%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG134+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 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 : Thu Sep 24 11:48:33 AM UTC 2026
% Result : Unsatisfiable 135.63s 32.58s
% Output : CNFRefutation 135.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 307
% Syntax : Number of formulae : 2704 ( 65 unt; 278 def)
% Number of atoms : 11751 (6046 equ)
% Maximal formula atoms : 304 ( 4 avg)
% Number of connectives : 16104 (7057 ~;6230 |;2467 &)
% ( 350 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 280 ( 278 usr; 279 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 )
& ( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 )
& ( op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 )
& ( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 )
& ( op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 )
& ( op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 )
& ( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 )
& ( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 )
& ( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 )
& ( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 )
& ( op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 )
& ( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 )
& ( op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 )
& ( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 )
& ( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 )
& ( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
( ( op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 )
& ( op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 )
& ( op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 )
& ( op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 )
& ( op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 )
& ( op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 )
& ( op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 )
& ( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 )
& ( op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 )
& ( op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 )
& ( op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 )
& ( op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 )
& ( op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 )
& ( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 )
& ( op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 )
& ( op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 )
& ( op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 )
& ( op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 )
& ( op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 )
& ( op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 )
& ( op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 )
& ( op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 )
& ( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 )
& ( op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 )
& ( op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 )
& ( op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 )
& ( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 )
& ( op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 )
& ( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 )
& ( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 )
& ( op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 )
& ( op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
( op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( e2 != e3
& e1 != e3
& e1 != e2
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( ( ( ~ ( ( ( op(e3,e3) = e3
& op(e3,e3) = e3 )
| ( op(e3,e3) = e2
& op(e3,e3) = e2 )
| ( op(e3,e3) = e1
& op(e3,e3) = e1 )
| ( op(e3,e3) = e0
& op(e3,e3) = e0 ) )
& op(e3,e3) = e3 )
& op(e3,e3) = e3 )
| ( ~ ( ( ( op(e2,e3) = e3
& op(e3,e2) = e3 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2 )
| ( op(e2,e3) = e1
& op(e3,e2) = e1 )
| ( op(e2,e3) = e0
& op(e3,e2) = e0 ) )
& op(e3,e3) = e2 )
& op(e3,e3) = e2 )
| ( ~ ( ( ( op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( op(e1,e3) = e2
& op(e3,e1) = e2 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1 )
| ( op(e1,e3) = e0
& op(e3,e1) = e0 ) )
& op(e3,e3) = e1 )
& op(e3,e3) = e1 )
| ( ~ ( ( ( op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e0,e3) = e2
& op(e3,e0) = e2 )
| ( op(e0,e3) = e1
& op(e3,e0) = e1 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0 ) )
& op(e3,e3) = e0 )
& op(e3,e3) = e0 )
| ( ~ ( ( ( op(e3,e2) = e3
& op(e2,e3) = e3 )
| ( op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e2) = e1
& op(e2,e3) = e1 )
| ( op(e3,e2) = e0
& op(e2,e3) = e0 ) )
& op(e2,e2) = e3 )
& op(e2,e2) = e3 )
| ( ~ ( ( ( op(e2,e2) = e3
& op(e2,e2) = e3 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e2) = e1
& op(e2,e2) = e1 )
| ( op(e2,e2) = e0
& op(e2,e2) = e0 ) )
& op(e2,e2) = e2 )
& op(e2,e2) = e2 )
| ( ~ ( ( ( op(e1,e2) = e3
& op(e2,e1) = e3 )
| ( op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1 )
| ( op(e1,e2) = e0
& op(e2,e1) = e0 ) )
& op(e2,e2) = e1 )
& op(e2,e2) = e1 )
| ( ~ ( ( ( op(e0,e2) = e3
& op(e2,e0) = e3 )
| ( op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e0,e2) = e1
& op(e2,e0) = e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0 ) )
& op(e2,e2) = e0 )
& op(e2,e2) = e0 )
| ( ~ ( ( ( op(e3,e1) = e3
& op(e1,e3) = e3 )
| ( op(e3,e1) = e2
& op(e1,e3) = e2 )
| ( op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e1) = e0
& op(e1,e3) = e0 ) )
& op(e1,e1) = e3 )
& op(e1,e1) = e3 )
| ( ~ ( ( ( op(e2,e1) = e3
& op(e1,e2) = e3 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2 )
| ( op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e1) = e0
& op(e1,e2) = e0 ) )
& op(e1,e1) = e2 )
& op(e1,e1) = e2 )
| ( ~ ( ( ( op(e1,e1) = e3
& op(e1,e1) = e3 )
| ( op(e1,e1) = e2
& op(e1,e1) = e2 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e1) = e0
& op(e1,e1) = e0 ) )
& op(e1,e1) = e1 )
& op(e1,e1) = e1 )
| ( ~ ( ( ( op(e0,e1) = e3
& op(e1,e0) = e3 )
| ( op(e0,e1) = e2
& op(e1,e0) = e2 )
| ( op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0 ) )
& op(e1,e1) = e0 )
& op(e1,e1) = e0 )
| ( ~ ( ( ( op(e3,e0) = e3
& op(e0,e3) = e3 )
| ( op(e3,e0) = e2
& op(e0,e3) = e2 )
| ( op(e3,e0) = e1
& op(e0,e3) = e1 )
| ( op(e3,e0) = e0
& op(e0,e3) = e0 ) )
& op(e0,e0) = e3 )
& op(e0,e0) = e3 )
| ( ~ ( ( ( op(e2,e0) = e3
& op(e0,e2) = e3 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2 )
| ( op(e2,e0) = e1
& op(e0,e2) = e1 )
| ( op(e2,e0) = e0
& op(e0,e2) = e0 ) )
& op(e0,e0) = e2 )
& op(e0,e0) = e2 )
| ( ~ ( ( ( op(e1,e0) = e3
& op(e0,e1) = e3 )
| ( op(e1,e0) = e2
& op(e0,e1) = e2 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1 )
| ( op(e1,e0) = e0
& op(e0,e1) = e0 ) )
& op(e0,e0) = e1 )
& op(e0,e0) = e1 )
| ( ~ ( ( ( op(e0,e0) = e3
& op(e0,e0) = e3 )
| ( op(e0,e0) = e2
& op(e0,e0) = e2 )
| ( op(e0,e0) = e1
& op(e0,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0 ) )
& op(e0,e0) = e0 )
& op(e0,e0) = e0 ) )
& ( ( op(e3,op(e3,e3)) = e3
& op(e3,e3) != op(e3,e3)
& op(e3,e3) = op(e3,e3) )
| ( op(e2,op(e3,e2)) = e2
& op(e2,e2) != op(e3,e2)
& op(e2,e3) = op(e3,e2) )
| ( op(e1,op(e3,e1)) = e1
& op(e1,e1) != op(e3,e1)
& op(e1,e3) = op(e3,e1) )
| ( op(e0,op(e3,e0)) = e0
& op(e0,e0) != op(e3,e0)
& op(e0,e3) = op(e3,e0) )
| ( op(e3,op(e2,e3)) = e3
& op(e3,e3) != op(e2,e3)
& op(e3,e2) = op(e2,e3) )
| ( op(e2,op(e2,e2)) = e2
& op(e2,e2) != op(e2,e2)
& op(e2,e2) = op(e2,e2) )
| ( op(e1,op(e2,e1)) = e1
& op(e1,e1) != op(e2,e1)
& op(e1,e2) = op(e2,e1) )
| ( op(e0,op(e2,e0)) = e0
& op(e0,e0) != op(e2,e0)
& op(e0,e2) = op(e2,e0) )
| ( op(e3,op(e1,e3)) = e3
& op(e3,e3) != op(e1,e3)
& op(e3,e1) = op(e1,e3) )
| ( op(e2,op(e1,e2)) = e2
& op(e2,e2) != op(e1,e2)
& op(e2,e1) = op(e1,e2) )
| ( op(e1,op(e1,e1)) = e1
& op(e1,e1) != op(e1,e1)
& op(e1,e1) = op(e1,e1) )
| ( op(e0,op(e1,e0)) = e0
& op(e0,e0) != op(e1,e0)
& op(e0,e1) = op(e1,e0) )
| ( op(e3,op(e0,e3)) = e3
& op(e3,e3) != op(e0,e3)
& op(e3,e0) = op(e0,e3) )
| ( op(e2,op(e0,e2)) = e2
& op(e2,e2) != op(e0,e2)
& op(e2,e0) = op(e0,e2) )
| ( op(e1,op(e0,e1)) = e1
& op(e1,e1) != op(e0,e1)
& op(e1,e0) = op(e0,e1) )
| ( op(e0,op(e0,e0)) = e0
& op(e0,e0) != op(e0,e0)
& op(e0,e0) = op(e0,e0) ) )
& ( ( op(e3,e3) != e3
& op(e2,e3) != e2
& op(e1,e3) != e1
& op(e0,e3) != e0
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| ( op(e3,e3) != e3
& op(e2,e3) != e2
& op(e1,e3) != e1
& op(e0,e3) != e0
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| ( op(e3,e3) != e3
& op(e2,e3) != e2
& op(e1,e3) != e1
& op(e0,e3) != e0
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( op(e3,e3) != e3
& op(e2,e3) != e2
& op(e1,e3) != e1
& op(e0,e3) != e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e3,e2) != e3
& op(e2,e2) != e2
& op(e1,e2) != e1
& op(e0,e2) != e0
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e2) != e3
& op(e2,e2) != e2
& op(e1,e2) != e1
& op(e0,e2) != e0
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e3,e2) != e3
& op(e2,e2) != e2
& op(e1,e2) != e1
& op(e0,e2) != e0
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e3,e2) != e3
& op(e2,e2) != e2
& op(e1,e2) != e1
& op(e0,e2) != e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
~ ( e3 = op(e0,op(e0,e0))
& e2 = op(op(e0,op(e0,e0)),e0)
& e1 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
~ ( e2 = op(e0,op(e0,e0))
& e3 = op(op(e0,op(e0,e0)),e0)
& e1 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
~ ( e3 = op(e0,op(e0,e0))
& e1 = op(op(e0,op(e0,e0)),e0)
& e2 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
~ ( e1 = op(e0,op(e0,e0))
& e3 = op(op(e0,op(e0,e0)),e0)
& e2 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
~ ( e2 = op(e0,op(e0,e0))
& e1 = op(op(e0,op(e0,e0)),e0)
& e3 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
~ ( e1 = op(e0,op(e0,e0))
& e2 = op(op(e0,op(e0,e0)),e0)
& e3 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
~ ( e3 = op(e1,op(e1,e1))
& e2 = op(op(e1,op(e1,e1)),e1)
& e0 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
~ ( e2 = op(e1,op(e1,e1))
& e3 = op(op(e1,op(e1,e1)),e1)
& e0 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
~ ( e3 = op(e1,op(e1,e1))
& e0 = op(op(e1,op(e1,e1)),e1)
& e2 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
~ ( e0 = op(e1,op(e1,e1))
& e3 = op(op(e1,op(e1,e1)),e1)
& e2 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
~ ( e2 = op(e1,op(e1,e1))
& e0 = op(op(e1,op(e1,e1)),e1)
& e3 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
~ ( e0 = op(e1,op(e1,e1))
& e2 = op(op(e1,op(e1,e1)),e1)
& e3 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
~ ( e3 = op(e2,op(e2,e2))
& e1 = op(op(e2,op(e2,e2)),e2)
& e0 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
~ ( e1 = op(e2,op(e2,e2))
& e3 = op(op(e2,op(e2,e2)),e2)
& e0 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
~ ( e3 = op(e2,op(e2,e2))
& e0 = op(op(e2,op(e2,e2)),e2)
& e1 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
~ ( e0 = op(e2,op(e2,e2))
& e3 = op(op(e2,op(e2,e2)),e2)
& e1 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
~ ( e1 = op(e2,op(e2,e2))
& e0 = op(op(e2,op(e2,e2)),e2)
& e3 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
~ ( e0 = op(e2,op(e2,e2))
& e1 = op(op(e2,op(e2,e2)),e2)
& e3 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
~ ( e2 = op(e3,op(e3,e3))
& e1 = op(op(e3,op(e3,e3)),e3)
& e0 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
~ ( e1 = op(e3,op(e3,e3))
& e2 = op(op(e3,op(e3,e3)),e3)
& e0 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
~ ( e2 = op(e3,op(e3,e3))
& e0 = op(op(e3,op(e3,e3)),e3)
& e1 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
~ ( e0 = op(e3,op(e3,e3))
& e2 = op(op(e3,op(e3,e3)),e3)
& e1 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
~ ( e1 = op(e3,op(e3,e3))
& e0 = op(op(e3,op(e3,e3)),e3)
& e2 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
~ ( e0 = op(e3,op(e3,e3))
& e1 = op(op(e3,op(e3,e3)),e3)
& e2 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,plain,
( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f31,plain,
( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f32,plain,
( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f33,plain,
( op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f34,plain,
( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f35,plain,
( op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f36,plain,
( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f37,plain,
( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f38,plain,
( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f39,plain,
( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f40,plain,
( op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f41,plain,
( op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f42,plain,
( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f43,plain,
( op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f44,plain,
( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f45,plain,
( op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f46,plain,
( op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f47,plain,
( op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f48,plain,
( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f49,plain,
( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f50,plain,
( op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f51,plain,
( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f52,plain,
( op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f53,plain,
( op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f54,plain,
( op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f55,plain,
( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f56,plain,
( op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f57,plain,
( op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f58,plain,
( op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f59,plain,
( op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f60,plain,
( op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f61,plain,
( op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f62,plain,
( op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f63,plain,
( op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f64,plain,
( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f65,plain,
( op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f66,plain,
( op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f67,plain,
( op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f68,plain,
( op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f69,plain,
( op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f70,plain,
( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f71,plain,
( op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f72,plain,
( op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f73,plain,
( op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f74,plain,
( op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f75,plain,
( op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f76,plain,
( op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f77,plain,
( op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f78,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f79,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f80,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f81,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f82,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f83,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f84,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f85,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f86,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f87,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f88,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f89,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f90,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f91,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f92,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f93,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f94,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f95,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f96,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f97,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f98,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f99,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f100,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f101,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f102,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f103,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f104,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f105,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f106,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f107,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f108,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f109,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f110,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f111,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f112,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f113,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f114,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f115,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f116,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f117,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f118,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f119,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f120,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f121,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f122,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f123,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f124,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f125,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f126,plain,
e0 != e1,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f127,plain,
e0 != e2,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f128,plain,
e0 != e3,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f129,plain,
e1 != e2,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f130,plain,
e1 != e3,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f131,plain,
e2 != e3,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f132,plain,
( ( ( ( ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e3) != e2 )
& ( op(e3,e3) != e1
| op(e3,e3) != e1 )
& ( op(e3,e3) != e0
| op(e3,e3) != e0 ) )
| op(e3,e3) != e3 )
& op(e3,e3) = e3 )
| ( ( ( ( op(e2,e3) != e3
| op(e3,e2) != e3 )
& ( op(e2,e3) != e2
| op(e3,e2) != e2 )
& ( op(e2,e3) != e1
| op(e3,e2) != e1 )
& ( op(e2,e3) != e0
| op(e3,e2) != e0 ) )
| op(e3,e3) != e2 )
& op(e3,e3) = e2 )
| ( ( ( ( op(e1,e3) != e3
| op(e3,e1) != e3 )
& ( op(e1,e3) != e2
| op(e3,e1) != e2 )
& ( op(e1,e3) != e1
| op(e3,e1) != e1 )
& ( op(e1,e3) != e0
| op(e3,e1) != e0 ) )
| op(e3,e3) != e1 )
& op(e3,e3) = e1 )
| ( ( ( ( op(e0,e3) != e3
| op(e3,e0) != e3 )
& ( op(e0,e3) != e2
| op(e3,e0) != e2 )
& ( op(e0,e3) != e1
| op(e3,e0) != e1 )
& ( op(e0,e3) != e0
| op(e3,e0) != e0 ) )
| op(e3,e3) != e0 )
& op(e3,e3) = e0 )
| ( ( ( ( op(e3,e2) != e3
| op(e2,e3) != e3 )
& ( op(e3,e2) != e2
| op(e2,e3) != e2 )
& ( op(e3,e2) != e1
| op(e2,e3) != e1 )
& ( op(e3,e2) != e0
| op(e2,e3) != e0 ) )
| op(e2,e2) != e3 )
& op(e2,e2) = e3 )
| ( ( ( ( op(e2,e2) != e3
| op(e2,e2) != e3 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e2) != e1 )
& ( op(e2,e2) != e0
| op(e2,e2) != e0 ) )
| op(e2,e2) != e2 )
& op(e2,e2) = e2 )
| ( ( ( ( op(e1,e2) != e3
| op(e2,e1) != e3 )
& ( op(e1,e2) != e2
| op(e2,e1) != e2 )
& ( op(e1,e2) != e1
| op(e2,e1) != e1 )
& ( op(e1,e2) != e0
| op(e2,e1) != e0 ) )
| op(e2,e2) != e1 )
& op(e2,e2) = e1 )
| ( ( ( ( op(e0,e2) != e3
| op(e2,e0) != e3 )
& ( op(e0,e2) != e2
| op(e2,e0) != e2 )
& ( op(e0,e2) != e1
| op(e2,e0) != e1 )
& ( op(e0,e2) != e0
| op(e2,e0) != e0 ) )
| op(e2,e2) != e0 )
& op(e2,e2) = e0 )
| ( ( ( ( op(e3,e1) != e3
| op(e1,e3) != e3 )
& ( op(e3,e1) != e2
| op(e1,e3) != e2 )
& ( op(e3,e1) != e1
| op(e1,e3) != e1 )
& ( op(e3,e1) != e0
| op(e1,e3) != e0 ) )
| op(e1,e1) != e3 )
& op(e1,e1) = e3 )
| ( ( ( ( op(e2,e1) != e3
| op(e1,e2) != e3 )
& ( op(e2,e1) != e2
| op(e1,e2) != e2 )
& ( op(e2,e1) != e1
| op(e1,e2) != e1 )
& ( op(e2,e1) != e0
| op(e1,e2) != e0 ) )
| op(e1,e1) != e2 )
& op(e1,e1) = e2 )
| ( ( ( ( op(e1,e1) != e3
| op(e1,e1) != e3 )
& ( op(e1,e1) != e2
| op(e1,e1) != e2 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e1) != e0 ) )
| op(e1,e1) != e1 )
& op(e1,e1) = e1 )
| ( ( ( ( op(e0,e1) != e3
| op(e1,e0) != e3 )
& ( op(e0,e1) != e2
| op(e1,e0) != e2 )
& ( op(e0,e1) != e1
| op(e1,e0) != e1 )
& ( op(e0,e1) != e0
| op(e1,e0) != e0 ) )
| op(e1,e1) != e0 )
& op(e1,e1) = e0 )
| ( ( ( ( op(e3,e0) != e3
| op(e0,e3) != e3 )
& ( op(e3,e0) != e2
| op(e0,e3) != e2 )
& ( op(e3,e0) != e1
| op(e0,e3) != e1 )
& ( op(e3,e0) != e0
| op(e0,e3) != e0 ) )
| op(e0,e0) != e3 )
& op(e0,e0) = e3 )
| ( ( ( ( op(e2,e0) != e3
| op(e0,e2) != e3 )
& ( op(e2,e0) != e2
| op(e0,e2) != e2 )
& ( op(e2,e0) != e1
| op(e0,e2) != e1 )
& ( op(e2,e0) != e0
| op(e0,e2) != e0 ) )
| op(e0,e0) != e2 )
& op(e0,e0) = e2 )
| ( ( ( ( op(e1,e0) != e3
| op(e0,e1) != e3 )
& ( op(e1,e0) != e2
| op(e0,e1) != e2 )
& ( op(e1,e0) != e1
| op(e0,e1) != e1 )
& ( op(e1,e0) != e0
| op(e0,e1) != e0 ) )
| op(e0,e0) != e1 )
& op(e0,e0) = e1 )
| ( ( ( ( op(e0,e0) != e3
| op(e0,e0) != e3 )
& ( op(e0,e0) != e2
| op(e0,e0) != e2 )
& ( op(e0,e0) != e1
| op(e0,e0) != e1 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 ) )
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) )
& ( ( op(e3,op(e3,e3)) = e3
& op(e3,e3) != op(e3,e3)
& op(e3,e3) = op(e3,e3) )
| ( op(e2,op(e3,e2)) = e2
& op(e2,e2) != op(e3,e2)
& op(e2,e3) = op(e3,e2) )
| ( op(e1,op(e3,e1)) = e1
& op(e1,e1) != op(e3,e1)
& op(e1,e3) = op(e3,e1) )
| ( op(e0,op(e3,e0)) = e0
& op(e0,e0) != op(e3,e0)
& op(e0,e3) = op(e3,e0) )
| ( op(e3,op(e2,e3)) = e3
& op(e3,e3) != op(e2,e3)
& op(e3,e2) = op(e2,e3) )
| ( op(e2,op(e2,e2)) = e2
& op(e2,e2) != op(e2,e2)
& op(e2,e2) = op(e2,e2) )
| ( op(e1,op(e2,e1)) = e1
& op(e1,e1) != op(e2,e1)
& op(e1,e2) = op(e2,e1) )
| ( op(e0,op(e2,e0)) = e0
& op(e0,e0) != op(e2,e0)
& op(e0,e2) = op(e2,e0) )
| ( op(e3,op(e1,e3)) = e3
& op(e3,e3) != op(e1,e3)
& op(e3,e1) = op(e1,e3) )
| ( op(e2,op(e1,e2)) = e2
& op(e2,e2) != op(e1,e2)
& op(e2,e1) = op(e1,e2) )
| ( op(e1,op(e1,e1)) = e1
& op(e1,e1) != op(e1,e1)
& op(e1,e1) = op(e1,e1) )
| ( op(e0,op(e1,e0)) = e0
& op(e0,e0) != op(e1,e0)
& op(e0,e1) = op(e1,e0) )
| ( op(e3,op(e0,e3)) = e3
& op(e3,e3) != op(e0,e3)
& op(e3,e0) = op(e0,e3) )
| ( op(e2,op(e0,e2)) = e2
& op(e2,e2) != op(e0,e2)
& op(e2,e0) = op(e0,e2) )
| ( op(e1,op(e0,e1)) = e1
& op(e1,e1) != op(e0,e1)
& op(e1,e0) = op(e0,e1) )
| ( op(e0,op(e0,e0)) = e0
& op(e0,e0) != op(e0,e0)
& op(e0,e0) = op(e0,e0) ) )
& ( ( op(e3,e3) != e3
& op(e2,e3) != e2
& op(e1,e3) != e1
& op(e0,e3) != e0
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| ( op(e3,e3) != e3
& op(e2,e3) != e2
& op(e1,e3) != e1
& op(e0,e3) != e0
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| ( op(e3,e3) != e3
& op(e2,e3) != e2
& op(e1,e3) != e1
& op(e0,e3) != e0
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( op(e3,e3) != e3
& op(e2,e3) != e2
& op(e1,e3) != e1
& op(e0,e3) != e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e3,e2) != e3
& op(e2,e2) != e2
& op(e1,e2) != e1
& op(e0,e2) != e0
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e2) != e3
& op(e2,e2) != e2
& op(e1,e2) != e1
& op(e0,e2) != e0
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e3,e2) != e3
& op(e2,e2) != e2
& op(e1,e2) != e1
& op(e0,e2) != e0
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e3,e2) != e3
& op(e2,e2) != e2
& op(e1,e2) != e1
& op(e0,e2) != e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
inference(pre_NNF_transformation,[status(thm)],[f5]) ).
fof(f133,definition,
( sP0_prd
<=> ( ( op(e3,e3) != e3
& op(e2,e3) != e2
& op(e1,e3) != e1
& op(e0,e3) != e0
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| ( op(e3,e3) != e3
& op(e2,e3) != e2
& op(e1,e3) != e1
& op(e0,e3) != e0
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( op(e3,e3) != e3
& op(e2,e3) != e2
& op(e1,e3) != e1
& op(e0,e3) != e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e3,e2) != e3
& op(e2,e2) != e2
& op(e1,e2) != e1
& op(e0,e2) != e0
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e2) != e3
& op(e2,e2) != e2
& op(e1,e2) != e1
& op(e0,e2) != e0
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e3,e2) != e3
& op(e2,e2) != e2
& op(e1,e2) != e1
& op(e0,e2) != e0
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e3,e2) != e3
& op(e2,e2) != e2
& op(e1,e2) != e1
& op(e0,e2) != e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f134,definition,
( sP1_prd
<=> ( ( op(e2,op(e3,e2)) = e2
& op(e2,e2) != op(e3,e2)
& op(e2,e3) = op(e3,e2) )
| ( op(e1,op(e3,e1)) = e1
& op(e1,e1) != op(e3,e1)
& op(e1,e3) = op(e3,e1) )
| ( op(e0,op(e3,e0)) = e0
& op(e0,e0) != op(e3,e0)
& op(e0,e3) = op(e3,e0) )
| ( op(e3,op(e2,e3)) = e3
& op(e3,e3) != op(e2,e3)
& op(e3,e2) = op(e2,e3) )
| ( op(e2,op(e2,e2)) = e2
& op(e2,e2) != op(e2,e2)
& op(e2,e2) = op(e2,e2) )
| ( op(e1,op(e2,e1)) = e1
& op(e1,e1) != op(e2,e1)
& op(e1,e2) = op(e2,e1) )
| ( op(e0,op(e2,e0)) = e0
& op(e0,e0) != op(e2,e0)
& op(e0,e2) = op(e2,e0) )
| ( op(e3,op(e1,e3)) = e3
& op(e3,e3) != op(e1,e3)
& op(e3,e1) = op(e1,e3) )
| ( op(e2,op(e1,e2)) = e2
& op(e2,e2) != op(e1,e2)
& op(e2,e1) = op(e1,e2) )
| ( op(e1,op(e1,e1)) = e1
& op(e1,e1) != op(e1,e1)
& op(e1,e1) = op(e1,e1) )
| ( op(e0,op(e1,e0)) = e0
& op(e0,e0) != op(e1,e0)
& op(e0,e1) = op(e1,e0) )
| ( op(e3,op(e0,e3)) = e3
& op(e3,e3) != op(e0,e3)
& op(e3,e0) = op(e0,e3) )
| ( op(e2,op(e0,e2)) = e2
& op(e2,e2) != op(e0,e2)
& op(e2,e0) = op(e0,e2) )
| ( op(e1,op(e0,e1)) = e1
& op(e1,e1) != op(e0,e1)
& op(e1,e0) = op(e0,e1) )
| ( op(e0,op(e0,e0)) = e0
& op(e0,e0) != op(e0,e0)
& op(e0,e0) = op(e0,e0) ) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f135,definition,
( sP2_prd
<=> ( ( ( ( ( op(e2,e3) != e3
| op(e3,e2) != e3 )
& ( op(e2,e3) != e2
| op(e3,e2) != e2 )
& ( op(e2,e3) != e1
| op(e3,e2) != e1 )
& ( op(e2,e3) != e0
| op(e3,e2) != e0 ) )
| op(e3,e3) != e2 )
& op(e3,e3) = e2 )
| ( ( ( ( op(e1,e3) != e3
| op(e3,e1) != e3 )
& ( op(e1,e3) != e2
| op(e3,e1) != e2 )
& ( op(e1,e3) != e1
| op(e3,e1) != e1 )
& ( op(e1,e3) != e0
| op(e3,e1) != e0 ) )
| op(e3,e3) != e1 )
& op(e3,e3) = e1 )
| ( ( ( ( op(e0,e3) != e3
| op(e3,e0) != e3 )
& ( op(e0,e3) != e2
| op(e3,e0) != e2 )
& ( op(e0,e3) != e1
| op(e3,e0) != e1 )
& ( op(e0,e3) != e0
| op(e3,e0) != e0 ) )
| op(e3,e3) != e0 )
& op(e3,e3) = e0 )
| ( ( ( ( op(e3,e2) != e3
| op(e2,e3) != e3 )
& ( op(e3,e2) != e2
| op(e2,e3) != e2 )
& ( op(e3,e2) != e1
| op(e2,e3) != e1 )
& ( op(e3,e2) != e0
| op(e2,e3) != e0 ) )
| op(e2,e2) != e3 )
& op(e2,e2) = e3 )
| ( ( ( ( op(e2,e2) != e3
| op(e2,e2) != e3 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e2) != e1 )
& ( op(e2,e2) != e0
| op(e2,e2) != e0 ) )
| op(e2,e2) != e2 )
& op(e2,e2) = e2 )
| ( ( ( ( op(e1,e2) != e3
| op(e2,e1) != e3 )
& ( op(e1,e2) != e2
| op(e2,e1) != e2 )
& ( op(e1,e2) != e1
| op(e2,e1) != e1 )
& ( op(e1,e2) != e0
| op(e2,e1) != e0 ) )
| op(e2,e2) != e1 )
& op(e2,e2) = e1 )
| ( ( ( ( op(e0,e2) != e3
| op(e2,e0) != e3 )
& ( op(e0,e2) != e2
| op(e2,e0) != e2 )
& ( op(e0,e2) != e1
| op(e2,e0) != e1 )
& ( op(e0,e2) != e0
| op(e2,e0) != e0 ) )
| op(e2,e2) != e0 )
& op(e2,e2) = e0 )
| ( ( ( ( op(e3,e1) != e3
| op(e1,e3) != e3 )
& ( op(e3,e1) != e2
| op(e1,e3) != e2 )
& ( op(e3,e1) != e1
| op(e1,e3) != e1 )
& ( op(e3,e1) != e0
| op(e1,e3) != e0 ) )
| op(e1,e1) != e3 )
& op(e1,e1) = e3 )
| ( ( ( ( op(e2,e1) != e3
| op(e1,e2) != e3 )
& ( op(e2,e1) != e2
| op(e1,e2) != e2 )
& ( op(e2,e1) != e1
| op(e1,e2) != e1 )
& ( op(e2,e1) != e0
| op(e1,e2) != e0 ) )
| op(e1,e1) != e2 )
& op(e1,e1) = e2 )
| ( ( ( ( op(e1,e1) != e3
| op(e1,e1) != e3 )
& ( op(e1,e1) != e2
| op(e1,e1) != e2 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e1) != e0 ) )
| op(e1,e1) != e1 )
& op(e1,e1) = e1 )
| ( ( ( ( op(e0,e1) != e3
| op(e1,e0) != e3 )
& ( op(e0,e1) != e2
| op(e1,e0) != e2 )
& ( op(e0,e1) != e1
| op(e1,e0) != e1 )
& ( op(e0,e1) != e0
| op(e1,e0) != e0 ) )
| op(e1,e1) != e0 )
& op(e1,e1) = e0 )
| ( ( ( ( op(e3,e0) != e3
| op(e0,e3) != e3 )
& ( op(e3,e0) != e2
| op(e0,e3) != e2 )
& ( op(e3,e0) != e1
| op(e0,e3) != e1 )
& ( op(e3,e0) != e0
| op(e0,e3) != e0 ) )
| op(e0,e0) != e3 )
& op(e0,e0) = e3 )
| ( ( ( ( op(e2,e0) != e3
| op(e0,e2) != e3 )
& ( op(e2,e0) != e2
| op(e0,e2) != e2 )
& ( op(e2,e0) != e1
| op(e0,e2) != e1 )
& ( op(e2,e0) != e0
| op(e0,e2) != e0 ) )
| op(e0,e0) != e2 )
& op(e0,e0) = e2 )
| ( ( ( ( op(e1,e0) != e3
| op(e0,e1) != e3 )
& ( op(e1,e0) != e2
| op(e0,e1) != e2 )
& ( op(e1,e0) != e1
| op(e0,e1) != e1 )
& ( op(e1,e0) != e0
| op(e0,e1) != e0 ) )
| op(e0,e0) != e1 )
& op(e0,e0) = e1 )
| ( ( ( ( op(e0,e0) != e3
| op(e0,e0) != e3 )
& ( op(e0,e0) != e2
| op(e0,e0) != e2 )
& ( op(e0,e0) != e1
| op(e0,e0) != e1 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 ) )
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f136,plain,
( ( ( ( ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e3) != e2 )
& ( op(e3,e3) != e1
| op(e3,e3) != e1 )
& ( op(e3,e3) != e0
| op(e3,e3) != e0 ) )
| op(e3,e3) != e3 )
& op(e3,e3) = e3 )
| sP2_prd )
& ( ( op(e3,op(e3,e3)) = e3
& op(e3,e3) != op(e3,e3)
& op(e3,e3) = op(e3,e3) )
| sP1_prd )
& ( ( op(e3,e3) != e3
& op(e2,e3) != e2
& op(e1,e3) != e1
& op(e0,e3) != e0
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| sP0_prd ) ),
inference(formula_renaming,[status(thm)],[f132,f135,f134,f133]) ).
fof(f137,plain,
( op(e3,e3) = e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f136]) ).
fof(f139,plain,
( op(e0,e3) != e0
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f136]) ).
fof(f140,plain,
( op(e1,e3) != e1
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f136]) ).
fof(f141,plain,
( op(e2,e3) != e2
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f136]) ).
fof(f142,plain,
( op(e3,e3) != e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f136]) ).
fof(f143,plain,
( op(e3,e3) = op(e3,e3)
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f136]) ).
fof(f144,plain,
( op(e3,e3) != op(e3,e3)
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f136]) ).
fof(f145,plain,
( op(e3,op(e3,e3)) = e3
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f136]) ).
fof(f146,plain,
( op(e3,e3) = e3
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f136]) ).
fof(f150,plain,
( op(e3,e3) != e3
| op(e3,e3) != e3
| op(e3,e3) != e3
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f136]) ).
fof(f151,plain,
( e3 != op(e0,op(e0,e0))
| e2 != op(op(e0,op(e0,e0)),e0)
| e1 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f152,plain,
( e3 != op(e0,op(e0,e0))
| e2 != op(op(e0,op(e0,e0)),e0)
| e1 != op(e0,e0) ),
inference(cnf_transformation,[status(thm)],[f151]) ).
fof(f153,plain,
( e2 != op(e0,op(e0,e0))
| e3 != op(op(e0,op(e0,e0)),e0)
| e1 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f154,plain,
( e2 != op(e0,op(e0,e0))
| e3 != op(op(e0,op(e0,e0)),e0)
| e1 != op(e0,e0) ),
inference(cnf_transformation,[status(thm)],[f153]) ).
fof(f155,plain,
( e3 != op(e0,op(e0,e0))
| e1 != op(op(e0,op(e0,e0)),e0)
| e2 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f156,plain,
( e3 != op(e0,op(e0,e0))
| e1 != op(op(e0,op(e0,e0)),e0)
| e2 != op(e0,e0) ),
inference(cnf_transformation,[status(thm)],[f155]) ).
fof(f157,plain,
( e1 != op(e0,op(e0,e0))
| e3 != op(op(e0,op(e0,e0)),e0)
| e2 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f158,plain,
( e1 != op(e0,op(e0,e0))
| e3 != op(op(e0,op(e0,e0)),e0)
| e2 != op(e0,e0) ),
inference(cnf_transformation,[status(thm)],[f157]) ).
fof(f159,plain,
( e2 != op(e0,op(e0,e0))
| e1 != op(op(e0,op(e0,e0)),e0)
| e3 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f160,plain,
( e2 != op(e0,op(e0,e0))
| e1 != op(op(e0,op(e0,e0)),e0)
| e3 != op(e0,e0) ),
inference(cnf_transformation,[status(thm)],[f159]) ).
fof(f161,plain,
( e1 != op(e0,op(e0,e0))
| e2 != op(op(e0,op(e0,e0)),e0)
| e3 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(thm)],[f11]) ).
fof(f162,plain,
( e1 != op(e0,op(e0,e0))
| e2 != op(op(e0,op(e0,e0)),e0)
| e3 != op(e0,e0) ),
inference(cnf_transformation,[status(thm)],[f161]) ).
fof(f163,plain,
( e3 != op(e1,op(e1,e1))
| e2 != op(op(e1,op(e1,e1)),e1)
| e0 != op(e1,e1) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f164,plain,
( e3 != op(e1,op(e1,e1))
| e2 != op(op(e1,op(e1,e1)),e1)
| e0 != op(e1,e1) ),
inference(cnf_transformation,[status(thm)],[f163]) ).
fof(f165,plain,
( e2 != op(e1,op(e1,e1))
| e3 != op(op(e1,op(e1,e1)),e1)
| e0 != op(e1,e1) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f166,plain,
( e2 != op(e1,op(e1,e1))
| e3 != op(op(e1,op(e1,e1)),e1)
| e0 != op(e1,e1) ),
inference(cnf_transformation,[status(thm)],[f165]) ).
fof(f167,plain,
( e3 != op(e1,op(e1,e1))
| e0 != op(op(e1,op(e1,e1)),e1)
| e2 != op(e1,e1) ),
inference(pre_NNF_transformation,[status(thm)],[f14]) ).
fof(f168,plain,
( e3 != op(e1,op(e1,e1))
| e0 != op(op(e1,op(e1,e1)),e1)
| e2 != op(e1,e1) ),
inference(cnf_transformation,[status(thm)],[f167]) ).
fof(f169,plain,
( e0 != op(e1,op(e1,e1))
| e3 != op(op(e1,op(e1,e1)),e1)
| e2 != op(e1,e1) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f170,plain,
( e0 != op(e1,op(e1,e1))
| e3 != op(op(e1,op(e1,e1)),e1)
| e2 != op(e1,e1) ),
inference(cnf_transformation,[status(thm)],[f169]) ).
fof(f171,plain,
( e2 != op(e1,op(e1,e1))
| e0 != op(op(e1,op(e1,e1)),e1)
| e3 != op(e1,e1) ),
inference(pre_NNF_transformation,[status(thm)],[f16]) ).
fof(f172,plain,
( e2 != op(e1,op(e1,e1))
| e0 != op(op(e1,op(e1,e1)),e1)
| e3 != op(e1,e1) ),
inference(cnf_transformation,[status(thm)],[f171]) ).
fof(f173,plain,
( e0 != op(e1,op(e1,e1))
| e2 != op(op(e1,op(e1,e1)),e1)
| e3 != op(e1,e1) ),
inference(pre_NNF_transformation,[status(thm)],[f17]) ).
fof(f174,plain,
( e0 != op(e1,op(e1,e1))
| e2 != op(op(e1,op(e1,e1)),e1)
| e3 != op(e1,e1) ),
inference(cnf_transformation,[status(thm)],[f173]) ).
fof(f175,plain,
( e3 != op(e2,op(e2,e2))
| e1 != op(op(e2,op(e2,e2)),e2)
| e0 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f176,plain,
( e3 != op(e2,op(e2,e2))
| e1 != op(op(e2,op(e2,e2)),e2)
| e0 != op(e2,e2) ),
inference(cnf_transformation,[status(thm)],[f175]) ).
fof(f177,plain,
( e1 != op(e2,op(e2,e2))
| e3 != op(op(e2,op(e2,e2)),e2)
| e0 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(thm)],[f19]) ).
fof(f178,plain,
( e1 != op(e2,op(e2,e2))
| e3 != op(op(e2,op(e2,e2)),e2)
| e0 != op(e2,e2) ),
inference(cnf_transformation,[status(thm)],[f177]) ).
fof(f179,plain,
( e3 != op(e2,op(e2,e2))
| e0 != op(op(e2,op(e2,e2)),e2)
| e1 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(thm)],[f20]) ).
fof(f180,plain,
( e3 != op(e2,op(e2,e2))
| e0 != op(op(e2,op(e2,e2)),e2)
| e1 != op(e2,e2) ),
inference(cnf_transformation,[status(thm)],[f179]) ).
fof(f181,plain,
( e0 != op(e2,op(e2,e2))
| e3 != op(op(e2,op(e2,e2)),e2)
| e1 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(thm)],[f21]) ).
fof(f182,plain,
( e0 != op(e2,op(e2,e2))
| e3 != op(op(e2,op(e2,e2)),e2)
| e1 != op(e2,e2) ),
inference(cnf_transformation,[status(thm)],[f181]) ).
fof(f183,plain,
( e1 != op(e2,op(e2,e2))
| e0 != op(op(e2,op(e2,e2)),e2)
| e3 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(thm)],[f22]) ).
fof(f184,plain,
( e1 != op(e2,op(e2,e2))
| e0 != op(op(e2,op(e2,e2)),e2)
| e3 != op(e2,e2) ),
inference(cnf_transformation,[status(thm)],[f183]) ).
fof(f185,plain,
( e0 != op(e2,op(e2,e2))
| e1 != op(op(e2,op(e2,e2)),e2)
| e3 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(thm)],[f23]) ).
fof(f186,plain,
( e0 != op(e2,op(e2,e2))
| e1 != op(op(e2,op(e2,e2)),e2)
| e3 != op(e2,e2) ),
inference(cnf_transformation,[status(thm)],[f185]) ).
fof(f187,plain,
( e2 != op(e3,op(e3,e3))
| e1 != op(op(e3,op(e3,e3)),e3)
| e0 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(thm)],[f24]) ).
fof(f188,plain,
( e2 != op(e3,op(e3,e3))
| e1 != op(op(e3,op(e3,e3)),e3)
| e0 != op(e3,e3) ),
inference(cnf_transformation,[status(thm)],[f187]) ).
fof(f189,plain,
( e1 != op(e3,op(e3,e3))
| e2 != op(op(e3,op(e3,e3)),e3)
| e0 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(thm)],[f25]) ).
fof(f190,plain,
( e1 != op(e3,op(e3,e3))
| e2 != op(op(e3,op(e3,e3)),e3)
| e0 != op(e3,e3) ),
inference(cnf_transformation,[status(thm)],[f189]) ).
fof(f191,plain,
( e2 != op(e3,op(e3,e3))
| e0 != op(op(e3,op(e3,e3)),e3)
| e1 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(thm)],[f26]) ).
fof(f192,plain,
( e2 != op(e3,op(e3,e3))
| e0 != op(op(e3,op(e3,e3)),e3)
| e1 != op(e3,e3) ),
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f193,plain,
( e0 != op(e3,op(e3,e3))
| e2 != op(op(e3,op(e3,e3)),e3)
| e1 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(thm)],[f27]) ).
fof(f194,plain,
( e0 != op(e3,op(e3,e3))
| e2 != op(op(e3,op(e3,e3)),e3)
| e1 != op(e3,e3) ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f195,plain,
( e1 != op(e3,op(e3,e3))
| e0 != op(op(e3,op(e3,e3)),e3)
| e2 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(thm)],[f28]) ).
fof(f196,plain,
( e1 != op(e3,op(e3,e3))
| e0 != op(op(e3,op(e3,e3)),e3)
| e2 != op(e3,e3) ),
inference(cnf_transformation,[status(thm)],[f195]) ).
fof(f197,plain,
( e0 != op(e3,op(e3,e3))
| e1 != op(op(e3,op(e3,e3)),e3)
| e2 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(thm)],[f29]) ).
fof(f198,plain,
( e0 != op(e3,op(e3,e3))
| e1 != op(op(e3,op(e3,e3)),e3)
| e2 != op(e3,e3) ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f199,definition,
( sP3_prd
<=> ( ( op(e3,e3) != e3
& op(e2,e3) != e2
& op(e1,e3) != e1
& op(e0,e3) != e0
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( op(e3,e3) != e3
& op(e2,e3) != e2
& op(e1,e3) != e1
& op(e0,e3) != e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e3,e2) != e3
& op(e2,e2) != e2
& op(e1,e2) != e1
& op(e0,e2) != e0
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e2) != e3
& op(e2,e2) != e2
& op(e1,e2) != e1
& op(e0,e2) != e0
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e3,e2) != e3
& op(e2,e2) != e2
& op(e1,e2) != e1
& op(e0,e2) != e0
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e3,e2) != e3
& op(e2,e2) != e2
& op(e1,e2) != e1
& op(e0,e2) != e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f200,plain,
( sP0_prd
<=> ( ( op(e3,e3) != e3
& op(e2,e3) != e2
& op(e1,e3) != e1
& op(e0,e3) != e0
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| sP3_prd ) ),
inference(formula_renaming,[status(thm)],[f133,f199]) ).
fof(f201,plain,
( ( ( ( op(e3,e3) = e3
| op(e2,e3) = e2
| op(e1,e3) = e1
| op(e0,e3) = e0
| op(e2,e3) != e3
| op(e3,e2) != e3 )
& ~ sP3_prd )
| sP0_prd )
& ( ( op(e3,e3) != e3
& op(e2,e3) != e2
& op(e1,e3) != e1
& op(e0,e3) != e0
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| sP3_prd
| ~ sP0_prd ) ),
inference(NNF_transformation,[status(thm)],[f200]) ).
fof(f202,plain,
( op(e3,e2) = e3
| sP3_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f201]) ).
fof(f203,plain,
( op(e2,e3) = e3
| sP3_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f201]) ).
fof(f204,plain,
( op(e0,e3) != e0
| sP3_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f201]) ).
fof(f205,plain,
( op(e1,e3) != e1
| sP3_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f201]) ).
fof(f206,plain,
( op(e2,e3) != e2
| sP3_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f201]) ).
fof(f207,plain,
( op(e3,e3) != e3
| sP3_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f201]) ).
fof(f208,plain,
( ~ sP3_prd
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f201]) ).
fof(f210,definition,
( sP4_prd
<=> ( ( op(e1,op(e3,e1)) = e1
& op(e1,e1) != op(e3,e1)
& op(e1,e3) = op(e3,e1) )
| ( op(e0,op(e3,e0)) = e0
& op(e0,e0) != op(e3,e0)
& op(e0,e3) = op(e3,e0) )
| ( op(e3,op(e2,e3)) = e3
& op(e3,e3) != op(e2,e3)
& op(e3,e2) = op(e2,e3) )
| ( op(e2,op(e2,e2)) = e2
& op(e2,e2) != op(e2,e2)
& op(e2,e2) = op(e2,e2) )
| ( op(e1,op(e2,e1)) = e1
& op(e1,e1) != op(e2,e1)
& op(e1,e2) = op(e2,e1) )
| ( op(e0,op(e2,e0)) = e0
& op(e0,e0) != op(e2,e0)
& op(e0,e2) = op(e2,e0) )
| ( op(e3,op(e1,e3)) = e3
& op(e3,e3) != op(e1,e3)
& op(e3,e1) = op(e1,e3) )
| ( op(e2,op(e1,e2)) = e2
& op(e2,e2) != op(e1,e2)
& op(e2,e1) = op(e1,e2) )
| ( op(e1,op(e1,e1)) = e1
& op(e1,e1) != op(e1,e1)
& op(e1,e1) = op(e1,e1) )
| ( op(e0,op(e1,e0)) = e0
& op(e0,e0) != op(e1,e0)
& op(e0,e1) = op(e1,e0) )
| ( op(e3,op(e0,e3)) = e3
& op(e3,e3) != op(e0,e3)
& op(e3,e0) = op(e0,e3) )
| ( op(e2,op(e0,e2)) = e2
& op(e2,e2) != op(e0,e2)
& op(e2,e0) = op(e0,e2) )
| ( op(e1,op(e0,e1)) = e1
& op(e1,e1) != op(e0,e1)
& op(e1,e0) = op(e0,e1) )
| ( op(e0,op(e0,e0)) = e0
& op(e0,e0) != op(e0,e0)
& op(e0,e0) = op(e0,e0) ) ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f211,plain,
( sP1_prd
<=> ( ( op(e2,op(e3,e2)) = e2
& op(e2,e2) != op(e3,e2)
& op(e2,e3) = op(e3,e2) )
| sP4_prd ) ),
inference(formula_renaming,[status(thm)],[f134,f210]) ).
fof(f212,plain,
( ( ( ( op(e2,op(e3,e2)) != e2
| op(e2,e2) = op(e3,e2)
| op(e2,e3) != op(e3,e2) )
& ~ sP4_prd )
| sP1_prd )
& ( ( op(e2,op(e3,e2)) = e2
& op(e2,e2) != op(e3,e2)
& op(e2,e3) = op(e3,e2) )
| sP4_prd
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f211]) ).
fof(f213,plain,
( op(e2,e3) = op(e3,e2)
| sP4_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f212]) ).
fof(f214,plain,
( op(e2,e2) != op(e3,e2)
| sP4_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f212]) ).
fof(f215,plain,
( op(e2,op(e3,e2)) = e2
| sP4_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f212]) ).
fof(f216,plain,
( ~ sP4_prd
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f212]) ).
fof(f218,definition,
( sP5_prd
<=> ( ( ( ( ( op(e1,e3) != e3
| op(e3,e1) != e3 )
& ( op(e1,e3) != e2
| op(e3,e1) != e2 )
& ( op(e1,e3) != e1
| op(e3,e1) != e1 )
& ( op(e1,e3) != e0
| op(e3,e1) != e0 ) )
| op(e3,e3) != e1 )
& op(e3,e3) = e1 )
| ( ( ( ( op(e0,e3) != e3
| op(e3,e0) != e3 )
& ( op(e0,e3) != e2
| op(e3,e0) != e2 )
& ( op(e0,e3) != e1
| op(e3,e0) != e1 )
& ( op(e0,e3) != e0
| op(e3,e0) != e0 ) )
| op(e3,e3) != e0 )
& op(e3,e3) = e0 )
| ( ( ( ( op(e3,e2) != e3
| op(e2,e3) != e3 )
& ( op(e3,e2) != e2
| op(e2,e3) != e2 )
& ( op(e3,e2) != e1
| op(e2,e3) != e1 )
& ( op(e3,e2) != e0
| op(e2,e3) != e0 ) )
| op(e2,e2) != e3 )
& op(e2,e2) = e3 )
| ( ( ( ( op(e2,e2) != e3
| op(e2,e2) != e3 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e2) != e1 )
& ( op(e2,e2) != e0
| op(e2,e2) != e0 ) )
| op(e2,e2) != e2 )
& op(e2,e2) = e2 )
| ( ( ( ( op(e1,e2) != e3
| op(e2,e1) != e3 )
& ( op(e1,e2) != e2
| op(e2,e1) != e2 )
& ( op(e1,e2) != e1
| op(e2,e1) != e1 )
& ( op(e1,e2) != e0
| op(e2,e1) != e0 ) )
| op(e2,e2) != e1 )
& op(e2,e2) = e1 )
| ( ( ( ( op(e0,e2) != e3
| op(e2,e0) != e3 )
& ( op(e0,e2) != e2
| op(e2,e0) != e2 )
& ( op(e0,e2) != e1
| op(e2,e0) != e1 )
& ( op(e0,e2) != e0
| op(e2,e0) != e0 ) )
| op(e2,e2) != e0 )
& op(e2,e2) = e0 )
| ( ( ( ( op(e3,e1) != e3
| op(e1,e3) != e3 )
& ( op(e3,e1) != e2
| op(e1,e3) != e2 )
& ( op(e3,e1) != e1
| op(e1,e3) != e1 )
& ( op(e3,e1) != e0
| op(e1,e3) != e0 ) )
| op(e1,e1) != e3 )
& op(e1,e1) = e3 )
| ( ( ( ( op(e2,e1) != e3
| op(e1,e2) != e3 )
& ( op(e2,e1) != e2
| op(e1,e2) != e2 )
& ( op(e2,e1) != e1
| op(e1,e2) != e1 )
& ( op(e2,e1) != e0
| op(e1,e2) != e0 ) )
| op(e1,e1) != e2 )
& op(e1,e1) = e2 )
| ( ( ( ( op(e1,e1) != e3
| op(e1,e1) != e3 )
& ( op(e1,e1) != e2
| op(e1,e1) != e2 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e1) != e0 ) )
| op(e1,e1) != e1 )
& op(e1,e1) = e1 )
| ( ( ( ( op(e0,e1) != e3
| op(e1,e0) != e3 )
& ( op(e0,e1) != e2
| op(e1,e0) != e2 )
& ( op(e0,e1) != e1
| op(e1,e0) != e1 )
& ( op(e0,e1) != e0
| op(e1,e0) != e0 ) )
| op(e1,e1) != e0 )
& op(e1,e1) = e0 )
| ( ( ( ( op(e3,e0) != e3
| op(e0,e3) != e3 )
& ( op(e3,e0) != e2
| op(e0,e3) != e2 )
& ( op(e3,e0) != e1
| op(e0,e3) != e1 )
& ( op(e3,e0) != e0
| op(e0,e3) != e0 ) )
| op(e0,e0) != e3 )
& op(e0,e0) = e3 )
| ( ( ( ( op(e2,e0) != e3
| op(e0,e2) != e3 )
& ( op(e2,e0) != e2
| op(e0,e2) != e2 )
& ( op(e2,e0) != e1
| op(e0,e2) != e1 )
& ( op(e2,e0) != e0
| op(e0,e2) != e0 ) )
| op(e0,e0) != e2 )
& op(e0,e0) = e2 )
| ( ( ( ( op(e1,e0) != e3
| op(e0,e1) != e3 )
& ( op(e1,e0) != e2
| op(e0,e1) != e2 )
& ( op(e1,e0) != e1
| op(e0,e1) != e1 )
& ( op(e1,e0) != e0
| op(e0,e1) != e0 ) )
| op(e0,e0) != e1 )
& op(e0,e0) = e1 )
| ( ( ( ( op(e0,e0) != e3
| op(e0,e0) != e3 )
& ( op(e0,e0) != e2
| op(e0,e0) != e2 )
& ( op(e0,e0) != e1
| op(e0,e0) != e1 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 ) )
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f219,plain,
( sP2_prd
<=> ( ( ( ( ( op(e2,e3) != e3
| op(e3,e2) != e3 )
& ( op(e2,e3) != e2
| op(e3,e2) != e2 )
& ( op(e2,e3) != e1
| op(e3,e2) != e1 )
& ( op(e2,e3) != e0
| op(e3,e2) != e0 ) )
| op(e3,e3) != e2 )
& op(e3,e3) = e2 )
| sP5_prd ) ),
inference(formula_renaming,[status(thm)],[f135,f218]) ).
fof(f220,definition,
( sP6_prd
<=> ( ( op(e2,e3) != e2
| op(e3,e2) != e2 )
& ( op(e2,e3) != e1
| op(e3,e2) != e1 )
& ( op(e2,e3) != e0
| op(e3,e2) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f221,plain,
( sP2_prd
<=> ( ( ( ( ( op(e2,e3) != e3
| op(e3,e2) != e3 )
& sP6_prd )
| op(e3,e3) != e2 )
& op(e3,e3) = e2 )
| sP5_prd ) ),
inference(formula_renaming,[status(thm)],[f219,f220]) ).
fof(f222,plain,
( ( ( ( ( ( ( op(e2,e3) = e3
& op(e3,e2) = e3 )
| ~ sP6_prd )
& op(e3,e3) = e2 )
| op(e3,e3) != e2 )
& ~ sP5_prd )
| sP2_prd )
& ( ( ( ( ( op(e2,e3) != e3
| op(e3,e2) != e3 )
& sP6_prd )
| op(e3,e3) != e2 )
& op(e3,e3) = e2 )
| sP5_prd
| ~ sP2_prd ) ),
inference(NNF_transformation,[status(thm)],[f221]) ).
fof(f223,plain,
( op(e3,e3) = e2
| sP5_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f222]) ).
fof(f224,plain,
( sP6_prd
| op(e3,e3) != e2
| sP5_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f222]) ).
fof(f225,plain,
( op(e2,e3) != e3
| op(e3,e2) != e3
| op(e3,e3) != e2
| sP5_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f222]) ).
fof(f226,plain,
( ~ sP5_prd
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f222]) ).
fof(f228,plain,
( op(e3,e2) = e3
| ~ sP6_prd
| op(e3,e3) != e2
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f222]) ).
fof(f230,definition,
( sP7_prd
<=> ( ( op(e3,e3) != e3
& op(e2,e3) != e2
& op(e1,e3) != e1
& op(e0,e3) != e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e3,e2) != e3
& op(e2,e2) != e2
& op(e1,e2) != e1
& op(e0,e2) != e0
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e2) != e3
& op(e2,e2) != e2
& op(e1,e2) != e1
& op(e0,e2) != e0
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e3,e2) != e3
& op(e2,e2) != e2
& op(e1,e2) != e1
& op(e0,e2) != e0
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e3,e2) != e3
& op(e2,e2) != e2
& op(e1,e2) != e1
& op(e0,e2) != e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).
fof(f231,plain,
( sP3_prd
<=> ( ( op(e3,e3) != e3
& op(e2,e3) != e2
& op(e1,e3) != e1
& op(e0,e3) != e0
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| sP7_prd ) ),
inference(formula_renaming,[status(thm)],[f199,f230]) ).
fof(f232,plain,
( ( ( ( op(e3,e3) = e3
| op(e2,e3) = e2
| op(e1,e3) = e1
| op(e0,e3) = e0
| op(e1,e3) != e3
| op(e3,e1) != e3 )
& ~ sP7_prd )
| sP3_prd )
& ( ( op(e3,e3) != e3
& op(e2,e3) != e2
& op(e1,e3) != e1
& op(e0,e3) != e0
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| sP7_prd
| ~ sP3_prd ) ),
inference(NNF_transformation,[status(thm)],[f231]) ).
fof(f233,plain,
( op(e3,e1) = e3
| sP7_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f232]) ).
fof(f234,plain,
( op(e1,e3) = e3
| sP7_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f232]) ).
fof(f235,plain,
( op(e0,e3) != e0
| sP7_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f232]) ).
fof(f236,plain,
( op(e1,e3) != e1
| sP7_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f232]) ).
fof(f237,plain,
( op(e2,e3) != e2
| sP7_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f232]) ).
fof(f238,plain,
( op(e3,e3) != e3
| sP7_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f232]) ).
fof(f239,plain,
( ~ sP7_prd
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f232]) ).
fof(f240,plain,
( op(e3,e3) = e3
| op(e2,e3) = e2
| op(e1,e3) = e1
| op(e0,e3) = e0
| op(e1,e3) != e3
| op(e3,e1) != e3
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f232]) ).
