%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG043+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 : n011.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 09:08:15 AM UTC 2026
% Result : Theorem 3.09s 1.07s
% Output : Refutation 3.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 65
% Number of leaves : 52
% Syntax : Number of formulae : 322 ( 79 unt; 49 def)
% Number of atoms : 3369 (1375 equ)
% Maximal formula atoms : 220 ( 10 avg)
% Number of connectives : 4166 (1119 ~;2447 |; 600 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 65 ( 10 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 51 ( 49 usr; 50 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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) = e0
& op(e1,e2) = e3
& op(e1,e3) = e2
& op(e2,e0) = e2
& op(e2,e1) = e3
& op(e2,e2) = e0
& op(e2,e3) = e1
& op(e3,e0) = e3
& op(e3,e1) = e2
& op(e3,e2) = e1
& op(e3,e3) = e0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f3,axiom,
unit = e0,
file('/export/starexec/sandbox2/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/sandbox2/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,
( ( ( e0 != op(e0,e0)
| e0 != op(e1,e1)
| e0 != op(e2,e2)
| e0 != op(e3,e3) )
& ( e1 != op(e0,e0)
| e1 != op(e1,e1)
| e1 != op(e2,e2)
| e1 != op(e3,e3) )
& ( e2 != op(e0,e0)
| e2 != op(e1,e1)
| e2 != op(e2,e2)
| e2 != op(e3,e3) )
& ( e3 != op(e0,e0)
| e3 != op(e1,e1)
| e3 != op(e2,e2)
| e3 != op(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,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(f8,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(f9,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(f10,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(f11,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(f12,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(f13,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(f14,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(f15,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(f16,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(f17,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(f18,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(f19,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(f20,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(f21,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(f22,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(f23,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(f24,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(f25,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(f26,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(f27,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(f28,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(f29,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(f30,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(f31,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(f32,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(f33,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(f34,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(f35,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(f36,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(f37,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(f38,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(f39,definition,
( ( e0 != unit
& e1 != unit
& e2 != unit
& e3 != unit )
| ~ sP32 ),
introduced(definition,[new_symbols(definition,[sP32])],[predicate_definition_introduction]) ).
fof(f40,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(f41,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(f42,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(f43,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(f44,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(f45,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(f46,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(f47,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(f48,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(f49,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(f50,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(f51,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(f52,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(f53,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(f54,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(f55,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(f56,plain,
( ( ( e0 != op(e0,e0)
| e0 != op(e1,e1)
| e0 != op(e2,e2)
| e0 != op(e3,e3) )
& ( e1 != op(e0,e0)
| e1 != op(e1,e1)
| e1 != op(e2,e2)
| e1 != op(e3,e3) )
& ( e2 != op(e0,e0)
| e2 != op(e1,e1)
| e2 != op(e2,e2)
| e2 != op(e3,e3) )
& ( e3 != op(e0,e0)
| e3 != op(e1,e1)
| e3 != op(e2,e2)
| e3 != op(e3,e3) ) )
| 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,[],[f6,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,f7]) ).
fof(f57,plain,
( ( e0 != op(e0,e0)
& e1 != op(e0,e0)
& e2 != op(e0,e0)
& e3 != op(e0,e0) )
| ~ sP48 ),
inference(nnf_transformation,[],[f55]) ).
fof(f58,plain,
( ( e0 != op(e0,e1)
& e1 != op(e0,e1)
& e2 != op(e0,e1)
& e3 != op(e0,e1) )
| ~ sP47 ),
inference(nnf_transformation,[],[f54]) ).
fof(f59,plain,
( ( e0 != op(e0,e2)
& e1 != op(e0,e2)
& e2 != op(e0,e2)
& e3 != op(e0,e2) )
| ~ sP46 ),
inference(nnf_transformation,[],[f53]) ).
fof(f60,plain,
( ( e0 != op(e0,e3)
& e1 != op(e0,e3)
& e2 != op(e0,e3)
& e3 != op(e0,e3) )
| ~ sP45 ),
inference(nnf_transformation,[],[f52]) ).
fof(f61,plain,
( ( e0 != op(e1,e0)
& e1 != op(e1,e0)
& e2 != op(e1,e0)
& e3 != op(e1,e0) )
| ~ sP44 ),
inference(nnf_transformation,[],[f51]) ).
fof(f62,plain,
( ( e0 != op(e1,e1)
& e1 != op(e1,e1)
& e2 != op(e1,e1)
& e3 != op(e1,e1) )
| ~ sP43 ),
inference(nnf_transformation,[],[f50]) ).
fof(f63,plain,
( ( e0 != op(e1,e2)
& e1 != op(e1,e2)
& e2 != op(e1,e2)
& e3 != op(e1,e2) )
| ~ sP42 ),
inference(nnf_transformation,[],[f49]) ).
fof(f64,plain,
( ( e0 != op(e1,e3)
& e1 != op(e1,e3)
& e2 != op(e1,e3)
& e3 != op(e1,e3) )
| ~ sP41 ),
inference(nnf_transformation,[],[f48]) ).
fof(f65,plain,
( ( e0 != op(e2,e0)
& e1 != op(e2,e0)
& e2 != op(e2,e0)
& e3 != op(e2,e0) )
| ~ sP40 ),
inference(nnf_transformation,[],[f47]) ).
fof(f66,plain,
( ( e0 != op(e2,e1)
& e1 != op(e2,e1)
& e2 != op(e2,e1)
& e3 != op(e2,e1) )
| ~ sP39 ),
inference(nnf_transformation,[],[f46]) ).
