%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG099+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 : n016.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 11:48:09 AM UTC 2026
% Result : Unsatisfiable 29.70s 19.39s
% Output : CNFRefutation 3.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 433
% Syntax : Number of formulae : 3715 ( 120 unt; 379 def)
% Number of atoms : 16219 (9249 equ)
% Maximal formula atoms : 375 ( 4 avg)
% Number of connectives : 22347 (9843 ~;7885 |;4145 &)
% ( 474 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 381 ( 379 usr; 380 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op(e4,e4) = e4
| op(e4,e4) = e3
| op(e4,e4) = e2
| op(e4,e4) = e1
| op(e4,e4) = e0 )
& ( op(e4,e3) = e4
| op(e4,e3) = e3
| op(e4,e3) = e2
| op(e4,e3) = e1
| op(e4,e3) = e0 )
& ( op(e4,e2) = e4
| op(e4,e2) = e3
| op(e4,e2) = e2
| op(e4,e2) = e1
| op(e4,e2) = e0 )
& ( op(e4,e1) = e4
| op(e4,e1) = e3
| op(e4,e1) = e2
| op(e4,e1) = e1
| op(e4,e1) = e0 )
& ( op(e4,e0) = e4
| op(e4,e0) = e3
| op(e4,e0) = e2
| op(e4,e0) = e1
| op(e4,e0) = e0 )
& ( op(e3,e4) = e4
| op(e3,e4) = e3
| op(e3,e4) = e2
| op(e3,e4) = e1
| op(e3,e4) = e0 )
& ( op(e3,e3) = e4
| op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 )
& ( op(e3,e2) = e4
| op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 )
& ( op(e3,e1) = e4
| op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 )
& ( op(e3,e0) = e4
| op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 )
& ( op(e2,e4) = e4
| op(e2,e4) = e3
| op(e2,e4) = e2
| op(e2,e4) = e1
| op(e2,e4) = e0 )
& ( op(e2,e3) = e4
| op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 )
& ( op(e2,e2) = e4
| op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 )
& ( op(e2,e1) = e4
| op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 )
& ( op(e2,e0) = e4
| op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 )
& ( op(e1,e4) = e4
| op(e1,e4) = e3
| op(e1,e4) = e2
| op(e1,e4) = e1
| op(e1,e4) = e0 )
& ( op(e1,e3) = e4
| op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 )
& ( op(e1,e2) = e4
| op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 )
& ( op(e1,e1) = e4
| op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 )
& ( op(e1,e0) = e4
| op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 )
& ( op(e0,e4) = e4
| op(e0,e4) = e3
| op(e0,e4) = e2
| op(e0,e4) = e1
| op(e0,e4) = e0 )
& ( op(e0,e3) = e4
| op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 )
& ( op(e0,e2) = e4
| op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 )
& ( op(e0,e1) = e4
| op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 )
& ( op(e0,e0) = e4
| 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,
( ( unit = e4
| unit = e3
| unit = e2
| unit = e1
| unit = e0 )
& op(e4,unit) = e4
& op(unit,e4) = e4
& op(e3,unit) = e3
& op(unit,e3) = e3
& op(e2,unit) = e2
& op(unit,e2) = e2
& op(e1,unit) = e1
& op(unit,e1) = e1
& op(e0,unit) = e0
& op(unit,e0) = e0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
( ( op(e4,e4) = e4
| op(e3,e4) = e4
| op(e2,e4) = e4
| op(e1,e4) = e4
| op(e0,e4) = e4 )
& ( op(e4,e4) = e4
| op(e4,e3) = e4
| op(e4,e2) = e4
| op(e4,e1) = e4
| op(e4,e0) = e4 )
& ( op(e4,e4) = e3
| op(e3,e4) = e3
| op(e2,e4) = e3
| op(e1,e4) = e3
| op(e0,e4) = e3 )
& ( op(e4,e4) = e3
| op(e4,e3) = e3
| op(e4,e2) = e3
| op(e4,e1) = e3
| op(e4,e0) = e3 )
& ( op(e4,e4) = e2
| op(e3,e4) = e2
| op(e2,e4) = e2
| op(e1,e4) = e2
| op(e0,e4) = e2 )
& ( op(e4,e4) = e2
| op(e4,e3) = e2
| op(e4,e2) = e2
| op(e4,e1) = e2
| op(e4,e0) = e2 )
& ( op(e4,e4) = e1
| op(e3,e4) = e1
| op(e2,e4) = e1
| op(e1,e4) = e1
| op(e0,e4) = e1 )
& ( op(e4,e4) = e1
| op(e4,e3) = e1
| op(e4,e2) = e1
| op(e4,e1) = e1
| op(e4,e0) = e1 )
& ( op(e4,e4) = e0
| op(e3,e4) = e0
| op(e2,e4) = e0
| op(e1,e4) = e0
| op(e0,e4) = e0 )
& ( op(e4,e4) = e0
| op(e4,e3) = e0
| op(e4,e2) = e0
| op(e4,e1) = e0
| op(e4,e0) = e0 )
& ( op(e4,e3) = e4
| op(e3,e3) = e4
| op(e2,e3) = e4
| op(e1,e3) = e4
| op(e0,e3) = e4 )
& ( op(e3,e4) = e4
| op(e3,e3) = e4
| op(e3,e2) = e4
| op(e3,e1) = e4
| op(e3,e0) = e4 )
& ( op(e4,e3) = e3
| op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 )
& ( op(e3,e4) = e3
| op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 )
& ( op(e4,e3) = e2
| op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 )
& ( op(e3,e4) = e2
| op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 )
& ( op(e4,e3) = e1
| op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 )
& ( op(e3,e4) = e1
| op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 )
& ( op(e4,e3) = e0
| op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 )
& ( op(e3,e4) = e0
| op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 )
& ( op(e4,e2) = e4
| op(e3,e2) = e4
| op(e2,e2) = e4
| op(e1,e2) = e4
| op(e0,e2) = e4 )
& ( op(e2,e4) = e4
| op(e2,e3) = e4
| op(e2,e2) = e4
| op(e2,e1) = e4
| op(e2,e0) = e4 )
& ( op(e4,e2) = e3
| op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 )
& ( op(e2,e4) = e3
| op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 )
& ( op(e4,e2) = e2
| op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 )
& ( op(e2,e4) = e2
| op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 )
& ( op(e4,e2) = e1
| op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 )
& ( op(e2,e4) = e1
| op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 )
& ( op(e4,e2) = e0
| op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 )
& ( op(e2,e4) = e0
| op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 )
& ( op(e4,e1) = e4
| op(e3,e1) = e4
| op(e2,e1) = e4
| op(e1,e1) = e4
| op(e0,e1) = e4 )
& ( op(e1,e4) = e4
| op(e1,e3) = e4
| op(e1,e2) = e4
| op(e1,e1) = e4
| op(e1,e0) = e4 )
& ( op(e4,e1) = e3
| op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 )
& ( op(e1,e4) = e3
| op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 )
& ( op(e4,e1) = e2
| op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 )
& ( op(e1,e4) = e2
| op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 )
& ( op(e4,e1) = e1
| op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 )
& ( op(e1,e4) = e1
| op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 )
& ( op(e4,e1) = e0
| op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 )
& ( op(e1,e4) = e0
| op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 )
& ( op(e4,e0) = e4
| op(e3,e0) = e4
| op(e2,e0) = e4
| op(e1,e0) = e4
| op(e0,e0) = e4 )
& ( op(e0,e4) = e4
| op(e0,e3) = e4
| op(e0,e2) = e4
| op(e0,e1) = e4
| op(e0,e0) = e4 )
& ( op(e4,e0) = e3
| op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 )
& ( op(e0,e4) = e3
| op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 )
& ( op(e4,e0) = e2
| op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 )
& ( op(e0,e4) = e2
| op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 )
& ( op(e4,e0) = e1
| op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 )
& ( op(e0,e4) = e1
| op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 )
& ( op(e4,e0) = e0
| op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 )
& ( op(e0,e4) = 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(f4,axiom,
( op(e4,e3) != op(e4,e4)
& op(e4,e2) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e2)
& op(e4,e0) != op(e4,e4)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e1)
& op(e3,e3) != op(e3,e4)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e4)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e3) != op(e2,e4)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e4)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e3) != op(e1,e4)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e3) != op(e0,e4)
& op(e0,e2) != op(e0,e4)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e4)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e3,e4) != op(e4,e4)
& op(e2,e4) != op(e4,e4)
& op(e2,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e2,e4)
& op(e0,e4) != op(e4,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e1,e4)
& op(e3,e3) != op(e4,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e4,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e3,e2) != op(e4,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e4,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e3,e1) != op(e4,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e4,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e3,e0) != op(e4,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e4,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(f5,axiom,
( e3 != e4
& e2 != e4
& e2 != e3
& e1 != e4
& e1 != e3
& e1 != e2
& e0 != e4
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
( ( ( ( e4 != unit
& op(e4,e4) = e4 )
| op(e4,e4) != e4 )
& ( ( e4 != unit
& op(e4,e4) = e3 )
| op(e4,e3) != e4 )
& ( ( e4 != unit
& op(e4,e4) = e2 )
| op(e4,e2) != e4 )
& ( ( e4 != unit
& op(e4,e4) = e1 )
| op(e4,e1) != e4 )
& ( ( e4 != unit
& op(e4,e4) = e0 )
| op(e4,e0) != e4 )
& ( ( e4 != unit
& op(e3,e4) = e4 )
| op(e3,e4) != e4 )
& ( ( e4 != unit
& op(e3,e4) = e3 )
| op(e3,e3) != e4 )
& ( ( e4 != unit
& op(e3,e4) = e2 )
| op(e3,e2) != e4 )
& ( ( e4 != unit
& op(e3,e4) = e1 )
| op(e3,e1) != e4 )
& ( ( e4 != unit
& op(e3,e4) = e0 )
| op(e3,e0) != e4 )
& ( ( e4 != unit
& op(e2,e4) = e4 )
| op(e2,e4) != e4 )
& ( ( e4 != unit
& op(e2,e4) = e3 )
| op(e2,e3) != e4 )
& ( ( e4 != unit
& op(e2,e4) = e2 )
| op(e2,e2) != e4 )
& ( ( e4 != unit
& op(e2,e4) = e1 )
| op(e2,e1) != e4 )
& ( ( e4 != unit
& op(e2,e4) = e0 )
| op(e2,e0) != e4 )
& ( ( e4 != unit
& op(e1,e4) = e4 )
| op(e1,e4) != e4 )
& ( ( e4 != unit
& op(e1,e4) = e3 )
| op(e1,e3) != e4 )
& ( ( e4 != unit
& op(e1,e4) = e2 )
| op(e1,e2) != e4 )
& ( ( e4 != unit
& op(e1,e4) = e1 )
| op(e1,e1) != e4 )
& ( ( e4 != unit
& op(e1,e4) = e0 )
| op(e1,e0) != e4 )
& ( ( e4 != unit
& op(e0,e4) = e4 )
| op(e0,e4) != e4 )
& ( ( e4 != unit
& op(e0,e4) = e3 )
| op(e0,e3) != e4 )
& ( ( e4 != unit
& op(e0,e4) = e2 )
| op(e0,e2) != e4 )
& ( ( e4 != unit
& op(e0,e4) = e1 )
| op(e0,e1) != e4 )
& ( ( e4 != unit
& op(e0,e4) = e0 )
| op(e0,e0) != e4 ) )
| ( ( ( e3 != unit
& op(e4,e3) = e4 )
| op(e4,e4) != e3 )
& ( ( e3 != unit
& op(e4,e3) = e3 )
| op(e4,e3) != e3 )
& ( ( e3 != unit
& op(e4,e3) = e2 )
| op(e4,e2) != e3 )
& ( ( e3 != unit
& op(e4,e3) = e1 )
| op(e4,e1) != e3 )
& ( ( e3 != unit
& op(e4,e3) = e0 )
| op(e4,e0) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e4 )
| op(e3,e4) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e3 )
| op(e3,e3) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e2 )
| op(e3,e2) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e1 )
| op(e3,e1) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e0 )
| op(e3,e0) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e4 )
| op(e2,e4) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e3 )
| op(e2,e3) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e2 )
| op(e2,e2) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e1 )
| op(e2,e1) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e0 )
| op(e2,e0) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e4 )
| op(e1,e4) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e3 )
| op(e1,e3) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e2 )
| op(e1,e2) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e1 )
| op(e1,e1) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e0 )
| op(e1,e0) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e4 )
| op(e0,e4) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e3 )
| op(e0,e3) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e2 )
| op(e0,e2) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e1 )
| op(e0,e1) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e0 )
| op(e0,e0) != e3 ) )
| ( ( ( e2 != unit
& op(e4,e2) = e4 )
| op(e4,e4) != e2 )
& ( ( e2 != unit
& op(e4,e2) = e3 )
| op(e4,e3) != e2 )
& ( ( e2 != unit
& op(e4,e2) = e2 )
| op(e4,e2) != e2 )
& ( ( e2 != unit
& op(e4,e2) = e1 )
| op(e4,e1) != e2 )
& ( ( e2 != unit
& op(e4,e2) = e0 )
| op(e4,e0) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e4 )
| op(e3,e4) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e3 )
| op(e3,e3) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e2 )
| op(e3,e2) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e1 )
| op(e3,e1) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e0 )
| op(e3,e0) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e4 )
| op(e2,e4) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e3 )
| op(e2,e3) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e2 )
| op(e2,e2) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e1 )
| op(e2,e1) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e0 )
| op(e2,e0) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e4 )
| op(e1,e4) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e3 )
| op(e1,e3) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e2 )
| op(e1,e2) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e1 )
| op(e1,e1) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e0 )
| op(e1,e0) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e4 )
| op(e0,e4) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e3 )
| op(e0,e3) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e2 )
| op(e0,e2) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e1 )
| op(e0,e1) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e0 )
| op(e0,e0) != e2 ) )
| ( ( ( e1 != unit
& op(e4,e1) = e4 )
| op(e4,e4) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e3 )
| op(e4,e3) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e2 )
| op(e4,e2) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e1 )
| op(e4,e1) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e0 )
| op(e4,e0) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e4 )
| op(e3,e4) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e3 )
| op(e3,e3) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e2 )
| op(e3,e2) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e1 )
| op(e3,e1) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e0 )
| op(e3,e0) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e4 )
| op(e2,e4) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e3 )
| op(e2,e3) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e2 )
| op(e2,e2) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e1 )
| op(e2,e1) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e0 )
| op(e2,e0) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e4 )
| op(e1,e4) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e3 )
| op(e1,e3) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e2 )
| op(e1,e2) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e1 )
| op(e1,e1) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e0 )
| op(e1,e0) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e4 )
| op(e0,e4) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e3 )
| op(e0,e3) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e2 )
| op(e0,e2) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e1 )
| op(e0,e1) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ) )
| ( ( ( e0 != unit
& op(e4,e0) = e4 )
| op(e4,e4) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e3 )
| op(e4,e3) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e2 )
| op(e4,e2) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e1 )
| op(e4,e1) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e0 )
| op(e4,e0) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e4 )
| op(e3,e4) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e3 )
| op(e3,e3) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e2 )
| op(e3,e2) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e1 )
| op(e3,e1) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e0 )
| op(e3,e0) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e4 )
| op(e2,e4) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e3 )
| op(e2,e3) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e2 )
| op(e2,e2) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e1 )
| op(e2,e1) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e0 )
| op(e2,e0) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e4 )
| op(e1,e4) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e3 )
| op(e1,e3) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e2 )
| op(e1,e2) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e1 )
| op(e1,e1) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e0 )
| op(e1,e0) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| op(e0,e4) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e3 )
| op(e0,e3) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| op(e0,e2) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| op(e0,e1) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
~ ( e4 = op(op(e2,e2),op(e2,e2))
& e3 = op(e2,e2)
& e1 = op(op(e2,e2),e2)
& e0 = op(op(op(e2,e2),e2),op(op(e2,e2),e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
~ ( e3 = op(op(e2,e2),op(e2,e2))
& e4 = op(e2,e2)
& e1 = op(op(e2,e2),e2)
& e0 = op(op(op(e2,e2),e2),op(op(e2,e2),e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
~ ( e4 = op(op(e1,e1),op(e1,e1))
& e3 = op(e1,e1)
& e2 = op(op(e1,e1),e1)
& e0 = op(op(op(e1,e1),e1),op(op(e1,e1),e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
~ ( e1 = op(op(e4,e4),op(e4,e4))
& e3 = op(e4,e4)
& e2 = op(op(e4,e4),e4)
& e0 = op(op(op(e4,e4),e4),op(op(e4,e4),e4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
~ ( e4 = op(op(e1,e1),op(e1,e1))
& e2 = op(e1,e1)
& e3 = op(op(e1,e1),e1)
& e0 = op(op(op(e1,e1),e1),op(op(e1,e1),e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
~ ( e2 = op(op(e1,e1),op(e1,e1))
& e4 = op(e1,e1)
& e3 = op(op(e1,e1),e1)
& e0 = op(op(op(e1,e1),e1),op(op(e1,e1),e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
~ ( e2 = op(op(e3,e3),op(e3,e3))
& e1 = op(e3,e3)
& e4 = op(op(e3,e3),e3)
& e0 = op(op(op(e3,e3),e3),op(op(e3,e3),e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,axiom,
~ ( e1 = op(op(e3,e3),op(e3,e3))
& e2 = op(e3,e3)
& e4 = op(op(e3,e3),e3)
& e0 = op(op(op(e3,e3),e3),op(op(e3,e3),e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,axiom,
~ ( e4 = op(op(e3,e3),op(e3,e3))
& e2 = op(e3,e3)
& e0 = op(op(e3,e3),e3)
& e1 = op(op(op(e3,e3),e3),op(op(e3,e3),e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,axiom,
~ ( e2 = op(op(e3,e3),op(e3,e3))
& e4 = op(e3,e3)
& e0 = op(op(e3,e3),e3)
& e1 = op(op(op(e3,e3),e3),op(op(e3,e3),e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,axiom,
~ ( e4 = op(op(e3,e3),op(e3,e3))
& e0 = op(e3,e3)
& e2 = op(op(e3,e3),e3)
& e1 = op(op(op(e3,e3),e3),op(op(e3,e3),e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,axiom,
~ ( e3 = op(op(e4,e4),op(e4,e4))
& e0 = op(e4,e4)
& e2 = op(op(e4,e4),e4)
& e1 = op(op(op(e4,e4),e4),op(op(e4,e4),e4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f42,axiom,
~ ( e0 = op(op(e4,e4),op(e4,e4))
& e3 = op(e4,e4)
& e2 = op(op(e4,e4),e4)
& e1 = op(op(op(e4,e4),e4),op(op(e4,e4),e4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f45,axiom,
~ ( e4 = op(op(e2,e2),op(e2,e2))
& e0 = op(e2,e2)
& e3 = op(op(e2,e2),e2)
& e1 = op(op(op(e2,e2),e2),op(op(e2,e2),e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f47,axiom,
~ ( e2 = op(op(e4,e4),op(e4,e4))
& e0 = op(e4,e4)
& e3 = op(op(e4,e4),e4)
& e1 = op(op(op(e4,e4),e4),op(op(e4,e4),e4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f53,axiom,
~ ( e2 = op(op(e3,e3),op(e3,e3))
& e0 = op(e3,e3)
& e4 = op(op(e3,e3),e3)
& e1 = op(op(op(e3,e3),e3),op(op(e3,e3),e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f54,axiom,
~ ( e0 = op(op(e3,e3),op(e3,e3))
& e2 = op(e3,e3)
& e4 = op(op(e3,e3),e3)
& e1 = op(op(op(e3,e3),e3),op(op(e3,e3),e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f56,axiom,
~ ( e3 = op(op(e1,e1),op(e1,e1))
& e4 = op(e1,e1)
& e0 = op(op(e1,e1),e1)
& e2 = op(op(op(e1,e1),e1),op(op(e1,e1),e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f58,axiom,
~ ( e1 = op(op(e3,e3),op(e3,e3))
& e4 = op(e3,e3)
& e0 = op(op(e3,e3),e3)
& e2 = op(op(op(e3,e3),e3),op(op(e3,e3),e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f62,axiom,
~ ( e3 = op(op(e0,e0),op(e0,e0))
& e4 = op(e0,e0)
& e1 = op(op(e0,e0),e0)
& e2 = op(op(op(e0,e0),e0),op(op(e0,e0),e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f63,axiom,
~ ( e4 = op(op(e3,e3),op(e3,e3))
& e0 = op(e3,e3)
& e1 = op(op(e3,e3),e3)
& e2 = op(op(op(e3,e3),e3),op(op(e3,e3),e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f64,axiom,
~ ( e0 = op(op(e3,e3),op(e3,e3))
& e4 = op(e3,e3)
& e1 = op(op(e3,e3),e3)
& e2 = op(op(op(e3,e3),e3),op(op(e3,e3),e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f65,axiom,
~ ( e3 = op(op(e4,e4),op(e4,e4))
& e0 = op(e4,e4)
& e1 = op(op(e4,e4),e4)
& e2 = op(op(op(e4,e4),e4),op(op(e4,e4),e4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f69,axiom,
~ ( e4 = op(op(e1,e1),op(e1,e1))
& e0 = op(e1,e1)
& e3 = op(op(e1,e1),e1)
& e2 = op(op(op(e1,e1),e1),op(op(e1,e1),e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f71,axiom,
~ ( e1 = op(op(e4,e4),op(e4,e4))
& e0 = op(e4,e4)
& e3 = op(op(e4,e4),e4)
& e2 = op(op(op(e4,e4),e4),op(op(e4,e4),e4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f75,axiom,
~ ( e3 = op(op(e1,e1),op(e1,e1))
& e0 = op(e1,e1)
& e4 = op(op(e1,e1),e1)
& e2 = op(op(op(e1,e1),e1),op(op(e1,e1),e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f76,axiom,
~ ( e0 = op(op(e1,e1),op(e1,e1))
& e3 = op(e1,e1)
& e4 = op(op(e1,e1),e1)
& e2 = op(op(op(e1,e1),e1),op(op(e1,e1),e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f77,axiom,
~ ( e1 = op(op(e3,e3),op(e3,e3))
& e0 = op(e3,e3)
& e4 = op(op(e3,e3),e3)
& e2 = op(op(op(e3,e3),e3),op(op(e3,e3),e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f79,axiom,
~ ( e4 = op(op(e1,e1),op(e1,e1))
& e2 = op(e1,e1)
& e0 = op(op(e1,e1),e1)
& e3 = op(op(op(e1,e1),e1),op(op(e1,e1),e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f81,axiom,
~ ( e4 = op(op(e2,e2),op(e2,e2))
& e1 = op(e2,e2)
& e0 = op(op(e2,e2),e2)
& e3 = op(op(op(e2,e2),e2),op(op(e2,e2),e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f87,axiom,
~ ( e4 = op(op(e2,e2),op(e2,e2))
& e0 = op(e2,e2)
& e1 = op(op(e2,e2),e2)
& e3 = op(op(op(e2,e2),e2),op(op(e2,e2),e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f89,axiom,
~ ( e2 = op(op(e4,e4),op(e4,e4))
& e0 = op(e4,e4)
& e1 = op(op(e4,e4),e4)
& e3 = op(op(op(e4,e4),e4),op(op(e4,e4),e4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f91,axiom,
~ ( e4 = op(op(e0,e0),op(e0,e0))
& e1 = op(e0,e0)
& e2 = op(op(e0,e0),e0)
& e3 = op(op(op(e0,e0),e0),op(op(e0,e0),e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f93,axiom,
~ ( e4 = op(op(e1,e1),op(e1,e1))
& e0 = op(e1,e1)
& e2 = op(op(e1,e1),e1)
& e3 = op(op(op(e1,e1),e1),op(op(e1,e1),e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f95,axiom,
~ ( e1 = op(op(e4,e4),op(e4,e4))
& e0 = op(e4,e4)
& e2 = op(op(e4,e4),e4)
& e3 = op(op(op(e4,e4),e4),op(op(e4,e4),e4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f96,axiom,
~ ( e0 = op(op(e4,e4),op(e4,e4))
& e1 = op(e4,e4)
& e2 = op(op(e4,e4),e4)
& e3 = op(op(op(e4,e4),e4),op(op(e4,e4),e4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f97,axiom,
~ ( e2 = op(op(e0,e0),op(e0,e0))
& e1 = op(e0,e0)
& e4 = op(op(e0,e0),e0)
& e3 = op(op(op(e0,e0),e0),op(op(e0,e0),e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f102,axiom,
~ ( e0 = op(op(e2,e2),op(e2,e2))
& e1 = op(e2,e2)
& e4 = op(op(e2,e2),e2)
& e3 = op(op(op(e2,e2),e2),op(op(e2,e2),e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f103,axiom,
~ ( e3 = op(op(e1,e1),op(e1,e1))
& e2 = op(e1,e1)
& e0 = op(op(e1,e1),e1)
& e4 = op(op(op(e1,e1),e1),op(op(e1,e1),e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f108,axiom,
~ ( e1 = op(op(e3,e3),op(e3,e3))
& e2 = op(e3,e3)
& e0 = op(op(e3,e3),e3)
& e4 = op(op(op(e3,e3),e3),op(op(e3,e3),e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f112,axiom,
~ ( e0 = op(op(e2,e2),op(e2,e2))
& e3 = op(e2,e2)
& e1 = op(op(e2,e2),e2)
& e4 = op(op(op(e2,e2),e2),op(op(e2,e2),e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f113,axiom,
~ ( e2 = op(op(e3,e3),op(e3,e3))
& e0 = op(e3,e3)
& e1 = op(op(e3,e3),e3)
& e4 = op(op(op(e3,e3),e3),op(op(e3,e3),e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f114,axiom,
~ ( e0 = op(op(e3,e3),op(e3,e3))
& e2 = op(e3,e3)
& e1 = op(op(e3,e3),e3)
& e4 = op(op(op(e3,e3),e3),op(op(e3,e3),e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f115,axiom,
~ ( e3 = op(op(e0,e0),op(e0,e0))
& e1 = op(e0,e0)
& e2 = op(op(e0,e0),e0)
& e4 = op(op(op(e0,e0),e0),op(op(e0,e0),e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f116,axiom,
~ ( e1 = op(op(e0,e0),op(e0,e0))
& e3 = op(e0,e0)
& e2 = op(op(e0,e0),e0)
& e4 = op(op(op(e0,e0),e0),op(op(e0,e0),e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f119,axiom,
~ ( e1 = op(op(e3,e3),op(e3,e3))
& e0 = op(e3,e3)
& e2 = op(op(e3,e3),e3)
& e4 = op(op(op(e3,e3),e3),op(op(e3,e3),e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f121,axiom,
~ ( e2 = op(op(e0,e0),op(e0,e0))
& e1 = op(e0,e0)
& e3 = op(op(e0,e0),e0)
& e4 = op(op(op(e0,e0),e0),op(op(e0,e0),e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f123,axiom,
~ ( e2 = op(op(e1,e1),op(e1,e1))
& e0 = op(e1,e1)
& e3 = op(op(e1,e1),e1)
& e4 = op(op(op(e1,e1),e1),op(op(e1,e1),e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f127,plain,
( op(e0,e0) = e4
| op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f128,plain,
( op(e0,e1) = e4
| op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f129,plain,
( op(e0,e2) = e4
| op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f130,plain,
( op(e0,e3) = e4
| op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f131,plain,
( op(e0,e4) = e4
| op(e0,e4) = e3
| op(e0,e4) = e2
| op(e0,e4) = e1
| op(e0,e4) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f132,plain,
( op(e1,e0) = e4
| op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f133,plain,
( op(e1,e1) = e4
| op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f134,plain,
( op(e1,e2) = e4
| op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f135,plain,
( op(e1,e3) = e4
| op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f136,plain,
( op(e1,e4) = e4
| op(e1,e4) = e3
| op(e1,e4) = e2
| op(e1,e4) = e1
| op(e1,e4) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f137,plain,
( op(e2,e0) = e4
| op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f138,plain,
( op(e2,e1) = e4
| op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f139,plain,
( op(e2,e2) = e4
| op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f140,plain,
( op(e2,e3) = e4
| op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f141,plain,
( op(e2,e4) = e4
| op(e2,e4) = e3
| op(e2,e4) = e2
| op(e2,e4) = e1
| op(e2,e4) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f142,plain,
( op(e3,e0) = e4
| op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f143,plain,
( op(e3,e1) = e4
| op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f144,plain,
( op(e3,e2) = e4
| op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f145,plain,
( op(e3,e3) = e4
| op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f146,plain,
( op(e3,e4) = e4
| op(e3,e4) = e3
| op(e3,e4) = e2
| op(e3,e4) = e1
| op(e3,e4) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f147,plain,
( op(e4,e0) = e4
| op(e4,e0) = e3
| op(e4,e0) = e2
| op(e4,e0) = e1
| op(e4,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f148,plain,
( op(e4,e1) = e4
| op(e4,e1) = e3
| op(e4,e1) = e2
| op(e4,e1) = e1
| op(e4,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f149,plain,
( op(e4,e2) = e4
| op(e4,e2) = e3
| op(e4,e2) = e2
| op(e4,e2) = e1
| op(e4,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f150,plain,
( op(e4,e3) = e4
| op(e4,e3) = e3
| op(e4,e3) = e2
| op(e4,e3) = e1
| op(e4,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f151,plain,
( op(e4,e4) = e4
| op(e4,e4) = e3
| op(e4,e4) = e2
| op(e4,e4) = e1
| op(e4,e4) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f152,plain,
op(unit,e0) = e0,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f153,plain,
op(e0,unit) = e0,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f154,plain,
op(unit,e1) = e1,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f155,plain,
op(e1,unit) = e1,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f156,plain,
op(unit,e2) = e2,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f157,plain,
op(e2,unit) = e2,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f158,plain,
op(unit,e3) = e3,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f159,plain,
op(e3,unit) = e3,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f160,plain,
op(unit,e4) = e4,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f161,plain,
op(e4,unit) = e4,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f162,plain,
( unit = e4
| unit = e3
| unit = e2
| unit = e1
| unit = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f163,plain,
( op(e0,e4) = e0
| op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f165,plain,
( op(e0,e4) = e1
| op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f166,plain,
( op(e4,e0) = e1
| op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f167,plain,
( op(e0,e4) = e2
| op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f168,plain,
( op(e4,e0) = e2
| op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f169,plain,
( op(e0,e4) = e3
| op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f170,plain,
( op(e4,e0) = e3
| op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f171,plain,
( op(e0,e4) = e4
| op(e0,e3) = e4
| op(e0,e2) = e4
| op(e0,e1) = e4
| op(e0,e0) = e4 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f172,plain,
( op(e4,e0) = e4
| op(e3,e0) = e4
| op(e2,e0) = e4
| op(e1,e0) = e4
| op(e0,e0) = e4 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f173,plain,
( op(e1,e4) = e0
| op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f174,plain,
( op(e4,e1) = e0
| op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f175,plain,
( op(e1,e4) = e1
| op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f177,plain,
( op(e1,e4) = e2
| op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f178,plain,
( op(e4,e1) = e2
| op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f179,plain,
( op(e1,e4) = e3
| op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f180,plain,
( op(e4,e1) = e3
| op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f181,plain,
( op(e1,e4) = e4
| op(e1,e3) = e4
| op(e1,e2) = e4
| op(e1,e1) = e4
| op(e1,e0) = e4 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f182,plain,
( op(e4,e1) = e4
| op(e3,e1) = e4
| op(e2,e1) = e4
| op(e1,e1) = e4
| op(e0,e1) = e4 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f183,plain,
( op(e2,e4) = e0
| op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f184,plain,
( op(e4,e2) = e0
| op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f185,plain,
( op(e2,e4) = e1
| op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f186,plain,
( op(e4,e2) = e1
| op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f187,plain,
( op(e2,e4) = e2
| op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f189,plain,
( op(e2,e4) = e3
| op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f190,plain,
( op(e4,e2) = e3
| op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f191,plain,
( op(e2,e4) = e4
| op(e2,e3) = e4
| op(e2,e2) = e4
| op(e2,e1) = e4
| op(e2,e0) = e4 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f192,plain,
( op(e4,e2) = e4
| op(e3,e2) = e4
| op(e2,e2) = e4
| op(e1,e2) = e4
| op(e0,e2) = e4 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f193,plain,
( op(e3,e4) = e0
| op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f194,plain,
( op(e4,e3) = e0
| op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f195,plain,
( op(e3,e4) = e1
| op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f196,plain,
( op(e4,e3) = e1
| op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f197,plain,
( op(e3,e4) = e2
| op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f198,plain,
( op(e4,e3) = e2
| op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f201,plain,
( op(e3,e4) = e4
| op(e3,e3) = e4
| op(e3,e2) = e4
| op(e3,e1) = e4
| op(e3,e0) = e4 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f202,plain,
( op(e4,e3) = e4
| op(e3,e3) = e4
| op(e2,e3) = e4
| op(e1,e3) = e4
| op(e0,e3) = e4 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f203,plain,
( op(e4,e4) = e0
| op(e4,e3) = e0
| op(e4,e2) = e0
| op(e4,e1) = e0
| op(e4,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f204,plain,
( op(e4,e4) = e0
| op(e3,e4) = e0
| op(e2,e4) = e0
| op(e1,e4) = e0
| op(e0,e4) = e0 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f205,plain,
( op(e4,e4) = e1
| op(e4,e3) = e1
| op(e4,e2) = e1
| op(e4,e1) = e1
| op(e4,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f206,plain,
( op(e4,e4) = e1
| op(e3,e4) = e1
| op(e2,e4) = e1
| op(e1,e4) = e1
| op(e0,e4) = e1 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f207,plain,
( op(e4,e4) = e2
| op(e4,e3) = e2
| op(e4,e2) = e2
| op(e4,e1) = e2
| op(e4,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f208,plain,
( op(e4,e4) = e2
| op(e3,e4) = e2
| op(e2,e4) = e2
| op(e1,e4) = e2
| op(e0,e4) = e2 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f209,plain,
( op(e4,e4) = e3
| op(e4,e3) = e3
| op(e4,e2) = e3
| op(e4,e1) = e3
| op(e4,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f210,plain,
( op(e4,e4) = e3
| op(e3,e4) = e3
| op(e2,e4) = e3
| op(e1,e4) = e3
| op(e0,e4) = e3 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f211,plain,
( op(e4,e4) = e4
| op(e4,e3) = e4
| op(e4,e2) = e4
| op(e4,e1) = e4
| op(e4,e0) = e4 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f213,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f214,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f215,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f216,plain,
op(e0,e0) != op(e4,e0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f217,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f218,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f219,plain,
op(e1,e0) != op(e4,e0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f220,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f221,plain,
op(e2,e0) != op(e4,e0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f222,plain,
op(e3,e0) != op(e4,e0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f223,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f224,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f225,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f226,plain,
op(e0,e1) != op(e4,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f227,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f228,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f229,plain,
op(e1,e1) != op(e4,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f230,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f231,plain,
op(e2,e1) != op(e4,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f232,plain,
op(e3,e1) != op(e4,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f233,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f234,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f235,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f236,plain,
op(e0,e2) != op(e4,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f237,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f238,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f239,plain,
op(e1,e2) != op(e4,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f240,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f241,plain,
op(e2,e2) != op(e4,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f242,plain,
op(e3,e2) != op(e4,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f243,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f244,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f245,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f246,plain,
op(e0,e3) != op(e4,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f247,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f248,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f249,plain,
op(e1,e3) != op(e4,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f250,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f251,plain,
op(e2,e3) != op(e4,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f252,plain,
op(e3,e3) != op(e4,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f253,plain,
op(e0,e4) != op(e1,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f254,plain,
op(e0,e4) != op(e2,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f255,plain,
op(e0,e4) != op(e3,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f256,plain,
op(e0,e4) != op(e4,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f257,plain,
op(e1,e4) != op(e2,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f258,plain,
op(e1,e4) != op(e3,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f259,plain,
op(e1,e4) != op(e4,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f260,plain,
op(e2,e4) != op(e3,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f261,plain,
op(e2,e4) != op(e4,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f262,plain,
op(e3,e4) != op(e4,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f263,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f264,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f265,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f266,plain,
op(e0,e0) != op(e0,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f267,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f268,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f269,plain,
op(e0,e1) != op(e0,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f270,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f271,plain,
op(e0,e2) != op(e0,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f272,plain,
op(e0,e3) != op(e0,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f273,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f274,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f275,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f276,plain,
op(e1,e0) != op(e1,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f277,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f278,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f279,plain,
op(e1,e1) != op(e1,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f280,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f281,plain,
op(e1,e2) != op(e1,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f282,plain,
op(e1,e3) != op(e1,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f283,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f284,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f285,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f286,plain,
op(e2,e0) != op(e2,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f287,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f288,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f289,plain,
op(e2,e1) != op(e2,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f290,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f291,plain,
op(e2,e2) != op(e2,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f292,plain,
op(e2,e3) != op(e2,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f293,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f295,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f296,plain,
op(e3,e0) != op(e3,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f297,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f298,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f299,plain,
op(e3,e1) != op(e3,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f300,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f301,plain,
op(e3,e2) != op(e3,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f302,plain,
op(e3,e3) != op(e3,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f303,plain,
op(e4,e0) != op(e4,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f304,plain,
op(e4,e0) != op(e4,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f305,plain,
op(e4,e0) != op(e4,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f306,plain,
op(e4,e0) != op(e4,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f307,plain,
op(e4,e1) != op(e4,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f308,plain,
op(e4,e1) != op(e4,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f309,plain,
op(e4,e1) != op(e4,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f310,plain,
op(e4,e2) != op(e4,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f311,plain,
op(e4,e2) != op(e4,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f312,plain,
op(e4,e3) != op(e4,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f313,plain,
e0 != e1,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f314,plain,
e0 != e2,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f315,plain,
e0 != e3,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f316,plain,
e0 != e4,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f317,plain,
e1 != e2,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f318,plain,
e1 != e3,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f319,plain,
e1 != e4,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f320,plain,
e2 != e3,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f321,plain,
e2 != e4,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f322,plain,
e3 != e4,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f323,definition,
( sP0_prd
<=> ( ( ( ( e3 != unit
& op(e4,e3) = e4 )
| op(e4,e4) != e3 )
& ( ( e3 != unit
& op(e4,e3) = e3 )
| op(e4,e3) != e3 )
& ( ( e3 != unit
& op(e4,e3) = e2 )
| op(e4,e2) != e3 )
& ( ( e3 != unit
& op(e4,e3) = e1 )
| op(e4,e1) != e3 )
& ( ( e3 != unit
& op(e4,e3) = e0 )
| op(e4,e0) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e4 )
| op(e3,e4) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e3 )
| op(e3,e3) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e2 )
| op(e3,e2) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e1 )
| op(e3,e1) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e0 )
| op(e3,e0) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e4 )
| op(e2,e4) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e3 )
| op(e2,e3) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e2 )
| op(e2,e2) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e1 )
| op(e2,e1) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e0 )
| op(e2,e0) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e4 )
| op(e1,e4) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e3 )
| op(e1,e3) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e2 )
| op(e1,e2) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e1 )
| op(e1,e1) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e0 )
| op(e1,e0) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e4 )
| op(e0,e4) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e3 )
| op(e0,e3) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e2 )
| op(e0,e2) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e1 )
| op(e0,e1) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e0 )
| op(e0,e0) != e3 ) )
| ( ( ( e2 != unit
& op(e4,e2) = e4 )
| op(e4,e4) != e2 )
& ( ( e2 != unit
& op(e4,e2) = e3 )
| op(e4,e3) != e2 )
& ( ( e2 != unit
& op(e4,e2) = e2 )
| op(e4,e2) != e2 )
& ( ( e2 != unit
& op(e4,e2) = e1 )
| op(e4,e1) != e2 )
& ( ( e2 != unit
& op(e4,e2) = e0 )
| op(e4,e0) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e4 )
| op(e3,e4) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e3 )
| op(e3,e3) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e2 )
| op(e3,e2) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e1 )
| op(e3,e1) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e0 )
| op(e3,e0) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e4 )
| op(e2,e4) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e3 )
| op(e2,e3) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e2 )
| op(e2,e2) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e1 )
| op(e2,e1) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e0 )
| op(e2,e0) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e4 )
| op(e1,e4) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e3 )
| op(e1,e3) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e2 )
| op(e1,e2) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e1 )
| op(e1,e1) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e0 )
| op(e1,e0) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e4 )
| op(e0,e4) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e3 )
| op(e0,e3) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e2 )
| op(e0,e2) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e1 )
| op(e0,e1) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e0 )
| op(e0,e0) != e2 ) )
| ( ( ( e1 != unit
& op(e4,e1) = e4 )
| op(e4,e4) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e3 )
| op(e4,e3) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e2 )
| op(e4,e2) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e1 )
| op(e4,e1) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e0 )
| op(e4,e0) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e4 )
| op(e3,e4) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e3 )
| op(e3,e3) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e2 )
| op(e3,e2) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e1 )
| op(e3,e1) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e0 )
| op(e3,e0) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e4 )
| op(e2,e4) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e3 )
| op(e2,e3) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e2 )
| op(e2,e2) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e1 )
| op(e2,e1) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e0 )
| op(e2,e0) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e4 )
| op(e1,e4) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e3 )
| op(e1,e3) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e2 )
| op(e1,e2) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e1 )
| op(e1,e1) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e0 )
| op(e1,e0) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e4 )
| op(e0,e4) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e3 )
| op(e0,e3) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e2 )
| op(e0,e2) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e1 )
| op(e0,e1) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ) )
| ( ( ( e0 != unit
& op(e4,e0) = e4 )
| op(e4,e4) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e3 )
| op(e4,e3) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e2 )
| op(e4,e2) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e1 )
| op(e4,e1) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e0 )
| op(e4,e0) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e4 )
| op(e3,e4) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e3 )
| op(e3,e3) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e2 )
| op(e3,e2) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e1 )
| op(e3,e1) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e0 )
| op(e3,e0) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e4 )
| op(e2,e4) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e3 )
| op(e2,e3) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e2 )
| op(e2,e2) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e1 )
| op(e2,e1) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e0 )
| op(e2,e0) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e4 )
| op(e1,e4) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e3 )
| op(e1,e3) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e2 )
| op(e1,e2) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e1 )
| op(e1,e1) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e0 )
| op(e1,e0) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| op(e0,e4) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e3 )
| op(e0,e3) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| op(e0,e2) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| op(e0,e1) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f324,plain,
( ( ( ( e4 != unit
& op(e4,e4) = e4 )
| op(e4,e4) != e4 )
& ( ( e4 != unit
& op(e4,e4) = e3 )
| op(e4,e3) != e4 )
& ( ( e4 != unit
& op(e4,e4) = e2 )
| op(e4,e2) != e4 )
& ( ( e4 != unit
& op(e4,e4) = e1 )
| op(e4,e1) != e4 )
& ( ( e4 != unit
& op(e4,e4) = e0 )
| op(e4,e0) != e4 )
& ( ( e4 != unit
& op(e3,e4) = e4 )
| op(e3,e4) != e4 )
& ( ( e4 != unit
& op(e3,e4) = e3 )
| op(e3,e3) != e4 )
& ( ( e4 != unit
& op(e3,e4) = e2 )
| op(e3,e2) != e4 )
& ( ( e4 != unit
& op(e3,e4) = e1 )
| op(e3,e1) != e4 )
& ( ( e4 != unit
& op(e3,e4) = e0 )
| op(e3,e0) != e4 )
& ( ( e4 != unit
& op(e2,e4) = e4 )
| op(e2,e4) != e4 )
& ( ( e4 != unit
& op(e2,e4) = e3 )
| op(e2,e3) != e4 )
& ( ( e4 != unit
& op(e2,e4) = e2 )
| op(e2,e2) != e4 )
& ( ( e4 != unit
& op(e2,e4) = e1 )
| op(e2,e1) != e4 )
& ( ( e4 != unit
& op(e2,e4) = e0 )
| op(e2,e0) != e4 )
& ( ( e4 != unit
& op(e1,e4) = e4 )
| op(e1,e4) != e4 )
& ( ( e4 != unit
& op(e1,e4) = e3 )
| op(e1,e3) != e4 )
& ( ( e4 != unit
& op(e1,e4) = e2 )
| op(e1,e2) != e4 )
& ( ( e4 != unit
& op(e1,e4) = e1 )
| op(e1,e1) != e4 )
& ( ( e4 != unit
& op(e1,e4) = e0 )
| op(e1,e0) != e4 )
& ( ( e4 != unit
& op(e0,e4) = e4 )
| op(e0,e4) != e4 )
& ( ( e4 != unit
& op(e0,e4) = e3 )
| op(e0,e3) != e4 )
& ( ( e4 != unit
& op(e0,e4) = e2 )
| op(e0,e2) != e4 )
& ( ( e4 != unit
& op(e0,e4) = e1 )
| op(e0,e1) != e4 )
& ( ( e4 != unit
& op(e0,e4) = e0 )
| op(e0,e0) != e4 ) )
| sP0_prd ),
inference(formula_renaming,[status(thm)],[f6,f323]) ).
fof(f325,plain,
( op(e0,e4) = e0
| op(e0,e0) != e4
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f324]) ).
fof(f326,plain,
( e4 != unit
| op(e0,e0) != e4
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f324]) ).
fof(f327,plain,
( op(e0,e4) = e1
| op(e0,e1) != e4
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f324]) ).
fof(f328,plain,
( e4 != unit
| op(e0,e1) != e4
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f324]) ).
fof(f329,plain,
( op(e0,e4) = e2
| op(e0,e2) != e4
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f324]) ).
fof(f330,plain,
( e4 != unit
| op(e0,e2) != e4
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f324]) ).
fof(f331,plain,
( op(e0,e4) = e3
| op(e0,e3) != e4
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f324]) ).
fof(f332,plain,
( e4 != unit
| op(e0,e3) != e4
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f324]) ).
fof(f335,plain,
( op(e1,e4) = e0
| op(e1,e0) != e4
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f324]) ).
fof(f337,plain,
( op(e1,e4) = e1
| op(e1,e1) != e4
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f324]) ).
fof(f339,plain,
( op(e1,e4) = e2
| op(e1,e2) != e4
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f324]) ).
fof(f341,plain,
( op(e1,e4) = e3
| op(e1,e3) != e4
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f324]) ).
fof(f345,plain,
( op(e2,e4) = e0
| op(e2,e0) != e4
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f324]) ).
fof(f347,plain,
( op(e2,e4) = e1
| op(e2,e1) != e4
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f324]) ).
fof(f349,plain,
( op(e2,e4) = e2
| op(e2,e2) != e4
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f324]) ).
fof(f351,plain,
( op(e2,e4) = e3
| op(e2,e3) != e4
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f324]) ).
fof(f355,plain,
( op(e3,e4) = e0
| op(e3,e0) != e4
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f324]) ).
fof(f357,plain,
( op(e3,e4) = e1
| op(e3,e1) != e4
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f324]) ).
fof(f359,plain,
( op(e3,e4) = e2
| op(e3,e2) != e4
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f324]) ).
fof(f361,plain,
( op(e3,e4) = e3
| op(e3,e3) != e4
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f324]) ).
fof(f365,plain,
( op(e4,e4) = e0
| op(e4,e0) != e4
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f324]) ).
fof(f367,plain,
( op(e4,e4) = e1
| op(e4,e1) != e4
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f324]) ).
fof(f369,plain,
( op(e4,e4) = e2
| op(e4,e2) != e4
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f324]) ).
fof(f371,plain,
( op(e4,e4) = e3
| op(e4,e3) != e4
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f324]) ).
fof(f375,plain,
( e4 != op(op(e2,e2),op(e2,e2))
| e3 != op(e2,e2)
| e1 != op(op(e2,e2),e2)
| e0 != op(op(op(e2,e2),e2),op(op(e2,e2),e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f376,plain,
( e4 != op(op(e2,e2),op(e2,e2))
| e3 != op(e2,e2)
| e1 != op(op(e2,e2),e2)
| e0 != op(op(op(e2,e2),e2),op(op(e2,e2),e2)) ),
inference(cnf_transformation,[status(thm)],[f375]) ).
fof(f377,plain,
( e3 != op(op(e2,e2),op(e2,e2))
| e4 != op(e2,e2)
| e1 != op(op(e2,e2),e2)
| e0 != op(op(op(e2,e2),e2),op(op(e2,e2),e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f378,plain,
( e3 != op(op(e2,e2),op(e2,e2))
| e4 != op(e2,e2)
| e1 != op(op(e2,e2),e2)
| e0 != op(op(op(e2,e2),e2),op(op(e2,e2),e2)) ),
inference(cnf_transformation,[status(thm)],[f377]) ).
fof(f387,plain,
( e4 != op(op(e1,e1),op(e1,e1))
| e3 != op(e1,e1)
| e2 != op(op(e1,e1),e1)
| e0 != op(op(op(e1,e1),e1),op(op(e1,e1),e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f388,plain,
( e4 != op(op(e1,e1),op(e1,e1))
| e3 != op(e1,e1)
| e2 != op(op(e1,e1),e1)
| e0 != op(op(op(e1,e1),e1),op(op(e1,e1),e1)) ),
inference(cnf_transformation,[status(thm)],[f387]) ).
fof(f397,plain,
( e1 != op(op(e4,e4),op(e4,e4))
| e3 != op(e4,e4)
| e2 != op(op(e4,e4),e4)
| e0 != op(op(op(e4,e4),e4),op(op(e4,e4),e4)) ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f398,plain,
( e1 != op(op(e4,e4),op(e4,e4))
| e3 != op(e4,e4)
| e2 != op(op(e4,e4),e4)
| e0 != op(op(op(e4,e4),e4),op(op(e4,e4),e4)) ),
inference(cnf_transformation,[status(thm)],[f397]) ).
fof(f399,plain,
( e4 != op(op(e1,e1),op(e1,e1))
| e2 != op(e1,e1)
| e3 != op(op(e1,e1),e1)
| e0 != op(op(op(e1,e1),e1),op(op(e1,e1),e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f19]) ).
fof(f400,plain,
( e4 != op(op(e1,e1),op(e1,e1))
| e2 != op(e1,e1)
| e3 != op(op(e1,e1),e1)
| e0 != op(op(op(e1,e1),e1),op(op(e1,e1),e1)) ),
inference(cnf_transformation,[status(thm)],[f399]) ).
fof(f401,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| e4 != op(e1,e1)
| e3 != op(op(e1,e1),e1)
| e0 != op(op(op(e1,e1),e1),op(op(e1,e1),e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f20]) ).
fof(f402,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| e4 != op(e1,e1)
| e3 != op(op(e1,e1),e1)
| e0 != op(op(op(e1,e1),e1),op(op(e1,e1),e1)) ),
inference(cnf_transformation,[status(thm)],[f401]) ).
fof(f419,plain,
( e2 != op(op(e3,e3),op(e3,e3))
| e1 != op(e3,e3)
| e4 != op(op(e3,e3),e3)
| e0 != op(op(op(e3,e3),e3),op(op(e3,e3),e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f29]) ).
fof(f420,plain,
( e2 != op(op(e3,e3),op(e3,e3))
| e1 != op(e3,e3)
| e4 != op(op(e3,e3),e3)
| e0 != op(op(op(e3,e3),e3),op(op(e3,e3),e3)) ),
inference(cnf_transformation,[status(thm)],[f419]) ).
fof(f421,plain,
( e1 != op(op(e3,e3),op(e3,e3))
| e2 != op(e3,e3)
| e4 != op(op(e3,e3),e3)
| e0 != op(op(op(e3,e3),e3),op(op(e3,e3),e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f30]) ).
fof(f422,plain,
( e1 != op(op(e3,e3),op(e3,e3))
| e2 != op(e3,e3)
| e4 != op(op(e3,e3),e3)
| e0 != op(op(op(e3,e3),e3),op(op(e3,e3),e3)) ),
inference(cnf_transformation,[status(thm)],[f421]) ).
fof(f427,plain,
( e4 != op(op(e3,e3),op(e3,e3))
| e2 != op(e3,e3)
| e0 != op(op(e3,e3),e3)
| e1 != op(op(op(e3,e3),e3),op(op(e3,e3),e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f33]) ).
fof(f428,plain,
( e4 != op(op(e3,e3),op(e3,e3))
| e2 != op(e3,e3)
| e0 != op(op(e3,e3),e3)
| e1 != op(op(op(e3,e3),e3),op(op(e3,e3),e3)) ),
inference(cnf_transformation,[status(thm)],[f427]) ).
fof(f429,plain,
( e2 != op(op(e3,e3),op(e3,e3))
| e4 != op(e3,e3)
| e0 != op(op(e3,e3),e3)
| e1 != op(op(op(e3,e3),e3),op(op(e3,e3),e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f34]) ).
fof(f430,plain,
( e2 != op(op(e3,e3),op(e3,e3))
| e4 != op(e3,e3)
| e0 != op(op(e3,e3),e3)
| e1 != op(op(op(e3,e3),e3),op(op(e3,e3),e3)) ),
inference(cnf_transformation,[status(thm)],[f429]) ).
fof(f439,plain,
( e4 != op(op(e3,e3),op(e3,e3))
| e0 != op(e3,e3)
| e2 != op(op(e3,e3),e3)
| e1 != op(op(op(e3,e3),e3),op(op(e3,e3),e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f39]) ).
fof(f440,plain,
( e4 != op(op(e3,e3),op(e3,e3))
| e0 != op(e3,e3)
| e2 != op(op(e3,e3),e3)
| e1 != op(op(op(e3,e3),e3),op(op(e3,e3),e3)) ),
inference(cnf_transformation,[status(thm)],[f439]) ).
fof(f443,plain,
( e3 != op(op(e4,e4),op(e4,e4))
| e0 != op(e4,e4)
| e2 != op(op(e4,e4),e4)
| e1 != op(op(op(e4,e4),e4),op(op(e4,e4),e4)) ),
inference(pre_NNF_transformation,[status(thm)],[f41]) ).
fof(f444,plain,
( e3 != op(op(e4,e4),op(e4,e4))
| e0 != op(e4,e4)
| e2 != op(op(e4,e4),e4)
| e1 != op(op(op(e4,e4),e4),op(op(e4,e4),e4)) ),
inference(cnf_transformation,[status(thm)],[f443]) ).
fof(f445,plain,
( e0 != op(op(e4,e4),op(e4,e4))
| e3 != op(e4,e4)
| e2 != op(op(e4,e4),e4)
| e1 != op(op(op(e4,e4),e4),op(op(e4,e4),e4)) ),
inference(pre_NNF_transformation,[status(thm)],[f42]) ).
fof(f446,plain,
( e0 != op(op(e4,e4),op(e4,e4))
| e3 != op(e4,e4)
| e2 != op(op(e4,e4),e4)
| e1 != op(op(op(e4,e4),e4),op(op(e4,e4),e4)) ),
inference(cnf_transformation,[status(thm)],[f445]) ).
fof(f451,plain,
( e4 != op(op(e2,e2),op(e2,e2))
| e0 != op(e2,e2)
| e3 != op(op(e2,e2),e2)
| e1 != op(op(op(e2,e2),e2),op(op(e2,e2),e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f45]) ).
fof(f452,plain,
( e4 != op(op(e2,e2),op(e2,e2))
| e0 != op(e2,e2)
| e3 != op(op(e2,e2),e2)
| e1 != op(op(op(e2,e2),e2),op(op(e2,e2),e2)) ),
inference(cnf_transformation,[status(thm)],[f451]) ).
fof(f455,plain,
( e2 != op(op(e4,e4),op(e4,e4))
| e0 != op(e4,e4)
| e3 != op(op(e4,e4),e4)
| e1 != op(op(op(e4,e4),e4),op(op(e4,e4),e4)) ),
inference(pre_NNF_transformation,[status(thm)],[f47]) ).
fof(f456,plain,
( e2 != op(op(e4,e4),op(e4,e4))
| e0 != op(e4,e4)
| e3 != op(op(e4,e4),e4)
| e1 != op(op(op(e4,e4),e4),op(op(e4,e4),e4)) ),
inference(cnf_transformation,[status(thm)],[f455]) ).
fof(f467,plain,
( e2 != op(op(e3,e3),op(e3,e3))
| e0 != op(e3,e3)
| e4 != op(op(e3,e3),e3)
| e1 != op(op(op(e3,e3),e3),op(op(e3,e3),e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f53]) ).
fof(f468,plain,
( e2 != op(op(e3,e3),op(e3,e3))
| e0 != op(e3,e3)
| e4 != op(op(e3,e3),e3)
| e1 != op(op(op(e3,e3),e3),op(op(e3,e3),e3)) ),
inference(cnf_transformation,[status(thm)],[f467]) ).
fof(f469,plain,
( e0 != op(op(e3,e3),op(e3,e3))
| e2 != op(e3,e3)
| e4 != op(op(e3,e3),e3)
| e1 != op(op(op(e3,e3),e3),op(op(e3,e3),e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f54]) ).
fof(f470,plain,
( e0 != op(op(e3,e3),op(e3,e3))
| e2 != op(e3,e3)
| e4 != op(op(e3,e3),e3)
| e1 != op(op(op(e3,e3),e3),op(op(e3,e3),e3)) ),
inference(cnf_transformation,[status(thm)],[f469]) ).
fof(f473,plain,
( e3 != op(op(e1,e1),op(e1,e1))
| e4 != op(e1,e1)
| e0 != op(op(e1,e1),e1)
| e2 != op(op(op(e1,e1),e1),op(op(e1,e1),e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f56]) ).
fof(f474,plain,
( e3 != op(op(e1,e1),op(e1,e1))
| e4 != op(e1,e1)
| e0 != op(op(e1,e1),e1)
| e2 != op(op(op(e1,e1),e1),op(op(e1,e1),e1)) ),
inference(cnf_transformation,[status(thm)],[f473]) ).
fof(f477,plain,
( e1 != op(op(e3,e3),op(e3,e3))
| e4 != op(e3,e3)
| e0 != op(op(e3,e3),e3)
| e2 != op(op(op(e3,e3),e3),op(op(e3,e3),e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f58]) ).
fof(f478,plain,
( e1 != op(op(e3,e3),op(e3,e3))
| e4 != op(e3,e3)
| e0 != op(op(e3,e3),e3)
| e2 != op(op(op(e3,e3),e3),op(op(e3,e3),e3)) ),
inference(cnf_transformation,[status(thm)],[f477]) ).
fof(f485,plain,
( e3 != op(op(e0,e0),op(e0,e0))
| e4 != op(e0,e0)
| e1 != op(op(e0,e0),e0)
| e2 != op(op(op(e0,e0),e0),op(op(e0,e0),e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f62]) ).
fof(f486,plain,
( e3 != op(op(e0,e0),op(e0,e0))
| e4 != op(e0,e0)
| e1 != op(op(e0,e0),e0)
| e2 != op(op(op(e0,e0),e0),op(op(e0,e0),e0)) ),
inference(cnf_transformation,[status(thm)],[f485]) ).
fof(f487,plain,
( e4 != op(op(e3,e3),op(e3,e3))
| e0 != op(e3,e3)
| e1 != op(op(e3,e3),e3)
| e2 != op(op(op(e3,e3),e3),op(op(e3,e3),e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f63]) ).
fof(f488,plain,
( e4 != op(op(e3,e3),op(e3,e3))
| e0 != op(e3,e3)
| e1 != op(op(e3,e3),e3)
| e2 != op(op(op(e3,e3),e3),op(op(e3,e3),e3)) ),
inference(cnf_transformation,[status(thm)],[f487]) ).
fof(f489,plain,
( e0 != op(op(e3,e3),op(e3,e3))
| e4 != op(e3,e3)
| e1 != op(op(e3,e3),e3)
| e2 != op(op(op(e3,e3),e3),op(op(e3,e3),e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f64]) ).
fof(f490,plain,
( e0 != op(op(e3,e3),op(e3,e3))
| e4 != op(e3,e3)
| e1 != op(op(e3,e3),e3)
| e2 != op(op(op(e3,e3),e3),op(op(e3,e3),e3)) ),
inference(cnf_transformation,[status(thm)],[f489]) ).
fof(f491,plain,
( e3 != op(op(e4,e4),op(e4,e4))
| e0 != op(e4,e4)
| e1 != op(op(e4,e4),e4)
| e2 != op(op(op(e4,e4),e4),op(op(e4,e4),e4)) ),
inference(pre_NNF_transformation,[status(thm)],[f65]) ).
fof(f492,plain,
( e3 != op(op(e4,e4),op(e4,e4))
| e0 != op(e4,e4)
| e1 != op(op(e4,e4),e4)
| e2 != op(op(op(e4,e4),e4),op(op(e4,e4),e4)) ),
inference(cnf_transformation,[status(thm)],[f491]) ).
fof(f499,plain,
( e4 != op(op(e1,e1),op(e1,e1))
| e0 != op(e1,e1)
| e3 != op(op(e1,e1),e1)
| e2 != op(op(op(e1,e1),e1),op(op(e1,e1),e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f69]) ).
fof(f500,plain,
( e4 != op(op(e1,e1),op(e1,e1))
| e0 != op(e1,e1)
| e3 != op(op(e1,e1),e1)
| e2 != op(op(op(e1,e1),e1),op(op(e1,e1),e1)) ),
inference(cnf_transformation,[status(thm)],[f499]) ).
fof(f503,plain,
( e1 != op(op(e4,e4),op(e4,e4))
| e0 != op(e4,e4)
| e3 != op(op(e4,e4),e4)
| e2 != op(op(op(e4,e4),e4),op(op(e4,e4),e4)) ),
inference(pre_NNF_transformation,[status(thm)],[f71]) ).
fof(f504,plain,
( e1 != op(op(e4,e4),op(e4,e4))
| e0 != op(e4,e4)
| e3 != op(op(e4,e4),e4)
| e2 != op(op(op(e4,e4),e4),op(op(e4,e4),e4)) ),
inference(cnf_transformation,[status(thm)],[f503]) ).
fof(f511,plain,
( e3 != op(op(e1,e1),op(e1,e1))
| e0 != op(e1,e1)
| e4 != op(op(e1,e1),e1)
| e2 != op(op(op(e1,e1),e1),op(op(e1,e1),e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f75]) ).
fof(f512,plain,
( e3 != op(op(e1,e1),op(e1,e1))
| e0 != op(e1,e1)
| e4 != op(op(e1,e1),e1)
| e2 != op(op(op(e1,e1),e1),op(op(e1,e1),e1)) ),
inference(cnf_transformation,[status(thm)],[f511]) ).
fof(f513,plain,
( e0 != op(op(e1,e1),op(e1,e1))
| e3 != op(e1,e1)
| e4 != op(op(e1,e1),e1)
| e2 != op(op(op(e1,e1),e1),op(op(e1,e1),e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f76]) ).
fof(f514,plain,
( e0 != op(op(e1,e1),op(e1,e1))
| e3 != op(e1,e1)
| e4 != op(op(e1,e1),e1)
| e2 != op(op(op(e1,e1),e1),op(op(e1,e1),e1)) ),
inference(cnf_transformation,[status(thm)],[f513]) ).
fof(f515,plain,
( e1 != op(op(e3,e3),op(e3,e3))
| e0 != op(e3,e3)
| e4 != op(op(e3,e3),e3)
| e2 != op(op(op(e3,e3),e3),op(op(e3,e3),e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f77]) ).
fof(f516,plain,
( e1 != op(op(e3,e3),op(e3,e3))
| e0 != op(e3,e3)
| e4 != op(op(e3,e3),e3)
| e2 != op(op(op(e3,e3),e3),op(op(e3,e3),e3)) ),
inference(cnf_transformation,[status(thm)],[f515]) ).
fof(f519,plain,
( e4 != op(op(e1,e1),op(e1,e1))
| e2 != op(e1,e1)
| e0 != op(op(e1,e1),e1)
| e3 != op(op(op(e1,e1),e1),op(op(e1,e1),e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f79]) ).
fof(f520,plain,
( e4 != op(op(e1,e1),op(e1,e1))
| e2 != op(e1,e1)
| e0 != op(op(e1,e1),e1)
| e3 != op(op(op(e1,e1),e1),op(op(e1,e1),e1)) ),
inference(cnf_transformation,[status(thm)],[f519]) ).
fof(f523,plain,
( e4 != op(op(e2,e2),op(e2,e2))
| e1 != op(e2,e2)
| e0 != op(op(e2,e2),e2)
| e3 != op(op(op(e2,e2),e2),op(op(e2,e2),e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f81]) ).
fof(f524,plain,
( e4 != op(op(e2,e2),op(e2,e2))
| e1 != op(e2,e2)
| e0 != op(op(e2,e2),e2)
| e3 != op(op(op(e2,e2),e2),op(op(e2,e2),e2)) ),
inference(cnf_transformation,[status(thm)],[f523]) ).
fof(f535,plain,
( e4 != op(op(e2,e2),op(e2,e2))
| e0 != op(e2,e2)
| e1 != op(op(e2,e2),e2)
| e3 != op(op(op(e2,e2),e2),op(op(e2,e2),e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f87]) ).
fof(f536,plain,
( e4 != op(op(e2,e2),op(e2,e2))
| e0 != op(e2,e2)
| e1 != op(op(e2,e2),e2)
| e3 != op(op(op(e2,e2),e2),op(op(e2,e2),e2)) ),
inference(cnf_transformation,[status(thm)],[f535]) ).
fof(f539,plain,
( e2 != op(op(e4,e4),op(e4,e4))
| e0 != op(e4,e4)
| e1 != op(op(e4,e4),e4)
| e3 != op(op(op(e4,e4),e4),op(op(e4,e4),e4)) ),
inference(pre_NNF_transformation,[status(thm)],[f89]) ).
fof(f540,plain,
( e2 != op(op(e4,e4),op(e4,e4))
| e0 != op(e4,e4)
| e1 != op(op(e4,e4),e4)
| e3 != op(op(op(e4,e4),e4),op(op(e4,e4),e4)) ),
inference(cnf_transformation,[status(thm)],[f539]) ).
fof(f543,plain,
( e4 != op(op(e0,e0),op(e0,e0))
| e1 != op(e0,e0)
| e2 != op(op(e0,e0),e0)
| e3 != op(op(op(e0,e0),e0),op(op(e0,e0),e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f91]) ).
fof(f544,plain,
( e4 != op(op(e0,e0),op(e0,e0))
| e1 != op(e0,e0)
| e2 != op(op(e0,e0),e0)
| e3 != op(op(op(e0,e0),e0),op(op(e0,e0),e0)) ),
inference(cnf_transformation,[status(thm)],[f543]) ).
fof(f547,plain,
( e4 != op(op(e1,e1),op(e1,e1))
| e0 != op(e1,e1)
| e2 != op(op(e1,e1),e1)
| e3 != op(op(op(e1,e1),e1),op(op(e1,e1),e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f93]) ).
fof(f548,plain,
( e4 != op(op(e1,e1),op(e1,e1))
| e0 != op(e1,e1)
| e2 != op(op(e1,e1),e1)
| e3 != op(op(op(e1,e1),e1),op(op(e1,e1),e1)) ),
inference(cnf_transformation,[status(thm)],[f547]) ).
fof(f551,plain,
( e1 != op(op(e4,e4),op(e4,e4))
| e0 != op(e4,e4)
| e2 != op(op(e4,e4),e4)
| e3 != op(op(op(e4,e4),e4),op(op(e4,e4),e4)) ),
inference(pre_NNF_transformation,[status(thm)],[f95]) ).
fof(f552,plain,
( e1 != op(op(e4,e4),op(e4,e4))
| e0 != op(e4,e4)
| e2 != op(op(e4,e4),e4)
| e3 != op(op(op(e4,e4),e4),op(op(e4,e4),e4)) ),
inference(cnf_transformation,[status(thm)],[f551]) ).
fof(f553,plain,
( e0 != op(op(e4,e4),op(e4,e4))
| e1 != op(e4,e4)
| e2 != op(op(e4,e4),e4)
| e3 != op(op(op(e4,e4),e4),op(op(e4,e4),e4)) ),
inference(pre_NNF_transformation,[status(thm)],[f96]) ).
fof(f554,plain,
( e0 != op(op(e4,e4),op(e4,e4))
| e1 != op(e4,e4)
| e2 != op(op(e4,e4),e4)
| e3 != op(op(op(e4,e4),e4),op(op(e4,e4),e4)) ),
inference(cnf_transformation,[status(thm)],[f553]) ).
fof(f555,plain,
( e2 != op(op(e0,e0),op(e0,e0))
| e1 != op(e0,e0)
| e4 != op(op(e0,e0),e0)
| e3 != op(op(op(e0,e0),e0),op(op(e0,e0),e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f97]) ).
fof(f556,plain,
( e2 != op(op(e0,e0),op(e0,e0))
| e1 != op(e0,e0)
| e4 != op(op(e0,e0),e0)
| e3 != op(op(op(e0,e0),e0),op(op(e0,e0),e0)) ),
inference(cnf_transformation,[status(thm)],[f555]) ).
fof(f565,plain,
( e0 != op(op(e2,e2),op(e2,e2))
| e1 != op(e2,e2)
| e4 != op(op(e2,e2),e2)
| e3 != op(op(op(e2,e2),e2),op(op(e2,e2),e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f102]) ).
fof(f566,plain,
( e0 != op(op(e2,e2),op(e2,e2))
| e1 != op(e2,e2)
| e4 != op(op(e2,e2),e2)
| e3 != op(op(op(e2,e2),e2),op(op(e2,e2),e2)) ),
inference(cnf_transformation,[status(thm)],[f565]) ).
fof(f567,plain,
( e3 != op(op(e1,e1),op(e1,e1))
| e2 != op(e1,e1)
| e0 != op(op(e1,e1),e1)
| e4 != op(op(op(e1,e1),e1),op(op(e1,e1),e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f103]) ).
fof(f568,plain,
( e3 != op(op(e1,e1),op(e1,e1))
| e2 != op(e1,e1)
| e0 != op(op(e1,e1),e1)
| e4 != op(op(op(e1,e1),e1),op(op(e1,e1),e1)) ),
inference(cnf_transformation,[status(thm)],[f567]) ).
fof(f577,plain,
( e1 != op(op(e3,e3),op(e3,e3))
| e2 != op(e3,e3)
| e0 != op(op(e3,e3),e3)
| e4 != op(op(op(e3,e3),e3),op(op(e3,e3),e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f108]) ).
fof(f578,plain,
( e1 != op(op(e3,e3),op(e3,e3))
| e2 != op(e3,e3)
| e0 != op(op(e3,e3),e3)
| e4 != op(op(op(e3,e3),e3),op(op(e3,e3),e3)) ),
inference(cnf_transformation,[status(thm)],[f577]) ).
fof(f585,plain,
( e0 != op(op(e2,e2),op(e2,e2))
| e3 != op(e2,e2)
| e1 != op(op(e2,e2),e2)
| e4 != op(op(op(e2,e2),e2),op(op(e2,e2),e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f112]) ).
fof(f586,plain,
( e0 != op(op(e2,e2),op(e2,e2))
| e3 != op(e2,e2)
| e1 != op(op(e2,e2),e2)
| e4 != op(op(op(e2,e2),e2),op(op(e2,e2),e2)) ),
inference(cnf_transformation,[status(thm)],[f585]) ).
fof(f587,plain,
( e2 != op(op(e3,e3),op(e3,e3))
| e0 != op(e3,e3)
| e1 != op(op(e3,e3),e3)
| e4 != op(op(op(e3,e3),e3),op(op(e3,e3),e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f113]) ).
fof(f588,plain,
( e2 != op(op(e3,e3),op(e3,e3))
| e0 != op(e3,e3)
| e1 != op(op(e3,e3),e3)
| e4 != op(op(op(e3,e3),e3),op(op(e3,e3),e3)) ),
inference(cnf_transformation,[status(thm)],[f587]) ).
fof(f589,plain,
( e0 != op(op(e3,e3),op(e3,e3))
| e2 != op(e3,e3)
| e1 != op(op(e3,e3),e3)
| e4 != op(op(op(e3,e3),e3),op(op(e3,e3),e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f114]) ).
fof(f590,plain,
( e0 != op(op(e3,e3),op(e3,e3))
| e2 != op(e3,e3)
| e1 != op(op(e3,e3),e3)
| e4 != op(op(op(e3,e3),e3),op(op(e3,e3),e3)) ),
inference(cnf_transformation,[status(thm)],[f589]) ).
fof(f591,plain,
( e3 != op(op(e0,e0),op(e0,e0))
| e1 != op(e0,e0)
| e2 != op(op(e0,e0),e0)
| e4 != op(op(op(e0,e0),e0),op(op(e0,e0),e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f115]) ).
fof(f592,plain,
( e3 != op(op(e0,e0),op(e0,e0))
| e1 != op(e0,e0)
| e2 != op(op(e0,e0),e0)
| e4 != op(op(op(e0,e0),e0),op(op(e0,e0),e0)) ),
inference(cnf_transformation,[status(thm)],[f591]) ).
fof(f593,plain,
( e1 != op(op(e0,e0),op(e0,e0))
| e3 != op(e0,e0)
| e2 != op(op(e0,e0),e0)
| e4 != op(op(op(e0,e0),e0),op(op(e0,e0),e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f116]) ).
fof(f594,plain,
( e1 != op(op(e0,e0),op(e0,e0))
| e3 != op(e0,e0)
| e2 != op(op(e0,e0),e0)
| e4 != op(op(op(e0,e0),e0),op(op(e0,e0),e0)) ),
inference(cnf_transformation,[status(thm)],[f593]) ).
fof(f599,plain,
( e1 != op(op(e3,e3),op(e3,e3))
| e0 != op(e3,e3)
| e2 != op(op(e3,e3),e3)
| e4 != op(op(op(e3,e3),e3),op(op(e3,e3),e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f119]) ).
fof(f600,plain,
( e1 != op(op(e3,e3),op(e3,e3))
| e0 != op(e3,e3)
| e2 != op(op(e3,e3),e3)
| e4 != op(op(op(e3,e3),e3),op(op(e3,e3),e3)) ),
inference(cnf_transformation,[status(thm)],[f599]) ).
fof(f603,plain,
( e2 != op(op(e0,e0),op(e0,e0))
| e1 != op(e0,e0)
| e3 != op(op(e0,e0),e0)
| e4 != op(op(op(e0,e0),e0),op(op(e0,e0),e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f121]) ).
fof(f604,plain,
( e2 != op(op(e0,e0),op(e0,e0))
| e1 != op(e0,e0)
| e3 != op(op(e0,e0),e0)
| e4 != op(op(op(e0,e0),e0),op(op(e0,e0),e0)) ),
inference(cnf_transformation,[status(thm)],[f603]) ).
fof(f607,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| e0 != op(e1,e1)
| e3 != op(op(e1,e1),e1)
| e4 != op(op(op(e1,e1),e1),op(op(e1,e1),e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f123]) ).
fof(f608,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| e0 != op(e1,e1)
| e3 != op(op(e1,e1),e1)
| e4 != op(op(op(e1,e1),e1),op(op(e1,e1),e1)) ),
inference(cnf_transformation,[status(thm)],[f607]) ).
fof(f615,definition,
( sP1_prd
<=> ( ( ( ( e2 != unit
& op(e4,e2) = e4 )
| op(e4,e4) != e2 )
& ( ( e2 != unit
& op(e4,e2) = e3 )
| op(e4,e3) != e2 )
& ( ( e2 != unit
& op(e4,e2) = e2 )
| op(e4,e2) != e2 )
& ( ( e2 != unit
& op(e4,e2) = e1 )
| op(e4,e1) != e2 )
& ( ( e2 != unit
& op(e4,e2) = e0 )
| op(e4,e0) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e4 )
| op(e3,e4) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e3 )
| op(e3,e3) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e2 )
| op(e3,e2) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e1 )
| op(e3,e1) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e0 )
| op(e3,e0) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e4 )
| op(e2,e4) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e3 )
| op(e2,e3) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e2 )
| op(e2,e2) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e1 )
| op(e2,e1) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e0 )
| op(e2,e0) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e4 )
| op(e1,e4) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e3 )
| op(e1,e3) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e2 )
| op(e1,e2) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e1 )
| op(e1,e1) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e0 )
| op(e1,e0) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e4 )
| op(e0,e4) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e3 )
| op(e0,e3) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e2 )
| op(e0,e2) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e1 )
| op(e0,e1) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e0 )
| op(e0,e0) != e2 ) )
| ( ( ( e1 != unit
& op(e4,e1) = e4 )
| op(e4,e4) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e3 )
| op(e4,e3) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e2 )
| op(e4,e2) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e1 )
| op(e4,e1) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e0 )
| op(e4,e0) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e4 )
| op(e3,e4) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e3 )
| op(e3,e3) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e2 )
| op(e3,e2) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e1 )
| op(e3,e1) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e0 )
| op(e3,e0) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e4 )
| op(e2,e4) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e3 )
| op(e2,e3) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e2 )
| op(e2,e2) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e1 )
| op(e2,e1) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e0 )
| op(e2,e0) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e4 )
| op(e1,e4) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e3 )
| op(e1,e3) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e2 )
| op(e1,e2) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e1 )
| op(e1,e1) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e0 )
| op(e1,e0) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e4 )
| op(e0,e4) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e3 )
| op(e0,e3) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e2 )
| op(e0,e2) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e1 )
| op(e0,e1) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ) )
| ( ( ( e0 != unit
& op(e4,e0) = e4 )
| op(e4,e4) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e3 )
| op(e4,e3) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e2 )
| op(e4,e2) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e1 )
| op(e4,e1) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e0 )
| op(e4,e0) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e4 )
| op(e3,e4) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e3 )
| op(e3,e3) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e2 )
| op(e3,e2) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e1 )
| op(e3,e1) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e0 )
| op(e3,e0) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e4 )
| op(e2,e4) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e3 )
| op(e2,e3) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e2 )
| op(e2,e2) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e1 )
| op(e2,e1) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e0 )
| op(e2,e0) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e4 )
| op(e1,e4) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e3 )
| op(e1,e3) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e2 )
| op(e1,e2) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e1 )
| op(e1,e1) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e0 )
| op(e1,e0) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| op(e0,e4) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e3 )
| op(e0,e3) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| op(e0,e2) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| op(e0,e1) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f616,plain,
( sP0_prd
<=> ( ( ( ( e3 != unit
& op(e4,e3) = e4 )
| op(e4,e4) != e3 )
& ( ( e3 != unit
& op(e4,e3) = e3 )
| op(e4,e3) != e3 )
& ( ( e3 != unit
& op(e4,e3) = e2 )
| op(e4,e2) != e3 )
& ( ( e3 != unit
& op(e4,e3) = e1 )
| op(e4,e1) != e3 )
& ( ( e3 != unit
& op(e4,e3) = e0 )
| op(e4,e0) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e4 )
| op(e3,e4) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e3 )
| op(e3,e3) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e2 )
| op(e3,e2) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e1 )
| op(e3,e1) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e0 )
| op(e3,e0) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e4 )
| op(e2,e4) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e3 )
| op(e2,e3) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e2 )
| op(e2,e2) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e1 )
| op(e2,e1) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e0 )
| op(e2,e0) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e4 )
| op(e1,e4) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e3 )
| op(e1,e3) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e2 )
| op(e1,e2) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e1 )
| op(e1,e1) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e0 )
| op(e1,e0) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e4 )
| op(e0,e4) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e3 )
| op(e0,e3) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e2 )
| op(e0,e2) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e1 )
| op(e0,e1) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e0 )
| op(e0,e0) != e3 ) )
| sP1_prd ) ),
inference(formula_renaming,[status(thm)],[f323,f615]) ).
fof(f617,definition,
( sP2_prd
<=> ( ( ( e3 != unit
& op(e4,e3) = e3 )
| op(e4,e3) != e3 )
& ( ( e3 != unit
& op(e4,e3) = e2 )
| op(e4,e2) != e3 )
& ( ( e3 != unit
& op(e4,e3) = e1 )
| op(e4,e1) != e3 )
& ( ( e3 != unit
& op(e4,e3) = e0 )
| op(e4,e0) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e4 )
| op(e3,e4) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e3 )
| op(e3,e3) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e2 )
| op(e3,e2) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e1 )
| op(e3,e1) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e0 )
| op(e3,e0) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e4 )
| op(e2,e4) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e3 )
| op(e2,e3) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e2 )
| op(e2,e2) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e1 )
| op(e2,e1) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e0 )
| op(e2,e0) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e4 )
| op(e1,e4) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e3 )
| op(e1,e3) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e2 )
| op(e1,e2) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e1 )
| op(e1,e1) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e0 )
| op(e1,e0) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e4 )
| op(e0,e4) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e3 )
| op(e0,e3) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e2 )
| op(e0,e2) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e1 )
| op(e0,e1) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e0 )
| op(e0,e0) != e3 ) ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f618,plain,
( sP0_prd
<=> ( ( ( ( e3 != unit
& op(e4,e3) = e4 )
| op(e4,e4) != e3 )
& sP2_prd )
| sP1_prd ) ),
inference(formula_renaming,[status(thm)],[f616,f617]) ).