fof(f241,definition,
( sP8_prd
<=> ( ( op(e0,op(e3,e0)) = e0
& op(e0,e0) != op(e3,e0)
& op(e0,e3) = op(e3,e0) )
| ( op(e3,op(e2,e3)) = e3
& op(e3,e3) != op(e2,e3)
& op(e3,e2) = op(e2,e3) )
| ( op(e2,op(e2,e2)) = e2
& op(e2,e2) != op(e2,e2)
& op(e2,e2) = op(e2,e2) )
| ( op(e1,op(e2,e1)) = e1
& op(e1,e1) != op(e2,e1)
& op(e1,e2) = op(e2,e1) )
| ( op(e0,op(e2,e0)) = e0
& op(e0,e0) != op(e2,e0)
& op(e0,e2) = op(e2,e0) )
| ( op(e3,op(e1,e3)) = e3
& op(e3,e3) != op(e1,e3)
& op(e3,e1) = op(e1,e3) )
| ( op(e2,op(e1,e2)) = e2
& op(e2,e2) != op(e1,e2)
& op(e2,e1) = op(e1,e2) )
| ( op(e1,op(e1,e1)) = e1
& op(e1,e1) != op(e1,e1)
& op(e1,e1) = op(e1,e1) )
| ( op(e0,op(e1,e0)) = e0
& op(e0,e0) != op(e1,e0)
& op(e0,e1) = op(e1,e0) )
| ( op(e3,op(e0,e3)) = e3
& op(e3,e3) != op(e0,e3)
& op(e3,e0) = op(e0,e3) )
| ( op(e2,op(e0,e2)) = e2
& op(e2,e2) != op(e0,e2)
& op(e2,e0) = op(e0,e2) )
| ( op(e1,op(e0,e1)) = e1
& op(e1,e1) != op(e0,e1)
& op(e1,e0) = op(e0,e1) )
| ( op(e0,op(e0,e0)) = e0
& op(e0,e0) != op(e0,e0)
& op(e0,e0) = op(e0,e0) ) ) ),
introduced(definition,[new_symbols(definition,[sP8_prd])],[]) ).
fof(f242,plain,
( sP4_prd
<=> ( ( op(e1,op(e3,e1)) = e1
& op(e1,e1) != op(e3,e1)
& op(e1,e3) = op(e3,e1) )
| sP8_prd ) ),
inference(formula_renaming,[status(thm)],[f210,f241]) ).
fof(f243,plain,
( ( ( ( op(e1,op(e3,e1)) != e1
| op(e1,e1) = op(e3,e1)
| op(e1,e3) != op(e3,e1) )
& ~ sP8_prd )
| sP4_prd )
& ( ( op(e1,op(e3,e1)) = e1
& op(e1,e1) != op(e3,e1)
& op(e1,e3) = op(e3,e1) )
| sP8_prd
| ~ sP4_prd ) ),
inference(NNF_transformation,[status(thm)],[f242]) ).
fof(f244,plain,
( op(e1,e3) = op(e3,e1)
| sP8_prd
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f243]) ).
fof(f246,plain,
( op(e1,op(e3,e1)) = e1
| sP8_prd
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f243]) ).
fof(f247,plain,
( ~ sP8_prd
| sP4_prd ),
inference(cnf_transformation,[status(thm)],[f243]) ).
fof(f248,plain,
( op(e1,op(e3,e1)) != e1
| op(e1,e1) = op(e3,e1)
| op(e1,e3) != op(e3,e1)
| sP4_prd ),
inference(cnf_transformation,[status(thm)],[f243]) ).
fof(f249,definition,
( sP9_prd
<=> ( ( ( ( ( op(e0,e3) != e3
| op(e3,e0) != e3 )
& ( op(e0,e3) != e2
| op(e3,e0) != e2 )
& ( op(e0,e3) != e1
| op(e3,e0) != e1 )
& ( op(e0,e3) != e0
| op(e3,e0) != e0 ) )
| op(e3,e3) != e0 )
& op(e3,e3) = e0 )
| ( ( ( ( op(e3,e2) != e3
| op(e2,e3) != e3 )
& ( op(e3,e2) != e2
| op(e2,e3) != e2 )
& ( op(e3,e2) != e1
| op(e2,e3) != e1 )
& ( op(e3,e2) != e0
| op(e2,e3) != e0 ) )
| op(e2,e2) != e3 )
& op(e2,e2) = e3 )
| ( ( ( ( op(e2,e2) != e3
| op(e2,e2) != e3 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e2) != e1 )
& ( op(e2,e2) != e0
| op(e2,e2) != e0 ) )
| op(e2,e2) != e2 )
& op(e2,e2) = e2 )
| ( ( ( ( op(e1,e2) != e3
| op(e2,e1) != e3 )
& ( op(e1,e2) != e2
| op(e2,e1) != e2 )
& ( op(e1,e2) != e1
| op(e2,e1) != e1 )
& ( op(e1,e2) != e0
| op(e2,e1) != e0 ) )
| op(e2,e2) != e1 )
& op(e2,e2) = e1 )
| ( ( ( ( op(e0,e2) != e3
| op(e2,e0) != e3 )
& ( op(e0,e2) != e2
| op(e2,e0) != e2 )
& ( op(e0,e2) != e1
| op(e2,e0) != e1 )
& ( op(e0,e2) != e0
| op(e2,e0) != e0 ) )
| op(e2,e2) != e0 )
& op(e2,e2) = e0 )
| ( ( ( ( op(e3,e1) != e3
| op(e1,e3) != e3 )
& ( op(e3,e1) != e2
| op(e1,e3) != e2 )
& ( op(e3,e1) != e1
| op(e1,e3) != e1 )
& ( op(e3,e1) != e0
| op(e1,e3) != e0 ) )
| op(e1,e1) != e3 )
& op(e1,e1) = e3 )
| ( ( ( ( op(e2,e1) != e3
| op(e1,e2) != e3 )
& ( op(e2,e1) != e2
| op(e1,e2) != e2 )
& ( op(e2,e1) != e1
| op(e1,e2) != e1 )
& ( op(e2,e1) != e0
| op(e1,e2) != e0 ) )
| op(e1,e1) != e2 )
& op(e1,e1) = e2 )
| ( ( ( ( op(e1,e1) != e3
| op(e1,e1) != e3 )
& ( op(e1,e1) != e2
| op(e1,e1) != e2 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e1) != e0 ) )
| op(e1,e1) != e1 )
& op(e1,e1) = e1 )
| ( ( ( ( op(e0,e1) != e3
| op(e1,e0) != e3 )
& ( op(e0,e1) != e2
| op(e1,e0) != e2 )
& ( op(e0,e1) != e1
| op(e1,e0) != e1 )
& ( op(e0,e1) != e0
| op(e1,e0) != e0 ) )
| op(e1,e1) != e0 )
& op(e1,e1) = e0 )
| ( ( ( ( op(e3,e0) != e3
| op(e0,e3) != e3 )
& ( op(e3,e0) != e2
| op(e0,e3) != e2 )
& ( op(e3,e0) != e1
| op(e0,e3) != e1 )
& ( op(e3,e0) != e0
| op(e0,e3) != e0 ) )
| op(e0,e0) != e3 )
& op(e0,e0) = e3 )
| ( ( ( ( op(e2,e0) != e3
| op(e0,e2) != e3 )
& ( op(e2,e0) != e2
| op(e0,e2) != e2 )
& ( op(e2,e0) != e1
| op(e0,e2) != e1 )
& ( op(e2,e0) != e0
| op(e0,e2) != e0 ) )
| op(e0,e0) != e2 )
& op(e0,e0) = e2 )
| ( ( ( ( op(e1,e0) != e3
| op(e0,e1) != e3 )
& ( op(e1,e0) != e2
| op(e0,e1) != e2 )
& ( op(e1,e0) != e1
| op(e0,e1) != e1 )
& ( op(e1,e0) != e0
| op(e0,e1) != e0 ) )
| op(e0,e0) != e1 )
& op(e0,e0) = e1 )
| ( ( ( ( op(e0,e0) != e3
| op(e0,e0) != e3 )
& ( op(e0,e0) != e2
| op(e0,e0) != e2 )
& ( op(e0,e0) != e1
| op(e0,e0) != e1 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 ) )
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP9_prd])],[]) ).
fof(f250,plain,
( sP5_prd
<=> ( ( ( ( ( op(e1,e3) != e3
| op(e3,e1) != e3 )
& ( op(e1,e3) != e2
| op(e3,e1) != e2 )
& ( op(e1,e3) != e1
| op(e3,e1) != e1 )
& ( op(e1,e3) != e0
| op(e3,e1) != e0 ) )
| op(e3,e3) != e1 )
& op(e3,e3) = e1 )
| sP9_prd ) ),
inference(formula_renaming,[status(thm)],[f218,f249]) ).
fof(f251,definition,
( sP10_prd
<=> ( ( op(e1,e3) != e2
| op(e3,e1) != e2 )
& ( op(e1,e3) != e1
| op(e3,e1) != e1 )
& ( op(e1,e3) != e0
| op(e3,e1) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP10_prd])],[]) ).
fof(f252,plain,
( sP5_prd
<=> ( ( ( ( ( op(e1,e3) != e3
| op(e3,e1) != e3 )
& sP10_prd )
| op(e3,e3) != e1 )
& op(e3,e3) = e1 )
| sP9_prd ) ),
inference(formula_renaming,[status(thm)],[f250,f251]) ).
fof(f253,plain,
( ( ( ( ( ( ( op(e1,e3) = e3
& op(e3,e1) = e3 )
| ~ sP10_prd )
& op(e3,e3) = e1 )
| op(e3,e3) != e1 )
& ~ sP9_prd )
| sP5_prd )
& ( ( ( ( ( op(e1,e3) != e3
| op(e3,e1) != e3 )
& sP10_prd )
| op(e3,e3) != e1 )
& op(e3,e3) = e1 )
| sP9_prd
| ~ sP5_prd ) ),
inference(NNF_transformation,[status(thm)],[f252]) ).
fof(f254,plain,
( op(e3,e3) = e1
| sP9_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f253]) ).
fof(f255,plain,
( sP10_prd
| op(e3,e3) != e1
| sP9_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f253]) ).
fof(f256,plain,
( op(e1,e3) != e3
| op(e3,e1) != e3
| op(e3,e3) != e1
| sP9_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f253]) ).
fof(f257,plain,
( ~ sP9_prd
| sP5_prd ),
inference(cnf_transformation,[status(thm)],[f253]) ).
fof(f260,plain,
( op(e1,e3) = e3
| ~ sP10_prd
| op(e3,e3) != e1
| sP5_prd ),
inference(cnf_transformation,[status(thm)],[f253]) ).
fof(f261,definition,
( sP11_prd
<=> ( ( op(e2,e3) != e1
| op(e3,e2) != e1 )
& ( op(e2,e3) != e0
| op(e3,e2) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP11_prd])],[]) ).
fof(f262,plain,
( sP6_prd
<=> ( ( op(e2,e3) != e2
| op(e3,e2) != e2 )
& sP11_prd ) ),
inference(formula_renaming,[status(thm)],[f220,f261]) ).
fof(f263,plain,
( ( ( op(e2,e3) = e2
& op(e3,e2) = e2 )
| ~ sP11_prd
| sP6_prd )
& ( ( ( op(e2,e3) != e2
| op(e3,e2) != e2 )
& sP11_prd )
| ~ sP6_prd ) ),
inference(NNF_transformation,[status(thm)],[f262]) ).
fof(f264,plain,
( sP11_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f263]) ).
fof(f265,plain,
( op(e2,e3) != e2
| op(e3,e2) != e2
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f263]) ).
fof(f266,plain,
( op(e3,e2) = e2
| ~ sP11_prd
| sP6_prd ),
inference(cnf_transformation,[status(thm)],[f263]) ).
fof(f267,plain,
( op(e2,e3) = e2
| ~ sP11_prd
| sP6_prd ),
inference(cnf_transformation,[status(thm)],[f263]) ).
fof(f268,definition,
( sP12_prd
<=> ( ( op(e3,e2) != e3
& op(e2,e2) != e2
& op(e1,e2) != e1
& op(e0,e2) != e0
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e2) != e3
& op(e2,e2) != e2
& op(e1,e2) != e1
& op(e0,e2) != e0
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e3,e2) != e3
& op(e2,e2) != e2
& op(e1,e2) != e1
& op(e0,e2) != e0
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e3,e2) != e3
& op(e2,e2) != e2
& op(e1,e2) != e1
& op(e0,e2) != e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP12_prd])],[]) ).
fof(f269,plain,
( sP7_prd
<=> ( ( op(e3,e3) != e3
& op(e2,e3) != e2
& op(e1,e3) != e1
& op(e0,e3) != e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| sP12_prd ) ),
inference(formula_renaming,[status(thm)],[f230,f268]) ).
fof(f270,plain,
( ( ( ( op(e3,e3) = e3
| op(e2,e3) = e2
| op(e1,e3) = e1
| op(e0,e3) = e0
| op(e0,e3) != e3
| op(e3,e0) != e3 )
& ~ sP12_prd )
| sP7_prd )
& ( ( op(e3,e3) != e3
& op(e2,e3) != e2
& op(e1,e3) != e1
& op(e0,e3) != e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| sP12_prd
| ~ sP7_prd ) ),
inference(NNF_transformation,[status(thm)],[f269]) ).
fof(f271,plain,
( op(e3,e0) = e3
| sP12_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f270]) ).
fof(f272,plain,
( op(e0,e3) = e3
| sP12_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f270]) ).
fof(f273,plain,
( op(e0,e3) != e0
| sP12_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f270]) ).
fof(f274,plain,
( op(e1,e3) != e1
| sP12_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f270]) ).
fof(f275,plain,
( op(e2,e3) != e2
| sP12_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f270]) ).
fof(f276,plain,
( op(e3,e3) != e3
| sP12_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f270]) ).
fof(f277,plain,
( ~ sP12_prd
| sP7_prd ),
inference(cnf_transformation,[status(thm)],[f270]) ).
fof(f279,definition,
( sP13_prd
<=> ( ( op(e3,op(e2,e3)) = e3
& op(e3,e3) != op(e2,e3)
& op(e3,e2) = op(e2,e3) )
| ( op(e2,op(e2,e2)) = e2
& op(e2,e2) != op(e2,e2)
& op(e2,e2) = op(e2,e2) )
| ( op(e1,op(e2,e1)) = e1
& op(e1,e1) != op(e2,e1)
& op(e1,e2) = op(e2,e1) )
| ( op(e0,op(e2,e0)) = e0
& op(e0,e0) != op(e2,e0)
& op(e0,e2) = op(e2,e0) )
| ( op(e3,op(e1,e3)) = e3
& op(e3,e3) != op(e1,e3)
& op(e3,e1) = op(e1,e3) )
| ( op(e2,op(e1,e2)) = e2
& op(e2,e2) != op(e1,e2)
& op(e2,e1) = op(e1,e2) )
| ( op(e1,op(e1,e1)) = e1
& op(e1,e1) != op(e1,e1)
& op(e1,e1) = op(e1,e1) )
| ( op(e0,op(e1,e0)) = e0
& op(e0,e0) != op(e1,e0)
& op(e0,e1) = op(e1,e0) )
| ( op(e3,op(e0,e3)) = e3
& op(e3,e3) != op(e0,e3)
& op(e3,e0) = op(e0,e3) )
| ( op(e2,op(e0,e2)) = e2
& op(e2,e2) != op(e0,e2)
& op(e2,e0) = op(e0,e2) )
| ( op(e1,op(e0,e1)) = e1
& op(e1,e1) != op(e0,e1)
& op(e1,e0) = op(e0,e1) )
| ( op(e0,op(e0,e0)) = e0
& op(e0,e0) != op(e0,e0)
& op(e0,e0) = op(e0,e0) ) ) ),
introduced(definition,[new_symbols(definition,[sP13_prd])],[]) ).
fof(f280,plain,
( sP8_prd
<=> ( ( op(e0,op(e3,e0)) = e0
& op(e0,e0) != op(e3,e0)
& op(e0,e3) = op(e3,e0) )
| sP13_prd ) ),
inference(formula_renaming,[status(thm)],[f241,f279]) ).
fof(f281,plain,
( ( ( ( op(e0,op(e3,e0)) != e0
| op(e0,e0) = op(e3,e0)
| op(e0,e3) != op(e3,e0) )
& ~ sP13_prd )
| sP8_prd )
& ( ( op(e0,op(e3,e0)) = e0
& op(e0,e0) != op(e3,e0)
& op(e0,e3) = op(e3,e0) )
| sP13_prd
| ~ sP8_prd ) ),
inference(NNF_transformation,[status(thm)],[f280]) ).
fof(f282,plain,
( op(e0,e3) = op(e3,e0)
| sP13_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f281]) ).
fof(f283,plain,
( op(e0,e0) != op(e3,e0)
| sP13_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f281]) ).
fof(f284,plain,
( op(e0,op(e3,e0)) = e0
| sP13_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f281]) ).
fof(f285,plain,
( ~ sP13_prd
| sP8_prd ),
inference(cnf_transformation,[status(thm)],[f281]) ).
fof(f286,plain,
( op(e0,op(e3,e0)) != e0
| op(e0,e0) = op(e3,e0)
| op(e0,e3) != op(e3,e0)
| sP8_prd ),
inference(cnf_transformation,[status(thm)],[f281]) ).
fof(f287,definition,
( sP14_prd
<=> ( ( ( ( ( op(e3,e2) != e3
| op(e2,e3) != e3 )
& ( op(e3,e2) != e2
| op(e2,e3) != e2 )
& ( op(e3,e2) != e1
| op(e2,e3) != e1 )
& ( op(e3,e2) != e0
| op(e2,e3) != e0 ) )
| op(e2,e2) != e3 )
& op(e2,e2) = e3 )
| ( ( ( ( op(e2,e2) != e3
| op(e2,e2) != e3 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e2) != e1 )
& ( op(e2,e2) != e0
| op(e2,e2) != e0 ) )
| op(e2,e2) != e2 )
& op(e2,e2) = e2 )
| ( ( ( ( op(e1,e2) != e3
| op(e2,e1) != e3 )
& ( op(e1,e2) != e2
| op(e2,e1) != e2 )
& ( op(e1,e2) != e1
| op(e2,e1) != e1 )
& ( op(e1,e2) != e0
| op(e2,e1) != e0 ) )
| op(e2,e2) != e1 )
& op(e2,e2) = e1 )
| ( ( ( ( op(e0,e2) != e3
| op(e2,e0) != e3 )
& ( op(e0,e2) != e2
| op(e2,e0) != e2 )
& ( op(e0,e2) != e1
| op(e2,e0) != e1 )
& ( op(e0,e2) != e0
| op(e2,e0) != e0 ) )
| op(e2,e2) != e0 )
& op(e2,e2) = e0 )
| ( ( ( ( op(e3,e1) != e3
| op(e1,e3) != e3 )
& ( op(e3,e1) != e2
| op(e1,e3) != e2 )
& ( op(e3,e1) != e1
| op(e1,e3) != e1 )
& ( op(e3,e1) != e0
| op(e1,e3) != e0 ) )
| op(e1,e1) != e3 )
& op(e1,e1) = e3 )
| ( ( ( ( op(e2,e1) != e3
| op(e1,e2) != e3 )
& ( op(e2,e1) != e2
| op(e1,e2) != e2 )
& ( op(e2,e1) != e1
| op(e1,e2) != e1 )
& ( op(e2,e1) != e0
| op(e1,e2) != e0 ) )
| op(e1,e1) != e2 )
& op(e1,e1) = e2 )
| ( ( ( ( op(e1,e1) != e3
| op(e1,e1) != e3 )
& ( op(e1,e1) != e2
| op(e1,e1) != e2 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e1) != e0 ) )
| op(e1,e1) != e1 )
& op(e1,e1) = e1 )
| ( ( ( ( op(e0,e1) != e3
| op(e1,e0) != e3 )
& ( op(e0,e1) != e2
| op(e1,e0) != e2 )
& ( op(e0,e1) != e1
| op(e1,e0) != e1 )
& ( op(e0,e1) != e0
| op(e1,e0) != e0 ) )
| op(e1,e1) != e0 )
& op(e1,e1) = e0 )
| ( ( ( ( op(e3,e0) != e3
| op(e0,e3) != e3 )
& ( op(e3,e0) != e2
| op(e0,e3) != e2 )
& ( op(e3,e0) != e1
| op(e0,e3) != e1 )
& ( op(e3,e0) != e0
| op(e0,e3) != e0 ) )
| op(e0,e0) != e3 )
& op(e0,e0) = e3 )
| ( ( ( ( op(e2,e0) != e3
| op(e0,e2) != e3 )
& ( op(e2,e0) != e2
| op(e0,e2) != e2 )
& ( op(e2,e0) != e1
| op(e0,e2) != e1 )
& ( op(e2,e0) != e0
| op(e0,e2) != e0 ) )
| op(e0,e0) != e2 )
& op(e0,e0) = e2 )
| ( ( ( ( op(e1,e0) != e3
| op(e0,e1) != e3 )
& ( op(e1,e0) != e2
| op(e0,e1) != e2 )
& ( op(e1,e0) != e1
| op(e0,e1) != e1 )
& ( op(e1,e0) != e0
| op(e0,e1) != e0 ) )
| op(e0,e0) != e1 )
& op(e0,e0) = e1 )
| ( ( ( ( op(e0,e0) != e3
| op(e0,e0) != e3 )
& ( op(e0,e0) != e2
| op(e0,e0) != e2 )
& ( op(e0,e0) != e1
| op(e0,e0) != e1 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 ) )
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP14_prd])],[]) ).
fof(f288,plain,
( sP9_prd
<=> ( ( ( ( ( op(e0,e3) != e3
| op(e3,e0) != e3 )
& ( op(e0,e3) != e2
| op(e3,e0) != e2 )
& ( op(e0,e3) != e1
| op(e3,e0) != e1 )
& ( op(e0,e3) != e0
| op(e3,e0) != e0 ) )
| op(e3,e3) != e0 )
& op(e3,e3) = e0 )
| sP14_prd ) ),
inference(formula_renaming,[status(thm)],[f249,f287]) ).
fof(f289,definition,
( sP15_prd
<=> ( ( op(e0,e3) != e2
| op(e3,e0) != e2 )
& ( op(e0,e3) != e1
| op(e3,e0) != e1 )
& ( op(e0,e3) != e0
| op(e3,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP15_prd])],[]) ).
fof(f290,plain,
( sP9_prd
<=> ( ( ( ( ( op(e0,e3) != e3
| op(e3,e0) != e3 )
& sP15_prd )
| op(e3,e3) != e0 )
& op(e3,e3) = e0 )
| sP14_prd ) ),
inference(formula_renaming,[status(thm)],[f288,f289]) ).
fof(f291,plain,
( ( ( ( ( ( ( op(e0,e3) = e3
& op(e3,e0) = e3 )
| ~ sP15_prd )
& op(e3,e3) = e0 )
| op(e3,e3) != e0 )
& ~ sP14_prd )
| sP9_prd )
& ( ( ( ( ( op(e0,e3) != e3
| op(e3,e0) != e3 )
& sP15_prd )
| op(e3,e3) != e0 )
& op(e3,e3) = e0 )
| sP14_prd
| ~ sP9_prd ) ),
inference(NNF_transformation,[status(thm)],[f290]) ).
fof(f292,plain,
( op(e3,e3) = e0
| sP14_prd
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f291]) ).
fof(f293,plain,
( sP15_prd
| op(e3,e3) != e0
| sP14_prd
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f291]) ).
fof(f294,plain,
( op(e0,e3) != e3
| op(e3,e0) != e3
| op(e3,e3) != e0
| sP14_prd
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f291]) ).
fof(f295,plain,
( ~ sP14_prd
| sP9_prd ),
inference(cnf_transformation,[status(thm)],[f291]) ).
fof(f298,plain,
( op(e0,e3) = e3
| ~ sP15_prd
| op(e3,e3) != e0
| sP9_prd ),
inference(cnf_transformation,[status(thm)],[f291]) ).
fof(f299,definition,
( sP16_prd
<=> ( ( op(e1,e3) != e1
| op(e3,e1) != e1 )
& ( op(e1,e3) != e0
| op(e3,e1) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP16_prd])],[]) ).
fof(f300,plain,
( sP10_prd
<=> ( ( op(e1,e3) != e2
| op(e3,e1) != e2 )
& sP16_prd ) ),
inference(formula_renaming,[status(thm)],[f251,f299]) ).
fof(f301,plain,
( ( ( op(e1,e3) = e2
& op(e3,e1) = e2 )
| ~ sP16_prd
| sP10_prd )
& ( ( ( op(e1,e3) != e2
| op(e3,e1) != e2 )
& sP16_prd )
| ~ sP10_prd ) ),
inference(NNF_transformation,[status(thm)],[f300]) ).
fof(f302,plain,
( sP16_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f301]) ).
fof(f303,plain,
( op(e1,e3) != e2
| op(e3,e1) != e2
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f301]) ).
fof(f304,plain,
( op(e3,e1) = e2
| ~ sP16_prd
| sP10_prd ),
inference(cnf_transformation,[status(thm)],[f301]) ).
fof(f305,plain,
( op(e1,e3) = e2
| ~ sP16_prd
| sP10_prd ),
inference(cnf_transformation,[status(thm)],[f301]) ).
fof(f306,plain,
( ( ( op(e2,e3) = e1
& op(e3,e2) = e1 )
| ( op(e2,e3) = e0
& op(e3,e2) = e0 )
| sP11_prd )
& ( ( ( op(e2,e3) != e1
| op(e3,e2) != e1 )
& ( op(e2,e3) != e0
| op(e3,e2) != e0 ) )
| ~ sP11_prd ) ),
inference(NNF_transformation,[status(thm)],[f261]) ).
fof(f307,plain,
( op(e2,e3) != e0
| op(e3,e2) != e0
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f306]) ).
fof(f308,plain,
( op(e2,e3) != e1
| op(e3,e2) != e1
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f306]) ).
fof(f309,plain,
( op(e3,e2) = e1
| op(e3,e2) = e0
| sP11_prd ),
inference(cnf_transformation,[status(thm)],[f306]) ).
fof(f310,plain,
( op(e2,e3) = e1
| op(e3,e2) = e0
| sP11_prd ),
inference(cnf_transformation,[status(thm)],[f306]) ).
fof(f311,plain,
( op(e3,e2) = e1
| op(e2,e3) = e0
| sP11_prd ),
inference(cnf_transformation,[status(thm)],[f306]) ).
fof(f312,plain,
( op(e2,e3) = e1
| op(e2,e3) = e0
| sP11_prd ),
inference(cnf_transformation,[status(thm)],[f306]) ).
fof(f313,definition,
( sP17_prd
<=> ( ( op(e3,e2) != e3
& op(e2,e2) != e2
& op(e1,e2) != e1
& op(e0,e2) != e0
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e3,e2) != e3
& op(e2,e2) != e2
& op(e1,e2) != e1
& op(e0,e2) != e0
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e3,e2) != e3
& op(e2,e2) != e2
& op(e1,e2) != e1
& op(e0,e2) != e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP17_prd])],[]) ).
fof(f314,plain,
( sP12_prd
<=> ( ( op(e3,e2) != e3
& op(e2,e2) != e2
& op(e1,e2) != e1
& op(e0,e2) != e0
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| sP17_prd ) ),
inference(formula_renaming,[status(thm)],[f268,f313]) ).
fof(f315,plain,
( ( ( ( op(e3,e2) = e3
| op(e2,e2) = e2
| op(e1,e2) = e1
| op(e0,e2) = e0
| op(e3,e2) != e2
| op(e2,e3) != e2 )
& ~ sP17_prd )
| sP12_prd )
& ( ( op(e3,e2) != e3
& op(e2,e2) != e2
& op(e1,e2) != e1
& op(e0,e2) != e0
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| sP17_prd
| ~ sP12_prd ) ),
inference(NNF_transformation,[status(thm)],[f314]) ).
fof(f316,plain,
( op(e2,e3) = e2
| sP17_prd
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f315]) ).
fof(f317,plain,
( op(e3,e2) = e2
| sP17_prd
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f315]) ).
fof(f318,plain,
( op(e0,e2) != e0
| sP17_prd
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f315]) ).
fof(f319,plain,
( op(e1,e2) != e1
| sP17_prd
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f315]) ).
fof(f320,plain,
( op(e2,e2) != e2
| sP17_prd
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f315]) ).
fof(f321,plain,
( op(e3,e2) != e3
| sP17_prd
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f315]) ).
fof(f322,plain,
( ~ sP17_prd
| sP12_prd ),
inference(cnf_transformation,[status(thm)],[f315]) ).
fof(f324,definition,
( sP18_prd
<=> ( ( op(e2,op(e2,e2)) = e2
& op(e2,e2) != op(e2,e2)
& op(e2,e2) = op(e2,e2) )
| ( op(e1,op(e2,e1)) = e1
& op(e1,e1) != op(e2,e1)
& op(e1,e2) = op(e2,e1) )
| ( op(e0,op(e2,e0)) = e0
& op(e0,e0) != op(e2,e0)
& op(e0,e2) = op(e2,e0) )
| ( op(e3,op(e1,e3)) = e3
& op(e3,e3) != op(e1,e3)
& op(e3,e1) = op(e1,e3) )
| ( op(e2,op(e1,e2)) = e2
& op(e2,e2) != op(e1,e2)
& op(e2,e1) = op(e1,e2) )
| ( op(e1,op(e1,e1)) = e1
& op(e1,e1) != op(e1,e1)
& op(e1,e1) = op(e1,e1) )
| ( op(e0,op(e1,e0)) = e0
& op(e0,e0) != op(e1,e0)
& op(e0,e1) = op(e1,e0) )
| ( op(e3,op(e0,e3)) = e3
& op(e3,e3) != op(e0,e3)
& op(e3,e0) = op(e0,e3) )
| ( op(e2,op(e0,e2)) = e2
& op(e2,e2) != op(e0,e2)
& op(e2,e0) = op(e0,e2) )
| ( op(e1,op(e0,e1)) = e1
& op(e1,e1) != op(e0,e1)
& op(e1,e0) = op(e0,e1) )
| ( op(e0,op(e0,e0)) = e0
& op(e0,e0) != op(e0,e0)
& op(e0,e0) = op(e0,e0) ) ) ),
introduced(definition,[new_symbols(definition,[sP18_prd])],[]) ).
fof(f325,plain,
( sP13_prd
<=> ( ( op(e3,op(e2,e3)) = e3
& op(e3,e3) != op(e2,e3)
& op(e3,e2) = op(e2,e3) )
| sP18_prd ) ),
inference(formula_renaming,[status(thm)],[f279,f324]) ).
fof(f326,plain,
( ( ( ( op(e3,op(e2,e3)) != e3
| op(e3,e3) = op(e2,e3)
| op(e3,e2) != op(e2,e3) )
& ~ sP18_prd )
| sP13_prd )
& ( ( op(e3,op(e2,e3)) = e3
& op(e3,e3) != op(e2,e3)
& op(e3,e2) = op(e2,e3) )
| sP18_prd
| ~ sP13_prd ) ),
inference(NNF_transformation,[status(thm)],[f325]) ).
fof(f327,plain,
( op(e3,e2) = op(e2,e3)
| sP18_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f326]) ).
fof(f329,plain,
( op(e3,op(e2,e3)) = e3
| sP18_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f326]) ).
fof(f330,plain,
( ~ sP18_prd
| sP13_prd ),
inference(cnf_transformation,[status(thm)],[f326]) ).
fof(f331,plain,
( op(e3,op(e2,e3)) != e3
| op(e3,e3) = op(e2,e3)
| op(e3,e2) != op(e2,e3)
| sP13_prd ),
inference(cnf_transformation,[status(thm)],[f326]) ).
fof(f332,definition,
( sP19_prd
<=> ( ( ( ( ( op(e2,e2) != e3
| op(e2,e2) != e3 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e2) != e1 )
& ( op(e2,e2) != e0
| op(e2,e2) != e0 ) )
| op(e2,e2) != e2 )
& op(e2,e2) = e2 )
| ( ( ( ( op(e1,e2) != e3
| op(e2,e1) != e3 )
& ( op(e1,e2) != e2
| op(e2,e1) != e2 )
& ( op(e1,e2) != e1
| op(e2,e1) != e1 )
& ( op(e1,e2) != e0
| op(e2,e1) != e0 ) )
| op(e2,e2) != e1 )
& op(e2,e2) = e1 )
| ( ( ( ( op(e0,e2) != e3
| op(e2,e0) != e3 )
& ( op(e0,e2) != e2
| op(e2,e0) != e2 )
& ( op(e0,e2) != e1
| op(e2,e0) != e1 )
& ( op(e0,e2) != e0
| op(e2,e0) != e0 ) )
| op(e2,e2) != e0 )
& op(e2,e2) = e0 )
| ( ( ( ( op(e3,e1) != e3
| op(e1,e3) != e3 )
& ( op(e3,e1) != e2
| op(e1,e3) != e2 )
& ( op(e3,e1) != e1
| op(e1,e3) != e1 )
& ( op(e3,e1) != e0
| op(e1,e3) != e0 ) )
| op(e1,e1) != e3 )
& op(e1,e1) = e3 )
| ( ( ( ( op(e2,e1) != e3
| op(e1,e2) != e3 )
& ( op(e2,e1) != e2
| op(e1,e2) != e2 )
& ( op(e2,e1) != e1
| op(e1,e2) != e1 )
& ( op(e2,e1) != e0
| op(e1,e2) != e0 ) )
| op(e1,e1) != e2 )
& op(e1,e1) = e2 )
| ( ( ( ( op(e1,e1) != e3
| op(e1,e1) != e3 )
& ( op(e1,e1) != e2
| op(e1,e1) != e2 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e1) != e0 ) )
| op(e1,e1) != e1 )
& op(e1,e1) = e1 )
| ( ( ( ( op(e0,e1) != e3
| op(e1,e0) != e3 )
& ( op(e0,e1) != e2
| op(e1,e0) != e2 )
& ( op(e0,e1) != e1
| op(e1,e0) != e1 )
& ( op(e0,e1) != e0
| op(e1,e0) != e0 ) )
| op(e1,e1) != e0 )
& op(e1,e1) = e0 )
| ( ( ( ( op(e3,e0) != e3
| op(e0,e3) != e3 )
& ( op(e3,e0) != e2
| op(e0,e3) != e2 )
& ( op(e3,e0) != e1
| op(e0,e3) != e1 )
& ( op(e3,e0) != e0
| op(e0,e3) != e0 ) )
| op(e0,e0) != e3 )
& op(e0,e0) = e3 )
| ( ( ( ( op(e2,e0) != e3
| op(e0,e2) != e3 )
& ( op(e2,e0) != e2
| op(e0,e2) != e2 )
& ( op(e2,e0) != e1
| op(e0,e2) != e1 )
& ( op(e2,e0) != e0
| op(e0,e2) != e0 ) )
| op(e0,e0) != e2 )
& op(e0,e0) = e2 )
| ( ( ( ( op(e1,e0) != e3
| op(e0,e1) != e3 )
& ( op(e1,e0) != e2
| op(e0,e1) != e2 )
& ( op(e1,e0) != e1
| op(e0,e1) != e1 )
& ( op(e1,e0) != e0
| op(e0,e1) != e0 ) )
| op(e0,e0) != e1 )
& op(e0,e0) = e1 )
| ( ( ( ( op(e0,e0) != e3
| op(e0,e0) != e3 )
& ( op(e0,e0) != e2
| op(e0,e0) != e2 )
& ( op(e0,e0) != e1
| op(e0,e0) != e1 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 ) )
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP19_prd])],[]) ).
fof(f333,plain,
( sP14_prd
<=> ( ( ( ( ( op(e3,e2) != e3
| op(e2,e3) != e3 )
& ( op(e3,e2) != e2
| op(e2,e3) != e2 )
& ( op(e3,e2) != e1
| op(e2,e3) != e1 )
& ( op(e3,e2) != e0
| op(e2,e3) != e0 ) )
| op(e2,e2) != e3 )
& op(e2,e2) = e3 )
| sP19_prd ) ),
inference(formula_renaming,[status(thm)],[f287,f332]) ).
fof(f334,definition,
( sP20_prd
<=> ( ( op(e3,e2) != e2
| op(e2,e3) != e2 )
& ( op(e3,e2) != e1
| op(e2,e3) != e1 )
& ( op(e3,e2) != e0
| op(e2,e3) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP20_prd])],[]) ).
fof(f335,plain,
( sP14_prd
<=> ( ( ( ( ( op(e3,e2) != e3
| op(e2,e3) != e3 )
& sP20_prd )
| op(e2,e2) != e3 )
& op(e2,e2) = e3 )
| sP19_prd ) ),
inference(formula_renaming,[status(thm)],[f333,f334]) ).
fof(f336,plain,
( ( ( ( ( ( ( op(e3,e2) = e3
& op(e2,e3) = e3 )
| ~ sP20_prd )
& op(e2,e2) = e3 )
| op(e2,e2) != e3 )
& ~ sP19_prd )
| sP14_prd )
& ( ( ( ( ( op(e3,e2) != e3
| op(e2,e3) != e3 )
& sP20_prd )
| op(e2,e2) != e3 )
& op(e2,e2) = e3 )
| sP19_prd
| ~ sP14_prd ) ),
inference(NNF_transformation,[status(thm)],[f335]) ).
fof(f337,plain,
( op(e2,e2) = e3
| sP19_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f336]) ).
fof(f338,plain,
( sP20_prd
| op(e2,e2) != e3
| sP19_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f336]) ).
fof(f340,plain,
( ~ sP19_prd
| sP14_prd ),
inference(cnf_transformation,[status(thm)],[f336]) ).
fof(f342,plain,
( op(e2,e3) = e3
| ~ sP20_prd
| op(e2,e2) != e3
| sP14_prd ),
inference(cnf_transformation,[status(thm)],[f336]) ).
fof(f344,definition,
( sP21_prd
<=> ( ( op(e0,e3) != e1
| op(e3,e0) != e1 )
& ( op(e0,e3) != e0
| op(e3,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP21_prd])],[]) ).
fof(f345,plain,
( sP15_prd
<=> ( ( op(e0,e3) != e2
| op(e3,e0) != e2 )
& sP21_prd ) ),
inference(formula_renaming,[status(thm)],[f289,f344]) ).
fof(f346,plain,
( ( ( op(e0,e3) = e2
& op(e3,e0) = e2 )
| ~ sP21_prd
| sP15_prd )
& ( ( ( op(e0,e3) != e2
| op(e3,e0) != e2 )
& sP21_prd )
| ~ sP15_prd ) ),
inference(NNF_transformation,[status(thm)],[f345]) ).
fof(f347,plain,
( sP21_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f346]) ).
fof(f348,plain,
( op(e0,e3) != e2
| op(e3,e0) != e2
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f346]) ).
fof(f349,plain,
( op(e3,e0) = e2
| ~ sP21_prd
| sP15_prd ),
inference(cnf_transformation,[status(thm)],[f346]) ).
fof(f350,plain,
( op(e0,e3) = e2
| ~ sP21_prd
| sP15_prd ),
inference(cnf_transformation,[status(thm)],[f346]) ).
fof(f351,plain,
( ( ( op(e1,e3) = e1
& op(e3,e1) = e1 )
| ( op(e1,e3) = e0
& op(e3,e1) = e0 )
| sP16_prd )
& ( ( ( op(e1,e3) != e1
| op(e3,e1) != e1 )
& ( op(e1,e3) != e0
| op(e3,e1) != e0 ) )
| ~ sP16_prd ) ),
inference(NNF_transformation,[status(thm)],[f299]) ).
fof(f352,plain,
( op(e1,e3) != e0
| op(e3,e1) != e0
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f351]) ).
fof(f353,plain,
( op(e1,e3) != e1
| op(e3,e1) != e1
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f351]) ).
fof(f354,plain,
( op(e3,e1) = e1
| op(e3,e1) = e0
| sP16_prd ),
inference(cnf_transformation,[status(thm)],[f351]) ).
fof(f355,plain,
( op(e1,e3) = e1
| op(e3,e1) = e0
| sP16_prd ),
inference(cnf_transformation,[status(thm)],[f351]) ).
fof(f356,plain,
( op(e3,e1) = e1
| op(e1,e3) = e0
| sP16_prd ),
inference(cnf_transformation,[status(thm)],[f351]) ).
fof(f357,plain,
( op(e1,e3) = e1
| op(e1,e3) = e0
| sP16_prd ),
inference(cnf_transformation,[status(thm)],[f351]) ).
fof(f358,definition,
( sP22_prd
<=> ( ( op(e3,e2) != e3
& op(e2,e2) != e2
& op(e1,e2) != e1
& op(e0,e2) != e0
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e3,e2) != e3
& op(e2,e2) != e2
& op(e1,e2) != e1
& op(e0,e2) != e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP22_prd])],[]) ).
fof(f359,plain,
( sP17_prd
<=> ( ( op(e3,e2) != e3
& op(e2,e2) != e2
& op(e1,e2) != e1
& op(e0,e2) != e0
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| sP22_prd ) ),
inference(formula_renaming,[status(thm)],[f313,f358]) ).
fof(f360,plain,
( ( ( ( op(e3,e2) = e3
| op(e2,e2) = e2
| op(e1,e2) = e1
| op(e0,e2) = e0
| op(e2,e2) != e2
| op(e2,e2) != e2 )
& ~ sP22_prd )
| sP17_prd )
& ( ( op(e3,e2) != e3
& op(e2,e2) != e2
& op(e1,e2) != e1
& op(e0,e2) != e0
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| sP22_prd
| ~ sP17_prd ) ),
inference(NNF_transformation,[status(thm)],[f359]) ).
fof(f361,plain,
( op(e2,e2) = e2
| sP22_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f360]) ).
fof(f363,plain,
( op(e0,e2) != e0
| sP22_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f360]) ).
fof(f364,plain,
( op(e1,e2) != e1
| sP22_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f360]) ).
fof(f365,plain,
( op(e2,e2) != e2
| sP22_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f360]) ).
fof(f366,plain,
( op(e3,e2) != e3
| sP22_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f360]) ).
fof(f367,plain,
( ~ sP22_prd
| sP17_prd ),
inference(cnf_transformation,[status(thm)],[f360]) ).
fof(f369,definition,
( sP23_prd
<=> ( ( op(e1,op(e2,e1)) = e1
& op(e1,e1) != op(e2,e1)
& op(e1,e2) = op(e2,e1) )
| ( op(e0,op(e2,e0)) = e0
& op(e0,e0) != op(e2,e0)
& op(e0,e2) = op(e2,e0) )
| ( op(e3,op(e1,e3)) = e3
& op(e3,e3) != op(e1,e3)
& op(e3,e1) = op(e1,e3) )
| ( op(e2,op(e1,e2)) = e2
& op(e2,e2) != op(e1,e2)
& op(e2,e1) = op(e1,e2) )
| ( op(e1,op(e1,e1)) = e1
& op(e1,e1) != op(e1,e1)
& op(e1,e1) = op(e1,e1) )
| ( op(e0,op(e1,e0)) = e0
& op(e0,e0) != op(e1,e0)
& op(e0,e1) = op(e1,e0) )
| ( op(e3,op(e0,e3)) = e3
& op(e3,e3) != op(e0,e3)
& op(e3,e0) = op(e0,e3) )
| ( op(e2,op(e0,e2)) = e2
& op(e2,e2) != op(e0,e2)
& op(e2,e0) = op(e0,e2) )
| ( op(e1,op(e0,e1)) = e1
& op(e1,e1) != op(e0,e1)
& op(e1,e0) = op(e0,e1) )
| ( op(e0,op(e0,e0)) = e0
& op(e0,e0) != op(e0,e0)
& op(e0,e0) = op(e0,e0) ) ) ),
introduced(definition,[new_symbols(definition,[sP23_prd])],[]) ).
fof(f370,plain,
( sP18_prd
<=> ( ( op(e2,op(e2,e2)) = e2
& op(e2,e2) != op(e2,e2)
& op(e2,e2) = op(e2,e2) )
| sP23_prd ) ),
inference(formula_renaming,[status(thm)],[f324,f369]) ).
fof(f371,plain,
( ( ( ( op(e2,op(e2,e2)) != e2
| op(e2,e2) = op(e2,e2)
| op(e2,e2) != op(e2,e2) )
& ~ sP23_prd )
| sP18_prd )
& ( ( op(e2,op(e2,e2)) = e2
& op(e2,e2) != op(e2,e2)
& op(e2,e2) = op(e2,e2) )
| sP23_prd
| ~ sP18_prd ) ),
inference(NNF_transformation,[status(thm)],[f370]) ).
fof(f372,plain,
( op(e2,e2) = op(e2,e2)
| sP23_prd
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f373,plain,
( op(e2,e2) != op(e2,e2)
| sP23_prd
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f374,plain,
( op(e2,op(e2,e2)) = e2
| sP23_prd
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f375,plain,
( ~ sP23_prd
| sP18_prd ),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f377,definition,
( sP24_prd
<=> ( ( ( ( ( op(e1,e2) != e3
| op(e2,e1) != e3 )
& ( op(e1,e2) != e2
| op(e2,e1) != e2 )
& ( op(e1,e2) != e1
| op(e2,e1) != e1 )
& ( op(e1,e2) != e0
| op(e2,e1) != e0 ) )
| op(e2,e2) != e1 )
& op(e2,e2) = e1 )
| ( ( ( ( op(e0,e2) != e3
| op(e2,e0) != e3 )
& ( op(e0,e2) != e2
| op(e2,e0) != e2 )
& ( op(e0,e2) != e1
| op(e2,e0) != e1 )
& ( op(e0,e2) != e0
| op(e2,e0) != e0 ) )
| op(e2,e2) != e0 )
& op(e2,e2) = e0 )
| ( ( ( ( op(e3,e1) != e3
| op(e1,e3) != e3 )
& ( op(e3,e1) != e2
| op(e1,e3) != e2 )
& ( op(e3,e1) != e1
| op(e1,e3) != e1 )
& ( op(e3,e1) != e0
| op(e1,e3) != e0 ) )
| op(e1,e1) != e3 )
& op(e1,e1) = e3 )
| ( ( ( ( op(e2,e1) != e3
| op(e1,e2) != e3 )
& ( op(e2,e1) != e2
| op(e1,e2) != e2 )
& ( op(e2,e1) != e1
| op(e1,e2) != e1 )
& ( op(e2,e1) != e0
| op(e1,e2) != e0 ) )
| op(e1,e1) != e2 )
& op(e1,e1) = e2 )
| ( ( ( ( op(e1,e1) != e3
| op(e1,e1) != e3 )
& ( op(e1,e1) != e2
| op(e1,e1) != e2 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e1) != e0 ) )
| op(e1,e1) != e1 )
& op(e1,e1) = e1 )
| ( ( ( ( op(e0,e1) != e3
| op(e1,e0) != e3 )
& ( op(e0,e1) != e2
| op(e1,e0) != e2 )
& ( op(e0,e1) != e1
| op(e1,e0) != e1 )
& ( op(e0,e1) != e0
| op(e1,e0) != e0 ) )
| op(e1,e1) != e0 )
& op(e1,e1) = e0 )
| ( ( ( ( op(e3,e0) != e3
| op(e0,e3) != e3 )
& ( op(e3,e0) != e2
| op(e0,e3) != e2 )
& ( op(e3,e0) != e1
| op(e0,e3) != e1 )
& ( op(e3,e0) != e0
| op(e0,e3) != e0 ) )
| op(e0,e0) != e3 )
& op(e0,e0) = e3 )
| ( ( ( ( op(e2,e0) != e3
| op(e0,e2) != e3 )
& ( op(e2,e0) != e2
| op(e0,e2) != e2 )
& ( op(e2,e0) != e1
| op(e0,e2) != e1 )
& ( op(e2,e0) != e0
| op(e0,e2) != e0 ) )
| op(e0,e0) != e2 )
& op(e0,e0) = e2 )
| ( ( ( ( op(e1,e0) != e3
| op(e0,e1) != e3 )
& ( op(e1,e0) != e2
| op(e0,e1) != e2 )
& ( op(e1,e0) != e1
| op(e0,e1) != e1 )
& ( op(e1,e0) != e0
| op(e0,e1) != e0 ) )
| op(e0,e0) != e1 )
& op(e0,e0) = e1 )
| ( ( ( ( op(e0,e0) != e3
| op(e0,e0) != e3 )
& ( op(e0,e0) != e2
| op(e0,e0) != e2 )
& ( op(e0,e0) != e1
| op(e0,e0) != e1 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 ) )
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP24_prd])],[]) ).
fof(f378,plain,
( sP19_prd
<=> ( ( ( ( ( op(e2,e2) != e3
| op(e2,e2) != e3 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e2) != e1 )
& ( op(e2,e2) != e0
| op(e2,e2) != e0 ) )
| op(e2,e2) != e2 )
& op(e2,e2) = e2 )
| sP24_prd ) ),
inference(formula_renaming,[status(thm)],[f332,f377]) ).
fof(f379,definition,
( sP25_prd
<=> ( ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e2) != e1 )
& ( op(e2,e2) != e0
| op(e2,e2) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP25_prd])],[]) ).
fof(f380,plain,
( sP19_prd
<=> ( ( ( ( ( op(e2,e2) != e3
| op(e2,e2) != e3 )
& sP25_prd )
| op(e2,e2) != e2 )
& op(e2,e2) = e2 )
| sP24_prd ) ),
inference(formula_renaming,[status(thm)],[f378,f379]) ).
fof(f381,plain,
( ( ( ( ( ( ( op(e2,e2) = e3
& op(e2,e2) = e3 )
| ~ sP25_prd )
& op(e2,e2) = e2 )
| op(e2,e2) != e2 )
& ~ sP24_prd )
| sP19_prd )
& ( ( ( ( ( op(e2,e2) != e3
| op(e2,e2) != e3 )
& sP25_prd )
| op(e2,e2) != e2 )
& op(e2,e2) = e2 )
| sP24_prd
| ~ sP19_prd ) ),
inference(NNF_transformation,[status(thm)],[f380]) ).
fof(f382,plain,
( op(e2,e2) = e2
| sP24_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f381]) ).
fof(f383,plain,
( sP25_prd
| op(e2,e2) != e2
| sP24_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f381]) ).
fof(f385,plain,
( ~ sP24_prd
| sP19_prd ),
inference(cnf_transformation,[status(thm)],[f381]) ).
fof(f389,definition,
( sP26_prd
<=> ( ( op(e3,e2) != e1
| op(e2,e3) != e1 )
& ( op(e3,e2) != e0
| op(e2,e3) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP26_prd])],[]) ).
fof(f390,plain,
( sP20_prd
<=> ( ( op(e3,e2) != e2
| op(e2,e3) != e2 )
& sP26_prd ) ),
inference(formula_renaming,[status(thm)],[f334,f389]) ).
fof(f391,plain,
( ( ( op(e3,e2) = e2
& op(e2,e3) = e2 )
| ~ sP26_prd
| sP20_prd )
& ( ( ( op(e3,e2) != e2
| op(e2,e3) != e2 )
& sP26_prd )
| ~ sP20_prd ) ),
inference(NNF_transformation,[status(thm)],[f390]) ).
fof(f392,plain,
( sP26_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f391]) ).
fof(f393,plain,
( op(e3,e2) != e2
| op(e2,e3) != e2
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f391]) ).
fof(f394,plain,
( op(e2,e3) = e2
| ~ sP26_prd
| sP20_prd ),
inference(cnf_transformation,[status(thm)],[f391]) ).
fof(f395,plain,
( op(e3,e2) = e2
| ~ sP26_prd
| sP20_prd ),
inference(cnf_transformation,[status(thm)],[f391]) ).
fof(f396,plain,
( ( ( op(e0,e3) = e1
& op(e3,e0) = e1 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0 )
| sP21_prd )
& ( ( ( op(e0,e3) != e1
| op(e3,e0) != e1 )
& ( op(e0,e3) != e0
| op(e3,e0) != e0 ) )
| ~ sP21_prd ) ),
inference(NNF_transformation,[status(thm)],[f344]) ).
fof(f397,plain,
( op(e0,e3) != e0
| op(e3,e0) != e0
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f396]) ).
fof(f398,plain,
( op(e0,e3) != e1
| op(e3,e0) != e1
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f396]) ).
fof(f399,plain,
( op(e3,e0) = e1
| op(e3,e0) = e0
| sP21_prd ),
inference(cnf_transformation,[status(thm)],[f396]) ).
fof(f400,plain,
( op(e0,e3) = e1
| op(e3,e0) = e0
| sP21_prd ),
inference(cnf_transformation,[status(thm)],[f396]) ).
fof(f401,plain,
( op(e3,e0) = e1
| op(e0,e3) = e0
| sP21_prd ),
inference(cnf_transformation,[status(thm)],[f396]) ).
fof(f402,plain,
( op(e0,e3) = e1
| op(e0,e3) = e0
| sP21_prd ),
inference(cnf_transformation,[status(thm)],[f396]) ).
fof(f403,definition,
( sP27_prd
<=> ( ( op(e3,e2) != e3
& op(e2,e2) != e2
& op(e1,e2) != e1
& op(e0,e2) != e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP27_prd])],[]) ).
fof(f404,plain,
( sP22_prd
<=> ( ( op(e3,e2) != e3
& op(e2,e2) != e2
& op(e1,e2) != e1
& op(e0,e2) != e0
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| sP27_prd ) ),
inference(formula_renaming,[status(thm)],[f358,f403]) ).
fof(f405,plain,
( ( ( ( op(e3,e2) = e3
| op(e2,e2) = e2
| op(e1,e2) = e1
| op(e0,e2) = e0
| op(e1,e2) != e2
| op(e2,e1) != e2 )
& ~ sP27_prd )
| sP22_prd )
& ( ( op(e3,e2) != e3
& op(e2,e2) != e2
& op(e1,e2) != e1
& op(e0,e2) != e0
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| sP27_prd
| ~ sP22_prd ) ),
inference(NNF_transformation,[status(thm)],[f404]) ).
fof(f406,plain,
( op(e2,e1) = e2
| sP27_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f405]) ).
fof(f407,plain,
( op(e1,e2) = e2
| sP27_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f405]) ).
fof(f408,plain,
( op(e0,e2) != e0
| sP27_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f405]) ).
fof(f409,plain,
( op(e1,e2) != e1
| sP27_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f405]) ).
fof(f410,plain,
( op(e2,e2) != e2
| sP27_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f405]) ).
fof(f411,plain,
( op(e3,e2) != e3
| sP27_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f405]) ).
fof(f412,plain,
( ~ sP27_prd
| sP22_prd ),
inference(cnf_transformation,[status(thm)],[f405]) ).
fof(f413,plain,
( op(e3,e2) = e3
| op(e2,e2) = e2
| op(e1,e2) = e1
| op(e0,e2) = e0
| op(e1,e2) != e2
| op(e2,e1) != e2
| sP22_prd ),
inference(cnf_transformation,[status(thm)],[f405]) ).
fof(f414,definition,
( sP28_prd
<=> ( ( op(e0,op(e2,e0)) = e0
& op(e0,e0) != op(e2,e0)
& op(e0,e2) = op(e2,e0) )
| ( op(e3,op(e1,e3)) = e3
& op(e3,e3) != op(e1,e3)
& op(e3,e1) = op(e1,e3) )
| ( op(e2,op(e1,e2)) = e2
& op(e2,e2) != op(e1,e2)
& op(e2,e1) = op(e1,e2) )
| ( op(e1,op(e1,e1)) = e1
& op(e1,e1) != op(e1,e1)
& op(e1,e1) = op(e1,e1) )
| ( op(e0,op(e1,e0)) = e0
& op(e0,e0) != op(e1,e0)
& op(e0,e1) = op(e1,e0) )
| ( op(e3,op(e0,e3)) = e3
& op(e3,e3) != op(e0,e3)
& op(e3,e0) = op(e0,e3) )
| ( op(e2,op(e0,e2)) = e2
& op(e2,e2) != op(e0,e2)
& op(e2,e0) = op(e0,e2) )
| ( op(e1,op(e0,e1)) = e1
& op(e1,e1) != op(e0,e1)
& op(e1,e0) = op(e0,e1) )
| ( op(e0,op(e0,e0)) = e0
& op(e0,e0) != op(e0,e0)
& op(e0,e0) = op(e0,e0) ) ) ),
introduced(definition,[new_symbols(definition,[sP28_prd])],[]) ).
fof(f415,plain,
( sP23_prd
<=> ( ( op(e1,op(e2,e1)) = e1
& op(e1,e1) != op(e2,e1)
& op(e1,e2) = op(e2,e1) )
| sP28_prd ) ),
inference(formula_renaming,[status(thm)],[f369,f414]) ).
fof(f416,plain,
( ( ( ( op(e1,op(e2,e1)) != e1
| op(e1,e1) = op(e2,e1)
| op(e1,e2) != op(e2,e1) )
& ~ sP28_prd )
| sP23_prd )
& ( ( op(e1,op(e2,e1)) = e1
& op(e1,e1) != op(e2,e1)
& op(e1,e2) = op(e2,e1) )
| sP28_prd
| ~ sP23_prd ) ),
inference(NNF_transformation,[status(thm)],[f415]) ).
fof(f417,plain,
( op(e1,e2) = op(e2,e1)
| sP28_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f419,plain,
( op(e1,op(e2,e1)) = e1
| sP28_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f420,plain,
( ~ sP28_prd
| sP23_prd ),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f421,plain,
( op(e1,op(e2,e1)) != e1
| op(e1,e1) = op(e2,e1)
| op(e1,e2) != op(e2,e1)
| sP23_prd ),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f422,definition,
( sP29_prd
<=> ( ( ( ( ( op(e0,e2) != e3
| op(e2,e0) != e3 )
& ( op(e0,e2) != e2
| op(e2,e0) != e2 )
& ( op(e0,e2) != e1
| op(e2,e0) != e1 )
& ( op(e0,e2) != e0
| op(e2,e0) != e0 ) )
| op(e2,e2) != e0 )
& op(e2,e2) = e0 )
| ( ( ( ( op(e3,e1) != e3
| op(e1,e3) != e3 )
& ( op(e3,e1) != e2
| op(e1,e3) != e2 )
& ( op(e3,e1) != e1
| op(e1,e3) != e1 )
& ( op(e3,e1) != e0
| op(e1,e3) != e0 ) )
| op(e1,e1) != e3 )
& op(e1,e1) = e3 )
| ( ( ( ( op(e2,e1) != e3
| op(e1,e2) != e3 )
& ( op(e2,e1) != e2
| op(e1,e2) != e2 )
& ( op(e2,e1) != e1
| op(e1,e2) != e1 )
& ( op(e2,e1) != e0
| op(e1,e2) != e0 ) )
| op(e1,e1) != e2 )
& op(e1,e1) = e2 )
| ( ( ( ( op(e1,e1) != e3
| op(e1,e1) != e3 )
& ( op(e1,e1) != e2
| op(e1,e1) != e2 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e1) != e0 ) )
| op(e1,e1) != e1 )
& op(e1,e1) = e1 )
| ( ( ( ( op(e0,e1) != e3
| op(e1,e0) != e3 )
& ( op(e0,e1) != e2
| op(e1,e0) != e2 )
& ( op(e0,e1) != e1
| op(e1,e0) != e1 )
& ( op(e0,e1) != e0
| op(e1,e0) != e0 ) )
| op(e1,e1) != e0 )
& op(e1,e1) = e0 )
| ( ( ( ( op(e3,e0) != e3
| op(e0,e3) != e3 )
& ( op(e3,e0) != e2
| op(e0,e3) != e2 )
& ( op(e3,e0) != e1
| op(e0,e3) != e1 )
& ( op(e3,e0) != e0
| op(e0,e3) != e0 ) )
| op(e0,e0) != e3 )
& op(e0,e0) = e3 )
| ( ( ( ( op(e2,e0) != e3
| op(e0,e2) != e3 )
& ( op(e2,e0) != e2
| op(e0,e2) != e2 )
& ( op(e2,e0) != e1
| op(e0,e2) != e1 )
& ( op(e2,e0) != e0
| op(e0,e2) != e0 ) )
| op(e0,e0) != e2 )
& op(e0,e0) = e2 )
| ( ( ( ( op(e1,e0) != e3
| op(e0,e1) != e3 )
& ( op(e1,e0) != e2
| op(e0,e1) != e2 )
& ( op(e1,e0) != e1
| op(e0,e1) != e1 )
& ( op(e1,e0) != e0
| op(e0,e1) != e0 ) )
| op(e0,e0) != e1 )
& op(e0,e0) = e1 )
| ( ( ( ( op(e0,e0) != e3
| op(e0,e0) != e3 )
& ( op(e0,e0) != e2
| op(e0,e0) != e2 )
& ( op(e0,e0) != e1
| op(e0,e0) != e1 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 ) )
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP29_prd])],[]) ).
