl154_39 ),
inference(sat_conversion,[],[f1140]) ).
cnf(s17,plain,
( ~ spl154_5
| ~ spl154_41 ),
inference(sat_conversion,[],[f1150]) ).
cnf(s21,plain,
( ~ spl154_6
| spl154_34 ),
inference(sat_conversion,[],[f1166]) ).
cnf(s23,plain,
( ~ spl154_7
| ~ spl154_45 ),
inference(sat_conversion,[],[f1172]) ).
cnf(s25,plain,
( ~ spl154_7
| spl154_45 ),
inference(sat_conversion,[],[f1174]) ).
cnf(s28,plain,
( ~ spl154_8
| spl154_48 ),
inference(sat_conversion,[],[f1189]) ).
cnf(s30,plain,
( ~ spl154_9
| spl154_50 ),
inference(sat_conversion,[],[f1199]) ).
cnf(s32,plain,
( ~ spl154_10
| ~ spl154_52 ),
inference(sat_conversion,[],[f1209]) ).
cnf(s37,plain,
( ~ spl154_11
| spl154_36 ),
inference(sat_conversion,[],[f1226]) ).
cnf(s39,plain,
( ~ spl154_12
| spl154_48 ),
inference(sat_conversion,[],[f1232]) ).
cnf(s43,plain,
( ~ spl154_13
| spl154_57 ),
inference(sat_conversion,[],[f1240]) ).
cnf(s46,plain,
( ~ spl154_14
| spl154_60 ),
inference(sat_conversion,[],[f1255]) ).
cnf(s49,plain,
( ~ spl154_15
| spl154_63 ),
inference(sat_conversion,[],[f1270]) ).
cnf(s52,plain,
( ~ spl154_16
| spl154_39 ),
inference(sat_conversion,[],[f1277]) ).
cnf(s55,plain,
( ~ spl154_17
| spl154_50 ),
inference(sat_conversion,[],[f1284]) ).
cnf(s58,plain,
( ~ spl154_18
| spl154_59 ),
inference(sat_conversion,[],[f1291]) ).
cnf(s59,plain,
( ~ spl154_19
| ~ spl154_67 ),
inference(sat_conversion,[],[f1296]) ).
cnf(s61,plain,
( ~ spl154_19
| spl154_67 ),
inference(sat_conversion,[],[f1298]) ).
cnf(s63,plain,
( ~ spl154_20
| spl154_69 ),
inference(sat_conversion,[],[f1308]) ).
cnf(s66,plain,
( ~ spl154_21
| spl154_43 ),
inference(sat_conversion,[],[f1319]) ).
cnf(s70,plain,
( ~ spl154_22
| spl154_53 ),
inference(sat_conversion,[],[f1327]) ).
cnf(s72,plain,
( ~ spl154_23
| spl154_63 ),
inference(sat_conversion,[],[f1333]) ).
cnf(s76,plain,
( ~ spl154_24
| spl154_69 ),
inference(sat_conversion,[],[f1341]) ).
cnf(s87,plain,
( ~ spl154_33
| ~ spl154_76
| ~ spl154_83 ),
inference(sat_conversion,[],[f1388]) ).
cnf(s88,plain,
( ~ spl154_33
| spl154_44
| ~ spl154_83 ),
inference(sat_conversion,[],[f1389]) ).
cnf(s144,plain,
( ~ spl154_47
| spl154_56
| ~ spl154_150 ),
inference(sat_conversion,[],[f1713]) ).
cnf(s150,plain,
( spl154_108
| ~ spl154_109
| ~ spl154_157 ),
inference(sat_conversion,[],[f1747]) ).
cnf(s186,plain,
( spl154_36
| ~ spl154_55
| ~ spl154_198 ),
inference(sat_conversion,[],[f1947]) ).
cnf(s193,plain,
( ~ spl154_61
| spl154_63
| ~ spl154_202 ),
inference(sat_conversion,[],[f1970]) ).
cnf(s222,plain,
( spl154_88
| ~ spl154_89
| ~ spl154_228 ),
inference(sat_conversion,[],[f2103]) ).
cnf(s226,plain,
( spl154_193
| ~ spl154_194
| ~ spl154_230 ),
inference(sat_conversion,[],[f2115]) ).
cnf(s240,plain,
( spl154_39
| ~ spl154_64
| ~ spl154_244 ),
inference(sat_conversion,[],[f2185]) ).