fof(f619,plain,
( ( ( ( ( ( e3 = unit
| op(e4,e3) != e4 )
& op(e4,e4) = e3 )
| ~ sP2_prd )
& ~ sP1_prd )
| sP0_prd )
& ( ( ( ( e3 != unit
& op(e4,e3) = e4 )
| op(e4,e4) != e3 )
& sP2_prd )
| sP1_prd
| ~ sP0_prd ) ),
inference(NNF_transformation,[status(thm)],[f618]) ).
fof(f620,plain,
( sP2_prd
| sP1_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f619]) ).
fof(f621,plain,
( op(e4,e3) = e4
| op(e4,e4) != e3
| sP1_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f619]) ).
fof(f622,plain,
( e3 != unit
| op(e4,e4) != e3
| sP1_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f619]) ).
fof(f623,plain,
( ~ sP1_prd
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f619]) ).
fof(f624,plain,
( op(e4,e4) = e3
| ~ sP2_prd
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f619]) ).
fof(f626,definition,
( sP3_prd
<=> ( ( ( ( e1 != unit
& op(e4,e1) = e4 )
| op(e4,e4) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e3 )
| op(e4,e3) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e2 )
| op(e4,e2) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e1 )
| op(e4,e1) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e0 )
| op(e4,e0) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e4 )
| op(e3,e4) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e3 )
| op(e3,e3) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e2 )
| op(e3,e2) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e1 )
| op(e3,e1) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e0 )
| op(e3,e0) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e4 )
| op(e2,e4) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e3 )
| op(e2,e3) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e2 )
| op(e2,e2) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e1 )
| op(e2,e1) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e0 )
| op(e2,e0) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e4 )
| op(e1,e4) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e3 )
| op(e1,e3) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e2 )
| op(e1,e2) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e1 )
| op(e1,e1) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e0 )
| op(e1,e0) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e4 )
| op(e0,e4) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e3 )
| op(e0,e3) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e2 )
| op(e0,e2) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e1 )
| op(e0,e1) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ) )
| ( ( ( e0 != unit
& op(e4,e0) = e4 )
| op(e4,e4) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e3 )
| op(e4,e3) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e2 )
| op(e4,e2) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e1 )
| op(e4,e1) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e0 )
| op(e4,e0) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e4 )
| op(e3,e4) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e3 )
| op(e3,e3) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e2 )
| op(e3,e2) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e1 )
| op(e3,e1) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e0 )
| op(e3,e0) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e4 )
| op(e2,e4) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e3 )
| op(e2,e3) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e2 )
| op(e2,e2) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e1 )
| op(e2,e1) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e0 )
| op(e2,e0) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e4 )
| op(e1,e4) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e3 )
| op(e1,e3) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e2 )
| op(e1,e2) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e1 )
| op(e1,e1) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e0 )
| op(e1,e0) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| op(e0,e4) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e3 )
| op(e0,e3) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| op(e0,e2) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| op(e0,e1) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f627,plain,
( sP1_prd
<=> ( ( ( ( e2 != unit
& op(e4,e2) = e4 )
| op(e4,e4) != e2 )
& ( ( e2 != unit
& op(e4,e2) = e3 )
| op(e4,e3) != e2 )
& ( ( e2 != unit
& op(e4,e2) = e2 )
| op(e4,e2) != e2 )
& ( ( e2 != unit
& op(e4,e2) = e1 )
| op(e4,e1) != e2 )
& ( ( e2 != unit
& op(e4,e2) = e0 )
| op(e4,e0) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e4 )
| op(e3,e4) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e3 )
| op(e3,e3) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e2 )
| op(e3,e2) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e1 )
| op(e3,e1) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e0 )
| op(e3,e0) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e4 )
| op(e2,e4) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e3 )
| op(e2,e3) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e2 )
| op(e2,e2) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e1 )
| op(e2,e1) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e0 )
| op(e2,e0) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e4 )
| op(e1,e4) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e3 )
| op(e1,e3) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e2 )
| op(e1,e2) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e1 )
| op(e1,e1) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e0 )
| op(e1,e0) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e4 )
| op(e0,e4) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e3 )
| op(e0,e3) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e2 )
| op(e0,e2) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e1 )
| op(e0,e1) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e0 )
| op(e0,e0) != e2 ) )
| sP3_prd ) ),
inference(formula_renaming,[status(thm)],[f615,f626]) ).
fof(f628,definition,
( sP4_prd
<=> ( ( ( e2 != unit
& op(e4,e2) = e3 )
| op(e4,e3) != e2 )
& ( ( e2 != unit
& op(e4,e2) = e2 )
| op(e4,e2) != e2 )
& ( ( e2 != unit
& op(e4,e2) = e1 )
| op(e4,e1) != e2 )
& ( ( e2 != unit
& op(e4,e2) = e0 )
| op(e4,e0) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e4 )
| op(e3,e4) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e3 )
| op(e3,e3) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e2 )
| op(e3,e2) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e1 )
| op(e3,e1) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e0 )
| op(e3,e0) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e4 )
| op(e2,e4) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e3 )
| op(e2,e3) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e2 )
| op(e2,e2) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e1 )
| op(e2,e1) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e0 )
| op(e2,e0) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e4 )
| op(e1,e4) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e3 )
| op(e1,e3) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e2 )
| op(e1,e2) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e1 )
| op(e1,e1) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e0 )
| op(e1,e0) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e4 )
| op(e0,e4) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e3 )
| op(e0,e3) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e2 )
| op(e0,e2) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e1 )
| op(e0,e1) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e0 )
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f629,plain,
( sP1_prd
<=> ( ( ( ( e2 != unit
& op(e4,e2) = e4 )
| op(e4,e4) != e2 )
& sP4_prd )
| sP3_prd ) ),
inference(formula_renaming,[status(thm)],[f627,f628]) ).
fof(f630,plain,
( ( ( ( ( ( e2 = unit
| op(e4,e2) != e4 )
& op(e4,e4) = e2 )
| ~ sP4_prd )
& ~ sP3_prd )
| sP1_prd )
& ( ( ( ( e2 != unit
& op(e4,e2) = e4 )
| op(e4,e4) != e2 )
& sP4_prd )
| sP3_prd
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f629]) ).
fof(f631,plain,
( sP4_prd
| sP3_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f630]) ).
fof(f632,plain,
( op(e4,e2) = e4
| op(e4,e4) != e2
| sP3_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f630]) ).
fof(f633,plain,
( e2 != unit
| op(e4,e4) != e2
| sP3_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f630]) ).
fof(f634,plain,
( ~ sP3_prd
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f630]) ).
fof(f635,plain,
( op(e4,e4) = e2
| ~ sP4_prd
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f630]) ).
fof(f637,definition,
( sP5_prd
<=> ( ( ( e3 != unit
& op(e4,e3) = e2 )
| op(e4,e2) != e3 )
& ( ( e3 != unit
& op(e4,e3) = e1 )
| op(e4,e1) != e3 )
& ( ( e3 != unit
& op(e4,e3) = e0 )
| op(e4,e0) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e4 )
| op(e3,e4) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e3 )
| op(e3,e3) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e2 )
| op(e3,e2) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e1 )
| op(e3,e1) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e0 )
| op(e3,e0) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e4 )
| op(e2,e4) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e3 )
| op(e2,e3) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e2 )
| op(e2,e2) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e1 )
| op(e2,e1) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e0 )
| op(e2,e0) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e4 )
| op(e1,e4) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e3 )
| op(e1,e3) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e2 )
| op(e1,e2) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e1 )
| op(e1,e1) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e0 )
| op(e1,e0) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e4 )
| op(e0,e4) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e3 )
| op(e0,e3) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e2 )
| op(e0,e2) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e1 )
| op(e0,e1) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e0 )
| op(e0,e0) != e3 ) ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f638,plain,
( sP2_prd
<=> ( ( ( e3 != unit
& op(e4,e3) = e3 )
| op(e4,e3) != e3 )
& sP5_prd ) ),
inference(formula_renaming,[status(thm)],[f617,f637]) ).
fof(f639,plain,
( ( ( ( e3 = unit
| op(e4,e3) != e3 )
& op(e4,e3) = e3 )
| ~ sP5_prd
| sP2_prd )
& ( ( ( ( e3 != unit
& op(e4,e3) = e3 )
| op(e4,e3) != e3 )
& sP5_prd )
| ~ sP2_prd ) ),
inference(NNF_transformation,[status(thm)],[f638]) ).
fof(f640,plain,
( sP5_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f639]) ).
fof(f645,definition,
( sP6_prd
<=> ( ( ( e0 != unit
& op(e4,e0) = e4 )
| op(e4,e4) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e3 )
| op(e4,e3) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e2 )
| op(e4,e2) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e1 )
| op(e4,e1) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e0 )
| op(e4,e0) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e4 )
| op(e3,e4) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e3 )
| op(e3,e3) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e2 )
| op(e3,e2) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e1 )
| op(e3,e1) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e0 )
| op(e3,e0) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e4 )
| op(e2,e4) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e3 )
| op(e2,e3) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e2 )
| op(e2,e2) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e1 )
| op(e2,e1) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e0 )
| op(e2,e0) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e4 )
| op(e1,e4) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e3 )
| op(e1,e3) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e2 )
| op(e1,e2) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e1 )
| op(e1,e1) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e0 )
| op(e1,e0) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| op(e0,e4) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e3 )
| op(e0,e3) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| op(e0,e2) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| op(e0,e1) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f646,plain,
( sP3_prd
<=> ( ( ( ( e1 != unit
& op(e4,e1) = e4 )
| op(e4,e4) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e3 )
| op(e4,e3) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e2 )
| op(e4,e2) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e1 )
| op(e4,e1) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e0 )
| op(e4,e0) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e4 )
| op(e3,e4) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e3 )
| op(e3,e3) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e2 )
| op(e3,e2) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e1 )
| op(e3,e1) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e0 )
| op(e3,e0) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e4 )
| op(e2,e4) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e3 )
| op(e2,e3) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e2 )
| op(e2,e2) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e1 )
| op(e2,e1) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e0 )
| op(e2,e0) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e4 )
| op(e1,e4) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e3 )
| op(e1,e3) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e2 )
| op(e1,e2) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e1 )
| op(e1,e1) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e0 )
| op(e1,e0) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e4 )
| op(e0,e4) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e3 )
| op(e0,e3) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e2 )
| op(e0,e2) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e1 )
| op(e0,e1) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ) )
| sP6_prd ) ),
inference(formula_renaming,[status(thm)],[f626,f645]) ).
fof(f647,definition,
( sP7_prd
<=> ( ( ( e1 != unit
& op(e4,e1) = e3 )
| op(e4,e3) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e2 )
| op(e4,e2) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e1 )
| op(e4,e1) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e0 )
| op(e4,e0) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e4 )
| op(e3,e4) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e3 )
| op(e3,e3) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e2 )
| op(e3,e2) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e1 )
| op(e3,e1) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e0 )
| op(e3,e0) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e4 )
| op(e2,e4) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e3 )
| op(e2,e3) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e2 )
| op(e2,e2) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e1 )
| op(e2,e1) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e0 )
| op(e2,e0) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e4 )
| op(e1,e4) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e3 )
| op(e1,e3) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e2 )
| op(e1,e2) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e1 )
| op(e1,e1) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e0 )
| op(e1,e0) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e4 )
| op(e0,e4) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e3 )
| op(e0,e3) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e2 )
| op(e0,e2) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e1 )
| op(e0,e1) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).
fof(f648,plain,
( sP3_prd
<=> ( ( ( ( e1 != unit
& op(e4,e1) = e4 )
| op(e4,e4) != e1 )
& sP7_prd )
| sP6_prd ) ),
inference(formula_renaming,[status(thm)],[f646,f647]) ).
fof(f649,plain,
( ( ( ( ( ( e1 = unit
| op(e4,e1) != e4 )
& op(e4,e4) = e1 )
| ~ sP7_prd )
& ~ sP6_prd )
| sP3_prd )
& ( ( ( ( e1 != unit
& op(e4,e1) = e4 )
| op(e4,e4) != e1 )
& sP7_prd )
| sP6_prd
| ~ sP3_prd ) ),
inference(NNF_transformation,[status(thm)],[f648]) ).
fof(f650,plain,
( sP7_prd
| sP6_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f649]) ).
fof(f651,plain,
( op(e4,e1) = e4
| op(e4,e4) != e1
| sP6_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f649]) ).
fof(f652,plain,
( e1 != unit
| op(e4,e4) != e1
| sP6_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f649]) ).
fof(f653,plain,
( ~ sP6_prd
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f649]) ).
fof(f654,plain,
( op(e4,e4) = e1
| ~ sP7_prd
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f649]) ).
fof(f656,definition,
( sP8_prd
<=> ( ( ( e2 != unit
& op(e4,e2) = e2 )
| op(e4,e2) != e2 )
& ( ( e2 != unit
& op(e4,e2) = e1 )
| op(e4,e1) != e2 )
& ( ( e2 != unit
& op(e4,e2) = e0 )
| op(e4,e0) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e4 )
| op(e3,e4) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e3 )
| op(e3,e3) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e2 )
| op(e3,e2) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e1 )
| op(e3,e1) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e0 )
| op(e3,e0) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e4 )
| op(e2,e4) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e3 )
| op(e2,e3) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e2 )
| op(e2,e2) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e1 )
| op(e2,e1) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e0 )
| op(e2,e0) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e4 )
| op(e1,e4) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e3 )
| op(e1,e3) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e2 )
| op(e1,e2) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e1 )
| op(e1,e1) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e0 )
| op(e1,e0) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e4 )
| op(e0,e4) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e3 )
| op(e0,e3) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e2 )
| op(e0,e2) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e1 )
| op(e0,e1) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e0 )
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP8_prd])],[]) ).
fof(f657,plain,
( sP4_prd
<=> ( ( ( e2 != unit
& op(e4,e2) = e3 )
| op(e4,e3) != e2 )
& sP8_prd ) ),
inference(formula_renaming,[status(thm)],[f628,f656]) ).
fof(f658,plain,
( ( ( ( e2 = unit
| op(e4,e2) != e3 )
& op(e4,e3) = e2 )
| ~ sP8_prd
| sP4_prd )
& ( ( ( ( e2 != unit
& op(e4,e2) = e3 )
| op(e4,e3) != e2 )
& sP8_prd )
| ~ sP4_prd ) ),
inference(NNF_transformation,[status(thm)],[f657]) ).
fof(f659,plain,
( sP8_prd
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f658]) ).
fof(f660,plain,
( op(e4,e2) = e3
| op(e4,e3) != e2
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f658]) ).
fof(f661,plain,
( e2 != unit
| op(e4,e3) != e2
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f658]) ).
fof(f662,plain,
( op(e4,e3) = e2
| ~ sP8_prd
| sP4_prd ),
inference(cnf_transformation,[status(thm)],[f658]) ).
fof(f663,plain,
( e2 = unit
| op(e4,e2) != e3
| ~ sP8_prd
| sP4_prd ),
inference(cnf_transformation,[status(thm)],[f658]) ).
fof(f664,definition,
( sP9_prd
<=> ( ( ( e3 != unit
& op(e4,e3) = e1 )
| op(e4,e1) != e3 )
& ( ( e3 != unit
& op(e4,e3) = e0 )
| op(e4,e0) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e4 )
| op(e3,e4) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e3 )
| op(e3,e3) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e2 )
| op(e3,e2) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e1 )
| op(e3,e1) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e0 )
| op(e3,e0) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e4 )
| op(e2,e4) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e3 )
| op(e2,e3) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e2 )
| op(e2,e2) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e1 )
| op(e2,e1) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e0 )
| op(e2,e0) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e4 )
| op(e1,e4) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e3 )
| op(e1,e3) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e2 )
| op(e1,e2) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e1 )
| op(e1,e1) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e0 )
| op(e1,e0) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e4 )
| op(e0,e4) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e3 )
| op(e0,e3) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e2 )
| op(e0,e2) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e1 )
| op(e0,e1) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e0 )
| op(e0,e0) != e3 ) ) ),
introduced(definition,[new_symbols(definition,[sP9_prd])],[]) ).
fof(f665,plain,
( sP5_prd
<=> ( ( ( e3 != unit
& op(e4,e3) = e2 )
| op(e4,e2) != e3 )
& sP9_prd ) ),
inference(formula_renaming,[status(thm)],[f637,f664]) ).
fof(f666,plain,
( ( ( ( e3 = unit
| op(e4,e3) != e2 )
& op(e4,e2) = e3 )
| ~ sP9_prd
| sP5_prd )
& ( ( ( ( e3 != unit
& op(e4,e3) = e2 )
| op(e4,e2) != e3 )
& sP9_prd )
| ~ sP5_prd ) ),
inference(NNF_transformation,[status(thm)],[f665]) ).
fof(f667,plain,
( sP9_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f666]) ).
fof(f668,plain,
( op(e4,e3) = e2
| op(e4,e2) != e3
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f666]) ).
fof(f669,plain,
( e3 != unit
| op(e4,e2) != e3
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f666]) ).
fof(f672,definition,
( sP10_prd
<=> ( ( ( e0 != unit
& op(e4,e0) = e3 )
| op(e4,e3) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e2 )
| op(e4,e2) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e1 )
| op(e4,e1) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e0 )
| op(e4,e0) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e4 )
| op(e3,e4) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e3 )
| op(e3,e3) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e2 )
| op(e3,e2) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e1 )
| op(e3,e1) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e0 )
| op(e3,e0) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e4 )
| op(e2,e4) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e3 )
| op(e2,e3) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e2 )
| op(e2,e2) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e1 )
| op(e2,e1) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e0 )
| op(e2,e0) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e4 )
| op(e1,e4) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e3 )
| op(e1,e3) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e2 )
| op(e1,e2) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e1 )
| op(e1,e1) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e0 )
| op(e1,e0) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| op(e0,e4) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e3 )
| op(e0,e3) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| op(e0,e2) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| op(e0,e1) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP10_prd])],[]) ).
fof(f673,plain,
( sP6_prd
<=> ( ( ( e0 != unit
& op(e4,e0) = e4 )
| op(e4,e4) != e0 )
& sP10_prd ) ),
inference(formula_renaming,[status(thm)],[f645,f672]) ).
fof(f674,plain,
( ( ( ( e0 = unit
| op(e4,e0) != e4 )
& op(e4,e4) = e0 )
| ~ sP10_prd
| sP6_prd )
& ( ( ( ( e0 != unit
& op(e4,e0) = e4 )
| op(e4,e4) != e0 )
& sP10_prd )
| ~ sP6_prd ) ),
inference(NNF_transformation,[status(thm)],[f673]) ).
fof(f675,plain,
( sP10_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f674]) ).
fof(f676,plain,
( op(e4,e0) = e4
| op(e4,e4) != e0
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f674]) ).
fof(f677,plain,
( e0 != unit
| op(e4,e4) != e0
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f674]) ).
fof(f678,plain,
( op(e4,e4) = e0
| ~ sP10_prd
| sP6_prd ),
inference(cnf_transformation,[status(thm)],[f674]) ).
fof(f679,plain,
( e0 = unit
| op(e4,e0) != e4
| ~ sP10_prd
| sP6_prd ),
inference(cnf_transformation,[status(thm)],[f674]) ).
fof(f680,definition,
( sP11_prd
<=> ( ( ( e1 != unit
& op(e4,e1) = e2 )
| op(e4,e2) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e1 )
| op(e4,e1) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e0 )
| op(e4,e0) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e4 )
| op(e3,e4) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e3 )
| op(e3,e3) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e2 )
| op(e3,e2) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e1 )
| op(e3,e1) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e0 )
| op(e3,e0) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e4 )
| op(e2,e4) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e3 )
| op(e2,e3) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e2 )
| op(e2,e2) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e1 )
| op(e2,e1) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e0 )
| op(e2,e0) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e4 )
| op(e1,e4) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e3 )
| op(e1,e3) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e2 )
| op(e1,e2) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e1 )
| op(e1,e1) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e0 )
| op(e1,e0) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e4 )
| op(e0,e4) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e3 )
| op(e0,e3) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e2 )
| op(e0,e2) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e1 )
| op(e0,e1) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP11_prd])],[]) ).
fof(f681,plain,
( sP7_prd
<=> ( ( ( e1 != unit
& op(e4,e1) = e3 )
| op(e4,e3) != e1 )
& sP11_prd ) ),
inference(formula_renaming,[status(thm)],[f647,f680]) ).
fof(f682,plain,
( ( ( ( e1 = unit
| op(e4,e1) != e3 )
& op(e4,e3) = e1 )
| ~ sP11_prd
| sP7_prd )
& ( ( ( ( e1 != unit
& op(e4,e1) = e3 )
| op(e4,e3) != e1 )
& sP11_prd )
| ~ sP7_prd ) ),
inference(NNF_transformation,[status(thm)],[f681]) ).
fof(f683,plain,
( sP11_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f682]) ).
fof(f684,plain,
( op(e4,e1) = e3
| op(e4,e3) != e1
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f682]) ).
fof(f685,plain,
( e1 != unit
| op(e4,e3) != e1
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f682]) ).
fof(f686,plain,
( op(e4,e3) = e1
| ~ sP11_prd
| sP7_prd ),
inference(cnf_transformation,[status(thm)],[f682]) ).
fof(f687,plain,
( e1 = unit
| op(e4,e1) != e3
| ~ sP11_prd
| sP7_prd ),
inference(cnf_transformation,[status(thm)],[f682]) ).
fof(f688,definition,
( sP12_prd
<=> ( ( ( e2 != unit
& op(e4,e2) = e1 )
| op(e4,e1) != e2 )
& ( ( e2 != unit
& op(e4,e2) = e0 )
| op(e4,e0) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e4 )
| op(e3,e4) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e3 )
| op(e3,e3) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e2 )
| op(e3,e2) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e1 )
| op(e3,e1) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e0 )
| op(e3,e0) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e4 )
| op(e2,e4) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e3 )
| op(e2,e3) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e2 )
| op(e2,e2) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e1 )
| op(e2,e1) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e0 )
| op(e2,e0) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e4 )
| op(e1,e4) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e3 )
| op(e1,e3) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e2 )
| op(e1,e2) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e1 )
| op(e1,e1) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e0 )
| op(e1,e0) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e4 )
| op(e0,e4) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e3 )
| op(e0,e3) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e2 )
| op(e0,e2) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e1 )
| op(e0,e1) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e0 )
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP12_prd])],[]) ).
fof(f689,plain,
( sP8_prd
<=> ( ( ( e2 != unit
& op(e4,e2) = e2 )
| op(e4,e2) != e2 )
& sP12_prd ) ),
inference(formula_renaming,[status(thm)],[f656,f688]) ).
fof(f690,plain,
( ( ( ( e2 = unit
| op(e4,e2) != e2 )
& op(e4,e2) = e2 )
| ~ sP12_prd
| sP8_prd )
& ( ( ( ( e2 != unit
& op(e4,e2) = e2 )
| op(e4,e2) != e2 )
& sP12_prd )
| ~ sP8_prd ) ),
inference(NNF_transformation,[status(thm)],[f689]) ).
fof(f691,plain,
( sP12_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f690]) ).
fof(f693,plain,
( e2 != unit
| op(e4,e2) != e2
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f690]) ).
fof(f694,plain,
( op(e4,e2) = e2
| ~ sP12_prd
| sP8_prd ),
inference(cnf_transformation,[status(thm)],[f690]) ).
fof(f695,plain,
( e2 = unit
| op(e4,e2) != e2
| ~ sP12_prd
| sP8_prd ),
inference(cnf_transformation,[status(thm)],[f690]) ).
fof(f696,definition,
( sP13_prd
<=> ( ( ( e3 != unit
& op(e4,e3) = e0 )
| op(e4,e0) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e4 )
| op(e3,e4) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e3 )
| op(e3,e3) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e2 )
| op(e3,e2) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e1 )
| op(e3,e1) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e0 )
| op(e3,e0) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e4 )
| op(e2,e4) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e3 )
| op(e2,e3) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e2 )
| op(e2,e2) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e1 )
| op(e2,e1) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e0 )
| op(e2,e0) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e4 )
| op(e1,e4) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e3 )
| op(e1,e3) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e2 )
| op(e1,e2) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e1 )
| op(e1,e1) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e0 )
| op(e1,e0) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e4 )
| op(e0,e4) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e3 )
| op(e0,e3) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e2 )
| op(e0,e2) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e1 )
| op(e0,e1) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e0 )
| op(e0,e0) != e3 ) ) ),
introduced(definition,[new_symbols(definition,[sP13_prd])],[]) ).
fof(f697,plain,
( sP9_prd
<=> ( ( ( e3 != unit
& op(e4,e3) = e1 )
| op(e4,e1) != e3 )
& sP13_prd ) ),
inference(formula_renaming,[status(thm)],[f664,f696]) ).
fof(f698,plain,
( ( ( ( e3 = unit
| op(e4,e3) != e1 )
& op(e4,e1) = e3 )
| ~ sP13_prd
| sP9_prd )
& ( ( ( ( e3 != unit
& op(e4,e3) = e1 )
| op(e4,e1) != e3 )
& sP13_prd )
| ~ sP9_prd ) ),
inference(NNF_transformation,[status(thm)],[f697]) ).
fof(f699,plain,
( sP13_prd
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f698]) ).
fof(f700,plain,
( op(e4,e3) = e1
| op(e4,e1) != e3
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f698]) ).
fof(f701,plain,
( e3 != unit
| op(e4,e1) != e3
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f698]) ).
fof(f702,plain,
( op(e4,e1) = e3
| ~ sP13_prd
| sP9_prd ),
inference(cnf_transformation,[status(thm)],[f698]) ).
fof(f704,definition,
( sP14_prd
<=> ( ( ( e0 != unit
& op(e4,e0) = e2 )
| op(e4,e2) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e1 )
| op(e4,e1) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e0 )
| op(e4,e0) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e4 )
| op(e3,e4) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e3 )
| op(e3,e3) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e2 )
| op(e3,e2) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e1 )
| op(e3,e1) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e0 )
| op(e3,e0) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e4 )
| op(e2,e4) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e3 )
| op(e2,e3) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e2 )
| op(e2,e2) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e1 )
| op(e2,e1) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e0 )
| op(e2,e0) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e4 )
| op(e1,e4) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e3 )
| op(e1,e3) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e2 )
| op(e1,e2) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e1 )
| op(e1,e1) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e0 )
| op(e1,e0) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| op(e0,e4) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e3 )
| op(e0,e3) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| op(e0,e2) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| op(e0,e1) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP14_prd])],[]) ).
fof(f705,plain,
( sP10_prd
<=> ( ( ( e0 != unit
& op(e4,e0) = e3 )
| op(e4,e3) != e0 )
& sP14_prd ) ),
inference(formula_renaming,[status(thm)],[f672,f704]) ).
fof(f706,plain,
( ( ( ( e0 = unit
| op(e4,e0) != e3 )
& op(e4,e3) = e0 )
| ~ sP14_prd
| sP10_prd )
& ( ( ( ( e0 != unit
& op(e4,e0) = e3 )
| op(e4,e3) != e0 )
& sP14_prd )
| ~ sP10_prd ) ),
inference(NNF_transformation,[status(thm)],[f705]) ).
fof(f707,plain,
( sP14_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f706]) ).
fof(f708,plain,
( op(e4,e0) = e3
| op(e4,e3) != e0
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f706]) ).
fof(f709,plain,
( e0 != unit
| op(e4,e3) != e0
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f706]) ).
fof(f710,plain,
( op(e4,e3) = e0
| ~ sP14_prd
| sP10_prd ),
inference(cnf_transformation,[status(thm)],[f706]) ).
fof(f711,plain,
( e0 = unit
| op(e4,e0) != e3
| ~ sP14_prd
| sP10_prd ),
inference(cnf_transformation,[status(thm)],[f706]) ).
fof(f712,definition,
( sP15_prd
<=> ( ( ( e1 != unit
& op(e4,e1) = e1 )
| op(e4,e1) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e0 )
| op(e4,e0) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e4 )
| op(e3,e4) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e3 )
| op(e3,e3) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e2 )
| op(e3,e2) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e1 )
| op(e3,e1) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e0 )
| op(e3,e0) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e4 )
| op(e2,e4) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e3 )
| op(e2,e3) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e2 )
| op(e2,e2) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e1 )
| op(e2,e1) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e0 )
| op(e2,e0) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e4 )
| op(e1,e4) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e3 )
| op(e1,e3) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e2 )
| op(e1,e2) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e1 )
| op(e1,e1) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e0 )
| op(e1,e0) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e4 )
| op(e0,e4) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e3 )
| op(e0,e3) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e2 )
| op(e0,e2) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e1 )
| op(e0,e1) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP15_prd])],[]) ).
fof(f713,plain,
( sP11_prd
<=> ( ( ( e1 != unit
& op(e4,e1) = e2 )
| op(e4,e2) != e1 )
& sP15_prd ) ),
inference(formula_renaming,[status(thm)],[f680,f712]) ).
fof(f714,plain,
( ( ( ( e1 = unit
| op(e4,e1) != e2 )
& op(e4,e2) = e1 )
| ~ sP15_prd
| sP11_prd )
& ( ( ( ( e1 != unit
& op(e4,e1) = e2 )
| op(e4,e2) != e1 )
& sP15_prd )
| ~ sP11_prd ) ),
inference(NNF_transformation,[status(thm)],[f713]) ).
fof(f715,plain,
( sP15_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f714]) ).
fof(f716,plain,
( op(e4,e1) = e2
| op(e4,e2) != e1
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f714]) ).
fof(f717,plain,
( e1 != unit
| op(e4,e2) != e1
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f714]) ).
fof(f718,plain,
( op(e4,e2) = e1
| ~ sP15_prd
| sP11_prd ),
inference(cnf_transformation,[status(thm)],[f714]) ).
fof(f720,definition,
( sP16_prd
<=> ( ( ( e2 != unit
& op(e4,e2) = e0 )
| op(e4,e0) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e4 )
| op(e3,e4) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e3 )
| op(e3,e3) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e2 )
| op(e3,e2) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e1 )
| op(e3,e1) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e0 )
| op(e3,e0) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e4 )
| op(e2,e4) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e3 )
| op(e2,e3) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e2 )
| op(e2,e2) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e1 )
| op(e2,e1) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e0 )
| op(e2,e0) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e4 )
| op(e1,e4) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e3 )
| op(e1,e3) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e2 )
| op(e1,e2) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e1 )
| op(e1,e1) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e0 )
| op(e1,e0) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e4 )
| op(e0,e4) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e3 )
| op(e0,e3) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e2 )
| op(e0,e2) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e1 )
| op(e0,e1) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e0 )
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP16_prd])],[]) ).
fof(f721,plain,
( sP12_prd
<=> ( ( ( e2 != unit
& op(e4,e2) = e1 )
| op(e4,e1) != e2 )
& sP16_prd ) ),
inference(formula_renaming,[status(thm)],[f688,f720]) ).
fof(f722,plain,
( ( ( ( e2 = unit
| op(e4,e2) != e1 )
& op(e4,e1) = e2 )
| ~ sP16_prd
| sP12_prd )
& ( ( ( ( e2 != unit
& op(e4,e2) = e1 )
| op(e4,e1) != e2 )
& sP16_prd )
| ~ sP12_prd ) ),
inference(NNF_transformation,[status(thm)],[f721]) ).
fof(f723,plain,
( sP16_prd
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f722]) ).
fof(f724,plain,
( op(e4,e2) = e1
| op(e4,e1) != e2
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f722]) ).
fof(f725,plain,
( e2 != unit
| op(e4,e1) != e2
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f722]) ).
fof(f726,plain,
( op(e4,e1) = e2
| ~ sP16_prd
| sP12_prd ),
inference(cnf_transformation,[status(thm)],[f722]) ).
fof(f728,definition,
( sP17_prd
<=> ( ( ( e3 != unit
& op(e3,e3) = e4 )
| op(e3,e4) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e3 )
| op(e3,e3) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e2 )
| op(e3,e2) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e1 )
| op(e3,e1) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e0 )
| op(e3,e0) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e4 )
| op(e2,e4) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e3 )
| op(e2,e3) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e2 )
| op(e2,e2) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e1 )
| op(e2,e1) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e0 )
| op(e2,e0) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e4 )
| op(e1,e4) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e3 )
| op(e1,e3) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e2 )
| op(e1,e2) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e1 )
| op(e1,e1) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e0 )
| op(e1,e0) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e4 )
| op(e0,e4) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e3 )
| op(e0,e3) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e2 )
| op(e0,e2) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e1 )
| op(e0,e1) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e0 )
| op(e0,e0) != e3 ) ) ),
introduced(definition,[new_symbols(definition,[sP17_prd])],[]) ).
fof(f729,plain,
( sP13_prd
<=> ( ( ( e3 != unit
& op(e4,e3) = e0 )
| op(e4,e0) != e3 )
& sP17_prd ) ),
inference(formula_renaming,[status(thm)],[f696,f728]) ).
fof(f730,plain,
( ( ( ( e3 = unit
| op(e4,e3) != e0 )
& op(e4,e0) = e3 )
| ~ sP17_prd
| sP13_prd )
& ( ( ( ( e3 != unit
& op(e4,e3) = e0 )
| op(e4,e0) != e3 )
& sP17_prd )
| ~ sP13_prd ) ),
inference(NNF_transformation,[status(thm)],[f729]) ).
fof(f731,plain,
( sP17_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f730]) ).
fof(f732,plain,
( op(e4,e3) = e0
| op(e4,e0) != e3
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f730]) ).
fof(f733,plain,
( e3 != unit
| op(e4,e0) != e3
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f730]) ).
fof(f734,plain,
( op(e4,e0) = e3
| ~ sP17_prd
| sP13_prd ),
inference(cnf_transformation,[status(thm)],[f730]) ).
fof(f736,definition,
( sP18_prd
<=> ( ( ( e0 != unit
& op(e4,e0) = e1 )
| op(e4,e1) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e0 )
| op(e4,e0) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e4 )
| op(e3,e4) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e3 )
| op(e3,e3) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e2 )
| op(e3,e2) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e1 )
| op(e3,e1) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e0 )
| op(e3,e0) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e4 )
| op(e2,e4) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e3 )
| op(e2,e3) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e2 )
| op(e2,e2) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e1 )
| op(e2,e1) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e0 )
| op(e2,e0) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e4 )
| op(e1,e4) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e3 )
| op(e1,e3) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e2 )
| op(e1,e2) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e1 )
| op(e1,e1) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e0 )
| op(e1,e0) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| op(e0,e4) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e3 )
| op(e0,e3) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| op(e0,e2) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| op(e0,e1) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP18_prd])],[]) ).
fof(f737,plain,
( sP14_prd
<=> ( ( ( e0 != unit
& op(e4,e0) = e2 )
| op(e4,e2) != e0 )
& sP18_prd ) ),
inference(formula_renaming,[status(thm)],[f704,f736]) ).
fof(f738,plain,
( ( ( ( e0 = unit
| op(e4,e0) != e2 )
& op(e4,e2) = e0 )
| ~ sP18_prd
| sP14_prd )
& ( ( ( ( e0 != unit
& op(e4,e0) = e2 )
| op(e4,e2) != e0 )
& sP18_prd )
| ~ sP14_prd ) ),
inference(NNF_transformation,[status(thm)],[f737]) ).
fof(f739,plain,
( sP18_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f738]) ).
fof(f740,plain,
( op(e4,e0) = e2
| op(e4,e2) != e0
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f738]) ).
fof(f741,plain,
( e0 != unit
| op(e4,e2) != e0
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f738]) ).
fof(f742,plain,
( op(e4,e2) = e0
| ~ sP18_prd
| sP14_prd ),
inference(cnf_transformation,[status(thm)],[f738]) ).
fof(f743,plain,
( e0 = unit
| op(e4,e0) != e2
| ~ sP18_prd
| sP14_prd ),
inference(cnf_transformation,[status(thm)],[f738]) ).
fof(f744,definition,
( sP19_prd
<=> ( ( ( e1 != unit
& op(e4,e1) = e0 )
| op(e4,e0) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e4 )
| op(e3,e4) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e3 )
| op(e3,e3) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e2 )
| op(e3,e2) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e1 )
| op(e3,e1) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e0 )
| op(e3,e0) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e4 )
| op(e2,e4) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e3 )
| op(e2,e3) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e2 )
| op(e2,e2) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e1 )
| op(e2,e1) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e0 )
| op(e2,e0) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e4 )
| op(e1,e4) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e3 )
| op(e1,e3) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e2 )
| op(e1,e2) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e1 )
| op(e1,e1) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e0 )
| op(e1,e0) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e4 )
| op(e0,e4) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e3 )
| op(e0,e3) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e2 )
| op(e0,e2) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e1 )
| op(e0,e1) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP19_prd])],[]) ).
fof(f745,plain,
( sP15_prd
<=> ( ( ( e1 != unit
& op(e4,e1) = e1 )
| op(e4,e1) != e1 )
& sP19_prd ) ),
inference(formula_renaming,[status(thm)],[f712,f744]) ).
fof(f746,plain,
( ( ( ( e1 = unit
| op(e4,e1) != e1 )
& op(e4,e1) = e1 )
| ~ sP19_prd
| sP15_prd )
& ( ( ( ( e1 != unit
& op(e4,e1) = e1 )
| op(e4,e1) != e1 )
& sP19_prd )
| ~ sP15_prd ) ),
inference(NNF_transformation,[status(thm)],[f745]) ).
fof(f747,plain,
( sP19_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f746]) ).
fof(f749,plain,
( e1 != unit
| op(e4,e1) != e1
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f746]) ).
fof(f750,plain,
( op(e4,e1) = e1
| ~ sP19_prd
| sP15_prd ),
inference(cnf_transformation,[status(thm)],[f746]) ).
fof(f751,plain,
( e1 = unit
| op(e4,e1) != e1
| ~ sP19_prd
| sP15_prd ),
inference(cnf_transformation,[status(thm)],[f746]) ).
fof(f752,definition,
( sP20_prd
<=> ( ( ( e2 != unit
& op(e3,e2) = e4 )
| op(e3,e4) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e3 )
| op(e3,e3) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e2 )
| op(e3,e2) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e1 )
| op(e3,e1) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e0 )
| op(e3,e0) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e4 )
| op(e2,e4) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e3 )
| op(e2,e3) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e2 )
| op(e2,e2) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e1 )
| op(e2,e1) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e0 )
| op(e2,e0) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e4 )
| op(e1,e4) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e3 )
| op(e1,e3) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e2 )
| op(e1,e2) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e1 )
| op(e1,e1) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e0 )
| op(e1,e0) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e4 )
| op(e0,e4) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e3 )
| op(e0,e3) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e2 )
| op(e0,e2) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e1 )
| op(e0,e1) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e0 )
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP20_prd])],[]) ).
fof(f753,plain,
( sP16_prd
<=> ( ( ( e2 != unit
& op(e4,e2) = e0 )
| op(e4,e0) != e2 )
& sP20_prd ) ),
inference(formula_renaming,[status(thm)],[f720,f752]) ).
fof(f754,plain,
( ( ( ( e2 = unit
| op(e4,e2) != e0 )
& op(e4,e0) = e2 )
| ~ sP20_prd
| sP16_prd )
& ( ( ( ( e2 != unit
& op(e4,e2) = e0 )
| op(e4,e0) != e2 )
& sP20_prd )
| ~ sP16_prd ) ),
inference(NNF_transformation,[status(thm)],[f753]) ).
fof(f755,plain,
( sP20_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f754]) ).
fof(f756,plain,
( op(e4,e2) = e0
| op(e4,e0) != e2
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f754]) ).
fof(f757,plain,
( e2 != unit
| op(e4,e0) != e2
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f754]) ).
fof(f758,plain,
( op(e4,e0) = e2
| ~ sP20_prd
| sP16_prd ),
inference(cnf_transformation,[status(thm)],[f754]) ).
fof(f759,plain,
( e2 = unit
| op(e4,e2) != e0
| ~ sP20_prd
| sP16_prd ),
inference(cnf_transformation,[status(thm)],[f754]) ).
fof(f760,definition,
( sP21_prd
<=> ( ( ( e3 != unit
& op(e3,e3) = e3 )
| op(e3,e3) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e2 )
| op(e3,e2) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e1 )
| op(e3,e1) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e0 )
| op(e3,e0) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e4 )
| op(e2,e4) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e3 )
| op(e2,e3) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e2 )
| op(e2,e2) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e1 )
| op(e2,e1) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e0 )
| op(e2,e0) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e4 )
| op(e1,e4) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e3 )
| op(e1,e3) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e2 )
| op(e1,e2) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e1 )
| op(e1,e1) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e0 )
| op(e1,e0) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e4 )
| op(e0,e4) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e3 )
| op(e0,e3) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e2 )
| op(e0,e2) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e1 )
| op(e0,e1) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e0 )
| op(e0,e0) != e3 ) ) ),
introduced(definition,[new_symbols(definition,[sP21_prd])],[]) ).
fof(f761,plain,
( sP17_prd
<=> ( ( ( e3 != unit
& op(e3,e3) = e4 )
| op(e3,e4) != e3 )
& sP21_prd ) ),
inference(formula_renaming,[status(thm)],[f728,f760]) ).
fof(f762,plain,
( ( ( ( e3 = unit
| op(e3,e3) != e4 )
& op(e3,e4) = e3 )
| ~ sP21_prd
| sP17_prd )
& ( ( ( ( e3 != unit
& op(e3,e3) = e4 )
| op(e3,e4) != e3 )
& sP21_prd )
| ~ sP17_prd ) ),
inference(NNF_transformation,[status(thm)],[f761]) ).
fof(f763,plain,
( sP21_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f762]) ).
fof(f764,plain,
( op(e3,e3) = e4
| op(e3,e4) != e3
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f762]) ).
fof(f766,plain,
( op(e3,e4) = e3
| ~ sP21_prd
| sP17_prd ),
inference(cnf_transformation,[status(thm)],[f762]) ).
fof(f768,definition,
( sP22_prd
<=> ( ( ( e0 != unit
& op(e4,e0) = e0 )
| op(e4,e0) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e4 )
| op(e3,e4) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e3 )
| op(e3,e3) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e2 )
| op(e3,e2) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e1 )
| op(e3,e1) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e0 )
| op(e3,e0) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e4 )
| op(e2,e4) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e3 )
| op(e2,e3) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e2 )
| op(e2,e2) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e1 )
| op(e2,e1) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e0 )
| op(e2,e0) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e4 )
| op(e1,e4) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e3 )
| op(e1,e3) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e2 )
| op(e1,e2) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e1 )
| op(e1,e1) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e0 )
| op(e1,e0) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| op(e0,e4) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e3 )
| op(e0,e3) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| op(e0,e2) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| op(e0,e1) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP22_prd])],[]) ).
fof(f769,plain,
( sP18_prd
<=> ( ( ( e0 != unit
& op(e4,e0) = e1 )
| op(e4,e1) != e0 )
& sP22_prd ) ),
inference(formula_renaming,[status(thm)],[f736,f768]) ).
fof(f770,plain,
( ( ( ( e0 = unit
| op(e4,e0) != e1 )
& op(e4,e1) = e0 )
| ~ sP22_prd
| sP18_prd )
& ( ( ( ( e0 != unit
& op(e4,e0) = e1 )
| op(e4,e1) != e0 )
& sP22_prd )
| ~ sP18_prd ) ),
inference(NNF_transformation,[status(thm)],[f769]) ).
fof(f771,plain,
( sP22_prd
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f770]) ).
fof(f772,plain,
( op(e4,e0) = e1
| op(e4,e1) != e0
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f770]) ).
fof(f773,plain,
( e0 != unit
| op(e4,e1) != e0
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f770]) ).
fof(f774,plain,
( op(e4,e1) = e0
| ~ sP22_prd
| sP18_prd ),
inference(cnf_transformation,[status(thm)],[f770]) ).
fof(f775,plain,
( e0 = unit
| op(e4,e0) != e1
| ~ sP22_prd
| sP18_prd ),
inference(cnf_transformation,[status(thm)],[f770]) ).
fof(f776,definition,
( sP23_prd
<=> ( ( ( e1 != unit
& op(e3,e1) = e4 )
| op(e3,e4) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e3 )
| op(e3,e3) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e2 )
| op(e3,e2) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e1 )
| op(e3,e1) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e0 )
| op(e3,e0) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e4 )
| op(e2,e4) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e3 )
| op(e2,e3) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e2 )
| op(e2,e2) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e1 )
| op(e2,e1) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e0 )
| op(e2,e0) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e4 )
| op(e1,e4) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e3 )
| op(e1,e3) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e2 )
| op(e1,e2) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e1 )
| op(e1,e1) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e0 )
| op(e1,e0) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e4 )
| op(e0,e4) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e3 )
| op(e0,e3) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e2 )
| op(e0,e2) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e1 )
| op(e0,e1) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP23_prd])],[]) ).
fof(f777,plain,
( sP19_prd
<=> ( ( ( e1 != unit
& op(e4,e1) = e0 )
| op(e4,e0) != e1 )
& sP23_prd ) ),
inference(formula_renaming,[status(thm)],[f744,f776]) ).
fof(f778,plain,
( ( ( ( e1 = unit
| op(e4,e1) != e0 )
& op(e4,e0) = e1 )
| ~ sP23_prd
| sP19_prd )
& ( ( ( ( e1 != unit
& op(e4,e1) = e0 )
| op(e4,e0) != e1 )
& sP23_prd )
| ~ sP19_prd ) ),
inference(NNF_transformation,[status(thm)],[f777]) ).
fof(f779,plain,
( sP23_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f778]) ).
fof(f780,plain,
( op(e4,e1) = e0
| op(e4,e0) != e1
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f778]) ).
fof(f781,plain,
( e1 != unit
| op(e4,e0) != e1
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f778]) ).
fof(f782,plain,
( op(e4,e0) = e1
| ~ sP23_prd
| sP19_prd ),
inference(cnf_transformation,[status(thm)],[f778]) ).
fof(f783,plain,
( e1 = unit
| op(e4,e1) != e0
| ~ sP23_prd
| sP19_prd ),
inference(cnf_transformation,[status(thm)],[f778]) ).
fof(f784,definition,
( sP24_prd
<=> ( ( ( e2 != unit
& op(e3,e2) = e3 )
| op(e3,e3) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e2 )
| op(e3,e2) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e1 )
| op(e3,e1) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e0 )
| op(e3,e0) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e4 )
| op(e2,e4) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e3 )
| op(e2,e3) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e2 )
| op(e2,e2) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e1 )
| op(e2,e1) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e0 )
| op(e2,e0) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e4 )
| op(e1,e4) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e3 )
| op(e1,e3) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e2 )
| op(e1,e2) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e1 )
| op(e1,e1) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e0 )
| op(e1,e0) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e4 )
| op(e0,e4) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e3 )
| op(e0,e3) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e2 )
| op(e0,e2) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e1 )
| op(e0,e1) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e0 )
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP24_prd])],[]) ).
fof(f785,plain,
( sP20_prd
<=> ( ( ( e2 != unit
& op(e3,e2) = e4 )
| op(e3,e4) != e2 )
& sP24_prd ) ),
inference(formula_renaming,[status(thm)],[f752,f784]) ).
fof(f786,plain,
( ( ( ( e2 = unit
| op(e3,e2) != e4 )
& op(e3,e4) = e2 )
| ~ sP24_prd
| sP20_prd )
& ( ( ( ( e2 != unit
& op(e3,e2) = e4 )
| op(e3,e4) != e2 )
& sP24_prd )
| ~ sP20_prd ) ),
inference(NNF_transformation,[status(thm)],[f785]) ).
fof(f787,plain,
( sP24_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f786]) ).
fof(f788,plain,
( op(e3,e2) = e4
| op(e3,e4) != e2
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f786]) ).
fof(f790,plain,
( op(e3,e4) = e2
| ~ sP24_prd
| sP20_prd ),
inference(cnf_transformation,[status(thm)],[f786]) ).
fof(f792,definition,
( sP25_prd
<=> ( ( ( e3 != unit
& op(e3,e3) = e2 )
| op(e3,e2) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e1 )
| op(e3,e1) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e0 )
| op(e3,e0) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e4 )
| op(e2,e4) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e3 )
| op(e2,e3) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e2 )
| op(e2,e2) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e1 )
| op(e2,e1) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e0 )
| op(e2,e0) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e4 )
| op(e1,e4) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e3 )
| op(e1,e3) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e2 )
| op(e1,e2) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e1 )
| op(e1,e1) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e0 )
| op(e1,e0) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e4 )
| op(e0,e4) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e3 )
| op(e0,e3) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e2 )
| op(e0,e2) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e1 )
| op(e0,e1) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e0 )
| op(e0,e0) != e3 ) ) ),
introduced(definition,[new_symbols(definition,[sP25_prd])],[]) ).
fof(f793,plain,
( sP21_prd
<=> ( ( ( e3 != unit
& op(e3,e3) = e3 )
| op(e3,e3) != e3 )
& sP25_prd ) ),
inference(formula_renaming,[status(thm)],[f760,f792]) ).
fof(f794,plain,
( ( ( ( e3 = unit
| op(e3,e3) != e3 )
& op(e3,e3) = e3 )
| ~ sP25_prd
| sP21_prd )
& ( ( ( ( e3 != unit
& op(e3,e3) = e3 )
| op(e3,e3) != e3 )
& sP25_prd )
| ~ sP21_prd ) ),
inference(NNF_transformation,[status(thm)],[f793]) ).
fof(f795,plain,
( sP25_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f794]) ).
fof(f797,plain,
( e3 != unit
| op(e3,e3) != e3
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f794]) ).
fof(f798,plain,
( op(e3,e3) = e3
| ~ sP25_prd
| sP21_prd ),
inference(cnf_transformation,[status(thm)],[f794]) ).
fof(f800,definition,
( sP26_prd
<=> ( ( ( e0 != unit
& op(e3,e0) = e4 )
| op(e3,e4) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e3 )
| op(e3,e3) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e2 )
| op(e3,e2) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e1 )
| op(e3,e1) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e0 )
| op(e3,e0) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e4 )
| op(e2,e4) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e3 )
| op(e2,e3) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e2 )
| op(e2,e2) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e1 )
| op(e2,e1) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e0 )
| op(e2,e0) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e4 )
| op(e1,e4) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e3 )
| op(e1,e3) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e2 )
| op(e1,e2) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e1 )
| op(e1,e1) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e0 )
| op(e1,e0) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| op(e0,e4) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e3 )
| op(e0,e3) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| op(e0,e2) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| op(e0,e1) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP26_prd])],[]) ).
fof(f801,plain,
( sP22_prd
<=> ( ( ( e0 != unit
& op(e4,e0) = e0 )
| op(e4,e0) != e0 )
& sP26_prd ) ),
inference(formula_renaming,[status(thm)],[f768,f800]) ).
fof(f802,plain,
( ( ( ( e0 = unit
| op(e4,e0) != e0 )
& op(e4,e0) = e0 )
| ~ sP26_prd
| sP22_prd )
& ( ( ( ( e0 != unit
& op(e4,e0) = e0 )
| op(e4,e0) != e0 )
& sP26_prd )
| ~ sP22_prd ) ),
inference(NNF_transformation,[status(thm)],[f801]) ).
fof(f803,plain,
( sP26_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f802]) ).
fof(f805,plain,
( e0 != unit
| op(e4,e0) != e0
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f802]) ).
fof(f806,plain,
( op(e4,e0) = e0
| ~ sP26_prd
| sP22_prd ),
inference(cnf_transformation,[status(thm)],[f802]) ).
fof(f807,plain,
( e0 = unit
| op(e4,e0) != e0
| ~ sP26_prd
| sP22_prd ),
inference(cnf_transformation,[status(thm)],[f802]) ).
fof(f808,definition,
( sP27_prd
<=> ( ( ( e1 != unit
& op(e3,e1) = e3 )
| op(e3,e3) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e2 )
| op(e3,e2) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e1 )
| op(e3,e1) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e0 )
| op(e3,e0) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e4 )
| op(e2,e4) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e3 )
| op(e2,e3) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e2 )
| op(e2,e2) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e1 )
| op(e2,e1) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e0 )
| op(e2,e0) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e4 )
| op(e1,e4) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e3 )
| op(e1,e3) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e2 )
| op(e1,e2) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e1 )
| op(e1,e1) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e0 )
| op(e1,e0) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e4 )
| op(e0,e4) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e3 )
| op(e0,e3) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e2 )
| op(e0,e2) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e1 )
| op(e0,e1) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP27_prd])],[]) ).
fof(f809,plain,
( sP23_prd
<=> ( ( ( e1 != unit
& op(e3,e1) = e4 )
| op(e3,e4) != e1 )
& sP27_prd ) ),
inference(formula_renaming,[status(thm)],[f776,f808]) ).
fof(f810,plain,
( ( ( ( e1 = unit
| op(e3,e1) != e4 )
& op(e3,e4) = e1 )
| ~ sP27_prd
| sP23_prd )
& ( ( ( ( e1 != unit
& op(e3,e1) = e4 )
| op(e3,e4) != e1 )
& sP27_prd )
| ~ sP23_prd ) ),
inference(NNF_transformation,[status(thm)],[f809]) ).
fof(f811,plain,
( sP27_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f810]) ).
fof(f812,plain,
( op(e3,e1) = e4
| op(e3,e4) != e1
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f810]) ).
fof(f814,plain,
( op(e3,e4) = e1
| ~ sP27_prd
| sP23_prd ),
inference(cnf_transformation,[status(thm)],[f810]) ).
fof(f816,definition,
( sP28_prd
<=> ( ( ( e2 != unit
& op(e3,e2) = e2 )
| op(e3,e2) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e1 )
| op(e3,e1) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e0 )
| op(e3,e0) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e4 )
| op(e2,e4) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e3 )
| op(e2,e3) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e2 )
| op(e2,e2) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e1 )
| op(e2,e1) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e0 )
| op(e2,e0) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e4 )
| op(e1,e4) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e3 )
| op(e1,e3) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e2 )
| op(e1,e2) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e1 )
| op(e1,e1) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e0 )
| op(e1,e0) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e4 )
| op(e0,e4) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e3 )
| op(e0,e3) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e2 )
| op(e0,e2) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e1 )
| op(e0,e1) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e0 )
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP28_prd])],[]) ).
fof(f817,plain,
( sP24_prd
<=> ( ( ( e2 != unit
& op(e3,e2) = e3 )
| op(e3,e3) != e2 )
& sP28_prd ) ),
inference(formula_renaming,[status(thm)],[f784,f816]) ).
fof(f818,plain,
( ( ( ( e2 = unit
| op(e3,e2) != e3 )
& op(e3,e3) = e2 )
| ~ sP28_prd
| sP24_prd )
& ( ( ( ( e2 != unit
& op(e3,e2) = e3 )
| op(e3,e3) != e2 )
& sP28_prd )
| ~ sP24_prd ) ),
inference(NNF_transformation,[status(thm)],[f817]) ).
fof(f819,plain,
( sP28_prd
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f818]) ).
fof(f820,plain,
( op(e3,e2) = e3
| op(e3,e3) != e2
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f818]) ).
fof(f821,plain,
( e2 != unit
| op(e3,e3) != e2
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f818]) ).
fof(f822,plain,
( op(e3,e3) = e2
| ~ sP28_prd
| sP24_prd ),
inference(cnf_transformation,[status(thm)],[f818]) ).
fof(f824,definition,
( sP29_prd
<=> ( ( ( e3 != unit
& op(e3,e3) = e1 )
| op(e3,e1) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e0 )
| op(e3,e0) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e4 )
| op(e2,e4) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e3 )
| op(e2,e3) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e2 )
| op(e2,e2) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e1 )
| op(e2,e1) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e0 )
| op(e2,e0) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e4 )
| op(e1,e4) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e3 )
| op(e1,e3) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e2 )
| op(e1,e2) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e1 )
| op(e1,e1) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e0 )
| op(e1,e0) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e4 )
| op(e0,e4) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e3 )
| op(e0,e3) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e2 )
| op(e0,e2) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e1 )
| op(e0,e1) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e0 )
| op(e0,e0) != e3 ) ) ),
introduced(definition,[new_symbols(definition,[sP29_prd])],[]) ).
fof(f825,plain,
( sP25_prd
<=> ( ( ( e3 != unit
& op(e3,e3) = e2 )
| op(e3,e2) != e3 )
& sP29_prd ) ),
inference(formula_renaming,[status(thm)],[f792,f824]) ).
fof(f826,plain,
( ( ( ( e3 = unit
| op(e3,e3) != e2 )
& op(e3,e2) = e3 )
| ~ sP29_prd
| sP25_prd )
& ( ( ( ( e3 != unit
& op(e3,e3) = e2 )
| op(e3,e2) != e3 )
& sP29_prd )
| ~ sP25_prd ) ),
inference(NNF_transformation,[status(thm)],[f825]) ).
fof(f827,plain,
( sP29_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f826]) ).
fof(f828,plain,
( op(e3,e3) = e2
| op(e3,e2) != e3
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f826]) ).
fof(f830,plain,
( op(e3,e2) = e3
| ~ sP29_prd
| sP25_prd ),
inference(cnf_transformation,[status(thm)],[f826]) ).
fof(f832,definition,
( sP30_prd
<=> ( ( ( e0 != unit
& op(e3,e0) = e3 )
| op(e3,e3) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e2 )
| op(e3,e2) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e1 )
| op(e3,e1) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e0 )
| op(e3,e0) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e4 )
| op(e2,e4) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e3 )
| op(e2,e3) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e2 )
| op(e2,e2) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e1 )
| op(e2,e1) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e0 )
| op(e2,e0) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e4 )
| op(e1,e4) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e3 )
| op(e1,e3) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e2 )
| op(e1,e2) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e1 )
| op(e1,e1) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e0 )
| op(e1,e0) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| op(e0,e4) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e3 )
| op(e0,e3) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| op(e0,e2) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| op(e0,e1) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP30_prd])],[]) ).
fof(f833,plain,
( sP26_prd
<=> ( ( ( e0 != unit
& op(e3,e0) = e4 )
| op(e3,e4) != e0 )
& sP30_prd ) ),
inference(formula_renaming,[status(thm)],[f800,f832]) ).
fof(f834,plain,
( ( ( ( e0 = unit
| op(e3,e0) != e4 )
& op(e3,e4) = e0 )
| ~ sP30_prd
| sP26_prd )
& ( ( ( ( e0 != unit
& op(e3,e0) = e4 )
| op(e3,e4) != e0 )
& sP30_prd )
| ~ sP26_prd ) ),
inference(NNF_transformation,[status(thm)],[f833]) ).
fof(f835,plain,
( sP30_prd
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f834]) ).
fof(f836,plain,
( op(e3,e0) = e4
| op(e3,e4) != e0
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f834]) ).
fof(f837,plain,
( e0 != unit
| op(e3,e4) != e0
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f834]) ).
fof(f838,plain,
( op(e3,e4) = e0
| ~ sP30_prd
| sP26_prd ),
inference(cnf_transformation,[status(thm)],[f834]) ).
fof(f839,plain,
( e0 = unit
| op(e3,e0) != e4
| ~ sP30_prd
| sP26_prd ),
inference(cnf_transformation,[status(thm)],[f834]) ).
fof(f840,definition,
( sP31_prd
<=> ( ( ( e1 != unit
& op(e3,e1) = e2 )
| op(e3,e2) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e1 )
| op(e3,e1) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e0 )
| op(e3,e0) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e4 )
| op(e2,e4) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e3 )
| op(e2,e3) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e2 )
| op(e2,e2) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e1 )
| op(e2,e1) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e0 )
| op(e2,e0) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e4 )
| op(e1,e4) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e3 )
| op(e1,e3) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e2 )
| op(e1,e2) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e1 )
| op(e1,e1) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e0 )
| op(e1,e0) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e4 )
| op(e0,e4) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e3 )
| op(e0,e3) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e2 )
| op(e0,e2) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e1 )
| op(e0,e1) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP31_prd])],[]) ).
fof(f841,plain,
( sP27_prd
<=> ( ( ( e1 != unit
& op(e3,e1) = e3 )
| op(e3,e3) != e1 )
& sP31_prd ) ),
inference(formula_renaming,[status(thm)],[f808,f840]) ).
fof(f842,plain,
( ( ( ( e1 = unit
| op(e3,e1) != e3 )
& op(e3,e3) = e1 )
| ~ sP31_prd
| sP27_prd )
& ( ( ( ( e1 != unit
& op(e3,e1) = e3 )
| op(e3,e3) != e1 )
& sP31_prd )
| ~ sP27_prd ) ),
inference(NNF_transformation,[status(thm)],[f841]) ).
fof(f843,plain,
( sP31_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f842]) ).
fof(f844,plain,
( op(e3,e1) = e3
| op(e3,e3) != e1
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f842]) ).
fof(f845,plain,
( e1 != unit
| op(e3,e3) != e1
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f842]) ).
fof(f846,plain,
( op(e3,e3) = e1
| ~ sP31_prd
| sP27_prd ),
inference(cnf_transformation,[status(thm)],[f842]) ).
fof(f847,plain,
( e1 = unit
| op(e3,e1) != e3
| ~ sP31_prd
| sP27_prd ),
inference(cnf_transformation,[status(thm)],[f842]) ).
fof(f848,definition,
( sP32_prd
<=> ( ( ( e2 != unit
& op(e3,e2) = e1 )
| op(e3,e1) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e0 )
| op(e3,e0) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e4 )
| op(e2,e4) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e3 )
| op(e2,e3) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e2 )
| op(e2,e2) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e1 )
| op(e2,e1) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e0 )
| op(e2,e0) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e4 )
| op(e1,e4) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e3 )
| op(e1,e3) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e2 )
| op(e1,e2) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e1 )
| op(e1,e1) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e0 )
| op(e1,e0) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e4 )
| op(e0,e4) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e3 )
| op(e0,e3) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e2 )
| op(e0,e2) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e1 )
| op(e0,e1) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e0 )
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP32_prd])],[]) ).
fof(f849,plain,
( sP28_prd
<=> ( ( ( e2 != unit
& op(e3,e2) = e2 )
| op(e3,e2) != e2 )
& sP32_prd ) ),
inference(formula_renaming,[status(thm)],[f816,f848]) ).
fof(f850,plain,
( ( ( ( e2 = unit
| op(e3,e2) != e2 )
& op(e3,e2) = e2 )
| ~ sP32_prd
| sP28_prd )
& ( ( ( ( e2 != unit
& op(e3,e2) = e2 )
| op(e3,e2) != e2 )
& sP32_prd )
| ~ sP28_prd ) ),
inference(NNF_transformation,[status(thm)],[f849]) ).
fof(f851,plain,
( sP32_prd
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f850]) ).
fof(f853,plain,
( e2 != unit
| op(e3,e2) != e2
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f850]) ).
fof(f854,plain,
( op(e3,e2) = e2
| ~ sP32_prd
| sP28_prd ),
inference(cnf_transformation,[status(thm)],[f850]) ).
fof(f855,plain,
( e2 = unit
| op(e3,e2) != e2
| ~ sP32_prd
| sP28_prd ),
inference(cnf_transformation,[status(thm)],[f850]) ).
fof(f856,definition,
( sP33_prd
<=> ( ( ( e3 != unit
& op(e3,e3) = e0 )
| op(e3,e0) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e4 )
| op(e2,e4) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e3 )
| op(e2,e3) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e2 )
| op(e2,e2) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e1 )
| op(e2,e1) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e0 )
| op(e2,e0) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e4 )
| op(e1,e4) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e3 )
| op(e1,e3) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e2 )
| op(e1,e2) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e1 )
| op(e1,e1) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e0 )
| op(e1,e0) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e4 )
| op(e0,e4) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e3 )
| op(e0,e3) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e2 )
| op(e0,e2) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e1 )
| op(e0,e1) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e0 )
| op(e0,e0) != e3 ) ) ),
introduced(definition,[new_symbols(definition,[sP33_prd])],[]) ).
fof(f857,plain,
( sP29_prd
<=> ( ( ( e3 != unit
& op(e3,e3) = e1 )
| op(e3,e1) != e3 )
& sP33_prd ) ),
inference(formula_renaming,[status(thm)],[f824,f856]) ).
fof(f858,plain,
( ( ( ( e3 = unit
| op(e3,e3) != e1 )
& op(e3,e1) = e3 )
| ~ sP33_prd
| sP29_prd )
& ( ( ( ( e3 != unit
& op(e3,e3) = e1 )
| op(e3,e1) != e3 )
& sP33_prd )
| ~ sP29_prd ) ),
inference(NNF_transformation,[status(thm)],[f857]) ).
fof(f859,plain,
( sP33_prd
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f858]) ).
fof(f860,plain,
( op(e3,e3) = e1
| op(e3,e1) != e3
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f858]) ).
fof(f864,definition,
( sP34_prd
<=> ( ( ( e0 != unit
& op(e3,e0) = e2 )
| op(e3,e2) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e1 )
| op(e3,e1) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e0 )
| op(e3,e0) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e4 )
| op(e2,e4) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e3 )
| op(e2,e3) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e2 )
| op(e2,e2) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e1 )
| op(e2,e1) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e0 )
| op(e2,e0) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e4 )
| op(e1,e4) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e3 )
| op(e1,e3) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e2 )
| op(e1,e2) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e1 )
| op(e1,e1) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e0 )
| op(e1,e0) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| op(e0,e4) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e3 )
| op(e0,e3) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| op(e0,e2) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| op(e0,e1) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP34_prd])],[]) ).
fof(f865,plain,
( sP30_prd
<=> ( ( ( e0 != unit
& op(e3,e0) = e3 )
| op(e3,e3) != e0 )
& sP34_prd ) ),
inference(formula_renaming,[status(thm)],[f832,f864]) ).
fof(f866,plain,
( ( ( ( e0 = unit
| op(e3,e0) != e3 )
& op(e3,e3) = e0 )
| ~ sP34_prd
| sP30_prd )
& ( ( ( ( e0 != unit
& op(e3,e0) = e3 )
| op(e3,e3) != e0 )
& sP34_prd )
| ~ sP30_prd ) ),
inference(NNF_transformation,[status(thm)],[f865]) ).
fof(f867,plain,
( sP34_prd
| ~ sP30_prd ),
inference(cnf_transformation,[status(thm)],[f866]) ).
fof(f868,plain,
( op(e3,e0) = e3
| op(e3,e3) != e0
| ~ sP30_prd ),
inference(cnf_transformation,[status(thm)],[f866]) ).
fof(f869,plain,
( e0 != unit
| op(e3,e3) != e0
| ~ sP30_prd ),
inference(cnf_transformation,[status(thm)],[f866]) ).
fof(f870,plain,
( op(e3,e3) = e0
| ~ sP34_prd
| sP30_prd ),
inference(cnf_transformation,[status(thm)],[f866]) ).
fof(f872,definition,
( sP35_prd
<=> ( ( ( e1 != unit
& op(e3,e1) = e1 )
| op(e3,e1) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e0 )
| op(e3,e0) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e4 )
| op(e2,e4) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e3 )
| op(e2,e3) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e2 )
| op(e2,e2) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e1 )
| op(e2,e1) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e0 )
| op(e2,e0) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e4 )
| op(e1,e4) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e3 )
| op(e1,e3) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e2 )
| op(e1,e2) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e1 )
| op(e1,e1) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e0 )
| op(e1,e0) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e4 )
| op(e0,e4) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e3 )
| op(e0,e3) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e2 )
| op(e0,e2) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e1 )
| op(e0,e1) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP35_prd])],[]) ).
fof(f873,plain,
( sP31_prd
<=> ( ( ( e1 != unit
& op(e3,e1) = e2 )
| op(e3,e2) != e1 )
& sP35_prd ) ),
inference(formula_renaming,[status(thm)],[f840,f872]) ).
fof(f874,plain,
( ( ( ( e1 = unit
| op(e3,e1) != e2 )
& op(e3,e2) = e1 )
| ~ sP35_prd
| sP31_prd )
& ( ( ( ( e1 != unit
& op(e3,e1) = e2 )
| op(e3,e2) != e1 )
& sP35_prd )
| ~ sP31_prd ) ),
inference(NNF_transformation,[status(thm)],[f873]) ).
fof(f875,plain,
( sP35_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f874]) ).
fof(f876,plain,
( op(e3,e1) = e2
| op(e3,e2) != e1
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f874]) ).
fof(f877,plain,
( e1 != unit
| op(e3,e2) != e1
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f874]) ).
fof(f878,plain,
( op(e3,e2) = e1
| ~ sP35_prd
| sP31_prd ),
inference(cnf_transformation,[status(thm)],[f874]) ).
fof(f879,plain,
( e1 = unit
| op(e3,e1) != e2
| ~ sP35_prd
| sP31_prd ),
inference(cnf_transformation,[status(thm)],[f874]) ).
fof(f880,definition,
( sP36_prd
<=> ( ( ( e2 != unit
& op(e3,e2) = e0 )
| op(e3,e0) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e4 )
| op(e2,e4) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e3 )
| op(e2,e3) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e2 )
| op(e2,e2) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e1 )
| op(e2,e1) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e0 )
| op(e2,e0) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e4 )
| op(e1,e4) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e3 )
| op(e1,e3) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e2 )
| op(e1,e2) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e1 )
| op(e1,e1) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e0 )
| op(e1,e0) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e4 )
| op(e0,e4) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e3 )
| op(e0,e3) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e2 )
| op(e0,e2) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e1 )
| op(e0,e1) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e0 )
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP36_prd])],[]) ).
fof(f881,plain,
( sP32_prd
<=> ( ( ( e2 != unit
& op(e3,e2) = e1 )
| op(e3,e1) != e2 )
& sP36_prd ) ),
inference(formula_renaming,[status(thm)],[f848,f880]) ).
fof(f882,plain,
( ( ( ( e2 = unit
| op(e3,e2) != e1 )
& op(e3,e1) = e2 )
| ~ sP36_prd
| sP32_prd )
& ( ( ( ( e2 != unit
& op(e3,e2) = e1 )
| op(e3,e1) != e2 )
& sP36_prd )
| ~ sP32_prd ) ),
inference(NNF_transformation,[status(thm)],[f881]) ).
fof(f883,plain,
( sP36_prd
| ~ sP32_prd ),
inference(cnf_transformation,[status(thm)],[f882]) ).
fof(f884,plain,
( op(e3,e2) = e1
| op(e3,e1) != e2
| ~ sP32_prd ),
inference(cnf_transformation,[status(thm)],[f882]) ).
fof(f885,plain,
( e2 != unit
| op(e3,e1) != e2
| ~ sP32_prd ),
inference(cnf_transformation,[status(thm)],[f882]) ).
fof(f886,plain,
( op(e3,e1) = e2
| ~ sP36_prd
| sP32_prd ),
inference(cnf_transformation,[status(thm)],[f882]) ).
fof(f888,definition,
( sP37_prd
<=> ( ( ( e3 != unit
& op(e2,e3) = e4 )
| op(e2,e4) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e3 )
| op(e2,e3) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e2 )
| op(e2,e2) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e1 )
| op(e2,e1) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e0 )
| op(e2,e0) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e4 )
| op(e1,e4) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e3 )
| op(e1,e3) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e2 )
| op(e1,e2) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e1 )
| op(e1,e1) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e0 )
| op(e1,e0) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e4 )
| op(e0,e4) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e3 )
| op(e0,e3) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e2 )
| op(e0,e2) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e1 )
| op(e0,e1) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e0 )
| op(e0,e0) != e3 ) ) ),
introduced(definition,[new_symbols(definition,[sP37_prd])],[]) ).
fof(f889,plain,
( sP33_prd
<=> ( ( ( e3 != unit
& op(e3,e3) = e0 )
| op(e3,e0) != e3 )
& sP37_prd ) ),
inference(formula_renaming,[status(thm)],[f856,f888]) ).
fof(f890,plain,
( ( ( ( e3 = unit
| op(e3,e3) != e0 )
& op(e3,e0) = e3 )
| ~ sP37_prd
| sP33_prd )
& ( ( ( ( e3 != unit
& op(e3,e3) = e0 )
| op(e3,e0) != e3 )
& sP37_prd )
| ~ sP33_prd ) ),
inference(NNF_transformation,[status(thm)],[f889]) ).
fof(f891,plain,
( sP37_prd
| ~ sP33_prd ),
inference(cnf_transformation,[status(thm)],[f890]) ).
fof(f892,plain,
( op(e3,e3) = e0
| op(e3,e0) != e3
| ~ sP33_prd ),
inference(cnf_transformation,[status(thm)],[f890]) ).
fof(f894,plain,
( op(e3,e0) = e3
| ~ sP37_prd
| sP33_prd ),
inference(cnf_transformation,[status(thm)],[f890]) ).
fof(f896,definition,
( sP38_prd
<=> ( ( ( e0 != unit
& op(e3,e0) = e1 )
| op(e3,e1) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e0 )
| op(e3,e0) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e4 )
| op(e2,e4) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e3 )
| op(e2,e3) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e2 )
| op(e2,e2) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e1 )
| op(e2,e1) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e0 )
| op(e2,e0) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e4 )
| op(e1,e4) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e3 )
| op(e1,e3) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e2 )
| op(e1,e2) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e1 )
| op(e1,e1) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e0 )
| op(e1,e0) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| op(e0,e4) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e3 )
| op(e0,e3) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| op(e0,e2) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| op(e0,e1) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP38_prd])],[]) ).
fof(f897,plain,
( sP34_prd
<=> ( ( ( e0 != unit
& op(e3,e0) = e2 )
| op(e3,e2) != e0 )
& sP38_prd ) ),
inference(formula_renaming,[status(thm)],[f864,f896]) ).
fof(f898,plain,
( ( ( ( e0 = unit
| op(e3,e0) != e2 )
& op(e3,e2) = e0 )
| ~ sP38_prd
| sP34_prd )
& ( ( ( ( e0 != unit
& op(e3,e0) = e2 )
| op(e3,e2) != e0 )
& sP38_prd )
| ~ sP34_prd ) ),
inference(NNF_transformation,[status(thm)],[f897]) ).
fof(f899,plain,
( sP38_prd
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f898]) ).
fof(f900,plain,
( op(e3,e0) = e2
| op(e3,e2) != e0
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f898]) ).
fof(f901,plain,
( e0 != unit
| op(e3,e2) != e0
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f898]) ).
fof(f902,plain,
( op(e3,e2) = e0
| ~ sP38_prd
| sP34_prd ),
inference(cnf_transformation,[status(thm)],[f898]) ).
fof(f903,plain,
( e0 = unit
| op(e3,e0) != e2
| ~ sP38_prd
| sP34_prd ),
inference(cnf_transformation,[status(thm)],[f898]) ).
fof(f904,definition,
( sP39_prd
<=> ( ( ( e1 != unit
& op(e3,e1) = e0 )
| op(e3,e0) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e4 )
| op(e2,e4) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e3 )
| op(e2,e3) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e2 )
| op(e2,e2) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e1 )
| op(e2,e1) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e0 )
| op(e2,e0) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e4 )
| op(e1,e4) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e3 )
| op(e1,e3) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e2 )
| op(e1,e2) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e1 )
| op(e1,e1) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e0 )
| op(e1,e0) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e4 )
| op(e0,e4) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e3 )
| op(e0,e3) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e2 )
| op(e0,e2) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e1 )
| op(e0,e1) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP39_prd])],[]) ).
fof(f905,plain,
( sP35_prd
<=> ( ( ( e1 != unit
& op(e3,e1) = e1 )
| op(e3,e1) != e1 )
& sP39_prd ) ),
inference(formula_renaming,[status(thm)],[f872,f904]) ).
fof(f906,plain,
( ( ( ( e1 = unit
| op(e3,e1) != e1 )
& op(e3,e1) = e1 )
| ~ sP39_prd
| sP35_prd )
& ( ( ( ( e1 != unit
& op(e3,e1) = e1 )
| op(e3,e1) != e1 )
& sP39_prd )
| ~ sP35_prd ) ),
inference(NNF_transformation,[status(thm)],[f905]) ).
fof(f907,plain,
( sP39_prd
| ~ sP35_prd ),
inference(cnf_transformation,[status(thm)],[f906]) ).
fof(f909,plain,
( e1 != unit
| op(e3,e1) != e1
| ~ sP35_prd ),
inference(cnf_transformation,[status(thm)],[f906]) ).
fof(f910,plain,
( op(e3,e1) = e1
| ~ sP39_prd
| sP35_prd ),
inference(cnf_transformation,[status(thm)],[f906]) ).
fof(f912,definition,
( sP40_prd
<=> ( ( ( e2 != unit
& op(e2,e2) = e4 )
| op(e2,e4) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e3 )
| op(e2,e3) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e2 )
| op(e2,e2) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e1 )
| op(e2,e1) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e0 )
| op(e2,e0) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e4 )
| op(e1,e4) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e3 )
| op(e1,e3) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e2 )
| op(e1,e2) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e1 )
| op(e1,e1) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e0 )
| op(e1,e0) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e4 )
| op(e0,e4) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e3 )
| op(e0,e3) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e2 )
| op(e0,e2) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e1 )
| op(e0,e1) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e0 )
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP40_prd])],[]) ).
fof(f913,plain,
( sP36_prd
<=> ( ( ( e2 != unit
& op(e3,e2) = e0 )
| op(e3,e0) != e2 )
& sP40_prd ) ),
inference(formula_renaming,[status(thm)],[f880,f912]) ).
fof(f914,plain,
( ( ( ( e2 = unit
| op(e3,e2) != e0 )
& op(e3,e0) = e2 )
| ~ sP40_prd
| sP36_prd )
& ( ( ( ( e2 != unit
& op(e3,e2) = e0 )
| op(e3,e0) != e2 )
& sP40_prd )
| ~ sP36_prd ) ),
inference(NNF_transformation,[status(thm)],[f913]) ).
fof(f915,plain,
( sP40_prd
| ~ sP36_prd ),
inference(cnf_transformation,[status(thm)],[f914]) ).
fof(f916,plain,
( op(e3,e2) = e0
| op(e3,e0) != e2
| ~ sP36_prd ),
inference(cnf_transformation,[status(thm)],[f914]) ).
fof(f917,plain,
( e2 != unit
| op(e3,e0) != e2
| ~ sP36_prd ),
inference(cnf_transformation,[status(thm)],[f914]) ).
fof(f918,plain,
( op(e3,e0) = e2
| ~ sP40_prd
| sP36_prd ),
inference(cnf_transformation,[status(thm)],[f914]) ).
fof(f920,definition,
( sP41_prd
<=> ( ( ( e3 != unit
& op(e2,e3) = e3 )
| op(e2,e3) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e2 )
| op(e2,e2) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e1 )
| op(e2,e1) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e0 )
| op(e2,e0) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e4 )
| op(e1,e4) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e3 )
| op(e1,e3) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e2 )
| op(e1,e2) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e1 )
| op(e1,e1) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e0 )
| op(e1,e0) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e4 )
| op(e0,e4) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e3 )
| op(e0,e3) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e2 )
| op(e0,e2) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e1 )
| op(e0,e1) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e0 )
| op(e0,e0) != e3 ) ) ),
introduced(definition,[new_symbols(definition,[sP41_prd])],[]) ).
fof(f921,plain,
( sP37_prd
<=> ( ( ( e3 != unit
& op(e2,e3) = e4 )
| op(e2,e4) != e3 )
& sP41_prd ) ),
inference(formula_renaming,[status(thm)],[f888,f920]) ).
fof(f922,plain,
( ( ( ( e3 = unit
| op(e2,e3) != e4 )
& op(e2,e4) = e3 )
| ~ sP41_prd
| sP37_prd )
& ( ( ( ( e3 != unit
& op(e2,e3) = e4 )
| op(e2,e4) != e3 )
& sP41_prd )
| ~ sP37_prd ) ),
inference(NNF_transformation,[status(thm)],[f921]) ).
fof(f923,plain,
( sP41_prd
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f922]) ).
fof(f924,plain,
( op(e2,e3) = e4
| op(e2,e4) != e3
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f922]) ).
fof(f926,plain,
( op(e2,e4) = e3
| ~ sP41_prd
| sP37_prd ),
inference(cnf_transformation,[status(thm)],[f922]) ).
fof(f928,definition,
( sP42_prd
<=> ( ( ( e0 != unit
& op(e3,e0) = e0 )
| op(e3,e0) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e4 )
| op(e2,e4) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e3 )
| op(e2,e3) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e2 )
| op(e2,e2) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e1 )
| op(e2,e1) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e0 )
| op(e2,e0) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e4 )
| op(e1,e4) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e3 )
| op(e1,e3) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e2 )
| op(e1,e2) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e1 )
| op(e1,e1) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e0 )
| op(e1,e0) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| op(e0,e4) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e3 )
| op(e0,e3) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| op(e0,e2) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| op(e0,e1) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP42_prd])],[]) ).
fof(f929,plain,
( sP38_prd
<=> ( ( ( e0 != unit
& op(e3,e0) = e1 )
| op(e3,e1) != e0 )
& sP42_prd ) ),
inference(formula_renaming,[status(thm)],[f896,f928]) ).
fof(f930,plain,
( ( ( ( e0 = unit
| op(e3,e0) != e1 )
& op(e3,e1) = e0 )
| ~ sP42_prd
| sP38_prd )
& ( ( ( ( e0 != unit
& op(e3,e0) = e1 )
| op(e3,e1) != e0 )
& sP42_prd )
| ~ sP38_prd ) ),
inference(NNF_transformation,[status(thm)],[f929]) ).
