%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG044+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 09:08:16 AM UTC 2026
% Result : Theorem 2.28s 0.74s
% Output : Refutation 2.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 137
% Syntax : Number of formulae : 529 ( 121 unt; 133 def)
% Number of atoms : 2414 (1468 equ)
% Maximal formula atoms : 220 ( 4 avg)
% Number of connectives : 3291 (1406 ~;1013 |; 791 &)
% ( 81 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 66 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 135 ( 133 usr; 134 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( e0 != e1
& e0 != e2
& e0 != e3
& e1 != e2
& e1 != e3
& e2 != e3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f2,axiom,
( op(e0,e0) = e0
& op(e0,e1) = e1
& op(e0,e2) = e2
& op(e0,e3) = e3
& op(e1,e0) = e1
& op(e1,e1) = e3
& op(e1,e2) = e0
& op(e1,e3) = e2
& op(e2,e0) = e2
& op(e2,e1) = e0
& op(e2,e2) = e3
& op(e2,e3) = e1
& op(e3,e0) = e3
& op(e3,e1) = e2
& op(e3,e2) = e1
& op(e3,e3) = e0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f3,axiom,
unit = e0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f4,conjecture,
( ~ ( ( op(e0,e0) = e0
& op(e1,e1) = e0
& op(e2,e2) = e0
& op(e3,e3) = e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e1
& op(e2,e2) = e1
& op(e3,e3) = e1 )
| ( op(e0,e0) = e2
& op(e1,e1) = e2
& op(e2,e2) = e2
& op(e3,e3) = e2 )
| ( op(e0,e0) = e3
& op(e1,e1) = e3
& op(e2,e2) = e3
& op(e3,e3) = e3 ) )
& ( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3 )
& ( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3 )
& ( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3 )
& ( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3 )
& ( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3 )
& ( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3 )
& ( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3 )
& ( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3 )
& ( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3 )
& ( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3 )
& ( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3 )
& ( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3 )
& ( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3 )
& ( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3 )
& ( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3 )
& ( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3 )
& 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
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3 )
& ( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0 )
& ( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0 )
& ( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1 )
& ( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1 )
& ( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2 )
& ( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2 )
& ( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3 )
& ( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0 )
& ( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f5,negated_conjecture,
~ ( ~ ( ( op(e0,e0) = e0
& op(e1,e1) = e0
& op(e2,e2) = e0
& op(e3,e3) = e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e1
& op(e2,e2) = e1
& op(e3,e3) = e1 )
| ( op(e0,e0) = e2
& op(e1,e1) = e2
& op(e2,e2) = e2
& op(e3,e3) = e2 )
| ( op(e0,e0) = e3
& op(e1,e1) = e3
& op(e2,e2) = e3
& op(e3,e3) = e3 ) )
& ( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3 )
& ( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3 )
& ( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3 )
& ( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3 )
& ( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3 )
& ( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3 )
& ( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3 )
& ( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3 )
& ( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3 )
& ( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3 )
& ( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3 )
& ( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3 )
& ( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3 )
& ( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3 )
& ( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3 )
& ( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3 )
& 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
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3 )
& ( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0 )
& ( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0 )
& ( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1 )
& ( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1 )
& ( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2 )
& ( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2 )
& ( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3 )
& ( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0 )
& ( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3 ) ),
inference(negated_conjecture,[status(cth)],[f4]) ).
fof(f6,plain,
( ( op(e0,e0) = e0
& op(e1,e1) = e0
& op(e2,e2) = e0
& op(e3,e3) = e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e1
& op(e2,e2) = e1
& op(e3,e3) = e1 )
| ( op(e0,e0) = e2
& op(e1,e1) = e2
& op(e2,e2) = e2
& op(e3,e3) = e2 )
| ( op(e0,e0) = e3
& op(e1,e1) = e3
& op(e2,e2) = e3
& op(e3,e3) = e3 )
| ( e0 != op(e0,e0)
& e1 != op(e0,e0)
& e2 != op(e0,e0)
& e3 != op(e0,e0) )
| ( e0 != op(e0,e1)
& e1 != op(e0,e1)
& e2 != op(e0,e1)
& e3 != op(e0,e1) )
| ( e0 != op(e0,e2)
& e1 != op(e0,e2)
& e2 != op(e0,e2)
& e3 != op(e0,e2) )
| ( e0 != op(e0,e3)
& e1 != op(e0,e3)
& e2 != op(e0,e3)
& e3 != op(e0,e3) )
| ( e0 != op(e1,e0)
& e1 != op(e1,e0)
& e2 != op(e1,e0)
& e3 != op(e1,e0) )
| ( e0 != op(e1,e1)
& e1 != op(e1,e1)
& e2 != op(e1,e1)
& e3 != op(e1,e1) )
| ( e0 != op(e1,e2)
& e1 != op(e1,e2)
& e2 != op(e1,e2)
& e3 != op(e1,e2) )
| ( e0 != op(e1,e3)
& e1 != op(e1,e3)
& e2 != op(e1,e3)
& e3 != op(e1,e3) )
| ( e0 != op(e2,e0)
& e1 != op(e2,e0)
& e2 != op(e2,e0)
& e3 != op(e2,e0) )
| ( e0 != op(e2,e1)
& e1 != op(e2,e1)
& e2 != op(e2,e1)
& e3 != op(e2,e1) )
| ( e0 != op(e2,e2)
& e1 != op(e2,e2)
& e2 != op(e2,e2)
& e3 != op(e2,e2) )
| ( e0 != op(e2,e3)
& e1 != op(e2,e3)
& e2 != op(e2,e3)
& e3 != op(e2,e3) )
| ( e0 != op(e3,e0)
& e1 != op(e3,e0)
& e2 != op(e3,e0)
& e3 != op(e3,e0) )
| ( e0 != op(e3,e1)
& e1 != op(e3,e1)
& e2 != op(e3,e1)
& e3 != op(e3,e1) )
| ( e0 != op(e3,e2)
& e1 != op(e3,e2)
& e2 != op(e3,e2)
& e3 != op(e3,e2) )
| ( e0 != op(e3,e3)
& e1 != op(e3,e3)
& e2 != op(e3,e3)
& e3 != op(e3,e3) )
| e0 != op(unit,e0)
| e0 != op(e0,unit)
| e1 != op(unit,e1)
| e1 != op(e1,unit)
| e2 != op(unit,e2)
| e2 != op(e2,unit)
| e3 != op(unit,e3)
| e3 != op(e3,unit)
| ( e0 != unit
& e1 != unit
& e2 != unit
& e3 != unit )
| ( e0 != op(e0,e0)
& e0 != op(e0,e1)
& e0 != op(e0,e2)
& e0 != op(e0,e3) )
| ( e0 != op(e0,e0)
& e0 != op(e1,e0)
& e0 != op(e2,e0)
& e0 != op(e3,e0) )
| ( e1 != op(e0,e0)
& e1 != op(e0,e1)
& e1 != op(e0,e2)
& e1 != op(e0,e3) )
| ( e1 != op(e0,e0)
& e1 != op(e1,e0)
& e1 != op(e2,e0)
& e1 != op(e3,e0) )
| ( e2 != op(e0,e0)
& e2 != op(e0,e1)
& e2 != op(e0,e2)
& e2 != op(e0,e3) )
| ( e2 != op(e0,e0)
& e2 != op(e1,e0)
& e2 != op(e2,e0)
& e2 != op(e3,e0) )
| ( e3 != op(e0,e0)
& e3 != op(e0,e1)
& e3 != op(e0,e2)
& e3 != op(e0,e3) )
| ( e3 != op(e0,e0)
& e3 != op(e1,e0)
& e3 != op(e2,e0)
& e3 != op(e3,e0) )
| ( e0 != op(e1,e0)
& e0 != op(e1,e1)
& e0 != op(e1,e2)
& e0 != op(e1,e3) )
| ( e0 != op(e0,e1)
& e0 != op(e1,e1)
& e0 != op(e2,e1)
& e0 != op(e3,e1) )
| ( e1 != op(e1,e0)
& e1 != op(e1,e1)
& e1 != op(e1,e2)
& e1 != op(e1,e3) )
| ( e1 != op(e0,e1)
& e1 != op(e1,e1)
& e1 != op(e2,e1)
& e1 != op(e3,e1) )
| ( e2 != op(e1,e0)
& e2 != op(e1,e1)
& e2 != op(e1,e2)
& e2 != op(e1,e3) )
| ( e2 != op(e0,e1)
& e2 != op(e1,e1)
& e2 != op(e2,e1)
& e2 != op(e3,e1) )
| ( e3 != op(e1,e0)
& e3 != op(e1,e1)
& e3 != op(e1,e2)
& e3 != op(e1,e3) )
| ( e3 != op(e0,e1)
& e3 != op(e1,e1)
& e3 != op(e2,e1)
& e3 != op(e3,e1) )
| ( e0 != op(e2,e0)
& e0 != op(e2,e1)
& e0 != op(e2,e2)
& e0 != op(e2,e3) )
| ( e0 != op(e0,e2)
& e0 != op(e1,e2)
& e0 != op(e2,e2)
& e0 != op(e3,e2) )
| ( e1 != op(e2,e0)
& e1 != op(e2,e1)
& e1 != op(e2,e2)
& e1 != op(e2,e3) )
| ( e1 != op(e0,e2)
& e1 != op(e1,e2)
& e1 != op(e2,e2)
& e1 != op(e3,e2) )
| ( e2 != op(e2,e0)
& e2 != op(e2,e1)
& e2 != op(e2,e2)
& e2 != op(e2,e3) )
| ( e2 != op(e0,e2)
& e2 != op(e1,e2)
& e2 != op(e2,e2)
& e2 != op(e3,e2) )
| ( e3 != op(e2,e0)
& e3 != op(e2,e1)
& e3 != op(e2,e2)
& e3 != op(e2,e3) )
| ( e3 != op(e0,e2)
& e3 != op(e1,e2)
& e3 != op(e2,e2)
& e3 != op(e3,e2) )
| ( e0 != op(e3,e0)
& e0 != op(e3,e1)
& e0 != op(e3,e2)
& e0 != op(e3,e3) )
| ( e0 != op(e0,e3)
& e0 != op(e1,e3)
& e0 != op(e2,e3)
& e0 != op(e3,e3) )
| ( e1 != op(e3,e0)
& e1 != op(e3,e1)
& e1 != op(e3,e2)
& e1 != op(e3,e3) )
| ( e1 != op(e0,e3)
& e1 != op(e1,e3)
& e1 != op(e2,e3)
& e1 != op(e3,e3) )
| ( e2 != op(e3,e0)
& e2 != op(e3,e1)
& e2 != op(e3,e2)
& e2 != op(e3,e3) )
| ( e2 != op(e0,e3)
& e2 != op(e1,e3)
& e2 != op(e2,e3)
& e2 != op(e3,e3) )
| ( e3 != op(e3,e0)
& e3 != op(e3,e1)
& e3 != op(e3,e2)
& e3 != op(e3,e3) )
| ( e3 != op(e0,e3)
& e3 != op(e1,e3)
& e3 != op(e2,e3)
& e3 != op(e3,e3) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f7,plain,
( ( op(e0,e0) = e0
& op(e1,e1) = e0
& op(e2,e2) = e0
& op(e3,e3) = e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e1
& op(e2,e2) = e1
& op(e3,e3) = e1 )
| ( op(e0,e0) = e2
& op(e1,e1) = e2
& op(e2,e2) = e2
& op(e3,e3) = e2 )
| ( op(e0,e0) = e3
& op(e1,e1) = e3
& op(e2,e2) = e3
& op(e3,e3) = e3 )
| ( e0 != op(e0,e0)
& e1 != op(e0,e0)
& e2 != op(e0,e0)
& e3 != op(e0,e0) )