cnf(s256,plain,
( ~ spl154_69
| spl154_74
| ~ spl154_254 ),
inference(sat_conversion,[],[f2241]) ).
cnf(s291,plain,
( spl154_68
| ~ spl154_70
| ~ spl154_277 ),
inference(sat_conversion,[],[f2368]) ).
cnf(s301,plain,
( ~ spl154_25
| ~ spl154_256
| ~ spl154_284 ),
inference(sat_conversion,[],[f2406]) ).
cnf(s308,plain,
( ~ spl154_26
| spl154_83 ),
inference(sat_conversion,[],[f2413]) ).
cnf(s339,plain,
( ~ spl154_27
| spl154_150 ),
inference(sat_conversion,[],[f2444]) ).
cnf(s342,plain,
( ~ spl154_27
| spl154_157 ),
inference(sat_conversion,[],[f2447]) ).
cnf(s362,plain,
( ~ spl154_28
| spl154_198 ),
inference(sat_conversion,[],[f2467]) ).
cnf(s366,plain,
( ~ spl154_28
| spl154_202 ),
inference(sat_conversion,[],[f2471]) ).
cnf(s382,plain,
( ~ spl154_29
| spl154_228 ),
inference(sat_conversion,[],[f2487]) ).
cnf(s384,plain,
( ~ spl154_29
| spl154_230 ),
inference(sat_conversion,[],[f2489]) ).
cnf(s392,plain,
( ~ spl154_29
| spl154_244 ),
inference(sat_conversion,[],[f2497]) ).
cnf(s401,plain,
( ~ spl154_29
| spl154_254 ),
inference(sat_conversion,[],[f2506]) ).
cnf(s420,plain,
( ~ spl154_30
| spl154_277 ),
inference(sat_conversion,[],[f2525]) ).
cnf(s426,plain,
( ~ spl154_30
| spl154_284 ),
inference(sat_conversion,[],[f2531]) ).
cnf(s427,plain,
spl154_47,
inference(sat_conversion,[],[f2532]) ).
cnf(s461,plain,
( spl154_50
| spl154_109
| spl154_159
| spl154_161
| spl154_165 ),
inference(sat_conversion,[],[f2566]) ).
cnf(s478,plain,
( spl154_76
| spl154_130
| spl154_178
| spl154_220
| spl154_256 ),
inference(sat_conversion,[],[f2583]) ).
cnf(s484,plain,
( spl154_44
| spl154_82
| spl154_86
| spl154_89
| spl154_92 ),
inference(sat_conversion,[],[f2589]) ).
cnf(s516,plain,
( spl154_82
| ~ spl154_130 ),
inference(sat_conversion,[],[f2636]) ).
cnf(s522,plain,
( spl154_57
| ~ spl154_178 ),
inference(sat_conversion,[],[f2654]) ).
cnf(s529,plain,
( spl154_74
| ~ spl154_220 ),
inference(sat_conversion,[],[f2673]) ).
cnf(s541,plain,
( spl154_61
| ~ spl154_256 ),
inference(sat_conversion,[],[f2698]) ).
cnf(s542,plain,
( spl154_169
| ~ spl154_256 ),
inference(sat_conversion,[],[f2699]) ).
cnf(s543,plain,
( spl154_52
| ~ spl154_256 ),
inference(sat_conversion,[],[f2700]) ).
cnf(s545,plain,
( spl154_41
| ~ spl154_256 ),
inference(sat_conversion,[],[f2702]) ).
cnf(s550,plain,
( ~ spl154_31
| ~ spl154_41 ),
inference(sat_conversion,[],[f2715]) ).
cnf(s562,plain,
( ~ spl154_33
| ~ spl154_108 ),
inference(sat_conversion,[],[f2740]) ).
cnf(s565,plain,
( ~ spl154_33
| ~ spl154_88 ),
inference(sat_conversion,[],[f2743]) ).
cnf(s568,plain,
( ~ spl154_34
| ~ spl154_109 ),
inference(sat_conversion,[],[f2755]) ).
cnf(s579,plain,
( ~ spl154_25
| ~ spl154_261 ),
inference(sat_conversion,[],[f2771]) ).
cnf(s598,plain,
spl154_70,
inference(sat_conversion,[],[f2813]) ).
cnf(s617,plain,
( ~ spl154_43
| ~ spl154_92 ),
inference(sat_conversion,[],[f2863]) ).