fof(f931,plain,
( sP42_prd
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f930]) ).
fof(f932,plain,
( op(e3,e0) = e1
| op(e3,e1) != e0
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f930]) ).
fof(f933,plain,
( e0 != unit
| op(e3,e1) != e0
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f930]) ).
fof(f934,plain,
( op(e3,e1) = e0
| ~ sP42_prd
| sP38_prd ),
inference(cnf_transformation,[status(thm)],[f930]) ).
fof(f935,plain,
( e0 = unit
| op(e3,e0) != e1
| ~ sP42_prd
| sP38_prd ),
inference(cnf_transformation,[status(thm)],[f930]) ).
fof(f936,definition,
( sP43_prd
<=> ( ( ( e1 != unit
& op(e2,e1) = e4 )
| op(e2,e4) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e3 )
| op(e2,e3) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e2 )
| op(e2,e2) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e1 )
| op(e2,e1) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e0 )
| op(e2,e0) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e4 )
| op(e1,e4) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e3 )
| op(e1,e3) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e2 )
| op(e1,e2) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e1 )
| op(e1,e1) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e0 )
| op(e1,e0) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e4 )
| op(e0,e4) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e3 )
| op(e0,e3) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e2 )
| op(e0,e2) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e1 )
| op(e0,e1) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP43_prd])],[]) ).
fof(f937,plain,
( sP39_prd
<=> ( ( ( e1 != unit
& op(e3,e1) = e0 )
| op(e3,e0) != e1 )
& sP43_prd ) ),
inference(formula_renaming,[status(thm)],[f904,f936]) ).
fof(f938,plain,
( ( ( ( e1 = unit
| op(e3,e1) != e0 )
& op(e3,e0) = e1 )
| ~ sP43_prd
| sP39_prd )
& ( ( ( ( e1 != unit
& op(e3,e1) = e0 )
| op(e3,e0) != e1 )
& sP43_prd )
| ~ sP39_prd ) ),
inference(NNF_transformation,[status(thm)],[f937]) ).
fof(f939,plain,
( sP43_prd
| ~ sP39_prd ),
inference(cnf_transformation,[status(thm)],[f938]) ).
fof(f940,plain,
( op(e3,e1) = e0
| op(e3,e0) != e1
| ~ sP39_prd ),
inference(cnf_transformation,[status(thm)],[f938]) ).
fof(f941,plain,
( e1 != unit
| op(e3,e0) != e1
| ~ sP39_prd ),
inference(cnf_transformation,[status(thm)],[f938]) ).
fof(f942,plain,
( op(e3,e0) = e1
| ~ sP43_prd
| sP39_prd ),
inference(cnf_transformation,[status(thm)],[f938]) ).
fof(f943,plain,
( e1 = unit
| op(e3,e1) != e0
| ~ sP43_prd
| sP39_prd ),
inference(cnf_transformation,[status(thm)],[f938]) ).
fof(f944,definition,
( sP44_prd
<=> ( ( ( e2 != unit
& op(e2,e2) = e3 )
| op(e2,e3) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e2 )
| op(e2,e2) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e1 )
| op(e2,e1) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e0 )
| op(e2,e0) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e4 )
| op(e1,e4) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e3 )
| op(e1,e3) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e2 )
| op(e1,e2) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e1 )
| op(e1,e1) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e0 )
| op(e1,e0) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e4 )
| op(e0,e4) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e3 )
| op(e0,e3) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e2 )
| op(e0,e2) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e1 )
| op(e0,e1) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e0 )
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP44_prd])],[]) ).
fof(f945,plain,
( sP40_prd
<=> ( ( ( e2 != unit
& op(e2,e2) = e4 )
| op(e2,e4) != e2 )
& sP44_prd ) ),
inference(formula_renaming,[status(thm)],[f912,f944]) ).
fof(f946,plain,
( ( ( ( e2 = unit
| op(e2,e2) != e4 )
& op(e2,e4) = e2 )
| ~ sP44_prd
| sP40_prd )
& ( ( ( ( e2 != unit
& op(e2,e2) = e4 )
| op(e2,e4) != e2 )
& sP44_prd )
| ~ sP40_prd ) ),
inference(NNF_transformation,[status(thm)],[f945]) ).
fof(f947,plain,
( sP44_prd
| ~ sP40_prd ),
inference(cnf_transformation,[status(thm)],[f946]) ).
fof(f948,plain,
( op(e2,e2) = e4
| op(e2,e4) != e2
| ~ sP40_prd ),
inference(cnf_transformation,[status(thm)],[f946]) ).
fof(f950,plain,
( op(e2,e4) = e2
| ~ sP44_prd
| sP40_prd ),
inference(cnf_transformation,[status(thm)],[f946]) ).
fof(f952,definition,
( sP45_prd
<=> ( ( ( e3 != unit
& op(e2,e3) = e2 )
| op(e2,e2) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e1 )
| op(e2,e1) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e0 )
| op(e2,e0) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e4 )
| op(e1,e4) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e3 )
| op(e1,e3) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e2 )
| op(e1,e2) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e1 )
| op(e1,e1) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e0 )
| op(e1,e0) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e4 )
| op(e0,e4) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e3 )
| op(e0,e3) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e2 )
| op(e0,e2) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e1 )
| op(e0,e1) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e0 )
| op(e0,e0) != e3 ) ) ),
introduced(definition,[new_symbols(definition,[sP45_prd])],[]) ).
fof(f953,plain,
( sP41_prd
<=> ( ( ( e3 != unit
& op(e2,e3) = e3 )
| op(e2,e3) != e3 )
& sP45_prd ) ),
inference(formula_renaming,[status(thm)],[f920,f952]) ).
fof(f954,plain,
( ( ( ( e3 = unit
| op(e2,e3) != e3 )
& op(e2,e3) = e3 )
| ~ sP45_prd
| sP41_prd )
& ( ( ( ( e3 != unit
& op(e2,e3) = e3 )
| op(e2,e3) != e3 )
& sP45_prd )
| ~ sP41_prd ) ),
inference(NNF_transformation,[status(thm)],[f953]) ).
fof(f955,plain,
( sP45_prd
| ~ sP41_prd ),
inference(cnf_transformation,[status(thm)],[f954]) ).
fof(f960,definition,
( sP46_prd
<=> ( ( ( e0 != unit
& op(e2,e0) = e4 )
| op(e2,e4) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e3 )
| op(e2,e3) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e2 )
| op(e2,e2) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e1 )
| op(e2,e1) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e0 )
| op(e2,e0) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e4 )
| op(e1,e4) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e3 )
| op(e1,e3) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e2 )
| op(e1,e2) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e1 )
| op(e1,e1) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e0 )
| op(e1,e0) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| op(e0,e4) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e3 )
| op(e0,e3) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| op(e0,e2) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| op(e0,e1) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP46_prd])],[]) ).
fof(f961,plain,
( sP42_prd
<=> ( ( ( e0 != unit
& op(e3,e0) = e0 )
| op(e3,e0) != e0 )
& sP46_prd ) ),
inference(formula_renaming,[status(thm)],[f928,f960]) ).
fof(f962,plain,
( ( ( ( e0 = unit
| op(e3,e0) != e0 )
& op(e3,e0) = e0 )
| ~ sP46_prd
| sP42_prd )
& ( ( ( ( e0 != unit
& op(e3,e0) = e0 )
| op(e3,e0) != e0 )
& sP46_prd )
| ~ sP42_prd ) ),
inference(NNF_transformation,[status(thm)],[f961]) ).
fof(f963,plain,
( sP46_prd
| ~ sP42_prd ),
inference(cnf_transformation,[status(thm)],[f962]) ).
fof(f965,plain,
( e0 != unit
| op(e3,e0) != e0
| ~ sP42_prd ),
inference(cnf_transformation,[status(thm)],[f962]) ).
fof(f966,plain,
( op(e3,e0) = e0
| ~ sP46_prd
| sP42_prd ),
inference(cnf_transformation,[status(thm)],[f962]) ).
fof(f967,plain,
( e0 = unit
| op(e3,e0) != e0
| ~ sP46_prd
| sP42_prd ),
inference(cnf_transformation,[status(thm)],[f962]) ).
fof(f968,definition,
( sP47_prd
<=> ( ( ( e1 != unit
& op(e2,e1) = e3 )
| op(e2,e3) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e2 )
| op(e2,e2) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e1 )
| op(e2,e1) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e0 )
| op(e2,e0) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e4 )
| op(e1,e4) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e3 )
| op(e1,e3) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e2 )
| op(e1,e2) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e1 )
| op(e1,e1) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e0 )
| op(e1,e0) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e4 )
| op(e0,e4) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e3 )
| op(e0,e3) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e2 )
| op(e0,e2) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e1 )
| op(e0,e1) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP47_prd])],[]) ).
fof(f969,plain,
( sP43_prd
<=> ( ( ( e1 != unit
& op(e2,e1) = e4 )
| op(e2,e4) != e1 )
& sP47_prd ) ),
inference(formula_renaming,[status(thm)],[f936,f968]) ).
fof(f970,plain,
( ( ( ( e1 = unit
| op(e2,e1) != e4 )
& op(e2,e4) = e1 )
| ~ sP47_prd
| sP43_prd )
& ( ( ( ( e1 != unit
& op(e2,e1) = e4 )
| op(e2,e4) != e1 )
& sP47_prd )
| ~ sP43_prd ) ),
inference(NNF_transformation,[status(thm)],[f969]) ).
fof(f971,plain,
( sP47_prd
| ~ sP43_prd ),
inference(cnf_transformation,[status(thm)],[f970]) ).
fof(f972,plain,
( op(e2,e1) = e4
| op(e2,e4) != e1
| ~ sP43_prd ),
inference(cnf_transformation,[status(thm)],[f970]) ).
fof(f973,plain,
( e1 != unit
| op(e2,e4) != e1
| ~ sP43_prd ),
inference(cnf_transformation,[status(thm)],[f970]) ).
fof(f974,plain,
( op(e2,e4) = e1
| ~ sP47_prd
| sP43_prd ),
inference(cnf_transformation,[status(thm)],[f970]) ).
fof(f976,definition,
( sP48_prd
<=> ( ( ( e2 != unit
& op(e2,e2) = e2 )
| op(e2,e2) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e1 )
| op(e2,e1) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e0 )
| op(e2,e0) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e4 )
| op(e1,e4) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e3 )
| op(e1,e3) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e2 )
| op(e1,e2) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e1 )
| op(e1,e1) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e0 )
| op(e1,e0) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e4 )
| op(e0,e4) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e3 )
| op(e0,e3) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e2 )
| op(e0,e2) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e1 )
| op(e0,e1) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e0 )
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP48_prd])],[]) ).
fof(f977,plain,
( sP44_prd
<=> ( ( ( e2 != unit
& op(e2,e2) = e3 )
| op(e2,e3) != e2 )
& sP48_prd ) ),
inference(formula_renaming,[status(thm)],[f944,f976]) ).
fof(f978,plain,
( ( ( ( e2 = unit
| op(e2,e2) != e3 )
& op(e2,e3) = e2 )
| ~ sP48_prd
| sP44_prd )
& ( ( ( ( e2 != unit
& op(e2,e2) = e3 )
| op(e2,e3) != e2 )
& sP48_prd )
| ~ sP44_prd ) ),
inference(NNF_transformation,[status(thm)],[f977]) ).
fof(f979,plain,
( sP48_prd
| ~ sP44_prd ),
inference(cnf_transformation,[status(thm)],[f978]) ).
fof(f980,plain,
( op(e2,e2) = e3
| op(e2,e3) != e2
| ~ sP44_prd ),
inference(cnf_transformation,[status(thm)],[f978]) ).
fof(f981,plain,
( e2 != unit
| op(e2,e3) != e2
| ~ sP44_prd ),
inference(cnf_transformation,[status(thm)],[f978]) ).
fof(f982,plain,
( op(e2,e3) = e2
| ~ sP48_prd
| sP44_prd ),
inference(cnf_transformation,[status(thm)],[f978]) ).
fof(f984,definition,
( sP49_prd
<=> ( ( ( e3 != unit
& op(e2,e3) = e1 )
| op(e2,e1) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e0 )
| op(e2,e0) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e4 )
| op(e1,e4) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e3 )
| op(e1,e3) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e2 )
| op(e1,e2) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e1 )
| op(e1,e1) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e0 )
| op(e1,e0) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e4 )
| op(e0,e4) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e3 )
| op(e0,e3) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e2 )
| op(e0,e2) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e1 )
| op(e0,e1) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e0 )
| op(e0,e0) != e3 ) ) ),
introduced(definition,[new_symbols(definition,[sP49_prd])],[]) ).
fof(f985,plain,
( sP45_prd
<=> ( ( ( e3 != unit
& op(e2,e3) = e2 )
| op(e2,e2) != e3 )
& sP49_prd ) ),
inference(formula_renaming,[status(thm)],[f952,f984]) ).
fof(f986,plain,
( ( ( ( e3 = unit
| op(e2,e3) != e2 )
& op(e2,e2) = e3 )
| ~ sP49_prd
| sP45_prd )
& ( ( ( ( e3 != unit
& op(e2,e3) = e2 )
| op(e2,e2) != e3 )
& sP49_prd )
| ~ sP45_prd ) ),
inference(NNF_transformation,[status(thm)],[f985]) ).
fof(f987,plain,
( sP49_prd
| ~ sP45_prd ),
inference(cnf_transformation,[status(thm)],[f986]) ).
fof(f988,plain,
( op(e2,e3) = e2
| op(e2,e2) != e3
| ~ sP45_prd ),
inference(cnf_transformation,[status(thm)],[f986]) ).
fof(f989,plain,
( e3 != unit
| op(e2,e2) != e3
| ~ sP45_prd ),
inference(cnf_transformation,[status(thm)],[f986]) ).
fof(f992,definition,
( sP50_prd
<=> ( ( ( e0 != unit
& op(e2,e0) = e3 )
| op(e2,e3) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e2 )
| op(e2,e2) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e1 )
| op(e2,e1) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e0 )
| op(e2,e0) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e4 )
| op(e1,e4) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e3 )
| op(e1,e3) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e2 )
| op(e1,e2) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e1 )
| op(e1,e1) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e0 )
| op(e1,e0) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| op(e0,e4) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e3 )
| op(e0,e3) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| op(e0,e2) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| op(e0,e1) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP50_prd])],[]) ).
fof(f993,plain,
( sP46_prd
<=> ( ( ( e0 != unit
& op(e2,e0) = e4 )
| op(e2,e4) != e0 )
& sP50_prd ) ),
inference(formula_renaming,[status(thm)],[f960,f992]) ).
fof(f994,plain,
( ( ( ( e0 = unit
| op(e2,e0) != e4 )
& op(e2,e4) = e0 )
| ~ sP50_prd
| sP46_prd )
& ( ( ( ( e0 != unit
& op(e2,e0) = e4 )
| op(e2,e4) != e0 )
& sP50_prd )
| ~ sP46_prd ) ),
inference(NNF_transformation,[status(thm)],[f993]) ).
fof(f995,plain,
( sP50_prd
| ~ sP46_prd ),
inference(cnf_transformation,[status(thm)],[f994]) ).
fof(f996,plain,
( op(e2,e0) = e4
| op(e2,e4) != e0
| ~ sP46_prd ),
inference(cnf_transformation,[status(thm)],[f994]) ).
fof(f997,plain,
( e0 != unit
| op(e2,e4) != e0
| ~ sP46_prd ),
inference(cnf_transformation,[status(thm)],[f994]) ).
fof(f998,plain,
( op(e2,e4) = e0
| ~ sP50_prd
| sP46_prd ),
inference(cnf_transformation,[status(thm)],[f994]) ).
fof(f999,plain,
( e0 = unit
| op(e2,e0) != e4
| ~ sP50_prd
| sP46_prd ),
inference(cnf_transformation,[status(thm)],[f994]) ).
fof(f1000,definition,
( sP51_prd
<=> ( ( ( e1 != unit
& op(e2,e1) = e2 )
| op(e2,e2) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e1 )
| op(e2,e1) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e0 )
| op(e2,e0) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e4 )
| op(e1,e4) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e3 )
| op(e1,e3) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e2 )
| op(e1,e2) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e1 )
| op(e1,e1) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e0 )
| op(e1,e0) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e4 )
| op(e0,e4) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e3 )
| op(e0,e3) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e2 )
| op(e0,e2) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e1 )
| op(e0,e1) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP51_prd])],[]) ).
fof(f1001,plain,
( sP47_prd
<=> ( ( ( e1 != unit
& op(e2,e1) = e3 )
| op(e2,e3) != e1 )
& sP51_prd ) ),
inference(formula_renaming,[status(thm)],[f968,f1000]) ).
fof(f1002,plain,
( ( ( ( e1 = unit
| op(e2,e1) != e3 )
& op(e2,e3) = e1 )
| ~ sP51_prd
| sP47_prd )
& ( ( ( ( e1 != unit
& op(e2,e1) = e3 )
| op(e2,e3) != e1 )
& sP51_prd )
| ~ sP47_prd ) ),
inference(NNF_transformation,[status(thm)],[f1001]) ).
fof(f1003,plain,
( sP51_prd
| ~ sP47_prd ),
inference(cnf_transformation,[status(thm)],[f1002]) ).
fof(f1004,plain,
( op(e2,e1) = e3
| op(e2,e3) != e1
| ~ sP47_prd ),
inference(cnf_transformation,[status(thm)],[f1002]) ).
fof(f1006,plain,
( op(e2,e3) = e1
| ~ sP51_prd
| sP47_prd ),
inference(cnf_transformation,[status(thm)],[f1002]) ).
fof(f1007,plain,
( e1 = unit
| op(e2,e1) != e3
| ~ sP51_prd
| sP47_prd ),
inference(cnf_transformation,[status(thm)],[f1002]) ).
fof(f1008,definition,
( sP52_prd
<=> ( ( ( e2 != unit
& op(e2,e2) = e1 )
| op(e2,e1) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e0 )
| op(e2,e0) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e4 )
| op(e1,e4) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e3 )
| op(e1,e3) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e2 )
| op(e1,e2) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e1 )
| op(e1,e1) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e0 )
| op(e1,e0) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e4 )
| op(e0,e4) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e3 )
| op(e0,e3) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e2 )
| op(e0,e2) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e1 )
| op(e0,e1) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e0 )
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP52_prd])],[]) ).
fof(f1009,plain,
( sP48_prd
<=> ( ( ( e2 != unit
& op(e2,e2) = e2 )
| op(e2,e2) != e2 )
& sP52_prd ) ),
inference(formula_renaming,[status(thm)],[f976,f1008]) ).
fof(f1010,plain,
( ( ( ( e2 = unit
| op(e2,e2) != e2 )
& op(e2,e2) = e2 )
| ~ sP52_prd
| sP48_prd )
& ( ( ( ( e2 != unit
& op(e2,e2) = e2 )
| op(e2,e2) != e2 )
& sP52_prd )
| ~ sP48_prd ) ),
inference(NNF_transformation,[status(thm)],[f1009]) ).
fof(f1011,plain,
( sP52_prd
| ~ sP48_prd ),
inference(cnf_transformation,[status(thm)],[f1010]) ).
fof(f1013,plain,
( e2 != unit
| op(e2,e2) != e2
| ~ sP48_prd ),
inference(cnf_transformation,[status(thm)],[f1010]) ).
fof(f1014,plain,
( op(e2,e2) = e2
| ~ sP52_prd
| sP48_prd ),
inference(cnf_transformation,[status(thm)],[f1010]) ).
fof(f1016,definition,
( sP53_prd
<=> ( ( ( e3 != unit
& op(e2,e3) = e0 )
| op(e2,e0) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e4 )
| op(e1,e4) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e3 )
| op(e1,e3) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e2 )
| op(e1,e2) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e1 )
| op(e1,e1) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e0 )
| op(e1,e0) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e4 )
| op(e0,e4) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e3 )
| op(e0,e3) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e2 )
| op(e0,e2) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e1 )
| op(e0,e1) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e0 )
| op(e0,e0) != e3 ) ) ),
introduced(definition,[new_symbols(definition,[sP53_prd])],[]) ).
fof(f1017,plain,
( sP49_prd
<=> ( ( ( e3 != unit
& op(e2,e3) = e1 )
| op(e2,e1) != e3 )
& sP53_prd ) ),
inference(formula_renaming,[status(thm)],[f984,f1016]) ).
fof(f1018,plain,
( ( ( ( e3 = unit
| op(e2,e3) != e1 )
& op(e2,e1) = e3 )
| ~ sP53_prd
| sP49_prd )
& ( ( ( ( e3 != unit
& op(e2,e3) = e1 )
| op(e2,e1) != e3 )
& sP53_prd )
| ~ sP49_prd ) ),
inference(NNF_transformation,[status(thm)],[f1017]) ).
fof(f1019,plain,
( sP53_prd
| ~ sP49_prd ),
inference(cnf_transformation,[status(thm)],[f1018]) ).
fof(f1020,plain,
( op(e2,e3) = e1
| op(e2,e1) != e3
| ~ sP49_prd ),
inference(cnf_transformation,[status(thm)],[f1018]) ).
fof(f1021,plain,
( e3 != unit
| op(e2,e1) != e3
| ~ sP49_prd ),
inference(cnf_transformation,[status(thm)],[f1018]) ).
fof(f1022,plain,
( op(e2,e1) = e3
| ~ sP53_prd
| sP49_prd ),
inference(cnf_transformation,[status(thm)],[f1018]) ).
fof(f1024,definition,
( sP54_prd
<=> ( ( ( e0 != unit
& op(e2,e0) = e2 )
| op(e2,e2) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e1 )
| op(e2,e1) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e0 )
| op(e2,e0) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e4 )
| op(e1,e4) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e3 )
| op(e1,e3) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e2 )
| op(e1,e2) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e1 )
| op(e1,e1) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e0 )
| op(e1,e0) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| op(e0,e4) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e3 )
| op(e0,e3) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| op(e0,e2) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| op(e0,e1) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP54_prd])],[]) ).
fof(f1025,plain,
( sP50_prd
<=> ( ( ( e0 != unit
& op(e2,e0) = e3 )
| op(e2,e3) != e0 )
& sP54_prd ) ),
inference(formula_renaming,[status(thm)],[f992,f1024]) ).
fof(f1026,plain,
( ( ( ( e0 = unit
| op(e2,e0) != e3 )
& op(e2,e3) = e0 )
| ~ sP54_prd
| sP50_prd )
& ( ( ( ( e0 != unit
& op(e2,e0) = e3 )
| op(e2,e3) != e0 )
& sP54_prd )
| ~ sP50_prd ) ),
inference(NNF_transformation,[status(thm)],[f1025]) ).
fof(f1027,plain,
( sP54_prd
| ~ sP50_prd ),
inference(cnf_transformation,[status(thm)],[f1026]) ).
fof(f1028,plain,
( op(e2,e0) = e3
| op(e2,e3) != e0
| ~ sP50_prd ),
inference(cnf_transformation,[status(thm)],[f1026]) ).
fof(f1029,plain,
( e0 != unit
| op(e2,e3) != e0
| ~ sP50_prd ),
inference(cnf_transformation,[status(thm)],[f1026]) ).
fof(f1030,plain,
( op(e2,e3) = e0
| ~ sP54_prd
| sP50_prd ),
inference(cnf_transformation,[status(thm)],[f1026]) ).
fof(f1032,definition,
( sP55_prd
<=> ( ( ( e1 != unit
& op(e2,e1) = e1 )
| op(e2,e1) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e0 )
| op(e2,e0) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e4 )
| op(e1,e4) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e3 )
| op(e1,e3) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e2 )
| op(e1,e2) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e1 )
| op(e1,e1) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e0 )
| op(e1,e0) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e4 )
| op(e0,e4) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e3 )
| op(e0,e3) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e2 )
| op(e0,e2) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e1 )
| op(e0,e1) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP55_prd])],[]) ).
fof(f1033,plain,
( sP51_prd
<=> ( ( ( e1 != unit
& op(e2,e1) = e2 )
| op(e2,e2) != e1 )
& sP55_prd ) ),
inference(formula_renaming,[status(thm)],[f1000,f1032]) ).
fof(f1034,plain,
( ( ( ( e1 = unit
| op(e2,e1) != e2 )
& op(e2,e2) = e1 )
| ~ sP55_prd
| sP51_prd )
& ( ( ( ( e1 != unit
& op(e2,e1) = e2 )
| op(e2,e2) != e1 )
& sP55_prd )
| ~ sP51_prd ) ),
inference(NNF_transformation,[status(thm)],[f1033]) ).
fof(f1035,plain,
( sP55_prd
| ~ sP51_prd ),
inference(cnf_transformation,[status(thm)],[f1034]) ).
fof(f1036,plain,
( op(e2,e1) = e2
| op(e2,e2) != e1
| ~ sP51_prd ),
inference(cnf_transformation,[status(thm)],[f1034]) ).
fof(f1038,plain,
( op(e2,e2) = e1
| ~ sP55_prd
| sP51_prd ),
inference(cnf_transformation,[status(thm)],[f1034]) ).
fof(f1039,plain,
( e1 = unit
| op(e2,e1) != e2
| ~ sP55_prd
| sP51_prd ),
inference(cnf_transformation,[status(thm)],[f1034]) ).
fof(f1040,definition,
( sP56_prd
<=> ( ( ( e2 != unit
& op(e2,e2) = e0 )
| op(e2,e0) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e4 )
| op(e1,e4) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e3 )
| op(e1,e3) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e2 )
| op(e1,e2) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e1 )
| op(e1,e1) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e0 )
| op(e1,e0) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e4 )
| op(e0,e4) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e3 )
| op(e0,e3) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e2 )
| op(e0,e2) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e1 )
| op(e0,e1) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e0 )
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP56_prd])],[]) ).
fof(f1041,plain,
( sP52_prd
<=> ( ( ( e2 != unit
& op(e2,e2) = e1 )
| op(e2,e1) != e2 )
& sP56_prd ) ),
inference(formula_renaming,[status(thm)],[f1008,f1040]) ).
fof(f1042,plain,
( ( ( ( e2 = unit
| op(e2,e2) != e1 )
& op(e2,e1) = e2 )
| ~ sP56_prd
| sP52_prd )
& ( ( ( ( e2 != unit
& op(e2,e2) = e1 )
| op(e2,e1) != e2 )
& sP56_prd )
| ~ sP52_prd ) ),
inference(NNF_transformation,[status(thm)],[f1041]) ).
fof(f1043,plain,
( sP56_prd
| ~ sP52_prd ),
inference(cnf_transformation,[status(thm)],[f1042]) ).
fof(f1044,plain,
( op(e2,e2) = e1
| op(e2,e1) != e2
| ~ sP52_prd ),
inference(cnf_transformation,[status(thm)],[f1042]) ).
fof(f1048,definition,
( sP57_prd
<=> ( ( ( e3 != unit
& op(e1,e3) = e4 )
| op(e1,e4) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e3 )
| op(e1,e3) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e2 )
| op(e1,e2) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e1 )
| op(e1,e1) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e0 )
| op(e1,e0) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e4 )
| op(e0,e4) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e3 )
| op(e0,e3) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e2 )
| op(e0,e2) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e1 )
| op(e0,e1) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e0 )
| op(e0,e0) != e3 ) ) ),
introduced(definition,[new_symbols(definition,[sP57_prd])],[]) ).
fof(f1049,plain,
( sP53_prd
<=> ( ( ( e3 != unit
& op(e2,e3) = e0 )
| op(e2,e0) != e3 )
& sP57_prd ) ),
inference(formula_renaming,[status(thm)],[f1016,f1048]) ).
fof(f1050,plain,
( ( ( ( e3 = unit
| op(e2,e3) != e0 )
& op(e2,e0) = e3 )
| ~ sP57_prd
| sP53_prd )
& ( ( ( ( e3 != unit
& op(e2,e3) = e0 )
| op(e2,e0) != e3 )
& sP57_prd )
| ~ sP53_prd ) ),
inference(NNF_transformation,[status(thm)],[f1049]) ).
fof(f1051,plain,
( sP57_prd
| ~ sP53_prd ),
inference(cnf_transformation,[status(thm)],[f1050]) ).
fof(f1052,plain,
( op(e2,e3) = e0
| op(e2,e0) != e3
| ~ sP53_prd ),
inference(cnf_transformation,[status(thm)],[f1050]) ).
fof(f1054,plain,
( op(e2,e0) = e3
| ~ sP57_prd
| sP53_prd ),
inference(cnf_transformation,[status(thm)],[f1050]) ).
fof(f1056,definition,
( sP58_prd
<=> ( ( ( e0 != unit
& op(e2,e0) = e1 )
| op(e2,e1) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e0 )
| op(e2,e0) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e4 )
| op(e1,e4) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e3 )
| op(e1,e3) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e2 )
| op(e1,e2) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e1 )
| op(e1,e1) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e0 )
| op(e1,e0) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| op(e0,e4) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e3 )
| op(e0,e3) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| op(e0,e2) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| op(e0,e1) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP58_prd])],[]) ).
fof(f1057,plain,
( sP54_prd
<=> ( ( ( e0 != unit
& op(e2,e0) = e2 )
| op(e2,e2) != e0 )
& sP58_prd ) ),
inference(formula_renaming,[status(thm)],[f1024,f1056]) ).
fof(f1058,plain,
( ( ( ( e0 = unit
| op(e2,e0) != e2 )
& op(e2,e2) = e0 )
| ~ sP58_prd
| sP54_prd )
& ( ( ( ( e0 != unit
& op(e2,e0) = e2 )
| op(e2,e2) != e0 )
& sP58_prd )
| ~ sP54_prd ) ),
inference(NNF_transformation,[status(thm)],[f1057]) ).
fof(f1059,plain,
( sP58_prd
| ~ sP54_prd ),
inference(cnf_transformation,[status(thm)],[f1058]) ).
fof(f1060,plain,
( op(e2,e0) = e2
| op(e2,e2) != e0
| ~ sP54_prd ),
inference(cnf_transformation,[status(thm)],[f1058]) ).
fof(f1061,plain,
( e0 != unit
| op(e2,e2) != e0
| ~ sP54_prd ),
inference(cnf_transformation,[status(thm)],[f1058]) ).
fof(f1062,plain,
( op(e2,e2) = e0
| ~ sP58_prd
| sP54_prd ),
inference(cnf_transformation,[status(thm)],[f1058]) ).
fof(f1064,definition,
( sP59_prd
<=> ( ( ( e1 != unit
& op(e2,e1) = e0 )
| op(e2,e0) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e4 )
| op(e1,e4) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e3 )
| op(e1,e3) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e2 )
| op(e1,e2) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e1 )
| op(e1,e1) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e0 )
| op(e1,e0) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e4 )
| op(e0,e4) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e3 )
| op(e0,e3) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e2 )
| op(e0,e2) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e1 )
| op(e0,e1) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP59_prd])],[]) ).
fof(f1065,plain,
( sP55_prd
<=> ( ( ( e1 != unit
& op(e2,e1) = e1 )
| op(e2,e1) != e1 )
& sP59_prd ) ),
inference(formula_renaming,[status(thm)],[f1032,f1064]) ).
fof(f1066,plain,
( ( ( ( e1 = unit
| op(e2,e1) != e1 )
& op(e2,e1) = e1 )
| ~ sP59_prd
| sP55_prd )
& ( ( ( ( e1 != unit
& op(e2,e1) = e1 )
| op(e2,e1) != e1 )
& sP59_prd )
| ~ sP55_prd ) ),
inference(NNF_transformation,[status(thm)],[f1065]) ).
fof(f1067,plain,
( sP59_prd
| ~ sP55_prd ),
inference(cnf_transformation,[status(thm)],[f1066]) ).
fof(f1069,plain,
( e1 != unit
| op(e2,e1) != e1
| ~ sP55_prd ),
inference(cnf_transformation,[status(thm)],[f1066]) ).
fof(f1070,plain,
( op(e2,e1) = e1
| ~ sP59_prd
| sP55_prd ),
inference(cnf_transformation,[status(thm)],[f1066]) ).
fof(f1072,definition,
( sP60_prd
<=> ( ( ( e2 != unit
& op(e1,e2) = e4 )
| op(e1,e4) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e3 )
| op(e1,e3) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e2 )
| op(e1,e2) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e1 )
| op(e1,e1) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e0 )
| op(e1,e0) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e4 )
| op(e0,e4) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e3 )
| op(e0,e3) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e2 )
| op(e0,e2) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e1 )
| op(e0,e1) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e0 )
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP60_prd])],[]) ).
fof(f1073,plain,
( sP56_prd
<=> ( ( ( e2 != unit
& op(e2,e2) = e0 )
| op(e2,e0) != e2 )
& sP60_prd ) ),
inference(formula_renaming,[status(thm)],[f1040,f1072]) ).
fof(f1074,plain,
( ( ( ( e2 = unit
| op(e2,e2) != e0 )
& op(e2,e0) = e2 )
| ~ sP60_prd
| sP56_prd )
& ( ( ( ( e2 != unit
& op(e2,e2) = e0 )
| op(e2,e0) != e2 )
& sP60_prd )
| ~ sP56_prd ) ),
inference(NNF_transformation,[status(thm)],[f1073]) ).
fof(f1075,plain,
( sP60_prd
| ~ sP56_prd ),
inference(cnf_transformation,[status(thm)],[f1074]) ).
fof(f1076,plain,
( op(e2,e2) = e0
| op(e2,e0) != e2
| ~ sP56_prd ),
inference(cnf_transformation,[status(thm)],[f1074]) ).
fof(f1077,plain,
( e2 != unit
| op(e2,e0) != e2
| ~ sP56_prd ),
inference(cnf_transformation,[status(thm)],[f1074]) ).
fof(f1078,plain,
( op(e2,e0) = e2
| ~ sP60_prd
| sP56_prd ),
inference(cnf_transformation,[status(thm)],[f1074]) ).
fof(f1080,definition,
( sP61_prd
<=> ( ( ( e3 != unit
& op(e1,e3) = e3 )
| op(e1,e3) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e2 )
| op(e1,e2) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e1 )
| op(e1,e1) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e0 )
| op(e1,e0) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e4 )
| op(e0,e4) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e3 )
| op(e0,e3) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e2 )
| op(e0,e2) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e1 )
| op(e0,e1) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e0 )
| op(e0,e0) != e3 ) ) ),
introduced(definition,[new_symbols(definition,[sP61_prd])],[]) ).
fof(f1081,plain,
( sP57_prd
<=> ( ( ( e3 != unit
& op(e1,e3) = e4 )
| op(e1,e4) != e3 )
& sP61_prd ) ),
inference(formula_renaming,[status(thm)],[f1048,f1080]) ).
fof(f1082,plain,
( ( ( ( e3 = unit
| op(e1,e3) != e4 )
& op(e1,e4) = e3 )
| ~ sP61_prd
| sP57_prd )
& ( ( ( ( e3 != unit
& op(e1,e3) = e4 )
| op(e1,e4) != e3 )
& sP61_prd )
| ~ sP57_prd ) ),
inference(NNF_transformation,[status(thm)],[f1081]) ).
fof(f1083,plain,
( sP61_prd
| ~ sP57_prd ),
inference(cnf_transformation,[status(thm)],[f1082]) ).
fof(f1084,plain,
( op(e1,e3) = e4
| op(e1,e4) != e3
| ~ sP57_prd ),
inference(cnf_transformation,[status(thm)],[f1082]) ).
fof(f1086,plain,
( op(e1,e4) = e3
| ~ sP61_prd
| sP57_prd ),
inference(cnf_transformation,[status(thm)],[f1082]) ).
fof(f1088,definition,
( sP62_prd
<=> ( ( ( e0 != unit
& op(e2,e0) = e0 )
| op(e2,e0) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e4 )
| op(e1,e4) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e3 )
| op(e1,e3) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e2 )
| op(e1,e2) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e1 )
| op(e1,e1) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e0 )
| op(e1,e0) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| op(e0,e4) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e3 )
| op(e0,e3) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| op(e0,e2) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| op(e0,e1) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP62_prd])],[]) ).
fof(f1089,plain,
( sP58_prd
<=> ( ( ( e0 != unit
& op(e2,e0) = e1 )
| op(e2,e1) != e0 )
& sP62_prd ) ),
inference(formula_renaming,[status(thm)],[f1056,f1088]) ).
fof(f1090,plain,
( ( ( ( e0 = unit
| op(e2,e0) != e1 )
& op(e2,e1) = e0 )
| ~ sP62_prd
| sP58_prd )
& ( ( ( ( e0 != unit
& op(e2,e0) = e1 )
| op(e2,e1) != e0 )
& sP62_prd )
| ~ sP58_prd ) ),
inference(NNF_transformation,[status(thm)],[f1089]) ).
fof(f1091,plain,
( sP62_prd
| ~ sP58_prd ),
inference(cnf_transformation,[status(thm)],[f1090]) ).
fof(f1092,plain,
( op(e2,e0) = e1
| op(e2,e1) != e0
| ~ sP58_prd ),
inference(cnf_transformation,[status(thm)],[f1090]) ).
fof(f1093,plain,
( e0 != unit
| op(e2,e1) != e0
| ~ sP58_prd ),
inference(cnf_transformation,[status(thm)],[f1090]) ).
fof(f1094,plain,
( op(e2,e1) = e0
| ~ sP62_prd
| sP58_prd ),
inference(cnf_transformation,[status(thm)],[f1090]) ).
fof(f1095,plain,
( e0 = unit
| op(e2,e0) != e1
| ~ sP62_prd
| sP58_prd ),
inference(cnf_transformation,[status(thm)],[f1090]) ).
fof(f1096,definition,
( sP63_prd
<=> ( ( ( e1 != unit
& op(e1,e1) = e4 )
| op(e1,e4) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e3 )
| op(e1,e3) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e2 )
| op(e1,e2) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e1 )
| op(e1,e1) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e0 )
| op(e1,e0) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e4 )
| op(e0,e4) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e3 )
| op(e0,e3) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e2 )
| op(e0,e2) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e1 )
| op(e0,e1) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP63_prd])],[]) ).
fof(f1097,plain,
( sP59_prd
<=> ( ( ( e1 != unit
& op(e2,e1) = e0 )
| op(e2,e0) != e1 )
& sP63_prd ) ),
inference(formula_renaming,[status(thm)],[f1064,f1096]) ).
fof(f1098,plain,
( ( ( ( e1 = unit
| op(e2,e1) != e0 )
& op(e2,e0) = e1 )
| ~ sP63_prd
| sP59_prd )
& ( ( ( ( e1 != unit
& op(e2,e1) = e0 )
| op(e2,e0) != e1 )
& sP63_prd )
| ~ sP59_prd ) ),
inference(NNF_transformation,[status(thm)],[f1097]) ).
fof(f1099,plain,
( sP63_prd
| ~ sP59_prd ),
inference(cnf_transformation,[status(thm)],[f1098]) ).
fof(f1100,plain,
( op(e2,e1) = e0
| op(e2,e0) != e1
| ~ sP59_prd ),
inference(cnf_transformation,[status(thm)],[f1098]) ).
fof(f1102,plain,
( op(e2,e0) = e1
| ~ sP63_prd
| sP59_prd ),
inference(cnf_transformation,[status(thm)],[f1098]) ).
fof(f1103,plain,
( e1 = unit
| op(e2,e1) != e0
| ~ sP63_prd
| sP59_prd ),
inference(cnf_transformation,[status(thm)],[f1098]) ).
fof(f1104,definition,
( sP64_prd
<=> ( ( ( e2 != unit
& op(e1,e2) = e3 )
| op(e1,e3) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e2 )
| op(e1,e2) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e1 )
| op(e1,e1) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e0 )
| op(e1,e0) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e4 )
| op(e0,e4) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e3 )
| op(e0,e3) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e2 )
| op(e0,e2) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e1 )
| op(e0,e1) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e0 )
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP64_prd])],[]) ).
fof(f1105,plain,
( sP60_prd
<=> ( ( ( e2 != unit
& op(e1,e2) = e4 )
| op(e1,e4) != e2 )
& sP64_prd ) ),
inference(formula_renaming,[status(thm)],[f1072,f1104]) ).
fof(f1106,plain,
( ( ( ( e2 = unit
| op(e1,e2) != e4 )
& op(e1,e4) = e2 )
| ~ sP64_prd
| sP60_prd )
& ( ( ( ( e2 != unit
& op(e1,e2) = e4 )
| op(e1,e4) != e2 )
& sP64_prd )
| ~ sP60_prd ) ),
inference(NNF_transformation,[status(thm)],[f1105]) ).
fof(f1107,plain,
( sP64_prd
| ~ sP60_prd ),
inference(cnf_transformation,[status(thm)],[f1106]) ).
fof(f1108,plain,
( op(e1,e2) = e4
| op(e1,e4) != e2
| ~ sP60_prd ),
inference(cnf_transformation,[status(thm)],[f1106]) ).
fof(f1110,plain,
( op(e1,e4) = e2
| ~ sP64_prd
| sP60_prd ),
inference(cnf_transformation,[status(thm)],[f1106]) ).
fof(f1112,definition,
( sP65_prd
<=> ( ( ( e3 != unit
& op(e1,e3) = e2 )
| op(e1,e2) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e1 )
| op(e1,e1) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e0 )
| op(e1,e0) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e4 )
| op(e0,e4) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e3 )
| op(e0,e3) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e2 )
| op(e0,e2) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e1 )
| op(e0,e1) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e0 )
| op(e0,e0) != e3 ) ) ),
introduced(definition,[new_symbols(definition,[sP65_prd])],[]) ).
fof(f1113,plain,
( sP61_prd
<=> ( ( ( e3 != unit
& op(e1,e3) = e3 )
| op(e1,e3) != e3 )
& sP65_prd ) ),
inference(formula_renaming,[status(thm)],[f1080,f1112]) ).
fof(f1114,plain,
( ( ( ( e3 = unit
| op(e1,e3) != e3 )
& op(e1,e3) = e3 )
| ~ sP65_prd
| sP61_prd )
& ( ( ( ( e3 != unit
& op(e1,e3) = e3 )
| op(e1,e3) != e3 )
& sP65_prd )
| ~ sP61_prd ) ),
inference(NNF_transformation,[status(thm)],[f1113]) ).
fof(f1115,plain,
( sP65_prd
| ~ sP61_prd ),
inference(cnf_transformation,[status(thm)],[f1114]) ).
fof(f1117,plain,
( e3 != unit
| op(e1,e3) != e3
| ~ sP61_prd ),
inference(cnf_transformation,[status(thm)],[f1114]) ).
fof(f1118,plain,
( op(e1,e3) = e3
| ~ sP65_prd
| sP61_prd ),
inference(cnf_transformation,[status(thm)],[f1114]) ).
fof(f1120,definition,
( sP66_prd
<=> ( ( ( e0 != unit
& op(e1,e0) = e4 )
| op(e1,e4) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e3 )
| op(e1,e3) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e2 )
| op(e1,e2) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e1 )
| op(e1,e1) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e0 )
| op(e1,e0) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| op(e0,e4) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e3 )
| op(e0,e3) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| op(e0,e2) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| op(e0,e1) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP66_prd])],[]) ).
fof(f1121,plain,
( sP62_prd
<=> ( ( ( e0 != unit
& op(e2,e0) = e0 )
| op(e2,e0) != e0 )
& sP66_prd ) ),
inference(formula_renaming,[status(thm)],[f1088,f1120]) ).
fof(f1122,plain,
( ( ( ( e0 = unit
| op(e2,e0) != e0 )
& op(e2,e0) = e0 )
| ~ sP66_prd
| sP62_prd )
& ( ( ( ( e0 != unit
& op(e2,e0) = e0 )
| op(e2,e0) != e0 )
& sP66_prd )
| ~ sP62_prd ) ),
inference(NNF_transformation,[status(thm)],[f1121]) ).
fof(f1123,plain,
( sP66_prd
| ~ sP62_prd ),
inference(cnf_transformation,[status(thm)],[f1122]) ).
fof(f1125,plain,
( e0 != unit
| op(e2,e0) != e0
| ~ sP62_prd ),
inference(cnf_transformation,[status(thm)],[f1122]) ).
fof(f1126,plain,
( op(e2,e0) = e0
| ~ sP66_prd
| sP62_prd ),
inference(cnf_transformation,[status(thm)],[f1122]) ).
fof(f1127,plain,
( e0 = unit
| op(e2,e0) != e0
| ~ sP66_prd
| sP62_prd ),
inference(cnf_transformation,[status(thm)],[f1122]) ).
fof(f1128,definition,
( sP67_prd
<=> ( ( ( e1 != unit
& op(e1,e1) = e3 )
| op(e1,e3) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e2 )
| op(e1,e2) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e1 )
| op(e1,e1) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e0 )
| op(e1,e0) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e4 )
| op(e0,e4) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e3 )
| op(e0,e3) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e2 )
| op(e0,e2) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e1 )
| op(e0,e1) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP67_prd])],[]) ).
fof(f1129,plain,
( sP63_prd
<=> ( ( ( e1 != unit
& op(e1,e1) = e4 )
| op(e1,e4) != e1 )
& sP67_prd ) ),
inference(formula_renaming,[status(thm)],[f1096,f1128]) ).
fof(f1130,plain,
( ( ( ( e1 = unit
| op(e1,e1) != e4 )
& op(e1,e4) = e1 )
| ~ sP67_prd
| sP63_prd )
& ( ( ( ( e1 != unit
& op(e1,e1) = e4 )
| op(e1,e4) != e1 )
& sP67_prd )
| ~ sP63_prd ) ),
inference(NNF_transformation,[status(thm)],[f1129]) ).
fof(f1131,plain,
( sP67_prd
| ~ sP63_prd ),
inference(cnf_transformation,[status(thm)],[f1130]) ).
fof(f1132,plain,
( op(e1,e1) = e4
| op(e1,e4) != e1
| ~ sP63_prd ),
inference(cnf_transformation,[status(thm)],[f1130]) ).
fof(f1133,plain,
( e1 != unit
| op(e1,e4) != e1
| ~ sP63_prd ),
inference(cnf_transformation,[status(thm)],[f1130]) ).
fof(f1134,plain,
( op(e1,e4) = e1
| ~ sP67_prd
| sP63_prd ),
inference(cnf_transformation,[status(thm)],[f1130]) ).
fof(f1135,plain,
( e1 = unit
| op(e1,e1) != e4
| ~ sP67_prd
| sP63_prd ),
inference(cnf_transformation,[status(thm)],[f1130]) ).
fof(f1136,definition,
( sP68_prd
<=> ( ( ( e2 != unit
& op(e1,e2) = e2 )
| op(e1,e2) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e1 )
| op(e1,e1) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e0 )
| op(e1,e0) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e4 )
| op(e0,e4) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e3 )
| op(e0,e3) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e2 )
| op(e0,e2) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e1 )
| op(e0,e1) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e0 )
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP68_prd])],[]) ).
fof(f1137,plain,
( sP64_prd
<=> ( ( ( e2 != unit
& op(e1,e2) = e3 )
| op(e1,e3) != e2 )
& sP68_prd ) ),
inference(formula_renaming,[status(thm)],[f1104,f1136]) ).
fof(f1138,plain,
( ( ( ( e2 = unit
| op(e1,e2) != e3 )
& op(e1,e3) = e2 )
| ~ sP68_prd
| sP64_prd )
& ( ( ( ( e2 != unit
& op(e1,e2) = e3 )
| op(e1,e3) != e2 )
& sP68_prd )
| ~ sP64_prd ) ),
inference(NNF_transformation,[status(thm)],[f1137]) ).
fof(f1139,plain,
( sP68_prd
| ~ sP64_prd ),
inference(cnf_transformation,[status(thm)],[f1138]) ).
fof(f1140,plain,
( op(e1,e2) = e3
| op(e1,e3) != e2
| ~ sP64_prd ),
inference(cnf_transformation,[status(thm)],[f1138]) ).
fof(f1142,plain,
( op(e1,e3) = e2
| ~ sP68_prd
| sP64_prd ),
inference(cnf_transformation,[status(thm)],[f1138]) ).
fof(f1144,definition,
( sP69_prd
<=> ( ( ( e3 != unit
& op(e1,e3) = e1 )
| op(e1,e1) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e0 )
| op(e1,e0) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e4 )
| op(e0,e4) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e3 )
| op(e0,e3) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e2 )
| op(e0,e2) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e1 )
| op(e0,e1) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e0 )
| op(e0,e0) != e3 ) ) ),
introduced(definition,[new_symbols(definition,[sP69_prd])],[]) ).
fof(f1145,plain,
( sP65_prd
<=> ( ( ( e3 != unit
& op(e1,e3) = e2 )
| op(e1,e2) != e3 )
& sP69_prd ) ),
inference(formula_renaming,[status(thm)],[f1112,f1144]) ).
fof(f1146,plain,
( ( ( ( e3 = unit
| op(e1,e3) != e2 )
& op(e1,e2) = e3 )
| ~ sP69_prd
| sP65_prd )
& ( ( ( ( e3 != unit
& op(e1,e3) = e2 )
| op(e1,e2) != e3 )
& sP69_prd )
| ~ sP65_prd ) ),
inference(NNF_transformation,[status(thm)],[f1145]) ).
fof(f1147,plain,
( sP69_prd
| ~ sP65_prd ),
inference(cnf_transformation,[status(thm)],[f1146]) ).
fof(f1148,plain,
( op(e1,e3) = e2
| op(e1,e2) != e3
| ~ sP65_prd ),
inference(cnf_transformation,[status(thm)],[f1146]) ).
fof(f1150,plain,
( op(e1,e2) = e3
| ~ sP69_prd
| sP65_prd ),
inference(cnf_transformation,[status(thm)],[f1146]) ).
fof(f1152,definition,
( sP70_prd
<=> ( ( ( e0 != unit
& op(e1,e0) = e3 )
| op(e1,e3) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e2 )
| op(e1,e2) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e1 )
| op(e1,e1) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e0 )
| op(e1,e0) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| op(e0,e4) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e3 )
| op(e0,e3) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| op(e0,e2) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| op(e0,e1) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP70_prd])],[]) ).
fof(f1153,plain,
( sP66_prd
<=> ( ( ( e0 != unit
& op(e1,e0) = e4 )
| op(e1,e4) != e0 )
& sP70_prd ) ),
inference(formula_renaming,[status(thm)],[f1120,f1152]) ).
fof(f1154,plain,
( ( ( ( e0 = unit
| op(e1,e0) != e4 )
& op(e1,e4) = e0 )
| ~ sP70_prd
| sP66_prd )
& ( ( ( ( e0 != unit
& op(e1,e0) = e4 )
| op(e1,e4) != e0 )
& sP70_prd )
| ~ sP66_prd ) ),
inference(NNF_transformation,[status(thm)],[f1153]) ).
fof(f1155,plain,
( sP70_prd
| ~ sP66_prd ),
inference(cnf_transformation,[status(thm)],[f1154]) ).
fof(f1156,plain,
( op(e1,e0) = e4
| op(e1,e4) != e0
| ~ sP66_prd ),
inference(cnf_transformation,[status(thm)],[f1154]) ).
fof(f1157,plain,
( e0 != unit
| op(e1,e4) != e0
| ~ sP66_prd ),
inference(cnf_transformation,[status(thm)],[f1154]) ).
fof(f1158,plain,
( op(e1,e4) = e0
| ~ sP70_prd
| sP66_prd ),
inference(cnf_transformation,[status(thm)],[f1154]) ).
fof(f1159,plain,
( e0 = unit
| op(e1,e0) != e4
| ~ sP70_prd
| sP66_prd ),
inference(cnf_transformation,[status(thm)],[f1154]) ).
fof(f1160,definition,
( sP71_prd
<=> ( ( ( e1 != unit
& op(e1,e1) = e2 )
| op(e1,e2) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e1 )
| op(e1,e1) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e0 )
| op(e1,e0) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e4 )
| op(e0,e4) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e3 )
| op(e0,e3) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e2 )
| op(e0,e2) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e1 )
| op(e0,e1) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP71_prd])],[]) ).
fof(f1161,plain,
( sP67_prd
<=> ( ( ( e1 != unit
& op(e1,e1) = e3 )
| op(e1,e3) != e1 )
& sP71_prd ) ),
inference(formula_renaming,[status(thm)],[f1128,f1160]) ).
fof(f1162,plain,
( ( ( ( e1 = unit
| op(e1,e1) != e3 )
& op(e1,e3) = e1 )
| ~ sP71_prd
| sP67_prd )
& ( ( ( ( e1 != unit
& op(e1,e1) = e3 )
| op(e1,e3) != e1 )
& sP71_prd )
| ~ sP67_prd ) ),
inference(NNF_transformation,[status(thm)],[f1161]) ).
fof(f1163,plain,
( sP71_prd
| ~ sP67_prd ),
inference(cnf_transformation,[status(thm)],[f1162]) ).
fof(f1164,plain,
( op(e1,e1) = e3
| op(e1,e3) != e1
| ~ sP67_prd ),
inference(cnf_transformation,[status(thm)],[f1162]) ).
fof(f1165,plain,
( e1 != unit
| op(e1,e3) != e1
| ~ sP67_prd ),
inference(cnf_transformation,[status(thm)],[f1162]) ).
fof(f1166,plain,
( op(e1,e3) = e1
| ~ sP71_prd
| sP67_prd ),
inference(cnf_transformation,[status(thm)],[f1162]) ).
fof(f1168,definition,
( sP72_prd
<=> ( ( ( e2 != unit
& op(e1,e2) = e1 )
| op(e1,e1) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e0 )
| op(e1,e0) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e4 )
| op(e0,e4) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e3 )
| op(e0,e3) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e2 )
| op(e0,e2) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e1 )
| op(e0,e1) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e0 )
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP72_prd])],[]) ).
fof(f1169,plain,
( sP68_prd
<=> ( ( ( e2 != unit
& op(e1,e2) = e2 )
| op(e1,e2) != e2 )
& sP72_prd ) ),
inference(formula_renaming,[status(thm)],[f1136,f1168]) ).
fof(f1170,plain,
( ( ( ( e2 = unit
| op(e1,e2) != e2 )
& op(e1,e2) = e2 )
| ~ sP72_prd
| sP68_prd )
& ( ( ( ( e2 != unit
& op(e1,e2) = e2 )
| op(e1,e2) != e2 )
& sP72_prd )
| ~ sP68_prd ) ),
inference(NNF_transformation,[status(thm)],[f1169]) ).
fof(f1171,plain,
( sP72_prd
| ~ sP68_prd ),
inference(cnf_transformation,[status(thm)],[f1170]) ).
fof(f1174,plain,
( op(e1,e2) = e2
| ~ sP72_prd
| sP68_prd ),
inference(cnf_transformation,[status(thm)],[f1170]) ).
fof(f1175,plain,
( e2 = unit
| op(e1,e2) != e2
| ~ sP72_prd
| sP68_prd ),
inference(cnf_transformation,[status(thm)],[f1170]) ).
fof(f1176,definition,
( sP73_prd
<=> ( ( ( e3 != unit
& op(e1,e3) = e0 )
| op(e1,e0) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e4 )
| op(e0,e4) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e3 )
| op(e0,e3) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e2 )
| op(e0,e2) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e1 )
| op(e0,e1) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e0 )
| op(e0,e0) != e3 ) ) ),
introduced(definition,[new_symbols(definition,[sP73_prd])],[]) ).
fof(f1177,plain,
( sP69_prd
<=> ( ( ( e3 != unit
& op(e1,e3) = e1 )
| op(e1,e1) != e3 )
& sP73_prd ) ),
inference(formula_renaming,[status(thm)],[f1144,f1176]) ).
fof(f1178,plain,
( ( ( ( e3 = unit
| op(e1,e3) != e1 )
& op(e1,e1) = e3 )
| ~ sP73_prd
| sP69_prd )
& ( ( ( ( e3 != unit
& op(e1,e3) = e1 )
| op(e1,e1) != e3 )
& sP73_prd )
| ~ sP69_prd ) ),
inference(NNF_transformation,[status(thm)],[f1177]) ).
fof(f1179,plain,
( sP73_prd
| ~ sP69_prd ),
inference(cnf_transformation,[status(thm)],[f1178]) ).
fof(f1180,plain,
( op(e1,e3) = e1
| op(e1,e1) != e3
| ~ sP69_prd ),
inference(cnf_transformation,[status(thm)],[f1178]) ).
fof(f1182,plain,
( op(e1,e1) = e3
| ~ sP73_prd
| sP69_prd ),
inference(cnf_transformation,[status(thm)],[f1178]) ).
fof(f1184,definition,
( sP74_prd
<=> ( ( ( e0 != unit
& op(e1,e0) = e2 )
| op(e1,e2) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e1 )
| op(e1,e1) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e0 )
| op(e1,e0) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| op(e0,e4) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e3 )
| op(e0,e3) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| op(e0,e2) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| op(e0,e1) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP74_prd])],[]) ).
fof(f1185,plain,
( sP70_prd
<=> ( ( ( e0 != unit
& op(e1,e0) = e3 )
| op(e1,e3) != e0 )
& sP74_prd ) ),
inference(formula_renaming,[status(thm)],[f1152,f1184]) ).
fof(f1186,plain,
( ( ( ( e0 = unit
| op(e1,e0) != e3 )
& op(e1,e3) = e0 )
| ~ sP74_prd
| sP70_prd )
& ( ( ( ( e0 != unit
& op(e1,e0) = e3 )
| op(e1,e3) != e0 )
& sP74_prd )
| ~ sP70_prd ) ),
inference(NNF_transformation,[status(thm)],[f1185]) ).
fof(f1187,plain,
( sP74_prd
| ~ sP70_prd ),
inference(cnf_transformation,[status(thm)],[f1186]) ).
fof(f1188,plain,
( op(e1,e0) = e3
| op(e1,e3) != e0
| ~ sP70_prd ),
inference(cnf_transformation,[status(thm)],[f1186]) ).
fof(f1189,plain,
( e0 != unit
| op(e1,e3) != e0
| ~ sP70_prd ),
inference(cnf_transformation,[status(thm)],[f1186]) ).
fof(f1190,plain,
( op(e1,e3) = e0
| ~ sP74_prd
| sP70_prd ),
inference(cnf_transformation,[status(thm)],[f1186]) ).
fof(f1191,plain,
( e0 = unit
| op(e1,e0) != e3
| ~ sP74_prd
| sP70_prd ),
inference(cnf_transformation,[status(thm)],[f1186]) ).
fof(f1192,definition,
( sP75_prd
<=> ( ( ( e1 != unit
& op(e1,e1) = e1 )
| op(e1,e1) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e0 )
| op(e1,e0) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e4 )
| op(e0,e4) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e3 )
| op(e0,e3) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e2 )
| op(e0,e2) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e1 )
| op(e0,e1) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP75_prd])],[]) ).
fof(f1193,plain,
( sP71_prd
<=> ( ( ( e1 != unit
& op(e1,e1) = e2 )
| op(e1,e2) != e1 )
& sP75_prd ) ),
inference(formula_renaming,[status(thm)],[f1160,f1192]) ).
fof(f1194,plain,
( ( ( ( e1 = unit
| op(e1,e1) != e2 )
& op(e1,e2) = e1 )
| ~ sP75_prd
| sP71_prd )
& ( ( ( ( e1 != unit
& op(e1,e1) = e2 )
| op(e1,e2) != e1 )
& sP75_prd )
| ~ sP71_prd ) ),
inference(NNF_transformation,[status(thm)],[f1193]) ).
fof(f1195,plain,
( sP75_prd
| ~ sP71_prd ),
inference(cnf_transformation,[status(thm)],[f1194]) ).
fof(f1196,plain,
( op(e1,e1) = e2
| op(e1,e2) != e1
| ~ sP71_prd ),
inference(cnf_transformation,[status(thm)],[f1194]) ).
fof(f1197,plain,
( e1 != unit
| op(e1,e2) != e1
| ~ sP71_prd ),
inference(cnf_transformation,[status(thm)],[f1194]) ).
fof(f1198,plain,
( op(e1,e2) = e1
| ~ sP75_prd
| sP71_prd ),
inference(cnf_transformation,[status(thm)],[f1194]) ).
fof(f1200,definition,
( sP76_prd
<=> ( ( ( e2 != unit
& op(e1,e2) = e0 )
| op(e1,e0) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e4 )
| op(e0,e4) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e3 )
| op(e0,e3) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e2 )
| op(e0,e2) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e1 )
| op(e0,e1) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e0 )
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP76_prd])],[]) ).
fof(f1201,plain,
( sP72_prd
<=> ( ( ( e2 != unit
& op(e1,e2) = e1 )
| op(e1,e1) != e2 )
& sP76_prd ) ),
inference(formula_renaming,[status(thm)],[f1168,f1200]) ).
fof(f1202,plain,
( ( ( ( e2 = unit
| op(e1,e2) != e1 )
& op(e1,e1) = e2 )
| ~ sP76_prd
| sP72_prd )
& ( ( ( ( e2 != unit
& op(e1,e2) = e1 )
| op(e1,e1) != e2 )
& sP76_prd )
| ~ sP72_prd ) ),
inference(NNF_transformation,[status(thm)],[f1201]) ).
fof(f1203,plain,
( sP76_prd
| ~ sP72_prd ),
inference(cnf_transformation,[status(thm)],[f1202]) ).
fof(f1204,plain,
( op(e1,e2) = e1
| op(e1,e1) != e2
| ~ sP72_prd ),
inference(cnf_transformation,[status(thm)],[f1202]) ).
fof(f1205,plain,
( e2 != unit
| op(e1,e1) != e2
| ~ sP72_prd ),
inference(cnf_transformation,[status(thm)],[f1202]) ).
fof(f1206,plain,
( op(e1,e1) = e2
| ~ sP76_prd
| sP72_prd ),
inference(cnf_transformation,[status(thm)],[f1202]) ).
fof(f1208,definition,
( sP77_prd
<=> ( ( ( e3 != unit
& op(e0,e3) = e4 )
| op(e0,e4) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e3 )
| op(e0,e3) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e2 )
| op(e0,e2) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e1 )
| op(e0,e1) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e0 )
| op(e0,e0) != e3 ) ) ),
introduced(definition,[new_symbols(definition,[sP77_prd])],[]) ).
fof(f1209,plain,
( sP73_prd
<=> ( ( ( e3 != unit
& op(e1,e3) = e0 )
| op(e1,e0) != e3 )
& sP77_prd ) ),
inference(formula_renaming,[status(thm)],[f1176,f1208]) ).
fof(f1210,plain,
( ( ( ( e3 = unit
| op(e1,e3) != e0 )
& op(e1,e0) = e3 )
| ~ sP77_prd
| sP73_prd )
& ( ( ( ( e3 != unit
& op(e1,e3) = e0 )
| op(e1,e0) != e3 )
& sP77_prd )
| ~ sP73_prd ) ),
inference(NNF_transformation,[status(thm)],[f1209]) ).
fof(f1211,plain,
( sP77_prd
| ~ sP73_prd ),
inference(cnf_transformation,[status(thm)],[f1210]) ).
fof(f1212,plain,
( op(e1,e3) = e0
| op(e1,e0) != e3
| ~ sP73_prd ),
inference(cnf_transformation,[status(thm)],[f1210]) ).
fof(f1214,plain,
( op(e1,e0) = e3
| ~ sP77_prd
| sP73_prd ),
inference(cnf_transformation,[status(thm)],[f1210]) ).
fof(f1216,definition,
( sP78_prd
<=> ( ( ( e0 != unit
& op(e1,e0) = e1 )
| op(e1,e1) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e0 )
| op(e1,e0) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| op(e0,e4) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e3 )
| op(e0,e3) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| op(e0,e2) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| op(e0,e1) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP78_prd])],[]) ).
fof(f1217,plain,
( sP74_prd
<=> ( ( ( e0 != unit
& op(e1,e0) = e2 )
| op(e1,e2) != e0 )
& sP78_prd ) ),
inference(formula_renaming,[status(thm)],[f1184,f1216]) ).
fof(f1218,plain,
( ( ( ( e0 = unit
| op(e1,e0) != e2 )
& op(e1,e2) = e0 )
| ~ sP78_prd
| sP74_prd )
& ( ( ( ( e0 != unit
& op(e1,e0) = e2 )
| op(e1,e2) != e0 )
& sP78_prd )
| ~ sP74_prd ) ),
inference(NNF_transformation,[status(thm)],[f1217]) ).
fof(f1219,plain,
( sP78_prd
| ~ sP74_prd ),
inference(cnf_transformation,[status(thm)],[f1218]) ).
fof(f1220,plain,
( op(e1,e0) = e2
| op(e1,e2) != e0
| ~ sP74_prd ),
inference(cnf_transformation,[status(thm)],[f1218]) ).
fof(f1221,plain,
( e0 != unit
| op(e1,e2) != e0
| ~ sP74_prd ),
inference(cnf_transformation,[status(thm)],[f1218]) ).
fof(f1222,plain,
( op(e1,e2) = e0
| ~ sP78_prd
| sP74_prd ),
inference(cnf_transformation,[status(thm)],[f1218]) ).
fof(f1224,definition,
( sP79_prd
<=> ( ( ( e1 != unit
& op(e1,e1) = e0 )
| op(e1,e0) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e4 )
| op(e0,e4) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e3 )
| op(e0,e3) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e2 )
| op(e0,e2) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e1 )
| op(e0,e1) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP79_prd])],[]) ).
fof(f1225,plain,
( sP75_prd
<=> ( ( ( e1 != unit
& op(e1,e1) = e1 )
| op(e1,e1) != e1 )
& sP79_prd ) ),
inference(formula_renaming,[status(thm)],[f1192,f1224]) ).
fof(f1226,plain,
( ( ( ( e1 = unit
| op(e1,e1) != e1 )
& op(e1,e1) = e1 )
| ~ sP79_prd
| sP75_prd )
& ( ( ( ( e1 != unit
& op(e1,e1) = e1 )
| op(e1,e1) != e1 )
& sP79_prd )
| ~ sP75_prd ) ),
inference(NNF_transformation,[status(thm)],[f1225]) ).
fof(f1227,plain,
( sP79_prd
| ~ sP75_prd ),
inference(cnf_transformation,[status(thm)],[f1226]) ).
fof(f1229,plain,
( e1 != unit
| op(e1,e1) != e1
| ~ sP75_prd ),
inference(cnf_transformation,[status(thm)],[f1226]) ).
fof(f1230,plain,
( op(e1,e1) = e1
| ~ sP79_prd
| sP75_prd ),
inference(cnf_transformation,[status(thm)],[f1226]) ).
fof(f1232,definition,
( sP80_prd
<=> ( ( ( e2 != unit
& op(e0,e2) = e4 )
| op(e0,e4) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e3 )
| op(e0,e3) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e2 )
| op(e0,e2) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e1 )
| op(e0,e1) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e0 )
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP80_prd])],[]) ).
fof(f1233,plain,
( sP76_prd
<=> ( ( ( e2 != unit
& op(e1,e2) = e0 )
| op(e1,e0) != e2 )
& sP80_prd ) ),
inference(formula_renaming,[status(thm)],[f1200,f1232]) ).
fof(f1234,plain,
( ( ( ( e2 = unit
| op(e1,e2) != e0 )
& op(e1,e0) = e2 )
| ~ sP80_prd
| sP76_prd )
& ( ( ( ( e2 != unit
& op(e1,e2) = e0 )
| op(e1,e0) != e2 )
& sP80_prd )
| ~ sP76_prd ) ),
inference(NNF_transformation,[status(thm)],[f1233]) ).
fof(f1235,plain,
( sP80_prd
| ~ sP76_prd ),
inference(cnf_transformation,[status(thm)],[f1234]) ).
fof(f1236,plain,
( op(e1,e2) = e0
| op(e1,e0) != e2
| ~ sP76_prd ),
inference(cnf_transformation,[status(thm)],[f1234]) ).
fof(f1238,plain,
( op(e1,e0) = e2
| ~ sP80_prd
| sP76_prd ),
inference(cnf_transformation,[status(thm)],[f1234]) ).
fof(f1239,plain,
( e2 = unit
| op(e1,e2) != e0
| ~ sP80_prd
| sP76_prd ),
inference(cnf_transformation,[status(thm)],[f1234]) ).
fof(f1240,definition,
( sP81_prd
<=> ( ( ( e3 != unit
& op(e0,e3) = e3 )
| op(e0,e3) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e2 )
| op(e0,e2) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e1 )
| op(e0,e1) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e0 )
| op(e0,e0) != e3 ) ) ),
introduced(definition,[new_symbols(definition,[sP81_prd])],[]) ).
fof(f1241,plain,
( sP77_prd
<=> ( ( ( e3 != unit
& op(e0,e3) = e4 )
| op(e0,e4) != e3 )
& sP81_prd ) ),
inference(formula_renaming,[status(thm)],[f1208,f1240]) ).
fof(f1242,plain,
( ( ( ( e3 = unit
| op(e0,e3) != e4 )
& op(e0,e4) = e3 )
| ~ sP81_prd
| sP77_prd )
& ( ( ( ( e3 != unit
& op(e0,e3) = e4 )
| op(e0,e4) != e3 )
& sP81_prd )
| ~ sP77_prd ) ),
inference(NNF_transformation,[status(thm)],[f1241]) ).
fof(f1243,plain,
( sP81_prd
| ~ sP77_prd ),
inference(cnf_transformation,[status(thm)],[f1242]) ).
fof(f1244,plain,
( op(e0,e3) = e4
| op(e0,e4) != e3
| ~ sP77_prd ),
inference(cnf_transformation,[status(thm)],[f1242]) ).
fof(f1246,plain,
( op(e0,e4) = e3
| ~ sP81_prd
| sP77_prd ),
inference(cnf_transformation,[status(thm)],[f1242]) ).
fof(f1247,plain,
( e3 = unit
| op(e0,e3) != e4
| ~ sP81_prd
| sP77_prd ),
inference(cnf_transformation,[status(thm)],[f1242]) ).
fof(f1248,definition,
( sP82_prd
<=> ( ( ( e0 != unit
& op(e1,e0) = e0 )
| op(e1,e0) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| op(e0,e4) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e3 )
| op(e0,e3) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| op(e0,e2) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| op(e0,e1) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP82_prd])],[]) ).
fof(f1249,plain,
( sP78_prd
<=> ( ( ( e0 != unit
& op(e1,e0) = e1 )
| op(e1,e1) != e0 )
& sP82_prd ) ),
inference(formula_renaming,[status(thm)],[f1216,f1248]) ).
fof(f1250,plain,
( ( ( ( e0 = unit
| op(e1,e0) != e1 )
& op(e1,e1) = e0 )
| ~ sP82_prd
| sP78_prd )
& ( ( ( ( e0 != unit
& op(e1,e0) = e1 )
| op(e1,e1) != e0 )
& sP82_prd )
| ~ sP78_prd ) ),
inference(NNF_transformation,[status(thm)],[f1249]) ).
fof(f1251,plain,
( sP82_prd
| ~ sP78_prd ),
inference(cnf_transformation,[status(thm)],[f1250]) ).
fof(f1252,plain,
( op(e1,e0) = e1
| op(e1,e1) != e0
| ~ sP78_prd ),
inference(cnf_transformation,[status(thm)],[f1250]) ).
fof(f1253,plain,
( e0 != unit
| op(e1,e1) != e0
| ~ sP78_prd ),
inference(cnf_transformation,[status(thm)],[f1250]) ).
fof(f1254,plain,
( op(e1,e1) = e0
| ~ sP82_prd
| sP78_prd ),
inference(cnf_transformation,[status(thm)],[f1250]) ).
fof(f1256,definition,
( sP83_prd
<=> ( ( ( e1 != unit
& op(e0,e1) = e4 )
| op(e0,e4) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e3 )
| op(e0,e3) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e2 )
| op(e0,e2) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e1 )
| op(e0,e1) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP83_prd])],[]) ).
fof(f1257,plain,
( sP79_prd
<=> ( ( ( e1 != unit
& op(e1,e1) = e0 )
| op(e1,e0) != e1 )
& sP83_prd ) ),
inference(formula_renaming,[status(thm)],[f1224,f1256]) ).
fof(f1258,plain,
( ( ( ( e1 = unit
| op(e1,e1) != e0 )
& op(e1,e0) = e1 )
| ~ sP83_prd
| sP79_prd )
& ( ( ( ( e1 != unit
& op(e1,e1) = e0 )
| op(e1,e0) != e1 )
& sP83_prd )
| ~ sP79_prd ) ),
inference(NNF_transformation,[status(thm)],[f1257]) ).
fof(f1259,plain,
( sP83_prd
| ~ sP79_prd ),
inference(cnf_transformation,[status(thm)],[f1258]) ).
fof(f1260,plain,
( op(e1,e1) = e0
| op(e1,e0) != e1
| ~ sP79_prd ),
inference(cnf_transformation,[status(thm)],[f1258]) ).
fof(f1262,plain,
( op(e1,e0) = e1
| ~ sP83_prd
| sP79_prd ),
inference(cnf_transformation,[status(thm)],[f1258]) ).
fof(f1263,plain,
( e1 = unit
| op(e1,e1) != e0
| ~ sP83_prd
| sP79_prd ),
inference(cnf_transformation,[status(thm)],[f1258]) ).
fof(f1264,definition,
( sP84_prd
<=> ( ( ( e2 != unit
& op(e0,e2) = e3 )
| op(e0,e3) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e2 )
| op(e0,e2) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e1 )
| op(e0,e1) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e0 )
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP84_prd])],[]) ).
fof(f1265,plain,
( sP80_prd
<=> ( ( ( e2 != unit
& op(e0,e2) = e4 )
| op(e0,e4) != e2 )
& sP84_prd ) ),
inference(formula_renaming,[status(thm)],[f1232,f1264]) ).
fof(f1266,plain,
( ( ( ( e2 = unit
| op(e0,e2) != e4 )
& op(e0,e4) = e2 )
| ~ sP84_prd
| sP80_prd )
& ( ( ( ( e2 != unit
& op(e0,e2) = e4 )
| op(e0,e4) != e2 )
& sP84_prd )
| ~ sP80_prd ) ),
inference(NNF_transformation,[status(thm)],[f1265]) ).
fof(f1267,plain,
( sP84_prd
| ~ sP80_prd ),
inference(cnf_transformation,[status(thm)],[f1266]) ).
fof(f1268,plain,
( op(e0,e2) = e4
| op(e0,e4) != e2
| ~ sP80_prd ),
inference(cnf_transformation,[status(thm)],[f1266]) ).
fof(f1270,plain,
( op(e0,e4) = e2
| ~ sP84_prd
| sP80_prd ),
inference(cnf_transformation,[status(thm)],[f1266]) ).
fof(f1271,plain,
( e2 = unit
| op(e0,e2) != e4
| ~ sP84_prd
| sP80_prd ),
inference(cnf_transformation,[status(thm)],[f1266]) ).
fof(f1272,definition,
( sP85_prd
<=> ( ( ( e3 != unit
& op(e0,e3) = e2 )
| op(e0,e2) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e1 )
| op(e0,e1) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e0 )
| op(e0,e0) != e3 ) ) ),
introduced(definition,[new_symbols(definition,[sP85_prd])],[]) ).
fof(f1273,plain,
( sP81_prd
<=> ( ( ( e3 != unit
& op(e0,e3) = e3 )
| op(e0,e3) != e3 )
& sP85_prd ) ),
inference(formula_renaming,[status(thm)],[f1240,f1272]) ).
fof(f1274,plain,
( ( ( ( e3 = unit
| op(e0,e3) != e3 )
& op(e0,e3) = e3 )
| ~ sP85_prd
| sP81_prd )
& ( ( ( ( e3 != unit
& op(e0,e3) = e3 )
| op(e0,e3) != e3 )
& sP85_prd )
| ~ sP81_prd ) ),
inference(NNF_transformation,[status(thm)],[f1273]) ).
fof(f1275,plain,
( sP85_prd
| ~ sP81_prd ),
inference(cnf_transformation,[status(thm)],[f1274]) ).
fof(f1277,plain,
( e3 != unit
| op(e0,e3) != e3
| ~ sP81_prd ),
inference(cnf_transformation,[status(thm)],[f1274]) ).
fof(f1278,plain,
( op(e0,e3) = e3
| ~ sP85_prd
| sP81_prd ),
inference(cnf_transformation,[status(thm)],[f1274]) ).
fof(f1279,plain,
( e3 = unit
| op(e0,e3) != e3
| ~ sP85_prd
| sP81_prd ),
inference(cnf_transformation,[status(thm)],[f1274]) ).
fof(f1280,definition,
( sP86_prd
<=> ( ( ( e0 != unit
& op(e0,e0) = e4 )
| op(e0,e4) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e3 )
| op(e0,e3) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| op(e0,e2) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| op(e0,e1) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP86_prd])],[]) ).
fof(f1281,plain,
( sP82_prd
<=> ( ( ( e0 != unit
& op(e1,e0) = e0 )
| op(e1,e0) != e0 )
& sP86_prd ) ),
inference(formula_renaming,[status(thm)],[f1248,f1280]) ).
fof(f1282,plain,
( ( ( ( e0 = unit
| op(e1,e0) != e0 )
& op(e1,e0) = e0 )
| ~ sP86_prd
| sP82_prd )
& ( ( ( ( e0 != unit
& op(e1,e0) = e0 )
| op(e1,e0) != e0 )
& sP86_prd )
| ~ sP82_prd ) ),
inference(NNF_transformation,[status(thm)],[f1281]) ).
fof(f1283,plain,
( sP86_prd
| ~ sP82_prd ),
inference(cnf_transformation,[status(thm)],[f1282]) ).
fof(f1285,plain,
( e0 != unit
| op(e1,e0) != e0
| ~ sP82_prd ),
inference(cnf_transformation,[status(thm)],[f1282]) ).
fof(f1286,plain,
( op(e1,e0) = e0
| ~ sP86_prd
| sP82_prd ),
inference(cnf_transformation,[status(thm)],[f1282]) ).
fof(f1287,plain,
( e0 = unit
| op(e1,e0) != e0
| ~ sP86_prd
| sP82_prd ),
inference(cnf_transformation,[status(thm)],[f1282]) ).
fof(f1288,definition,
( sP87_prd
<=> ( ( ( e1 != unit
& op(e0,e1) = e3 )
| op(e0,e3) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e2 )
| op(e0,e2) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e1 )
| op(e0,e1) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP87_prd])],[]) ).
fof(f1289,plain,
( sP83_prd
<=> ( ( ( e1 != unit
& op(e0,e1) = e4 )
| op(e0,e4) != e1 )
& sP87_prd ) ),
inference(formula_renaming,[status(thm)],[f1256,f1288]) ).
fof(f1290,plain,
( ( ( ( e1 = unit
| op(e0,e1) != e4 )
& op(e0,e4) = e1 )
| ~ sP87_prd
| sP83_prd )
& ( ( ( ( e1 != unit
& op(e0,e1) = e4 )
| op(e0,e4) != e1 )
& sP87_prd )
| ~ sP83_prd ) ),
inference(NNF_transformation,[status(thm)],[f1289]) ).
fof(f1291,plain,
( sP87_prd
| ~ sP83_prd ),
inference(cnf_transformation,[status(thm)],[f1290]) ).
fof(f1292,plain,
( op(e0,e1) = e4
| op(e0,e4) != e1
| ~ sP83_prd ),
inference(cnf_transformation,[status(thm)],[f1290]) ).
fof(f1294,plain,
( op(e0,e4) = e1
| ~ sP87_prd
| sP83_prd ),
inference(cnf_transformation,[status(thm)],[f1290]) ).
fof(f1296,definition,
( sP88_prd
<=> ( ( ( e2 != unit
& op(e0,e2) = e2 )
| op(e0,e2) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e1 )
| op(e0,e1) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e0 )
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP88_prd])],[]) ).
fof(f1297,plain,
( sP84_prd
<=> ( ( ( e2 != unit
& op(e0,e2) = e3 )
| op(e0,e3) != e2 )
& sP88_prd ) ),
inference(formula_renaming,[status(thm)],[f1264,f1296]) ).
fof(f1298,plain,
( ( ( ( e2 = unit
| op(e0,e2) != e3 )
& op(e0,e3) = e2 )
| ~ sP88_prd
| sP84_prd )
& ( ( ( ( e2 != unit
& op(e0,e2) = e3 )
| op(e0,e3) != e2 )
& sP88_prd )
| ~ sP84_prd ) ),
inference(NNF_transformation,[status(thm)],[f1297]) ).
fof(f1299,plain,
( sP88_prd
| ~ sP84_prd ),
inference(cnf_transformation,[status(thm)],[f1298]) ).
fof(f1300,plain,
( op(e0,e2) = e3
| op(e0,e3) != e2
| ~ sP84_prd ),
inference(cnf_transformation,[status(thm)],[f1298]) ).
fof(f1302,plain,
( op(e0,e3) = e2
| ~ sP88_prd
| sP84_prd ),
inference(cnf_transformation,[status(thm)],[f1298]) ).
