%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG047+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 : n018.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 11:47:53 AM UTC 2026
% Result : Theorem 5.10s 2.22s
% Output : CNFRefutation 5.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 536
% Syntax : Number of formulae : 3371 ( 182 unt; 529 def)
% Number of atoms : 17961 (11168 equ)
% Maximal formula atoms : 650 ( 5 avg)
% Number of connectives : 22648 (8058 ~;9914 |;3997 &)
% ( 679 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 531 ( 529 usr; 530 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,
unit = e0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,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(f6,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(f7,conjecture,
( ( op(op(e4,e4),e4) != e4
& op(op(e4,e4),e4) = e4
& op(e4,e4) != op(e4,e4) )
| ( op(op(e4,e3),e4) != e3
& op(op(e4,e3),e3) = e4
& op(e3,e4) != op(e4,e3) )
| ( op(op(e4,e2),e4) != e2
& op(op(e4,e2),e2) = e4
& op(e2,e4) != op(e4,e2) )
| ( op(op(e4,e1),e4) != e1
& op(op(e4,e1),e1) = e4
& op(e1,e4) != op(e4,e1) )
| ( op(op(e4,e0),e4) != e0
& op(op(e4,e0),e0) = e4
& op(e0,e4) != op(e4,e0) )
| ( op(op(e3,e4),e3) != e4
& op(op(e3,e4),e4) = e3
& op(e4,e3) != op(e3,e4) )
| ( op(op(e3,e3),e3) != e3
& op(op(e3,e3),e3) = e3
& op(e3,e3) != op(e3,e3) )
| ( op(op(e3,e2),e3) != e2
& op(op(e3,e2),e2) = e3
& op(e2,e3) != op(e3,e2) )
| ( op(op(e3,e1),e3) != e1
& op(op(e3,e1),e1) = e3
& op(e1,e3) != op(e3,e1) )
| ( op(op(e3,e0),e3) != e0
& op(op(e3,e0),e0) = e3
& op(e0,e3) != op(e3,e0) )
| ( op(op(e2,e4),e2) != e4
& op(op(e2,e4),e4) = e2
& op(e4,e2) != op(e2,e4) )
| ( op(op(e2,e3),e2) != e3
& op(op(e2,e3),e3) = e2
& op(e3,e2) != op(e2,e3) )
| ( op(op(e2,e2),e2) != e2
& op(op(e2,e2),e2) = e2
& op(e2,e2) != op(e2,e2) )
| ( op(op(e2,e1),e2) != e1
& op(op(e2,e1),e1) = e2
& op(e1,e2) != op(e2,e1) )
| ( op(op(e2,e0),e2) != e0
& op(op(e2,e0),e0) = e2
& op(e0,e2) != op(e2,e0) )
| ( op(op(e1,e4),e1) != e4
& op(op(e1,e4),e4) = e1
& op(e4,e1) != op(e1,e4) )
| ( op(op(e1,e3),e1) != e3
& op(op(e1,e3),e3) = e1
& op(e3,e1) != op(e1,e3) )
| ( op(op(e1,e2),e1) != e2
& op(op(e1,e2),e2) = e1
& op(e2,e1) != op(e1,e2) )
| ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,e1) != op(e1,e1) )
| ( op(op(e1,e0),e1) != e0
& op(op(e1,e0),e0) = e1
& op(e0,e1) != op(e1,e0) )
| ( op(op(e0,e4),e0) != e4
& op(op(e0,e4),e4) = e0
& op(e4,e0) != op(e0,e4) )
| ( op(op(e0,e3),e0) != e3
& op(op(e0,e3),e3) = e0
& op(e3,e0) != op(e0,e3) )
| ( op(op(e0,e2),e0) != e2
& op(op(e0,e2),e2) = e0
& op(e2,e0) != op(e0,e2) )
| ( op(op(e0,e1),e0) != e1
& op(op(e0,e1),e1) = e0
& op(e1,e0) != op(e0,e1) )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,e0) != op(e0,e0) )
| ( op(e4,e4) != e4
& op(e4,e4) = e4
& op(e4,e4) = e4 )
| ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 )
| ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e3,e4) != e3
& op(e4,e4) = e3
& op(e3,e3) = e4 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e2,e4) != e2
& op(e4,e4) = e2
& op(e2,e2) = e4 )
| ( op(e2,e3) != e2
& op(e3,e3) = e2
& op(e2,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e1,e4) != e1
& op(e4,e4) = e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( ( ( 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 ) )
| ( ( ( op(e4,op(e4,e4)) = e4
& op(e4,op(e4,e4)) != e4 )
| ( op(e4,op(e3,e4)) = e3
& op(e3,op(e3,e4)) != e4 )
| ( op(e4,op(e2,e4)) = e2
& op(e2,op(e2,e4)) != e4 )
| ( op(e4,op(e1,e4)) = e1
& op(e1,op(e1,e4)) != e4 )
| ( op(e4,op(e0,e4)) = e0
& op(e0,op(e0,e4)) != e4 ) )
& ( ( op(e3,op(e4,e3)) = e4
& op(e4,op(e4,e3)) != e3 )
| ( op(e3,op(e3,e3)) = e3
& op(e3,op(e3,e3)) != e3 )
| ( op(e3,op(e2,e3)) = e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e3,op(e1,e3)) = e1
& op(e1,op(e1,e3)) != e3 )
| ( op(e3,op(e0,e3)) = e0
& op(e0,op(e0,e3)) != e3 ) )
& ( ( op(e2,op(e4,e2)) = e4
& op(e4,op(e4,e2)) != e2 )
| ( op(e2,op(e3,e2)) = e3
& op(e3,op(e3,e2)) != e2 )
| ( op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e2)) != e2 )
| ( op(e2,op(e1,e2)) = e1
& op(e1,op(e1,e2)) != e2 )
| ( op(e2,op(e0,e2)) = e0
& op(e0,op(e0,e2)) != e2 ) )
& ( ( op(e1,op(e4,e1)) = e4
& op(e4,op(e4,e1)) != e1 )
| ( op(e1,op(e3,e1)) = e3
& op(e3,op(e3,e1)) != e1 )
| ( op(e1,op(e2,e1)) = e2
& op(e2,op(e2,e1)) != e1 )
| ( op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e1)) != e1 )
| ( op(e1,op(e0,e1)) = e0
& op(e0,op(e0,e1)) != e1 ) )
& ( ( op(e0,op(e4,e0)) = e4
& op(e4,op(e4,e0)) != e0 )
| ( op(e0,op(e3,e0)) = e3
& op(e3,op(e3,e0)) != e0 )
| ( op(e0,op(e2,e0)) = e2
& op(e2,op(e2,e0)) != e0 )
| ( op(e0,op(e1,e0)) = e1
& op(e1,op(e1,e0)) != e0 )
| ( op(e0,op(e0,e0)) = e0
& op(e0,op(e0,e0)) != e0 ) ) )
| ( ( op(e4,e4) = e4
| op(e4,e4) != e4 )
& ( op(e4,e3) = e4
| op(e4,e4) != e3 )
& ( op(e4,e2) = e4
| op(e4,e4) != e2 )
& ( op(e4,e1) = e4
| op(e4,e4) != e1 )
& ( op(e4,e0) = e4
| op(e4,e4) != e0 )
& ( op(e3,e4) = e3
| op(e3,e3) != e4 )
& ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e4) = e2
| op(e2,e2) != e4 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e4) = e1
| op(e1,e1) != e4 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e4) = e0
| op(e0,e0) != e4 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 ) )
| ( ( op(e4,e4) = e4
| op(e3,e3) = e4
| op(e2,e2) = e4
| op(e1,e1) = e4
| op(e0,e0) = e4 )
& ( op(e4,e4) = e3
| op(e3,e3) = e3
| op(e2,e2) = e3
| op(e1,e1) = e3
| op(e0,e0) = e3 )
& ( op(e4,e4) = e2
| op(e3,e3) = e2
| op(e2,e2) = e2
| op(e1,e1) = e2
| op(e0,e0) = e2 )
& ( op(e4,e4) = e1
| op(e3,e3) = e1
| op(e2,e2) = e1
| op(e1,e1) = e1
| op(e0,e0) = e1 )
& ( op(e4,e4) = e0
| op(e3,e3) = e0
| op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) = e0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
~ ( ( op(op(e4,e4),e4) != e4
& op(op(e4,e4),e4) = e4
& op(e4,e4) != op(e4,e4) )
| ( op(op(e4,e3),e4) != e3
& op(op(e4,e3),e3) = e4
& op(e3,e4) != op(e4,e3) )
| ( op(op(e4,e2),e4) != e2
& op(op(e4,e2),e2) = e4
& op(e2,e4) != op(e4,e2) )
| ( op(op(e4,e1),e4) != e1
& op(op(e4,e1),e1) = e4
& op(e1,e4) != op(e4,e1) )
| ( op(op(e4,e0),e4) != e0
& op(op(e4,e0),e0) = e4
& op(e0,e4) != op(e4,e0) )
| ( op(op(e3,e4),e3) != e4
& op(op(e3,e4),e4) = e3
& op(e4,e3) != op(e3,e4) )
| ( op(op(e3,e3),e3) != e3
& op(op(e3,e3),e3) = e3
& op(e3,e3) != op(e3,e3) )
| ( op(op(e3,e2),e3) != e2
& op(op(e3,e2),e2) = e3
& op(e2,e3) != op(e3,e2) )
| ( op(op(e3,e1),e3) != e1
& op(op(e3,e1),e1) = e3
& op(e1,e3) != op(e3,e1) )
| ( op(op(e3,e0),e3) != e0
& op(op(e3,e0),e0) = e3
& op(e0,e3) != op(e3,e0) )
| ( op(op(e2,e4),e2) != e4
& op(op(e2,e4),e4) = e2
& op(e4,e2) != op(e2,e4) )
| ( op(op(e2,e3),e2) != e3
& op(op(e2,e3),e3) = e2
& op(e3,e2) != op(e2,e3) )
| ( op(op(e2,e2),e2) != e2
& op(op(e2,e2),e2) = e2
& op(e2,e2) != op(e2,e2) )
| ( op(op(e2,e1),e2) != e1
& op(op(e2,e1),e1) = e2
& op(e1,e2) != op(e2,e1) )
| ( op(op(e2,e0),e2) != e0
& op(op(e2,e0),e0) = e2
& op(e0,e2) != op(e2,e0) )
| ( op(op(e1,e4),e1) != e4
& op(op(e1,e4),e4) = e1
& op(e4,e1) != op(e1,e4) )
| ( op(op(e1,e3),e1) != e3
& op(op(e1,e3),e3) = e1
& op(e3,e1) != op(e1,e3) )
| ( op(op(e1,e2),e1) != e2
& op(op(e1,e2),e2) = e1
& op(e2,e1) != op(e1,e2) )
| ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,e1) != op(e1,e1) )
| ( op(op(e1,e0),e1) != e0
& op(op(e1,e0),e0) = e1
& op(e0,e1) != op(e1,e0) )
| ( op(op(e0,e4),e0) != e4
& op(op(e0,e4),e4) = e0
& op(e4,e0) != op(e0,e4) )
| ( op(op(e0,e3),e0) != e3
& op(op(e0,e3),e3) = e0
& op(e3,e0) != op(e0,e3) )
| ( op(op(e0,e2),e0) != e2
& op(op(e0,e2),e2) = e0
& op(e2,e0) != op(e0,e2) )
| ( op(op(e0,e1),e0) != e1
& op(op(e0,e1),e1) = e0
& op(e1,e0) != op(e0,e1) )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,e0) != op(e0,e0) )
| ( op(e4,e4) != e4
& op(e4,e4) = e4
& op(e4,e4) = e4 )
| ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 )
| ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e3,e4) != e3
& op(e4,e4) = e3
& op(e3,e3) = e4 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e2,e4) != e2
& op(e4,e4) = e2
& op(e2,e2) = e4 )
| ( op(e2,e3) != e2
& op(e3,e3) = e2
& op(e2,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e1,e4) != e1
& op(e4,e4) = e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ( ( ( 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 ) )
| ( ( ( op(e4,op(e4,e4)) = e4
& op(e4,op(e4,e4)) != e4 )
| ( op(e4,op(e3,e4)) = e3
& op(e3,op(e3,e4)) != e4 )
| ( op(e4,op(e2,e4)) = e2
& op(e2,op(e2,e4)) != e4 )
| ( op(e4,op(e1,e4)) = e1
& op(e1,op(e1,e4)) != e4 )
| ( op(e4,op(e0,e4)) = e0
& op(e0,op(e0,e4)) != e4 ) )
& ( ( op(e3,op(e4,e3)) = e4
& op(e4,op(e4,e3)) != e3 )
| ( op(e3,op(e3,e3)) = e3
& op(e3,op(e3,e3)) != e3 )
| ( op(e3,op(e2,e3)) = e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e3,op(e1,e3)) = e1
& op(e1,op(e1,e3)) != e3 )
| ( op(e3,op(e0,e3)) = e0
& op(e0,op(e0,e3)) != e3 ) )
& ( ( op(e2,op(e4,e2)) = e4
& op(e4,op(e4,e2)) != e2 )
| ( op(e2,op(e3,e2)) = e3
& op(e3,op(e3,e2)) != e2 )
| ( op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e2)) != e2 )
| ( op(e2,op(e1,e2)) = e1
& op(e1,op(e1,e2)) != e2 )
| ( op(e2,op(e0,e2)) = e0
& op(e0,op(e0,e2)) != e2 ) )
& ( ( op(e1,op(e4,e1)) = e4
& op(e4,op(e4,e1)) != e1 )
| ( op(e1,op(e3,e1)) = e3
& op(e3,op(e3,e1)) != e1 )
| ( op(e1,op(e2,e1)) = e2
& op(e2,op(e2,e1)) != e1 )
| ( op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e1)) != e1 )
| ( op(e1,op(e0,e1)) = e0
& op(e0,op(e0,e1)) != e1 ) )
& ( ( op(e0,op(e4,e0)) = e4
& op(e4,op(e4,e0)) != e0 )
| ( op(e0,op(e3,e0)) = e3
& op(e3,op(e3,e0)) != e0 )
| ( op(e0,op(e2,e0)) = e2
& op(e2,op(e2,e0)) != e0 )
| ( op(e0,op(e1,e0)) = e1
& op(e1,op(e1,e0)) != e0 )
| ( op(e0,op(e0,e0)) = e0
& op(e0,op(e0,e0)) != e0 ) ) )
| ( ( op(e4,e4) = e4
| op(e4,e4) != e4 )
& ( op(e4,e3) = e4
| op(e4,e4) != e3 )
& ( op(e4,e2) = e4
| op(e4,e4) != e2 )
& ( op(e4,e1) = e4
| op(e4,e4) != e1 )
& ( op(e4,e0) = e4
| op(e4,e4) != e0 )
& ( op(e3,e4) = e3
| op(e3,e3) != e4 )
& ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e4) = e2
| op(e2,e2) != e4 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e4) = e1
| op(e1,e1) != e4 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e4) = e0
| op(e0,e0) != e4 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 ) )
| ( ( op(e4,e4) = e4
| op(e3,e3) = e4
| op(e2,e2) = e4
| op(e1,e1) = e4
| op(e0,e0) = e4 )
& ( op(e4,e4) = e3
| op(e3,e3) = e3
| op(e2,e2) = e3
| op(e1,e1) = e3
| op(e0,e0) = e3 )
& ( op(e4,e4) = e2
| op(e3,e3) = e2
| op(e2,e2) = e2
| op(e1,e1) = e2
| op(e0,e0) = e2 )
& ( op(e4,e4) = e1
| op(e3,e3) = e1
| op(e2,e2) = e1
| op(e1,e1) = e1
| op(e0,e0) = e1 )
& ( op(e4,e4) = e0
| op(e3,e3) = e0
| op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) = e0 ) ) ),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f12,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(f15,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(f16,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(f17,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(f18,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(f20,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(f21,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(f22,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(f23,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(f24,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(f25,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(f26,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(f27,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(f28,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(f30,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(f31,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(f32,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(f33,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(f35,plain,
op(e0,unit) = e0,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f36,plain,
op(unit,e1) = e1,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f37,plain,
op(e1,unit) = e1,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f38,plain,
op(unit,e2) = e2,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f39,plain,
op(e2,unit) = e2,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f40,plain,
op(unit,e3) = e3,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f41,plain,
op(e3,unit) = e3,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f42,plain,
op(unit,e4) = e4,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f43,plain,
op(e4,unit) = e4,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f44,plain,
( unit = e4
| unit = e3
| unit = e2
| unit = e1
| unit = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f45,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(f47,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(f55,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(f56,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(f59,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(f60,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(f61,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(f62,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(f63,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(f64,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(f65,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(f66,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(f67,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(f68,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(f69,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(f71,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(f72,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(f73,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(f74,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(f75,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(f76,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(f77,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(f78,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(f79,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(f80,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(f83,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(f84,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(f86,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(f87,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(f88,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(f89,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(f90,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(f91,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(f92,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(f95,plain,
unit = e0,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f101,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f102,plain,
op(e1,e0) != op(e4,e0),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f104,plain,
op(e2,e0) != op(e4,e0),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f105,plain,
op(e3,e0) != op(e4,e0),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f108,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f109,plain,
op(e0,e1) != op(e4,e1),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f110,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f111,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f112,plain,
op(e1,e1) != op(e4,e1),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f113,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f114,plain,
op(e2,e1) != op(e4,e1),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f115,plain,
op(e3,e1) != op(e4,e1),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f116,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f117,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f118,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f119,plain,
op(e0,e2) != op(e4,e2),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f120,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f121,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f122,plain,
op(e1,e2) != op(e4,e2),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f123,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f124,plain,
op(e2,e2) != op(e4,e2),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f125,plain,
op(e3,e2) != op(e4,e2),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f126,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f127,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f128,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f129,plain,
op(e0,e3) != op(e4,e3),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f130,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f131,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f132,plain,
op(e1,e3) != op(e4,e3),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f133,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f134,plain,
op(e2,e3) != op(e4,e3),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f135,plain,