| ( e0 != op(e0,e1)
& e1 != op(e0,e1)
& e2 != op(e0,e1)
& e3 != op(e0,e1) )
| ( e0 != op(e0,e2)
& e1 != op(e0,e2)
& e2 != op(e0,e2)
& e3 != op(e0,e2) )
| ( e0 != op(e0,e3)
& e1 != op(e0,e3)
& e2 != op(e0,e3)
& e3 != op(e0,e3) )
| ( e0 != op(e1,e0)
& e1 != op(e1,e0)
& e2 != op(e1,e0)
& e3 != op(e1,e0) )
| ( e0 != op(e1,e1)
& e1 != op(e1,e1)
& e2 != op(e1,e1)
& e3 != op(e1,e1) )
| ( e0 != op(e1,e2)
& e1 != op(e1,e2)
& e2 != op(e1,e2)
& e3 != op(e1,e2) )
| ( e0 != op(e1,e3)
& e1 != op(e1,e3)
& e2 != op(e1,e3)
& e3 != op(e1,e3) )
| ( e0 != op(e2,e0)
& e1 != op(e2,e0)
& e2 != op(e2,e0)
& e3 != op(e2,e0) )
| ( e0 != op(e2,e1)
& e1 != op(e2,e1)
& e2 != op(e2,e1)
& e3 != op(e2,e1) )
| ( e0 != op(e2,e2)
& e1 != op(e2,e2)
& e2 != op(e2,e2)
& e3 != op(e2,e2) )
| ( e0 != op(e2,e3)
& e1 != op(e2,e3)
& e2 != op(e2,e3)
& e3 != op(e2,e3) )
| ( e0 != op(e3,e0)
& e1 != op(e3,e0)
& e2 != op(e3,e0)
& e3 != op(e3,e0) )
| ( e0 != op(e3,e1)
& e1 != op(e3,e1)
& e2 != op(e3,e1)
& e3 != op(e3,e1) )
| ( e0 != op(e3,e2)
& e1 != op(e3,e2)
& e2 != op(e3,e2)
& e3 != op(e3,e2) )
| ( e0 != op(e3,e3)
& e1 != op(e3,e3)
& e2 != op(e3,e3)
& e3 != op(e3,e3) )
| e0 != op(unit,e0)
| e0 != op(e0,unit)
| e1 != op(unit,e1)
| e1 != op(e1,unit)
| e2 != op(unit,e2)
| e2 != op(e2,unit)
| e3 != op(unit,e3)
| e3 != op(e3,unit)
| ( e0 != unit
& e1 != unit
& e2 != unit
& e3 != unit )
| ( e0 != op(e0,e0)
& e0 != op(e0,e1)
& e0 != op(e0,e2)
& e0 != op(e0,e3) )
| ( e0 != op(e0,e0)
& e0 != op(e1,e0)
& e0 != op(e2,e0)
& e0 != op(e3,e0) )
| ( e1 != op(e0,e0)
& e1 != op(e0,e1)
& e1 != op(e0,e2)
& e1 != op(e0,e3) )
| ( e1 != op(e0,e0)
& e1 != op(e1,e0)
& e1 != op(e2,e0)
& e1 != op(e3,e0) )
| ( e2 != op(e0,e0)
& e2 != op(e0,e1)
& e2 != op(e0,e2)
& e2 != op(e0,e3) )
| ( e2 != op(e0,e0)
& e2 != op(e1,e0)
& e2 != op(e2,e0)
& e2 != op(e3,e0) )
| ( e3 != op(e0,e0)
& e3 != op(e0,e1)
& e3 != op(e0,e2)
& e3 != op(e0,e3) )
| ( e3 != op(e0,e0)
& e3 != op(e1,e0)
& e3 != op(e2,e0)
& e3 != op(e3,e0) )
| ( e0 != op(e1,e0)
& e0 != op(e1,e1)
& e0 != op(e1,e2)
& e0 != op(e1,e3) )
| ( e0 != op(e0,e1)
& e0 != op(e1,e1)
& e0 != op(e2,e1)
& e0 != op(e3,e1) )
| ( e1 != op(e1,e0)
& e1 != op(e1,e1)
& e1 != op(e1,e2)
& e1 != op(e1,e3) )
| ( e1 != op(e0,e1)
& e1 != op(e1,e1)
& e1 != op(e2,e1)
& e1 != op(e3,e1) )
| ( e2 != op(e1,e0)
& e2 != op(e1,e1)
& e2 != op(e1,e2)
& e2 != op(e1,e3) )
| ( e2 != op(e0,e1)
& e2 != op(e1,e1)
& e2 != op(e2,e1)
& e2 != op(e3,e1) )
| ( e3 != op(e1,e0)
& e3 != op(e1,e1)
& e3 != op(e1,e2)
& e3 != op(e1,e3) )
| ( e3 != op(e0,e1)
& e3 != op(e1,e1)
& e3 != op(e2,e1)
& e3 != op(e3,e1) )
| ( e0 != op(e2,e0)
& e0 != op(e2,e1)
& e0 != op(e2,e2)
& e0 != op(e2,e3) )
| ( e0 != op(e0,e2)
& e0 != op(e1,e2)
& e0 != op(e2,e2)
& e0 != op(e3,e2) )
| ( e1 != op(e2,e0)
& e1 != op(e2,e1)
& e1 != op(e2,e2)
& e1 != op(e2,e3) )
| ( e1 != op(e0,e2)
& e1 != op(e1,e2)
& e1 != op(e2,e2)
& e1 != op(e3,e2) )
| ( e2 != op(e2,e0)
& e2 != op(e2,e1)
& e2 != op(e2,e2)
& e2 != op(e2,e3) )
| ( e2 != op(e0,e2)
& e2 != op(e1,e2)
& e2 != op(e2,e2)
& e2 != op(e3,e2) )
| ( e3 != op(e2,e0)
& e3 != op(e2,e1)
& e3 != op(e2,e2)
& e3 != op(e2,e3) )
| ( e3 != op(e0,e2)
& e3 != op(e1,e2)
& e3 != op(e2,e2)
& e3 != op(e3,e2) )
| ( e0 != op(e3,e0)
& e0 != op(e3,e1)
& e0 != op(e3,e2)
& e0 != op(e3,e3) )
| ( e0 != op(e0,e3)
& e0 != op(e1,e3)
& e0 != op(e2,e3)
& e0 != op(e3,e3) )
| ( e1 != op(e3,e0)
& e1 != op(e3,e1)
& e1 != op(e3,e2)
& e1 != op(e3,e3) )
| ( e1 != op(e0,e3)
& e1 != op(e1,e3)
& e1 != op(e2,e3)
& e1 != op(e3,e3) )
| ( e2 != op(e3,e0)
& e2 != op(e3,e1)
& e2 != op(e3,e2)
& e2 != op(e3,e3) )
| ( e2 != op(e0,e3)
& e2 != op(e1,e3)
& e2 != op(e2,e3)
& e2 != op(e3,e3) )
| ( e3 != op(e3,e0)
& e3 != op(e3,e1)
& e3 != op(e3,e2)
& e3 != op(e3,e3) )
| ( e3 != op(e0,e3)
& e3 != op(e1,e3)
& e3 != op(e2,e3)
& e3 != op(e3,e3) ) ),
inference(flattening,[],[f6]) ).
fof(f8,definition,
( ( e3 != op(e0,e3)
& e3 != op(e1,e3)
& e3 != op(e2,e3)
& e3 != op(e3,e3) )
| ~ sP0 ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f9,definition,
( ( e3 != op(e3,e0)
& e3 != op(e3,e1)
& e3 != op(e3,e2)
& e3 != op(e3,e3) )
| ~ sP1 ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f10,definition,
( ( e2 != op(e0,e3)
& e2 != op(e1,e3)
& e2 != op(e2,e3)
& e2 != op(e3,e3) )
| ~ sP2 ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f11,definition,
( ( e2 != op(e3,e0)
& e2 != op(e3,e1)
& e2 != op(e3,e2)
& e2 != op(e3,e3) )
| ~ sP3 ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f12,definition,
( ( e1 != op(e0,e3)
& e1 != op(e1,e3)
& e1 != op(e2,e3)
& e1 != op(e3,e3) )
| ~ sP4 ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f13,definition,
( ( e1 != op(e3,e0)
& e1 != op(e3,e1)
& e1 != op(e3,e2)
& e1 != op(e3,e3) )
| ~ sP5 ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f14,definition,
( ( e0 != op(e0,e3)
& e0 != op(e1,e3)
& e0 != op(e2,e3)
& e0 != op(e3,e3) )
| ~ sP6 ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f15,definition,
( ( e0 != op(e3,e0)
& e0 != op(e3,e1)
& e0 != op(e3,e2)
& e0 != op(e3,e3) )
| ~ sP7 ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f16,definition,
( ( e3 != op(e0,e2)
& e3 != op(e1,e2)
& e3 != op(e2,e2)
& e3 != op(e3,e2) )
| ~ sP8 ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f17,definition,
( ( e3 != op(e2,e0)
& e3 != op(e2,e1)
& e3 != op(e2,e2)
& e3 != op(e2,e3) )
| ~ sP9 ),
introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).
fof(f18,definition,
( ( e2 != op(e0,e2)
& e2 != op(e1,e2)
& e2 != op(e2,e2)
& e2 != op(e3,e2) )
| ~ sP10 ),
introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).
fof(f19,definition,
( ( e2 != op(e2,e0)
& e2 != op(e2,e1)
& e2 != op(e2,e2)
& e2 != op(e2,e3) )
| ~ sP11 ),
introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).
fof(f20,definition,
( ( e1 != op(e0,e2)
& e1 != op(e1,e2)
& e1 != op(e2,e2)
& e1 != op(e3,e2) )
| ~ sP12 ),
introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).
fof(f21,definition,
( ( e1 != op(e2,e0)
& e1 != op(e2,e1)
& e1 != op(e2,e2)
& e1 != op(e2,e3) )
| ~ sP13 ),
introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).
fof(f22,definition,
( ( e0 != op(e0,e2)
& e0 != op(e1,e2)
& e0 != op(e2,e2)
& e0 != op(e3,e2) )
| ~ sP14 ),
introduced(definition,[new_symbols(definition,[sP14])],[predicate_definition_introduction]) ).
fof(f23,definition,
( ( e0 != op(e2,e0)
& e0 != op(e2,e1)
& e0 != op(e2,e2)
& e0 != op(e2,e3) )
| ~ sP15 ),
introduced(definition,[new_symbols(definition,[sP15])],[predicate_definition_introduction]) ).
fof(f24,definition,
( ( e3 != op(e0,e1)
& e3 != op(e1,e1)
& e3 != op(e2,e1)
& e3 != op(e3,e1) )
| ~ sP16 ),
introduced(definition,[new_symbols(definition,[sP16])],[predicate_definition_introduction]) ).
fof(f25,definition,
( ( e3 != op(e1,e0)
& e3 != op(e1,e1)
& e3 != op(e1,e2)
& e3 != op(e1,e3) )
| ~ sP17 ),
introduced(definition,[new_symbols(definition,[sP17])],[predicate_definition_introduction]) ).
fof(f26,definition,
( ( e2 != op(e0,e1)
& e2 != op(e1,e1)
& e2 != op(e2,e1)
& e2 != op(e3,e1) )
| ~ sP18 ),
introduced(definition,[new_symbols(definition,[sP18])],[predicate_definition_introduction]) ).
fof(f27,definition,
( ( e2 != op(e1,e0)
& e2 != op(e1,e1)
& e2 != op(e1,e2)
& e2 != op(e1,e3) )
| ~ sP19 ),
introduced(definition,[new_symbols(definition,[sP19])],[predicate_definition_introduction]) ).
fof(f28,definition,
( ( e1 != op(e0,e1)
& e1 != op(e1,e1)
& e1 != op(e2,e1)
& e1 != op(e3,e1) )
| ~ sP20 ),
introduced(definition,[new_symbols(definition,[sP20])],[predicate_definition_introduction]) ).
fof(f29,definition,
( ( e1 != op(e1,e0)
& e1 != op(e1,e1)
& e1 != op(e1,e2)
& e1 != op(e1,e3) )
| ~ sP21 ),
introduced(definition,[new_symbols(definition,[sP21])],[predicate_definition_introduction]) ).
fof(f30,definition,
( ( e0 != op(e0,e1)
& e0 != op(e1,e1)
& e0 != op(e2,e1)
& e0 != op(e3,e1) )
| ~ sP22 ),
introduced(definition,[new_symbols(definition,[sP22])],[predicate_definition_introduction]) ).
fof(f31,definition,
( ( e0 != op(e1,e0)
& e0 != op(e1,e1)
& e0 != op(e1,e2)
& e0 != op(e1,e3) )
| ~ sP23 ),
introduced(definition,[new_symbols(definition,[sP23])],[predicate_definition_introduction]) ).
fof(f32,definition,
( ( e3 != op(e0,e0)
& e3 != op(e1,e0)
& e3 != op(e2,e0)
& e3 != op(e3,e0) )
| ~ sP24 ),
introduced(definition,[new_symbols(definition,[sP24])],[predicate_definition_introduction]) ).
fof(f33,definition,
( ( e3 != op(e0,e0)
& e3 != op(e0,e1)
& e3 != op(e0,e2)
& e3 != op(e0,e3) )
| ~ sP25 ),
introduced(definition,[new_symbols(definition,[sP25])],[predicate_definition_introduction]) ).
fof(f34,definition,
( ( e2 != op(e0,e0)
& e2 != op(e1,e0)
& e2 != op(e2,e0)
& e2 != op(e3,e0) )
| ~ sP26 ),
introduced(definition,[new_symbols(definition,[sP26])],[predicate_definition_introduction]) ).
fof(f35,definition,
( ( e2 != op(e0,e0)
& e2 != op(e0,e1)
& e2 != op(e0,e2)
& e2 != op(e0,e3) )
| ~ sP27 ),
introduced(definition,[new_symbols(definition,[sP27])],[predicate_definition_introduction]) ).
fof(f36,definition,
( ( e1 != op(e0,e0)
& e1 != op(e1,e0)
& e1 != op(e2,e0)
& e1 != op(e3,e0) )
| ~ sP28 ),
introduced(definition,[new_symbols(definition,[sP28])],[predicate_definition_introduction]) ).
fof(f37,definition,
( ( e1 != op(e0,e0)
& e1 != op(e0,e1)
& e1 != op(e0,e2)
& e1 != op(e0,e3) )
| ~ sP29 ),
introduced(definition,[new_symbols(definition,[sP29])],[predicate_definition_introduction]) ).
fof(f38,definition,
( ( e0 != op(e0,e0)
& e0 != op(e1,e0)
& e0 != op(e2,e0)
& e0 != op(e3,e0) )
| ~ sP30 ),
introduced(definition,[new_symbols(definition,[sP30])],[predicate_definition_introduction]) ).
fof(f39,definition,
( ( e0 != op(e0,e0)
& e0 != op(e0,e1)
& e0 != op(e0,e2)
& e0 != op(e0,e3) )
| ~ sP31 ),
introduced(definition,[new_symbols(definition,[sP31])],[predicate_definition_introduction]) ).