fof(f1303,plain,
( e2 = unit
| op(e0,e2) != e3
| ~ sP88_prd
| sP84_prd ),
inference(cnf_transformation,[status(thm)],[f1298]) ).
fof(f1304,definition,
( sP89_prd
<=> ( ( ( e3 != unit
& op(e0,e3) = e1 )
| op(e0,e1) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e0 )
| op(e0,e0) != e3 ) ) ),
introduced(definition,[new_symbols(definition,[sP89_prd])],[]) ).
fof(f1305,plain,
( sP85_prd
<=> ( ( ( e3 != unit
& op(e0,e3) = e2 )
| op(e0,e2) != e3 )
& sP89_prd ) ),
inference(formula_renaming,[status(thm)],[f1272,f1304]) ).
fof(f1306,plain,
( ( ( ( e3 = unit
| op(e0,e3) != e2 )
& op(e0,e2) = e3 )
| ~ sP89_prd
| sP85_prd )
& ( ( ( ( e3 != unit
& op(e0,e3) = e2 )
| op(e0,e2) != e3 )
& sP89_prd )
| ~ sP85_prd ) ),
inference(NNF_transformation,[status(thm)],[f1305]) ).
fof(f1307,plain,
( sP89_prd
| ~ sP85_prd ),
inference(cnf_transformation,[status(thm)],[f1306]) ).
fof(f1308,plain,
( op(e0,e3) = e2
| op(e0,e2) != e3
| ~ sP85_prd ),
inference(cnf_transformation,[status(thm)],[f1306]) ).
fof(f1309,plain,
( e3 != unit
| op(e0,e2) != e3
| ~ sP85_prd ),
inference(cnf_transformation,[status(thm)],[f1306]) ).
fof(f1310,plain,
( op(e0,e2) = e3
| ~ sP89_prd
| sP85_prd ),
inference(cnf_transformation,[status(thm)],[f1306]) ).
fof(f1311,plain,
( e3 = unit
| op(e0,e3) != e2
| ~ sP89_prd
| sP85_prd ),
inference(cnf_transformation,[status(thm)],[f1306]) ).
fof(f1312,definition,
( sP90_prd
<=> ( ( ( e0 != unit
& op(e0,e0) = e3 )
| op(e0,e3) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| op(e0,e2) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| op(e0,e1) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP90_prd])],[]) ).
fof(f1313,plain,
( sP86_prd
<=> ( ( ( e0 != unit
& op(e0,e0) = e4 )
| op(e0,e4) != e0 )
& sP90_prd ) ),
inference(formula_renaming,[status(thm)],[f1280,f1312]) ).
fof(f1314,plain,
( ( ( ( e0 = unit
| op(e0,e0) != e4 )
& op(e0,e4) = e0 )
| ~ sP90_prd
| sP86_prd )
& ( ( ( ( e0 != unit
& op(e0,e0) = e4 )
| op(e0,e4) != e0 )
& sP90_prd )
| ~ sP86_prd ) ),
inference(NNF_transformation,[status(thm)],[f1313]) ).
fof(f1315,plain,
( sP90_prd
| ~ sP86_prd ),
inference(cnf_transformation,[status(thm)],[f1314]) ).
fof(f1316,plain,
( op(e0,e0) = e4
| op(e0,e4) != e0
| ~ sP86_prd ),
inference(cnf_transformation,[status(thm)],[f1314]) ).
fof(f1317,plain,
( e0 != unit
| op(e0,e4) != e0
| ~ sP86_prd ),
inference(cnf_transformation,[status(thm)],[f1314]) ).
fof(f1318,plain,
( op(e0,e4) = e0
| ~ sP90_prd
| sP86_prd ),
inference(cnf_transformation,[status(thm)],[f1314]) ).
fof(f1319,plain,
( e0 = unit
| op(e0,e0) != e4
| ~ sP90_prd
| sP86_prd ),
inference(cnf_transformation,[status(thm)],[f1314]) ).
fof(f1320,definition,
( sP91_prd
<=> ( ( ( e1 != unit
& op(e0,e1) = e2 )
| op(e0,e2) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e1 )
| op(e0,e1) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP91_prd])],[]) ).
fof(f1321,plain,
( sP87_prd
<=> ( ( ( e1 != unit
& op(e0,e1) = e3 )
| op(e0,e3) != e1 )
& sP91_prd ) ),
inference(formula_renaming,[status(thm)],[f1288,f1320]) ).
fof(f1322,plain,
( ( ( ( e1 = unit
| op(e0,e1) != e3 )
& op(e0,e3) = e1 )
| ~ sP91_prd
| sP87_prd )
& ( ( ( ( e1 != unit
& op(e0,e1) = e3 )
| op(e0,e3) != e1 )
& sP91_prd )
| ~ sP87_prd ) ),
inference(NNF_transformation,[status(thm)],[f1321]) ).
fof(f1323,plain,
( sP91_prd
| ~ sP87_prd ),
inference(cnf_transformation,[status(thm)],[f1322]) ).
fof(f1324,plain,
( op(e0,e1) = e3
| op(e0,e3) != e1
| ~ sP87_prd ),
inference(cnf_transformation,[status(thm)],[f1322]) ).
fof(f1326,plain,
( op(e0,e3) = e1
| ~ sP91_prd
| sP87_prd ),
inference(cnf_transformation,[status(thm)],[f1322]) ).
fof(f1327,plain,
( e1 = unit
| op(e0,e1) != e3
| ~ sP91_prd
| sP87_prd ),
inference(cnf_transformation,[status(thm)],[f1322]) ).
fof(f1328,definition,
( sP92_prd
<=> ( ( ( e2 != unit
& op(e0,e2) = e1 )
| op(e0,e1) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e0 )
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP92_prd])],[]) ).
fof(f1329,plain,
( sP88_prd
<=> ( ( ( e2 != unit
& op(e0,e2) = e2 )
| op(e0,e2) != e2 )
& sP92_prd ) ),
inference(formula_renaming,[status(thm)],[f1296,f1328]) ).
fof(f1330,plain,
( ( ( ( e2 = unit
| op(e0,e2) != e2 )
& op(e0,e2) = e2 )
| ~ sP92_prd
| sP88_prd )
& ( ( ( ( e2 != unit
& op(e0,e2) = e2 )
| op(e0,e2) != e2 )
& sP92_prd )
| ~ sP88_prd ) ),
inference(NNF_transformation,[status(thm)],[f1329]) ).
fof(f1331,plain,
( sP92_prd
| ~ sP88_prd ),
inference(cnf_transformation,[status(thm)],[f1330]) ).
fof(f1333,plain,
( e2 != unit
| op(e0,e2) != e2
| ~ sP88_prd ),
inference(cnf_transformation,[status(thm)],[f1330]) ).
fof(f1334,plain,
( op(e0,e2) = e2
| ~ sP92_prd
| sP88_prd ),
inference(cnf_transformation,[status(thm)],[f1330]) ).
fof(f1335,plain,
( e2 = unit
| op(e0,e2) != e2
| ~ sP92_prd
| sP88_prd ),
inference(cnf_transformation,[status(thm)],[f1330]) ).
fof(f1336,plain,
( ( ( ( e3 = unit
| op(e0,e3) != e1 )
& op(e0,e1) = e3 )
| ( ( e3 = unit
| op(e0,e3) != e0 )
& op(e0,e0) = e3 )
| sP89_prd )
& ( ( ( ( e3 != unit
& op(e0,e3) = e1 )
| op(e0,e1) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e0 )
| op(e0,e0) != e3 ) )
| ~ sP89_prd ) ),
inference(NNF_transformation,[status(thm)],[f1304]) ).
fof(f1337,plain,
( op(e0,e3) = e0
| op(e0,e0) != e3
| ~ sP89_prd ),
inference(cnf_transformation,[status(thm)],[f1336]) ).
fof(f1338,plain,
( e3 != unit
| op(e0,e0) != e3
| ~ sP89_prd ),
inference(cnf_transformation,[status(thm)],[f1336]) ).
fof(f1339,plain,
( op(e0,e3) = e1
| op(e0,e1) != e3
| ~ sP89_prd ),
inference(cnf_transformation,[status(thm)],[f1336]) ).
fof(f1340,plain,
( e3 != unit
| op(e0,e1) != e3
| ~ sP89_prd ),
inference(cnf_transformation,[status(thm)],[f1336]) ).
fof(f1341,plain,
( op(e0,e1) = e3
| op(e0,e0) = e3
| sP89_prd ),
inference(cnf_transformation,[status(thm)],[f1336]) ).
fof(f1342,plain,
( e3 = unit
| op(e0,e3) != e1
| op(e0,e0) = e3
| sP89_prd ),
inference(cnf_transformation,[status(thm)],[f1336]) ).
fof(f1343,plain,
( op(e0,e1) = e3
| e3 = unit
| op(e0,e3) != e0
| sP89_prd ),
inference(cnf_transformation,[status(thm)],[f1336]) ).
fof(f1345,definition,
( sP93_prd
<=> ( ( ( e0 != unit
& op(e0,e0) = e2 )
| op(e0,e2) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| op(e0,e1) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP93_prd])],[]) ).
fof(f1346,plain,
( sP90_prd
<=> ( ( ( e0 != unit
& op(e0,e0) = e3 )
| op(e0,e3) != e0 )
& sP93_prd ) ),
inference(formula_renaming,[status(thm)],[f1312,f1345]) ).
fof(f1347,plain,
( ( ( ( e0 = unit
| op(e0,e0) != e3 )
& op(e0,e3) = e0 )
| ~ sP93_prd
| sP90_prd )
& ( ( ( ( e0 != unit
& op(e0,e0) = e3 )
| op(e0,e3) != e0 )
& sP93_prd )
| ~ sP90_prd ) ),
inference(NNF_transformation,[status(thm)],[f1346]) ).
fof(f1348,plain,
( sP93_prd
| ~ sP90_prd ),
inference(cnf_transformation,[status(thm)],[f1347]) ).
fof(f1349,plain,
( op(e0,e0) = e3
| op(e0,e3) != e0
| ~ sP90_prd ),
inference(cnf_transformation,[status(thm)],[f1347]) ).
fof(f1351,plain,
( op(e0,e3) = e0
| ~ sP93_prd
| sP90_prd ),
inference(cnf_transformation,[status(thm)],[f1347]) ).
fof(f1352,plain,
( e0 = unit
| op(e0,e0) != e3
| ~ sP93_prd
| sP90_prd ),
inference(cnf_transformation,[status(thm)],[f1347]) ).
fof(f1353,definition,
( sP94_prd
<=> ( ( ( e1 != unit
& op(e0,e1) = e1 )
| op(e0,e1) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP94_prd])],[]) ).
fof(f1354,plain,
( sP91_prd
<=> ( ( ( e1 != unit
& op(e0,e1) = e2 )
| op(e0,e2) != e1 )
& sP94_prd ) ),
inference(formula_renaming,[status(thm)],[f1320,f1353]) ).
fof(f1355,plain,
( ( ( ( e1 = unit
| op(e0,e1) != e2 )
& op(e0,e2) = e1 )
| ~ sP94_prd
| sP91_prd )
& ( ( ( ( e1 != unit
& op(e0,e1) = e2 )
| op(e0,e2) != e1 )
& sP94_prd )
| ~ sP91_prd ) ),
inference(NNF_transformation,[status(thm)],[f1354]) ).
fof(f1356,plain,
( sP94_prd
| ~ sP91_prd ),
inference(cnf_transformation,[status(thm)],[f1355]) ).
fof(f1357,plain,
( op(e0,e1) = e2
| op(e0,e2) != e1
| ~ sP91_prd ),
inference(cnf_transformation,[status(thm)],[f1355]) ).
fof(f1358,plain,
( e1 != unit
| op(e0,e2) != e1
| ~ sP91_prd ),
inference(cnf_transformation,[status(thm)],[f1355]) ).
fof(f1359,plain,
( op(e0,e2) = e1
| ~ sP94_prd
| sP91_prd ),
inference(cnf_transformation,[status(thm)],[f1355]) ).
fof(f1360,plain,
( e1 = unit
| op(e0,e1) != e2
| ~ sP94_prd
| sP91_prd ),
inference(cnf_transformation,[status(thm)],[f1355]) ).
fof(f1361,plain,
( ( ( ( e2 = unit
| op(e0,e2) != e1 )
& op(e0,e1) = e2 )
| ( ( e2 = unit
| op(e0,e2) != e0 )
& op(e0,e0) = e2 )
| sP92_prd )
& ( ( ( ( e2 != unit
& op(e0,e2) = e1 )
| op(e0,e1) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e0 )
| op(e0,e0) != e2 ) )
| ~ sP92_prd ) ),
inference(NNF_transformation,[status(thm)],[f1328]) ).
fof(f1362,plain,
( op(e0,e2) = e0
| op(e0,e0) != e2
| ~ sP92_prd ),
inference(cnf_transformation,[status(thm)],[f1361]) ).
fof(f1363,plain,
( e2 != unit
| op(e0,e0) != e2
| ~ sP92_prd ),
inference(cnf_transformation,[status(thm)],[f1361]) ).
fof(f1364,plain,
( op(e0,e2) = e1
| op(e0,e1) != e2
| ~ sP92_prd ),
inference(cnf_transformation,[status(thm)],[f1361]) ).
fof(f1365,plain,
( e2 != unit
| op(e0,e1) != e2
| ~ sP92_prd ),
inference(cnf_transformation,[status(thm)],[f1361]) ).
fof(f1366,plain,
( op(e0,e1) = e2
| op(e0,e0) = e2
| sP92_prd ),
inference(cnf_transformation,[status(thm)],[f1361]) ).
fof(f1367,plain,
( e2 = unit
| op(e0,e2) != e1
| op(e0,e0) = e2
| sP92_prd ),
inference(cnf_transformation,[status(thm)],[f1361]) ).
fof(f1368,plain,
( op(e0,e1) = e2
| e2 = unit
| op(e0,e2) != e0
| sP92_prd ),
inference(cnf_transformation,[status(thm)],[f1361]) ).
fof(f1370,definition,
( sP95_prd
<=> ( ( ( e0 != unit
& op(e0,e0) = e1 )
| op(e0,e1) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP95_prd])],[]) ).
fof(f1371,plain,
( sP93_prd
<=> ( ( ( e0 != unit
& op(e0,e0) = e2 )
| op(e0,e2) != e0 )
& sP95_prd ) ),
inference(formula_renaming,[status(thm)],[f1345,f1370]) ).
fof(f1372,plain,
( ( ( ( e0 = unit
| op(e0,e0) != e2 )
& op(e0,e2) = e0 )
| ~ sP95_prd
| sP93_prd )
& ( ( ( ( e0 != unit
& op(e0,e0) = e2 )
| op(e0,e2) != e0 )
& sP95_prd )
| ~ sP93_prd ) ),
inference(NNF_transformation,[status(thm)],[f1371]) ).
fof(f1373,plain,
( sP95_prd
| ~ sP93_prd ),
inference(cnf_transformation,[status(thm)],[f1372]) ).
fof(f1374,plain,
( op(e0,e0) = e2
| op(e0,e2) != e0
| ~ sP93_prd ),
inference(cnf_transformation,[status(thm)],[f1372]) ).
fof(f1376,plain,
( op(e0,e2) = e0
| ~ sP95_prd
| sP93_prd ),
inference(cnf_transformation,[status(thm)],[f1372]) ).
fof(f1377,plain,
( e0 = unit
| op(e0,e0) != e2
| ~ sP95_prd
| sP93_prd ),
inference(cnf_transformation,[status(thm)],[f1372]) ).
fof(f1378,plain,
( ( ( ( e1 = unit
| op(e0,e1) != e1 )
& op(e0,e1) = e1 )
| ( ( e1 = unit
| op(e0,e1) != e0 )
& op(e0,e0) = e1 )
| sP94_prd )
& ( ( ( ( e1 != unit
& op(e0,e1) = e1 )
| op(e0,e1) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ) )
| ~ sP94_prd ) ),
inference(NNF_transformation,[status(thm)],[f1353]) ).
fof(f1379,plain,
( op(e0,e1) = e0
| op(e0,e0) != e1
| ~ sP94_prd ),
inference(cnf_transformation,[status(thm)],[f1378]) ).
fof(f1380,plain,
( e1 != unit
| op(e0,e0) != e1
| ~ sP94_prd ),
inference(cnf_transformation,[status(thm)],[f1378]) ).
fof(f1382,plain,
( e1 != unit
| op(e0,e1) != e1
| ~ sP94_prd ),
inference(cnf_transformation,[status(thm)],[f1378]) ).
fof(f1383,plain,
( op(e0,e1) = e1
| op(e0,e0) = e1
| sP94_prd ),
inference(cnf_transformation,[status(thm)],[f1378]) ).
fof(f1384,plain,
( e1 = unit
| op(e0,e1) != e1
| op(e0,e0) = e1
| sP94_prd ),
inference(cnf_transformation,[status(thm)],[f1378]) ).
fof(f1385,plain,
( op(e0,e1) = e1
| e1 = unit
| op(e0,e1) != e0
| sP94_prd ),
inference(cnf_transformation,[status(thm)],[f1378]) ).
fof(f1387,plain,
( ( ( ( e0 = unit
| op(e0,e0) != e1 )
& op(e0,e1) = e0 )
| ( ( e0 = unit
| op(e0,e0) != e0 )
& op(e0,e0) = e0 )
| sP95_prd )
& ( ( ( ( e0 != unit
& op(e0,e0) = e1 )
| op(e0,e1) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ) )
| ~ sP95_prd ) ),
inference(NNF_transformation,[status(thm)],[f1370]) ).
fof(f1389,plain,
( e0 != unit
| op(e0,e0) != e0
| ~ sP95_prd ),
inference(cnf_transformation,[status(thm)],[f1387]) ).
fof(f1390,plain,
( op(e0,e0) = e1
| op(e0,e1) != e0
| ~ sP95_prd ),
inference(cnf_transformation,[status(thm)],[f1387]) ).
fof(f1392,plain,
( op(e0,e1) = e0
| op(e0,e0) = e0
| sP95_prd ),
inference(cnf_transformation,[status(thm)],[f1387]) ).
fof(f1396,definition,
( sQ0_spl
<=> op(e0,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f1397,plain,
( ~ sQ0_spl
| op(e0,e0) = e0 ),
inference(component_clause,[status(thm)],[f1396]) ).
fof(f1399,definition,
( sQ1_spl
<=> op(e0,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f1400,plain,
( ~ sQ1_spl
| op(e0,e0) = e1 ),
inference(component_clause,[status(thm)],[f1399]) ).
fof(f1402,definition,
( sQ2_spl
<=> op(e0,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f1403,plain,
( ~ sQ2_spl
| op(e0,e0) = e2 ),
inference(component_clause,[status(thm)],[f1402]) ).
fof(f1405,definition,
( sQ3_spl
<=> op(e0,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f1406,plain,
( ~ sQ3_spl
| op(e0,e0) = e3 ),
inference(component_clause,[status(thm)],[f1405]) ).
fof(f1408,definition,
( sQ4_spl
<=> op(e0,e0) = e4 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f1409,plain,
( ~ sQ4_spl
| op(e0,e0) = e4 ),
inference(component_clause,[status(thm)],[f1408]) ).
fof(f1411,plain,
( sQ4_spl
| sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f127,f1396,f1399,f1402,f1405,f1408]) ).
fof(f1412,definition,
( sQ5_spl
<=> op(e0,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f1413,plain,
( ~ sQ5_spl
| op(e0,e1) = e0 ),
inference(component_clause,[status(thm)],[f1412]) ).
fof(f1415,definition,
( sQ6_spl
<=> op(e0,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f1416,plain,
( ~ sQ6_spl
| op(e0,e1) = e1 ),
inference(component_clause,[status(thm)],[f1415]) ).
fof(f1418,definition,
( sQ7_spl
<=> op(e0,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f1419,plain,
( ~ sQ7_spl
| op(e0,e1) = e2 ),
inference(component_clause,[status(thm)],[f1418]) ).
fof(f1421,definition,
( sQ8_spl
<=> op(e0,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f1422,plain,
( ~ sQ8_spl
| op(e0,e1) = e3 ),
inference(component_clause,[status(thm)],[f1421]) ).
fof(f1424,definition,
( sQ9_spl
<=> op(e0,e1) = e4 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f1425,plain,
( ~ sQ9_spl
| op(e0,e1) = e4 ),
inference(component_clause,[status(thm)],[f1424]) ).
fof(f1427,plain,
( sQ9_spl
| sQ8_spl
| sQ7_spl
| sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f128,f1412,f1415,f1418,f1421,f1424]) ).
fof(f1428,definition,
( sQ10_spl
<=> op(e0,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f1429,plain,
( ~ sQ10_spl
| op(e0,e2) = e0 ),
inference(component_clause,[status(thm)],[f1428]) ).
fof(f1431,definition,
( sQ11_spl
<=> op(e0,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f1432,plain,
( ~ sQ11_spl
| op(e0,e2) = e1 ),
inference(component_clause,[status(thm)],[f1431]) ).
fof(f1434,definition,
( sQ12_spl
<=> op(e0,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f1435,plain,
( ~ sQ12_spl
| op(e0,e2) = e2 ),
inference(component_clause,[status(thm)],[f1434]) ).
fof(f1437,definition,
( sQ13_spl
<=> op(e0,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f1438,plain,
( ~ sQ13_spl
| op(e0,e2) = e3 ),
inference(component_clause,[status(thm)],[f1437]) ).
fof(f1440,definition,
( sQ14_spl
<=> op(e0,e2) = e4 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f1441,plain,
( ~ sQ14_spl
| op(e0,e2) = e4 ),
inference(component_clause,[status(thm)],[f1440]) ).
fof(f1443,plain,
( sQ14_spl
| sQ13_spl
| sQ12_spl
| sQ11_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f129,f1428,f1431,f1434,f1437,f1440]) ).
fof(f1444,definition,
( sQ15_spl
<=> op(e0,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f1445,plain,
( ~ sQ15_spl
| op(e0,e3) = e0 ),
inference(component_clause,[status(thm)],[f1444]) ).
fof(f1447,definition,
( sQ16_spl
<=> op(e0,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f1448,plain,
( ~ sQ16_spl
| op(e0,e3) = e1 ),
inference(component_clause,[status(thm)],[f1447]) ).
fof(f1450,definition,
( sQ17_spl
<=> op(e0,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f1451,plain,
( ~ sQ17_spl
| op(e0,e3) = e2 ),
inference(component_clause,[status(thm)],[f1450]) ).
fof(f1453,definition,
( sQ18_spl
<=> op(e0,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f1454,plain,
( ~ sQ18_spl
| op(e0,e3) = e3 ),
inference(component_clause,[status(thm)],[f1453]) ).
fof(f1456,definition,
( sQ19_spl
<=> op(e0,e3) = e4 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f1457,plain,
( ~ sQ19_spl
| op(e0,e3) = e4 ),
inference(component_clause,[status(thm)],[f1456]) ).
fof(f1459,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f130,f1444,f1447,f1450,f1453,f1456]) ).
fof(f1460,definition,
( sQ20_spl
<=> op(e0,e4) = e0 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f1461,plain,
( ~ sQ20_spl
| op(e0,e4) = e0 ),
inference(component_clause,[status(thm)],[f1460]) ).
fof(f1463,definition,
( sQ21_spl
<=> op(e0,e4) = e1 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f1464,plain,
( ~ sQ21_spl
| op(e0,e4) = e1 ),
inference(component_clause,[status(thm)],[f1463]) ).
fof(f1466,definition,
( sQ22_spl
<=> op(e0,e4) = e2 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f1467,plain,
( ~ sQ22_spl
| op(e0,e4) = e2 ),
inference(component_clause,[status(thm)],[f1466]) ).
fof(f1469,definition,
( sQ23_spl
<=> op(e0,e4) = e3 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f1470,plain,
( ~ sQ23_spl
| op(e0,e4) = e3 ),
inference(component_clause,[status(thm)],[f1469]) ).
fof(f1472,definition,
( sQ24_spl
<=> op(e0,e4) = e4 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f1473,plain,
( ~ sQ24_spl
| op(e0,e4) = e4 ),
inference(component_clause,[status(thm)],[f1472]) ).
fof(f1475,plain,
( sQ24_spl
| sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f131,f1460,f1463,f1466,f1469,f1472]) ).
fof(f1476,definition,
( sQ25_spl
<=> op(e1,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f1477,plain,
( ~ sQ25_spl
| op(e1,e0) = e0 ),
inference(component_clause,[status(thm)],[f1476]) ).
fof(f1479,definition,
( sQ26_spl
<=> op(e1,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f1480,plain,
( ~ sQ26_spl
| op(e1,e0) = e1 ),
inference(component_clause,[status(thm)],[f1479]) ).
fof(f1482,definition,
( sQ27_spl
<=> op(e1,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f1485,definition,
( sQ28_spl
<=> op(e1,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f1486,plain,
( ~ sQ28_spl
| op(e1,e0) = e3 ),
inference(component_clause,[status(thm)],[f1485]) ).
fof(f1488,definition,
( sQ29_spl
<=> op(e1,e0) = e4 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f1489,plain,
( ~ sQ29_spl
| op(e1,e0) = e4 ),
inference(component_clause,[status(thm)],[f1488]) ).
fof(f1491,plain,
( sQ29_spl
| sQ28_spl
| sQ27_spl
| sQ26_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f132,f1476,f1479,f1482,f1485,f1488]) ).
fof(f1492,definition,
( sQ30_spl
<=> op(e1,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f1493,plain,
( ~ sQ30_spl
| op(e1,e1) = e0 ),
inference(component_clause,[status(thm)],[f1492]) ).
fof(f1495,definition,
( sQ31_spl
<=> op(e1,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f1496,plain,
( ~ sQ31_spl
| op(e1,e1) = e1 ),
inference(component_clause,[status(thm)],[f1495]) ).
fof(f1498,definition,
( sQ32_spl
<=> op(e1,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f1499,plain,
( ~ sQ32_spl
| op(e1,e1) = e2 ),
inference(component_clause,[status(thm)],[f1498]) ).
fof(f1501,definition,
( sQ33_spl
<=> op(e1,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f1502,plain,
( ~ sQ33_spl
| op(e1,e1) = e3 ),
inference(component_clause,[status(thm)],[f1501]) ).
fof(f1504,definition,
( sQ34_spl
<=> op(e1,e1) = e4 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f1505,plain,
( ~ sQ34_spl
| op(e1,e1) = e4 ),
inference(component_clause,[status(thm)],[f1504]) ).
fof(f1507,plain,
( sQ34_spl
| sQ33_spl
| sQ32_spl
| sQ31_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f133,f1492,f1495,f1498,f1501,f1504]) ).
fof(f1508,definition,
( sQ35_spl
<=> op(e1,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f1509,plain,
( ~ sQ35_spl
| op(e1,e2) = e0 ),
inference(component_clause,[status(thm)],[f1508]) ).
fof(f1511,definition,
( sQ36_spl
<=> op(e1,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f1512,plain,
( ~ sQ36_spl
| op(e1,e2) = e1 ),
inference(component_clause,[status(thm)],[f1511]) ).
fof(f1514,definition,
( sQ37_spl
<=> op(e1,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f1515,plain,
( ~ sQ37_spl
| op(e1,e2) = e2 ),
inference(component_clause,[status(thm)],[f1514]) ).
fof(f1517,definition,
( sQ38_spl
<=> op(e1,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f1518,plain,
( ~ sQ38_spl
| op(e1,e2) = e3 ),
inference(component_clause,[status(thm)],[f1517]) ).
fof(f1520,definition,
( sQ39_spl
<=> op(e1,e2) = e4 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f1521,plain,
( ~ sQ39_spl
| op(e1,e2) = e4 ),
inference(component_clause,[status(thm)],[f1520]) ).
fof(f1523,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f134,f1508,f1511,f1514,f1517,f1520]) ).
fof(f1524,definition,
( sQ40_spl
<=> op(e1,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f1525,plain,
( ~ sQ40_spl
| op(e1,e3) = e0 ),
inference(component_clause,[status(thm)],[f1524]) ).
fof(f1527,definition,
( sQ41_spl
<=> op(e1,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f1528,plain,
( ~ sQ41_spl
| op(e1,e3) = e1 ),
inference(component_clause,[status(thm)],[f1527]) ).
fof(f1530,definition,
( sQ42_spl
<=> op(e1,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f1531,plain,
( ~ sQ42_spl
| op(e1,e3) = e2 ),
inference(component_clause,[status(thm)],[f1530]) ).
fof(f1533,definition,
( sQ43_spl
<=> op(e1,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f1534,plain,
( ~ sQ43_spl
| op(e1,e3) = e3 ),
inference(component_clause,[status(thm)],[f1533]) ).
fof(f1536,definition,
( sQ44_spl
<=> op(e1,e3) = e4 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f1537,plain,
( ~ sQ44_spl
| op(e1,e3) = e4 ),
inference(component_clause,[status(thm)],[f1536]) ).
fof(f1539,plain,
( sQ44_spl
| sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f135,f1524,f1527,f1530,f1533,f1536]) ).
fof(f1540,definition,
( sQ45_spl
<=> op(e1,e4) = e0 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f1541,plain,
( ~ sQ45_spl
| op(e1,e4) = e0 ),
inference(component_clause,[status(thm)],[f1540]) ).
fof(f1543,definition,
( sQ46_spl
<=> op(e1,e4) = e1 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f1544,plain,
( ~ sQ46_spl
| op(e1,e4) = e1 ),
inference(component_clause,[status(thm)],[f1543]) ).
fof(f1546,definition,
( sQ47_spl
<=> op(e1,e4) = e2 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f1547,plain,
( ~ sQ47_spl
| op(e1,e4) = e2 ),
inference(component_clause,[status(thm)],[f1546]) ).
fof(f1549,definition,
( sQ48_spl
<=> op(e1,e4) = e3 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f1550,plain,
( ~ sQ48_spl
| op(e1,e4) = e3 ),
inference(component_clause,[status(thm)],[f1549]) ).
fof(f1552,definition,
( sQ49_spl
<=> op(e1,e4) = e4 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f1553,plain,
( ~ sQ49_spl
| op(e1,e4) = e4 ),
inference(component_clause,[status(thm)],[f1552]) ).
fof(f1555,plain,
( sQ49_spl
| sQ48_spl
| sQ47_spl
| sQ46_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f136,f1540,f1543,f1546,f1549,f1552]) ).
fof(f1556,definition,
( sQ50_spl
<=> op(e2,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f1557,plain,
( ~ sQ50_spl
| op(e2,e0) = e0 ),
inference(component_clause,[status(thm)],[f1556]) ).
fof(f1559,definition,
( sQ51_spl
<=> op(e2,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f1560,plain,
( ~ sQ51_spl
| op(e2,e0) = e1 ),
inference(component_clause,[status(thm)],[f1559]) ).
fof(f1562,definition,
( sQ52_spl
<=> op(e2,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f1563,plain,
( ~ sQ52_spl
| op(e2,e0) = e2 ),
inference(component_clause,[status(thm)],[f1562]) ).
fof(f1565,definition,
( sQ53_spl
<=> op(e2,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f1566,plain,
( ~ sQ53_spl
| op(e2,e0) = e3 ),
inference(component_clause,[status(thm)],[f1565]) ).
fof(f1568,definition,
( sQ54_spl
<=> op(e2,e0) = e4 ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f1569,plain,
( ~ sQ54_spl
| op(e2,e0) = e4 ),
inference(component_clause,[status(thm)],[f1568]) ).
fof(f1571,plain,
( sQ54_spl
| sQ53_spl
| sQ52_spl
| sQ51_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f137,f1556,f1559,f1562,f1565,f1568]) ).
fof(f1572,definition,
( sQ55_spl
<=> op(e2,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f1573,plain,
( ~ sQ55_spl
| op(e2,e1) = e0 ),
inference(component_clause,[status(thm)],[f1572]) ).
fof(f1575,definition,
( sQ56_spl
<=> op(e2,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f1576,plain,
( ~ sQ56_spl
| op(e2,e1) = e1 ),
inference(component_clause,[status(thm)],[f1575]) ).
fof(f1578,definition,
( sQ57_spl
<=> op(e2,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f1579,plain,
( ~ sQ57_spl
| op(e2,e1) = e2 ),
inference(component_clause,[status(thm)],[f1578]) ).
fof(f1581,definition,
( sQ58_spl
<=> op(e2,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f1582,plain,
( ~ sQ58_spl
| op(e2,e1) = e3 ),
inference(component_clause,[status(thm)],[f1581]) ).
fof(f1584,definition,
( sQ59_spl
<=> op(e2,e1) = e4 ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f1585,plain,
( ~ sQ59_spl
| op(e2,e1) = e4 ),
inference(component_clause,[status(thm)],[f1584]) ).
fof(f1587,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f138,f1572,f1575,f1578,f1581,f1584]) ).
fof(f1588,definition,
( sQ60_spl
<=> op(e2,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f1589,plain,
( ~ sQ60_spl
| op(e2,e2) = e0 ),
inference(component_clause,[status(thm)],[f1588]) ).
fof(f1591,definition,
( sQ61_spl
<=> op(e2,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f1592,plain,
( ~ sQ61_spl
| op(e2,e2) = e1 ),
inference(component_clause,[status(thm)],[f1591]) ).
fof(f1594,definition,
( sQ62_spl
<=> op(e2,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f1595,plain,
( ~ sQ62_spl
| op(e2,e2) = e2 ),
inference(component_clause,[status(thm)],[f1594]) ).
fof(f1597,definition,
( sQ63_spl
<=> op(e2,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f1598,plain,
( ~ sQ63_spl
| op(e2,e2) = e3 ),
inference(component_clause,[status(thm)],[f1597]) ).
fof(f1600,definition,
( sQ64_spl
<=> op(e2,e2) = e4 ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f1601,plain,
( ~ sQ64_spl
| op(e2,e2) = e4 ),
inference(component_clause,[status(thm)],[f1600]) ).
fof(f1603,plain,
( sQ64_spl
| sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f139,f1588,f1591,f1594,f1597,f1600]) ).
fof(f1604,definition,
( sQ65_spl
<=> op(e2,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f1605,plain,
( ~ sQ65_spl
| op(e2,e3) = e0 ),
inference(component_clause,[status(thm)],[f1604]) ).
fof(f1607,definition,
( sQ66_spl
<=> op(e2,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f1608,plain,
( ~ sQ66_spl
| op(e2,e3) = e1 ),
inference(component_clause,[status(thm)],[f1607]) ).
fof(f1610,definition,
( sQ67_spl
<=> op(e2,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f1611,plain,
( ~ sQ67_spl
| op(e2,e3) = e2 ),
inference(component_clause,[status(thm)],[f1610]) ).
fof(f1613,definition,
( sQ68_spl
<=> op(e2,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f1614,plain,
( ~ sQ68_spl
| op(e2,e3) = e3 ),
inference(component_clause,[status(thm)],[f1613]) ).
fof(f1616,definition,
( sQ69_spl
<=> op(e2,e3) = e4 ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f1617,plain,
( ~ sQ69_spl
| op(e2,e3) = e4 ),
inference(component_clause,[status(thm)],[f1616]) ).
fof(f1619,plain,
( sQ69_spl
| sQ68_spl
| sQ67_spl
| sQ66_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f140,f1604,f1607,f1610,f1613,f1616]) ).
fof(f1620,definition,
( sQ70_spl
<=> op(e2,e4) = e0 ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f1621,plain,
( ~ sQ70_spl
| op(e2,e4) = e0 ),
inference(component_clause,[status(thm)],[f1620]) ).
fof(f1623,definition,
( sQ71_spl
<=> op(e2,e4) = e1 ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f1624,plain,
( ~ sQ71_spl
| op(e2,e4) = e1 ),
inference(component_clause,[status(thm)],[f1623]) ).
fof(f1626,definition,
( sQ72_spl
<=> op(e2,e4) = e2 ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f1627,plain,
( ~ sQ72_spl
| op(e2,e4) = e2 ),
inference(component_clause,[status(thm)],[f1626]) ).
fof(f1629,definition,
( sQ73_spl
<=> op(e2,e4) = e3 ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f1630,plain,
( ~ sQ73_spl
| op(e2,e4) = e3 ),
inference(component_clause,[status(thm)],[f1629]) ).
fof(f1632,definition,
( sQ74_spl
<=> op(e2,e4) = e4 ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f1633,plain,
( ~ sQ74_spl
| op(e2,e4) = e4 ),
inference(component_clause,[status(thm)],[f1632]) ).
fof(f1635,plain,
( sQ74_spl
| sQ73_spl
| sQ72_spl
| sQ71_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f141,f1620,f1623,f1626,f1629,f1632]) ).
fof(f1636,definition,
( sQ75_spl
<=> op(e3,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f1637,plain,
( ~ sQ75_spl
| op(e3,e0) = e0 ),
inference(component_clause,[status(thm)],[f1636]) ).
fof(f1639,definition,
( sQ76_spl
<=> op(e3,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f1640,plain,
( ~ sQ76_spl
| op(e3,e0) = e1 ),
inference(component_clause,[status(thm)],[f1639]) ).
fof(f1642,definition,
( sQ77_spl
<=> op(e3,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f1645,definition,
( sQ78_spl
<=> op(e3,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f1646,plain,
( ~ sQ78_spl
| op(e3,e0) = e3 ),
inference(component_clause,[status(thm)],[f1645]) ).
fof(f1648,definition,
( sQ79_spl
<=> op(e3,e0) = e4 ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f1651,plain,
( sQ79_spl
| sQ78_spl
| sQ77_spl
| sQ76_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f142,f1636,f1639,f1642,f1645,f1648]) ).
fof(f1652,definition,
( sQ80_spl
<=> op(e3,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f1653,plain,
( ~ sQ80_spl
| op(e3,e1) = e0 ),
inference(component_clause,[status(thm)],[f1652]) ).
fof(f1655,definition,
( sQ81_spl
<=> op(e3,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f1656,plain,
( ~ sQ81_spl
| op(e3,e1) = e1 ),
inference(component_clause,[status(thm)],[f1655]) ).
fof(f1658,definition,
( sQ82_spl
<=> op(e3,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f1659,plain,
( ~ sQ82_spl
| op(e3,e1) = e2 ),
inference(component_clause,[status(thm)],[f1658]) ).
fof(f1661,definition,
( sQ83_spl
<=> op(e3,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f1662,plain,
( ~ sQ83_spl
| op(e3,e1) = e3 ),
inference(component_clause,[status(thm)],[f1661]) ).
fof(f1664,definition,
( sQ84_spl
<=> op(e3,e1) = e4 ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f1665,plain,
( ~ sQ84_spl
| op(e3,e1) = e4 ),
inference(component_clause,[status(thm)],[f1664]) ).
fof(f1667,plain,
( sQ84_spl
| sQ83_spl
| sQ82_spl
| sQ81_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f143,f1652,f1655,f1658,f1661,f1664]) ).
fof(f1668,definition,
( sQ85_spl
<=> op(e3,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f1669,plain,
( ~ sQ85_spl
| op(e3,e2) = e0 ),
inference(component_clause,[status(thm)],[f1668]) ).
fof(f1671,definition,
( sQ86_spl
<=> op(e3,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f1672,plain,
( ~ sQ86_spl
| op(e3,e2) = e1 ),
inference(component_clause,[status(thm)],[f1671]) ).
fof(f1674,definition,
( sQ87_spl
<=> op(e3,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f1675,plain,
( ~ sQ87_spl
| op(e3,e2) = e2 ),
inference(component_clause,[status(thm)],[f1674]) ).
fof(f1677,definition,
( sQ88_spl
<=> op(e3,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f1678,plain,
( ~ sQ88_spl
| op(e3,e2) = e3 ),
inference(component_clause,[status(thm)],[f1677]) ).
fof(f1680,definition,
( sQ89_spl
<=> op(e3,e2) = e4 ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f1681,plain,
( ~ sQ89_spl
| op(e3,e2) = e4 ),
inference(component_clause,[status(thm)],[f1680]) ).
fof(f1683,plain,
( sQ89_spl
| sQ88_spl
| sQ87_spl
| sQ86_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f144,f1668,f1671,f1674,f1677,f1680]) ).
fof(f1684,definition,
( sQ90_spl
<=> op(e3,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f1685,plain,
( ~ sQ90_spl
| op(e3,e3) = e0 ),
inference(component_clause,[status(thm)],[f1684]) ).
fof(f1687,definition,
( sQ91_spl
<=> op(e3,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f1688,plain,
( ~ sQ91_spl
| op(e3,e3) = e1 ),
inference(component_clause,[status(thm)],[f1687]) ).
fof(f1690,definition,
( sQ92_spl
<=> op(e3,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f1691,plain,
( ~ sQ92_spl
| op(e3,e3) = e2 ),
inference(component_clause,[status(thm)],[f1690]) ).
fof(f1693,definition,
( sQ93_spl
<=> op(e3,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f1694,plain,
( ~ sQ93_spl
| op(e3,e3) = e3 ),
inference(component_clause,[status(thm)],[f1693]) ).
fof(f1696,definition,
( sQ94_spl
<=> op(e3,e3) = e4 ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f1697,plain,
( ~ sQ94_spl
| op(e3,e3) = e4 ),
inference(component_clause,[status(thm)],[f1696]) ).
fof(f1699,plain,
( sQ94_spl
| sQ93_spl
| sQ92_spl
| sQ91_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f145,f1684,f1687,f1690,f1693,f1696]) ).
fof(f1700,definition,
( sQ95_spl
<=> op(e3,e4) = e0 ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f1701,plain,
( ~ sQ95_spl
| op(e3,e4) = e0 ),
inference(component_clause,[status(thm)],[f1700]) ).
fof(f1703,definition,
( sQ96_spl
<=> op(e3,e4) = e1 ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f1704,plain,
( ~ sQ96_spl
| op(e3,e4) = e1 ),
inference(component_clause,[status(thm)],[f1703]) ).
fof(f1706,definition,
( sQ97_spl
<=> op(e3,e4) = e2 ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f1707,plain,
( ~ sQ97_spl
| op(e3,e4) = e2 ),
inference(component_clause,[status(thm)],[f1706]) ).
fof(f1709,definition,
( sQ98_spl
<=> op(e3,e4) = e3 ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f1710,plain,
( ~ sQ98_spl
| op(e3,e4) = e3 ),
inference(component_clause,[status(thm)],[f1709]) ).
fof(f1712,definition,
( sQ99_spl
<=> op(e3,e4) = e4 ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f1713,plain,
( ~ sQ99_spl
| op(e3,e4) = e4 ),
inference(component_clause,[status(thm)],[f1712]) ).
fof(f1715,plain,
( sQ99_spl
| sQ98_spl
| sQ97_spl
| sQ96_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f146,f1700,f1703,f1706,f1709,f1712]) ).
fof(f1716,definition,
( sQ100_spl
<=> op(e4,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f1717,plain,
( ~ sQ100_spl
| op(e4,e0) = e0 ),
inference(component_clause,[status(thm)],[f1716]) ).
fof(f1719,definition,
( sQ101_spl
<=> op(e4,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f1720,plain,
( ~ sQ101_spl
| op(e4,e0) = e1 ),
inference(component_clause,[status(thm)],[f1719]) ).
fof(f1722,definition,
( sQ102_spl
<=> op(e4,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f1723,plain,
( ~ sQ102_spl
| op(e4,e0) = e2 ),
inference(component_clause,[status(thm)],[f1722]) ).
fof(f1725,definition,
( sQ103_spl
<=> op(e4,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f1726,plain,
( ~ sQ103_spl
| op(e4,e0) = e3 ),
inference(component_clause,[status(thm)],[f1725]) ).
fof(f1728,definition,
( sQ104_spl
<=> op(e4,e0) = e4 ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f1729,plain,
( ~ sQ104_spl
| op(e4,e0) = e4 ),
inference(component_clause,[status(thm)],[f1728]) ).
fof(f1731,plain,
( sQ104_spl
| sQ103_spl
| sQ102_spl
| sQ101_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f147,f1716,f1719,f1722,f1725,f1728]) ).
fof(f1732,definition,
( sQ105_spl
<=> op(e4,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f1733,plain,
( ~ sQ105_spl
| op(e4,e1) = e0 ),
inference(component_clause,[status(thm)],[f1732]) ).
fof(f1735,definition,
( sQ106_spl
<=> op(e4,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f1736,plain,
( ~ sQ106_spl
| op(e4,e1) = e1 ),
inference(component_clause,[status(thm)],[f1735]) ).
fof(f1738,definition,
( sQ107_spl
<=> op(e4,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f1739,plain,
( ~ sQ107_spl
| op(e4,e1) = e2 ),
inference(component_clause,[status(thm)],[f1738]) ).
fof(f1741,definition,
( sQ108_spl
<=> op(e4,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f1742,plain,
( ~ sQ108_spl
| op(e4,e1) = e3 ),
inference(component_clause,[status(thm)],[f1741]) ).
fof(f1744,definition,
( sQ109_spl
<=> op(e4,e1) = e4 ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f1745,plain,
( ~ sQ109_spl
| op(e4,e1) = e4 ),
inference(component_clause,[status(thm)],[f1744]) ).
fof(f1747,plain,
( sQ109_spl
| sQ108_spl
| sQ107_spl
| sQ106_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f148,f1732,f1735,f1738,f1741,f1744]) ).
fof(f1748,definition,
( sQ110_spl
<=> op(e4,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f1749,plain,
( ~ sQ110_spl
| op(e4,e2) = e0 ),
inference(component_clause,[status(thm)],[f1748]) ).
fof(f1751,definition,
( sQ111_spl
<=> op(e4,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f1752,plain,
( ~ sQ111_spl
| op(e4,e2) = e1 ),
inference(component_clause,[status(thm)],[f1751]) ).
fof(f1754,definition,
( sQ112_spl
<=> op(e4,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f1755,plain,
( ~ sQ112_spl
| op(e4,e2) = e2 ),
inference(component_clause,[status(thm)],[f1754]) ).
fof(f1757,definition,
( sQ113_spl
<=> op(e4,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f1758,plain,
( ~ sQ113_spl
| op(e4,e2) = e3 ),
inference(component_clause,[status(thm)],[f1757]) ).
fof(f1760,definition,
( sQ114_spl
<=> op(e4,e2) = e4 ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f1761,plain,
( ~ sQ114_spl
| op(e4,e2) = e4 ),
inference(component_clause,[status(thm)],[f1760]) ).
fof(f1763,plain,
( sQ114_spl
| sQ113_spl
| sQ112_spl
| sQ111_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f149,f1748,f1751,f1754,f1757,f1760]) ).
fof(f1764,definition,
( sQ115_spl
<=> op(e4,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f1765,plain,
( ~ sQ115_spl
| op(e4,e3) = e0 ),
inference(component_clause,[status(thm)],[f1764]) ).
fof(f1767,definition,
( sQ116_spl
<=> op(e4,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f1768,plain,
( ~ sQ116_spl
| op(e4,e3) = e1 ),
inference(component_clause,[status(thm)],[f1767]) ).
fof(f1770,definition,
( sQ117_spl
<=> op(e4,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f1771,plain,
( ~ sQ117_spl
| op(e4,e3) = e2 ),
inference(component_clause,[status(thm)],[f1770]) ).
fof(f1773,definition,
( sQ118_spl
<=> op(e4,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f1774,plain,
( ~ sQ118_spl
| op(e4,e3) = e3 ),
inference(component_clause,[status(thm)],[f1773]) ).
fof(f1776,definition,
( sQ119_spl
<=> op(e4,e3) = e4 ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f1777,plain,
( ~ sQ119_spl
| op(e4,e3) = e4 ),
inference(component_clause,[status(thm)],[f1776]) ).
fof(f1779,plain,
( sQ119_spl
| sQ118_spl
| sQ117_spl
| sQ116_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f150,f1764,f1767,f1770,f1773,f1776]) ).
fof(f1780,definition,
( sQ120_spl
<=> op(e4,e4) = e0 ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f1781,plain,
( ~ sQ120_spl
| op(e4,e4) = e0 ),
inference(component_clause,[status(thm)],[f1780]) ).
fof(f1783,definition,
( sQ121_spl
<=> op(e4,e4) = e1 ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f1784,plain,
( ~ sQ121_spl
| op(e4,e4) = e1 ),
inference(component_clause,[status(thm)],[f1783]) ).
fof(f1786,definition,
( sQ122_spl
<=> op(e4,e4) = e2 ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f1787,plain,
( ~ sQ122_spl
| op(e4,e4) = e2 ),
inference(component_clause,[status(thm)],[f1786]) ).
fof(f1789,definition,
( sQ123_spl
<=> op(e4,e4) = e3 ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f1790,plain,
( ~ sQ123_spl
| op(e4,e4) = e3 ),
inference(component_clause,[status(thm)],[f1789]) ).
fof(f1792,definition,
( sQ124_spl
<=> op(e4,e4) = e4 ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f1793,plain,
( ~ sQ124_spl
| op(e4,e4) = e4 ),
inference(component_clause,[status(thm)],[f1792]) ).
fof(f1795,plain,
( sQ124_spl
| sQ123_spl
| sQ122_spl
| sQ121_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f151,f1780,f1783,f1786,f1789,f1792]) ).
fof(f1796,definition,
( sQ125_spl
<=> unit = e0 ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f1797,plain,
( ~ sQ125_spl
| unit = e0 ),
inference(component_clause,[status(thm)],[f1796]) ).
fof(f1799,definition,
( sQ126_spl
<=> unit = e1 ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f1800,plain,
( ~ sQ126_spl
| unit = e1 ),
inference(component_clause,[status(thm)],[f1799]) ).
fof(f1802,definition,
( sQ127_spl
<=> unit = e2 ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f1803,plain,
( ~ sQ127_spl
| unit = e2 ),
inference(component_clause,[status(thm)],[f1802]) ).
fof(f1805,definition,
( sQ128_spl
<=> unit = e3 ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f1806,plain,
( ~ sQ128_spl
| unit = e3 ),
inference(component_clause,[status(thm)],[f1805]) ).
fof(f1808,definition,
( sQ129_spl
<=> unit = e4 ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f1809,plain,
( ~ sQ129_spl
| unit = e4 ),
inference(component_clause,[status(thm)],[f1808]) ).
fof(f1811,plain,
( sQ129_spl
| sQ128_spl
| sQ127_spl
| sQ126_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f162,f1796,f1799,f1802,f1805,f1808]) ).
fof(f1812,plain,
( sQ20_spl
| sQ15_spl
| sQ10_spl
| sQ5_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f163,f1396,f1412,f1428,f1444,f1460]) ).
fof(f1814,plain,
( sQ21_spl
| sQ16_spl
| sQ11_spl
| sQ6_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f165,f1399,f1415,f1431,f1447,f1463]) ).
fof(f1815,plain,
( sQ101_spl
| sQ76_spl
| sQ51_spl
| sQ26_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f166,f1399,f1479,f1559,f1639,f1719]) ).
fof(f1816,plain,
( sQ22_spl
| sQ17_spl
| sQ12_spl
| sQ7_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f167,f1402,f1418,f1434,f1450,f1466]) ).
fof(f1817,plain,
( sQ102_spl
| sQ77_spl
| sQ52_spl
| sQ27_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f168,f1402,f1482,f1562,f1642,f1722]) ).
fof(f1818,plain,
( sQ23_spl
| sQ18_spl
| sQ13_spl
| sQ8_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f169,f1405,f1421,f1437,f1453,f1469]) ).
fof(f1819,plain,
( sQ103_spl
| sQ78_spl
| sQ53_spl
| sQ28_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f170,f1405,f1485,f1565,f1645,f1725]) ).
fof(f1820,plain,
( sQ24_spl
| sQ19_spl
| sQ14_spl
| sQ9_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f171,f1408,f1424,f1440,f1456,f1472]) ).
fof(f1821,plain,
( sQ104_spl
| sQ79_spl
| sQ54_spl
| sQ29_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f172,f1408,f1488,f1568,f1648,f1728]) ).
fof(f1822,plain,
( sQ45_spl
| sQ40_spl
| sQ35_spl
| sQ30_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f173,f1476,f1492,f1508,f1524,f1540]) ).
fof(f1823,plain,
( sQ105_spl
| sQ80_spl
| sQ55_spl
| sQ30_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f174,f1412,f1492,f1572,f1652,f1732]) ).
fof(f1824,plain,
( sQ46_spl
| sQ41_spl
| sQ36_spl
| sQ31_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f175,f1479,f1495,f1511,f1527,f1543]) ).
fof(f1826,plain,
( sQ47_spl
| sQ42_spl
| sQ37_spl
| sQ32_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f177,f1482,f1498,f1514,f1530,f1546]) ).
fof(f1827,plain,
( sQ107_spl
| sQ82_spl
| sQ57_spl
| sQ32_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f178,f1418,f1498,f1578,f1658,f1738]) ).
fof(f1828,plain,
( sQ48_spl
| sQ43_spl
| sQ38_spl
| sQ33_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f179,f1485,f1501,f1517,f1533,f1549]) ).
fof(f1829,plain,
( sQ108_spl
| sQ83_spl
| sQ58_spl
| sQ33_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f180,f1421,f1501,f1581,f1661,f1741]) ).
fof(f1830,plain,
( sQ49_spl
| sQ44_spl
| sQ39_spl
| sQ34_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f181,f1488,f1504,f1520,f1536,f1552]) ).
fof(f1831,plain,
( sQ109_spl
| sQ84_spl
| sQ59_spl
| sQ34_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f182,f1424,f1504,f1584,f1664,f1744]) ).
fof(f1832,plain,
( sQ70_spl
| sQ65_spl
| sQ60_spl
| sQ55_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f183,f1556,f1572,f1588,f1604,f1620]) ).
fof(f1833,plain,
( sQ110_spl
| sQ85_spl
| sQ60_spl
| sQ35_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f184,f1428,f1508,f1588,f1668,f1748]) ).
fof(f1834,plain,
( sQ71_spl
| sQ66_spl
| sQ61_spl
| sQ56_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f185,f1559,f1575,f1591,f1607,f1623]) ).
fof(f1835,plain,
( sQ111_spl
| sQ86_spl
| sQ61_spl
| sQ36_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f186,f1431,f1511,f1591,f1671,f1751]) ).
fof(f1836,plain,
( sQ72_spl
| sQ67_spl
| sQ62_spl
| sQ57_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f187,f1562,f1578,f1594,f1610,f1626]) ).
fof(f1838,plain,
( sQ73_spl
| sQ68_spl
| sQ63_spl
| sQ58_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f189,f1565,f1581,f1597,f1613,f1629]) ).
fof(f1839,plain,
( sQ113_spl
| sQ88_spl
| sQ63_spl
| sQ38_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f190,f1437,f1517,f1597,f1677,f1757]) ).
fof(f1840,plain,
( sQ74_spl
| sQ69_spl
| sQ64_spl
| sQ59_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f191,f1568,f1584,f1600,f1616,f1632]) ).
fof(f1841,plain,
( sQ114_spl
| sQ89_spl
| sQ64_spl
| sQ39_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f192,f1440,f1520,f1600,f1680,f1760]) ).
fof(f1842,plain,
( sQ95_spl
| sQ90_spl
| sQ85_spl
| sQ80_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f193,f1636,f1652,f1668,f1684,f1700]) ).
fof(f1843,plain,
( sQ115_spl
| sQ90_spl
| sQ65_spl
| sQ40_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f194,f1444,f1524,f1604,f1684,f1764]) ).
fof(f1844,plain,
( sQ96_spl
| sQ91_spl
| sQ86_spl
| sQ81_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f195,f1639,f1655,f1671,f1687,f1703]) ).
fof(f1845,plain,
( sQ116_spl
| sQ91_spl
| sQ66_spl
| sQ41_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f196,f1447,f1527,f1607,f1687,f1767]) ).
fof(f1846,plain,
( sQ97_spl
| sQ92_spl
| sQ87_spl
| sQ82_spl
| sQ77_spl ),
inference(split_clause,[status(thm)],[f197,f1642,f1658,f1674,f1690,f1706]) ).
fof(f1847,plain,
( sQ117_spl
| sQ92_spl
| sQ67_spl
| sQ42_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f198,f1450,f1530,f1610,f1690,f1770]) ).
fof(f1850,plain,
( sQ99_spl
| sQ94_spl
| sQ89_spl
| sQ84_spl
| sQ79_spl ),
inference(split_clause,[status(thm)],[f201,f1648,f1664,f1680,f1696,f1712]) ).
fof(f1851,plain,
( sQ119_spl
| sQ94_spl
| sQ69_spl
| sQ44_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f202,f1456,f1536,f1616,f1696,f1776]) ).
fof(f1852,plain,
( sQ120_spl
| sQ115_spl
| sQ110_spl
| sQ105_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f203,f1716,f1732,f1748,f1764,f1780]) ).
fof(f1853,plain,
( sQ120_spl
| sQ95_spl
| sQ70_spl
| sQ45_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f204,f1460,f1540,f1620,f1700,f1780]) ).
fof(f1854,plain,
( sQ121_spl
| sQ116_spl
| sQ111_spl
| sQ106_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f205,f1719,f1735,f1751,f1767,f1783]) ).
fof(f1855,plain,
( sQ121_spl
| sQ96_spl
| sQ71_spl
| sQ46_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f206,f1463,f1543,f1623,f1703,f1783]) ).
fof(f1856,plain,
( sQ122_spl
| sQ117_spl
| sQ112_spl
| sQ107_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f207,f1722,f1738,f1754,f1770,f1786]) ).
fof(f1857,plain,
( sQ122_spl
| sQ97_spl
| sQ72_spl
| sQ47_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f208,f1466,f1546,f1626,f1706,f1786]) ).
fof(f1858,plain,
( sQ123_spl
| sQ118_spl
| sQ113_spl
| sQ108_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f209,f1725,f1741,f1757,f1773,f1789]) ).
fof(f1859,plain,
( sQ123_spl
| sQ98_spl
| sQ73_spl
| sQ48_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f210,f1469,f1549,f1629,f1709,f1789]) ).
fof(f1860,plain,
( sQ124_spl
| sQ119_spl
| sQ114_spl
| sQ109_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f211,f1728,f1744,f1760,f1776,f1792]) ).
fof(f1862,definition,
( sQ130_spl
<=> sP0_prd ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f1865,plain,
( sQ20_spl
| ~ sQ4_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f325,f1862,f1408,f1460]) ).
fof(f1866,plain,
( ~ sQ129_spl
| ~ sQ4_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f326,f1862,f1408,f1808]) ).
fof(f1867,plain,
( sQ21_spl
| ~ sQ9_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f327,f1862,f1424,f1463]) ).
fof(f1868,plain,
( ~ sQ129_spl
| ~ sQ9_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f328,f1862,f1424,f1808]) ).
fof(f1869,plain,
( sQ22_spl
| ~ sQ14_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f329,f1862,f1440,f1466]) ).
fof(f1870,plain,
( ~ sQ129_spl
| ~ sQ14_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f330,f1862,f1440,f1808]) ).
fof(f1871,plain,
( sQ23_spl
| ~ sQ19_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f331,f1862,f1456,f1469]) ).
fof(f1872,plain,
( ~ sQ129_spl
| ~ sQ19_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f332,f1862,f1456,f1808]) ).
fof(f1875,plain,
( sQ45_spl
| ~ sQ29_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f335,f1862,f1488,f1540]) ).
fof(f1877,plain,
( sQ46_spl
| ~ sQ34_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f337,f1862,f1504,f1543]) ).
fof(f1879,plain,
( sQ47_spl
| ~ sQ39_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f339,f1862,f1520,f1546]) ).
fof(f1881,plain,
( sQ48_spl
| ~ sQ44_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f341,f1862,f1536,f1549]) ).
fof(f1885,plain,
( sQ70_spl
| ~ sQ54_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f345,f1862,f1568,f1620]) ).
fof(f1887,plain,
( sQ71_spl
| ~ sQ59_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f347,f1862,f1584,f1623]) ).
fof(f1889,plain,
( sQ72_spl
| ~ sQ64_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f349,f1862,f1600,f1626]) ).
fof(f1891,plain,
( sQ73_spl
| ~ sQ69_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f351,f1862,f1616,f1629]) ).
fof(f1895,plain,
( sQ95_spl
| ~ sQ79_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f355,f1862,f1648,f1700]) ).
fof(f1897,plain,
( sQ96_spl
| ~ sQ84_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f357,f1862,f1664,f1703]) ).
fof(f1899,plain,
( sQ97_spl
| ~ sQ89_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f359,f1862,f1680,f1706]) ).
fof(f1901,plain,
( sQ98_spl
| ~ sQ94_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f361,f1862,f1696,f1709]) ).
fof(f1905,plain,
( sQ120_spl
| ~ sQ104_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f365,f1862,f1728,f1780]) ).
fof(f1907,plain,
( sQ121_spl
| ~ sQ109_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f367,f1862,f1744,f1783]) ).
fof(f1909,plain,
( sQ122_spl
| ~ sQ114_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f369,f1862,f1760,f1786]) ).
fof(f1911,plain,
( sQ123_spl
| ~ sQ119_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f371,f1862,f1776,f1789]) ).
fof(f1915,definition,
( sQ131_spl
<=> e0 = op(op(op(e2,e2),e2),op(op(e2,e2),e2)) ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f1917,plain,
( sQ131_spl
| e0 != op(op(op(e2,e2),e2),op(op(e2,e2),e2)) ),
inference(component_clause,[status(thm)],[f1915]) ).
fof(f1918,definition,
( sQ132_spl
<=> e1 = op(op(e2,e2),e2) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f1919,plain,
( ~ sQ132_spl
| e1 = op(op(e2,e2),e2) ),
inference(component_clause,[status(thm)],[f1918]) ).
fof(f1920,plain,
( sQ132_spl
| e1 != op(op(e2,e2),e2) ),
inference(component_clause,[status(thm)],[f1918]) ).
fof(f1921,definition,
( sQ133_spl
<=> e4 = op(op(e2,e2),op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f1923,plain,
( sQ133_spl
| e4 != op(op(e2,e2),op(e2,e2)) ),
inference(component_clause,[status(thm)],[f1921]) ).
fof(f1924,plain,
( ~ sQ133_spl
| ~ sQ63_spl
| ~ sQ132_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f376,f1915,f1918,f1597,f1921]) ).
fof(f1925,definition,
( sQ134_spl
<=> e3 = op(op(e2,e2),op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f1927,plain,
( sQ134_spl
| e3 != op(op(e2,e2),op(e2,e2)) ),
inference(component_clause,[status(thm)],[f1925]) ).
fof(f1928,plain,
( ~ sQ134_spl
| ~ sQ64_spl
| ~ sQ132_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f378,f1915,f1918,f1600,f1925]) ).
fof(f1929,definition,
( sQ135_spl
<=> e0 = op(op(op(e3,e3),e3),op(op(e3,e3),e3)) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f1931,plain,
( sQ135_spl
| e0 != op(op(op(e3,e3),e3),op(op(e3,e3),e3)) ),
inference(component_clause,[status(thm)],[f1929]) ).
fof(f1932,definition,
( sQ136_spl
<=> e1 = op(op(e3,e3),e3) ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f1933,plain,
( ~ sQ136_spl
| e1 = op(op(e3,e3),e3) ),
inference(component_clause,[status(thm)],[f1932]) ).
fof(f1934,plain,
( sQ136_spl
| e1 != op(op(e3,e3),e3) ),
inference(component_clause,[status(thm)],[f1932]) ).
fof(f1935,definition,
( sQ137_spl
<=> e4 = op(op(e3,e3),op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f1937,plain,
( sQ137_spl
| e4 != op(op(e3,e3),op(e3,e3)) ),
inference(component_clause,[status(thm)],[f1935]) ).
fof(f1939,definition,
( sQ138_spl
<=> e2 = op(op(e3,e3),op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f1941,plain,
( sQ138_spl
| e2 != op(op(e3,e3),op(e3,e3)) ),
inference(component_clause,[status(thm)],[f1939]) ).
fof(f1943,definition,
( sQ139_spl
<=> e0 = op(op(op(e4,e4),e4),op(op(e4,e4),e4)) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f1945,plain,
( sQ139_spl
| e0 != op(op(op(e4,e4),e4),op(op(e4,e4),e4)) ),
inference(component_clause,[status(thm)],[f1943]) ).
fof(f1946,definition,
( sQ140_spl
<=> e1 = op(op(e4,e4),e4) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f1948,plain,
( sQ140_spl
| e1 != op(op(e4,e4),e4) ),
inference(component_clause,[status(thm)],[f1946]) ).
fof(f1949,definition,
( sQ141_spl
<=> e3 = op(op(e4,e4),op(e4,e4)) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f1951,plain,
( sQ141_spl
| e3 != op(op(e4,e4),op(e4,e4)) ),
inference(component_clause,[status(thm)],[f1949]) ).
fof(f1953,definition,
( sQ142_spl
<=> e2 = op(op(e4,e4),op(e4,e4)) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f1955,plain,
( sQ142_spl
| e2 != op(op(e4,e4),op(e4,e4)) ),
inference(component_clause,[status(thm)],[f1953]) ).
fof(f1957,definition,
( sQ143_spl
<=> e0 = op(op(op(e1,e1),e1),op(op(e1,e1),e1)) ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f1959,plain,
( sQ143_spl
| e0 != op(op(op(e1,e1),e1),op(op(e1,e1),e1)) ),
inference(component_clause,[status(thm)],[f1957]) ).
fof(f1960,definition,
( sQ144_spl
<=> e2 = op(op(e1,e1),e1) ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f1962,plain,
( sQ144_spl
| e2 != op(op(e1,e1),e1) ),
inference(component_clause,[status(thm)],[f1960]) ).
fof(f1963,definition,
( sQ145_spl
<=> e4 = op(op(e1,e1),op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f1965,plain,
( sQ145_spl
| e4 != op(op(e1,e1),op(e1,e1)) ),
inference(component_clause,[status(thm)],[f1963]) ).
fof(f1966,plain,
( ~ sQ145_spl
| ~ sQ33_spl
| ~ sQ144_spl
| ~ sQ143_spl ),
inference(split_clause,[status(thm)],[f388,f1957,f1960,f1501,f1963]) ).
fof(f1967,definition,
( sQ146_spl
<=> e3 = op(op(e1,e1),op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f1969,plain,
( sQ146_spl
| e3 != op(op(e1,e1),op(e1,e1)) ),
inference(component_clause,[status(thm)],[f1967]) ).
fof(f1971,definition,
( sQ147_spl
<=> e2 = op(op(e3,e3),e3) ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f1973,plain,
( sQ147_spl
| e2 != op(op(e3,e3),e3) ),
inference(component_clause,[status(thm)],[f1971]) ).
fof(f1975,definition,
( sQ148_spl
<=> e1 = op(op(e3,e3),op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f1977,plain,
( sQ148_spl
| e1 != op(op(e3,e3),op(e3,e3)) ),
inference(component_clause,[status(thm)],[f1975]) ).
fof(f1979,definition,
( sQ149_spl
<=> e2 = op(op(e4,e4),e4) ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f1980,plain,
( ~ sQ149_spl
| e2 = op(op(e4,e4),e4) ),
inference(component_clause,[status(thm)],[f1979]) ).
fof(f1981,plain,
( sQ149_spl
| e2 != op(op(e4,e4),e4) ),
inference(component_clause,[status(thm)],[f1979]) ).
fof(f1983,definition,
( sQ150_spl
<=> e1 = op(op(e4,e4),op(e4,e4)) ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f1985,plain,
( sQ150_spl
| e1 != op(op(e4,e4),op(e4,e4)) ),
inference(component_clause,[status(thm)],[f1983]) ).
fof(f1986,plain,
( ~ sQ150_spl
| ~ sQ123_spl
| ~ sQ149_spl
| ~ sQ139_spl ),
inference(split_clause,[status(thm)],[f398,f1943,f1979,f1789,f1983]) ).
fof(f1987,definition,
( sQ151_spl
<=> e3 = op(op(e1,e1),e1) ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f1988,plain,
( ~ sQ151_spl
| e3 = op(op(e1,e1),e1) ),
inference(component_clause,[status(thm)],[f1987]) ).
fof(f1989,plain,
( sQ151_spl
| e3 != op(op(e1,e1),e1) ),
inference(component_clause,[status(thm)],[f1987]) ).
fof(f1990,plain,
( ~ sQ145_spl
| ~ sQ32_spl
| ~ sQ151_spl
| ~ sQ143_spl ),
inference(split_clause,[status(thm)],[f400,f1957,f1987,f1498,f1963]) ).
fof(f1991,definition,
( sQ152_spl
<=> e2 = op(op(e1,e1),op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f1993,plain,
( sQ152_spl
| e2 != op(op(e1,e1),op(e1,e1)) ),
inference(component_clause,[status(thm)],[f1991]) ).
fof(f1994,plain,
( ~ sQ152_spl
| ~ sQ34_spl
| ~ sQ151_spl
| ~ sQ143_spl ),
inference(split_clause,[status(thm)],[f402,f1957,f1987,f1504,f1991]) ).
fof(f1995,definition,
( sQ153_spl
<=> e3 = op(op(e2,e2),e2) ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f1996,plain,
( ~ sQ153_spl
| e3 = op(op(e2,e2),e2) ),
inference(component_clause,[status(thm)],[f1995]) ).
fof(f1997,plain,
( sQ153_spl
| e3 != op(op(e2,e2),e2) ),
inference(component_clause,[status(thm)],[f1995]) ).
fof(f2003,definition,
( sQ155_spl
<=> e3 = op(op(e4,e4),e4) ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f2004,plain,
( ~ sQ155_spl
| e3 = op(op(e4,e4),e4) ),
inference(component_clause,[status(thm)],[f2003]) ).
fof(f2005,plain,
( sQ155_spl
| e3 != op(op(e4,e4),e4) ),
inference(component_clause,[status(thm)],[f2003]) ).
fof(f2008,definition,
( sQ156_spl
<=> e4 = op(op(e1,e1),e1) ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f2009,plain,
( ~ sQ156_spl
| e4 = op(op(e1,e1),e1) ),
inference(component_clause,[status(thm)],[f2008]) ).
fof(f2010,plain,
( sQ156_spl
| e4 != op(op(e1,e1),e1) ),
inference(component_clause,[status(thm)],[f2008]) ).
fof(f2013,definition,
( sQ157_spl
<=> e4 = op(op(e2,e2),e2) ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f2015,plain,
( sQ157_spl
| e4 != op(op(e2,e2),e2) ),
inference(component_clause,[status(thm)],[f2013]) ).
fof(f2018,definition,
( sQ158_spl
<=> e4 = op(op(e3,e3),e3) ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f2019,plain,
( ~ sQ158_spl
| e4 = op(op(e3,e3),e3) ),
inference(component_clause,[status(thm)],[f2018]) ).
fof(f2020,plain,
( sQ158_spl
| e4 != op(op(e3,e3),e3) ),
inference(component_clause,[status(thm)],[f2018]) ).
fof(f2021,plain,
( ~ sQ138_spl
| ~ sQ91_spl
| ~ sQ158_spl
| ~ sQ135_spl ),
inference(split_clause,[status(thm)],[f420,f1929,f2018,f1687,f1939]) ).
fof(f2022,plain,
( ~ sQ148_spl
| ~ sQ92_spl
| ~ sQ158_spl
| ~ sQ135_spl ),
inference(split_clause,[status(thm)],[f422,f1929,f2018,f1690,f1975]) ).
fof(f2023,definition,
( sQ159_spl
<=> e1 = op(op(op(e2,e2),e2),op(op(e2,e2),e2)) ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f2025,plain,
( sQ159_spl
| e1 != op(op(op(e2,e2),e2),op(op(e2,e2),e2)) ),
inference(component_clause,[status(thm)],[f2023]) ).
fof(f2026,definition,
( sQ160_spl
<=> e0 = op(op(e2,e2),e2) ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f2028,plain,
( sQ160_spl
| e0 != op(op(e2,e2),e2) ),
inference(component_clause,[status(thm)],[f2026]) ).
fof(f2031,definition,
( sQ161_spl
<=> e1 = op(op(op(e3,e3),e3),op(op(e3,e3),e3)) ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f2033,plain,
( sQ161_spl
| e1 != op(op(op(e3,e3),e3),op(op(e3,e3),e3)) ),
inference(component_clause,[status(thm)],[f2031]) ).
fof(f2034,definition,
( sQ162_spl
<=> e0 = op(op(e3,e3),e3) ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f2035,plain,
( ~ sQ162_spl
| e0 = op(op(e3,e3),e3) ),
inference(component_clause,[status(thm)],[f2034]) ).
fof(f2036,plain,
( sQ162_spl
| e0 != op(op(e3,e3),e3) ),
inference(component_clause,[status(thm)],[f2034]) ).
fof(f2037,plain,
( ~ sQ137_spl
| ~ sQ92_spl
| ~ sQ162_spl
| ~ sQ161_spl ),
inference(split_clause,[status(thm)],[f428,f2031,f2034,f1690,f1935]) ).
fof(f2038,plain,
( ~ sQ138_spl
| ~ sQ94_spl
| ~ sQ162_spl
| ~ sQ161_spl ),
inference(split_clause,[status(thm)],[f430,f2031,f2034,f1696,f1939]) ).
fof(f2039,definition,
( sQ163_spl
<=> e1 = op(op(op(e4,e4),e4),op(op(e4,e4),e4)) ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f2041,plain,
( sQ163_spl
| e1 != op(op(op(e4,e4),e4),op(op(e4,e4),e4)) ),
inference(component_clause,[status(thm)],[f2039]) ).
fof(f2050,definition,
( sQ166_spl
<=> e2 = op(op(e0,e0),e0) ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f2051,plain,
( ~ sQ166_spl
| e2 = op(op(e0,e0),e0) ),
inference(component_clause,[status(thm)],[f2050]) ).
fof(f2052,plain,
( sQ166_spl
| e2 != op(op(e0,e0),e0) ),
inference(component_clause,[status(thm)],[f2050]) ).
fof(f2053,definition,
( sQ167_spl
<=> e4 = op(op(e0,e0),op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f2055,plain,
( sQ167_spl
| e4 != op(op(e0,e0),op(e0,e0)) ),
inference(component_clause,[status(thm)],[f2053]) ).
fof(f2057,definition,
( sQ168_spl
<=> e3 = op(op(e0,e0),op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f2059,plain,
( sQ168_spl
| e3 != op(op(e0,e0),op(e0,e0)) ),
inference(component_clause,[status(thm)],[f2057]) ).
fof(f2061,plain,
( ~ sQ137_spl
| ~ sQ90_spl
| ~ sQ147_spl
| ~ sQ161_spl ),
inference(split_clause,[status(thm)],[f440,f2031,f1971,f1684,f1935]) ).
fof(f2062,definition,
( sQ169_spl
<=> e0 = op(op(e3,e3),op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f2064,plain,
( sQ169_spl
| e0 != op(op(e3,e3),op(e3,e3)) ),
inference(component_clause,[status(thm)],[f2062]) ).
fof(f2066,plain,
( ~ sQ141_spl
| ~ sQ120_spl
| ~ sQ149_spl
| ~ sQ163_spl ),
inference(split_clause,[status(thm)],[f444,f2039,f1979,f1780,f1949]) ).
fof(f2067,definition,
( sQ170_spl
<=> e0 = op(op(e4,e4),op(e4,e4)) ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f2069,plain,
( sQ170_spl
| e0 != op(op(e4,e4),op(e4,e4)) ),
inference(component_clause,[status(thm)],[f2067]) ).
fof(f2070,plain,
( ~ sQ170_spl
| ~ sQ123_spl
| ~ sQ149_spl
| ~ sQ163_spl ),
inference(split_clause,[status(thm)],[f446,f2039,f1979,f1789,f2067]) ).
fof(f2071,definition,
( sQ171_spl
<=> e3 = op(op(e0,e0),e0) ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f2072,plain,
( ~ sQ171_spl
| e3 = op(op(e0,e0),e0) ),
inference(component_clause,[status(thm)],[f2071]) ).
fof(f2073,plain,
( sQ171_spl
| e3 != op(op(e0,e0),e0) ),
inference(component_clause,[status(thm)],[f2071]) ).
fof(f2075,definition,
( sQ172_spl
<=> e2 = op(op(e0,e0),op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f2077,plain,
( sQ172_spl
| e2 != op(op(e0,e0),op(e0,e0)) ),
inference(component_clause,[status(thm)],[f2075]) ).
fof(f2079,plain,
( ~ sQ133_spl
| ~ sQ60_spl
| ~ sQ153_spl
| ~ sQ159_spl ),
inference(split_clause,[status(thm)],[f452,f2023,f1995,f1588,f1921]) ).
fof(f2080,definition,
( sQ173_spl
<=> e0 = op(op(e2,e2),op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f2082,plain,
( sQ173_spl
| e0 != op(op(e2,e2),op(e2,e2)) ),
inference(component_clause,[status(thm)],[f2080]) ).
fof(f2084,plain,
( ~ sQ142_spl
| ~ sQ120_spl
| ~ sQ155_spl
| ~ sQ163_spl ),
inference(split_clause,[status(thm)],[f456,f2039,f2003,f1780,f1953]) ).
fof(f2086,definition,
( sQ174_spl
<=> e4 = op(op(e0,e0),e0) ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f2088,plain,
( sQ174_spl
| e4 != op(op(e0,e0),e0) ),
inference(component_clause,[status(thm)],[f2086]) ).
fof(f2093,plain,
( ~ sQ138_spl
| ~ sQ90_spl
| ~ sQ158_spl
| ~ sQ161_spl ),
inference(split_clause,[status(thm)],[f468,f2031,f2018,f1684,f1939]) ).
fof(f2094,plain,
( ~ sQ169_spl
| ~ sQ92_spl
| ~ sQ158_spl
| ~ sQ161_spl ),
inference(split_clause,[status(thm)],[f470,f2031,f2018,f1690,f2062]) ).
fof(f2095,definition,
( sQ175_spl
<=> e2 = op(op(op(e1,e1),e1),op(op(e1,e1),e1)) ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f2097,plain,
( sQ175_spl
| e2 != op(op(op(e1,e1),e1),op(op(e1,e1),e1)) ),
inference(component_clause,[status(thm)],[f2095]) ).
fof(f2098,definition,
( sQ176_spl
<=> e0 = op(op(e1,e1),e1) ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f2100,plain,
( sQ176_spl
| e0 != op(op(e1,e1),e1) ),
inference(component_clause,[status(thm)],[f2098]) ).
fof(f2102,plain,
( ~ sQ146_spl
| ~ sQ34_spl
| ~ sQ176_spl
| ~ sQ175_spl ),
inference(split_clause,[status(thm)],[f474,f2095,f2098,f1504,f1967]) ).
fof(f2103,definition,
( sQ177_spl
<=> e2 = op(op(op(e3,e3),e3),op(op(e3,e3),e3)) ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f2105,plain,
( sQ177_spl
| e2 != op(op(op(e3,e3),e3),op(op(e3,e3),e3)) ),
inference(component_clause,[status(thm)],[f2103]) ).
fof(f2107,plain,
( ~ sQ148_spl
| ~ sQ94_spl
| ~ sQ162_spl
| ~ sQ177_spl ),
inference(split_clause,[status(thm)],[f478,f2103,f2034,f1696,f1975]) ).
fof(f2108,definition,
( sQ178_spl
<=> e2 = op(op(op(e4,e4),e4),op(op(e4,e4),e4)) ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f2110,plain,
( sQ178_spl
| e2 != op(op(op(e4,e4),e4),op(op(e4,e4),e4)) ),
inference(component_clause,[status(thm)],[f2108]) ).
fof(f2113,definition,
( sQ179_spl
<=> e2 = op(op(op(e0,e0),e0),op(op(e0,e0),e0)) ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f2115,plain,
( sQ179_spl
| e2 != op(op(op(e0,e0),e0),op(op(e0,e0),e0)) ),
inference(component_clause,[status(thm)],[f2113]) ).
fof(f2116,definition,
( sQ180_spl
<=> e1 = op(op(e0,e0),e0) ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f2118,plain,
( sQ180_spl
| e1 != op(op(e0,e0),e0) ),
inference(component_clause,[status(thm)],[f2116]) ).
fof(f2120,plain,
( ~ sQ168_spl
| ~ sQ4_spl
| ~ sQ180_spl
| ~ sQ179_spl ),
inference(split_clause,[status(thm)],[f486,f2113,f2116,f1408,f2057]) ).
fof(f2121,plain,
( ~ sQ137_spl
| ~ sQ90_spl
| ~ sQ136_spl
| ~ sQ177_spl ),
inference(split_clause,[status(thm)],[f488,f2103,f1932,f1684,f1935]) ).
fof(f2122,plain,
( ~ sQ169_spl
| ~ sQ94_spl
| ~ sQ136_spl
| ~ sQ177_spl ),
inference(split_clause,[status(thm)],[f490,f2103,f1932,f1696,f2062]) ).
fof(f2123,plain,
( ~ sQ141_spl
| ~ sQ120_spl
| ~ sQ140_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f492,f2108,f1946,f1780,f1949]) ).
fof(f2126,definition,
( sQ181_spl
<=> e1 = op(op(e0,e0),op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f2128,plain,
( sQ181_spl
| e1 != op(op(e0,e0),op(e0,e0)) ),
inference(component_clause,[status(thm)],[f2126]) ).