fof(f423,plain,
( sP24_prd
<=> ( ( ( ( ( op(e1,e2) != e3
| op(e2,e1) != e3 )
& ( op(e1,e2) != e2
| op(e2,e1) != e2 )
& ( op(e1,e2) != e1
| op(e2,e1) != e1 )
& ( op(e1,e2) != e0
| op(e2,e1) != e0 ) )
| op(e2,e2) != e1 )
& op(e2,e2) = e1 )
| sP29_prd ) ),
inference(formula_renaming,[status(thm)],[f377,f422]) ).
fof(f424,definition,
( sP30_prd
<=> ( ( op(e1,e2) != e2
| op(e2,e1) != e2 )
& ( op(e1,e2) != e1
| op(e2,e1) != e1 )
& ( op(e1,e2) != e0
| op(e2,e1) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP30_prd])],[]) ).
fof(f425,plain,
( sP24_prd
<=> ( ( ( ( ( op(e1,e2) != e3
| op(e2,e1) != e3 )
& sP30_prd )
| op(e2,e2) != e1 )
& op(e2,e2) = e1 )
| sP29_prd ) ),
inference(formula_renaming,[status(thm)],[f423,f424]) ).
fof(f426,plain,
( ( ( ( ( ( ( op(e1,e2) = e3
& op(e2,e1) = e3 )
| ~ sP30_prd )
& op(e2,e2) = e1 )
| op(e2,e2) != e1 )
& ~ sP29_prd )
| sP24_prd )
& ( ( ( ( ( op(e1,e2) != e3
| op(e2,e1) != e3 )
& sP30_prd )
| op(e2,e2) != e1 )
& op(e2,e2) = e1 )
| sP29_prd
| ~ sP24_prd ) ),
inference(NNF_transformation,[status(thm)],[f425]) ).
fof(f427,plain,
( op(e2,e2) = e1
| sP29_prd
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f426]) ).
fof(f428,plain,
( sP30_prd
| op(e2,e2) != e1
| sP29_prd
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f426]) ).
fof(f429,plain,
( op(e1,e2) != e3
| op(e2,e1) != e3
| op(e2,e2) != e1
| sP29_prd
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f426]) ).
fof(f430,plain,
( ~ sP29_prd
| sP24_prd ),
inference(cnf_transformation,[status(thm)],[f426]) ).
fof(f432,plain,
( op(e2,e1) = e3
| ~ sP30_prd
| op(e2,e2) != e1
| sP24_prd ),
inference(cnf_transformation,[status(thm)],[f426]) ).
fof(f433,plain,
( op(e1,e2) = e3
| ~ sP30_prd
| op(e2,e2) != e1
| sP24_prd ),
inference(cnf_transformation,[status(thm)],[f426]) ).
fof(f434,definition,
( sP31_prd
<=> ( ( op(e2,e2) != e1
| op(e2,e2) != e1 )
& ( op(e2,e2) != e0
| op(e2,e2) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP31_prd])],[]) ).
fof(f435,plain,
( sP25_prd
<=> ( ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& sP31_prd ) ),
inference(formula_renaming,[status(thm)],[f379,f434]) ).
fof(f436,plain,
( ( ( op(e2,e2) = e2
& op(e2,e2) = e2 )
| ~ sP31_prd
| sP25_prd )
& ( ( ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& sP31_prd )
| ~ sP25_prd ) ),
inference(NNF_transformation,[status(thm)],[f435]) ).
fof(f437,plain,
( sP31_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f436]) ).
fof(f438,plain,
( op(e2,e2) != e2
| op(e2,e2) != e2
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f436]) ).
fof(f439,plain,
( op(e2,e2) = e2
| ~ sP31_prd
| sP25_prd ),
inference(cnf_transformation,[status(thm)],[f436]) ).
fof(f441,plain,
( ( ( op(e3,e2) = e1
& op(e2,e3) = e1 )
| ( op(e3,e2) = e0
& op(e2,e3) = e0 )
| sP26_prd )
& ( ( ( op(e3,e2) != e1
| op(e2,e3) != e1 )
& ( op(e3,e2) != e0
| op(e2,e3) != e0 ) )
| ~ sP26_prd ) ),
inference(NNF_transformation,[status(thm)],[f389]) ).
fof(f442,plain,
( op(e3,e2) != e0
| op(e2,e3) != e0
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f441]) ).
fof(f443,plain,
( op(e3,e2) != e1
| op(e2,e3) != e1
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f441]) ).
fof(f444,plain,
( op(e2,e3) = e1
| op(e2,e3) = e0
| sP26_prd ),
inference(cnf_transformation,[status(thm)],[f441]) ).
fof(f445,plain,
( op(e3,e2) = e1
| op(e2,e3) = e0
| sP26_prd ),
inference(cnf_transformation,[status(thm)],[f441]) ).
fof(f446,plain,
( op(e2,e3) = e1
| op(e3,e2) = e0
| sP26_prd ),
inference(cnf_transformation,[status(thm)],[f441]) ).
fof(f447,plain,
( op(e3,e2) = e1
| op(e3,e2) = e0
| sP26_prd ),
inference(cnf_transformation,[status(thm)],[f441]) ).
fof(f448,definition,
( sP32_prd
<=> ( ( op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP32_prd])],[]) ).
fof(f449,plain,
( sP27_prd
<=> ( ( op(e3,e2) != e3
& op(e2,e2) != e2
& op(e1,e2) != e1
& op(e0,e2) != e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| sP32_prd ) ),
inference(formula_renaming,[status(thm)],[f403,f448]) ).
fof(f450,plain,
( ( ( ( op(e3,e2) = e3
| op(e2,e2) = e2
| op(e1,e2) = e1
| op(e0,e2) = e0
| op(e0,e2) != e2
| op(e2,e0) != e2 )
& ~ sP32_prd )
| sP27_prd )
& ( ( op(e3,e2) != e3
& op(e2,e2) != e2
& op(e1,e2) != e1
& op(e0,e2) != e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| sP32_prd
| ~ sP27_prd ) ),
inference(NNF_transformation,[status(thm)],[f449]) ).
fof(f451,plain,
( op(e2,e0) = e2
| sP32_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f450]) ).
fof(f452,plain,
( op(e0,e2) = e2
| sP32_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f450]) ).
fof(f453,plain,
( op(e0,e2) != e0
| sP32_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f450]) ).
fof(f454,plain,
( op(e1,e2) != e1
| sP32_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f450]) ).
fof(f455,plain,
( op(e2,e2) != e2
| sP32_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f450]) ).
fof(f456,plain,
( op(e3,e2) != e3
| sP32_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f450]) ).
fof(f457,plain,
( ~ sP32_prd
| sP27_prd ),
inference(cnf_transformation,[status(thm)],[f450]) ).
fof(f458,plain,
( op(e3,e2) = e3
| op(e2,e2) = e2
| op(e1,e2) = e1
| op(e0,e2) = e0
| op(e0,e2) != e2
| op(e2,e0) != e2
| sP27_prd ),
inference(cnf_transformation,[status(thm)],[f450]) ).
fof(f459,definition,
( sP33_prd
<=> ( ( op(e3,op(e1,e3)) = e3
& op(e3,e3) != op(e1,e3)
& op(e3,e1) = op(e1,e3) )
| ( op(e2,op(e1,e2)) = e2
& op(e2,e2) != op(e1,e2)
& op(e2,e1) = op(e1,e2) )
| ( op(e1,op(e1,e1)) = e1
& op(e1,e1) != op(e1,e1)
& op(e1,e1) = op(e1,e1) )
| ( op(e0,op(e1,e0)) = e0
& op(e0,e0) != op(e1,e0)
& op(e0,e1) = op(e1,e0) )
| ( op(e3,op(e0,e3)) = e3
& op(e3,e3) != op(e0,e3)
& op(e3,e0) = op(e0,e3) )
| ( op(e2,op(e0,e2)) = e2
& op(e2,e2) != op(e0,e2)
& op(e2,e0) = op(e0,e2) )
| ( op(e1,op(e0,e1)) = e1
& op(e1,e1) != op(e0,e1)
& op(e1,e0) = op(e0,e1) )
| ( op(e0,op(e0,e0)) = e0
& op(e0,e0) != op(e0,e0)
& op(e0,e0) = op(e0,e0) ) ) ),
introduced(definition,[new_symbols(definition,[sP33_prd])],[]) ).
fof(f460,plain,
( sP28_prd
<=> ( ( op(e0,op(e2,e0)) = e0
& op(e0,e0) != op(e2,e0)
& op(e0,e2) = op(e2,e0) )
| sP33_prd ) ),
inference(formula_renaming,[status(thm)],[f414,f459]) ).
fof(f461,plain,
( ( ( ( op(e0,op(e2,e0)) != e0
| op(e0,e0) = op(e2,e0)
| op(e0,e2) != op(e2,e0) )
& ~ sP33_prd )
| sP28_prd )
& ( ( op(e0,op(e2,e0)) = e0
& op(e0,e0) != op(e2,e0)
& op(e0,e2) = op(e2,e0) )
| sP33_prd
| ~ sP28_prd ) ),
inference(NNF_transformation,[status(thm)],[f460]) ).
fof(f462,plain,
( op(e0,e2) = op(e2,e0)
| sP33_prd
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f461]) ).
fof(f464,plain,
( op(e0,op(e2,e0)) = e0
| sP33_prd
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f461]) ).
fof(f465,plain,
( ~ sP33_prd
| sP28_prd ),
inference(cnf_transformation,[status(thm)],[f461]) ).
fof(f466,plain,
( op(e0,op(e2,e0)) != e0
| op(e0,e0) = op(e2,e0)
| op(e0,e2) != op(e2,e0)
| sP28_prd ),
inference(cnf_transformation,[status(thm)],[f461]) ).
fof(f467,definition,
( sP34_prd
<=> ( ( ( ( ( op(e3,e1) != e3
| op(e1,e3) != e3 )
& ( op(e3,e1) != e2
| op(e1,e3) != e2 )
& ( op(e3,e1) != e1
| op(e1,e3) != e1 )
& ( op(e3,e1) != e0
| op(e1,e3) != e0 ) )
| op(e1,e1) != e3 )
& op(e1,e1) = e3 )
| ( ( ( ( op(e2,e1) != e3
| op(e1,e2) != e3 )
& ( op(e2,e1) != e2
| op(e1,e2) != e2 )
& ( op(e2,e1) != e1
| op(e1,e2) != e1 )
& ( op(e2,e1) != e0
| op(e1,e2) != e0 ) )
| op(e1,e1) != e2 )
& op(e1,e1) = e2 )
| ( ( ( ( op(e1,e1) != e3
| op(e1,e1) != e3 )
& ( op(e1,e1) != e2
| op(e1,e1) != e2 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e1) != e0 ) )
| op(e1,e1) != e1 )
& op(e1,e1) = e1 )
| ( ( ( ( op(e0,e1) != e3
| op(e1,e0) != e3 )
& ( op(e0,e1) != e2
| op(e1,e0) != e2 )
& ( op(e0,e1) != e1
| op(e1,e0) != e1 )
& ( op(e0,e1) != e0
| op(e1,e0) != e0 ) )
| op(e1,e1) != e0 )
& op(e1,e1) = e0 )
| ( ( ( ( op(e3,e0) != e3
| op(e0,e3) != e3 )
& ( op(e3,e0) != e2
| op(e0,e3) != e2 )
& ( op(e3,e0) != e1
| op(e0,e3) != e1 )
& ( op(e3,e0) != e0
| op(e0,e3) != e0 ) )
| op(e0,e0) != e3 )
& op(e0,e0) = e3 )
| ( ( ( ( op(e2,e0) != e3
| op(e0,e2) != e3 )
& ( op(e2,e0) != e2
| op(e0,e2) != e2 )
& ( op(e2,e0) != e1
| op(e0,e2) != e1 )
& ( op(e2,e0) != e0
| op(e0,e2) != e0 ) )
| op(e0,e0) != e2 )
& op(e0,e0) = e2 )
| ( ( ( ( op(e1,e0) != e3
| op(e0,e1) != e3 )
& ( op(e1,e0) != e2
| op(e0,e1) != e2 )
& ( op(e1,e0) != e1
| op(e0,e1) != e1 )
& ( op(e1,e0) != e0
| op(e0,e1) != e0 ) )
| op(e0,e0) != e1 )
& op(e0,e0) = e1 )
| ( ( ( ( op(e0,e0) != e3
| op(e0,e0) != e3 )
& ( op(e0,e0) != e2
| op(e0,e0) != e2 )
& ( op(e0,e0) != e1
| op(e0,e0) != e1 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 ) )
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP34_prd])],[]) ).
fof(f468,plain,
( sP29_prd
<=> ( ( ( ( ( op(e0,e2) != e3
| op(e2,e0) != e3 )
& ( op(e0,e2) != e2
| op(e2,e0) != e2 )
& ( op(e0,e2) != e1
| op(e2,e0) != e1 )
& ( op(e0,e2) != e0
| op(e2,e0) != e0 ) )
| op(e2,e2) != e0 )
& op(e2,e2) = e0 )
| sP34_prd ) ),
inference(formula_renaming,[status(thm)],[f422,f467]) ).
fof(f469,definition,
( sP35_prd
<=> ( ( op(e0,e2) != e2
| op(e2,e0) != e2 )
& ( op(e0,e2) != e1
| op(e2,e0) != e1 )
& ( op(e0,e2) != e0
| op(e2,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP35_prd])],[]) ).
fof(f470,plain,
( sP29_prd
<=> ( ( ( ( ( op(e0,e2) != e3
| op(e2,e0) != e3 )
& sP35_prd )
| op(e2,e2) != e0 )
& op(e2,e2) = e0 )
| sP34_prd ) ),
inference(formula_renaming,[status(thm)],[f468,f469]) ).
fof(f471,plain,
( ( ( ( ( ( ( op(e0,e2) = e3
& op(e2,e0) = e3 )
| ~ sP35_prd )
& op(e2,e2) = e0 )
| op(e2,e2) != e0 )
& ~ sP34_prd )
| sP29_prd )
& ( ( ( ( ( op(e0,e2) != e3
| op(e2,e0) != e3 )
& sP35_prd )
| op(e2,e2) != e0 )
& op(e2,e2) = e0 )
| sP34_prd
| ~ sP29_prd ) ),
inference(NNF_transformation,[status(thm)],[f470]) ).
fof(f472,plain,
( op(e2,e2) = e0
| sP34_prd
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f471]) ).
fof(f473,plain,
( sP35_prd
| op(e2,e2) != e0
| sP34_prd
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f471]) ).
fof(f474,plain,
( op(e0,e2) != e3
| op(e2,e0) != e3
| op(e2,e2) != e0
| sP34_prd
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f471]) ).
fof(f475,plain,
( ~ sP34_prd
| sP29_prd ),
inference(cnf_transformation,[status(thm)],[f471]) ).
fof(f477,plain,
( op(e2,e0) = e3
| ~ sP35_prd
| op(e2,e2) != e0
| sP29_prd ),
inference(cnf_transformation,[status(thm)],[f471]) ).
fof(f478,plain,
( op(e0,e2) = e3
| ~ sP35_prd
| op(e2,e2) != e0
| sP29_prd ),
inference(cnf_transformation,[status(thm)],[f471]) ).
fof(f479,definition,
( sP36_prd
<=> ( ( op(e1,e2) != e1
| op(e2,e1) != e1 )
& ( op(e1,e2) != e0
| op(e2,e1) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP36_prd])],[]) ).
fof(f480,plain,
( sP30_prd
<=> ( ( op(e1,e2) != e2
| op(e2,e1) != e2 )
& sP36_prd ) ),
inference(formula_renaming,[status(thm)],[f424,f479]) ).
fof(f481,plain,
( ( ( op(e1,e2) = e2
& op(e2,e1) = e2 )
| ~ sP36_prd
| sP30_prd )
& ( ( ( op(e1,e2) != e2
| op(e2,e1) != e2 )
& sP36_prd )
| ~ sP30_prd ) ),
inference(NNF_transformation,[status(thm)],[f480]) ).
fof(f482,plain,
( sP36_prd
| ~ sP30_prd ),
inference(cnf_transformation,[status(thm)],[f481]) ).
fof(f483,plain,
( op(e1,e2) != e2
| op(e2,e1) != e2
| ~ sP30_prd ),
inference(cnf_transformation,[status(thm)],[f481]) ).
fof(f484,plain,
( op(e2,e1) = e2
| ~ sP36_prd
| sP30_prd ),
inference(cnf_transformation,[status(thm)],[f481]) ).
fof(f485,plain,
( op(e1,e2) = e2
| ~ sP36_prd
| sP30_prd ),
inference(cnf_transformation,[status(thm)],[f481]) ).
fof(f486,plain,
( ( ( op(e2,e2) = e1
& op(e2,e2) = e1 )
| ( op(e2,e2) = e0
& op(e2,e2) = e0 )
| sP31_prd )
& ( ( ( op(e2,e2) != e1
| op(e2,e2) != e1 )
& ( op(e2,e2) != e0
| op(e2,e2) != e0 ) )
| ~ sP31_prd ) ),
inference(NNF_transformation,[status(thm)],[f434]) ).
fof(f487,plain,
( op(e2,e2) != e0
| op(e2,e2) != e0
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f486]) ).
fof(f488,plain,
( op(e2,e2) != e1
| op(e2,e2) != e1
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f486]) ).
fof(f489,plain,
( op(e2,e2) = e1
| op(e2,e2) = e0
| sP31_prd ),
inference(cnf_transformation,[status(thm)],[f486]) ).
fof(f493,definition,
( sP37_prd
<=> ( ( op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP37_prd])],[]) ).
fof(f494,plain,
( sP32_prd
<=> ( ( op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| sP37_prd ) ),
inference(formula_renaming,[status(thm)],[f448,f493]) ).
fof(f495,plain,
( ( ( ( op(e3,e1) = e3
| op(e2,e1) = e2
| op(e1,e1) = e1
| op(e0,e1) = e0
| op(e3,e1) != e1
| op(e1,e3) != e1 )
& ~ sP37_prd )
| sP32_prd )
& ( ( op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| sP37_prd
| ~ sP32_prd ) ),
inference(NNF_transformation,[status(thm)],[f494]) ).
fof(f496,plain,
( op(e1,e3) = e1
| sP37_prd
| ~ sP32_prd ),
inference(cnf_transformation,[status(thm)],[f495]) ).
fof(f497,plain,
( op(e3,e1) = e1
| sP37_prd
| ~ sP32_prd ),
inference(cnf_transformation,[status(thm)],[f495]) ).
fof(f498,plain,
( op(e0,e1) != e0
| sP37_prd
| ~ sP32_prd ),
inference(cnf_transformation,[status(thm)],[f495]) ).
fof(f499,plain,
( op(e1,e1) != e1
| sP37_prd
| ~ sP32_prd ),
inference(cnf_transformation,[status(thm)],[f495]) ).
fof(f500,plain,
( op(e2,e1) != e2
| sP37_prd
| ~ sP32_prd ),
inference(cnf_transformation,[status(thm)],[f495]) ).
fof(f501,plain,
( op(e3,e1) != e3
| sP37_prd
| ~ sP32_prd ),
inference(cnf_transformation,[status(thm)],[f495]) ).
fof(f502,plain,
( ~ sP37_prd
| sP32_prd ),
inference(cnf_transformation,[status(thm)],[f495]) ).
fof(f503,plain,
( op(e3,e1) = e3
| op(e2,e1) = e2
| op(e1,e1) = e1
| op(e0,e1) = e0
| op(e3,e1) != e1
| op(e1,e3) != e1
| sP32_prd ),
inference(cnf_transformation,[status(thm)],[f495]) ).
fof(f504,definition,
( sP38_prd
<=> ( ( op(e2,op(e1,e2)) = e2
& op(e2,e2) != op(e1,e2)
& op(e2,e1) = op(e1,e2) )
| ( op(e1,op(e1,e1)) = e1
& op(e1,e1) != op(e1,e1)
& op(e1,e1) = op(e1,e1) )
| ( op(e0,op(e1,e0)) = e0
& op(e0,e0) != op(e1,e0)
& op(e0,e1) = op(e1,e0) )
| ( op(e3,op(e0,e3)) = e3
& op(e3,e3) != op(e0,e3)
& op(e3,e0) = op(e0,e3) )
| ( op(e2,op(e0,e2)) = e2
& op(e2,e2) != op(e0,e2)
& op(e2,e0) = op(e0,e2) )
| ( op(e1,op(e0,e1)) = e1
& op(e1,e1) != op(e0,e1)
& op(e1,e0) = op(e0,e1) )
| ( op(e0,op(e0,e0)) = e0
& op(e0,e0) != op(e0,e0)
& op(e0,e0) = op(e0,e0) ) ) ),
introduced(definition,[new_symbols(definition,[sP38_prd])],[]) ).
fof(f505,plain,
( sP33_prd
<=> ( ( op(e3,op(e1,e3)) = e3
& op(e3,e3) != op(e1,e3)
& op(e3,e1) = op(e1,e3) )
| sP38_prd ) ),
inference(formula_renaming,[status(thm)],[f459,f504]) ).
fof(f506,plain,
( ( ( ( op(e3,op(e1,e3)) != e3
| op(e3,e3) = op(e1,e3)
| op(e3,e1) != op(e1,e3) )
& ~ sP38_prd )
| sP33_prd )
& ( ( op(e3,op(e1,e3)) = e3
& op(e3,e3) != op(e1,e3)
& op(e3,e1) = op(e1,e3) )
| sP38_prd
| ~ sP33_prd ) ),
inference(NNF_transformation,[status(thm)],[f505]) ).
fof(f507,plain,
( op(e3,e1) = op(e1,e3)
| sP38_prd
| ~ sP33_prd ),
inference(cnf_transformation,[status(thm)],[f506]) ).
fof(f509,plain,
( op(e3,op(e1,e3)) = e3
| sP38_prd
| ~ sP33_prd ),
inference(cnf_transformation,[status(thm)],[f506]) ).
fof(f510,plain,
( ~ sP38_prd
| sP33_prd ),
inference(cnf_transformation,[status(thm)],[f506]) ).
fof(f511,plain,
( op(e3,op(e1,e3)) != e3
| op(e3,e3) = op(e1,e3)
| op(e3,e1) != op(e1,e3)
| sP33_prd ),
inference(cnf_transformation,[status(thm)],[f506]) ).
fof(f512,definition,
( sP39_prd
<=> ( ( ( ( ( op(e2,e1) != e3
| op(e1,e2) != e3 )
& ( op(e2,e1) != e2
| op(e1,e2) != e2 )
& ( op(e2,e1) != e1
| op(e1,e2) != e1 )
& ( op(e2,e1) != e0
| op(e1,e2) != e0 ) )
| op(e1,e1) != e2 )
& op(e1,e1) = e2 )
| ( ( ( ( op(e1,e1) != e3
| op(e1,e1) != e3 )
& ( op(e1,e1) != e2
| op(e1,e1) != e2 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e1) != e0 ) )
| op(e1,e1) != e1 )
& op(e1,e1) = e1 )
| ( ( ( ( op(e0,e1) != e3
| op(e1,e0) != e3 )
& ( op(e0,e1) != e2
| op(e1,e0) != e2 )
& ( op(e0,e1) != e1
| op(e1,e0) != e1 )
& ( op(e0,e1) != e0
| op(e1,e0) != e0 ) )
| op(e1,e1) != e0 )
& op(e1,e1) = e0 )
| ( ( ( ( op(e3,e0) != e3
| op(e0,e3) != e3 )
& ( op(e3,e0) != e2
| op(e0,e3) != e2 )
& ( op(e3,e0) != e1
| op(e0,e3) != e1 )
& ( op(e3,e0) != e0
| op(e0,e3) != e0 ) )
| op(e0,e0) != e3 )
& op(e0,e0) = e3 )
| ( ( ( ( op(e2,e0) != e3
| op(e0,e2) != e3 )
& ( op(e2,e0) != e2
| op(e0,e2) != e2 )
& ( op(e2,e0) != e1
| op(e0,e2) != e1 )
& ( op(e2,e0) != e0
| op(e0,e2) != e0 ) )
| op(e0,e0) != e2 )
& op(e0,e0) = e2 )
| ( ( ( ( op(e1,e0) != e3
| op(e0,e1) != e3 )
& ( op(e1,e0) != e2
| op(e0,e1) != e2 )
& ( op(e1,e0) != e1
| op(e0,e1) != e1 )
& ( op(e1,e0) != e0
| op(e0,e1) != e0 ) )
| op(e0,e0) != e1 )
& op(e0,e0) = e1 )
| ( ( ( ( op(e0,e0) != e3
| op(e0,e0) != e3 )
& ( op(e0,e0) != e2
| op(e0,e0) != e2 )
& ( op(e0,e0) != e1
| op(e0,e0) != e1 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 ) )
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP39_prd])],[]) ).
fof(f513,plain,
( sP34_prd
<=> ( ( ( ( ( op(e3,e1) != e3
| op(e1,e3) != e3 )
& ( op(e3,e1) != e2
| op(e1,e3) != e2 )
& ( op(e3,e1) != e1
| op(e1,e3) != e1 )
& ( op(e3,e1) != e0
| op(e1,e3) != e0 ) )
| op(e1,e1) != e3 )
& op(e1,e1) = e3 )
| sP39_prd ) ),
inference(formula_renaming,[status(thm)],[f467,f512]) ).
fof(f514,definition,
( sP40_prd
<=> ( ( op(e3,e1) != e2
| op(e1,e3) != e2 )
& ( op(e3,e1) != e1
| op(e1,e3) != e1 )
& ( op(e3,e1) != e0
| op(e1,e3) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP40_prd])],[]) ).
fof(f515,plain,
( sP34_prd
<=> ( ( ( ( ( op(e3,e1) != e3
| op(e1,e3) != e3 )
& sP40_prd )
| op(e1,e1) != e3 )
& op(e1,e1) = e3 )
| sP39_prd ) ),
inference(formula_renaming,[status(thm)],[f513,f514]) ).
fof(f516,plain,
( ( ( ( ( ( ( op(e3,e1) = e3
& op(e1,e3) = e3 )
| ~ sP40_prd )
& op(e1,e1) = e3 )
| op(e1,e1) != e3 )
& ~ sP39_prd )
| sP34_prd )
& ( ( ( ( ( op(e3,e1) != e3
| op(e1,e3) != e3 )
& sP40_prd )
| op(e1,e1) != e3 )
& op(e1,e1) = e3 )
| sP39_prd
| ~ sP34_prd ) ),
inference(NNF_transformation,[status(thm)],[f515]) ).
fof(f517,plain,
( op(e1,e1) = e3
| sP39_prd
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f516]) ).
fof(f518,plain,
( sP40_prd
| op(e1,e1) != e3
| sP39_prd
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f516]) ).
fof(f520,plain,
( ~ sP39_prd
| sP34_prd ),
inference(cnf_transformation,[status(thm)],[f516]) ).
fof(f522,plain,
( op(e1,e3) = e3
| ~ sP40_prd
| op(e1,e1) != e3
| sP34_prd ),
inference(cnf_transformation,[status(thm)],[f516]) ).
fof(f523,plain,
( op(e3,e1) = e3
| ~ sP40_prd
| op(e1,e1) != e3
| sP34_prd ),
inference(cnf_transformation,[status(thm)],[f516]) ).
fof(f524,definition,
( sP41_prd
<=> ( ( op(e0,e2) != e1
| op(e2,e0) != e1 )
& ( op(e0,e2) != e0
| op(e2,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP41_prd])],[]) ).
fof(f525,plain,
( sP35_prd
<=> ( ( op(e0,e2) != e2
| op(e2,e0) != e2 )
& sP41_prd ) ),
inference(formula_renaming,[status(thm)],[f469,f524]) ).
fof(f526,plain,
( ( ( op(e0,e2) = e2
& op(e2,e0) = e2 )
| ~ sP41_prd
| sP35_prd )
& ( ( ( op(e0,e2) != e2
| op(e2,e0) != e2 )
& sP41_prd )
| ~ sP35_prd ) ),
inference(NNF_transformation,[status(thm)],[f525]) ).
fof(f527,plain,
( sP41_prd
| ~ sP35_prd ),
inference(cnf_transformation,[status(thm)],[f526]) ).
fof(f528,plain,
( op(e0,e2) != e2
| op(e2,e0) != e2
| ~ sP35_prd ),
inference(cnf_transformation,[status(thm)],[f526]) ).
fof(f529,plain,
( op(e2,e0) = e2
| ~ sP41_prd
| sP35_prd ),
inference(cnf_transformation,[status(thm)],[f526]) ).
fof(f530,plain,
( op(e0,e2) = e2
| ~ sP41_prd
| sP35_prd ),
inference(cnf_transformation,[status(thm)],[f526]) ).
fof(f531,plain,
( ( ( op(e1,e2) = e1
& op(e2,e1) = e1 )
| ( op(e1,e2) = e0
& op(e2,e1) = e0 )
| sP36_prd )
& ( ( ( op(e1,e2) != e1
| op(e2,e1) != e1 )
& ( op(e1,e2) != e0
| op(e2,e1) != e0 ) )
| ~ sP36_prd ) ),
inference(NNF_transformation,[status(thm)],[f479]) ).
fof(f532,plain,
( op(e1,e2) != e0
| op(e2,e1) != e0
| ~ sP36_prd ),
inference(cnf_transformation,[status(thm)],[f531]) ).
fof(f533,plain,
( op(e1,e2) != e1
| op(e2,e1) != e1
| ~ sP36_prd ),
inference(cnf_transformation,[status(thm)],[f531]) ).
fof(f534,plain,
( op(e2,e1) = e1
| op(e2,e1) = e0
| sP36_prd ),
inference(cnf_transformation,[status(thm)],[f531]) ).
fof(f535,plain,
( op(e1,e2) = e1
| op(e2,e1) = e0
| sP36_prd ),
inference(cnf_transformation,[status(thm)],[f531]) ).
fof(f536,plain,
( op(e2,e1) = e1
| op(e1,e2) = e0
| sP36_prd ),
inference(cnf_transformation,[status(thm)],[f531]) ).
fof(f537,plain,
( op(e1,e2) = e1
| op(e1,e2) = e0
| sP36_prd ),
inference(cnf_transformation,[status(thm)],[f531]) ).
fof(f538,definition,
( sP42_prd
<=> ( ( op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP42_prd])],[]) ).
fof(f539,plain,
( sP37_prd
<=> ( ( op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| sP42_prd ) ),
inference(formula_renaming,[status(thm)],[f493,f538]) ).
fof(f540,plain,
( ( ( ( op(e3,e1) = e3
| op(e2,e1) = e2
| op(e1,e1) = e1
| op(e0,e1) = e0
| op(e2,e1) != e1
| op(e1,e2) != e1 )
& ~ sP42_prd )
| sP37_prd )
& ( ( op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| sP42_prd
| ~ sP37_prd ) ),
inference(NNF_transformation,[status(thm)],[f539]) ).
fof(f541,plain,
( op(e1,e2) = e1
| sP42_prd
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f540]) ).
fof(f542,plain,
( op(e2,e1) = e1
| sP42_prd
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f540]) ).
fof(f543,plain,
( op(e0,e1) != e0
| sP42_prd
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f540]) ).
fof(f544,plain,
( op(e1,e1) != e1
| sP42_prd
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f540]) ).
fof(f545,plain,
( op(e2,e1) != e2
| sP42_prd
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f540]) ).
fof(f546,plain,
( op(e3,e1) != e3
| sP42_prd
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f540]) ).
fof(f547,plain,
( ~ sP42_prd
| sP37_prd ),
inference(cnf_transformation,[status(thm)],[f540]) ).
fof(f548,plain,
( op(e3,e1) = e3
| op(e2,e1) = e2
| op(e1,e1) = e1
| op(e0,e1) = e0
| op(e2,e1) != e1
| op(e1,e2) != e1
| sP37_prd ),
inference(cnf_transformation,[status(thm)],[f540]) ).
fof(f549,definition,
( sP43_prd
<=> ( ( op(e1,op(e1,e1)) = e1
& op(e1,e1) != op(e1,e1)
& op(e1,e1) = op(e1,e1) )
| ( op(e0,op(e1,e0)) = e0
& op(e0,e0) != op(e1,e0)
& op(e0,e1) = op(e1,e0) )
| ( op(e3,op(e0,e3)) = e3
& op(e3,e3) != op(e0,e3)
& op(e3,e0) = op(e0,e3) )
| ( op(e2,op(e0,e2)) = e2
& op(e2,e2) != op(e0,e2)
& op(e2,e0) = op(e0,e2) )
| ( op(e1,op(e0,e1)) = e1
& op(e1,e1) != op(e0,e1)
& op(e1,e0) = op(e0,e1) )
| ( op(e0,op(e0,e0)) = e0
& op(e0,e0) != op(e0,e0)
& op(e0,e0) = op(e0,e0) ) ) ),
introduced(definition,[new_symbols(definition,[sP43_prd])],[]) ).
fof(f550,plain,
( sP38_prd
<=> ( ( op(e2,op(e1,e2)) = e2
& op(e2,e2) != op(e1,e2)
& op(e2,e1) = op(e1,e2) )
| sP43_prd ) ),
inference(formula_renaming,[status(thm)],[f504,f549]) ).
fof(f551,plain,
( ( ( ( op(e2,op(e1,e2)) != e2
| op(e2,e2) = op(e1,e2)
| op(e2,e1) != op(e1,e2) )
& ~ sP43_prd )
| sP38_prd )
& ( ( op(e2,op(e1,e2)) = e2
& op(e2,e2) != op(e1,e2)
& op(e2,e1) = op(e1,e2) )
| sP43_prd
| ~ sP38_prd ) ),
inference(NNF_transformation,[status(thm)],[f550]) ).
fof(f552,plain,
( op(e2,e1) = op(e1,e2)
| sP43_prd
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f551]) ).
fof(f554,plain,
( op(e2,op(e1,e2)) = e2
| sP43_prd
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f551]) ).
fof(f555,plain,
( ~ sP43_prd
| sP38_prd ),
inference(cnf_transformation,[status(thm)],[f551]) ).
fof(f556,plain,
( op(e2,op(e1,e2)) != e2
| op(e2,e2) = op(e1,e2)
| op(e2,e1) != op(e1,e2)
| sP38_prd ),
inference(cnf_transformation,[status(thm)],[f551]) ).
fof(f557,definition,
( sP44_prd
<=> ( ( ( ( ( op(e1,e1) != e3
| op(e1,e1) != e3 )
& ( op(e1,e1) != e2
| op(e1,e1) != e2 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e1) != e0 ) )
| op(e1,e1) != e1 )
& op(e1,e1) = e1 )
| ( ( ( ( op(e0,e1) != e3
| op(e1,e0) != e3 )
& ( op(e0,e1) != e2
| op(e1,e0) != e2 )
& ( op(e0,e1) != e1
| op(e1,e0) != e1 )
& ( op(e0,e1) != e0
| op(e1,e0) != e0 ) )
| op(e1,e1) != e0 )
& op(e1,e1) = e0 )
| ( ( ( ( op(e3,e0) != e3
| op(e0,e3) != e3 )
& ( op(e3,e0) != e2
| op(e0,e3) != e2 )
& ( op(e3,e0) != e1
| op(e0,e3) != e1 )
& ( op(e3,e0) != e0
| op(e0,e3) != e0 ) )
| op(e0,e0) != e3 )
& op(e0,e0) = e3 )
| ( ( ( ( op(e2,e0) != e3
| op(e0,e2) != e3 )
& ( op(e2,e0) != e2
| op(e0,e2) != e2 )
& ( op(e2,e0) != e1
| op(e0,e2) != e1 )
& ( op(e2,e0) != e0
| op(e0,e2) != e0 ) )
| op(e0,e0) != e2 )
& op(e0,e0) = e2 )
| ( ( ( ( op(e1,e0) != e3
| op(e0,e1) != e3 )
& ( op(e1,e0) != e2
| op(e0,e1) != e2 )
& ( op(e1,e0) != e1
| op(e0,e1) != e1 )
& ( op(e1,e0) != e0
| op(e0,e1) != e0 ) )
| op(e0,e0) != e1 )
& op(e0,e0) = e1 )
| ( ( ( ( op(e0,e0) != e3
| op(e0,e0) != e3 )
& ( op(e0,e0) != e2
| op(e0,e0) != e2 )
& ( op(e0,e0) != e1
| op(e0,e0) != e1 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 ) )
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP44_prd])],[]) ).
fof(f558,plain,
( sP39_prd
<=> ( ( ( ( ( op(e2,e1) != e3
| op(e1,e2) != e3 )
& ( op(e2,e1) != e2
| op(e1,e2) != e2 )
& ( op(e2,e1) != e1
| op(e1,e2) != e1 )
& ( op(e2,e1) != e0
| op(e1,e2) != e0 ) )
| op(e1,e1) != e2 )
& op(e1,e1) = e2 )
| sP44_prd ) ),
inference(formula_renaming,[status(thm)],[f512,f557]) ).
fof(f559,definition,
( sP45_prd
<=> ( ( op(e2,e1) != e2
| op(e1,e2) != e2 )
& ( op(e2,e1) != e1
| op(e1,e2) != e1 )
& ( op(e2,e1) != e0
| op(e1,e2) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP45_prd])],[]) ).
fof(f560,plain,
( sP39_prd
<=> ( ( ( ( ( op(e2,e1) != e3
| op(e1,e2) != e3 )
& sP45_prd )
| op(e1,e1) != e2 )
& op(e1,e1) = e2 )
| sP44_prd ) ),
inference(formula_renaming,[status(thm)],[f558,f559]) ).
fof(f561,plain,
( ( ( ( ( ( ( op(e2,e1) = e3
& op(e1,e2) = e3 )
| ~ sP45_prd )
& op(e1,e1) = e2 )
| op(e1,e1) != e2 )
& ~ sP44_prd )
| sP39_prd )
& ( ( ( ( ( op(e2,e1) != e3
| op(e1,e2) != e3 )
& sP45_prd )
| op(e1,e1) != e2 )
& op(e1,e1) = e2 )
| sP44_prd
| ~ sP39_prd ) ),
inference(NNF_transformation,[status(thm)],[f560]) ).
fof(f562,plain,
( op(e1,e1) = e2
| sP44_prd
| ~ sP39_prd ),
inference(cnf_transformation,[status(thm)],[f561]) ).
fof(f563,plain,
( sP45_prd
| op(e1,e1) != e2
| sP44_prd
| ~ sP39_prd ),
inference(cnf_transformation,[status(thm)],[f561]) ).
fof(f564,plain,
( op(e2,e1) != e3
| op(e1,e2) != e3
| op(e1,e1) != e2
| sP44_prd
| ~ sP39_prd ),
inference(cnf_transformation,[status(thm)],[f561]) ).
fof(f565,plain,
( ~ sP44_prd
| sP39_prd ),
inference(cnf_transformation,[status(thm)],[f561]) ).
fof(f567,plain,
( op(e1,e2) = e3
| ~ sP45_prd
| op(e1,e1) != e2
| sP39_prd ),
inference(cnf_transformation,[status(thm)],[f561]) ).
fof(f569,definition,
( sP46_prd
<=> ( ( op(e3,e1) != e1
| op(e1,e3) != e1 )
& ( op(e3,e1) != e0
| op(e1,e3) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP46_prd])],[]) ).
fof(f570,plain,
( sP40_prd
<=> ( ( op(e3,e1) != e2
| op(e1,e3) != e2 )
& sP46_prd ) ),
inference(formula_renaming,[status(thm)],[f514,f569]) ).
fof(f571,plain,
( ( ( op(e3,e1) = e2
& op(e1,e3) = e2 )
| ~ sP46_prd
| sP40_prd )
& ( ( ( op(e3,e1) != e2
| op(e1,e3) != e2 )
& sP46_prd )
| ~ sP40_prd ) ),
inference(NNF_transformation,[status(thm)],[f570]) ).
fof(f572,plain,
( sP46_prd
| ~ sP40_prd ),
inference(cnf_transformation,[status(thm)],[f571]) ).
fof(f573,plain,
( op(e3,e1) != e2
| op(e1,e3) != e2
| ~ sP40_prd ),
inference(cnf_transformation,[status(thm)],[f571]) ).
fof(f574,plain,
( op(e1,e3) = e2
| ~ sP46_prd
| sP40_prd ),
inference(cnf_transformation,[status(thm)],[f571]) ).
fof(f575,plain,
( op(e3,e1) = e2
| ~ sP46_prd
| sP40_prd ),
inference(cnf_transformation,[status(thm)],[f571]) ).
fof(f576,plain,
( ( ( op(e0,e2) = e1
& op(e2,e0) = e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0 )
| sP41_prd )
& ( ( ( op(e0,e2) != e1
| op(e2,e0) != e1 )
& ( op(e0,e2) != e0
| op(e2,e0) != e0 ) )
| ~ sP41_prd ) ),
inference(NNF_transformation,[status(thm)],[f524]) ).
fof(f577,plain,
( op(e0,e2) != e0
| op(e2,e0) != e0
| ~ sP41_prd ),
inference(cnf_transformation,[status(thm)],[f576]) ).
fof(f578,plain,
( op(e0,e2) != e1
| op(e2,e0) != e1
| ~ sP41_prd ),
inference(cnf_transformation,[status(thm)],[f576]) ).
fof(f579,plain,
( op(e2,e0) = e1
| op(e2,e0) = e0
| sP41_prd ),
inference(cnf_transformation,[status(thm)],[f576]) ).
fof(f580,plain,
( op(e0,e2) = e1
| op(e2,e0) = e0
| sP41_prd ),
inference(cnf_transformation,[status(thm)],[f576]) ).
fof(f581,plain,
( op(e2,e0) = e1
| op(e0,e2) = e0
| sP41_prd ),
inference(cnf_transformation,[status(thm)],[f576]) ).
fof(f582,plain,
( op(e0,e2) = e1
| op(e0,e2) = e0
| sP41_prd ),
inference(cnf_transformation,[status(thm)],[f576]) ).
fof(f583,definition,
( sP47_prd
<=> ( ( op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP47_prd])],[]) ).
fof(f584,plain,
( sP42_prd
<=> ( ( op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| sP47_prd ) ),
inference(formula_renaming,[status(thm)],[f538,f583]) ).
fof(f585,plain,
( ( ( ( op(e3,e1) = e3
| op(e2,e1) = e2
| op(e1,e1) = e1
| op(e0,e1) = e0
| op(e1,e1) != e1
| op(e1,e1) != e1 )
& ~ sP47_prd )
| sP42_prd )
& ( ( op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| sP47_prd
| ~ sP42_prd ) ),
inference(NNF_transformation,[status(thm)],[f584]) ).
fof(f586,plain,
( op(e1,e1) = e1
| sP47_prd
| ~ sP42_prd ),
inference(cnf_transformation,[status(thm)],[f585]) ).
fof(f588,plain,
( op(e0,e1) != e0
| sP47_prd
| ~ sP42_prd ),
inference(cnf_transformation,[status(thm)],[f585]) ).
fof(f589,plain,
( op(e1,e1) != e1
| sP47_prd
| ~ sP42_prd ),
inference(cnf_transformation,[status(thm)],[f585]) ).
fof(f590,plain,
( op(e2,e1) != e2
| sP47_prd
| ~ sP42_prd ),
inference(cnf_transformation,[status(thm)],[f585]) ).
fof(f591,plain,
( op(e3,e1) != e3
| sP47_prd
| ~ sP42_prd ),
inference(cnf_transformation,[status(thm)],[f585]) ).
fof(f592,plain,
( ~ sP47_prd
| sP42_prd ),
inference(cnf_transformation,[status(thm)],[f585]) ).
fof(f594,definition,
( sP48_prd
<=> ( ( op(e0,op(e1,e0)) = e0
& op(e0,e0) != op(e1,e0)
& op(e0,e1) = op(e1,e0) )
| ( op(e3,op(e0,e3)) = e3
& op(e3,e3) != op(e0,e3)
& op(e3,e0) = op(e0,e3) )
| ( op(e2,op(e0,e2)) = e2
& op(e2,e2) != op(e0,e2)
& op(e2,e0) = op(e0,e2) )
| ( op(e1,op(e0,e1)) = e1
& op(e1,e1) != op(e0,e1)
& op(e1,e0) = op(e0,e1) )
| ( op(e0,op(e0,e0)) = e0
& op(e0,e0) != op(e0,e0)
& op(e0,e0) = op(e0,e0) ) ) ),
introduced(definition,[new_symbols(definition,[sP48_prd])],[]) ).
fof(f595,plain,
( sP43_prd
<=> ( ( op(e1,op(e1,e1)) = e1
& op(e1,e1) != op(e1,e1)
& op(e1,e1) = op(e1,e1) )
| sP48_prd ) ),
inference(formula_renaming,[status(thm)],[f549,f594]) ).
fof(f596,plain,
( ( ( ( op(e1,op(e1,e1)) != e1
| op(e1,e1) = op(e1,e1)
| op(e1,e1) != op(e1,e1) )
& ~ sP48_prd )
| sP43_prd )
& ( ( op(e1,op(e1,e1)) = e1
& op(e1,e1) != op(e1,e1)
& op(e1,e1) = op(e1,e1) )
| sP48_prd
| ~ sP43_prd ) ),
inference(NNF_transformation,[status(thm)],[f595]) ).
fof(f597,plain,
( op(e1,e1) = op(e1,e1)
| sP48_prd
| ~ sP43_prd ),
inference(cnf_transformation,[status(thm)],[f596]) ).
fof(f598,plain,
( op(e1,e1) != op(e1,e1)
| sP48_prd
| ~ sP43_prd ),
inference(cnf_transformation,[status(thm)],[f596]) ).
fof(f599,plain,
( op(e1,op(e1,e1)) = e1
| sP48_prd
| ~ sP43_prd ),
inference(cnf_transformation,[status(thm)],[f596]) ).
fof(f600,plain,
( ~ sP48_prd
| sP43_prd ),
inference(cnf_transformation,[status(thm)],[f596]) ).
fof(f602,definition,
( sP49_prd
<=> ( ( ( ( ( op(e0,e1) != e3
| op(e1,e0) != e3 )
& ( op(e0,e1) != e2
| op(e1,e0) != e2 )
& ( op(e0,e1) != e1
| op(e1,e0) != e1 )
& ( op(e0,e1) != e0
| op(e1,e0) != e0 ) )
| op(e1,e1) != e0 )
& op(e1,e1) = e0 )
| ( ( ( ( op(e3,e0) != e3
| op(e0,e3) != e3 )
& ( op(e3,e0) != e2
| op(e0,e3) != e2 )
& ( op(e3,e0) != e1
| op(e0,e3) != e1 )
& ( op(e3,e0) != e0
| op(e0,e3) != e0 ) )
| op(e0,e0) != e3 )
& op(e0,e0) = e3 )
| ( ( ( ( op(e2,e0) != e3
| op(e0,e2) != e3 )
& ( op(e2,e0) != e2
| op(e0,e2) != e2 )
& ( op(e2,e0) != e1
| op(e0,e2) != e1 )
& ( op(e2,e0) != e0
| op(e0,e2) != e0 ) )
| op(e0,e0) != e2 )
& op(e0,e0) = e2 )
| ( ( ( ( op(e1,e0) != e3
| op(e0,e1) != e3 )
& ( op(e1,e0) != e2
| op(e0,e1) != e2 )
& ( op(e1,e0) != e1
| op(e0,e1) != e1 )
& ( op(e1,e0) != e0
| op(e0,e1) != e0 ) )
| op(e0,e0) != e1 )
& op(e0,e0) = e1 )
| ( ( ( ( op(e0,e0) != e3
| op(e0,e0) != e3 )
& ( op(e0,e0) != e2
| op(e0,e0) != e2 )
& ( op(e0,e0) != e1
| op(e0,e0) != e1 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 ) )
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP49_prd])],[]) ).
fof(f603,plain,
( sP44_prd
<=> ( ( ( ( ( op(e1,e1) != e3
| op(e1,e1) != e3 )
& ( op(e1,e1) != e2
| op(e1,e1) != e2 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e1) != e0 ) )
| op(e1,e1) != e1 )
& op(e1,e1) = e1 )
| sP49_prd ) ),
inference(formula_renaming,[status(thm)],[f557,f602]) ).
fof(f604,definition,
( sP50_prd
<=> ( ( op(e1,e1) != e2
| op(e1,e1) != e2 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e1) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP50_prd])],[]) ).
fof(f605,plain,
( sP44_prd
<=> ( ( ( ( ( op(e1,e1) != e3
| op(e1,e1) != e3 )
& sP50_prd )
| op(e1,e1) != e1 )
& op(e1,e1) = e1 )
| sP49_prd ) ),
inference(formula_renaming,[status(thm)],[f603,f604]) ).
fof(f606,plain,
( ( ( ( ( ( ( op(e1,e1) = e3
& op(e1,e1) = e3 )
| ~ sP50_prd )
& op(e1,e1) = e1 )
| op(e1,e1) != e1 )
& ~ sP49_prd )
| sP44_prd )
& ( ( ( ( ( op(e1,e1) != e3
| op(e1,e1) != e3 )
& sP50_prd )
| op(e1,e1) != e1 )
& op(e1,e1) = e1 )
| sP49_prd
| ~ sP44_prd ) ),
inference(NNF_transformation,[status(thm)],[f605]) ).
fof(f607,plain,
( op(e1,e1) = e1
| sP49_prd
| ~ sP44_prd ),
inference(cnf_transformation,[status(thm)],[f606]) ).
fof(f608,plain,
( sP50_prd
| op(e1,e1) != e1
| sP49_prd
| ~ sP44_prd ),
inference(cnf_transformation,[status(thm)],[f606]) ).
fof(f610,plain,
( ~ sP49_prd
| sP44_prd ),
inference(cnf_transformation,[status(thm)],[f606]) ).
fof(f614,definition,
( sP51_prd
<=> ( ( op(e2,e1) != e1
| op(e1,e2) != e1 )
& ( op(e2,e1) != e0
| op(e1,e2) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP51_prd])],[]) ).
fof(f615,plain,
( sP45_prd
<=> ( ( op(e2,e1) != e2
| op(e1,e2) != e2 )
& sP51_prd ) ),
inference(formula_renaming,[status(thm)],[f559,f614]) ).
fof(f616,plain,
( ( ( op(e2,e1) = e2
& op(e1,e2) = e2 )
| ~ sP51_prd
| sP45_prd )
& ( ( ( op(e2,e1) != e2
| op(e1,e2) != e2 )
& sP51_prd )
| ~ sP45_prd ) ),
inference(NNF_transformation,[status(thm)],[f615]) ).
fof(f617,plain,
( sP51_prd
| ~ sP45_prd ),
inference(cnf_transformation,[status(thm)],[f616]) ).
fof(f618,plain,
( op(e2,e1) != e2
| op(e1,e2) != e2
| ~ sP45_prd ),
inference(cnf_transformation,[status(thm)],[f616]) ).
fof(f619,plain,
( op(e1,e2) = e2
| ~ sP51_prd
| sP45_prd ),
inference(cnf_transformation,[status(thm)],[f616]) ).
fof(f620,plain,
( op(e2,e1) = e2
| ~ sP51_prd
| sP45_prd ),
inference(cnf_transformation,[status(thm)],[f616]) ).
fof(f621,plain,
( ( ( op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e1) = e0
& op(e1,e3) = e0 )
| sP46_prd )
& ( ( ( op(e3,e1) != e1
| op(e1,e3) != e1 )
& ( op(e3,e1) != e0
| op(e1,e3) != e0 ) )
| ~ sP46_prd ) ),
inference(NNF_transformation,[status(thm)],[f569]) ).
fof(f622,plain,
( op(e3,e1) != e0
| op(e1,e3) != e0
| ~ sP46_prd ),
inference(cnf_transformation,[status(thm)],[f621]) ).
fof(f623,plain,
( op(e3,e1) != e1
| op(e1,e3) != e1
| ~ sP46_prd ),
inference(cnf_transformation,[status(thm)],[f621]) ).
fof(f624,plain,
( op(e1,e3) = e1
| op(e1,e3) = e0
| sP46_prd ),
inference(cnf_transformation,[status(thm)],[f621]) ).
fof(f625,plain,
( op(e3,e1) = e1
| op(e1,e3) = e0
| sP46_prd ),
inference(cnf_transformation,[status(thm)],[f621]) ).
fof(f626,plain,
( op(e1,e3) = e1
| op(e3,e1) = e0
| sP46_prd ),
inference(cnf_transformation,[status(thm)],[f621]) ).
fof(f627,plain,
( op(e3,e1) = e1
| op(e3,e1) = e0
| sP46_prd ),
inference(cnf_transformation,[status(thm)],[f621]) ).
fof(f628,definition,
( sP52_prd
<=> ( ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP52_prd])],[]) ).
fof(f629,plain,
( sP47_prd
<=> ( ( op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| sP52_prd ) ),
inference(formula_renaming,[status(thm)],[f583,f628]) ).
fof(f630,plain,
( ( ( ( op(e3,e1) = e3
| op(e2,e1) = e2
| op(e1,e1) = e1
| op(e0,e1) = e0
| op(e0,e1) != e1
| op(e1,e0) != e1 )
& ~ sP52_prd )
| sP47_prd )
& ( ( op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| sP52_prd
| ~ sP47_prd ) ),
inference(NNF_transformation,[status(thm)],[f629]) ).
fof(f631,plain,
( op(e1,e0) = e1
| sP52_prd
| ~ sP47_prd ),
inference(cnf_transformation,[status(thm)],[f630]) ).
fof(f632,plain,
( op(e0,e1) = e1
| sP52_prd
| ~ sP47_prd ),
inference(cnf_transformation,[status(thm)],[f630]) ).
fof(f633,plain,
( op(e0,e1) != e0
| sP52_prd
| ~ sP47_prd ),
inference(cnf_transformation,[status(thm)],[f630]) ).
fof(f634,plain,
( op(e1,e1) != e1
| sP52_prd
| ~ sP47_prd ),
inference(cnf_transformation,[status(thm)],[f630]) ).
fof(f635,plain,
( op(e2,e1) != e2
| sP52_prd
| ~ sP47_prd ),
inference(cnf_transformation,[status(thm)],[f630]) ).
fof(f636,plain,
( op(e3,e1) != e3
| sP52_prd
| ~ sP47_prd ),
inference(cnf_transformation,[status(thm)],[f630]) ).
fof(f637,plain,
( ~ sP52_prd
| sP47_prd ),
inference(cnf_transformation,[status(thm)],[f630]) ).
fof(f638,plain,
( op(e3,e1) = e3
| op(e2,e1) = e2
| op(e1,e1) = e1
| op(e0,e1) = e0
| op(e0,e1) != e1
| op(e1,e0) != e1
| sP47_prd ),
inference(cnf_transformation,[status(thm)],[f630]) ).
fof(f639,definition,
( sP53_prd
<=> ( ( op(e3,op(e0,e3)) = e3
& op(e3,e3) != op(e0,e3)
& op(e3,e0) = op(e0,e3) )
| ( op(e2,op(e0,e2)) = e2
& op(e2,e2) != op(e0,e2)
& op(e2,e0) = op(e0,e2) )
| ( op(e1,op(e0,e1)) = e1
& op(e1,e1) != op(e0,e1)
& op(e1,e0) = op(e0,e1) )
| ( op(e0,op(e0,e0)) = e0
& op(e0,e0) != op(e0,e0)
& op(e0,e0) = op(e0,e0) ) ) ),
introduced(definition,[new_symbols(definition,[sP53_prd])],[]) ).
fof(f640,plain,
( sP48_prd
<=> ( ( op(e0,op(e1,e0)) = e0
& op(e0,e0) != op(e1,e0)
& op(e0,e1) = op(e1,e0) )
| sP53_prd ) ),
inference(formula_renaming,[status(thm)],[f594,f639]) ).
fof(f641,plain,
( ( ( ( op(e0,op(e1,e0)) != e0
| op(e0,e0) = op(e1,e0)
| op(e0,e1) != op(e1,e0) )
& ~ sP53_prd )
| sP48_prd )
& ( ( op(e0,op(e1,e0)) = e0
& op(e0,e0) != op(e1,e0)
& op(e0,e1) = op(e1,e0) )
| sP53_prd
| ~ sP48_prd ) ),
inference(NNF_transformation,[status(thm)],[f640]) ).
fof(f642,plain,
( op(e0,e1) = op(e1,e0)
| sP53_prd
| ~ sP48_prd ),
inference(cnf_transformation,[status(thm)],[f641]) ).
fof(f644,plain,
( op(e0,op(e1,e0)) = e0
| sP53_prd
| ~ sP48_prd ),
inference(cnf_transformation,[status(thm)],[f641]) ).
fof(f645,plain,
( ~ sP53_prd
| sP48_prd ),
inference(cnf_transformation,[status(thm)],[f641]) ).
fof(f646,plain,
( op(e0,op(e1,e0)) != e0
| op(e0,e0) = op(e1,e0)
| op(e0,e1) != op(e1,e0)
| sP48_prd ),
inference(cnf_transformation,[status(thm)],[f641]) ).
fof(f647,definition,
( sP54_prd
<=> ( ( ( ( ( op(e3,e0) != e3
| op(e0,e3) != e3 )
& ( op(e3,e0) != e2
| op(e0,e3) != e2 )
& ( op(e3,e0) != e1
| op(e0,e3) != e1 )
& ( op(e3,e0) != e0
| op(e0,e3) != e0 ) )
| op(e0,e0) != e3 )
& op(e0,e0) = e3 )
| ( ( ( ( op(e2,e0) != e3
| op(e0,e2) != e3 )
& ( op(e2,e0) != e2
| op(e0,e2) != e2 )
& ( op(e2,e0) != e1
| op(e0,e2) != e1 )
& ( op(e2,e0) != e0
| op(e0,e2) != e0 ) )
| op(e0,e0) != e2 )
& op(e0,e0) = e2 )
| ( ( ( ( op(e1,e0) != e3
| op(e0,e1) != e3 )
& ( op(e1,e0) != e2
| op(e0,e1) != e2 )
& ( op(e1,e0) != e1
| op(e0,e1) != e1 )
& ( op(e1,e0) != e0
| op(e0,e1) != e0 ) )
| op(e0,e0) != e1 )
& op(e0,e0) = e1 )
| ( ( ( ( op(e0,e0) != e3
| op(e0,e0) != e3 )
& ( op(e0,e0) != e2
| op(e0,e0) != e2 )
& ( op(e0,e0) != e1
| op(e0,e0) != e1 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 ) )
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP54_prd])],[]) ).