fof(f40,definition,
( ( e0 != unit
& e1 != unit
& e2 != unit
& e3 != unit )
| ~ sP32 ),
introduced(definition,[new_symbols(definition,[sP32])],[predicate_definition_introduction]) ).
fof(f41,definition,
( ( e0 != op(e3,e3)
& e1 != op(e3,e3)
& e2 != op(e3,e3)
& e3 != op(e3,e3) )
| ~ sP33 ),
introduced(definition,[new_symbols(definition,[sP33])],[predicate_definition_introduction]) ).
fof(f42,definition,
( ( e0 != op(e3,e2)
& e1 != op(e3,e2)
& e2 != op(e3,e2)
& e3 != op(e3,e2) )
| ~ sP34 ),
introduced(definition,[new_symbols(definition,[sP34])],[predicate_definition_introduction]) ).
fof(f43,definition,
( ( e0 != op(e3,e1)
& e1 != op(e3,e1)
& e2 != op(e3,e1)
& e3 != op(e3,e1) )
| ~ sP35 ),
introduced(definition,[new_symbols(definition,[sP35])],[predicate_definition_introduction]) ).
fof(f44,definition,
( ( e0 != op(e3,e0)
& e1 != op(e3,e0)
& e2 != op(e3,e0)
& e3 != op(e3,e0) )
| ~ sP36 ),
introduced(definition,[new_symbols(definition,[sP36])],[predicate_definition_introduction]) ).
fof(f45,definition,
( ( e0 != op(e2,e3)
& e1 != op(e2,e3)
& e2 != op(e2,e3)
& e3 != op(e2,e3) )
| ~ sP37 ),
introduced(definition,[new_symbols(definition,[sP37])],[predicate_definition_introduction]) ).
fof(f46,definition,
( ( e0 != op(e2,e2)
& e1 != op(e2,e2)
& e2 != op(e2,e2)
& e3 != op(e2,e2) )
| ~ sP38 ),
introduced(definition,[new_symbols(definition,[sP38])],[predicate_definition_introduction]) ).
fof(f47,definition,
( ( e0 != op(e2,e1)
& e1 != op(e2,e1)
& e2 != op(e2,e1)
& e3 != op(e2,e1) )
| ~ sP39 ),
introduced(definition,[new_symbols(definition,[sP39])],[predicate_definition_introduction]) ).
fof(f48,definition,
( ( e0 != op(e2,e0)
& e1 != op(e2,e0)
& e2 != op(e2,e0)
& e3 != op(e2,e0) )
| ~ sP40 ),
introduced(definition,[new_symbols(definition,[sP40])],[predicate_definition_introduction]) ).
fof(f49,definition,
( ( e0 != op(e1,e3)
& e1 != op(e1,e3)
& e2 != op(e1,e3)
& e3 != op(e1,e3) )
| ~ sP41 ),
introduced(definition,[new_symbols(definition,[sP41])],[predicate_definition_introduction]) ).
fof(f50,definition,
( ( e0 != op(e1,e2)
& e1 != op(e1,e2)
& e2 != op(e1,e2)
& e3 != op(e1,e2) )
| ~ sP42 ),
introduced(definition,[new_symbols(definition,[sP42])],[predicate_definition_introduction]) ).
fof(f51,definition,
( ( e0 != op(e1,e1)
& e1 != op(e1,e1)
& e2 != op(e1,e1)
& e3 != op(e1,e1) )
| ~ sP43 ),
introduced(definition,[new_symbols(definition,[sP43])],[predicate_definition_introduction]) ).
fof(f52,definition,
( ( e0 != op(e1,e0)
& e1 != op(e1,e0)
& e2 != op(e1,e0)
& e3 != op(e1,e0) )
| ~ sP44 ),
introduced(definition,[new_symbols(definition,[sP44])],[predicate_definition_introduction]) ).
fof(f53,definition,
( ( e0 != op(e0,e3)
& e1 != op(e0,e3)
& e2 != op(e0,e3)
& e3 != op(e0,e3) )
| ~ sP45 ),
introduced(definition,[new_symbols(definition,[sP45])],[predicate_definition_introduction]) ).
fof(f54,definition,
( ( e0 != op(e0,e2)
& e1 != op(e0,e2)
& e2 != op(e0,e2)
& e3 != op(e0,e2) )
| ~ sP46 ),
introduced(definition,[new_symbols(definition,[sP46])],[predicate_definition_introduction]) ).
fof(f55,definition,
( ( e0 != op(e0,e1)
& e1 != op(e0,e1)
& e2 != op(e0,e1)
& e3 != op(e0,e1) )
| ~ sP47 ),
introduced(definition,[new_symbols(definition,[sP47])],[predicate_definition_introduction]) ).
fof(f56,definition,
( ( e0 != op(e0,e0)
& e1 != op(e0,e0)
& e2 != op(e0,e0)
& e3 != op(e0,e0) )
| ~ sP48 ),
introduced(definition,[new_symbols(definition,[sP48])],[predicate_definition_introduction]) ).
fof(f57,definition,
( ( op(e0,e0) = e3
& op(e1,e1) = e3
& op(e2,e2) = e3
& op(e3,e3) = e3 )
| ~ sP49 ),
introduced(definition,[new_symbols(definition,[sP49])],[predicate_definition_introduction]) ).
fof(f58,definition,
( ( op(e0,e0) = e2
& op(e1,e1) = e2
& op(e2,e2) = e2
& op(e3,e3) = e2 )
| ~ sP50 ),
introduced(definition,[new_symbols(definition,[sP50])],[predicate_definition_introduction]) ).
fof(f59,definition,
( ( op(e0,e0) = e1
& op(e1,e1) = e1
& op(e2,e2) = e1
& op(e3,e3) = e1 )
| ~ sP51 ),
introduced(definition,[new_symbols(definition,[sP51])],[predicate_definition_introduction]) ).
fof(f60,plain,
( ( op(e0,e0) = e0
& op(e1,e1) = e0
& op(e2,e2) = e0
& op(e3,e3) = e0 )
| sP51
| sP50
| sP49
| sP48
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| e0 != op(unit,e0)
| e0 != op(e0,unit)
| e1 != op(unit,e1)
| e1 != op(e1,unit)
| e2 != op(unit,e2)
| e2 != op(e2,unit)
| e3 != op(unit,e3)
| e3 != op(e3,unit)
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(definition_folding,[],[f7,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9,f8]) ).
fof(f61,plain,
( ( op(e0,e0) = e1
& op(e1,e1) = e1
& op(e2,e2) = e1
& op(e3,e3) = e1 )
| ~ sP51 ),
inference(nnf_transformation,[],[f59]) ).
fof(f62,plain,
( ( op(e0,e0) = e2
& op(e1,e1) = e2
& op(e2,e2) = e2
& op(e3,e3) = e2 )
| ~ sP50 ),
inference(nnf_transformation,[],[f58]) ).
fof(f63,plain,
( ( op(e0,e0) = e3
& op(e1,e1) = e3
& op(e2,e2) = e3
& op(e3,e3) = e3 )
| ~ sP49 ),
inference(nnf_transformation,[],[f57]) ).
fof(f64,plain,
( ( e0 != op(e0,e0)
& e1 != op(e0,e0)
& e2 != op(e0,e0)
& e3 != op(e0,e0) )
| ~ sP48 ),
inference(nnf_transformation,[],[f56]) ).
fof(f65,plain,
( ( e0 != op(e0,e1)
& e1 != op(e0,e1)
& e2 != op(e0,e1)
& e3 != op(e0,e1) )
| ~ sP47 ),
inference(nnf_transformation,[],[f55]) ).
fof(f66,plain,
( ( e0 != op(e0,e2)
& e1 != op(e0,e2)
& e2 != op(e0,e2)
& e3 != op(e0,e2) )
| ~ sP46 ),
inference(nnf_transformation,[],[f54]) ).
fof(f67,plain,
( ( e0 != op(e0,e3)
& e1 != op(e0,e3)
& e2 != op(e0,e3)
& e3 != op(e0,e3) )
| ~ sP45 ),
inference(nnf_transformation,[],[f53]) ).
fof(f68,plain,
( ( e0 != op(e1,e0)
& e1 != op(e1,e0)
& e2 != op(e1,e0)
& e3 != op(e1,e0) )
| ~ sP44 ),
inference(nnf_transformation,[],[f52]) ).
fof(f69,plain,
( ( e0 != op(e1,e1)
& e1 != op(e1,e1)
& e2 != op(e1,e1)
& e3 != op(e1,e1) )
| ~ sP43 ),
inference(nnf_transformation,[],[f51]) ).
fof(f70,plain,
( ( e0 != op(e1,e2)
& e1 != op(e1,e2)
& e2 != op(e1,e2)
& e3 != op(e1,e2) )
| ~ sP42 ),
inference(nnf_transformation,[],[f50]) ).
fof(f71,plain,
( ( e0 != op(e1,e3)
& e1 != op(e1,e3)
& e2 != op(e1,e3)
& e3 != op(e1,e3) )
| ~ sP41 ),
inference(nnf_transformation,[],[f49]) ).
fof(f72,plain,
( ( e0 != op(e2,e0)
& e1 != op(e2,e0)
& e2 != op(e2,e0)
& e3 != op(e2,e0) )
| ~ sP40 ),
inference(nnf_transformation,[],[f48]) ).
fof(f73,plain,
( ( e0 != op(e2,e1)
& e1 != op(e2,e1)
& e2 != op(e2,e1)
& e3 != op(e2,e1) )
| ~ sP39 ),
inference(nnf_transformation,[],[f47]) ).
fof(f74,plain,
( ( e0 != op(e2,e2)
& e1 != op(e2,e2)
& e2 != op(e2,e2)
& e3 != op(e2,e2) )
| ~ sP38 ),
inference(nnf_transformation,[],[f46]) ).
fof(f75,plain,
( ( e0 != op(e2,e3)
& e1 != op(e2,e3)
& e2 != op(e2,e3)
& e3 != op(e2,e3) )
| ~ sP37 ),
inference(nnf_transformation,[],[f45]) ).
fof(f76,plain,
( ( e0 != op(e3,e0)
& e1 != op(e3,e0)
& e2 != op(e3,e0)
& e3 != op(e3,e0) )
| ~ sP36 ),
inference(nnf_transformation,[],[f44]) ).
fof(f77,plain,
( ( e0 != op(e3,e1)
& e1 != op(e3,e1)
& e2 != op(e3,e1)
& e3 != op(e3,e1) )
| ~ sP35 ),
inference(nnf_transformation,[],[f43]) ).
fof(f78,plain,
( ( e0 != op(e3,e2)
& e1 != op(e3,e2)
& e2 != op(e3,e2)
& e3 != op(e3,e2) )
| ~ sP34 ),
inference(nnf_transformation,[],[f42]) ).
fof(f79,plain,
( ( e0 != op(e3,e3)
& e1 != op(e3,e3)
& e2 != op(e3,e3)
& e3 != op(e3,e3) )
| ~ sP33 ),
inference(nnf_transformation,[],[f41]) ).
fof(f80,plain,
( ( e0 != unit
& e1 != unit
& e2 != unit
& e3 != unit )
| ~ sP32 ),
inference(nnf_transformation,[],[f40]) ).
fof(f81,plain,
( ( e0 != op(e0,e0)
& e0 != op(e0,e1)
& e0 != op(e0,e2)
& e0 != op(e0,e3) )
| ~ sP31 ),
inference(nnf_transformation,[],[f39]) ).
fof(f82,plain,
( ( e0 != op(e0,e0)
& e0 != op(e1,e0)
& e0 != op(e2,e0)
& e0 != op(e3,e0) )
| ~ sP30 ),
inference(nnf_transformation,[],[f38]) ).
fof(f83,plain,
( ( e1 != op(e0,e0)
& e1 != op(e0,e1)
& e1 != op(e0,e2)
& e1 != op(e0,e3) )
| ~ sP29 ),
inference(nnf_transformation,[],[f37]) ).
fof(f84,plain,
( ( e1 != op(e0,e0)
& e1 != op(e1,e0)
& e1 != op(e2,e0)
& e1 != op(e3,e0) )
| ~ sP28 ),
inference(nnf_transformation,[],[f36]) ).
fof(f85,plain,
( ( e2 != op(e0,e0)
& e2 != op(e0,e1)
& e2 != op(e0,e2)
& e2 != op(e0,e3) )
| ~ sP27 ),
inference(nnf_transformation,[],[f35]) ).
fof(f86,plain,
( ( e2 != op(e0,e0)
& e2 != op(e1,e0)
& e2 != op(e2,e0)
& e2 != op(e3,e0) )
| ~ sP26 ),
inference(nnf_transformation,[],[f34]) ).
fof(f87,plain,
( ( e3 != op(e0,e0)
& e3 != op(e0,e1)
& e3 != op(e0,e2)
& e3 != op(e0,e3) )
| ~ sP25 ),
inference(nnf_transformation,[],[f33]) ).
fof(f88,plain,
( ( e3 != op(e0,e0)
& e3 != op(e1,e0)
& e3 != op(e2,e0)
& e3 != op(e3,e0) )
| ~ sP24 ),
inference(nnf_transformation,[],[f32]) ).
fof(f89,plain,
( ( e0 != op(e1,e0)
& e0 != op(e1,e1)
& e0 != op(e1,e2)
& e0 != op(e1,e3) )
| ~ sP23 ),
inference(nnf_transformation,[],[f31]) ).