fof(f2130,plain,
( ~ sQ145_spl
| ~ sQ30_spl
| ~ sQ151_spl
| ~ sQ175_spl ),
inference(split_clause,[status(thm)],[f500,f2095,f1987,f1492,f1963]) ).
fof(f2131,definition,
( sQ182_spl
<=> e0 = op(op(e1,e1),op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f2132,plain,
( ~ sQ182_spl
| e0 = op(op(e1,e1),op(e1,e1)) ),
inference(component_clause,[status(thm)],[f2131]) ).
fof(f2133,plain,
( sQ182_spl
| e0 != op(op(e1,e1),op(e1,e1)) ),
inference(component_clause,[status(thm)],[f2131]) ).
fof(f2135,plain,
( ~ sQ150_spl
| ~ sQ120_spl
| ~ sQ155_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f504,f2108,f2003,f1780,f1983]) ).
fof(f2139,plain,
( ~ sQ146_spl
| ~ sQ30_spl
| ~ sQ156_spl
| ~ sQ175_spl ),
inference(split_clause,[status(thm)],[f512,f2095,f2008,f1492,f1967]) ).
fof(f2140,plain,
( ~ sQ182_spl
| ~ sQ33_spl
| ~ sQ156_spl
| ~ sQ175_spl ),
inference(split_clause,[status(thm)],[f514,f2095,f2008,f1501,f2131]) ).
fof(f2141,plain,
( ~ sQ148_spl
| ~ sQ90_spl
| ~ sQ158_spl
| ~ sQ177_spl ),
inference(split_clause,[status(thm)],[f516,f2103,f2018,f1684,f1975]) ).
fof(f2143,definition,
( sQ183_spl
<=> e3 = op(op(op(e1,e1),e1),op(op(e1,e1),e1)) ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f2145,plain,
( sQ183_spl
| e3 != op(op(op(e1,e1),e1),op(op(e1,e1),e1)) ),
inference(component_clause,[status(thm)],[f2143]) ).
fof(f2146,plain,
( ~ sQ145_spl
| ~ sQ32_spl
| ~ sQ176_spl
| ~ sQ183_spl ),
inference(split_clause,[status(thm)],[f520,f2143,f2098,f1498,f1963]) ).
fof(f2148,definition,
( sQ184_spl
<=> e3 = op(op(op(e2,e2),e2),op(op(e2,e2),e2)) ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f2150,plain,
( sQ184_spl
| e3 != op(op(op(e2,e2),e2),op(op(e2,e2),e2)) ),
inference(component_clause,[status(thm)],[f2148]) ).
fof(f2151,plain,
( ~ sQ133_spl
| ~ sQ61_spl
| ~ sQ160_spl
| ~ sQ184_spl ),
inference(split_clause,[status(thm)],[f524,f2148,f2026,f1591,f1921]) ).
fof(f2153,definition,
( sQ185_spl
<=> e3 = op(op(op(e4,e4),e4),op(op(e4,e4),e4)) ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f2155,plain,
( sQ185_spl
| e3 != op(op(op(e4,e4),e4),op(op(e4,e4),e4)) ),
inference(component_clause,[status(thm)],[f2153]) ).
fof(f2158,definition,
( sQ186_spl
<=> e3 = op(op(op(e0,e0),e0),op(op(e0,e0),e0)) ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f2160,plain,
( sQ186_spl
| e3 != op(op(op(e0,e0),e0),op(op(e0,e0),e0)) ),
inference(component_clause,[status(thm)],[f2158]) ).
fof(f2163,plain,
( ~ sQ133_spl
| ~ sQ60_spl
| ~ sQ132_spl
| ~ sQ184_spl ),
inference(split_clause,[status(thm)],[f536,f2148,f1918,f1588,f1921]) ).
fof(f2165,plain,
( ~ sQ142_spl
| ~ sQ120_spl
| ~ sQ140_spl
| ~ sQ185_spl ),
inference(split_clause,[status(thm)],[f540,f2153,f1946,f1780,f1953]) ).
fof(f2167,plain,
( ~ sQ167_spl
| ~ sQ1_spl
| ~ sQ166_spl
| ~ sQ186_spl ),
inference(split_clause,[status(thm)],[f544,f2158,f2050,f1399,f2053]) ).
fof(f2169,plain,
( ~ sQ145_spl
| ~ sQ30_spl
| ~ sQ144_spl
| ~ sQ183_spl ),
inference(split_clause,[status(thm)],[f548,f2143,f1960,f1492,f1963]) ).
fof(f2171,plain,
( ~ sQ150_spl
| ~ sQ120_spl
| ~ sQ149_spl
| ~ sQ185_spl ),
inference(split_clause,[status(thm)],[f552,f2153,f1979,f1780,f1983]) ).
fof(f2172,plain,
( ~ sQ170_spl
| ~ sQ121_spl
| ~ sQ149_spl
| ~ sQ185_spl ),
inference(split_clause,[status(thm)],[f554,f2153,f1979,f1783,f2067]) ).
fof(f2173,plain,
( ~ sQ172_spl
| ~ sQ1_spl
| ~ sQ174_spl
| ~ sQ186_spl ),
inference(split_clause,[status(thm)],[f556,f2158,f2086,f1399,f2075]) ).
fof(f2178,plain,
( ~ sQ173_spl
| ~ sQ61_spl
| ~ sQ157_spl
| ~ sQ184_spl ),
inference(split_clause,[status(thm)],[f566,f2148,f2013,f1591,f2080]) ).
fof(f2179,definition,
( sQ187_spl
<=> e4 = op(op(op(e1,e1),e1),op(op(e1,e1),e1)) ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f2181,plain,
( sQ187_spl
| e4 != op(op(op(e1,e1),e1),op(op(e1,e1),e1)) ),
inference(component_clause,[status(thm)],[f2179]) ).
fof(f2182,plain,
( ~ sQ146_spl
| ~ sQ32_spl
| ~ sQ176_spl
| ~ sQ187_spl ),
inference(split_clause,[status(thm)],[f568,f2179,f2098,f1498,f1967]) ).
fof(f2184,definition,
( sQ188_spl
<=> e4 = op(op(op(e2,e2),e2),op(op(e2,e2),e2)) ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f2186,plain,
( sQ188_spl
| e4 != op(op(op(e2,e2),e2),op(op(e2,e2),e2)) ),
inference(component_clause,[status(thm)],[f2184]) ).
fof(f2189,definition,
( sQ189_spl
<=> e4 = op(op(op(e3,e3),e3),op(op(e3,e3),e3)) ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f2191,plain,
( sQ189_spl
| e4 != op(op(op(e3,e3),e3),op(op(e3,e3),e3)) ),
inference(component_clause,[status(thm)],[f2189]) ).
fof(f2193,plain,
( ~ sQ148_spl
| ~ sQ92_spl
| ~ sQ162_spl
| ~ sQ189_spl ),
inference(split_clause,[status(thm)],[f578,f2189,f2034,f1690,f1975]) ).
fof(f2194,definition,
( sQ190_spl
<=> e4 = op(op(op(e0,e0),e0),op(op(e0,e0),e0)) ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f2196,plain,
( sQ190_spl
| e4 != op(op(op(e0,e0),e0),op(op(e0,e0),e0)) ),
inference(component_clause,[status(thm)],[f2194]) ).
fof(f2200,plain,
( ~ sQ173_spl
| ~ sQ63_spl
| ~ sQ132_spl
| ~ sQ188_spl ),
inference(split_clause,[status(thm)],[f586,f2184,f1918,f1597,f2080]) ).
fof(f2201,plain,
( ~ sQ138_spl
| ~ sQ90_spl
| ~ sQ136_spl
| ~ sQ189_spl ),
inference(split_clause,[status(thm)],[f588,f2189,f1932,f1684,f1939]) ).
fof(f2202,plain,
( ~ sQ169_spl
| ~ sQ92_spl
| ~ sQ136_spl
| ~ sQ189_spl ),
inference(split_clause,[status(thm)],[f590,f2189,f1932,f1690,f2062]) ).
fof(f2203,plain,
( ~ sQ168_spl
| ~ sQ1_spl
| ~ sQ166_spl
| ~ sQ190_spl ),
inference(split_clause,[status(thm)],[f592,f2194,f2050,f1399,f2057]) ).
fof(f2204,plain,
( ~ sQ181_spl
| ~ sQ3_spl
| ~ sQ166_spl
| ~ sQ190_spl ),
inference(split_clause,[status(thm)],[f594,f2194,f2050,f1405,f2126]) ).
fof(f2207,plain,
( ~ sQ148_spl
| ~ sQ90_spl
| ~ sQ147_spl
| ~ sQ189_spl ),
inference(split_clause,[status(thm)],[f600,f2189,f1971,f1684,f1975]) ).
fof(f2209,plain,
( ~ sQ172_spl
| ~ sQ1_spl
| ~ sQ171_spl
| ~ sQ190_spl ),
inference(split_clause,[status(thm)],[f604,f2194,f2071,f1399,f2075]) ).
fof(f2211,plain,
( ~ sQ152_spl
| ~ sQ30_spl
| ~ sQ151_spl
| ~ sQ187_spl ),
inference(split_clause,[status(thm)],[f608,f2179,f1987,f1492,f1991]) ).
fof(f2215,definition,
( sQ191_spl
<=> sP1_prd ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f2218,definition,
( sQ192_spl
<=> sP2_prd ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f2221,plain,
( sQ192_spl
| sQ191_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f620,f1862,f2215,f2218]) ).
fof(f2222,plain,
( sQ119_spl
| ~ sQ123_spl
| sQ191_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f621,f1862,f2215,f1789,f1776]) ).
fof(f2223,plain,
( ~ sQ128_spl
| ~ sQ123_spl
| sQ191_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f622,f1862,f2215,f1789,f1805]) ).
fof(f2224,plain,
( ~ sQ191_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f623,f1862,f2215]) ).
fof(f2225,plain,
( sQ123_spl
| ~ sQ192_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f624,f1862,f2218,f1789]) ).
fof(f2227,definition,
( sQ193_spl
<=> sP3_prd ),
introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).
fof(f2230,definition,
( sQ194_spl
<=> sP4_prd ),
introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).
fof(f2233,plain,
( sQ194_spl
| sQ193_spl
| ~ sQ191_spl ),
inference(split_clause,[status(thm)],[f631,f2215,f2227,f2230]) ).
fof(f2234,plain,
( sQ114_spl
| ~ sQ122_spl
| sQ193_spl
| ~ sQ191_spl ),
inference(split_clause,[status(thm)],[f632,f2215,f2227,f1786,f1760]) ).
fof(f2235,plain,
( ~ sQ127_spl
| ~ sQ122_spl
| sQ193_spl
| ~ sQ191_spl ),
inference(split_clause,[status(thm)],[f633,f2215,f2227,f1786,f1802]) ).
fof(f2236,plain,
( ~ sQ193_spl
| sQ191_spl ),
inference(split_clause,[status(thm)],[f634,f2215,f2227]) ).
fof(f2237,plain,
( sQ122_spl
| ~ sQ194_spl
| sQ191_spl ),
inference(split_clause,[status(thm)],[f635,f2215,f2230,f1786]) ).
fof(f2239,definition,
( sQ195_spl
<=> sP5_prd ),
introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).
fof(f2242,plain,
( sQ195_spl
| ~ sQ192_spl ),
inference(split_clause,[status(thm)],[f640,f2218,f2239]) ).
fof(f2247,definition,
( sQ196_spl
<=> sP6_prd ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f2250,definition,
( sQ197_spl
<=> sP7_prd ),
introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition]) ).
fof(f2253,plain,
( sQ197_spl
| sQ196_spl
| ~ sQ193_spl ),
inference(split_clause,[status(thm)],[f650,f2227,f2247,f2250]) ).
fof(f2254,plain,
( sQ109_spl
| ~ sQ121_spl
| sQ196_spl
| ~ sQ193_spl ),
inference(split_clause,[status(thm)],[f651,f2227,f2247,f1783,f1744]) ).
fof(f2255,plain,
( ~ sQ126_spl
| ~ sQ121_spl
| sQ196_spl
| ~ sQ193_spl ),
inference(split_clause,[status(thm)],[f652,f2227,f2247,f1783,f1799]) ).
fof(f2256,plain,
( ~ sQ196_spl
| sQ193_spl ),
inference(split_clause,[status(thm)],[f653,f2227,f2247]) ).
fof(f2257,plain,
( sQ121_spl
| ~ sQ197_spl
| sQ193_spl ),
inference(split_clause,[status(thm)],[f654,f2227,f2250,f1783]) ).
fof(f2259,definition,
( sQ198_spl
<=> sP8_prd ),
introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).
fof(f2262,plain,
( sQ198_spl
| ~ sQ194_spl ),
inference(split_clause,[status(thm)],[f659,f2230,f2259]) ).
fof(f2263,plain,
( sQ113_spl
| ~ sQ117_spl
| ~ sQ194_spl ),
inference(split_clause,[status(thm)],[f660,f2230,f1770,f1757]) ).
fof(f2264,plain,
( ~ sQ127_spl
| ~ sQ117_spl
| ~ sQ194_spl ),
inference(split_clause,[status(thm)],[f661,f2230,f1770,f1802]) ).
fof(f2265,plain,
( sQ117_spl
| ~ sQ198_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f662,f2230,f2259,f1770]) ).
fof(f2266,plain,
( sQ127_spl
| ~ sQ113_spl
| ~ sQ198_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f663,f2230,f2259,f1757,f1802]) ).
fof(f2267,definition,
( sQ199_spl
<=> sP9_prd ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f2270,plain,
( sQ199_spl
| ~ sQ195_spl ),
inference(split_clause,[status(thm)],[f667,f2239,f2267]) ).
fof(f2271,plain,
( sQ117_spl
| ~ sQ113_spl
| ~ sQ195_spl ),
inference(split_clause,[status(thm)],[f668,f2239,f1757,f1770]) ).
fof(f2272,plain,
( ~ sQ128_spl
| ~ sQ113_spl
| ~ sQ195_spl ),
inference(split_clause,[status(thm)],[f669,f2239,f1757,f1805]) ).
fof(f2275,definition,
( sQ200_spl
<=> sP10_prd ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f2278,plain,
( sQ200_spl
| ~ sQ196_spl ),
inference(split_clause,[status(thm)],[f675,f2247,f2275]) ).
fof(f2279,plain,
( sQ104_spl
| ~ sQ120_spl
| ~ sQ196_spl ),
inference(split_clause,[status(thm)],[f676,f2247,f1780,f1728]) ).
fof(f2280,plain,
( ~ sQ125_spl
| ~ sQ120_spl
| ~ sQ196_spl ),
inference(split_clause,[status(thm)],[f677,f2247,f1780,f1796]) ).
fof(f2281,plain,
( sQ120_spl
| ~ sQ200_spl
| sQ196_spl ),
inference(split_clause,[status(thm)],[f678,f2247,f2275,f1780]) ).
fof(f2282,plain,
( sQ125_spl
| ~ sQ104_spl
| ~ sQ200_spl
| sQ196_spl ),
inference(split_clause,[status(thm)],[f679,f2247,f2275,f1728,f1796]) ).
fof(f2283,definition,
( sQ201_spl
<=> sP11_prd ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f2286,plain,
( sQ201_spl
| ~ sQ197_spl ),
inference(split_clause,[status(thm)],[f683,f2250,f2283]) ).
fof(f2287,plain,
( sQ108_spl
| ~ sQ116_spl
| ~ sQ197_spl ),
inference(split_clause,[status(thm)],[f684,f2250,f1767,f1741]) ).
fof(f2288,plain,
( ~ sQ126_spl
| ~ sQ116_spl
| ~ sQ197_spl ),
inference(split_clause,[status(thm)],[f685,f2250,f1767,f1799]) ).
fof(f2289,plain,
( sQ116_spl
| ~ sQ201_spl
| sQ197_spl ),
inference(split_clause,[status(thm)],[f686,f2250,f2283,f1767]) ).
fof(f2290,plain,
( sQ126_spl
| ~ sQ108_spl
| ~ sQ201_spl
| sQ197_spl ),
inference(split_clause,[status(thm)],[f687,f2250,f2283,f1741,f1799]) ).
fof(f2291,definition,
( sQ202_spl
<=> sP12_prd ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f2294,plain,
( sQ202_spl
| ~ sQ198_spl ),
inference(split_clause,[status(thm)],[f691,f2259,f2291]) ).
fof(f2296,plain,
( ~ sQ127_spl
| ~ sQ112_spl
| ~ sQ198_spl ),
inference(split_clause,[status(thm)],[f693,f2259,f1754,f1802]) ).
fof(f2297,plain,
( sQ112_spl
| ~ sQ202_spl
| sQ198_spl ),
inference(split_clause,[status(thm)],[f694,f2259,f2291,f1754]) ).
fof(f2298,plain,
( sQ127_spl
| ~ sQ112_spl
| ~ sQ202_spl
| sQ198_spl ),
inference(split_clause,[status(thm)],[f695,f2259,f2291,f1754,f1802]) ).
fof(f2299,definition,
( sQ203_spl
<=> sP13_prd ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f2302,plain,
( sQ203_spl
| ~ sQ199_spl ),
inference(split_clause,[status(thm)],[f699,f2267,f2299]) ).
fof(f2303,plain,
( sQ116_spl
| ~ sQ108_spl
| ~ sQ199_spl ),
inference(split_clause,[status(thm)],[f700,f2267,f1741,f1767]) ).
fof(f2304,plain,
( ~ sQ128_spl
| ~ sQ108_spl
| ~ sQ199_spl ),
inference(split_clause,[status(thm)],[f701,f2267,f1741,f1805]) ).
fof(f2305,plain,
( sQ108_spl
| ~ sQ203_spl
| sQ199_spl ),
inference(split_clause,[status(thm)],[f702,f2267,f2299,f1741]) ).
fof(f2307,definition,
( sQ204_spl
<=> sP14_prd ),
introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition]) ).
fof(f2310,plain,
( sQ204_spl
| ~ sQ200_spl ),
inference(split_clause,[status(thm)],[f707,f2275,f2307]) ).
fof(f2311,plain,
( sQ103_spl
| ~ sQ115_spl
| ~ sQ200_spl ),
inference(split_clause,[status(thm)],[f708,f2275,f1764,f1725]) ).
fof(f2312,plain,
( ~ sQ125_spl
| ~ sQ115_spl
| ~ sQ200_spl ),
inference(split_clause,[status(thm)],[f709,f2275,f1764,f1796]) ).
fof(f2313,plain,
( sQ115_spl
| ~ sQ204_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f710,f2275,f2307,f1764]) ).
fof(f2314,plain,
( sQ125_spl
| ~ sQ103_spl
| ~ sQ204_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f711,f2275,f2307,f1725,f1796]) ).
fof(f2315,definition,
( sQ205_spl
<=> sP15_prd ),
introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).
fof(f2318,plain,
( sQ205_spl
| ~ sQ201_spl ),
inference(split_clause,[status(thm)],[f715,f2283,f2315]) ).
fof(f2319,plain,
( sQ107_spl
| ~ sQ111_spl
| ~ sQ201_spl ),
inference(split_clause,[status(thm)],[f716,f2283,f1751,f1738]) ).
fof(f2320,plain,
( ~ sQ126_spl
| ~ sQ111_spl
| ~ sQ201_spl ),
inference(split_clause,[status(thm)],[f717,f2283,f1751,f1799]) ).
fof(f2321,plain,
( sQ111_spl
| ~ sQ205_spl
| sQ201_spl ),
inference(split_clause,[status(thm)],[f718,f2283,f2315,f1751]) ).
fof(f2323,definition,
( sQ206_spl
<=> sP16_prd ),
introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition]) ).
fof(f2326,plain,
( sQ206_spl
| ~ sQ202_spl ),
inference(split_clause,[status(thm)],[f723,f2291,f2323]) ).
fof(f2327,plain,
( sQ111_spl
| ~ sQ107_spl
| ~ sQ202_spl ),
inference(split_clause,[status(thm)],[f724,f2291,f1738,f1751]) ).
fof(f2328,plain,
( ~ sQ127_spl
| ~ sQ107_spl
| ~ sQ202_spl ),
inference(split_clause,[status(thm)],[f725,f2291,f1738,f1802]) ).
fof(f2329,plain,
( sQ107_spl
| ~ sQ206_spl
| sQ202_spl ),
inference(split_clause,[status(thm)],[f726,f2291,f2323,f1738]) ).
fof(f2331,definition,
( sQ207_spl
<=> sP17_prd ),
introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).
fof(f2334,plain,
( sQ207_spl
| ~ sQ203_spl ),
inference(split_clause,[status(thm)],[f731,f2299,f2331]) ).
fof(f2335,plain,
( sQ115_spl
| ~ sQ103_spl
| ~ sQ203_spl ),
inference(split_clause,[status(thm)],[f732,f2299,f1725,f1764]) ).
fof(f2336,plain,
( ~ sQ128_spl
| ~ sQ103_spl
| ~ sQ203_spl ),
inference(split_clause,[status(thm)],[f733,f2299,f1725,f1805]) ).
fof(f2337,plain,
( sQ103_spl
| ~ sQ207_spl
| sQ203_spl ),
inference(split_clause,[status(thm)],[f734,f2299,f2331,f1725]) ).
fof(f2339,definition,
( sQ208_spl
<=> sP18_prd ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f2342,plain,
( sQ208_spl
| ~ sQ204_spl ),
inference(split_clause,[status(thm)],[f739,f2307,f2339]) ).
fof(f2343,plain,
( sQ102_spl
| ~ sQ110_spl
| ~ sQ204_spl ),
inference(split_clause,[status(thm)],[f740,f2307,f1748,f1722]) ).
fof(f2344,plain,
( ~ sQ125_spl
| ~ sQ110_spl
| ~ sQ204_spl ),
inference(split_clause,[status(thm)],[f741,f2307,f1748,f1796]) ).
fof(f2345,plain,
( sQ110_spl
| ~ sQ208_spl
| sQ204_spl ),
inference(split_clause,[status(thm)],[f742,f2307,f2339,f1748]) ).
fof(f2346,plain,
( sQ125_spl
| ~ sQ102_spl
| ~ sQ208_spl
| sQ204_spl ),
inference(split_clause,[status(thm)],[f743,f2307,f2339,f1722,f1796]) ).
fof(f2347,definition,
( sQ209_spl
<=> sP19_prd ),
introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).
fof(f2350,plain,
( sQ209_spl
| ~ sQ205_spl ),
inference(split_clause,[status(thm)],[f747,f2315,f2347]) ).
fof(f2352,plain,
( ~ sQ126_spl
| ~ sQ106_spl
| ~ sQ205_spl ),
inference(split_clause,[status(thm)],[f749,f2315,f1735,f1799]) ).
fof(f2353,plain,
( sQ106_spl
| ~ sQ209_spl
| sQ205_spl ),
inference(split_clause,[status(thm)],[f750,f2315,f2347,f1735]) ).
fof(f2354,plain,
( sQ126_spl
| ~ sQ106_spl
| ~ sQ209_spl
| sQ205_spl ),
inference(split_clause,[status(thm)],[f751,f2315,f2347,f1735,f1799]) ).
fof(f2355,definition,
( sQ210_spl
<=> sP20_prd ),
introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).
fof(f2358,plain,
( sQ210_spl
| ~ sQ206_spl ),
inference(split_clause,[status(thm)],[f755,f2323,f2355]) ).
fof(f2359,plain,
( sQ110_spl
| ~ sQ102_spl
| ~ sQ206_spl ),
inference(split_clause,[status(thm)],[f756,f2323,f1722,f1748]) ).
fof(f2360,plain,
( ~ sQ127_spl
| ~ sQ102_spl
| ~ sQ206_spl ),
inference(split_clause,[status(thm)],[f757,f2323,f1722,f1802]) ).
fof(f2361,plain,
( sQ102_spl
| ~ sQ210_spl
| sQ206_spl ),
inference(split_clause,[status(thm)],[f758,f2323,f2355,f1722]) ).
fof(f2362,plain,
( sQ127_spl
| ~ sQ110_spl
| ~ sQ210_spl
| sQ206_spl ),
inference(split_clause,[status(thm)],[f759,f2323,f2355,f1748,f1802]) ).
fof(f2363,definition,
( sQ211_spl
<=> sP21_prd ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f2366,plain,
( sQ211_spl
| ~ sQ207_spl ),
inference(split_clause,[status(thm)],[f763,f2331,f2363]) ).
fof(f2367,plain,
( sQ94_spl
| ~ sQ98_spl
| ~ sQ207_spl ),
inference(split_clause,[status(thm)],[f764,f2331,f1709,f1696]) ).
fof(f2369,plain,
( sQ98_spl
| ~ sQ211_spl
| sQ207_spl ),
inference(split_clause,[status(thm)],[f766,f2331,f2363,f1709]) ).
fof(f2371,definition,
( sQ212_spl
<=> sP22_prd ),
introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).
fof(f2374,plain,
( sQ212_spl
| ~ sQ208_spl ),
inference(split_clause,[status(thm)],[f771,f2339,f2371]) ).
fof(f2375,plain,
( sQ101_spl
| ~ sQ105_spl
| ~ sQ208_spl ),
inference(split_clause,[status(thm)],[f772,f2339,f1732,f1719]) ).
fof(f2376,plain,
( ~ sQ125_spl
| ~ sQ105_spl
| ~ sQ208_spl ),
inference(split_clause,[status(thm)],[f773,f2339,f1732,f1796]) ).
fof(f2377,plain,
( sQ105_spl
| ~ sQ212_spl
| sQ208_spl ),
inference(split_clause,[status(thm)],[f774,f2339,f2371,f1732]) ).
fof(f2378,plain,
( sQ125_spl
| ~ sQ101_spl
| ~ sQ212_spl
| sQ208_spl ),
inference(split_clause,[status(thm)],[f775,f2339,f2371,f1719,f1796]) ).
fof(f2379,definition,
( sQ213_spl
<=> sP23_prd ),
introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).
fof(f2382,plain,
( sQ213_spl
| ~ sQ209_spl ),
inference(split_clause,[status(thm)],[f779,f2347,f2379]) ).
fof(f2383,plain,
( sQ105_spl
| ~ sQ101_spl
| ~ sQ209_spl ),
inference(split_clause,[status(thm)],[f780,f2347,f1719,f1732]) ).
fof(f2384,plain,
( ~ sQ126_spl
| ~ sQ101_spl
| ~ sQ209_spl ),
inference(split_clause,[status(thm)],[f781,f2347,f1719,f1799]) ).
fof(f2385,plain,
( sQ101_spl
| ~ sQ213_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f782,f2347,f2379,f1719]) ).
fof(f2386,plain,
( sQ126_spl
| ~ sQ105_spl
| ~ sQ213_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f783,f2347,f2379,f1732,f1799]) ).
fof(f2387,definition,
( sQ214_spl
<=> sP24_prd ),
introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition]) ).
fof(f2390,plain,
( sQ214_spl
| ~ sQ210_spl ),
inference(split_clause,[status(thm)],[f787,f2355,f2387]) ).
fof(f2391,plain,
( sQ89_spl
| ~ sQ97_spl
| ~ sQ210_spl ),
inference(split_clause,[status(thm)],[f788,f2355,f1706,f1680]) ).
fof(f2393,plain,
( sQ97_spl
| ~ sQ214_spl
| sQ210_spl ),
inference(split_clause,[status(thm)],[f790,f2355,f2387,f1706]) ).
fof(f2395,definition,
( sQ215_spl
<=> sP25_prd ),
introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition]) ).
fof(f2398,plain,
( sQ215_spl
| ~ sQ211_spl ),
inference(split_clause,[status(thm)],[f795,f2363,f2395]) ).
fof(f2400,plain,
( ~ sQ128_spl
| ~ sQ93_spl
| ~ sQ211_spl ),
inference(split_clause,[status(thm)],[f797,f2363,f1693,f1805]) ).
fof(f2401,plain,
( sQ93_spl
| ~ sQ215_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f798,f2363,f2395,f1693]) ).
fof(f2403,definition,
( sQ216_spl
<=> sP26_prd ),
introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition]) ).
fof(f2406,plain,
( sQ216_spl
| ~ sQ212_spl ),
inference(split_clause,[status(thm)],[f803,f2371,f2403]) ).
fof(f2408,plain,
( ~ sQ125_spl
| ~ sQ100_spl
| ~ sQ212_spl ),
inference(split_clause,[status(thm)],[f805,f2371,f1716,f1796]) ).
fof(f2409,plain,
( sQ100_spl
| ~ sQ216_spl
| sQ212_spl ),
inference(split_clause,[status(thm)],[f806,f2371,f2403,f1716]) ).
fof(f2410,plain,
( sQ125_spl
| ~ sQ100_spl
| ~ sQ216_spl
| sQ212_spl ),
inference(split_clause,[status(thm)],[f807,f2371,f2403,f1716,f1796]) ).
fof(f2411,definition,
( sQ217_spl
<=> sP27_prd ),
introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition]) ).
fof(f2414,plain,
( sQ217_spl
| ~ sQ213_spl ),
inference(split_clause,[status(thm)],[f811,f2379,f2411]) ).
fof(f2415,plain,
( sQ84_spl
| ~ sQ96_spl
| ~ sQ213_spl ),
inference(split_clause,[status(thm)],[f812,f2379,f1703,f1664]) ).
fof(f2417,plain,
( sQ96_spl
| ~ sQ217_spl
| sQ213_spl ),
inference(split_clause,[status(thm)],[f814,f2379,f2411,f1703]) ).
fof(f2419,definition,
( sQ218_spl
<=> sP28_prd ),
introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition]) ).
fof(f2422,plain,
( sQ218_spl
| ~ sQ214_spl ),
inference(split_clause,[status(thm)],[f819,f2387,f2419]) ).
fof(f2423,plain,
( sQ88_spl
| ~ sQ92_spl
| ~ sQ214_spl ),
inference(split_clause,[status(thm)],[f820,f2387,f1690,f1677]) ).
fof(f2424,plain,
( ~ sQ127_spl
| ~ sQ92_spl
| ~ sQ214_spl ),
inference(split_clause,[status(thm)],[f821,f2387,f1690,f1802]) ).
fof(f2425,plain,
( sQ92_spl
| ~ sQ218_spl
| sQ214_spl ),
inference(split_clause,[status(thm)],[f822,f2387,f2419,f1690]) ).
fof(f2427,definition,
( sQ219_spl
<=> sP29_prd ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f2430,plain,
( sQ219_spl
| ~ sQ215_spl ),
inference(split_clause,[status(thm)],[f827,f2395,f2427]) ).
fof(f2431,plain,
( sQ92_spl
| ~ sQ88_spl
| ~ sQ215_spl ),
inference(split_clause,[status(thm)],[f828,f2395,f1677,f1690]) ).
fof(f2433,plain,
( sQ88_spl
| ~ sQ219_spl
| sQ215_spl ),
inference(split_clause,[status(thm)],[f830,f2395,f2427,f1677]) ).
fof(f2435,definition,
( sQ220_spl
<=> sP30_prd ),
introduced(definition,[new_symbols(definition,[sQ220_spl])],[split_symbol_definition]) ).
fof(f2438,plain,
( sQ220_spl
| ~ sQ216_spl ),
inference(split_clause,[status(thm)],[f835,f2403,f2435]) ).
fof(f2439,plain,
( sQ79_spl
| ~ sQ95_spl
| ~ sQ216_spl ),
inference(split_clause,[status(thm)],[f836,f2403,f1700,f1648]) ).
fof(f2440,plain,
( ~ sQ125_spl
| ~ sQ95_spl
| ~ sQ216_spl ),
inference(split_clause,[status(thm)],[f837,f2403,f1700,f1796]) ).
fof(f2441,plain,
( sQ95_spl
| ~ sQ220_spl
| sQ216_spl ),
inference(split_clause,[status(thm)],[f838,f2403,f2435,f1700]) ).
fof(f2442,plain,
( sQ125_spl
| ~ sQ79_spl
| ~ sQ220_spl
| sQ216_spl ),
inference(split_clause,[status(thm)],[f839,f2403,f2435,f1648,f1796]) ).
fof(f2443,definition,
( sQ221_spl
<=> sP31_prd ),
introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition]) ).
fof(f2446,plain,
( sQ221_spl
| ~ sQ217_spl ),
inference(split_clause,[status(thm)],[f843,f2411,f2443]) ).
fof(f2447,plain,
( sQ83_spl
| ~ sQ91_spl
| ~ sQ217_spl ),
inference(split_clause,[status(thm)],[f844,f2411,f1687,f1661]) ).
fof(f2448,plain,
( ~ sQ126_spl
| ~ sQ91_spl
| ~ sQ217_spl ),
inference(split_clause,[status(thm)],[f845,f2411,f1687,f1799]) ).
fof(f2449,plain,
( sQ91_spl
| ~ sQ221_spl
| sQ217_spl ),
inference(split_clause,[status(thm)],[f846,f2411,f2443,f1687]) ).
fof(f2450,plain,
( sQ126_spl
| ~ sQ83_spl
| ~ sQ221_spl
| sQ217_spl ),
inference(split_clause,[status(thm)],[f847,f2411,f2443,f1661,f1799]) ).
fof(f2451,definition,
( sQ222_spl
<=> sP32_prd ),
introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition]) ).
fof(f2454,plain,
( sQ222_spl
| ~ sQ218_spl ),
inference(split_clause,[status(thm)],[f851,f2419,f2451]) ).
fof(f2456,plain,
( ~ sQ127_spl
| ~ sQ87_spl
| ~ sQ218_spl ),
inference(split_clause,[status(thm)],[f853,f2419,f1674,f1802]) ).
fof(f2457,plain,
( sQ87_spl
| ~ sQ222_spl
| sQ218_spl ),
inference(split_clause,[status(thm)],[f854,f2419,f2451,f1674]) ).
fof(f2458,plain,
( sQ127_spl
| ~ sQ87_spl
| ~ sQ222_spl
| sQ218_spl ),
inference(split_clause,[status(thm)],[f855,f2419,f2451,f1674,f1802]) ).
fof(f2459,definition,
( sQ223_spl
<=> sP33_prd ),
introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition]) ).
fof(f2462,plain,
( sQ223_spl
| ~ sQ219_spl ),
inference(split_clause,[status(thm)],[f859,f2427,f2459]) ).
fof(f2463,plain,
( sQ91_spl
| ~ sQ83_spl
| ~ sQ219_spl ),
inference(split_clause,[status(thm)],[f860,f2427,f1661,f1687]) ).
fof(f2467,definition,
( sQ224_spl
<=> sP34_prd ),
introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition]) ).
fof(f2470,plain,
( sQ224_spl
| ~ sQ220_spl ),
inference(split_clause,[status(thm)],[f867,f2435,f2467]) ).
fof(f2471,plain,
( sQ78_spl
| ~ sQ90_spl
| ~ sQ220_spl ),
inference(split_clause,[status(thm)],[f868,f2435,f1684,f1645]) ).
fof(f2472,plain,
( ~ sQ125_spl
| ~ sQ90_spl
| ~ sQ220_spl ),
inference(split_clause,[status(thm)],[f869,f2435,f1684,f1796]) ).
fof(f2473,plain,
( sQ90_spl
| ~ sQ224_spl
| sQ220_spl ),
inference(split_clause,[status(thm)],[f870,f2435,f2467,f1684]) ).
fof(f2475,definition,
( sQ225_spl
<=> sP35_prd ),
introduced(definition,[new_symbols(definition,[sQ225_spl])],[split_symbol_definition]) ).
fof(f2478,plain,
( sQ225_spl
| ~ sQ221_spl ),
inference(split_clause,[status(thm)],[f875,f2443,f2475]) ).
fof(f2479,plain,
( sQ82_spl
| ~ sQ86_spl
| ~ sQ221_spl ),
inference(split_clause,[status(thm)],[f876,f2443,f1671,f1658]) ).
fof(f2480,plain,
( ~ sQ126_spl
| ~ sQ86_spl
| ~ sQ221_spl ),
inference(split_clause,[status(thm)],[f877,f2443,f1671,f1799]) ).
fof(f2481,plain,
( sQ86_spl
| ~ sQ225_spl
| sQ221_spl ),
inference(split_clause,[status(thm)],[f878,f2443,f2475,f1671]) ).
fof(f2482,plain,
( sQ126_spl
| ~ sQ82_spl
| ~ sQ225_spl
| sQ221_spl ),
inference(split_clause,[status(thm)],[f879,f2443,f2475,f1658,f1799]) ).
fof(f2483,definition,
( sQ226_spl
<=> sP36_prd ),
introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition]) ).
fof(f2486,plain,
( sQ226_spl
| ~ sQ222_spl ),
inference(split_clause,[status(thm)],[f883,f2451,f2483]) ).
fof(f2487,plain,
( sQ86_spl
| ~ sQ82_spl
| ~ sQ222_spl ),
inference(split_clause,[status(thm)],[f884,f2451,f1658,f1671]) ).
fof(f2488,plain,
( ~ sQ127_spl
| ~ sQ82_spl
| ~ sQ222_spl ),
inference(split_clause,[status(thm)],[f885,f2451,f1658,f1802]) ).
fof(f2489,plain,
( sQ82_spl
| ~ sQ226_spl
| sQ222_spl ),
inference(split_clause,[status(thm)],[f886,f2451,f2483,f1658]) ).
fof(f2491,definition,
( sQ227_spl
<=> sP37_prd ),
introduced(definition,[new_symbols(definition,[sQ227_spl])],[split_symbol_definition]) ).
fof(f2494,plain,
( sQ227_spl
| ~ sQ223_spl ),
inference(split_clause,[status(thm)],[f891,f2459,f2491]) ).
fof(f2495,plain,
( sQ90_spl
| ~ sQ78_spl
| ~ sQ223_spl ),
inference(split_clause,[status(thm)],[f892,f2459,f1645,f1684]) ).
fof(f2497,plain,
( sQ78_spl
| ~ sQ227_spl
| sQ223_spl ),
inference(split_clause,[status(thm)],[f894,f2459,f2491,f1645]) ).
fof(f2499,definition,
( sQ228_spl
<=> sP38_prd ),
introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition]) ).
fof(f2502,plain,
( sQ228_spl
| ~ sQ224_spl ),
inference(split_clause,[status(thm)],[f899,f2467,f2499]) ).
fof(f2503,plain,
( sQ77_spl
| ~ sQ85_spl
| ~ sQ224_spl ),
inference(split_clause,[status(thm)],[f900,f2467,f1668,f1642]) ).
fof(f2504,plain,
( ~ sQ125_spl
| ~ sQ85_spl
| ~ sQ224_spl ),
inference(split_clause,[status(thm)],[f901,f2467,f1668,f1796]) ).
fof(f2505,plain,
( sQ85_spl
| ~ sQ228_spl
| sQ224_spl ),
inference(split_clause,[status(thm)],[f902,f2467,f2499,f1668]) ).
fof(f2506,plain,
( sQ125_spl
| ~ sQ77_spl
| ~ sQ228_spl
| sQ224_spl ),
inference(split_clause,[status(thm)],[f903,f2467,f2499,f1642,f1796]) ).
fof(f2507,definition,
( sQ229_spl
<=> sP39_prd ),
introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition]) ).
fof(f2510,plain,
( sQ229_spl
| ~ sQ225_spl ),
inference(split_clause,[status(thm)],[f907,f2475,f2507]) ).
fof(f2512,plain,
( ~ sQ126_spl
| ~ sQ81_spl
| ~ sQ225_spl ),
inference(split_clause,[status(thm)],[f909,f2475,f1655,f1799]) ).
fof(f2513,plain,
( sQ81_spl
| ~ sQ229_spl
| sQ225_spl ),
inference(split_clause,[status(thm)],[f910,f2475,f2507,f1655]) ).
fof(f2515,definition,
( sQ230_spl
<=> sP40_prd ),
introduced(definition,[new_symbols(definition,[sQ230_spl])],[split_symbol_definition]) ).
fof(f2518,plain,
( sQ230_spl
| ~ sQ226_spl ),
inference(split_clause,[status(thm)],[f915,f2483,f2515]) ).
fof(f2519,plain,
( sQ85_spl
| ~ sQ77_spl
| ~ sQ226_spl ),
inference(split_clause,[status(thm)],[f916,f2483,f1642,f1668]) ).
fof(f2520,plain,
( ~ sQ127_spl
| ~ sQ77_spl
| ~ sQ226_spl ),
inference(split_clause,[status(thm)],[f917,f2483,f1642,f1802]) ).
fof(f2521,plain,
( sQ77_spl
| ~ sQ230_spl
| sQ226_spl ),
inference(split_clause,[status(thm)],[f918,f2483,f2515,f1642]) ).
fof(f2523,definition,
( sQ231_spl
<=> sP41_prd ),
introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition]) ).
fof(f2526,plain,
( sQ231_spl
| ~ sQ227_spl ),
inference(split_clause,[status(thm)],[f923,f2491,f2523]) ).
fof(f2527,plain,
( sQ69_spl
| ~ sQ73_spl
| ~ sQ227_spl ),
inference(split_clause,[status(thm)],[f924,f2491,f1629,f1616]) ).
fof(f2529,plain,
( sQ73_spl
| ~ sQ231_spl
| sQ227_spl ),
inference(split_clause,[status(thm)],[f926,f2491,f2523,f1629]) ).
fof(f2531,definition,
( sQ232_spl
<=> sP42_prd ),
introduced(definition,[new_symbols(definition,[sQ232_spl])],[split_symbol_definition]) ).
fof(f2534,plain,
( sQ232_spl
| ~ sQ228_spl ),
inference(split_clause,[status(thm)],[f931,f2499,f2531]) ).
fof(f2535,plain,
( sQ76_spl
| ~ sQ80_spl
| ~ sQ228_spl ),
inference(split_clause,[status(thm)],[f932,f2499,f1652,f1639]) ).
fof(f2536,plain,
( ~ sQ125_spl
| ~ sQ80_spl
| ~ sQ228_spl ),
inference(split_clause,[status(thm)],[f933,f2499,f1652,f1796]) ).
fof(f2537,plain,
( sQ80_spl
| ~ sQ232_spl
| sQ228_spl ),
inference(split_clause,[status(thm)],[f934,f2499,f2531,f1652]) ).
fof(f2538,plain,
( sQ125_spl
| ~ sQ76_spl
| ~ sQ232_spl
| sQ228_spl ),
inference(split_clause,[status(thm)],[f935,f2499,f2531,f1639,f1796]) ).
fof(f2539,definition,
( sQ233_spl
<=> sP43_prd ),
introduced(definition,[new_symbols(definition,[sQ233_spl])],[split_symbol_definition]) ).
fof(f2542,plain,
( sQ233_spl
| ~ sQ229_spl ),
inference(split_clause,[status(thm)],[f939,f2507,f2539]) ).
fof(f2543,plain,
( sQ80_spl
| ~ sQ76_spl
| ~ sQ229_spl ),
inference(split_clause,[status(thm)],[f940,f2507,f1639,f1652]) ).
fof(f2544,plain,
( ~ sQ126_spl
| ~ sQ76_spl
| ~ sQ229_spl ),
inference(split_clause,[status(thm)],[f941,f2507,f1639,f1799]) ).
fof(f2545,plain,
( sQ76_spl
| ~ sQ233_spl
| sQ229_spl ),
inference(split_clause,[status(thm)],[f942,f2507,f2539,f1639]) ).
fof(f2546,plain,
( sQ126_spl
| ~ sQ80_spl
| ~ sQ233_spl
| sQ229_spl ),
inference(split_clause,[status(thm)],[f943,f2507,f2539,f1652,f1799]) ).
fof(f2547,definition,
( sQ234_spl
<=> sP44_prd ),
introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition]) ).
fof(f2550,plain,
( sQ234_spl
| ~ sQ230_spl ),
inference(split_clause,[status(thm)],[f947,f2515,f2547]) ).
fof(f2551,plain,
( sQ64_spl
| ~ sQ72_spl
| ~ sQ230_spl ),
inference(split_clause,[status(thm)],[f948,f2515,f1626,f1600]) ).
fof(f2553,plain,
( sQ72_spl
| ~ sQ234_spl
| sQ230_spl ),
inference(split_clause,[status(thm)],[f950,f2515,f2547,f1626]) ).
fof(f2555,definition,
( sQ235_spl
<=> sP45_prd ),
introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition]) ).
fof(f2558,plain,
( sQ235_spl
| ~ sQ231_spl ),
inference(split_clause,[status(thm)],[f955,f2523,f2555]) ).
fof(f2563,definition,
( sQ236_spl
<=> sP46_prd ),
introduced(definition,[new_symbols(definition,[sQ236_spl])],[split_symbol_definition]) ).
fof(f2566,plain,
( sQ236_spl
| ~ sQ232_spl ),
inference(split_clause,[status(thm)],[f963,f2531,f2563]) ).
fof(f2568,plain,
( ~ sQ125_spl
| ~ sQ75_spl
| ~ sQ232_spl ),
inference(split_clause,[status(thm)],[f965,f2531,f1636,f1796]) ).
fof(f2569,plain,
( sQ75_spl
| ~ sQ236_spl
| sQ232_spl ),
inference(split_clause,[status(thm)],[f966,f2531,f2563,f1636]) ).
fof(f2570,plain,
( sQ125_spl
| ~ sQ75_spl
| ~ sQ236_spl
| sQ232_spl ),
inference(split_clause,[status(thm)],[f967,f2531,f2563,f1636,f1796]) ).
fof(f2571,definition,
( sQ237_spl
<=> sP47_prd ),
introduced(definition,[new_symbols(definition,[sQ237_spl])],[split_symbol_definition]) ).
fof(f2574,plain,
( sQ237_spl
| ~ sQ233_spl ),
inference(split_clause,[status(thm)],[f971,f2539,f2571]) ).
fof(f2575,plain,
( sQ59_spl
| ~ sQ71_spl
| ~ sQ233_spl ),
inference(split_clause,[status(thm)],[f972,f2539,f1623,f1584]) ).
fof(f2576,plain,
( ~ sQ126_spl
| ~ sQ71_spl
| ~ sQ233_spl ),
inference(split_clause,[status(thm)],[f973,f2539,f1623,f1799]) ).
fof(f2577,plain,
( sQ71_spl
| ~ sQ237_spl
| sQ233_spl ),
inference(split_clause,[status(thm)],[f974,f2539,f2571,f1623]) ).
fof(f2579,definition,
( sQ238_spl
<=> sP48_prd ),
introduced(definition,[new_symbols(definition,[sQ238_spl])],[split_symbol_definition]) ).
fof(f2582,plain,
( sQ238_spl
| ~ sQ234_spl ),
inference(split_clause,[status(thm)],[f979,f2547,f2579]) ).
fof(f2583,plain,
( sQ63_spl
| ~ sQ67_spl
| ~ sQ234_spl ),
inference(split_clause,[status(thm)],[f980,f2547,f1610,f1597]) ).
fof(f2584,plain,
( ~ sQ127_spl
| ~ sQ67_spl
| ~ sQ234_spl ),
inference(split_clause,[status(thm)],[f981,f2547,f1610,f1802]) ).
fof(f2585,plain,
( sQ67_spl
| ~ sQ238_spl
| sQ234_spl ),
inference(split_clause,[status(thm)],[f982,f2547,f2579,f1610]) ).
fof(f2587,definition,
( sQ239_spl
<=> sP49_prd ),
introduced(definition,[new_symbols(definition,[sQ239_spl])],[split_symbol_definition]) ).
fof(f2590,plain,
( sQ239_spl
| ~ sQ235_spl ),
inference(split_clause,[status(thm)],[f987,f2555,f2587]) ).
fof(f2591,plain,
( sQ67_spl
| ~ sQ63_spl
| ~ sQ235_spl ),
inference(split_clause,[status(thm)],[f988,f2555,f1597,f1610]) ).
fof(f2592,plain,
( ~ sQ128_spl
| ~ sQ63_spl
| ~ sQ235_spl ),
inference(split_clause,[status(thm)],[f989,f2555,f1597,f1805]) ).
fof(f2595,definition,
( sQ240_spl
<=> sP50_prd ),
introduced(definition,[new_symbols(definition,[sQ240_spl])],[split_symbol_definition]) ).
fof(f2598,plain,
( sQ240_spl
| ~ sQ236_spl ),
inference(split_clause,[status(thm)],[f995,f2563,f2595]) ).
fof(f2599,plain,
( sQ54_spl
| ~ sQ70_spl
| ~ sQ236_spl ),
inference(split_clause,[status(thm)],[f996,f2563,f1620,f1568]) ).
fof(f2600,plain,
( ~ sQ125_spl
| ~ sQ70_spl
| ~ sQ236_spl ),
inference(split_clause,[status(thm)],[f997,f2563,f1620,f1796]) ).
fof(f2601,plain,
( sQ70_spl
| ~ sQ240_spl
| sQ236_spl ),
inference(split_clause,[status(thm)],[f998,f2563,f2595,f1620]) ).
fof(f2602,plain,
( sQ125_spl
| ~ sQ54_spl
| ~ sQ240_spl
| sQ236_spl ),
inference(split_clause,[status(thm)],[f999,f2563,f2595,f1568,f1796]) ).
fof(f2603,definition,
( sQ241_spl
<=> sP51_prd ),
introduced(definition,[new_symbols(definition,[sQ241_spl])],[split_symbol_definition]) ).
fof(f2606,plain,
( sQ241_spl
| ~ sQ237_spl ),
inference(split_clause,[status(thm)],[f1003,f2571,f2603]) ).
fof(f2607,plain,
( sQ58_spl
| ~ sQ66_spl
| ~ sQ237_spl ),
inference(split_clause,[status(thm)],[f1004,f2571,f1607,f1581]) ).
fof(f2609,plain,
( sQ66_spl
| ~ sQ241_spl
| sQ237_spl ),
inference(split_clause,[status(thm)],[f1006,f2571,f2603,f1607]) ).
fof(f2610,plain,
( sQ126_spl
| ~ sQ58_spl
| ~ sQ241_spl
| sQ237_spl ),
inference(split_clause,[status(thm)],[f1007,f2571,f2603,f1581,f1799]) ).
fof(f2611,definition,
( sQ242_spl
<=> sP52_prd ),
introduced(definition,[new_symbols(definition,[sQ242_spl])],[split_symbol_definition]) ).
fof(f2614,plain,
( sQ242_spl
| ~ sQ238_spl ),
inference(split_clause,[status(thm)],[f1011,f2579,f2611]) ).
fof(f2616,plain,
( ~ sQ127_spl
| ~ sQ62_spl
| ~ sQ238_spl ),
inference(split_clause,[status(thm)],[f1013,f2579,f1594,f1802]) ).
fof(f2617,plain,
( sQ62_spl
| ~ sQ242_spl
| sQ238_spl ),
inference(split_clause,[status(thm)],[f1014,f2579,f2611,f1594]) ).
fof(f2619,definition,
( sQ243_spl
<=> sP53_prd ),
introduced(definition,[new_symbols(definition,[sQ243_spl])],[split_symbol_definition]) ).
fof(f2622,plain,
( sQ243_spl
| ~ sQ239_spl ),
inference(split_clause,[status(thm)],[f1019,f2587,f2619]) ).
fof(f2623,plain,
( sQ66_spl
| ~ sQ58_spl
| ~ sQ239_spl ),
inference(split_clause,[status(thm)],[f1020,f2587,f1581,f1607]) ).
fof(f2624,plain,
( ~ sQ128_spl
| ~ sQ58_spl
| ~ sQ239_spl ),
inference(split_clause,[status(thm)],[f1021,f2587,f1581,f1805]) ).
fof(f2625,plain,
( sQ58_spl
| ~ sQ243_spl
| sQ239_spl ),
inference(split_clause,[status(thm)],[f1022,f2587,f2619,f1581]) ).
fof(f2627,definition,
( sQ244_spl
<=> sP54_prd ),
introduced(definition,[new_symbols(definition,[sQ244_spl])],[split_symbol_definition]) ).
fof(f2630,plain,
( sQ244_spl
| ~ sQ240_spl ),
inference(split_clause,[status(thm)],[f1027,f2595,f2627]) ).
fof(f2631,plain,
( sQ53_spl
| ~ sQ65_spl
| ~ sQ240_spl ),
inference(split_clause,[status(thm)],[f1028,f2595,f1604,f1565]) ).
fof(f2632,plain,
( ~ sQ125_spl
| ~ sQ65_spl
| ~ sQ240_spl ),
inference(split_clause,[status(thm)],[f1029,f2595,f1604,f1796]) ).
fof(f2633,plain,
( sQ65_spl
| ~ sQ244_spl
| sQ240_spl ),
inference(split_clause,[status(thm)],[f1030,f2595,f2627,f1604]) ).
fof(f2635,definition,
( sQ245_spl
<=> sP55_prd ),
introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition]) ).
fof(f2638,plain,
( sQ245_spl
| ~ sQ241_spl ),
inference(split_clause,[status(thm)],[f1035,f2603,f2635]) ).
fof(f2639,plain,
( sQ57_spl
| ~ sQ61_spl
| ~ sQ241_spl ),
inference(split_clause,[status(thm)],[f1036,f2603,f1591,f1578]) ).
fof(f2641,plain,
( sQ61_spl
| ~ sQ245_spl
| sQ241_spl ),
inference(split_clause,[status(thm)],[f1038,f2603,f2635,f1591]) ).
fof(f2642,plain,
( sQ126_spl
| ~ sQ57_spl
| ~ sQ245_spl
| sQ241_spl ),
inference(split_clause,[status(thm)],[f1039,f2603,f2635,f1578,f1799]) ).
fof(f2643,definition,
( sQ246_spl
<=> sP56_prd ),
introduced(definition,[new_symbols(definition,[sQ246_spl])],[split_symbol_definition]) ).
fof(f2646,plain,
( sQ246_spl
| ~ sQ242_spl ),
inference(split_clause,[status(thm)],[f1043,f2611,f2643]) ).
fof(f2647,plain,
( sQ61_spl
| ~ sQ57_spl
| ~ sQ242_spl ),
inference(split_clause,[status(thm)],[f1044,f2611,f1578,f1591]) ).
fof(f2651,definition,
( sQ247_spl
<=> sP57_prd ),
introduced(definition,[new_symbols(definition,[sQ247_spl])],[split_symbol_definition]) ).
fof(f2654,plain,
( sQ247_spl
| ~ sQ243_spl ),
inference(split_clause,[status(thm)],[f1051,f2619,f2651]) ).
fof(f2655,plain,
( sQ65_spl
| ~ sQ53_spl
| ~ sQ243_spl ),
inference(split_clause,[status(thm)],[f1052,f2619,f1565,f1604]) ).
fof(f2657,plain,
( sQ53_spl
| ~ sQ247_spl
| sQ243_spl ),
inference(split_clause,[status(thm)],[f1054,f2619,f2651,f1565]) ).
fof(f2659,definition,
( sQ248_spl
<=> sP58_prd ),
introduced(definition,[new_symbols(definition,[sQ248_spl])],[split_symbol_definition]) ).
fof(f2662,plain,
( sQ248_spl
| ~ sQ244_spl ),
inference(split_clause,[status(thm)],[f1059,f2627,f2659]) ).
fof(f2663,plain,
( sQ52_spl
| ~ sQ60_spl
| ~ sQ244_spl ),
inference(split_clause,[status(thm)],[f1060,f2627,f1588,f1562]) ).
fof(f2664,plain,
( ~ sQ125_spl
| ~ sQ60_spl
| ~ sQ244_spl ),
inference(split_clause,[status(thm)],[f1061,f2627,f1588,f1796]) ).
fof(f2665,plain,
( sQ60_spl
| ~ sQ248_spl
| sQ244_spl ),
inference(split_clause,[status(thm)],[f1062,f2627,f2659,f1588]) ).
fof(f2667,definition,
( sQ249_spl
<=> sP59_prd ),
introduced(definition,[new_symbols(definition,[sQ249_spl])],[split_symbol_definition]) ).
fof(f2670,plain,
( sQ249_spl
| ~ sQ245_spl ),
inference(split_clause,[status(thm)],[f1067,f2635,f2667]) ).
fof(f2672,plain,
( ~ sQ126_spl
| ~ sQ56_spl
| ~ sQ245_spl ),
inference(split_clause,[status(thm)],[f1069,f2635,f1575,f1799]) ).
fof(f2673,plain,
( sQ56_spl
| ~ sQ249_spl
| sQ245_spl ),
inference(split_clause,[status(thm)],[f1070,f2635,f2667,f1575]) ).
fof(f2675,definition,
( sQ250_spl
<=> sP60_prd ),
introduced(definition,[new_symbols(definition,[sQ250_spl])],[split_symbol_definition]) ).
fof(f2678,plain,
( sQ250_spl
| ~ sQ246_spl ),
inference(split_clause,[status(thm)],[f1075,f2643,f2675]) ).
fof(f2679,plain,
( sQ60_spl
| ~ sQ52_spl
| ~ sQ246_spl ),
inference(split_clause,[status(thm)],[f1076,f2643,f1562,f1588]) ).
fof(f2680,plain,
( ~ sQ127_spl
| ~ sQ52_spl
| ~ sQ246_spl ),
inference(split_clause,[status(thm)],[f1077,f2643,f1562,f1802]) ).
fof(f2681,plain,
( sQ52_spl
| ~ sQ250_spl
| sQ246_spl ),
inference(split_clause,[status(thm)],[f1078,f2643,f2675,f1562]) ).
fof(f2683,definition,
( sQ251_spl
<=> sP61_prd ),
introduced(definition,[new_symbols(definition,[sQ251_spl])],[split_symbol_definition]) ).
fof(f2686,plain,
( sQ251_spl
| ~ sQ247_spl ),
inference(split_clause,[status(thm)],[f1083,f2651,f2683]) ).
fof(f2687,plain,
( sQ44_spl
| ~ sQ48_spl
| ~ sQ247_spl ),
inference(split_clause,[status(thm)],[f1084,f2651,f1549,f1536]) ).
fof(f2689,plain,
( sQ48_spl
| ~ sQ251_spl
| sQ247_spl ),
inference(split_clause,[status(thm)],[f1086,f2651,f2683,f1549]) ).
fof(f2691,definition,
( sQ252_spl
<=> sP62_prd ),
introduced(definition,[new_symbols(definition,[sQ252_spl])],[split_symbol_definition]) ).
fof(f2694,plain,
( sQ252_spl
| ~ sQ248_spl ),
inference(split_clause,[status(thm)],[f1091,f2659,f2691]) ).
fof(f2695,plain,
( sQ51_spl
| ~ sQ55_spl
| ~ sQ248_spl ),
inference(split_clause,[status(thm)],[f1092,f2659,f1572,f1559]) ).
fof(f2696,plain,
( ~ sQ125_spl
| ~ sQ55_spl
| ~ sQ248_spl ),
inference(split_clause,[status(thm)],[f1093,f2659,f1572,f1796]) ).
fof(f2697,plain,
( sQ55_spl
| ~ sQ252_spl
| sQ248_spl ),
inference(split_clause,[status(thm)],[f1094,f2659,f2691,f1572]) ).
fof(f2698,plain,
( sQ125_spl
| ~ sQ51_spl
| ~ sQ252_spl
| sQ248_spl ),
inference(split_clause,[status(thm)],[f1095,f2659,f2691,f1559,f1796]) ).
fof(f2699,definition,
( sQ253_spl
<=> sP63_prd ),
introduced(definition,[new_symbols(definition,[sQ253_spl])],[split_symbol_definition]) ).
fof(f2702,plain,
( sQ253_spl
| ~ sQ249_spl ),
inference(split_clause,[status(thm)],[f1099,f2667,f2699]) ).
fof(f2703,plain,
( sQ55_spl
| ~ sQ51_spl
| ~ sQ249_spl ),
inference(split_clause,[status(thm)],[f1100,f2667,f1559,f1572]) ).
fof(f2705,plain,
( sQ51_spl
| ~ sQ253_spl
| sQ249_spl ),
inference(split_clause,[status(thm)],[f1102,f2667,f2699,f1559]) ).
fof(f2706,plain,
( sQ126_spl
| ~ sQ55_spl
| ~ sQ253_spl
| sQ249_spl ),
inference(split_clause,[status(thm)],[f1103,f2667,f2699,f1572,f1799]) ).
fof(f2707,definition,
( sQ254_spl
<=> sP64_prd ),
introduced(definition,[new_symbols(definition,[sQ254_spl])],[split_symbol_definition]) ).
fof(f2710,plain,
( sQ254_spl
| ~ sQ250_spl ),
inference(split_clause,[status(thm)],[f1107,f2675,f2707]) ).
fof(f2711,plain,
( sQ39_spl
| ~ sQ47_spl
| ~ sQ250_spl ),
inference(split_clause,[status(thm)],[f1108,f2675,f1546,f1520]) ).
fof(f2713,plain,
( sQ47_spl
| ~ sQ254_spl
| sQ250_spl ),
inference(split_clause,[status(thm)],[f1110,f2675,f2707,f1546]) ).
fof(f2715,definition,
( sQ255_spl
<=> sP65_prd ),
introduced(definition,[new_symbols(definition,[sQ255_spl])],[split_symbol_definition]) ).
fof(f2718,plain,
( sQ255_spl
| ~ sQ251_spl ),
inference(split_clause,[status(thm)],[f1115,f2683,f2715]) ).
fof(f2720,plain,
( ~ sQ128_spl
| ~ sQ43_spl
| ~ sQ251_spl ),
inference(split_clause,[status(thm)],[f1117,f2683,f1533,f1805]) ).
fof(f2721,plain,
( sQ43_spl
| ~ sQ255_spl
| sQ251_spl ),
inference(split_clause,[status(thm)],[f1118,f2683,f2715,f1533]) ).
fof(f2723,definition,
( sQ256_spl
<=> sP66_prd ),
introduced(definition,[new_symbols(definition,[sQ256_spl])],[split_symbol_definition]) ).
fof(f2726,plain,
( sQ256_spl
| ~ sQ252_spl ),
inference(split_clause,[status(thm)],[f1123,f2691,f2723]) ).
fof(f2728,plain,
( ~ sQ125_spl
| ~ sQ50_spl
| ~ sQ252_spl ),
inference(split_clause,[status(thm)],[f1125,f2691,f1556,f1796]) ).
fof(f2729,plain,
( sQ50_spl
| ~ sQ256_spl
| sQ252_spl ),
inference(split_clause,[status(thm)],[f1126,f2691,f2723,f1556]) ).
fof(f2730,plain,
( sQ125_spl
| ~ sQ50_spl
| ~ sQ256_spl
| sQ252_spl ),
inference(split_clause,[status(thm)],[f1127,f2691,f2723,f1556,f1796]) ).
fof(f2731,definition,
( sQ257_spl
<=> sP67_prd ),
introduced(definition,[new_symbols(definition,[sQ257_spl])],[split_symbol_definition]) ).
fof(f2734,plain,
( sQ257_spl
| ~ sQ253_spl ),
inference(split_clause,[status(thm)],[f1131,f2699,f2731]) ).
fof(f2735,plain,
( sQ34_spl
| ~ sQ46_spl
| ~ sQ253_spl ),
inference(split_clause,[status(thm)],[f1132,f2699,f1543,f1504]) ).
fof(f2736,plain,
( ~ sQ126_spl
| ~ sQ46_spl
| ~ sQ253_spl ),
inference(split_clause,[status(thm)],[f1133,f2699,f1543,f1799]) ).
fof(f2737,plain,
( sQ46_spl
| ~ sQ257_spl
| sQ253_spl ),
inference(split_clause,[status(thm)],[f1134,f2699,f2731,f1543]) ).
fof(f2738,plain,
( sQ126_spl
| ~ sQ34_spl
| ~ sQ257_spl
| sQ253_spl ),
inference(split_clause,[status(thm)],[f1135,f2699,f2731,f1504,f1799]) ).
fof(f2739,definition,
( sQ258_spl
<=> sP68_prd ),
introduced(definition,[new_symbols(definition,[sQ258_spl])],[split_symbol_definition]) ).
fof(f2742,plain,
( sQ258_spl
| ~ sQ254_spl ),
inference(split_clause,[status(thm)],[f1139,f2707,f2739]) ).
fof(f2743,plain,
( sQ38_spl
| ~ sQ42_spl
| ~ sQ254_spl ),
inference(split_clause,[status(thm)],[f1140,f2707,f1530,f1517]) ).
fof(f2745,plain,
( sQ42_spl
| ~ sQ258_spl
| sQ254_spl ),
inference(split_clause,[status(thm)],[f1142,f2707,f2739,f1530]) ).
fof(f2747,definition,
( sQ259_spl
<=> sP69_prd ),
introduced(definition,[new_symbols(definition,[sQ259_spl])],[split_symbol_definition]) ).
fof(f2750,plain,
( sQ259_spl
| ~ sQ255_spl ),
inference(split_clause,[status(thm)],[f1147,f2715,f2747]) ).
fof(f2751,plain,
( sQ42_spl
| ~ sQ38_spl
| ~ sQ255_spl ),
inference(split_clause,[status(thm)],[f1148,f2715,f1517,f1530]) ).
fof(f2753,plain,
( sQ38_spl
| ~ sQ259_spl
| sQ255_spl ),
inference(split_clause,[status(thm)],[f1150,f2715,f2747,f1517]) ).
fof(f2755,definition,
( sQ260_spl
<=> sP70_prd ),
introduced(definition,[new_symbols(definition,[sQ260_spl])],[split_symbol_definition]) ).
fof(f2758,plain,
( sQ260_spl
| ~ sQ256_spl ),
inference(split_clause,[status(thm)],[f1155,f2723,f2755]) ).
fof(f2759,plain,
( sQ29_spl
| ~ sQ45_spl
| ~ sQ256_spl ),
inference(split_clause,[status(thm)],[f1156,f2723,f1540,f1488]) ).
fof(f2760,plain,
( ~ sQ125_spl
| ~ sQ45_spl
| ~ sQ256_spl ),
inference(split_clause,[status(thm)],[f1157,f2723,f1540,f1796]) ).
fof(f2761,plain,
( sQ45_spl
| ~ sQ260_spl
| sQ256_spl ),
inference(split_clause,[status(thm)],[f1158,f2723,f2755,f1540]) ).
fof(f2762,plain,
( sQ125_spl
| ~ sQ29_spl
| ~ sQ260_spl
| sQ256_spl ),
inference(split_clause,[status(thm)],[f1159,f2723,f2755,f1488,f1796]) ).
fof(f2763,definition,
( sQ261_spl
<=> sP71_prd ),
introduced(definition,[new_symbols(definition,[sQ261_spl])],[split_symbol_definition]) ).
fof(f2766,plain,
( sQ261_spl
| ~ sQ257_spl ),
inference(split_clause,[status(thm)],[f1163,f2731,f2763]) ).
fof(f2767,plain,
( sQ33_spl
| ~ sQ41_spl
| ~ sQ257_spl ),
inference(split_clause,[status(thm)],[f1164,f2731,f1527,f1501]) ).
fof(f2768,plain,
( ~ sQ126_spl
| ~ sQ41_spl
| ~ sQ257_spl ),
inference(split_clause,[status(thm)],[f1165,f2731,f1527,f1799]) ).
fof(f2769,plain,
( sQ41_spl
| ~ sQ261_spl
| sQ257_spl ),
inference(split_clause,[status(thm)],[f1166,f2731,f2763,f1527]) ).
fof(f2771,definition,
( sQ262_spl
<=> sP72_prd ),
introduced(definition,[new_symbols(definition,[sQ262_spl])],[split_symbol_definition]) ).
fof(f2774,plain,
( sQ262_spl
| ~ sQ258_spl ),
inference(split_clause,[status(thm)],[f1171,f2739,f2771]) ).
fof(f2777,plain,
( sQ37_spl
| ~ sQ262_spl
| sQ258_spl ),
inference(split_clause,[status(thm)],[f1174,f2739,f2771,f1514]) ).
fof(f2778,plain,
( sQ127_spl
| ~ sQ37_spl
| ~ sQ262_spl
| sQ258_spl ),
inference(split_clause,[status(thm)],[f1175,f2739,f2771,f1514,f1802]) ).
fof(f2779,definition,
( sQ263_spl
<=> sP73_prd ),
introduced(definition,[new_symbols(definition,[sQ263_spl])],[split_symbol_definition]) ).
fof(f2782,plain,
( sQ263_spl
| ~ sQ259_spl ),
inference(split_clause,[status(thm)],[f1179,f2747,f2779]) ).
fof(f2783,plain,
( sQ41_spl
| ~ sQ33_spl
| ~ sQ259_spl ),
inference(split_clause,[status(thm)],[f1180,f2747,f1501,f1527]) ).
fof(f2785,plain,
( sQ33_spl
| ~ sQ263_spl
| sQ259_spl ),
inference(split_clause,[status(thm)],[f1182,f2747,f2779,f1501]) ).
fof(f2787,definition,
( sQ264_spl
<=> sP74_prd ),
introduced(definition,[new_symbols(definition,[sQ264_spl])],[split_symbol_definition]) ).
fof(f2790,plain,
( sQ264_spl
| ~ sQ260_spl ),
inference(split_clause,[status(thm)],[f1187,f2755,f2787]) ).
fof(f2791,plain,
( sQ28_spl
| ~ sQ40_spl
| ~ sQ260_spl ),
inference(split_clause,[status(thm)],[f1188,f2755,f1524,f1485]) ).
fof(f2792,plain,
( ~ sQ125_spl
| ~ sQ40_spl
| ~ sQ260_spl ),
inference(split_clause,[status(thm)],[f1189,f2755,f1524,f1796]) ).
fof(f2793,plain,
( sQ40_spl
| ~ sQ264_spl
| sQ260_spl ),
inference(split_clause,[status(thm)],[f1190,f2755,f2787,f1524]) ).
fof(f2794,plain,
( sQ125_spl
| ~ sQ28_spl
| ~ sQ264_spl
| sQ260_spl ),
inference(split_clause,[status(thm)],[f1191,f2755,f2787,f1485,f1796]) ).
fof(f2795,definition,
( sQ265_spl
<=> sP75_prd ),
introduced(definition,[new_symbols(definition,[sQ265_spl])],[split_symbol_definition]) ).
fof(f2798,plain,
( sQ265_spl
| ~ sQ261_spl ),
inference(split_clause,[status(thm)],[f1195,f2763,f2795]) ).
fof(f2799,plain,
( sQ32_spl
| ~ sQ36_spl
| ~ sQ261_spl ),
inference(split_clause,[status(thm)],[f1196,f2763,f1511,f1498]) ).
fof(f2800,plain,
( ~ sQ126_spl
| ~ sQ36_spl
| ~ sQ261_spl ),
inference(split_clause,[status(thm)],[f1197,f2763,f1511,f1799]) ).
fof(f2801,plain,
( sQ36_spl
| ~ sQ265_spl
| sQ261_spl ),
inference(split_clause,[status(thm)],[f1198,f2763,f2795,f1511]) ).
fof(f2803,definition,
( sQ266_spl
<=> sP76_prd ),
introduced(definition,[new_symbols(definition,[sQ266_spl])],[split_symbol_definition]) ).
fof(f2806,plain,
( sQ266_spl
| ~ sQ262_spl ),
inference(split_clause,[status(thm)],[f1203,f2771,f2803]) ).
fof(f2807,plain,
( sQ36_spl
| ~ sQ32_spl
| ~ sQ262_spl ),
inference(split_clause,[status(thm)],[f1204,f2771,f1498,f1511]) ).
fof(f2808,plain,
( ~ sQ127_spl
| ~ sQ32_spl
| ~ sQ262_spl ),
inference(split_clause,[status(thm)],[f1205,f2771,f1498,f1802]) ).
fof(f2809,plain,
( sQ32_spl
| ~ sQ266_spl
| sQ262_spl ),
inference(split_clause,[status(thm)],[f1206,f2771,f2803,f1498]) ).
fof(f2811,definition,
( sQ267_spl
<=> sP77_prd ),
introduced(definition,[new_symbols(definition,[sQ267_spl])],[split_symbol_definition]) ).
fof(f2814,plain,
( sQ267_spl
| ~ sQ263_spl ),
inference(split_clause,[status(thm)],[f1211,f2779,f2811]) ).
fof(f2815,plain,
( sQ40_spl
| ~ sQ28_spl
| ~ sQ263_spl ),
inference(split_clause,[status(thm)],[f1212,f2779,f1485,f1524]) ).
fof(f2817,plain,
( sQ28_spl
| ~ sQ267_spl
| sQ263_spl ),
inference(split_clause,[status(thm)],[f1214,f2779,f2811,f1485]) ).
fof(f2819,definition,
( sQ268_spl
<=> sP78_prd ),
introduced(definition,[new_symbols(definition,[sQ268_spl])],[split_symbol_definition]) ).
fof(f2822,plain,
( sQ268_spl
| ~ sQ264_spl ),
inference(split_clause,[status(thm)],[f1219,f2787,f2819]) ).
fof(f2823,plain,
( sQ27_spl
| ~ sQ35_spl
| ~ sQ264_spl ),
inference(split_clause,[status(thm)],[f1220,f2787,f1508,f1482]) ).
fof(f2824,plain,
( ~ sQ125_spl
| ~ sQ35_spl
| ~ sQ264_spl ),
inference(split_clause,[status(thm)],[f1221,f2787,f1508,f1796]) ).
fof(f2825,plain,
( sQ35_spl
| ~ sQ268_spl
| sQ264_spl ),
inference(split_clause,[status(thm)],[f1222,f2787,f2819,f1508]) ).
fof(f2827,definition,
( sQ269_spl
<=> sP79_prd ),
introduced(definition,[new_symbols(definition,[sQ269_spl])],[split_symbol_definition]) ).
fof(f2830,plain,
( sQ269_spl
| ~ sQ265_spl ),
inference(split_clause,[status(thm)],[f1227,f2795,f2827]) ).
fof(f2832,plain,
( ~ sQ126_spl
| ~ sQ31_spl
| ~ sQ265_spl ),
inference(split_clause,[status(thm)],[f1229,f2795,f1495,f1799]) ).
fof(f2833,plain,
( sQ31_spl
| ~ sQ269_spl
| sQ265_spl ),
inference(split_clause,[status(thm)],[f1230,f2795,f2827,f1495]) ).
fof(f2835,definition,
( sQ270_spl
<=> sP80_prd ),
introduced(definition,[new_symbols(definition,[sQ270_spl])],[split_symbol_definition]) ).
fof(f2838,plain,
( sQ270_spl
| ~ sQ266_spl ),
inference(split_clause,[status(thm)],[f1235,f2803,f2835]) ).
fof(f2839,plain,
( sQ35_spl
| ~ sQ27_spl
| ~ sQ266_spl ),
inference(split_clause,[status(thm)],[f1236,f2803,f1482,f1508]) ).
fof(f2841,plain,
( sQ27_spl
| ~ sQ270_spl
| sQ266_spl ),
inference(split_clause,[status(thm)],[f1238,f2803,f2835,f1482]) ).
fof(f2842,plain,
( sQ127_spl
| ~ sQ35_spl
| ~ sQ270_spl
| sQ266_spl ),
inference(split_clause,[status(thm)],[f1239,f2803,f2835,f1508,f1802]) ).
fof(f2843,definition,
( sQ271_spl
<=> sP81_prd ),
introduced(definition,[new_symbols(definition,[sQ271_spl])],[split_symbol_definition]) ).
fof(f2846,plain,
( sQ271_spl
| ~ sQ267_spl ),
inference(split_clause,[status(thm)],[f1243,f2811,f2843]) ).
fof(f2847,plain,
( sQ19_spl
| ~ sQ23_spl
| ~ sQ267_spl ),
inference(split_clause,[status(thm)],[f1244,f2811,f1469,f1456]) ).
fof(f2849,plain,
( sQ23_spl
| ~ sQ271_spl
| sQ267_spl ),
inference(split_clause,[status(thm)],[f1246,f2811,f2843,f1469]) ).
fof(f2850,plain,
( sQ128_spl
| ~ sQ19_spl
| ~ sQ271_spl
| sQ267_spl ),
inference(split_clause,[status(thm)],[f1247,f2811,f2843,f1456,f1805]) ).
fof(f2851,definition,
( sQ272_spl
<=> sP82_prd ),
introduced(definition,[new_symbols(definition,[sQ272_spl])],[split_symbol_definition]) ).
fof(f2854,plain,
( sQ272_spl
| ~ sQ268_spl ),
inference(split_clause,[status(thm)],[f1251,f2819,f2851]) ).
fof(f2855,plain,
( sQ26_spl
| ~ sQ30_spl
| ~ sQ268_spl ),
inference(split_clause,[status(thm)],[f1252,f2819,f1492,f1479]) ).
fof(f2856,plain,
( ~ sQ125_spl
| ~ sQ30_spl
| ~ sQ268_spl ),
inference(split_clause,[status(thm)],[f1253,f2819,f1492,f1796]) ).
fof(f2857,plain,
( sQ30_spl
| ~ sQ272_spl
| sQ268_spl ),
inference(split_clause,[status(thm)],[f1254,f2819,f2851,f1492]) ).
fof(f2859,definition,
( sQ273_spl
<=> sP83_prd ),
introduced(definition,[new_symbols(definition,[sQ273_spl])],[split_symbol_definition]) ).
fof(f2862,plain,
( sQ273_spl
| ~ sQ269_spl ),
inference(split_clause,[status(thm)],[f1259,f2827,f2859]) ).
fof(f2863,plain,
( sQ30_spl
| ~ sQ26_spl
| ~ sQ269_spl ),
inference(split_clause,[status(thm)],[f1260,f2827,f1479,f1492]) ).
fof(f2865,plain,
( sQ26_spl
| ~ sQ273_spl
| sQ269_spl ),
inference(split_clause,[status(thm)],[f1262,f2827,f2859,f1479]) ).
fof(f2866,plain,
( sQ126_spl
| ~ sQ30_spl
| ~ sQ273_spl
| sQ269_spl ),
inference(split_clause,[status(thm)],[f1263,f2827,f2859,f1492,f1799]) ).
fof(f2867,definition,
( sQ274_spl
<=> sP84_prd ),
introduced(definition,[new_symbols(definition,[sQ274_spl])],[split_symbol_definition]) ).
fof(f2870,plain,
( sQ274_spl
| ~ sQ270_spl ),
inference(split_clause,[status(thm)],[f1267,f2835,f2867]) ).
fof(f2871,plain,
( sQ14_spl
| ~ sQ22_spl
| ~ sQ270_spl ),
inference(split_clause,[status(thm)],[f1268,f2835,f1466,f1440]) ).
fof(f2873,plain,
( sQ22_spl
| ~ sQ274_spl
| sQ270_spl ),
inference(split_clause,[status(thm)],[f1270,f2835,f2867,f1466]) ).
fof(f2874,plain,
( sQ127_spl
| ~ sQ14_spl
| ~ sQ274_spl
| sQ270_spl ),
inference(split_clause,[status(thm)],[f1271,f2835,f2867,f1440,f1802]) ).
fof(f2875,definition,
( sQ275_spl
<=> sP85_prd ),
introduced(definition,[new_symbols(definition,[sQ275_spl])],[split_symbol_definition]) ).
fof(f2878,plain,
( sQ275_spl
| ~ sQ271_spl ),
inference(split_clause,[status(thm)],[f1275,f2843,f2875]) ).
fof(f2880,plain,
( ~ sQ128_spl
| ~ sQ18_spl
| ~ sQ271_spl ),
inference(split_clause,[status(thm)],[f1277,f2843,f1453,f1805]) ).
fof(f2881,plain,
( sQ18_spl
| ~ sQ275_spl
| sQ271_spl ),
inference(split_clause,[status(thm)],[f1278,f2843,f2875,f1453]) ).
fof(f2882,plain,
( sQ128_spl
| ~ sQ18_spl
| ~ sQ275_spl
| sQ271_spl ),
inference(split_clause,[status(thm)],[f1279,f2843,f2875,f1453,f1805]) ).
fof(f2883,definition,
( sQ276_spl
<=> sP86_prd ),
introduced(definition,[new_symbols(definition,[sQ276_spl])],[split_symbol_definition]) ).
fof(f2886,plain,
( sQ276_spl
| ~ sQ272_spl ),
inference(split_clause,[status(thm)],[f1283,f2851,f2883]) ).
fof(f2888,plain,
( ~ sQ125_spl
| ~ sQ25_spl
| ~ sQ272_spl ),
inference(split_clause,[status(thm)],[f1285,f2851,f1476,f1796]) ).
fof(f2889,plain,
( sQ25_spl
| ~ sQ276_spl
| sQ272_spl ),
inference(split_clause,[status(thm)],[f1286,f2851,f2883,f1476]) ).
fof(f2890,plain,
( sQ125_spl
| ~ sQ25_spl
| ~ sQ276_spl
| sQ272_spl ),
inference(split_clause,[status(thm)],[f1287,f2851,f2883,f1476,f1796]) ).
fof(f2891,definition,
( sQ277_spl
<=> sP87_prd ),
introduced(definition,[new_symbols(definition,[sQ277_spl])],[split_symbol_definition]) ).