fof(f67,plain,
( ( e0 != op(e2,e2)
& e1 != op(e2,e2)
& e2 != op(e2,e2)
& e3 != op(e2,e2) )
| ~ sP38 ),
inference(nnf_transformation,[],[f45]) ).
fof(f68,plain,
( ( e0 != op(e2,e3)
& e1 != op(e2,e3)
& e2 != op(e2,e3)
& e3 != op(e2,e3) )
| ~ sP37 ),
inference(nnf_transformation,[],[f44]) ).
fof(f69,plain,
( ( e0 != op(e3,e0)
& e1 != op(e3,e0)
& e2 != op(e3,e0)
& e3 != op(e3,e0) )
| ~ sP36 ),
inference(nnf_transformation,[],[f43]) ).
fof(f70,plain,
( ( e0 != op(e3,e1)
& e1 != op(e3,e1)
& e2 != op(e3,e1)
& e3 != op(e3,e1) )
| ~ sP35 ),
inference(nnf_transformation,[],[f42]) ).
fof(f71,plain,
( ( e0 != op(e3,e2)
& e1 != op(e3,e2)
& e2 != op(e3,e2)
& e3 != op(e3,e2) )
| ~ sP34 ),
inference(nnf_transformation,[],[f41]) ).
fof(f72,plain,
( ( e0 != op(e3,e3)
& e1 != op(e3,e3)
& e2 != op(e3,e3)
& e3 != op(e3,e3) )
| ~ sP33 ),
inference(nnf_transformation,[],[f40]) ).
fof(f73,plain,
( ( e0 != unit
& e1 != unit
& e2 != unit
& e3 != unit )
| ~ sP32 ),
inference(nnf_transformation,[],[f39]) ).
fof(f74,plain,
( ( e0 != op(e0,e0)
& e0 != op(e0,e1)
& e0 != op(e0,e2)
& e0 != op(e0,e3) )
| ~ sP31 ),
inference(nnf_transformation,[],[f38]) ).
fof(f75,plain,
( ( e0 != op(e0,e0)
& e0 != op(e1,e0)
& e0 != op(e2,e0)
& e0 != op(e3,e0) )
| ~ sP30 ),
inference(nnf_transformation,[],[f37]) ).
fof(f76,plain,
( ( e1 != op(e0,e0)
& e1 != op(e0,e1)
& e1 != op(e0,e2)
& e1 != op(e0,e3) )
| ~ sP29 ),
inference(nnf_transformation,[],[f36]) ).
fof(f77,plain,
( ( e1 != op(e0,e0)
& e1 != op(e1,e0)
& e1 != op(e2,e0)
& e1 != op(e3,e0) )
| ~ sP28 ),
inference(nnf_transformation,[],[f35]) ).
fof(f78,plain,
( ( e2 != op(e0,e0)
& e2 != op(e0,e1)
& e2 != op(e0,e2)
& e2 != op(e0,e3) )
| ~ sP27 ),
inference(nnf_transformation,[],[f34]) ).
fof(f79,plain,
( ( e2 != op(e0,e0)
& e2 != op(e1,e0)
& e2 != op(e2,e0)
& e2 != op(e3,e0) )
| ~ sP26 ),
inference(nnf_transformation,[],[f33]) ).
fof(f80,plain,
( ( e3 != op(e0,e0)
& e3 != op(e0,e1)
& e3 != op(e0,e2)
& e3 != op(e0,e3) )
| ~ sP25 ),
inference(nnf_transformation,[],[f32]) ).
fof(f81,plain,
( ( e3 != op(e0,e0)
& e3 != op(e1,e0)
& e3 != op(e2,e0)
& e3 != op(e3,e0) )
| ~ sP24 ),
inference(nnf_transformation,[],[f31]) ).
fof(f82,plain,
( ( e0 != op(e1,e0)
& e0 != op(e1,e1)
& e0 != op(e1,e2)
& e0 != op(e1,e3) )
| ~ sP23 ),
inference(nnf_transformation,[],[f30]) ).
fof(f83,plain,
( ( e0 != op(e0,e1)
& e0 != op(e1,e1)
& e0 != op(e2,e1)
& e0 != op(e3,e1) )
| ~ sP22 ),
inference(nnf_transformation,[],[f29]) ).
fof(f84,plain,
( ( e1 != op(e1,e0)
& e1 != op(e1,e1)
& e1 != op(e1,e2)
& e1 != op(e1,e3) )
| ~ sP21 ),
inference(nnf_transformation,[],[f28]) ).
fof(f85,plain,
( ( e1 != op(e0,e1)
& e1 != op(e1,e1)
& e1 != op(e2,e1)
& e1 != op(e3,e1) )
| ~ sP20 ),
inference(nnf_transformation,[],[f27]) ).
fof(f86,plain,
( ( e2 != op(e1,e0)
& e2 != op(e1,e1)
& e2 != op(e1,e2)
& e2 != op(e1,e3) )
| ~ sP19 ),
inference(nnf_transformation,[],[f26]) ).
fof(f87,plain,
( ( e2 != op(e0,e1)
& e2 != op(e1,e1)
& e2 != op(e2,e1)
& e2 != op(e3,e1) )
| ~ sP18 ),
inference(nnf_transformation,[],[f25]) ).
fof(f88,plain,
( ( e3 != op(e1,e0)
& e3 != op(e1,e1)
& e3 != op(e1,e2)
& e3 != op(e1,e3) )
| ~ sP17 ),
inference(nnf_transformation,[],[f24]) ).