op(e3,e3) != op(e4,e3),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f136,plain,
op(e0,e4) != op(e1,e4),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f137,plain,
op(e0,e4) != op(e2,e4),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f138,plain,
op(e0,e4) != op(e3,e4),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f139,plain,
op(e0,e4) != op(e4,e4),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f140,plain,
op(e1,e4) != op(e2,e4),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f141,plain,
op(e1,e4) != op(e3,e4),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f142,plain,
op(e1,e4) != op(e4,e4),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f143,plain,
op(e2,e4) != op(e3,e4),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f144,plain,
op(e2,e4) != op(e4,e4),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f145,plain,
op(e3,e4) != op(e4,e4),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f150,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f153,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f156,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f157,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f158,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f159,plain,
op(e1,e0) != op(e1,e4),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f160,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f161,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f162,plain,
op(e1,e1) != op(e1,e4),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f163,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f164,plain,
op(e1,e2) != op(e1,e4),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f165,plain,
op(e1,e3) != op(e1,e4),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f166,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f168,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f169,plain,
op(e2,e0) != op(e2,e4),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f170,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f171,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f172,plain,
op(e2,e1) != op(e2,e4),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f173,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f174,plain,
op(e2,e2) != op(e2,e4),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f175,plain,
op(e2,e3) != op(e2,e4),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f176,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f177,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f179,plain,
op(e3,e0) != op(e3,e4),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f180,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f181,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f182,plain,
op(e3,e1) != op(e3,e4),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f183,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f184,plain,
op(e3,e2) != op(e3,e4),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f185,plain,
op(e3,e3) != op(e3,e4),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f186,plain,
op(e4,e0) != op(e4,e1),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f190,plain,
op(e4,e1) != op(e4,e2),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f191,plain,
op(e4,e1) != op(e4,e3),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f192,plain,
op(e4,e1) != op(e4,e4),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f193,plain,
op(e4,e2) != op(e4,e3),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f194,plain,
op(e4,e2) != op(e4,e4),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f195,plain,
op(e4,e3) != op(e4,e4),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f196,plain,
e0 != e1,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f197,plain,
e0 != e2,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f198,plain,
e0 != e3,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f199,plain,
e0 != e4,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f200,plain,
e1 != e2,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f201,plain,
e1 != e3,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f202,plain,
e1 != e4,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f203,plain,
e2 != e3,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f204,plain,
e2 != e4,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f205,plain,
e3 != e4,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f206,plain,
( ( op(op(e4,e4),e4) = e4
| op(op(e4,e4),e4) != e4
| op(e4,e4) = op(e4,e4) )
& ( op(op(e4,e3),e4) = e3
| op(op(e4,e3),e3) != e4
| op(e3,e4) = op(e4,e3) )
& ( op(op(e4,e2),e4) = e2
| op(op(e4,e2),e2) != e4
| op(e2,e4) = op(e4,e2) )
& ( op(op(e4,e1),e4) = e1
| op(op(e4,e1),e1) != e4
| op(e1,e4) = op(e4,e1) )
& ( op(op(e4,e0),e4) = e0
| op(op(e4,e0),e0) != e4
| op(e0,e4) = op(e4,e0) )
& ( op(op(e3,e4),e3) = e4
| op(op(e3,e4),e4) != e3
| op(e4,e3) = op(e3,e4) )
& ( op(op(e3,e3),e3) = e3
| op(op(e3,e3),e3) != e3
| op(e3,e3) = op(e3,e3) )
& ( op(op(e3,e2),e3) = e2
| op(op(e3,e2),e2) != e3
| op(e2,e3) = op(e3,e2) )
& ( op(op(e3,e1),e3) = e1
| op(op(e3,e1),e1) != e3
| op(e1,e3) = op(e3,e1) )
& ( op(op(e3,e0),e3) = e0
| op(op(e3,e0),e0) != e3
| op(e0,e3) = op(e3,e0) )
& ( op(op(e2,e4),e2) = e4
| op(op(e2,e4),e4) != e2
| op(e4,e2) = op(e2,e4) )
& ( op(op(e2,e3),e2) = e3
| op(op(e2,e3),e3) != e2
| op(e3,e2) = op(e2,e3) )
& ( op(op(e2,e2),e2) = e2
| op(op(e2,e2),e2) != e2
| op(e2,e2) = op(e2,e2) )
& ( op(op(e2,e1),e2) = e1
| op(op(e2,e1),e1) != e2
| op(e1,e2) = op(e2,e1) )
& ( op(op(e2,e0),e2) = e0
| op(op(e2,e0),e0) != e2
| op(e0,e2) = op(e2,e0) )
& ( op(op(e1,e4),e1) = e4
| op(op(e1,e4),e4) != e1
| op(e4,e1) = op(e1,e4) )
& ( op(op(e1,e3),e1) = e3
| op(op(e1,e3),e3) != e1
| op(e3,e1) = op(e1,e3) )
& ( op(op(e1,e2),e1) = e2
| op(op(e1,e2),e2) != e1
| op(e2,e1) = op(e1,e2) )
& ( op(op(e1,e1),e1) = e1
| op(op(e1,e1),e1) != e1
| op(e1,e1) = op(e1,e1) )
& ( op(op(e1,e0),e1) = e0
| op(op(e1,e0),e0) != e1
| op(e0,e1) = op(e1,e0) )
& ( op(op(e0,e4),e0) = e4
| op(op(e0,e4),e4) != e0
| op(e4,e0) = op(e0,e4) )
& ( op(op(e0,e3),e0) = e3
| op(op(e0,e3),e3) != e0
| op(e3,e0) = op(e0,e3) )
& ( op(op(e0,e2),e0) = e2
| op(op(e0,e2),e2) != e0
| op(e2,e0) = op(e0,e2) )
& ( op(op(e0,e1),e0) = e1
| op(op(e0,e1),e1) != e0
| op(e1,e0) = op(e0,e1) )
& ( op(op(e0,e0),e0) = e0
| op(op(e0,e0),e0) != e0
| op(e0,e0) = op(e0,e0) )
& ( op(e4,e4) = e4
| op(e4,e4) != e4
| op(e4,e4) != e4 )
& ( op(e4,e3) = e4
| op(e3,e3) != e4
| op(e4,e4) != e3 )
& ( op(e4,e2) = e4
| op(e2,e2) != e4
| op(e4,e4) != e2 )
& ( op(e4,e1) = e4
| op(e1,e1) != e4
| op(e4,e4) != e1 )
& ( op(e4,e0) = e4
| op(e0,e0) != e4
| op(e4,e4) != e0 )
& ( op(e3,e4) = e3
| op(e4,e4) != e3
| op(e3,e3) != e4 )
& ( op(e3,e3) = e3
| op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e2) = e3
| op(e2,e2) != e3
| op(e3,e3) != e2 )
& ( op(e3,e1) = e3
| op(e1,e1) != e3
| op(e3,e3) != e1 )
& ( op(e3,e0) = e3
| op(e0,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e4) = e2
| op(e4,e4) != e2
| op(e2,e2) != e4 )
& ( op(e2,e3) = e2
| op(e3,e3) != e2
| op(e2,e2) != e3 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e1) = e2
| op(e1,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e0) = e2
| op(e0,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e4) = e1
| op(e4,e4) != e1
| op(e1,e1) != e4 )
& ( op(e1,e3) = e1
| op(e3,e3) != e1
| op(e1,e1) != e3 )
& ( op(e1,e2) = e1
| op(e2,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e0) = e1
| op(e0,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e4) = e0
| op(e4,e4) != e0
| op(e0,e0) != e4 )
& ( op(e0,e3) = e0
| op(e3,e3) != e0
| op(e0,e0) != e3 )
& ( op(e0,e2) = e0
| op(e2,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e1) = e0
| op(e1,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( ( ( 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 ) )
& ( ( ( op(e4,op(e4,e4)) != e4
| op(e4,op(e4,e4)) = e4 )
& ( op(e4,op(e3,e4)) != e3
| op(e3,op(e3,e4)) = e4 )
& ( op(e4,op(e2,e4)) != e2
| op(e2,op(e2,e4)) = e4 )
& ( op(e4,op(e1,e4)) != e1
| op(e1,op(e1,e4)) = e4 )
& ( op(e4,op(e0,e4)) != e0
| op(e0,op(e0,e4)) = e4 ) )
| ( ( op(e3,op(e4,e3)) != e4
| op(e4,op(e4,e3)) = e3 )
& ( op(e3,op(e3,e3)) != e3
| op(e3,op(e3,e3)) = e3 )
& ( op(e3,op(e2,e3)) != e2
| op(e2,op(e2,e3)) = e3 )
& ( op(e3,op(e1,e3)) != e1
| op(e1,op(e1,e3)) = e3 )
& ( op(e3,op(e0,e3)) != e0
| op(e0,op(e0,e3)) = e3 ) )
| ( ( op(e2,op(e4,e2)) != e4
| op(e4,op(e4,e2)) = e2 )
& ( op(e2,op(e3,e2)) != e3
| op(e3,op(e3,e2)) = e2 )
& ( op(e2,op(e2,e2)) != e2
| op(e2,op(e2,e2)) = e2 )
& ( op(e2,op(e1,e2)) != e1
| op(e1,op(e1,e2)) = e2 )
& ( op(e2,op(e0,e2)) != e0
| op(e0,op(e0,e2)) = e2 ) )
| ( ( op(e1,op(e4,e1)) != e4
| op(e4,op(e4,e1)) = e1 )
& ( op(e1,op(e3,e1)) != e3
| op(e3,op(e3,e1)) = e1 )
& ( op(e1,op(e2,e1)) != e2
| op(e2,op(e2,e1)) = e1 )
& ( op(e1,op(e1,e1)) != e1
| op(e1,op(e1,e1)) = e1 )
& ( op(e1,op(e0,e1)) != e0
| op(e0,op(e0,e1)) = e1 ) )
| ( ( op(e0,op(e4,e0)) != e4
| op(e4,op(e4,e0)) = e0 )
& ( op(e0,op(e3,e0)) != e3
| op(e3,op(e3,e0)) = e0 )
& ( op(e0,op(e2,e0)) != e2
| op(e2,op(e2,e0)) = e0 )
& ( op(e0,op(e1,e0)) != e1
| op(e1,op(e1,e0)) = e0 )
& ( op(e0,op(e0,e0)) != e0
| op(e0,op(e0,e0)) = e0 ) ) )
& ( ( op(e4,e4) != e4
& op(e4,e4) = e4 )
| ( op(e4,e3) != e4
& op(e4,e4) = e3 )
| ( op(e4,e2) != e4
& op(e4,e4) = e2 )
| ( op(e4,e1) != e4
& op(e4,e4) = e1 )
| ( op(e4,e0) != e4
& op(e4,e4) = e0 )
| ( op(e3,e4) != e3
& op(e3,e3) = e4 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0 )
| ( op(e2,e4) != e2
& op(e2,e2) = e4 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0 )
| ( op(e1,e4) != e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0 ) )
& ( ( op(e4,e4) != e4
& op(e3,e3) != e4
& op(e2,e2) != e4
& op(e1,e1) != e4
& op(e0,e0) != e4 )
| ( op(e4,e4) != e3
& op(e3,e3) != e3
& op(e2,e2) != e3
& op(e1,e1) != e3
& op(e0,e0) != e3 )
| ( op(e4,e4) != e2
& op(e3,e3) != e2
& op(e2,e2) != e2
& op(e1,e1) != e2
& op(e0,e0) != e2 )
| ( op(e4,e4) != e1
& op(e3,e3) != e1
& op(e2,e2) != e1
& op(e1,e1) != e1
& op(e0,e0) != e1 )
| ( op(e4,e4) != e0
& op(e3,e3) != e0
& op(e2,e2) != e0
& op(e1,e1) != e0
& op(e0,e0) != e0 ) ) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f207,definition,
( sP0_prd
<=> ( ( op(e4,e4) != e3
& op(e3,e3) != e3
& op(e2,e2) != e3
& op(e1,e1) != e3
& op(e0,e0) != e3 )
| ( op(e4,e4) != e2
& op(e3,e3) != e2
& op(e2,e2) != e2
& op(e1,e1) != e2
& op(e0,e0) != e2 )
| ( op(e4,e4) != e1
& op(e3,e3) != e1
& op(e2,e2) != e1
& op(e1,e1) != e1
& op(e0,e0) != e1 )
| ( op(e4,e4) != e0
& op(e3,e3) != e0
& op(e2,e2) != e0
& op(e1,e1) != e0
& op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f208,definition,
( sP1_prd
<=> ( ( op(e4,e3) != e4
& op(e4,e4) = e3 )
| ( op(e4,e2) != e4
& op(e4,e4) = e2 )
| ( op(e4,e1) != e4
& op(e4,e4) = e1 )
| ( op(e4,e0) != e4
& op(e4,e4) = e0 )
| ( op(e3,e4) != e3
& op(e3,e3) = e4 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0 )
| ( op(e2,e4) != e2
& op(e2,e2) = e4 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0 )
| ( op(e1,e4) != e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f209,definition,
( sP2_prd
<=> ( ( ( op(e3,op(e4,e3)) != e4
| op(e4,op(e4,e3)) = e3 )
& ( op(e3,op(e3,e3)) != e3
| op(e3,op(e3,e3)) = e3 )
& ( op(e3,op(e2,e3)) != e2
| op(e2,op(e2,e3)) = e3 )
& ( op(e3,op(e1,e3)) != e1
| op(e1,op(e1,e3)) = e3 )
& ( op(e3,op(e0,e3)) != e0
| op(e0,op(e0,e3)) = e3 ) )
| ( ( op(e2,op(e4,e2)) != e4
| op(e4,op(e4,e2)) = e2 )
& ( op(e2,op(e3,e2)) != e3
| op(e3,op(e3,e2)) = e2 )
& ( op(e2,op(e2,e2)) != e2
| op(e2,op(e2,e2)) = e2 )
& ( op(e2,op(e1,e2)) != e1
| op(e1,op(e1,e2)) = e2 )
& ( op(e2,op(e0,e2)) != e0
| op(e0,op(e0,e2)) = e2 ) )
| ( ( op(e1,op(e4,e1)) != e4
| op(e4,op(e4,e1)) = e1 )
& ( op(e1,op(e3,e1)) != e3
| op(e3,op(e3,e1)) = e1 )
& ( op(e1,op(e2,e1)) != e2
| op(e2,op(e2,e1)) = e1 )
& ( op(e1,op(e1,e1)) != e1
| op(e1,op(e1,e1)) = e1 )
& ( op(e1,op(e0,e1)) != e0
| op(e0,op(e0,e1)) = e1 ) )
| ( ( op(e0,op(e4,e0)) != e4
| op(e4,op(e4,e0)) = e0 )
& ( op(e0,op(e3,e0)) != e3
| op(e3,op(e3,e0)) = e0 )
& ( op(e0,op(e2,e0)) != e2
| op(e2,op(e2,e0)) = e0 )
& ( op(e0,op(e1,e0)) != e1
| op(e1,op(e1,e0)) = e0 )
& ( op(e0,op(e0,e0)) != e0
| op(e0,op(e0,e0)) = e0 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f210,definition,
( sP3_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,[sP3_prd])],[]) ).
fof(f211,definition,
( sP4_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,[sP4_prd])],[]) ).
fof(f212,definition,
( sP5_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,[sP5_prd])],[]) ).
fof(f213,definition,
( sP6_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,[sP6_prd])],[]) ).
fof(f214,definition,
( sP7_prd
<=> ( ( ( 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 ) ) ),
introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).
fof(f215,plain,
( ( op(op(e4,e4),e4) = e4
| op(op(e4,e4),e4) != e4
| op(e4,e4) = op(e4,e4) )
& ( op(op(e4,e3),e4) = e3
| op(op(e4,e3),e3) != e4
| op(e3,e4) = op(e4,e3) )
& ( op(op(e4,e2),e4) = e2
| op(op(e4,e2),e2) != e4
| op(e2,e4) = op(e4,e2) )
& ( op(op(e4,e1),e4) = e1
| op(op(e4,e1),e1) != e4
| op(e1,e4) = op(e4,e1) )
& ( op(op(e4,e0),e4) = e0
| op(op(e4,e0),e0) != e4
| op(e0,e4) = op(e4,e0) )
& ( op(op(e3,e4),e3) = e4
| op(op(e3,e4),e4) != e3
| op(e4,e3) = op(e3,e4) )
& ( op(op(e3,e3),e3) = e3
| op(op(e3,e3),e3) != e3
| op(e3,e3) = op(e3,e3) )
& ( op(op(e3,e2),e3) = e2
| op(op(e3,e2),e2) != e3
| op(e2,e3) = op(e3,e2) )
& ( op(op(e3,e1),e3) = e1
| op(op(e3,e1),e1) != e3
| op(e1,e3) = op(e3,e1) )
& ( op(op(e3,e0),e3) = e0
| op(op(e3,e0),e0) != e3
| op(e0,e3) = op(e3,e0) )
& ( op(op(e2,e4),e2) = e4
| op(op(e2,e4),e4) != e2
| op(e4,e2) = op(e2,e4) )
& ( op(op(e2,e3),e2) = e3
| op(op(e2,e3),e3) != e2
| op(e3,e2) = op(e2,e3) )
& ( op(op(e2,e2),e2) = e2
| op(op(e2,e2),e2) != e2
| op(e2,e2) = op(e2,e2) )
& ( op(op(e2,e1),e2) = e1
| op(op(e2,e1),e1) != e2
| op(e1,e2) = op(e2,e1) )
& ( op(op(e2,e0),e2) = e0
| op(op(e2,e0),e0) != e2
| op(e0,e2) = op(e2,e0) )
& ( op(op(e1,e4),e1) = e4
| op(op(e1,e4),e4) != e1
| op(e4,e1) = op(e1,e4) )
& ( op(op(e1,e3),e1) = e3
| op(op(e1,e3),e3) != e1
| op(e3,e1) = op(e1,e3) )
& ( op(op(e1,e2),e1) = e2
| op(op(e1,e2),e2) != e1
| op(e2,e1) = op(e1,e2) )
& ( op(op(e1,e1),e1) = e1
| op(op(e1,e1),e1) != e1
| op(e1,e1) = op(e1,e1) )
& ( op(op(e1,e0),e1) = e0
| op(op(e1,e0),e0) != e1
| op(e0,e1) = op(e1,e0) )
& ( op(op(e0,e4),e0) = e4
| op(op(e0,e4),e4) != e0
| op(e4,e0) = op(e0,e4) )
& ( op(op(e0,e3),e0) = e3
| op(op(e0,e3),e3) != e0
| op(e3,e0) = op(e0,e3) )
& ( op(op(e0,e2),e0) = e2
| op(op(e0,e2),e2) != e0
| op(e2,e0) = op(e0,e2) )
& ( op(op(e0,e1),e0) = e1
| op(op(e0,e1),e1) != e0
| op(e1,e0) = op(e0,e1) )
& ( op(op(e0,e0),e0) = e0
| op(op(e0,e0),e0) != e0
| op(e0,e0) = op(e0,e0) )
& ( op(e4,e4) = e4
| op(e4,e4) != e4
| op(e4,e4) != e4 )
& ( op(e4,e3) = e4
| op(e3,e3) != e4
| op(e4,e4) != e3 )
& ( op(e4,e2) = e4
| op(e2,e2) != e4
| op(e4,e4) != e2 )
& ( op(e4,e1) = e4
| op(e1,e1) != e4
| op(e4,e4) != e1 )
& ( op(e4,e0) = e4
| op(e0,e0) != e4
| op(e4,e4) != e0 )
& ( op(e3,e4) = e3
| op(e4,e4) != e3
| op(e3,e3) != e4 )
& ( op(e3,e3) = e3
| op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e2) = e3
| op(e2,e2) != e3
| op(e3,e3) != e2 )
& ( op(e3,e1) = e3
| op(e1,e1) != e3
| op(e3,e3) != e1 )
& ( op(e3,e0) = e3
| op(e0,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e4) = e2
| op(e4,e4) != e2
| op(e2,e2) != e4 )
& ( op(e2,e3) = e2
| op(e3,e3) != e2
| op(e2,e2) != e3 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e1) = e2
| op(e1,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e0) = e2
| op(e0,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e4) = e1
| op(e4,e4) != e1
| op(e1,e1) != e4 )
& ( op(e1,e3) = e1
| op(e3,e3) != e1
| op(e1,e1) != e3 )
& ( op(e1,e2) = e1
| op(e2,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e0) = e1
| op(e0,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e4) = e0
| op(e4,e4) != e0
| op(e0,e0) != e4 )
& ( op(e0,e3) = e0
| op(e3,e3) != e0
| op(e0,e0) != e3 )
& ( op(e0,e2) = e0
| op(e2,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e1) = e0
| op(e1,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( ( ( e4 = unit
| op(e4,e4) != e4 )
& op(e4,e4) = e4 )
| sP7_prd )
& ( ( ( e3 = unit
| op(e4,e3) != e4 )
& op(e4,e4) = e3 )
| sP6_prd )
& ( ( ( e2 = unit
| op(e4,e2) != e4 )
& op(e4,e4) = e2 )
| sP5_prd )
& ( ( ( e1 = unit
| op(e4,e1) != e4 )
& op(e4,e4) = e1 )
| sP4_prd )
& ( ( ( e0 = unit
| op(e4,e0) != e4 )
& op(e4,e4) = e0 )
| sP3_prd )
& ( ( ( op(e4,op(e4,e4)) != e4
| op(e4,op(e4,e4)) = e4 )
& ( op(e4,op(e3,e4)) != e3
| op(e3,op(e3,e4)) = e4 )
& ( op(e4,op(e2,e4)) != e2
| op(e2,op(e2,e4)) = e4 )
& ( op(e4,op(e1,e4)) != e1
| op(e1,op(e1,e4)) = e4 )
& ( op(e4,op(e0,e4)) != e0
| op(e0,op(e0,e4)) = e4 ) )
| sP2_prd )
& ( ( op(e4,e4) != e4
& op(e4,e4) = e4 )
| sP1_prd )
& ( ( op(e4,e4) != e4
& op(e3,e3) != e4
& op(e2,e2) != e4
& op(e1,e1) != e4
& op(e0,e0) != e4 )
| sP0_prd ) ),
inference(formula_renaming,[status(thm)],[f206,f214,f213,f212,f211,f210,f209,f208,f207]) ).