fof(f2894,plain,
( sQ277_spl
| ~ sQ273_spl ),
inference(split_clause,[status(thm)],[f1291,f2859,f2891]) ).
fof(f2895,plain,
( sQ9_spl
| ~ sQ21_spl
| ~ sQ273_spl ),
inference(split_clause,[status(thm)],[f1292,f2859,f1463,f1424]) ).
fof(f2897,plain,
( sQ21_spl
| ~ sQ277_spl
| sQ273_spl ),
inference(split_clause,[status(thm)],[f1294,f2859,f2891,f1463]) ).
fof(f2899,definition,
( sQ278_spl
<=> sP88_prd ),
introduced(definition,[new_symbols(definition,[sQ278_spl])],[split_symbol_definition]) ).
fof(f2902,plain,
( sQ278_spl
| ~ sQ274_spl ),
inference(split_clause,[status(thm)],[f1299,f2867,f2899]) ).
fof(f2903,plain,
( sQ13_spl
| ~ sQ17_spl
| ~ sQ274_spl ),
inference(split_clause,[status(thm)],[f1300,f2867,f1450,f1437]) ).
fof(f2905,plain,
( sQ17_spl
| ~ sQ278_spl
| sQ274_spl ),
inference(split_clause,[status(thm)],[f1302,f2867,f2899,f1450]) ).
fof(f2906,plain,
( sQ127_spl
| ~ sQ13_spl
| ~ sQ278_spl
| sQ274_spl ),
inference(split_clause,[status(thm)],[f1303,f2867,f2899,f1437,f1802]) ).
fof(f2907,definition,
( sQ279_spl
<=> sP89_prd ),
introduced(definition,[new_symbols(definition,[sQ279_spl])],[split_symbol_definition]) ).
fof(f2910,plain,
( sQ279_spl
| ~ sQ275_spl ),
inference(split_clause,[status(thm)],[f1307,f2875,f2907]) ).
fof(f2911,plain,
( sQ17_spl
| ~ sQ13_spl
| ~ sQ275_spl ),
inference(split_clause,[status(thm)],[f1308,f2875,f1437,f1450]) ).
fof(f2912,plain,
( ~ sQ128_spl
| ~ sQ13_spl
| ~ sQ275_spl ),
inference(split_clause,[status(thm)],[f1309,f2875,f1437,f1805]) ).
fof(f2913,plain,
( sQ13_spl
| ~ sQ279_spl
| sQ275_spl ),
inference(split_clause,[status(thm)],[f1310,f2875,f2907,f1437]) ).
fof(f2914,plain,
( sQ128_spl
| ~ sQ17_spl
| ~ sQ279_spl
| sQ275_spl ),
inference(split_clause,[status(thm)],[f1311,f2875,f2907,f1450,f1805]) ).
fof(f2915,definition,
( sQ280_spl
<=> sP90_prd ),
introduced(definition,[new_symbols(definition,[sQ280_spl])],[split_symbol_definition]) ).
fof(f2918,plain,
( sQ280_spl
| ~ sQ276_spl ),
inference(split_clause,[status(thm)],[f1315,f2883,f2915]) ).
fof(f2919,plain,
( sQ4_spl
| ~ sQ20_spl
| ~ sQ276_spl ),
inference(split_clause,[status(thm)],[f1316,f2883,f1460,f1408]) ).
fof(f2920,plain,
( ~ sQ125_spl
| ~ sQ20_spl
| ~ sQ276_spl ),
inference(split_clause,[status(thm)],[f1317,f2883,f1460,f1796]) ).
fof(f2921,plain,
( sQ20_spl
| ~ sQ280_spl
| sQ276_spl ),
inference(split_clause,[status(thm)],[f1318,f2883,f2915,f1460]) ).
fof(f2922,plain,
( sQ125_spl
| ~ sQ4_spl
| ~ sQ280_spl
| sQ276_spl ),
inference(split_clause,[status(thm)],[f1319,f2883,f2915,f1408,f1796]) ).
fof(f2923,definition,
( sQ281_spl
<=> sP91_prd ),
introduced(definition,[new_symbols(definition,[sQ281_spl])],[split_symbol_definition]) ).
fof(f2926,plain,
( sQ281_spl
| ~ sQ277_spl ),
inference(split_clause,[status(thm)],[f1323,f2891,f2923]) ).
fof(f2927,plain,
( sQ8_spl
| ~ sQ16_spl
| ~ sQ277_spl ),
inference(split_clause,[status(thm)],[f1324,f2891,f1447,f1421]) ).
fof(f2929,plain,
( sQ16_spl
| ~ sQ281_spl
| sQ277_spl ),
inference(split_clause,[status(thm)],[f1326,f2891,f2923,f1447]) ).
fof(f2930,plain,
( sQ126_spl
| ~ sQ8_spl
| ~ sQ281_spl
| sQ277_spl ),
inference(split_clause,[status(thm)],[f1327,f2891,f2923,f1421,f1799]) ).
fof(f2931,definition,
( sQ282_spl
<=> sP92_prd ),
introduced(definition,[new_symbols(definition,[sQ282_spl])],[split_symbol_definition]) ).
fof(f2934,plain,
( sQ282_spl
| ~ sQ278_spl ),
inference(split_clause,[status(thm)],[f1331,f2899,f2931]) ).
fof(f2936,plain,
( ~ sQ127_spl
| ~ sQ12_spl
| ~ sQ278_spl ),
inference(split_clause,[status(thm)],[f1333,f2899,f1434,f1802]) ).
fof(f2937,plain,
( sQ12_spl
| ~ sQ282_spl
| sQ278_spl ),
inference(split_clause,[status(thm)],[f1334,f2899,f2931,f1434]) ).
fof(f2938,plain,
( sQ127_spl
| ~ sQ12_spl
| ~ sQ282_spl
| sQ278_spl ),
inference(split_clause,[status(thm)],[f1335,f2899,f2931,f1434,f1802]) ).
fof(f2939,plain,
( sQ15_spl
| ~ sQ3_spl
| ~ sQ279_spl ),
inference(split_clause,[status(thm)],[f1337,f2907,f1405,f1444]) ).
fof(f2940,plain,
( ~ sQ128_spl
| ~ sQ3_spl
| ~ sQ279_spl ),
inference(split_clause,[status(thm)],[f1338,f2907,f1405,f1805]) ).
fof(f2941,plain,
( sQ16_spl
| ~ sQ8_spl
| ~ sQ279_spl ),
inference(split_clause,[status(thm)],[f1339,f2907,f1421,f1447]) ).
fof(f2942,plain,
( ~ sQ128_spl
| ~ sQ8_spl
| ~ sQ279_spl ),
inference(split_clause,[status(thm)],[f1340,f2907,f1421,f1805]) ).
fof(f2943,plain,
( sQ8_spl
| sQ3_spl
| sQ279_spl ),
inference(split_clause,[status(thm)],[f1341,f2907,f1405,f1421]) ).
fof(f2944,plain,
( sQ128_spl
| ~ sQ16_spl
| sQ3_spl
| sQ279_spl ),
inference(split_clause,[status(thm)],[f1342,f2907,f1405,f1447,f1805]) ).
fof(f2945,plain,
( sQ8_spl
| sQ128_spl
| ~ sQ15_spl
| sQ279_spl ),
inference(split_clause,[status(thm)],[f1343,f2907,f1444,f1805,f1421]) ).
fof(f2947,definition,
( sQ283_spl
<=> sP93_prd ),
introduced(definition,[new_symbols(definition,[sQ283_spl])],[split_symbol_definition]) ).
fof(f2950,plain,
( sQ283_spl
| ~ sQ280_spl ),
inference(split_clause,[status(thm)],[f1348,f2915,f2947]) ).
fof(f2951,plain,
( sQ3_spl
| ~ sQ15_spl
| ~ sQ280_spl ),
inference(split_clause,[status(thm)],[f1349,f2915,f1444,f1405]) ).
fof(f2953,plain,
( sQ15_spl
| ~ sQ283_spl
| sQ280_spl ),
inference(split_clause,[status(thm)],[f1351,f2915,f2947,f1444]) ).
fof(f2954,plain,
( sQ125_spl
| ~ sQ3_spl
| ~ sQ283_spl
| sQ280_spl ),
inference(split_clause,[status(thm)],[f1352,f2915,f2947,f1405,f1796]) ).
fof(f2955,definition,
( sQ284_spl
<=> sP94_prd ),
introduced(definition,[new_symbols(definition,[sQ284_spl])],[split_symbol_definition]) ).
fof(f2958,plain,
( sQ284_spl
| ~ sQ281_spl ),
inference(split_clause,[status(thm)],[f1356,f2923,f2955]) ).
fof(f2959,plain,
( sQ7_spl
| ~ sQ11_spl
| ~ sQ281_spl ),
inference(split_clause,[status(thm)],[f1357,f2923,f1431,f1418]) ).
fof(f2960,plain,
( ~ sQ126_spl
| ~ sQ11_spl
| ~ sQ281_spl ),
inference(split_clause,[status(thm)],[f1358,f2923,f1431,f1799]) ).
fof(f2961,plain,
( sQ11_spl
| ~ sQ284_spl
| sQ281_spl ),
inference(split_clause,[status(thm)],[f1359,f2923,f2955,f1431]) ).
fof(f2962,plain,
( sQ126_spl
| ~ sQ7_spl
| ~ sQ284_spl
| sQ281_spl ),
inference(split_clause,[status(thm)],[f1360,f2923,f2955,f1418,f1799]) ).
fof(f2963,plain,
( sQ10_spl
| ~ sQ2_spl
| ~ sQ282_spl ),
inference(split_clause,[status(thm)],[f1362,f2931,f1402,f1428]) ).
fof(f2964,plain,
( ~ sQ127_spl
| ~ sQ2_spl
| ~ sQ282_spl ),
inference(split_clause,[status(thm)],[f1363,f2931,f1402,f1802]) ).
fof(f2965,plain,
( sQ11_spl
| ~ sQ7_spl
| ~ sQ282_spl ),
inference(split_clause,[status(thm)],[f1364,f2931,f1418,f1431]) ).
fof(f2966,plain,
( ~ sQ127_spl
| ~ sQ7_spl
| ~ sQ282_spl ),
inference(split_clause,[status(thm)],[f1365,f2931,f1418,f1802]) ).
fof(f2967,plain,
( sQ7_spl
| sQ2_spl
| sQ282_spl ),
inference(split_clause,[status(thm)],[f1366,f2931,f1402,f1418]) ).
fof(f2968,plain,
( sQ127_spl
| ~ sQ11_spl
| sQ2_spl
| sQ282_spl ),
inference(split_clause,[status(thm)],[f1367,f2931,f1402,f1431,f1802]) ).
fof(f2969,plain,
( sQ7_spl
| sQ127_spl
| ~ sQ10_spl
| sQ282_spl ),
inference(split_clause,[status(thm)],[f1368,f2931,f1428,f1802,f1418]) ).
fof(f2971,definition,
( sQ285_spl
<=> sP95_prd ),
introduced(definition,[new_symbols(definition,[sQ285_spl])],[split_symbol_definition]) ).
fof(f2974,plain,
( sQ285_spl
| ~ sQ283_spl ),
inference(split_clause,[status(thm)],[f1373,f2947,f2971]) ).
fof(f2975,plain,
( sQ2_spl
| ~ sQ10_spl
| ~ sQ283_spl ),
inference(split_clause,[status(thm)],[f1374,f2947,f1428,f1402]) ).
fof(f2977,plain,
( sQ10_spl
| ~ sQ285_spl
| sQ283_spl ),
inference(split_clause,[status(thm)],[f1376,f2947,f2971,f1428]) ).
fof(f2978,plain,
( sQ125_spl
| ~ sQ2_spl
| ~ sQ285_spl
| sQ283_spl ),
inference(split_clause,[status(thm)],[f1377,f2947,f2971,f1402,f1796]) ).
fof(f2979,plain,
( sQ5_spl
| ~ sQ1_spl
| ~ sQ284_spl ),
inference(split_clause,[status(thm)],[f1379,f2955,f1399,f1412]) ).
fof(f2980,plain,
( ~ sQ126_spl
| ~ sQ1_spl
| ~ sQ284_spl ),
inference(split_clause,[status(thm)],[f1380,f2955,f1399,f1799]) ).
fof(f2982,plain,
( ~ sQ126_spl
| ~ sQ6_spl
| ~ sQ284_spl ),
inference(split_clause,[status(thm)],[f1382,f2955,f1415,f1799]) ).
fof(f2983,plain,
( sQ6_spl
| sQ1_spl
| sQ284_spl ),
inference(split_clause,[status(thm)],[f1383,f2955,f1399,f1415]) ).
fof(f2984,plain,
( sQ126_spl
| ~ sQ6_spl
| sQ1_spl
| sQ284_spl ),
inference(split_clause,[status(thm)],[f1384,f2955,f1399,f1415,f1799]) ).
fof(f2985,plain,
( sQ6_spl
| sQ126_spl
| ~ sQ5_spl
| sQ284_spl ),
inference(split_clause,[status(thm)],[f1385,f2955,f1412,f1799,f1415]) ).
fof(f2988,plain,
( ~ sQ125_spl
| ~ sQ0_spl
| ~ sQ285_spl ),
inference(split_clause,[status(thm)],[f1389,f2971,f1396,f1796]) ).
fof(f2989,plain,
( sQ1_spl
| ~ sQ5_spl
| ~ sQ285_spl ),
inference(split_clause,[status(thm)],[f1390,f2971,f1412,f1399]) ).
fof(f2991,plain,
( sQ5_spl
| sQ0_spl
| sQ285_spl ),
inference(split_clause,[status(thm)],[f1392,f2971,f1396,f1412]) ).
fof(f3000,plain,
( sQ174_spl
| ~ sQ1_spl
| e4 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f1400,f2088]) ).
fof(f3003,plain,
( sQ166_spl
| ~ sQ1_spl
| e2 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f1400,f2052]) ).
fof(f3004,plain,
( sQ172_spl
| ~ sQ1_spl
| e2 != op(op(e0,e0),e1) ),
inference(backward_demodulation,[status(thm)],[f1400,f2077]) ).
fof(f3006,plain,
( sQ171_spl
| ~ sQ1_spl
| e3 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f1400,f2073]) ).
fof(f3008,plain,
( ~ sQ1_spl
| e1 != op(e0,e4) ),
inference(backward_demodulation,[status(thm)],[f1400,f266]) ).
fof(f3010,plain,
( ~ sQ1_spl
| e1 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f1400,f264]) ).
fof(f3011,plain,
( ~ sQ1_spl
| e1 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f1400,f263]) ).
fof(f3014,plain,
( ~ sQ1_spl
| e1 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f1400,f214]) ).
fof(f3019,plain,
( sQ143_spl
| ~ sQ33_spl
| e0 != op(op(op(e1,e1),e1),op(e3,e1)) ),
inference(backward_demodulation,[status(thm)],[f1502,f1959]) ).
fof(f3022,plain,
( sQ183_spl
| ~ sQ33_spl
| e3 != op(op(op(e1,e1),e1),op(e3,e1)) ),
inference(backward_demodulation,[status(thm)],[f1502,f2145]) ).
fof(f3023,plain,
( sQ156_spl
| ~ sQ33_spl
| e4 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f1502,f2010]) ).
fof(f3025,plain,
( sQ146_spl
| ~ sQ33_spl
| e3 != op(op(e1,e1),e3) ),
inference(backward_demodulation,[status(thm)],[f1502,f1969]) ).
fof(f3026,plain,
( sQ144_spl
| ~ sQ33_spl
| e2 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f1502,f1962]) ).
fof(f3030,plain,
( sQ182_spl
| ~ sQ33_spl
| e0 != op(op(e1,e1),e3) ),
inference(backward_demodulation,[status(thm)],[f1502,f2133]) ).
fof(f3031,plain,
( ~ sQ33_spl
| e3 != op(e1,e4) ),
inference(backward_demodulation,[status(thm)],[f1502,f279]) ).
fof(f3034,plain,
( ~ sQ33_spl
| op(e1,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f1502,f273]) ).
fof(f3035,plain,
( ~ sQ33_spl
| e3 != op(e4,e1) ),
inference(backward_demodulation,[status(thm)],[f1502,f229]) ).
fof(f3036,plain,
( ~ sQ33_spl
| e3 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f1502,f228]) ).
fof(f3037,plain,
( ~ sQ33_spl
| e3 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f1502,f227]) ).
fof(f3038,plain,
( ~ sQ33_spl
| op(e0,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f1502,f223]) ).
fof(f3044,plain,
( sQ133_spl
| ~ sQ63_spl
| e4 != op(op(e2,e2),e3) ),
inference(backward_demodulation,[status(thm)],[f1598,f1923]) ).
fof(f3048,plain,
( sQ134_spl
| ~ sQ63_spl
| e3 != op(op(e2,e2),e3) ),
inference(backward_demodulation,[status(thm)],[f1598,f1927]) ).
fof(f3049,plain,
( sQ132_spl
| ~ sQ63_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f1598,f1920]) ).
fof(f3053,plain,
( sQ173_spl
| ~ sQ63_spl
| e0 != op(op(e2,e2),e3) ),
inference(backward_demodulation,[status(thm)],[f1598,f2082]) ).
fof(f3059,plain,
( ~ sQ63_spl
| e3 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f1598,f240]) ).
fof(f3060,plain,
( ~ sQ63_spl
| op(e1,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f1598,f237]) ).
fof(f3066,plain,
( sQ161_spl
| ~ sQ92_spl
| e1 != op(op(op(e3,e3),e3),op(e2,e3)) ),
inference(backward_demodulation,[status(thm)],[f1691,f2033]) ).
fof(f3067,plain,
( sQ137_spl
| ~ sQ92_spl
| e4 != op(op(e3,e3),e2) ),
inference(backward_demodulation,[status(thm)],[f1691,f1937]) ).
fof(f3069,plain,
( sQ158_spl
| ~ sQ92_spl
| e4 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f1691,f2020]) ).
fof(f3072,plain,
( sQ136_spl
| ~ sQ92_spl
| e1 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f1691,f1934]) ).
fof(f3074,plain,
( sQ189_spl
| ~ sQ92_spl
| e4 != op(op(op(e3,e3),e3),op(e2,e3)) ),
inference(backward_demodulation,[status(thm)],[f1691,f2191]) ).
fof(f3077,plain,
( ~ sQ92_spl
| e2 != op(e3,e4) ),
inference(backward_demodulation,[status(thm)],[f1691,f302]) ).
fof(f3078,plain,
( ~ sQ92_spl
| op(e3,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f1691,f300]) ).
fof(f3079,plain,
( ~ sQ92_spl
| op(e3,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f1691,f298]) ).
fof(f3080,plain,
( ~ sQ92_spl
| op(e3,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f1691,f295]) ).
fof(f3083,plain,
( ~ sQ92_spl
| op(e1,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f1691,f248]) ).
fof(f3092,plain,
( ~ sQ22_spl
| ~ sQ21_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f1464,f1467]) ).
fof(f3093,plain,
( ~ sQ22_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3092,f317]) ).
fof(f3094,plain,
( ~ sQ22_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f3093]) ).
fof(f3098,plain,
( ~ sQ45_spl
| e0 != op(e4,e4) ),
inference(backward_demodulation,[status(thm)],[f1541,f259]) ).
fof(f3099,plain,
( ~ sQ45_spl
| e0 != op(e3,e4) ),
inference(backward_demodulation,[status(thm)],[f1541,f258]) ).
fof(f3101,plain,
( ~ sQ47_spl
| ~ sQ45_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f1541,f1547]) ).
fof(f3102,plain,
( ~ sQ47_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3101,f314]) ).
fof(f3103,plain,
( ~ sQ47_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f3102]) ).
fof(f3105,plain,
( ~ sQ70_spl
| op(e2,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f1621,f289]) ).
fof(f3109,plain,
( ~ sQ71_spl
| ~ sQ70_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f1621,f1624]) ).
fof(f3110,plain,
( ~ sQ71_spl
| ~ sQ70_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3109,f313]) ).
fof(f3111,plain,
( ~ sQ71_spl
| ~ sQ70_spl ),
inference(contradiction_clause,[status(thm)],[f3110]) ).
fof(f3116,plain,
( ~ sQ97_spl
| ~ sQ95_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f1701,f1707]) ).
fof(f3117,plain,
( ~ sQ97_spl
| ~ sQ95_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3116,f314]) ).
fof(f3118,plain,
( ~ sQ97_spl
| ~ sQ95_spl ),
inference(contradiction_clause,[status(thm)],[f3117]) ).
fof(f3121,plain,
( sQ141_spl
| ~ sQ123_spl
| e3 != op(op(e4,e4),e3) ),
inference(backward_demodulation,[status(thm)],[f1790,f1951]) ).
fof(f3127,plain,
( sQ150_spl
| ~ sQ123_spl
| e1 != op(op(e4,e4),e3) ),
inference(backward_demodulation,[status(thm)],[f1790,f1985]) ).
fof(f3129,plain,
( sQ149_spl
| ~ sQ123_spl
| e2 != op(e3,e4) ),
inference(backward_demodulation,[status(thm)],[f1790,f1981]) ).
fof(f3130,plain,
( sQ170_spl
| ~ sQ123_spl
| e0 != op(op(e4,e4),e3) ),
inference(backward_demodulation,[status(thm)],[f1790,f2069]) ).
fof(f3132,plain,
( ~ sQ123_spl
| op(e4,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f1790,f311]) ).
fof(f3133,plain,
( ~ sQ123_spl
| op(e4,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f1790,f309]) ).
fof(f3134,plain,
( ~ sQ123_spl
| op(e4,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f1790,f306]) ).
fof(f3135,plain,
( ~ sQ8_spl
| e3 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f1422,f268]) ).
fof(f3136,plain,
( ~ sQ8_spl
| e3 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f1422,f267]) ).
fof(f3137,plain,
( ~ sQ8_spl
| e3 != op(e4,e1) ),
inference(backward_demodulation,[status(thm)],[f1422,f226]) ).
fof(f3138,plain,
( ~ sQ8_spl
| e3 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f1422,f225]) ).
fof(f3139,plain,
( ~ sQ8_spl
| e3 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f1422,f224]) ).
fof(f3140,plain,
( ~ sQ20_spl
| ~ sQ23_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f1470,f1461]) ).
fof(f3141,plain,
( ~ sQ20_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3140,f315]) ).
fof(f3142,plain,
( ~ sQ20_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f3141]) ).
fof(f3143,plain,
( ~ sQ46_spl
| ~ sQ48_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f1550,f1544]) ).
fof(f3144,plain,
( ~ sQ46_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3143,f318]) ).
fof(f3145,plain,
( ~ sQ46_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f3144]) ).
fof(f3146,plain,
( ~ sQ72_spl
| ~ sQ73_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f1630,f1627]) ).
fof(f3147,plain,
( ~ sQ72_spl
| ~ sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3146,f320]) ).
fof(f3148,plain,
( ~ sQ72_spl
| ~ sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f3147]) ).
fof(f3150,plain,
( ~ sQ127_spl
| op(e4,e2) = e4 ),
inference(backward_demodulation,[status(thm)],[f1803,f161]) ).
fof(f3151,plain,
( ~ sQ127_spl
| op(e2,e4) = e4 ),
inference(backward_demodulation,[status(thm)],[f1803,f160]) ).
fof(f3152,plain,
( ~ sQ127_spl
| op(e3,e2) = e3 ),
inference(backward_demodulation,[status(thm)],[f1803,f159]) ).
fof(f3153,plain,
( ~ sQ127_spl
| op(e2,e3) = e3 ),
inference(backward_demodulation,[status(thm)],[f1803,f158]) ).
fof(f3154,plain,
( ~ sQ127_spl
| op(e2,e2) = e2 ),
inference(backward_demodulation,[status(thm)],[f1803,f157]) ).
fof(f3156,plain,
( ~ sQ127_spl
| op(e1,e2) = e1 ),
inference(backward_demodulation,[status(thm)],[f1803,f155]) ).
fof(f3157,plain,
( ~ sQ127_spl
| op(e2,e1) = e1 ),
inference(backward_demodulation,[status(thm)],[f1803,f154]) ).
fof(f3158,plain,
( ~ sQ127_spl
| op(e0,e2) = e0 ),
inference(backward_demodulation,[status(thm)],[f1803,f153]) ).
fof(f3159,plain,
( ~ sQ127_spl
| op(e2,e0) = e0 ),
inference(backward_demodulation,[status(thm)],[f1803,f152]) ).
fof(f3165,plain,
( ~ sQ13_spl
| e3 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f1438,f235]) ).
fof(f3166,plain,
( ~ sQ13_spl
| e3 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f1438,f233]) ).
fof(f3167,plain,
( ~ sQ128_spl
| ~ sQ127_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f1803,f1806]) ).
fof(f3168,plain,
( ~ sQ128_spl
| ~ sQ127_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3167,f320]) ).
fof(f3169,plain,
( ~ sQ128_spl
| ~ sQ127_spl ),
inference(contradiction_clause,[status(thm)],[f3168]) ).
fof(f3173,plain,
( ~ sQ25_spl
| e0 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f1477,f218]) ).
fof(f3174,plain,
( ~ sQ25_spl
| e0 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f1477,f217]) ).
fof(f3175,plain,
( ~ sQ18_spl
| ~ sQ17_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f1451,f1454]) ).
fof(f3176,plain,
( ~ sQ18_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3175,f320]) ).
fof(f3177,plain,
( ~ sQ18_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f3176]) ).
fof(f3182,plain,
( ~ sQ40_spl
| e0 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f1525,f247]) ).
fof(f3183,plain,
( ~ sQ41_spl
| ~ sQ40_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f1525,f1528]) ).
fof(f3184,plain,
( ~ sQ41_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3183,f313]) ).
fof(f3185,plain,
( ~ sQ41_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f3184]) ).
fof(f3186,plain,
( ~ sQ37_spl
| ~ sQ35_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f1509,f1515]) ).
fof(f3187,plain,
( ~ sQ37_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3186,f314]) ).
fof(f3188,plain,
( ~ sQ37_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f3187]) ).
fof(f3189,plain,
( ~ sQ50_spl
| e0 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f1557,f285]) ).
fof(f3191,plain,
( ~ sQ50_spl
| e0 != op(e4,e0) ),
inference(backward_demodulation,[status(thm)],[f1557,f221]) ).
fof(f3192,plain,
( ~ sQ50_spl
| e0 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f1557,f220]) ).
fof(f3193,plain,
( ~ sQ56_spl
| e1 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f1576,f288]) ).
fof(f3195,plain,
( ~ sQ56_spl
| e1 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f1576,f230]) ).
fof(f3197,plain,
( ~ sQ57_spl
| ~ sQ56_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f1576,f1579]) ).
fof(f3198,plain,
( ~ sQ57_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3197,f317]) ).
fof(f3199,plain,
( ~ sQ57_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f3198]) ).
fof(f3203,plain,
( ~ sQ68_spl
| ~ sQ65_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f1605,f1614]) ).
fof(f3204,plain,
( ~ sQ68_spl
| ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3203,f315]) ).
fof(f3205,plain,
( ~ sQ68_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f3204]) ).
fof(f3208,plain,
( ~ sQ87_spl
| e2 != op(e4,e2) ),
inference(backward_demodulation,[status(thm)],[f1675,f242]) ).
fof(f3210,plain,
( ~ sQ100_spl
| e0 != op(e4,e2) ),
inference(backward_demodulation,[status(thm)],[f1717,f304]) ).
fof(f3215,plain,
( ~ sQ102_spl
| ~ sQ100_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f1717,f1723]) ).
fof(f3216,plain,
( ~ sQ102_spl
| ~ sQ100_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3215,f314]) ).
fof(f3217,plain,
( ~ sQ102_spl
| ~ sQ100_spl ),
inference(contradiction_clause,[status(thm)],[f3216]) ).
fof(f3218,plain,
( ~ sQ106_spl
| ~ sQ105_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f1733,f1736]) ).
fof(f3219,plain,
( ~ sQ106_spl
| ~ sQ105_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3218,f313]) ).
fof(f3220,plain,
( ~ sQ106_spl
| ~ sQ105_spl ),
inference(contradiction_clause,[status(thm)],[f3219]) ).
fof(f3221,plain,
( ~ sQ118_spl
| ~ sQ117_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f1771,f1774]) ).
fof(f3222,plain,
( ~ sQ118_spl
| ~ sQ117_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3221,f320]) ).
fof(f3223,plain,
( ~ sQ118_spl
| ~ sQ117_spl ),
inference(contradiction_clause,[status(thm)],[f3222]) ).
fof(f3227,plain,
( ~ sQ25_spl
| op(e0,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f1477,f213]) ).
fof(f3228,plain,
( ~ sQ24_spl
| op(e0,e3) != e4 ),
inference(forward_demodulation,[status(thm)],[f1473,f272]) ).
fof(f3229,plain,
( ~ sQ24_spl
| op(e0,e2) != e4 ),
inference(forward_demodulation,[status(thm)],[f1473,f271]) ).
fof(f3231,plain,
( ~ sQ24_spl
| e4 != op(e4,e4) ),
inference(forward_demodulation,[status(thm)],[f1473,f256]) ).
fof(f3232,plain,
( ~ sQ24_spl
| ~ sQ124_spl
| e4 != e4 ),
inference(forward_demodulation,[status(thm)],[f1793,f3231]) ).
fof(f3233,plain,
( ~ sQ24_spl
| ~ sQ124_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3232]) ).
fof(f3234,plain,
( ~ sQ24_spl
| ~ sQ124_spl ),
inference(contradiction_clause,[status(thm)],[f3233]) ).
fof(f3235,plain,
( ~ sQ24_spl
| e4 != op(e3,e4) ),
inference(forward_demodulation,[status(thm)],[f1473,f255]) ).
fof(f3236,plain,
( ~ sQ24_spl
| ~ sQ99_spl
| e4 != e4 ),
inference(forward_demodulation,[status(thm)],[f1713,f3235]) ).
fof(f3237,plain,
( ~ sQ24_spl
| ~ sQ99_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3236]) ).
fof(f3238,plain,
( ~ sQ24_spl
| ~ sQ99_spl ),
inference(contradiction_clause,[status(thm)],[f3237]) ).
fof(f3240,plain,
( ~ sQ49_spl
| op(e0,e4) != e4 ),
inference(forward_demodulation,[status(thm)],[f1553,f253]) ).
fof(f3243,plain,
( ~ sQ49_spl
| op(e1,e2) != e4 ),
inference(forward_demodulation,[status(thm)],[f1553,f281]) ).
fof(f3247,plain,
( ~ sQ49_spl
| e4 != op(e3,e4) ),
inference(forward_demodulation,[status(thm)],[f1553,f258]) ).
fof(f3248,plain,
( ~ sQ49_spl
| e4 != op(e2,e4) ),
inference(forward_demodulation,[status(thm)],[f1553,f257]) ).
fof(f3249,plain,
( ~ sQ49_spl
| ~ sQ74_spl
| e4 != e4 ),
inference(forward_demodulation,[status(thm)],[f1633,f3248]) ).
fof(f3250,plain,
( ~ sQ49_spl
| ~ sQ74_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3249]) ).
fof(f3251,plain,
( ~ sQ49_spl
| ~ sQ74_spl ),
inference(contradiction_clause,[status(thm)],[f3250]) ).
fof(f3257,plain,
( ~ sQ25_spl
| ~ sQ75_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f1637,f3173]) ).
fof(f3258,plain,
( ~ sQ25_spl
| ~ sQ75_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3257]) ).
fof(f3259,plain,
( ~ sQ25_spl
| ~ sQ75_spl ),
inference(contradiction_clause,[status(thm)],[f3258]) ).
fof(f3260,plain,
( ~ sQ25_spl
| ~ sQ50_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f1557,f3174]) ).
fof(f3261,plain,
( ~ sQ25_spl
| ~ sQ50_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3260]) ).
fof(f3262,plain,
( ~ sQ25_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f3261]) ).
fof(f3307,plain,
( ~ sQ31_spl
| e1 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f1496,f277]) ).
fof(f3310,plain,
( ~ sQ31_spl
| e1 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f1496,f228]) ).
fof(f3311,plain,
( ~ sQ31_spl
| ~ sQ81_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f1656,f3310]) ).
fof(f3312,plain,
( ~ sQ31_spl
| ~ sQ81_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3311]) ).
fof(f3313,plain,
( ~ sQ31_spl
| ~ sQ81_spl ),
inference(contradiction_clause,[status(thm)],[f3312]) ).
fof(f3316,plain,
( ~ sQ112_spl
| op(e0,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f1755,f236]) ).
fof(f3317,plain,
( ~ sQ87_spl
| op(e0,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f1675,f235]) ).
fof(f3321,plain,
( ~ sQ36_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1512,f3307]) ).
fof(f3322,plain,
( ~ sQ36_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f3321]) ).
fof(f3367,plain,
( ~ sQ62_spl
| e2 != op(e2,e4) ),
inference(forward_demodulation,[status(thm)],[f1595,f291]) ).
fof(f3368,plain,
( ~ sQ62_spl
| e2 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f1595,f290]) ).
fof(f3369,plain,
( ~ sQ62_spl
| ~ sQ67_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f1611,f3368]) ).
fof(f3370,plain,
( ~ sQ62_spl
| ~ sQ67_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3369]) ).
fof(f3371,plain,
( ~ sQ62_spl
| ~ sQ67_spl ),
inference(contradiction_clause,[status(thm)],[f3370]) ).
fof(f3374,plain,
( ~ sQ62_spl
| e2 != op(e4,e2) ),
inference(forward_demodulation,[status(thm)],[f1595,f241]) ).
fof(f3375,plain,
( ~ sQ62_spl
| ~ sQ112_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f1755,f3374]) ).
fof(f3376,plain,
( ~ sQ62_spl
| ~ sQ112_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3375]) ).
fof(f3377,plain,
( ~ sQ62_spl
| ~ sQ112_spl ),
inference(contradiction_clause,[status(thm)],[f3376]) ).
fof(f3383,plain,
( ~ sQ107_spl
| op(e2,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f1739,f231]) ).
fof(f3384,plain,
( ~ sQ107_spl
| e2 != op(e4,e4) ),
inference(forward_demodulation,[status(thm)],[f1739,f309]) ).
fof(f3386,plain,
( ~ sQ116_spl
| e1 != op(e4,e4) ),
inference(backward_demodulation,[status(thm)],[f1768,f312]) ).
fof(f3387,plain,
( ~ sQ116_spl
| op(e3,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f1768,f252]) ).
fof(f3389,plain,
( ~ sQ116_spl
| op(e0,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f1768,f246]) ).
fof(f3390,plain,
( ~ sQ76_spl
| e1 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f1640,f295]) ).
fof(f3394,plain,
( ~ sQ19_spl
| op(e0,e1) != e4 ),
inference(backward_demodulation,[status(thm)],[f1457,f268]) ).
fof(f3398,plain,
( ~ sQ19_spl
| op(e0,e0) != e4 ),
inference(backward_demodulation,[status(thm)],[f1457,f265]) ).
fof(f3405,plain,
( ~ sQ116_spl
| op(e4,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f1768,f310]) ).
fof(f3408,plain,
( ~ sQ107_spl
| e2 != op(e4,e2) ),
inference(forward_demodulation,[status(thm)],[f1739,f307]) ).
fof(f3416,plain,
( ~ sQ113_spl
| ~ sQ110_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f1749,f1758]) ).
fof(f3417,plain,
( ~ sQ113_spl
| ~ sQ110_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3416,f315]) ).
fof(f3418,plain,
( ~ sQ113_spl
| ~ sQ110_spl ),
inference(contradiction_clause,[status(thm)],[f3417]) ).
fof(f3422,plain,
( ~ sQ103_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f1726,f216]) ).
fof(f3423,plain,
( ~ sQ108_spl
| ~ sQ107_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f1739,f1742]) ).
fof(f3424,plain,
( ~ sQ108_spl
| ~ sQ107_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3423,f320]) ).
fof(f3425,plain,
( ~ sQ108_spl
| ~ sQ107_spl ),
inference(contradiction_clause,[status(thm)],[f3424]) ).
fof(f3435,plain,
( sQ140_spl
| ~ sQ120_spl
| e1 != op(e0,e4) ),
inference(backward_demodulation,[status(thm)],[f1781,f1948]) ).
fof(f3438,plain,
( sQ155_spl
| ~ sQ120_spl
| e3 != op(e0,e4) ),
inference(backward_demodulation,[status(thm)],[f1781,f2005]) ).
fof(f3440,plain,
( sQ141_spl
| ~ sQ120_spl
| e3 != op(op(e4,e4),e0) ),
inference(backward_demodulation,[status(thm)],[f1781,f1951]) ).
fof(f3448,plain,
( ~ sQ12_spl
| e2 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f1435,f233]) ).
fof(f3450,plain,
( sQ158_spl
| ~ sQ92_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f3069,f1616,f1690,f2018]) ).
fof(f3451,plain,
( sQ136_spl
| ~ sQ92_spl
| ~ sQ66_spl ),
inference(split_clause,[status(thm)],[f3072,f1607,f1690,f1932]) ).
fof(f3454,plain,
( ~ sQ92_spl
| ~ sQ87_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f1675,f3078]) ).
fof(f3455,plain,
( ~ sQ92_spl
| ~ sQ87_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3454]) ).
fof(f3456,plain,
( ~ sQ92_spl
| ~ sQ87_spl ),
inference(contradiction_clause,[status(thm)],[f3455]) ).
fof(f3458,plain,
( ~ sQ60_spl
| op(e1,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f1589,f237]) ).
fof(f3460,plain,
( ~ sQ96_spl
| ~ sQ98_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f1710,f1704]) ).
fof(f3461,plain,
( ~ sQ96_spl
| ~ sQ98_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3460,f318]) ).
fof(f3462,plain,
( ~ sQ96_spl
| ~ sQ98_spl ),
inference(contradiction_clause,[status(thm)],[f3461]) ).
fof(f3463,plain,
( ~ sQ122_spl
| ~ sQ120_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f1781,f1787]) ).
fof(f3464,plain,
( ~ sQ122_spl
| ~ sQ120_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3463,f314]) ).
fof(f3465,plain,
( ~ sQ122_spl
| ~ sQ120_spl ),
inference(contradiction_clause,[status(thm)],[f3464]) ).
fof(f3467,plain,
( sQ149_spl
| ~ sQ123_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f3129,f1706,f1789,f1979]) ).
fof(f3469,plain,
( ~ sQ123_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f3132,f1757,f1789]) ).
fof(f3470,plain,
( ~ sQ123_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f3133,f1741,f1789]) ).
fof(f3471,plain,
( ~ sQ123_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f3134,f1725,f1789]) ).
fof(f3472,plain,
( sQ170_spl
| ~ sQ123_spl
| e0 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f1790,f3130]) ).
fof(f3474,plain,
( sQ150_spl
| ~ sQ123_spl
| e1 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f1790,f3127]) ).
fof(f3477,plain,
( sQ141_spl
| ~ sQ123_spl
| e3 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f1790,f3121]) ).
fof(f3480,plain,
( ~ sQ70_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f3105,f1572,f1620]) ).
fof(f3498,plain,
( ~ sQ41_spl
| ~ sQ43_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f1534,f1528]) ).
fof(f3499,plain,
( ~ sQ41_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3498,f318]) ).
fof(f3500,plain,
( ~ sQ41_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f3499]) ).
fof(f3501,plain,
( ~ sQ68_spl
| ~ sQ66_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f1608,f1614]) ).
fof(f3502,plain,
( ~ sQ68_spl
| ~ sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3501,f318]) ).
fof(f3503,plain,
( ~ sQ68_spl
| ~ sQ66_spl ),
inference(contradiction_clause,[status(thm)],[f3502]) ).
fof(f3507,plain,
( ~ sQ9_spl
| op(e0,e0) != e4 ),
inference(backward_demodulation,[status(thm)],[f1425,f263]) ).
fof(f3508,plain,
( ~ sQ52_spl
| e2 != op(e2,e4) ),
inference(forward_demodulation,[status(thm)],[f1563,f286]) ).
fof(f3509,plain,
( ~ sQ52_spl
| op(e0,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f1563,f214]) ).
fof(f3513,plain,
( ~ sQ52_spl
| e2 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f1563,f220]) ).
fof(f3522,plain,
( ~ sQ60_spl
| op(e2,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f1589,f287]) ).
fof(f3524,plain,
( ~ sQ60_spl
| e0 != op(e2,e4) ),
inference(forward_demodulation,[status(thm)],[f1589,f291]) ).
fof(f3527,plain,
( sQ153_spl
| ~ sQ60_spl
| e3 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f1589,f1997]) ).
fof(f3536,plain,
( sQ132_spl
| ~ sQ60_spl
| e1 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f1589,f1920]) ).
fof(f3549,plain,
( sQ133_spl
| ~ sQ60_spl
| e4 != op(e0,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f1589,f1923]) ).
fof(f3550,plain,
( sQ133_spl
| ~ sQ60_spl
| e4 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f1589,f3549]) ).
fof(f3563,plain,
( ~ sQ116_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f3386,f1783,f1767]) ).
fof(f3564,plain,
( ~ sQ116_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f3387,f1687,f1767]) ).
fof(f3565,plain,
( ~ sQ116_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f3389,f1447,f1767]) ).
fof(f3566,plain,
( ~ sQ19_spl
| ~ sQ9_spl
| e4 != e4 ),
inference(forward_demodulation,[status(thm)],[f1425,f3394]) ).
fof(f3567,plain,
( ~ sQ19_spl
| ~ sQ9_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3566]) ).
fof(f3568,plain,
( ~ sQ19_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f3567]) ).
fof(f3574,plain,
( sQ176_spl
| ~ sQ30_spl
| e0 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f1493,f2100]) ).
fof(f3579,plain,
( sQ151_spl
| ~ sQ30_spl
| e3 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f1493,f1989]) ).
fof(f3580,plain,
( sQ182_spl
| ~ sQ30_spl
| e0 != op(op(e1,e1),e0) ),
inference(backward_demodulation,[status(thm)],[f1493,f2133]) ).
fof(f3583,plain,
( ~ sQ30_spl
| e0 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f1493,f277]) ).
fof(f3586,plain,
( ~ sQ30_spl
| e0 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f1493,f228]) ).
fof(f3587,plain,
( ~ sQ30_spl
| e0 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f1493,f227]) ).
fof(f3603,plain,
( ~ sQ104_spl
| e4 != op(e4,e1) ),
inference(backward_demodulation,[status(thm)],[f1729,f303]) ).
fof(f3608,plain,
( ~ sQ8_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f3136,f1437,f1421]) ).
fof(f3609,plain,
( ~ sQ8_spl
| ~ sQ83_spl ),
inference(split_clause,[status(thm)],[f3138,f1661,f1421]) ).
fof(f3610,plain,
( ~ sQ8_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f3139,f1581,f1421]) ).
fof(f3612,plain,
( ~ sQ13_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f3165,f1677,f1437]) ).
fof(f3613,plain,
( ~ sQ13_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f3166,f1517,f1437]) ).
fof(f3615,plain,
( ~ sQ83_spl
| ~ sQ80_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f1653,f1662]) ).
fof(f3616,plain,
( ~ sQ83_spl
| ~ sQ80_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3615,f315]) ).
fof(f3617,plain,
( ~ sQ83_spl
| ~ sQ80_spl ),
inference(contradiction_clause,[status(thm)],[f3616]) ).
fof(f3618,plain,
( ~ sQ53_spl
| ~ sQ52_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f1563,f1566]) ).
fof(f3619,plain,
( ~ sQ53_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3618,f320]) ).
fof(f3620,plain,
( ~ sQ53_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f3619]) ).
fof(f3622,plain,
( sQ140_spl
| ~ sQ120_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f3435,f1463,f1780,f1946]) ).
fof(f3623,plain,
( sQ155_spl
| ~ sQ120_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f3438,f1469,f1780,f2003]) ).
fof(f3626,plain,
( sQ141_spl
| ~ sQ120_spl
| e3 != op(e0,e0) ),
inference(backward_demodulation,[status(thm)],[f1781,f3440]) ).
fof(f3639,plain,
( sQ142_spl
| ~ sQ120_spl
| e2 != op(op(e4,e4),e0) ),
inference(backward_demodulation,[status(thm)],[f1781,f1955]) ).
fof(f3647,plain,
( ~ sQ120_spl
| op(e4,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f1781,f309]) ).
fof(f3648,plain,
( ~ sQ120_spl
| op(e4,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f1781,f311]) ).
fof(f3650,plain,
( ~ sQ121_spl
| ~ sQ120_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f1781,f1784]) ).
fof(f3651,plain,
( ~ sQ121_spl
| ~ sQ120_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3650,f313]) ).
fof(f3652,plain,
( ~ sQ121_spl
| ~ sQ120_spl ),
inference(contradiction_clause,[status(thm)],[f3651]) ).
fof(f3653,plain,
( ~ sQ93_spl
| op(e1,e3) != e3 ),
inference(forward_demodulation,[status(thm)],[f1694,f248]) ).
fof(f3654,plain,
( ~ sQ115_spl
| op(e1,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f1765,f249]) ).
fof(f3656,plain,
( ~ sQ85_spl
| e0 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f1669,f300]) ).
fof(f3661,plain,
( ~ sQ85_spl
| e0 != op(e4,e2) ),
inference(forward_demodulation,[status(thm)],[f1669,f242]) ).
fof(f3664,plain,
( ~ sQ90_spl
| ~ sQ93_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f1694,f1685]) ).
fof(f3665,plain,
( ~ sQ90_spl
| ~ sQ93_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3664,f315]) ).
fof(f3666,plain,
( ~ sQ90_spl
| ~ sQ93_spl ),
inference(contradiction_clause,[status(thm)],[f3665]) ).
fof(f3668,plain,
( ~ sQ93_spl
| op(e3,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f1694,f295]) ).
fof(f3673,plain,
( ~ sQ44_spl
| op(e1,e2) != e4 ),
inference(backward_demodulation,[status(thm)],[f1537,f280]) ).
fof(f3677,plain,
( ~ sQ29_spl
| e4 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f1489,f218]) ).
fof(f3681,plain,
( ~ sQ103_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f3422,f1405,f1725]) ).
fof(f3682,plain,
( ~ sQ103_spl
| op(e3,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f1726,f222]) ).
fof(f3685,plain,
( ~ sQ11_spl
| e1 != op(e4,e2) ),
inference(forward_demodulation,[status(thm)],[f1432,f236]) ).
fof(f3687,plain,
( ~ sQ11_spl
| e1 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f1432,f234]) ).
fof(f3688,plain,
( ~ sQ11_spl
| op(e0,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f1432,f267]) ).
fof(f3706,plain,
( ~ sQ49_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f3243,f1520,f1552]) ).
fof(f3712,plain,
( ~ sQ11_spl
| e1 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f1432,f270]) ).
fof(f3738,plain,
( ~ sQ32_spl
| op(e0,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f1499,f223]) ).
fof(f3739,plain,
( sQ143_spl
| ~ sQ32_spl
| e0 != op(op(e2,e1),op(op(e1,e1),e1)) ),
inference(forward_demodulation,[status(thm)],[f1499,f1959]) ).
fof(f3740,plain,
( sQ143_spl
| ~ sQ32_spl
| e0 != op(op(e2,e1),op(e2,e1)) ),
inference(forward_demodulation,[status(thm)],[f1499,f3739]) ).
fof(f3749,plain,
( sQ146_spl
| ~ sQ32_spl
| e3 != op(e2,op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f1499,f1969]) ).
fof(f3750,plain,
( sQ146_spl
| ~ sQ32_spl
| e3 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f1499,f3749]) ).
fof(f3756,plain,
( sQ151_spl
| ~ sQ32_spl
| e3 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f1499,f1989]) ).
fof(f3761,plain,
( ~ sQ32_spl
| e2 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f1499,f278]) ).
fof(f3763,plain,
( ~ sQ32_spl
| e2 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f1499,f277]) ).
fof(f3764,plain,
( ~ sQ32_spl
| ~ sQ37_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f1515,f3763]) ).
fof(f3765,plain,
( ~ sQ32_spl
| ~ sQ37_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3764]) ).
fof(f3766,plain,
( ~ sQ32_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f3765]) ).
fof(f3771,plain,
( ~ sQ23_spl
| e3 != op(e2,e4) ),
inference(backward_demodulation,[status(thm)],[f1470,f254]) ).
fof(f3774,plain,
( ~ sQ85_spl
| op(e3,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f1669,f297]) ).
fof(f3778,plain,
( ~ sQ106_spl
| op(e2,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f1736,f231]) ).
fof(f3779,plain,
( ~ sQ106_spl
| e1 != op(e4,e2) ),
inference(backward_demodulation,[status(thm)],[f1736,f307]) ).
fof(f3781,plain,
( ~ sQ106_spl
| op(e0,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f1736,f226]) ).
fof(f3782,plain,
( ~ sQ23_spl
| e3 != op(e4,e4) ),
inference(forward_demodulation,[status(thm)],[f1470,f256]) ).
fof(f3784,plain,
( sQ176_spl
| ~ sQ30_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f3574,f1412,f1492,f2098]) ).
fof(f3785,plain,
( sQ151_spl
| ~ sQ30_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f3579,f1421,f1492,f1987]) ).
fof(f3788,plain,
( ~ sQ30_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f3586,f1652,f1492]) ).
fof(f3789,plain,
( sQ182_spl
| ~ sQ30_spl
| e0 != op(e0,e0) ),
inference(backward_demodulation,[status(thm)],[f1493,f3580]) ).
fof(f3800,plain,
( ~ sQ3_spl
| e3 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f1406,f214]) ).
fof(f3804,plain,
( ~ sQ3_spl
| e3 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f1406,f215]) ).
fof(f3810,plain,
( sQ168_spl
| ~ sQ3_spl
| e3 != op(op(e0,e0),e3) ),
inference(backward_demodulation,[status(thm)],[f1406,f2059]) ).
fof(f3813,plain,
( sQ186_spl
| ~ sQ3_spl
| e3 != op(op(op(e0,e0),e0),op(e3,e0)) ),
inference(backward_demodulation,[status(thm)],[f1406,f2160]) ).
fof(f3821,plain,
( ~ sQ78_spl
| e3 != op(e3,e4) ),
inference(backward_demodulation,[status(thm)],[f1646,f296]) ).
fof(f3824,plain,
( ~ sQ22_spl
| ~ sQ23_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f1470,f1467]) ).
fof(f3825,plain,
( ~ sQ22_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3824,f320]) ).
fof(f3826,plain,
( ~ sQ22_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f3825]) ).
fof(f3827,plain,
( ~ sQ47_spl
| ~ sQ46_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f1544,f1547]) ).
fof(f3828,plain,
( ~ sQ47_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3827,f317]) ).
fof(f3829,plain,
( ~ sQ47_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f3828]) ).
fof(f3832,plain,
( ~ sQ14_spl
| ~ sQ11_spl
| e1 = e4 ),
inference(forward_demodulation,[status(thm)],[f1432,f1441]) ).
fof(f3833,plain,
( ~ sQ14_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3832,f319]) ).
fof(f3834,plain,
( ~ sQ14_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f3833]) ).
fof(f3836,plain,
( ~ sQ68_spl
| op(e2,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f1614,f285]) ).
fof(f3840,plain,
( ~ sQ68_spl
| op(e2,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f1614,f288]) ).
fof(f3844,plain,
( ~ sQ6_spl
| e1 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f1416,f268]) ).
fof(f3848,plain,
( ~ sQ84_spl
| op(e2,e1) != e4 ),
inference(backward_demodulation,[status(thm)],[f1665,f230]) ).
fof(f3854,plain,
( ~ sQ44_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f3673,f1520,f1536]) ).
fof(f3856,plain,
( ~ sQ6_spl
| e1 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f1416,f223]) ).
fof(f3869,plain,
( sQ152_spl
| ~ sQ30_spl
| e2 != op(e0,op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f1493,f1993]) ).
fof(f3870,plain,
( sQ152_spl
| ~ sQ30_spl
| e2 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f1493,f3869]) ).
fof(f3891,plain,
( sQ143_spl
| ~ sQ30_spl
| e0 != op(op(e0,e1),op(op(e1,e1),e1)) ),
inference(forward_demodulation,[status(thm)],[f1493,f1959]) ).
fof(f3892,plain,
( sQ143_spl
| ~ sQ30_spl
| ~ sQ6_spl
| e0 != op(e1,op(op(e1,e1),e1)) ),
inference(forward_demodulation,[status(thm)],[f1416,f3891]) ).
fof(f3893,plain,
( sQ143_spl
| ~ sQ30_spl
| ~ sQ6_spl
| e0 != op(e1,op(e0,e1)) ),
inference(forward_demodulation,[status(thm)],[f1493,f3892]) ).
fof(f3894,plain,
( sQ143_spl
| ~ sQ30_spl
| ~ sQ6_spl
| e0 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f1416,f3893]) ).
fof(f3895,plain,
( sQ143_spl
| ~ sQ30_spl
| ~ sQ6_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f1493,f3894]) ).
fof(f3896,plain,
( sQ143_spl
| ~ sQ30_spl
| ~ sQ6_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3895]) ).
fof(f3897,plain,
( sQ143_spl
| ~ sQ30_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f3896]) ).
fof(f3898,plain,
( ~ sQ51_spl
| e1 != op(e2,e4) ),
inference(backward_demodulation,[status(thm)],[f1560,f286]) ).
fof(f3901,plain,
( ~ sQ51_spl
| e1 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f1560,f284]) ).
fof(f3903,plain,
( ~ sQ57_spl
| e2 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f1579,f287]) ).
fof(f3907,plain,
( ~ sQ115_spl
| op(e3,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f1765,f252]) ).
fof(f3910,plain,
( ~ sQ26_spl
| e1 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f1480,f274]) ).
fof(f3911,plain,
( ~ sQ26_spl
| op(e0,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f1480,f213]) ).
fof(f3913,plain,
( ~ sQ115_spl
| op(e4,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f1765,f305]) ).
fof(f3917,plain,
( ~ sQ106_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f3779,f1751,f1735]) ).
fof(f3918,plain,
( sQ182_spl
| ~ sQ30_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f3789,f1396,f1492,f2131]) ).
fof(f3931,plain,
( ~ sQ90_spl
| ~ sQ115_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1685,f3907]) ).
fof(f3932,plain,
( ~ sQ90_spl
| ~ sQ115_spl ),
inference(contradiction_clause,[status(thm)],[f3931]) ).
fof(f3937,plain,
( ~ sQ114_spl
| op(e3,e2) != e4 ),
inference(backward_demodulation,[status(thm)],[f1761,f242]) ).
fof(f3945,plain,
( ~ sQ20_spl
| op(e0,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f1461,f272]) ).
fof(f3949,plain,
( ~ sQ20_spl
| e0 != op(e3,e4) ),
inference(forward_demodulation,[status(thm)],[f1461,f255]) ).
fof(f3950,plain,
( ~ sQ0_spl
| e0 != op(e0,e4) ),
inference(forward_demodulation,[status(thm)],[f1397,f266]) ).
fof(f3951,plain,
( ~ sQ0_spl
| ~ sQ20_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f1461,f3950]) ).
fof(f3952,plain,
( ~ sQ0_spl
| ~ sQ20_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3951]) ).
fof(f3953,plain,
( ~ sQ0_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f3952]) ).
fof(f3955,plain,
( sQ141_spl
| ~ sQ120_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f3626,f1405,f1780,f1949]) ).
fof(f3959,plain,
( ~ sQ120_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f3647,f1732,f1780]) ).
fof(f3964,plain,
( sQ142_spl
| ~ sQ120_spl
| e2 != op(e0,e0) ),
inference(backward_demodulation,[status(thm)],[f1781,f3639]) ).
fof(f3969,plain,
( sQ149_spl
| ~ sQ120_spl
| e2 != op(e0,e4) ),
inference(backward_demodulation,[status(thm)],[f1781,f1981]) ).
fof(f3973,plain,
( ~ sQ120_spl
| op(e4,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f1781,f306]) ).
fof(f3974,plain,
( ~ sQ120_spl
| op(e3,e4) != e0 ),
inference(backward_demodulation,[status(thm)],[f1781,f262]) ).
fof(f3987,plain,
( ~ sQ0_spl
| e0 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f1397,f214]) ).
fof(f4040,plain,
( ~ sQ85_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f3656,f1684,f1668]) ).
fof(f4042,plain,
( ~ sQ101_spl
| op(e3,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f1720,f222]) ).
fof(f4046,plain,
( ~ sQ6_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f3844,f1447,f1415]) ).
fof(f4049,plain,
( ~ sQ84_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f3848,f1584,f1664]) ).
fof(f4053,plain,
( ~ sQ96_spl
| op(e3,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f1704,f302]) ).
fof(f4062,plain,
( ~ sQ18_spl
| e3 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f1454,f245]) ).
fof(f4065,plain,
( ~ sQ12_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f3448,f1514,f1434]) ).
fof(f4090,plain,
( ~ sQ18_spl
| e3 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f1454,f244]) ).
fof(f4091,plain,
( ~ sQ59_spl
| e4 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f1585,f288]) ).
fof(f4092,plain,
( ~ sQ6_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f3856,f1495,f1415]) ).
fof(f4096,plain,
( ~ sQ92_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f3080,f1642,f1690]) ).
fof(f4102,plain,
( sQ162_spl
| ~ sQ92_spl
| e0 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f1691,f2036]) ).
fof(f4106,plain,
( sQ169_spl
| ~ sQ92_spl
| e0 != op(op(e3,e3),e2) ),
inference(backward_demodulation,[status(thm)],[f1691,f2064]) ).
fof(f4111,plain,
( sQ161_spl
| ~ sQ92_spl
| e1 != op(op(e2,e3),op(e2,e3)) ),
inference(forward_demodulation,[status(thm)],[f1691,f3066]) ).
fof(f4112,plain,
( sQ137_spl
| ~ sQ92_spl
| e4 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f1691,f3067]) ).
fof(f4116,plain,
( sQ189_spl
| ~ sQ92_spl
| e4 != op(op(e2,e3),op(e2,e3)) ),
inference(forward_demodulation,[status(thm)],[f1691,f3074]) ).
fof(f4118,plain,
( ~ sQ92_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f3077,f1706,f1690]) ).
fof(f4121,plain,
( ~ sQ158_spl
| ~ sQ92_spl
| e4 = op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f1691,f2019]) ).
fof(f4125,plain,
( ~ sQ48_spl
| op(e1,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f1550,f282]) ).
fof(f4128,plain,
( ~ sQ48_spl
| op(e1,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f1550,f281]) ).
fof(f4131,plain,
( ~ sQ101_spl
| op(e1,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f1720,f219]) ).
fof(f4132,plain,
( ~ sQ101_spl
| op(e2,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f1720,f221]) ).
fof(f4136,plain,
( ~ sQ53_spl
| e3 != op(e2,e4) ),
inference(backward_demodulation,[status(thm)],[f1566,f286]) ).
fof(f4143,plain,
( ~ sQ101_spl
| e1 != op(e4,e1) ),
inference(forward_demodulation,[status(thm)],[f1720,f303]) ).
fof(f4146,plain,
( ~ sQ114_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f3937,f1680,f1760]) ).
fof(f4149,plain,
( ~ sQ3_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f3800,f1565,f1405]) ).
fof(f4150,plain,
( ~ sQ3_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f3804,f1645,f1405]) ).
fof(f4165,plain,
( ~ sQ3_spl
| ~ sQ0_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f1397,f1406]) ).
fof(f4166,plain,
( ~ sQ3_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4165,f315]) ).
fof(f4167,plain,
( ~ sQ3_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f4166]) ).
fof(f4168,plain,
( ~ sQ61_spl
| op(e2,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f1592,f287]) ).
fof(f4178,plain,
( sQ160_spl
| ~ sQ61_spl
| e0 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f1592,f2028]) ).
fof(f4179,plain,
( sQ157_spl
| ~ sQ61_spl
| e4 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f1592,f2015]) ).
fof(f4180,plain,
( sQ184_spl
| ~ sQ61_spl
| e3 != op(op(op(e2,e2),e2),op(e1,e2)) ),
inference(backward_demodulation,[status(thm)],[f1592,f2150]) ).
fof(f4187,plain,
( sQ132_spl
| ~ sQ63_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f3049,f1671,f1597,f1918]) ).
fof(f4192,plain,
( ~ sQ63_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f3059,f1677,f1597]) ).
fof(f4193,plain,
( ~ sQ63_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f3060,f1517,f1597]) ).
fof(f4194,plain,
( ~ sQ63_spl
| ~ sQ61_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f1592,f1598]) ).
fof(f4195,plain,
( ~ sQ63_spl
| ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4194,f318]) ).
fof(f4196,plain,
( ~ sQ63_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f4195]) ).
fof(f4197,plain,
( ~ sQ26_spl
| ~ sQ101_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1480,f4131]) ).
fof(f4198,plain,
( ~ sQ26_spl
| ~ sQ101_spl ),
inference(contradiction_clause,[status(thm)],[f4197]) ).
fof(f4199,plain,
( ~ sQ26_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f3911,f1399,f1479]) ).
fof(f4200,plain,
( ~ sQ51_spl
| ~ sQ71_spl ),
inference(split_clause,[status(thm)],[f3898,f1623,f1559]) ).
fof(f4201,plain,
( ~ sQ51_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f3901,f1591,f1559]) ).
fof(f4202,plain,
( sQ174_spl
| ~ sQ1_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f3000,f1488,f1399,f2086]) ).
fof(f4203,plain,
( sQ166_spl
| ~ sQ1_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f3003,f1482,f1399,f2050]) ).
fof(f4204,plain,
( sQ171_spl
| ~ sQ1_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f3006,f1485,f1399,f2071]) ).
fof(f4205,plain,
( ~ sQ1_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f3008,f1463,f1399]) ).
fof(f4206,plain,
( ~ sQ1_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f3010,f1431,f1399]) ).
fof(f4207,plain,
( ~ sQ1_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f3011,f1415,f1399]) ).
fof(f4208,plain,
( ~ sQ1_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f3014,f1559,f1399]) ).
fof(f4212,plain,
( sQ172_spl
| ~ sQ1_spl
| e2 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f1400,f3004]) ).
fof(f4219,plain,
( ~ sQ71_spl
| e1 != op(e4,e4) ),
inference(backward_demodulation,[status(thm)],[f1624,f261]) ).
fof(f4221,plain,
( ~ sQ71_spl
| op(e2,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f1624,f289]) ).
fof(f4224,plain,
( ~ sQ51_spl
| e1 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f1560,f220]) ).
fof(f4227,plain,
( ~ sQ5_spl
| e0 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f1413,f267]) ).
fof(f4263,plain,
( ~ sQ82_spl
| e2 != op(e3,e4) ),
inference(backward_demodulation,[status(thm)],[f1659,f299]) ).
fof(f4267,plain,
( ~ sQ82_spl
| e2 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f1659,f297]) ).
fof(f4269,plain,
( ~ sQ82_spl
| e2 != op(e4,e1) ),
inference(backward_demodulation,[status(thm)],[f1659,f232]) ).
fof(f4270,plain,
( ~ sQ100_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f3210,f1748,f1716]) ).
fof(f4277,plain,
( ~ sQ51_spl
| e1 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f1560,f283]) ).
fof(f4285,plain,
( ~ sQ42_spl
| op(e1,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f1531,f275]) ).
fof(f4287,plain,
( ~ sQ42_spl
| e2 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f1531,f247]) ).
fof(f4295,plain,
( ~ sQ65_spl
| e0 != op(e4,e3) ),
inference(backward_demodulation,[status(thm)],[f1605,f251]) ).
fof(f4296,plain,
( ~ sQ29_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f3677,f1648,f1488]) ).
fof(f4300,plain,
( ~ sQ29_spl
| e4 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f1489,f274]) ).
fof(f4305,plain,
( ~ sQ45_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f3098,f1780,f1540]) ).
fof(f4306,plain,
( ~ sQ45_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f3099,f1700,f1540]) ).
fof(f4323,plain,
( ~ sQ10_spl
| e0 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f1429,f235]) ).
fof(f4324,plain,
( ~ sQ10_spl
| e0 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f1429,f233]) ).
fof(f4325,plain,
( ~ sQ10_spl
| e0 != op(e0,e4) ),
inference(backward_demodulation,[status(thm)],[f1429,f271]) ).
fof(f4326,plain,
( ~ sQ10_spl
| e0 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f1429,f270]) ).
fof(f4336,plain,
( ~ sQ10_spl
| op(e0,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f1429,f264]) ).
fof(f4338,plain,
( ~ sQ92_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f3083,f1530,f1690]) ).
fof(f4342,plain,
( sQ162_spl
| ~ sQ92_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f4102,f1604,f1690,f2034]) ).
fof(f4346,plain,
( sQ169_spl
| ~ sQ92_spl
| e0 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f1691,f4106]) ).
fof(f4367,plain,
( ~ sQ92_spl
| e2 != op(e4,e3) ),
inference(backward_demodulation,[status(thm)],[f1691,f252]) ).
fof(f4370,plain,
( sQ161_spl
| ~ sQ92_spl
| ~ sQ65_spl
| e1 != op(e0,op(e2,e3)) ),
inference(forward_demodulation,[status(thm)],[f1605,f4111]) ).
fof(f4371,plain,
( sQ161_spl
| ~ sQ92_spl
| ~ sQ65_spl
| e1 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f1605,f4370]) ).
fof(f4372,plain,
( sQ137_spl
| ~ sQ92_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f4112,f1600,f1690,f1935]) ).
fof(f4375,plain,
( sQ189_spl
| ~ sQ92_spl
| ~ sQ65_spl
| e4 != op(e0,op(e2,e3)) ),
inference(forward_demodulation,[status(thm)],[f1605,f4116]) ).
fof(f4376,plain,
( sQ189_spl
| ~ sQ92_spl
| ~ sQ65_spl
| e4 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f1605,f4375]) ).
fof(f4378,plain,
( ~ sQ158_spl
| ~ sQ92_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f4121,f1616,f1690,f2018]) ).
fof(f4379,plain,
( ~ sQ92_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f3079,f1658,f1690]) ).
fof(f4381,plain,
( sQ142_spl
| ~ sQ120_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f3964,f1402,f1780,f1953]) ).
fof(f4383,plain,
( ~ sQ120_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f3973,f1716,f1780]) ).
fof(f4384,plain,
( ~ sQ120_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f3974,f1700,f1780]) ).
fof(f4406,plain,
( ~ sQ120_spl
| op(e0,e4) != e0 ),
inference(backward_demodulation,[status(thm)],[f1781,f256]) ).
fof(f4407,plain,
( ~ sQ120_spl
| op(e4,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f1781,f312]) ).
fof(f4411,plain,
( ~ sQ120_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f3648,f1748,f1780]) ).
fof(f4413,plain,
( sQ170_spl
| ~ sQ123_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f3472,f1684,f1789,f2067]) ).
fof(f4417,plain,
( ~ sQ123_spl
| ~ sQ120_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f1781,f1790]) ).
fof(f4418,plain,
( ~ sQ123_spl
| ~ sQ120_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4417,f315]) ).
fof(f4419,plain,
( ~ sQ123_spl
| ~ sQ120_spl ),
inference(contradiction_clause,[status(thm)],[f4418]) ).
fof(f4430,plain,
( sQ176_spl
| ~ sQ34_spl
| e0 != op(e4,e1) ),
inference(backward_demodulation,[status(thm)],[f1505,f2100]) ).
fof(f4440,plain,
( sQ156_spl
| ~ sQ33_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f3023,f1664,f1501,f2008]) ).
fof(f4442,plain,
( sQ144_spl
| ~ sQ33_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f3026,f1658,f1501,f1960]) ).
fof(f4446,plain,
( ~ sQ33_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f3031,f1549,f1501]) ).
fof(f4449,plain,
( ~ sQ33_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f3038,f1421,f1501]) ).
fof(f4450,plain,
( ~ sQ33_spl
| ~ sQ34_spl
| e4 = e3 ),
inference(forward_demodulation,[status(thm)],[f1505,f1502]) ).
fof(f4451,plain,
( ~ sQ33_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4450,f322]) ).
fof(f4452,plain,
( ~ sQ33_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f4451]) ).
fof(f4457,plain,
( ~ sQ18_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f4062,f1693,f1453]) ).
fof(f4464,plain,
( ~ sQ104_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f3603,f1744,f1728]) ).
fof(f4465,plain,
( ~ sQ36_spl
| e1 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f1512,f237]) ).
fof(f4472,plain,
( ~ sQ42_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f4285,f1482,f1530]) ).
fof(f4474,plain,
( ~ sQ10_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f4323,f1668,f1428]) ).
fof(f4475,plain,
( ~ sQ10_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f4324,f1508,f1428]) ).
fof(f4476,plain,
( ~ sQ10_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f4325,f1460,f1428]) ).
fof(f4477,plain,
( ~ sQ10_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f4326,f1444,f1428]) ).
fof(f4478,plain,
( ~ sQ94_spl
| op(e3,e2) != e4 ),
inference(forward_demodulation,[status(thm)],[f1697,f300]) ).
fof(f4479,plain,
( ~ sQ94_spl
| e4 != op(e3,e4) ),
inference(forward_demodulation,[status(thm)],[f1697,f302]) ).
fof(f4483,plain,
( sQ169_spl
| ~ sQ94_spl
| e0 != op(e4,op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f1697,f2064]) ).
fof(f4484,plain,
( sQ169_spl
| ~ sQ94_spl
| e0 != op(e4,e4) ),
inference(forward_demodulation,[status(thm)],[f1697,f4483]) ).
fof(f4491,plain,
( sQ162_spl
| ~ sQ94_spl
| e0 != op(e4,e3) ),
inference(forward_demodulation,[status(thm)],[f1697,f2036]) ).
fof(f4494,plain,
( sQ137_spl
| ~ sQ94_spl
| e4 != op(e4,op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f1697,f1937]) ).
fof(f4495,plain,
( sQ137_spl
| ~ sQ94_spl
| e4 != op(e4,e4) ),
inference(forward_demodulation,[status(thm)],[f1697,f4494]) ).
fof(f4496,plain,
( sQ161_spl
| ~ sQ94_spl
| e1 != op(op(e4,e3),op(op(e3,e3),e3)) ),
inference(forward_demodulation,[status(thm)],[f1697,f2033]) ).
fof(f4497,plain,
( sQ161_spl
| ~ sQ94_spl
| e1 != op(op(e4,e3),op(e4,e3)) ),
inference(forward_demodulation,[status(thm)],[f1697,f4496]) ).
fof(f4500,plain,
( ~ sQ94_spl
| e4 != op(e4,e3) ),
inference(forward_demodulation,[status(thm)],[f1697,f252]) ).
fof(f4504,plain,
( sQ136_spl
| ~ sQ94_spl
| e1 != op(e4,e3) ),
inference(forward_demodulation,[status(thm)],[f1697,f1934]) ).
fof(f4506,plain,
( ~ sQ104_spl
| op(e2,e0) != e4 ),
inference(forward_demodulation,[status(thm)],[f1729,f221]) ).
fof(f4507,plain,
( ~ sQ101_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f4042,f1639,f1719]) ).
fof(f4508,plain,
( ~ sQ101_spl
| ~ sQ104_spl
| e4 = e1 ),
inference(forward_demodulation,[status(thm)],[f1729,f1720]) ).
fof(f4509,plain,
( ~ sQ101_spl
| ~ sQ104_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4508,f319]) ).
fof(f4510,plain,
( ~ sQ101_spl
| ~ sQ104_spl ),
inference(contradiction_clause,[status(thm)],[f4509]) ).
fof(f4527,plain,
( ~ sQ109_spl
| e4 != op(e4,e2) ),
inference(backward_demodulation,[status(thm)],[f1745,f307]) ).
fof(f4533,plain,
( ~ sQ69_spl
| e4 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f1617,f250]) ).
fof(f4534,plain,
( ~ sQ69_spl
| ~ sQ94_spl
| e4 != e4 ),
inference(forward_demodulation,[status(thm)],[f1697,f4533]) ).
fof(f4535,plain,
( ~ sQ69_spl
| ~ sQ94_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4534]) ).
fof(f4536,plain,
( ~ sQ69_spl
| ~ sQ94_spl ),
inference(contradiction_clause,[status(thm)],[f4535]) ).
fof(f4537,plain,
( ~ sQ73_spl
| op(e1,e4) != e3 ),
inference(backward_demodulation,[status(thm)],[f1630,f257]) ).
fof(f4541,plain,
( ~ sQ73_spl
| e3 != op(e4,e4) ),
inference(backward_demodulation,[status(thm)],[f1630,f261]) ).
fof(f4546,plain,
( ~ sQ125_spl
| op(e0,e0) = e0 ),
inference(backward_demodulation,[status(thm)],[f1797,f152]) ).
fof(f4548,plain,
( ~ sQ125_spl
| op(e0,e1) = e1 ),
inference(backward_demodulation,[status(thm)],[f1797,f154]) ).
fof(f4549,plain,
( ~ sQ125_spl
| op(e1,e0) = e1 ),
inference(backward_demodulation,[status(thm)],[f1797,f155]) ).
fof(f4550,plain,
( ~ sQ125_spl
| op(e0,e2) = e2 ),
inference(backward_demodulation,[status(thm)],[f1797,f156]) ).
fof(f4551,plain,
( ~ sQ125_spl
| op(e2,e0) = e2 ),
inference(backward_demodulation,[status(thm)],[f1797,f157]) ).
fof(f4552,plain,
( ~ sQ125_spl
| op(e0,e3) = e3 ),
inference(backward_demodulation,[status(thm)],[f1797,f158]) ).
fof(f4553,plain,
( ~ sQ125_spl
| op(e3,e0) = e3 ),
inference(backward_demodulation,[status(thm)],[f1797,f159]) ).
fof(f4554,plain,
( ~ sQ125_spl
| op(e0,e4) = e4 ),
inference(backward_demodulation,[status(thm)],[f1797,f160]) ).
fof(f4555,plain,
( ~ sQ125_spl
| op(e4,e0) = e4 ),
inference(backward_demodulation,[status(thm)],[f1797,f161]) ).
fof(f4556,plain,
( ~ sQ11_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f3685,f1751,f1431]) ).
fof(f4557,plain,
( ~ sQ11_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f3687,f1591,f1431]) ).
fof(f4558,plain,
( ~ sQ11_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f3712,f1447,f1431]) ).
fof(f4559,plain,
( ~ sQ47_spl
| op(e0,e4) != e2 ),
inference(backward_demodulation,[status(thm)],[f1547,f253]) ).
fof(f4561,plain,
( ~ sQ47_spl
| e2 != op(e3,e4) ),
inference(backward_demodulation,[status(thm)],[f1547,f258]) ).
fof(f4563,plain,
( ~ sQ47_spl
| op(e1,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f1547,f281]) ).
fof(f4567,plain,
( ~ sQ74_spl
| ~ sQ73_spl
| e3 = e4 ),
inference(forward_demodulation,[status(thm)],[f1630,f1633]) ).
fof(f4568,plain,
( ~ sQ74_spl
| ~ sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4567,f322]) ).
fof(f4569,plain,
( ~ sQ74_spl
| ~ sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f4568]) ).
fof(f4572,plain,
( ~ sQ8_spl
| e3 != op(e0,e4) ),
inference(backward_demodulation,[status(thm)],[f1422,f269]) ).
fof(f4583,plain,
( ~ sQ26_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f3910,f1511,f1479]) ).
fof(f4584,plain,
( ~ sQ16_spl
| e1 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f1448,f243]) ).
fof(f4588,plain,
( ~ sQ16_spl
| op(e0,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f1448,f265]) ).
fof(f4593,plain,
( ~ sQ30_spl
| e0 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f1493,f278]) ).
fof(f4597,plain,
( sQ183_spl
| ~ sQ30_spl
| e3 != op(op(op(e1,e1),e1),op(e0,e1)) ),
inference(backward_demodulation,[status(thm)],[f1493,f2145]) ).
fof(f4601,plain,
( sQ144_spl
| ~ sQ30_spl
| e2 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f1493,f1962]) ).
fof(f4611,plain,
( sQ152_spl
| ~ sQ30_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f3870,f1402,f1492,f1991]) ).
fof(f4612,plain,
( ~ sQ30_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f3587,f1572,f1492]) ).
fof(f4647,plain,
( ~ sQ96_spl
| e1 != op(e4,e4) ),
inference(backward_demodulation,[status(thm)],[f1704,f262]) ).
fof(f4650,plain,
( ~ sQ96_spl
| op(e0,e4) != e1 ),
inference(backward_demodulation,[status(thm)],[f1704,f255]) ).
fof(f4652,plain,
( ~ sQ84_spl
| e4 != op(e4,e1) ),
inference(backward_demodulation,[status(thm)],[f1665,f232]) ).
fof(f4654,plain,
( ~ sQ84_spl
| op(e3,e0) != e4 ),
inference(backward_demodulation,[status(thm)],[f1665,f293]) ).
fof(f4661,plain,
( ~ sQ16_spl
| e1 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f1448,f244]) ).
fof(f4664,plain,
( ~ sQ92_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f4367,f1770,f1690]) ).
fof(f4671,plain,
( ~ sQ92_spl
| op(e2,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f1691,f250]) ).
fof(f4677,plain,
( sQ148_spl
| ~ sQ92_spl
| e1 != op(op(e3,e3),e2) ),
inference(backward_demodulation,[status(thm)],[f1691,f1977]) ).
fof(f4692,plain,
( sQ161_spl
| ~ sQ92_spl
| ~ sQ158_spl
| e1 != op(op(e2,e3),e4) ),
inference(backward_demodulation,[status(thm)],[f4704,f4111]) ).
fof(f4704,plain,
( ~ sQ158_spl
| ~ sQ92_spl
| e4 = op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f1691,f2019]) ).
fof(f4707,plain,
( sQ146_spl
| ~ sQ32_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f3750,f1597,f1498,f1967]) ).
fof(f4708,plain,
( ~ sQ162_spl
| ~ sQ92_spl
| e0 = op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f1691,f2035]) ).
fof(f4709,plain,
( ~ sQ162_spl
| ~ sQ92_spl
| ~ sQ158_spl
| e0 = e4 ),
inference(forward_demodulation,[status(thm)],[f4704,f4708]) ).
fof(f4710,plain,
( ~ sQ162_spl
| ~ sQ92_spl
| ~ sQ158_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4709,f316]) ).
fof(f4711,plain,
( ~ sQ162_spl
| ~ sQ92_spl
| ~ sQ158_spl ),
inference(contradiction_clause,[status(thm)],[f4710]) ).
fof(f4716,plain,
( ~ sQ43_spl
| e3 != op(e4,e3) ),
inference(backward_demodulation,[status(thm)],[f1534,f249]) ).
fof(f4720,plain,
( ~ sQ24_spl
| e4 != op(e2,e4) ),
inference(backward_demodulation,[status(thm)],[f1473,f254]) ).
fof(f4726,plain,
( ~ sQ24_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f3229,f1440,f1472]) ).
fof(f4730,plain,
( ~ sQ16_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f4588,f1399,f1447]) ).
fof(f4743,plain,
( ~ sQ1_spl
| e1 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f1400,f215]) ).
fof(f4755,plain,
( ~ sQ63_spl
| op(e2,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f1598,f287]) ).
fof(f4757,plain,
( sQ173_spl
| ~ sQ63_spl
| e0 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f1598,f3053]) ).
fof(f4760,plain,
( sQ133_spl
| ~ sQ63_spl
| e4 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f1598,f3044]) ).
fof(f4763,plain,
( ~ sQ132_spl
| ~ sQ63_spl
| e1 != op(e3,e4) ),
inference(backward_demodulation,[status(thm)],[f4769,f301]) ).
fof(f4769,plain,
( ~ sQ132_spl
| ~ sQ63_spl
| e1 = op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f1598,f1919]) ).
fof(f4773,plain,
( ~ sQ126_spl
| op(e4,e1) = e4 ),
inference(backward_demodulation,[status(thm)],[f1800,f161]) ).
fof(f4774,plain,
( ~ sQ126_spl
| op(e1,e4) = e4 ),
inference(backward_demodulation,[status(thm)],[f1800,f160]) ).
fof(f4775,plain,
( ~ sQ126_spl
| op(e3,e1) = e3 ),
inference(backward_demodulation,[status(thm)],[f1800,f159]) ).
fof(f4776,plain,
( ~ sQ126_spl
| op(e1,e3) = e3 ),
inference(backward_demodulation,[status(thm)],[f1800,f158]) ).
fof(f4777,plain,
( ~ sQ126_spl
| op(e2,e1) = e2 ),
inference(backward_demodulation,[status(thm)],[f1800,f157]) ).
fof(f4778,plain,
( ~ sQ126_spl
| op(e1,e2) = e2 ),
inference(backward_demodulation,[status(thm)],[f1800,f156]) ).
fof(f4779,plain,
( ~ sQ126_spl
| op(e1,e1) = e1 ),
inference(backward_demodulation,[status(thm)],[f1800,f155]) ).
fof(f4781,plain,
( ~ sQ126_spl
| op(e0,e1) = e0 ),
inference(backward_demodulation,[status(thm)],[f1800,f153]) ).