fof(f648,plain,
( sP49_prd
<=> ( ( ( ( ( op(e0,e1) != e3
| op(e1,e0) != e3 )
& ( op(e0,e1) != e2
| op(e1,e0) != e2 )
& ( op(e0,e1) != e1
| op(e1,e0) != e1 )
& ( op(e0,e1) != e0
| op(e1,e0) != e0 ) )
| op(e1,e1) != e0 )
& op(e1,e1) = e0 )
| sP54_prd ) ),
inference(formula_renaming,[status(thm)],[f602,f647]) ).
fof(f649,definition,
( sP55_prd
<=> ( ( op(e0,e1) != e2
| op(e1,e0) != e2 )
& ( op(e0,e1) != e1
| op(e1,e0) != e1 )
& ( op(e0,e1) != e0
| op(e1,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP55_prd])],[]) ).
fof(f650,plain,
( sP49_prd
<=> ( ( ( ( ( op(e0,e1) != e3
| op(e1,e0) != e3 )
& sP55_prd )
| op(e1,e1) != e0 )
& op(e1,e1) = e0 )
| sP54_prd ) ),
inference(formula_renaming,[status(thm)],[f648,f649]) ).
fof(f651,plain,
( ( ( ( ( ( ( op(e0,e1) = e3
& op(e1,e0) = e3 )
| ~ sP55_prd )
& op(e1,e1) = e0 )
| op(e1,e1) != e0 )
& ~ sP54_prd )
| sP49_prd )
& ( ( ( ( ( op(e0,e1) != e3
| op(e1,e0) != e3 )
& sP55_prd )
| op(e1,e1) != e0 )
& op(e1,e1) = e0 )
| sP54_prd
| ~ sP49_prd ) ),
inference(NNF_transformation,[status(thm)],[f650]) ).
fof(f652,plain,
( op(e1,e1) = e0
| sP54_prd
| ~ sP49_prd ),
inference(cnf_transformation,[status(thm)],[f651]) ).
fof(f653,plain,
( sP55_prd
| op(e1,e1) != e0
| sP54_prd
| ~ sP49_prd ),
inference(cnf_transformation,[status(thm)],[f651]) ).
fof(f654,plain,
( op(e0,e1) != e3
| op(e1,e0) != e3
| op(e1,e1) != e0
| sP54_prd
| ~ sP49_prd ),
inference(cnf_transformation,[status(thm)],[f651]) ).
fof(f655,plain,
( ~ sP54_prd
| sP49_prd ),
inference(cnf_transformation,[status(thm)],[f651]) ).
fof(f657,plain,
( op(e1,e0) = e3
| ~ sP55_prd
| op(e1,e1) != e0
| sP49_prd ),
inference(cnf_transformation,[status(thm)],[f651]) ).
fof(f658,plain,
( op(e0,e1) = e3
| ~ sP55_prd
| op(e1,e1) != e0
| sP49_prd ),
inference(cnf_transformation,[status(thm)],[f651]) ).
fof(f659,definition,
( sP56_prd
<=> ( ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e1) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP56_prd])],[]) ).
fof(f660,plain,
( sP50_prd
<=> ( ( op(e1,e1) != e2
| op(e1,e1) != e2 )
& sP56_prd ) ),
inference(formula_renaming,[status(thm)],[f604,f659]) ).
fof(f661,plain,
( ( ( op(e1,e1) = e2
& op(e1,e1) = e2 )
| ~ sP56_prd
| sP50_prd )
& ( ( ( op(e1,e1) != e2
| op(e1,e1) != e2 )
& sP56_prd )
| ~ sP50_prd ) ),
inference(NNF_transformation,[status(thm)],[f660]) ).
fof(f662,plain,
( sP56_prd
| ~ sP50_prd ),
inference(cnf_transformation,[status(thm)],[f661]) ).
fof(f663,plain,
( op(e1,e1) != e2
| op(e1,e1) != e2
| ~ sP50_prd ),
inference(cnf_transformation,[status(thm)],[f661]) ).
fof(f664,plain,
( op(e1,e1) = e2
| ~ sP56_prd
| sP50_prd ),
inference(cnf_transformation,[status(thm)],[f661]) ).
fof(f666,plain,
( ( ( op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e2,e1) = e0
& op(e1,e2) = e0 )
| sP51_prd )
& ( ( ( op(e2,e1) != e1
| op(e1,e2) != e1 )
& ( op(e2,e1) != e0
| op(e1,e2) != e0 ) )
| ~ sP51_prd ) ),
inference(NNF_transformation,[status(thm)],[f614]) ).
fof(f667,plain,
( op(e2,e1) != e0
| op(e1,e2) != e0
| ~ sP51_prd ),
inference(cnf_transformation,[status(thm)],[f666]) ).
fof(f668,plain,
( op(e2,e1) != e1
| op(e1,e2) != e1
| ~ sP51_prd ),
inference(cnf_transformation,[status(thm)],[f666]) ).
fof(f669,plain,
( op(e1,e2) = e1
| op(e1,e2) = e0
| sP51_prd ),
inference(cnf_transformation,[status(thm)],[f666]) ).
fof(f670,plain,
( op(e2,e1) = e1
| op(e1,e2) = e0
| sP51_prd ),
inference(cnf_transformation,[status(thm)],[f666]) ).
fof(f671,plain,
( op(e1,e2) = e1
| op(e2,e1) = e0
| sP51_prd ),
inference(cnf_transformation,[status(thm)],[f666]) ).
fof(f672,plain,
( op(e2,e1) = e1
| op(e2,e1) = e0
| sP51_prd ),
inference(cnf_transformation,[status(thm)],[f666]) ).
fof(f673,definition,
( sP57_prd
<=> ( ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP57_prd])],[]) ).
fof(f674,plain,
( sP52_prd
<=> ( ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| sP57_prd ) ),
inference(formula_renaming,[status(thm)],[f628,f673]) ).
fof(f675,plain,
( ( ( ( op(e3,e0) = e3
| op(e2,e0) = e2
| op(e1,e0) = e1
| op(e0,e0) = e0
| op(e3,e0) != e0
| op(e0,e3) != e0 )
& ~ sP57_prd )
| sP52_prd )
& ( ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| sP57_prd
| ~ sP52_prd ) ),
inference(NNF_transformation,[status(thm)],[f674]) ).
fof(f676,plain,
( op(e0,e3) = e0
| sP57_prd
| ~ sP52_prd ),
inference(cnf_transformation,[status(thm)],[f675]) ).
fof(f677,plain,
( op(e3,e0) = e0
| sP57_prd
| ~ sP52_prd ),
inference(cnf_transformation,[status(thm)],[f675]) ).
fof(f678,plain,
( op(e0,e0) != e0
| sP57_prd
| ~ sP52_prd ),
inference(cnf_transformation,[status(thm)],[f675]) ).
fof(f679,plain,
( op(e1,e0) != e1
| sP57_prd
| ~ sP52_prd ),
inference(cnf_transformation,[status(thm)],[f675]) ).
fof(f680,plain,
( op(e2,e0) != e2
| sP57_prd
| ~ sP52_prd ),
inference(cnf_transformation,[status(thm)],[f675]) ).
fof(f681,plain,
( op(e3,e0) != e3
| sP57_prd
| ~ sP52_prd ),
inference(cnf_transformation,[status(thm)],[f675]) ).
fof(f682,plain,
( ~ sP57_prd
| sP52_prd ),
inference(cnf_transformation,[status(thm)],[f675]) ).
fof(f683,plain,
( op(e3,e0) = e3
| op(e2,e0) = e2
| op(e1,e0) = e1
| op(e0,e0) = e0
| op(e3,e0) != e0
| op(e0,e3) != e0
| sP52_prd ),
inference(cnf_transformation,[status(thm)],[f675]) ).
fof(f684,definition,
( sP58_prd
<=> ( ( op(e2,op(e0,e2)) = e2
& op(e2,e2) != op(e0,e2)
& op(e2,e0) = op(e0,e2) )
| ( op(e1,op(e0,e1)) = e1
& op(e1,e1) != op(e0,e1)
& op(e1,e0) = op(e0,e1) )
| ( op(e0,op(e0,e0)) = e0
& op(e0,e0) != op(e0,e0)
& op(e0,e0) = op(e0,e0) ) ) ),
introduced(definition,[new_symbols(definition,[sP58_prd])],[]) ).
fof(f685,plain,
( sP53_prd
<=> ( ( op(e3,op(e0,e3)) = e3
& op(e3,e3) != op(e0,e3)
& op(e3,e0) = op(e0,e3) )
| sP58_prd ) ),
inference(formula_renaming,[status(thm)],[f639,f684]) ).
fof(f686,plain,
( ( ( ( op(e3,op(e0,e3)) != e3
| op(e3,e3) = op(e0,e3)
| op(e3,e0) != op(e0,e3) )
& ~ sP58_prd )
| sP53_prd )
& ( ( op(e3,op(e0,e3)) = e3
& op(e3,e3) != op(e0,e3)
& op(e3,e0) = op(e0,e3) )
| sP58_prd
| ~ sP53_prd ) ),
inference(NNF_transformation,[status(thm)],[f685]) ).
fof(f687,plain,
( op(e3,e0) = op(e0,e3)
| sP58_prd
| ~ sP53_prd ),
inference(cnf_transformation,[status(thm)],[f686]) ).
fof(f689,plain,
( op(e3,op(e0,e3)) = e3
| sP58_prd
| ~ sP53_prd ),
inference(cnf_transformation,[status(thm)],[f686]) ).
fof(f690,plain,
( ~ sP58_prd
| sP53_prd ),
inference(cnf_transformation,[status(thm)],[f686]) ).
fof(f691,plain,
( op(e3,op(e0,e3)) != e3
| op(e3,e3) = op(e0,e3)
| op(e3,e0) != op(e0,e3)
| sP53_prd ),
inference(cnf_transformation,[status(thm)],[f686]) ).
fof(f692,definition,
( sP59_prd
<=> ( ( ( ( ( op(e2,e0) != e3
| op(e0,e2) != e3 )
& ( op(e2,e0) != e2
| op(e0,e2) != e2 )
& ( op(e2,e0) != e1
| op(e0,e2) != e1 )
& ( op(e2,e0) != e0
| op(e0,e2) != e0 ) )
| op(e0,e0) != e2 )
& op(e0,e0) = e2 )
| ( ( ( ( op(e1,e0) != e3
| op(e0,e1) != e3 )
& ( op(e1,e0) != e2
| op(e0,e1) != e2 )
& ( op(e1,e0) != e1
| op(e0,e1) != e1 )
& ( op(e1,e0) != e0
| op(e0,e1) != e0 ) )
| op(e0,e0) != e1 )
& op(e0,e0) = e1 )
| ( ( ( ( op(e0,e0) != e3
| op(e0,e0) != e3 )
& ( op(e0,e0) != e2
| op(e0,e0) != e2 )
& ( op(e0,e0) != e1
| op(e0,e0) != e1 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 ) )
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP59_prd])],[]) ).
fof(f693,plain,
( sP54_prd
<=> ( ( ( ( ( op(e3,e0) != e3
| op(e0,e3) != e3 )
& ( op(e3,e0) != e2
| op(e0,e3) != e2 )
& ( op(e3,e0) != e1
| op(e0,e3) != e1 )
& ( op(e3,e0) != e0
| op(e0,e3) != e0 ) )
| op(e0,e0) != e3 )
& op(e0,e0) = e3 )
| sP59_prd ) ),
inference(formula_renaming,[status(thm)],[f647,f692]) ).
fof(f694,definition,
( sP60_prd
<=> ( ( op(e3,e0) != e2
| op(e0,e3) != e2 )
& ( op(e3,e0) != e1
| op(e0,e3) != e1 )
& ( op(e3,e0) != e0
| op(e0,e3) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP60_prd])],[]) ).
fof(f695,plain,
( sP54_prd
<=> ( ( ( ( ( op(e3,e0) != e3
| op(e0,e3) != e3 )
& sP60_prd )
| op(e0,e0) != e3 )
& op(e0,e0) = e3 )
| sP59_prd ) ),
inference(formula_renaming,[status(thm)],[f693,f694]) ).
fof(f696,plain,
( ( ( ( ( ( ( op(e3,e0) = e3
& op(e0,e3) = e3 )
| ~ sP60_prd )
& op(e0,e0) = e3 )
| op(e0,e0) != e3 )
& ~ sP59_prd )
| sP54_prd )
& ( ( ( ( ( op(e3,e0) != e3
| op(e0,e3) != e3 )
& sP60_prd )
| op(e0,e0) != e3 )
& op(e0,e0) = e3 )
| sP59_prd
| ~ sP54_prd ) ),
inference(NNF_transformation,[status(thm)],[f695]) ).
fof(f697,plain,
( op(e0,e0) = e3
| sP59_prd
| ~ sP54_prd ),
inference(cnf_transformation,[status(thm)],[f696]) ).
fof(f698,plain,
( sP60_prd
| op(e0,e0) != e3
| sP59_prd
| ~ sP54_prd ),
inference(cnf_transformation,[status(thm)],[f696]) ).
fof(f700,plain,
( ~ sP59_prd
| sP54_prd ),
inference(cnf_transformation,[status(thm)],[f696]) ).
fof(f702,plain,
( op(e0,e3) = e3
| ~ sP60_prd
| op(e0,e0) != e3
| sP54_prd ),
inference(cnf_transformation,[status(thm)],[f696]) ).
fof(f703,plain,
( op(e3,e0) = e3
| ~ sP60_prd
| op(e0,e0) != e3
| sP54_prd ),
inference(cnf_transformation,[status(thm)],[f696]) ).
fof(f704,definition,
( sP61_prd
<=> ( ( op(e0,e1) != e1
| op(e1,e0) != e1 )
& ( op(e0,e1) != e0
| op(e1,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP61_prd])],[]) ).
fof(f705,plain,
( sP55_prd
<=> ( ( op(e0,e1) != e2
| op(e1,e0) != e2 )
& sP61_prd ) ),
inference(formula_renaming,[status(thm)],[f649,f704]) ).
fof(f706,plain,
( ( ( op(e0,e1) = e2
& op(e1,e0) = e2 )
| ~ sP61_prd
| sP55_prd )
& ( ( ( op(e0,e1) != e2
| op(e1,e0) != e2 )
& sP61_prd )
| ~ sP55_prd ) ),
inference(NNF_transformation,[status(thm)],[f705]) ).
fof(f707,plain,
( sP61_prd
| ~ sP55_prd ),
inference(cnf_transformation,[status(thm)],[f706]) ).
fof(f708,plain,
( op(e0,e1) != e2
| op(e1,e0) != e2
| ~ sP55_prd ),
inference(cnf_transformation,[status(thm)],[f706]) ).
fof(f709,plain,
( op(e1,e0) = e2
| ~ sP61_prd
| sP55_prd ),
inference(cnf_transformation,[status(thm)],[f706]) ).
fof(f710,plain,
( op(e0,e1) = e2
| ~ sP61_prd
| sP55_prd ),
inference(cnf_transformation,[status(thm)],[f706]) ).
fof(f711,plain,
( ( ( op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e1) = e0
& op(e1,e1) = e0 )
| sP56_prd )
& ( ( ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e1) != e0 ) )
| ~ sP56_prd ) ),
inference(NNF_transformation,[status(thm)],[f659]) ).
fof(f712,plain,
( op(e1,e1) != e0
| op(e1,e1) != e0
| ~ sP56_prd ),
inference(cnf_transformation,[status(thm)],[f711]) ).
fof(f713,plain,
( op(e1,e1) != e1
| op(e1,e1) != e1
| ~ sP56_prd ),
inference(cnf_transformation,[status(thm)],[f711]) ).
fof(f714,plain,
( op(e1,e1) = e1
| op(e1,e1) = e0
| sP56_prd ),
inference(cnf_transformation,[status(thm)],[f711]) ).
fof(f718,definition,
( sP62_prd
<=> ( ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP62_prd])],[]) ).
fof(f719,plain,
( sP57_prd
<=> ( ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| sP62_prd ) ),
inference(formula_renaming,[status(thm)],[f673,f718]) ).
fof(f720,plain,
( ( ( ( op(e3,e0) = e3
| op(e2,e0) = e2
| op(e1,e0) = e1
| op(e0,e0) = e0
| op(e2,e0) != e0
| op(e0,e2) != e0 )
& ~ sP62_prd )
| sP57_prd )
& ( ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| sP62_prd
| ~ sP57_prd ) ),
inference(NNF_transformation,[status(thm)],[f719]) ).
fof(f721,plain,
( op(e0,e2) = e0
| sP62_prd
| ~ sP57_prd ),
inference(cnf_transformation,[status(thm)],[f720]) ).
fof(f722,plain,
( op(e2,e0) = e0
| sP62_prd
| ~ sP57_prd ),
inference(cnf_transformation,[status(thm)],[f720]) ).
fof(f723,plain,
( op(e0,e0) != e0
| sP62_prd
| ~ sP57_prd ),
inference(cnf_transformation,[status(thm)],[f720]) ).
fof(f724,plain,
( op(e1,e0) != e1
| sP62_prd
| ~ sP57_prd ),
inference(cnf_transformation,[status(thm)],[f720]) ).
fof(f725,plain,
( op(e2,e0) != e2
| sP62_prd
| ~ sP57_prd ),
inference(cnf_transformation,[status(thm)],[f720]) ).
fof(f726,plain,
( op(e3,e0) != e3
| sP62_prd
| ~ sP57_prd ),
inference(cnf_transformation,[status(thm)],[f720]) ).
fof(f727,plain,
( ~ sP62_prd
| sP57_prd ),
inference(cnf_transformation,[status(thm)],[f720]) ).
fof(f728,plain,
( op(e3,e0) = e3
| op(e2,e0) = e2
| op(e1,e0) = e1
| op(e0,e0) = e0
| op(e2,e0) != e0
| op(e0,e2) != e0
| sP57_prd ),
inference(cnf_transformation,[status(thm)],[f720]) ).
fof(f729,definition,
( sP63_prd
<=> ( ( op(e1,op(e0,e1)) = e1
& op(e1,e1) != op(e0,e1)
& op(e1,e0) = op(e0,e1) )
| ( op(e0,op(e0,e0)) = e0
& op(e0,e0) != op(e0,e0)
& op(e0,e0) = op(e0,e0) ) ) ),
introduced(definition,[new_symbols(definition,[sP63_prd])],[]) ).
fof(f730,plain,
( sP58_prd
<=> ( ( op(e2,op(e0,e2)) = e2
& op(e2,e2) != op(e0,e2)
& op(e2,e0) = op(e0,e2) )
| sP63_prd ) ),
inference(formula_renaming,[status(thm)],[f684,f729]) ).
fof(f731,plain,
( ( ( ( op(e2,op(e0,e2)) != e2
| op(e2,e2) = op(e0,e2)
| op(e2,e0) != op(e0,e2) )
& ~ sP63_prd )
| sP58_prd )
& ( ( op(e2,op(e0,e2)) = e2
& op(e2,e2) != op(e0,e2)
& op(e2,e0) = op(e0,e2) )
| sP63_prd
| ~ sP58_prd ) ),
inference(NNF_transformation,[status(thm)],[f730]) ).
fof(f732,plain,
( op(e2,e0) = op(e0,e2)
| sP63_prd
| ~ sP58_prd ),
inference(cnf_transformation,[status(thm)],[f731]) ).
fof(f734,plain,
( op(e2,op(e0,e2)) = e2
| sP63_prd
| ~ sP58_prd ),
inference(cnf_transformation,[status(thm)],[f731]) ).
fof(f735,plain,
( ~ sP63_prd
| sP58_prd ),
inference(cnf_transformation,[status(thm)],[f731]) ).
fof(f736,plain,
( op(e2,op(e0,e2)) != e2
| op(e2,e2) = op(e0,e2)
| op(e2,e0) != op(e0,e2)
| sP58_prd ),
inference(cnf_transformation,[status(thm)],[f731]) ).
fof(f737,definition,
( sP64_prd
<=> ( ( ( ( ( op(e1,e0) != e3
| op(e0,e1) != e3 )
& ( op(e1,e0) != e2
| op(e0,e1) != e2 )
& ( op(e1,e0) != e1
| op(e0,e1) != e1 )
& ( op(e1,e0) != e0
| op(e0,e1) != e0 ) )
| op(e0,e0) != e1 )
& op(e0,e0) = e1 )
| ( ( ( ( op(e0,e0) != e3
| op(e0,e0) != e3 )
& ( op(e0,e0) != e2
| op(e0,e0) != e2 )
& ( op(e0,e0) != e1
| op(e0,e0) != e1 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 ) )
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP64_prd])],[]) ).
fof(f738,plain,
( sP59_prd
<=> ( ( ( ( ( op(e2,e0) != e3
| op(e0,e2) != e3 )
& ( op(e2,e0) != e2
| op(e0,e2) != e2 )
& ( op(e2,e0) != e1
| op(e0,e2) != e1 )
& ( op(e2,e0) != e0
| op(e0,e2) != e0 ) )
| op(e0,e0) != e2 )
& op(e0,e0) = e2 )
| sP64_prd ) ),
inference(formula_renaming,[status(thm)],[f692,f737]) ).
fof(f739,definition,
( sP65_prd
<=> ( ( op(e2,e0) != e2
| op(e0,e2) != e2 )
& ( op(e2,e0) != e1
| op(e0,e2) != e1 )
& ( op(e2,e0) != e0
| op(e0,e2) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP65_prd])],[]) ).
fof(f740,plain,
( sP59_prd
<=> ( ( ( ( ( op(e2,e0) != e3
| op(e0,e2) != e3 )
& sP65_prd )
| op(e0,e0) != e2 )
& op(e0,e0) = e2 )
| sP64_prd ) ),
inference(formula_renaming,[status(thm)],[f738,f739]) ).
fof(f741,plain,
( ( ( ( ( ( ( op(e2,e0) = e3
& op(e0,e2) = e3 )
| ~ sP65_prd )
& op(e0,e0) = e2 )
| op(e0,e0) != e2 )
& ~ sP64_prd )
| sP59_prd )
& ( ( ( ( ( op(e2,e0) != e3
| op(e0,e2) != e3 )
& sP65_prd )
| op(e0,e0) != e2 )
& op(e0,e0) = e2 )
| sP64_prd
| ~ sP59_prd ) ),
inference(NNF_transformation,[status(thm)],[f740]) ).
fof(f742,plain,
( op(e0,e0) = e2
| sP64_prd
| ~ sP59_prd ),
inference(cnf_transformation,[status(thm)],[f741]) ).
fof(f743,plain,
( sP65_prd
| op(e0,e0) != e2
| sP64_prd
| ~ sP59_prd ),
inference(cnf_transformation,[status(thm)],[f741]) ).
fof(f744,plain,
( op(e2,e0) != e3
| op(e0,e2) != e3
| op(e0,e0) != e2
| sP64_prd
| ~ sP59_prd ),
inference(cnf_transformation,[status(thm)],[f741]) ).
fof(f745,plain,
( ~ sP64_prd
| sP59_prd ),
inference(cnf_transformation,[status(thm)],[f741]) ).
fof(f747,plain,
( op(e0,e2) = e3
| ~ sP65_prd
| op(e0,e0) != e2
| sP59_prd ),
inference(cnf_transformation,[status(thm)],[f741]) ).
fof(f748,plain,
( op(e2,e0) = e3
| ~ sP65_prd
| op(e0,e0) != e2
| sP59_prd ),
inference(cnf_transformation,[status(thm)],[f741]) ).
fof(f749,definition,
( sP66_prd
<=> ( ( op(e3,e0) != e1
| op(e0,e3) != e1 )
& ( op(e3,e0) != e0
| op(e0,e3) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP66_prd])],[]) ).
fof(f750,plain,
( sP60_prd
<=> ( ( op(e3,e0) != e2
| op(e0,e3) != e2 )
& sP66_prd ) ),
inference(formula_renaming,[status(thm)],[f694,f749]) ).
fof(f751,plain,
( ( ( op(e3,e0) = e2
& op(e0,e3) = e2 )
| ~ sP66_prd
| sP60_prd )
& ( ( ( op(e3,e0) != e2
| op(e0,e3) != e2 )
& sP66_prd )
| ~ sP60_prd ) ),
inference(NNF_transformation,[status(thm)],[f750]) ).
fof(f752,plain,
( sP66_prd
| ~ sP60_prd ),
inference(cnf_transformation,[status(thm)],[f751]) ).
fof(f753,plain,
( op(e3,e0) != e2
| op(e0,e3) != e2
| ~ sP60_prd ),
inference(cnf_transformation,[status(thm)],[f751]) ).
fof(f754,plain,
( op(e0,e3) = e2
| ~ sP66_prd
| sP60_prd ),
inference(cnf_transformation,[status(thm)],[f751]) ).
fof(f755,plain,
( op(e3,e0) = e2
| ~ sP66_prd
| sP60_prd ),
inference(cnf_transformation,[status(thm)],[f751]) ).
fof(f756,plain,
( ( ( op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0 )
| sP61_prd )
& ( ( ( op(e0,e1) != e1
| op(e1,e0) != e1 )
& ( op(e0,e1) != e0
| op(e1,e0) != e0 ) )
| ~ sP61_prd ) ),
inference(NNF_transformation,[status(thm)],[f704]) ).
fof(f757,plain,
( op(e0,e1) != e0
| op(e1,e0) != e0
| ~ sP61_prd ),
inference(cnf_transformation,[status(thm)],[f756]) ).
fof(f758,plain,
( op(e0,e1) != e1
| op(e1,e0) != e1
| ~ sP61_prd ),
inference(cnf_transformation,[status(thm)],[f756]) ).
fof(f759,plain,
( op(e1,e0) = e1
| op(e1,e0) = e0
| sP61_prd ),
inference(cnf_transformation,[status(thm)],[f756]) ).
fof(f760,plain,
( op(e0,e1) = e1
| op(e1,e0) = e0
| sP61_prd ),
inference(cnf_transformation,[status(thm)],[f756]) ).
fof(f761,plain,
( op(e1,e0) = e1
| op(e0,e1) = e0
| sP61_prd ),
inference(cnf_transformation,[status(thm)],[f756]) ).
fof(f762,plain,
( op(e0,e1) = e1
| op(e0,e1) = e0
| sP61_prd ),
inference(cnf_transformation,[status(thm)],[f756]) ).
fof(f763,definition,
( sP67_prd
<=> ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ),
introduced(definition,[new_symbols(definition,[sP67_prd])],[]) ).
fof(f764,plain,
( sP62_prd
<=> ( ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| sP67_prd ) ),
inference(formula_renaming,[status(thm)],[f718,f763]) ).
fof(f765,plain,
( ( ( ( op(e3,e0) = e3
| op(e2,e0) = e2
| op(e1,e0) = e1
| op(e0,e0) = e0
| op(e1,e0) != e0
| op(e0,e1) != e0 )
& ~ sP67_prd )
| sP62_prd )
& ( ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| sP67_prd
| ~ sP62_prd ) ),
inference(NNF_transformation,[status(thm)],[f764]) ).
fof(f766,plain,
( op(e0,e1) = e0
| sP67_prd
| ~ sP62_prd ),
inference(cnf_transformation,[status(thm)],[f765]) ).
fof(f767,plain,
( op(e1,e0) = e0
| sP67_prd
| ~ sP62_prd ),
inference(cnf_transformation,[status(thm)],[f765]) ).
fof(f769,plain,
( op(e1,e0) != e1
| sP67_prd
| ~ sP62_prd ),
inference(cnf_transformation,[status(thm)],[f765]) ).
fof(f770,plain,
( op(e2,e0) != e2
| sP67_prd
| ~ sP62_prd ),
inference(cnf_transformation,[status(thm)],[f765]) ).
fof(f771,plain,
( op(e3,e0) != e3
| sP67_prd
| ~ sP62_prd ),
inference(cnf_transformation,[status(thm)],[f765]) ).
fof(f772,plain,
( ~ sP67_prd
| sP62_prd ),
inference(cnf_transformation,[status(thm)],[f765]) ).
fof(f773,plain,
( op(e3,e0) = e3
| op(e2,e0) = e2
| op(e1,e0) = e1
| op(e0,e0) = e0
| op(e1,e0) != e0
| op(e0,e1) != e0
| sP62_prd ),
inference(cnf_transformation,[status(thm)],[f765]) ).
fof(f774,definition,
( sP68_prd
<=> ( op(e0,op(e0,e0)) = e0
& op(e0,e0) != op(e0,e0)
& op(e0,e0) = op(e0,e0) ) ),
introduced(definition,[new_symbols(definition,[sP68_prd])],[]) ).
fof(f775,plain,
( sP63_prd
<=> ( ( op(e1,op(e0,e1)) = e1
& op(e1,e1) != op(e0,e1)
& op(e1,e0) = op(e0,e1) )
| sP68_prd ) ),
inference(formula_renaming,[status(thm)],[f729,f774]) ).
fof(f776,plain,
( ( ( ( op(e1,op(e0,e1)) != e1
| op(e1,e1) = op(e0,e1)
| op(e1,e0) != op(e0,e1) )
& ~ sP68_prd )
| sP63_prd )
& ( ( op(e1,op(e0,e1)) = e1
& op(e1,e1) != op(e0,e1)
& op(e1,e0) = op(e0,e1) )
| sP68_prd
| ~ sP63_prd ) ),
inference(NNF_transformation,[status(thm)],[f775]) ).
fof(f777,plain,
( op(e1,e0) = op(e0,e1)
| sP68_prd
| ~ sP63_prd ),
inference(cnf_transformation,[status(thm)],[f776]) ).
fof(f779,plain,
( op(e1,op(e0,e1)) = e1
| sP68_prd
| ~ sP63_prd ),
inference(cnf_transformation,[status(thm)],[f776]) ).
fof(f780,plain,
( ~ sP68_prd
| sP63_prd ),
inference(cnf_transformation,[status(thm)],[f776]) ).
fof(f781,plain,
( op(e1,op(e0,e1)) != e1
| op(e1,e1) = op(e0,e1)
| op(e1,e0) != op(e0,e1)
| sP63_prd ),
inference(cnf_transformation,[status(thm)],[f776]) ).
fof(f782,definition,
( sP69_prd
<=> ( ( op(e0,e0) != e3
| op(e0,e0) != e3 )
& ( op(e0,e0) != e2
| op(e0,e0) != e2 )
& ( op(e0,e0) != e1
| op(e0,e0) != e1 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP69_prd])],[]) ).
fof(f783,definition,
( sP70_prd
<=> ( ( op(e1,e0) != e3
| op(e0,e1) != e3 )
& ( op(e1,e0) != e2
| op(e0,e1) != e2 )
& ( op(e1,e0) != e1
| op(e0,e1) != e1 )
& ( op(e1,e0) != e0
| op(e0,e1) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP70_prd])],[]) ).
fof(f784,plain,
( sP64_prd
<=> ( ( ( sP70_prd
| op(e0,e0) != e1 )
& op(e0,e0) = e1 )
| ( ( sP69_prd
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ) ),
inference(formula_renaming,[status(thm)],[f737,f783,f782]) ).
fof(f785,plain,
( ( ( ( ( ~ sP70_prd
& op(e0,e0) = e1 )
| op(e0,e0) != e1 )
& ( ( ~ sP69_prd
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ) )
| sP64_prd )
& ( ( ( sP70_prd
| op(e0,e0) != e1 )
& op(e0,e0) = e1 )
| ( ( sP69_prd
| op(e0,e0) != e0 )
& op(e0,e0) = e0 )
| ~ sP64_prd ) ),
inference(NNF_transformation,[status(thm)],[f784]) ).
fof(f786,plain,
( op(e0,e0) = e1
| op(e0,e0) = e0
| ~ sP64_prd ),
inference(cnf_transformation,[status(thm)],[f785]) ).
fof(f787,plain,
( sP70_prd
| op(e0,e0) != e1
| op(e0,e0) = e0
| ~ sP64_prd ),
inference(cnf_transformation,[status(thm)],[f785]) ).
fof(f788,plain,
( op(e0,e0) = e1
| sP69_prd
| op(e0,e0) != e0
| ~ sP64_prd ),
inference(cnf_transformation,[status(thm)],[f785]) ).
fof(f789,plain,
( sP70_prd
| op(e0,e0) != e1
| sP69_prd
| op(e0,e0) != e0
| ~ sP64_prd ),
inference(cnf_transformation,[status(thm)],[f785]) ).
fof(f791,plain,
( ~ sP69_prd
| op(e0,e0) != e0
| sP64_prd ),
inference(cnf_transformation,[status(thm)],[f785]) ).
fof(f793,plain,
( ~ sP70_prd
| op(e0,e0) != e1
| sP64_prd ),
inference(cnf_transformation,[status(thm)],[f785]) ).
fof(f794,definition,
( sP71_prd
<=> ( ( op(e2,e0) != e1
| op(e0,e2) != e1 )
& ( op(e2,e0) != e0
| op(e0,e2) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP71_prd])],[]) ).
fof(f795,plain,
( sP65_prd
<=> ( ( op(e2,e0) != e2
| op(e0,e2) != e2 )
& sP71_prd ) ),
inference(formula_renaming,[status(thm)],[f739,f794]) ).
fof(f796,plain,
( ( ( op(e2,e0) = e2
& op(e0,e2) = e2 )
| ~ sP71_prd
| sP65_prd )
& ( ( ( op(e2,e0) != e2
| op(e0,e2) != e2 )
& sP71_prd )
| ~ sP65_prd ) ),
inference(NNF_transformation,[status(thm)],[f795]) ).
fof(f797,plain,
( sP71_prd
| ~ sP65_prd ),
inference(cnf_transformation,[status(thm)],[f796]) ).
fof(f798,plain,
( op(e2,e0) != e2
| op(e0,e2) != e2
| ~ sP65_prd ),
inference(cnf_transformation,[status(thm)],[f796]) ).
fof(f799,plain,
( op(e0,e2) = e2
| ~ sP71_prd
| sP65_prd ),
inference(cnf_transformation,[status(thm)],[f796]) ).
fof(f800,plain,
( op(e2,e0) = e2
| ~ sP71_prd
| sP65_prd ),
inference(cnf_transformation,[status(thm)],[f796]) ).
fof(f801,plain,
( ( ( op(e3,e0) = e1
& op(e0,e3) = e1 )
| ( op(e3,e0) = e0
& op(e0,e3) = e0 )
| sP66_prd )
& ( ( ( op(e3,e0) != e1
| op(e0,e3) != e1 )
& ( op(e3,e0) != e0
| op(e0,e3) != e0 ) )
| ~ sP66_prd ) ),
inference(NNF_transformation,[status(thm)],[f749]) ).
fof(f802,plain,
( op(e3,e0) != e0
| op(e0,e3) != e0
| ~ sP66_prd ),
inference(cnf_transformation,[status(thm)],[f801]) ).
fof(f803,plain,
( op(e3,e0) != e1
| op(e0,e3) != e1
| ~ sP66_prd ),
inference(cnf_transformation,[status(thm)],[f801]) ).
fof(f804,plain,
( op(e0,e3) = e1
| op(e0,e3) = e0
| sP66_prd ),
inference(cnf_transformation,[status(thm)],[f801]) ).
fof(f805,plain,
( op(e3,e0) = e1
| op(e0,e3) = e0
| sP66_prd ),
inference(cnf_transformation,[status(thm)],[f801]) ).
fof(f806,plain,
( op(e0,e3) = e1
| op(e3,e0) = e0
| sP66_prd ),
inference(cnf_transformation,[status(thm)],[f801]) ).
fof(f807,plain,
( op(e3,e0) = e1
| op(e3,e0) = e0
| sP66_prd ),
inference(cnf_transformation,[status(thm)],[f801]) ).
fof(f808,plain,
( ( op(e3,e0) = e3
| op(e2,e0) = e2
| op(e1,e0) = e1
| op(e0,e0) = e0
| op(e0,e0) != e0
| op(e0,e0) != e0
| sP67_prd )
& ( ( op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ~ sP67_prd ) ),
inference(NNF_transformation,[status(thm)],[f763]) ).
fof(f809,plain,
( op(e0,e0) = e0
| ~ sP67_prd ),
inference(cnf_transformation,[status(thm)],[f808]) ).
fof(f811,plain,
( op(e0,e0) != e0
| ~ sP67_prd ),
inference(cnf_transformation,[status(thm)],[f808]) ).
fof(f812,plain,
( op(e1,e0) != e1
| ~ sP67_prd ),
inference(cnf_transformation,[status(thm)],[f808]) ).
fof(f813,plain,
( op(e2,e0) != e2
| ~ sP67_prd ),
inference(cnf_transformation,[status(thm)],[f808]) ).
fof(f814,plain,
( op(e3,e0) != e3
| ~ sP67_prd ),
inference(cnf_transformation,[status(thm)],[f808]) ).
fof(f816,plain,
( ( op(e0,op(e0,e0)) != e0
| op(e0,e0) = op(e0,e0)
| op(e0,e0) != op(e0,e0)
| sP68_prd )
& ( ( op(e0,op(e0,e0)) = e0
& op(e0,e0) != op(e0,e0)
& op(e0,e0) = op(e0,e0) )
| ~ sP68_prd ) ),
inference(NNF_transformation,[status(thm)],[f774]) ).
fof(f817,plain,
( op(e0,e0) = op(e0,e0)
| ~ sP68_prd ),
inference(cnf_transformation,[status(thm)],[f816]) ).
fof(f818,plain,
( op(e0,e0) != op(e0,e0)
| ~ sP68_prd ),
inference(cnf_transformation,[status(thm)],[f816]) ).
fof(f819,plain,
( op(e0,op(e0,e0)) = e0
| ~ sP68_prd ),
inference(cnf_transformation,[status(thm)],[f816]) ).
fof(f821,definition,
( sP72_prd
<=> ( ( op(e0,e0) != e2
| op(e0,e0) != e2 )
& ( op(e0,e0) != e1
| op(e0,e0) != e1 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP72_prd])],[]) ).
fof(f822,plain,
( sP69_prd
<=> ( ( op(e0,e0) != e3
| op(e0,e0) != e3 )
& sP72_prd ) ),
inference(formula_renaming,[status(thm)],[f782,f821]) ).
fof(f823,plain,
( ( ( op(e0,e0) = e3
& op(e0,e0) = e3 )
| ~ sP72_prd
| sP69_prd )
& ( ( ( op(e0,e0) != e3
| op(e0,e0) != e3 )
& sP72_prd )
| ~ sP69_prd ) ),
inference(NNF_transformation,[status(thm)],[f822]) ).
fof(f824,plain,
( sP72_prd
| ~ sP69_prd ),
inference(cnf_transformation,[status(thm)],[f823]) ).
fof(f825,plain,
( op(e0,e0) != e3
| op(e0,e0) != e3
| ~ sP69_prd ),
inference(cnf_transformation,[status(thm)],[f823]) ).
fof(f826,plain,
( op(e0,e0) = e3
| ~ sP72_prd
| sP69_prd ),
inference(cnf_transformation,[status(thm)],[f823]) ).
fof(f828,definition,
( sP73_prd
<=> ( ( op(e1,e0) != e2
| op(e0,e1) != e2 )
& ( op(e1,e0) != e1
| op(e0,e1) != e1 )
& ( op(e1,e0) != e0
| op(e0,e1) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP73_prd])],[]) ).
fof(f829,plain,
( sP70_prd
<=> ( ( op(e1,e0) != e3
| op(e0,e1) != e3 )
& sP73_prd ) ),
inference(formula_renaming,[status(thm)],[f783,f828]) ).
fof(f830,plain,
( ( ( op(e1,e0) = e3
& op(e0,e1) = e3 )
| ~ sP73_prd
| sP70_prd )
& ( ( ( op(e1,e0) != e3
| op(e0,e1) != e3 )
& sP73_prd )
| ~ sP70_prd ) ),
inference(NNF_transformation,[status(thm)],[f829]) ).
fof(f831,plain,
( sP73_prd
| ~ sP70_prd ),
inference(cnf_transformation,[status(thm)],[f830]) ).
fof(f832,plain,
( op(e1,e0) != e3
| op(e0,e1) != e3
| ~ sP70_prd ),
inference(cnf_transformation,[status(thm)],[f830]) ).
fof(f833,plain,
( op(e0,e1) = e3
| ~ sP73_prd
| sP70_prd ),
inference(cnf_transformation,[status(thm)],[f830]) ).
fof(f834,plain,
( op(e1,e0) = e3
| ~ sP73_prd
| sP70_prd ),
inference(cnf_transformation,[status(thm)],[f830]) ).
fof(f835,plain,
( ( ( op(e2,e0) = e1
& op(e0,e2) = e1 )
| ( op(e2,e0) = e0
& op(e0,e2) = e0 )
| sP71_prd )
& ( ( ( op(e2,e0) != e1
| op(e0,e2) != e1 )
& ( op(e2,e0) != e0
| op(e0,e2) != e0 ) )
| ~ sP71_prd ) ),
inference(NNF_transformation,[status(thm)],[f794]) ).
fof(f836,plain,
( op(e2,e0) != e0
| op(e0,e2) != e0
| ~ sP71_prd ),
inference(cnf_transformation,[status(thm)],[f835]) ).
fof(f837,plain,
( op(e2,e0) != e1
| op(e0,e2) != e1
| ~ sP71_prd ),
inference(cnf_transformation,[status(thm)],[f835]) ).
fof(f838,plain,
( op(e0,e2) = e1
| op(e0,e2) = e0
| sP71_prd ),
inference(cnf_transformation,[status(thm)],[f835]) ).
fof(f839,plain,
( op(e2,e0) = e1
| op(e0,e2) = e0
| sP71_prd ),
inference(cnf_transformation,[status(thm)],[f835]) ).
fof(f840,plain,
( op(e0,e2) = e1
| op(e2,e0) = e0
| sP71_prd ),
inference(cnf_transformation,[status(thm)],[f835]) ).
fof(f841,plain,
( op(e2,e0) = e1
| op(e2,e0) = e0
| sP71_prd ),
inference(cnf_transformation,[status(thm)],[f835]) ).
fof(f842,definition,
( sP74_prd
<=> ( ( op(e0,e0) != e1
| op(e0,e0) != e1 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP74_prd])],[]) ).
fof(f843,plain,
( sP72_prd
<=> ( ( op(e0,e0) != e2
| op(e0,e0) != e2 )
& sP74_prd ) ),
inference(formula_renaming,[status(thm)],[f821,f842]) ).
fof(f844,plain,
( ( ( op(e0,e0) = e2
& op(e0,e0) = e2 )
| ~ sP74_prd
| sP72_prd )
& ( ( ( op(e0,e0) != e2
| op(e0,e0) != e2 )
& sP74_prd )
| ~ sP72_prd ) ),
inference(NNF_transformation,[status(thm)],[f843]) ).
fof(f845,plain,
( sP74_prd
| ~ sP72_prd ),
inference(cnf_transformation,[status(thm)],[f844]) ).
fof(f846,plain,
( op(e0,e0) != e2
| op(e0,e0) != e2
| ~ sP72_prd ),
inference(cnf_transformation,[status(thm)],[f844]) ).
fof(f847,plain,
( op(e0,e0) = e2
| ~ sP74_prd
| sP72_prd ),
inference(cnf_transformation,[status(thm)],[f844]) ).
fof(f849,definition,
( sP75_prd
<=> ( ( op(e1,e0) != e1
| op(e0,e1) != e1 )
& ( op(e1,e0) != e0
| op(e0,e1) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP75_prd])],[]) ).
fof(f850,plain,
( sP73_prd
<=> ( ( op(e1,e0) != e2
| op(e0,e1) != e2 )
& sP75_prd ) ),
inference(formula_renaming,[status(thm)],[f828,f849]) ).
fof(f851,plain,
( ( ( op(e1,e0) = e2
& op(e0,e1) = e2 )
| ~ sP75_prd
| sP73_prd )
& ( ( ( op(e1,e0) != e2
| op(e0,e1) != e2 )
& sP75_prd )
| ~ sP73_prd ) ),
inference(NNF_transformation,[status(thm)],[f850]) ).
fof(f852,plain,
( sP75_prd
| ~ sP73_prd ),
inference(cnf_transformation,[status(thm)],[f851]) ).
fof(f853,plain,
( op(e1,e0) != e2
| op(e0,e1) != e2
| ~ sP73_prd ),
inference(cnf_transformation,[status(thm)],[f851]) ).
fof(f854,plain,
( op(e0,e1) = e2
| ~ sP75_prd
| sP73_prd ),
inference(cnf_transformation,[status(thm)],[f851]) ).
fof(f855,plain,
( op(e1,e0) = e2
| ~ sP75_prd
| sP73_prd ),
inference(cnf_transformation,[status(thm)],[f851]) ).
fof(f856,plain,
( ( ( op(e0,e0) = e1
& op(e0,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0 )
| sP74_prd )
& ( ( ( op(e0,e0) != e1
| op(e0,e0) != e1 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 ) )
| ~ sP74_prd ) ),
inference(NNF_transformation,[status(thm)],[f842]) ).
fof(f857,plain,
( op(e0,e0) != e0
| op(e0,e0) != e0
| ~ sP74_prd ),
inference(cnf_transformation,[status(thm)],[f856]) ).
fof(f858,plain,
( op(e0,e0) != e1
| op(e0,e0) != e1
| ~ sP74_prd ),
inference(cnf_transformation,[status(thm)],[f856]) ).
fof(f859,plain,
( op(e0,e0) = e1
| op(e0,e0) = e0
| sP74_prd ),
inference(cnf_transformation,[status(thm)],[f856]) ).
fof(f863,plain,
( ( ( op(e1,e0) = e1
& op(e0,e1) = e1 )
| ( op(e1,e0) = e0
& op(e0,e1) = e0 )
| sP75_prd )
& ( ( ( op(e1,e0) != e1
| op(e0,e1) != e1 )
& ( op(e1,e0) != e0
| op(e0,e1) != e0 ) )
| ~ sP75_prd ) ),
inference(NNF_transformation,[status(thm)],[f849]) ).
fof(f864,plain,
( op(e1,e0) != e0
| op(e0,e1) != e0
| ~ sP75_prd ),
inference(cnf_transformation,[status(thm)],[f863]) ).
fof(f865,plain,
( op(e1,e0) != e1
| op(e0,e1) != e1
| ~ sP75_prd ),
inference(cnf_transformation,[status(thm)],[f863]) ).
fof(f866,plain,
( op(e0,e1) = e1
| op(e0,e1) = e0
| sP75_prd ),
inference(cnf_transformation,[status(thm)],[f863]) ).
fof(f867,plain,
( op(e1,e0) = e1
| op(e0,e1) = e0
| sP75_prd ),
inference(cnf_transformation,[status(thm)],[f863]) ).
fof(f868,plain,
( op(e0,e1) = e1
| op(e1,e0) = e0
| sP75_prd ),
inference(cnf_transformation,[status(thm)],[f863]) ).
fof(f869,plain,
( op(e1,e0) = e1
| op(e1,e0) = e0
| sP75_prd ),
inference(cnf_transformation,[status(thm)],[f863]) ).
fof(f870,definition,
( sQ0_spl
<=> op(e0,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f871,plain,
( ~ sQ0_spl
| op(e0,e0) = e0 ),
inference(component_clause,[status(thm)],[f870]) ).
fof(f873,definition,
( sQ1_spl
<=> op(e0,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f874,plain,
( ~ sQ1_spl
| op(e0,e0) = e1 ),
inference(component_clause,[status(thm)],[f873]) ).
fof(f876,definition,
( sQ2_spl
<=> op(e0,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f877,plain,
( ~ sQ2_spl
| op(e0,e0) = e2 ),
inference(component_clause,[status(thm)],[f876]) ).
fof(f879,definition,
( sQ3_spl
<=> op(e0,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f880,plain,
( ~ sQ3_spl
| op(e0,e0) = e3 ),
inference(component_clause,[status(thm)],[f879]) ).
fof(f882,plain,
( sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f30,f870,f873,f876,f879]) ).
fof(f883,definition,
( sQ4_spl
<=> op(e0,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f884,plain,
( ~ sQ4_spl
| op(e0,e1) = e0 ),
inference(component_clause,[status(thm)],[f883]) ).
fof(f886,definition,
( sQ5_spl
<=> op(e0,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f887,plain,
( ~ sQ5_spl
| op(e0,e1) = e1 ),
inference(component_clause,[status(thm)],[f886]) ).
fof(f889,definition,
( sQ6_spl
<=> op(e0,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f890,plain,
( ~ sQ6_spl
| op(e0,e1) = e2 ),
inference(component_clause,[status(thm)],[f889]) ).
fof(f892,definition,
( sQ7_spl
<=> op(e0,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f893,plain,
( ~ sQ7_spl
| op(e0,e1) = e3 ),
inference(component_clause,[status(thm)],[f892]) ).
fof(f895,plain,
( sQ7_spl
| sQ6_spl
| sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f31,f883,f886,f889,f892]) ).
fof(f896,definition,
( sQ8_spl
<=> op(e0,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f897,plain,
( ~ sQ8_spl
| op(e0,e2) = e0 ),
inference(component_clause,[status(thm)],[f896]) ).
fof(f899,definition,
( sQ9_spl
<=> op(e0,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f900,plain,
( ~ sQ9_spl
| op(e0,e2) = e1 ),
inference(component_clause,[status(thm)],[f899]) ).
fof(f902,definition,
( sQ10_spl
<=> op(e0,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f903,plain,
( ~ sQ10_spl
| op(e0,e2) = e2 ),
inference(component_clause,[status(thm)],[f902]) ).
fof(f905,definition,
( sQ11_spl
<=> op(e0,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f906,plain,
( ~ sQ11_spl
| op(e0,e2) = e3 ),
inference(component_clause,[status(thm)],[f905]) ).
fof(f908,plain,
( sQ11_spl
| sQ10_spl
| sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f32,f896,f899,f902,f905]) ).
fof(f909,definition,
( sQ12_spl
<=> op(e0,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f910,plain,
( ~ sQ12_spl
| op(e0,e3) = e0 ),
inference(component_clause,[status(thm)],[f909]) ).
fof(f912,definition,
( sQ13_spl
<=> op(e0,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f913,plain,
( ~ sQ13_spl
| op(e0,e3) = e1 ),
inference(component_clause,[status(thm)],[f912]) ).
fof(f915,definition,
( sQ14_spl
<=> op(e0,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f916,plain,
( ~ sQ14_spl
| op(e0,e3) = e2 ),
inference(component_clause,[status(thm)],[f915]) ).
fof(f918,definition,
( sQ15_spl
<=> op(e0,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f919,plain,
( ~ sQ15_spl
| op(e0,e3) = e3 ),
inference(component_clause,[status(thm)],[f918]) ).
fof(f921,plain,
( sQ15_spl
| sQ14_spl
| sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f33,f909,f912,f915,f918]) ).
fof(f922,definition,
( sQ16_spl
<=> op(e1,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f923,plain,
( ~ sQ16_spl
| op(e1,e0) = e0 ),
inference(component_clause,[status(thm)],[f922]) ).
fof(f924,plain,
( sQ16_spl
| op(e1,e0) != e0 ),
inference(component_clause,[status(thm)],[f922]) ).
fof(f925,definition,
( sQ17_spl
<=> op(e1,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f926,plain,
( ~ sQ17_spl
| op(e1,e0) = e1 ),
inference(component_clause,[status(thm)],[f925]) ).
fof(f927,plain,
( sQ17_spl
| op(e1,e0) != e1 ),
inference(component_clause,[status(thm)],[f925]) ).
fof(f928,definition,
( sQ18_spl
<=> op(e1,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f929,plain,
( ~ sQ18_spl
| op(e1,e0) = e2 ),
inference(component_clause,[status(thm)],[f928]) ).
fof(f930,plain,
( sQ18_spl
| op(e1,e0) != e2 ),
inference(component_clause,[status(thm)],[f928]) ).
fof(f931,definition,
( sQ19_spl
<=> op(e1,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f932,plain,
( ~ sQ19_spl
| op(e1,e0) = e3 ),
inference(component_clause,[status(thm)],[f931]) ).
fof(f934,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f34,f922,f925,f928,f931]) ).
fof(f935,definition,
( sQ20_spl
<=> op(e1,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f936,plain,
( ~ sQ20_spl
| op(e1,e1) = e0 ),
inference(component_clause,[status(thm)],[f935]) ).
fof(f938,definition,
( sQ21_spl
<=> op(e1,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f939,plain,
( ~ sQ21_spl
| op(e1,e1) = e1 ),
inference(component_clause,[status(thm)],[f938]) ).
fof(f941,definition,
( sQ22_spl
<=> op(e1,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f942,plain,
( ~ sQ22_spl
| op(e1,e1) = e2 ),
inference(component_clause,[status(thm)],[f941]) ).
fof(f944,definition,
( sQ23_spl
<=> op(e1,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f945,plain,
( ~ sQ23_spl
| op(e1,e1) = e3 ),
inference(component_clause,[status(thm)],[f944]) ).
fof(f947,plain,
( sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f35,f935,f938,f941,f944]) ).
fof(f948,definition,
( sQ24_spl
<=> op(e1,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f949,plain,
( ~ sQ24_spl
| op(e1,e2) = e0 ),
inference(component_clause,[status(thm)],[f948]) ).
fof(f951,definition,
( sQ25_spl
<=> op(e1,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f952,plain,
( ~ sQ25_spl
| op(e1,e2) = e1 ),
inference(component_clause,[status(thm)],[f951]) ).
fof(f954,definition,
( sQ26_spl
<=> op(e1,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f955,plain,
( ~ sQ26_spl
| op(e1,e2) = e2 ),
inference(component_clause,[status(thm)],[f954]) ).
fof(f957,definition,
( sQ27_spl
<=> op(e1,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f958,plain,
( ~ sQ27_spl
| op(e1,e2) = e3 ),
inference(component_clause,[status(thm)],[f957]) ).
fof(f960,plain,
( sQ27_spl
| sQ26_spl
| sQ25_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f36,f948,f951,f954,f957]) ).
fof(f961,definition,
( sQ28_spl
<=> op(e1,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f962,plain,
( ~ sQ28_spl
| op(e1,e3) = e0 ),
inference(component_clause,[status(thm)],[f961]) ).
fof(f964,definition,
( sQ29_spl
<=> op(e1,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f965,plain,
( ~ sQ29_spl
| op(e1,e3) = e1 ),
inference(component_clause,[status(thm)],[f964]) ).
fof(f967,definition,
( sQ30_spl
<=> op(e1,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f968,plain,
( ~ sQ30_spl
| op(e1,e3) = e2 ),
inference(component_clause,[status(thm)],[f967]) ).
fof(f970,definition,
( sQ31_spl
<=> op(e1,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f971,plain,
( ~ sQ31_spl
| op(e1,e3) = e3 ),
inference(component_clause,[status(thm)],[f970]) ).
fof(f973,plain,
( sQ31_spl
| sQ30_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f37,f961,f964,f967,f970]) ).
fof(f974,definition,
( sQ32_spl
<=> op(e2,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f975,plain,
( ~ sQ32_spl
| op(e2,e0) = e0 ),
inference(component_clause,[status(thm)],[f974]) ).
fof(f977,definition,
( sQ33_spl
<=> op(e2,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f978,plain,
( ~ sQ33_spl
| op(e2,e0) = e1 ),
inference(component_clause,[status(thm)],[f977]) ).
fof(f979,plain,
( sQ33_spl
| op(e2,e0) != e1 ),
inference(component_clause,[status(thm)],[f977]) ).
fof(f980,definition,
( sQ34_spl
<=> op(e2,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f981,plain,
( ~ sQ34_spl
| op(e2,e0) = e2 ),
inference(component_clause,[status(thm)],[f980]) ).
fof(f983,definition,
( sQ35_spl
<=> op(e2,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f984,plain,
( ~ sQ35_spl
| op(e2,e0) = e3 ),
inference(component_clause,[status(thm)],[f983]) ).
fof(f985,plain,
( sQ35_spl
| op(e2,e0) != e3 ),
inference(component_clause,[status(thm)],[f983]) ).
fof(f986,plain,
( sQ35_spl
| sQ34_spl
| sQ33_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f38,f974,f977,f980,f983]) ).
fof(f987,definition,
( sQ36_spl
<=> op(e2,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f988,plain,
( ~ sQ36_spl
| op(e2,e1) = e0 ),
inference(component_clause,[status(thm)],[f987]) ).
fof(f990,definition,
( sQ37_spl
<=> op(e2,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f991,plain,
( ~ sQ37_spl
| op(e2,e1) = e1 ),
inference(component_clause,[status(thm)],[f990]) ).
fof(f993,definition,
( sQ38_spl
<=> op(e2,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f994,plain,
( ~ sQ38_spl
| op(e2,e1) = e2 ),
inference(component_clause,[status(thm)],[f993]) ).
fof(f996,definition,
( sQ39_spl
<=> op(e2,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f997,plain,
( ~ sQ39_spl
| op(e2,e1) = e3 ),
inference(component_clause,[status(thm)],[f996]) ).
fof(f998,plain,
( sQ39_spl
| op(e2,e1) != e3 ),
inference(component_clause,[status(thm)],[f996]) ).
fof(f999,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f39,f987,f990,f993,f996]) ).
fof(f1000,definition,
( sQ40_spl
<=> op(e2,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f1001,plain,
( ~ sQ40_spl
| op(e2,e2) = e0 ),
inference(component_clause,[status(thm)],[f1000]) ).
fof(f1003,definition,
( sQ41_spl
<=> op(e2,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f1004,plain,
( ~ sQ41_spl
| op(e2,e2) = e1 ),
inference(component_clause,[status(thm)],[f1003]) ).
fof(f1006,definition,
( sQ42_spl
<=> op(e2,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f1007,plain,
( ~ sQ42_spl
| op(e2,e2) = e2 ),
inference(component_clause,[status(thm)],[f1006]) ).
fof(f1009,definition,
( sQ43_spl
<=> op(e2,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f1010,plain,
( ~ sQ43_spl
| op(e2,e2) = e3 ),
inference(component_clause,[status(thm)],[f1009]) ).
fof(f1012,plain,
( sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f40,f1000,f1003,f1006,f1009]) ).
fof(f1013,definition,
( sQ44_spl
<=> op(e2,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f1014,plain,
( ~ sQ44_spl
| op(e2,e3) = e0 ),
inference(component_clause,[status(thm)],[f1013]) ).