fof(f89,plain,
( ( e3 != op(e0,e1)
& e3 != op(e1,e1)
& e3 != op(e2,e1)
& e3 != op(e3,e1) )
| ~ sP16 ),
inference(nnf_transformation,[],[f23]) ).
fof(f90,plain,
( ( e0 != op(e2,e0)
& e0 != op(e2,e1)
& e0 != op(e2,e2)
& e0 != op(e2,e3) )
| ~ sP15 ),
inference(nnf_transformation,[],[f22]) ).
fof(f91,plain,
( ( e0 != op(e0,e2)
& e0 != op(e1,e2)
& e0 != op(e2,e2)
& e0 != op(e3,e2) )
| ~ sP14 ),
inference(nnf_transformation,[],[f21]) ).
fof(f92,plain,
( ( e1 != op(e2,e0)
& e1 != op(e2,e1)
& e1 != op(e2,e2)
& e1 != op(e2,e3) )
| ~ sP13 ),
inference(nnf_transformation,[],[f20]) ).
fof(f93,plain,
( ( e1 != op(e0,e2)
& e1 != op(e1,e2)
& e1 != op(e2,e2)
& e1 != op(e3,e2) )
| ~ sP12 ),
inference(nnf_transformation,[],[f19]) ).
fof(f94,plain,
( ( e2 != op(e2,e0)
& e2 != op(e2,e1)
& e2 != op(e2,e2)
& e2 != op(e2,e3) )
| ~ sP11 ),
inference(nnf_transformation,[],[f18]) ).
fof(f95,plain,
( ( e2 != op(e0,e2)
& e2 != op(e1,e2)
& e2 != op(e2,e2)
& e2 != op(e3,e2) )
| ~ sP10 ),
inference(nnf_transformation,[],[f17]) ).
fof(f96,plain,
( ( e3 != op(e2,e0)
& e3 != op(e2,e1)
& e3 != op(e2,e2)
& e3 != op(e2,e3) )
| ~ sP9 ),
inference(nnf_transformation,[],[f16]) ).
fof(f97,plain,
( ( e3 != op(e0,e2)
& e3 != op(e1,e2)
& e3 != op(e2,e2)
& e3 != op(e3,e2) )
| ~ sP8 ),
inference(nnf_transformation,[],[f15]) ).
fof(f98,plain,
( ( e0 != op(e3,e0)
& e0 != op(e3,e1)
& e0 != op(e3,e2)
& e0 != op(e3,e3) )
| ~ sP7 ),
inference(nnf_transformation,[],[f14]) ).
fof(f99,plain,
( ( e0 != op(e0,e3)
& e0 != op(e1,e3)
& e0 != op(e2,e3)
& e0 != op(e3,e3) )
| ~ sP6 ),
inference(nnf_transformation,[],[f13]) ).
fof(f100,plain,
( ( e1 != op(e3,e0)
& e1 != op(e3,e1)
& e1 != op(e3,e2)
& e1 != op(e3,e3) )
| ~ sP5 ),
inference(nnf_transformation,[],[f12]) ).
fof(f101,plain,
( ( e1 != op(e0,e3)
& e1 != op(e1,e3)
& e1 != op(e2,e3)
& e1 != op(e3,e3) )
| ~ sP4 ),
inference(nnf_transformation,[],[f11]) ).
fof(f102,plain,
( ( e2 != op(e3,e0)
& e2 != op(e3,e1)
& e2 != op(e3,e2)
& e2 != op(e3,e3) )
| ~ sP3 ),
inference(nnf_transformation,[],[f10]) ).
fof(f103,plain,
( ( e2 != op(e0,e3)
& e2 != op(e1,e3)
& e2 != op(e2,e3)
& e2 != op(e3,e3) )
| ~ sP2 ),
inference(nnf_transformation,[],[f9]) ).
fof(f104,plain,
( ( e3 != op(e3,e0)
& e3 != op(e3,e1)
& e3 != op(e3,e2)
& e3 != op(e3,e3) )
| ~ sP1 ),
inference(nnf_transformation,[],[f8]) ).
fof(f105,plain,
( ( e3 != op(e0,e3)
& e3 != op(e1,e3)
& e3 != op(e2,e3)
& e3 != op(e3,e3) )
| ~ sP0 ),
inference(nnf_transformation,[],[f7]) ).
fof(f109,plain,
( e0 != op(e0,e0)
| ~ sP48 ),
inference(cnf_transformation,[],[f57]) ).
fof(f112,plain,
( e1 != op(e0,e1)
| ~ sP47 ),
inference(cnf_transformation,[],[f58]) ).
fof(f115,plain,
( e2 != op(e0,e2)
| ~ sP46 ),
inference(cnf_transformation,[],[f59]) ).
fof(f118,plain,
( e3 != op(e0,e3)
| ~ sP45 ),
inference(cnf_transformation,[],[f60]) ).
fof(f124,plain,
( e1 != op(e1,e0)
| ~ sP44 ),
inference(cnf_transformation,[],[f61]) ).
fof(f129,plain,
( e0 != op(e1,e1)
| ~ sP43 ),
inference(cnf_transformation,[],[f62]) ).
fof(f130,plain,
( e3 != op(e1,e2)
| ~ sP42 ),
inference(cnf_transformation,[],[f63]) ).
fof(f135,plain,
( e2 != op(e1,e3)
| ~ sP41 ),
inference(cnf_transformation,[],[f64]) ).
fof(f139,plain,
( e2 != op(e2,e0)
| ~ sP40 ),
inference(cnf_transformation,[],[f65]) ).
fof(f142,plain,
( e3 != op(e2,e1)
| ~ sP39 ),
inference(cnf_transformation,[],[f66]) ).