fof(f4782,plain,
( ~ sQ126_spl
| op(e1,e0) = e0 ),
inference(backward_demodulation,[status(thm)],[f1800,f152]) ).
fof(f4785,plain,
( ~ sQ43_spl
| op(e1,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f1534,f275]) ).
fof(f4786,plain,
( ~ sQ22_spl
| ~ sQ24_spl
| e4 = e2 ),
inference(forward_demodulation,[status(thm)],[f1473,f1467]) ).
fof(f4787,plain,
( ~ sQ22_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4786,f321]) ).
fof(f4788,plain,
( ~ sQ22_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f4787]) ).
fof(f4790,plain,
( ~ sQ52_spl
| op(e1,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f1563,f217]) ).
fof(f4795,plain,
( ~ sQ52_spl
| ~ sQ72_spl ),
inference(split_clause,[status(thm)],[f3508,f1626,f1562]) ).
fof(f4796,plain,
( ~ sQ52_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f3513,f1642,f1562]) ).
fof(f4798,plain,
( ~ sQ56_spl
| ~ sQ66_spl ),
inference(split_clause,[status(thm)],[f3193,f1607,f1575]) ).
fof(f4799,plain,
( ~ sQ56_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f3195,f1655,f1575]) ).
fof(f4808,plain,
( ~ sQ86_spl
| e1 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f1672,f300]) ).
fof(f4813,plain,
( ~ sQ120_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f4406,f1460,f1780]) ).
fof(f4814,plain,
( ~ sQ120_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f4407,f1764,f1780]) ).
fof(f4841,plain,
( sQ177_spl
| ~ sQ94_spl
| e2 != op(op(op(e3,e3),e3),op(e4,e3)) ),
inference(backward_demodulation,[status(thm)],[f1697,f2105]) ).
fof(f4850,plain,
( sQ169_spl
| ~ sQ94_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f4484,f1780,f1696,f2062]) ).
fof(f4851,plain,
( sQ162_spl
| ~ sQ94_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f4491,f1764,f1696,f2034]) ).
fof(f4852,plain,
( ~ sQ94_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f4500,f1776,f1696]) ).
fof(f4864,plain,
( ~ sQ60_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f3522,f1572,f1588]) ).
fof(f4865,plain,
( sQ133_spl
| ~ sQ60_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f3550,f1408,f1588,f1921]) ).
fof(f4872,plain,
( ~ sQ28_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1486,f4785]) ).
fof(f4873,plain,
( ~ sQ28_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f4872]) ).
fof(f4877,plain,
( ~ sQ75_spl
| e0 != op(e4,e0) ),
inference(backward_demodulation,[status(thm)],[f1637,f222]) ).
fof(f4878,plain,
( ~ sQ86_spl
| op(e3,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f1672,f297]) ).
fof(f4881,plain,
( ~ sQ54_spl
| ~ sQ52_spl
| e2 = e4 ),
inference(forward_demodulation,[status(thm)],[f1563,f1569]) ).
fof(f4882,plain,
( ~ sQ54_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4881,f321]) ).
fof(f4883,plain,
( ~ sQ54_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f4882]) ).
fof(f4886,plain,
( ~ sQ112_spl
| op(e1,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f1755,f239]) ).
fof(f4889,plain,
( ~ sQ112_spl
| op(e4,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f1755,f304]) ).
fof(f4897,plain,
( ~ sQ32_spl
| op(e1,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f1499,f273]) ).
fof(f4898,plain,
( ~ sQ32_spl
| e2 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f1499,f228]) ).
fof(f4899,plain,
( ~ sQ32_spl
| e2 != op(e4,e1) ),
inference(backward_demodulation,[status(thm)],[f1499,f229]) ).
fof(f4901,plain,
( sQ187_spl
| ~ sQ32_spl
| e4 != op(op(op(e1,e1),e1),op(e2,e1)) ),
inference(backward_demodulation,[status(thm)],[f1499,f2181]) ).
fof(f4903,plain,
( sQ183_spl
| ~ sQ32_spl
| e3 != op(op(op(e1,e1),e1),op(e2,e1)) ),
inference(backward_demodulation,[status(thm)],[f1499,f2145]) ).
fof(f4906,plain,
( ~ sQ32_spl
| e2 != op(e1,e4) ),
inference(backward_demodulation,[status(thm)],[f1499,f279]) ).
fof(f4909,plain,
( ~ sQ40_spl
| op(e0,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f1525,f243]) ).
fof(f4910,plain,
( ~ sQ32_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f3738,f1418,f1498]) ).
fof(f4913,plain,
( ~ sQ101_spl
| op(e0,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f1720,f216]) ).
fof(f4917,plain,
( ~ sQ101_spl
| e1 != op(e4,e3) ),
inference(backward_demodulation,[status(thm)],[f1720,f305]) ).
fof(f4919,plain,
( ~ sQ118_spl
| op(e0,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f1774,f246]) ).
fof(f4924,plain,
( ~ sQ124_spl
| ~ sQ120_spl
| e0 = e4 ),
inference(forward_demodulation,[status(thm)],[f1781,f1793]) ).
fof(f4925,plain,
( ~ sQ124_spl
| ~ sQ120_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4924,f316]) ).
fof(f4926,plain,
( ~ sQ124_spl
| ~ sQ120_spl ),
inference(contradiction_clause,[status(thm)],[f4925]) ).
fof(f4930,plain,
( ~ sQ75_spl
| e0 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f1637,f295]) ).
fof(f4933,plain,
( sQ184_spl
| ~ sQ61_spl
| e3 != op(op(e1,e2),op(e1,e2)) ),
inference(backward_demodulation,[status(thm)],[f1592,f4180]) ).
fof(f4953,plain,
( ~ sQ61_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f1592,f240]) ).
fof(f4956,plain,
( ~ sQ2_spl
| e2 != op(e0,e4) ),
inference(backward_demodulation,[status(thm)],[f1403,f266]) ).
fof(f4957,plain,
( ~ sQ2_spl
| e2 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f1403,f263]) ).
fof(f4962,plain,
( sQ172_spl
| ~ sQ2_spl
| e2 != op(op(e0,e0),e2) ),
inference(backward_demodulation,[status(thm)],[f1403,f2077]) ).
fof(f4972,plain,
( ~ sQ75_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f4877,f1716,f1636]) ).
fof(f4974,plain,
( ~ sQ129_spl
| op(e4,e0) = e0 ),
inference(backward_demodulation,[status(thm)],[f1809,f152]) ).
fof(f4975,plain,
( ~ sQ129_spl
| op(e0,e4) = e0 ),
inference(backward_demodulation,[status(thm)],[f1809,f153]) ).
fof(f4976,plain,
( ~ sQ129_spl
| op(e4,e1) = e1 ),
inference(backward_demodulation,[status(thm)],[f1809,f154]) ).
fof(f4977,plain,
( ~ sQ129_spl
| op(e1,e4) = e1 ),
inference(backward_demodulation,[status(thm)],[f1809,f155]) ).
fof(f4978,plain,
( ~ sQ129_spl
| op(e4,e2) = e2 ),
inference(backward_demodulation,[status(thm)],[f1809,f156]) ).
fof(f4979,plain,
( ~ sQ129_spl
| op(e2,e4) = e2 ),
inference(backward_demodulation,[status(thm)],[f1809,f157]) ).
fof(f4980,plain,
( ~ sQ129_spl
| op(e4,e3) = e3 ),
inference(backward_demodulation,[status(thm)],[f1809,f158]) ).
fof(f4981,plain,
( ~ sQ129_spl
| op(e3,e4) = e3 ),
inference(backward_demodulation,[status(thm)],[f1809,f159]) ).
fof(f4982,plain,
( ~ sQ129_spl
| op(e4,e4) = e4 ),
inference(backward_demodulation,[status(thm)],[f1809,f160]) ).
fof(f5004,plain,
( ~ sQ10_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f4336,f1396,f1428]) ).
fof(f5006,plain,
( ~ sQ50_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f3189,f1604,f1556]) ).
fof(f5007,plain,
( ~ sQ50_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f3191,f1716,f1556]) ).
fof(f5008,plain,
( ~ sQ50_spl
| ~ sQ75_spl ),
inference(split_clause,[status(thm)],[f3192,f1636,f1556]) ).
fof(f5022,plain,
( ~ sQ29_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f4300,f1520,f1488]) ).
fof(f5023,plain,
( ~ sQ29_spl
| e4 != op(e4,e0) ),
inference(backward_demodulation,[status(thm)],[f1489,f219]) ).
fof(f5026,plain,
( ~ sQ29_spl
| e4 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f1489,f217]) ).
fof(f5027,plain,
( ~ sQ29_spl
| e4 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f1489,f275]) ).
fof(f5036,plain,
( sQ177_spl
| ~ sQ94_spl
| ~ sQ162_spl
| e2 != op(e0,op(e4,e3)) ),
inference(forward_demodulation,[status(thm)],[f2035,f4841]) ).
fof(f5041,plain,
( ~ sQ162_spl
| ~ sQ94_spl
| e0 = op(e4,e3) ),
inference(backward_demodulation,[status(thm)],[f1697,f2035]) ).
fof(f5045,plain,
( ~ sQ94_spl
| op(e1,e3) != e4 ),
inference(backward_demodulation,[status(thm)],[f1697,f248]) ).
fof(f5052,plain,
( ~ sQ91_spl
| ~ sQ94_spl
| e4 = e1 ),
inference(forward_demodulation,[status(thm)],[f1697,f1688]) ).
fof(f5053,plain,
( ~ sQ91_spl
| ~ sQ94_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5052,f319]) ).
fof(f5054,plain,
( ~ sQ91_spl
| ~ sQ94_spl ),
inference(contradiction_clause,[status(thm)],[f5053]) ).
fof(f5056,plain,
( ~ sQ125_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f4548,f1415,f1796]) ).
fof(f5058,plain,
( ~ sQ125_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f4551,f1562,f1796]) ).
fof(f5064,plain,
( ~ sQ125_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f4554,f1472,f1796]) ).
fof(f5073,plain,
( ~ sQ125_spl
| op(e0,e3) = e3 ),
inference(backward_demodulation,[status(thm)],[f1797,f158]) ).
fof(f5082,plain,
( ~ sQ125_spl
| e3 != op(e4,e3) ),
inference(forward_demodulation,[status(thm)],[f4552,f246]) ).
fof(f5083,plain,
( ~ sQ92_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f4671,f1610,f1690]) ).
fof(f5088,plain,
( sQ148_spl
| ~ sQ92_spl
| e1 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f1691,f4677]) ).
fof(f5101,plain,
( ~ sQ162_spl
| ~ sQ92_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f4708,f1604,f1690,f2034]) ).
fof(f5103,plain,
( ~ sQ30_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f4593,f1524,f1492]) ).
fof(f5105,plain,
( sQ183_spl
| ~ sQ30_spl
| e3 != op(op(e0,e1),op(e0,e1)) ),
inference(backward_demodulation,[status(thm)],[f1493,f4597]) ).
fof(f5114,plain,
( sQ187_spl
| ~ sQ30_spl
| e4 != op(op(op(e1,e1),e1),op(e0,e1)) ),
inference(backward_demodulation,[status(thm)],[f1493,f2181]) ).
fof(f5173,plain,
( ~ sQ182_spl
| ~ sQ30_spl
| e0 = op(e0,op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f1493,f2132]) ).
fof(f5174,plain,
( ~ sQ182_spl
| ~ sQ30_spl
| e0 = op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f1493,f5173]) ).
fof(f5179,plain,
( ~ sQ125_spl
| e2 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f4550,f235]) ).
fof(f5182,plain,
( ~ sQ11_spl
| ~ sQ125_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f4550,f1432]) ).
fof(f5183,plain,
( ~ sQ11_spl
| ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5182,f317]) ).
fof(f5184,plain,
( ~ sQ11_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f5183]) ).
fof(f5191,plain,
( ~ sQ7_spl
| e2 != op(e0,e4) ),
inference(backward_demodulation,[status(thm)],[f1419,f269]) ).
fof(f5195,plain,
( ~ sQ118_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f4919,f1453,f1773]) ).
fof(f5226,plain,
( sQ163_spl
| ~ sQ120_spl
| e1 != op(op(op(e4,e4),e4),op(e0,e4)) ),
inference(backward_demodulation,[status(thm)],[f1781,f2041]) ).
fof(f5227,plain,
( sQ178_spl
| ~ sQ120_spl
| e2 != op(op(op(e4,e4),e4),op(e0,e4)) ),
inference(backward_demodulation,[status(thm)],[f1781,f2110]) ).
fof(f5237,plain,
( sQ149_spl
| ~ sQ120_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f3969,f1466,f1780,f1979]) ).
fof(f5250,plain,
( ~ sQ63_spl
| e3 != op(e4,e2) ),
inference(backward_demodulation,[status(thm)],[f1598,f241]) ).
fof(f5253,plain,
( ~ sQ63_spl
| e3 != op(e2,e4) ),
inference(backward_demodulation,[status(thm)],[f1598,f291]) ).
fof(f5265,plain,
( sQ173_spl
| ~ sQ63_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f4757,f1684,f1597,f2080]) ).
fof(f5266,plain,
( sQ133_spl
| ~ sQ63_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f4760,f1696,f1597,f1921]) ).
fof(f5267,plain,
( sQ134_spl
| ~ sQ63_spl
| e3 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f1598,f3048]) ).
fof(f5270,plain,
( ~ sQ64_spl
| ~ sQ63_spl
| e3 = e4 ),
inference(forward_demodulation,[status(thm)],[f1598,f1601]) ).
fof(f5271,plain,
( ~ sQ64_spl
| ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5270,f322]) ).
fof(f5272,plain,
( ~ sQ64_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f5271]) ).
fof(f5287,plain,
( ~ sQ99_spl
| op(e2,e4) != e4 ),
inference(backward_demodulation,[status(thm)],[f1713,f260]) ).
fof(f5296,plain,
( ~ sQ78_spl
| op(e1,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f1646,f218]) ).
fof(f5307,plain,
( ~ sQ67_spl
| e2 != op(e2,e4) ),
inference(backward_demodulation,[status(thm)],[f1611,f292]) ).
fof(f5308,plain,
( ~ sQ129_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f4974,f1716,f1808]) ).
fof(f5309,plain,
( ~ sQ129_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f4975,f1460,f1808]) ).
fof(f5314,plain,
( ~ sQ129_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f4977,f1543,f1808]) ).
fof(f5319,plain,
( sQ136_spl
| ~ sQ90_spl
| e1 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f1685,f1934]) ).
fof(f5320,plain,
( sQ148_spl
| ~ sQ90_spl
| e1 != op(op(e3,e3),e0) ),
inference(backward_demodulation,[status(thm)],[f1685,f1977]) ).
fof(f5322,plain,
( ~ sQ90_spl
| op(e1,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f1685,f248]) ).
fof(f5324,plain,
( ~ sQ90_spl
| op(e3,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f1685,f298]) ).
fof(f5325,plain,
( sQ147_spl
| ~ sQ90_spl
| e2 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f1685,f1973]) ).
fof(f5337,plain,
( sQ161_spl
| ~ sQ90_spl
| e1 != op(op(e0,e3),op(op(e3,e3),e3)) ),
inference(forward_demodulation,[status(thm)],[f1685,f2033]) ).
fof(f5357,plain,
( ~ sQ102_spl
| e2 != op(e4,e3) ),
inference(forward_demodulation,[status(thm)],[f1723,f305]) ).
fof(f5361,plain,
( ~ sQ102_spl
| op(e2,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f1723,f221]) ).
fof(f5366,plain,
( ~ sQ101_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f4913,f1399,f1719]) ).
fof(f5367,plain,
( ~ sQ101_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f4917,f1767,f1719]) ).
fof(f5368,plain,
( ~ sQ101_spl
| ~ sQ102_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f1723,f1720]) ).
fof(f5369,plain,
( ~ sQ101_spl
| ~ sQ102_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5368,f317]) ).
fof(f5370,plain,
( ~ sQ101_spl
| ~ sQ102_spl ),
inference(contradiction_clause,[status(thm)],[f5369]) ).
fof(f5371,plain,
( ~ sQ86_spl
| op(e0,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f1672,f235]) ).
fof(f5375,plain,
( ~ sQ86_spl
| op(e1,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f1672,f238]) ).
fof(f5377,plain,
( ~ sQ86_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f4878,f1655,f1671]) ).
fof(f5380,plain,
( sQ172_spl
| ~ sQ1_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f4212,f1498,f1399,f2075]) ).
fof(f5381,plain,
( ~ sQ1_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f4743,f1639,f1399]) ).
fof(f5399,plain,
( sQ167_spl
| ~ sQ1_spl
| e4 != op(op(e0,e0),e1) ),
inference(backward_demodulation,[status(thm)],[f1400,f2055]) ).
fof(f5410,plain,
( ~ sQ5_spl
| e0 != op(e0,e4) ),
inference(backward_demodulation,[status(thm)],[f1413,f269]) ).
fof(f5418,plain,
( ~ sQ5_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f4227,f1428,f1412]) ).
fof(f5419,plain,
( ~ sQ71_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f4219,f1783,f1623]) ).
fof(f5420,plain,
( ~ sQ71_spl
| op(e2,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f1624,f291]) ).
fof(f5423,plain,
( ~ sQ71_spl
| op(e0,e4) != e1 ),
inference(backward_demodulation,[status(thm)],[f1624,f254]) ).
fof(f5427,plain,
( sQ151_spl
| ~ sQ32_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f3756,f1581,f1498,f1987]) ).
fof(f5431,plain,
( sQ183_spl
| ~ sQ32_spl
| e3 != op(op(e2,e1),op(e2,e1)) ),
inference(backward_demodulation,[status(thm)],[f1499,f4903]) ).
fof(f5432,plain,
( sQ187_spl
| ~ sQ32_spl
| e4 != op(op(e2,e1),op(e2,e1)) ),
inference(backward_demodulation,[status(thm)],[f1499,f4901]) ).
fof(f5449,plain,
( sQ145_spl
| ~ sQ32_spl
| e4 != op(op(e1,e1),e2) ),
inference(backward_demodulation,[status(thm)],[f1499,f1965]) ).
fof(f5453,plain,
( sQ176_spl
| ~ sQ32_spl
| e0 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f1499,f2100]) ).
fof(f5459,plain,
( ~ sQ166_spl
| ~ sQ1_spl
| e2 = op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f1400,f2051]) ).
fof(f5463,plain,
( ~ sQ108_spl
| op(e3,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f1742,f232]) ).
fof(f5469,plain,
( ~ sQ132_spl
| ~ sQ63_spl
| ~ sQ96_spl ),
inference(split_clause,[status(thm)],[f4763,f1703,f1597,f1918]) ).
fof(f5471,plain,
( ~ sQ132_spl
| ~ sQ63_spl
| sQ86_spl ),
inference(split_clause,[status(thm)],[f4769,f1671,f1597,f1918]) ).
fof(f5472,plain,
( ~ sQ63_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f5250,f1757,f1597]) ).
fof(f5473,plain,
( ~ sQ63_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f5253,f1629,f1597]) ).
fof(f5489,plain,
( ~ sQ63_spl
| op(e0,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f1598,f234]) ).
fof(f5503,plain,
( ~ sQ132_spl
| ~ sQ63_spl
| e1 = op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f1598,f1919]) ).
fof(f5505,plain,
( ~ sQ122_spl
| op(e0,e4) != e2 ),
inference(backward_demodulation,[status(thm)],[f1787,f256]) ).
fof(f5506,plain,
( ~ sQ122_spl
| op(e1,e4) != e2 ),
inference(backward_demodulation,[status(thm)],[f1787,f259]) ).
fof(f5507,plain,
( ~ sQ122_spl
| op(e2,e4) != e2 ),
inference(backward_demodulation,[status(thm)],[f1787,f261]) ).
fof(f5513,plain,
( ~ sQ122_spl
| op(e3,e4) != e2 ),
inference(backward_demodulation,[status(thm)],[f1787,f262]) ).
fof(f5515,plain,
( ~ sQ122_spl
| op(e4,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f1787,f312]) ).
fof(f5519,plain,
( ~ sQ122_spl
| op(e4,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f1787,f306]) ).
fof(f5525,plain,
( ~ sQ73_spl
| op(e2,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f1630,f292]) ).
fof(f5527,plain,
( ~ sQ87_spl
| ~ sQ132_spl
| ~ sQ63_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f5503,f1675]) ).
fof(f5528,plain,
( ~ sQ87_spl
| ~ sQ132_spl
| ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5527,f317]) ).
fof(f5529,plain,
( ~ sQ87_spl
| ~ sQ132_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f5528]) ).
fof(f5533,plain,
( ~ sQ94_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f4479,f1712,f1696]) ).
fof(f5537,plain,
( sQ177_spl
| ~ sQ94_spl
| e2 != op(op(op(e3,e3),e3),op(e4,e3)) ),
inference(backward_demodulation,[status(thm)],[f1697,f2105]) ).
fof(f5539,plain,
( ~ sQ94_spl
| op(e3,e1) != e4 ),
inference(backward_demodulation,[status(thm)],[f1697,f298]) ).
fof(f5544,plain,
( ~ sQ94_spl
| op(e3,e0) != e4 ),
inference(backward_demodulation,[status(thm)],[f1697,f295]) ).
fof(f5551,plain,
( ~ sQ33_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f3035,f1741,f1501]) ).
fof(f5552,plain,
( ~ sQ33_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f3037,f1581,f1501]) ).
fof(f5555,plain,
( ~ sQ7_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f5191,f1466,f1418]) ).
fof(f5557,plain,
( ~ sQ7_spl
| ~ sQ5_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f1413,f1419]) ).
fof(f5558,plain,
( ~ sQ7_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5557,f314]) ).
fof(f5559,plain,
( ~ sQ7_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f5558]) ).
fof(f5567,plain,
( ~ sQ116_spl
| op(e1,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f1768,f249]) ).
fof(f5568,plain,
( ~ sQ116_spl
| op(e2,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f1768,f251]) ).
fof(f5569,plain,
( ~ sQ116_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f3405,f1751,f1767]) ).
fof(f5570,plain,
( ~ sQ109_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f4527,f1760,f1744]) ).
fof(f5574,plain,
( sQ178_spl
| ~ sQ120_spl
| e2 != op(op(e0,e4),op(e0,e4)) ),
inference(backward_demodulation,[status(thm)],[f1781,f5227]) ).
fof(f5575,plain,
( sQ163_spl
| ~ sQ120_spl
| e1 != op(op(e0,e4),op(e0,e4)) ),
inference(backward_demodulation,[status(thm)],[f1781,f5226]) ).
fof(f5616,plain,
( ~ sQ75_spl
| op(e0,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f1637,f215]) ).
fof(f5623,plain,
( ~ sQ71_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f4221,f1575,f1623]) ).
fof(f5624,plain,
( ~ sQ71_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f5420,f1591,f1623]) ).
fof(f5626,plain,
( ~ sQ71_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f5423,f1463,f1623]) ).
fof(f5639,plain,
( sQ177_spl
| ~ sQ94_spl
| e2 != op(op(e4,e3),op(e4,e3)) ),
inference(forward_demodulation,[status(thm)],[f1697,f5537]) ).
fof(f5640,plain,
( sQ177_spl
| ~ sQ94_spl
| ~ sQ116_spl
| e2 != op(e1,op(e4,e3)) ),
inference(forward_demodulation,[status(thm)],[f1768,f5639]) ).
fof(f5641,plain,
( sQ177_spl
| ~ sQ94_spl
| ~ sQ116_spl
| e2 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f1768,f5640]) ).
fof(f5645,plain,
( ~ sQ94_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f5539,f1664,f1696]) ).
fof(f5647,plain,
( ~ sQ94_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f5544,f1648,f1696]) ).
fof(f5648,plain,
( sQ157_spl
| ~ sQ61_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f4179,f1520,f1591,f2013]) ).
fof(f5667,plain,
( sQ150_spl
| ~ sQ120_spl
| e1 != op(e0,op(e4,e4)) ),
inference(forward_demodulation,[status(thm)],[f1781,f1985]) ).
fof(f5668,plain,
( sQ150_spl
| ~ sQ120_spl
| e1 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f1781,f5667]) ).
fof(f5675,plain,
( ~ sQ64_spl
| op(e0,e2) != e4 ),
inference(backward_demodulation,[status(thm)],[f1601,f234]) ).
fof(f5685,plain,
( ~ sQ61_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f4168,f1575,f1591]) ).
fof(f5691,plain,
( ~ sQ61_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f4953,f1671,f1591]) ).
fof(f5692,plain,
( ~ sQ61_spl
| ~ sQ64_spl
| e4 = e1 ),
inference(forward_demodulation,[status(thm)],[f1601,f1592]) ).
fof(f5693,plain,
( ~ sQ61_spl
| ~ sQ64_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5692,f319]) ).
fof(f5694,plain,
( ~ sQ61_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f5693]) ).
fof(f5695,plain,
( ~ sQ30_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f3583,f1508,f1492]) ).
fof(f5697,plain,
( sQ187_spl
| ~ sQ30_spl
| e4 != op(op(e0,e1),op(e0,e1)) ),
inference(backward_demodulation,[status(thm)],[f1493,f5114]) ).
fof(f5718,plain,
( ~ sQ151_spl
| ~ sQ30_spl
| e3 = op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f1493,f1988]) ).
fof(f5733,plain,
( ~ sQ155_spl
| ~ sQ120_spl
| op(e0,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f5736,f271]) ).
fof(f5736,plain,
( ~ sQ155_spl
| ~ sQ120_spl
| e3 = op(e0,e4) ),
inference(forward_demodulation,[status(thm)],[f1781,f2004]) ).
fof(f5737,plain,
( sQ156_spl
| ~ sQ30_spl
| e4 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f1493,f2010]) ).
fof(f5741,plain,
( ~ sQ8_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f3137,f1741,f1421]) ).
fof(f5743,plain,
( ~ sQ8_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f4572,f1469,f1421]) ).
fof(f5757,plain,
( ~ sQ128_spl
| op(e3,e0) = e0 ),
inference(backward_demodulation,[status(thm)],[f1806,f152]) ).
fof(f5758,plain,
( ~ sQ128_spl
| op(e0,e3) = e0 ),
inference(backward_demodulation,[status(thm)],[f1806,f153]) ).
fof(f5759,plain,
( ~ sQ128_spl
| op(e3,e1) = e1 ),
inference(backward_demodulation,[status(thm)],[f1806,f154]) ).
fof(f5761,plain,
( ~ sQ128_spl
| op(e3,e2) = e2 ),
inference(backward_demodulation,[status(thm)],[f1806,f156]) ).
fof(f5762,plain,
( ~ sQ128_spl
| op(e2,e3) = e2 ),
inference(backward_demodulation,[status(thm)],[f1806,f157]) ).
fof(f5763,plain,
( ~ sQ128_spl
| op(e3,e3) = e3 ),
inference(backward_demodulation,[status(thm)],[f1806,f158]) ).
fof(f5765,plain,
( ~ sQ128_spl
| op(e3,e4) = e4 ),
inference(backward_demodulation,[status(thm)],[f1806,f160]) ).
fof(f5766,plain,
( ~ sQ128_spl
| op(e4,e3) = e4 ),
inference(backward_demodulation,[status(thm)],[f1806,f161]) ).
fof(f5769,plain,
( ~ sQ78_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f5296,f1485,f1645]) ).
fof(f5770,plain,
( ~ sQ78_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f3821,f1709,f1645]) ).
fof(f5780,plain,
( ~ sQ54_spl
| op(e0,e0) != e4 ),
inference(backward_demodulation,[status(thm)],[f1569,f214]) ).
fof(f5783,plain,
( ~ sQ54_spl
| e4 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f1569,f285]) ).
fof(f5788,plain,
( sQ178_spl
| ~ sQ120_spl
| ~ sQ155_spl
| e2 != op(e3,op(e0,e4)) ),
inference(forward_demodulation,[status(thm)],[f5736,f5574]) ).
fof(f5789,plain,
( sQ178_spl
| ~ sQ120_spl
| ~ sQ155_spl
| e2 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f5736,f5788]) ).
fof(f5790,plain,
( sQ163_spl
| ~ sQ120_spl
| ~ sQ155_spl
| e1 != op(e3,op(e0,e4)) ),
inference(forward_demodulation,[status(thm)],[f5736,f5575]) ).
fof(f5791,plain,
( sQ163_spl
| ~ sQ120_spl
| ~ sQ155_spl
| e1 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f5736,f5790]) ).
fof(f5793,plain,
( ~ sQ63_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f4755,f1581,f1597]) ).
fof(f5797,plain,
( ~ sQ63_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f5489,f1437,f1597]) ).
fof(f5803,plain,
( ~ sQ32_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f4897,f1482,f1498]) ).
fof(f5804,plain,
( ~ sQ32_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f4898,f1658,f1498]) ).
fof(f5805,plain,
( ~ sQ32_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f4899,f1738,f1498]) ).
fof(f5806,plain,
( ~ sQ32_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f4906,f1546,f1498]) ).
fof(f5815,plain,
( sQ145_spl
| ~ sQ32_spl
| e4 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f1499,f5449]) ).
fof(f5837,plain,
( ~ sQ91_spl
| sQ163_spl
| ~ sQ120_spl
| ~ sQ155_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1688,f5791]) ).
fof(f5838,plain,
( ~ sQ91_spl
| sQ163_spl
| ~ sQ120_spl
| ~ sQ155_spl ),
inference(contradiction_clause,[status(thm)],[f5837]) ).
fof(f5855,plain,
( ~ sQ35_spl
| e0 != op(e1,e4) ),
inference(backward_demodulation,[status(thm)],[f1509,f281]) ).
fof(f5872,plain,
( ~ sQ17_spl
| op(e0,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f1451,f270]) ).
fof(f5885,plain,
( ~ sQ48_spl
| e3 != op(e3,e4) ),
inference(backward_demodulation,[status(thm)],[f1550,f258]) ).
fof(f5888,plain,
( ~ sQ36_spl
| ~ sQ35_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f1509,f1512]) ).
fof(f5889,plain,
( ~ sQ36_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5888,f313]) ).
fof(f5890,plain,
( ~ sQ36_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f5889]) ).
fof(f5907,plain,
( sQ167_spl
| ~ sQ1_spl
| e4 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f1400,f5399]) ).
fof(f5909,plain,
( ~ sQ48_spl
| op(e0,e4) != e3 ),
inference(forward_demodulation,[status(thm)],[f1550,f253]) ).
fof(f5911,plain,
( ~ sQ2_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f4956,f1466,f1402]) ).
fof(f5915,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f1400,f1403]) ).
fof(f5916,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5915,f317]) ).
fof(f5917,plain,
( ~ sQ2_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f5916]) ).
fof(f5918,plain,
( ~ sQ96_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f4053,f1687,f1703]) ).
fof(f5921,plain,
( ~ sQ96_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f4650,f1463,f1703]) ).
fof(f5926,plain,
( ~ sQ96_spl
| op(e3,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f1704,f299]) ).
fof(f5927,plain,
( ~ sQ14_spl
| e4 != op(e4,e2) ),
inference(backward_demodulation,[status(thm)],[f1441,f236]) ).
fof(f5933,plain,
( ~ sQ87_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f3208,f1754,f1674]) ).
fof(f5937,plain,
( ~ sQ87_spl
| op(e2,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f1675,f240]) ).
fof(f5946,plain,
( sQ176_spl
| ~ sQ32_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f5453,f1572,f1498,f2098]) ).
fof(f5948,plain,
( ~ sQ32_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f3761,f1530,f1498]) ).
fof(f5949,plain,
( sQ145_spl
| ~ sQ32_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f5815,f1600,f1498,f1963]) ).
fof(f5958,plain,
( ~ sQ32_spl
| e2 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f1499,f227]) ).
fof(f5970,plain,
( sQ162_spl
| ~ sQ91_spl
| e0 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f1688,f2036]) ).
fof(f5977,plain,
( ~ sQ91_spl
| op(e3,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f1688,f298]) ).
fof(f5982,plain,
( ~ sQ64_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f5675,f1440,f1600]) ).
fof(f5989,plain,
( sQ132_spl
| ~ sQ64_spl
| e1 != op(e4,e2) ),
inference(backward_demodulation,[status(thm)],[f1601,f1920]) ).
fof(f6000,plain,
( sQ188_spl
| ~ sQ64_spl
| e4 != op(op(op(e2,e2),e2),op(e4,e2)) ),
inference(backward_demodulation,[status(thm)],[f1601,f2186]) ).
fof(f6001,plain,
( ~ sQ64_spl
| e4 != op(e2,e4) ),
inference(backward_demodulation,[status(thm)],[f1601,f291]) ).
fof(f6005,plain,
( ~ sQ8_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f3135,f1453,f1421]) ).
fof(f6021,plain,
( sQ152_spl
| ~ sQ32_spl
| e2 != op(e2,op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f1499,f1993]) ).
fof(f6022,plain,
( sQ152_spl
| ~ sQ32_spl
| e2 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f1499,f6021]) ).
fof(f6031,plain,
( sQ134_spl
| ~ sQ64_spl
| e3 != op(e4,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f1601,f1927]) ).
fof(f6032,plain,
( sQ134_spl
| ~ sQ64_spl
| e3 != op(e4,e4) ),
inference(forward_demodulation,[status(thm)],[f1601,f6031]) ).
fof(f6044,plain,
( ~ sQ14_spl
| e4 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f1441,f233]) ).
fof(f6052,plain,
( ~ sQ48_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f4128,f1517,f1549]) ).
fof(f6062,plain,
( ~ sQ14_spl
| op(e0,e0) != e4 ),
inference(forward_demodulation,[status(thm)],[f1441,f264]) ).
fof(f6066,plain,
( ~ sQ18_spl
| e3 != op(e0,e4) ),
inference(backward_demodulation,[status(thm)],[f1454,f272]) ).
fof(f6070,plain,
( ~ sQ18_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f4090,f1613,f1453]) ).
fof(f6075,plain,
( ~ sQ84_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f4652,f1744,f1664]) ).
fof(f6077,plain,
( ~ sQ84_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f4654,f1648,f1664]) ).
fof(f6088,plain,
( ~ sQ48_spl
| op(e1,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f1550,f276]) ).
fof(f6109,plain,
( ~ sQ14_spl
| e4 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f1441,f270]) ).
fof(f6115,plain,
( ~ sQ109_spl
| op(e2,e1) != e4 ),
inference(backward_demodulation,[status(thm)],[f1745,f231]) ).
fof(f6130,plain,
( sQ150_spl
| ~ sQ120_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f5668,f1399,f1780,f1983]) ).
fof(f6140,plain,
( ~ sQ112_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f4889,f1722,f1754]) ).
fof(f6151,plain,
( ~ sQ96_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f5926,f1655,f1703]) ).
fof(f6156,plain,
( sQ148_spl
| ~ sQ92_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f5088,f1591,f1690,f1975]) ).
fof(f6159,plain,
( sQ169_spl
| ~ sQ92_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f4346,f1588,f1690,f2062]) ).
fof(f6164,plain,
( sQ161_spl
| ~ sQ92_spl
| ~ sQ158_spl
| e1 != op(e4,e4) ),
inference(backward_demodulation,[status(thm)],[f4704,f4692]) ).
fof(f6195,plain,
( sQ181_spl
| ~ sQ1_spl
| e1 != op(op(e0,e0),e1) ),
inference(backward_demodulation,[status(thm)],[f1400,f2128]) ).
fof(f6196,plain,
( sQ168_spl
| ~ sQ1_spl
| e3 != op(op(e0,e0),e1) ),
inference(backward_demodulation,[status(thm)],[f1400,f2059]) ).
fof(f6205,plain,
( sQ167_spl
| ~ sQ1_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f5907,f1504,f1399,f2053]) ).
fof(f6212,plain,
( ~ sQ166_spl
| ~ sQ1_spl
| e2 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f5459,f218]) ).
fof(f6214,plain,
( ~ sQ166_spl
| ~ sQ1_spl
| e2 != op(e4,e0) ),
inference(backward_demodulation,[status(thm)],[f5459,f219]) ).
fof(f6219,plain,
( sQ160_spl
| ~ sQ61_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f4178,f1508,f1591,f2026]) ).
fof(f6252,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f1400,f1406]) ).
fof(f6253,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6252,f318]) ).
fof(f6254,plain,
( ~ sQ3_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f6253]) ).
fof(f6277,plain,
( sQ132_spl
| ~ sQ60_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f3536,f1431,f1588,f1918]) ).
fof(f6284,plain,
( ~ sQ116_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f5567,f1527,f1767]) ).
fof(f6293,plain,
( ~ sQ52_spl
| e2 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f1563,f283]) ).
fof(f6295,plain,
( ~ sQ52_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f3509,f1402,f1562]) ).
fof(f6309,plain,
( ~ sQ88_spl
| op(e3,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f1678,f297]) ).
fof(f6311,plain,
( ~ sQ88_spl
| op(e1,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f1678,f238]) ).
fof(f6319,plain,
( ~ sQ81_spl
| op(e0,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f1656,f225]) ).
fof(f6328,plain,
( ~ sQ73_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f4537,f1549,f1629]) ).
fof(f6329,plain,
( ~ sQ73_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f5525,f1613,f1629]) ).
fof(f6342,plain,
( ~ sQ109_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f6115,f1584,f1744]) ).
fof(f6364,plain,
( sQ175_spl
| ~ sQ30_spl
| e2 != op(op(op(e1,e1),e1),op(e0,e1)) ),
inference(backward_demodulation,[status(thm)],[f1493,f2097]) ).
fof(f6397,plain,
( ~ sQ60_spl
| e0 != op(e4,e2) ),
inference(forward_demodulation,[status(thm)],[f1589,f241]) ).
fof(f6400,plain,
( ~ sQ52_spl
| e2 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f1563,f284]) ).
fof(f6403,plain,
( sQ161_spl
| ~ sQ90_spl
| e1 != op(op(e0,e3),op(e0,e3)) ),
inference(forward_demodulation,[status(thm)],[f1685,f5337]) ).
fof(f6406,plain,
( sQ148_spl
| ~ sQ90_spl
| e1 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f1685,f5320]) ).
fof(f6408,plain,
( sQ136_spl
| ~ sQ90_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f5319,f1447,f1684,f1932]) ).
fof(f6409,plain,
( ~ sQ52_spl
| e2 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f1563,f285]) ).
fof(f6410,plain,
( sQ158_spl
| ~ sQ90_spl
| e4 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f1685,f2020]) ).
fof(f6439,plain,
( ~ sQ52_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f6293,f1578,f1562]) ).
fof(f6442,plain,
( ~ sQ73_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f4541,f1789,f1629]) ).
fof(f6444,plain,
( ~ sQ60_spl
| ~ sQ70_spl ),
inference(split_clause,[status(thm)],[f3524,f1620,f1588]) ).
fof(f6459,plain,
( ~ sQ90_spl
| op(e2,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f1685,f250]) ).
fof(f6462,plain,
( sQ138_spl
| ~ sQ90_spl
| e2 != op(e0,op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f1685,f1941]) ).
fof(f6463,plain,
( sQ138_spl
| ~ sQ90_spl
| e2 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f1685,f6462]) ).
fof(f6469,plain,
( ~ sQ8_spl
| op(e0,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f1422,f263]) ).
fof(f6474,plain,
( ~ sQ61_spl
| ~ sQ60_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f1589,f1592]) ).
fof(f6475,plain,
( ~ sQ61_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6474,f313]) ).
fof(f6476,plain,
( ~ sQ61_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f6475]) ).
fof(f6486,plain,
( ~ sQ123_spl
| op(e1,e4) != e3 ),
inference(backward_demodulation,[status(thm)],[f1790,f259]) ).
fof(f6487,plain,
( ~ sQ123_spl
| op(e3,e4) != e3 ),
inference(backward_demodulation,[status(thm)],[f1790,f262]) ).
fof(f6492,plain,
( ~ sQ34_spl
| e4 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f1505,f278]) ).
fof(f6499,plain,
( ~ sQ34_spl
| e4 != op(e1,e4) ),
inference(backward_demodulation,[status(thm)],[f1505,f279]) ).
fof(f6505,plain,
( ~ sQ121_spl
| ~ sQ123_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f1790,f1784]) ).
fof(f6506,plain,
( ~ sQ121_spl
| ~ sQ123_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6505,f318]) ).
fof(f6507,plain,
( ~ sQ121_spl
| ~ sQ123_spl ),
inference(contradiction_clause,[status(thm)],[f6506]) ).
fof(f6508,plain,
( ~ sQ122_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f5505,f1466,f1786]) ).
fof(f6509,plain,
( ~ sQ122_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f5506,f1546,f1786]) ).
fof(f6510,plain,
( ~ sQ122_spl
| ~ sQ72_spl ),
inference(split_clause,[status(thm)],[f5507,f1626,f1786]) ).
fof(f6514,plain,
( ~ sQ122_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f5519,f1722,f1786]) ).
fof(f6533,plain,
( ~ sQ0_spl
| e0 != op(e4,e0) ),
inference(backward_demodulation,[status(thm)],[f1397,f216]) ).
fof(f6536,plain,
( ~ sQ0_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f3987,f1556,f1396]) ).
fof(f6538,plain,
( ~ sQ22_spl
| op(e0,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f1467,f271]) ).
fof(f6540,plain,
( ~ sQ22_spl
| op(e0,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f1467,f272]) ).
fof(f6563,plain,
( ~ sQ105_spl
| e0 != op(e4,e2) ),
inference(backward_demodulation,[status(thm)],[f1733,f307]) ).
fof(f6565,plain,
( ~ sQ105_spl
| op(e3,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f1733,f232]) ).
fof(f6567,plain,
( ~ sQ107_spl
| ~ sQ105_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f1733,f1739]) ).
fof(f6568,plain,
( ~ sQ107_spl
| ~ sQ105_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6567,f314]) ).
fof(f6569,plain,
( ~ sQ107_spl
| ~ sQ105_spl ),
inference(contradiction_clause,[status(thm)],[f6568]) ).
fof(f6570,plain,
( ~ sQ107_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f3383,f1578,f1738]) ).
fof(f6571,plain,
( ~ sQ107_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f3384,f1786,f1738]) ).
fof(f6595,plain,
( ~ sQ87_spl
| e2 != op(e3,e4) ),
inference(backward_demodulation,[status(thm)],[f1675,f301]) ).
fof(f6597,plain,
( ~ sQ87_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f3317,f1434,f1674]) ).
fof(f6598,plain,
( ~ sQ34_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f6499,f1552,f1504]) ).
fof(f6607,plain,
( ~ sQ34_spl
| e4 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f1505,f277]) ).
fof(f6611,plain,
( ~ sQ34_spl
| e4 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f1505,f227]) ).
fof(f6613,plain,
( ~ sQ34_spl
| e4 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f1505,f228]) ).
fof(f6618,plain,
( ~ sQ46_spl
| op(e0,e4) != e1 ),
inference(backward_demodulation,[status(thm)],[f1544,f253]) ).
fof(f6625,plain,
( ~ sQ46_spl
| op(e1,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f1544,f276]) ).
fof(f6637,plain,
( ~ sQ17_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f5872,f1434,f1450]) ).
fof(f6654,plain,
( ~ sQ114_spl
| op(e1,e2) != e4 ),
inference(backward_demodulation,[status(thm)],[f1761,f239]) ).
fof(f6671,plain,
( ~ sQ5_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f5410,f1460,f1412]) ).
fof(f6693,plain,
( sQ168_spl
| ~ sQ1_spl
| e3 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f1400,f6196]) ).
fof(f6694,plain,
( sQ181_spl
| ~ sQ1_spl
| e1 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f1400,f6195]) ).
fof(f6739,plain,
( ~ sQ75_spl
| e0 != op(e3,e4) ),
inference(backward_demodulation,[status(thm)],[f1637,f296]) ).
fof(f6740,plain,
( ~ sQ75_spl
| e0 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f1637,f293]) ).
fof(f6741,plain,
( ~ sQ75_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f4930,f1684,f1636]) ).
fof(f6745,plain,
( ~ sQ38_spl
| e3 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f1518,f280]) ).
fof(f6747,plain,
( ~ sQ103_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f3682,f1645,f1725]) ).
fof(f6751,plain,
( ~ sQ103_spl
| op(e2,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f1726,f221]) ).
fof(f6761,plain,
( ~ sQ46_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f6618,f1463,f1543]) ).
fof(f6763,plain,
( ~ sQ46_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f6625,f1479,f1543]) ).
fof(f6774,plain,
( sQ183_spl
| ~ sQ30_spl
| ~ sQ8_spl
| e3 != op(e3,op(e0,e1)) ),
inference(forward_demodulation,[status(thm)],[f1422,f5105]) ).
fof(f6775,plain,
( sQ183_spl
| ~ sQ30_spl
| ~ sQ8_spl
| e3 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f1422,f6774]) ).
fof(f6792,plain,
( sQ175_spl
| ~ sQ30_spl
| ~ sQ8_spl
| e2 != op(op(op(e1,e1),e1),e3) ),
inference(forward_demodulation,[status(thm)],[f1422,f6364]) ).
fof(f6796,plain,
( sQ175_spl
| ~ sQ30_spl
| ~ sQ8_spl
| e2 != op(op(e0,e1),e3) ),
inference(backward_demodulation,[status(thm)],[f1493,f6792]) ).
fof(f6826,plain,
( sQ158_spl
| ~ sQ90_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f6410,f1456,f1684,f2018]) ).
fof(f6827,plain,
( sQ138_spl
| ~ sQ90_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f6463,f1402,f1684,f1939]) ).
fof(f6830,plain,
( ~ sQ90_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f6459,f1604,f1684]) ).
fof(f6913,plain,
( ~ sQ56_spl
| op(e0,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f1576,f224]) ).
fof(f6915,plain,
( ~ sQ103_spl
| op(e1,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f1726,f219]) ).
fof(f6921,plain,
( ~ sQ82_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f4267,f1674,f1658]) ).
fof(f6922,plain,
( ~ sQ82_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f4269,f1738,f1658]) ).
fof(f6934,plain,
( ~ sQ75_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f6739,f1700,f1636]) ).
fof(f6938,plain,
( sQ168_spl
| ~ sQ1_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f6693,f1501,f1399,f2057]) ).
fof(f6939,plain,
( sQ181_spl
| ~ sQ1_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f6694,f1495,f1399,f2126]) ).
fof(f6966,plain,
( ~ sQ166_spl
| ~ sQ1_spl
| e2 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f5459,f274]) ).
fof(f6973,plain,
( ~ sQ166_spl
| ~ sQ1_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f6214,f1722,f1399,f2050]) ).
fof(f7010,plain,
( sQ138_spl
| ~ sQ91_spl
| e2 != op(op(e3,e3),e1) ),
inference(backward_demodulation,[status(thm)],[f1688,f1941]) ).
fof(f7032,plain,
( sQ162_spl
| ~ sQ91_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f5970,f1524,f1687,f2034]) ).
fof(f7049,plain,
( ~ sQ60_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f3458,f1508,f1588]) ).
fof(f7050,plain,
( ~ sQ60_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f6397,f1748,f1588]) ).
fof(f7056,plain,
( sQ153_spl
| ~ sQ60_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f3527,f1437,f1588,f1995]) ).
fof(f7063,plain,
( ~ sQ33_spl
| ~ sQ83_spl ),
inference(split_clause,[status(thm)],[f3036,f1661,f1501]) ).
fof(f7066,plain,
( ~ sQ33_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f3034,f1485,f1501]) ).
fof(f7080,plain,
( ~ sQ33_spl
| e3 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f1502,f277]) ).
fof(f7083,plain,
( sQ183_spl
| ~ sQ33_spl
| e3 != op(op(e3,e1),op(e3,e1)) ),
inference(forward_demodulation,[status(thm)],[f1502,f3022]) ).
fof(f7088,plain,
( sQ182_spl
| ~ sQ33_spl
| e0 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f1502,f3030]) ).
fof(f7090,plain,
( sQ146_spl
| ~ sQ33_spl
| e3 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f1502,f3025]) ).
fof(f7093,plain,
( sQ143_spl
| ~ sQ33_spl
| e0 != op(op(e3,e1),op(e3,e1)) ),
inference(forward_demodulation,[status(thm)],[f1502,f3019]) ).
fof(f7094,plain,
( sQ143_spl
| ~ sQ33_spl
| ~ sQ82_spl
| e0 != op(e2,op(e3,e1)) ),
inference(forward_demodulation,[status(thm)],[f1659,f7093]) ).
fof(f7095,plain,
( sQ143_spl
| ~ sQ33_spl
| ~ sQ82_spl
| e0 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f1659,f7094]) ).
fof(f7096,plain,
( sQ143_spl
| ~ sQ33_spl
| ~ sQ82_spl
| ~ sQ60_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f1589,f7095]) ).
fof(f7097,plain,
( sQ143_spl
| ~ sQ33_spl
| ~ sQ82_spl
| ~ sQ60_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7096]) ).
fof(f7098,plain,
( sQ143_spl
| ~ sQ33_spl
| ~ sQ82_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f7097]) ).
fof(f7112,plain,
( sQ186_spl
| ~ sQ1_spl
| e3 != op(op(e1,e0),op(op(e0,e0),e0)) ),
inference(forward_demodulation,[status(thm)],[f1400,f2160]) ).
fof(f7113,plain,
( sQ186_spl
| ~ sQ1_spl
| ~ sQ166_spl
| e3 != op(e2,op(op(e0,e0),e0)) ),
inference(forward_demodulation,[status(thm)],[f5459,f7112]) ).
fof(f7114,plain,
( sQ186_spl
| ~ sQ1_spl
| ~ sQ166_spl
| e3 != op(e2,op(e1,e0)) ),
inference(forward_demodulation,[status(thm)],[f1400,f7113]) ).
fof(f7115,plain,
( sQ186_spl
| ~ sQ1_spl
| ~ sQ166_spl
| e3 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f5459,f7114]) ).
fof(f7116,plain,
( sQ190_spl
| ~ sQ1_spl
| e4 != op(op(e1,e0),op(op(e0,e0),e0)) ),
inference(forward_demodulation,[status(thm)],[f1400,f2196]) ).
fof(f7126,plain,
( ~ sQ171_spl
| ~ sQ1_spl
| e3 = op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f1400,f2072]) ).
fof(f7127,plain,
( ~ sQ171_spl
| ~ sQ1_spl
| ~ sQ166_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f5459,f7126]) ).
fof(f7128,plain,
( ~ sQ171_spl
| ~ sQ1_spl
| ~ sQ166_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7127,f320]) ).
fof(f7129,plain,
( ~ sQ171_spl
| ~ sQ1_spl
| ~ sQ166_spl ),
inference(contradiction_clause,[status(thm)],[f7128]) ).
fof(f7145,plain,
( ~ sQ107_spl
| e2 != op(e4,e3) ),
inference(backward_demodulation,[status(thm)],[f1739,f308]) ).
fof(f7149,plain,
( ~ sQ35_spl
| e0 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f1509,f238]) ).
fof(f7151,plain,
( ~ sQ14_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f6109,f1456,f1440]) ).
fof(f7152,plain,
( ~ sQ14_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f6062,f1408,f1440]) ).
fof(f7153,plain,
( ~ sQ14_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f6044,f1520,f1440]) ).
fof(f7154,plain,
( ~ sQ14_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f5927,f1760,f1440]) ).
fof(f7171,plain,
( ~ sQ5_spl
| e0 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f1413,f268]) ).
fof(f7194,plain,
( ~ sQ111_spl
| e1 != op(e4,e4) ),
inference(backward_demodulation,[status(thm)],[f1752,f311]) ).
fof(f7256,plain,
( sQ189_spl
| ~ sQ92_spl
| ~ sQ65_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f4376,f1408,f1604,f1690,f2189]) ).
fof(f7257,plain,
( sQ161_spl
| ~ sQ92_spl
| ~ sQ65_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f4371,f1399,f1604,f1690,f2031]) ).
fof(f7260,plain,
( ~ sQ111_spl
| op(e2,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f1752,f241]) ).
fof(f7304,plain,
( ~ sQ34_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f6607,f1520,f1504]) ).
fof(f7309,plain,
( ~ sQ34_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f6613,f1664,f1504]) ).
fof(f7318,plain,
( sQ187_spl
| ~ sQ34_spl
| e4 != op(op(op(e1,e1),e1),op(e4,e1)) ),
inference(backward_demodulation,[status(thm)],[f1505,f2181]) ).
fof(f7322,plain,
( sQ152_spl
| ~ sQ34_spl
| e2 != op(op(e1,e1),e4) ),
inference(backward_demodulation,[status(thm)],[f1505,f1993]) ).
fof(f7323,plain,
( sQ151_spl
| ~ sQ34_spl
| e3 != op(e4,e1) ),
inference(backward_demodulation,[status(thm)],[f1505,f1989]) ).
fof(f7331,plain,
( ~ sQ8_spl
| ~ sQ5_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f1413,f1422]) ).
fof(f7332,plain,
( ~ sQ8_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7331,f315]) ).
fof(f7333,plain,
( ~ sQ8_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f7332]) ).
fof(f7334,plain,
( ~ sQ103_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f6751,f1565,f1725]) ).
fof(f7343,plain,
( ~ sQ65_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f4295,f1764,f1604]) ).
fof(f7345,plain,
( ~ sQ65_spl
| e0 != op(e2,e4) ),
inference(backward_demodulation,[status(thm)],[f1605,f292]) ).
fof(f7352,plain,
( ~ sQ128_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f5757,f1636,f1805]) ).
fof(f7353,plain,
( ~ sQ128_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f5758,f1444,f1805]) ).
fof(f7357,plain,
( ~ sQ128_spl
| e1 != op(e3,e4) ),
inference(backward_demodulation,[status(thm)],[f5759,f299]) ).
fof(f7360,plain,
( ~ sQ128_spl
| op(e0,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f5759,f225]) ).
fof(f7362,plain,
( ~ sQ128_spl
| sQ87_spl ),
inference(split_clause,[status(thm)],[f5761,f1674,f1805]) ).
fof(f7363,plain,
( ~ sQ128_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f5762,f1610,f1805]) ).
fof(f7364,plain,
( ~ sQ128_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f5763,f1693,f1805]) ).
fof(f7368,plain,
( ~ sQ128_spl
| op(e1,e4) != e4 ),
inference(backward_demodulation,[status(thm)],[f5765,f258]) ).
fof(f7370,plain,
( ~ sQ128_spl
| sQ119_spl ),
inference(split_clause,[status(thm)],[f5766,f1776,f1805]) ).
fof(f7374,plain,
( ~ sQ128_spl
| op(e4,e3) = e4 ),
inference(backward_demodulation,[status(thm)],[f1806,f161]) ).
fof(f7380,plain,
( ~ sQ128_spl
| op(e1,e3) = e1 ),
inference(backward_demodulation,[status(thm)],[f1806,f155]) ).
fof(f7383,plain,
( ~ sQ128_spl
| op(e3,e0) = e0 ),
inference(backward_demodulation,[status(thm)],[f1806,f152]) ).
fof(f7388,plain,
( ~ sQ88_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f6311,f1517,f1677]) ).
fof(f7392,plain,
( ~ sQ53_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f4136,f1629,f1565]) ).
fof(f7395,plain,
( ~ sQ53_spl
| e3 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f1566,f284]) ).
fof(f7399,plain,
( ~ sQ35_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f7149,f1668,f1508]) ).
fof(f7400,plain,
( ~ sQ111_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f7194,f1783,f1751]) ).
fof(f7402,plain,
( ~ sQ111_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f7260,f1591,f1751]) ).
fof(f7406,plain,
( ~ sQ41_spl
| op(e1,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f1528,f275]) ).
fof(f7416,plain,
( sQ184_spl
| ~ sQ61_spl
| ~ sQ35_spl
| e3 != op(e0,op(e1,e2)) ),
inference(forward_demodulation,[status(thm)],[f1509,f4933]) ).
fof(f7417,plain,
( sQ184_spl
| ~ sQ61_spl
| ~ sQ35_spl
| e3 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f1509,f7416]) ).
fof(f7427,plain,
( sQ173_spl
| ~ sQ61_spl
| e0 != op(op(e2,e2),e1) ),
inference(backward_demodulation,[status(thm)],[f1592,f2082]) ).
fof(f7445,plain,
( ~ sQ33_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f7080,f1517,f1501]) ).
fof(f7458,plain,
( sQ183_spl
| ~ sQ33_spl
| ~ sQ128_spl
| e3 != op(e1,op(e3,e1)) ),
inference(forward_demodulation,[status(thm)],[f5759,f7083]) ).
fof(f7459,plain,
( sQ183_spl
| ~ sQ33_spl
| ~ sQ128_spl
| e3 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f5759,f7458]) ).
fof(f7460,plain,
( sQ183_spl
| ~ sQ33_spl
| ~ sQ128_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f1502,f7459]) ).
fof(f7461,plain,
( sQ183_spl
| ~ sQ33_spl
| ~ sQ128_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7460]) ).
fof(f7462,plain,
( sQ183_spl
| ~ sQ33_spl
| ~ sQ128_spl ),
inference(contradiction_clause,[status(thm)],[f7461]) ).
fof(f7465,plain,
( ~ sQ18_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f6066,f1469,f1453]) ).
fof(f7467,plain,
( ~ sQ18_spl
| op(e0,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f1454,f270]) ).
fof(f7480,plain,
( ~ sQ109_spl
| op(e0,e1) != e4 ),
inference(backward_demodulation,[status(thm)],[f1745,f226]) ).
fof(f7490,plain,
( ~ sQ12_spl
| e2 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f1435,f234]) ).
fof(f7491,plain,
( ~ sQ12_spl
| op(e0,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f1435,f267]) ).
fof(f7494,plain,
( ~ sQ12_spl
| op(e0,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f1435,f264]) ).
fof(f7525,plain,
( sQ190_spl
| ~ sQ1_spl
| ~ sQ171_spl
| e4 != op(e3,op(op(e0,e0),e0)) ),
inference(forward_demodulation,[status(thm)],[f7126,f7116]) ).
fof(f7526,plain,
( sQ190_spl
| ~ sQ1_spl
| ~ sQ171_spl
| e4 != op(e3,op(e1,e0)) ),
inference(forward_demodulation,[status(thm)],[f1400,f7525]) ).
fof(f7527,plain,
( sQ190_spl
| ~ sQ1_spl
| ~ sQ171_spl
| e4 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f7126,f7526]) ).
fof(f7657,plain,
( ~ sQ94_spl
| sQ190_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1697,f7527]) ).
fof(f7658,plain,
( ~ sQ94_spl
| sQ190_spl
| ~ sQ1_spl
| ~ sQ171_spl ),
inference(contradiction_clause,[status(thm)],[f7657]) ).
fof(f7668,plain,
( ~ sQ52_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f6400,f1594,f1562]) ).
fof(f7687,plain,
( ~ sQ75_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f5616,f1396,f1636]) ).
fof(f7695,plain,
( ~ sQ58_spl
| e3 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f1582,f230]) ).
fof(f7702,plain,
( ~ sQ40_spl
| e0 != op(e1,e4) ),
inference(forward_demodulation,[status(thm)],[f1525,f282]) ).
fof(f7714,plain,
( ~ sQ66_spl
| e1 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f1608,f250]) ).
fof(f7720,plain,
( ~ sQ23_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f3771,f1629,f1469]) ).
fof(f7724,plain,
( ~ sQ24_spl
| ~ sQ155_spl
| ~ sQ120_spl
| e3 = e4 ),
inference(forward_demodulation,[status(thm)],[f5736,f1473]) ).
fof(f7725,plain,
( ~ sQ24_spl
| ~ sQ155_spl
| ~ sQ120_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7724,f322]) ).
fof(f7726,plain,
( ~ sQ24_spl
| ~ sQ155_spl
| ~ sQ120_spl ),
inference(contradiction_clause,[status(thm)],[f7725]) ).
fof(f7727,plain,
( ~ sQ12_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f7490,f1594,f1434]) ).
fof(f7728,plain,
( ~ sQ12_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f7491,f1418,f1434]) ).
fof(f7729,plain,
( ~ sQ12_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f7494,f1402,f1434]) ).
fof(f7733,plain,
( ~ sQ0_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f6533,f1716,f1396]) ).
fof(f7754,plain,
( ~ sQ62_spl
| ~ sQ72_spl ),
inference(split_clause,[status(thm)],[f3367,f1626,f1594]) ).
fof(f7759,plain,
( ~ sQ13_spl
| ~ sQ12_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f1435,f1438]) ).
fof(f7760,plain,
( ~ sQ13_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7759,f320]) ).
fof(f7761,plain,
( ~ sQ13_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f7760]) ).
fof(f7776,plain,
( ~ sQ30_spl
| e0 != op(e4,e1) ),
inference(backward_demodulation,[status(thm)],[f1493,f229]) ).
fof(f7793,plain,
( ~ sQ107_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f7145,f1770,f1738]) ).
fof(f7807,plain,
( sQ163_spl
| ~ sQ149_spl
| e1 != op(op(op(e4,e4),e4),e2) ),
inference(backward_demodulation,[status(thm)],[f1980,f2041]) ).
fof(f7892,plain,
( ~ sQ149_spl
| ~ sQ120_spl
| e2 = op(e0,e4) ),
inference(backward_demodulation,[status(thm)],[f1781,f1980]) ).
fof(f7917,plain,
( sQ187_spl
| ~ sQ30_spl
| ~ sQ8_spl
| e4 != op(op(e0,e1),e3) ),
inference(backward_demodulation,[status(thm)],[f1422,f5697]) ).
fof(f7922,plain,
( sQ175_spl
| ~ sQ30_spl
| ~ sQ8_spl
| e2 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f1422,f6796]) ).
fof(f7924,plain,
( sQ183_spl
| ~ sQ30_spl
| ~ sQ8_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f6775,f1693,f1421,f1492,f2143]) ).
fof(f8023,plain,
( ~ sQ84_spl
| e4 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f1665,f297]) ).
fof(f8059,plain,
( ~ sQ56_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f6913,f1415,f1575]) ).
fof(f8075,plain,
( ~ sQ52_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f6409,f1610,f1562]) ).
fof(f8077,plain,
( ~ sQ30_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f7776,f1732,f1492]) ).
fof(f8084,plain,
( ~ sQ52_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f4790,f1482,f1562]) ).
fof(f8126,plain,
( ~ sQ33_spl
| ~ sQ30_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f1493,f1502]) ).
fof(f8127,plain,
( ~ sQ33_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8126,f315]) ).
fof(f8128,plain,
( ~ sQ33_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f8127]) ).
fof(f8129,plain,
( ~ sQ18_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f7467,f1437,f1453]) ).
fof(f8134,plain,
( ~ sQ18_spl
| e3 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f1454,f243]) ).
fof(f8149,plain,
( ~ sQ47_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f4559,f1466,f1546]) ).
fof(f8154,plain,
( ~ sQ47_spl
| op(e1,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f1547,f282]) ).
fof(f8161,plain,
( ~ sQ119_spl
| op(e4,e2) != e4 ),
inference(backward_demodulation,[status(thm)],[f1777,f310]) ).
fof(f8162,plain,
( ~ sQ119_spl
| op(e4,e1) != e4 ),
inference(backward_demodulation,[status(thm)],[f1777,f308]) ).
fof(f8165,plain,
( ~ sQ119_spl
| op(e1,e3) != e4 ),
inference(backward_demodulation,[status(thm)],[f1777,f249]) ).
fof(f8175,plain,
( ~ sQ74_spl
| e4 != op(e4,e4) ),
inference(backward_demodulation,[status(thm)],[f1633,f261]) ).
fof(f8177,plain,
( ~ sQ74_spl
| op(e2,e3) != e4 ),
inference(backward_demodulation,[status(thm)],[f1633,f292]) ).
fof(f8264,plain,
( ~ sQ149_spl
| ~ sQ120_spl
| e2 != op(e3,e4) ),
inference(backward_demodulation,[status(thm)],[f7892,f255]) ).
fof(f8375,plain,
( ~ sQ84_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f8023,f1680,f1664]) ).
fof(f8400,plain,
( ~ sQ107_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f3408,f1754,f1738]) ).
fof(f8446,plain,
( ~ sQ136_spl
| ~ sQ92_spl
| e1 = op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f1691,f1933]) ).
fof(f8502,plain,
( ~ sQ111_spl
| op(e3,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f1752,f242]) ).
fof(f8508,plain,
( ~ sQ153_spl
| ~ sQ60_spl
| e3 = op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f1589,f1996]) ).
fof(f8523,plain,
( ~ sQ103_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f6915,f1485,f1725]) ).
fof(f8528,plain,
( ~ sQ112_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f3316,f1434,f1754]) ).
fof(f8536,plain,
( ~ sQ40_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f4909,f1444,f1524]) ).
fof(f8537,plain,
( ~ sQ40_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f3182,f1604,f1524]) ).
fof(f8540,plain,
( ~ sQ104_spl
| ~ sQ103_spl
| e3 = e4 ),
inference(forward_demodulation,[status(thm)],[f1726,f1729]) ).
fof(f8541,plain,
( ~ sQ104_spl
| ~ sQ103_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8540,f322]) ).
fof(f8542,plain,
( ~ sQ104_spl
| ~ sQ103_spl ),
inference(contradiction_clause,[status(thm)],[f8541]) ).
fof(f8544,plain,
( ~ sQ74_spl
| ~ sQ124_spl ),
inference(split_clause,[status(thm)],[f8175,f1792,f1632]) ).
fof(f8557,plain,
( ~ sQ116_spl
| ~ sQ66_spl ),
inference(split_clause,[status(thm)],[f5568,f1607,f1767]) ).
fof(f8565,plain,
( ~ sQ55_spl
| e0 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f1573,f230]) ).
fof(f8566,plain,
( ~ sQ55_spl
| e0 != op(e4,e1) ),
inference(backward_demodulation,[status(thm)],[f1573,f231]) ).
fof(f8579,plain,
( ~ sQ116_spl
| op(e4,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f1768,f308]) ).
fof(f8615,plain,
( sQ185_spl
| ~ sQ149_spl
| e3 != op(op(op(e4,e4),e4),e2) ),
inference(backward_demodulation,[status(thm)],[f1980,f2155]) ).
fof(f8619,plain,
( sQ163_spl
| ~ sQ149_spl
| e1 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f1980,f7807]) ).
fof(f8624,plain,
( ~ sQ61_spl
| sQ163_spl
| ~ sQ149_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1592,f8619]) ).
fof(f8625,plain,
( ~ sQ61_spl
| sQ163_spl
| ~ sQ149_spl ),
inference(contradiction_clause,[status(thm)],[f8624]) ).
fof(f8628,plain,
( ~ sQ22_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f6538,f1434,f1466]) ).
fof(f8647,plain,
( ~ sQ102_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f5361,f1562,f1722]) ).
fof(f8661,plain,
( ~ sQ55_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f8565,f1652,f1572]) ).
fof(f8662,plain,
( ~ sQ55_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f8566,f1732,f1572]) ).
fof(f8675,plain,
( sQ135_spl
| ~ sQ92_spl
| e0 != op(op(op(e3,e3),e3),op(e2,e3)) ),
inference(backward_demodulation,[status(thm)],[f1691,f1931]) ).
fof(f8685,plain,
( ~ sQ136_spl
| ~ sQ92_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f8446,f1607,f1690,f1932]) ).
fof(f8687,plain,
( sQ161_spl
| ~ sQ92_spl
| ~ sQ158_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f6164,f1783,f2018,f1690,f2031]) ).
fof(f8690,plain,
( ~ sQ158_spl
| ~ sQ92_spl
| ~ sQ74_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4704,f8177]) ).
fof(f8691,plain,
( ~ sQ158_spl
| ~ sQ92_spl
| ~ sQ74_spl ),
inference(contradiction_clause,[status(thm)],[f8690]) ).
fof(f8692,plain,
( ~ sQ32_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f5958,f1578,f1498]) ).
fof(f8709,plain,
( sQ152_spl
| ~ sQ32_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f6022,f1594,f1498,f1991]) ).
fof(f8744,plain,
( ~ sQ105_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f6563,f1748,f1732]) ).
fof(f8745,plain,
( ~ sQ105_spl
| e0 != op(e4,e3) ),
inference(backward_demodulation,[status(thm)],[f1733,f308]) ).
fof(f8749,plain,
( ~ sQ68_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f3836,f1565,f1613]) ).
fof(f8751,plain,
( ~ sQ68_spl
| op(e1,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f1614,f247]) ).
fof(f8767,plain,
( ~ sQ36_spl
| e1 != op(e1,e4) ),
inference(backward_demodulation,[status(thm)],[f1512,f281]) ).
fof(f8770,plain,
( ~ sQ36_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f4465,f1591,f1511]) ).
fof(f8847,plain,
( sQ173_spl
| ~ sQ61_spl
| e0 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f1592,f7427]) ).
fof(f8897,plain,
( ~ sQ91_spl
| op(e1,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f1688,f248]) ).
fof(f8900,plain,
( ~ sQ91_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f5977,f1655,f1687]) ).
fof(f8911,plain,
( ~ sQ121_spl
| op(e0,e4) != e1 ),
inference(forward_demodulation,[status(thm)],[f1784,f256]) ).
fof(f8913,plain,
( ~ sQ151_spl
| ~ sQ32_spl
| e3 = op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f1499,f1988]) ).
fof(f8914,plain,
( ~ sQ151_spl
| ~ sQ32_spl
| ~ sQ68_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8913,f3840]) ).
fof(f8915,plain,
( ~ sQ151_spl
| ~ sQ32_spl
| ~ sQ68_spl ),
inference(contradiction_clause,[status(thm)],[f8914]) ).
fof(f8929,plain,
( ~ sQ109_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f7480,f1424,f1744]) ).
fof(f8936,plain,
( ~ sQ117_spl
| op(e1,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f1771,f249]) ).
fof(f8943,plain,
( ~ sQ81_spl
| op(e3,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f1656,f293]) ).
fof(f8948,plain,
( ~ sQ81_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f6319,f1415,f1655]) ).
fof(f8952,plain,
( ~ sQ89_spl
| op(e0,e2) != e4 ),
inference(backward_demodulation,[status(thm)],[f1681,f235]) ).
fof(f8976,plain,
( ~ sQ121_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f8911,f1463,f1783]) ).
fof(f9018,plain,
( ~ sQ122_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f5513,f1706,f1786]) ).
fof(f9019,plain,
( ~ sQ122_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f5515,f1770,f1786]) ).
fof(f9020,plain,
( ~ sQ122_spl
| ~ sQ121_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f1784,f1787]) ).
fof(f9021,plain,
( ~ sQ122_spl
| ~ sQ121_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9020,f317]) ).
fof(f9022,plain,
( ~ sQ122_spl
| ~ sQ121_spl ),
inference(contradiction_clause,[status(thm)],[f9021]) ).
fof(f9066,plain,
( ~ sQ48_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f5885,f1709,f1549]) ).
fof(f9071,plain,
( ~ sQ48_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f6088,f1485,f1549]) ).
fof(f9081,plain,
( ~ sQ113_spl
| op(e0,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f1758,f236]) ).
fof(f9102,plain,
( ~ sQ89_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f8952,f1440,f1680]) ).
fof(f9127,plain,
( ~ sQ149_spl
| ~ sQ120_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f8264,f1706,f1780,f1979]) ).
fof(f9153,plain,
( ~ sQ90_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f5324,f1652,f1684]) ).
fof(f9166,plain,
( ~ sQ90_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f5322,f1524,f1684]) ).
fof(f9167,plain,
( sQ147_spl
| ~ sQ90_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f5325,f1450,f1684,f1971]) ).
fof(f9171,plain,
( ~ sQ94_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f4478,f1680,f1696]) ).
fof(f9172,plain,
( ~ sQ94_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f5045,f1536,f1696]) ).
fof(f9173,plain,
( ~ sQ94_spl
| ~ sQ90_spl
| e0 = e4 ),
inference(forward_demodulation,[status(thm)],[f1685,f1697]) ).
fof(f9174,plain,
( ~ sQ94_spl
| ~ sQ90_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9173,f316]) ).
fof(f9175,plain,
( ~ sQ94_spl
| ~ sQ90_spl ),
inference(contradiction_clause,[status(thm)],[f9174]) ).
fof(f9176,plain,
( ~ sQ36_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f8767,f1543,f1511]) ).
fof(f9204,plain,
( ~ sQ113_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f9081,f1437,f1757]) ).
fof(f9247,plain,
( ~ sQ91_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f8897,f1527,f1687]) ).
fof(f9258,plain,
( sQ135_spl
| ~ sQ91_spl
| e0 != op(op(op(e3,e3),e3),op(e1,e3)) ),
inference(backward_demodulation,[status(thm)],[f1688,f1931]) ).
fof(f9271,plain,
( sQ138_spl
| ~ sQ91_spl
| e2 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f1688,f7010]) ).
fof(f9272,plain,
( sQ138_spl
| ~ sQ91_spl
| ~ sQ32_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f1499,f9271]) ).
fof(f9273,plain,
( sQ138_spl
| ~ sQ91_spl
| ~ sQ32_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9272]) ).
fof(f9274,plain,
( sQ138_spl
| ~ sQ91_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f9273]) ).
fof(f9281,plain,
( ~ sQ102_spl
| e2 != op(e4,e1) ),
inference(backward_demodulation,[status(thm)],[f1723,f303]) ).
fof(f9289,plain,
( ~ sQ85_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f3774,f1652,f1668]) ).
fof(f9290,plain,
( ~ sQ85_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f3661,f1748,f1668]) ).
fof(f9298,plain,
( ~ sQ124_spl
| op(e4,e3) != e4 ),
inference(backward_demodulation,[status(thm)],[f1793,f312]) ).
fof(f9303,plain,
( ~ sQ124_spl
| op(e1,e4) != e4 ),
inference(backward_demodulation,[status(thm)],[f1793,f259]) ).
fof(f9320,plain,
( sQ184_spl
| ~ sQ61_spl
| e3 != op(op(op(e2,e2),e2),op(e1,e2)) ),
inference(backward_demodulation,[status(thm)],[f1592,f2150]) ).
fof(f9336,plain,
( sQ137_spl
| ~ sQ94_spl
| ~ sQ124_spl ),
inference(split_clause,[status(thm)],[f4495,f1792,f1696,f1935]) ).
fof(f9337,plain,
( sQ136_spl
| ~ sQ94_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f4504,f1767,f1696,f1932]) ).
fof(f9359,plain,
( ~ sQ123_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f6487,f1709,f1789]) ).
fof(f9360,plain,
( ~ sQ123_spl
| ~ sQ124_spl
| e4 = e3 ),
inference(forward_demodulation,[status(thm)],[f1793,f1790]) ).
fof(f9361,plain,
( ~ sQ123_spl
| ~ sQ124_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9360,f322]) ).
fof(f9362,plain,
( ~ sQ123_spl
| ~ sQ124_spl ),
inference(contradiction_clause,[status(thm)],[f9361]) ).
fof(f9427,plain,
( ~ sQ38_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f6745,f1533,f1517]) ).
fof(f9448,plain,
( ~ sQ47_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f4561,f1706,f1546]) ).
fof(f9449,plain,
( ~ sQ47_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f8154,f1530,f1546]) ).
fof(f9459,plain,
( ~ sQ127_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f3150,f1760,f1802]) ).
fof(f9460,plain,
( ~ sQ127_spl
| sQ74_spl ),
inference(split_clause,[status(thm)],[f3151,f1632,f1802]) ).
fof(f9461,plain,
( ~ sQ127_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f3152,f1677,f1802]) ).
fof(f9462,plain,
( ~ sQ127_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f3153,f1613,f1802]) ).
fof(f9463,plain,
( ~ sQ127_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f3154,f1594,f1802]) ).
fof(f9465,plain,
( ~ sQ127_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f3156,f1511,f1802]) ).
fof(f9466,plain,
( ~ sQ127_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f3157,f1575,f1802]) ).
fof(f9467,plain,
( ~ sQ127_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f3158,f1428,f1802]) ).
fof(f9468,plain,
( ~ sQ127_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f3159,f1556,f1802]) ).
fof(f9492,plain,
( ~ sQ42_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f4287,f1610,f1530]) ).
fof(f9494,plain,
( ~ sQ98_spl
| op(e3,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f1710,f302]) ).
fof(f9508,plain,
( ~ sQ102_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f9281,f1738,f1722]) ).
fof(f9524,plain,
( ~ sQ60_spl
| e0 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f1589,f240]) ).
fof(f9575,plain,
( sQ146_spl
| ~ sQ30_spl
| e3 != op(op(e1,e1),e0) ),
inference(backward_demodulation,[status(thm)],[f1493,f1969]) ).
fof(f9591,plain,
( sQ187_spl
| ~ sQ30_spl
| ~ sQ8_spl
| ~ sQ151_spl
| e4 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f5718,f7917]) ).
fof(f9634,plain,
( sQ159_spl
| ~ sQ60_spl
| e1 != op(op(e0,e2),op(op(e2,e2),e2)) ),
inference(forward_demodulation,[status(thm)],[f1589,f2025]) ).
fof(f9683,plain,
( ~ sQ24_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f3228,f1456,f1472]) ).
fof(f9685,plain,
( ~ sQ24_spl
| ~ sQ74_spl ),
inference(split_clause,[status(thm)],[f4720,f1632,f1472]) ).
fof(f9700,plain,
( ~ sQ43_spl
| ~ sQ42_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f1531,f1534]) ).
fof(f9701,plain,
( ~ sQ43_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9700,f320]) ).
fof(f9702,plain,
( ~ sQ43_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f9701]) ).
fof(f9722,plain,
( sQ187_spl
| ~ sQ34_spl
| e4 != op(op(e4,e1),op(e4,e1)) ),
inference(backward_demodulation,[status(thm)],[f1505,f7318]) ).
fof(f9728,plain,
( ~ sQ34_spl
| e4 != op(e4,e1) ),
inference(backward_demodulation,[status(thm)],[f1505,f229]) ).
fof(f9736,plain,
( ~ sQ34_spl
| op(e1,e0) != e4 ),
inference(backward_demodulation,[status(thm)],[f1505,f273]) ).
fof(f9739,plain,
( ~ sQ34_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f6611,f1584,f1504]) ).
fof(f9743,plain,
( sQ152_spl
| ~ sQ34_spl
| e2 != op(e4,e4) ),
inference(forward_demodulation,[status(thm)],[f1505,f7322]) ).
fof(f9744,plain,
( sQ152_spl
| ~ sQ34_spl
| ~ sQ122_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f1787,f9743]) ).
fof(f9745,plain,
( sQ152_spl
| ~ sQ34_spl
| ~ sQ122_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9744]) ).
fof(f9746,plain,
( sQ152_spl
| ~ sQ34_spl
| ~ sQ122_spl ),
inference(contradiction_clause,[status(thm)],[f9745]) ).
fof(f9747,plain,
( sQ184_spl
| ~ sQ132_spl
| e3 != op(op(op(e2,e2),e2),e1) ),
inference(backward_demodulation,[status(thm)],[f1919,f2150]) ).
fof(f9749,plain,
( sQ188_spl
| ~ sQ132_spl
| e4 != op(op(op(e2,e2),e2),e1) ),
inference(backward_demodulation,[status(thm)],[f1919,f2186]) ).
fof(f9750,plain,
( sQ131_spl
| ~ sQ132_spl
| e0 != op(e1,op(op(e2,e2),e2)) ),
inference(forward_demodulation,[status(thm)],[f1919,f1917]) ).
fof(f9751,plain,
( sQ131_spl
| ~ sQ132_spl
| e0 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f1919,f9750]) ).
fof(f9752,plain,
( ~ sQ114_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f6654,f1520,f1760]) ).
fof(f9757,plain,
( ~ sQ114_spl
| op(e4,e0) != e4 ),
inference(backward_demodulation,[status(thm)],[f1761,f304]) ).
fof(f9758,plain,
( ~ sQ114_spl
| op(e2,e2) != e4 ),
inference(backward_demodulation,[status(thm)],[f1761,f241]) ).
fof(f9769,plain,
( sQ166_spl
| ~ sQ4_spl
| e2 != op(e4,e0) ),
inference(backward_demodulation,[status(thm)],[f1409,f2052]) ).
fof(f9773,plain,
( ~ sQ4_spl
| e4 != op(e0,e4) ),
inference(backward_demodulation,[status(thm)],[f1409,f266]) ).
fof(f9775,plain,
( ~ sQ4_spl
| e4 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f1409,f213]) ).
fof(f9777,plain,
( ~ sQ4_spl
| e4 != op(e4,e0) ),
inference(backward_demodulation,[status(thm)],[f1409,f216]) ).
fof(f9781,plain,
( ~ sQ28_spl
| e3 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f1486,f274]) ).
fof(f9818,plain,
( ~ sQ1_spl
| ~ sQ4_spl
| e4 = e1 ),
inference(forward_demodulation,[status(thm)],[f1409,f1400]) ).
fof(f9819,plain,
( ~ sQ1_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9818,f319]) ).
fof(f9820,plain,
( ~ sQ1_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f9819]) ).
fof(f9839,plain,
( ~ sQ82_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f4263,f1706,f1658]) ).