fof(f90,plain,
( ( e0 != op(e0,e1)
& e0 != op(e1,e1)
& e0 != op(e2,e1)
& e0 != op(e3,e1) )
| ~ sP22 ),
inference(nnf_transformation,[],[f30]) ).
fof(f91,plain,
( ( e1 != op(e1,e0)
& e1 != op(e1,e1)
& e1 != op(e1,e2)
& e1 != op(e1,e3) )
| ~ sP21 ),
inference(nnf_transformation,[],[f29]) ).
fof(f92,plain,
( ( e1 != op(e0,e1)
& e1 != op(e1,e1)
& e1 != op(e2,e1)
& e1 != op(e3,e1) )
| ~ sP20 ),
inference(nnf_transformation,[],[f28]) ).
fof(f93,plain,
( ( e2 != op(e1,e0)
& e2 != op(e1,e1)
& e2 != op(e1,e2)
& e2 != op(e1,e3) )
| ~ sP19 ),
inference(nnf_transformation,[],[f27]) ).
fof(f94,plain,
( ( e2 != op(e0,e1)
& e2 != op(e1,e1)
& e2 != op(e2,e1)
& e2 != op(e3,e1) )
| ~ sP18 ),
inference(nnf_transformation,[],[f26]) ).
fof(f95,plain,
( ( e3 != op(e1,e0)
& e3 != op(e1,e1)
& e3 != op(e1,e2)
& e3 != op(e1,e3) )
| ~ sP17 ),
inference(nnf_transformation,[],[f25]) ).
fof(f96,plain,
( ( e3 != op(e0,e1)
& e3 != op(e1,e1)
& e3 != op(e2,e1)
& e3 != op(e3,e1) )
| ~ sP16 ),
inference(nnf_transformation,[],[f24]) ).
fof(f97,plain,
( ( e0 != op(e2,e0)
& e0 != op(e2,e1)
& e0 != op(e2,e2)
& e0 != op(e2,e3) )
| ~ sP15 ),
inference(nnf_transformation,[],[f23]) ).
fof(f98,plain,
( ( e0 != op(e0,e2)
& e0 != op(e1,e2)
& e0 != op(e2,e2)
& e0 != op(e3,e2) )
| ~ sP14 ),
inference(nnf_transformation,[],[f22]) ).
fof(f99,plain,
( ( e1 != op(e2,e0)
& e1 != op(e2,e1)
& e1 != op(e2,e2)
& e1 != op(e2,e3) )
| ~ sP13 ),
inference(nnf_transformation,[],[f21]) ).
fof(f100,plain,
( ( e1 != op(e0,e2)
& e1 != op(e1,e2)
& e1 != op(e2,e2)
& e1 != op(e3,e2) )
| ~ sP12 ),
inference(nnf_transformation,[],[f20]) ).
fof(f101,plain,
( ( e2 != op(e2,e0)
& e2 != op(e2,e1)
& e2 != op(e2,e2)
& e2 != op(e2,e3) )
| ~ sP11 ),
inference(nnf_transformation,[],[f19]) ).
fof(f102,plain,
( ( e2 != op(e0,e2)
& e2 != op(e1,e2)
& e2 != op(e2,e2)
& e2 != op(e3,e2) )
| ~ sP10 ),
inference(nnf_transformation,[],[f18]) ).
fof(f103,plain,
( ( e3 != op(e2,e0)
& e3 != op(e2,e1)
& e3 != op(e2,e2)
& e3 != op(e2,e3) )
| ~ sP9 ),
inference(nnf_transformation,[],[f17]) ).
fof(f104,plain,
( ( e3 != op(e0,e2)
& e3 != op(e1,e2)
& e3 != op(e2,e2)
& e3 != op(e3,e2) )
| ~ sP8 ),
inference(nnf_transformation,[],[f16]) ).
fof(f105,plain,
( ( e0 != op(e3,e0)
& e0 != op(e3,e1)
& e0 != op(e3,e2)
& e0 != op(e3,e3) )
| ~ sP7 ),
inference(nnf_transformation,[],[f15]) ).
fof(f106,plain,
( ( e0 != op(e0,e3)
& e0 != op(e1,e3)
& e0 != op(e2,e3)
& e0 != op(e3,e3) )
| ~ sP6 ),
inference(nnf_transformation,[],[f14]) ).
fof(f107,plain,
( ( e1 != op(e3,e0)
& e1 != op(e3,e1)
& e1 != op(e3,e2)
& e1 != op(e3,e3) )
| ~ sP5 ),
inference(nnf_transformation,[],[f13]) ).
fof(f108,plain,
( ( e1 != op(e0,e3)
& e1 != op(e1,e3)
& e1 != op(e2,e3)
& e1 != op(e3,e3) )
| ~ sP4 ),
inference(nnf_transformation,[],[f12]) ).
fof(f109,plain,
( ( e2 != op(e3,e0)
& e2 != op(e3,e1)
& e2 != op(e3,e2)
& e2 != op(e3,e3) )
| ~ sP3 ),
inference(nnf_transformation,[],[f11]) ).
fof(f110,plain,
( ( e2 != op(e0,e3)
& e2 != op(e1,e3)
& e2 != op(e2,e3)
& e2 != op(e3,e3) )
| ~ sP2 ),
inference(nnf_transformation,[],[f10]) ).
fof(f111,plain,
( ( e3 != op(e3,e0)
& e3 != op(e3,e1)
& e3 != op(e3,e2)
& e3 != op(e3,e3) )
| ~ sP1 ),
inference(nnf_transformation,[],[f9]) ).
fof(f112,plain,
( ( e3 != op(e0,e3)
& e3 != op(e1,e3)
& e3 != op(e2,e3)
& e3 != op(e3,e3) )
| ~ sP0 ),
inference(nnf_transformation,[],[f8]) ).
fof(f116,plain,
e0 != e3,
inference(cnf_transformation,[],[f1]) ).
fof(f117,plain,
e0 != e2,
inference(cnf_transformation,[],[f1]) ).
fof(f118,plain,
e0 != e1,
inference(cnf_transformation,[],[f1]) ).
fof(f119,plain,
e0 = op(e3,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f120,plain,
e1 = op(e3,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f121,plain,
e2 = op(e3,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f122,plain,
e3 = op(e3,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f123,plain,
e1 = op(e2,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f124,plain,
e3 = op(e2,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f125,plain,
e0 = op(e2,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f126,plain,
e2 = op(e2,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f127,plain,
e2 = op(e1,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f128,plain,
e0 = op(e1,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f129,plain,
e3 = op(e1,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f130,plain,
e1 = op(e1,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f131,plain,
e3 = op(e0,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f132,plain,
e2 = op(e0,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f133,plain,
e1 = op(e0,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f134,plain,
e0 = op(e0,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f135,plain,
e0 = unit,
inference(cnf_transformation,[],[f3]) ).
fof(f139,plain,
( e1 = op(e0,e0)
| ~ sP51 ),
inference(cnf_transformation,[],[f61]) ).
fof(f143,plain,
( e2 = op(e0,e0)
| ~ sP50 ),
inference(cnf_transformation,[],[f62]) ).
fof(f147,plain,
( e3 = op(e0,e0)
| ~ sP49 ),
inference(cnf_transformation,[],[f63]) ).
fof(f151,plain,
( e0 != op(e0,e0)
| ~ sP48 ),
inference(cnf_transformation,[],[f64]) ).
fof(f154,plain,
( e1 != op(e0,e1)
| ~ sP47 ),
inference(cnf_transformation,[],[f65]) ).
fof(f157,plain,
( e2 != op(e0,e2)
| ~ sP46 ),
inference(cnf_transformation,[],[f66]) ).
fof(f160,plain,
( e3 != op(e0,e3)
| ~ sP45 ),
inference(cnf_transformation,[],[f67]) ).
fof(f166,plain,
( e1 != op(e1,e0)
| ~ sP44 ),
inference(cnf_transformation,[],[f68]) ).
fof(f168,plain,
( e3 != op(e1,e1)
| ~ sP43 ),
inference(cnf_transformation,[],[f69]) ).
fof(f175,plain,
( e0 != op(e1,e2)
| ~ sP42 ),
inference(cnf_transformation,[],[f70]) ).
fof(f177,plain,
( e2 != op(e1,e3)
| ~ sP41 ),
inference(cnf_transformation,[],[f71]) ).
fof(f181,plain,
( e2 != op(e2,e0)
| ~ sP40 ),
inference(cnf_transformation,[],[f72]) ).
fof(f187,plain,
( e0 != op(e2,e1)
| ~ sP39 ),
inference(cnf_transformation,[],[f73]) ).
fof(f188,plain,
( e3 != op(e2,e2)
| ~ sP38 ),
inference(cnf_transformation,[],[f74]) ).
fof(f194,plain,
( e1 != op(e2,e3)
| ~ sP37 ),
inference(cnf_transformation,[],[f75]) ).
fof(f196,plain,
( e3 != op(e3,e0)
| ~ sP36 ),
inference(cnf_transformation,[],[f76]) ).
fof(f201,plain,
( e2 != op(e3,e1)
| ~ sP35 ),
inference(cnf_transformation,[],[f77]) ).
fof(f206,plain,
( e1 != op(e3,e2)
| ~ sP34 ),
inference(cnf_transformation,[],[f78]) ).
fof(f211,plain,
( e0 != op(e3,e3)
| ~ sP33 ),
inference(cnf_transformation,[],[f79]) ).
fof(f215,plain,
( e0 != unit
| ~ sP32 ),
inference(cnf_transformation,[],[f80]) ).
fof(f219,plain,
( e0 != op(e0,e0)
| ~ sP31 ),
inference(cnf_transformation,[],[f81]) ).
fof(f223,plain,
( e0 != op(e0,e0)
| ~ sP30 ),
inference(cnf_transformation,[],[f82]) ).
fof(f226,plain,
( e1 != op(e0,e1)
| ~ sP29 ),
inference(cnf_transformation,[],[f83]) ).
fof(f230,plain,
( e1 != op(e1,e0)
| ~ sP28 ),
inference(cnf_transformation,[],[f84]) ).
fof(f233,plain,
( e2 != op(e0,e2)
| ~ sP27 ),
inference(cnf_transformation,[],[f85]) ).
fof(f237,plain,
( e2 != op(e2,e0)
| ~ sP26 ),
inference(cnf_transformation,[],[f86]) ).
fof(f240,plain,
( e3 != op(e0,e3)
| ~ sP25 ),
inference(cnf_transformation,[],[f87]) ).
fof(f244,plain,
( e3 != op(e3,e0)
| ~ sP24 ),
inference(cnf_transformation,[],[f88]) ).
fof(f249,plain,
( e0 != op(e1,e2)
| ~ sP23 ),
inference(cnf_transformation,[],[f89]) ).
fof(f253,plain,
( e0 != op(e2,e1)
| ~ sP22 ),
inference(cnf_transformation,[],[f90]) ).
fof(f259,plain,
( e1 != op(e1,e0)
| ~ sP21 ),
inference(cnf_transformation,[],[f91]) ).
fof(f263,plain,
( e1 != op(e0,e1)
| ~ sP20 ),
inference(cnf_transformation,[],[f92]) ).
fof(f264,plain,
( e2 != op(e1,e3)
| ~ sP19 ),
inference(cnf_transformation,[],[f93]) ).
fof(f268,plain,
( e2 != op(e3,e1)
| ~ sP18 ),
inference(cnf_transformation,[],[f94]) ).
fof(f274,plain,
( e3 != op(e1,e1)
| ~ sP17 ),
inference(cnf_transformation,[],[f95]) ).
fof(f278,plain,
( e3 != op(e1,e1)
| ~ sP16 ),
inference(cnf_transformation,[],[f96]) ).
fof(f282,plain,
( e0 != op(e2,e1)
| ~ sP15 ),
inference(cnf_transformation,[],[f97]) ).
fof(f286,plain,
( e0 != op(e1,e2)
| ~ sP14 ),
inference(cnf_transformation,[],[f98]) ).
fof(f288,plain,
( e1 != op(e2,e3)
| ~ sP13 ),
inference(cnf_transformation,[],[f99]) ).
fof(f292,plain,
( e1 != op(e3,e2)
| ~ sP12 ),
inference(cnf_transformation,[],[f100]) ).
fof(f299,plain,
( e2 != op(e2,e0)
| ~ sP11 ),
inference(cnf_transformation,[],[f101]) ).
fof(f303,plain,
( e2 != op(e0,e2)
| ~ sP10 ),
inference(cnf_transformation,[],[f102]) ).
fof(f305,plain,
( e3 != op(e2,e2)
| ~ sP9 ),
inference(cnf_transformation,[],[f103]) ).
fof(f309,plain,
( e3 != op(e2,e2)
| ~ sP8 ),
inference(cnf_transformation,[],[f104]) ).
fof(f312,plain,
( e0 != op(e3,e3)
| ~ sP7 ),
inference(cnf_transformation,[],[f105]) ).
fof(f316,plain,
( e0 != op(e3,e3)
| ~ sP6 ),
inference(cnf_transformation,[],[f106]) ).
fof(f321,plain,
( e1 != op(e3,e2)
| ~ sP5 ),
inference(cnf_transformation,[],[f107]) ).
fof(f325,plain,
( e1 != op(e2,e3)
| ~ sP4 ),
inference(cnf_transformation,[],[f108]) ).
fof(f330,plain,
( e2 != op(e3,e1)
| ~ sP3 ),
inference(cnf_transformation,[],[f109]) ).