fof(f149,plain,
( e0 != op(e2,e2)
| ~ sP38 ),
inference(cnf_transformation,[],[f67]) ).
fof(f152,plain,
( e1 != op(e2,e3)
| ~ sP37 ),
inference(cnf_transformation,[],[f68]) ).
fof(f154,plain,
( e3 != op(e3,e0)
| ~ sP36 ),
inference(cnf_transformation,[],[f69]) ).
fof(f159,plain,
( e2 != op(e3,e1)
| ~ sP35 ),
inference(cnf_transformation,[],[f70]) ).
fof(f164,plain,
( e1 != op(e3,e2)
| ~ sP34 ),
inference(cnf_transformation,[],[f71]) ).
fof(f169,plain,
( e0 != op(e3,e3)
| ~ sP33 ),
inference(cnf_transformation,[],[f72]) ).
fof(f173,plain,
( e0 != unit
| ~ sP32 ),
inference(cnf_transformation,[],[f73]) ).
fof(f177,plain,
( e0 != op(e0,e0)
| ~ sP31 ),
inference(cnf_transformation,[],[f74]) ).
fof(f181,plain,
( e0 != op(e0,e0)
| ~ sP30 ),
inference(cnf_transformation,[],[f75]) ).
fof(f184,plain,
( e1 != op(e0,e1)
| ~ sP29 ),
inference(cnf_transformation,[],[f76]) ).
fof(f188,plain,
( e1 != op(e1,e0)
| ~ sP28 ),
inference(cnf_transformation,[],[f77]) ).
fof(f191,plain,
( e2 != op(e0,e2)
| ~ sP27 ),
inference(cnf_transformation,[],[f78]) ).
fof(f195,plain,
( e2 != op(e2,e0)
| ~ sP26 ),
inference(cnf_transformation,[],[f79]) ).
fof(f198,plain,
( e3 != op(e0,e3)
| ~ sP25 ),
inference(cnf_transformation,[],[f80]) ).
fof(f202,plain,
( e3 != op(e3,e0)
| ~ sP24 ),
inference(cnf_transformation,[],[f81]) ).
fof(f208,plain,
( e0 != op(e1,e1)
| ~ sP23 ),
inference(cnf_transformation,[],[f82]) ).
fof(f212,plain,
( e0 != op(e1,e1)
| ~ sP22 ),
inference(cnf_transformation,[],[f83]) ).
fof(f217,plain,
( e1 != op(e1,e0)
| ~ sP21 ),
inference(cnf_transformation,[],[f84]) ).
fof(f221,plain,
( e1 != op(e0,e1)
| ~ sP20 ),
inference(cnf_transformation,[],[f85]) ).
fof(f222,plain,
( e2 != op(e1,e3)
| ~ sP19 ),
inference(cnf_transformation,[],[f86]) ).
fof(f226,plain,
( e2 != op(e3,e1)
| ~ sP18 ),
inference(cnf_transformation,[],[f87]) ).
fof(f231,plain,
( e3 != op(e1,e2)
| ~ sP17 ),
inference(cnf_transformation,[],[f88]) ).
fof(f235,plain,
( e3 != op(e2,e1)
| ~ sP16 ),
inference(cnf_transformation,[],[f89]) ).
fof(f239,plain,
( e0 != op(e2,e2)
| ~ sP15 ),
inference(cnf_transformation,[],[f90]) ).
fof(f243,plain,
( e0 != op(e2,e2)
| ~ sP14 ),
inference(cnf_transformation,[],[f91]) ).
fof(f246,plain,
( e1 != op(e2,e3)
| ~ sP13 ),
inference(cnf_transformation,[],[f92]) ).
fof(f250,plain,
( e1 != op(e3,e2)
| ~ sP12 ),
inference(cnf_transformation,[],[f93]) ).
fof(f257,plain,
( e2 != op(e2,e0)
| ~ sP11 ),
inference(cnf_transformation,[],[f94]) ).
fof(f261,plain,
( e2 != op(e0,e2)
| ~ sP10 ),
inference(cnf_transformation,[],[f95]) ).
fof(f264,plain,
( e3 != op(e2,e1)
| ~ sP9 ),
inference(cnf_transformation,[],[f96]) ).
fof(f268,plain,
( e3 != op(e1,e2)
| ~ sP8 ),
inference(cnf_transformation,[],[f97]) ).
fof(f270,plain,
( e0 != op(e3,e3)
| ~ sP7 ),
inference(cnf_transformation,[],[f98]) ).
fof(f274,plain,
( e0 != op(e3,e3)
| ~ sP6 ),
inference(cnf_transformation,[],[f99]) ).
fof(f279,plain,
( e1 != op(e3,e2)
| ~ sP5 ),
inference(cnf_transformation,[],[f100]) ).
fof(f283,plain,
( e1 != op(e2,e3)
| ~ sP4 ),
inference(cnf_transformation,[],[f101]) ).
fof(f288,plain,
( e2 != op(e3,e1)
| ~ sP3 ),
inference(cnf_transformation,[],[f102]) ).
fof(f292,plain,
( e2 != op(e1,e3)
| ~ sP2 ),
inference(cnf_transformation,[],[f103]) ).
fof(f297,plain,
( e3 != op(e3,e0)
| ~ sP1 ),
inference(cnf_transformation,[],[f104]) ).
fof(f301,plain,
( e3 != op(e0,e3)
| ~ sP0 ),
inference(cnf_transformation,[],[f105]) ).