cnf(s624,plain,
( ~ spl154_44
| ~ spl154_52 ),
inference(sat_conversion,[],[f2878]) ).
cnf(s639,plain,
( ~ spl154_76
| spl154_261 ),
inference(sat_conversion,[],[f2902]) ).
cnf(s642,plain,
( spl154_64
| ~ spl154_76 ),
inference(sat_conversion,[],[f2905]) ).
cnf(s644,plain,
( spl154_55
| ~ spl154_76 ),
inference(sat_conversion,[],[f2907]) ).
cnf(s671,plain,
( ~ spl154_47
| spl154_194 ),
inference(sat_conversion,[],[f2940]) ).
cnf(s674,plain,
( ~ spl154_36
| ~ spl154_47 ),
inference(sat_conversion,[],[f2946]) ).
cnf(s681,plain,
( spl154_33
| ~ spl154_47 ),
inference(sat_conversion,[],[f2948]) ).
cnf(s695,plain,
( ~ spl154_33
| ~ spl154_48 ),
inference(sat_conversion,[],[f2974]) ).
cnf(s704,plain,
( ~ spl154_55
| ~ spl154_56 ),
inference(sat_conversion,[],[f3003]) ).
cnf(s718,plain,
( ~ spl154_47
| ~ spl154_63 ),
inference(sat_conversion,[],[f3045]) ).
cnf(s731,plain,
( spl154_39
| ~ spl154_60 ),
inference(sat_conversion,[],[f3066]) ).
cnf(s735,plain,
( ~ spl154_64
| ~ spl154_68 ),
inference(sat_conversion,[],[f3081]) ).
cnf(s754,plain,
( ~ spl154_70
| ~ spl154_74 ),
inference(sat_conversion,[],[f3110]) ).
cnf(s758,plain,
( ~ spl154_39
| ~ spl154_70 ),
inference(sat_conversion,[],[f3115]) ).
cnf(s834,plain,
( spl154_25
| ~ spl154_256 ),
inference(sat_conversion,[],[f3180]) ).
cnf(s851,plain,
( ~ spl154_52
| ~ spl154_165 ),
inference(sat_conversion,[],[f3212]) ).
cnf(s852,plain,
( ~ spl154_25
| ~ spl154_53 ),
inference(sat_conversion,[],[f3216]) ).
cnf(s855,plain,
~ spl154_57,
inference(sat_conversion,[],[f3229]) ).
cnf(s861,plain,
( ~ spl154_59
| ~ spl154_70 ),
inference(sat_conversion,[],[f3243]) ).
cnf(s864,plain,
( ~ spl154_86
| ~ spl154_193 ),
inference(sat_conversion,[],[f3266]) ).
cnf(s873,plain,
( ~ spl154_33
| ~ spl154_82 ),
inference(sat_conversion,[],[f3302]) ).
cnf(s917,plain,
( ~ spl154_159
| ~ spl154_169 ),
inference(sat_conversion,[],[f3487]) ).
cnf(s918,plain,
( ~ spl154_47
| ~ spl154_161 ),
inference(sat_conversion,[],[f3496]) ).
cnf(s923,plain,
( ~ spl154_50
| ~ spl154_70 ),
inference(sat_conversion,[],[f3508]) ).
cnf(s924,plain,
~ spl154_50,
inference(rat,[],[s923,s598]) ).
cnf(s925,plain,
~ spl154_59,
inference(rat,[],[s861,s598]) ).
cnf(s926,plain,
~ spl154_39,
inference(rat,[],[s758,s598]) ).
cnf(s930,plain,
~ spl154_74,
inference(rat,[],[s754,s598]) ).
cnf(s931,plain,
~ spl154_60,
inference(rat,[],[s731,s926]) ).
cnf(s932,plain,
~ spl154_220,
inference(rat,[],[s529,s930]) ).
cnf(s933,plain,
~ spl154_178,
inference(rat,[],[s522,s855]) ).
cnf(s939,plain,
( spl154_76
| spl154_130
| spl154_256 ),
inference(rat,[],[s478,s932,s933]) ).
cnf(s944,plain,
( spl154_109
| spl154_159
| spl154_161
| spl154_165 ),
inference(rat,[],[s461,s924]) ).
cnf(s954,plain,
~ spl154_161,
inference(rat,[],[s918,s427]) ).
cnf(s958,plain,
~ spl154_63,
inference(rat,[],[s718,s427]) ).