fof(f334,plain,
( e2 != op(e1,e3)
| ~ sP2 ),
inference(cnf_transformation,[],[f110]) ).
fof(f339,plain,
( e3 != op(e3,e0)
| ~ sP1 ),
inference(cnf_transformation,[],[f111]) ).
fof(f343,plain,
( e3 != op(e0,e3)
| ~ sP0 ),
inference(cnf_transformation,[],[f112]) ).
fof(f345,plain,
( e0 = op(e2,e2)
| sP51
| sP50
| sP49
| sP48
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| e0 != op(unit,e0)
| e0 != op(e0,unit)
| e1 != op(unit,e1)
| e1 != op(e1,unit)
| e2 != op(unit,e2)
| e2 != op(e2,unit)
| e3 != op(unit,e3)
| e3 != op(e3,unit)
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f60]) ).
fof(f349,definition,
( spl52_1
<=> sP0 ),
introduced(definition,[new_symbols(definition,[spl52_1])],[avatar_definition]) ).
fof(f353,definition,
( spl52_2
<=> sP1 ),
introduced(definition,[new_symbols(definition,[spl52_2])],[avatar_definition]) ).
fof(f357,definition,
( spl52_3
<=> sP2 ),
introduced(definition,[new_symbols(definition,[spl52_3])],[avatar_definition]) ).
fof(f361,definition,
( spl52_4
<=> sP3 ),
introduced(definition,[new_symbols(definition,[spl52_4])],[avatar_definition]) ).
fof(f365,definition,
( spl52_5
<=> sP4 ),
introduced(definition,[new_symbols(definition,[spl52_5])],[avatar_definition]) ).
fof(f369,definition,
( spl52_6
<=> sP5 ),
introduced(definition,[new_symbols(definition,[spl52_6])],[avatar_definition]) ).
fof(f373,definition,
( spl52_7
<=> sP6 ),
introduced(definition,[new_symbols(definition,[spl52_7])],[avatar_definition]) ).
fof(f377,definition,
( spl52_8
<=> sP7 ),
introduced(definition,[new_symbols(definition,[spl52_8])],[avatar_definition]) ).
fof(f381,definition,
( spl52_9
<=> sP8 ),
introduced(definition,[new_symbols(definition,[spl52_9])],[avatar_definition]) ).
fof(f385,definition,
( spl52_10
<=> sP9 ),
introduced(definition,[new_symbols(definition,[spl52_10])],[avatar_definition]) ).
fof(f389,definition,
( spl52_11
<=> sP10 ),
introduced(definition,[new_symbols(definition,[spl52_11])],[avatar_definition]) ).
fof(f393,definition,
( spl52_12
<=> sP11 ),
introduced(definition,[new_symbols(definition,[spl52_12])],[avatar_definition]) ).
fof(f397,definition,
( spl52_13
<=> sP12 ),
introduced(definition,[new_symbols(definition,[spl52_13])],[avatar_definition]) ).
fof(f401,definition,
( spl52_14
<=> sP13 ),
introduced(definition,[new_symbols(definition,[spl52_14])],[avatar_definition]) ).
fof(f405,definition,
( spl52_15
<=> sP14 ),
introduced(definition,[new_symbols(definition,[spl52_15])],[avatar_definition]) ).
fof(f409,definition,
( spl52_16
<=> sP15 ),
introduced(definition,[new_symbols(definition,[spl52_16])],[avatar_definition]) ).
fof(f413,definition,
( spl52_17
<=> sP16 ),
introduced(definition,[new_symbols(definition,[spl52_17])],[avatar_definition]) ).
fof(f417,definition,
( spl52_18
<=> sP17 ),
introduced(definition,[new_symbols(definition,[spl52_18])],[avatar_definition]) ).
fof(f421,definition,
( spl52_19
<=> sP18 ),
introduced(definition,[new_symbols(definition,[spl52_19])],[avatar_definition]) ).
fof(f425,definition,
( spl52_20
<=> sP19 ),
introduced(definition,[new_symbols(definition,[spl52_20])],[avatar_definition]) ).
fof(f429,definition,
( spl52_21
<=> sP20 ),
introduced(definition,[new_symbols(definition,[spl52_21])],[avatar_definition]) ).
fof(f433,definition,
( spl52_22
<=> sP21 ),
introduced(definition,[new_symbols(definition,[spl52_22])],[avatar_definition]) ).
fof(f437,definition,
( spl52_23
<=> sP22 ),
introduced(definition,[new_symbols(definition,[spl52_23])],[avatar_definition]) ).
fof(f441,definition,
( spl52_24
<=> sP23 ),
introduced(definition,[new_symbols(definition,[spl52_24])],[avatar_definition]) ).
fof(f445,definition,
( spl52_25
<=> sP24 ),
introduced(definition,[new_symbols(definition,[spl52_25])],[avatar_definition]) ).
fof(f449,definition,
( spl52_26
<=> sP25 ),
introduced(definition,[new_symbols(definition,[spl52_26])],[avatar_definition]) ).
fof(f453,definition,
( spl52_27
<=> sP26 ),
introduced(definition,[new_symbols(definition,[spl52_27])],[avatar_definition]) ).
fof(f457,definition,
( spl52_28
<=> sP27 ),
introduced(definition,[new_symbols(definition,[spl52_28])],[avatar_definition]) ).
fof(f461,definition,
( spl52_29
<=> sP28 ),
introduced(definition,[new_symbols(definition,[spl52_29])],[avatar_definition]) ).
fof(f465,definition,
( spl52_30
<=> sP29 ),
introduced(definition,[new_symbols(definition,[spl52_30])],[avatar_definition]) ).
fof(f469,definition,
( spl52_31
<=> sP30 ),
introduced(definition,[new_symbols(definition,[spl52_31])],[avatar_definition]) ).
fof(f473,definition,
( spl52_32
<=> sP31 ),
introduced(definition,[new_symbols(definition,[spl52_32])],[avatar_definition]) ).
fof(f477,definition,
( spl52_33
<=> sP32 ),
introduced(definition,[new_symbols(definition,[spl52_33])],[avatar_definition]) ).
fof(f481,definition,
( spl52_34
<=> e3 = op(e3,unit) ),
introduced(definition,[new_symbols(definition,[spl52_34])],[avatar_definition]) ).
fof(f483,plain,
( e3 != op(e3,unit)
| spl52_34 ),
inference(avatar_component_clause,[],[f481]) ).
fof(f485,definition,
( spl52_35
<=> e3 = op(unit,e3) ),
introduced(definition,[new_symbols(definition,[spl52_35])],[avatar_definition]) ).
fof(f487,plain,
( e3 != op(unit,e3)
| spl52_35 ),
inference(avatar_component_clause,[],[f485]) ).
fof(f489,definition,
( spl52_36
<=> e2 = op(e2,unit) ),
introduced(definition,[new_symbols(definition,[spl52_36])],[avatar_definition]) ).
fof(f491,plain,
( e2 != op(e2,unit)
| spl52_36 ),
inference(avatar_component_clause,[],[f489]) ).
fof(f493,definition,
( spl52_37
<=> e2 = op(unit,e2) ),
introduced(definition,[new_symbols(definition,[spl52_37])],[avatar_definition]) ).
fof(f495,plain,
( e2 != op(unit,e2)
| spl52_37 ),
inference(avatar_component_clause,[],[f493]) ).
fof(f497,definition,
( spl52_38
<=> e1 = op(e1,unit) ),
introduced(definition,[new_symbols(definition,[spl52_38])],[avatar_definition]) ).
fof(f499,plain,
( e1 != op(e1,unit)
| spl52_38 ),
inference(avatar_component_clause,[],[f497]) ).
fof(f501,definition,
( spl52_39
<=> e1 = op(unit,e1) ),
introduced(definition,[new_symbols(definition,[spl52_39])],[avatar_definition]) ).
fof(f503,plain,
( e1 != op(unit,e1)
| spl52_39 ),
inference(avatar_component_clause,[],[f501]) ).
fof(f505,definition,
( spl52_40
<=> e0 = op(e0,unit) ),
introduced(definition,[new_symbols(definition,[spl52_40])],[avatar_definition]) ).
fof(f507,plain,
( e0 != op(e0,unit)
| spl52_40 ),
inference(avatar_component_clause,[],[f505]) ).
fof(f509,definition,
( spl52_41
<=> e0 = op(unit,e0) ),
introduced(definition,[new_symbols(definition,[spl52_41])],[avatar_definition]) ).
fof(f511,plain,
( e0 != op(unit,e0)
| spl52_41 ),
inference(avatar_component_clause,[],[f509]) ).
fof(f513,definition,
( spl52_42
<=> sP33 ),
introduced(definition,[new_symbols(definition,[spl52_42])],[avatar_definition]) ).
fof(f517,definition,
( spl52_43
<=> sP34 ),
introduced(definition,[new_symbols(definition,[spl52_43])],[avatar_definition]) ).
fof(f521,definition,
( spl52_44
<=> sP35 ),
introduced(definition,[new_symbols(definition,[spl52_44])],[avatar_definition]) ).
fof(f525,definition,
( spl52_45
<=> sP36 ),
introduced(definition,[new_symbols(definition,[spl52_45])],[avatar_definition]) ).
fof(f529,definition,
( spl52_46
<=> sP37 ),
introduced(definition,[new_symbols(definition,[spl52_46])],[avatar_definition]) ).
fof(f533,definition,
( spl52_47
<=> sP38 ),
introduced(definition,[new_symbols(definition,[spl52_47])],[avatar_definition]) ).
fof(f537,definition,
( spl52_48
<=> sP39 ),
introduced(definition,[new_symbols(definition,[spl52_48])],[avatar_definition]) ).
fof(f541,definition,
( spl52_49
<=> sP40 ),
introduced(definition,[new_symbols(definition,[spl52_49])],[avatar_definition]) ).
fof(f545,definition,
( spl52_50
<=> sP41 ),
introduced(definition,[new_symbols(definition,[spl52_50])],[avatar_definition]) ).
fof(f549,definition,
( spl52_51
<=> sP42 ),
introduced(definition,[new_symbols(definition,[spl52_51])],[avatar_definition]) ).
fof(f553,definition,
( spl52_52
<=> sP43 ),
introduced(definition,[new_symbols(definition,[spl52_52])],[avatar_definition]) ).
fof(f557,definition,
( spl52_53
<=> sP44 ),
introduced(definition,[new_symbols(definition,[spl52_53])],[avatar_definition]) ).
fof(f561,definition,
( spl52_54
<=> sP45 ),
introduced(definition,[new_symbols(definition,[spl52_54])],[avatar_definition]) ).
fof(f565,definition,
( spl52_55
<=> sP46 ),
introduced(definition,[new_symbols(definition,[spl52_55])],[avatar_definition]) ).
fof(f569,definition,
( spl52_56
<=> sP47 ),
introduced(definition,[new_symbols(definition,[spl52_56])],[avatar_definition]) ).
fof(f573,definition,
( spl52_57
<=> sP48 ),
introduced(definition,[new_symbols(definition,[spl52_57])],[avatar_definition]) ).
fof(f577,definition,
( spl52_58
<=> sP49 ),
introduced(definition,[new_symbols(definition,[spl52_58])],[avatar_definition]) ).
fof(f581,definition,
( spl52_59
<=> sP50 ),
introduced(definition,[new_symbols(definition,[spl52_59])],[avatar_definition]) ).
fof(f585,definition,
( spl52_60
<=> sP51 ),
introduced(definition,[new_symbols(definition,[spl52_60])],[avatar_definition]) ).
fof(f589,definition,
( spl52_61
<=> e0 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl52_61])],[avatar_definition]) ).
fof(f594,definition,
( spl52_62
<=> e0 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl52_62])],[avatar_definition]) ).
fof(f596,plain,
( e0 = op(e2,e2)
| ~ spl52_62 ),
inference(avatar_component_clause,[],[f594]) ).
fof(f597,plain,
( spl52_1
| spl52_2
| spl52_3
| spl52_4
| spl52_5
| spl52_6
| spl52_7
| spl52_8
| spl52_9
| spl52_10
| spl52_11
| spl52_12
| spl52_13
| spl52_14
| spl52_15
| spl52_16
| spl52_17
| spl52_18
| spl52_19
| spl52_20
| spl52_21
| spl52_22
| spl52_23
| spl52_24
| spl52_25
| spl52_26
| spl52_27
| spl52_28
| spl52_29
| spl52_30
| spl52_31
| spl52_32
| spl52_33
| ~ spl52_34
| ~ spl52_35
| ~ spl52_36
| ~ spl52_37
| ~ spl52_38
| ~ spl52_39
| ~ spl52_40
| ~ spl52_41
| spl52_42
| spl52_43
| spl52_44
| spl52_45
| spl52_46
| spl52_47
| spl52_48
| spl52_49
| spl52_50
| spl52_51
| spl52_52
| spl52_53
| spl52_54
| spl52_55
| spl52_56
| spl52_57
| spl52_58
| spl52_59
| spl52_60
| spl52_62 ),
inference(avatar_split_clause,[],[f345,f594,f585,f581,f577,f573,f569,f565,f561,f557,f553,f549,f545,f541,f537,f533,f529,f525,f521,f517,f513,f509,f505,f501,f497,f493,f489,f485,f481,f477,f473,f469,f465,f461,f457,f453,f449,f445,f441,f437,f433,f429,f425,f421,f417,f413,f409,f405,f401,f397,f393,f389,f385,f381,f377,f373,f369,f365,f361,f357,f353,f349]) ).