fof(f216,plain,
( op(e0,e0) != e4
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f217,plain,
( op(e1,e1) != e4
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f218,plain,
( op(e2,e2) != e4
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f219,plain,
( op(e3,e3) != e4
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f221,plain,
( op(e4,e4) = e4
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f223,plain,
( op(e4,op(e0,e4)) != e0
| op(e0,op(e0,e4)) = e4
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f224,plain,
( op(e4,op(e1,e4)) != e1
| op(e1,op(e1,e4)) = e4
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f225,plain,
( op(e4,op(e2,e4)) != e2
| op(e2,op(e2,e4)) = e4
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f226,plain,
( op(e4,op(e3,e4)) != e3
| op(e3,op(e3,e4)) = e4
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f230,plain,
( op(e4,e4) = e1
| sP4_prd ),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f232,plain,
( op(e4,e4) = e2
| sP5_prd ),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f234,plain,
( op(e4,e4) = e3
| sP6_prd ),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f236,plain,
( op(e4,e4) = e4
| sP7_prd ),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f241,plain,
( op(e0,e3) = e0
| op(e3,e3) != e0
| op(e0,e0) != e3 ),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f242,plain,
( op(e0,e4) = e0
| op(e4,e4) != e0
| op(e0,e0) != e4 ),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f245,plain,
( op(e1,e2) = e1
| op(e2,e2) != e1
| op(e1,e1) != e2 ),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f246,plain,
( op(e1,e3) = e1
| op(e3,e3) != e1
| op(e1,e1) != e3 ),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f247,plain,
( op(e1,e4) = e1
| op(e4,e4) != e1
| op(e1,e1) != e4 ),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f251,plain,
( op(e2,e3) = e2
| op(e3,e3) != e2
| op(e2,e2) != e3 ),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f252,plain,
( op(e2,e4) = e2
| op(e4,e4) != e2
| op(e2,e2) != e4 ),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f257,plain,
( op(e3,e4) = e3
| op(e4,e4) != e3
| op(e3,e3) != e4 ),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f259,plain,
( op(e4,e1) = e4
| op(e1,e1) != e4
| op(e4,e4) != e1 ),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f261,plain,
( op(e4,e3) = e4
| op(e3,e3) != e4
| op(e4,e4) != e3 ),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f270,plain,
( op(op(e1,e2),e1) = e2
| op(op(e1,e2),e2) != e1
| op(e2,e1) = op(e1,e2) ),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f276,plain,
( op(op(e2,e3),e2) = e3
| op(op(e2,e3),e3) != e2
| op(e3,e2) = op(e2,e3) ),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f277,plain,
( op(op(e2,e4),e2) = e4
| op(op(e2,e4),e4) != e2
| op(e4,e2) = op(e2,e4) ),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f280,plain,
( op(op(e3,e2),e3) = e2
| op(op(e3,e2),e2) != e3
| op(e2,e3) = op(e3,e2) ),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f282,plain,
( op(op(e3,e4),e3) = e4
| op(op(e3,e4),e4) != e3
| op(e4,e3) = op(e3,e4) ),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f284,plain,
( op(op(e4,e1),e4) = e1
| op(op(e4,e1),e1) != e4
| op(e1,e4) = op(e4,e1) ),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f285,plain,
( op(op(e4,e2),e4) = e2
| op(op(e4,e2),e2) != e4
| op(e2,e4) = op(e4,e2) ),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f286,plain,
( op(op(e4,e3),e4) = e3
| op(op(e4,e3),e3) != e4
| op(e3,e4) = op(e4,e3) ),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f288,definition,
( sP8_prd
<=> ( ( op(e4,e4) != e2
& op(e3,e3) != e2
& op(e2,e2) != e2
& op(e1,e1) != e2
& op(e0,e0) != e2 )
| ( op(e4,e4) != e1
& op(e3,e3) != e1
& op(e2,e2) != e1
& op(e1,e1) != e1
& op(e0,e0) != e1 )
| ( op(e4,e4) != e0
& op(e3,e3) != e0
& op(e2,e2) != e0
& op(e1,e1) != e0
& op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP8_prd])],[]) ).
fof(f289,plain,
( sP0_prd
<=> ( ( op(e4,e4) != e3
& op(e3,e3) != e3
& op(e2,e2) != e3
& op(e1,e1) != e3
& op(e0,e0) != e3 )
| sP8_prd ) ),
inference(formula_renaming,[status(thm)],[f207,f288]) ).
fof(f290,plain,
( ( ( ( op(e4,e4) = e3
| op(e3,e3) = e3
| op(e2,e2) = e3
| op(e1,e1) = e3
| op(e0,e0) = e3 )
& ~ sP8_prd )
| sP0_prd )
& ( ( op(e4,e4) != e3
& op(e3,e3) != e3
& op(e2,e2) != e3
& op(e1,e1) != e3
& op(e0,e0) != e3 )
| sP8_prd
| ~ sP0_prd ) ),
inference(NNF_transformation,[status(thm)],[f289]) ).
fof(f291,plain,
( op(e0,e0) != e3
| sP8_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f290]) ).
fof(f292,plain,
( op(e1,e1) != e3
| sP8_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f290]) ).
fof(f293,plain,
( op(e2,e2) != e3
| sP8_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f290]) ).
fof(f295,plain,
( op(e4,e4) != e3
| sP8_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f290]) ).
fof(f296,plain,
( ~ sP8_prd
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f290]) ).
fof(f297,plain,
( op(e4,e4) = e3
| op(e3,e3) = e3
| op(e2,e2) = e3
| op(e1,e1) = e3
| op(e0,e0) = e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f290]) ).
fof(f298,definition,
( sP9_prd
<=> ( ( op(e4,e2) != e4
& op(e4,e4) = e2 )
| ( op(e4,e1) != e4
& op(e4,e4) = e1 )
| ( op(e4,e0) != e4
& op(e4,e4) = e0 )
| ( op(e3,e4) != e3
& op(e3,e3) = e4 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0 )
| ( op(e2,e4) != e2
& op(e2,e2) = e4 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0 )
| ( op(e1,e4) != e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP9_prd])],[]) ).
fof(f299,plain,
( sP1_prd
<=> ( ( op(e4,e3) != e4
& op(e4,e4) = e3 )
| sP9_prd ) ),
inference(formula_renaming,[status(thm)],[f208,f298]) ).
fof(f300,plain,
( ( ( ( op(e4,e3) = e4
| op(e4,e4) != e3 )
& ~ sP9_prd )
| sP1_prd )
& ( ( op(e4,e3) != e4
& op(e4,e4) = e3 )
| sP9_prd
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f299]) ).
fof(f301,plain,
( op(e4,e4) = e3
| sP9_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f300]) ).
fof(f305,definition,
( sP10_prd
<=> ( ( ( op(e2,op(e4,e2)) != e4
| op(e4,op(e4,e2)) = e2 )
& ( op(e2,op(e3,e2)) != e3
| op(e3,op(e3,e2)) = e2 )
& ( op(e2,op(e2,e2)) != e2
| op(e2,op(e2,e2)) = e2 )
& ( op(e2,op(e1,e2)) != e1
| op(e1,op(e1,e2)) = e2 )
& ( op(e2,op(e0,e2)) != e0
| op(e0,op(e0,e2)) = e2 ) )
| ( ( op(e1,op(e4,e1)) != e4
| op(e4,op(e4,e1)) = e1 )
& ( op(e1,op(e3,e1)) != e3
| op(e3,op(e3,e1)) = e1 )
& ( op(e1,op(e2,e1)) != e2
| op(e2,op(e2,e1)) = e1 )
& ( op(e1,op(e1,e1)) != e1
| op(e1,op(e1,e1)) = e1 )
& ( op(e1,op(e0,e1)) != e0
| op(e0,op(e0,e1)) = e1 ) )
| ( ( op(e0,op(e4,e0)) != e4
| op(e4,op(e4,e0)) = e0 )
& ( op(e0,op(e3,e0)) != e3
| op(e3,op(e3,e0)) = e0 )
& ( op(e0,op(e2,e0)) != e2
| op(e2,op(e2,e0)) = e0 )
& ( op(e0,op(e1,e0)) != e1
| op(e1,op(e1,e0)) = e0 )
& ( op(e0,op(e0,e0)) != e0
| op(e0,op(e0,e0)) = e0 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP10_prd])],[]) ).
fof(f306,plain,
( sP2_prd
<=> ( ( ( op(e3,op(e4,e3)) != e4
| op(e4,op(e4,e3)) = e3 )
& ( op(e3,op(e3,e3)) != e3
| op(e3,op(e3,e3)) = e3 )
& ( op(e3,op(e2,e3)) != e2
| op(e2,op(e2,e3)) = e3 )
& ( op(e3,op(e1,e3)) != e1
| op(e1,op(e1,e3)) = e3 )
& ( op(e3,op(e0,e3)) != e0
| op(e0,op(e0,e3)) = e3 ) )
| sP10_prd ) ),
inference(formula_renaming,[status(thm)],[f209,f305]) ).
fof(f307,definition,
( sP11_prd
<=> ( ( op(e3,op(e3,e3)) != e3
| op(e3,op(e3,e3)) = e3 )
& ( op(e3,op(e2,e3)) != e2
| op(e2,op(e2,e3)) = e3 )
& ( op(e3,op(e1,e3)) != e1
| op(e1,op(e1,e3)) = e3 )
& ( op(e3,op(e0,e3)) != e0
| op(e0,op(e0,e3)) = e3 ) ) ),
introduced(definition,[new_symbols(definition,[sP11_prd])],[]) ).
fof(f308,plain,
( sP2_prd
<=> ( ( ( op(e3,op(e4,e3)) != e4
| op(e4,op(e4,e3)) = e3 )
& sP11_prd )
| sP10_prd ) ),
inference(formula_renaming,[status(thm)],[f306,f307]) ).
fof(f309,plain,
( ( ( ( ( op(e3,op(e4,e3)) = e4
& op(e4,op(e4,e3)) != e3 )
| ~ sP11_prd )
& ~ sP10_prd )
| sP2_prd )
& ( ( ( op(e3,op(e4,e3)) != e4
| op(e4,op(e4,e3)) = e3 )
& sP11_prd )
| sP10_prd
| ~ sP2_prd ) ),
inference(NNF_transformation,[status(thm)],[f308]) ).
fof(f310,plain,
( sP11_prd
| sP10_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f309]) ).
fof(f311,plain,
( op(e3,op(e4,e3)) != e4
| op(e4,op(e4,e3)) = e3
| sP10_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f309]) ).
fof(f312,plain,
( ~ sP10_prd
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f309]) ).
fof(f315,definition,
( sP12_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,[sP12_prd])],[]) ).
fof(f316,plain,
( sP3_prd
<=> ( ( ( e0 = unit
| op(e4,e0) != e3 )
& op(e4,e3) = e0 )
| sP12_prd ) ),
inference(formula_renaming,[status(thm)],[f210,f315]) ).
fof(f317,plain,
( ( ( ( ( e0 != unit
& op(e4,e0) = e3 )
| op(e4,e3) != e0 )
& ~ sP12_prd )
| sP3_prd )
& ( ( ( e0 = unit
| op(e4,e0) != e3 )
& op(e4,e3) = e0 )
| sP12_prd
| ~ sP3_prd ) ),
inference(NNF_transformation,[status(thm)],[f316]) ).
fof(f320,plain,
( ~ sP12_prd
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f317]) ).
fof(f323,definition,
( sP13_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,[sP13_prd])],[]) ).
fof(f324,plain,
( sP4_prd
<=> ( ( ( e1 = unit
| op(e4,e1) != e3 )
& op(e4,e3) = e1 )
| sP13_prd ) ),
inference(formula_renaming,[status(thm)],[f211,f323]) ).
fof(f325,plain,
( ( ( ( ( e1 != unit
& op(e4,e1) = e3 )
| op(e4,e3) != e1 )
& ~ sP13_prd )
| sP4_prd )
& ( ( ( e1 = unit
| op(e4,e1) != e3 )
& op(e4,e3) = e1 )
| sP13_prd
| ~ sP4_prd ) ),
inference(NNF_transformation,[status(thm)],[f324]) ).
fof(f326,plain,
( op(e4,e3) = e1
| sP13_prd
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f325]) ).
fof(f327,plain,
( e1 = unit
| op(e4,e1) != e3
| sP13_prd
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f325]) ).
fof(f328,plain,
( ~ sP13_prd
| sP4_prd ),
inference(cnf_transformation,[status(thm)],[f325]) ).
fof(f329,plain,
( op(e4,e1) = e3
| op(e4,e3) != e1
| sP4_prd ),
inference(cnf_transformation,[status(thm)],[f325]) ).
fof(f331,definition,
( sP14_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,[sP14_prd])],[]) ).
fof(f332,plain,
( sP5_prd
<=> ( ( ( e2 = unit
| op(e4,e2) != e3 )
& op(e4,e3) = e2 )
| sP14_prd ) ),
inference(formula_renaming,[status(thm)],[f212,f331]) ).
fof(f333,plain,
( ( ( ( ( e2 != unit
& op(e4,e2) = e3 )
| op(e4,e3) != e2 )
& ~ sP14_prd )
| sP5_prd )
& ( ( ( e2 = unit
| op(e4,e2) != e3 )
& op(e4,e3) = e2 )
| sP14_prd
| ~ sP5_prd ) ),
inference(NNF_transformation,[status(thm)],[f332]) ).
fof(f334,plain,
( op(e4,e3) = e2
| sP14_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f333]) ).
fof(f335,plain,
( e2 = unit
| op(e4,e2) != e3
| sP14_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f333]) ).
fof(f336,plain,
( ~ sP14_prd
| sP5_prd ),
inference(cnf_transformation,[status(thm)],[f333]) ).
fof(f339,definition,
( sP15_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,[sP15_prd])],[]) ).
fof(f340,plain,
( sP6_prd
<=> ( ( ( e3 = unit
| op(e4,e3) != e3 )
& op(e4,e3) = e3 )
| sP15_prd ) ),
inference(formula_renaming,[status(thm)],[f213,f339]) ).
fof(f341,plain,
( ( ( ( ( e3 != unit
& op(e4,e3) = e3 )
| op(e4,e3) != e3 )
& ~ sP15_prd )
| sP6_prd )
& ( ( ( e3 = unit
| op(e4,e3) != e3 )
& op(e4,e3) = e3 )
| sP15_prd
| ~ sP6_prd ) ),
inference(NNF_transformation,[status(thm)],[f340]) ).
fof(f342,plain,
( op(e4,e3) = e3
| sP15_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f341]) ).
fof(f344,plain,
( ~ sP15_prd
| sP6_prd ),
inference(cnf_transformation,[status(thm)],[f341]) ).
fof(f347,definition,
( sP16_prd
<=> ( ( ( 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 ) ) ),
introduced(definition,[new_symbols(definition,[sP16_prd])],[]) ).
fof(f348,plain,
( sP7_prd
<=> ( ( ( e4 = unit
| op(e4,e4) != e3 )
& op(e4,e3) = e4 )
| sP16_prd ) ),
inference(formula_renaming,[status(thm)],[f214,f347]) ).
fof(f349,plain,
( ( ( ( ( e4 != unit
& op(e4,e4) = e3 )
| op(e4,e3) != e4 )
& ~ sP16_prd )
| sP7_prd )
& ( ( ( e4 = unit
| op(e4,e4) != e3 )
& op(e4,e3) = e4 )
| sP16_prd
| ~ sP7_prd ) ),
inference(NNF_transformation,[status(thm)],[f348]) ).
fof(f350,plain,
( op(e4,e3) = e4
| sP16_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f349]) ).
fof(f351,plain,
( e4 = unit
| op(e4,e4) != e3
| sP16_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f349]) ).
fof(f355,definition,
( sP17_prd
<=> ( ( op(e4,e4) != e1
& op(e3,e3) != e1
& op(e2,e2) != e1
& op(e1,e1) != e1
& op(e0,e0) != e1 )
| ( op(e4,e4) != e0
& op(e3,e3) != e0
& op(e2,e2) != e0
& op(e1,e1) != e0
& op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP17_prd])],[]) ).
fof(f356,plain,
( sP8_prd
<=> ( ( op(e4,e4) != e2
& op(e3,e3) != e2
& op(e2,e2) != e2
& op(e1,e1) != e2
& op(e0,e0) != e2 )
| sP17_prd ) ),
inference(formula_renaming,[status(thm)],[f288,f355]) ).
fof(f357,plain,
( ( ( ( op(e4,e4) = e2
| op(e3,e3) = e2
| op(e2,e2) = e2
| op(e1,e1) = e2
| op(e0,e0) = e2 )
& ~ sP17_prd )
| sP8_prd )
& ( ( op(e4,e4) != e2
& op(e3,e3) != e2
& op(e2,e2) != e2
& op(e1,e1) != e2
& op(e0,e0) != e2 )
| sP17_prd
| ~ sP8_prd ) ),
inference(NNF_transformation,[status(thm)],[f356]) ).
fof(f359,plain,
( op(e1,e1) != e2
| sP17_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f357]) ).
fof(f361,plain,
( op(e3,e3) != e2
| sP17_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f357]) ).
fof(f362,plain,
( op(e4,e4) != e2
| sP17_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f357]) ).
fof(f363,plain,
( ~ sP17_prd
| sP8_prd ),
inference(cnf_transformation,[status(thm)],[f357]) ).
fof(f364,plain,
( op(e4,e4) = e2
| op(e3,e3) = e2
| op(e2,e2) = e2
| op(e1,e1) = e2
| op(e0,e0) = e2
| sP8_prd ),
inference(cnf_transformation,[status(thm)],[f357]) ).
fof(f365,definition,
( sP18_prd
<=> ( ( op(e4,e1) != e4
& op(e4,e4) = e1 )
| ( op(e4,e0) != e4
& op(e4,e4) = e0 )
| ( op(e3,e4) != e3
& op(e3,e3) = e4 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0 )
| ( op(e2,e4) != e2
& op(e2,e2) = e4 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0 )
| ( op(e1,e4) != e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP18_prd])],[]) ).
fof(f366,plain,
( sP9_prd
<=> ( ( op(e4,e2) != e4
& op(e4,e4) = e2 )
| sP18_prd ) ),
inference(formula_renaming,[status(thm)],[f298,f365]) ).
fof(f367,plain,
( ( ( ( op(e4,e2) = e4
| op(e4,e4) != e2 )
& ~ sP18_prd )
| sP9_prd )
& ( ( op(e4,e2) != e4
& op(e4,e4) = e2 )
| sP18_prd
| ~ sP9_prd ) ),
inference(NNF_transformation,[status(thm)],[f366]) ).
fof(f368,plain,
( op(e4,e4) = e2
| sP18_prd
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f367]) ).
fof(f370,plain,
( ~ sP18_prd
| sP9_prd ),
inference(cnf_transformation,[status(thm)],[f367]) ).
fof(f372,definition,
( sP19_prd
<=> ( ( ( op(e1,op(e4,e1)) != e4
| op(e4,op(e4,e1)) = e1 )
& ( op(e1,op(e3,e1)) != e3
| op(e3,op(e3,e1)) = e1 )
& ( op(e1,op(e2,e1)) != e2
| op(e2,op(e2,e1)) = e1 )
& ( op(e1,op(e1,e1)) != e1
| op(e1,op(e1,e1)) = e1 )
& ( op(e1,op(e0,e1)) != e0
| op(e0,op(e0,e1)) = e1 ) )
| ( ( op(e0,op(e4,e0)) != e4
| op(e4,op(e4,e0)) = e0 )
& ( op(e0,op(e3,e0)) != e3
| op(e3,op(e3,e0)) = e0 )
& ( op(e0,op(e2,e0)) != e2
| op(e2,op(e2,e0)) = e0 )
& ( op(e0,op(e1,e0)) != e1
| op(e1,op(e1,e0)) = e0 )
& ( op(e0,op(e0,e0)) != e0
| op(e0,op(e0,e0)) = e0 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP19_prd])],[]) ).
fof(f373,plain,
( sP10_prd
<=> ( ( ( op(e2,op(e4,e2)) != e4
| op(e4,op(e4,e2)) = e2 )
& ( op(e2,op(e3,e2)) != e3
| op(e3,op(e3,e2)) = e2 )
& ( op(e2,op(e2,e2)) != e2
| op(e2,op(e2,e2)) = e2 )
& ( op(e2,op(e1,e2)) != e1
| op(e1,op(e1,e2)) = e2 )
& ( op(e2,op(e0,e2)) != e0
| op(e0,op(e0,e2)) = e2 ) )
| sP19_prd ) ),
inference(formula_renaming,[status(thm)],[f305,f372]) ).
fof(f374,definition,
( sP20_prd
<=> ( ( op(e2,op(e3,e2)) != e3
| op(e3,op(e3,e2)) = e2 )
& ( op(e2,op(e2,e2)) != e2
| op(e2,op(e2,e2)) = e2 )
& ( op(e2,op(e1,e2)) != e1
| op(e1,op(e1,e2)) = e2 )
& ( op(e2,op(e0,e2)) != e0
| op(e0,op(e0,e2)) = e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP20_prd])],[]) ).
fof(f375,plain,
( sP10_prd
<=> ( ( ( op(e2,op(e4,e2)) != e4
| op(e4,op(e4,e2)) = e2 )
& sP20_prd )
| sP19_prd ) ),
inference(formula_renaming,[status(thm)],[f373,f374]) ).
fof(f376,plain,
( ( ( ( ( op(e2,op(e4,e2)) = e4
& op(e4,op(e4,e2)) != e2 )
| ~ sP20_prd )
& ~ sP19_prd )
| sP10_prd )
& ( ( ( op(e2,op(e4,e2)) != e4
| op(e4,op(e4,e2)) = e2 )
& sP20_prd )
| sP19_prd
| ~ sP10_prd ) ),
inference(NNF_transformation,[status(thm)],[f375]) ).
fof(f377,plain,
( sP20_prd
| sP19_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f376]) ).
fof(f378,plain,
( op(e2,op(e4,e2)) != e4
| op(e4,op(e4,e2)) = e2
| sP19_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f376]) ).
fof(f379,plain,
( ~ sP19_prd
| sP10_prd ),
inference(cnf_transformation,[status(thm)],[f376]) ).