fof(f305,plain,
( e0 != op(e0,e0)
| e0 != op(e1,e1)
| e0 != op(e2,e2)
| e0 != op(e3,e3)
| 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,[],[f56]) ).
fof(f312,plain,
e0 = op(e3,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f313,plain,
e1 = op(e3,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f314,plain,
e2 = op(e3,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f315,plain,
e3 = op(e3,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f316,plain,
e1 = op(e2,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f317,plain,
e0 = op(e2,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f318,plain,
e3 = op(e2,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f319,plain,
e2 = op(e2,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f320,plain,
e2 = op(e1,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f321,plain,
e3 = op(e1,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f322,plain,
e0 = op(e1,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f323,plain,
e1 = op(e1,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f324,plain,
e3 = op(e0,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f325,plain,
e2 = op(e0,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f326,plain,
e1 = op(e0,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f327,plain,
e0 = op(e0,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f328,plain,
e0 = unit,
inference(cnf_transformation,[],[f3]) ).
fof(f329,plain,
( unit != op(unit,unit)
| ~ sP48 ),
inference(definition_unfolding,[],[f109,f328,f328,f328]) ).
fof(f334,plain,
( e1 != op(unit,e1)
| ~ sP47 ),
inference(definition_unfolding,[],[f112,f328]) ).
fof(f339,plain,
( e2 != op(unit,e2)
| ~ sP46 ),
inference(definition_unfolding,[],[f115,f328]) ).
fof(f344,plain,
( e3 != op(unit,e3)
| ~ sP45 ),
inference(definition_unfolding,[],[f118,f328]) ).
fof(f346,plain,
( e1 != op(e1,unit)
| ~ sP44 ),
inference(definition_unfolding,[],[f124,f328]) ).
fof(f349,plain,
( op(e1,e1) != unit
| ~ sP43 ),
inference(definition_unfolding,[],[f129,f328]) ).
fof(f354,plain,
( e2 != op(e2,unit)
| ~ sP40 ),
inference(definition_unfolding,[],[f139,f328]) ).
fof(f357,plain,
( op(e2,e2) != unit
| ~ sP38 ),
inference(definition_unfolding,[],[f149,f328]) ).
fof(f362,plain,
( e3 != op(e3,unit)
| ~ sP36 ),
inference(definition_unfolding,[],[f154,f328]) ).
fof(f365,plain,
( op(e3,e3) != unit
| ~ sP33 ),
inference(definition_unfolding,[],[f169,f328]) ).
fof(f366,plain,
( unit != unit
| ~ sP32 ),
inference(definition_unfolding,[],[f173,f328]) ).
fof(f367,plain,
( unit != op(unit,unit)
| ~ sP31 ),
inference(definition_unfolding,[],[f177,f328,f328,f328]) ).
fof(f371,plain,
( unit != op(unit,unit)
| ~ sP30 ),
inference(definition_unfolding,[],[f181,f328,f328,f328]) ).
fof(f376,plain,
( e1 != op(unit,e1)
| ~ sP29 ),
inference(definition_unfolding,[],[f184,f328]) ).
fof(f380,plain,
( e1 != op(e1,unit)
| ~ sP28 ),
inference(definition_unfolding,[],[f188,f328]) ).
fof(f385,plain,
( e2 != op(unit,e2)
| ~ sP27 ),
inference(definition_unfolding,[],[f191,f328]) ).
fof(f389,plain,
( e2 != op(e2,unit)
| ~ sP26 ),
inference(definition_unfolding,[],[f195,f328]) ).
fof(f394,plain,
( e3 != op(unit,e3)
| ~ sP25 ),
inference(definition_unfolding,[],[f198,f328]) ).
fof(f398,plain,
( e3 != op(e3,unit)
| ~ sP24 ),
inference(definition_unfolding,[],[f202,f328]) ).
fof(f400,plain,
( op(e1,e1) != unit
| ~ sP23 ),
inference(definition_unfolding,[],[f208,f328]) ).
fof(f404,plain,
( op(e1,e1) != unit
| ~ sP22 ),
inference(definition_unfolding,[],[f212,f328]) ).
fof(f407,plain,
( e1 != op(e1,unit)
| ~ sP21 ),
inference(definition_unfolding,[],[f217,f328]) ).
fof(f408,plain,
( e1 != op(unit,e1)
| ~ sP20 ),
inference(definition_unfolding,[],[f221,f328]) ).
fof(f415,plain,
( op(e2,e2) != unit
| ~ sP15 ),
inference(definition_unfolding,[],[f239,f328]) ).
fof(f419,plain,
( op(e2,e2) != unit
| ~ sP14 ),
inference(definition_unfolding,[],[f243,f328]) ).
fof(f423,plain,
( e2 != op(e2,unit)
| ~ sP11 ),
inference(definition_unfolding,[],[f257,f328]) ).
fof(f424,plain,
( e2 != op(unit,e2)
| ~ sP10 ),
inference(definition_unfolding,[],[f261,f328]) ).
fof(f430,plain,
( op(e3,e3) != unit
| ~ sP7 ),
inference(definition_unfolding,[],[f270,f328]) ).
fof(f434,plain,
( op(e3,e3) != unit
| ~ sP6 ),
inference(definition_unfolding,[],[f274,f328]) ).
fof(f439,plain,
( e3 != op(e3,unit)
| ~ sP1 ),
inference(definition_unfolding,[],[f297,f328]) ).
fof(f440,plain,
( e3 != op(unit,e3)
| ~ sP0 ),
inference(definition_unfolding,[],[f301,f328]) ).