fof(f604,definition,
( spl52_64
<=> e0 = op(e0,e0) ),
introduced(definition,[new_symbols(definition,[spl52_64])],[avatar_definition]) ).
fof(f606,plain,
( e0 = op(e0,e0)
| ~ spl52_64 ),
inference(avatar_component_clause,[],[f604]) ).
fof(f624,definition,
( spl52_68
<=> e3 = op(e0,e3) ),
introduced(definition,[new_symbols(definition,[spl52_68])],[avatar_definition]) ).
fof(f627,plain,
( ~ spl52_1
| ~ spl52_68 ),
inference(avatar_split_clause,[],[f343,f624,f349]) ).
fof(f640,definition,
( spl52_71
<=> e3 = op(e3,e0) ),
introduced(definition,[new_symbols(definition,[spl52_71])],[avatar_definition]) ).
fof(f643,plain,
( ~ spl52_2
| ~ spl52_71 ),
inference(avatar_split_clause,[],[f339,f640,f353]) ).
fof(f655,definition,
( spl52_74
<=> e2 = op(e1,e3) ),
introduced(definition,[new_symbols(definition,[spl52_74])],[avatar_definition]) ).
fof(f658,plain,
( ~ spl52_3
| ~ spl52_74 ),
inference(avatar_split_clause,[],[f334,f655,f357]) ).
fof(f671,definition,
( spl52_77
<=> e2 = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[spl52_77])],[avatar_definition]) ).
fof(f674,plain,
( ~ spl52_4
| ~ spl52_77 ),
inference(avatar_split_clause,[],[f330,f671,f361]) ).
fof(f686,definition,
( spl52_80
<=> e1 = op(e2,e3) ),
introduced(definition,[new_symbols(definition,[spl52_80])],[avatar_definition]) ).
fof(f689,plain,
( ~ spl52_5
| ~ spl52_80 ),
inference(avatar_split_clause,[],[f325,f686,f365]) ).
fof(f702,definition,
( spl52_83
<=> e1 = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[spl52_83])],[avatar_definition]) ).
fof(f705,plain,
( ~ spl52_6
| ~ spl52_83 ),
inference(avatar_split_clause,[],[f321,f702,f369]) ).
fof(f716,plain,
( ~ spl52_7
| ~ spl52_61 ),
inference(avatar_split_clause,[],[f316,f589,f373]) ).
fof(f732,plain,
( ~ spl52_8
| ~ spl52_61 ),
inference(avatar_split_clause,[],[f312,f589,f377]) ).
fof(f750,definition,
( spl52_92
<=> e3 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl52_92])],[avatar_definition]) ).
fof(f751,plain,
( e3 = op(e2,e2)
| ~ spl52_92 ),
inference(avatar_component_clause,[],[f750]) ).
fof(f753,plain,
( ~ spl52_9
| ~ spl52_92 ),
inference(avatar_split_clause,[],[f309,f750,f381]) ).
fof(f765,plain,
( ~ spl52_10
| ~ spl52_92 ),
inference(avatar_split_clause,[],[f305,f750,f385]) ).
fof(f788,definition,
( spl52_99
<=> e2 = op(e0,e2) ),
introduced(definition,[new_symbols(definition,[spl52_99])],[avatar_definition]) ).
fof(f791,plain,
( ~ spl52_11
| ~ spl52_99 ),
inference(avatar_split_clause,[],[f303,f788,f389]) ).
fof(f800,definition,
( spl52_101
<=> e2 = op(e2,e0) ),
introduced(definition,[new_symbols(definition,[spl52_101])],[avatar_definition]) ).
fof(f803,plain,
( ~ spl52_12
| ~ spl52_101 ),
inference(avatar_split_clause,[],[f299,f800,f393]) ).
fof(f804,plain,
( ~ spl52_13
| ~ spl52_83 ),
inference(avatar_split_clause,[],[f292,f702,f397]) ).
fof(f820,plain,
( ~ spl52_14
| ~ spl52_80 ),
inference(avatar_split_clause,[],[f288,f686,f401]) ).
fof(f835,definition,
( spl52_107
<=> e0 = op(e1,e2) ),
introduced(definition,[new_symbols(definition,[spl52_107])],[avatar_definition]) ).
fof(f838,plain,
( ~ spl52_15
| ~ spl52_107 ),
inference(avatar_split_clause,[],[f286,f835,f405]) ).
fof(f847,definition,
( spl52_109
<=> e0 = op(e2,e1) ),
introduced(definition,[new_symbols(definition,[spl52_109])],[avatar_definition]) ).
fof(f850,plain,
( ~ spl52_16
| ~ spl52_109 ),
inference(avatar_split_clause,[],[f282,f847,f409]) ).
fof(f859,definition,
( spl52_111
<=> e3 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl52_111])],[avatar_definition]) ).
fof(f862,plain,
( ~ spl52_17
| ~ spl52_111 ),
inference(avatar_split_clause,[],[f278,f859,f413]) ).
fof(f870,plain,
( ~ spl52_18
| ~ spl52_111 ),
inference(avatar_split_clause,[],[f274,f859,f417]) ).
fof(f876,plain,
( ~ spl52_19
| ~ spl52_77 ),
inference(avatar_split_clause,[],[f268,f671,f421]) ).
fof(f888,plain,
( ~ spl52_20
| ~ spl52_74 ),
inference(avatar_split_clause,[],[f264,f655,f425]) ).
fof(f904,definition,
( spl52_118
<=> e1 = op(e0,e1) ),
introduced(definition,[new_symbols(definition,[spl52_118])],[avatar_definition]) ).
fof(f907,plain,
( ~ spl52_21
| ~ spl52_118 ),
inference(avatar_split_clause,[],[f263,f904,f429]) ).
fof(f912,definition,
( spl52_119
<=> e1 = op(e1,e0) ),
introduced(definition,[new_symbols(definition,[spl52_119])],[avatar_definition]) ).
fof(f915,plain,
( ~ spl52_22
| ~ spl52_119 ),
inference(avatar_split_clause,[],[f259,f912,f433]) ).
fof(f917,plain,
( ~ spl52_23
| ~ spl52_109 ),
inference(avatar_split_clause,[],[f253,f847,f437]) ).
fof(f925,plain,
( ~ spl52_24
| ~ spl52_107 ),
inference(avatar_split_clause,[],[f249,f835,f441]) ).
fof(f932,plain,
( ~ spl52_25
| ~ spl52_71 ),
inference(avatar_split_clause,[],[f244,f640,f445]) ).
fof(f936,definition,
( spl52_122
<=> e3 = op(e0,e0) ),
introduced(definition,[new_symbols(definition,[spl52_122])],[avatar_definition]) ).
fof(f937,plain,
( e3 = op(e0,e0)
| ~ spl52_122 ),
inference(avatar_component_clause,[],[f936]) ).
fof(f940,plain,
( ~ spl52_26
| ~ spl52_68 ),
inference(avatar_split_clause,[],[f240,f624,f449]) ).
fof(f945,plain,
( ~ spl52_27
| ~ spl52_101 ),
inference(avatar_split_clause,[],[f237,f800,f453]) ).
fof(f948,definition,
( spl52_123
<=> e2 = op(e0,e0) ),
introduced(definition,[new_symbols(definition,[spl52_123])],[avatar_definition]) ).
fof(f949,plain,
( e2 = op(e0,e0)
| ~ spl52_123 ),
inference(avatar_component_clause,[],[f948]) ).
fof(f953,plain,
( ~ spl52_28
| ~ spl52_99 ),
inference(avatar_split_clause,[],[f233,f788,f457]) ).
fof(f958,plain,
( ~ spl52_29
| ~ spl52_119 ),
inference(avatar_split_clause,[],[f230,f912,f461]) ).
fof(f960,definition,
( spl52_124
<=> e1 = op(e0,e0) ),
introduced(definition,[new_symbols(definition,[spl52_124])],[avatar_definition]) ).
fof(f961,plain,
( e1 = op(e0,e0)
| ~ spl52_124 ),
inference(avatar_component_clause,[],[f960]) ).
fof(f966,plain,
( ~ spl52_30
| ~ spl52_118 ),
inference(avatar_split_clause,[],[f226,f904,f465]) ).
fof(f971,plain,
( ~ spl52_31
| ~ spl52_64 ),
inference(avatar_split_clause,[],[f223,f604,f469]) ).
fof(f975,plain,
( ~ spl52_32
| ~ spl52_64 ),
inference(avatar_split_clause,[],[f219,f604,f473]) ).
fof(f992,definition,
( spl52_128
<=> e0 = unit ),
introduced(definition,[new_symbols(definition,[spl52_128])],[avatar_definition]) ).
fof(f993,plain,
( e0 = unit
| ~ spl52_128 ),
inference(avatar_component_clause,[],[f992]) ).
fof(f995,plain,
( ~ spl52_33
| ~ spl52_128 ),
inference(avatar_split_clause,[],[f215,f992,f477]) ).
fof(f999,plain,
( ~ spl52_42
| ~ spl52_61 ),
inference(avatar_split_clause,[],[f211,f589,f513]) ).
fof(f1002,plain,
( ~ spl52_43
| ~ spl52_83 ),
inference(avatar_split_clause,[],[f206,f702,f517]) ).
fof(f1005,plain,
( ~ spl52_44
| ~ spl52_77 ),
inference(avatar_split_clause,[],[f201,f671,f521]) ).
fof(f1008,plain,
( ~ spl52_45
| ~ spl52_71 ),
inference(avatar_split_clause,[],[f196,f640,f525]) ).
fof(f1014,plain,
( ~ spl52_46
| ~ spl52_80 ),
inference(avatar_split_clause,[],[f194,f686,f529]) ).
fof(f1016,plain,
( ~ spl52_47
| ~ spl52_92 ),
inference(avatar_split_clause,[],[f188,f750,f533]) ).
fof(f1023,plain,
( ~ spl52_48
| ~ spl52_109 ),
inference(avatar_split_clause,[],[f187,f847,f537]) ).
fof(f1025,plain,
( ~ spl52_49
| ~ spl52_101 ),
inference(avatar_split_clause,[],[f181,f800,f541]) ).
fof(f1029,plain,
( ~ spl52_50
| ~ spl52_74 ),
inference(avatar_split_clause,[],[f177,f655,f545]) ).
fof(f1035,plain,
( ~ spl52_51
| ~ spl52_107 ),
inference(avatar_split_clause,[],[f175,f835,f549]) ).
fof(f1036,plain,
( ~ spl52_52
| ~ spl52_111 ),
inference(avatar_split_clause,[],[f168,f859,f553]) ).
fof(f1042,plain,
( ~ spl52_53
| ~ spl52_119 ),
inference(avatar_split_clause,[],[f166,f912,f557]) ).
fof(f1044,plain,
( ~ spl52_54
| ~ spl52_68 ),
inference(avatar_split_clause,[],[f160,f624,f561]) ).
fof(f1049,plain,
( ~ spl52_55
| ~ spl52_99 ),
inference(avatar_split_clause,[],[f157,f788,f565]) ).
fof(f1054,plain,
( ~ spl52_56
| ~ spl52_118 ),
inference(avatar_split_clause,[],[f154,f904,f569]) ).
fof(f1059,plain,
( ~ spl52_57
| ~ spl52_64 ),
inference(avatar_split_clause,[],[f151,f604,f573]) ).
fof(f1063,plain,
( ~ spl52_58
| spl52_122 ),
inference(avatar_split_clause,[],[f147,f936,f577]) ).
fof(f1067,plain,
( ~ spl52_59
| spl52_123 ),
inference(avatar_split_clause,[],[f143,f948,f581]) ).
fof(f1071,plain,
( ~ spl52_60
| spl52_124 ),
inference(avatar_split_clause,[],[f139,f960,f585]) ).
fof(f1072,plain,
spl52_61,
inference(avatar_split_clause,[],[f119,f589]) ).
fof(f1073,plain,
spl52_83,
inference(avatar_split_clause,[],[f120,f702]) ).
fof(f1074,plain,
spl52_77,
inference(avatar_split_clause,[],[f121,f671]) ).
fof(f1075,plain,
spl52_71,
inference(avatar_split_clause,[],[f122,f640]) ).
fof(f1076,plain,
spl52_80,
inference(avatar_split_clause,[],[f123,f686]) ).
fof(f1077,plain,
spl52_92,
inference(avatar_split_clause,[],[f124,f750]) ).
fof(f1078,plain,
spl52_109,
inference(avatar_split_clause,[],[f125,f847]) ).
fof(f1079,plain,
spl52_101,
inference(avatar_split_clause,[],[f126,f800]) ).
fof(f1080,plain,
spl52_74,
inference(avatar_split_clause,[],[f127,f655]) ).
fof(f1081,plain,
spl52_107,
inference(avatar_split_clause,[],[f128,f835]) ).
fof(f1082,plain,
spl52_111,
inference(avatar_split_clause,[],[f129,f859]) ).
fof(f1083,plain,
spl52_119,
inference(avatar_split_clause,[],[f130,f912]) ).
fof(f1084,plain,
spl52_68,
inference(avatar_split_clause,[],[f131,f624]) ).
fof(f1085,plain,
spl52_99,
inference(avatar_split_clause,[],[f132,f788]) ).
fof(f1086,plain,
spl52_118,
inference(avatar_split_clause,[],[f133,f904]) ).