cnf(s959,plain,
spl154_33,
inference(rat,[],[s681,s427]) ).
cnf(s960,plain,
~ spl154_36,
inference(rat,[],[s674,s427]) ).
cnf(s961,plain,
spl154_194,
inference(rat,[],[s671,s427]) ).
cnf(s962,plain,
~ spl154_82,
inference(rat,[],[s873,s959]) ).
cnf(s963,plain,
~ spl154_48,
inference(rat,[],[s695,s959]) ).
cnf(s965,plain,
~ spl154_88,
inference(rat,[],[s565,s959]) ).
cnf(s968,plain,
~ spl154_108,
inference(rat,[],[s562,s959]) ).
cnf(s971,plain,
~ spl154_130,
inference(rat,[],[s516,s962]) ).
cnf(s972,plain,
( spl154_68
| ~ spl154_277 ),
inference(rat,[],[s291,s598]) ).
cnf(s975,plain,
( ~ spl154_69
| ~ spl154_254 ),
inference(rat,[],[s256,s930]) ).
cnf(s978,plain,
( ~ spl154_64
| ~ spl154_244 ),
inference(rat,[],[s240,s926]) ).
cnf(s981,plain,
( spl154_193
| ~ spl154_230 ),
inference(rat,[],[s226,s961]) ).
cnf(s982,plain,
( ~ spl154_89
| ~ spl154_228 ),
inference(rat,[],[s222,s965]) ).
cnf(s985,plain,
( ~ spl154_61
| ~ spl154_202 ),
inference(rat,[],[s193,s958]) ).
cnf(s987,plain,
( ~ spl154_55
| ~ spl154_198 ),
inference(rat,[],[s186,s960]) ).
cnf(s990,plain,
( ~ spl154_109
| ~ spl154_157 ),
inference(rat,[],[s150,s968]) ).
cnf(s991,plain,
( spl154_56
| ~ spl154_150 ),
inference(rat,[],[s144,s427]) ).
cnf(s994,plain,
( spl154_44
| ~ spl154_83 ),
inference(rat,[],[s88,s959]) ).
cnf(s995,plain,
( ~ spl154_76
| ~ spl154_83 ),
inference(rat,[],[s87,s959]) ).
cnf(s996,plain,
~ spl154_23,
inference(rat,[],[s72,s958]) ).
cnf(s997,plain,
~ spl154_18,
inference(rat,[],[s58,s925]) ).
cnf(s998,plain,
~ spl154_17,
inference(rat,[],[s55,s924]) ).
cnf(s999,plain,
~ spl154_16,
inference(rat,[],[s52,s926]) ).
cnf(s1000,plain,
~ spl154_15,
inference(rat,[],[s49,s958]) ).
cnf(s1001,plain,
~ spl154_14,
inference(rat,[],[s46,s931]) ).
cnf(s1002,plain,
~ spl154_13,
inference(rat,[],[s43,s855]) ).
cnf(s1003,plain,
~ spl154_12,
inference(rat,[],[s39,s963]) ).
cnf(s1004,plain,
~ spl154_11,
inference(rat,[],[s37,s960]) ).
cnf(s1005,plain,
~ spl154_9,
inference(rat,[],[s30,s924]) ).
cnf(s1006,plain,
~ spl154_8,
inference(rat,[],[s28,s963]) ).
cnf(s1007,plain,
~ spl154_4,
inference(rat,[],[s15,s926]) ).
cnf(s1008,plain,
~ spl154_3,
inference(rat,[],[s12,s960]) ).
cnf(s1009,plain,
( spl154_1
| spl154_2
| spl154_5
| spl154_6
| spl154_7
| spl154_10
| spl154_19
| spl154_20
| spl154_21
| spl154_22
| spl154_24
| spl154_25 ),
inference(rat,[],[s3,s996,s997,s998,s999,s1000,s1001,s1002,s1003,s1004,s1005,s1006,s1007,s1008]) ).
cnf(s1011,plain,
( spl154_1
| spl154_2
| spl154_5
| spl154_6
| spl154_7
| spl154_10
| spl154_19
| spl154_20
| spl154_21
| spl154_22
| spl154_24
| ~ spl154_25 ),
inference(rat,[],[s1,s996,s997,s998,s999,s1000,s1001,s1002,s1003,s1004,s1005,s1006,s1007,s1008]) ).