fof(f9853,plain,
( ~ sQ126_spl
| op(e4,e0) != e4 ),
inference(backward_demodulation,[status(thm)],[f4773,f303]) ).
fof(f9857,plain,
( ~ sQ126_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f4774,f1552,f1799]) ).
fof(f9858,plain,
( ~ sQ126_spl
| sQ83_spl ),
inference(split_clause,[status(thm)],[f4775,f1661,f1799]) ).
fof(f9859,plain,
( ~ sQ126_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f4777,f1578,f1799]) ).
fof(f9861,plain,
( ~ sQ126_spl
| op(e0,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f4778,f233]) ).
fof(f9867,plain,
( ~ sQ126_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f4779,f1495,f1799]) ).
fof(f9869,plain,
( ~ sQ126_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f4781,f1412,f1799]) ).
fof(f9875,plain,
( ~ sQ126_spl
| op(e1,e4) = e4 ),
inference(backward_demodulation,[status(thm)],[f1800,f160]) ).
fof(f9882,plain,
( ~ sQ126_spl
| op(e0,e1) = e0 ),
inference(backward_demodulation,[status(thm)],[f1800,f153]) ).
fof(f9885,plain,
( ~ sQ126_spl
| e0 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f4782,f218]) ).
fof(f9887,plain,
( ~ sQ86_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f5371,f1431,f1671]) ).
fof(f9889,plain,
( ~ sQ86_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f5375,f1511,f1671]) ).
fof(f9896,plain,
( ~ sQ86_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f4808,f1687,f1671]) ).
fof(f9907,plain,
( ~ sQ90_spl
| op(e0,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f1685,f245]) ).
fof(f9923,plain,
( ~ sQ34_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f9728,f1744,f1504]) ).
fof(f9925,plain,
( ~ sQ34_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f9736,f1488,f1504]) ).
fof(f9946,plain,
( ~ sQ2_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f4957,f1418,f1402]) ).
fof(f9948,plain,
( sQ172_spl
| ~ sQ2_spl
| e2 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f1403,f4962]) ).
fof(f9950,plain,
( ~ sQ64_spl
| ~ sQ74_spl ),
inference(split_clause,[status(thm)],[f6001,f1632,f1600]) ).
fof(f9960,plain,
( sQ188_spl
| ~ sQ64_spl
| e4 != op(op(e4,e2),op(e4,e2)) ),
inference(forward_demodulation,[status(thm)],[f1601,f6000]) ).
fof(f9962,plain,
( sQ134_spl
| ~ sQ64_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f6032,f1789,f1600,f1925]) ).
fof(f9978,plain,
( ~ sQ2_spl
| e2 != op(e4,e0) ),
inference(forward_demodulation,[status(thm)],[f1403,f216]) ).
fof(f10017,plain,
( sQ185_spl
| ~ sQ149_spl
| e3 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f1980,f8615]) ).
fof(f10021,plain,
( sQ139_spl
| ~ sQ149_spl
| e0 != op(op(op(e4,e4),e4),e2) ),
inference(backward_demodulation,[status(thm)],[f1980,f1945]) ).
fof(f10042,plain,
( ~ sQ57_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f3903,f1594,f1578]) ).
fof(f10044,plain,
( ~ sQ57_spl
| e2 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f1579,f230]) ).
fof(f10046,plain,
( ~ sQ57_spl
| e2 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f1579,f288]) ).
fof(f10050,plain,
( ~ sQ57_spl
| e2 != op(e2,e4) ),
inference(backward_demodulation,[status(thm)],[f1579,f289]) ).
fof(f10073,plain,
( ~ sQ83_spl
| e3 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f1662,f298]) ).
fof(f10074,plain,
( ~ sQ83_spl
| e3 != op(e3,e4) ),
inference(backward_demodulation,[status(thm)],[f1662,f299]) ).
fof(f10178,plain,
( sQ135_spl
| ~ sQ91_spl
| e0 != op(op(e1,e3),op(e1,e3)) ),
inference(backward_demodulation,[status(thm)],[f1688,f9258]) ).
fof(f10182,plain,
( sQ158_spl
| ~ sQ91_spl
| e4 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f1688,f2020]) ).
fof(f10278,plain,
( ~ sQ22_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f6540,f1450,f1466]) ).
fof(f10285,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| e4 = e3 ),
inference(forward_demodulation,[status(thm)],[f1441,f1438]) ).
fof(f10286,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10285,f322]) ).
fof(f10287,plain,
( ~ sQ13_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f10286]) ).
fof(f10294,plain,
( ~ sQ126_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f9853,f1728,f1799]) ).
fof(f10295,plain,
( ~ sQ126_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f4773,f1744,f1799]) ).
fof(f10296,plain,
( ~ sQ126_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f4776,f1533,f1799]) ).
fof(f10297,plain,
( ~ sQ126_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f9861,f1434,f1799]) ).
fof(f10299,plain,
( ~ sQ126_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f4778,f1514,f1799]) ).
fof(f10301,plain,
( ~ sQ126_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f4782,f1476,f1799]) ).
fof(f10316,plain,
( ~ sQ126_spl
| e0 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f9882,f268]) ).
fof(f10332,plain,
( ~ sQ126_spl
| ~ sQ75_spl ),
inference(split_clause,[status(thm)],[f9885,f1636,f1799]) ).
fof(f10370,plain,
( ~ sQ49_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f3240,f1472,f1552]) ).
fof(f10372,plain,
( ~ sQ57_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f10044,f1658,f1578]) ).
fof(f10373,plain,
( ~ sQ57_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f10046,f1610,f1578]) ).
fof(f10375,plain,
( ~ sQ57_spl
| ~ sQ72_spl ),
inference(split_clause,[status(thm)],[f10050,f1626,f1578]) ).
fof(f10379,plain,
( ~ sQ83_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f10074,f1709,f1661]) ).
fof(f10401,plain,
( sQ159_spl
| ~ sQ60_spl
| e1 != op(op(e0,e2),op(e0,e2)) ),
inference(forward_demodulation,[status(thm)],[f1589,f9634]) ).
fof(f10425,plain,
( ~ sQ64_spl
| ~ sQ60_spl
| e0 = e4 ),
inference(forward_demodulation,[status(thm)],[f1589,f1601]) ).
fof(f10426,plain,
( ~ sQ64_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10425,f316]) ).
fof(f10427,plain,
( ~ sQ64_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f10426]) ).
fof(f10434,plain,
( ~ sQ18_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f8134,f1533,f1453]) ).
fof(f10451,plain,
( sQ186_spl
| ~ sQ1_spl
| e3 != op(op(e1,e0),op(op(e0,e0),e0)) ),
inference(forward_demodulation,[status(thm)],[f1400,f2160]) ).
fof(f10452,plain,
( sQ186_spl
| ~ sQ1_spl
| e3 != op(op(e1,e0),op(e1,e0)) ),
inference(forward_demodulation,[status(thm)],[f1400,f10451]) ).
fof(f10461,plain,
( ~ sQ53_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f7395,f1597,f1565]) ).
fof(f10488,plain,
( ~ sQ108_spl
| ~ sQ83_spl ),
inference(split_clause,[status(thm)],[f5463,f1661,f1741]) ).
fof(f10494,plain,
( ~ sQ83_spl
| op(e3,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f1662,f293]) ).
fof(f10505,plain,
( ~ sQ121_spl
| op(e1,e4) != e1 ),
inference(backward_demodulation,[status(thm)],[f1784,f259]) ).
fof(f10509,plain,
( sQ149_spl
| ~ sQ121_spl
| e2 != op(e1,e4) ),
inference(backward_demodulation,[status(thm)],[f1784,f1981]) ).
fof(f10552,plain,
( ~ sQ25_spl
| e0 != op(e4,e0) ),
inference(backward_demodulation,[status(thm)],[f1477,f219]) ).
fof(f10555,plain,
( ~ sQ25_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f3227,f1396,f1476]) ).
fof(f10558,plain,
( ~ sQ66_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f7714,f1687,f1607]) ).
fof(f10572,plain,
( ~ sQ70_spl
| e0 != op(e3,e4) ),
inference(backward_demodulation,[status(thm)],[f1621,f260]) ).
fof(f10596,plain,
( sQ143_spl
| ~ sQ32_spl
| ~ sQ151_spl
| e0 != op(op(e2,e1),e3) ),
inference(backward_demodulation,[status(thm)],[f8913,f3740]) ).
fof(f10612,plain,
( sQ135_spl
| ~ sQ91_spl
| ~ sQ44_spl
| e0 != op(e4,op(e1,e3)) ),
inference(forward_demodulation,[status(thm)],[f1537,f10178]) ).
fof(f10613,plain,
( sQ135_spl
| ~ sQ91_spl
| ~ sQ44_spl
| e0 != op(e4,e4) ),
inference(forward_demodulation,[status(thm)],[f1537,f10612]) ).
fof(f10621,plain,
( sQ158_spl
| ~ sQ91_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f10182,f1536,f1687,f2018]) ).
fof(f10648,plain,
( ~ sQ34_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f6492,f1536,f1504]) ).
fof(f10658,plain,
( ~ sQ34_spl
| ~ sQ32_spl
| e2 = e4 ),
inference(forward_demodulation,[status(thm)],[f1499,f1505]) ).
fof(f10659,plain,
( ~ sQ34_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10658,f321]) ).
fof(f10660,plain,
( ~ sQ34_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f10659]) ).
fof(f10702,plain,
( ~ sQ125_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f4546,f1396,f1796]) ).
fof(f10708,plain,
( ~ sQ125_spl
| sQ78_spl ),
inference(split_clause,[status(thm)],[f4553,f1645,f1796]) ).
fof(f10724,plain,
( ~ sQ125_spl
| op(e0,e3) = e3 ),
inference(backward_demodulation,[status(thm)],[f1797,f158]) ).
fof(f10726,plain,
( ~ sQ125_spl
| op(e0,e2) = e2 ),
inference(backward_demodulation,[status(thm)],[f1797,f156]) ).
fof(f10763,plain,
( ~ sQ117_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f8936,f1530,f1770]) ).
fof(f10764,plain,
( ~ sQ28_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f9781,f1517,f1485]) ).
fof(f10780,plain,
( ~ sQ28_spl
| op(e0,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f1486,f213]) ).
fof(f10781,plain,
( ~ sQ129_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f4979,f1626,f1808]) ).
fof(f10782,plain,
( ~ sQ129_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f4980,f1773,f1808]) ).
fof(f10783,plain,
( ~ sQ129_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f4981,f1709,f1808]) ).
fof(f10800,plain,
( ~ sQ129_spl
| op(e4,e0) != e4 ),
inference(backward_demodulation,[status(thm)],[f4982,f306]) ).
fof(f10802,plain,
( ~ sQ129_spl
| op(e0,e4) != e4 ),
inference(backward_demodulation,[status(thm)],[f4982,f256]) ).
fof(f10804,plain,
( ~ sQ129_spl
| op(e3,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f4976,f232]) ).
fof(f10808,plain,
( ~ sQ129_spl
| op(e2,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f4976,f231]) ).
fof(f10811,plain,
( ~ sQ129_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f4978,f1754,f1808]) ).
fof(f10851,plain,
( sQ187_spl
| ~ sQ34_spl
| ~ sQ129_spl
| e4 != op(e1,op(e4,e1)) ),
inference(forward_demodulation,[status(thm)],[f4976,f9722]) ).
fof(f10852,plain,
( sQ187_spl
| ~ sQ34_spl
| ~ sQ129_spl
| e4 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f4976,f10851]) ).
fof(f10855,plain,
( ~ sQ34_spl
| sQ187_spl
| ~ sQ129_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1505,f10852]) ).
fof(f10856,plain,
( ~ sQ34_spl
| sQ187_spl
| ~ sQ129_spl ),
inference(contradiction_clause,[status(thm)],[f10855]) ).
fof(f10887,plain,
( ~ sQ45_spl
| op(e1,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f1541,f279]) ).
fof(f10953,plain,
( ~ sQ90_spl
| ~ sQ91_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f1688,f1685]) ).
fof(f10954,plain,
( ~ sQ90_spl
| ~ sQ91_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10953,f313]) ).
fof(f10955,plain,
( ~ sQ90_spl
| ~ sQ91_spl ),
inference(contradiction_clause,[status(thm)],[f10954]) ).
fof(f10957,plain,
( sQ141_spl
| ~ sQ123_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f3477,f1693,f1789,f1949]) ).
fof(f10962,plain,
( sQ185_spl
| ~ sQ123_spl
| e3 != op(op(op(e4,e4),e4),op(e3,e4)) ),
inference(backward_demodulation,[status(thm)],[f1790,f2155]) ).
fof(f10970,plain,
( ~ sQ123_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f6486,f1549,f1789]) ).
fof(f10976,plain,
( ~ sQ83_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f10073,f1693,f1661]) ).
fof(f10977,plain,
( sQ185_spl
| ~ sQ149_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f10017,f1597,f1979,f2153]) ).
fof(f10980,plain,
( sQ139_spl
| ~ sQ149_spl
| ~ sQ123_spl
| e0 != op(op(e3,e4),e2) ),
inference(forward_demodulation,[status(thm)],[f1790,f10021]) ).
fof(f10982,plain,
( sQ139_spl
| ~ sQ149_spl
| ~ sQ123_spl
| e0 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f10989,f10980]) ).
fof(f10989,plain,
( ~ sQ149_spl
| ~ sQ123_spl
| e2 = op(e3,e4) ),
inference(forward_demodulation,[status(thm)],[f1790,f1980]) ).
fof(f11010,plain,
( ~ sQ29_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f5026,f1568,f1488]) ).
fof(f11011,plain,
( ~ sQ29_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f5027,f1536,f1488]) ).
fof(f11016,plain,
( ~ sQ29_spl
| e4 != op(e4,e0) ),
inference(backward_demodulation,[status(thm)],[f1489,f219]) ).
fof(f11034,plain,
( ~ sQ119_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f8162,f1744,f1776]) ).
fof(f11036,plain,
( ~ sQ119_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f8165,f1536,f1776]) ).
fof(f11038,plain,
( ~ sQ119_spl
| op(e2,e3) != e4 ),
inference(backward_demodulation,[status(thm)],[f1777,f251]) ).
fof(f11039,plain,
( ~ sQ119_spl
| op(e4,e0) != e4 ),
inference(backward_demodulation,[status(thm)],[f1777,f305]) ).
fof(f11079,plain,
( sQ168_spl
| ~ sQ3_spl
| e3 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f1406,f3810]) ).
fof(f11081,plain,
( sQ186_spl
| ~ sQ3_spl
| e3 != op(op(e3,e0),op(e3,e0)) ),
inference(backward_demodulation,[status(thm)],[f1406,f3813]) ).
fof(f11082,plain,
( ~ sQ3_spl
| e3 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f1406,f264]) ).
fof(f11092,plain,
( sQ166_spl
| ~ sQ3_spl
| e2 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f1406,f2052]) ).
fof(f11128,plain,
( ~ sQ149_spl
| ~ sQ123_spl
| op(e3,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f10989,f301]) ).
fof(f11139,plain,
( ~ sQ87_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f6595,f1706,f1674]) ).
fof(f11140,plain,
( ~ sQ87_spl
| ~ sQ149_spl
| ~ sQ123_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1675,f11128]) ).
fof(f11141,plain,
( ~ sQ87_spl
| ~ sQ149_spl
| ~ sQ123_spl ),
inference(contradiction_clause,[status(thm)],[f11140]) ).
fof(f11142,plain,
( ~ sQ29_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f11016,f1728,f1488]) ).
fof(f11143,plain,
( ~ sQ119_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f11038,f1616,f1776]) ).
fof(f11144,plain,
( ~ sQ119_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f11039,f1728,f1776]) ).
fof(f11199,plain,
( ~ sQ125_spl
| e3 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f5073,f243]) ).
fof(f11200,plain,
( ~ sQ125_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f4549,f1479,f1796]) ).
fof(f11202,plain,
( ~ sQ125_spl
| ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4555,f5023]) ).
fof(f11203,plain,
( ~ sQ125_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f11202]) ).
fof(f11216,plain,
( sQ148_spl
| ~ sQ90_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f6406,f1399,f1684,f1975]) ).
fof(f11222,plain,
( sQ161_spl
| ~ sQ90_spl
| ~ sQ158_spl
| e1 != op(op(e0,e3),e4) ),
inference(backward_demodulation,[status(thm)],[f11223,f6403]) ).
fof(f11223,plain,
( ~ sQ158_spl
| ~ sQ90_spl
| e4 = op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f1685,f2019]) ).
fof(f11230,plain,
( ~ sQ84_spl
| op(e0,e1) != e4 ),
inference(backward_demodulation,[status(thm)],[f1665,f225]) ).
fof(f11245,plain,
( ~ sQ96_spl
| op(e2,e4) != e1 ),
inference(backward_demodulation,[status(thm)],[f1704,f260]) ).
fof(f11264,plain,
( ~ sQ88_spl
| ~ sQ83_spl ),
inference(split_clause,[status(thm)],[f6309,f1661,f1677]) ).
fof(f11270,plain,
( sQ146_spl
| ~ sQ30_spl
| e3 != op(e0,e0) ),
inference(backward_demodulation,[status(thm)],[f1493,f9575]) ).
fof(f11289,plain,
( sQ156_spl
| ~ sQ30_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f5737,f1424,f1492,f2008]) ).
fof(f11304,plain,
( ~ sQ23_spl
| op(e0,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f1470,f271]) ).
fof(f11310,plain,
( ~ sQ23_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f3782,f1789,f1469]) ).
fof(f11312,plain,
( ~ sQ114_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f9757,f1728,f1760]) ).
fof(f11313,plain,
( ~ sQ114_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f9758,f1600,f1760]) ).
fof(f11329,plain,
( ~ sQ70_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f10572,f1700,f1620]) ).
fof(f11350,plain,
( ~ sQ106_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f3781,f1415,f1735]) ).
fof(f11355,plain,
( ~ sQ84_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f11230,f1424,f1664]) ).
fof(f11365,plain,
( sQ185_spl
| ~ sQ123_spl
| e3 != op(op(e3,e4),op(e3,e4)) ),
inference(backward_demodulation,[status(thm)],[f1790,f10962]) ).
fof(f11391,plain,
( sQ132_spl
| ~ sQ64_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f5989,f1751,f1600,f1918]) ).
fof(f11393,plain,
( ~ sQ64_spl
| op(e1,e2) != e4 ),
inference(backward_demodulation,[status(thm)],[f1601,f237]) ).
fof(f11403,plain,
( ~ sQ64_spl
| e4 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f1601,f290]) ).
fof(f11410,plain,
( ~ sQ47_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f4563,f1514,f1546]) ).
fof(f11430,plain,
( ~ sQ23_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f11304,f1437,f1469]) ).
fof(f11498,plain,
( ~ sQ155_spl
| ~ sQ120_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f5733,f1437,f1780,f2003]) ).
fof(f11581,plain,
( ~ sQ126_spl
| ~ sQ47_spl
| e2 = e4 ),
inference(forward_demodulation,[status(thm)],[f1547,f9875]) ).
fof(f11582,plain,
( ~ sQ126_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11581,f321]) ).
fof(f11583,plain,
( ~ sQ126_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f11582]) ).
fof(f11612,plain,
( ~ sQ19_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f3398,f1408,f1456]) ).
fof(f11620,plain,
( ~ sQ99_spl
| ~ sQ74_spl ),
inference(split_clause,[status(thm)],[f5287,f1632,f1712]) ).
fof(f11633,plain,
( sQ178_spl
| ~ sQ120_spl
| ~ sQ155_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f5789,f1690,f2003,f1780,f2108]) ).
fof(f11653,plain,
( sQ135_spl
| ~ sQ92_spl
| e0 != op(op(e2,e3),op(e2,e3)) ),
inference(forward_demodulation,[status(thm)],[f1691,f8675]) ).
fof(f11674,plain,
( sQ151_spl
| ~ sQ34_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f7323,f1741,f1504,f1987]) ).
fof(f11682,plain,
( sQ146_spl
| ~ sQ34_spl
| e3 != op(op(e1,e1),e4) ),
inference(backward_demodulation,[status(thm)],[f1505,f1969]) ).
fof(f11687,plain,
( sQ145_spl
| ~ sQ34_spl
| e4 != op(op(e1,e1),e4) ),
inference(backward_demodulation,[status(thm)],[f1505,f1965]) ).
fof(f11695,plain,
( sQ143_spl
| ~ sQ34_spl
| e0 != op(op(op(e1,e1),e1),op(e4,e1)) ),
inference(backward_demodulation,[status(thm)],[f1505,f1959]) ).
fof(f11719,plain,
( sQ166_spl
| ~ sQ4_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f9769,f1722,f1408,f2050]) ).
fof(f11731,plain,
( ~ sQ116_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f8579,f1735,f1767]) ).
fof(f11750,plain,
( sQ143_spl
| ~ sQ32_spl
| ~ sQ151_spl
| e0 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f8913,f10596]) ).
fof(f11778,plain,
( sQ185_spl
| ~ sQ123_spl
| ~ sQ99_spl
| e3 != op(e4,op(e3,e4)) ),
inference(forward_demodulation,[status(thm)],[f1713,f11365]) ).
fof(f11779,plain,
( sQ185_spl
| ~ sQ123_spl
| ~ sQ99_spl
| e3 != op(e4,e4) ),
inference(forward_demodulation,[status(thm)],[f1713,f11778]) ).
fof(f11788,plain,
( ~ sQ123_spl
| sQ185_spl
| ~ sQ99_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1790,f11779]) ).
fof(f11789,plain,
( ~ sQ123_spl
| sQ185_spl
| ~ sQ99_spl ),
inference(contradiction_clause,[status(thm)],[f11788]) ).
fof(f11790,plain,
( sQ150_spl
| ~ sQ123_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f3474,f1687,f1789,f1983]) ).
fof(f11791,plain,
( ~ sQ58_spl
| ~ sQ83_spl ),
inference(split_clause,[status(thm)],[f7695,f1661,f1581]) ).
fof(f11802,plain,
( ~ sQ45_spl
| e0 != op(e2,e4) ),
inference(backward_demodulation,[status(thm)],[f1541,f257]) ).
fof(f11806,plain,
( ~ sQ45_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f10887,f1492,f1540]) ).
fof(f11809,plain,
( ~ sQ58_spl
| e3 != op(e2,e4) ),
inference(forward_demodulation,[status(thm)],[f1582,f289]) ).
fof(f11810,plain,
( ~ sQ58_spl
| e3 != op(e4,e1) ),
inference(forward_demodulation,[status(thm)],[f1582,f231]) ).
fof(f11814,plain,
( ~ sQ58_spl
| e3 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f1582,f288]) ).
fof(f11815,plain,
( ~ sQ60_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f9524,f1668,f1588]) ).
fof(f11838,plain,
( ~ sQ182_spl
| ~ sQ30_spl
| e0 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f5174,f265]) ).
fof(f11892,plain,
( ~ sQ91_spl
| op(e0,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f1688,f245]) ).
fof(f11918,plain,
( sQ139_spl
| ~ sQ149_spl
| ~ sQ123_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f10982,f1588,f1789,f1979,f1943]) ).
fof(f11923,plain,
( ~ sQ58_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f11810,f1741,f1581]) ).
fof(f11924,plain,
( ~ sQ58_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f11809,f1629,f1581]) ).
fof(f11954,plain,
( ~ sQ96_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f4647,f1783,f1703]) ).
fof(f11956,plain,
( sQ149_spl
| ~ sQ121_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f10509,f1546,f1783,f1979]) ).
fof(f11971,plain,
( sQ170_spl
| ~ sQ121_spl
| e0 != op(op(e4,e4),e1) ),
inference(backward_demodulation,[status(thm)],[f1784,f2069]) ).
fof(f11984,plain,
( sQ168_spl
| ~ sQ3_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f11079,f1693,f1405,f2057]) ).
fof(f11985,plain,
( ~ sQ3_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f11082,f1437,f1405]) ).
fof(f12003,plain,
( sQ181_spl
| ~ sQ3_spl
| e1 != op(op(e0,e0),e3) ),
inference(backward_demodulation,[status(thm)],[f1406,f2128]) ).
fof(f12004,plain,
( ~ sQ3_spl
| e3 != op(e0,e4) ),
inference(backward_demodulation,[status(thm)],[f1406,f266]) ).
fof(f12017,plain,
( ~ sQ4_spl
| ~ sQ3_spl
| e3 = e4 ),
inference(forward_demodulation,[status(thm)],[f1406,f1409]) ).
fof(f12018,plain,
( ~ sQ4_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f12017,f322]) ).
fof(f12019,plain,
( ~ sQ4_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f12018]) ).
fof(f12020,plain,
( ~ sQ4_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f9775,f1488,f1408]) ).
fof(f12021,plain,
( ~ sQ11_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f3688,f1415,f1431]) ).
fof(f12024,plain,
( ~ sQ11_spl
| e1 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f1432,f233]) ).
fof(f12042,plain,
( ~ sQ128_spl
| ~ sQ96_spl ),
inference(split_clause,[status(thm)],[f7357,f1703,f1805]) ).
fof(f12043,plain,
( ~ sQ128_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f7360,f1415,f1805]) ).
fof(f12044,plain,
( ~ sQ128_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f5759,f1655,f1805]) ).
fof(f12127,plain,
( ~ sQ75_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f6740,f1652,f1636]) ).
fof(f12154,plain,
( ~ sQ119_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f8161,f1760,f1776]) ).
fof(f12161,plain,
( ~ sQ96_spl
| ~ sQ71_spl ),
inference(split_clause,[status(thm)],[f11245,f1623,f1703]) ).
fof(f12188,plain,
( sQ188_spl
| ~ sQ132_spl
| e4 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f1919,f9749]) ).
fof(f12190,plain,
( sQ184_spl
| ~ sQ132_spl
| e3 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f1919,f9747]) ).
fof(f12195,plain,
( sQ131_spl
| ~ sQ132_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f9751,f1492,f1918,f1915]) ).
fof(f12299,plain,
( ~ sQ64_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f11393,f1520,f1600]) ).
fof(f12300,plain,
( ~ sQ64_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f11403,f1616,f1600]) ).
fof(f12313,plain,
( ~ sQ64_spl
| op(e2,e0) != e4 ),
inference(backward_demodulation,[status(thm)],[f1601,f284]) ).
fof(f12369,plain,
( ~ sQ93_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f3653,f1533,f1693]) ).
fof(f12370,plain,
( ~ sQ93_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f3668,f1645,f1693]) ).
fof(f12776,plain,
( sQ135_spl
| ~ sQ91_spl
| ~ sQ44_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f10613,f1780,f1536,f1687,f1929]) ).
fof(f12828,plain,
( ~ sQ158_spl
| ~ sQ91_spl
| e4 = op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f1688,f2019]) ).
fof(f12861,plain,
( ~ sQ158_spl
| ~ sQ91_spl
| e4 != op(e1,e4) ),
inference(forward_demodulation,[status(thm)],[f12828,f282]) ).
fof(f13100,plain,
( ~ sQ129_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f10800,f1728,f1808]) ).
fof(f13101,plain,
( ~ sQ129_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f10802,f1472,f1808]) ).
fof(f13103,plain,
( ~ sQ129_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f4976,f1735,f1808]) ).
fof(f13119,plain,
( sQ177_spl
| ~ sQ94_spl
| ~ sQ162_spl
| e2 != op(e0,e0) ),
inference(backward_demodulation,[status(thm)],[f5041,f5036]) ).
fof(f13121,plain,
( sQ161_spl
| ~ sQ94_spl
| ~ sQ162_spl
| e1 != op(op(e4,e3),e0) ),
inference(backward_demodulation,[status(thm)],[f5041,f4497]) ).
fof(f13129,plain,
( ~ sQ64_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f12313,f1568,f1600]) ).
fof(f13150,plain,
( sQ143_spl
| ~ sQ34_spl
| e0 != op(op(e4,e1),op(e4,e1)) ),
inference(backward_demodulation,[status(thm)],[f1505,f11695]) ).
fof(f13152,plain,
( sQ145_spl
| ~ sQ34_spl
| e4 != op(e4,e4) ),
inference(backward_demodulation,[status(thm)],[f1505,f11687]) ).
fof(f13154,plain,
( sQ146_spl
| ~ sQ34_spl
| e3 != op(e4,e4) ),
inference(backward_demodulation,[status(thm)],[f1505,f11682]) ).
fof(f13174,plain,
( ~ sQ121_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f10505,f1543,f1783]) ).
fof(f13182,plain,
( sQ170_spl
| ~ sQ121_spl
| e0 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f1784,f11971]) ).
fof(f13206,plain,
( ~ sQ4_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f9777,f1728,f1408]) ).
fof(f13207,plain,
( ~ sQ4_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f9773,f1472,f1408]) ).
fof(f13216,plain,
( ~ sQ104_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f4506,f1568,f1728]) ).
fof(f13220,plain,
( ~ sQ129_spl
| op(e4,e4) = e4 ),
inference(forward_demodulation,[status(thm)],[f1809,f161]) ).
fof(f13221,plain,
( ~ sQ129_spl
| ~ sQ121_spl
| e1 = e4 ),
inference(forward_demodulation,[status(thm)],[f1784,f13220]) ).
fof(f13222,plain,
( ~ sQ129_spl
| ~ sQ121_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f13221,f319]) ).
fof(f13223,plain,
( ~ sQ129_spl
| ~ sQ121_spl ),
inference(contradiction_clause,[status(thm)],[f13222]) ).
fof(f13278,plain,
( ~ sQ91_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f11892,f1447,f1687]) ).
fof(f13291,plain,
( sQ146_spl
| ~ sQ30_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f11270,f1405,f1492,f1967]) ).
fof(f13357,plain,
( ~ sQ17_spl
| op(e0,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f1451,f268]) ).
fof(f13358,plain,
( ~ sQ101_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f4143,f1735,f1719]) ).
fof(f13359,plain,
( ~ sQ101_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f4132,f1559,f1719]) ).
fof(f13381,plain,
( ~ sQ115_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f3913,f1716,f1764]) ).
fof(f13382,plain,
( ~ sQ115_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f3654,f1524,f1764]) ).
fof(f13387,plain,
( ~ sQ129_spl
| op(e4,e0) = e0 ),
inference(backward_demodulation,[status(thm)],[f1809,f152]) ).
fof(f13388,plain,
( ~ sQ129_spl
| op(e0,e4) = e0 ),
inference(backward_demodulation,[status(thm)],[f1809,f153]) ).
fof(f13389,plain,
( ~ sQ129_spl
| op(e4,e1) = e1 ),
inference(backward_demodulation,[status(thm)],[f1809,f154]) ).
fof(f13390,plain,
( ~ sQ129_spl
| op(e1,e4) = e1 ),
inference(backward_demodulation,[status(thm)],[f1809,f155]) ).
fof(f13391,plain,
( ~ sQ129_spl
| op(e4,e2) = e2 ),
inference(backward_demodulation,[status(thm)],[f1809,f156]) ).
fof(f13393,plain,
( ~ sQ129_spl
| op(e4,e3) = e3 ),
inference(backward_demodulation,[status(thm)],[f1809,f158]) ).
fof(f13396,plain,
( ~ sQ129_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f10804,f1655,f1808]) ).
fof(f13441,plain,
( ~ sQ64_spl
| op(e2,e1) != e4 ),
inference(backward_demodulation,[status(thm)],[f1601,f287]) ).
fof(f13448,plain,
( sQ133_spl
| ~ sQ64_spl
| e4 != op(op(e2,e2),e4) ),
inference(backward_demodulation,[status(thm)],[f1601,f1923]) ).
fof(f13469,plain,
( sQ138_spl
| ~ sQ94_spl
| e2 != op(op(e3,e3),e4) ),
inference(backward_demodulation,[status(thm)],[f1697,f1941]) ).
fof(f13498,plain,
( sQ145_spl
| ~ sQ34_spl
| ~ sQ124_spl ),
inference(split_clause,[status(thm)],[f13152,f1792,f1504,f1963]) ).
fof(f13512,plain,
( sQ175_spl
| ~ sQ34_spl
| e2 != op(op(op(e1,e1),e1),op(e4,e1)) ),
inference(backward_demodulation,[status(thm)],[f1505,f2097]) ).
fof(f13539,plain,
( ~ sQ28_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f10780,f1405,f1485]) ).
fof(f13543,plain,
( ~ sQ55_spl
| op(e0,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f1573,f224]) ).
fof(f13550,plain,
( ~ sQ81_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f8943,f1639,f1655]) ).
fof(f13553,plain,
( ~ sQ98_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f9494,f1693,f1709]) ).
fof(f13563,plain,
( ~ sQ124_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f9298,f1776,f1792]) ).
fof(f13564,plain,
( ~ sQ124_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f9303,f1552,f1792]) ).
fof(f13624,plain,
( sQ187_spl
| ~ sQ32_spl
| ~ sQ55_spl
| e4 != op(e0,op(e2,e1)) ),
inference(forward_demodulation,[status(thm)],[f1573,f5432]) ).
fof(f13625,plain,
( sQ187_spl
| ~ sQ32_spl
| ~ sQ55_spl
| e4 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f1573,f13624]) ).
fof(f13641,plain,
( sQ183_spl
| ~ sQ32_spl
| ~ sQ55_spl
| e3 != op(e0,op(e2,e1)) ),
inference(forward_demodulation,[status(thm)],[f1573,f5431]) ).
fof(f13642,plain,
( sQ183_spl
| ~ sQ32_spl
| ~ sQ55_spl
| e3 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f1573,f13641]) ).
fof(f13713,plain,
( ~ sQ3_spl
| sQ183_spl
| ~ sQ32_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1406,f13642]) ).
fof(f13714,plain,
( ~ sQ3_spl
| sQ183_spl
| ~ sQ32_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f13713]) ).
fof(f13731,plain,
( ~ sQ111_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f8502,f1671,f1751]) ).
fof(f13736,plain,
( ~ sQ41_spl
| op(e1,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f1528,f280]) ).
fof(f13740,plain,
( ~ sQ41_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f7406,f1479,f1527]) ).
fof(f13746,plain,
( ~ sQ15_spl
| e0 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f1445,f244]) ).
fof(f13792,plain,
( sQ144_spl
| ~ sQ30_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f4601,f1418,f1492,f1960]) ).
fof(f13808,plain,
( ~ sQ182_spl
| ~ sQ30_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f11838,f1444,f1492,f2131]) ).
fof(f13887,plain,
( sQ145_spl
| ~ sQ30_spl
| e4 != op(e0,op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f1493,f1965]) ).
fof(f13888,plain,
( sQ145_spl
| ~ sQ30_spl
| e4 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f1493,f13887]) ).
fof(f13945,plain,
( sQ189_spl
| ~ sQ90_spl
| e4 != op(op(op(e3,e3),e3),op(e0,e3)) ),
inference(backward_demodulation,[status(thm)],[f1685,f2191]) ).
fof(f13958,plain,
( ~ sQ90_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f9907,f1444,f1684]) ).
fof(f13984,plain,
( ~ sQ44_spl
| ~ sQ41_spl
| e1 = e4 ),
inference(forward_demodulation,[status(thm)],[f1528,f1537]) ).
fof(f13985,plain,
( ~ sQ44_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f13984,f319]) ).
fof(f13986,plain,
( ~ sQ44_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f13985]) ).
fof(f14074,plain,
( sQ138_spl
| ~ sQ94_spl
| e2 != op(e4,e4) ),
inference(backward_demodulation,[status(thm)],[f1697,f13469]) ).
fof(f14081,plain,
( sQ189_spl
| ~ sQ94_spl
| e4 != op(op(op(e3,e3),e3),op(e4,e3)) ),
inference(backward_demodulation,[status(thm)],[f1697,f2191]) ).
fof(f14088,plain,
( sQ148_spl
| ~ sQ94_spl
| e1 != op(op(e3,e3),e4) ),
inference(backward_demodulation,[status(thm)],[f1697,f1977]) ).
fof(f14133,plain,
( ~ sQ2_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f9978,f1722,f1402]) ).
fof(f14134,plain,
( sQ172_spl
| ~ sQ2_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f9948,f1594,f1402,f2075]) ).
fof(f14260,plain,
( ~ sQ102_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f5357,f1770,f1722]) ).
fof(f14287,plain,
( ~ sQ40_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f7702,f1540,f1524]) ).
fof(f14298,plain,
( ~ sQ28_spl
| ~ sQ29_spl
| e4 = e3 ),
inference(forward_demodulation,[status(thm)],[f1489,f1486]) ).
fof(f14299,plain,
( ~ sQ28_spl
| ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f14298,f322]) ).
fof(f14300,plain,
( ~ sQ28_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f14299]) ).
fof(f14305,plain,
( ~ sQ76_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f3390,f1687,f1639]) ).
fof(f14331,plain,
( ~ sQ158_spl
| ~ sQ91_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f12861,f1552,f1687,f2018]) ).
fof(f14411,plain,
( ~ sQ15_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f13746,f1604,f1444]) ).
fof(f14418,plain,
( ~ sQ49_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f3247,f1712,f1552]) ).
fof(f14421,plain,
( ~ sQ49_spl
| op(e1,e0) != e4 ),
inference(backward_demodulation,[status(thm)],[f1553,f276]) ).
fof(f14429,plain,
( ~ sQ64_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f13441,f1584,f1600]) ).
fof(f14431,plain,
( sQ133_spl
| ~ sQ64_spl
| e4 != op(e4,e4) ),
inference(backward_demodulation,[status(thm)],[f1601,f13448]) ).
fof(f14465,plain,
( sQ145_spl
| ~ sQ33_spl
| e4 != op(op(e1,e1),e3) ),
inference(backward_demodulation,[status(thm)],[f1502,f1965]) ).
fof(f14478,plain,
( sQ146_spl
| ~ sQ33_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f7090,f1693,f1501,f1967]) ).
fof(f14504,plain,
( sQ168_spl
| ~ sQ4_spl
| e3 != op(op(e0,e0),e4) ),
inference(backward_demodulation,[status(thm)],[f1409,f2059]) ).
fof(f14505,plain,
( sQ180_spl
| ~ sQ4_spl
| e1 != op(e4,e0) ),
inference(backward_demodulation,[status(thm)],[f1409,f2118]) ).
fof(f14516,plain,
( sQ190_spl
| ~ sQ4_spl
| e4 != op(op(op(e0,e0),e0),op(e4,e0)) ),
inference(backward_demodulation,[status(thm)],[f1409,f2196]) ).
fof(f14562,plain,
( ~ sQ128_spl
| op(e1,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f7380,f280]) ).
fof(f14601,plain,
( ~ sQ128_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f7368,f1552,f1805]) ).
fof(f14636,plain,
( ~ sQ35_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f5855,f1540,f1508]) ).
fof(f14671,plain,
( ~ sQ87_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f5937,f1594,f1674]) ).
fof(f14673,plain,
( ~ sQ105_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f6565,f1652,f1732]) ).
fof(f14674,plain,
( ~ sQ105_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f8745,f1764,f1732]) ).
fof(f14687,plain,
( ~ sQ45_spl
| ~ sQ70_spl ),
inference(split_clause,[status(thm)],[f11802,f1620,f1540]) ).
fof(f14708,plain,
( sQ138_spl
| ~ sQ94_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f14074,f1786,f1696,f1939]) ).
fof(f14711,plain,
( sQ148_spl
| ~ sQ94_spl
| e1 != op(e4,e4) ),
inference(backward_demodulation,[status(thm)],[f1697,f14088]) ).
fof(f14713,plain,
( sQ189_spl
| ~ sQ94_spl
| e4 != op(op(e4,e3),op(e4,e3)) ),
inference(backward_demodulation,[status(thm)],[f1697,f14081]) ).
fof(f14740,plain,
( sQ177_spl
| ~ sQ94_spl
| ~ sQ162_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f13119,f1402,f2034,f1696,f2103]) ).
fof(f14744,plain,
( sQ177_spl
| ~ sQ94_spl
| ~ sQ116_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f5641,f1498,f1767,f1696,f2103]) ).
fof(f14797,plain,
( ~ sQ68_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f8751,f1533,f1613]) ).
fof(f14821,plain,
( ~ sQ17_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f13357,f1418,f1450]) ).
fof(f14940,plain,
( ~ sQ68_spl
| e3 != op(e4,e3) ),
inference(forward_demodulation,[status(thm)],[f1614,f251]) ).
fof(f15015,plain,
( sQ159_spl
| ~ sQ60_spl
| ~ sQ153_spl
| e1 != op(e3,op(e0,e2)) ),
inference(forward_demodulation,[status(thm)],[f8508,f10401]) ).
fof(f15016,plain,
( sQ159_spl
| ~ sQ60_spl
| ~ sQ153_spl
| e1 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f8508,f15015]) ).
fof(f15017,plain,
( sQ159_spl
| ~ sQ60_spl
| ~ sQ153_spl
| ~ sQ91_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f1688,f15016]) ).
fof(f15018,plain,
( sQ159_spl
| ~ sQ60_spl
| ~ sQ153_spl
| ~ sQ91_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f15017]) ).
fof(f15019,plain,
( sQ159_spl
| ~ sQ60_spl
| ~ sQ153_spl
| ~ sQ91_spl ),
inference(contradiction_clause,[status(thm)],[f15018]) ).
fof(f15161,plain,
( ~ sQ125_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f10724,f1453,f1796]) ).
fof(f15162,plain,
( ~ sQ125_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f10726,f1434,f1796]) ).
fof(f15186,plain,
( ~ sQ125_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f11199,f1533,f1796]) ).
fof(f15187,plain,
( ~ sQ125_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f5082,f1773,f1796]) ).
fof(f15188,plain,
( ~ sQ125_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f5179,f1674,f1796]) ).
fof(f15299,plain,
( ~ sQ59_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f4091,f1616,f1584]) ).
fof(f15313,plain,
( ~ sQ83_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f10494,f1645,f1661]) ).
fof(f15325,plain,
( ~ sQ89_spl
| ~ sQ87_spl
| e2 = e4 ),
inference(forward_demodulation,[status(thm)],[f1675,f1681]) ).
fof(f15326,plain,
( ~ sQ89_spl
| ~ sQ87_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f15325,f321]) ).
fof(f15327,plain,
( ~ sQ89_spl
| ~ sQ87_spl ),
inference(contradiction_clause,[status(thm)],[f15326]) ).
fof(f15483,plain,
( sQ135_spl
| ~ sQ92_spl
| ~ sQ69_spl
| e0 != op(e4,op(e2,e3)) ),
inference(forward_demodulation,[status(thm)],[f1617,f11653]) ).
fof(f15484,plain,
( sQ135_spl
| ~ sQ92_spl
| ~ sQ69_spl
| e0 != op(e4,e4) ),
inference(forward_demodulation,[status(thm)],[f1617,f15483]) ).
fof(f15485,plain,
( sQ135_spl
| ~ sQ92_spl
| ~ sQ69_spl
| ~ sQ120_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f1781,f15484]) ).
fof(f15486,plain,
( sQ135_spl
| ~ sQ92_spl
| ~ sQ69_spl
| ~ sQ120_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f15485]) ).
fof(f15487,plain,
( sQ135_spl
| ~ sQ92_spl
| ~ sQ69_spl
| ~ sQ120_spl ),
inference(contradiction_clause,[status(thm)],[f15486]) ).
fof(f15513,plain,
( sQ145_spl
| ~ sQ30_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f13888,f1408,f1492,f1963]) ).
fof(f15530,plain,
( sQ134_spl
| ~ sQ63_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f5267,f1693,f1597,f1925]) ).
fof(f15538,plain,
( sQ170_spl
| ~ sQ121_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f13182,f1492,f1783,f2067]) ).
fof(f15570,plain,
( sQ190_spl
| ~ sQ4_spl
| e4 != op(op(e4,e0),op(e4,e0)) ),
inference(backward_demodulation,[status(thm)],[f1409,f14516]) ).
fof(f15587,plain,
( ~ sQ4_spl
| e4 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f1409,f215]) ).
fof(f15632,plain,
( ~ sQ128_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f14562,f1511,f1805]) ).
fof(f15739,plain,
( ~ sQ11_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f12024,f1511,f1431]) ).
fof(f15788,plain,
( ~ sQ59_spl
| op(e0,e1) != e4 ),
inference(backward_demodulation,[status(thm)],[f1585,f224]) ).
fof(f15886,plain,
( ~ sQ41_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f13736,f1511,f1527]) ).
fof(f15941,plain,
( ~ sQ67_spl
| ~ sQ72_spl ),
inference(split_clause,[status(thm)],[f5307,f1626,f1610]) ).
fof(f15946,plain,
( ~ sQ51_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f4224,f1639,f1559]) ).
fof(f15949,plain,
( ~ sQ51_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f4277,f1575,f1559]) ).
fof(f15966,plain,
( ~ sQ129_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f10808,f1575,f1808]) ).
fof(f16021,plain,
( sQ189_spl
| ~ sQ94_spl
| ~ sQ129_spl
| e4 != op(e3,op(e4,e3)) ),
inference(forward_demodulation,[status(thm)],[f13393,f14713]) ).
fof(f16022,plain,
( sQ189_spl
| ~ sQ94_spl
| ~ sQ129_spl
| e4 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f13393,f16021]) ).
fof(f16024,plain,
( ~ sQ94_spl
| sQ189_spl
| ~ sQ129_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1697,f16022]) ).
fof(f16025,plain,
( ~ sQ94_spl
| sQ189_spl
| ~ sQ129_spl ),
inference(contradiction_clause,[status(thm)],[f16024]) ).
fof(f16037,plain,
( ~ sQ43_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f4716,f1773,f1533]) ).
fof(f16039,plain,
( ~ sQ55_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f13543,f1412,f1572]) ).
fof(f16059,plain,
( ~ sQ112_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f4886,f1514,f1754]) ).
fof(f16066,plain,
( ~ sQ85_spl
| e0 != op(e3,e4) ),
inference(backward_demodulation,[status(thm)],[f1669,f301]) ).
fof(f16069,plain,
( ~ sQ54_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f5783,f1616,f1568]) ).
fof(f16080,plain,
( ~ sQ54_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f5780,f1408,f1568]) ).
fof(f16113,plain,
( sQ185_spl
| ~ sQ120_spl
| e3 != op(op(op(e4,e4),e4),op(e0,e4)) ),
inference(backward_demodulation,[status(thm)],[f1781,f2155]) ).
fof(f16219,plain,
( sQ173_spl
| ~ sQ61_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f8847,f1492,f1591,f2080]) ).
fof(f16344,plain,
( ~ sQ2_spl
| e2 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f1403,f215]) ).
fof(f16351,plain,
( ~ sQ2_spl
| e2 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f1403,f265]) ).
fof(f16423,plain,
( ~ sQ128_spl
| op(e3,e0) = e0 ),
inference(backward_demodulation,[status(thm)],[f1806,f152]) ).
fof(f16736,plain,
( sQ184_spl
| ~ sQ61_spl
| e3 != op(op(e1,e2),op(e1,e2)) ),
inference(forward_demodulation,[status(thm)],[f1592,f9320]) ).
fof(f16737,plain,
( sQ184_spl
| ~ sQ61_spl
| ~ sQ39_spl
| e3 != op(e4,op(e1,e2)) ),
inference(forward_demodulation,[status(thm)],[f1521,f16736]) ).
fof(f16738,plain,
( sQ184_spl
| ~ sQ61_spl
| ~ sQ39_spl
| e3 != op(e4,e4) ),
inference(forward_demodulation,[status(thm)],[f1521,f16737]) ).
fof(f16739,plain,
( sQ184_spl
| ~ sQ61_spl
| ~ sQ39_spl
| ~ sQ123_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f1790,f16738]) ).
fof(f16740,plain,
( sQ184_spl
| ~ sQ61_spl
| ~ sQ39_spl
| ~ sQ123_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f16739]) ).
fof(f16741,plain,
( sQ184_spl
| ~ sQ61_spl
| ~ sQ39_spl
| ~ sQ123_spl ),
inference(contradiction_clause,[status(thm)],[f16740]) ).
fof(f16745,plain,
( sQ175_spl
| ~ sQ156_spl
| e2 != op(e4,op(op(e1,e1),e1)) ),
inference(forward_demodulation,[status(thm)],[f2009,f2097]) ).
fof(f16746,plain,
( sQ175_spl
| ~ sQ156_spl
| e2 != op(e4,e4) ),
inference(forward_demodulation,[status(thm)],[f2009,f16745]) ).
fof(f16750,plain,
( sQ189_spl
| ~ sQ90_spl
| e4 != op(op(e0,e3),op(e0,e3)) ),
inference(backward_demodulation,[status(thm)],[f1685,f13945]) ).
fof(f16764,plain,
( sQ161_spl
| ~ sQ90_spl
| ~ sQ158_spl
| e1 != op(e4,e4) ),
inference(backward_demodulation,[status(thm)],[f11223,f11222]) ).
fof(f16777,plain,
( ~ sQ122_spl
| sQ175_spl
| ~ sQ156_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1787,f16746]) ).
fof(f16778,plain,
( ~ sQ122_spl
| sQ175_spl
| ~ sQ156_spl ),
inference(contradiction_clause,[status(thm)],[f16777]) ).
fof(f16798,plain,
( sQ182_spl
| ~ sQ33_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f7088,f1684,f1501,f2131]) ).
fof(f16800,plain,
( sQ166_spl
| ~ sQ3_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f11092,f1642,f1405,f2050]) ).
fof(f16803,plain,
( sQ181_spl
| ~ sQ3_spl
| e1 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f1406,f12003]) ).
fof(f16819,plain,
( ~ sQ3_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f12004,f1469,f1405]) ).
fof(f16828,plain,
( ~ sQ158_spl
| ~ sQ90_spl
| e4 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f11223,f243]) ).
fof(f17045,plain,
( ~ sQ16_spl
| ~ sQ158_spl
| ~ sQ90_spl
| e4 = e1 ),
inference(forward_demodulation,[status(thm)],[f11223,f1448]) ).
fof(f17046,plain,
( ~ sQ16_spl
| ~ sQ158_spl
| ~ sQ90_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f17045,f319]) ).
fof(f17047,plain,
( ~ sQ16_spl
| ~ sQ158_spl
| ~ sQ90_spl ),
inference(contradiction_clause,[status(thm)],[f17046]) ).
fof(f17072,plain,
( ~ sQ129_spl
| op(e0,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f13388,f272]) ).
fof(f17157,plain,
( sQ187_spl
| ~ sQ32_spl
| ~ sQ55_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f13625,f1408,f1572,f1498,f2179]) ).
fof(f17190,plain,
( ~ sQ2_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f16344,f1642,f1402]) ).
fof(f17191,plain,
( ~ sQ2_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f16351,f1450,f1402]) ).
fof(f17205,plain,
( sQ190_spl
| ~ sQ4_spl
| ~ sQ129_spl
| e4 != op(e0,op(e4,e0)) ),
inference(forward_demodulation,[status(thm)],[f13387,f15570]) ).
fof(f17206,plain,
( sQ190_spl
| ~ sQ4_spl
| ~ sQ129_spl
| e4 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f13387,f17205]) ).
fof(f17235,plain,
( ~ sQ11_spl
| e1 != op(e0,e4) ),
inference(forward_demodulation,[status(thm)],[f1432,f271]) ).
fof(f17300,plain,
( ~ sQ129_spl
| op(e1,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f13387,f219]) ).
fof(f17313,plain,
( ~ sQ129_spl
| op(e1,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f13390,f282]) ).
fof(f17361,plain,
( ~ sQ85_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f16066,f1700,f1668]) ).
fof(f17415,plain,
( ~ sQ20_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f3949,f1700,f1460]) ).
fof(f17458,plain,
( sQ188_spl
| ~ sQ64_spl
| ~ sQ129_spl
| e4 != op(e2,op(e4,e2)) ),
inference(forward_demodulation,[status(thm)],[f13391,f9960]) ).
fof(f17459,plain,
( sQ188_spl
| ~ sQ64_spl
| ~ sQ129_spl
| e4 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f13391,f17458]) ).
fof(f17461,plain,
( sQ133_spl
| ~ sQ64_spl
| ~ sQ124_spl ),
inference(split_clause,[status(thm)],[f14431,f1792,f1600,f1921]) ).
fof(f17477,plain,
( ~ sQ64_spl
| sQ188_spl
| ~ sQ129_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1601,f17459]) ).
fof(f17478,plain,
( ~ sQ64_spl
| sQ188_spl
| ~ sQ129_spl ),
inference(contradiction_clause,[status(thm)],[f17477]) ).
fof(f17513,plain,
( ~ sQ166_spl
| ~ sQ3_spl
| e2 = op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f1406,f2051]) ).
fof(f17559,plain,
( ~ sQ11_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f17235,f1463,f1431]) ).
fof(f17570,plain,
( sQ185_spl
| ~ sQ120_spl
| e3 != op(op(e0,e4),op(e0,e4)) ),
inference(backward_demodulation,[status(thm)],[f1781,f16113]) ).
fof(f17648,plain,
( ~ sQ128_spl
| ~ sQ166_spl
| ~ sQ3_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f17513,f7383]) ).
fof(f17649,plain,
( ~ sQ128_spl
| ~ sQ166_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f17648,f314]) ).
fof(f17650,plain,
( ~ sQ128_spl
| ~ sQ166_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f17649]) ).
fof(f17941,plain,
( sQ185_spl
| ~ sQ120_spl
| ~ sQ21_spl
| e3 != op(e1,op(e0,e4)) ),
inference(forward_demodulation,[status(thm)],[f1464,f17570]) ).
fof(f17942,plain,
( sQ185_spl
| ~ sQ120_spl
| ~ sQ21_spl
| e3 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f1464,f17941]) ).
fof(f17943,plain,
( sQ185_spl
| ~ sQ120_spl
| ~ sQ21_spl
| ~ sQ33_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f1502,f17942]) ).
fof(f17944,plain,
( sQ185_spl
| ~ sQ120_spl
| ~ sQ21_spl
| ~ sQ33_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f17943]) ).
fof(f17945,plain,
( sQ185_spl
| ~ sQ120_spl
| ~ sQ21_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f17944]) ).
fof(f18040,plain,
( sQ184_spl
| ~ sQ61_spl
| ~ sQ35_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f7417,f1405,f1508,f1591,f2148]) ).
fof(f18090,plain,
( sQ176_spl
| ~ sQ34_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f4430,f1732,f1504,f2098]) ).
fof(f18109,plain,
( sQ186_spl
| ~ sQ3_spl
| ~ sQ128_spl
| e3 != op(e0,op(e3,e0)) ),
inference(forward_demodulation,[status(thm)],[f16423,f11081]) ).
fof(f18110,plain,
( sQ186_spl
| ~ sQ3_spl
| ~ sQ128_spl
| e3 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f16423,f18109]) ).
fof(f18348,plain,
( sQ175_spl
| ~ sQ34_spl
| e2 != op(op(e4,e1),op(e4,e1)) ),
inference(forward_demodulation,[status(thm)],[f1505,f13512]) ).
fof(f18349,plain,
( sQ175_spl
| ~ sQ34_spl
| ~ sQ105_spl
| e2 != op(e0,op(e4,e1)) ),
inference(forward_demodulation,[status(thm)],[f1733,f18348]) ).
fof(f18350,plain,
( sQ175_spl
| ~ sQ34_spl
| ~ sQ105_spl
| e2 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f1733,f18349]) ).
fof(f18351,plain,
( ~ sQ3_spl
| sQ186_spl
| ~ sQ128_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1406,f18110]) ).
fof(f18352,plain,
( ~ sQ3_spl
| sQ186_spl
| ~ sQ128_spl ),
inference(contradiction_clause,[status(thm)],[f18351]) ).
fof(f18371,plain,
( sQ133_spl
| ~ sQ61_spl
| e4 != op(e1,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f1592,f1923]) ).
fof(f18372,plain,
( sQ133_spl
| ~ sQ61_spl
| e4 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f1592,f18371]) ).
fof(f18373,plain,
( sQ133_spl
| ~ sQ61_spl
| ~ sQ34_spl
| e4 != e4 ),
inference(forward_demodulation,[status(thm)],[f1505,f18372]) ).
fof(f18374,plain,
( sQ133_spl
| ~ sQ61_spl
| ~ sQ34_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f18373]) ).
fof(f18375,plain,
( sQ133_spl
| ~ sQ61_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f18374]) ).
fof(f18581,plain,
( ~ sQ55_spl
| e0 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f1573,f288]) ).
fof(f18612,plain,
( ~ sQ151_spl
| ~ sQ34_spl
| e3 = op(e4,e1) ),
inference(forward_demodulation,[status(thm)],[f1505,f1988]) ).
fof(f18616,plain,
( sQ143_spl
| ~ sQ34_spl
| ~ sQ151_spl
| e0 != op(e3,op(e4,e1)) ),
inference(forward_demodulation,[status(thm)],[f18612,f13150]) ).
fof(f18617,plain,
( sQ143_spl
| ~ sQ34_spl
| ~ sQ151_spl
| e0 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f18612,f18616]) ).
fof(f18618,plain,
( sQ143_spl
| ~ sQ34_spl
| ~ sQ151_spl
| ~ sQ90_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f1685,f18617]) ).
fof(f18619,plain,
( sQ143_spl
| ~ sQ34_spl
| ~ sQ151_spl
| ~ sQ90_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f18618]) ).
fof(f18620,plain,
( sQ143_spl
| ~ sQ34_spl
| ~ sQ151_spl
| ~ sQ90_spl ),
inference(contradiction_clause,[status(thm)],[f18619]) ).
fof(f18708,plain,
( sQ137_spl
| ~ sQ90_spl
| e4 != op(e0,op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f1685,f1937]) ).
fof(f18709,plain,
( sQ137_spl
| ~ sQ90_spl
| e4 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f1685,f18708]) ).
fof(f18743,plain,
( sQ143_spl
| ~ sQ32_spl
| ~ sQ151_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f11750,f1684,f1987,f1498,f1957]) ).
fof(f18989,plain,
( sQ145_spl
| ~ sQ33_spl
| e4 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f1502,f14465]) ).
fof(f18990,plain,
( sQ145_spl
| ~ sQ33_spl
| ~ sQ94_spl
| e4 != e4 ),
inference(forward_demodulation,[status(thm)],[f1697,f18989]) ).
fof(f18991,plain,
( sQ145_spl
| ~ sQ33_spl
| ~ sQ94_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f18990]) ).
fof(f18992,plain,
( sQ145_spl
| ~ sQ33_spl
| ~ sQ94_spl ),
inference(contradiction_clause,[status(thm)],[f18991]) ).
fof(f19005,plain,
( ~ sQ59_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f15788,f1424,f1584]) ).
fof(f19055,plain,
( ~ sQ129_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f17300,f1476,f1808]) ).
fof(f19058,plain,
( ~ sQ129_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f17313,f1527,f1808]) ).
fof(f19064,plain,
( sQ190_spl
| ~ sQ129_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f17206,f1408,f1808,f2194]) ).
fof(f19077,plain,
( ~ sQ32_spl
| ~ sQ33_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f1502,f1499]) ).
fof(f19078,plain,
( ~ sQ32_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f19077,f320]) ).
fof(f19079,plain,
( ~ sQ32_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f19078]) ).
fof(f19181,plain,
( ~ sQ129_spl
| op(e1,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f13389,f229]) ).
fof(f19320,plain,
( sQ189_spl
| ~ sQ90_spl
| ~ sQ16_spl
| e4 != op(e1,op(e0,e3)) ),
inference(forward_demodulation,[status(thm)],[f1448,f16750]) ).
fof(f19321,plain,
( sQ189_spl
| ~ sQ90_spl
| ~ sQ16_spl
| e4 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f1448,f19320]) ).
fof(f19413,plain,
( ~ sQ34_spl
| sQ189_spl
| ~ sQ90_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1505,f19321]) ).
fof(f19414,plain,
( ~ sQ34_spl
| sQ189_spl
| ~ sQ90_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f19413]) ).
fof(f19449,plain,
( sQ188_spl
| ~ sQ132_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f12188,f1504,f1918,f2184]) ).
fof(f19457,plain,
( sQ189_spl
| ~ sQ136_spl
| e4 != op(e1,op(op(e3,e3),e3)) ),
inference(forward_demodulation,[status(thm)],[f1933,f2191]) ).
fof(f19458,plain,
( sQ189_spl
| ~ sQ136_spl
| e4 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f1933,f19457]) ).
fof(f19486,plain,
( ~ sQ34_spl
| sQ189_spl
| ~ sQ136_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1505,f19458]) ).
fof(f19487,plain,
( ~ sQ34_spl
| sQ189_spl
| ~ sQ136_spl ),
inference(contradiction_clause,[status(thm)],[f19486]) ).
fof(f19520,plain,
( ~ sQ129_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f17072,f1444,f1808]) ).
fof(f19521,plain,
( ~ sQ20_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f3945,f1444,f1460]) ).
fof(f19544,plain,
( ~ sQ58_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f11814,f1613,f1581]) ).
fof(f19660,plain,
( ~ sQ68_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f14940,f1773,f1613]) ).
fof(f19676,plain,
( ~ sQ106_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f3778,f1575,f1735]) ).
fof(f19750,plain,
( ~ sQ8_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f6469,f1405,f1421]) ).
fof(f19755,plain,
( ~ sQ16_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f4584,f1527,f1447]) ).
fof(f19830,plain,
( ~ sQ128_spl
| ~ sQ118_spl
| e3 = e4 ),
inference(forward_demodulation,[status(thm)],[f1774,f7374]) ).
fof(f19831,plain,
( ~ sQ128_spl
| ~ sQ118_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f19830,f322]) ).
fof(f19832,plain,
( ~ sQ128_spl
| ~ sQ118_spl ),
inference(contradiction_clause,[status(thm)],[f19831]) ).
fof(f19833,plain,
( ~ sQ55_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f18581,f1604,f1572]) ).
fof(f19902,plain,
( ~ sQ129_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f19181,f1495,f1808]) ).
fof(f19931,plain,
( sQ181_spl
| ~ sQ3_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f16803,f1687,f1405,f2126]) ).
fof(f19942,plain,
( ~ sQ65_spl
| ~ sQ70_spl ),
inference(split_clause,[status(thm)],[f7345,f1620,f1604]) ).
fof(f20107,plain,
( sQ148_spl
| ~ sQ94_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f14711,f1783,f1696,f1975]) ).
fof(f20117,plain,
( ~ sQ16_spl
| ~ sQ66_spl ),
inference(split_clause,[status(thm)],[f4661,f1607,f1447]) ).
fof(f20147,plain,
( ~ sQ9_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f3507,f1408,f1424]) ).
fof(f20245,plain,
( sQ137_spl
| ~ sQ90_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f18709,f1408,f1684,f1935]) ).
fof(f20308,plain,
( ~ sQ4_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f15587,f1648,f1408]) ).
fof(f20364,plain,
( sQ146_spl
| ~ sQ34_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f13154,f1789,f1504,f1967]) ).
fof(f20366,plain,
( sQ175_spl
| ~ sQ34_spl
| ~ sQ105_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f18350,f1402,f1732,f1504,f2095]) ).
fof(f20625,plain,
( sQ186_spl
| ~ sQ1_spl
| ~ sQ166_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f7115,f1597,f2050,f1399,f2158]) ).
fof(f20627,plain,
( ~ sQ166_spl
| ~ sQ1_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f6966,f1514,f1399,f2050]) ).
fof(f20632,plain,
( ~ sQ166_spl
| ~ sQ1_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f6212,f1642,f1399,f2050]) ).
fof(f20654,plain,
( sQ161_spl
| ~ sQ94_spl
| ~ sQ162_spl
| e1 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f5041,f13121]) ).
fof(f20655,plain,
( sQ161_spl
| ~ sQ94_spl
| ~ sQ162_spl
| ~ sQ1_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f1400,f20654]) ).
fof(f20656,plain,
( sQ161_spl
| ~ sQ94_spl
| ~ sQ162_spl
| ~ sQ1_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f20655]) ).
fof(f20657,plain,
( sQ161_spl
| ~ sQ94_spl
| ~ sQ162_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f20656]) ).
fof(f20658,plain,
( ~ sQ126_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f10316,f1444,f1799]) ).
fof(f20825,plain,
( ~ sQ49_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f14421,f1488,f1552]) ).
fof(f20833,plain,
( ~ sQ5_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f7171,f1444,f1412]) ).
fof(f20873,plain,
( ~ sQ25_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f10552,f1716,f1476]) ).
fof(f20879,plain,
( sQ190_spl
| ~ sQ166_spl
| e4 != op(e2,op(op(e0,e0),e0)) ),
inference(forward_demodulation,[status(thm)],[f2051,f2196]) ).
fof(f20880,plain,
( sQ190_spl
| ~ sQ166_spl
| e4 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f2051,f20879]) ).
fof(f21018,plain,
( sQ186_spl
| ~ sQ1_spl
| ~ sQ29_spl
| e3 != op(e4,op(e1,e0)) ),
inference(forward_demodulation,[status(thm)],[f1489,f10452]) ).
fof(f21019,plain,
( sQ186_spl
| ~ sQ1_spl
| ~ sQ29_spl
| e3 != op(e4,e4) ),
inference(forward_demodulation,[status(thm)],[f1489,f21018]) ).
fof(f21062,plain,
( ~ sQ123_spl
| sQ186_spl
| ~ sQ1_spl
| ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1790,f21019]) ).
fof(f21063,plain,
( ~ sQ123_spl
| sQ186_spl
| ~ sQ1_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f21062]) ).
fof(f21346,plain,
( sQ180_spl
| ~ sQ4_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f14505,f1719,f1408,f2116]) ).
fof(f21348,plain,
( sQ168_spl
| ~ sQ4_spl
| e3 != op(e4,e4) ),
inference(backward_demodulation,[status(thm)],[f1409,f14504]) ).
fof(f21427,plain,
( sQ184_spl
| ~ sQ132_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f12190,f1501,f1918,f2148]) ).
fof(f21449,plain,
( sQ168_spl
| ~ sQ4_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f21348,f1789,f1408,f2057]) ).
fof(f21460,plain,
( sQ179_spl
| ~ sQ4_spl
| e2 != op(op(e4,e0),op(op(e0,e0),e0)) ),
inference(forward_demodulation,[status(thm)],[f1409,f2115]) ).
fof(f21461,plain,
( sQ179_spl
| ~ sQ4_spl
| ~ sQ101_spl
| e2 != op(e1,op(op(e0,e0),e0)) ),
inference(forward_demodulation,[status(thm)],[f1720,f21460]) ).
fof(f21462,plain,
( sQ179_spl
| ~ sQ4_spl
| ~ sQ101_spl
| e2 != op(e1,op(e4,e0)) ),
inference(forward_demodulation,[status(thm)],[f1409,f21461]) ).
fof(f21463,plain,
( sQ179_spl
| ~ sQ4_spl
| ~ sQ101_spl
| e2 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f1720,f21462]) ).
fof(f21472,plain,
( ~ sQ32_spl
| sQ179_spl
| ~ sQ4_spl
| ~ sQ101_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1499,f21463]) ).
fof(f21473,plain,
( ~ sQ32_spl
| sQ179_spl
| ~ sQ4_spl
| ~ sQ101_spl ),
inference(contradiction_clause,[status(thm)],[f21472]) ).
fof(f21491,plain,
( ~ sQ44_spl
| e4 != op(e1,e4) ),
inference(backward_demodulation,[status(thm)],[f1537,f282]) ).
fof(f21498,plain,
( ~ sQ44_spl
| op(e0,e3) != e4 ),
inference(forward_demodulation,[status(thm)],[f1537,f243]) ).
fof(f21638,plain,
( sQ190_spl
| ~ sQ166_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f20880,f1600,f2050,f2194]) ).
fof(f22107,plain,
( sQ187_spl
| ~ sQ30_spl
| ~ sQ8_spl
| ~ sQ151_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f9591,f1696,f1987,f1421,f1492,f2179]) ).
fof(f22123,plain,
( sQ175_spl
| ~ sQ30_spl
| ~ sQ8_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f7922,f1690,f1421,f1492,f2095]) ).
fof(f22211,plain,
( ~ sQ44_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f21491,f1552,f1536]) ).
fof(f22219,plain,
( ~ sQ44_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f21498,f1456,f1536]) ).
fof(f22235,plain,
( ~ sQ48_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f5909,f1469,f1549]) ).
fof(f22236,plain,
( ~ sQ48_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f4125,f1533,f1549]) ).
fof(f22272,plain,
( sQ161_spl
| ~ sQ90_spl
| ~ sQ158_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f16764,f1783,f2018,f1684,f2031]) ).
fof(f22278,plain,
( ~ sQ158_spl
| ~ sQ90_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f16828,f1536,f1684,f2018]) ).
fof(f22284,plain,
$false,
inference(sat_refutation,[status(thm)],[f1411,f1427,f1443,f1459,f1475,f1491,f1507,f1523,f1539,f1555,f1571,f1587,f1603,f1619,f1635,f1651,f1667,f1683,f1699,f1715,f1731,f1747,f1763,f1779,f1795,f1811,f1812,f1814,f1815,f1816,f1817,f1818,f1819,f1820,f1821,f1822,f1823,f1824,f1826,f1827,f1828,f1829,f1830,f1831,f1832,f1833,f1834,f1835,f1836,f1838,f1839,f1840,f1841,f1842,f1843,f1844,f1845,f1846,f1847,f1850,f1851,f1852,f1853,f1854,f1855,f1856,f1857,f1858,f1859,f1860,f1865,f1866,f1867,f1868,f1869,f1870,f1871,f1872,f1875,f1877,f1879,f1881,f1885,f1887,f1889,f1891,f1895,f1897,f1899,f1901,f1905,f1907,f1909,f1911,f1924,f1928,f1966,f1986,f1990,f1994,f2021,f2022,f2037,f2038,f2061,f2066,f2070,f2079,f2084,f2093,f2094,f2102,f2107,f2120,f2121,f2122,f2123,f2130,f2135,f2139,f2140,f2141,f2146,f2151,f2163,f2165,f2167,f2169,f2171,f2172,f2173,f2178,f2182,f2193,f2200,f2201,f2202,f2203,f2204,f2207,f2209,f2211,f2221,f2222,f2223,f2224,f2225,f2233,f2234,f2235,f2236,f2237,f2242,f2253,f2254,f2255,f2256,f2257,f2262,f2263,f2264,f2265,f2266,f2270,f2271,f2272,f2278,f2279,f2280,f2281,f2282,f2286,f2287,f2288,f2289,f2290,f2294,f2296,f2297,f2298,f2302,f2303,f2304,f2305,f2310,f2311,f2312,f2313,f2314,f2318,f2319,f2320,f2321,f2326,f2327,f2328,f2329,f2334,f2335,f2336,f2337,f2342,f2343,f2344,f2345,f2346,f2350,f2352,f2353,f2354,f2358,f2359,f2360,f2361,f2362,f2366,f2367,f2369,f2374,f2375,f2376,f2377,f2378,f2382,f2383,f2384,f2385,f2386,f2390,f2391,f2393,f2398,f2400,f2401,f2406,f2408,f2409,f2410,f2414,f2415,f2417,f2422,f2423,f2424,f2425,f2430,f2431,f2433,f2438,f2439,f2440,f2441,f2442,f2446,f2447,f2448,f2449,f2450,f2454,f2456,f2457,f2458,f2462,f2463,f2470,f2471,f2472,f2473,f2478,f2479,f2480,f2481,f2482,f2486,f2487,f2488,f2489,f2494,f2495,f2497,f2502,f2503,f2504,f2505,f2506,f2510,f2512,f2513,f2518,f2519,f2520,f2521,f2526,f2527,f2529,f2534,f2535,f2536,f2537,f2538,f2542,f2543,f2544,f2545,f2546,f2550,f2551,f2553,f2558,f2566,f2568,f2569,f2570,f2574,f2575,f2576,f2577,f2582,f2583,f2584,f2585,f2590,f2591,f2592,f2598,f2599,f2600,f2601,f2602,f2606,f2607,f2609,f2610,f2614,f2616,f2617,f2622,f2623,f2624,f2625,f2630,f2631,f2632,f2633,f2638,f2639,f2641,f2642,f2646,f2647,f2654,f2655,f2657,f2662,f2663,f2664,f2665,f2670,f2672,f2673,f2678,f2679,f2680,f2681,f2686,f2687,f2689,f2694,f2695,f2696,f2697,f2698,f2702,f2703,f2705,f2706,f2710,f2711,f2713,f2718,f2720,f2721,f2726,f2728,f2729,f2730,f2734,f2735,f2736,f2737,f2738,f2742,f2743,f2745,f2750,f2751,f2753,f2758,f2759,f2760,f2761,f2762,f2766,f2767,f2768,f2769,f2774,f2777,f2778,f2782,f2783,f2785,f2790,f2791,f2792,f2793,f2794,f2798,f2799,f2800,f2801,f2806,f2807,f2808,f2809,f2814,f2815,f2817,f2822,f2823,f2824,f2825,f2830,f2832,f2833,f2838,f2839,f2841,f2842,f2846,f2847,f2849,f2850,f2854,f2855,f2856,f2857,f2862,f2863,f2865,f2866,f2870,f2871,f2873,f2874,f2878,f2880,f2881,f2882,f2886,f2888,f2889,f2890,f2894,f2895,f2897,f2902,f2903,f2905,f2906,f2910,f2911,f2912,f2913,f2914,f2918,f2919,f2920,f2921,f2922,f2926,f2927,f2929,f2930,f2934,f2936,f2937,f2938,f2939,f2940,f2941,f2942,f2943,f2944,f2945,f2950,f2951,f2953,f2954,f2958,f2959,f2960,f2961,f2962,f2963,f2964,f2965,f2966,f2967,f2968,f2969,f2974,f2975,f2977,f2978,f2979,f2980,f2982,f2983,f2984,f2985,f2988,f2989,f2991,f3094,f3103,f3111,f3118,f3142,f3145,f3148,f3169,f3177,f3185,f3188,f3199,f3205,f3217,f3220,f3223,f3234,f3238,f3251,f3259,f3262,f3313,f3322,f3371,f3377,f3418,f3425,f3450,f3451,f3456,f3462,f3465,f3467,f3469,f3470,f3471,f3480,f3500,f3503,f3563,f3564,f3565,f3568,f3608,f3609,f3610,f3612,f3613,f3617,f3620,f3622,f3623,f3652,f3666,f3681,f3706,f3766,f3784,f3785,f3788,f3826,f3829,f3834,f3854,f3897,f3917,f3918,f3932,f3953,f3955,f3959,f4040,f4046,f4049,f4065,f4092,f4096,f4118,f4146,f4149,f4150,f4167,f4187,f4192,f4193,f4196,f4198,f4199,f4200,f4201,f4202,f4203,f4204,f4205,f4206,f4207,f4208,f4270,f4296,f4305,f4306,f4338,f4342,f4372,f4378,f4379,f4381,f4383,f4384,f4411,f4413,f4419,f4440,f4442,f4446,f4449,f4452,f4457,f4464,f4472,f4474,f4475,f4476,f4477,f4507,f4510,f4536,f4556,f4557,f4558,f4569,f4583,f4611,f4612,f4664,f4707,f4711,f4726,f4730,f4788,f4795,f4796,f4798,f4799,f4813,f4814,f4850,f4851,f4852,f4864,f4865,f4873,f4883,f4910,f4926,f4972,f5004,f5006,f5007,f5008,f5022,f5054,f5056,f5058,f5064,f5083,f5101,f5103,f5184,f5195,f5237,f5265,f5266,f5272,f5308,f5309,f5314,f5366,f5367,f5370,f5377,f5380,f5381,f5418,f5419,f5427,f5469,f5471,f5472,f5473,f5529,f5533,f5551,f5552,f5555,f5559,f5569,f5570,f5623,f5624,f5626,f5645,f5647,f5648,f5685,f5691,f5694,f5695,f5741,f5743,f5769,f5770,f5793,f5797,f5803,f5804,f5805,f5806,f5838,f5890,f5911,f5917,f5918,f5921,f5933,f5946,f5948,f5949,f5982,f6005,f6052,f6070,f6075,f6077,f6130,f6140,f6151,f6156,f6159,f6205,f6219,f6254,f6277,f6284,f6295,f6328,f6329,f6342,f6408,f6439,f6442,f6444,f6476,f6507,f6508,f6509,f6510,f6514,f6536,f6569,f6570,f6571,f6597,f6598,f6637,f6671,f6741,f6747,f6761,f6763,f6826,f6827,f6830,f6921,f6922,f6934,f6938,f6939,f6973,f7032,f7049,f7050,f7056,f7063,f7066,f7098,f7129,f7151,f7152,f7153,f7154,f7256,f7257,f7304,f7309,f7333,f7334,f7343,f7352,f7353,f7362,f7363,f7364,f7370,f7388,f7392,f7399,f7400,f7402,f7445,f7462,f7465,f7658,f7668,f7687,f7720,f7726,f7727,f7728,f7729,f7733,f7754,f7761,f7793,f7924,f8059,f8075,f8077,f8084,f8128,f8129,f8149,f8375,f8400,f8523,f8528,f8536,f8537,f8542,f8544,f8557,f8625,f8628,f8647,f8661,f8662,f8685,f8687,f8691,f8692,f8709,f8744,f8749,f8770,f8900,f8915,f8929,f8948,f8976,f9018,f9019,f9022,f9066,f9071,f9102,f9127,f9153,f9166,f9167,f9171,f9172,f9175,f9176,f9204,f9247,f9274,f9289,f9290,f9336,f9337,f9359,f9362,f9427,f9448,f9449,f9459,f9460,f9461,f9462,f9463,f9465,f9466,f9467,f9468,f9492,f9508,f9683,f9685,f9702,f9739,f9746,f9752,f9820,f9839,f9857,f9858,f9859,f9867,f9869,f9887,f9889,f9896,f9923,f9925,f9946,f9950,f9962,f10042,f10278,f10287,f10294,f10295,f10296,f10297,f10299,f10301,f10332,f10370,f10372,f10373,f10375,f10379,f10427,f10434,f10461,f10488,f10555,f10558,f10621,f10648,f10660,f10702,f10708,f10763,f10764,f10781,f10782,f10783,f10811,f10856,f10955,f10957,f10970,f10976,f10977,f11010,f11011,f11034,f11036,f11139,f11141,f11142,f11143,f11144,f11200,f11203,f11216,f11264,f11289,f11310,f11312,f11313,f11329,f11350,f11355,f11391,f11410,f11430,f11498,f11583,f11612,f11620,f11633,f11674,f11719,f11731,f11789,f11790,f11791,f11806,f11815,f11918,f11923,f11924,f11954,f11956,f11984,f11985,f12019,f12020,f12021,f12042,f12043,f12044,f12127,f12154,f12161,f12195,f12299,f12300,f12369,f12370,f12776,f13100,f13101,f13103,f13129,f13174,f13206,f13207,f13216,f13223,f13278,f13291,f13358,f13359,f13381,f13382,f13396,f13498,f13539,f13550,f13553,f13563,f13564,f13714,f13731,f13740,f13792,f13808,f13958,f13986,f14133,f14134,f14260,f14287,f14300,f14305,f14331,f14411,f14418,f14429,f14478,f14601,f14636,f14671,f14673,f14674,f14687,f14708,f14740,f14744,f14797,f14821,f15019,f15161,f15162,f15186,f15187,f15188,f15299,f15313,f15327,f15487,f15513,f15530,f15538,f15632,f15739,f15886,f15941,f15946,f15949,f15966,f16025,f16037,f16039,f16059,f16069,f16080,f16219,f16741,f16778,f16798,f16800,f16819,f17047,f17157,f17190,f17191,f17361,f17415,f17461,f17478,f17559,f17650,f17945,f18040,f18090,f18352,f18375,f18620,f18743,f18992,f19005,f19055,f19058,f19064,f19079,f19414,f19449,f19487,f19520,f19521,f19544,f19660,f19676,f19750,f19755,f19832,f19833,f19902,f19931,f19942,f20107,f20117,f20147,f20245,f20308,f20364,f20366,f20625,f20627,f20632,f20657,f20658,f20825,f20833,f20873,f21063,f21346,f21427,f21449,f21473,f21638,f22107,f22123,f22211,f22219,f22235,f22236,f22272,f22278]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG099+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/15.41 % Computer : n016.cluster.edu
% 0.13/15.41 % Model : x86_64 x86_64
% 0.13/15.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/15.41 % Memory : 8046.5625MB
% 0.13/15.41 % OS : Linux 6.8.0-71-generic
% 0.13/15.41 % CPULimit : 300
% 0.13/15.41 % WCLimit : 300
% 0.13/15.41 % DateTime : Mon Sep 21 13:00:53 UTC 2026
% 0.13/15.42 % CPUTime :
% 0.13/15.45 % Drodi V4.1.1
% 29.70/19.39 % Refutation found
% 29.70/19.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 29.70/19.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 19.10/20.60 % Elapsed time: 4.969961 seconds
% 19.10/20.60 % CPU time: 30.202883 seconds
% 19.10/20.60 % Total memory used: 228.428 MB
% 19.10/20.60 % Net memory used: 223.260 MB
%------------------------------------------------------------------------------