fof(f1087,plain,
spl52_64,
inference(avatar_split_clause,[],[f134,f604]) ).
fof(f1088,plain,
spl52_128,
inference(avatar_split_clause,[],[f135,f992]) ).
fof(f1089,plain,
( e1 != op(e1,e0)
| spl52_38
| ~ spl52_128 ),
inference(superposition,[],[f499,f993]) ).
fof(f1090,plain,
( ~ spl52_119
| spl52_38
| ~ spl52_128 ),
inference(avatar_split_clause,[],[f1089,f992,f497,f912]) ).
fof(f1091,plain,
( e3 != op(e3,e0)
| spl52_34
| ~ spl52_128 ),
inference(forward_demodulation,[],[f483,f993]) ).
fof(f1093,plain,
( ~ spl52_71
| spl52_34
| ~ spl52_128 ),
inference(avatar_split_clause,[],[f1091,f992,f481,f640]) ).
fof(f1096,plain,
( e3 != op(e0,e3)
| spl52_35
| ~ spl52_128 ),
inference(forward_demodulation,[],[f487,f993]) ).
fof(f1098,plain,
( ~ spl52_68
| spl52_35
| ~ spl52_128 ),
inference(avatar_split_clause,[],[f1096,f992,f485,f624]) ).
fof(f1100,plain,
( e2 != op(e2,e0)
| spl52_36
| ~ spl52_128 ),
inference(forward_demodulation,[],[f491,f993]) ).
fof(f1102,plain,
( ~ spl52_101
| spl52_36
| ~ spl52_128 ),
inference(avatar_split_clause,[],[f1100,f992,f489,f800]) ).
fof(f1104,plain,
( e2 != op(e0,e2)
| spl52_37
| ~ spl52_128 ),
inference(forward_demodulation,[],[f495,f993]) ).
fof(f1106,plain,
( ~ spl52_99
| spl52_37
| ~ spl52_128 ),
inference(avatar_split_clause,[],[f1104,f992,f493,f788]) ).
fof(f1108,plain,
( e1 != op(e0,e1)
| spl52_39
| ~ spl52_128 ),
inference(forward_demodulation,[],[f503,f993]) ).
fof(f1110,plain,
( ~ spl52_118
| spl52_39
| ~ spl52_128 ),
inference(avatar_split_clause,[],[f1108,f992,f501,f904]) ).
fof(f1112,plain,
( e0 != op(e0,e0)
| spl52_40
| ~ spl52_128 ),
inference(forward_demodulation,[],[f507,f993]) ).
fof(f1114,plain,
( $false
| spl52_40
| ~ spl52_64
| ~ spl52_128 ),
inference(forward_subsumption_resolution,[],[f1112,f606]) ).
fof(f1115,plain,
( spl52_40
| ~ spl52_64
| ~ spl52_128 ),
inference(avatar_contradiction_clause,[],[f1114]) ).
fof(f1117,plain,
( e0 != op(e0,e0)
| spl52_41
| ~ spl52_128 ),
inference(forward_demodulation,[],[f511,f993]) ).
fof(f1118,plain,
( $false
| spl52_41
| ~ spl52_64
| ~ spl52_128 ),
inference(forward_subsumption_resolution,[],[f1117,f606]) ).
fof(f1119,plain,
( spl52_41
| ~ spl52_64
| ~ spl52_128 ),
inference(avatar_contradiction_clause,[],[f1118]) ).
fof(f1122,plain,
( e0 = e3
| ~ spl52_64
| ~ spl52_122 ),
inference(forward_demodulation,[],[f937,f606]) ).
fof(f1125,plain,
( $false
| ~ spl52_64
| ~ spl52_122 ),
inference(forward_subsumption_resolution,[],[f1122,f116]) ).
fof(f1126,plain,
( ~ spl52_64
| ~ spl52_122 ),
inference(avatar_contradiction_clause,[],[f1125]) ).
fof(f1129,plain,
( e0 = e3
| ~ spl52_62
| ~ spl52_92 ),
inference(forward_demodulation,[],[f751,f596]) ).
fof(f1130,plain,
( $false
| ~ spl52_62
| ~ spl52_92 ),
inference(forward_subsumption_resolution,[],[f1129,f116]) ).
fof(f1131,plain,
( ~ spl52_62
| ~ spl52_92 ),
inference(avatar_contradiction_clause,[],[f1130]) ).
fof(f1134,plain,
( e0 = e1
| ~ spl52_64
| ~ spl52_124 ),
inference(forward_demodulation,[],[f961,f606]) ).
fof(f1139,plain,
( $false
| ~ spl52_64
| ~ spl52_124 ),
inference(forward_subsumption_resolution,[],[f1134,f118]) ).
fof(f1140,plain,
( ~ spl52_64
| ~ spl52_124 ),
inference(avatar_contradiction_clause,[],[f1139]) ).
fof(f1143,plain,
( e0 = e2
| ~ spl52_64
| ~ spl52_123 ),
inference(forward_demodulation,[],[f949,f606]) ).
fof(f1147,plain,
( $false
| ~ spl52_64
| ~ spl52_123 ),
inference(forward_subsumption_resolution,[],[f1143,f117]) ).
fof(f1148,plain,
( ~ spl52_64
| ~ spl52_123 ),
inference(avatar_contradiction_clause,[],[f1147]) ).
cnf(s2,plain,
( spl52_1
| spl52_2
| spl52_3
| spl52_4
| spl52_5
| spl52_6
| spl52_7
| spl52_8
| spl52_9
| spl52_10
| spl52_11
| spl52_12
| spl52_13
| spl52_14
| spl52_15
| spl52_16
| spl52_17
| spl52_18
| spl52_19
| spl52_20
| spl52_21
| spl52_22
| spl52_23
| spl52_24
| spl52_25
| spl52_26
| spl52_27
| spl52_28
| spl52_29
| spl52_30
| spl52_31
| spl52_32
| spl52_33
| ~ spl52_34
| ~ spl52_35
| ~ spl52_36
| ~ spl52_37
| ~ spl52_38
| ~ spl52_39
| ~ spl52_40
| ~ spl52_41
| spl52_42
| spl52_43
| spl52_44
| spl52_45
| spl52_46
| spl52_47
| spl52_48
| spl52_49
| spl52_50
| spl52_51
| spl52_52
| spl52_53
| spl52_54
| spl52_55
| spl52_56
| spl52_57
| spl52_58
| spl52_59
| spl52_60
| spl52_62 ),
inference(sat_conversion,[],[f597]) ).
cnf(s8,plain,
( ~ spl52_1
| ~ spl52_68 ),
inference(sat_conversion,[],[f627]) ).
cnf(s12,plain,
( ~ spl52_2
| ~ spl52_71 ),
inference(sat_conversion,[],[f643]) ).
cnf(s15,plain,
( ~ spl52_3
| ~ spl52_74 ),
inference(sat_conversion,[],[f658]) ).
cnf(s19,plain,
( ~ spl52_4
| ~ spl52_77 ),
inference(sat_conversion,[],[f674]) ).
cnf(s22,plain,
( ~ spl52_5
| ~ spl52_80 ),
inference(sat_conversion,[],[f689]) ).
cnf(s26,plain,
( ~ spl52_6
| ~ spl52_83 ),
inference(sat_conversion,[],[f705]) ).
cnf(s29,plain,
( ~ spl52_7
| ~ spl52_61 ),
inference(sat_conversion,[],[f716]) ).
cnf(s33,plain,
( ~ spl52_8
| ~ spl52_61 ),
inference(sat_conversion,[],[f732]) ).
cnf(s38,plain,
( ~ spl52_9
| ~ spl52_92 ),
inference(sat_conversion,[],[f753]) ).
cnf(s42,plain,
( ~ spl52_10
| ~ spl52_92 ),
inference(sat_conversion,[],[f765]) ).
cnf(s48,plain,
( ~ spl52_11
| ~ spl52_99 ),
inference(sat_conversion,[],[f791]) ).
cnf(s52,plain,
( ~ spl52_12
| ~ spl52_101 ),
inference(sat_conversion,[],[f803]) ).
cnf(s53,plain,
( ~ spl52_13
| ~ spl52_83 ),
inference(sat_conversion,[],[f804]) ).
cnf(s57,plain,
( ~ spl52_14
| ~ spl52_80 ),
inference(sat_conversion,[],[f820]) ).
cnf(s63,plain,
( ~ spl52_15
| ~ spl52_107 ),
inference(sat_conversion,[],[f838]) ).
cnf(s67,plain,
( ~ spl52_16
| ~ spl52_109 ),
inference(sat_conversion,[],[f850]) ).
cnf(s71,plain,
( ~ spl52_17
| ~ spl52_111 ),
inference(sat_conversion,[],[f862]) ).
cnf(s75,plain,
( ~ spl52_18
| ~ spl52_111 ),
inference(sat_conversion,[],[f870]) ).
cnf(s77,plain,
( ~ spl52_19
| ~ spl52_77 ),
inference(sat_conversion,[],[f876]) ).
cnf(s81,plain,
( ~ spl52_20
| ~ spl52_74 ),
inference(sat_conversion,[],[f888]) ).
cnf(s88,plain,
( ~ spl52_21
| ~ spl52_118 ),
inference(sat_conversion,[],[f907]) ).
cnf(s92,plain,
( ~ spl52_22
| ~ spl52_119 ),
inference(sat_conversion,[],[f915]) ).
cnf(s94,plain,
( ~ spl52_23
| ~ spl52_109 ),
inference(sat_conversion,[],[f917]) ).
cnf(s98,plain,
( ~ spl52_24
| ~ spl52_107 ),
inference(sat_conversion,[],[f925]) ).
cnf(s101,plain,
( ~ spl52_25
| ~ spl52_71 ),
inference(sat_conversion,[],[f932]) ).
cnf(s105,plain,
( ~ spl52_26
| ~ spl52_68 ),
inference(sat_conversion,[],[f940]) ).
cnf(s110,plain,
( ~ spl52_27
| ~ spl52_101 ),
inference(sat_conversion,[],[f945]) ).
cnf(s114,plain,
( ~ spl52_28
| ~ spl52_99 ),
inference(sat_conversion,[],[f953]) ).
cnf(s119,plain,
( ~ spl52_29
| ~ spl52_119 ),
inference(sat_conversion,[],[f958]) ).
cnf(s123,plain,
( ~ spl52_30
| ~ spl52_118 ),
inference(sat_conversion,[],[f966]) ).
cnf(s128,plain,
( ~ spl52_31
| ~ spl52_64 ),
inference(sat_conversion,[],[f971]) ).
cnf(s132,plain,
( ~ spl52_32
| ~ spl52_64 ),
inference(sat_conversion,[],[f975]) ).
cnf(s136,plain,
( ~ spl52_33
| ~ spl52_128 ),
inference(sat_conversion,[],[f995]) ).
cnf(s140,plain,
( ~ spl52_42
| ~ spl52_61 ),
inference(sat_conversion,[],[f999]) ).
cnf(s143,plain,
( ~ spl52_43
| ~ spl52_83 ),
inference(sat_conversion,[],[f1002]) ).
cnf(s146,plain,
( ~ spl52_44
| ~ spl52_77 ),
inference(sat_conversion,[],[f1005]) ).
cnf(s149,plain,
( ~ spl52_45
| ~ spl52_71 ),
inference(sat_conversion,[],[f1008]) ).
cnf(s155,plain,
( ~ spl52_46
| ~ spl52_80 ),
inference(sat_conversion,[],[f1014]) ).
cnf(s157,plain,
( ~ spl52_47
| ~ spl52_92 ),
inference(sat_conversion,[],[f1016]) ).
cnf(s164,plain,
( ~ spl52_48
| ~ spl52_109 ),
inference(sat_conversion,[],[f1023]) ).
cnf(s166,plain,
( ~ spl52_49
| ~ spl52_101 ),
inference(sat_conversion,[],[f1025]) ).
cnf(s170,plain,
( ~ spl52_50
| ~ spl52_74 ),
inference(sat_conversion,[],[f1029]) ).
cnf(s176,plain,
( ~ spl52_51
| ~ spl52_107 ),
inference(sat_conversion,[],[f1035]) ).
cnf(s177,plain,
( ~ spl52_52
| ~ spl52_111 ),
inference(sat_conversion,[],[f1036]) ).
cnf(s183,plain,
( ~ spl52_53
| ~ spl52_119 ),
inference(sat_conversion,[],[f1042]) ).
cnf(s185,plain,
( ~ spl52_54
| ~ spl52_68 ),
inference(sat_conversion,[],[f1044]) ).
cnf(s190,plain,
( ~ spl52_55
| ~ spl52_99 ),
inference(sat_conversion,[],[f1049]) ).
cnf(s195,plain,
( ~ spl52_56
| ~ spl52_118 ),
inference(sat_conversion,[],[f1054]) ).
cnf(s200,plain,
( ~ spl52_57
| ~ spl52_64 ),
inference(sat_conversion,[],[f1059]) ).
cnf(s204,plain,
( ~ spl52_58
| spl52_122 ),
inference(sat_conversion,[],[f1063]) ).
cnf(s208,plain,
( ~ spl52_59
| spl52_123 ),
inference(sat_conversion,[],[f1067]) ).
cnf(s212,plain,
( ~ spl52_60
| spl52_124 ),
inference(sat_conversion,[],[f1071]) ).
cnf(s213,plain,
spl52_61,
inference(sat_conversion,[],[f1072]) ).