fof(f380,plain,
( op(e4,op(e4,e2)) != e2
| ~ sP20_prd
| sP10_prd ),
inference(cnf_transformation,[status(thm)],[f376]) ).
fof(f382,definition,
( sP21_prd
<=> ( ( op(e3,op(e2,e3)) != e2
| op(e2,op(e2,e3)) = e3 )
& ( op(e3,op(e1,e3)) != e1
| op(e1,op(e1,e3)) = e3 )
& ( op(e3,op(e0,e3)) != e0
| op(e0,op(e0,e3)) = e3 ) ) ),
introduced(definition,[new_symbols(definition,[sP21_prd])],[]) ).
fof(f383,plain,
( sP11_prd
<=> ( ( op(e3,op(e3,e3)) != e3
| op(e3,op(e3,e3)) = e3 )
& sP21_prd ) ),
inference(formula_renaming,[status(thm)],[f307,f382]) ).
fof(f384,plain,
( ( ( op(e3,op(e3,e3)) = e3
& op(e3,op(e3,e3)) != e3 )
| ~ sP21_prd
| sP11_prd )
& ( ( ( op(e3,op(e3,e3)) != e3
| op(e3,op(e3,e3)) = e3 )
& sP21_prd )
| ~ sP11_prd ) ),
inference(NNF_transformation,[status(thm)],[f383]) ).
fof(f385,plain,
( sP21_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f384]) ).
fof(f387,plain,
( op(e3,op(e3,e3)) != e3
| ~ sP21_prd
| sP11_prd ),
inference(cnf_transformation,[status(thm)],[f384]) ).
fof(f388,plain,
( op(e3,op(e3,e3)) = e3
| ~ sP21_prd
| sP11_prd ),
inference(cnf_transformation,[status(thm)],[f384]) ).
fof(f389,definition,
( sP22_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,[sP22_prd])],[]) ).
fof(f390,plain,
( sP12_prd
<=> ( ( ( e0 = unit
| op(e4,e0) != e2 )
& op(e4,e2) = e0 )
| sP22_prd ) ),
inference(formula_renaming,[status(thm)],[f315,f389]) ).
fof(f391,plain,
( ( ( ( ( e0 != unit
& op(e4,e0) = e2 )
| op(e4,e2) != e0 )
& ~ sP22_prd )
| sP12_prd )
& ( ( ( e0 = unit
| op(e4,e0) != e2 )
& op(e4,e2) = e0 )
| sP22_prd
| ~ sP12_prd ) ),
inference(NNF_transformation,[status(thm)],[f390]) ).
fof(f394,plain,
( ~ sP22_prd
| sP12_prd ),
inference(cnf_transformation,[status(thm)],[f391]) ).
fof(f397,definition,
( sP23_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,[sP23_prd])],[]) ).
fof(f398,plain,
( sP13_prd
<=> ( ( ( e1 = unit
| op(e4,e1) != e2 )
& op(e4,e2) = e1 )
| sP23_prd ) ),
inference(formula_renaming,[status(thm)],[f323,f397]) ).
fof(f399,plain,
( ( ( ( ( e1 != unit
& op(e4,e1) = e2 )
| op(e4,e2) != e1 )
& ~ sP23_prd )
| sP13_prd )
& ( ( ( e1 = unit
| op(e4,e1) != e2 )
& op(e4,e2) = e1 )
| sP23_prd
| ~ sP13_prd ) ),
inference(NNF_transformation,[status(thm)],[f398]) ).
fof(f400,plain,
( op(e4,e2) = e1
| sP23_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f399]) ).
fof(f401,plain,
( e1 = unit
| op(e4,e1) != e2
| sP23_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f399]) ).
fof(f402,plain,
( ~ sP23_prd
| sP13_prd ),
inference(cnf_transformation,[status(thm)],[f399]) ).
fof(f405,definition,
( sP24_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,[sP24_prd])],[]) ).
fof(f406,plain,
( sP14_prd
<=> ( ( ( e2 = unit
| op(e4,e2) != e2 )
& op(e4,e2) = e2 )
| sP24_prd ) ),
inference(formula_renaming,[status(thm)],[f331,f405]) ).
fof(f407,plain,
( ( ( ( ( e2 != unit
& op(e4,e2) = e2 )
| op(e4,e2) != e2 )
& ~ sP24_prd )
| sP14_prd )
& ( ( ( e2 = unit
| op(e4,e2) != e2 )
& op(e4,e2) = e2 )
| sP24_prd
| ~ sP14_prd ) ),
inference(NNF_transformation,[status(thm)],[f406]) ).
fof(f408,plain,
( op(e4,e2) = e2
| sP24_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f407]) ).
fof(f410,plain,
( ~ sP24_prd
| sP14_prd ),
inference(cnf_transformation,[status(thm)],[f407]) ).
fof(f413,definition,
( sP25_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,[sP25_prd])],[]) ).
fof(f414,plain,
( sP15_prd
<=> ( ( ( e3 = unit
| op(e4,e3) != e2 )
& op(e4,e2) = e3 )
| sP25_prd ) ),
inference(formula_renaming,[status(thm)],[f339,f413]) ).
fof(f415,plain,
( ( ( ( ( e3 != unit
& op(e4,e3) = e2 )
| op(e4,e2) != e3 )
& ~ sP25_prd )
| sP15_prd )
& ( ( ( e3 = unit
| op(e4,e3) != e2 )
& op(e4,e2) = e3 )
| sP25_prd
| ~ sP15_prd ) ),
inference(NNF_transformation,[status(thm)],[f414]) ).
fof(f416,plain,
( op(e4,e2) = e3
| sP25_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f415]) ).
fof(f417,plain,
( e3 = unit
| op(e4,e3) != e2
| sP25_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f415]) ).
fof(f418,plain,
( ~ sP25_prd
| sP15_prd ),
inference(cnf_transformation,[status(thm)],[f415]) ).
fof(f421,definition,
( sP26_prd
<=> ( ( ( 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 ) ) ),
introduced(definition,[new_symbols(definition,[sP26_prd])],[]) ).
fof(f422,plain,
( sP16_prd
<=> ( ( ( e4 = unit
| op(e4,e4) != e2 )
& op(e4,e2) = e4 )
| sP26_prd ) ),
inference(formula_renaming,[status(thm)],[f347,f421]) ).
fof(f423,plain,
( ( ( ( ( e4 != unit
& op(e4,e4) = e2 )
| op(e4,e2) != e4 )
& ~ sP26_prd )
| sP16_prd )
& ( ( ( e4 = unit
| op(e4,e4) != e2 )
& op(e4,e2) = e4 )
| sP26_prd
| ~ sP16_prd ) ),
inference(NNF_transformation,[status(thm)],[f422]) ).
fof(f424,plain,
( op(e4,e2) = e4
| sP26_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f423]) ).
fof(f426,plain,
( ~ sP26_prd
| sP16_prd ),
inference(cnf_transformation,[status(thm)],[f423]) ).
fof(f429,definition,
( sP27_prd
<=> ( op(e4,e4) != e0
& op(e3,e3) != e0
& op(e2,e2) != e0
& op(e1,e1) != e0
& op(e0,e0) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP27_prd])],[]) ).
fof(f430,plain,
( sP17_prd
<=> ( ( op(e4,e4) != e1
& op(e3,e3) != e1
& op(e2,e2) != e1
& op(e1,e1) != e1
& op(e0,e0) != e1 )
| sP27_prd ) ),
inference(formula_renaming,[status(thm)],[f355,f429]) ).
fof(f431,plain,
( ( ( ( op(e4,e4) = e1
| op(e3,e3) = e1
| op(e2,e2) = e1
| op(e1,e1) = e1
| op(e0,e0) = e1 )
& ~ sP27_prd )
| sP17_prd )
& ( ( op(e4,e4) != e1
& op(e3,e3) != e1
& op(e2,e2) != e1
& op(e1,e1) != e1
& op(e0,e0) != e1 )
| sP27_prd
| ~ sP17_prd ) ),
inference(NNF_transformation,[status(thm)],[f430]) ).
fof(f434,plain,
( op(e2,e2) != e1
| sP27_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f431]) ).
fof(f435,plain,
( op(e3,e3) != e1
| sP27_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f431]) ).
fof(f436,plain,
( op(e4,e4) != e1
| sP27_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f431]) ).
fof(f438,plain,
( op(e4,e4) = e1
| op(e3,e3) = e1
| op(e2,e2) = e1
| op(e1,e1) = e1
| op(e0,e0) = e1
| sP17_prd ),
inference(cnf_transformation,[status(thm)],[f431]) ).
fof(f439,definition,
( sP28_prd
<=> ( ( op(e4,e0) != e4
& op(e4,e4) = e0 )
| ( op(e3,e4) != e3
& op(e3,e3) = e4 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0 )
| ( op(e2,e4) != e2
& op(e2,e2) = e4 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0 )
| ( op(e1,e4) != e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP28_prd])],[]) ).
fof(f440,plain,
( sP18_prd
<=> ( ( op(e4,e1) != e4
& op(e4,e4) = e1 )
| sP28_prd ) ),
inference(formula_renaming,[status(thm)],[f365,f439]) ).
fof(f441,plain,
( ( ( ( op(e4,e1) = e4
| op(e4,e4) != e1 )
& ~ sP28_prd )
| sP18_prd )
& ( ( op(e4,e1) != e4
& op(e4,e4) = e1 )
| sP28_prd
| ~ sP18_prd ) ),
inference(NNF_transformation,[status(thm)],[f440]) ).
fof(f442,plain,
( op(e4,e4) = e1
| sP28_prd
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f441]) ).
fof(f444,plain,
( ~ sP28_prd
| sP18_prd ),
inference(cnf_transformation,[status(thm)],[f441]) ).
fof(f446,definition,
( sP29_prd
<=> ( ( op(e0,op(e4,e0)) != e4
| op(e4,op(e4,e0)) = e0 )
& ( op(e0,op(e3,e0)) != e3
| op(e3,op(e3,e0)) = e0 )
& ( op(e0,op(e2,e0)) != e2
| op(e2,op(e2,e0)) = e0 )
& ( op(e0,op(e1,e0)) != e1
| op(e1,op(e1,e0)) = e0 )
& ( op(e0,op(e0,e0)) != e0
| op(e0,op(e0,e0)) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP29_prd])],[]) ).
fof(f447,plain,
( sP19_prd
<=> ( ( ( op(e1,op(e4,e1)) != e4
| op(e4,op(e4,e1)) = e1 )
& ( op(e1,op(e3,e1)) != e3
| op(e3,op(e3,e1)) = e1 )
& ( op(e1,op(e2,e1)) != e2
| op(e2,op(e2,e1)) = e1 )
& ( op(e1,op(e1,e1)) != e1
| op(e1,op(e1,e1)) = e1 )
& ( op(e1,op(e0,e1)) != e0
| op(e0,op(e0,e1)) = e1 ) )
| sP29_prd ) ),
inference(formula_renaming,[status(thm)],[f372,f446]) ).
fof(f448,definition,
( sP30_prd
<=> ( ( op(e1,op(e3,e1)) != e3
| op(e3,op(e3,e1)) = e1 )
& ( op(e1,op(e2,e1)) != e2
| op(e2,op(e2,e1)) = e1 )
& ( op(e1,op(e1,e1)) != e1
| op(e1,op(e1,e1)) = e1 )
& ( op(e1,op(e0,e1)) != e0
| op(e0,op(e0,e1)) = e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP30_prd])],[]) ).
fof(f449,plain,
( sP19_prd
<=> ( ( ( op(e1,op(e4,e1)) != e4
| op(e4,op(e4,e1)) = e1 )
& sP30_prd )
| sP29_prd ) ),
inference(formula_renaming,[status(thm)],[f447,f448]) ).
fof(f450,plain,
( ( ( ( ( op(e1,op(e4,e1)) = e4
& op(e4,op(e4,e1)) != e1 )
| ~ sP30_prd )
& ~ sP29_prd )
| sP19_prd )
& ( ( ( op(e1,op(e4,e1)) != e4
| op(e4,op(e4,e1)) = e1 )
& sP30_prd )
| sP29_prd
| ~ sP19_prd ) ),
inference(NNF_transformation,[status(thm)],[f449]) ).
fof(f451,plain,
( sP30_prd
| sP29_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f450]) ).
fof(f452,plain,
( op(e1,op(e4,e1)) != e4
| op(e4,op(e4,e1)) = e1
| sP29_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f450]) ).
fof(f453,plain,
( ~ sP29_prd
| sP19_prd ),
inference(cnf_transformation,[status(thm)],[f450]) ).
fof(f454,plain,
( op(e4,op(e4,e1)) != e1
| ~ sP30_prd
| sP19_prd ),
inference(cnf_transformation,[status(thm)],[f450]) ).
fof(f455,plain,
( op(e1,op(e4,e1)) = e4
| ~ sP30_prd
| sP19_prd ),
inference(cnf_transformation,[status(thm)],[f450]) ).
fof(f456,definition,
( sP31_prd
<=> ( ( op(e2,op(e2,e2)) != e2
| op(e2,op(e2,e2)) = e2 )
& ( op(e2,op(e1,e2)) != e1
| op(e1,op(e1,e2)) = e2 )
& ( op(e2,op(e0,e2)) != e0
| op(e0,op(e0,e2)) = e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP31_prd])],[]) ).
fof(f457,plain,
( sP20_prd
<=> ( ( op(e2,op(e3,e2)) != e3
| op(e3,op(e3,e2)) = e2 )
& sP31_prd ) ),
inference(formula_renaming,[status(thm)],[f374,f456]) ).
fof(f458,plain,
( ( ( op(e2,op(e3,e2)) = e3
& op(e3,op(e3,e2)) != e2 )
| ~ sP31_prd
| sP20_prd )
& ( ( ( op(e2,op(e3,e2)) != e3
| op(e3,op(e3,e2)) = e2 )
& sP31_prd )
| ~ sP20_prd ) ),
inference(NNF_transformation,[status(thm)],[f457]) ).
fof(f459,plain,
( sP31_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f458]) ).
fof(f460,plain,
( op(e2,op(e3,e2)) != e3
| op(e3,op(e3,e2)) = e2
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f458]) ).
fof(f461,plain,
( op(e3,op(e3,e2)) != e2
| ~ sP31_prd
| sP20_prd ),
inference(cnf_transformation,[status(thm)],[f458]) ).
fof(f462,plain,
( op(e2,op(e3,e2)) = e3
| ~ sP31_prd
| sP20_prd ),
inference(cnf_transformation,[status(thm)],[f458]) ).
fof(f463,definition,
( sP32_prd
<=> ( ( op(e3,op(e1,e3)) != e1
| op(e1,op(e1,e3)) = e3 )
& ( op(e3,op(e0,e3)) != e0
| op(e0,op(e0,e3)) = e3 ) ) ),
introduced(definition,[new_symbols(definition,[sP32_prd])],[]) ).
fof(f464,plain,
( sP21_prd
<=> ( ( op(e3,op(e2,e3)) != e2
| op(e2,op(e2,e3)) = e3 )
& sP32_prd ) ),
inference(formula_renaming,[status(thm)],[f382,f463]) ).
fof(f465,plain,
( ( ( op(e3,op(e2,e3)) = e2
& op(e2,op(e2,e3)) != e3 )
| ~ sP32_prd
| sP21_prd )
& ( ( ( op(e3,op(e2,e3)) != e2
| op(e2,op(e2,e3)) = e3 )
& sP32_prd )
| ~ sP21_prd ) ),
inference(NNF_transformation,[status(thm)],[f464]) ).
fof(f466,plain,
( sP32_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f465]) ).
fof(f467,plain,
( op(e3,op(e2,e3)) != e2
| op(e2,op(e2,e3)) = e3
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f465]) ).
fof(f469,plain,
( op(e3,op(e2,e3)) = e2
| ~ sP32_prd
| sP21_prd ),
inference(cnf_transformation,[status(thm)],[f465]) ).
fof(f470,definition,
( sP33_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,[sP33_prd])],[]) ).
fof(f471,plain,
( sP22_prd
<=> ( ( ( e0 = unit
| op(e4,e0) != e1 )
& op(e4,e1) = e0 )
| sP33_prd ) ),
inference(formula_renaming,[status(thm)],[f389,f470]) ).
fof(f472,plain,
( ( ( ( ( e0 != unit
& op(e4,e0) = e1 )
| op(e4,e1) != e0 )
& ~ sP33_prd )
| sP22_prd )
& ( ( ( e0 = unit
| op(e4,e0) != e1 )
& op(e4,e1) = e0 )
| sP33_prd
| ~ sP22_prd ) ),
inference(NNF_transformation,[status(thm)],[f471]) ).
fof(f475,plain,
( ~ sP33_prd
| sP22_prd ),
inference(cnf_transformation,[status(thm)],[f472]) ).
fof(f478,definition,
( sP34_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,[sP34_prd])],[]) ).
fof(f479,plain,
( sP23_prd
<=> ( ( ( e1 = unit
| op(e4,e1) != e1 )
& op(e4,e1) = e1 )
| sP34_prd ) ),
inference(formula_renaming,[status(thm)],[f397,f478]) ).
fof(f480,plain,
( ( ( ( ( e1 != unit
& op(e4,e1) = e1 )
| op(e4,e1) != e1 )
& ~ sP34_prd )
| sP23_prd )
& ( ( ( e1 = unit
| op(e4,e1) != e1 )
& op(e4,e1) = e1 )
| sP34_prd
| ~ sP23_prd ) ),
inference(NNF_transformation,[status(thm)],[f479]) ).
fof(f481,plain,
( op(e4,e1) = e1
| sP34_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f480]) ).
fof(f483,plain,
( ~ sP34_prd
| sP23_prd ),
inference(cnf_transformation,[status(thm)],[f480]) ).
fof(f486,definition,
( sP35_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,[sP35_prd])],[]) ).
fof(f487,plain,
( sP24_prd
<=> ( ( ( e2 = unit
| op(e4,e2) != e1 )
& op(e4,e1) = e2 )
| sP35_prd ) ),
inference(formula_renaming,[status(thm)],[f405,f486]) ).
fof(f488,plain,
( ( ( ( ( e2 != unit
& op(e4,e2) = e1 )
| op(e4,e1) != e2 )
& ~ sP35_prd )
| sP24_prd )
& ( ( ( e2 = unit
| op(e4,e2) != e1 )
& op(e4,e1) = e2 )
| sP35_prd
| ~ sP24_prd ) ),
inference(NNF_transformation,[status(thm)],[f487]) ).
fof(f489,plain,
( op(e4,e1) = e2
| sP35_prd
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f488]) ).
fof(f490,plain,
( e2 = unit
| op(e4,e2) != e1
| sP35_prd
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f488]) ).
fof(f491,plain,
( ~ sP35_prd
| sP24_prd ),
inference(cnf_transformation,[status(thm)],[f488]) ).
fof(f494,definition,
( sP36_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,[sP36_prd])],[]) ).
fof(f495,plain,
( sP25_prd
<=> ( ( ( e3 = unit
| op(e4,e3) != e1 )
& op(e4,e1) = e3 )
| sP36_prd ) ),
inference(formula_renaming,[status(thm)],[f413,f494]) ).
fof(f496,plain,
( ( ( ( ( e3 != unit
& op(e4,e3) = e1 )
| op(e4,e1) != e3 )
& ~ sP36_prd )
| sP25_prd )
& ( ( ( e3 = unit
| op(e4,e3) != e1 )
& op(e4,e1) = e3 )
| sP36_prd
| ~ sP25_prd ) ),
inference(NNF_transformation,[status(thm)],[f495]) ).
fof(f497,plain,
( op(e4,e1) = e3
| sP36_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f496]) ).
fof(f498,plain,
( e3 = unit
| op(e4,e3) != e1
| sP36_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f496]) ).
fof(f499,plain,
( ~ sP36_prd
| sP25_prd ),
inference(cnf_transformation,[status(thm)],[f496]) ).
fof(f502,definition,
( sP37_prd
<=> ( ( ( 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 ) ) ),
introduced(definition,[new_symbols(definition,[sP37_prd])],[]) ).
fof(f503,plain,
( sP26_prd
<=> ( ( ( e4 = unit
| op(e4,e4) != e1 )
& op(e4,e1) = e4 )
| sP37_prd ) ),
inference(formula_renaming,[status(thm)],[f421,f502]) ).
fof(f504,plain,
( ( ( ( ( e4 != unit
& op(e4,e4) = e1 )
| op(e4,e1) != e4 )
& ~ sP37_prd )
| sP26_prd )
& ( ( ( e4 = unit
| op(e4,e4) != e1 )
& op(e4,e1) = e4 )
| sP37_prd
| ~ sP26_prd ) ),
inference(NNF_transformation,[status(thm)],[f503]) ).
fof(f505,plain,
( op(e4,e1) = e4
| sP37_prd
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f504]) ).