fof(f441,plain,
( unit != op(unit,unit)
| op(e1,e1) != unit
| op(e2,e2) != unit
| op(e3,e3) != unit
| sP48
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| unit != op(unit,unit)
| unit != op(unit,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_unfolding,[],[f305,f328,f328,f328,f328,f328,f328,f328,f328,f328,f328]) ).
fof(f448,plain,
unit = op(unit,unit),
inference(definition_unfolding,[],[f327,f328,f328,f328]) ).
fof(f449,plain,
e1 = op(unit,e1),
inference(definition_unfolding,[],[f326,f328]) ).
fof(f450,plain,
e2 = op(unit,e2),
inference(definition_unfolding,[],[f325,f328]) ).
fof(f451,plain,
e3 = op(unit,e3),
inference(definition_unfolding,[],[f324,f328]) ).
fof(f452,plain,
e1 = op(e1,unit),
inference(definition_unfolding,[],[f323,f328]) ).
fof(f453,plain,
op(e1,e1) = unit,
inference(definition_unfolding,[],[f322,f328]) ).
fof(f454,plain,
e2 = op(e2,unit),
inference(definition_unfolding,[],[f319,f328]) ).
fof(f455,plain,
op(e2,e2) = unit,
inference(definition_unfolding,[],[f317,f328]) ).
fof(f456,plain,
e3 = op(e3,unit),
inference(definition_unfolding,[],[f315,f328]) ).
fof(f457,plain,
op(e3,e3) = unit,
inference(definition_unfolding,[],[f312,f328]) ).
fof(f461,plain,
( unit != op(unit,unit)
| op(e1,e1) != unit
| op(e2,e2) != unit
| op(e3,e3) != unit
| sP48
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| 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(duplicate_literal_removal,[],[f441]) ).
fof(f462,plain,
~ sP32,
inference(trivial_inequality_removal,[],[f366]) ).
fof(f466,plain,
~ sP42,
inference(forward_subsumption_resolution,[],[f130,f321]) ).
fof(f468,plain,
~ sP41,
inference(forward_subsumption_resolution,[],[f135,f320]) ).
fof(f469,plain,
~ sP39,
inference(forward_subsumption_resolution,[],[f142,f318]) ).
fof(f475,plain,
~ sP37,
inference(forward_subsumption_resolution,[],[f152,f316]) ).
fof(f477,plain,
~ sP35,
inference(forward_subsumption_resolution,[],[f159,f314]) ).
fof(f480,plain,
~ sP34,
inference(forward_subsumption_resolution,[],[f164,f313]) ).
fof(f490,plain,
~ sP19,
inference(forward_subsumption_resolution,[],[f222,f320]) ).
fof(f491,plain,
~ sP18,
inference(forward_subsumption_resolution,[],[f226,f314]) ).
fof(f493,plain,
~ sP17,
inference(forward_subsumption_resolution,[],[f231,f321]) ).
fof(f495,plain,
~ sP16,
inference(forward_subsumption_resolution,[],[f235,f318]) ).
fof(f496,plain,
~ sP13,
inference(forward_subsumption_resolution,[],[f246,f316]) ).
fof(f497,plain,
~ sP12,
inference(forward_subsumption_resolution,[],[f250,f313]) ).
fof(f506,plain,
~ sP9,
inference(forward_subsumption_resolution,[],[f264,f318]) ).
fof(f509,plain,
~ sP8,
inference(forward_subsumption_resolution,[],[f268,f321]) ).
fof(f511,plain,
~ sP5,
inference(forward_subsumption_resolution,[],[f279,f313]) ).
fof(f513,plain,
~ sP4,
inference(forward_subsumption_resolution,[],[f283,f316]) ).
fof(f516,plain,
~ sP3,
inference(forward_subsumption_resolution,[],[f288,f314]) ).
fof(f519,plain,
~ sP2,
inference(forward_subsumption_resolution,[],[f292,f320]) ).
fof(f526,plain,
~ sP48,
inference(forward_subsumption_resolution,[],[f329,f448]) ).
fof(f528,plain,
~ sP47,
inference(forward_subsumption_resolution,[],[f334,f449]) ).
fof(f531,plain,
~ sP46,
inference(forward_subsumption_resolution,[],[f339,f450]) ).
fof(f535,plain,
~ sP45,
inference(forward_subsumption_resolution,[],[f344,f451]) ).
fof(f537,plain,
~ sP44,
inference(forward_subsumption_resolution,[],[f346,f452]) ).
fof(f538,plain,
~ sP43,
inference(forward_subsumption_resolution,[],[f349,f453]) ).
fof(f541,plain,
~ sP40,
inference(forward_subsumption_resolution,[],[f354,f454]) ).
fof(f542,plain,
~ sP38,
inference(forward_subsumption_resolution,[],[f357,f455]) ).
fof(f546,plain,
~ sP36,
inference(forward_subsumption_resolution,[],[f362,f456]) ).
fof(f547,plain,
~ sP33,
inference(forward_subsumption_resolution,[],[f365,f457]) ).
fof(f548,plain,
~ sP31,
inference(forward_subsumption_resolution,[],[f367,f448]) ).
fof(f549,plain,
~ sP30,
inference(forward_subsumption_resolution,[],[f371,f448]) ).
fof(f551,plain,
~ sP29,
inference(forward_subsumption_resolution,[],[f376,f449]) ).
fof(f553,plain,
~ sP28,
inference(forward_subsumption_resolution,[],[f380,f452]) ).
fof(f556,plain,
~ sP27,
inference(forward_subsumption_resolution,[],[f385,f450]) ).