cnf(s214,plain,
spl52_83,
inference(sat_conversion,[],[f1073]) ).
cnf(s215,plain,
spl52_77,
inference(sat_conversion,[],[f1074]) ).
cnf(s216,plain,
spl52_71,
inference(sat_conversion,[],[f1075]) ).
cnf(s217,plain,
spl52_80,
inference(sat_conversion,[],[f1076]) ).
cnf(s218,plain,
spl52_92,
inference(sat_conversion,[],[f1077]) ).
cnf(s219,plain,
spl52_109,
inference(sat_conversion,[],[f1078]) ).
cnf(s220,plain,
spl52_101,
inference(sat_conversion,[],[f1079]) ).
cnf(s221,plain,
spl52_74,
inference(sat_conversion,[],[f1080]) ).
cnf(s222,plain,
spl52_107,
inference(sat_conversion,[],[f1081]) ).
cnf(s223,plain,
spl52_111,
inference(sat_conversion,[],[f1082]) ).
cnf(s224,plain,
spl52_119,
inference(sat_conversion,[],[f1083]) ).
cnf(s225,plain,
spl52_68,
inference(sat_conversion,[],[f1084]) ).
cnf(s226,plain,
spl52_99,
inference(sat_conversion,[],[f1085]) ).
cnf(s227,plain,
spl52_118,
inference(sat_conversion,[],[f1086]) ).
cnf(s228,plain,
spl52_64,
inference(sat_conversion,[],[f1087]) ).
cnf(s229,plain,
spl52_128,
inference(sat_conversion,[],[f1088]) ).
cnf(s230,plain,
( spl52_38
| ~ spl52_119
| ~ spl52_128 ),
inference(sat_conversion,[],[f1090]) ).
cnf(s231,plain,
( spl52_34
| ~ spl52_71
| ~ spl52_128 ),
inference(sat_conversion,[],[f1093]) ).
cnf(s234,plain,
( spl52_35
| ~ spl52_68
| ~ spl52_128 ),
inference(sat_conversion,[],[f1098]) ).
cnf(s236,plain,
( spl52_36
| ~ spl52_101
| ~ spl52_128 ),
inference(sat_conversion,[],[f1102]) ).
cnf(s238,plain,
( spl52_37
| ~ spl52_99
| ~ spl52_128 ),
inference(sat_conversion,[],[f1106]) ).
cnf(s240,plain,
( spl52_39
| ~ spl52_118
| ~ spl52_128 ),
inference(sat_conversion,[],[f1110]) ).
cnf(s242,plain,
( spl52_40
| ~ spl52_64
| ~ spl52_128 ),
inference(sat_conversion,[],[f1115]) ).
cnf(s243,plain,
( spl52_41
| ~ spl52_64
| ~ spl52_128 ),
inference(sat_conversion,[],[f1119]) ).
cnf(s245,plain,
( ~ spl52_64
| ~ spl52_122 ),
inference(sat_conversion,[],[f1126]) ).
cnf(s246,plain,
( ~ spl52_62
| ~ spl52_92 ),
inference(sat_conversion,[],[f1131]) ).
cnf(s249,plain,
( ~ spl52_64
| ~ spl52_124 ),
inference(sat_conversion,[],[f1140]) ).
cnf(s251,plain,
( ~ spl52_64
| ~ spl52_123 ),
inference(sat_conversion,[],[f1148]) ).
cnf(s252,plain,
~ spl52_123,
inference(rat,[],[s251,s228]) ).
cnf(s253,plain,
~ spl52_124,
inference(rat,[],[s249,s228]) ).
cnf(s254,plain,
~ spl52_122,
inference(rat,[],[s245,s228]) ).
cnf(s255,plain,
spl52_41,
inference(rat,[],[s243,s229,s228]) ).
cnf(s256,plain,
spl52_40,
inference(rat,[],[s242,s229,s228]) ).
cnf(s257,plain,
spl52_39,
inference(rat,[],[s240,s229,s227]) ).
cnf(s258,plain,
spl52_37,
inference(rat,[],[s238,s229,s226]) ).
cnf(s259,plain,
spl52_35,
inference(rat,[],[s234,s229,s225]) ).
cnf(s260,plain,
spl52_38,
inference(rat,[],[s230,s229,s224]) ).
cnf(s261,plain,
spl52_36,
inference(rat,[],[s236,s229,s220]) ).
cnf(s262,plain,
~ spl52_62,
inference(rat,[],[s246,s218]) ).
cnf(s263,plain,
spl52_34,
inference(rat,[],[s231,s229,s216]) ).
cnf(s267,plain,
~ spl52_60,
inference(rat,[],[s212,s253]) ).
cnf(s268,plain,
~ spl52_59,
inference(rat,[],[s208,s252]) ).
cnf(s269,plain,
~ spl52_58,
inference(rat,[],[s204,s254]) ).
cnf(s270,plain,
~ spl52_57,
inference(rat,[],[s200,s228]) ).
cnf(s271,plain,
~ spl52_56,
inference(rat,[],[s195,s227]) ).
cnf(s272,plain,
~ spl52_55,
inference(rat,[],[s190,s226]) ).
cnf(s273,plain,
~ spl52_54,
inference(rat,[],[s185,s225]) ).
cnf(s274,plain,
~ spl52_53,
inference(rat,[],[s183,s224]) ).
cnf(s275,plain,
~ spl52_52,
inference(rat,[],[s177,s223]) ).
cnf(s276,plain,
~ spl52_51,
inference(rat,[],[s176,s222]) ).
cnf(s277,plain,
~ spl52_50,
inference(rat,[],[s170,s221]) ).
cnf(s278,plain,
~ spl52_49,
inference(rat,[],[s166,s220]) ).
cnf(s279,plain,
~ spl52_48,
inference(rat,[],[s164,s219]) ).
cnf(s280,plain,
~ spl52_47,
inference(rat,[],[s157,s218]) ).
cnf(s281,plain,
~ spl52_46,
inference(rat,[],[s155,s217]) ).
cnf(s282,plain,
~ spl52_45,
inference(rat,[],[s149,s216]) ).
cnf(s283,plain,
~ spl52_44,
inference(rat,[],[s146,s215]) ).
cnf(s284,plain,
~ spl52_43,
inference(rat,[],[s143,s214]) ).
cnf(s285,plain,
~ spl52_42,
inference(rat,[],[s140,s213]) ).
cnf(s286,plain,
~ spl52_33,
inference(rat,[],[s136,s229]) ).
cnf(s287,plain,
~ spl52_32,
inference(rat,[],[s132,s228]) ).
cnf(s288,plain,
~ spl52_31,
inference(rat,[],[s128,s228]) ).
cnf(s289,plain,
~ spl52_30,
inference(rat,[],[s123,s227]) ).
cnf(s290,plain,
~ spl52_29,
inference(rat,[],[s119,s224]) ).
cnf(s291,plain,
~ spl52_28,
inference(rat,[],[s114,s226]) ).
cnf(s292,plain,
~ spl52_27,
inference(rat,[],[s110,s220]) ).
cnf(s293,plain,
~ spl52_26,
inference(rat,[],[s105,s225]) ).
cnf(s294,plain,
~ spl52_25,
inference(rat,[],[s101,s216]) ).
cnf(s295,plain,
~ spl52_24,
inference(rat,[],[s98,s222]) ).
cnf(s296,plain,
~ spl52_23,
inference(rat,[],[s94,s219]) ).
cnf(s297,plain,
~ spl52_22,
inference(rat,[],[s92,s224]) ).
cnf(s298,plain,
~ spl52_21,
inference(rat,[],[s88,s227]) ).
cnf(s299,plain,
~ spl52_20,
inference(rat,[],[s81,s221]) ).
cnf(s300,plain,
~ spl52_19,
inference(rat,[],[s77,s215]) ).
cnf(s301,plain,
~ spl52_18,
inference(rat,[],[s75,s223]) ).
cnf(s302,plain,
~ spl52_17,
inference(rat,[],[s71,s223]) ).
cnf(s303,plain,
~ spl52_16,
inference(rat,[],[s67,s219]) ).
cnf(s304,plain,
~ spl52_15,
inference(rat,[],[s63,s222]) ).
cnf(s305,plain,
~ spl52_14,
inference(rat,[],[s57,s217]) ).
cnf(s306,plain,
~ spl52_13,
inference(rat,[],[s53,s214]) ).
cnf(s307,plain,
~ spl52_12,
inference(rat,[],[s52,s220]) ).
cnf(s308,plain,
~ spl52_11,
inference(rat,[],[s48,s226]) ).
cnf(s309,plain,
~ spl52_10,
inference(rat,[],[s42,s218]) ).
cnf(s310,plain,
~ spl52_9,
inference(rat,[],[s38,s218]) ).
cnf(s311,plain,
~ spl52_8,
inference(rat,[],[s33,s213]) ).
cnf(s312,plain,
~ spl52_7,
inference(rat,[],[s29,s213]) ).
cnf(s313,plain,
~ spl52_6,
inference(rat,[],[s26,s214]) ).
cnf(s314,plain,
~ spl52_5,
inference(rat,[],[s22,s217]) ).
cnf(s315,plain,
~ spl52_4,
inference(rat,[],[s19,s215]) ).
cnf(s316,plain,
~ spl52_3,
inference(rat,[],[s15,s221]) ).
cnf(s317,plain,
~ spl52_2,
inference(rat,[],[s12,s216]) ).
cnf(s318,plain,
~ spl52_1,
inference(rat,[],[s8,s225]) ).
cnf(s321,plain,
$false,
inference(rat,[],[s2,s262,s267,s268,s269,s270,s271,s272,s273,s274,s275,s276,s277,s278,s279,s280,s281,s282,s283,s284,s285,s255,s256,s257,s260,s258,s261,s259,s263,s286,s287,s288,s289,s290,s291,s292,s293,s294,s295,s296,s297,s298,s299,s300,s301,s302,s303,s304,s305,s306,s307,s308,s309,s310,s311,s312,s313,s314,s315,s316,s317,s318]) ).
fof(f1149,plain,
$false,
inference(avatar_sat_refutation,[],[s321]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG044+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.17 % Computer : n010.cluster.edu
% 0.06/0.17 % Model : x86_64 x86_64
% 0.06/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.17 % Memory : 8046.5625MB
% 0.06/0.17 % OS : Linux 6.8.0-71-generic
% 0.06/0.17 % CPULimit : 300
% 0.06/0.17 % WCLimit : 300
% 0.06/0.17 % DateTime : Mon Sep 28 19:20:32 UTC 2026
% 0.06/0.18 % CPUTime :
% 0.06/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.21 Running first-order theorem proving
% 0.06/0.21 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.28/0.74 % (2234269)Detected formulas, will run a generic FOF schedule.
% 2.28/0.74 % (2234279)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1403548660:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.28/0.74 % (2234278)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1122780857:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.28/0.74 % (2234276)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=2804129372:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.28/0.74 % (2234280)dis-21_1_sil=8000:lcm=predicate:random_seed=2136313746:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.28/0.74 % (2234274)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=2936814311:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.28/0.74 % (2234277)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3950973232:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.28/0.74 % (2234275)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=3855782460:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.28/0.74 % (2234279)First to succeed.
% 2.28/0.74 % (2234278)Also succeeded, but the first one will report.
% 2.28/0.74 % (2234279)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2234269"
% 2.28/0.74 % (2234280)Refutation not found, incomplete strategy
% 2.28/0.74 % (2234280)------------------------------
% 2.28/0.74 % (2234280)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.28/0.74 % (2234280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/0.74 % (2234280)CaDiCaL version: 2.1.3
% 2.28/0.74 % (2234280)Termination reason: Refutation not found, incomplete strategy
% 2.28/0.74 % (2234280)Time elapsed: 0.008 s
% 2.28/0.74 % (2234280)Peak memory usage: 89 MB
% 2.28/0.74 % (2234280)Instructions burned: 13 (million)
% 2.28/0.74 % (2234277)Refutation not found, incomplete strategy
% 2.28/0.74 % (2234277)------------------------------
% 2.28/0.74 % (2234277)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.28/0.74 % (2234277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/0.74 % (2234277)CaDiCaL version: 2.1.3
% 2.28/0.74 % (2234277)Termination reason: Refutation not found, incomplete strategy
% 2.28/0.74 % (2234277)Time elapsed: 0.015 s
% 2.28/0.74 % (2234277)Peak memory usage: 89 MB
% 2.28/0.74 % (2234277)Instructions burned: 29 (million)
% 2.28/0.74 % (2234279)Refutation found. Thanks to Tanya!
% 2.28/0.74 % SZS status Theorem for theBenchmark
% 2.28/0.74 % SZS output start Proof for theBenchmark
% See solution above
% 2.74/0.93 % (2234279)------------------------------
% 2.74/0.93 % (2234279)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.74/0.93 % (2234279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/0.93 % (2234279)CaDiCaL version: 2.1.3
% 2.74/0.93 % (2234279)Termination reason: Refutation
% 2.74/0.93 % (2234279)Time elapsed: 0.009 s
% 2.74/0.93 % (2234279)Peak memory usage: 90 MB
% 2.74/0.93 % (2234279)Instructions burned: 32 (million)
% 2.74/0.93 % (2234279)------------------------------
% 2.74/0.93 % (2234279)------------------------------
% 2.74/0.93 % (2234269)Success in time 0.328 s
% 2.74/0.93 % Vampire exiting
%------------------------------------------------------------------------------