fof(f507,plain,
( ~ sP37_prd
| sP26_prd ),
inference(cnf_transformation,[status(thm)],[f504]) ).
fof(f510,plain,
( ( op(e4,e4) = e0
| op(e3,e3) = e0
| op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) = e0
| sP27_prd )
& ( ( op(e4,e4) != e0
& op(e3,e3) != e0
& op(e2,e2) != e0
& op(e1,e1) != e0
& op(e0,e0) != e0 )
| ~ sP27_prd ) ),
inference(NNF_transformation,[status(thm)],[f429]) ).
fof(f511,plain,
( op(e0,e0) != e0
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f510]) ).
fof(f517,definition,
( sP38_prd
<=> ( ( op(e3,e4) != e3
& op(e3,e3) = e4 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0 )
| ( op(e2,e4) != e2
& op(e2,e2) = e4 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0 )
| ( op(e1,e4) != e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP38_prd])],[]) ).
fof(f518,plain,
( sP28_prd
<=> ( ( op(e4,e0) != e4
& op(e4,e4) = e0 )
| sP38_prd ) ),
inference(formula_renaming,[status(thm)],[f439,f517]) ).
fof(f519,plain,
( ( ( ( op(e4,e0) = e4
| op(e4,e4) != e0 )
& ~ sP38_prd )
| sP28_prd )
& ( ( op(e4,e0) != e4
& op(e4,e4) = e0 )
| sP38_prd
| ~ sP28_prd ) ),
inference(NNF_transformation,[status(thm)],[f518]) ).
fof(f520,plain,
( op(e4,e4) = e0
| sP38_prd
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f519]) ).
fof(f521,plain,
( op(e4,e0) != e4
| sP38_prd
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f519]) ).
fof(f522,plain,
( ~ sP38_prd
| sP28_prd ),
inference(cnf_transformation,[status(thm)],[f519]) ).
fof(f524,definition,
( sP39_prd
<=> ( ( op(e0,op(e3,e0)) != e3
| op(e3,op(e3,e0)) = e0 )
& ( op(e0,op(e2,e0)) != e2
| op(e2,op(e2,e0)) = e0 )
& ( op(e0,op(e1,e0)) != e1
| op(e1,op(e1,e0)) = e0 )
& ( op(e0,op(e0,e0)) != e0
| op(e0,op(e0,e0)) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP39_prd])],[]) ).
fof(f525,plain,
( sP29_prd
<=> ( ( op(e0,op(e4,e0)) != e4
| op(e4,op(e4,e0)) = e0 )
& sP39_prd ) ),
inference(formula_renaming,[status(thm)],[f446,f524]) ).
fof(f526,plain,
( ( ( op(e0,op(e4,e0)) = e4
& op(e4,op(e4,e0)) != e0 )
| ~ sP39_prd
| sP29_prd )
& ( ( ( op(e0,op(e4,e0)) != e4
| op(e4,op(e4,e0)) = e0 )
& sP39_prd )
| ~ sP29_prd ) ),
inference(NNF_transformation,[status(thm)],[f525]) ).
fof(f527,plain,
( sP39_prd
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f526]) ).
fof(f531,definition,
( sP40_prd
<=> ( ( op(e1,op(e2,e1)) != e2
| op(e2,op(e2,e1)) = e1 )
& ( op(e1,op(e1,e1)) != e1
| op(e1,op(e1,e1)) = e1 )
& ( op(e1,op(e0,e1)) != e0
| op(e0,op(e0,e1)) = e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP40_prd])],[]) ).
fof(f532,plain,
( sP30_prd
<=> ( ( op(e1,op(e3,e1)) != e3
| op(e3,op(e3,e1)) = e1 )
& sP40_prd ) ),
inference(formula_renaming,[status(thm)],[f448,f531]) ).
fof(f533,plain,
( ( ( op(e1,op(e3,e1)) = e3
& op(e3,op(e3,e1)) != e1 )
| ~ sP40_prd
| sP30_prd )
& ( ( ( op(e1,op(e3,e1)) != e3
| op(e3,op(e3,e1)) = e1 )
& sP40_prd )
| ~ sP30_prd ) ),
inference(NNF_transformation,[status(thm)],[f532]) ).
fof(f534,plain,
( sP40_prd
| ~ sP30_prd ),
inference(cnf_transformation,[status(thm)],[f533]) ).
fof(f535,plain,
( op(e1,op(e3,e1)) != e3
| op(e3,op(e3,e1)) = e1
| ~ sP30_prd ),
inference(cnf_transformation,[status(thm)],[f533]) ).
fof(f536,plain,
( op(e3,op(e3,e1)) != e1
| ~ sP40_prd
| sP30_prd ),
inference(cnf_transformation,[status(thm)],[f533]) ).
fof(f537,plain,
( op(e1,op(e3,e1)) = e3
| ~ sP40_prd
| sP30_prd ),
inference(cnf_transformation,[status(thm)],[f533]) ).
fof(f538,definition,
( sP41_prd
<=> ( ( op(e2,op(e1,e2)) != e1
| op(e1,op(e1,e2)) = e2 )
& ( op(e2,op(e0,e2)) != e0
| op(e0,op(e0,e2)) = e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP41_prd])],[]) ).
fof(f539,plain,
( sP31_prd
<=> ( ( op(e2,op(e2,e2)) != e2
| op(e2,op(e2,e2)) = e2 )
& sP41_prd ) ),
inference(formula_renaming,[status(thm)],[f456,f538]) ).
fof(f540,plain,
( ( ( op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e2)) != e2 )
| ~ sP41_prd
| sP31_prd )
& ( ( ( op(e2,op(e2,e2)) != e2
| op(e2,op(e2,e2)) = e2 )
& sP41_prd )
| ~ sP31_prd ) ),
inference(NNF_transformation,[status(thm)],[f539]) ).
fof(f541,plain,
( sP41_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f540]) ).
fof(f543,plain,
( op(e2,op(e2,e2)) != e2
| ~ sP41_prd
| sP31_prd ),
inference(cnf_transformation,[status(thm)],[f540]) ).
fof(f544,plain,
( op(e2,op(e2,e2)) = e2
| ~ sP41_prd
| sP31_prd ),
inference(cnf_transformation,[status(thm)],[f540]) ).
fof(f545,plain,
( ( ( op(e3,op(e1,e3)) = e1
& op(e1,op(e1,e3)) != e3 )
| ( op(e3,op(e0,e3)) = e0
& op(e0,op(e0,e3)) != e3 )
| sP32_prd )
& ( ( ( op(e3,op(e1,e3)) != e1
| op(e1,op(e1,e3)) = e3 )
& ( op(e3,op(e0,e3)) != e0
| op(e0,op(e0,e3)) = e3 ) )
| ~ sP32_prd ) ),
inference(NNF_transformation,[status(thm)],[f463]) ).
fof(f547,plain,
( op(e3,op(e1,e3)) != e1
| op(e1,op(e1,e3)) = e3
| ~ sP32_prd ),
inference(cnf_transformation,[status(thm)],[f545]) ).
fof(f548,plain,
( op(e1,op(e1,e3)) != e3
| op(e0,op(e0,e3)) != e3
| sP32_prd ),
inference(cnf_transformation,[status(thm)],[f545]) ).
fof(f549,plain,
( op(e3,op(e1,e3)) = e1
| op(e0,op(e0,e3)) != e3
| sP32_prd ),
inference(cnf_transformation,[status(thm)],[f545]) ).
fof(f552,definition,
( sP42_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,[sP42_prd])],[]) ).
fof(f553,plain,
( sP33_prd
<=> ( ( ( e0 = unit
| op(e4,e0) != e0 )
& op(e4,e0) = e0 )
| sP42_prd ) ),
inference(formula_renaming,[status(thm)],[f470,f552]) ).
fof(f554,plain,
( ( ( ( ( e0 != unit
& op(e4,e0) = e0 )
| op(e4,e0) != e0 )
& ~ sP42_prd )
| sP33_prd )
& ( ( ( e0 = unit
| op(e4,e0) != e0 )
& op(e4,e0) = e0 )
| sP42_prd
| ~ sP33_prd ) ),
inference(NNF_transformation,[status(thm)],[f553]) ).
fof(f557,plain,
( ~ sP42_prd
| sP33_prd ),
inference(cnf_transformation,[status(thm)],[f554]) ).
fof(f560,definition,
( sP43_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,[sP43_prd])],[]) ).
fof(f561,plain,
( sP34_prd
<=> ( ( ( e1 = unit
| op(e4,e1) != e0 )
& op(e4,e0) = e1 )
| sP43_prd ) ),
inference(formula_renaming,[status(thm)],[f478,f560]) ).
fof(f562,plain,
( ( ( ( ( e1 != unit
& op(e4,e1) = e0 )
| op(e4,e0) != e1 )
& ~ sP43_prd )
| sP34_prd )
& ( ( ( e1 = unit
| op(e4,e1) != e0 )
& op(e4,e0) = e1 )
| sP43_prd
| ~ sP34_prd ) ),
inference(NNF_transformation,[status(thm)],[f561]) ).
fof(f563,plain,
( op(e4,e0) = e1
| sP43_prd
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f562]) ).
fof(f565,plain,
( ~ sP43_prd
| sP34_prd ),
inference(cnf_transformation,[status(thm)],[f562]) ).
fof(f568,definition,
( sP44_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,[sP44_prd])],[]) ).
fof(f569,plain,
( sP35_prd
<=> ( ( ( e2 = unit
| op(e4,e2) != e0 )
& op(e4,e0) = e2 )
| sP44_prd ) ),
inference(formula_renaming,[status(thm)],[f486,f568]) ).
fof(f570,plain,
( ( ( ( ( e2 != unit
& op(e4,e2) = e0 )
| op(e4,e0) != e2 )
& ~ sP44_prd )
| sP35_prd )
& ( ( ( e2 = unit
| op(e4,e2) != e0 )
& op(e4,e0) = e2 )
| sP44_prd
| ~ sP35_prd ) ),
inference(NNF_transformation,[status(thm)],[f569]) ).
fof(f571,plain,
( op(e4,e0) = e2
| sP44_prd
| ~ sP35_prd ),
inference(cnf_transformation,[status(thm)],[f570]) ).
fof(f573,plain,
( ~ sP44_prd
| sP35_prd ),
inference(cnf_transformation,[status(thm)],[f570]) ).
fof(f576,definition,
( sP45_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,[sP45_prd])],[]) ).
fof(f577,plain,
( sP36_prd
<=> ( ( ( e3 = unit
| op(e4,e3) != e0 )
& op(e4,e0) = e3 )
| sP45_prd ) ),
inference(formula_renaming,[status(thm)],[f494,f576]) ).
fof(f578,plain,
( ( ( ( ( e3 != unit
& op(e4,e3) = e0 )
| op(e4,e0) != e3 )
& ~ sP45_prd )
| sP36_prd )
& ( ( ( e3 = unit
| op(e4,e3) != e0 )
& op(e4,e0) = e3 )
| sP45_prd
| ~ sP36_prd ) ),
inference(NNF_transformation,[status(thm)],[f577]) ).
fof(f579,plain,
( op(e4,e0) = e3
| sP45_prd
| ~ sP36_prd ),
inference(cnf_transformation,[status(thm)],[f578]) ).
fof(f581,plain,
( ~ sP45_prd
| sP36_prd ),
inference(cnf_transformation,[status(thm)],[f578]) ).
fof(f584,definition,
( sP46_prd
<=> ( ( ( 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 ) ) ),
introduced(definition,[new_symbols(definition,[sP46_prd])],[]) ).
fof(f585,plain,
( sP37_prd
<=> ( ( ( e4 = unit
| op(e4,e4) != e0 )
& op(e4,e0) = e4 )
| sP46_prd ) ),
inference(formula_renaming,[status(thm)],[f502,f584]) ).
fof(f586,plain,
( ( ( ( ( e4 != unit
& op(e4,e4) = e0 )
| op(e4,e0) != e4 )
& ~ sP46_prd )
| sP37_prd )
& ( ( ( e4 = unit
| op(e4,e4) != e0 )
& op(e4,e0) = e4 )
| sP46_prd
| ~ sP37_prd ) ),
inference(NNF_transformation,[status(thm)],[f585]) ).
fof(f588,plain,
( e4 = unit
| op(e4,e4) != e0
| sP46_prd
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f586]) ).
fof(f589,plain,
( ~ sP46_prd
| sP37_prd ),
inference(cnf_transformation,[status(thm)],[f586]) ).
fof(f590,plain,
( op(e4,e4) = e0
| op(e4,e0) != e4
| sP37_prd ),
inference(cnf_transformation,[status(thm)],[f586]) ).
fof(f592,definition,
( sP47_prd
<=> ( ( op(e3,e3) != e3
& op(e3,e3) = e3 )
| ( op(e3,e2) != e3
& op(e3,e3) = e2 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0 )
| ( op(e2,e4) != e2
& op(e2,e2) = e4 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0 )
| ( op(e1,e4) != e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP47_prd])],[]) ).
fof(f593,plain,
( sP38_prd
<=> ( ( op(e3,e4) != e3
& op(e3,e3) = e4 )
| sP47_prd ) ),
inference(formula_renaming,[status(thm)],[f517,f592]) ).
fof(f594,plain,
( ( ( ( op(e3,e4) = e3
| op(e3,e3) != e4 )
& ~ sP47_prd )
| sP38_prd )
& ( ( op(e3,e4) != e3
& op(e3,e3) = e4 )
| sP47_prd
| ~ sP38_prd ) ),
inference(NNF_transformation,[status(thm)],[f593]) ).
fof(f595,plain,
( op(e3,e3) = e4
| sP47_prd
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f594]) ).
fof(f597,plain,
( ~ sP47_prd
| sP38_prd ),
inference(cnf_transformation,[status(thm)],[f594]) ).
fof(f599,definition,
( sP48_prd
<=> ( ( op(e0,op(e2,e0)) != e2
| op(e2,op(e2,e0)) = e0 )
& ( op(e0,op(e1,e0)) != e1
| op(e1,op(e1,e0)) = e0 )
& ( op(e0,op(e0,e0)) != e0
| op(e0,op(e0,e0)) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP48_prd])],[]) ).
fof(f600,plain,
( sP39_prd
<=> ( ( op(e0,op(e3,e0)) != e3
| op(e3,op(e3,e0)) = e0 )
& sP48_prd ) ),
inference(formula_renaming,[status(thm)],[f524,f599]) ).
fof(f601,plain,
( ( ( op(e0,op(e3,e0)) = e3
& op(e3,op(e3,e0)) != e0 )
| ~ sP48_prd
| sP39_prd )
& ( ( ( op(e0,op(e3,e0)) != e3
| op(e3,op(e3,e0)) = e0 )
& sP48_prd )
| ~ sP39_prd ) ),
inference(NNF_transformation,[status(thm)],[f600]) ).
fof(f602,plain,
( sP48_prd
| ~ sP39_prd ),
inference(cnf_transformation,[status(thm)],[f601]) ).
fof(f603,plain,
( op(e0,op(e3,e0)) != e3
| op(e3,op(e3,e0)) = e0
| ~ sP39_prd ),
inference(cnf_transformation,[status(thm)],[f601]) ).
fof(f606,definition,
( sP49_prd
<=> ( ( op(e1,op(e1,e1)) != e1
| op(e1,op(e1,e1)) = e1 )
& ( op(e1,op(e0,e1)) != e0
| op(e0,op(e0,e1)) = e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP49_prd])],[]) ).
fof(f607,plain,
( sP40_prd
<=> ( ( op(e1,op(e2,e1)) != e2
| op(e2,op(e2,e1)) = e1 )
& sP49_prd ) ),
inference(formula_renaming,[status(thm)],[f531,f606]) ).
fof(f608,plain,
( ( ( op(e1,op(e2,e1)) = e2
& op(e2,op(e2,e1)) != e1 )
| ~ sP49_prd
| sP40_prd )
& ( ( ( op(e1,op(e2,e1)) != e2
| op(e2,op(e2,e1)) = e1 )
& sP49_prd )
| ~ sP40_prd ) ),
inference(NNF_transformation,[status(thm)],[f607]) ).
fof(f609,plain,
( sP49_prd
| ~ sP40_prd ),
inference(cnf_transformation,[status(thm)],[f608]) ).
fof(f610,plain,
( op(e1,op(e2,e1)) != e2
| op(e2,op(e2,e1)) = e1
| ~ sP40_prd ),
inference(cnf_transformation,[status(thm)],[f608]) ).
fof(f612,plain,
( op(e1,op(e2,e1)) = e2
| ~ sP49_prd
| sP40_prd ),
inference(cnf_transformation,[status(thm)],[f608]) ).
fof(f613,plain,
( ( ( op(e2,op(e1,e2)) = e1
& op(e1,op(e1,e2)) != e2 )
| ( op(e2,op(e0,e2)) = e0
& op(e0,op(e0,e2)) != e2 )
| sP41_prd )
& ( ( ( op(e2,op(e1,e2)) != e1
| op(e1,op(e1,e2)) = e2 )
& ( op(e2,op(e0,e2)) != e0
| op(e0,op(e0,e2)) = e2 ) )
| ~ sP41_prd ) ),
inference(NNF_transformation,[status(thm)],[f538]) ).
fof(f615,plain,
( op(e2,op(e1,e2)) != e1
| op(e1,op(e1,e2)) = e2
| ~ sP41_prd ),
inference(cnf_transformation,[status(thm)],[f613]) ).
fof(f617,plain,
( op(e2,op(e1,e2)) = e1
| op(e0,op(e0,e2)) != e2
| sP41_prd ),
inference(cnf_transformation,[status(thm)],[f613]) ).
fof(f620,definition,
( sP50_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,[sP50_prd])],[]) ).
fof(f621,plain,
( sP42_prd
<=> ( ( ( e0 = unit
| op(e3,e0) != e4 )
& op(e3,e4) = e0 )
| sP50_prd ) ),
inference(formula_renaming,[status(thm)],[f552,f620]) ).
fof(f622,plain,
( ( ( ( ( e0 != unit
& op(e3,e0) = e4 )
| op(e3,e4) != e0 )
& ~ sP50_prd )
| sP42_prd )
& ( ( ( e0 = unit
| op(e3,e0) != e4 )
& op(e3,e4) = e0 )
| sP50_prd
| ~ sP42_prd ) ),
inference(NNF_transformation,[status(thm)],[f621]) ).
fof(f625,plain,
( ~ sP50_prd
| sP42_prd ),
inference(cnf_transformation,[status(thm)],[f622]) ).
fof(f628,definition,
( sP51_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,[sP51_prd])],[]) ).
fof(f629,plain,
( sP43_prd
<=> ( ( ( e1 = unit
| op(e3,e1) != e4 )
& op(e3,e4) = e1 )
| sP51_prd ) ),
inference(formula_renaming,[status(thm)],[f560,f628]) ).
fof(f630,plain,
( ( ( ( ( e1 != unit
& op(e3,e1) = e4 )
| op(e3,e4) != e1 )
& ~ sP51_prd )
| sP43_prd )
& ( ( ( e1 = unit
| op(e3,e1) != e4 )
& op(e3,e4) = e1 )
| sP51_prd
| ~ sP43_prd ) ),
inference(NNF_transformation,[status(thm)],[f629]) ).
fof(f631,plain,
( op(e3,e4) = e1
| sP51_prd
| ~ sP43_prd ),
inference(cnf_transformation,[status(thm)],[f630]) ).
fof(f632,plain,
( e1 = unit
| op(e3,e1) != e4
| sP51_prd
| ~ sP43_prd ),
inference(cnf_transformation,[status(thm)],[f630]) ).
fof(f633,plain,
( ~ sP51_prd
| sP43_prd ),
inference(cnf_transformation,[status(thm)],[f630]) ).
fof(f634,plain,
( op(e3,e1) = e4
| op(e3,e4) != e1
| sP43_prd ),
inference(cnf_transformation,[status(thm)],[f630]) ).
fof(f636,definition,
( sP52_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,[sP52_prd])],[]) ).
fof(f637,plain,
( sP44_prd
<=> ( ( ( e2 = unit
| op(e3,e2) != e4 )
& op(e3,e4) = e2 )
| sP52_prd ) ),
inference(formula_renaming,[status(thm)],[f568,f636]) ).
fof(f638,plain,
( ( ( ( ( e2 != unit
& op(e3,e2) = e4 )
| op(e3,e4) != e2 )
& ~ sP52_prd )
| sP44_prd )
& ( ( ( e2 = unit
| op(e3,e2) != e4 )
& op(e3,e4) = e2 )
| sP52_prd
| ~ sP44_prd ) ),
inference(NNF_transformation,[status(thm)],[f637]) ).
fof(f639,plain,
( op(e3,e4) = e2
| sP52_prd
| ~ sP44_prd ),
inference(cnf_transformation,[status(thm)],[f638]) ).