fof(f559,plain,
~ sP26,
inference(forward_subsumption_resolution,[],[f389,f454]) ).
fof(f563,plain,
~ sP25,
inference(forward_subsumption_resolution,[],[f394,f451]) ).
fof(f567,plain,
~ sP24,
inference(forward_subsumption_resolution,[],[f398,f456]) ).
fof(f569,plain,
~ sP23,
inference(forward_subsumption_resolution,[],[f400,f453]) ).
fof(f571,plain,
~ sP22,
inference(forward_subsumption_resolution,[],[f404,f453]) ).
fof(f572,plain,
~ sP21,
inference(forward_subsumption_resolution,[],[f407,f452]) ).
fof(f573,plain,
~ sP20,
inference(forward_subsumption_resolution,[],[f408,f449]) ).
fof(f576,plain,
~ sP15,
inference(forward_subsumption_resolution,[],[f415,f455]) ).
fof(f579,plain,
~ sP14,
inference(forward_subsumption_resolution,[],[f419,f455]) ).
fof(f580,plain,
~ sP11,
inference(forward_subsumption_resolution,[],[f423,f454]) ).
fof(f581,plain,
~ sP10,
inference(forward_subsumption_resolution,[],[f424,f450]) ).
fof(f585,plain,
~ sP7,
inference(forward_subsumption_resolution,[],[f430,f457]) ).
fof(f589,plain,
~ sP6,
inference(forward_subsumption_resolution,[],[f434,f457]) ).
fof(f590,plain,
~ sP1,
inference(forward_subsumption_resolution,[],[f439,f456]) ).
fof(f591,plain,
~ sP0,
inference(forward_subsumption_resolution,[],[f440,f451]) ).
fof(f592,plain,
( op(e1,e1) != unit
| op(e2,e2) != unit
| op(e3,e3) != unit
| sP48
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| 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(forward_subsumption_resolution,[],[f461,f448]) ).
fof(f593,plain,
( op(e2,e2) != unit
| op(e3,e3) != unit
| sP48
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| 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(forward_subsumption_resolution,[],[f592,f453]) ).
fof(f594,plain,
( op(e3,e3) != unit
| sP48
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| 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(forward_subsumption_resolution,[],[f593,f455]) ).
fof(f595,plain,
( sP48
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| 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(forward_subsumption_resolution,[],[f594,f457]) ).
fof(f596,plain,
( sP47
| sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| 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(forward_subsumption_resolution,[],[f595,f526]) ).
fof(f597,plain,
( sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| 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(forward_subsumption_resolution,[],[f596,f528]) ).
fof(f598,plain,
( sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| 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(forward_subsumption_resolution,[],[f597,f531]) ).
fof(f599,plain,
( sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| 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(forward_subsumption_resolution,[],[f598,f535]) ).
fof(f600,plain,
( sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| 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(forward_subsumption_resolution,[],[f599,f537]) ).
fof(f601,plain,
( sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| 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(forward_subsumption_resolution,[],[f600,f538]) ).
fof(f602,plain,
( sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| 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(forward_subsumption_resolution,[],[f601,f466]) ).
fof(f603,plain,
( sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| 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(forward_subsumption_resolution,[],[f602,f468]) ).
fof(f604,plain,
( sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| 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(forward_subsumption_resolution,[],[f603,f541]) ).
fof(f605,plain,
( sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| 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(forward_subsumption_resolution,[],[f604,f469]) ).
fof(f606,plain,
( sP37
| sP36
| sP35
| sP34
| sP33
| 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(forward_subsumption_resolution,[],[f605,f542]) ).
fof(f607,plain,
( sP36
| sP35
| sP34
| sP33
| 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(forward_subsumption_resolution,[],[f606,f475]) ).
fof(f608,plain,
( sP35
| sP34
| sP33
| 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(forward_subsumption_resolution,[],[f607,f546]) ).
fof(f609,plain,
( sP34
| sP33
| 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(forward_subsumption_resolution,[],[f608,f477]) ).
fof(f610,plain,
( sP33
| 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(forward_subsumption_resolution,[],[f609,f480]) ).
fof(f611,plain,
( 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(forward_subsumption_resolution,[],[f610,f547]) ).
fof(f612,plain,
( 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(forward_subsumption_resolution,[],[f611,f449]) ).
fof(f613,plain,
( 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(forward_subsumption_resolution,[],[f612,f452]) ).
fof(f614,plain,
( 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(forward_subsumption_resolution,[],[f613,f450]) ).
fof(f615,plain,
( 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(forward_subsumption_resolution,[],[f614,f454]) ).
fof(f616,plain,
( 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(forward_subsumption_resolution,[],[f615,f451]) ).
fof(f617,plain,
( 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(forward_subsumption_resolution,[],[f616,f456]) ).
fof(f618,plain,
( 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(forward_subsumption_resolution,[],[f617,f462]) ).
fof(f619,plain,
( 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(forward_subsumption_resolution,[],[f618,f548]) ).
fof(f620,plain,
( 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(forward_subsumption_resolution,[],[f619,f549]) ).
fof(f621,plain,
( 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(forward_subsumption_resolution,[],[f620,f551]) ).
fof(f622,plain,
( 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(forward_subsumption_resolution,[],[f621,f553]) ).
fof(f623,plain,
( 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(forward_subsumption_resolution,[],[f622,f556]) ).
fof(f624,plain,
( 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(forward_subsumption_resolution,[],[f623,f559]) ).
fof(f625,plain,
( sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(forward_subsumption_resolution,[],[f624,f563]) ).