fof(f1016,definition,
( sQ45_spl
<=> op(e2,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f1017,plain,
( ~ sQ45_spl
| op(e2,e3) = e1 ),
inference(component_clause,[status(thm)],[f1016]) ).
fof(f1019,definition,
( sQ46_spl
<=> op(e2,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f1020,plain,
( ~ sQ46_spl
| op(e2,e3) = e2 ),
inference(component_clause,[status(thm)],[f1019]) ).
fof(f1022,definition,
( sQ47_spl
<=> op(e2,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f1023,plain,
( ~ sQ47_spl
| op(e2,e3) = e3 ),
inference(component_clause,[status(thm)],[f1022]) ).
fof(f1025,plain,
( sQ47_spl
| sQ46_spl
| sQ45_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f41,f1013,f1016,f1019,f1022]) ).
fof(f1026,definition,
( sQ48_spl
<=> op(e3,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f1027,plain,
( ~ sQ48_spl
| op(e3,e0) = e0 ),
inference(component_clause,[status(thm)],[f1026]) ).
fof(f1028,plain,
( sQ48_spl
| op(e3,e0) != e0 ),
inference(component_clause,[status(thm)],[f1026]) ).
fof(f1029,definition,
( sQ49_spl
<=> op(e3,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f1030,plain,
( ~ sQ49_spl
| op(e3,e0) = e1 ),
inference(component_clause,[status(thm)],[f1029]) ).
fof(f1032,definition,
( sQ50_spl
<=> op(e3,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f1033,plain,
( ~ sQ50_spl
| op(e3,e0) = e2 ),
inference(component_clause,[status(thm)],[f1032]) ).
fof(f1035,definition,
( sQ51_spl
<=> op(e3,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f1036,plain,
( ~ sQ51_spl
| op(e3,e0) = e3 ),
inference(component_clause,[status(thm)],[f1035]) ).
fof(f1038,plain,
( sQ51_spl
| sQ50_spl
| sQ49_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f42,f1026,f1029,f1032,f1035]) ).
fof(f1039,definition,
( sQ52_spl
<=> op(e3,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f1040,plain,
( ~ sQ52_spl
| op(e3,e1) = e0 ),
inference(component_clause,[status(thm)],[f1039]) ).
fof(f1042,definition,
( sQ53_spl
<=> op(e3,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f1043,plain,
( ~ sQ53_spl
| op(e3,e1) = e1 ),
inference(component_clause,[status(thm)],[f1042]) ).
fof(f1045,definition,
( sQ54_spl
<=> op(e3,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f1046,plain,
( ~ sQ54_spl
| op(e3,e1) = e2 ),
inference(component_clause,[status(thm)],[f1045]) ).
fof(f1048,definition,
( sQ55_spl
<=> op(e3,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f1049,plain,
( ~ sQ55_spl
| op(e3,e1) = e3 ),
inference(component_clause,[status(thm)],[f1048]) ).
fof(f1051,plain,
( sQ55_spl
| sQ54_spl
| sQ53_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f43,f1039,f1042,f1045,f1048]) ).
fof(f1052,definition,
( sQ56_spl
<=> op(e3,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f1053,plain,
( ~ sQ56_spl
| op(e3,e2) = e0 ),
inference(component_clause,[status(thm)],[f1052]) ).
fof(f1054,plain,
( sQ56_spl
| op(e3,e2) != e0 ),
inference(component_clause,[status(thm)],[f1052]) ).
fof(f1055,definition,
( sQ57_spl
<=> op(e3,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f1056,plain,
( ~ sQ57_spl
| op(e3,e2) = e1 ),
inference(component_clause,[status(thm)],[f1055]) ).
fof(f1057,plain,
( sQ57_spl
| op(e3,e2) != e1 ),
inference(component_clause,[status(thm)],[f1055]) ).
fof(f1058,definition,
( sQ58_spl
<=> op(e3,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f1059,plain,
( ~ sQ58_spl
| op(e3,e2) = e2 ),
inference(component_clause,[status(thm)],[f1058]) ).
fof(f1061,definition,
( sQ59_spl
<=> op(e3,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f1062,plain,
( ~ sQ59_spl
| op(e3,e2) = e3 ),
inference(component_clause,[status(thm)],[f1061]) ).
fof(f1063,plain,
( sQ59_spl
| op(e3,e2) != e3 ),
inference(component_clause,[status(thm)],[f1061]) ).
fof(f1064,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f44,f1052,f1055,f1058,f1061]) ).
fof(f1065,definition,
( sQ60_spl
<=> op(e3,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f1066,plain,
( ~ sQ60_spl
| op(e3,e3) = e0 ),
inference(component_clause,[status(thm)],[f1065]) ).
fof(f1068,definition,
( sQ61_spl
<=> op(e3,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f1069,plain,
( ~ sQ61_spl
| op(e3,e3) = e1 ),
inference(component_clause,[status(thm)],[f1068]) ).
fof(f1071,definition,
( sQ62_spl
<=> op(e3,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f1072,plain,
( ~ sQ62_spl
| op(e3,e3) = e2 ),
inference(component_clause,[status(thm)],[f1071]) ).
fof(f1074,definition,
( sQ63_spl
<=> op(e3,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f1075,plain,
( ~ sQ63_spl
| op(e3,e3) = e3 ),
inference(component_clause,[status(thm)],[f1074]) ).
fof(f1077,plain,
( sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f45,f1065,f1068,f1071,f1074]) ).
fof(f1078,plain,
( sQ12_spl
| sQ8_spl
| sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f46,f870,f883,f896,f909]) ).
fof(f1079,plain,
( sQ48_spl
| sQ32_spl
| sQ16_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f47,f870,f922,f974,f1026]) ).
fof(f1080,plain,
( sQ13_spl
| sQ9_spl
| sQ5_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f48,f873,f886,f899,f912]) ).
fof(f1081,plain,
( sQ49_spl
| sQ33_spl
| sQ17_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f49,f873,f925,f977,f1029]) ).
fof(f1082,plain,
( sQ14_spl
| sQ10_spl
| sQ6_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f50,f876,f889,f902,f915]) ).
fof(f1083,plain,
( sQ50_spl
| sQ34_spl
| sQ18_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f51,f876,f928,f980,f1032]) ).
fof(f1084,plain,
( sQ15_spl
| sQ11_spl
| sQ7_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f52,f879,f892,f905,f918]) ).
fof(f1085,plain,
( sQ51_spl
| sQ35_spl
| sQ19_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f53,f879,f931,f983,f1035]) ).
fof(f1086,plain,
( sQ28_spl
| sQ24_spl
| sQ20_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f54,f922,f935,f948,f961]) ).
fof(f1087,plain,
( sQ52_spl
| sQ36_spl
| sQ20_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f55,f883,f935,f987,f1039]) ).
fof(f1088,plain,
( sQ29_spl
| sQ25_spl
| sQ21_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f56,f925,f938,f951,f964]) ).
fof(f1089,plain,
( sQ53_spl
| sQ37_spl
| sQ21_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f57,f886,f938,f990,f1042]) ).
fof(f1090,plain,
( sQ30_spl
| sQ26_spl
| sQ22_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f58,f928,f941,f954,f967]) ).
fof(f1091,plain,
( sQ54_spl
| sQ38_spl
| sQ22_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f59,f889,f941,f993,f1045]) ).
fof(f1092,plain,
( sQ31_spl
| sQ27_spl
| sQ23_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f60,f931,f944,f957,f970]) ).
fof(f1093,plain,
( sQ55_spl
| sQ39_spl
| sQ23_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f61,f892,f944,f996,f1048]) ).
fof(f1094,plain,
( sQ44_spl
| sQ40_spl
| sQ36_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f62,f974,f987,f1000,f1013]) ).
fof(f1095,plain,
( sQ56_spl
| sQ40_spl
| sQ24_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f63,f896,f948,f1000,f1052]) ).
fof(f1096,plain,
( sQ45_spl
| sQ41_spl
| sQ37_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f64,f977,f990,f1003,f1016]) ).
fof(f1097,plain,
( sQ57_spl
| sQ41_spl
| sQ25_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f65,f899,f951,f1003,f1055]) ).
fof(f1098,plain,
( sQ46_spl
| sQ42_spl
| sQ38_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f66,f980,f993,f1006,f1019]) ).
fof(f1099,plain,
( sQ58_spl
| sQ42_spl
| sQ26_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f67,f902,f954,f1006,f1058]) ).
fof(f1100,plain,
( sQ47_spl
| sQ43_spl
| sQ39_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f68,f983,f996,f1009,f1022]) ).
fof(f1101,plain,
( sQ59_spl
| sQ43_spl
| sQ27_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f69,f905,f957,f1009,f1061]) ).
fof(f1102,plain,
( sQ60_spl
| sQ56_spl
| sQ52_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f70,f1026,f1039,f1052,f1065]) ).
fof(f1103,plain,
( sQ60_spl
| sQ44_spl
| sQ28_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f71,f909,f961,f1013,f1065]) ).
fof(f1104,plain,
( sQ61_spl
| sQ57_spl
| sQ53_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f72,f1029,f1042,f1055,f1068]) ).
fof(f1105,plain,
( sQ61_spl
| sQ45_spl
| sQ29_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f73,f912,f964,f1016,f1068]) ).
fof(f1106,plain,
( sQ62_spl
| sQ58_spl
| sQ54_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f74,f1032,f1045,f1058,f1071]) ).
fof(f1107,plain,
( sQ62_spl
| sQ46_spl
| sQ30_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f75,f915,f967,f1019,f1071]) ).
fof(f1108,plain,
( sQ63_spl
| sQ59_spl
| sQ55_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f76,f1035,f1048,f1061,f1074]) ).
fof(f1109,plain,
( sQ63_spl
| sQ47_spl
| sQ31_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f77,f918,f970,f1022,f1074]) ).
fof(f1110,definition,
( sQ64_spl
<=> sP0_prd ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f1113,plain,
( sQ63_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f137,f1110,f1074]) ).
fof(f1115,plain,
( ~ sQ12_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f139,f1110,f909]) ).
fof(f1116,plain,
( ~ sQ29_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f140,f1110,f964]) ).
fof(f1117,plain,
( ~ sQ46_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f141,f1110,f1019]) ).
fof(f1118,plain,
( ~ sQ63_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f142,f1110,f1074]) ).
fof(f1119,definition,
( sQ65_spl
<=> sP1_prd ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f1122,definition,
( sQ66_spl
<=> op(e3,e3) = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f1125,plain,
( sQ66_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f143,f1119,f1122]) ).
fof(f1126,plain,
( ~ sQ66_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f144,f1119,f1122]) ).
fof(f1127,definition,
( sQ67_spl
<=> op(e3,op(e3,e3)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f1128,plain,
( ~ sQ67_spl
| op(e3,op(e3,e3)) = e3 ),
inference(component_clause,[status(thm)],[f1127]) ).
fof(f1129,plain,
( sQ67_spl
| op(e3,op(e3,e3)) != e3 ),
inference(component_clause,[status(thm)],[f1127]) ).
fof(f1130,plain,
( sQ67_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f145,f1119,f1127]) ).
fof(f1131,definition,
( sQ68_spl
<=> sP2_prd ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f1134,plain,
( sQ63_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f146,f1131,f1074]) ).
fof(f1138,plain,
( ~ sQ63_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f150,f1131,f1074]) ).
fof(f1139,definition,
( sQ69_spl
<=> e2 = op(op(e0,op(e0,e0)),e0) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f1140,plain,
( ~ sQ69_spl
| e2 = op(op(e0,op(e0,e0)),e0) ),
inference(component_clause,[status(thm)],[f1139]) ).
fof(f1141,plain,
( sQ69_spl
| e2 != op(op(e0,op(e0,e0)),e0) ),
inference(component_clause,[status(thm)],[f1139]) ).
fof(f1142,definition,
( sQ70_spl
<=> e3 = op(e0,op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f1144,plain,
( sQ70_spl
| e3 != op(e0,op(e0,e0)) ),
inference(component_clause,[status(thm)],[f1142]) ).
fof(f1145,plain,
( ~ sQ70_spl
| ~ sQ69_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f152,f873,f1139,f1142]) ).
fof(f1146,definition,
( sQ71_spl
<=> e3 = op(op(e0,op(e0,e0)),e0) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f1148,plain,
( sQ71_spl
| e3 != op(op(e0,op(e0,e0)),e0) ),
inference(component_clause,[status(thm)],[f1146]) ).
fof(f1149,definition,
( sQ72_spl
<=> e2 = op(e0,op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f1151,plain,
( sQ72_spl
| e2 != op(e0,op(e0,e0)) ),
inference(component_clause,[status(thm)],[f1149]) ).
fof(f1152,plain,
( ~ sQ72_spl
| ~ sQ71_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f154,f873,f1146,f1149]) ).
fof(f1153,definition,
( sQ73_spl
<=> e1 = op(op(e0,op(e0,e0)),e0) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f1155,plain,
( sQ73_spl
| e1 != op(op(e0,op(e0,e0)),e0) ),
inference(component_clause,[status(thm)],[f1153]) ).
fof(f1156,plain,
( ~ sQ70_spl
| ~ sQ73_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f156,f876,f1153,f1142]) ).
fof(f1157,definition,
( sQ74_spl
<=> e1 = op(e0,op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f1158,plain,
( ~ sQ74_spl
| e1 = op(e0,op(e0,e0)) ),
inference(component_clause,[status(thm)],[f1157]) ).
fof(f1159,plain,
( sQ74_spl
| e1 != op(e0,op(e0,e0)) ),
inference(component_clause,[status(thm)],[f1157]) ).
fof(f1160,plain,
( ~ sQ74_spl
| ~ sQ71_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f158,f876,f1146,f1157]) ).
fof(f1161,plain,
( ~ sQ72_spl
| ~ sQ73_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f160,f879,f1153,f1149]) ).
fof(f1162,plain,
( ~ sQ74_spl
| ~ sQ69_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f162,f879,f1139,f1157]) ).
fof(f1163,definition,
( sQ75_spl
<=> e2 = op(op(e1,op(e1,e1)),e1) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f1164,plain,
( ~ sQ75_spl
| e2 = op(op(e1,op(e1,e1)),e1) ),
inference(component_clause,[status(thm)],[f1163]) ).
fof(f1165,plain,
( sQ75_spl
| e2 != op(op(e1,op(e1,e1)),e1) ),
inference(component_clause,[status(thm)],[f1163]) ).
fof(f1166,definition,
( sQ76_spl
<=> e3 = op(e1,op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f1167,plain,
( ~ sQ76_spl
| e3 = op(e1,op(e1,e1)) ),
inference(component_clause,[status(thm)],[f1166]) ).
fof(f1168,plain,
( sQ76_spl
| e3 != op(e1,op(e1,e1)) ),
inference(component_clause,[status(thm)],[f1166]) ).
fof(f1169,plain,
( ~ sQ76_spl
| ~ sQ75_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f164,f935,f1163,f1166]) ).
fof(f1170,definition,
( sQ77_spl
<=> e3 = op(op(e1,op(e1,e1)),e1) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f1172,plain,
( sQ77_spl
| e3 != op(op(e1,op(e1,e1)),e1) ),
inference(component_clause,[status(thm)],[f1170]) ).
fof(f1173,definition,
( sQ78_spl
<=> e2 = op(e1,op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f1174,plain,
( ~ sQ78_spl
| e2 = op(e1,op(e1,e1)) ),
inference(component_clause,[status(thm)],[f1173]) ).
fof(f1175,plain,
( sQ78_spl
| e2 != op(e1,op(e1,e1)) ),
inference(component_clause,[status(thm)],[f1173]) ).
fof(f1176,plain,
( ~ sQ78_spl
| ~ sQ77_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f166,f935,f1170,f1173]) ).
fof(f1177,definition,
( sQ79_spl
<=> e0 = op(op(e1,op(e1,e1)),e1) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f1179,plain,
( sQ79_spl
| e0 != op(op(e1,op(e1,e1)),e1) ),
inference(component_clause,[status(thm)],[f1177]) ).
fof(f1180,plain,
( ~ sQ76_spl
| ~ sQ79_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f168,f941,f1177,f1166]) ).
fof(f1181,definition,
( sQ80_spl
<=> e0 = op(e1,op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f1183,plain,
( sQ80_spl
| e0 != op(e1,op(e1,e1)) ),
inference(component_clause,[status(thm)],[f1181]) ).
fof(f1184,plain,
( ~ sQ80_spl
| ~ sQ77_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f170,f941,f1170,f1181]) ).
fof(f1185,plain,
( ~ sQ78_spl
| ~ sQ79_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f172,f944,f1177,f1173]) ).
fof(f1186,plain,
( ~ sQ80_spl
| ~ sQ75_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f174,f944,f1163,f1181]) ).
fof(f1187,definition,
( sQ81_spl
<=> e1 = op(op(e2,op(e2,e2)),e2) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f1189,plain,
( sQ81_spl
| e1 != op(op(e2,op(e2,e2)),e2) ),
inference(component_clause,[status(thm)],[f1187]) ).
fof(f1190,definition,
( sQ82_spl
<=> e3 = op(e2,op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f1192,plain,
( sQ82_spl
| e3 != op(e2,op(e2,e2)) ),
inference(component_clause,[status(thm)],[f1190]) ).
fof(f1193,plain,
( ~ sQ82_spl
| ~ sQ81_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f176,f1000,f1187,f1190]) ).
fof(f1194,definition,
( sQ83_spl
<=> e3 = op(op(e2,op(e2,e2)),e2) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f1195,plain,
( ~ sQ83_spl
| e3 = op(op(e2,op(e2,e2)),e2) ),
inference(component_clause,[status(thm)],[f1194]) ).
fof(f1196,plain,
( sQ83_spl
| e3 != op(op(e2,op(e2,e2)),e2) ),
inference(component_clause,[status(thm)],[f1194]) ).
fof(f1197,definition,
( sQ84_spl
<=> e1 = op(e2,op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f1199,plain,
( sQ84_spl
| e1 != op(e2,op(e2,e2)) ),
inference(component_clause,[status(thm)],[f1197]) ).
fof(f1200,plain,
( ~ sQ84_spl
| ~ sQ83_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f178,f1000,f1194,f1197]) ).
fof(f1201,definition,
( sQ85_spl
<=> e0 = op(op(e2,op(e2,e2)),e2) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f1203,plain,
( sQ85_spl
| e0 != op(op(e2,op(e2,e2)),e2) ),
inference(component_clause,[status(thm)],[f1201]) ).
fof(f1204,plain,
( ~ sQ82_spl
| ~ sQ85_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f180,f1003,f1201,f1190]) ).
fof(f1205,definition,
( sQ86_spl
<=> e0 = op(e2,op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f1206,plain,
( ~ sQ86_spl
| e0 = op(e2,op(e2,e2)) ),
inference(component_clause,[status(thm)],[f1205]) ).
fof(f1207,plain,
( sQ86_spl
| e0 != op(e2,op(e2,e2)) ),
inference(component_clause,[status(thm)],[f1205]) ).
fof(f1208,plain,
( ~ sQ86_spl
| ~ sQ83_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f182,f1003,f1194,f1205]) ).
fof(f1209,plain,
( ~ sQ84_spl
| ~ sQ85_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f184,f1009,f1201,f1197]) ).
fof(f1210,plain,
( ~ sQ86_spl
| ~ sQ81_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f186,f1009,f1187,f1205]) ).
fof(f1211,definition,
( sQ87_spl
<=> e1 = op(op(e3,op(e3,e3)),e3) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f1212,plain,
( ~ sQ87_spl
| e1 = op(op(e3,op(e3,e3)),e3) ),
inference(component_clause,[status(thm)],[f1211]) ).
fof(f1213,plain,
( sQ87_spl
| e1 != op(op(e3,op(e3,e3)),e3) ),
inference(component_clause,[status(thm)],[f1211]) ).
fof(f1214,definition,
( sQ88_spl
<=> e2 = op(e3,op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f1216,plain,
( sQ88_spl
| e2 != op(e3,op(e3,e3)) ),
inference(component_clause,[status(thm)],[f1214]) ).
fof(f1217,plain,
( ~ sQ88_spl
| ~ sQ87_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f188,f1065,f1211,f1214]) ).
fof(f1218,definition,
( sQ89_spl
<=> e2 = op(op(e3,op(e3,e3)),e3) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f1219,plain,
( ~ sQ89_spl
| e2 = op(op(e3,op(e3,e3)),e3) ),
inference(component_clause,[status(thm)],[f1218]) ).
fof(f1220,plain,
( sQ89_spl
| e2 != op(op(e3,op(e3,e3)),e3) ),
inference(component_clause,[status(thm)],[f1218]) ).
fof(f1221,definition,
( sQ90_spl
<=> e1 = op(e3,op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f1223,plain,
( sQ90_spl
| e1 != op(e3,op(e3,e3)) ),
inference(component_clause,[status(thm)],[f1221]) ).
fof(f1224,plain,
( ~ sQ90_spl
| ~ sQ89_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f190,f1065,f1218,f1221]) ).
fof(f1225,definition,
( sQ91_spl
<=> e0 = op(op(e3,op(e3,e3)),e3) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f1227,plain,
( sQ91_spl
| e0 != op(op(e3,op(e3,e3)),e3) ),
inference(component_clause,[status(thm)],[f1225]) ).
fof(f1228,plain,
( ~ sQ88_spl
| ~ sQ91_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f192,f1068,f1225,f1214]) ).
fof(f1229,definition,
( sQ92_spl
<=> e0 = op(e3,op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f1230,plain,
( ~ sQ92_spl
| e0 = op(e3,op(e3,e3)) ),
inference(component_clause,[status(thm)],[f1229]) ).
fof(f1231,plain,
( sQ92_spl
| e0 != op(e3,op(e3,e3)) ),
inference(component_clause,[status(thm)],[f1229]) ).
fof(f1232,plain,
( ~ sQ92_spl
| ~ sQ89_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f194,f1068,f1218,f1229]) ).
fof(f1233,plain,
( ~ sQ90_spl
| ~ sQ91_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f196,f1071,f1225,f1221]) ).
fof(f1234,plain,
( ~ sQ92_spl
| ~ sQ87_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f198,f1071,f1211,f1229]) ).
fof(f1235,definition,
( sQ93_spl
<=> sP3_prd ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f1238,plain,
( sQ59_spl
| sQ93_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f202,f1110,f1235,f1061]) ).
fof(f1239,plain,
( sQ47_spl
| sQ93_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f203,f1110,f1235,f1022]) ).
fof(f1240,plain,
( ~ sQ12_spl
| sQ93_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f204,f1110,f1235,f909]) ).
fof(f1241,plain,
( ~ sQ29_spl
| sQ93_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f205,f1110,f1235,f964]) ).
fof(f1242,plain,
( ~ sQ46_spl
| sQ93_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f206,f1110,f1235,f1019]) ).
fof(f1243,plain,
( ~ sQ63_spl
| sQ93_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f207,f1110,f1235,f1074]) ).
fof(f1244,plain,
( ~ sQ93_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f208,f1110,f1235]) ).
fof(f1246,definition,
( sQ94_spl
<=> sP4_prd ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f1249,definition,
( sQ95_spl
<=> op(e2,e3) = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f1250,plain,
( ~ sQ95_spl
| op(e2,e3) = op(e3,e2) ),
inference(component_clause,[status(thm)],[f1249]) ).
fof(f1251,plain,
( sQ95_spl
| op(e2,e3) != op(e3,e2) ),
inference(component_clause,[status(thm)],[f1249]) ).
fof(f1252,plain,
( sQ95_spl
| sQ94_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f213,f1119,f1246,f1249]) ).
fof(f1253,definition,
( sQ96_spl
<=> op(e2,e2) = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f1256,plain,
( ~ sQ96_spl
| sQ94_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f214,f1119,f1246,f1253]) ).
fof(f1257,definition,
( sQ97_spl
<=> op(e2,op(e3,e2)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f1258,plain,
( ~ sQ97_spl
| op(e2,op(e3,e2)) = e2 ),
inference(component_clause,[status(thm)],[f1257]) ).
fof(f1260,plain,
( sQ97_spl
| sQ94_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f215,f1119,f1246,f1257]) ).
fof(f1261,plain,
( ~ sQ94_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f216,f1119,f1246]) ).
fof(f1263,definition,
( sQ98_spl
<=> sP5_prd ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f1266,plain,
( sQ62_spl
| sQ98_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f223,f1131,f1263,f1071]) ).
fof(f1267,definition,
( sQ99_spl
<=> sP6_prd ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f1270,plain,
( sQ99_spl
| ~ sQ62_spl
| sQ98_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f224,f1131,f1263,f1071,f1267]) ).
fof(f1271,plain,
( ~ sQ47_spl
| ~ sQ59_spl
| ~ sQ62_spl
| sQ98_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f225,f1131,f1263,f1071,f1061,f1022]) ).
fof(f1272,plain,
( ~ sQ98_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f226,f1131,f1263]) ).
fof(f1274,plain,
( sQ59_spl
| ~ sQ99_spl
| ~ sQ62_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f228,f1131,f1071,f1267,f1061]) ).
fof(f1276,definition,
( sQ100_spl
<=> sP7_prd ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f1279,plain,
( sQ55_spl
| sQ100_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f233,f1235,f1276,f1048]) ).
fof(f1280,plain,
( sQ31_spl
| sQ100_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f234,f1235,f1276,f970]) ).
fof(f1281,plain,
( ~ sQ12_spl
| sQ100_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f235,f1235,f1276,f909]) ).
fof(f1282,plain,
( ~ sQ29_spl
| sQ100_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f236,f1235,f1276,f964]) ).
fof(f1283,plain,
( ~ sQ46_spl
| sQ100_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f237,f1235,f1276,f1019]) ).
fof(f1284,plain,
( ~ sQ63_spl
| sQ100_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f238,f1235,f1276,f1074]) ).
fof(f1285,plain,
( ~ sQ100_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f239,f1235,f1276]) ).
fof(f1286,plain,
( sQ63_spl
| sQ46_spl
| sQ29_spl
| sQ12_spl
| ~ sQ31_spl
| ~ sQ55_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f240,f1235,f1048,f970,f909,f964,f1019,f1074]) ).
fof(f1287,definition,
( sQ101_spl
<=> sP8_prd ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f1290,definition,
( sQ102_spl
<=> op(e1,e3) = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f1291,plain,
( ~ sQ102_spl
| op(e1,e3) = op(e3,e1) ),
inference(component_clause,[status(thm)],[f1290]) ).
fof(f1292,plain,
( sQ102_spl
| op(e1,e3) != op(e3,e1) ),
inference(component_clause,[status(thm)],[f1290]) ).
fof(f1293,plain,
( sQ102_spl
| sQ101_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f244,f1246,f1287,f1290]) ).
fof(f1294,definition,
( sQ103_spl
<=> op(e1,e1) = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f1295,plain,
( ~ sQ103_spl
| op(e1,e1) = op(e3,e1) ),
inference(component_clause,[status(thm)],[f1294]) ).
fof(f1298,definition,
( sQ104_spl
<=> op(e1,op(e3,e1)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f1299,plain,
( ~ sQ104_spl
| op(e1,op(e3,e1)) = e1 ),
inference(component_clause,[status(thm)],[f1298]) ).
fof(f1301,plain,
( sQ104_spl
| sQ101_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f246,f1246,f1287,f1298]) ).
fof(f1302,plain,
( ~ sQ101_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f247,f1246,f1287]) ).
fof(f1303,plain,
( ~ sQ104_spl
| sQ103_spl
| ~ sQ102_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f248,f1246,f1290,f1294,f1298]) ).
fof(f1304,definition,
( sQ105_spl
<=> sP9_prd ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f1307,plain,
( sQ61_spl
| sQ105_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f254,f1263,f1304,f1068]) ).
fof(f1308,definition,
( sQ106_spl
<=> sP10_prd ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f1311,plain,
( sQ106_spl
| ~ sQ61_spl
| sQ105_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f255,f1263,f1304,f1068,f1308]) ).
fof(f1312,plain,
( ~ sQ31_spl
| ~ sQ55_spl
| ~ sQ61_spl
| sQ105_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f256,f1263,f1304,f1068,f1048,f970]) ).
fof(f1313,plain,
( ~ sQ105_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f257,f1263,f1304]) ).
fof(f1316,plain,
( sQ31_spl
| ~ sQ106_spl
| ~ sQ61_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f260,f1263,f1068,f1308,f970]) ).
fof(f1317,definition,
( sQ107_spl
<=> sP11_prd ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f1320,plain,
( sQ107_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f264,f1267,f1317]) ).
fof(f1321,plain,
( ~ sQ46_spl
| ~ sQ58_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f265,f1267,f1058,f1019]) ).
fof(f1322,plain,
( sQ58_spl
| ~ sQ107_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f266,f1267,f1317,f1058]) ).
fof(f1323,plain,
( sQ46_spl
| ~ sQ107_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f267,f1267,f1317,f1019]) ).
fof(f1324,definition,
( sQ108_spl
<=> sP12_prd ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f1327,plain,
( sQ51_spl
| sQ108_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f271,f1276,f1324,f1035]) ).
fof(f1328,plain,
( sQ15_spl
| sQ108_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f272,f1276,f1324,f918]) ).
fof(f1329,plain,
( ~ sQ12_spl
| sQ108_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f273,f1276,f1324,f909]) ).
fof(f1330,plain,
( ~ sQ29_spl
| sQ108_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f274,f1276,f1324,f964]) ).
fof(f1331,plain,
( ~ sQ46_spl
| sQ108_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f275,f1276,f1324,f1019]) ).
fof(f1332,plain,
( ~ sQ63_spl
| sQ108_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f276,f1276,f1324,f1074]) ).
fof(f1333,plain,
( ~ sQ108_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f277,f1276,f1324]) ).
fof(f1335,definition,
( sQ109_spl
<=> sP13_prd ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f1338,definition,
( sQ110_spl
<=> op(e0,e3) = op(e3,e0) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f1339,plain,
( ~ sQ110_spl
| op(e0,e3) = op(e3,e0) ),
inference(component_clause,[status(thm)],[f1338]) ).
fof(f1340,plain,
( sQ110_spl
| op(e0,e3) != op(e3,e0) ),
inference(component_clause,[status(thm)],[f1338]) ).
fof(f1341,plain,
( sQ110_spl
| sQ109_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f282,f1287,f1335,f1338]) ).
fof(f1342,definition,
( sQ111_spl
<=> op(e0,e0) = op(e3,e0) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f1344,plain,
( sQ111_spl
| op(e0,e0) != op(e3,e0) ),
inference(component_clause,[status(thm)],[f1342]) ).
fof(f1345,plain,
( ~ sQ111_spl
| sQ109_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f283,f1287,f1335,f1342]) ).
fof(f1346,definition,
( sQ112_spl
<=> op(e0,op(e3,e0)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f1347,plain,
( ~ sQ112_spl
| op(e0,op(e3,e0)) = e0 ),
inference(component_clause,[status(thm)],[f1346]) ).
fof(f1348,plain,
( sQ112_spl
| op(e0,op(e3,e0)) != e0 ),
inference(component_clause,[status(thm)],[f1346]) ).
fof(f1349,plain,
( sQ112_spl
| sQ109_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f284,f1287,f1335,f1346]) ).
fof(f1350,plain,
( ~ sQ109_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f285,f1287,f1335]) ).
fof(f1351,plain,
( ~ sQ112_spl
| sQ111_spl
| ~ sQ110_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f286,f1287,f1338,f1342,f1346]) ).
fof(f1352,definition,
( sQ113_spl
<=> sP14_prd ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f1355,plain,
( sQ60_spl
| sQ113_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f292,f1304,f1352,f1065]) ).
fof(f1356,definition,
( sQ114_spl
<=> sP15_prd ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f1359,plain,
( sQ114_spl
| ~ sQ60_spl
| sQ113_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f293,f1304,f1352,f1065,f1356]) ).
fof(f1360,plain,
( ~ sQ15_spl
| ~ sQ51_spl
| ~ sQ60_spl
| sQ113_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f294,f1304,f1352,f1065,f1035,f918]) ).
fof(f1361,plain,
( ~ sQ113_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f295,f1304,f1352]) ).
fof(f1364,plain,
( sQ15_spl
| ~ sQ114_spl
| ~ sQ60_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f298,f1304,f1065,f1356,f918]) ).
fof(f1365,definition,
( sQ115_spl
<=> sP16_prd ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f1368,plain,
( sQ115_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f302,f1308,f1365]) ).
fof(f1369,plain,
( ~ sQ30_spl
| ~ sQ54_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f303,f1308,f1045,f967]) ).
fof(f1370,plain,
( sQ54_spl
| ~ sQ115_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f304,f1308,f1365,f1045]) ).
fof(f1371,plain,
( sQ30_spl
| ~ sQ115_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f305,f1308,f1365,f967]) ).
fof(f1372,plain,
( ~ sQ44_spl
| ~ sQ56_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f307,f1317,f1052,f1013]) ).
fof(f1373,plain,
( ~ sQ45_spl
| ~ sQ57_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f308,f1317,f1055,f1016]) ).
fof(f1374,plain,
( sQ57_spl
| sQ56_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f309,f1317,f1052,f1055]) ).
fof(f1375,plain,
( sQ45_spl
| sQ56_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f310,f1317,f1052,f1016]) ).
fof(f1376,plain,
( sQ57_spl
| sQ44_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f311,f1317,f1013,f1055]) ).
fof(f1377,plain,
( sQ45_spl
| sQ44_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f312,f1317,f1013,f1016]) ).
fof(f1378,definition,
( sQ116_spl
<=> sP17_prd ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f1381,plain,
( sQ46_spl
| sQ116_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f316,f1324,f1378,f1019]) ).
fof(f1382,plain,
( sQ58_spl
| sQ116_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f317,f1324,f1378,f1058]) ).
fof(f1383,plain,
( ~ sQ8_spl
| sQ116_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f318,f1324,f1378,f896]) ).
fof(f1384,plain,
( ~ sQ25_spl
| sQ116_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f319,f1324,f1378,f951]) ).
fof(f1385,plain,
( ~ sQ42_spl
| sQ116_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f320,f1324,f1378,f1006]) ).
fof(f1386,plain,
( ~ sQ59_spl
| sQ116_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f321,f1324,f1378,f1061]) ).
fof(f1387,plain,
( ~ sQ116_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f322,f1324,f1378]) ).
fof(f1389,definition,
( sQ117_spl
<=> sP18_prd ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f1392,plain,
( sQ95_spl
| sQ117_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f327,f1335,f1389,f1249]) ).
fof(f1393,definition,
( sQ118_spl
<=> op(e3,e3) = op(e2,e3) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f1394,plain,
( ~ sQ118_spl
| op(e3,e3) = op(e2,e3) ),
inference(component_clause,[status(thm)],[f1393]) ).
fof(f1397,definition,
( sQ119_spl
<=> op(e3,op(e2,e3)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f1398,plain,
( ~ sQ119_spl
| op(e3,op(e2,e3)) = e3 ),
inference(component_clause,[status(thm)],[f1397]) ).
fof(f1399,plain,
( sQ119_spl
| op(e3,op(e2,e3)) != e3 ),
inference(component_clause,[status(thm)],[f1397]) ).
fof(f1400,plain,
( sQ119_spl
| sQ117_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f329,f1335,f1389,f1397]) ).
fof(f1401,plain,
( ~ sQ117_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f330,f1335,f1389]) ).
fof(f1402,plain,
( ~ sQ119_spl
| sQ118_spl
| ~ sQ95_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f331,f1335,f1249,f1393,f1397]) ).
fof(f1403,definition,
( sQ120_spl
<=> sP19_prd ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f1406,plain,
( sQ43_spl
| sQ120_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f337,f1352,f1403,f1009]) ).
fof(f1407,definition,
( sQ121_spl
<=> sP20_prd ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f1410,plain,
( sQ121_spl
| ~ sQ43_spl
| sQ120_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f338,f1352,f1403,f1009,f1407]) ).
fof(f1412,plain,
( ~ sQ120_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f340,f1352,f1403]) ).
fof(f1414,plain,
( sQ47_spl
| ~ sQ121_spl
| ~ sQ43_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f342,f1352,f1009,f1407,f1022]) ).
fof(f1416,definition,
( sQ122_spl
<=> sP21_prd ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f1419,plain,
( sQ122_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f347,f1356,f1416]) ).
fof(f1420,plain,
( ~ sQ14_spl
| ~ sQ50_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f348,f1356,f1032,f915]) ).
fof(f1421,plain,
( sQ50_spl
| ~ sQ122_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f349,f1356,f1416,f1032]) ).
fof(f1422,plain,
( sQ14_spl
| ~ sQ122_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f350,f1356,f1416,f915]) ).
fof(f1423,plain,
( ~ sQ28_spl
| ~ sQ52_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f352,f1365,f1039,f961]) ).
fof(f1424,plain,
( ~ sQ29_spl
| ~ sQ53_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f353,f1365,f1042,f964]) ).
fof(f1425,plain,
( sQ53_spl
| sQ52_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f354,f1365,f1039,f1042]) ).
fof(f1426,plain,
( sQ29_spl
| sQ52_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f355,f1365,f1039,f964]) ).
fof(f1427,plain,
( sQ53_spl
| sQ28_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f356,f1365,f961,f1042]) ).
fof(f1428,plain,
( sQ29_spl
| sQ28_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f357,f1365,f961,f964]) ).
fof(f1429,definition,
( sQ123_spl
<=> sP22_prd ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f1432,plain,
( sQ42_spl
| sQ123_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f361,f1378,f1429,f1006]) ).
fof(f1434,plain,
( ~ sQ8_spl
| sQ123_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f363,f1378,f1429,f896]) ).
fof(f1435,plain,
( ~ sQ25_spl
| sQ123_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f364,f1378,f1429,f951]) ).
fof(f1436,plain,
( ~ sQ42_spl
| sQ123_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f365,f1378,f1429,f1006]) ).
fof(f1437,plain,
( ~ sQ59_spl
| sQ123_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f366,f1378,f1429,f1061]) ).
fof(f1438,plain,
( ~ sQ123_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f367,f1378,f1429]) ).
fof(f1440,definition,
( sQ124_spl
<=> sP23_prd ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f1443,definition,
( sQ125_spl
<=> op(e2,e2) = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f1446,plain,
( sQ125_spl
| sQ124_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f372,f1389,f1440,f1443]) ).
fof(f1447,plain,
( ~ sQ125_spl
| sQ124_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f373,f1389,f1440,f1443]) ).
fof(f1448,definition,
( sQ126_spl
<=> op(e2,op(e2,e2)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f1449,plain,
( ~ sQ126_spl
| op(e2,op(e2,e2)) = e2 ),
inference(component_clause,[status(thm)],[f1448]) ).
fof(f1451,plain,
( sQ126_spl
| sQ124_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f374,f1389,f1440,f1448]) ).
fof(f1452,plain,
( ~ sQ124_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f375,f1389,f1440]) ).
fof(f1454,definition,
( sQ127_spl
<=> sP24_prd ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f1457,plain,
( sQ42_spl
| sQ127_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f382,f1403,f1454,f1006]) ).
fof(f1458,definition,
( sQ128_spl
<=> sP25_prd ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f1461,plain,
( sQ128_spl
| ~ sQ42_spl
| sQ127_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f383,f1403,f1454,f1006,f1458]) ).
fof(f1463,plain,
( ~ sQ127_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f385,f1403,f1454]) ).
fof(f1467,definition,
( sQ129_spl
<=> sP26_prd ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f1470,plain,
( sQ129_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f392,f1407,f1467]) ).
fof(f1471,plain,
( ~ sQ58_spl
| ~ sQ46_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f393,f1407,f1019,f1058]) ).
fof(f1472,plain,
( sQ46_spl
| ~ sQ129_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f394,f1407,f1467,f1019]) ).
fof(f1473,plain,
( sQ58_spl
| ~ sQ129_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f395,f1407,f1467,f1058]) ).
fof(f1474,plain,
( ~ sQ12_spl
| ~ sQ48_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f397,f1416,f1026,f909]) ).
fof(f1475,plain,
( ~ sQ13_spl
| ~ sQ49_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f398,f1416,f1029,f912]) ).
fof(f1476,plain,
( sQ49_spl
| sQ48_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f399,f1416,f1026,f1029]) ).
fof(f1477,plain,
( sQ13_spl
| sQ48_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f400,f1416,f1026,f912]) ).
fof(f1478,plain,
( sQ49_spl
| sQ12_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f401,f1416,f909,f1029]) ).
fof(f1479,plain,
( sQ13_spl
| sQ12_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f402,f1416,f909,f912]) ).
fof(f1480,definition,
( sQ130_spl
<=> sP27_prd ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f1483,plain,
( sQ38_spl
| sQ130_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f406,f1429,f1480,f993]) ).
fof(f1484,plain,
( sQ26_spl
| sQ130_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f407,f1429,f1480,f954]) ).
fof(f1485,plain,
( ~ sQ8_spl
| sQ130_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f408,f1429,f1480,f896]) ).
fof(f1486,plain,
( ~ sQ25_spl
| sQ130_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f409,f1429,f1480,f951]) ).
fof(f1487,plain,
( ~ sQ42_spl
| sQ130_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f410,f1429,f1480,f1006]) ).
fof(f1488,plain,
( ~ sQ59_spl
| sQ130_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f411,f1429,f1480,f1061]) ).
fof(f1489,plain,
( ~ sQ130_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f412,f1429,f1480]) ).
fof(f1490,plain,
( sQ59_spl
| sQ42_spl
| sQ25_spl
| sQ8_spl
| ~ sQ26_spl
| ~ sQ38_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f413,f1429,f993,f954,f896,f951,f1006,f1061]) ).
fof(f1491,definition,
( sQ131_spl
<=> sP28_prd ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f1494,definition,
( sQ132_spl
<=> op(e1,e2) = op(e2,e1) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f1495,plain,
( ~ sQ132_spl
| op(e1,e2) = op(e2,e1) ),
inference(component_clause,[status(thm)],[f1494]) ).
fof(f1496,plain,
( sQ132_spl
| op(e1,e2) != op(e2,e1) ),
inference(component_clause,[status(thm)],[f1494]) ).
fof(f1497,plain,
( sQ132_spl
| sQ131_spl
| ~ sQ124_spl ),
inference(split_clause,[status(thm)],[f417,f1440,f1491,f1494]) ).
fof(f1498,definition,
( sQ133_spl
<=> op(e1,e1) = op(e2,e1) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f1499,plain,
( ~ sQ133_spl
| op(e1,e1) = op(e2,e1) ),
inference(component_clause,[status(thm)],[f1498]) ).
fof(f1502,definition,
( sQ134_spl
<=> op(e1,op(e2,e1)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f1503,plain,
( ~ sQ134_spl
| op(e1,op(e2,e1)) = e1 ),
inference(component_clause,[status(thm)],[f1502]) ).
fof(f1504,plain,
( sQ134_spl
| op(e1,op(e2,e1)) != e1 ),
inference(component_clause,[status(thm)],[f1502]) ).
fof(f1505,plain,
( sQ134_spl
| sQ131_spl
| ~ sQ124_spl ),
inference(split_clause,[status(thm)],[f419,f1440,f1491,f1502]) ).
fof(f1506,plain,
( ~ sQ131_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f420,f1440,f1491]) ).
fof(f1507,plain,
( ~ sQ134_spl
| sQ133_spl
| ~ sQ132_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f421,f1440,f1494,f1498,f1502]) ).
fof(f1508,definition,
( sQ135_spl
<=> sP29_prd ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f1511,plain,
( sQ41_spl
| sQ135_spl
| ~ sQ127_spl ),
inference(split_clause,[status(thm)],[f427,f1454,f1508,f1003]) ).
fof(f1512,definition,
( sQ136_spl
<=> sP30_prd ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f1515,plain,
( sQ136_spl
| ~ sQ41_spl
| sQ135_spl
| ~ sQ127_spl ),
inference(split_clause,[status(thm)],[f428,f1454,f1508,f1003,f1512]) ).
fof(f1516,plain,
( ~ sQ27_spl
| ~ sQ39_spl
| ~ sQ41_spl
| sQ135_spl
| ~ sQ127_spl ),
inference(split_clause,[status(thm)],[f429,f1454,f1508,f1003,f996,f957]) ).
fof(f1517,plain,
( ~ sQ135_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f430,f1454,f1508]) ).
fof(f1519,plain,
( sQ39_spl
| ~ sQ136_spl
| ~ sQ41_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f432,f1454,f1003,f1512,f996]) ).
fof(f1520,plain,
( sQ27_spl
| ~ sQ136_spl
| ~ sQ41_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f433,f1454,f1003,f1512,f957]) ).
fof(f1521,definition,
( sQ137_spl
<=> sP31_prd ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f1524,plain,
( sQ137_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f437,f1458,f1521]) ).
fof(f1525,plain,
( ~ sQ42_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f438,f1458,f1006]) ).
fof(f1526,plain,
( sQ42_spl
| ~ sQ137_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f439,f1458,f1521,f1006]) ).
fof(f1528,plain,
( ~ sQ56_spl
| ~ sQ44_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f442,f1467,f1013,f1052]) ).
fof(f1529,plain,
( ~ sQ57_spl
| ~ sQ45_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f443,f1467,f1016,f1055]) ).
fof(f1530,plain,
( sQ45_spl
| sQ44_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f444,f1467,f1013,f1016]) ).
fof(f1531,plain,
( sQ57_spl
| sQ44_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f445,f1467,f1013,f1055]) ).
fof(f1532,plain,
( sQ45_spl
| sQ56_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f446,f1467,f1052,f1016]) ).
fof(f1533,plain,
( sQ57_spl
| sQ56_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f447,f1467,f1052,f1055]) ).
fof(f1534,definition,
( sQ138_spl
<=> sP32_prd ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f1537,plain,
( sQ34_spl
| sQ138_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f451,f1480,f1534,f980]) ).
fof(f1538,plain,
( sQ10_spl
| sQ138_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f452,f1480,f1534,f902]) ).
fof(f1539,plain,
( ~ sQ8_spl
| sQ138_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f453,f1480,f1534,f896]) ).
fof(f1540,plain,
( ~ sQ25_spl
| sQ138_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f454,f1480,f1534,f951]) ).
fof(f1541,plain,
( ~ sQ42_spl
| sQ138_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f455,f1480,f1534,f1006]) ).
fof(f1542,plain,
( ~ sQ59_spl
| sQ138_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f456,f1480,f1534,f1061]) ).
fof(f1543,plain,
( ~ sQ138_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f457,f1480,f1534]) ).
fof(f1544,plain,
( sQ59_spl
| sQ42_spl
| sQ25_spl
| sQ8_spl
| ~ sQ10_spl
| ~ sQ34_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f458,f1480,f980,f902,f896,f951,f1006,f1061]) ).
fof(f1545,definition,
( sQ139_spl
<=> sP33_prd ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f1548,definition,
( sQ140_spl
<=> op(e0,e2) = op(e2,e0) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f1549,plain,
( ~ sQ140_spl
| op(e0,e2) = op(e2,e0) ),
inference(component_clause,[status(thm)],[f1548]) ).
fof(f1550,plain,
( sQ140_spl
| op(e0,e2) != op(e2,e0) ),
inference(component_clause,[status(thm)],[f1548]) ).
fof(f1551,plain,
( sQ140_spl
| sQ139_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f462,f1491,f1545,f1548]) ).
fof(f1552,definition,
( sQ141_spl
<=> op(e0,e0) = op(e2,e0) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f1553,plain,
( ~ sQ141_spl
| op(e0,e0) = op(e2,e0) ),
inference(component_clause,[status(thm)],[f1552]) ).
fof(f1556,definition,
( sQ142_spl
<=> op(e0,op(e2,e0)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f1557,plain,
( ~ sQ142_spl
| op(e0,op(e2,e0)) = e0 ),
inference(component_clause,[status(thm)],[f1556]) ).
fof(f1559,plain,
( sQ142_spl
| sQ139_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f464,f1491,f1545,f1556]) ).
fof(f1560,plain,
( ~ sQ139_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f465,f1491,f1545]) ).
fof(f1561,plain,
( ~ sQ142_spl
| sQ141_spl
| ~ sQ140_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f466,f1491,f1548,f1552,f1556]) ).
fof(f1562,definition,
( sQ143_spl
<=> sP34_prd ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f1565,plain,
( sQ40_spl
| sQ143_spl
| ~ sQ135_spl ),
inference(split_clause,[status(thm)],[f472,f1508,f1562,f1000]) ).
fof(f1566,definition,
( sQ144_spl
<=> sP35_prd ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f1569,plain,
( sQ144_spl
| ~ sQ40_spl
| sQ143_spl
| ~ sQ135_spl ),
inference(split_clause,[status(thm)],[f473,f1508,f1562,f1000,f1566]) ).
fof(f1570,plain,
( ~ sQ11_spl
| ~ sQ35_spl
| ~ sQ40_spl
| sQ143_spl
| ~ sQ135_spl ),
inference(split_clause,[status(thm)],[f474,f1508,f1562,f1000,f983,f905]) ).
fof(f1571,plain,
( ~ sQ143_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f475,f1508,f1562]) ).
fof(f1573,plain,
( sQ35_spl
| ~ sQ144_spl
| ~ sQ40_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f477,f1508,f1000,f1566,f983]) ).
fof(f1574,plain,
( sQ11_spl
| ~ sQ144_spl
| ~ sQ40_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f478,f1508,f1000,f1566,f905]) ).
fof(f1575,definition,
( sQ145_spl
<=> sP36_prd ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f1578,plain,
( sQ145_spl
| ~ sQ136_spl ),
inference(split_clause,[status(thm)],[f482,f1512,f1575]) ).
fof(f1579,plain,
( ~ sQ26_spl
| ~ sQ38_spl
| ~ sQ136_spl ),
inference(split_clause,[status(thm)],[f483,f1512,f993,f954]) ).
fof(f1580,plain,
( sQ38_spl
| ~ sQ145_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f484,f1512,f1575,f993]) ).
fof(f1581,plain,
( sQ26_spl
| ~ sQ145_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f485,f1512,f1575,f954]) ).
fof(f1582,plain,
( ~ sQ40_spl
| ~ sQ137_spl ),
inference(split_clause,[status(thm)],[f487,f1521,f1000]) ).
fof(f1583,plain,
( ~ sQ41_spl
| ~ sQ137_spl ),
inference(split_clause,[status(thm)],[f488,f1521,f1003]) ).
fof(f1584,plain,
( sQ41_spl
| sQ40_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f489,f1521,f1000,f1003]) ).
fof(f1588,definition,
( sQ146_spl
<=> sP37_prd ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f1591,plain,
( sQ29_spl
| sQ146_spl
| ~ sQ138_spl ),
inference(split_clause,[status(thm)],[f496,f1534,f1588,f964]) ).
fof(f1592,plain,
( sQ53_spl
| sQ146_spl
| ~ sQ138_spl ),
inference(split_clause,[status(thm)],[f497,f1534,f1588,f1042]) ).
fof(f1593,plain,
( ~ sQ4_spl
| sQ146_spl
| ~ sQ138_spl ),
inference(split_clause,[status(thm)],[f498,f1534,f1588,f883]) ).
fof(f1594,plain,
( ~ sQ21_spl
| sQ146_spl
| ~ sQ138_spl ),
inference(split_clause,[status(thm)],[f499,f1534,f1588,f938]) ).
fof(f1595,plain,
( ~ sQ38_spl
| sQ146_spl
| ~ sQ138_spl ),
inference(split_clause,[status(thm)],[f500,f1534,f1588,f993]) ).
fof(f1596,plain,
( ~ sQ55_spl
| sQ146_spl
| ~ sQ138_spl ),
inference(split_clause,[status(thm)],[f501,f1534,f1588,f1048]) ).
fof(f1597,plain,
( ~ sQ146_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f502,f1534,f1588]) ).
fof(f1598,plain,
( sQ55_spl
| sQ38_spl
| sQ21_spl
| sQ4_spl
| ~ sQ53_spl
| ~ sQ29_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f503,f1534,f964,f1042,f883,f938,f993,f1048]) ).
fof(f1599,definition,
( sQ147_spl
<=> sP38_prd ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f1602,plain,
( sQ102_spl
| sQ147_spl
| ~ sQ139_spl ),
inference(split_clause,[status(thm)],[f507,f1545,f1599,f1290]) ).
fof(f1603,definition,
( sQ148_spl
<=> op(e3,e3) = op(e1,e3) ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f1604,plain,
( ~ sQ148_spl
| op(e3,e3) = op(e1,e3) ),
inference(component_clause,[status(thm)],[f1603]) ).
fof(f1607,definition,
( sQ149_spl
<=> op(e3,op(e1,e3)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f1608,plain,
( ~ sQ149_spl
| op(e3,op(e1,e3)) = e3 ),
inference(component_clause,[status(thm)],[f1607]) ).
fof(f1609,plain,
( sQ149_spl
| op(e3,op(e1,e3)) != e3 ),
inference(component_clause,[status(thm)],[f1607]) ).
fof(f1610,plain,
( sQ149_spl
| sQ147_spl
| ~ sQ139_spl ),
inference(split_clause,[status(thm)],[f509,f1545,f1599,f1607]) ).
fof(f1611,plain,
( ~ sQ147_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f510,f1545,f1599]) ).
fof(f1612,plain,
( ~ sQ149_spl
| sQ148_spl
| ~ sQ102_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f511,f1545,f1290,f1603,f1607]) ).
fof(f1613,definition,
( sQ150_spl
<=> sP39_prd ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f1616,plain,
( sQ23_spl
| sQ150_spl
| ~ sQ143_spl ),
inference(split_clause,[status(thm)],[f517,f1562,f1613,f944]) ).
fof(f1617,definition,
( sQ151_spl
<=> sP40_prd ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f1620,plain,
( sQ151_spl
| ~ sQ23_spl
| sQ150_spl
| ~ sQ143_spl ),
inference(split_clause,[status(thm)],[f518,f1562,f1613,f944,f1617]) ).
fof(f1622,plain,
( ~ sQ150_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f520,f1562,f1613]) ).
fof(f1624,plain,
( sQ31_spl
| ~ sQ151_spl
| ~ sQ23_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f522,f1562,f944,f1617,f970]) ).
fof(f1625,plain,
( sQ55_spl
| ~ sQ151_spl
| ~ sQ23_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f523,f1562,f944,f1617,f1048]) ).
fof(f1626,definition,
( sQ152_spl
<=> sP41_prd ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f1629,plain,
( sQ152_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f527,f1566,f1626]) ).
fof(f1630,plain,
( ~ sQ10_spl
| ~ sQ34_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f528,f1566,f980,f902]) ).
fof(f1631,plain,
( sQ34_spl
| ~ sQ152_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f529,f1566,f1626,f980]) ).
fof(f1632,plain,
( sQ10_spl
| ~ sQ152_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f530,f1566,f1626,f902]) ).
fof(f1633,plain,
( ~ sQ24_spl
| ~ sQ36_spl
| ~ sQ145_spl ),
inference(split_clause,[status(thm)],[f532,f1575,f987,f948]) ).
fof(f1634,plain,
( ~ sQ25_spl
| ~ sQ37_spl
| ~ sQ145_spl ),
inference(split_clause,[status(thm)],[f533,f1575,f990,f951]) ).
fof(f1635,plain,
( sQ37_spl
| sQ36_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f534,f1575,f987,f990]) ).
fof(f1636,plain,
( sQ25_spl
| sQ36_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f535,f1575,f987,f951]) ).
fof(f1637,plain,
( sQ37_spl
| sQ24_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f536,f1575,f948,f990]) ).
fof(f1638,plain,
( sQ25_spl
| sQ24_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f537,f1575,f948,f951]) ).
fof(f1639,definition,
( sQ153_spl
<=> sP42_prd ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f1642,plain,
( sQ25_spl
| sQ153_spl
| ~ sQ146_spl ),
inference(split_clause,[status(thm)],[f541,f1588,f1639,f951]) ).
fof(f1643,plain,
( sQ37_spl
| sQ153_spl
| ~ sQ146_spl ),
inference(split_clause,[status(thm)],[f542,f1588,f1639,f990]) ).
fof(f1644,plain,
( ~ sQ4_spl
| sQ153_spl
| ~ sQ146_spl ),
inference(split_clause,[status(thm)],[f543,f1588,f1639,f883]) ).
fof(f1645,plain,
( ~ sQ21_spl
| sQ153_spl
| ~ sQ146_spl ),
inference(split_clause,[status(thm)],[f544,f1588,f1639,f938]) ).
fof(f1646,plain,
( ~ sQ38_spl
| sQ153_spl
| ~ sQ146_spl ),
inference(split_clause,[status(thm)],[f545,f1588,f1639,f993]) ).
fof(f1647,plain,
( ~ sQ55_spl
| sQ153_spl
| ~ sQ146_spl ),
inference(split_clause,[status(thm)],[f546,f1588,f1639,f1048]) ).
fof(f1648,plain,
( ~ sQ153_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f547,f1588,f1639]) ).
fof(f1649,plain,
( sQ55_spl
| sQ38_spl
| sQ21_spl
| sQ4_spl
| ~ sQ37_spl
| ~ sQ25_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f548,f1588,f951,f990,f883,f938,f993,f1048]) ).
fof(f1650,definition,
( sQ154_spl
<=> sP43_prd ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f1653,plain,
( sQ132_spl
| sQ154_spl
| ~ sQ147_spl ),
inference(split_clause,[status(thm)],[f552,f1599,f1650,f1494]) ).
fof(f1654,definition,
( sQ155_spl
<=> op(e2,e2) = op(e1,e2) ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f1655,plain,
( ~ sQ155_spl
| op(e2,e2) = op(e1,e2) ),
inference(component_clause,[status(thm)],[f1654]) ).
fof(f1658,definition,
( sQ156_spl
<=> op(e2,op(e1,e2)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f1659,plain,
( ~ sQ156_spl
| op(e2,op(e1,e2)) = e2 ),
inference(component_clause,[status(thm)],[f1658]) ).
fof(f1661,plain,
( sQ156_spl
| sQ154_spl
| ~ sQ147_spl ),
inference(split_clause,[status(thm)],[f554,f1599,f1650,f1658]) ).
fof(f1662,plain,
( ~ sQ154_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f555,f1599,f1650]) ).
fof(f1663,plain,
( ~ sQ156_spl
| sQ155_spl
| ~ sQ132_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f556,f1599,f1494,f1654,f1658]) ).
fof(f1664,definition,
( sQ157_spl
<=> sP44_prd ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f1667,plain,
( sQ22_spl
| sQ157_spl
| ~ sQ150_spl ),
inference(split_clause,[status(thm)],[f562,f1613,f1664,f941]) ).
fof(f1668,definition,
( sQ158_spl
<=> sP45_prd ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f1671,plain,
( sQ158_spl
| ~ sQ22_spl
| sQ157_spl
| ~ sQ150_spl ),
inference(split_clause,[status(thm)],[f563,f1613,f1664,f941,f1668]) ).