fof(f640,plain,
( e2 = unit
| op(e3,e2) != e4
| sP52_prd
| ~ sP44_prd ),
inference(cnf_transformation,[status(thm)],[f638]) ).
fof(f641,plain,
( ~ sP52_prd
| sP44_prd ),
inference(cnf_transformation,[status(thm)],[f638]) ).
fof(f644,definition,
( sP53_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,[sP53_prd])],[]) ).
fof(f645,plain,
( sP45_prd
<=> ( ( ( e3 = unit
| op(e3,e3) != e4 )
& op(e3,e4) = e3 )
| sP53_prd ) ),
inference(formula_renaming,[status(thm)],[f576,f644]) ).
fof(f646,plain,
( ( ( ( ( e3 != unit
& op(e3,e3) = e4 )
| op(e3,e4) != e3 )
& ~ sP53_prd )
| sP45_prd )
& ( ( ( e3 = unit
| op(e3,e3) != e4 )
& op(e3,e4) = e3 )
| sP53_prd
| ~ sP45_prd ) ),
inference(NNF_transformation,[status(thm)],[f645]) ).
fof(f647,plain,
( op(e3,e4) = e3
| sP53_prd
| ~ sP45_prd ),
inference(cnf_transformation,[status(thm)],[f646]) ).
fof(f649,plain,
( ~ sP53_prd
| sP45_prd ),
inference(cnf_transformation,[status(thm)],[f646]) ).
fof(f652,definition,
( sP54_prd
<=> ( ( ( 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 ) ) ),
introduced(definition,[new_symbols(definition,[sP54_prd])],[]) ).
fof(f653,plain,
( sP46_prd
<=> ( ( ( e4 = unit
| op(e3,e4) != e4 )
& op(e3,e4) = e4 )
| sP54_prd ) ),
inference(formula_renaming,[status(thm)],[f584,f652]) ).
fof(f654,plain,
( ( ( ( ( e4 != unit
& op(e3,e4) = e4 )
| op(e3,e4) != e4 )
& ~ sP54_prd )
| sP46_prd )
& ( ( ( e4 = unit
| op(e3,e4) != e4 )
& op(e3,e4) = e4 )
| sP54_prd
| ~ sP46_prd ) ),
inference(NNF_transformation,[status(thm)],[f653]) ).
fof(f655,plain,
( op(e3,e4) = e4
| sP54_prd
| ~ sP46_prd ),
inference(cnf_transformation,[status(thm)],[f654]) ).
fof(f657,plain,
( ~ sP54_prd
| sP46_prd ),
inference(cnf_transformation,[status(thm)],[f654]) ).
fof(f660,definition,
( sP55_prd
<=> ( ( op(e3,e2) != e3
& op(e3,e3) = e2 )
| ( op(e3,e1) != e3
& op(e3,e3) = e1 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0 )
| ( op(e2,e4) != e2
& op(e2,e2) = e4 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0 )
| ( op(e1,e4) != e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP55_prd])],[]) ).
fof(f661,plain,
( sP47_prd
<=> ( ( op(e3,e3) != e3
& op(e3,e3) = e3 )
| sP55_prd ) ),
inference(formula_renaming,[status(thm)],[f592,f660]) ).
fof(f662,plain,
( ( ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ~ sP55_prd )
| sP47_prd )
& ( ( op(e3,e3) != e3
& op(e3,e3) = e3 )
| sP55_prd
| ~ sP47_prd ) ),
inference(NNF_transformation,[status(thm)],[f661]) ).
fof(f663,plain,
( op(e3,e3) = e3
| sP55_prd
| ~ sP47_prd ),
inference(cnf_transformation,[status(thm)],[f662]) ).
fof(f665,plain,
( ~ sP55_prd
| sP47_prd ),
inference(cnf_transformation,[status(thm)],[f662]) ).
fof(f667,definition,
( sP56_prd
<=> ( ( op(e0,op(e1,e0)) != e1
| op(e1,op(e1,e0)) = e0 )
& ( op(e0,op(e0,e0)) != e0
| op(e0,op(e0,e0)) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP56_prd])],[]) ).
fof(f668,plain,
( sP48_prd
<=> ( ( op(e0,op(e2,e0)) != e2
| op(e2,op(e2,e0)) = e0 )
& sP56_prd ) ),
inference(formula_renaming,[status(thm)],[f599,f667]) ).
fof(f669,plain,
( ( ( op(e0,op(e2,e0)) = e2
& op(e2,op(e2,e0)) != e0 )
| ~ sP56_prd
| sP48_prd )
& ( ( ( op(e0,op(e2,e0)) != e2
| op(e2,op(e2,e0)) = e0 )
& sP56_prd )
| ~ sP48_prd ) ),
inference(NNF_transformation,[status(thm)],[f668]) ).
fof(f670,plain,
( sP56_prd
| ~ sP48_prd ),
inference(cnf_transformation,[status(thm)],[f669]) ).
fof(f671,plain,
( op(e0,op(e2,e0)) != e2
| op(e2,op(e2,e0)) = e0
| ~ sP48_prd ),
inference(cnf_transformation,[status(thm)],[f669]) ).
fof(f672,plain,
( op(e2,op(e2,e0)) != e0
| ~ sP56_prd
| sP48_prd ),
inference(cnf_transformation,[status(thm)],[f669]) ).
fof(f674,plain,
( ( ( op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e1)) != e1 )
| ( op(e1,op(e0,e1)) = e0
& op(e0,op(e0,e1)) != e1 )
| sP49_prd )
& ( ( ( op(e1,op(e1,e1)) != e1
| op(e1,op(e1,e1)) = e1 )
& ( op(e1,op(e0,e1)) != e0
| op(e0,op(e0,e1)) = e1 ) )
| ~ sP49_prd ) ),
inference(NNF_transformation,[status(thm)],[f606]) ).
fof(f677,plain,
( op(e1,op(e1,e1)) != e1
| op(e0,op(e0,e1)) != e1
| sP49_prd ),
inference(cnf_transformation,[status(thm)],[f674]) ).
fof(f678,plain,
( op(e1,op(e1,e1)) = e1
| op(e0,op(e0,e1)) != e1
| sP49_prd ),
inference(cnf_transformation,[status(thm)],[f674]) ).
fof(f681,definition,
( sP57_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,[sP57_prd])],[]) ).
fof(f682,plain,
( sP50_prd
<=> ( ( ( e0 = unit
| op(e3,e0) != e3 )
& op(e3,e3) = e0 )
| sP57_prd ) ),
inference(formula_renaming,[status(thm)],[f620,f681]) ).
fof(f683,plain,
( ( ( ( ( e0 != unit
& op(e3,e0) = e3 )
| op(e3,e3) != e0 )
& ~ sP57_prd )
| sP50_prd )
& ( ( ( e0 = unit
| op(e3,e0) != e3 )
& op(e3,e3) = e0 )
| sP57_prd
| ~ sP50_prd ) ),
inference(NNF_transformation,[status(thm)],[f682]) ).
fof(f686,plain,
( ~ sP57_prd
| sP50_prd ),
inference(cnf_transformation,[status(thm)],[f683]) ).
fof(f689,definition,
( sP58_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,[sP58_prd])],[]) ).
fof(f690,plain,
( sP51_prd
<=> ( ( ( e1 = unit
| op(e3,e1) != e3 )
& op(e3,e3) = e1 )
| sP58_prd ) ),
inference(formula_renaming,[status(thm)],[f628,f689]) ).
fof(f691,plain,
( ( ( ( ( e1 != unit
& op(e3,e1) = e3 )
| op(e3,e3) != e1 )
& ~ sP58_prd )
| sP51_prd )
& ( ( ( e1 = unit
| op(e3,e1) != e3 )
& op(e3,e3) = e1 )
| sP58_prd
| ~ sP51_prd ) ),
inference(NNF_transformation,[status(thm)],[f690]) ).
fof(f692,plain,
( op(e3,e3) = e1
| sP58_prd
| ~ sP51_prd ),
inference(cnf_transformation,[status(thm)],[f691]) ).
fof(f694,plain,
( ~ sP58_prd
| sP51_prd ),
inference(cnf_transformation,[status(thm)],[f691]) ).
fof(f695,plain,
( op(e3,e1) = e3
| op(e3,e3) != e1
| sP51_prd ),
inference(cnf_transformation,[status(thm)],[f691]) ).
fof(f697,definition,
( sP59_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,[sP59_prd])],[]) ).
fof(f698,plain,
( sP52_prd
<=> ( ( ( e2 = unit
| op(e3,e2) != e3 )
& op(e3,e3) = e2 )
| sP59_prd ) ),
inference(formula_renaming,[status(thm)],[f636,f697]) ).
fof(f699,plain,
( ( ( ( ( e2 != unit
& op(e3,e2) = e3 )
| op(e3,e3) != e2 )
& ~ sP59_prd )
| sP52_prd )
& ( ( ( e2 = unit
| op(e3,e2) != e3 )
& op(e3,e3) = e2 )
| sP59_prd
| ~ sP52_prd ) ),
inference(NNF_transformation,[status(thm)],[f698]) ).
fof(f700,plain,
( op(e3,e3) = e2
| sP59_prd
| ~ sP52_prd ),
inference(cnf_transformation,[status(thm)],[f699]) ).
fof(f702,plain,
( ~ sP59_prd
| sP52_prd ),
inference(cnf_transformation,[status(thm)],[f699]) ).
fof(f703,plain,
( op(e3,e2) = e3
| op(e3,e3) != e2
| sP52_prd ),
inference(cnf_transformation,[status(thm)],[f699]) ).
fof(f705,definition,
( sP60_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,[sP60_prd])],[]) ).
fof(f706,plain,
( sP53_prd
<=> ( ( ( e3 = unit
| op(e3,e3) != e3 )
& op(e3,e3) = e3 )
| sP60_prd ) ),
inference(formula_renaming,[status(thm)],[f644,f705]) ).
fof(f707,plain,
( ( ( ( ( e3 != unit
& op(e3,e3) = e3 )
| op(e3,e3) != e3 )
& ~ sP60_prd )
| sP53_prd )
& ( ( ( e3 = unit
| op(e3,e3) != e3 )
& op(e3,e3) = e3 )
| sP60_prd
| ~ sP53_prd ) ),
inference(NNF_transformation,[status(thm)],[f706]) ).
fof(f708,plain,
( op(e3,e3) = e3
| sP60_prd
| ~ sP53_prd ),
inference(cnf_transformation,[status(thm)],[f707]) ).
fof(f710,plain,
( ~ sP60_prd
| sP53_prd ),
inference(cnf_transformation,[status(thm)],[f707]) ).
fof(f713,definition,
( sP61_prd
<=> ( ( ( 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 ) ) ),
introduced(definition,[new_symbols(definition,[sP61_prd])],[]) ).
fof(f714,plain,
( sP54_prd
<=> ( ( ( e4 = unit
| op(e3,e4) != e3 )
& op(e3,e3) = e4 )
| sP61_prd ) ),
inference(formula_renaming,[status(thm)],[f652,f713]) ).
fof(f715,plain,
( ( ( ( ( e4 != unit
& op(e3,e4) = e3 )
| op(e3,e3) != e4 )
& ~ sP61_prd )
| sP54_prd )
& ( ( ( e4 = unit
| op(e3,e4) != e3 )
& op(e3,e3) = e4 )
| sP61_prd
| ~ sP54_prd ) ),
inference(NNF_transformation,[status(thm)],[f714]) ).
fof(f716,plain,
( op(e3,e3) = e4
| sP61_prd
| ~ sP54_prd ),
inference(cnf_transformation,[status(thm)],[f715]) ).
fof(f718,plain,
( ~ sP61_prd
| sP54_prd ),
inference(cnf_transformation,[status(thm)],[f715]) ).
fof(f719,plain,
( op(e3,e4) = e3
| op(e3,e3) != e4
| sP54_prd ),
inference(cnf_transformation,[status(thm)],[f715]) ).
fof(f721,definition,
( sP62_prd
<=> ( ( op(e3,e1) != e3
& op(e3,e3) = e1 )
| ( op(e3,e0) != e3
& op(e3,e3) = e0 )
| ( op(e2,e4) != e2
& op(e2,e2) = e4 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0 )
| ( op(e1,e4) != e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP62_prd])],[]) ).
fof(f722,plain,
( sP55_prd
<=> ( ( op(e3,e2) != e3
& op(e3,e3) = e2 )
| sP62_prd ) ),
inference(formula_renaming,[status(thm)],[f660,f721]) ).
fof(f723,plain,
( ( ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ~ sP62_prd )
| sP55_prd )
& ( ( op(e3,e2) != e3
& op(e3,e3) = e2 )
| sP62_prd
| ~ sP55_prd ) ),
inference(NNF_transformation,[status(thm)],[f722]) ).
fof(f724,plain,
( op(e3,e3) = e2
| sP62_prd
| ~ sP55_prd ),
inference(cnf_transformation,[status(thm)],[f723]) ).
fof(f726,plain,
( ~ sP62_prd
| sP55_prd ),
inference(cnf_transformation,[status(thm)],[f723]) ).
fof(f727,plain,
( op(e3,e2) = e3
| op(e3,e3) != e2
| sP55_prd ),
inference(cnf_transformation,[status(thm)],[f723]) ).
fof(f728,plain,
( ( ( op(e0,op(e1,e0)) = e1
& op(e1,op(e1,e0)) != e0 )
| ( op(e0,op(e0,e0)) = e0
& op(e0,op(e0,e0)) != e0 )
| sP56_prd )
& ( ( ( op(e0,op(e1,e0)) != e1
| op(e1,op(e1,e0)) = e0 )
& ( op(e0,op(e0,e0)) != e0
| op(e0,op(e0,e0)) = e0 ) )
| ~ sP56_prd ) ),
inference(NNF_transformation,[status(thm)],[f667]) ).
fof(f730,plain,
( op(e0,op(e1,e0)) != e1
| op(e1,op(e1,e0)) = e0
| ~ sP56_prd ),
inference(cnf_transformation,[status(thm)],[f728]) ).
fof(f731,plain,
( op(e1,op(e1,e0)) != e0
| op(e0,op(e0,e0)) != e0
| sP56_prd ),
inference(cnf_transformation,[status(thm)],[f728]) ).
fof(f733,plain,
( op(e1,op(e1,e0)) != e0
| op(e0,op(e0,e0)) = e0
| sP56_prd ),
inference(cnf_transformation,[status(thm)],[f728]) ).
fof(f735,definition,
( sP63_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,[sP63_prd])],[]) ).
fof(f736,plain,
( sP57_prd
<=> ( ( ( e0 = unit
| op(e3,e0) != e2 )
& op(e3,e2) = e0 )
| sP63_prd ) ),
inference(formula_renaming,[status(thm)],[f681,f735]) ).
fof(f737,plain,
( ( ( ( ( e0 != unit
& op(e3,e0) = e2 )
| op(e3,e2) != e0 )
& ~ sP63_prd )
| sP57_prd )
& ( ( ( e0 = unit
| op(e3,e0) != e2 )
& op(e3,e2) = e0 )
| sP63_prd
| ~ sP57_prd ) ),
inference(NNF_transformation,[status(thm)],[f736]) ).
fof(f740,plain,
( ~ sP63_prd
| sP57_prd ),
inference(cnf_transformation,[status(thm)],[f737]) ).
fof(f743,definition,
( sP64_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,[sP64_prd])],[]) ).
fof(f744,plain,
( sP58_prd
<=> ( ( ( e1 = unit
| op(e3,e1) != e2 )
& op(e3,e2) = e1 )
| sP64_prd ) ),
inference(formula_renaming,[status(thm)],[f689,f743]) ).
fof(f745,plain,
( ( ( ( ( e1 != unit
& op(e3,e1) = e2 )
| op(e3,e2) != e1 )
& ~ sP64_prd )
| sP58_prd )
& ( ( ( e1 = unit
| op(e3,e1) != e2 )
& op(e3,e2) = e1 )
| sP64_prd
| ~ sP58_prd ) ),
inference(NNF_transformation,[status(thm)],[f744]) ).
fof(f746,plain,
( op(e3,e2) = e1
| sP64_prd
| ~ sP58_prd ),
inference(cnf_transformation,[status(thm)],[f745]) ).
fof(f747,plain,
( e1 = unit
| op(e3,e1) != e2
| sP64_prd
| ~ sP58_prd ),
inference(cnf_transformation,[status(thm)],[f745]) ).
fof(f748,plain,
( ~ sP64_prd
| sP58_prd ),
inference(cnf_transformation,[status(thm)],[f745]) ).
fof(f749,plain,
( op(e3,e1) = e2
| op(e3,e2) != e1
| sP58_prd ),
inference(cnf_transformation,[status(thm)],[f745]) ).
fof(f751,definition,
( sP65_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,[sP65_prd])],[]) ).
fof(f752,plain,
( sP59_prd
<=> ( ( ( e2 = unit
| op(e3,e2) != e2 )
& op(e3,e2) = e2 )
| sP65_prd ) ),
inference(formula_renaming,[status(thm)],[f697,f751]) ).
fof(f753,plain,
( ( ( ( ( e2 != unit
& op(e3,e2) = e2 )
| op(e3,e2) != e2 )
& ~ sP65_prd )
| sP59_prd )
& ( ( ( e2 = unit
| op(e3,e2) != e2 )
& op(e3,e2) = e2 )
| sP65_prd
| ~ sP59_prd ) ),
inference(NNF_transformation,[status(thm)],[f752]) ).
fof(f754,plain,
( op(e3,e2) = e2
| sP65_prd
| ~ sP59_prd ),
inference(cnf_transformation,[status(thm)],[f753]) ).
fof(f756,plain,
( ~ sP65_prd
| sP59_prd ),
inference(cnf_transformation,[status(thm)],[f753]) ).
fof(f759,definition,
( sP66_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,[sP66_prd])],[]) ).
fof(f760,plain,
( sP60_prd
<=> ( ( ( e3 = unit
| op(e3,e3) != e2 )
& op(e3,e2) = e3 )
| sP66_prd ) ),
inference(formula_renaming,[status(thm)],[f705,f759]) ).
fof(f761,plain,
( ( ( ( ( e3 != unit
& op(e3,e3) = e2 )
| op(e3,e2) != e3 )
& ~ sP66_prd )
| sP60_prd )
& ( ( ( e3 = unit
| op(e3,e3) != e2 )
& op(e3,e2) = e3 )
| sP66_prd
| ~ sP60_prd ) ),
inference(NNF_transformation,[status(thm)],[f760]) ).
fof(f762,plain,
( op(e3,e2) = e3
| sP66_prd
| ~ sP60_prd ),
inference(cnf_transformation,[status(thm)],[f761]) ).
fof(f764,plain,
( ~ sP66_prd
| sP60_prd ),
inference(cnf_transformation,[status(thm)],[f761]) ).
fof(f767,definition,
( sP67_prd
<=> ( ( ( 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 ) ) ),
introduced(definition,[new_symbols(definition,[sP67_prd])],[]) ).
fof(f768,plain,
( sP61_prd
<=> ( ( ( e4 = unit
| op(e3,e4) != e2 )
& op(e3,e2) = e4 )
| sP67_prd ) ),
inference(formula_renaming,[status(thm)],[f713,f767]) ).
fof(f769,plain,
( ( ( ( ( e4 != unit
& op(e3,e4) = e2 )
| op(e3,e2) != e4 )
& ~ sP67_prd )
| sP61_prd )
& ( ( ( e4 = unit
| op(e3,e4) != e2 )
& op(e3,e2) = e4 )
| sP67_prd
| ~ sP61_prd ) ),
inference(NNF_transformation,[status(thm)],[f768]) ).
fof(f770,plain,
( op(e3,e2) = e4
| sP67_prd
| ~ sP61_prd ),
inference(cnf_transformation,[status(thm)],[f769]) ).
fof(f771,plain,
( e4 = unit
| op(e3,e4) != e2
| sP67_prd
| ~ sP61_prd ),
inference(cnf_transformation,[status(thm)],[f769]) ).
fof(f772,plain,
( ~ sP67_prd
| sP61_prd ),
inference(cnf_transformation,[status(thm)],[f769]) ).
fof(f773,plain,
( op(e3,e4) = e2
| op(e3,e2) != e4
| sP61_prd ),
inference(cnf_transformation,[status(thm)],[f769]) ).
fof(f775,definition,
( sP68_prd
<=> ( ( op(e3,e0) != e3
& op(e3,e3) = e0 )
| ( op(e2,e4) != e2
& op(e2,e2) = e4 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0 )
| ( op(e1,e4) != e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP68_prd])],[]) ).
fof(f776,plain,
( sP62_prd
<=> ( ( op(e3,e1) != e3
& op(e3,e3) = e1 )
| sP68_prd ) ),
inference(formula_renaming,[status(thm)],[f721,f775]) ).
fof(f777,plain,
( ( ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ~ sP68_prd )
| sP62_prd )
& ( ( op(e3,e1) != e3
& op(e3,e3) = e1 )
| sP68_prd
| ~ sP62_prd ) ),
inference(NNF_transformation,[status(thm)],[f776]) ).