cnf(s1012,plain,
( spl154_24
| spl154_22
| spl154_1
| spl154_2
| spl154_5
| spl154_6
| spl154_7
| spl154_10
| spl154_19
| spl154_20
| spl154_21 ),
inference(rat,[],[s1011,s1009]) ).
cnf(s1013,plain,
( ~ spl154_25
| spl154_29 ),
inference(rat,[],[s4,s342,s308,s990,s366,s994,s944,s426,s985,s917,s624,s851,s301,s541,s542,s543,s939,s639,s579,s954,s971]) ).
cnf(s1014,plain,
spl154_29,
inference(rat,[],[s4,s420,s339,s972,s362,s991,s308,s735,s987,s704,s995,s642,s644,s939,s834,s1013,s971]) ).
cnf(s1015,plain,
spl154_254,
inference(rat,[],[s401,s1014]) ).
cnf(s1024,plain,
spl154_244,
inference(rat,[],[s392,s1014]) ).
cnf(s1032,plain,
spl154_230,
inference(rat,[],[s384,s1014]) ).
cnf(s1034,plain,
spl154_228,
inference(rat,[],[s382,s1014]) ).
cnf(s1040,plain,
~ spl154_69,
inference(rat,[],[s975,s1015]) ).
cnf(s1043,plain,
~ spl154_64,
inference(rat,[],[s978,s1024]) ).
cnf(s1046,plain,
spl154_193,
inference(rat,[],[s981,s1032]) ).
cnf(s1047,plain,
~ spl154_89,
inference(rat,[],[s982,s1034]) ).
cnf(s1048,plain,
~ spl154_24,
inference(rat,[],[s76,s1040]) ).
cnf(s1049,plain,
~ spl154_76,
inference(rat,[],[s642,s1043]) ).
cnf(s1050,plain,
~ spl154_86,
inference(rat,[],[s864,s1046]) ).
cnf(s1051,plain,
spl154_256,
inference(rat,[],[s939,s971,s1049]) ).
cnf(s1052,plain,
spl154_25,
inference(rat,[],[s834,s1051]) ).
cnf(s1053,plain,
spl154_41,
inference(rat,[],[s545,s1051]) ).
cnf(s1055,plain,
spl154_52,
inference(rat,[],[s543,s1051]) ).
cnf(s1056,plain,
spl154_169,
inference(rat,[],[s542,s1051]) ).
cnf(s1063,plain,
~ spl154_53,
inference(rat,[],[s852,s1052]) ).
cnf(s1074,plain,
~ spl154_31,
inference(rat,[],[s550,s1053]) ).
cnf(s1079,plain,
~ spl154_165,
inference(rat,[],[s851,s1055]) ).
cnf(s1081,plain,
~ spl154_44,
inference(rat,[],[s624,s1055]) ).
cnf(s1082,plain,
~ spl154_159,
inference(rat,[],[s917,s1056]) ).
cnf(s1087,plain,
~ spl154_22,
inference(rat,[],[s70,s1063]) ).
cnf(s1092,plain,
spl154_109,
inference(rat,[],[s944,s1082,s954,s1079]) ).
cnf(s1094,plain,
spl154_92,
inference(rat,[],[s484,s1047,s1050,s962,s1081]) ).
cnf(s1097,plain,
~ spl154_34,
inference(rat,[],[s568,s1092]) ).
cnf(s1104,plain,
~ spl154_43,
inference(rat,[],[s617,s1094]) ).
cnf(s1106,plain,
~ spl154_21,
inference(rat,[],[s66,s1104]) ).
cnf(s1107,plain,
~ spl154_20,
inference(rat,[],[s63,s1040]) ).
cnf(s1114,plain,
~ spl154_19,
inference(rat,[],[s59,s61]) ).
cnf(s1115,plain,
~ spl154_10,
inference(rat,[],[s32,s1055]) ).
cnf(s1128,plain,
~ spl154_7,
inference(rat,[],[s23,s25]) ).
cnf(s1129,plain,
~ spl154_6,
inference(rat,[],[s21,s1097]) ).
cnf(s1130,plain,
~ spl154_5,
inference(rat,[],[s17,s1053]) ).
cnf(s1131,plain,
~ spl154_2,
inference(rat,[],[s10,s1097]) ).
cnf(s1132,plain,
spl154_1,
inference(rat,[],[s1012,s1048,s1107,s1087,s1106,s1114,s1115,s1128,s1129,s1130,s1131]) ).
cnf(s1133,plain,
$false,
inference(rat,[],[s6,s1074,s1132]) ).
fof(f3509,plain,
$false,
inference(avatar_sat_refutation,[],[s1133]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % 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 THM
% 0.08/0.19 % Computer : n006.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 19:22:25 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.63/1.18 % (89818)Detected formulas, will run a generic FOF schedule.