fof(f1672,plain,
( ~ sQ39_spl
| ~ sQ27_spl
| ~ sQ22_spl
| sQ157_spl
| ~ sQ150_spl ),
inference(split_clause,[status(thm)],[f564,f1613,f1664,f941,f957,f996]) ).
fof(f1673,plain,
( ~ sQ157_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f565,f1613,f1664]) ).
fof(f1675,plain,
( sQ27_spl
| ~ sQ158_spl
| ~ sQ22_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f567,f1613,f941,f1668,f957]) ).
fof(f1677,definition,
( sQ159_spl
<=> sP46_prd ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f1680,plain,
( sQ159_spl
| ~ sQ151_spl ),
inference(split_clause,[status(thm)],[f572,f1617,f1677]) ).
fof(f1681,plain,
( ~ sQ54_spl
| ~ sQ30_spl
| ~ sQ151_spl ),
inference(split_clause,[status(thm)],[f573,f1617,f967,f1045]) ).
fof(f1682,plain,
( sQ30_spl
| ~ sQ159_spl
| sQ151_spl ),
inference(split_clause,[status(thm)],[f574,f1617,f1677,f967]) ).
fof(f1683,plain,
( sQ54_spl
| ~ sQ159_spl
| sQ151_spl ),
inference(split_clause,[status(thm)],[f575,f1617,f1677,f1045]) ).
fof(f1684,plain,
( ~ sQ8_spl
| ~ sQ32_spl
| ~ sQ152_spl ),
inference(split_clause,[status(thm)],[f577,f1626,f974,f896]) ).
fof(f1685,plain,
( ~ sQ9_spl
| ~ sQ33_spl
| ~ sQ152_spl ),
inference(split_clause,[status(thm)],[f578,f1626,f977,f899]) ).
fof(f1686,plain,
( sQ33_spl
| sQ32_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f579,f1626,f974,f977]) ).
fof(f1687,plain,
( sQ9_spl
| sQ32_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f580,f1626,f974,f899]) ).
fof(f1688,plain,
( sQ33_spl
| sQ8_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f581,f1626,f896,f977]) ).
fof(f1689,plain,
( sQ9_spl
| sQ8_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f582,f1626,f896,f899]) ).
fof(f1690,definition,
( sQ160_spl
<=> sP47_prd ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f1693,plain,
( sQ21_spl
| sQ160_spl
| ~ sQ153_spl ),
inference(split_clause,[status(thm)],[f586,f1639,f1690,f938]) ).
fof(f1695,plain,
( ~ sQ4_spl
| sQ160_spl
| ~ sQ153_spl ),
inference(split_clause,[status(thm)],[f588,f1639,f1690,f883]) ).
fof(f1696,plain,
( ~ sQ21_spl
| sQ160_spl
| ~ sQ153_spl ),
inference(split_clause,[status(thm)],[f589,f1639,f1690,f938]) ).
fof(f1697,plain,
( ~ sQ38_spl
| sQ160_spl
| ~ sQ153_spl ),
inference(split_clause,[status(thm)],[f590,f1639,f1690,f993]) ).
fof(f1698,plain,
( ~ sQ55_spl
| sQ160_spl
| ~ sQ153_spl ),
inference(split_clause,[status(thm)],[f591,f1639,f1690,f1048]) ).
fof(f1699,plain,
( ~ sQ160_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f592,f1639,f1690]) ).
fof(f1701,definition,
( sQ161_spl
<=> sP48_prd ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f1704,definition,
( sQ162_spl
<=> op(e1,e1) = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f1707,plain,
( sQ162_spl
| sQ161_spl
| ~ sQ154_spl ),
inference(split_clause,[status(thm)],[f597,f1650,f1701,f1704]) ).
fof(f1708,plain,
( ~ sQ162_spl
| sQ161_spl
| ~ sQ154_spl ),
inference(split_clause,[status(thm)],[f598,f1650,f1701,f1704]) ).
fof(f1709,definition,
( sQ163_spl
<=> op(e1,op(e1,e1)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f1710,plain,
( ~ sQ163_spl
| op(e1,op(e1,e1)) = e1 ),
inference(component_clause,[status(thm)],[f1709]) ).
fof(f1711,plain,
( sQ163_spl
| op(e1,op(e1,e1)) != e1 ),
inference(component_clause,[status(thm)],[f1709]) ).
fof(f1712,plain,
( sQ163_spl
| sQ161_spl
| ~ sQ154_spl ),
inference(split_clause,[status(thm)],[f599,f1650,f1701,f1709]) ).
fof(f1713,plain,
( ~ sQ161_spl
| sQ154_spl ),
inference(split_clause,[status(thm)],[f600,f1650,f1701]) ).
fof(f1715,definition,
( sQ164_spl
<=> sP49_prd ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f1718,plain,
( sQ21_spl
| sQ164_spl
| ~ sQ157_spl ),
inference(split_clause,[status(thm)],[f607,f1664,f1715,f938]) ).
fof(f1719,definition,
( sQ165_spl
<=> sP50_prd ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f1722,plain,
( sQ165_spl
| ~ sQ21_spl
| sQ164_spl
| ~ sQ157_spl ),
inference(split_clause,[status(thm)],[f608,f1664,f1715,f938,f1719]) ).
fof(f1724,plain,
( ~ sQ164_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f610,f1664,f1715]) ).
fof(f1728,definition,
( sQ166_spl
<=> sP51_prd ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f1731,plain,
( sQ166_spl
| ~ sQ158_spl ),
inference(split_clause,[status(thm)],[f617,f1668,f1728]) ).
fof(f1732,plain,
( ~ sQ38_spl
| ~ sQ26_spl
| ~ sQ158_spl ),
inference(split_clause,[status(thm)],[f618,f1668,f954,f993]) ).
fof(f1733,plain,
( sQ26_spl
| ~ sQ166_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f619,f1668,f1728,f954]) ).
fof(f1734,plain,
( sQ38_spl
| ~ sQ166_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f620,f1668,f1728,f993]) ).
fof(f1735,plain,
( ~ sQ52_spl
| ~ sQ28_spl
| ~ sQ159_spl ),
inference(split_clause,[status(thm)],[f622,f1677,f961,f1039]) ).
fof(f1736,plain,
( ~ sQ53_spl
| ~ sQ29_spl
| ~ sQ159_spl ),
inference(split_clause,[status(thm)],[f623,f1677,f964,f1042]) ).
fof(f1737,plain,
( sQ29_spl
| sQ28_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f624,f1677,f961,f964]) ).
fof(f1738,plain,
( sQ53_spl
| sQ28_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f625,f1677,f961,f1042]) ).
fof(f1739,plain,
( sQ29_spl
| sQ52_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f626,f1677,f1039,f964]) ).
fof(f1740,plain,
( sQ53_spl
| sQ52_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f627,f1677,f1039,f1042]) ).
fof(f1741,definition,
( sQ167_spl
<=> sP52_prd ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f1744,plain,
( sQ17_spl
| sQ167_spl
| ~ sQ160_spl ),
inference(split_clause,[status(thm)],[f631,f1690,f1741,f925]) ).
fof(f1745,plain,
( sQ5_spl
| sQ167_spl
| ~ sQ160_spl ),
inference(split_clause,[status(thm)],[f632,f1690,f1741,f886]) ).
fof(f1746,plain,
( ~ sQ4_spl
| sQ167_spl
| ~ sQ160_spl ),
inference(split_clause,[status(thm)],[f633,f1690,f1741,f883]) ).
fof(f1747,plain,
( ~ sQ21_spl
| sQ167_spl
| ~ sQ160_spl ),
inference(split_clause,[status(thm)],[f634,f1690,f1741,f938]) ).
fof(f1748,plain,
( ~ sQ38_spl
| sQ167_spl
| ~ sQ160_spl ),
inference(split_clause,[status(thm)],[f635,f1690,f1741,f993]) ).
fof(f1749,plain,
( ~ sQ55_spl
| sQ167_spl
| ~ sQ160_spl ),
inference(split_clause,[status(thm)],[f636,f1690,f1741,f1048]) ).
fof(f1750,plain,
( ~ sQ167_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f637,f1690,f1741]) ).
fof(f1751,plain,
( sQ55_spl
| sQ38_spl
| sQ21_spl
| sQ4_spl
| ~ sQ5_spl
| ~ sQ17_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f638,f1690,f925,f886,f883,f938,f993,f1048]) ).
fof(f1752,definition,
( sQ168_spl
<=> sP53_prd ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f1755,definition,
( sQ169_spl
<=> op(e0,e1) = op(e1,e0) ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f1756,plain,
( ~ sQ169_spl
| op(e0,e1) = op(e1,e0) ),
inference(component_clause,[status(thm)],[f1755]) ).
fof(f1757,plain,
( sQ169_spl
| op(e0,e1) != op(e1,e0) ),
inference(component_clause,[status(thm)],[f1755]) ).
fof(f1758,plain,
( sQ169_spl
| sQ168_spl
| ~ sQ161_spl ),
inference(split_clause,[status(thm)],[f642,f1701,f1752,f1755]) ).
fof(f1759,definition,
( sQ170_spl
<=> op(e0,e0) = op(e1,e0) ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f1760,plain,
( ~ sQ170_spl
| op(e0,e0) = op(e1,e0) ),
inference(component_clause,[status(thm)],[f1759]) ).
fof(f1763,definition,
( sQ171_spl
<=> op(e0,op(e1,e0)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f1764,plain,
( ~ sQ171_spl
| op(e0,op(e1,e0)) = e0 ),
inference(component_clause,[status(thm)],[f1763]) ).
fof(f1766,plain,
( sQ171_spl
| sQ168_spl
| ~ sQ161_spl ),
inference(split_clause,[status(thm)],[f644,f1701,f1752,f1763]) ).
fof(f1767,plain,
( ~ sQ168_spl
| sQ161_spl ),
inference(split_clause,[status(thm)],[f645,f1701,f1752]) ).
fof(f1768,plain,
( ~ sQ171_spl
| sQ170_spl
| ~ sQ169_spl
| sQ161_spl ),
inference(split_clause,[status(thm)],[f646,f1701,f1755,f1759,f1763]) ).
fof(f1769,definition,
( sQ172_spl
<=> sP54_prd ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f1772,plain,
( sQ20_spl
| sQ172_spl
| ~ sQ164_spl ),
inference(split_clause,[status(thm)],[f652,f1715,f1769,f935]) ).
fof(f1773,definition,
( sQ173_spl
<=> sP55_prd ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f1776,plain,
( sQ173_spl
| ~ sQ20_spl
| sQ172_spl
| ~ sQ164_spl ),
inference(split_clause,[status(thm)],[f653,f1715,f1769,f935,f1773]) ).
fof(f1777,plain,
( ~ sQ7_spl
| ~ sQ19_spl
| ~ sQ20_spl
| sQ172_spl
| ~ sQ164_spl ),
inference(split_clause,[status(thm)],[f654,f1715,f1769,f935,f931,f892]) ).
fof(f1778,plain,
( ~ sQ172_spl
| sQ164_spl ),
inference(split_clause,[status(thm)],[f655,f1715,f1769]) ).
fof(f1780,plain,
( sQ19_spl
| ~ sQ173_spl
| ~ sQ20_spl
| sQ164_spl ),
inference(split_clause,[status(thm)],[f657,f1715,f935,f1773,f931]) ).
fof(f1781,plain,
( sQ7_spl
| ~ sQ173_spl
| ~ sQ20_spl
| sQ164_spl ),
inference(split_clause,[status(thm)],[f658,f1715,f935,f1773,f892]) ).
fof(f1782,definition,
( sQ174_spl
<=> sP56_prd ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f1785,plain,
( sQ174_spl
| ~ sQ165_spl ),
inference(split_clause,[status(thm)],[f662,f1719,f1782]) ).
fof(f1786,plain,
( ~ sQ22_spl
| ~ sQ165_spl ),
inference(split_clause,[status(thm)],[f663,f1719,f941]) ).
fof(f1787,plain,
( sQ22_spl
| ~ sQ174_spl
| sQ165_spl ),
inference(split_clause,[status(thm)],[f664,f1719,f1782,f941]) ).
fof(f1789,plain,
( ~ sQ36_spl
| ~ sQ24_spl
| ~ sQ166_spl ),
inference(split_clause,[status(thm)],[f667,f1728,f948,f987]) ).
fof(f1790,plain,
( ~ sQ37_spl
| ~ sQ25_spl
| ~ sQ166_spl ),
inference(split_clause,[status(thm)],[f668,f1728,f951,f990]) ).
fof(f1791,plain,
( sQ25_spl
| sQ24_spl
| sQ166_spl ),
inference(split_clause,[status(thm)],[f669,f1728,f948,f951]) ).
fof(f1792,plain,
( sQ37_spl
| sQ24_spl
| sQ166_spl ),
inference(split_clause,[status(thm)],[f670,f1728,f948,f990]) ).
fof(f1793,plain,
( sQ25_spl
| sQ36_spl
| sQ166_spl ),
inference(split_clause,[status(thm)],[f671,f1728,f987,f951]) ).
fof(f1794,plain,
( sQ37_spl
| sQ36_spl
| sQ166_spl ),
inference(split_clause,[status(thm)],[f672,f1728,f987,f990]) ).
fof(f1795,definition,
( sQ175_spl
<=> sP57_prd ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f1798,plain,
( sQ12_spl
| sQ175_spl
| ~ sQ167_spl ),
inference(split_clause,[status(thm)],[f676,f1741,f1795,f909]) ).
fof(f1799,plain,
( sQ48_spl
| sQ175_spl
| ~ sQ167_spl ),
inference(split_clause,[status(thm)],[f677,f1741,f1795,f1026]) ).
fof(f1800,plain,
( ~ sQ0_spl
| sQ175_spl
| ~ sQ167_spl ),
inference(split_clause,[status(thm)],[f678,f1741,f1795,f870]) ).
fof(f1801,plain,
( ~ sQ17_spl
| sQ175_spl
| ~ sQ167_spl ),
inference(split_clause,[status(thm)],[f679,f1741,f1795,f925]) ).
fof(f1802,plain,
( ~ sQ34_spl
| sQ175_spl
| ~ sQ167_spl ),
inference(split_clause,[status(thm)],[f680,f1741,f1795,f980]) ).
fof(f1803,plain,
( ~ sQ51_spl
| sQ175_spl
| ~ sQ167_spl ),
inference(split_clause,[status(thm)],[f681,f1741,f1795,f1035]) ).
fof(f1804,plain,
( ~ sQ175_spl
| sQ167_spl ),
inference(split_clause,[status(thm)],[f682,f1741,f1795]) ).
fof(f1805,plain,
( sQ51_spl
| sQ34_spl
| sQ17_spl
| sQ0_spl
| ~ sQ48_spl
| ~ sQ12_spl
| sQ167_spl ),
inference(split_clause,[status(thm)],[f683,f1741,f909,f1026,f870,f925,f980,f1035]) ).
fof(f1806,definition,
( sQ176_spl
<=> sP58_prd ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f1809,plain,
( sQ110_spl
| sQ176_spl
| ~ sQ168_spl ),
inference(split_clause,[status(thm)],[f687,f1752,f1806,f1338]) ).
fof(f1810,definition,
( sQ177_spl
<=> op(e3,e3) = op(e0,e3) ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f1811,plain,
( ~ sQ177_spl
| op(e3,e3) = op(e0,e3) ),
inference(component_clause,[status(thm)],[f1810]) ).
fof(f1814,definition,
( sQ178_spl
<=> op(e3,op(e0,e3)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f1815,plain,
( ~ sQ178_spl
| op(e3,op(e0,e3)) = e3 ),
inference(component_clause,[status(thm)],[f1814]) ).
fof(f1816,plain,
( sQ178_spl
| op(e3,op(e0,e3)) != e3 ),
inference(component_clause,[status(thm)],[f1814]) ).
fof(f1817,plain,
( sQ178_spl
| sQ176_spl
| ~ sQ168_spl ),
inference(split_clause,[status(thm)],[f689,f1752,f1806,f1814]) ).
fof(f1818,plain,
( ~ sQ176_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f690,f1752,f1806]) ).
fof(f1819,plain,
( ~ sQ178_spl
| sQ177_spl
| ~ sQ110_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f691,f1752,f1338,f1810,f1814]) ).
fof(f1820,definition,
( sQ179_spl
<=> sP59_prd ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f1823,plain,
( sQ3_spl
| sQ179_spl
| ~ sQ172_spl ),
inference(split_clause,[status(thm)],[f697,f1769,f1820,f879]) ).
fof(f1824,definition,
( sQ180_spl
<=> sP60_prd ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f1827,plain,
( sQ180_spl
| ~ sQ3_spl
| sQ179_spl
| ~ sQ172_spl ),
inference(split_clause,[status(thm)],[f698,f1769,f1820,f879,f1824]) ).
fof(f1829,plain,
( ~ sQ179_spl
| sQ172_spl ),
inference(split_clause,[status(thm)],[f700,f1769,f1820]) ).
fof(f1831,plain,
( sQ15_spl
| ~ sQ180_spl
| ~ sQ3_spl
| sQ172_spl ),
inference(split_clause,[status(thm)],[f702,f1769,f879,f1824,f918]) ).
fof(f1832,plain,
( sQ51_spl
| ~ sQ180_spl
| ~ sQ3_spl
| sQ172_spl ),
inference(split_clause,[status(thm)],[f703,f1769,f879,f1824,f1035]) ).
fof(f1833,definition,
( sQ181_spl
<=> sP61_prd ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f1836,plain,
( sQ181_spl
| ~ sQ173_spl ),
inference(split_clause,[status(thm)],[f707,f1773,f1833]) ).
fof(f1837,plain,
( ~ sQ6_spl
| ~ sQ18_spl
| ~ sQ173_spl ),
inference(split_clause,[status(thm)],[f708,f1773,f928,f889]) ).
fof(f1838,plain,
( sQ18_spl
| ~ sQ181_spl
| sQ173_spl ),
inference(split_clause,[status(thm)],[f709,f1773,f1833,f928]) ).
fof(f1839,plain,
( sQ6_spl
| ~ sQ181_spl
| sQ173_spl ),
inference(split_clause,[status(thm)],[f710,f1773,f1833,f889]) ).
fof(f1840,plain,
( ~ sQ20_spl
| ~ sQ174_spl ),
inference(split_clause,[status(thm)],[f712,f1782,f935]) ).
fof(f1841,plain,
( ~ sQ21_spl
| ~ sQ174_spl ),
inference(split_clause,[status(thm)],[f713,f1782,f938]) ).
fof(f1842,plain,
( sQ21_spl
| sQ20_spl
| sQ174_spl ),
inference(split_clause,[status(thm)],[f714,f1782,f935,f938]) ).
fof(f1846,definition,
( sQ182_spl
<=> sP62_prd ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f1849,plain,
( sQ8_spl
| sQ182_spl
| ~ sQ175_spl ),
inference(split_clause,[status(thm)],[f721,f1795,f1846,f896]) ).
fof(f1850,plain,
( sQ32_spl
| sQ182_spl
| ~ sQ175_spl ),
inference(split_clause,[status(thm)],[f722,f1795,f1846,f974]) ).
fof(f1851,plain,
( ~ sQ0_spl
| sQ182_spl
| ~ sQ175_spl ),
inference(split_clause,[status(thm)],[f723,f1795,f1846,f870]) ).
fof(f1852,plain,
( ~ sQ17_spl
| sQ182_spl
| ~ sQ175_spl ),
inference(split_clause,[status(thm)],[f724,f1795,f1846,f925]) ).
fof(f1853,plain,
( ~ sQ34_spl
| sQ182_spl
| ~ sQ175_spl ),
inference(split_clause,[status(thm)],[f725,f1795,f1846,f980]) ).
fof(f1854,plain,
( ~ sQ51_spl
| sQ182_spl
| ~ sQ175_spl ),
inference(split_clause,[status(thm)],[f726,f1795,f1846,f1035]) ).
fof(f1855,plain,
( ~ sQ182_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f727,f1795,f1846]) ).
fof(f1856,plain,
( sQ51_spl
| sQ34_spl
| sQ17_spl
| sQ0_spl
| ~ sQ32_spl
| ~ sQ8_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f728,f1795,f896,f974,f870,f925,f980,f1035]) ).
fof(f1857,definition,
( sQ183_spl
<=> sP63_prd ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f1860,plain,
( sQ140_spl
| sQ183_spl
| ~ sQ176_spl ),
inference(split_clause,[status(thm)],[f732,f1806,f1857,f1548]) ).
fof(f1861,definition,
( sQ184_spl
<=> op(e2,e2) = op(e0,e2) ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f1862,plain,
( ~ sQ184_spl
| op(e2,e2) = op(e0,e2) ),
inference(component_clause,[status(thm)],[f1861]) ).
fof(f1865,definition,
( sQ185_spl
<=> op(e2,op(e0,e2)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f1866,plain,
( ~ sQ185_spl
| op(e2,op(e0,e2)) = e2 ),
inference(component_clause,[status(thm)],[f1865]) ).
fof(f1868,plain,
( sQ185_spl
| sQ183_spl
| ~ sQ176_spl ),
inference(split_clause,[status(thm)],[f734,f1806,f1857,f1865]) ).
fof(f1869,plain,
( ~ sQ183_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f735,f1806,f1857]) ).
fof(f1870,plain,
( ~ sQ185_spl
| sQ184_spl
| ~ sQ140_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f736,f1806,f1548,f1861,f1865]) ).
fof(f1871,definition,
( sQ186_spl
<=> sP64_prd ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f1874,plain,
( sQ2_spl
| sQ186_spl
| ~ sQ179_spl ),
inference(split_clause,[status(thm)],[f742,f1820,f1871,f876]) ).
fof(f1875,definition,
( sQ187_spl
<=> sP65_prd ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f1878,plain,
( sQ187_spl
| ~ sQ2_spl
| sQ186_spl
| ~ sQ179_spl ),
inference(split_clause,[status(thm)],[f743,f1820,f1871,f876,f1875]) ).
fof(f1879,plain,
( ~ sQ35_spl
| ~ sQ11_spl
| ~ sQ2_spl
| sQ186_spl
| ~ sQ179_spl ),
inference(split_clause,[status(thm)],[f744,f1820,f1871,f876,f905,f983]) ).
fof(f1880,plain,
( ~ sQ186_spl
| sQ179_spl ),
inference(split_clause,[status(thm)],[f745,f1820,f1871]) ).
fof(f1882,plain,
( sQ11_spl
| ~ sQ187_spl
| ~ sQ2_spl
| sQ179_spl ),
inference(split_clause,[status(thm)],[f747,f1820,f876,f1875,f905]) ).
fof(f1883,plain,
( sQ35_spl
| ~ sQ187_spl
| ~ sQ2_spl
| sQ179_spl ),
inference(split_clause,[status(thm)],[f748,f1820,f876,f1875,f983]) ).
fof(f1884,definition,
( sQ188_spl
<=> sP66_prd ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f1887,plain,
( sQ188_spl
| ~ sQ180_spl ),
inference(split_clause,[status(thm)],[f752,f1824,f1884]) ).
fof(f1888,plain,
( ~ sQ50_spl
| ~ sQ14_spl
| ~ sQ180_spl ),
inference(split_clause,[status(thm)],[f753,f1824,f915,f1032]) ).
fof(f1889,plain,
( sQ14_spl
| ~ sQ188_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f754,f1824,f1884,f915]) ).
fof(f1890,plain,
( sQ50_spl
| ~ sQ188_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f755,f1824,f1884,f1032]) ).
fof(f1891,plain,
( ~ sQ4_spl
| ~ sQ16_spl
| ~ sQ181_spl ),
inference(split_clause,[status(thm)],[f757,f1833,f922,f883]) ).
fof(f1892,plain,
( ~ sQ5_spl
| ~ sQ17_spl
| ~ sQ181_spl ),
inference(split_clause,[status(thm)],[f758,f1833,f925,f886]) ).
fof(f1893,plain,
( sQ17_spl
| sQ16_spl
| sQ181_spl ),
inference(split_clause,[status(thm)],[f759,f1833,f922,f925]) ).
fof(f1894,plain,
( sQ5_spl
| sQ16_spl
| sQ181_spl ),
inference(split_clause,[status(thm)],[f760,f1833,f922,f886]) ).
fof(f1895,plain,
( sQ17_spl
| sQ4_spl
| sQ181_spl ),
inference(split_clause,[status(thm)],[f761,f1833,f883,f925]) ).
fof(f1896,plain,
( sQ5_spl
| sQ4_spl
| sQ181_spl ),
inference(split_clause,[status(thm)],[f762,f1833,f883,f886]) ).
fof(f1897,definition,
( sQ189_spl
<=> sP67_prd ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f1900,plain,
( sQ4_spl
| sQ189_spl
| ~ sQ182_spl ),
inference(split_clause,[status(thm)],[f766,f1846,f1897,f883]) ).
fof(f1901,plain,
( sQ16_spl
| sQ189_spl
| ~ sQ182_spl ),
inference(split_clause,[status(thm)],[f767,f1846,f1897,f922]) ).
fof(f1903,plain,
( ~ sQ17_spl
| sQ189_spl
| ~ sQ182_spl ),
inference(split_clause,[status(thm)],[f769,f1846,f1897,f925]) ).
fof(f1904,plain,
( ~ sQ34_spl
| sQ189_spl
| ~ sQ182_spl ),
inference(split_clause,[status(thm)],[f770,f1846,f1897,f980]) ).
fof(f1905,plain,
( ~ sQ51_spl
| sQ189_spl
| ~ sQ182_spl ),
inference(split_clause,[status(thm)],[f771,f1846,f1897,f1035]) ).
fof(f1906,plain,
( ~ sQ189_spl
| sQ182_spl ),
inference(split_clause,[status(thm)],[f772,f1846,f1897]) ).
fof(f1907,plain,
( sQ51_spl
| sQ34_spl
| sQ17_spl
| sQ0_spl
| ~ sQ16_spl
| ~ sQ4_spl
| sQ182_spl ),
inference(split_clause,[status(thm)],[f773,f1846,f883,f922,f870,f925,f980,f1035]) ).
fof(f1908,definition,
( sQ190_spl
<=> sP68_prd ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f1911,plain,
( sQ169_spl
| sQ190_spl
| ~ sQ183_spl ),
inference(split_clause,[status(thm)],[f777,f1857,f1908,f1755]) ).
fof(f1912,definition,
( sQ191_spl
<=> op(e1,e1) = op(e0,e1) ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f1913,plain,
( ~ sQ191_spl
| op(e1,e1) = op(e0,e1) ),
inference(component_clause,[status(thm)],[f1912]) ).
fof(f1916,definition,
( sQ192_spl
<=> op(e1,op(e0,e1)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f1917,plain,
( ~ sQ192_spl
| op(e1,op(e0,e1)) = e1 ),
inference(component_clause,[status(thm)],[f1916]) ).
fof(f1919,plain,
( sQ192_spl
| sQ190_spl
| ~ sQ183_spl ),
inference(split_clause,[status(thm)],[f779,f1857,f1908,f1916]) ).
fof(f1920,plain,
( ~ sQ190_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f780,f1857,f1908]) ).
fof(f1921,plain,
( ~ sQ192_spl
| sQ191_spl
| ~ sQ169_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f781,f1857,f1755,f1912,f1916]) ).
fof(f1922,plain,
( sQ1_spl
| sQ0_spl
| ~ sQ186_spl ),
inference(split_clause,[status(thm)],[f786,f1871,f870,f873]) ).
fof(f1923,definition,
( sQ193_spl
<=> sP70_prd ),
introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).
fof(f1926,plain,
( sQ193_spl
| ~ sQ1_spl
| sQ0_spl
| ~ sQ186_spl ),
inference(split_clause,[status(thm)],[f787,f1871,f870,f873,f1923]) ).
fof(f1927,definition,
( sQ194_spl
<=> sP69_prd ),
introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).
fof(f1930,plain,
( sQ1_spl
| sQ194_spl
| ~ sQ0_spl
| ~ sQ186_spl ),
inference(split_clause,[status(thm)],[f788,f1871,f870,f1927,f873]) ).
fof(f1931,plain,
( sQ193_spl
| ~ sQ1_spl
| sQ194_spl
| ~ sQ0_spl
| ~ sQ186_spl ),
inference(split_clause,[status(thm)],[f789,f1871,f870,f1927,f873,f1923]) ).
fof(f1933,plain,
( ~ sQ194_spl
| ~ sQ0_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f791,f1871,f870,f1927]) ).
fof(f1935,plain,
( ~ sQ193_spl
| ~ sQ1_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f793,f1871,f873,f1923]) ).
fof(f1936,definition,
( sQ195_spl
<=> sP71_prd ),
introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).
fof(f1939,plain,
( sQ195_spl
| ~ sQ187_spl ),
inference(split_clause,[status(thm)],[f797,f1875,f1936]) ).
fof(f1940,plain,
( ~ sQ34_spl
| ~ sQ10_spl
| ~ sQ187_spl ),
inference(split_clause,[status(thm)],[f798,f1875,f902,f980]) ).
fof(f1941,plain,
( sQ10_spl
| ~ sQ195_spl
| sQ187_spl ),
inference(split_clause,[status(thm)],[f799,f1875,f1936,f902]) ).
fof(f1942,plain,
( sQ34_spl
| ~ sQ195_spl
| sQ187_spl ),
inference(split_clause,[status(thm)],[f800,f1875,f1936,f980]) ).
fof(f1943,plain,
( ~ sQ48_spl
| ~ sQ12_spl
| ~ sQ188_spl ),
inference(split_clause,[status(thm)],[f802,f1884,f909,f1026]) ).
fof(f1944,plain,
( ~ sQ49_spl
| ~ sQ13_spl
| ~ sQ188_spl ),
inference(split_clause,[status(thm)],[f803,f1884,f912,f1029]) ).
fof(f1945,plain,
( sQ13_spl
| sQ12_spl
| sQ188_spl ),
inference(split_clause,[status(thm)],[f804,f1884,f909,f912]) ).
fof(f1946,plain,
( sQ49_spl
| sQ12_spl
| sQ188_spl ),
inference(split_clause,[status(thm)],[f805,f1884,f909,f1029]) ).
fof(f1947,plain,
( sQ13_spl
| sQ48_spl
| sQ188_spl ),
inference(split_clause,[status(thm)],[f806,f1884,f1026,f912]) ).
fof(f1948,plain,
( sQ49_spl
| sQ48_spl
| sQ188_spl ),
inference(split_clause,[status(thm)],[f807,f1884,f1026,f1029]) ).
fof(f1949,plain,
( sQ0_spl
| ~ sQ189_spl ),
inference(split_clause,[status(thm)],[f809,f1897,f870]) ).
fof(f1951,plain,
( ~ sQ0_spl
| ~ sQ189_spl ),
inference(split_clause,[status(thm)],[f811,f1897,f870]) ).
fof(f1952,plain,
( ~ sQ17_spl
| ~ sQ189_spl ),
inference(split_clause,[status(thm)],[f812,f1897,f925]) ).
fof(f1953,plain,
( ~ sQ34_spl
| ~ sQ189_spl ),
inference(split_clause,[status(thm)],[f813,f1897,f980]) ).
fof(f1954,plain,
( ~ sQ51_spl
| ~ sQ189_spl ),
inference(split_clause,[status(thm)],[f814,f1897,f1035]) ).
fof(f1956,definition,
( sQ196_spl
<=> op(e0,e0) = op(e0,e0) ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f1959,plain,
( sQ196_spl
| ~ sQ190_spl ),
inference(split_clause,[status(thm)],[f817,f1908,f1956]) ).
fof(f1960,plain,
( ~ sQ196_spl
| ~ sQ190_spl ),
inference(split_clause,[status(thm)],[f818,f1908,f1956]) ).
fof(f1961,definition,
( sQ197_spl
<=> op(e0,op(e0,e0)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition]) ).
fof(f1962,plain,
( ~ sQ197_spl
| op(e0,op(e0,e0)) = e0 ),
inference(component_clause,[status(thm)],[f1961]) ).
fof(f1963,plain,
( sQ197_spl
| op(e0,op(e0,e0)) != e0 ),
inference(component_clause,[status(thm)],[f1961]) ).
fof(f1964,plain,
( sQ197_spl
| ~ sQ190_spl ),
inference(split_clause,[status(thm)],[f819,f1908,f1961]) ).
fof(f1966,definition,
( sQ198_spl
<=> sP72_prd ),
introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).
fof(f1969,plain,
( sQ198_spl
| ~ sQ194_spl ),
inference(split_clause,[status(thm)],[f824,f1927,f1966]) ).
fof(f1970,plain,
( ~ sQ3_spl
| ~ sQ194_spl ),
inference(split_clause,[status(thm)],[f825,f1927,f879]) ).
fof(f1971,plain,
( sQ3_spl
| ~ sQ198_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f826,f1927,f1966,f879]) ).
fof(f1973,definition,
( sQ199_spl
<=> sP73_prd ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f1976,plain,
( sQ199_spl
| ~ sQ193_spl ),
inference(split_clause,[status(thm)],[f831,f1923,f1973]) ).
fof(f1977,plain,
( ~ sQ19_spl
| ~ sQ7_spl
| ~ sQ193_spl ),
inference(split_clause,[status(thm)],[f832,f1923,f892,f931]) ).
fof(f1978,plain,
( sQ7_spl
| ~ sQ199_spl
| sQ193_spl ),
inference(split_clause,[status(thm)],[f833,f1923,f1973,f892]) ).
fof(f1979,plain,
( sQ19_spl
| ~ sQ199_spl
| sQ193_spl ),
inference(split_clause,[status(thm)],[f834,f1923,f1973,f931]) ).
fof(f1980,plain,
( ~ sQ32_spl
| ~ sQ8_spl
| ~ sQ195_spl ),
inference(split_clause,[status(thm)],[f836,f1936,f896,f974]) ).
fof(f1981,plain,
( ~ sQ33_spl
| ~ sQ9_spl
| ~ sQ195_spl ),
inference(split_clause,[status(thm)],[f837,f1936,f899,f977]) ).
fof(f1982,plain,
( sQ9_spl
| sQ8_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f838,f1936,f896,f899]) ).
fof(f1983,plain,
( sQ33_spl
| sQ8_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f839,f1936,f896,f977]) ).
fof(f1984,plain,
( sQ9_spl
| sQ32_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f840,f1936,f974,f899]) ).
fof(f1985,plain,
( sQ33_spl
| sQ32_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f841,f1936,f974,f977]) ).
fof(f1986,definition,
( sQ200_spl
<=> sP74_prd ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f1989,plain,
( sQ200_spl
| ~ sQ198_spl ),
inference(split_clause,[status(thm)],[f845,f1966,f1986]) ).
fof(f1990,plain,
( ~ sQ2_spl
| ~ sQ198_spl ),
inference(split_clause,[status(thm)],[f846,f1966,f876]) ).
fof(f1991,plain,
( sQ2_spl
| ~ sQ200_spl
| sQ198_spl ),
inference(split_clause,[status(thm)],[f847,f1966,f1986,f876]) ).
fof(f1993,definition,
( sQ201_spl
<=> sP75_prd ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f1996,plain,
( sQ201_spl
| ~ sQ199_spl ),
inference(split_clause,[status(thm)],[f852,f1973,f1993]) ).
fof(f1997,plain,
( ~ sQ18_spl
| ~ sQ6_spl
| ~ sQ199_spl ),
inference(split_clause,[status(thm)],[f853,f1973,f889,f928]) ).
fof(f1998,plain,
( sQ6_spl
| ~ sQ201_spl
| sQ199_spl ),
inference(split_clause,[status(thm)],[f854,f1973,f1993,f889]) ).
fof(f1999,plain,
( sQ18_spl
| ~ sQ201_spl
| sQ199_spl ),
inference(split_clause,[status(thm)],[f855,f1973,f1993,f928]) ).
fof(f2000,plain,
( ~ sQ0_spl
| ~ sQ200_spl ),
inference(split_clause,[status(thm)],[f857,f1986,f870]) ).
fof(f2001,plain,
( ~ sQ1_spl
| ~ sQ200_spl ),
inference(split_clause,[status(thm)],[f858,f1986,f873]) ).
fof(f2002,plain,
( sQ1_spl
| sQ0_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f859,f1986,f870,f873]) ).
fof(f2006,plain,
( ~ sQ16_spl
| ~ sQ4_spl
| ~ sQ201_spl ),
inference(split_clause,[status(thm)],[f864,f1993,f883,f922]) ).
fof(f2007,plain,
( ~ sQ17_spl
| ~ sQ5_spl
| ~ sQ201_spl ),
inference(split_clause,[status(thm)],[f865,f1993,f886,f925]) ).
fof(f2008,plain,
( sQ5_spl
| sQ4_spl
| sQ201_spl ),
inference(split_clause,[status(thm)],[f866,f1993,f883,f886]) ).
fof(f2009,plain,
( sQ17_spl
| sQ4_spl
| sQ201_spl ),
inference(split_clause,[status(thm)],[f867,f1993,f883,f925]) ).
fof(f2010,plain,
( sQ5_spl
| sQ16_spl
| sQ201_spl ),
inference(split_clause,[status(thm)],[f868,f1993,f922,f886]) ).
fof(f2011,plain,
( sQ17_spl
| sQ16_spl
| sQ201_spl ),
inference(split_clause,[status(thm)],[f869,f1993,f922,f925]) ).
fof(f2017,plain,
( sQ69_spl
| ~ sQ197_spl
| e2 != op(e0,e0) ),
inference(backward_demodulation,[status(thm)],[f1962,f1141]) ).
fof(f2019,plain,
( sQ79_spl
| ~ sQ163_spl
| e0 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f1710,f1179]) ).
fof(f2023,plain,
( sQ75_spl
| ~ sQ163_spl
| e2 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f1710,f1165]) ).
fof(f2028,plain,
( sQ83_spl
| ~ sQ126_spl
| e3 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f1449,f1196]) ).
fof(f2031,plain,
( sQ89_spl
| ~ sQ67_spl
| e2 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f1128,f1220]) ).
fof(f2034,plain,
( sQ87_spl
| ~ sQ67_spl
| e1 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f1128,f1213]) ).
fof(f2036,plain,
( ~ sQ49_spl
| e1 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f1030,f122]) ).
fof(f2037,plain,
( ~ sQ49_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f1030,f121]) ).
fof(f2038,plain,
( ~ sQ49_spl
| e1 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f1030,f120]) ).
fof(f2039,plain,
( ~ sQ49_spl
| op(e2,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f1030,f83]) ).
fof(f2040,plain,
( ~ sQ49_spl
| op(e1,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f1030,f82]) ).
fof(f2041,plain,
( ~ sQ49_spl
| op(e0,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f1030,f80]) ).
fof(f2042,plain,
( ~ sQ9_spl
| e1 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f900,f107]) ).
fof(f2043,plain,
( ~ sQ9_spl
| op(e0,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f900,f105]) ).
fof(f2044,plain,
( ~ sQ9_spl
| op(e0,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f900,f103]) ).
fof(f2045,plain,
( ~ sQ9_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f900,f92]) ).
fof(f2046,plain,
( ~ sQ9_spl
| e1 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f900,f91]) ).
fof(f2047,plain,
( ~ sQ9_spl
| e1 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f900,f90]) ).
fof(f2049,plain,
( ~ sQ32_spl
| e0 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f975,f116]) ).
fof(f2050,plain,
( ~ sQ32_spl
| e0 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f975,f115]) ).
fof(f2051,plain,
( ~ sQ32_spl
| e0 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f975,f114]) ).
fof(f2053,plain,
( ~ sQ32_spl
| op(e0,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f975,f79]) ).
fof(f2054,plain,
( ~ sQ45_spl
| op(e2,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f1017,f119]) ).
fof(f2055,plain,
( ~ sQ45_spl
| op(e2,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f1017,f118]) ).
fof(f2056,plain,
( ~ sQ45_spl
| e1 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f1017,f101]) ).
fof(f2057,plain,
( ~ sQ45_spl
| op(e1,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f1017,f99]) ).
fof(f2058,plain,
( ~ sQ45_spl
| op(e0,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f1017,f97]) ).
fof(f2060,plain,
( ~ sQ56_spl
| e0 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f1053,f125]) ).
fof(f2061,plain,
( ~ sQ56_spl
| op(e3,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f1053,f123]) ).
fof(f2062,plain,
( ~ sQ56_spl
| op(e2,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f1053,f95]) ).
fof(f2063,plain,
( ~ sQ56_spl
| op(e1,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f1053,f94]) ).
fof(f2065,plain,
( ~ sQ28_spl
| op(e1,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f962,f113]) ).
fof(f2066,plain,
( ~ sQ28_spl
| op(e1,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f962,f112]) ).
fof(f2067,plain,
( ~ sQ28_spl
| op(e1,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f962,f110]) ).
fof(f2068,plain,
( ~ sQ28_spl
| e0 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f962,f100]) ).
fof(f2069,plain,
( ~ sQ28_spl
| op(e0,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f962,f96]) ).
fof(f2071,plain,
( ~ sQ53_spl
| e1 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f1043,f124]) ).
fof(f2072,plain,
( ~ sQ53_spl
| op(e2,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f1043,f89]) ).
fof(f2073,plain,
( ~ sQ53_spl
| op(e1,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f1043,f88]) ).
fof(f2074,plain,
( ~ sQ53_spl
| op(e0,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f1043,f86]) ).
fof(f2075,plain,
( ~ sQ24_spl
| op(e1,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f949,f111]) ).
fof(f2076,plain,
( ~ sQ24_spl
| op(e1,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f949,f109]) ).
fof(f2077,plain,
( ~ sQ24_spl
| e0 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f949,f93]) ).
fof(f2078,plain,
( ~ sQ49_spl
| ~ sQ48_spl
| e0 = e1 ),
inference(backward_demodulation,[status(thm)],[f1027,f1030]) ).
fof(f2079,plain,
( ~ sQ49_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2078,f126]) ).
fof(f2080,plain,
( ~ sQ49_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f2079]) ).
fof(f2081,plain,
( ~ sQ45_spl
| op(e2,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f1017,f116]) ).
fof(f2082,plain,
( ~ sQ28_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f2067,f922,f961]) ).
fof(f2084,plain,
( ~ sQ53_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f2074,f886,f1042]) ).
fof(f2085,plain,
( ~ sQ9_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f2043,f886,f899]) ).
fof(f2086,plain,
( ~ sQ57_spl
| ~ sQ56_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f1053,f1056]) ).
fof(f2087,plain,
( ~ sQ57_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2086,f126]) ).
fof(f2088,plain,
( ~ sQ57_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f2087]) ).
fof(f2089,plain,
( ~ sQ53_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f2072,f990,f1042]) ).
fof(f2092,plain,
( ~ sQ53_spl
| e1 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f1043,f123]) ).
fof(f2093,plain,
( ~ sQ49_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f2037,f1055,f1029]) ).
fof(f2094,plain,
( ~ sQ49_spl
| ~ sQ53_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f1043,f2038]) ).
fof(f2095,plain,
( ~ sQ49_spl
| ~ sQ53_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2094]) ).
fof(f2096,plain,
( ~ sQ49_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f2095]) ).
fof(f2097,plain,
( ~ sQ45_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f2081,f977,f1016]) ).
fof(f2098,plain,
( ~ sQ45_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f2058,f912,f1016]) ).
fof(f2099,plain,
( ~ sQ24_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f2077,f1000,f948]) ).
fof(f2100,plain,
( ~ sQ24_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f2076,f922,f948]) ).
fof(f2101,plain,
( ~ sQ32_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f2050,f1000,f974]) ).
fof(f2102,plain,
( ~ sQ32_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f2051,f987,f974]) ).
fof(f2103,plain,
( ~ sQ56_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f2062,f1000,f1052]) ).
fof(f2104,plain,
( ~ sQ49_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f2040,f925,f1029]) ).
fof(f2105,plain,
( ~ sQ170_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1760,f78]) ).
fof(f2106,plain,
~ sQ170_spl,
inference(contradiction_clause,[status(thm)],[f2105]) ).
fof(f2107,plain,
( ~ sQ191_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1913,f84]) ).
fof(f2108,plain,
~ sQ191_spl,
inference(contradiction_clause,[status(thm)],[f2107]) ).
fof(f2109,plain,
( ~ sQ177_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1811,f98]) ).
fof(f2110,plain,
~ sQ177_spl,
inference(contradiction_clause,[status(thm)],[f2109]) ).
fof(f2111,plain,
( ~ sQ15_spl
| op(e0,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f919,f106]) ).
fof(f2114,plain,
( ~ sQ7_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f893,f102]) ).
fof(f2115,plain,
( ~ sQ7_spl
| e3 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f893,f85]) ).
fof(f2116,plain,
( ~ sQ7_spl
| e3 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f893,f84]) ).
fof(f2117,plain,
( ~ sQ7_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f2116,f944,f892]) ).
fof(f2118,plain,
( ~ sQ28_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f2068,f1065,f961]) ).
fof(f2121,plain,
( ~ sQ56_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f2060,f1065,f1052]) ).
fof(f2122,plain,
( ~ sQ53_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f2071,f1068,f1042]) ).
fof(f2124,plain,
( ~ sQ192_spl
| ~ sQ6_spl
| op(e1,e2) = e1 ),
inference(backward_demodulation,[status(thm)],[f890,f1917]) ).
fof(f2125,plain,
( ~ sQ47_spl
| op(e2,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f1023,f116]) ).
fof(f2126,plain,
( ~ sQ47_spl
| op(e2,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f1023,f119]) ).
fof(f2127,plain,
( ~ sQ47_spl
| op(e2,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f1023,f118]) ).
fof(f2128,plain,
( ~ sQ47_spl
| e3 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f1023,f101]) ).
fof(f2129,plain,
( ~ sQ47_spl
| op(e1,e3) != e3 ),
inference(forward_demodulation,[status(thm)],[f1023,f99]) ).
fof(f2130,plain,
( ~ sQ15_spl
| e3 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f919,f97]) ).
fof(f2131,plain,
( ~ sQ15_spl
| ~ sQ47_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f1023,f2130]) ).
fof(f2132,plain,
( ~ sQ15_spl
| ~ sQ47_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2131]) ).
fof(f2133,plain,
( ~ sQ15_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f2132]) ).
fof(f2134,plain,
( ~ sQ61_spl
| sQ87_spl
| ~ sQ67_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1069,f2034]) ).
fof(f2135,plain,
( ~ sQ61_spl
| sQ87_spl
| ~ sQ67_spl ),
inference(contradiction_clause,[status(thm)],[f2134]) ).
fof(f2137,plain,
( ~ sQ43_spl
| sQ83_spl
| ~ sQ126_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1010,f2028]) ).
fof(f2138,plain,
( ~ sQ43_spl
| sQ83_spl
| ~ sQ126_spl ),
inference(contradiction_clause,[status(thm)],[f2137]) ).
fof(f2139,plain,
( ~ sQ7_spl
| ~ sQ6_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f890,f893]) ).
fof(f2140,plain,
( ~ sQ7_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2139,f131]) ).
fof(f2141,plain,
( ~ sQ7_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f2140]) ).
fof(f2143,plain,
( ~ sQ45_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f2054,f1003,f1016]) ).
fof(f2144,plain,
( ~ sQ45_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f2055,f990,f1016]) ).
fof(f2145,plain,
( ~ sQ45_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f2056,f1068,f1016]) ).
fof(f2148,plain,
( ~ sQ53_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f2073,f938,f1042]) ).
fof(f2149,plain,
( ~ sQ32_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f2049,f1013,f974]) ).
fof(f2150,plain,
( sQ69_spl
| ~ sQ197_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f2017,f876,f1961,f1139]) ).
fof(f2151,plain,
( sQ79_spl
| ~ sQ163_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f2019,f935,f1709,f1177]) ).
fof(f2152,plain,
( sQ75_spl
| ~ sQ163_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f2023,f941,f1709,f1163]) ).
fof(f2153,plain,
( ~ sQ47_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f2129,f970,f1022]) ).
fof(f2154,plain,
( ~ sQ133_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1499,f87]) ).
fof(f2155,plain,
~ sQ133_spl,
inference(contradiction_clause,[status(thm)],[f2154]) ).
fof(f2156,plain,
( ~ sQ155_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1655,f93]) ).
fof(f2157,plain,
~ sQ155_spl,
inference(contradiction_clause,[status(thm)],[f2156]) ).
fof(f2158,plain,
( ~ sQ141_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1553,f79]) ).
fof(f2159,plain,
~ sQ141_spl,
inference(contradiction_clause,[status(thm)],[f2158]) ).
fof(f2161,plain,
( ~ sQ48_spl
| e0 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f1027,f120]) ).
fof(f2162,plain,
( ~ sQ48_spl
| op(e0,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f1027,f80]) ).
fof(f2163,plain,
( ~ sQ48_spl
| op(e1,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f1027,f82]) ).
fof(f2164,plain,
( ~ sQ48_spl
| op(e2,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f1027,f83]) ).
fof(f2165,plain,
( ~ sQ48_spl
| e0 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f1027,f121]) ).
fof(f2166,plain,
( ~ sQ48_spl
| e0 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f1027,f122]) ).
fof(f2167,plain,
( ~ sQ48_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f2165,f1052,f1026]) ).
fof(f2168,plain,
( ~ sQ15_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f2111,f892,f918]) ).
fof(f2169,plain,
( ~ sQ49_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f2039,f977,f1029]) ).
fof(f2170,plain,
( ~ sQ49_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f2036,f1068,f1029]) ).
fof(f2171,plain,
( sQ89_spl
| ~ sQ67_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f2031,f1071,f1127,f1218]) ).
fof(f2172,plain,
( ~ sQ103_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1295,f88]) ).
fof(f2173,plain,
~ sQ103_spl,
inference(contradiction_clause,[status(thm)],[f2172]) ).
fof(f2174,plain,
( ~ sQ11_spl
| e3 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f906,f90]) ).
fof(f2176,plain,
( ~ sQ11_spl
| e3 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f906,f92]) ).
fof(f2177,plain,
( ~ sQ11_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f906,f103]) ).
fof(f2178,plain,
( ~ sQ11_spl
| op(e0,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f906,f105]) ).
fof(f2179,plain,
( ~ sQ11_spl
| e3 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f906,f107]) ).
fof(f2180,plain,
( ~ sQ11_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f2177,f879,f905]) ).
fof(f2182,plain,
( ~ sQ58_spl
| op(e3,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f1059,f123]) ).
fof(f2183,plain,
( ~ sQ58_spl
| op(e1,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f1059,f94]) ).
fof(f2184,plain,
( ~ sQ58_spl
| op(e2,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f1059,f95]) ).
fof(f2185,plain,
( ~ sQ58_spl
| e2 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f1059,f125]) ).
fof(f2186,plain,
( ~ sQ58_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f2185,f1071,f1058]) ).
fof(f2187,plain,
( ~ sQ48_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f2161,f1039,f1026]) ).
fof(f2188,plain,
( ~ sQ48_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f2162,f870,f1026]) ).
fof(f2189,plain,
( ~ sQ48_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f2163,f922,f1026]) ).
fof(f2190,plain,
( ~ sQ48_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f2166,f1065,f1026]) ).
fof(f2191,plain,
( ~ sQ47_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f2127,f996,f1022]) ).
fof(f2192,plain,
( ~ sQ47_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f2126,f1009,f1022]) ).
fof(f2195,plain,
( ~ sQ25_spl
| e1 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f952,f113]) ).
fof(f2196,plain,
( ~ sQ25_spl
| e1 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f952,f93]) ).
fof(f2197,plain,
( ~ sQ25_spl
| op(e1,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f952,f109]) ).
fof(f2198,plain,
( ~ sQ25_spl
| op(e1,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f952,f111]) ).
fof(f2199,plain,
( ~ sQ30_spl
| e2 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f968,f99]) ).
fof(f2200,plain,
( ~ sQ30_spl
| op(e0,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f968,f96]) ).
fof(f2201,plain,
( ~ sQ30_spl
| e2 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f968,f100]) ).
fof(f2202,plain,
( ~ sQ30_spl
| op(e1,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f968,f110]) ).
fof(f2203,plain,
( ~ sQ30_spl
| op(e1,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f968,f112]) ).
fof(f2204,plain,
( ~ sQ30_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f2200,f915,f967]) ).
fof(f2205,plain,
( ~ sQ30_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f2201,f1071,f967]) ).
fof(f2206,plain,
( ~ sQ30_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f2202,f928,f967]) ).
fof(f2208,plain,
( ~ sQ16_spl
| e0 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f923,f81]) ).
fof(f2209,plain,
( ~ sQ16_spl
| e0 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f923,f108]) ).
fof(f2210,plain,
( ~ sQ16_spl
| op(e0,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f923,f78]) ).
fof(f2211,plain,
( ~ sQ13_spl
| e1 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f913,f98]) ).
fof(f2213,plain,
( ~ sQ13_spl
| op(e0,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f913,f106]) ).
fof(f2215,plain,
( ~ sQ13_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f2211,f1068,f912]) ).
fof(f2216,plain,
( ~ sQ13_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f2213,f886,f912]) ).
fof(f2217,plain,
( ~ sQ9_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f2044,f873,f899]) ).
fof(f2218,plain,
( ~ sQ9_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f2045,f1055,f899]) ).
fof(f2219,plain,
( ~ sQ9_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f2046,f1003,f899]) ).
fof(f2220,plain,
( ~ sQ9_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f2047,f951,f899]) ).
fof(f2221,plain,
( ~ sQ27_spl
| ~ sQ25_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f952,f958]) ).
fof(f2222,plain,
( ~ sQ27_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2221,f130]) ).
fof(f2223,plain,
( ~ sQ27_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f2222]) ).
fof(f2224,plain,
( ~ sQ16_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f2209,f935,f922]) ).
fof(f2225,plain,
( ~ sQ30_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f2203,f941,f967]) ).
fof(f2226,plain,
( ~ sQ25_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f2196,f1003,f951]) ).
fof(f2227,plain,
( ~ sQ25_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f2197,f925,f951]) ).
fof(f2228,plain,
( ~ sQ25_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f2198,f938,f951]) ).
fof(f2229,plain,
( ~ sQ58_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f2183,f954,f1058]) ).
fof(f2230,plain,
( ~ sQ58_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f2184,f1006,f1058]) ).
fof(f2231,plain,
( ~ sQ192_spl
| ~ sQ6_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f2124,f951,f889,f1916]) ).
fof(f2232,plain,
( ~ sQ45_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f2057,f964,f1016]) ).
fof(f2233,plain,
( ~ sQ28_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f2065,f948,f961]) ).
fof(f2234,plain,
( ~ sQ28_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f2066,f935,f961]) ).
fof(f2235,plain,
( ~ sQ28_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f2069,f909,f961]) ).
fof(f2236,plain,
( ~ sQ24_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f2075,f935,f948]) ).
fof(f2237,plain,
( ~ sQ56_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f2061,f1039,f1052]) ).
fof(f2238,plain,
( ~ sQ56_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f2063,f948,f1052]) ).
fof(f2239,plain,
( ~ sQ48_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f2164,f974,f1026]) ).
fof(f2240,plain,
( ~ sQ11_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f2176,f1061,f905]) ).
fof(f2241,plain,
( ~ sQ169_spl
| op(e0,e1) != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f1756,f110]) ).
fof(f2242,plain,
( ~ sQ169_spl
| op(e0,e1) != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f1756,f82]) ).
fof(f2243,plain,
( ~ sQ169_spl
| op(e0,e1) != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f1756,f81]) ).
fof(f2247,plain,
( sQ16_spl
| ~ sQ169_spl
| op(e0,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f1756,f924]) ).
fof(f2248,plain,
( ~ sQ38_spl
| e2 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f994,f118]) ).
fof(f2249,plain,
( ~ sQ38_spl
| op(e0,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f994,f85]) ).
fof(f2250,plain,
( ~ sQ38_spl
| e2 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f994,f89]) ).
fof(f2251,plain,
( ~ sQ38_spl
| op(e2,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f994,f114]) ).
fof(f2252,plain,
( ~ sQ38_spl
| e2 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f994,f117]) ).
fof(f2253,plain,
( ~ sQ38_spl
| op(e1,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f994,f87]) ).
fof(f2254,plain,
( ~ sQ38_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f2251,f980,f993]) ).
fof(f2255,plain,
( ~ sQ38_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f2252,f1006,f993]) ).
fof(f2256,plain,
( ~ sQ4_spl
| sQ16_spl
| ~ sQ169_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f884,f2247]) ).
fof(f2257,plain,
( ~ sQ4_spl
| sQ16_spl
| ~ sQ169_spl ),
inference(contradiction_clause,[status(thm)],[f2256]) ).
fof(f2259,plain,
( ~ sQ34_spl
| e2 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f981,f83]) ).
fof(f2260,plain,
( ~ sQ34_spl
| e2 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f981,f116]) ).
fof(f2261,plain,
( ~ sQ34_spl
| op(e0,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f981,f79]) ).
fof(f2262,plain,
( ~ sQ34_spl
| e2 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f981,f115]) ).
fof(f2265,plain,
( ~ sQ14_spl
| op(e0,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f916,f107]) ).
fof(f2266,plain,
( ~ sQ14_spl
| e2 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f916,f97]) ).
fof(f2267,plain,
( ~ sQ14_spl
| op(e0,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f916,f106]) ).
fof(f2268,plain,
( ~ sQ14_spl
| op(e0,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f916,f104]) ).
fof(f2269,plain,
( ~ sQ14_spl
| e2 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f916,f98]) ).
fof(f2271,plain,
( ~ sQ14_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2265,f902,f915]) ).
fof(f2272,plain,
( ~ sQ14_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f2269,f1071,f915]) ).
fof(f2273,plain,
( sQ17_spl
| ~ sQ169_spl
| op(e0,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f1756,f927]) ).
fof(f2274,plain,
( sQ18_spl
| ~ sQ169_spl
| op(e0,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f1756,f930]) ).
fof(f2277,plain,
( ~ sQ44_spl
| op(e1,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f1014,f99]) ).
fof(f2278,plain,
( ~ sQ44_spl
| op(e2,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f1014,f119]) ).
fof(f2279,plain,
( ~ sQ44_spl
| e0 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f1014,f101]) ).
fof(f2280,plain,
( ~ sQ44_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f2278,f1000,f1013]) ).
fof(f2283,plain,
( ~ sQ9_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f2042,f912,f899]) ).
fof(f2285,plain,
( ~ sQ38_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f2253,f941,f993]) ).
fof(f2286,plain,
( ~ sQ169_spl
| ~ sQ51_spl
| op(e0,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f1036,f2242]) ).
fof(f2288,plain,
( ~ sQ51_spl
| e3 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f1036,f121]) ).
fof(f2289,plain,
( ~ sQ51_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f1036,f80]) ).
fof(f2290,plain,
( ~ sQ51_spl
| e3 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f1036,f120]) ).
fof(f2291,plain,
( ~ sQ51_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f2288,f1061,f1035]) ).