fof(f778,plain,
( op(e3,e3) = e1
| sP68_prd
| ~ sP62_prd ),
inference(cnf_transformation,[status(thm)],[f777]) ).
fof(f780,plain,
( ~ sP68_prd
| sP62_prd ),
inference(cnf_transformation,[status(thm)],[f777]) ).
fof(f782,definition,
( sP69_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,[sP69_prd])],[]) ).
fof(f783,plain,
( sP63_prd
<=> ( ( ( e0 = unit
| op(e3,e0) != e1 )
& op(e3,e1) = e0 )
| sP69_prd ) ),
inference(formula_renaming,[status(thm)],[f735,f782]) ).
fof(f784,plain,
( ( ( ( ( e0 != unit
& op(e3,e0) = e1 )
| op(e3,e1) != e0 )
& ~ sP69_prd )
| sP63_prd )
& ( ( ( e0 = unit
| op(e3,e0) != e1 )
& op(e3,e1) = e0 )
| sP69_prd
| ~ sP63_prd ) ),
inference(NNF_transformation,[status(thm)],[f783]) ).
fof(f787,plain,
( ~ sP69_prd
| sP63_prd ),
inference(cnf_transformation,[status(thm)],[f784]) ).
fof(f790,definition,
( sP70_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,[sP70_prd])],[]) ).
fof(f791,plain,
( sP64_prd
<=> ( ( ( e1 = unit
| op(e3,e1) != e1 )
& op(e3,e1) = e1 )
| sP70_prd ) ),
inference(formula_renaming,[status(thm)],[f743,f790]) ).
fof(f792,plain,
( ( ( ( ( e1 != unit
& op(e3,e1) = e1 )
| op(e3,e1) != e1 )
& ~ sP70_prd )
| sP64_prd )
& ( ( ( e1 = unit
| op(e3,e1) != e1 )
& op(e3,e1) = e1 )
| sP70_prd
| ~ sP64_prd ) ),
inference(NNF_transformation,[status(thm)],[f791]) ).
fof(f793,plain,
( op(e3,e1) = e1
| sP70_prd
| ~ sP64_prd ),
inference(cnf_transformation,[status(thm)],[f792]) ).
fof(f795,plain,
( ~ sP70_prd
| sP64_prd ),
inference(cnf_transformation,[status(thm)],[f792]) ).
fof(f798,definition,
( sP71_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,[sP71_prd])],[]) ).
fof(f799,plain,
( sP65_prd
<=> ( ( ( e2 = unit
| op(e3,e2) != e1 )
& op(e3,e1) = e2 )
| sP71_prd ) ),
inference(formula_renaming,[status(thm)],[f751,f798]) ).
fof(f800,plain,
( ( ( ( ( e2 != unit
& op(e3,e2) = e1 )
| op(e3,e1) != e2 )
& ~ sP71_prd )
| sP65_prd )
& ( ( ( e2 = unit
| op(e3,e2) != e1 )
& op(e3,e1) = e2 )
| sP71_prd
| ~ sP65_prd ) ),
inference(NNF_transformation,[status(thm)],[f799]) ).
fof(f801,plain,
( op(e3,e1) = e2
| sP71_prd
| ~ sP65_prd ),
inference(cnf_transformation,[status(thm)],[f800]) ).
fof(f802,plain,
( e2 = unit
| op(e3,e2) != e1
| sP71_prd
| ~ sP65_prd ),
inference(cnf_transformation,[status(thm)],[f800]) ).
fof(f803,plain,
( ~ sP71_prd
| sP65_prd ),
inference(cnf_transformation,[status(thm)],[f800]) ).
fof(f806,definition,
( sP72_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,[sP72_prd])],[]) ).
fof(f807,plain,
( sP66_prd
<=> ( ( ( e3 = unit
| op(e3,e3) != e1 )
& op(e3,e1) = e3 )
| sP72_prd ) ),
inference(formula_renaming,[status(thm)],[f759,f806]) ).
fof(f808,plain,
( ( ( ( ( e3 != unit
& op(e3,e3) = e1 )
| op(e3,e1) != e3 )
& ~ sP72_prd )
| sP66_prd )
& ( ( ( e3 = unit
| op(e3,e3) != e1 )
& op(e3,e1) = e3 )
| sP72_prd
| ~ sP66_prd ) ),
inference(NNF_transformation,[status(thm)],[f807]) ).
fof(f809,plain,
( op(e3,e1) = e3
| sP72_prd
| ~ sP66_prd ),
inference(cnf_transformation,[status(thm)],[f808]) ).
fof(f811,plain,
( ~ sP72_prd
| sP66_prd ),
inference(cnf_transformation,[status(thm)],[f808]) ).
fof(f814,definition,
( sP73_prd
<=> ( ( ( 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 ) ) ),
introduced(definition,[new_symbols(definition,[sP73_prd])],[]) ).
fof(f815,plain,
( sP67_prd
<=> ( ( ( e4 = unit
| op(e3,e4) != e1 )
& op(e3,e1) = e4 )
| sP73_prd ) ),
inference(formula_renaming,[status(thm)],[f767,f814]) ).
fof(f816,plain,
( ( ( ( ( e4 != unit
& op(e3,e4) = e1 )
| op(e3,e1) != e4 )
& ~ sP73_prd )
| sP67_prd )
& ( ( ( e4 = unit
| op(e3,e4) != e1 )
& op(e3,e1) = e4 )
| sP73_prd
| ~ sP67_prd ) ),
inference(NNF_transformation,[status(thm)],[f815]) ).
fof(f817,plain,
( op(e3,e1) = e4
| sP73_prd
| ~ sP67_prd ),
inference(cnf_transformation,[status(thm)],[f816]) ).
fof(f818,plain,
( e4 = unit
| op(e3,e4) != e1
| sP73_prd
| ~ sP67_prd ),
inference(cnf_transformation,[status(thm)],[f816]) ).
fof(f819,plain,
( ~ sP73_prd
| sP67_prd ),
inference(cnf_transformation,[status(thm)],[f816]) ).
fof(f820,plain,
( op(e3,e4) = e1
| op(e3,e1) != e4
| sP67_prd ),
inference(cnf_transformation,[status(thm)],[f816]) ).
fof(f822,definition,
( sP74_prd
<=> ( ( op(e2,e4) != e2
& op(e2,e2) = e4 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0 )
| ( op(e1,e4) != e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP74_prd])],[]) ).
fof(f823,plain,
( sP68_prd
<=> ( ( op(e3,e0) != e3
& op(e3,e3) = e0 )
| sP74_prd ) ),
inference(formula_renaming,[status(thm)],[f775,f822]) ).
fof(f824,plain,
( ( ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ~ sP74_prd )
| sP68_prd )
& ( ( op(e3,e0) != e3
& op(e3,e3) = e0 )
| sP74_prd
| ~ sP68_prd ) ),
inference(NNF_transformation,[status(thm)],[f823]) ).
fof(f826,plain,
( op(e3,e0) != e3
| sP74_prd
| ~ sP68_prd ),
inference(cnf_transformation,[status(thm)],[f824]) ).
fof(f827,plain,
( ~ sP74_prd
| sP68_prd ),
inference(cnf_transformation,[status(thm)],[f824]) ).
fof(f829,definition,
( sP75_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,[sP75_prd])],[]) ).
fof(f830,plain,
( sP69_prd
<=> ( ( ( e0 = unit
| op(e3,e0) != e0 )
& op(e3,e0) = e0 )
| sP75_prd ) ),
inference(formula_renaming,[status(thm)],[f782,f829]) ).
fof(f831,plain,
( ( ( ( ( e0 != unit
& op(e3,e0) = e0 )
| op(e3,e0) != e0 )
& ~ sP75_prd )
| sP69_prd )
& ( ( ( e0 = unit
| op(e3,e0) != e0 )
& op(e3,e0) = e0 )
| sP75_prd
| ~ sP69_prd ) ),
inference(NNF_transformation,[status(thm)],[f830]) ).
fof(f834,plain,
( ~ sP75_prd
| sP69_prd ),
inference(cnf_transformation,[status(thm)],[f831]) ).
fof(f837,definition,
( sP76_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,[sP76_prd])],[]) ).
fof(f838,plain,
( sP70_prd
<=> ( ( ( e1 = unit
| op(e3,e1) != e0 )
& op(e3,e0) = e1 )
| sP76_prd ) ),
inference(formula_renaming,[status(thm)],[f790,f837]) ).
fof(f839,plain,
( ( ( ( ( e1 != unit
& op(e3,e1) = e0 )
| op(e3,e0) != e1 )
& ~ sP76_prd )
| sP70_prd )
& ( ( ( e1 = unit
| op(e3,e1) != e0 )
& op(e3,e0) = e1 )
| sP76_prd
| ~ sP70_prd ) ),
inference(NNF_transformation,[status(thm)],[f838]) ).
fof(f840,plain,
( op(e3,e0) = e1
| sP76_prd
| ~ sP70_prd ),
inference(cnf_transformation,[status(thm)],[f839]) ).
fof(f842,plain,
( ~ sP76_prd
| sP70_prd ),
inference(cnf_transformation,[status(thm)],[f839]) ).
fof(f845,definition,
( sP77_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,[sP77_prd])],[]) ).
fof(f846,plain,
( sP71_prd
<=> ( ( ( e2 = unit
| op(e3,e2) != e0 )
& op(e3,e0) = e2 )
| sP77_prd ) ),
inference(formula_renaming,[status(thm)],[f798,f845]) ).
fof(f847,plain,
( ( ( ( ( e2 != unit
& op(e3,e2) = e0 )
| op(e3,e0) != e2 )
& ~ sP77_prd )
| sP71_prd )
& ( ( ( e2 = unit
| op(e3,e2) != e0 )
& op(e3,e0) = e2 )
| sP77_prd
| ~ sP71_prd ) ),
inference(NNF_transformation,[status(thm)],[f846]) ).
fof(f848,plain,
( op(e3,e0) = e2
| sP77_prd
| ~ sP71_prd ),
inference(cnf_transformation,[status(thm)],[f847]) ).
fof(f850,plain,
( ~ sP77_prd
| sP71_prd ),
inference(cnf_transformation,[status(thm)],[f847]) ).
fof(f853,definition,
( sP78_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,[sP78_prd])],[]) ).
fof(f854,plain,
( sP72_prd
<=> ( ( ( e3 = unit
| op(e3,e3) != e0 )
& op(e3,e0) = e3 )
| sP78_prd ) ),
inference(formula_renaming,[status(thm)],[f806,f853]) ).
fof(f855,plain,
( ( ( ( ( e3 != unit
& op(e3,e3) = e0 )
| op(e3,e0) != e3 )
& ~ sP78_prd )
| sP72_prd )
& ( ( ( e3 = unit
| op(e3,e3) != e0 )
& op(e3,e0) = e3 )
| sP78_prd
| ~ sP72_prd ) ),
inference(NNF_transformation,[status(thm)],[f854]) ).
fof(f857,plain,
( e3 = unit
| op(e3,e3) != e0
| sP78_prd
| ~ sP72_prd ),
inference(cnf_transformation,[status(thm)],[f855]) ).
fof(f858,plain,
( ~ sP78_prd
| sP72_prd ),
inference(cnf_transformation,[status(thm)],[f855]) ).
fof(f859,plain,
( op(e3,e3) = e0
| op(e3,e0) != e3
| sP72_prd ),
inference(cnf_transformation,[status(thm)],[f855]) ).
fof(f861,definition,
( sP79_prd
<=> ( ( ( 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 ) ) ),
introduced(definition,[new_symbols(definition,[sP79_prd])],[]) ).
fof(f862,plain,
( sP73_prd
<=> ( ( ( e4 = unit
| op(e3,e4) != e0 )
& op(e3,e0) = e4 )
| sP79_prd ) ),
inference(formula_renaming,[status(thm)],[f814,f861]) ).
fof(f863,plain,
( ( ( ( ( e4 != unit
& op(e3,e4) = e0 )
| op(e3,e0) != e4 )
& ~ sP79_prd )
| sP73_prd )
& ( ( ( e4 = unit
| op(e3,e4) != e0 )
& op(e3,e0) = e4 )
| sP79_prd
| ~ sP73_prd ) ),
inference(NNF_transformation,[status(thm)],[f862]) ).
fof(f864,plain,
( op(e3,e0) = e4
| sP79_prd
| ~ sP73_prd ),
inference(cnf_transformation,[status(thm)],[f863]) ).
fof(f866,plain,
( ~ sP79_prd
| sP73_prd ),
inference(cnf_transformation,[status(thm)],[f863]) ).
fof(f869,definition,
( sP80_prd
<=> ( ( op(e2,e3) != e2
& op(e2,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0 )
| ( op(e1,e4) != e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP80_prd])],[]) ).
fof(f870,plain,
( sP74_prd
<=> ( ( op(e2,e4) != e2
& op(e2,e2) = e4 )
| sP80_prd ) ),
inference(formula_renaming,[status(thm)],[f822,f869]) ).
fof(f871,plain,
( ( ( ( op(e2,e4) = e2
| op(e2,e2) != e4 )
& ~ sP80_prd )
| sP74_prd )
& ( ( op(e2,e4) != e2
& op(e2,e2) = e4 )
| sP80_prd
| ~ sP74_prd ) ),
inference(NNF_transformation,[status(thm)],[f870]) ).
fof(f872,plain,
( op(e2,e2) = e4
| sP80_prd
| ~ sP74_prd ),
inference(cnf_transformation,[status(thm)],[f871]) ).
fof(f874,plain,
( ~ sP80_prd
| sP74_prd ),
inference(cnf_transformation,[status(thm)],[f871]) ).
fof(f875,plain,
( op(e2,e4) = e2
| op(e2,e2) != e4
| sP74_prd ),
inference(cnf_transformation,[status(thm)],[f871]) ).
fof(f876,definition,
( sP81_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,[sP81_prd])],[]) ).
fof(f877,plain,
( sP75_prd
<=> ( ( ( e0 = unit
| op(e2,e0) != e4 )
& op(e2,e4) = e0 )
| sP81_prd ) ),
inference(formula_renaming,[status(thm)],[f829,f876]) ).
fof(f878,plain,
( ( ( ( ( e0 != unit
& op(e2,e0) = e4 )
| op(e2,e4) != e0 )
& ~ sP81_prd )
| sP75_prd )
& ( ( ( e0 = unit
| op(e2,e0) != e4 )
& op(e2,e4) = e0 )
| sP81_prd
| ~ sP75_prd ) ),
inference(NNF_transformation,[status(thm)],[f877]) ).
fof(f881,plain,
( ~ sP81_prd
| sP75_prd ),
inference(cnf_transformation,[status(thm)],[f878]) ).
fof(f884,definition,
( sP82_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,[sP82_prd])],[]) ).
fof(f885,plain,
( sP76_prd
<=> ( ( ( e1 = unit
| op(e2,e1) != e4 )
& op(e2,e4) = e1 )
| sP82_prd ) ),
inference(formula_renaming,[status(thm)],[f837,f884]) ).
fof(f886,plain,
( ( ( ( ( e1 != unit
& op(e2,e1) = e4 )
| op(e2,e4) != e1 )
& ~ sP82_prd )
| sP76_prd )
& ( ( ( e1 = unit
| op(e2,e1) != e4 )
& op(e2,e4) = e1 )
| sP82_prd
| ~ sP76_prd ) ),
inference(NNF_transformation,[status(thm)],[f885]) ).
fof(f887,plain,
( op(e2,e4) = e1
| sP82_prd
| ~ sP76_prd ),
inference(cnf_transformation,[status(thm)],[f886]) ).
fof(f888,plain,
( e1 = unit
| op(e2,e1) != e4
| sP82_prd
| ~ sP76_prd ),
inference(cnf_transformation,[status(thm)],[f886]) ).
fof(f889,plain,
( ~ sP82_prd
| sP76_prd ),
inference(cnf_transformation,[status(thm)],[f886]) ).
fof(f892,definition,
( sP83_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,[sP83_prd])],[]) ).
fof(f893,plain,
( sP77_prd
<=> ( ( ( e2 = unit
| op(e2,e2) != e4 )
& op(e2,e4) = e2 )
| sP83_prd ) ),
inference(formula_renaming,[status(thm)],[f845,f892]) ).
fof(f894,plain,
( ( ( ( ( e2 != unit
& op(e2,e2) = e4 )
| op(e2,e4) != e2 )
& ~ sP83_prd )
| sP77_prd )
& ( ( ( e2 = unit
| op(e2,e2) != e4 )
& op(e2,e4) = e2 )
| sP83_prd
| ~ sP77_prd ) ),
inference(NNF_transformation,[status(thm)],[f893]) ).
fof(f895,plain,
( op(e2,e4) = e2
| sP83_prd
| ~ sP77_prd ),
inference(cnf_transformation,[status(thm)],[f894]) ).
fof(f897,plain,
( ~ sP83_prd
| sP77_prd ),
inference(cnf_transformation,[status(thm)],[f894]) ).
fof(f900,definition,
( sP84_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,[sP84_prd])],[]) ).
fof(f901,plain,
( sP78_prd
<=> ( ( ( e3 = unit
| op(e2,e3) != e4 )
& op(e2,e4) = e3 )
| sP84_prd ) ),
inference(formula_renaming,[status(thm)],[f853,f900]) ).
fof(f902,plain,
( ( ( ( ( e3 != unit
& op(e2,e3) = e4 )
| op(e2,e4) != e3 )
& ~ sP84_prd )
| sP78_prd )
& ( ( ( e3 = unit
| op(e2,e3) != e4 )
& op(e2,e4) = e3 )
| sP84_prd
| ~ sP78_prd ) ),
inference(NNF_transformation,[status(thm)],[f901]) ).
fof(f903,plain,
( op(e2,e4) = e3
| sP84_prd
| ~ sP78_prd ),
inference(cnf_transformation,[status(thm)],[f902]) ).
fof(f904,plain,
( e3 = unit
| op(e2,e3) != e4
| sP84_prd
| ~ sP78_prd ),
inference(cnf_transformation,[status(thm)],[f902]) ).
fof(f905,plain,
( ~ sP84_prd
| sP78_prd ),
inference(cnf_transformation,[status(thm)],[f902]) ).
fof(f908,definition,
( sP85_prd
<=> ( ( ( 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 ) ) ),
introduced(definition,[new_symbols(definition,[sP85_prd])],[]) ).
fof(f909,plain,
( sP79_prd
<=> ( ( ( e4 = unit
| op(e2,e4) != e4 )
& op(e2,e4) = e4 )
| sP85_prd ) ),
inference(formula_renaming,[status(thm)],[f861,f908]) ).
fof(f910,plain,
( ( ( ( ( e4 != unit
& op(e2,e4) = e4 )
| op(e2,e4) != e4 )
& ~ sP85_prd )
| sP79_prd )
& ( ( ( e4 = unit
| op(e2,e4) != e4 )
& op(e2,e4) = e4 )
| sP85_prd
| ~ sP79_prd ) ),
inference(NNF_transformation,[status(thm)],[f909]) ).
fof(f911,plain,
( op(e2,e4) = e4
| sP85_prd
| ~ sP79_prd ),
inference(cnf_transformation,[status(thm)],[f910]) ).
fof(f913,plain,
( ~ sP85_prd
| sP79_prd ),
inference(cnf_transformation,[status(thm)],[f910]) ).
fof(f916,definition,
( sP86_prd
<=> ( ( op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0 )
| ( op(e1,e4) != e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP86_prd])],[]) ).
fof(f917,plain,
( sP80_prd
<=> ( ( op(e2,e3) != e2
& op(e2,e2) = e3 )
| sP86_prd ) ),
inference(formula_renaming,[status(thm)],[f869,f916]) ).
fof(f918,plain,
( ( ( ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ~ sP86_prd )
| sP80_prd )
& ( ( op(e2,e3) != e2
& op(e2,e2) = e3 )
| sP86_prd
| ~ sP80_prd ) ),
inference(NNF_transformation,[status(thm)],[f917]) ).
fof(f919,plain,
( op(e2,e2) = e3
| sP86_prd
| ~ sP80_prd ),
inference(cnf_transformation,[status(thm)],[f918]) ).
fof(f921,plain,
( ~ sP86_prd
| sP80_prd ),
inference(cnf_transformation,[status(thm)],[f918]) ).
fof(f922,plain,
( op(e2,e3) = e2
| op(e2,e2) != e3
| sP80_prd ),
inference(cnf_transformation,[status(thm)],[f918]) ).
fof(f923,definition,
( sP87_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,[sP87_prd])],[]) ).
fof(f924,plain,
( sP81_prd
<=> ( ( ( e0 = unit
| op(e2,e0) != e3 )
& op(e2,e3) = e0 )
| sP87_prd ) ),
inference(formula_renaming,[status(thm)],[f876,f923]) ).