fof(f626,plain,
( 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(forward_subsumption_resolution,[],[f625,f567]) ).
fof(f627,plain,
( sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(forward_subsumption_resolution,[],[f626,f569]) ).
fof(f628,plain,
( sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(forward_subsumption_resolution,[],[f627,f571]) ).
fof(f629,plain,
( sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(forward_subsumption_resolution,[],[f628,f572]) ).
fof(f630,plain,
( sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(forward_subsumption_resolution,[],[f629,f573]) ).
fof(f631,plain,
( sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(forward_subsumption_resolution,[],[f630,f490]) ).
fof(f632,plain,
( sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(forward_subsumption_resolution,[],[f631,f491]) ).
fof(f633,plain,
( sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(forward_subsumption_resolution,[],[f632,f493]) ).
fof(f634,plain,
( sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(forward_subsumption_resolution,[],[f633,f495]) ).
fof(f635,plain,
( sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(forward_subsumption_resolution,[],[f634,f576]) ).
fof(f636,plain,
( sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(forward_subsumption_resolution,[],[f635,f579]) ).
fof(f637,plain,
( sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(forward_subsumption_resolution,[],[f636,f496]) ).
fof(f638,plain,
( sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(forward_subsumption_resolution,[],[f637,f497]) ).
fof(f639,plain,
( sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(forward_subsumption_resolution,[],[f638,f580]) ).
fof(f640,plain,
( sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(forward_subsumption_resolution,[],[f639,f581]) ).
fof(f641,plain,
( sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(forward_subsumption_resolution,[],[f640,f506]) ).
fof(f642,plain,
( sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(forward_subsumption_resolution,[],[f641,f509]) ).
fof(f643,plain,
( sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(forward_subsumption_resolution,[],[f642,f585]) ).
fof(f644,plain,
( sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(forward_subsumption_resolution,[],[f643,f589]) ).
fof(f645,plain,
( sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(forward_subsumption_resolution,[],[f644,f511]) ).
fof(f646,plain,
( sP3
| sP2
| sP1
| sP0 ),
inference(forward_subsumption_resolution,[],[f645,f513]) ).
fof(f647,plain,
( sP2
| sP1
| sP0 ),
inference(forward_subsumption_resolution,[],[f646,f516]) ).
fof(f648,plain,
( sP1
| sP0 ),
inference(forward_subsumption_resolution,[],[f647,f519]) ).
fof(f649,plain,
sP0,
inference(forward_subsumption_resolution,[],[f648,f590]) ).
fof(f650,plain,
$false,
inference(forward_subsumption_resolution,[],[f649,f591]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG043+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n011.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 19:20:16 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 3.09/1.07 % (3687638)Detected formulas, will run a generic FOF schedule.
% 3.09/1.07 % (3687675)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=1119885708:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.09/1.07 % (3687681)dis-21_1_sil=8000:lcm=predicate:random_seed=482602367: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)
% 3.09/1.07 % (3687679)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3135686039:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.09/1.07 % (3687678)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2160382719:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.09/1.07 % (3687677)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=305163979:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.09/1.07 % (3687676)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=4054683996:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.09/1.07 % (3687680)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2208921201:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.09/1.07 % (3687679)First to succeed.
% 3.09/1.07 % (3687680)Also succeeded, but the first one will report.
% 3.09/1.07 % (3687681)Also succeeded, but the first one will report.
% 3.09/1.07 % (3687679)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3687638"
% 3.09/1.07 % (3687678)Refutation not found, incomplete strategy
% 3.09/1.07 % (3687678)------------------------------
% 3.09/1.07 % (3687678)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.09/1.07 % (3687678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/1.07 % (3687678)CaDiCaL version: 2.1.3
% 3.09/1.07 % (3687678)Termination reason: Refutation not found, incomplete strategy
% 3.09/1.07 % (3687678)Time elapsed: 0.016 s
% 3.09/1.07 % (3687678)Peak memory usage: 89 MB
% 3.09/1.07 % (3687678)Instructions burned: 32 (million)
% 3.09/1.07 [W928 19:20:17.083967089 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.
% 3.09/1.07 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.09/1.07 [W928 19:20:17.084011824 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.
% 3.09/1.07 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.09/1.07 [W928 19:20:17.084039562 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.
% 3.09/1.07 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.09/1.07 [W928 19:20:17.084046214 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.
% 3.09/1.07 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.09/1.07 [W928 19:20:17.084059639 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.
% 3.09/1.07 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.09/1.07 [W928 19:20:17.084066669 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.
% 3.09/1.07 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.09/1.07 % (3687678)------------------------------
% 3.09/1.07 % (3687678)------------------------------
% 3.09/1.07 % (3687679)Refutation found. Thanks to Tanya!
% 3.09/1.07 % SZS status Theorem for theBenchmark
% 3.09/1.07 % SZS output start Proof for theBenchmark
% See solution above
% 3.49/1.16 % (3687679)------------------------------
% 3.49/1.16 % (3687679)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.16 % (3687679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.16 % (3687679)CaDiCaL version: 2.1.3
% 3.49/1.16 % (3687679)Termination reason: Refutation
% 3.49/1.16 % (3687679)Time elapsed: 0.014 s
% 3.49/1.16 % (3687679)Peak memory usage: 88 MB
% 3.49/1.16 % (3687679)Instructions burned: 31 (million)
% 3.49/1.16 % (3687679)------------------------------
% 3.49/1.16 % (3687679)------------------------------
% 3.49/1.16 % (3687638)Success in time 0.419 s
% 3.49/1.16 % Vampire exiting
%------------------------------------------------------------------------------