% 3.63/1.18 % (89824)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=583783013:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.63/1.18 % (89825)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3974511199:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.63/1.18 % (89826)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3960654571:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.63/1.18 % (89823)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3040629089:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.63/1.18 % (89829)dis-21_1_sil=8000:lcm=predicate:random_seed=2149712434:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.63/1.18 % (89827)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1337148763:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.63/1.18 % (89829)Refutation not found, incomplete strategy
% 3.63/1.18 % (89829)------------------------------
% 3.63/1.18 % (89829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.63/1.18 % (89829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/1.18 % (89829)CaDiCaL version: 2.1.3
% 3.63/1.18 % (89829)Termination reason: Refutation not found, incomplete strategy
% 3.63/1.18 % (89829)Time elapsed: 0.019 s
% 3.63/1.18 % (89829)Peak memory usage: 89 MB
% 3.63/1.18 % (89829)Instructions burned: 36 (million)
% 3.63/1.18 % (89826)Refutation not found, incomplete strategy
% 3.63/1.18 % (89826)------------------------------
% 3.63/1.18 % (89826)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.63/1.18 % (89826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/1.18 % (89826)CaDiCaL version: 2.1.3
% 3.63/1.18 % (89826)Termination reason: Refutation not found, incomplete strategy
% 3.63/1.18 % (89826)Time elapsed: 0.021 s
% 3.63/1.18 % (89826)Peak memory usage: 90 MB
% 3.63/1.18 % (89826)Instructions burned: 43 (million)
% 3.63/1.18 % (89828)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3805296259:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.63/1.18 % (89827)Instruction limit reached!
% 3.63/1.18 % (89827)------------------------------
% 3.63/1.18 % (89827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.63/1.18 % (89827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/1.18 % (89827)CaDiCaL version: 2.1.3
% 3.63/1.18 % (89827)Termination reason: Instruction limit
% 3.63/1.18 % (89827)Termination phase: Saturation
% 3.63/1.18 % (89827)Time elapsed: 0.054 s
% 3.63/1.18 % (89827)Peak memory usage: 88 MB
% 3.63/1.18 % (89827)Instructions burned: 119 (million)
% 3.63/1.18 % (89828)First to succeed.
% 3.63/1.18 % (89828)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-89818"
% 3.63/1.18 [W928 19:22:26.543875921 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.63/1.18 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.63/1.18 [W928 19:22:26.543904918 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.63/1.18 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.63/1.18 [W928 19:22:26.543925681 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.63/1.18 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.63/1.18 [W928 19:22:26.543931958 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.63/1.18 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.63/1.18 [W928 19:22:26.543944915 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.63/1.18 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.63/1.18 [W928 19:22:26.543950311 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.63/1.18 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.63/1.18 % (89837)lrs+10_1_sil=8000:sp=occurrence:random_seed=4097260408:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.63/1.18 % (89826)------------------------------
% 3.63/1.18 % (89826)------------------------------
% 3.63/1.18 % (89829)------------------------------
% 3.63/1.18 % (89829)------------------------------
% 3.63/1.18 % (89837)Also succeeded, but the first one will report.
% 3.63/1.18 % (89828)Refutation found. Thanks to Tanya!
% 3.63/1.18 % SZS status Theorem for theBenchmark
% 3.63/1.18 % SZS output start Proof for theBenchmark
% See solution above
% 4.04/1.28 % (89828)------------------------------
% 4.04/1.28 % (89828)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.04/1.28 % (89828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.04/1.28 % (89828)CaDiCaL version: 2.1.3
% 4.04/1.28 % (89828)Termination reason: Refutation
% 4.04/1.28 % (89828)Time elapsed: 0.056 s
% 4.04/1.28 % (89828)Peak memory usage: 91 MB
% 4.04/1.28 % (89828)Instructions burned: 105 (million)
% 4.04/1.28 % (89828)------------------------------
% 4.04/1.28 % (89828)------------------------------
% 4.04/1.28 % (89818)Success in time 0.507 s
% 4.04/1.28 % Vampire exiting
%------------------------------------------------------------------------------