fof(f2292,plain,
( ~ sQ51_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f2289,f879,f1035]) ).
fof(f2293,plain,
( ~ sQ51_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f2290,f1048,f1035]) ).
fof(f2295,plain,
( ~ sQ32_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f2053,f870,f974]) ).
fof(f2296,plain,
( ~ sQ34_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f2259,f1032,f980]) ).
fof(f2297,plain,
( ~ sQ34_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f2261,f876,f980]) ).
fof(f2300,plain,
( sQ67_spl
| ~ sQ62_spl
| op(e3,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f1072,f1129]) ).
fof(f2301,plain,
( sQ92_spl
| ~ sQ62_spl
| e0 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f1072,f1231]) ).
fof(f2304,plain,
( ~ sQ62_spl
| op(e3,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f1072,f124]) ).
fof(f2306,plain,
( ~ sQ13_spl
| e1 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f913,f96]) ).
fof(f2307,plain,
( ~ sQ13_spl
| op(e0,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f913,f104]) ).
fof(f2311,plain,
( ~ sQ26_spl
| op(e0,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f955,f90]) ).
fof(f2313,plain,
( ~ sQ26_spl
| e2 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f955,f93]) ).
fof(f2314,plain,
( ~ sQ26_spl
| e2 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f955,f113]) ).
fof(f2316,plain,
( ~ sQ26_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2311,f902,f954]) ).
fof(f2317,plain,
( ~ sQ14_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f2268,f876,f915]) ).
fof(f2318,plain,
( ~ sQ58_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f2182,f1045,f1058]) ).
fof(f2319,plain,
( ~ sQ44_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f2279,f1065,f1013]) ).
fof(f2320,plain,
( ~ sQ13_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f2307,f873,f912]) ).
fof(f2322,plain,
( ~ sQ11_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f2174,f957,f905]) ).
fof(f2323,plain,
( ~ sQ26_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f2314,f967,f954]) ).
fof(f2324,plain,
( ~ sQ38_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f2250,f1045,f993]) ).
fof(f2325,plain,
( sQ71_spl
| ~ sQ2_spl
| e3 != op(op(e0,e2),e0) ),
inference(backward_demodulation,[status(thm)],[f877,f1148]) ).
fof(f2326,plain,
( ~ sQ2_spl
| e2 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f877,f78]) ).
fof(f2327,plain,
( ~ sQ2_spl
| e2 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f877,f80]) ).
fof(f2329,plain,
( ~ sQ2_spl
| e2 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f877,f103]) ).
fof(f2330,plain,
( sQ73_spl
| ~ sQ2_spl
| e1 != op(op(e0,e2),e0) ),
inference(backward_demodulation,[status(thm)],[f877,f1155]) ).
fof(f2331,plain,
( ~ sQ2_spl
| e2 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f877,f102]) ).
fof(f2332,plain,
( ~ sQ2_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f2327,f1032,f876]) ).
fof(f2333,plain,
( ~ sQ2_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2329,f902,f876]) ).
fof(f2334,plain,
( ~ sQ118_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1394,f101]) ).
fof(f2335,plain,
~ sQ118_spl,
inference(contradiction_clause,[status(thm)],[f2334]) ).
fof(f2336,plain,
( ~ sQ148_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1604,f100]) ).
fof(f2337,plain,
~ sQ148_spl,
inference(contradiction_clause,[status(thm)],[f2336]) ).
fof(f2339,plain,
( ~ sQ37_spl
| e1 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f991,f117]) ).
fof(f2340,plain,
( ~ sQ37_spl
| op(e2,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f991,f114]) ).
fof(f2342,plain,
( ~ sQ37_spl
| op(e0,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f991,f85]) ).
fof(f2344,plain,
( ~ sQ37_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f2339,f1003,f990]) ).
fof(f2345,plain,
( ~ sQ37_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f2340,f977,f990]) ).
fof(f2346,plain,
( sQ17_spl
| ~ sQ169_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f2273,f886,f1755,f925]) ).
fof(f2347,plain,
( ~ sQ16_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f2210,f870,f922]) ).
fof(f2348,plain,
( ~ sQ38_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f2249,f889,f993]) ).
fof(f2349,plain,
( sQ18_spl
| ~ sQ169_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f2274,f889,f1755,f928]) ).
fof(f2350,plain,
( ~ sQ37_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f2342,f886,f990]) ).
fof(f2351,plain,
( ~ sQ2_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f2326,f928,f876]) ).
fof(f2352,plain,
( ~ sQ7_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f2114,f879,f892]) ).
fof(f2353,plain,
( ~ sQ11_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f2179,f918,f905]) ).
fof(f2354,plain,
( ~ sQ13_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f2306,f964,f912]) ).
fof(f2355,plain,
( ~ sQ53_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f2092,f1055,f1042]) ).
fof(f2356,plain,
( sQ92_spl
| ~ sQ62_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f2301,f1052,f1071,f1229]) ).
fof(f2357,plain,
( ~ sQ35_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f984,f79]) ).
fof(f2358,plain,
( ~ sQ35_spl
| op(e1,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f984,f81]) ).
fof(f2362,plain,
( ~ sQ35_spl
| e3 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f984,f83]) ).
fof(f2363,plain,
( ~ sQ35_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f2357,f879,f983]) ).
fof(f2364,plain,
( ~ sQ35_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f2358,f931,f983]) ).
fof(f2365,plain,
( ~ sQ169_spl
| ~ sQ35_spl
| op(e0,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f984,f2243]) ).
fof(f2366,plain,
( ~ sQ11_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f2178,f892,f905]) ).
fof(f2367,plain,
( ~ sQ2_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f2331,f889,f876]) ).
fof(f2369,plain,
( sQ86_spl
| ~ sQ41_spl
| e0 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f1004,f1207]) ).
fof(f2370,plain,
( sQ85_spl
| ~ sQ41_spl
| e0 != op(op(e2,e1),e2) ),
inference(backward_demodulation,[status(thm)],[f1004,f1203]) ).
fof(f2375,plain,
( ~ sQ41_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f1004,f95]) ).
fof(f2376,plain,
( sQ76_spl
| ~ sQ20_spl
| e3 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f936,f1168]) ).
fof(f2378,plain,
( ~ sQ20_spl
| e0 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f936,f87]) ).
fof(f2382,plain,
( ~ sQ20_spl
| op(e0,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f936,f84]) ).
fof(f2384,plain,
( sQ76_spl
| ~ sQ20_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f2376,f931,f935,f1166]) ).
fof(f2385,plain,
( ~ sQ20_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f2382,f883,f935]) ).
fof(f2393,plain,
( ~ sQ44_spl
| op(e2,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f1014,f118]) ).
fof(f2394,plain,
( ~ sQ44_spl
| op(e0,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f1014,f97]) ).
fof(f2397,plain,
( ~ sQ44_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f2393,f987,f1013]) ).
fof(f2398,plain,
( ~ sQ44_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f2394,f909,f1013]) ).
fof(f2399,plain,
( ~ sQ169_spl
| ~ sQ35_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f2365,f892,f983,f1755]) ).
fof(f2400,plain,
( ~ sQ34_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f2262,f1006,f980]) ).
fof(f2401,plain,
( ~ sQ42_spl
| ~ sQ41_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f1004,f1007]) ).
fof(f2402,plain,
( ~ sQ42_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2401,f129]) ).
fof(f2403,plain,
( ~ sQ42_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f2402]) ).
fof(f2404,plain,
( ~ sQ169_spl
| ~ sQ51_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f2286,f892,f1035,f1755]) ).
fof(f2406,plain,
( ~ sQ17_spl
| op(e0,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f926,f78]) ).
fof(f2410,plain,
( ~ sQ17_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f2406,f873,f925]) ).
fof(f2413,plain,
( ~ sQ35_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f2362,f1035,f983]) ).
fof(f2414,plain,
( ~ sQ17_spl
| e1 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f926,f108]) ).
fof(f2415,plain,
( sQ77_spl
| ~ sQ22_spl
| e3 != op(op(e1,e2),e1) ),
inference(backward_demodulation,[status(thm)],[f942,f1172]) ).
fof(f2418,plain,
( ~ sQ22_spl
| op(e0,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f942,f84]) ).
fof(f2423,plain,
( sQ79_spl
| ~ sQ22_spl
| e0 != op(op(e1,e2),e1) ),
inference(forward_demodulation,[status(thm)],[f942,f1179]) ).
fof(f2424,plain,
( sQ163_spl
| ~ sQ22_spl
| op(e1,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f942,f1711]) ).
fof(f2425,plain,
( sQ79_spl
| ~ sQ22_spl
| ~ sQ27_spl
| e0 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f958,f2423]) ).
fof(f2427,plain,
( ~ sQ27_spl
| e3 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f958,f94]) ).
fof(f2428,plain,
( ~ sQ27_spl
| e3 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f958,f113]) ).
fof(f2430,plain,
( sQ79_spl
| ~ sQ22_spl
| ~ sQ27_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f2425,f1039,f957,f941,f1177]) ).
fof(f2431,plain,
( ~ sQ27_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f2427,f1061,f957]) ).
fof(f2432,plain,
( ~ sQ17_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f2414,f938,f925]) ).
fof(f2434,plain,
( ~ sQ18_spl
| ~ sQ17_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f926,f929]) ).
fof(f2435,plain,
( ~ sQ18_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2434,f129]) ).
fof(f2436,plain,
( ~ sQ18_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f2435]) ).
fof(f2437,plain,
( ~ sQ22_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f2418,f889,f941]) ).
fof(f2438,plain,
( ~ sQ27_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f2428,f970,f957]) ).
fof(f2439,plain,
( ~ sQ26_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f2313,f1006,f954]) ).
fof(f2440,plain,
( ~ sQ41_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f2375,f1055,f1003]) ).
fof(f2441,plain,
( ~ sQ44_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f2277,f961,f1013]) ).
fof(f2443,plain,
( ~ sQ20_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f2378,f987,f935]) ).
fof(f2444,plain,
( ~ sQ34_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f2260,f1019,f980]) ).
fof(f2445,plain,
( ~ sQ38_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f2248,f1019,f993]) ).
fof(f2446,plain,
( ~ sQ30_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f2199,f1019,f967]) ).
fof(f2447,plain,
( sQ67_spl
| ~ sQ62_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f2300,f1061,f1071,f1127]) ).
fof(f2448,plain,
( sQ163_spl
| ~ sQ22_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f2424,f951,f941,f1709]) ).
fof(f2450,plain,
( ~ sQ43_spl
| e3 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f1010,f95]) ).
fof(f2451,plain,
( ~ sQ43_spl
| op(e0,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f1010,f91]) ).
fof(f2453,plain,
( ~ sQ43_spl
| op(e1,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f1010,f93]) ).
fof(f2454,plain,
( ~ sQ43_spl
| op(e2,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f1010,f117]) ).
fof(f2456,plain,
( ~ sQ43_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f2450,f1061,f1009]) ).
fof(f2457,plain,
( ~ sQ43_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f2454,f996,f1009]) ).
fof(f2458,plain,
( ~ sQ14_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f2266,f1019,f915]) ).
fof(f2459,plain,
( ~ sQ14_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f2267,f889,f915]) ).
fof(f2460,plain,
( sQ86_spl
| ~ sQ41_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f2369,f987,f1003,f1205]) ).
fof(f2462,plain,
( ~ sQ19_spl
| e3 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f932,f109]) ).
fof(f2463,plain,
( ~ sQ19_spl
| e3 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f932,f82]) ).
fof(f2464,plain,
( ~ sQ19_spl
| e3 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f932,f110]) ).
fof(f2465,plain,
( ~ sQ19_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f932,f78]) ).
fof(f2468,plain,
( sQ57_spl
| ~ sQ95_spl
| op(e2,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f1250,f1057]) ).
fof(f2469,plain,
( sQ56_spl
| ~ sQ95_spl
| op(e2,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f1250,f1054]) ).
fof(f2473,plain,
( ~ sQ95_spl
| op(e0,e2) != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f1250,f92]) ).
fof(f2474,plain,
( ~ sQ95_spl
| op(e3,e1) != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f1250,f123]) ).
fof(f2475,plain,
( ~ sQ97_spl
| ~ sQ95_spl
| op(e2,op(e2,e3)) = e2 ),
inference(forward_demodulation,[status(thm)],[f1250,f1258]) ).
fof(f2476,plain,
( ~ sQ55_spl
| op(e1,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f1049,f88]) ).
fof(f2480,plain,
( ~ sQ55_spl
| op(e0,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f1049,f86]) ).
fof(f2481,plain,
( ~ sQ55_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f2480,f892,f1048]) ).
fof(f2482,plain,
( sQ59_spl
| ~ sQ95_spl
| op(e2,e3) != e3 ),
inference(forward_demodulation,[status(thm)],[f1250,f1063]) ).
fof(f2483,plain,
( sQ56_spl
| ~ sQ95_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f2469,f1013,f1249,f1052]) ).
fof(f2485,plain,
( sQ91_spl
| ~ sQ61_spl
| e0 != op(op(e3,e1),e3) ),
inference(backward_demodulation,[status(thm)],[f1069,f1227]) ).
fof(f2487,plain,
( ~ sQ61_spl
| op(e1,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f1069,f100]) ).
fof(f2491,plain,
( ~ sQ8_spl
| e0 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f897,f90]) ).
fof(f2494,plain,
( ~ sQ8_spl
| e0 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f897,f107]) ).
fof(f2495,plain,
( ~ sQ8_spl
| op(e0,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f897,f105]) ).
fof(f2498,plain,
( ~ sQ21_spl
| e1 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f939,f87]) ).
fof(f2500,plain,
( ~ sQ21_spl
| e1 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f939,f112]) ).
fof(f2503,plain,
( ~ sQ33_spl
| e1 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f978,f115]) ).
fof(f2508,plain,
( ~ sQ33_spl
| op(e0,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f978,f79]) ).
fof(f2510,plain,
( ~ sQ33_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f2508,f873,f977]) ).
fof(f2511,plain,
( ~ sQ22_spl
| ~ sQ21_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f939,f942]) ).
fof(f2512,plain,
( ~ sQ22_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2511,f129]) ).
fof(f2513,plain,
( ~ sQ22_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f2512]) ).
fof(f2515,plain,
( sQ59_spl
| ~ sQ95_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f2482,f1022,f1249,f1061]) ).
fof(f2517,plain,
( ~ sQ61_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f2487,f964,f1068]) ).
fof(f2518,plain,
( ~ sQ8_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f2495,f883,f896]) ).
fof(f2519,plain,
( ~ sQ33_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f2503,f1003,f977]) ).
fof(f2520,plain,
( ~ sQ8_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f2491,f948,f896]) ).
fof(f2521,plain,
( ~ sQ43_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f2451,f905,f1009]) ).
fof(f2523,plain,
( ~ sQ49_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f2041,f873,f1029]) ).
fof(f2524,plain,
( ~ sQ19_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f2464,f970,f931]) ).
fof(f2527,plain,
( ~ sQ4_spl
| e0 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f884,f86]) ).
fof(f2533,plain,
( ~ sQ95_spl
| op(e3,e1) != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f1250,f123]) ).
fof(f2540,plain,
( ~ sQ95_spl
| ~ sQ55_spl
| e3 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f1049,f2474]) ).
fof(f2546,plain,
( ~ sQ95_spl
| ~ sQ55_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f2540,f1022,f1048,f1249]) ).
fof(f2547,plain,
( ~ sQ43_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f2453,f957,f1009]) ).
fof(f2548,plain,
( ~ sQ7_spl
| ~ sQ4_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f884,f893]) ).
fof(f2549,plain,
( ~ sQ7_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2548,f128]) ).
fof(f2550,plain,
( ~ sQ7_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f2549]) ).
fof(f2557,plain,
( ~ sQ22_spl
| op(e1,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f942,f108]) ).
fof(f2558,plain,
( ~ sQ22_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f2557,f928,f941]) ).
fof(f2559,plain,
( ~ sQ47_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f2128,f1074,f1022]) ).
fof(f2560,plain,
( ~ sQ47_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f2125,f983,f1022]) ).
fof(f2562,plain,
( ~ sQ16_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f2208,f974,f922]) ).
fof(f2564,plain,
( ~ sQ62_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f2304,f1045,f1071]) ).
fof(f2566,plain,
( ~ sQ19_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f2462,f957,f931]) ).
fof(f2567,plain,
( ~ sQ19_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f2465,f879,f931]) ).
fof(f2568,plain,
( ~ sQ184_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1862,f91]) ).
fof(f2569,plain,
~ sQ184_spl,
inference(contradiction_clause,[status(thm)],[f2568]) ).
fof(f2570,plain,
( ~ sQ8_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f2494,f909,f896]) ).
fof(f2571,plain,
( ~ sQ140_spl
| op(e0,e2) != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f1549,f114]) ).
fof(f2573,plain,
( ~ sQ140_spl
| op(e0,e2) != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f1549,f116]) ).
fof(f2576,plain,
( ~ sQ140_spl
| op(e1,e0) != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f1549,f81]) ).
fof(f2577,plain,
( sQ33_spl
| ~ sQ140_spl
| op(e0,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f1549,f979]) ).
fof(f2587,plain,
( sQ91_spl
| ~ sQ62_spl
| e0 != op(op(e3,e2),e3) ),
inference(backward_demodulation,[status(thm)],[f1072,f1227]) ).
fof(f2591,plain,
( ~ sQ62_spl
| op(e3,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f1072,f122]) ).
fof(f2596,plain,
( sQ35_spl
| ~ sQ140_spl
| op(e0,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f1549,f985]) ).
fof(f2603,plain,
( ~ sQ55_spl
| op(e2,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f1049,f89]) ).
fof(f2608,plain,
( ~ sQ89_spl
| ~ sQ62_spl
| e2 = op(op(e3,e2),e3) ),
inference(forward_demodulation,[status(thm)],[f1072,f1219]) ).
fof(f2612,plain,
( sQ77_spl
| ~ sQ22_spl
| e3 != op(op(e1,e2),e1) ),
inference(backward_demodulation,[status(thm)],[f942,f1172]) ).
fof(f2621,plain,
( sQ74_spl
| ~ sQ3_spl
| e1 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f880,f1159]) ).
fof(f2629,plain,
( sQ74_spl
| ~ sQ3_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f2621,f912,f879,f1157]) ).
fof(f2630,plain,
( ~ sQ74_spl
| ~ sQ3_spl
| e1 = op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f880,f1158]) ).
fof(f2631,plain,
( sQ69_spl
| ~ sQ3_spl
| e2 != op(op(e0,e3),e0) ),
inference(forward_demodulation,[status(thm)],[f880,f1141]) ).
fof(f2633,plain,
( sQ84_spl
| ~ sQ40_spl
| e1 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f1001,f1199]) ).
fof(f2634,plain,
( sQ81_spl
| ~ sQ40_spl
| e1 != op(op(e2,e0),e2) ),
inference(backward_demodulation,[status(thm)],[f1001,f1189]) ).
fof(f2639,plain,
( ~ sQ40_spl
| op(e2,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f1001,f117]) ).
fof(f2641,plain,
( sQ84_spl
| ~ sQ40_spl
| ~ sQ140_spl
| e1 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f1549,f2633]) ).
fof(f2643,plain,
( ~ sQ140_spl
| ~ sQ34_spl
| op(e0,e2) = e2 ),
inference(backward_demodulation,[status(thm)],[f981,f1549]) ).
fof(f2644,plain,
( sQ77_spl
| ~ sQ22_spl
| ~ sQ27_spl
| e3 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f958,f2415]) ).
fof(f2652,plain,
( sQ77_spl
| ~ sQ22_spl
| ~ sQ27_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f2644,f1048,f957,f941,f1170]) ).
fof(f2655,plain,
( sQ90_spl
| ~ sQ62_spl
| e1 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f1072,f1223]) ).
fof(f2676,plain,
( ~ sQ75_spl
| ~ sQ22_spl
| e2 = op(op(e1,e2),e1) ),
inference(forward_demodulation,[status(thm)],[f942,f1164]) ).
fof(f2677,plain,
( ~ sQ55_spl
| ~ sQ75_spl
| ~ sQ22_spl
| ~ sQ27_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f2678,f1049]) ).
fof(f2678,plain,
( ~ sQ75_spl
| ~ sQ22_spl
| ~ sQ27_spl
| e2 = op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f958,f2676]) ).
fof(f2679,plain,
( ~ sQ55_spl
| ~ sQ75_spl
| ~ sQ22_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2677,f131]) ).
fof(f2680,plain,
( ~ sQ55_spl
| ~ sQ75_spl
| ~ sQ22_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f2679]) ).
fof(f2685,plain,
( sQ76_spl
| ~ sQ22_spl
| e3 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f942,f1168]) ).
fof(f2686,plain,
( sQ76_spl
| ~ sQ22_spl
| ~ sQ27_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f958,f2685]) ).
fof(f2687,plain,
( sQ76_spl
| ~ sQ22_spl
| ~ sQ27_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2686]) ).
fof(f2688,plain,
( sQ76_spl
| ~ sQ22_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f2687]) ).
fof(f2689,plain,
( ~ sQ76_spl
| ~ sQ22_spl
| e3 = op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f942,f1167]) ).
fof(f2694,plain,
( ~ sQ185_spl
| ~ sQ10_spl
| op(e2,e2) = e2 ),
inference(backward_demodulation,[status(thm)],[f903,f1866]) ).
fof(f2696,plain,
( ~ sQ10_spl
| op(e0,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f903,f105]) ).
fof(f2698,plain,
( ~ sQ10_spl
| e2 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f903,f92]) ).
fof(f2699,plain,
( ~ sQ185_spl
| ~ sQ10_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f2694,f1006,f902,f1865]) ).
fof(f2702,plain,
( ~ sQ110_spl
| ~ sQ13_spl
| e1 = op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f913,f1339]) ).
fof(f2703,plain,
( ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ48_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f1027,f2702]) ).
fof(f2704,plain,
( ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2703,f126]) ).
fof(f2705,plain,
( ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f2704]) ).
fof(f2724,plain,
( ~ sQ34_spl
| op(e1,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f981,f81]) ).
fof(f2727,plain,
( ~ sQ102_spl
| ~ sQ28_spl
| e0 = op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f962,f1291]) ).
fof(f2730,plain,
( sQ132_spl
| ~ sQ27_spl
| e3 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f958,f1496]) ).
fof(f2731,plain,
( sQ140_spl
| ~ sQ10_spl
| e2 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f903,f1550]) ).
fof(f2732,plain,
( sQ140_spl
| ~ sQ10_spl
| ~ sQ34_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f981,f2731]) ).
fof(f2733,plain,
( sQ140_spl
| ~ sQ10_spl
| ~ sQ34_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2732]) ).
fof(f2734,plain,
( sQ140_spl
| ~ sQ10_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f2733]) ).
fof(f2735,plain,
( ~ sQ140_spl
| ~ sQ10_spl
| e2 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f903,f2571]) ).
fof(f2763,plain,
( ~ sQ89_spl
| ~ sQ62_spl
| ~ sQ57_spl
| e2 = op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f1056,f2608]) ).
fof(f2766,plain,
( ~ sQ89_spl
| ~ sQ62_spl
| ~ sQ57_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f2763,f967,f1055,f1071,f1218]) ).
fof(f2774,plain,
( ~ sQ132_spl
| ~ sQ27_spl
| e3 = op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f958,f1495]) ).
fof(f2775,plain,
( ~ sQ132_spl
| ~ sQ27_spl
| sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2774,f998]) ).
fof(f2776,plain,
( ~ sQ132_spl
| ~ sQ27_spl
| sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f2775]) ).
fof(f2777,plain,
( ~ sQ102_spl
| ~ sQ28_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f2727,f1039,f961,f1290]) ).
fof(f2778,plain,
( sQ102_spl
| ~ sQ28_spl
| e0 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f962,f1292]) ).
fof(f2779,plain,
( ~ sQ142_spl
| ~ sQ34_spl
| op(e0,e2) = e0 ),
inference(forward_demodulation,[status(thm)],[f981,f1557]) ).
fof(f2789,plain,
( sQ91_spl
| ~ sQ62_spl
| ~ sQ57_spl
| e0 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f1056,f2587]) ).
fof(f2790,plain,
( sQ91_spl
| ~ sQ62_spl
| ~ sQ57_spl
| ~ sQ28_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f962,f2789]) ).
fof(f2791,plain,
( sQ91_spl
| ~ sQ62_spl
| ~ sQ57_spl
| ~ sQ28_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2790]) ).
fof(f2792,plain,
( sQ91_spl
| ~ sQ62_spl
| ~ sQ57_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f2791]) ).
fof(f2793,plain,
( sQ90_spl
| ~ sQ62_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f2655,f1055,f1071,f1221]) ).
fof(f2804,plain,
( ~ sQ110_spl
| ~ sQ13_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f2702,f1029,f912,f1338]) ).
fof(f2809,plain,
( ~ sQ75_spl
| ~ sQ22_spl
| ~ sQ27_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f2678,f1045,f957,f941,f1163]) ).
fof(f2810,plain,
( ~ sQ92_spl
| ~ sQ62_spl
| e0 = op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f1072,f1230]) ).
fof(f2812,plain,
( ~ sQ142_spl
| ~ sQ34_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f2779,f896,f980,f1556]) ).
fof(f2813,plain,
( ~ sQ62_spl
| op(e2,e3) != e2 ),
inference(forward_demodulation,[status(thm)],[f1072,f101]) ).
fof(f2816,plain,
( ~ sQ55_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f2603,f996,f1048]) ).
fof(f2821,plain,
( ~ sQ35_spl
| ~ sQ34_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f981,f984]) ).
fof(f2822,plain,
( ~ sQ35_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2821,f131]) ).
fof(f2823,plain,
( ~ sQ35_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f2822]) ).
fof(f2832,plain,
( sQ83_spl
| ~ sQ41_spl
| e3 != op(op(e2,e1),e2) ),
inference(forward_demodulation,[status(thm)],[f1004,f1196]) ).
fof(f2834,plain,
( ~ sQ89_spl
| ~ sQ62_spl
| ~ sQ56_spl
| e2 = op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f1053,f2608]) ).
fof(f2839,plain,
( ~ sQ89_spl
| ~ sQ62_spl
| ~ sQ56_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f2834,f915,f1052,f1071,f1218]) ).
fof(f2846,plain,
( sQ78_spl
| ~ sQ20_spl
| e2 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f936,f1175]) ).
fof(f2847,plain,
( sQ75_spl
| ~ sQ20_spl
| e2 != op(op(e1,e0),e1) ),
inference(backward_demodulation,[status(thm)],[f936,f1165]) ).
fof(f2848,plain,
( sQ163_spl
| ~ sQ20_spl
| op(e1,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f936,f1711]) ).
fof(f2849,plain,
( ~ sQ20_spl
| e0 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f936,f88]) ).
fof(f2850,plain,
( ~ sQ20_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f2849,f1039,f935]) ).
fof(f2851,plain,
( sQ102_spl
| ~ sQ28_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f2778,f1039,f961,f1290]) ).
fof(f2852,plain,
( sQ57_spl
| ~ sQ95_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f2468,f1016,f1249,f1055]) ).
fof(f2884,plain,
( ~ sQ69_spl
| ~ sQ2_spl
| e2 = op(op(e0,e2),e0) ),
inference(forward_demodulation,[status(thm)],[f877,f1140]) ).
fof(f2895,plain,
( ~ sQ52_spl
| e0 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f1040,f124]) ).
fof(f2898,plain,
( ~ sQ52_spl
| op(e2,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f1040,f89]) ).
fof(f2905,plain,
( ~ sQ8_spl
| e0 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f897,f92]) ).
fof(f2913,plain,
( ~ sQ25_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f952,f94]) ).
fof(f2925,plain,
( ~ sQ15_spl
| e3 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f919,f96]) ).
fof(f2956,plain,
( ~ sQ19_spl
| e3 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f932,f108]) ).
fof(f2960,plain,
( ~ sQ22_spl
| e2 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f942,f88]) ).
fof(f2989,plain,
( sQ87_spl
| ~ sQ62_spl
| e1 != op(op(e3,e2),e3) ),
inference(forward_demodulation,[status(thm)],[f1072,f1213]) ).
fof(f2999,plain,
( sQ95_spl
| ~ sQ45_spl
| e1 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f1017,f1251]) ).
fof(f3002,plain,
( ~ sQ110_spl
| ~ sQ15_spl
| e3 = op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f919,f1339]) ).
fof(f3003,plain,
( ~ sQ110_spl
| ~ sQ15_spl
| ~ sQ49_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f1030,f3002]) ).
fof(f3004,plain,
( ~ sQ110_spl
| ~ sQ15_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3003,f130]) ).
fof(f3005,plain,
( ~ sQ110_spl
| ~ sQ15_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f3004]) ).
fof(f3006,plain,
( sQ85_spl
| ~ sQ41_spl
| ~ sQ39_spl
| e0 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f997,f2370]) ).
fof(f3010,plain,
( ~ sQ39_spl
| op(e1,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f997,f87]) ).
fof(f3016,plain,
( sQ83_spl
| ~ sQ41_spl
| ~ sQ39_spl
| e3 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f997,f2832]) ).
fof(f3017,plain,
( sQ83_spl
| ~ sQ41_spl
| ~ sQ39_spl
| ~ sQ59_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f1062,f3016]) ).
fof(f3018,plain,
( sQ83_spl
| ~ sQ41_spl
| ~ sQ39_spl
| ~ sQ59_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3017]) ).
fof(f3019,plain,
( sQ83_spl
| ~ sQ41_spl
| ~ sQ39_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f3018]) ).
fof(f3021,plain,
( ~ sQ7_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f2115,f996,f892]) ).
fof(f3025,plain,
( ~ sQ169_spl
| ~ sQ19_spl
| op(e0,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f932,f1756]) ).
fof(f3046,plain,
( ~ sQ54_spl
| ~ sQ52_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f1040,f1046]) ).
fof(f3047,plain,
( ~ sQ54_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3046,f127]) ).
fof(f3048,plain,
( ~ sQ54_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f3047]) ).
fof(f3051,plain,
( ~ sQ62_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f2813,f1019,f1071]) ).
fof(f3055,plain,
( sQ75_spl
| ~ sQ20_spl
| ~ sQ19_spl
| e2 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f932,f2847]) ).
fof(f3062,plain,
( ~ sQ25_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f2195,f964,f951]) ).
fof(f3063,plain,
( ~ sQ110_spl
| ~ sQ15_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f3002,f1035,f918,f1338]) ).
fof(f3068,plain,
( ~ sQ25_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f2913,f1055,f951]) ).
fof(f3070,plain,
( ~ sQ62_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f2591,f1032,f1071]) ).
fof(f3071,plain,
( ~ sQ140_spl
| ~ sQ19_spl
| e3 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f932,f2576]) ).
fof(f3074,plain,
( ~ sQ140_spl
| ~ sQ8_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f897,f2573]) ).
fof(f3076,plain,
( ~ sQ140_spl
| ~ sQ8_spl
| e0 = op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f897,f1549]) ).
fof(f3077,plain,
( ~ sQ185_spl
| ~ sQ8_spl
| op(e2,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f897,f1866]) ).
fof(f3078,plain,
( ~ sQ185_spl
| ~ sQ8_spl
| ~ sQ32_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f975,f3077]) ).
fof(f3079,plain,
( ~ sQ185_spl
| ~ sQ8_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3078,f127]) ).
fof(f3080,plain,
( ~ sQ185_spl
| ~ sQ8_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f3079]) ).
fof(f3081,plain,
( sQ84_spl
| ~ sQ40_spl
| ~ sQ140_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f2641,f899,f1548,f1000,f1197]) ).
fof(f3082,plain,
( sQ33_spl
| ~ sQ140_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f2577,f899,f1548,f977]) ).
fof(f3087,plain,
( ~ sQ46_spl
| op(e2,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f1020,f119]) ).
fof(f3093,plain,
( ~ sQ46_spl
| op(e2,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f1020,f118]) ).
fof(f3096,plain,
( ~ sQ15_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f919,f104]) ).
fof(f3098,plain,
( ~ sQ15_spl
| e3 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f919,f98]) ).
fof(f3115,plain,
( sQ75_spl
| ~ sQ76_spl
| e2 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f1167,f1165]) ).
fof(f3135,plain,
( ~ sQ76_spl
| ~ sQ22_spl
| e3 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f2689,f113]) ).
fof(f3144,plain,
( sQ67_spl
| ~ sQ61_spl
| op(e3,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f1069,f1129]) ).
fof(f3145,plain,
( ~ sQ61_spl
| op(e3,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f1069,f125]) ).
fof(f3147,plain,
( sQ89_spl
| ~ sQ61_spl
| e2 != op(op(e3,e1),e3) ),
inference(backward_demodulation,[status(thm)],[f1069,f1220]) ).
fof(f3150,plain,
( sQ88_spl
| ~ sQ61_spl
| e2 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f1069,f1216]) ).
fof(f3152,plain,
( sQ67_spl
| ~ sQ61_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f3144,f1048,f1068,f1127]) ).
fof(f3156,plain,
( ~ sQ67_spl
| ~ sQ61_spl
| op(e3,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f1069,f1128]) ).
fof(f3186,plain,
( sQ110_spl
| ~ sQ15_spl
| e3 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f919,f1340]) ).
fof(f3191,plain,
( sQ81_spl
| ~ sQ40_spl
| ~ sQ35_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f984,f2634]) ).
fof(f3206,plain,
( ~ sQ35_spl
| e3 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f984,f114]) ).
fof(f3220,plain,
( ~ sQ69_spl
| ~ sQ2_spl
| ~ sQ9_spl
| e2 = op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f900,f2884]) ).
fof(f3225,plain,
( ~ sQ69_spl
| ~ sQ2_spl
| ~ sQ9_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f3220,f928,f899,f876,f1139]) ).
fof(f3226,plain,
( sQ71_spl
| ~ sQ2_spl
| ~ sQ9_spl
| e3 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f900,f2325]) ).
fof(f3227,plain,
( sQ73_spl
| ~ sQ2_spl
| ~ sQ9_spl
| e1 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f900,f2330]) ).
fof(f3230,plain,
( sQ197_spl
| ~ sQ2_spl
| op(e0,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f877,f1963]) ).
fof(f3242,plain,
( sQ169_spl
| ~ sQ4_spl
| e0 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f884,f1757]) ).
fof(f3288,plain,
( ~ sQ95_spl
| ~ sQ46_spl
| e2 = op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f1020,f1250]) ).
fof(f3292,plain,
( ~ sQ119_spl
| ~ sQ46_spl
| op(e3,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f1020,f1398]) ).
fof(f3293,plain,
( ~ sQ119_spl
| ~ sQ46_spl
| ~ sQ58_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f1059,f3292]) ).
fof(f3294,plain,
( ~ sQ119_spl
| ~ sQ46_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3293,f131]) ).
fof(f3295,plain,
( ~ sQ119_spl
| ~ sQ46_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f3294]) ).
fof(f3298,plain,
( ~ sQ97_spl
| ~ sQ58_spl
| op(e2,e2) = e2 ),
inference(forward_demodulation,[status(thm)],[f1059,f1258]) ).
fof(f3299,plain,
( ~ sQ97_spl
| ~ sQ58_spl
| ~ sQ40_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f1001,f3298]) ).
fof(f3300,plain,
( ~ sQ97_spl
| ~ sQ58_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3299,f127]) ).
fof(f3301,plain,
( ~ sQ97_spl
| ~ sQ58_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f3300]) ).
fof(f3311,plain,
( ~ sQ97_spl
| ~ sQ58_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f3298,f1006,f1058,f1257]) ).
fof(f3315,plain,
( ~ sQ95_spl
| ~ sQ46_spl
| op(e0,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f1020,f2473]) ).
fof(f3320,plain,
( ~ sQ58_spl
| op(e3,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f1059,f121]) ).
fof(f3322,plain,
( ~ sQ10_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f2698,f1058,f902]) ).
fof(f3323,plain,
( ~ sQ10_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f2696,f889,f902]) ).
fof(f3326,plain,
( sQ71_spl
| ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f3226,f931,f899,f876,f1146]) ).
fof(f3329,plain,
( ~ sQ4_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f2527,f1039,f883]) ).
fof(f3330,plain,
( sQ110_spl
| ~ sQ15_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f3186,f1035,f918,f1338]) ).
fof(f3337,plain,
( ~ sQ19_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f2956,f944,f931]) ).
fof(f3339,plain,
( ~ sQ19_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f2463,f1035,f931]) ).
fof(f3342,plain,
( ~ sQ52_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f2895,f1065,f1039]) ).
fof(f3344,plain,
( sQ88_spl
| ~ sQ61_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f3150,f1045,f1068,f1214]) ).
fof(f3345,plain,
( sQ78_spl
| ~ sQ20_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f2846,f928,f935,f1173]) ).
fof(f3346,plain,
( ~ sQ46_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f3087,f1006,f1019]) ).
fof(f3396,plain,
( sQ80_spl
| ~ sQ22_spl
| e0 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f942,f1183]) ).
fof(f3453,plain,
( ~ sQ75_spl
| ~ sQ22_spl
| e2 = op(op(e1,e2),e1) ),
inference(forward_demodulation,[status(thm)],[f942,f1164]) ).
fof(f3515,plain,
( sQ132_spl
| ~ sQ25_spl
| e1 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f952,f1496]) ).
fof(f3518,plain,
( sQ140_spl
| ~ sQ8_spl
| e0 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f897,f1550]) ).
fof(f3519,plain,
( sQ140_spl
| ~ sQ8_spl
| ~ sQ32_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f975,f3518]) ).
fof(f3520,plain,
( sQ140_spl
| ~ sQ8_spl
| ~ sQ32_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3519]) ).
fof(f3521,plain,
( sQ140_spl
| ~ sQ8_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f3520]) ).
fof(f3522,plain,
( ~ sQ132_spl
| ~ sQ25_spl
| e1 = op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f952,f1495]) ).
fof(f3537,plain,
( ~ sQ156_spl
| ~ sQ25_spl
| op(e2,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f952,f1659]) ).
fof(f3576,plain,
( ~ sQ39_spl
| ~ sQ132_spl
| ~ sQ25_spl
| e1 = e3 ),
inference(backward_demodulation,[status(thm)],[f3522,f997]) ).
fof(f3577,plain,
( ~ sQ39_spl
| ~ sQ132_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3576,f130]) ).
fof(f3578,plain,
( ~ sQ39_spl
| ~ sQ132_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f3577]) ).
fof(f3579,plain,
( ~ sQ149_spl
| ~ sQ28_spl
| op(e3,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f962,f1608]) ).
fof(f3580,plain,
( ~ sQ149_spl
| ~ sQ28_spl
| ~ sQ49_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f1030,f3579]) ).
fof(f3581,plain,
( ~ sQ149_spl
| ~ sQ28_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3580,f130]) ).
fof(f3582,plain,
( ~ sQ149_spl
| ~ sQ28_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f3581]) ).
fof(f3585,plain,
( ~ sQ142_spl
| ~ sQ32_spl
| op(e0,e0) = e0 ),
inference(forward_demodulation,[status(thm)],[f975,f1557]) ).
fof(f3590,plain,
( ~ sQ104_spl
| ~ sQ52_spl
| op(e1,e0) = e1 ),
inference(forward_demodulation,[status(thm)],[f1040,f1299]) ).
fof(f3592,plain,
( ~ sQ19_spl
| ~ sQ104_spl
| ~ sQ52_spl
| e1 = e3 ),
inference(backward_demodulation,[status(thm)],[f3590,f932]) ).
fof(f3593,plain,
( ~ sQ19_spl
| ~ sQ104_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3592,f130]) ).
fof(f3594,plain,
( ~ sQ19_spl
| ~ sQ104_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f3593]) ).
fof(f3603,plain,
( ~ sQ8_spl
| op(e0,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f897,f103]) ).
fof(f3604,plain,
( ~ sQ15_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f3096,f879,f918]) ).
fof(f3614,plain,
( sQ89_spl
| ~ sQ61_spl
| ~ sQ52_spl
| e2 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f1040,f3147]) ).
fof(f3616,plain,
( ~ sQ61_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f3145,f1055,f1068]) ).
fof(f3618,plain,
( sQ91_spl
| ~ sQ61_spl
| ~ sQ52_spl
| e0 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f1040,f2485]) ).
fof(f3620,plain,
( ~ sQ34_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f2724,f928,f980]) ).
fof(f3621,plain,
( ~ sQ140_spl
| ~ sQ34_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f2643,f902,f980,f1548]) ).
fof(f3622,plain,
( ~ sQ15_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f2925,f970,f918]) ).
fof(f3626,plain,
( ~ sQ140_spl
| ~ sQ8_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f3076,f974,f896,f1548]) ).
fof(f3629,plain,
( ~ sQ21_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f2498,f990,f938]) ).
fof(f3633,plain,
( ~ sQ140_spl
| ~ sQ8_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f3074,f1013,f896,f1548]) ).
fof(f3649,plain,
( ~ sQ58_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f3320,f1032,f1058]) ).
fof(f3650,plain,
( ~ sQ132_spl
| ~ sQ25_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f3522,f990,f951,f1494]) ).
fof(f3651,plain,
( sQ75_spl
| ~ sQ20_spl
| ~ sQ19_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f3055,f1045,f931,f935,f1163]) ).
fof(f3652,plain,
( sQ75_spl
| ~ sQ76_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f3115,f1045,f1166,f1163]) ).
fof(f3653,plain,
( sQ35_spl
| ~ sQ140_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f2596,f905,f1548,f983]) ).
fof(f3654,plain,
( ~ sQ140_spl
| ~ sQ19_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f3071,f905,f931,f1548]) ).
fof(f3656,plain,
( ~ sQ50_spl
| e2 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f1033,f120]) ).
fof(f3664,plain,
( ~ sQ50_spl
| op(e1,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f1033,f82]) ).
fof(f3672,plain,
( sQ169_spl
| ~ sQ19_spl
| op(e0,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f932,f1757]) ).
fof(f3678,plain,
( sQ72_spl
| ~ sQ1_spl
| e2 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f874,f1151]) ).
fof(f3679,plain,
( sQ69_spl
| ~ sQ1_spl
| e2 != op(op(e0,e1),e0) ),
inference(backward_demodulation,[status(thm)],[f874,f1141]) ).
fof(f3704,plain,
( ~ sQ67_spl
| ~ sQ61_spl
| op(e1,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f3156,f88]) ).
fof(f3740,plain,
( sQ95_spl
| ~ sQ47_spl
| e3 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f1023,f1251]) ).
fof(f3749,plain,
( ~ sQ21_spl
| op(e0,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f939,f84]) ).
fof(f3758,plain,
( ~ sQ110_spl
| ~ sQ50_spl
| op(e0,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f3760,f106]) ).
fof(f3760,plain,
( ~ sQ110_spl
| ~ sQ50_spl
| op(e0,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f1033,f1339]) ).
fof(f3816,plain,
( sQ140_spl
| ~ sQ11_spl
| e3 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f906,f1550]) ).
fof(f3818,plain,
( ~ sQ178_spl
| ~ sQ110_spl
| ~ sQ50_spl
| op(e3,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f3760,f1815]) ).
fof(f3819,plain,
( ~ sQ178_spl
| ~ sQ110_spl
| ~ sQ50_spl
| ~ sQ56_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f1053,f3818]) ).
fof(f3820,plain,
( ~ sQ178_spl
| ~ sQ110_spl
| ~ sQ50_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3819,f128]) ).
fof(f3821,plain,
( ~ sQ178_spl
| ~ sQ110_spl
| ~ sQ50_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f3820]) ).
fof(f3822,plain,
( ~ sQ132_spl
| ~ sQ26_spl
| e2 = op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f955,f1495]) ).
fof(f3825,plain,
( ~ sQ156_spl
| ~ sQ26_spl
| op(e2,e2) = e2 ),
inference(forward_demodulation,[status(thm)],[f955,f1659]) ).
fof(f3826,plain,
( ~ sQ156_spl
| ~ sQ26_spl
| ~ sQ41_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f1004,f3825]) ).
fof(f3827,plain,
( ~ sQ156_spl
| ~ sQ26_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3826,f129]) ).
fof(f3828,plain,
( ~ sQ156_spl
| ~ sQ26_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f3827]) ).
fof(f3829,plain,
( ~ sQ4_spl
| e0 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f884,f106]) ).
fof(f3830,plain,
( sQ110_spl
| ~ sQ50_spl
| op(e0,e3) != e2 ),
inference(forward_demodulation,[status(thm)],[f1033,f1340]) ).
fof(f3833,plain,
( ~ sQ134_spl
| ~ sQ38_spl
| op(e1,e2) = e1 ),
inference(forward_demodulation,[status(thm)],[f994,f1503]) ).
fof(f3854,plain,
( sQ110_spl
| ~ sQ50_spl
| ~ sQ14_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f916,f3830]) ).
fof(f3855,plain,
( sQ110_spl
| ~ sQ50_spl
| ~ sQ14_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3854]) ).
fof(f3856,plain,
( sQ110_spl
| ~ sQ50_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f3855]) ).
fof(f3857,plain,
( sQ178_spl
| ~ sQ14_spl
| op(e3,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f916,f1816]) ).
fof(f3859,plain,
( ~ sQ26_spl
| ~ sQ134_spl
| ~ sQ38_spl
| e1 = e2 ),
inference(backward_demodulation,[status(thm)],[f3833,f955]) ).
fof(f3860,plain,
( ~ sQ26_spl
| ~ sQ134_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3859,f129]) ).
fof(f3861,plain,
( ~ sQ26_spl
| ~ sQ134_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f3860]) ).
fof(f3862,plain,
( sQ134_spl
| ~ sQ38_spl
| op(e1,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f994,f1504]) ).
fof(f3865,plain,
( ~ sQ112_spl
| ~ sQ50_spl
| op(e0,e2) = e0 ),
inference(forward_demodulation,[status(thm)],[f1033,f1347]) ).
fof(f3867,plain,
( ~ sQ11_spl
| ~ sQ112_spl
| ~ sQ50_spl
| e0 = e3 ),
inference(backward_demodulation,[status(thm)],[f3865,f906]) ).
fof(f3868,plain,
( ~ sQ11_spl
| ~ sQ112_spl
| ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3867,f128]) ).
fof(f3869,plain,
( ~ sQ11_spl
| ~ sQ112_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f3868]) ).
fof(f3875,plain,
( sQ169_spl
| ~ sQ4_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f3242,f922,f883,f1755]) ).
fof(f3894,plain,
( ~ sQ55_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f2476,f944,f1048]) ).
fof(f3895,plain,
( ~ sQ67_spl
| ~ sQ61_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f3704,f944,f1068,f1127]) ).
fof(f3896,plain,
( ~ sQ23_spl
| ~ sQ21_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f939,f945]) ).
fof(f3897,plain,
( ~ sQ23_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3896,f130]) ).
fof(f3898,plain,
( ~ sQ23_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f3897]) ).
fof(f3902,plain,
( ~ sQ35_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f3206,f996,f983]) ).
fof(f3906,plain,
( ~ sQ22_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f2960,f1045,f941]) ).
fof(f3919,plain,
( sQ132_spl
| ~ sQ25_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f3515,f990,f951,f1494]) ).
fof(f3924,plain,
( ~ sQ63_spl
| ~ sQ61_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f1069,f1075]) ).
fof(f3925,plain,
( ~ sQ63_spl
| ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3924,f130]) ).
fof(f3926,plain,
( ~ sQ63_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f3925]) ).
fof(f3927,plain,
( sQ112_spl
| ~ sQ50_spl
| op(e0,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f1033,f1348]) ).
fof(f3929,plain,
( ~ sQ50_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f3656,f1045,f1032]) ).
fof(f3931,plain,
( sQ81_spl
| ~ sQ40_spl
| ~ sQ35_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f3191,f1055,f983,f1000,f1187]) ).
fof(f3932,plain,
( ~ sQ40_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f2639,f987,f1000]) ).
fof(f3933,plain,
( ~ sQ110_spl
| ~ sQ50_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f3758,f889,f1032,f1338]) ).
fof(f3934,plain,
( ~ sQ6_spl
| ~ sQ4_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f884,f890]) ).
fof(f3935,plain,
( ~ sQ6_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3934,f127]) ).
fof(f3936,plain,
( ~ sQ6_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f3935]) ).
fof(f3937,plain,
( sQ80_spl
| ~ sQ22_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f3396,f948,f941,f1181]) ).
fof(f3949,plain,
( ~ sQ12_spl
| e0 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f910,f98]) ).
fof(f3973,plain,
( sQ85_spl
| ~ sQ43_spl
| e0 != op(op(e2,e3),e2) ),
inference(backward_demodulation,[status(thm)],[f1010,f1203]) ).
fof(f3998,plain,
( ~ sQ110_spl
| ~ sQ12_spl
| e0 = op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f910,f1339]) ).
fof(f4003,plain,
( sQ48_spl
| ~ sQ110_spl
| ~ sQ12_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f3998,f1028]) ).
fof(f4004,plain,
( sQ48_spl
| ~ sQ110_spl
| ~ sQ12_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4003]) ).
fof(f4005,plain,
( sQ48_spl
| ~ sQ110_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f4004]) ).
fof(f4006,plain,
( sQ110_spl
| ~ sQ12_spl
| e0 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f910,f1340]) ).
fof(f4012,plain,
( ~ sQ95_spl
| ~ sQ46_spl
| op(e3,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f1020,f2533]) ).
fof(f4027,plain,
( sQ140_spl
| ~ sQ9_spl
| e1 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f900,f1550]) ).
fof(f4080,plain,
( ~ sQ63_spl
| op(e3,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f1075,f124]) ).
fof(f4081,plain,
( ~ sQ63_spl
| op(e1,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f1075,f100]) ).
fof(f4131,plain,
( ~ sQ75_spl
| ~ sQ22_spl
| ~ sQ24_spl
| e2 = op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f949,f3453]) ).
fof(f4134,plain,
( ~ sQ75_spl
| ~ sQ22_spl
| ~ sQ24_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f4131,f889,f948,f941,f1163]) ).
fof(f4147,plain,
( ~ sQ192_spl
| ~ sQ169_spl
| ~ sQ19_spl
| op(e1,e3) = e1 ),
inference(forward_demodulation,[status(thm)],[f3025,f1917]) ).
fof(f4151,plain,
( sQ74_spl
| ~ sQ2_spl
| e1 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f877,f1159]) ).
fof(f4152,plain,
( sQ74_spl
| ~ sQ2_spl
| ~ sQ9_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f900,f4151]) ).
fof(f4153,plain,
( sQ74_spl
| ~ sQ2_spl
| ~ sQ9_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4152]) ).
fof(f4154,plain,
( sQ74_spl
| ~ sQ2_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f4153]) ).
fof(f4160,plain,
( sQ169_spl
| ~ sQ19_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f3672,f892,f931,f1755]) ).
fof(f4177,plain,
( ~ sQ95_spl
| op(e0,e2) != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f1250,f92]) ).
fof(f4258,plain,
( ~ sQ36_spl
| op(e0,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f988,f85]) ).
fof(f4260,plain,
( ~ sQ53_spl
| op(e1,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f1043,f88]) ).
fof(f4275,plain,
( sQ72_spl
| ~ sQ3_spl
| e2 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f880,f1151]) ).
fof(f4278,plain,
( sQ69_spl
| ~ sQ3_spl
| ~ sQ13_spl
| e2 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f913,f2631]) ).
fof(f4282,plain,
( ~ sQ33_spl
| op(e1,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f978,f81]) ).
fof(f4308,plain,
( sQ89_spl
| ~ sQ60_spl
| e2 != op(op(e3,e0),e3) ),
inference(forward_demodulation,[status(thm)],[f1066,f1220]) ).
fof(f4320,plain,
( sQ149_spl
| ~ sQ30_spl
| op(e3,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f968,f1609]) ).
fof(f4321,plain,
( sQ149_spl
| ~ sQ30_spl
| ~ sQ59_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f1062,f4320]) ).
fof(f4322,plain,
( sQ149_spl
| ~ sQ30_spl
| ~ sQ59_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4321]) ).
fof(f4323,plain,
( sQ149_spl
| ~ sQ30_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f4322]) ).
fof(f4340,plain,
( ~ sQ149_spl
| ~ sQ30_spl
| op(e3,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f968,f1608]) ).
fof(f4341,plain,
( ~ sQ102_spl
| ~ sQ30_spl
| e2 = op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f968,f1291]) ).
fof(f4342,plain,
( ~ sQ102_spl
| ~ sQ30_spl
| ~ sQ53_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f1043,f4341]) ).
fof(f4343,plain,
( ~ sQ102_spl
| ~ sQ30_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4342,f129]) ).
fof(f4344,plain,
( ~ sQ102_spl
| ~ sQ30_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f4343]) ).
fof(f4350,plain,
( ~ sQ95_spl
| ~ sQ8_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f897,f4177]) ).
fof(f4358,plain,
( ~ sQ97_spl
| ~ sQ95_spl
| ~ sQ47_spl
| op(e2,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f1023,f2475]) ).
fof(f4359,plain,
( ~ sQ97_spl
| ~ sQ59_spl
| op(e2,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f1062,f1258]) ).
fof(f4364,plain,
( sQ88_spl
| ~ sQ60_spl
| e2 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f1066,f1216]) ).
fof(f4365,plain,
( sQ88_spl
| ~ sQ60_spl
| ~ sQ50_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f1033,f4364]) ).
fof(f4366,plain,
( sQ88_spl
| ~ sQ60_spl
| ~ sQ50_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4365]) ).
fof(f4367,plain,
( sQ88_spl
| ~ sQ60_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f4366]) ).
fof(f4369,plain,
( sQ87_spl
| ~ sQ60_spl
| e1 != op(op(e3,e0),e3) ),
inference(forward_demodulation,[status(thm)],[f1066,f1213]) ).
fof(f4372,plain,
( sQ78_spl
| ~ sQ23_spl
| e2 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f945,f1175]) ).
fof(f4373,plain,
( sQ78_spl
| ~ sQ23_spl
| ~ sQ30_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f968,f4372]) ).
fof(f4374,plain,
( sQ78_spl
| ~ sQ23_spl
| ~ sQ30_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4373]) ).
fof(f4375,plain,
( sQ78_spl
| ~ sQ23_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f4374]) ).
fof(f4378,plain,
( ~ sQ95_spl
| ~ sQ46_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f3288,f1058,f1019,f1249]) ).
fof(f4380,plain,
( ~ sQ95_spl
| ~ sQ46_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f4012,f1045,f1019,f1249]) ).
fof(f4382,plain,
( ~ sQ119_spl
| ~ sQ46_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f3292,f1061,f1019,f1397]) ).
fof(f4387,plain,
( ~ sQ63_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f4080,f1048,f1074]) ).
fof(f4390,plain,
( ~ sQ21_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f2500,f964,f938]) ).
fof(f4392,plain,
( ~ sQ21_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f3749,f886,f938]) ).
fof(f4401,plain,
( ~ sQ36_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f4258,f883,f987]) ).
fof(f4402,plain,
( ~ sQ4_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f3829,f909,f883]) ).
fof(f4411,plain,
( ~ sQ63_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f4081,f970,f1074]) ).
fof(f4412,plain,
( ~ sQ95_spl
| ~ sQ46_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f3315,f902,f1019,f1249]) ).
fof(f4422,plain,
( sQ110_spl
| ~ sQ12_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f4006,f1026,f909,f1338]) ).
fof(f4427,plain,
( sQ102_spl
| ~ sQ55_spl
| op(e1,e3) != e3 ),
inference(forward_demodulation,[status(thm)],[f1049,f1292]) ).
fof(f4482,plain,
( ~ sQ95_spl
| ~ sQ92_spl
| ~ sQ62_spl
| op(e2,e3) = e0 ),
inference(backward_demodulation,[status(thm)],[f2810,f1250]) ).
fof(f4483,plain,
( sQ87_spl
| ~ sQ62_spl
| ~ sQ92_spl
| e1 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f2810,f2989]) ).
fof(f4521,plain,
( sQ70_spl
| ~ sQ2_spl
| e3 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f877,f1144]) ).
fof(f4633,plain,
( sQ119_spl
| ~ sQ44_spl
| op(e3,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f1014,f1399]) ).
fof(f4636,plain,
( ~ sQ35_spl
| ~ sQ97_spl
| ~ sQ92_spl
| ~ sQ62_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f4637,f984]) ).
fof(f4637,plain,
( ~ sQ97_spl
| ~ sQ92_spl
| ~ sQ62_spl
| op(e2,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f2810,f1258]) ).
fof(f4638,plain,
( ~ sQ35_spl
| ~ sQ97_spl
| ~ sQ92_spl
| ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4636,f131]) ).
fof(f4639,plain,
( ~ sQ35_spl
| ~ sQ97_spl
| ~ sQ92_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f4638]) ).
fof(f4640,plain,
( ~ sQ15_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f3098,f1074,f918]) ).
fof(f4664,plain,
( sQ87_spl
| ~ sQ60_spl
| ~ sQ49_spl
| e1 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f1030,f4369]) ).
fof(f4665,plain,
( sQ87_spl
| ~ sQ60_spl
| ~ sQ49_spl
| ~ sQ29_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f965,f4664]) ).
fof(f4666,plain,
( sQ87_spl
| ~ sQ60_spl
| ~ sQ49_spl
| ~ sQ29_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4665]) ).
fof(f4667,plain,
( sQ87_spl
| ~ sQ60_spl
| ~ sQ49_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f4666]) ).
fof(f4668,plain,
( sQ163_spl
| ~ sQ20_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f2848,f925,f935,f1709]) ).
fof(f4669,plain,
( sQ102_spl
| ~ sQ55_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f4427,f970,f1048,f1290]) ).
fof(f4670,plain,
( ~ sQ132_spl
| ~ sQ26_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f3822,f993,f954,f1494]) ).
fof(f4702,plain,
( sQ69_spl
| ~ sQ74_spl
| e2 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f1158,f1141]) ).
fof(f4773,plain,
( ~ sQ26_spl
| op(e1,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f955,f109]) ).
fof(f4803,plain,
( sQ85_spl
| ~ sQ43_spl
| ~ sQ44_spl
| e0 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f1014,f3973]) ).
fof(f4806,plain,
( sQ85_spl
| ~ sQ43_spl
| ~ sQ44_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f4803,f896,f1013,f1009,f1201]) ).
fof(f4850,plain,
( sQ81_spl
| ~ sQ43_spl
| e1 != op(op(e2,e3),e2) ),
inference(forward_demodulation,[status(thm)],[f1010,f1189]) ).
fof(f4851,plain,
( sQ81_spl
| ~ sQ43_spl
| ~ sQ44_spl
| e1 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f1014,f4850]) ).
fof(f4866,plain,
( sQ132_spl
| ~ sQ26_spl
| e2 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f955,f1496]) ).
fof(f4870,plain,
( ~ sQ31_spl
| ~ sQ104_spl
| ~ sQ55_spl
| e1 = e3 ),
inference(backward_demodulation,[status(thm)],[f4871,f971]) ).
fof(f4871,plain,
( ~ sQ104_spl
| ~ sQ55_spl
| op(e1,e3) = e1 ),
inference(forward_demodulation,[status(thm)],[f1049,f1299]) ).
fof(f4872,plain,
( ~ sQ31_spl
| ~ sQ104_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4870,f130]) ).
fof(f4873,plain,
( ~ sQ31_spl
| ~ sQ104_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f4872]) ).
fof(f4877,plain,
( ~ sQ102_spl
| ~ sQ55_spl
| op(e1,e3) = e3 ),
inference(forward_demodulation,[status(thm)],[f1049,f1291]) ).
fof(f4900,plain,
( ~ sQ149_spl
| ~ sQ102_spl
| ~ sQ55_spl
| op(e3,e3) = e3 ),
inference(forward_demodulation,[status(thm)],[f4877,f1608]) ).
fof(f4901,plain,
( ~ sQ149_spl
| ~ sQ102_spl
| ~ sQ55_spl
| ~ sQ62_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f1072,f4900]) ).
fof(f4902,plain,
( ~ sQ149_spl
| ~ sQ102_spl
| ~ sQ55_spl
| ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4901,f131]) ).
fof(f4903,plain,
( ~ sQ149_spl
| ~ sQ102_spl
| ~ sQ55_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f4902]) ).
fof(f4923,plain,
( ~ sQ17_spl
| e1 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f926,f108]) ).
fof(f4942,plain,
( sQ169_spl
| ~ sQ17_spl
| op(e0,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f926,f1757]) ).
fof(f4944,plain,
( sQ70_spl
| ~ sQ2_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f4521,f905,f876,f1142]) ).
fof(f4947,plain,
( sQ140_spl
| ~ sQ11_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f3816,f983,f905,f1548]) ).
fof(f4955,plain,
( ~ sQ102_spl
| ~ sQ55_spl
| op(e1,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f4877,f113]) ).
fof(f4963,plain,
( ~ sQ132_spl
| ~ sQ37_spl
| op(e1,e2) = e1 ),
inference(forward_demodulation,[status(thm)],[f991,f1495]) ).
fof(f4972,plain,
( ~ sQ134_spl
| ~ sQ37_spl
| op(e1,e1) = e1 ),
inference(forward_demodulation,[status(thm)],[f991,f1503]) ).
fof(f5009,plain,
( ~ sQ69_spl
| ~ sQ2_spl
| ~ sQ11_spl
| e2 = op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f906,f2884]) ).
fof(f5011,plain,
( ~ sQ69_spl
| ~ sQ2_spl
| ~ sQ11_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f5009,f1032,f905,f876,f1139]) ).
fof(f5048,plain,
( sQ77_spl
| ~ sQ22_spl
| ~ sQ24_spl
| e3 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f949,f2612]) ).
fof(f5056,plain,
( ~ sQ132_spl
| ~ sQ37_spl
| ~ sQ24_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f949,f4963]) ).
fof(f5057,plain,
( ~ sQ132_spl
| ~ sQ37_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5056,f126]) ).
fof(f5058,plain,
( ~ sQ132_spl
| ~ sQ37_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f5057]) ).
fof(f5061,plain,
( ~ sQ185_spl
| ~ sQ11_spl
| op(e2,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f906,f1866]) ).
fof(f5062,plain,
( ~ sQ185_spl
| ~ sQ11_spl
| ~ sQ44_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f1014,f5061]) ).
fof(f5063,plain,
( ~ sQ185_spl
| ~ sQ11_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5062,f127]) ).
fof(f5064,plain,
( ~ sQ185_spl
| ~ sQ11_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f5063]) ).
fof(f5067,plain,
( ~ sQ142_spl
| ~ sQ35_spl
| op(e0,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f984,f1557]) ).
fof(f5085,plain,
( sQ73_spl
| ~ sQ2_spl
| ~ sQ11_spl
| e1 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f906,f2330]) ).
fof(f5087,plain,
( ~ sQ13_spl
| ~ sQ142_spl
| ~ sQ35_spl
| e0 = e1 ),
inference(backward_demodulation,[status(thm)],[f5067,f913]) ).
fof(f5088,plain,
( ~ sQ13_spl
| ~ sQ142_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5087,f126]) ).
fof(f5089,plain,
( ~ sQ13_spl
| ~ sQ142_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f5088]) ).
fof(f5107,plain,
( ~ sQ132_spl
| ~ sQ24_spl
| e0 = op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f949,f1495]) ).
fof(f5128,plain,
( sQ69_spl
| ~ sQ3_spl
| ~ sQ13_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f4278,f928,f912,f879,f1139]) ).
fof(f5130,plain,
( sQ69_spl
| ~ sQ74_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f4702,f928,f1157,f1139]) ).
fof(f5131,plain,
( ~ sQ156_spl
| ~ sQ24_spl
| op(e2,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f949,f1659]) ).
fof(f5132,plain,
( ~ sQ8_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f2905,f1052,f896]) ).
fof(f5160,plain,
( ~ sQ97_spl
| ~ sQ95_spl
| ~ sQ44_spl
| op(e2,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f1014,f2475]) ).
fof(f5175,plain,
( ~ sQ95_spl
| ~ sQ8_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f4350,f1013,f896,f1249]) ).
fof(f5181,plain,
( ~ sQ50_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f3664,f928,f1032]) ).
fof(f5183,plain,
( sQ112_spl
| ~ sQ50_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f3927,f896,f1032,f1346]) ).
fof(f5185,plain,
( sQ132_spl
| ~ sQ26_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f4866,f993,f954,f1494]) ).
fof(f5186,plain,
( ~ sQ26_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f4773,f928,f954]) ).
fof(f5190,plain,
( ~ sQ8_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f3603,f870,f896]) ).
fof(f5192,plain,
( sQ134_spl
| ~ sQ38_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f3862,f951,f993,f1502]) ).
fof(f5203,plain,
( ~ sQ76_spl
| ~ sQ22_spl
| ~ sQ102_spl
| ~ sQ55_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f4877,f3135]) ).
fof(f5204,plain,
( ~ sQ76_spl
| ~ sQ22_spl
| ~ sQ102_spl
| ~ sQ55_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5203]) ).
fof(f5205,plain,
( ~ sQ76_spl
| ~ sQ22_spl
| ~ sQ102_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f5204]) ).
fof(f5310,plain,
( ~ sQ140_spl
| ~ sQ10_spl
| e2 = op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f903,f1549]) ).
fof(f5320,plain,
( ~ sQ140_spl
| ~ sQ10_spl
| op(e1,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f903,f2576]) ).
fof(f5345,plain,
( ~ sQ86_spl
| ~ sQ41_spl
| e0 = op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f1004,f1206]) ).
fof(f5347,plain,
( sQ87_spl
| ~ sQ62_spl
| e1 != op(op(e3,e2),e3) ),
inference(forward_demodulation,[status(thm)],[f1072,f1213]) ).
fof(f5348,plain,
( sQ87_spl
| ~ sQ62_spl
| ~ sQ56_spl
| e1 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f1053,f5347]) ).
fof(f5350,plain,
( sQ83_spl
| ~ sQ41_spl
| e3 != op(op(e2,e1),e2) ),
inference(forward_demodulation,[status(thm)],[f1004,f1196]) ).
fof(f5351,plain,
( sQ83_spl
| ~ sQ41_spl
| ~ sQ36_spl
| e3 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f988,f5350]) ).
fof(f5382,plain,
( ~ sQ149_spl
| ~ sQ29_spl
| op(e0,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f5385,f86]) ).
fof(f5385,plain,
( ~ sQ149_spl
| ~ sQ29_spl
| op(e3,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f965,f1608]) ).
fof(f5386,plain,
( ~ sQ149_spl
| ~ sQ29_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f5382,f892,f964,f1607]) ).
fof(f5387,plain,
( sQ149_spl
| ~ sQ29_spl
| op(e3,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f965,f1609]) ).
fof(f5389,plain,
( ~ sQ102_spl
| ~ sQ29_spl
| e1 = op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f965,f1291]) ).
fof(f5393,plain,
( ~ sQ102_spl
| ~ sQ29_spl
| op(e3,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f5389,f120]) ).
fof(f5424,plain,
( sQ70_spl
| ~ sQ1_spl
| e3 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f874,f1144]) ).
fof(f5425,plain,
( sQ70_spl
| ~ sQ1_spl
| ~ sQ7_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f893,f5424]) ).
fof(f5426,plain,
( sQ70_spl
| ~ sQ1_spl
| ~ sQ7_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5425]) ).
fof(f5427,plain,
( sQ70_spl
| ~ sQ1_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f5426]) ).
fof(f5458,plain,
( ~ sQ22_spl
| ~ sQ104_spl
| ~ sQ102_spl
| ~ sQ29_spl
| e1 = e2 ),
inference(backward_demodulation,[status(thm)],[f5459,f942]) ).
fof(f5459,plain,
( ~ sQ104_spl
| ~ sQ102_spl
| ~ sQ29_spl
| op(e1,e1) = e1 ),
inference(forward_demodulation,[status(thm)],[f5389,f1299]) ).
fof(f5460,plain,
( ~ sQ22_spl
| ~ sQ104_spl
| ~ sQ102_spl
| ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5458,f129]) ).
fof(f5461,plain,
( ~ sQ22_spl
| ~ sQ104_spl
| ~ sQ102_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f5460]) ).
fof(f5462,plain,
( ~ sQ53_spl
| ~ sQ104_spl
| ~ sQ102_spl
| ~ sQ29_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f5459,f4260]) ).
fof(f5463,plain,
( ~ sQ53_spl
| ~ sQ104_spl
| ~ sQ102_spl
| ~ sQ29_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5462]) ).
fof(f5464,plain,
( ~ sQ53_spl
| ~ sQ104_spl
| ~ sQ102_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f5463]) ).
fof(f5485,plain,
( sQ72_spl
| ~ sQ1_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f3678,f889,f873,f1149]) ).
fof(f5507,plain,
( sQ83_spl
| ~ sQ41_spl
| ~ sQ36_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f5351,f905,f987,f1003,f1194]) ).
fof(f5513,plain,
( ~ sQ149_spl
| ~ sQ29_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f5385,f1048,f964,f1607]) ).
fof(f5528,plain,
( sQ91_spl
| ~ sQ61_spl
| ~ sQ52_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f3618,f909,f1039,f1068,f1225]) ).
fof(f5540,plain,
( ~ sQ102_spl
| ~ sQ30_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f4341,f1045,f967,f1290]) ).
fof(f5550,plain,
( ~ sQ104_spl
| ~ sQ52_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f3590,f925,f1039,f1298]) ).
fof(f5557,plain,
( sQ71_spl
| ~ sQ1_spl
| e3 != op(op(e0,e1),e0) ),
inference(forward_demodulation,[status(thm)],[f874,f1148]) ).
fof(f5559,plain,
( ~ sQ156_spl
| ~ sQ25_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f3537,f993,f951,f1658]) ).
fof(f5560,plain,
( ~ sQ134_spl
| ~ sQ37_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f4972,f938,f990,f1502]) ).
fof(f5585,plain,
( sQ82_spl
| ~ sQ41_spl
| e3 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f1004,f1192]) ).
fof(f5601,plain,
( sQ71_spl
| ~ sQ1_spl
| ~ sQ7_spl
| e3 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f893,f5557]) ).
fof(f5606,plain,
( sQ69_spl
| ~ sQ1_spl
| ~ sQ7_spl
| e2 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f893,f3679]) ).
fof(f5608,plain,
( sQ71_spl
| ~ sQ1_spl
| ~ sQ7_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f5601,f1035,f892,f873,f1146]) ).
fof(f5628,plain,
( ~ sQ104_spl
| ~ sQ54_spl
| op(e1,e2) = e1 ),
inference(backward_demodulation,[status(thm)],[f1046,f1299]) ).
fof(f5634,plain,
( ~ sQ104_spl
| ~ sQ54_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f5628,f951,f1045,f1298]) ).
fof(f5638,plain,
( ~ sQ149_spl
| ~ sQ30_spl
| op(e3,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f968,f1608]) ).
fof(f5639,plain,
( ~ sQ149_spl
| ~ sQ30_spl
| sQ95_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5638,f3740]) ).
fof(f5640,plain,
( ~ sQ149_spl
| ~ sQ30_spl
| sQ95_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f5639]) ).
fof(f5645,plain,
( sQ77_spl
| ~ sQ22_spl
| ~ sQ24_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f5048,f892,f948,f941,f1170]) ).
fof(f5670,plain,
( ~ sQ110_spl
| ~ sQ51_spl
| op(e0,e3) = e3 ),
inference(forward_demodulation,[status(thm)],[f1036,f1339]) ).
fof(f5672,plain,
( ~ sQ0_spl
| e0 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f871,f104]) ).
fof(f5837,plain,
( ~ sQ30_spl
| ~ sQ134_spl
| ~ sQ132_spl
| ~ sQ27_spl
| e1 = e2 ),
inference(backward_demodulation,[status(thm)],[f5838,f968]) ).
fof(f5838,plain,
( ~ sQ134_spl
| ~ sQ132_spl
| ~ sQ27_spl
| op(e1,e3) = e1 ),
inference(forward_demodulation,[status(thm)],[f2774,f1503]) ).
fof(f5839,plain,
( ~ sQ30_spl
| ~ sQ134_spl
| ~ sQ132_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5837,f129]) ).
fof(f5840,plain,
( ~ sQ30_spl
| ~ sQ134_spl
| ~ sQ132_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f5839]) ).
fof(f5845,plain,
( sQ132_spl
| ~ sQ27_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f2730,f996,f957,f1494]) ).
fof(f5848,plain,
( ~ sQ112_spl
| ~ sQ51_spl
| op(e0,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f1036,f1347]) ).
fof(f5870,plain,
( ~ sQ15_spl
| ~ sQ112_spl
| ~ sQ51_spl
| e0 = e3 ),
inference(backward_demodulation,[status(thm)],[f5848,f919]) ).
fof(f5871,plain,
( ~ sQ15_spl
| ~ sQ112_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5870,f128]) ).
fof(f5872,plain,
( ~ sQ15_spl
| ~ sQ112_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f5871]) ).
fof(f5891,plain,
( sQ85_spl
| ~ sQ43_spl
| ~ sQ45_spl
| e0 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f1017,f3973]) ).
fof(f5918,plain,
( ~ sQ24_spl
| sQ85_spl
| ~ sQ43_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f949,f5891]) ).
fof(f5919,plain,
( ~ sQ24_spl
| sQ85_spl
| ~ sQ43_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f5918]) ).
fof(f5920,plain,
( sQ84_spl
| ~ sQ43_spl
| e1 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f1010,f1199]) ).
fof(f5921,plain,
( sQ84_spl
| ~ sQ43_spl
| ~ sQ45_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f1017,f5920]) ).
fof(f5922,plain,
( sQ84_spl
| ~ sQ43_spl
| ~ sQ45_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5921]) ).
fof(f5923,plain,
( sQ84_spl
| ~ sQ43_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f5922]) ).
fof(f5928,plain,
( sQ134_spl
| ~ sQ132_spl
| op(e1,op(e1,e2)) != e1 ),
inference(forward_demodulation,[status(thm)],[f1495,f1504]) ).
fof(f5963,plain,
( sQ134_spl
| ~ sQ132_spl
| ~ sQ27_spl
| op(e1,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f958,f5928]) ).
fof(f5967,plain,
( ~ sQ178_spl
| ~ sQ15_spl
| op(e3,e3) = e3 ),
inference(forward_demodulation,[status(thm)],[f919,f1815]) ).
fof(f5968,plain,
( ~ sQ178_spl
| ~ sQ15_spl
| ~ sQ60_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f1066,f5967]) ).
fof(f5969,plain,
( ~ sQ178_spl
| ~ sQ15_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5968,f128]) ).
fof(f5970,plain,
( ~ sQ178_spl
| ~ sQ15_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f5969]) ).
fof(f5971,plain,
( ~ sQ156_spl
| ~ sQ27_spl
| op(e2,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f958,f1659]) ).
fof(f5972,plain,
( ~ sQ156_spl
| ~ sQ27_spl
| ~ sQ45_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f1017,f5971]) ).
fof(f5973,plain,
( ~ sQ156_spl
| ~ sQ27_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5972,f129]) ).
fof(f5974,plain,
( ~ sQ156_spl
| ~ sQ27_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f5973]) ).
fof(f5980,plain,
( sQ81_spl
| ~ sQ43_spl
| ~ sQ44_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f4851,f899,f1013,f1009,f1187]) ).
fof(f5982,plain,
( ~ sQ178_spl
| ~ sQ15_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f5967,f1074,f918,f1814]) ).
fof(f6002,plain,
( ~ sQ97_spl
| ~ sQ95_spl
| ~ sQ47_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f4358,f1019,f1022,f1249,f1257]) ).
fof(f6017,plain,
( ~ sQ97_spl
| ~ sQ59_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f4359,f1019,f1061,f1257]) ).
fof(f6021,plain,
( sQ178_spl
| ~ sQ14_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f3857,f1061,f915,f1814]) ).
fof(f6029,plain,
( sQ75_spl
| ~ sQ23_spl
| e2 != op(op(e1,e3),e1) ),
inference(backward_demodulation,[status(thm)],[f945,f1165]) ).
fof(f6044,plain,
( sQ79_spl
| ~ sQ23_spl
| e0 != op(op(e1,e3),e1) ),
inference(forward_demodulation,[status(thm)],[f945,f1179]) ).
fof(f6080,plain,
( sQ91_spl
| ~ sQ61_spl
| ~ sQ54_spl
| e0 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f1046,f2485]) ).
fof(f6101,plain,
( sQ79_spl
| ~ sQ23_spl
| ~ sQ28_spl
| e0 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f962,f6044]) ).
fof(f6103,plain,
( sQ79_spl
| ~ sQ23_spl
| ~ sQ28_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f6101,f883,f961,f944,f1177]) ).
fof(f6168,plain,
( sQ73_spl
| ~ sQ3_spl
| e1 != op(op(e0,e3),e0) ),
inference(forward_demodulation,[status(thm)],[f880,f1155]) ).
fof(f6169,plain,
( sQ73_spl
| ~ sQ3_spl
| ~ sQ14_spl
| e1 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f916,f6168]) ).
fof(f6178,plain,
( ~ sQ110_spl
| ~ sQ14_spl
| e2 = op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f916,f1339]) ).
fof(f6179,plain,
( ~ sQ110_spl
| ~ sQ14_spl
| ~ sQ48_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f1027,f6178]) ).
fof(f6180,plain,
( ~ sQ110_spl
| ~ sQ14_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6179,f127]) ).
fof(f6181,plain,
( ~ sQ110_spl
| ~ sQ14_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f6180]) ).
fof(f6210,plain,
( ~ sQ119_spl
| ~ sQ47_spl
| op(e3,e3) = e3 ),
inference(forward_demodulation,[status(thm)],[f1023,f1398]) ).
fof(f6211,plain,
( ~ sQ119_spl
| ~ sQ47_spl
| ~ sQ61_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f1069,f6210]) ).
fof(f6212,plain,
( ~ sQ119_spl
| ~ sQ47_spl
| ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6211,f130]) ).
fof(f6213,plain,
( ~ sQ119_spl
| ~ sQ47_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f6212]) ).
fof(f6234,plain,
( ~ sQ149_spl
| ~ sQ102_spl
| ~ sQ55_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f4900,f1074,f1048,f1290,f1607]) ).
fof(f6253,plain,
( ~ sQ87_spl
| ~ sQ61_spl
| e1 = op(op(e3,e1),e3) ),
inference(forward_demodulation,[status(thm)],[f1069,f1212]) ).
fof(f6261,plain,
( ~ sQ149_spl
| ~ sQ30_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f4340,f1061,f967,f1607]) ).
fof(f6283,plain,
( sQ82_spl
| ~ sQ41_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f5585,f996,f1003,f1190]) ).
fof(f6285,plain,
( sQ89_spl
| ~ sQ61_spl
| ~ sQ52_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f3614,f915,f1039,f1068,f1218]) ).
fof(f6286,plain,
( sQ169_spl
| ~ sQ17_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f4942,f886,f925,f1755]) ).
fof(f6349,plain,
( sQ77_spl
| ~ sQ20_spl
| e3 != op(op(e1,e0),e1) ),
inference(backward_demodulation,[status(thm)],[f936,f1172]) ).
fof(f6387,plain,
( sQ83_spl
| ~ sQ40_spl
| e3 != op(op(e2,e0),e2) ),
inference(backward_demodulation,[status(thm)],[f1001,f1196]) ).
fof(f6389,plain,
( sQ82_spl
| ~ sQ40_spl
| e3 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f1001,f1192]) ).
fof(f6430,plain,
( ~ sQ95_spl
| ~ sQ57_spl
| op(e2,e3) = e1 ),
inference(backward_demodulation,[status(thm)],[f1056,f1250]) ).
fof(f6432,plain,
( ~ sQ97_spl
| ~ sQ95_spl
| ~ sQ45_spl
| op(e2,e1) = e2 ),
inference(backward_demodulation,[status(thm)],[f1017,f2475]) ).
fof(f6436,plain,
( ~ sQ97_spl
| ~ sQ95_spl
| ~ sQ45_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f6432,f993,f1016,f1249,f1257]) ).
fof(f6441,plain,
( ~ sQ87_spl
| ~ sQ61_spl
| ~ sQ54_spl
| e1 = op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f1046,f6253]) ).
fof(f6445,plain,
( sQ91_spl
| ~ sQ61_spl
| ~ sQ54_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f6080,f1013,f1045,f1068,f1225]) ).
fof(f6460,plain,
( sQ85_spl
| ~ sQ41_spl
| ~ sQ39_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f3006,f1052,f996,f1003,f1201]) ).
fof(f6466,plain,
( sQ119_spl
| ~ sQ44_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f4633,f1035,f1013,f1397]) ).
fof(f6484,plain,
( sQ95_spl
| ~ sQ45_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f2999,f1055,f1016,f1249]) ).
fof(f6485,plain,
( ~ sQ102_spl
| ~ sQ31_spl
| e3 = op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f971,f1291]) ).
fof(f6486,plain,
( ~ sQ102_spl
| ~ sQ31_spl
| ~ sQ54_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f1046,f6485]) ).
fof(f6487,plain,
( ~ sQ102_spl
| ~ sQ31_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6486,f131]) ).
fof(f6488,plain,
( ~ sQ102_spl
| ~ sQ31_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f6487]) ).
fof(f6493,plain,
( ~ sQ110_spl
| ~ sQ14_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f6178,f1032,f915,f1338]) ).
fof(f6495,plain,
( ~ sQ110_spl
| ~ sQ51_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f5670,f918,f1035,f1338]) ).
fof(f6498,plain,
( ~ sQ112_spl
| ~ sQ51_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f5848,f909,f1035,f1346]) ).
fof(f6505,plain,
( ~ sQ12_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f3949,f1065,f909]) ).
fof(f6515,plain,
( sQ73_spl
| ~ sQ3_spl
| ~ sQ14_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f6169,f977,f915,f879,f1153]) ).
fof(f6517,plain,
( sQ140_spl
| ~ sQ9_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f4027,f977,f899,f1548]) ).
fof(f6523,plain,
( ~ sQ132_spl
| ~ sQ24_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f5107,f987,f948,f1494]) ).
fof(f6526,plain,
( ~ sQ134_spl
| ~ sQ38_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f3833,f951,f993,f1502]) ).
fof(f6530,plain,
( sQ72_spl
| ~ sQ3_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f4275,f915,f879,f1149]) ).
fof(f6531,plain,
( ~ sQ140_spl
| ~ sQ10_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f5320,f928,f902,f1548]) ).
fof(f6533,plain,
( ~ sQ140_spl
| ~ sQ10_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f2735,f993,f902,f1548]) ).
fof(f6535,plain,
( ~ sQ140_spl
| ~ sQ10_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f5310,f980,f902,f1548]) ).
fof(f6536,plain,
( ~ sQ142_spl
| ~ sQ32_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f3585,f870,f974,f1556]) ).
fof(f6537,plain,
( sQ73_spl
| ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f3227,f925,f899,f876,f1153]) ).
fof(f6538,plain,
( ~ sQ156_spl
| ~ sQ26_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f3825,f1006,f954,f1658]) ).
fof(f6539,plain,
( ~ sQ102_spl
| ~ sQ31_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f6485,f1048,f970,f1290]) ).
fof(f6549,plain,
( sQ86_spl
| ~ sQ43_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f1010,f1207]) ).
fof(f6550,plain,
( ~ sQ83_spl
| ~ sQ43_spl
| e3 = op(op(e2,e3),e2) ),
inference(forward_demodulation,[status(thm)],[f1010,f1195]) ).
fof(f6593,plain,
( sQ75_spl
| ~ sQ23_spl
| ~ sQ30_spl
| e2 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f968,f6029]) ).
fof(f6606,plain,
( ~ sQ44_spl
| sQ86_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1014,f6549]) ).
fof(f6607,plain,
( ~ sQ44_spl
| sQ86_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f6606]) ).
fof(f6608,plain,
( ~ sQ86_spl
| ~ sQ43_spl
| e0 = op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f1010,f1206]) ).
fof(f6639,plain,
( sQ169_spl
| ~ sQ6_spl
| e2 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f890,f1757]) ).
fof(f6668,plain,
( ~ sQ52_spl
| ~ sQ132_spl
| op(e1,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f1495,f2898]) ).
fof(f6680,plain,
( ~ sQ110_spl
| ~ sQ74_spl
| ~ sQ3_spl
| e1 = op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f2630,f1339]) ).
fof(f6750,plain,
( ~ sQ6_spl
| ~ sQ112_spl
| ~ sQ110_spl
| ~ sQ74_spl
| ~ sQ3_spl
| e0 = e2 ),
inference(backward_demodulation,[status(thm)],[f6751,f890]) ).
fof(f6751,plain,
( ~ sQ112_spl
| ~ sQ110_spl
| ~ sQ74_spl
| ~ sQ3_spl
| op(e0,e1) = e0 ),
inference(forward_demodulation,[status(thm)],[f6680,f1347]) ).
fof(f6752,plain,
( ~ sQ6_spl
| ~ sQ112_spl
| ~ sQ110_spl
| ~ sQ74_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6750,f127]) ).
fof(f6753,plain,
( ~ sQ6_spl
| ~ sQ112_spl
| ~ sQ110_spl
| ~ sQ74_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f6752]) ).
fof(f6755,plain,
( ~ sQ178_spl
| ~ sQ74_spl
| ~ sQ3_spl
| op(e3,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f2630,f1815]) ).
fof(f6756,plain,
( ~ sQ178_spl
| ~ sQ74_spl
| ~ sQ3_spl
| ~ sQ52_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f1040,f6755]) ).
fof(f6757,plain,
( ~ sQ178_spl
| ~ sQ74_spl
| ~ sQ3_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6756,f128]) ).
fof(f6758,plain,
( ~ sQ178_spl
| ~ sQ74_spl
| ~ sQ3_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f6757]) ).
fof(f6775,plain,
( ~ sQ63_spl
| op(e3,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f1075,f122]) ).
fof(f6821,plain,
( sQ102_spl
| ~ sQ29_spl
| e1 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f965,f1292]) ).
fof(f6826,plain,
( sQ102_spl
| ~ sQ29_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f6821,f1042,f964,f1290]) ).
fof(f6829,plain,
( ~ sQ102_spl
| ~ sQ29_spl
| e1 = op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f965,f1291]) ).
fof(f6869,plain,
( ~ sQ140_spl
| ~ sQ9_spl
| e1 = op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f900,f1549]) ).
fof(f6901,plain,
( ~ sQ6_spl
| ~ sQ142_spl
| ~ sQ140_spl
| ~ sQ9_spl
| e0 = e2 ),
inference(backward_demodulation,[status(thm)],[f6902,f890]) ).
fof(f6902,plain,
( ~ sQ142_spl
| ~ sQ140_spl
| ~ sQ9_spl
| op(e0,e1) = e0 ),
inference(forward_demodulation,[status(thm)],[f6869,f1557]) ).
fof(f6903,plain,
( ~ sQ6_spl
| ~ sQ142_spl
| ~ sQ140_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6901,f127]) ).
fof(f6904,plain,
( ~ sQ6_spl
| ~ sQ142_spl
| ~ sQ140_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f6903]) ).
fof(f6922,plain,
( ~ sQ169_spl
| ~ sQ29_spl
| op(e0,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f965,f2241]) ).
fof(f6927,plain,
( ~ sQ29_spl
| op(e1,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f965,f110]) ).
fof(f6947,plain,
( ~ sQ52_spl
| op(e2,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f1040,f89]) ).
fof(f7024,plain,
( ~ sQ9_spl
| ~ sQ171_spl
| ~ sQ18_spl
| e0 = e1 ),
inference(backward_demodulation,[status(thm)],[f7025,f900]) ).
fof(f7025,plain,
( ~ sQ171_spl
| ~ sQ18_spl
| op(e0,e2) = e0 ),
inference(forward_demodulation,[status(thm)],[f929,f1764]) ).
fof(f7026,plain,
( ~ sQ9_spl
| ~ sQ171_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7024,f126]) ).
fof(f7027,plain,
( ~ sQ9_spl
| ~ sQ171_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f7026]) ).
fof(f7038,plain,
( ~ sQ102_spl
| ~ sQ29_spl
| op(e2,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f6829,f89]) ).
fof(f7080,plain,
( ~ sQ185_spl
| ~ sQ9_spl
| op(e2,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f900,f1866]) ).
fof(f7081,plain,
( ~ sQ185_spl
| ~ sQ9_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7080,f3093]) ).
fof(f7082,plain,
( ~ sQ185_spl
| ~ sQ9_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f7081]) ).
fof(f7098,plain,
( sQ95_spl
| ~ sQ56_spl
| op(e2,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f1053,f1251]) ).
fof(f7145,plain,
( ~ sQ112_spl
| ~ sQ50_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f3865,f896,f1032,f1346]) ).
fof(f7160,plain,
( ~ sQ29_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f6927,f925,f964]) ).
fof(f7161,plain,
( ~ sQ169_spl
| ~ sQ29_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f6922,f886,f964,f1755]) ).
fof(f7162,plain,
( ~ sQ52_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f6947,f987,f1039]) ).
fof(f7165,plain,
( ~ sQ52_spl
| ~ sQ132_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f6668,f948,f1494,f1039]) ).
fof(f7182,plain,
( ~ sQ33_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f4282,f925,f977]) ).
fof(f7183,plain,
( ~ sQ0_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f5672,f909,f870]) ).
fof(f7187,plain,
( sQ82_spl
| ~ sQ40_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f6389,f983,f1000,f1190]) ).
fof(f7284,plain,
( sQ77_spl
| ~ sQ20_spl
| ~ sQ18_spl
| e3 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f929,f6349]) ).
fof(f7290,plain,
( sQ77_spl
| ~ sQ20_spl
| ~ sQ18_spl
| ~ sQ132_spl
| e3 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f1495,f7284]) ).
fof(f7292,plain,
( ~ sQ112_spl
| ~ sQ110_spl
| op(e0,op(e0,e3)) = e0 ),
inference(backward_demodulation,[status(thm)],[f1339,f1347]) ).
fof(f7313,plain,
( sQ83_spl
| ~ sQ40_spl
| ~ sQ35_spl
| e3 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f984,f6387]) ).
fof(f7317,plain,
( sQ83_spl
| ~ sQ40_spl
| ~ sQ35_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f7313,f1061,f983,f1000,f1194]) ).
fof(f7411,plain,
( sQ178_spl
| ~ sQ13_spl
| op(e3,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f913,f1816]) ).
fof(f7424,plain,
( ~ sQ78_spl
| ~ sQ20_spl
| e2 = op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f936,f1174]) ).
fof(f7447,plain,
( ~ sQ7_spl
| ~ sQ112_spl
| ~ sQ110_spl
| ~ sQ13_spl
| e0 = e3 ),
inference(backward_demodulation,[status(thm)],[f7448,f893]) ).
fof(f7448,plain,
( ~ sQ112_spl
| ~ sQ110_spl
| ~ sQ13_spl
| op(e0,e1) = e0 ),
inference(forward_demodulation,[status(thm)],[f913,f7292]) ).
fof(f7449,plain,
( ~ sQ7_spl
| ~ sQ112_spl
| ~ sQ110_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7447,f128]) ).
fof(f7450,plain,
( ~ sQ7_spl
| ~ sQ112_spl
| ~ sQ110_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f7449]) ).
fof(f7452,plain,
( ~ sQ178_spl
| ~ sQ13_spl
| op(e3,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f913,f1815]) ).
fof(f7453,plain,
( ~ sQ178_spl
| ~ sQ13_spl
| ~ sQ54_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f1046,f7452]) ).
fof(f7454,plain,
( ~ sQ178_spl
| ~ sQ13_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7453,f131]) ).
fof(f7455,plain,
( ~ sQ178_spl
| ~ sQ13_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f7454]) ).
fof(f7502,plain,
( sQ89_spl
| ~ sQ60_spl
| ~ sQ49_spl
| e2 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f1030,f4308]) ).
fof(f7532,plain,
( ~ sQ142_spl
| ~ sQ35_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f5067,f909,f983,f1556]) ).
fof(f7553,plain,
( sQ149_spl
| ~ sQ29_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f5387,f1048,f964,f1607]) ).
fof(f7554,plain,
( ~ sQ102_spl
| ~ sQ29_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f6829,f1042,f964,f1290]) ).
fof(f7555,plain,
( ~ sQ102_spl
| ~ sQ29_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f5393,f1029,f964,f1290]) ).
fof(f7557,plain,
( ~ sQ102_spl
| ~ sQ29_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f7038,f990,f964,f1290]) ).
fof(f7563,plain,
( ~ sQ104_spl
| ~ sQ102_spl
| ~ sQ29_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f5459,f938,f964,f1290,f1298]) ).
fof(f7564,plain,
( sQ169_spl
| ~ sQ6_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f6639,f928,f889,f1755]) ).
fof(f7579,plain,
( ~ sQ102_spl
| ~ sQ55_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f4955,f957,f1048,f1290]) ).
fof(f7580,plain,
( ~ sQ102_spl
| ~ sQ55_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f4877,f970,f1048,f1290]) ).
fof(f7588,plain,
( ~ sQ185_spl
| ~ sQ11_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f5061,f1019,f905,f1865]) ).
fof(f7593,plain,
( sQ197_spl
| ~ sQ2_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f3230,f896,f876,f1961]) ).
fof(f7604,plain,
( ~ sQ178_spl
| ~ sQ13_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f7452,f1048,f912,f1814]) ).
fof(f7612,plain,
( sQ73_spl
| ~ sQ2_spl
| ~ sQ11_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f5085,f1029,f905,f876,f1153]) ).
fof(f7622,plain,
( sQ87_spl
| ~ sQ62_spl
| ~ sQ56_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f5348,f912,f1052,f1071,f1211]) ).
fof(f7625,plain,
( sQ178_spl
| ~ sQ13_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f7411,f1048,f912,f1814]) ).
fof(f7630,plain,
( sQ87_spl
| ~ sQ62_spl
| ~ sQ92_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f4483,f912,f1229,f1071,f1211]) ).
fof(f7632,plain,
( sQ89_spl
| ~ sQ60_spl
| ~ sQ49_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f7502,f967,f1029,f1065,f1218]) ).
fof(f7838,plain,
( ~ sQ169_spl
| ~ sQ4_spl
| e0 = op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f884,f1756]) ).
fof(f7857,plain,
( ~ sQ192_spl
| ~ sQ4_spl
| op(e1,e0) = e1 ),
inference(forward_demodulation,[status(thm)],[f884,f1917]) ).
fof(f7858,plain,
( ~ sQ192_spl
| ~ sQ4_spl
| ~ sQ169_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f7838,f7857]) ).
fof(f7859,plain,
( ~ sQ192_spl
| ~ sQ4_spl
| ~ sQ169_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7858,f126]) ).
fof(f7860,plain,
( ~ sQ192_spl
| ~ sQ4_spl
| ~ sQ169_spl ),
inference(contradiction_clause,[status(thm)],[f7859]) ).
fof(f7863,plain,
( ~ sQ171_spl
| ~ sQ169_spl
| ~ sQ4_spl
| op(e0,e0) = e0 ),
inference(forward_demodulation,[status(thm)],[f7838,f1764]) ).
fof(f7878,plain,
( sQ90_spl
| ~ sQ60_spl
| e1 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f1066,f1223]) ).
fof(f7879,plain,
( sQ90_spl
| ~ sQ60_spl
| ~ sQ49_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f1030,f7878]) ).
fof(f7880,plain,
( sQ90_spl
| ~ sQ60_spl
| ~ sQ49_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7879]) ).
fof(f7881,plain,
( sQ90_spl
| ~ sQ60_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f7880]) ).
fof(f8130,plain,
( ~ sQ119_spl
| ~ sQ95_spl
| ~ sQ92_spl
| ~ sQ62_spl
| op(e3,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f4482,f1398]) ).
fof(f8131,plain,
( ~ sQ119_spl
| ~ sQ95_spl
| ~ sQ92_spl
| ~ sQ62_spl
| ~ sQ49_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f1030,f8130]) ).
fof(f8132,plain,
( ~ sQ119_spl
| ~ sQ95_spl
| ~ sQ92_spl
| ~ sQ62_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8131,f130]) ).
fof(f8133,plain,
( ~ sQ119_spl
| ~ sQ95_spl
| ~ sQ92_spl
| ~ sQ62_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f8132]) ).
fof(f8138,plain,
( sQ95_spl
| ~ sQ56_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f7098,f1013,f1052,f1249]) ).
fof(f8140,plain,
( ~ sQ171_spl
| ~ sQ169_spl
| ~ sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f7863,f870,f883,f1755,f1763]) ).
fof(f8141,plain,
( ~ sQ87_spl
| ~ sQ61_spl
| ~ sQ54_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f6441,f1016,f1045,f1068,f1211]) ).
fof(f8144,plain,
( ~ sQ192_spl
| ~ sQ169_spl
| ~ sQ19_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f4147,f964,f931,f1755,f1916]) ).
fof(f8159,plain,
( sQ85_spl
| ~ sQ41_spl
| ~ sQ86_spl
| e0 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f5345,f2370]) ).
fof(f8163,plain,
( sQ85_spl
| ~ sQ41_spl
| ~ sQ86_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f8159,f896,f1205,f1003,f1201]) ).
fof(f8372,plain,
( ~ sQ178_spl
| ~ sQ14_spl
| op(e3,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f916,f1815]) ).
fof(f8374,plain,
( sQ92_spl
| ~ sQ61_spl
| e0 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f1069,f1231]) ).
fof(f8402,plain,
( ~ sQ14_spl
| ~ sQ171_spl
| ~ sQ19_spl
| e0 = e2 ),
inference(backward_demodulation,[status(thm)],[f8403,f916]) ).
fof(f8403,plain,
( ~ sQ171_spl
| ~ sQ19_spl
| op(e0,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f932,f1764]) ).
fof(f8404,plain,
( ~ sQ14_spl
| ~ sQ171_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8402,f127]) ).
fof(f8405,plain,
( ~ sQ14_spl
| ~ sQ171_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f8404]) ).
fof(f8445,plain,
( sQ69_spl
| ~ sQ1_spl
| ~ sQ7_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f5606,f1032,f892,f873,f1139]) ).
fof(f8454,plain,
( sQ92_spl
| ~ sQ61_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f8374,f1039,f1068,f1229]) ).
fof(f8457,plain,
( ~ sQ178_spl
| ~ sQ110_spl
| ~ sQ50_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f3818,f1061,f1032,f1338,f1814]) ).
fof(f8458,plain,
( ~ sQ178_spl
| ~ sQ14_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f8372,f1061,f915,f1814]) ).
fof(f8645,plain,
( ~ sQ169_spl
| ~ sQ5_spl
| e1 = op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f887,f1756]) ).
fof(f8714,plain,
( ~ sQ119_spl
| ~ sQ95_spl
| ~ sQ57_spl
| op(e3,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f6430,f1398]) ).
fof(f8715,plain,
( ~ sQ119_spl
| ~ sQ95_spl
| ~ sQ57_spl
| ~ sQ54_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f1046,f8714]) ).
fof(f8716,plain,
( ~ sQ119_spl
| ~ sQ95_spl
| ~ sQ57_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8715,f131]) ).
fof(f8717,plain,
( ~ sQ119_spl
| ~ sQ95_spl
| ~ sQ57_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f8716]) ).
fof(f8794,plain,
( ~ sQ171_spl
| ~ sQ169_spl
| ~ sQ5_spl
| op(e0,e1) = e0 ),
inference(forward_demodulation,[status(thm)],[f8645,f1764]) ).
fof(f8863,plain,
( sQ75_spl
| ~ sQ23_spl
| e2 != op(op(e1,e3),e1) ),
inference(backward_demodulation,[status(thm)],[f945,f1165]) ).
fof(f8925,plain,
( ~ sQ5_spl
| ~ sQ171_spl
| ~ sQ169_spl
| e0 = e1 ),
inference(backward_demodulation,[status(thm)],[f8794,f887]) ).
fof(f8926,plain,
( ~ sQ5_spl
| ~ sQ171_spl
| ~ sQ169_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8925,f126]) ).
fof(f8927,plain,
( ~ sQ5_spl
| ~ sQ171_spl
| ~ sQ169_spl ),
inference(contradiction_clause,[status(thm)],[f8926]) ).
fof(f8984,plain,
( sQ75_spl
| ~ sQ23_spl
| ~ sQ28_spl
| e2 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f962,f8863]) ).
fof(f8986,plain,
( ~ sQ23_spl
| ~ sQ192_spl
| ~ sQ5_spl
| e1 = e3 ),
inference(backward_demodulation,[status(thm)],[f8987,f945]) ).
fof(f8987,plain,
( ~ sQ192_spl
| ~ sQ5_spl
| op(e1,e1) = e1 ),
inference(forward_demodulation,[status(thm)],[f887,f1917]) ).
fof(f8988,plain,
( ~ sQ23_spl
| ~ sQ192_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8986,f130]) ).
fof(f8989,plain,
( ~ sQ23_spl
| ~ sQ192_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f8988]) ).
fof(f9005,plain,
( ~ sQ17_spl
| ~ sQ192_spl
| ~ sQ5_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f8987,f4923]) ).
fof(f9006,plain,
( ~ sQ17_spl
| ~ sQ192_spl
| ~ sQ5_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9005]) ).
fof(f9007,plain,
( ~ sQ17_spl
| ~ sQ192_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f9006]) ).
fof(f9008,plain,
( ~ sQ97_spl
| ~ sQ95_spl
| ~ sQ44_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f5160,f980,f1013,f1249,f1257]) ).
fof(f9009,plain,
( sQ75_spl
| ~ sQ23_spl
| ~ sQ30_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f6593,f993,f967,f944,f1163]) ).
fof(f9012,plain,
( ~ sQ119_spl
| ~ sQ47_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f6210,f1074,f1022,f1397]) ).
fof(f9013,plain,
( sQ75_spl
| ~ sQ23_spl
| ~ sQ28_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f8984,f889,f961,f944,f1163]) ).
fof(f9016,plain,
( ~ sQ171_spl
| ~ sQ19_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f8403,f909,f931,f1763]) ).
fof(f9122,plain,
( ~ sQ83_spl
| ~ sQ43_spl
| ~ sQ86_spl
| e3 = op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f6608,f6550]) ).
fof(f9132,plain,
( ~ sQ83_spl
| ~ sQ43_spl
| ~ sQ86_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f9122,f905,f1205,f1009,f1194]) ).
fof(f9300,plain,
( ~ sQ156_spl
| ~ sQ27_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f5971,f1019,f957,f1658]) ).
fof(f9310,plain,
( ~ sQ134_spl
| ~ sQ132_spl
| ~ sQ27_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f5838,f964,f957,f1494,f1502]) ).
fof(f9311,plain,
( ~ sQ149_spl
| ~ sQ28_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f3579,f1035,f961,f1607]) ).
fof(f9595,plain,
( ~ sQ119_spl
| ~ sQ44_spl
| op(e3,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f1014,f1398]) ).
fof(f9596,plain,
( ~ sQ119_spl
| ~ sQ44_spl
| ~ sQ50_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f1033,f9595]) ).
fof(f9597,plain,
( ~ sQ119_spl
| ~ sQ44_spl
| ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9596,f131]) ).
fof(f9598,plain,
( ~ sQ119_spl
| ~ sQ44_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f9597]) ).
fof(f9676,plain,
( sQ77_spl
| ~ sQ20_spl
| ~ sQ78_spl
| e3 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f7424,f6349]) ).
fof(f9785,plain,
( ~ sQ1_spl
| ~ sQ112_spl
| ~ sQ110_spl
| ~ sQ12_spl
| e0 = e1 ),
inference(backward_demodulation,[status(thm)],[f9786,f874]) ).
fof(f9786,plain,
( ~ sQ112_spl
| ~ sQ110_spl
| ~ sQ12_spl
| op(e0,e0) = e0 ),
inference(forward_demodulation,[status(thm)],[f3998,f1347]) ).
fof(f9787,plain,
( ~ sQ1_spl
| ~ sQ112_spl
| ~ sQ110_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9785,f126]) ).
fof(f9788,plain,
( ~ sQ1_spl
| ~ sQ112_spl
| ~ sQ110_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f9787]) ).
fof(f9793,plain,
( ~ sQ2_spl
| ~ sQ112_spl
| ~ sQ110_spl
| ~ sQ12_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f9786,f877]) ).
fof(f9794,plain,
( ~ sQ2_spl
| ~ sQ112_spl
| ~ sQ110_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9793,f127]) ).
fof(f9795,plain,
( ~ sQ2_spl
| ~ sQ112_spl
| ~ sQ110_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f9794]) ).
fof(f9801,plain,
( sQ111_spl
| ~ sQ112_spl
| ~ sQ110_spl
| ~ sQ12_spl
| e0 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f9786,f1344]) ).
fof(f9802,plain,
( sQ111_spl
| ~ sQ112_spl
| ~ sQ110_spl
| ~ sQ12_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f3998,f9801]) ).
fof(f9803,plain,
( sQ111_spl
| ~ sQ112_spl
| ~ sQ110_spl
| ~ sQ12_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9802]) ).
fof(f9804,plain,
( sQ111_spl
| ~ sQ112_spl
| ~ sQ110_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f9803]) ).
fof(f9811,plain,
( sQ77_spl
| ~ sQ20_spl
| ~ sQ18_spl
| ~ sQ132_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f7290,f957,f1494,f928,f935,f1170]) ).
fof(f9812,plain,
( sQ134_spl
| ~ sQ132_spl
| ~ sQ27_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f5963,f964,f957,f1494,f1502]) ).
fof(f9816,plain,
( sQ77_spl
| ~ sQ20_spl
| ~ sQ78_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f9676,f996,f1173,f935,f1170]) ).
fof(f9817,plain,
( sQ77_spl
| ~ sQ20_spl
| ~ sQ18_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f7284,f996,f928,f935,f1170]) ).
fof(f9831,plain,
( ~ sQ156_spl
| ~ sQ24_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f5131,f980,f948,f1658]) ).
fof(f9847,plain,
( ~ sQ29_spl
| op(e1,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f965,f110]) ).
fof(f10038,plain,
( ~ sQ18_spl
| ~ sQ134_spl
| ~ sQ36_spl
| e1 = e2 ),
inference(backward_demodulation,[status(thm)],[f10039,f929]) ).
fof(f10039,plain,
( ~ sQ134_spl
| ~ sQ36_spl
| op(e1,e0) = e1 ),
inference(forward_demodulation,[status(thm)],[f988,f1503]) ).
fof(f10040,plain,
( ~ sQ18_spl
| ~ sQ134_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10038,f129]) ).
fof(f10041,plain,
( ~ sQ18_spl
| ~ sQ134_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f10040]) ).
fof(f10116,plain,
( ~ sQ29_spl
| ~ sQ134_spl
| ~ sQ36_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f10039,f9847]) ).
fof(f10117,plain,
( ~ sQ29_spl
| ~ sQ134_spl
| ~ sQ36_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f10116]) ).
fof(f10118,plain,
( ~ sQ29_spl
| ~ sQ134_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f10117]) ).
fof(f10163,plain,
( ~ sQ178_spl
| ~ sQ12_spl
| op(e3,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f910,f1815]) ).
fof(f10164,plain,
( ~ sQ178_spl
| ~ sQ12_spl
| ~ sQ110_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f3998,f10163]) ).
fof(f10165,plain,
( ~ sQ178_spl
| ~ sQ12_spl
| ~ sQ110_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10164,f128]) ).
fof(f10166,plain,
( ~ sQ178_spl
| ~ sQ12_spl
| ~ sQ110_spl ),
inference(contradiction_clause,[status(thm)],[f10165]) ).
fof(f10169,plain,
( ~ sQ63_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f6775,f1035,f1074]) ).
fof(f10181,plain,
( ~ sQ171_spl
| ~ sQ18_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f7025,f896,f928,f1763]) ).
fof(f10189,plain,
( ~ sQ39_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f3010,f944,f996]) ).
fof(f10207,plain,
( ~ sQ119_spl
| ~ sQ95_spl
| ~ sQ57_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f8714,f1048,f1055,f1249,f1397]) ).
fof(f10218,plain,
( ~ sQ142_spl
| ~ sQ140_spl
| ~ sQ9_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f6902,f883,f899,f1548,f1556]) ).
fof(f10226,plain,
( ~ sQ185_spl
| ~ sQ9_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f7080,f993,f899,f1865]) ).
fof(f10227,plain,
$false,
inference(sat_refutation,[status(thm)],[f882,f895,f908,f921,f934,f947,f960,f973,f986,f999,f1012,f1025,f1038,f1051,f1064,f1077,f1078,f1079,f1080,f1081,f1082,f1083,f1084,f1085,f1086,f1087,f1088,f1089,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f1097,f1098,f1099,f1100,f1101,f1102,f1103,f1104,f1105,f1106,f1107,f1108,f1109,f1113,f1115,f1116,f1117,f1118,f1125,f1126,f1130,f1134,f1138,f1145,f1152,f1156,f1160,f1161,f1162,f1169,f1176,f1180,f1184,f1185,f1186,f1193,f1200,f1204,f1208,f1209,f1210,f1217,f1224,f1228,f1232,f1233,f1234,f1238,f1239,f1240,f1241,f1242,f1243,f1244,f1252,f1256,f1260,f1261,f1266,f1270,f1271,f1272,f1274,f1279,f1280,f1281,f1282,f1283,f1284,f1285,f1286,f1293,f1301,f1302,f1303,f1307,f1311,f1312,f1313,f1316,f1320,f1321,f1322,f1323,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1341,f1345,f1349,f1350,f1351,f1355,f1359,f1360,f1361,f1364,f1368,f1369,f1370,f1371,f1372,f1373,f1374,f1375,f1376,f1377,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1392,f1400,f1401,f1402,f1406,f1410,f1412,f1414,f1419,f1420,f1421,f1422,f1423,f1424,f1425,f1426,f1427,f1428,f1432,f1434,f1435,f1436,f1437,f1438,f1446,f1447,f1451,f1452,f1457,f1461,f1463,f1470,f1471,f1472,f1473,f1474,f1475,f1476,f1477,f1478,f1479,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1490,f1497,f1505,f1506,f1507,f1511,f1515,f1516,f1517,f1519,f1520,f1524,f1525,f1526,f1528,f1529,f1530,f1531,f1532,f1533,f1537,f1538,f1539,f1540,f1541,f1542,f1543,f1544,f1551,f1559,f1560,f1561,f1565,f1569,f1570,f1571,f1573,f1574,f1578,f1579,f1580,f1581,f1582,f1583,f1584,f1591,f1592,f1593,f1594,f1595,f1596,f1597,f1598,f1602,f1610,f1611,f1612,f1616,f1620,f1622,f1624,f1625,f1629,f1630,f1631,f1632,f1633,f1634,f1635,f1636,f1637,f1638,f1642,f1643,f1644,f1645,f1646,f1647,f1648,f1649,f1653,f1661,f1662,f1663,f1667,f1671,f1672,f1673,f1675,f1680,f1681,f1682,f1683,f1684,f1685,f1686,f1687,f1688,f1689,f1693,f1695,f1696,f1697,f1698,f1699,f1707,f1708,f1712,f1713,f1718,f1722,f1724,f1731,f1732,f1733,f1734,f1735,f1736,f1737,f1738,f1739,f1740,f1744,f1745,f1746,f1747,f1748,f1749,f1750,f1751,f1758,f1766,f1767,f1768,f1772,f1776,f1777,f1778,f1780,f1781,f1785,f1786,f1787,f1789,f1790,f1791,f1792,f1793,f1794,f1798,f1799,f1800,f1801,f1802,f1803,f1804,f1805,f1809,f1817,f1818,f1819,f1823,f1827,f1829,f1831,f1832,f1836,f1837,f1838,f1839,f1840,f1841,f1842,f1849,f1850,f1851,f1852,f1853,f1854,f1855,f1856,f1860,f1868,f1869,f1870,f1874,f1878,f1879,f1880,f1882,f1883,f1887,f1888,f1889,f1890,f1891,f1892,f1893,f1894,f1895,f1896,f1900,f1901,f1903,f1904,f1905,f1906,f1907,f1911,f1919,f1920,f1921,f1922,f1926,f1930,f1931,f1933,f1935,f1939,f1940,f1941,f1942,f1943,f1944,f1945,f1946,f1947,f1948,f1949,f1951,f1952,f1953,f1954,f1959,f1960,f1964,f1969,f1970,f1971,f1976,f1977,f1978,f1979,f1980,f1981,f1982,f1983,f1984,f1985,f1989,f1990,f1991,f1996,f1997,f1998,f1999,f2000,f2001,f2002,f2006,f2007,f2008,f2009,f2010,f2011,f2080,f2082,f2084,f2085,f2088,f2089,f2093,f2096,f2097,f2098,f2099,f2100,f2101,f2102,f2103,f2104,f2106,f2108,f2110,f2117,f2118,f2121,f2122,f2133,f2135,f2138,f2141,f2143,f2144,f2145,f2148,f2149,f2150,f2151,f2152,f2153,f2155,f2157,f2159,f2167,f2168,f2169,f2170,f2171,f2173,f2180,f2186,f2187,f2188,f2189,f2190,f2191,f2192,f2204,f2205,f2206,f2215,f2216,f2217,f2218,f2219,f2220,f2223,f2224,f2225,f2226,f2227,f2228,f2229,f2230,f2231,f2232,f2233,f2234,f2235,f2236,f2237,f2238,f2239,f2240,f2254,f2255,f2257,f2271,f2272,f2280,f2283,f2285,f2291,f2292,f2293,f2295,f2296,f2297,f2316,f2317,f2318,f2319,f2320,f2322,f2323,f2324,f2332,f2333,f2335,f2337,f2344,f2345,f2346,f2347,f2348,f2349,f2350,f2351,f2352,f2353,f2354,f2355,f2356,f2363,f2364,f2366,f2367,f2384,f2385,f2397,f2398,f2399,f2400,f2403,f2404,f2410,f2413,f2430,f2431,f2432,f2436,f2437,f2438,f2439,f2440,f2441,f2443,f2444,f2445,f2446,f2447,f2448,f2456,f2457,f2458,f2459,f2460,f2481,f2483,f2510,f2513,f2515,f2517,f2518,f2519,f2520,f2521,f2523,f2524,f2546,f2547,f2550,f2558,f2559,f2560,f2562,f2564,f2566,f2567,f2569,f2570,f2629,f2652,f2680,f2688,f2699,f2705,f2734,f2766,f2776,f2777,f2792,f2793,f2804,f2809,f2812,f2816,f2823,f2839,f2850,f2851,f2852,f3005,f3019,f3021,f3048,f3051,f3062,f3063,f3068,f3070,f3080,f3081,f3082,f3152,f3225,f3295,f3301,f3311,f3322,f3323,f3326,f3329,f3330,f3337,f3339,f3342,f3344,f3345,f3346,f3521,f3578,f3582,f3594,f3604,f3616,f3620,f3621,f3622,f3626,f3629,f3633,f3649,f3650,f3651,f3652,f3653,f3654,f3821,f3828,f3856,f3861,f3869,f3875,f3894,f3895,f3898,f3902,f3906,f3919,f3926,f3929,f3931,f3932,f3933,f3936,f3937,f4005,f4134,f4154,f4160,f4323,f4344,f4367,f4375,f4378,f4380,f4382,f4387,f4390,f4392,f4401,f4402,f4411,f4412,f4422,f4639,f4640,f4667,f4668,f4669,f4670,f4806,f4873,f4903,f4944,f4947,f5011,f5058,f5064,f5089,f5128,f5130,f5132,f5175,f5181,f5183,f5185,f5186,f5190,f5192,f5205,f5386,f5427,f5461,f5464,f5485,f5507,f5513,f5528,f5540,f5550,f5559,f5560,f5608,f5634,f5640,f5645,f5840,f5845,f5872,f5919,f5923,f5970,f5974,f5980,f5982,f6002,f6017,f6021,f6103,f6181,f6213,f6234,f6261,f6283,f6285,f6286,f6436,f6445,f6460,f6466,f6484,f6488,f6493,f6495,f6498,f6505,f6515,f6517,f6523,f6526,f6530,f6531,f6533,f6535,f6536,f6537,f6538,f6539,f6607,f6753,f6758,f6826,f6904,f7027,f7082,f7145,f7160,f7161,f7162,f7165,f7182,f7183,f7187,f7317,f7450,f7455,f7532,f7553,f7554,f7555,f7557,f7563,f7564,f7579,f7580,f7588,f7593,f7604,f7612,f7622,f7625,f7630,f7632,f7860,f7881,f8133,f8138,f8140,f8141,f8144,f8163,f8405,f8445,f8454,f8457,f8458,f8717,f8927,f8989,f9007,f9008,f9009,f9012,f9013,f9016,f9132,f9300,f9310,f9311,f9598,f9788,f9795,f9804,f9811,f9812,f9816,f9817,f9831,f10041,f10118,f10166,f10169,f10181,f10189,f10207,f10218,f10226]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG134+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/15.41 % CPULimit : 300
% 0.07/15.41 % WCLimit : 300
% 0.07/15.41 % DateTime : Mon Sep 21 12:58:41 UTC 2026
% 0.07/15.41 % CPUTime :
% 0.07/15.44 % Drodi V4.1.1
% 135.63/32.58 % Refutation found
% 135.63/32.58 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 135.63/32.58 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 78.25/33.79 % Elapsed time: 18.156964 seconds
% 78.25/33.79 % CPU time: 131.789783 seconds
% 78.25/33.79 % Total memory used: 175.559 MB
% 78.25/33.79 % Net memory used: 173.545 MB
%------------------------------------------------------------------------------