fof(f925,plain,
( ( ( ( ( e0 != unit
& op(e2,e0) = e3 )
| op(e2,e3) != e0 )
& ~ sP87_prd )
| sP81_prd )
& ( ( ( e0 = unit
| op(e2,e0) != e3 )
& op(e2,e3) = e0 )
| sP87_prd
| ~ sP81_prd ) ),
inference(NNF_transformation,[status(thm)],[f924]) ).
fof(f928,plain,
( ~ sP87_prd
| sP81_prd ),
inference(cnf_transformation,[status(thm)],[f925]) ).
fof(f931,definition,
( sP88_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,[sP88_prd])],[]) ).
fof(f932,plain,
( sP82_prd
<=> ( ( ( e1 = unit
| op(e2,e1) != e3 )
& op(e2,e3) = e1 )
| sP88_prd ) ),
inference(formula_renaming,[status(thm)],[f884,f931]) ).
fof(f933,plain,
( ( ( ( ( e1 != unit
& op(e2,e1) = e3 )
| op(e2,e3) != e1 )
& ~ sP88_prd )
| sP82_prd )
& ( ( ( e1 = unit
| op(e2,e1) != e3 )
& op(e2,e3) = e1 )
| sP88_prd
| ~ sP82_prd ) ),
inference(NNF_transformation,[status(thm)],[f932]) ).
fof(f934,plain,
( op(e2,e3) = e1
| sP88_prd
| ~ sP82_prd ),
inference(cnf_transformation,[status(thm)],[f933]) ).
fof(f935,plain,
( e1 = unit
| op(e2,e1) != e3
| sP88_prd
| ~ sP82_prd ),
inference(cnf_transformation,[status(thm)],[f933]) ).
fof(f936,plain,
( ~ sP88_prd
| sP82_prd ),
inference(cnf_transformation,[status(thm)],[f933]) ).
fof(f937,plain,
( op(e2,e1) = e3
| op(e2,e3) != e1
| sP82_prd ),
inference(cnf_transformation,[status(thm)],[f933]) ).
fof(f939,definition,
( sP89_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,[sP89_prd])],[]) ).
fof(f940,plain,
( sP83_prd
<=> ( ( ( e2 = unit
| op(e2,e2) != e3 )
& op(e2,e3) = e2 )
| sP89_prd ) ),
inference(formula_renaming,[status(thm)],[f892,f939]) ).
fof(f941,plain,
( ( ( ( ( e2 != unit
& op(e2,e2) = e3 )
| op(e2,e3) != e2 )
& ~ sP89_prd )
| sP83_prd )
& ( ( ( e2 = unit
| op(e2,e2) != e3 )
& op(e2,e3) = e2 )
| sP89_prd
| ~ sP83_prd ) ),
inference(NNF_transformation,[status(thm)],[f940]) ).
fof(f942,plain,
( op(e2,e3) = e2
| sP89_prd
| ~ sP83_prd ),
inference(cnf_transformation,[status(thm)],[f941]) ).
fof(f944,plain,
( ~ sP89_prd
| sP83_prd ),
inference(cnf_transformation,[status(thm)],[f941]) ).
fof(f947,definition,
( sP90_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,[sP90_prd])],[]) ).
fof(f948,plain,
( sP84_prd
<=> ( ( ( e3 = unit
| op(e2,e3) != e3 )
& op(e2,e3) = e3 )
| sP90_prd ) ),
inference(formula_renaming,[status(thm)],[f900,f947]) ).
fof(f949,plain,
( ( ( ( ( e3 != unit
& op(e2,e3) = e3 )
| op(e2,e3) != e3 )
& ~ sP90_prd )
| sP84_prd )
& ( ( ( e3 = unit
| op(e2,e3) != e3 )
& op(e2,e3) = e3 )
| sP90_prd
| ~ sP84_prd ) ),
inference(NNF_transformation,[status(thm)],[f948]) ).
fof(f950,plain,
( op(e2,e3) = e3
| sP90_prd
| ~ sP84_prd ),
inference(cnf_transformation,[status(thm)],[f949]) ).
fof(f952,plain,
( ~ sP90_prd
| sP84_prd ),
inference(cnf_transformation,[status(thm)],[f949]) ).
fof(f955,definition,
( sP91_prd
<=> ( ( ( 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 ) ) ),
introduced(definition,[new_symbols(definition,[sP91_prd])],[]) ).
fof(f956,plain,
( sP85_prd
<=> ( ( ( e4 = unit
| op(e2,e4) != e3 )
& op(e2,e3) = e4 )
| sP91_prd ) ),
inference(formula_renaming,[status(thm)],[f908,f955]) ).
fof(f957,plain,
( ( ( ( ( e4 != unit
& op(e2,e4) = e3 )
| op(e2,e3) != e4 )
& ~ sP91_prd )
| sP85_prd )
& ( ( ( e4 = unit
| op(e2,e4) != e3 )
& op(e2,e3) = e4 )
| sP91_prd
| ~ sP85_prd ) ),
inference(NNF_transformation,[status(thm)],[f956]) ).
fof(f958,plain,
( op(e2,e3) = e4
| sP91_prd
| ~ sP85_prd ),
inference(cnf_transformation,[status(thm)],[f957]) ).
fof(f959,plain,
( e4 = unit
| op(e2,e4) != e3
| sP91_prd
| ~ sP85_prd ),
inference(cnf_transformation,[status(thm)],[f957]) ).
fof(f960,plain,
( ~ sP91_prd
| sP85_prd ),
inference(cnf_transformation,[status(thm)],[f957]) ).
fof(f961,plain,
( op(e2,e4) = e3
| op(e2,e3) != e4
| sP85_prd ),
inference(cnf_transformation,[status(thm)],[f957]) ).
fof(f963,definition,
( sP92_prd
<=> ( ( op(e2,e1) != e2
& op(e2,e2) = e1 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0 )
| ( op(e1,e4) != e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP92_prd])],[]) ).
fof(f964,plain,
( sP86_prd
<=> ( ( op(e2,e2) != e2
& op(e2,e2) = e2 )
| sP92_prd ) ),
inference(formula_renaming,[status(thm)],[f916,f963]) ).
fof(f965,plain,
( ( ( ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ~ sP92_prd )
| sP86_prd )
& ( ( op(e2,e2) != e2
& op(e2,e2) = e2 )
| sP92_prd
| ~ sP86_prd ) ),
inference(NNF_transformation,[status(thm)],[f964]) ).
fof(f966,plain,
( op(e2,e2) = e2
| sP92_prd
| ~ sP86_prd ),
inference(cnf_transformation,[status(thm)],[f965]) ).
fof(f968,plain,
( ~ sP92_prd
| sP86_prd ),
inference(cnf_transformation,[status(thm)],[f965]) ).
fof(f970,definition,
( sP93_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,[sP93_prd])],[]) ).
fof(f971,plain,
( sP87_prd
<=> ( ( ( e0 = unit
| op(e2,e0) != e2 )
& op(e2,e2) = e0 )
| sP93_prd ) ),
inference(formula_renaming,[status(thm)],[f923,f970]) ).
fof(f972,plain,
( ( ( ( ( e0 != unit
& op(e2,e0) = e2 )
| op(e2,e2) != e0 )
& ~ sP93_prd )
| sP87_prd )
& ( ( ( e0 = unit
| op(e2,e0) != e2 )
& op(e2,e2) = e0 )
| sP93_prd
| ~ sP87_prd ) ),
inference(NNF_transformation,[status(thm)],[f971]) ).
fof(f975,plain,
( ~ sP93_prd
| sP87_prd ),
inference(cnf_transformation,[status(thm)],[f972]) ).
fof(f978,definition,
( sP94_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,[sP94_prd])],[]) ).
fof(f979,plain,
( sP88_prd
<=> ( ( ( e1 = unit
| op(e2,e1) != e2 )
& op(e2,e2) = e1 )
| sP94_prd ) ),
inference(formula_renaming,[status(thm)],[f931,f978]) ).
fof(f980,plain,
( ( ( ( ( e1 != unit
& op(e2,e1) = e2 )
| op(e2,e2) != e1 )
& ~ sP94_prd )
| sP88_prd )
& ( ( ( e1 = unit
| op(e2,e1) != e2 )
& op(e2,e2) = e1 )
| sP94_prd
| ~ sP88_prd ) ),
inference(NNF_transformation,[status(thm)],[f979]) ).
fof(f981,plain,
( op(e2,e2) = e1
| sP94_prd
| ~ sP88_prd ),
inference(cnf_transformation,[status(thm)],[f980]) ).
fof(f983,plain,
( ~ sP94_prd
| sP88_prd ),
inference(cnf_transformation,[status(thm)],[f980]) ).
fof(f984,plain,
( op(e2,e1) = e2
| op(e2,e2) != e1
| sP88_prd ),
inference(cnf_transformation,[status(thm)],[f980]) ).
fof(f986,definition,
( sP95_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,[sP95_prd])],[]) ).
fof(f987,plain,
( sP89_prd
<=> ( ( ( e2 = unit
| op(e2,e2) != e2 )
& op(e2,e2) = e2 )
| sP95_prd ) ),
inference(formula_renaming,[status(thm)],[f939,f986]) ).
fof(f988,plain,
( ( ( ( ( e2 != unit
& op(e2,e2) = e2 )
| op(e2,e2) != e2 )
& ~ sP95_prd )
| sP89_prd )
& ( ( ( e2 = unit
| op(e2,e2) != e2 )
& op(e2,e2) = e2 )
| sP95_prd
| ~ sP89_prd ) ),
inference(NNF_transformation,[status(thm)],[f987]) ).
fof(f989,plain,
( op(e2,e2) = e2
| sP95_prd
| ~ sP89_prd ),
inference(cnf_transformation,[status(thm)],[f988]) ).
fof(f991,plain,
( ~ sP95_prd
| sP89_prd ),
inference(cnf_transformation,[status(thm)],[f988]) ).
fof(f994,definition,
( sP96_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,[sP96_prd])],[]) ).
fof(f995,plain,
( sP90_prd
<=> ( ( ( e3 = unit
| op(e2,e3) != e2 )
& op(e2,e2) = e3 )
| sP96_prd ) ),
inference(formula_renaming,[status(thm)],[f947,f994]) ).
fof(f996,plain,
( ( ( ( ( e3 != unit
& op(e2,e3) = e2 )
| op(e2,e2) != e3 )
& ~ sP96_prd )
| sP90_prd )
& ( ( ( e3 = unit
| op(e2,e3) != e2 )
& op(e2,e2) = e3 )
| sP96_prd
| ~ sP90_prd ) ),
inference(NNF_transformation,[status(thm)],[f995]) ).
fof(f997,plain,
( op(e2,e2) = e3
| sP96_prd
| ~ sP90_prd ),
inference(cnf_transformation,[status(thm)],[f996]) ).
fof(f999,plain,
( ~ sP96_prd
| sP90_prd ),
inference(cnf_transformation,[status(thm)],[f996]) ).
fof(f1002,definition,
( sP97_prd
<=> ( ( ( 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 ) ) ),
introduced(definition,[new_symbols(definition,[sP97_prd])],[]) ).
fof(f1003,plain,
( sP91_prd
<=> ( ( ( e4 = unit
| op(e2,e4) != e2 )
& op(e2,e2) = e4 )
| sP97_prd ) ),
inference(formula_renaming,[status(thm)],[f955,f1002]) ).
fof(f1004,plain,
( ( ( ( ( e4 != unit
& op(e2,e4) = e2 )
| op(e2,e2) != e4 )
& ~ sP97_prd )
| sP91_prd )
& ( ( ( e4 = unit
| op(e2,e4) != e2 )
& op(e2,e2) = e4 )
| sP97_prd
| ~ sP91_prd ) ),
inference(NNF_transformation,[status(thm)],[f1003]) ).
fof(f1005,plain,
( op(e2,e2) = e4
| sP97_prd
| ~ sP91_prd ),
inference(cnf_transformation,[status(thm)],[f1004]) ).
fof(f1007,plain,
( ~ sP97_prd
| sP91_prd ),
inference(cnf_transformation,[status(thm)],[f1004]) ).
fof(f1008,plain,
( op(e2,e4) = e2
| op(e2,e2) != e4
| sP91_prd ),
inference(cnf_transformation,[status(thm)],[f1004]) ).
fof(f1010,definition,
( sP98_prd
<=> ( ( op(e2,e0) != e2
& op(e2,e2) = e0 )
| ( op(e1,e4) != e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP98_prd])],[]) ).
fof(f1011,plain,
( sP92_prd
<=> ( ( op(e2,e1) != e2
& op(e2,e2) = e1 )
| sP98_prd ) ),
inference(formula_renaming,[status(thm)],[f963,f1010]) ).
fof(f1012,plain,
( ( ( ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ~ sP98_prd )
| sP92_prd )
& ( ( op(e2,e1) != e2
& op(e2,e2) = e1 )
| sP98_prd
| ~ sP92_prd ) ),
inference(NNF_transformation,[status(thm)],[f1011]) ).
fof(f1013,plain,
( op(e2,e2) = e1
| sP98_prd
| ~ sP92_prd ),
inference(cnf_transformation,[status(thm)],[f1012]) ).
fof(f1015,plain,
( ~ sP98_prd
| sP92_prd ),
inference(cnf_transformation,[status(thm)],[f1012]) ).
fof(f1017,definition,
( sP99_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,[sP99_prd])],[]) ).
fof(f1018,plain,
( sP93_prd
<=> ( ( ( e0 = unit
| op(e2,e0) != e1 )
& op(e2,e1) = e0 )
| sP99_prd ) ),
inference(formula_renaming,[status(thm)],[f970,f1017]) ).
fof(f1019,plain,
( ( ( ( ( e0 != unit
& op(e2,e0) = e1 )
| op(e2,e1) != e0 )
& ~ sP99_prd )
| sP93_prd )
& ( ( ( e0 = unit
| op(e2,e0) != e1 )
& op(e2,e1) = e0 )
| sP99_prd
| ~ sP93_prd ) ),
inference(NNF_transformation,[status(thm)],[f1018]) ).
fof(f1022,plain,
( ~ sP99_prd
| sP93_prd ),
inference(cnf_transformation,[status(thm)],[f1019]) ).
fof(f1025,definition,
( sP100_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,[sP100_prd])],[]) ).
fof(f1026,plain,
( sP94_prd
<=> ( ( ( e1 = unit
| op(e2,e1) != e1 )
& op(e2,e1) = e1 )
| sP100_prd ) ),
inference(formula_renaming,[status(thm)],[f978,f1025]) ).
fof(f1027,plain,
( ( ( ( ( e1 != unit
& op(e2,e1) = e1 )
| op(e2,e1) != e1 )
& ~ sP100_prd )
| sP94_prd )
& ( ( ( e1 = unit
| op(e2,e1) != e1 )
& op(e2,e1) = e1 )
| sP100_prd
| ~ sP94_prd ) ),
inference(NNF_transformation,[status(thm)],[f1026]) ).
fof(f1028,plain,
( op(e2,e1) = e1
| sP100_prd
| ~ sP94_prd ),
inference(cnf_transformation,[status(thm)],[f1027]) ).
fof(f1030,plain,
( ~ sP100_prd
| sP94_prd ),
inference(cnf_transformation,[status(thm)],[f1027]) ).
fof(f1033,definition,
( sP101_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,[sP101_prd])],[]) ).
fof(f1034,plain,
( sP95_prd
<=> ( ( ( e2 = unit
| op(e2,e2) != e1 )
& op(e2,e1) = e2 )
| sP101_prd ) ),
inference(formula_renaming,[status(thm)],[f986,f1033]) ).
fof(f1035,plain,
( ( ( ( ( e2 != unit
& op(e2,e2) = e1 )
| op(e2,e1) != e2 )
& ~ sP101_prd )
| sP95_prd )
& ( ( ( e2 = unit
| op(e2,e2) != e1 )
& op(e2,e1) = e2 )
| sP101_prd
| ~ sP95_prd ) ),
inference(NNF_transformation,[status(thm)],[f1034]) ).
fof(f1036,plain,
( op(e2,e1) = e2
| sP101_prd
| ~ sP95_prd ),
inference(cnf_transformation,[status(thm)],[f1035]) ).
fof(f1038,plain,
( ~ sP101_prd
| sP95_prd ),
inference(cnf_transformation,[status(thm)],[f1035]) ).
fof(f1041,definition,
( sP102_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,[sP102_prd])],[]) ).
fof(f1042,plain,
( sP96_prd
<=> ( ( ( e3 = unit
| op(e2,e3) != e1 )
& op(e2,e1) = e3 )
| sP102_prd ) ),
inference(formula_renaming,[status(thm)],[f994,f1041]) ).
fof(f1043,plain,
( ( ( ( ( e3 != unit
& op(e2,e3) = e1 )
| op(e2,e1) != e3 )
& ~ sP102_prd )
| sP96_prd )
& ( ( ( e3 = unit
| op(e2,e3) != e1 )
& op(e2,e1) = e3 )
| sP102_prd
| ~ sP96_prd ) ),
inference(NNF_transformation,[status(thm)],[f1042]) ).
fof(f1044,plain,
( op(e2,e1) = e3
| sP102_prd
| ~ sP96_prd ),
inference(cnf_transformation,[status(thm)],[f1043]) ).
fof(f1045,plain,
( e3 = unit
| op(e2,e3) != e1
| sP102_prd
| ~ sP96_prd ),
inference(cnf_transformation,[status(thm)],[f1043]) ).
fof(f1046,plain,
( ~ sP102_prd
| sP96_prd ),
inference(cnf_transformation,[status(thm)],[f1043]) ).
fof(f1047,plain,
( op(e2,e3) = e1
| op(e2,e1) != e3
| sP96_prd ),
inference(cnf_transformation,[status(thm)],[f1043]) ).
fof(f1049,definition,
( sP103_prd
<=> ( ( ( 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 ) ) ),
introduced(definition,[new_symbols(definition,[sP103_prd])],[]) ).
fof(f1050,plain,
( sP97_prd
<=> ( ( ( e4 = unit
| op(e2,e4) != e1 )
& op(e2,e1) = e4 )
| sP103_prd ) ),
inference(formula_renaming,[status(thm)],[f1002,f1049]) ).
fof(f1051,plain,
( ( ( ( ( e4 != unit
& op(e2,e4) = e1 )
| op(e2,e1) != e4 )
& ~ sP103_prd )
| sP97_prd )
& ( ( ( e4 = unit
| op(e2,e4) != e1 )
& op(e2,e1) = e4 )
| sP103_prd
| ~ sP97_prd ) ),
inference(NNF_transformation,[status(thm)],[f1050]) ).
fof(f1052,plain,
( op(e2,e1) = e4
| sP103_prd
| ~ sP97_prd ),
inference(cnf_transformation,[status(thm)],[f1051]) ).
fof(f1053,plain,
( e4 = unit
| op(e2,e4) != e1
| sP103_prd
| ~ sP97_prd ),
inference(cnf_transformation,[status(thm)],[f1051]) ).
fof(f1054,plain,
( ~ sP103_prd
| sP97_prd ),
inference(cnf_transformation,[status(thm)],[f1051]) ).
fof(f1055,plain,
( op(e2,e4) = e1
| op(e2,e1) != e4
| sP97_prd ),
inference(cnf_transformation,[status(thm)],[f1051]) ).
fof(f1057,definition,
( sP104_prd
<=> ( ( op(e1,e4) != e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP104_prd])],[]) ).
fof(f1058,plain,
( sP98_prd
<=> ( ( op(e2,e0) != e2
& op(e2,e2) = e0 )
| sP104_prd ) ),
inference(formula_renaming,[status(thm)],[f1010,f1057]) ).
fof(f1059,plain,
( ( ( ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ~ sP104_prd )
| sP98_prd )
& ( ( op(e2,e0) != e2
& op(e2,e2) = e0 )
| sP104_prd
| ~ sP98_prd ) ),
inference(NNF_transformation,[status(thm)],[f1058]) ).
fof(f1061,plain,
( op(e2,e0) != e2
| sP104_prd
| ~ sP98_prd ),
inference(cnf_transformation,[status(thm)],[f1059]) ).
fof(f1062,plain,
( ~ sP104_prd
| sP98_prd ),
inference(cnf_transformation,[status(thm)],[f1059]) ).
fof(f1064,definition,
( sP105_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,[sP105_prd])],[]) ).
fof(f1065,plain,
( sP99_prd
<=> ( ( ( e0 = unit
| op(e2,e0) != e0 )
& op(e2,e0) = e0 )
| sP105_prd ) ),
inference(formula_renaming,[status(thm)],[f1017,f1064]) ).
fof(f1066,plain,
( ( ( ( ( e0 != unit
& op(e2,e0) = e0 )
| op(e2,e0) != e0 )
& ~ sP105_prd )
| sP99_prd )
& ( ( ( e0 = unit
| op(e2,e0) != e0 )
& op(e2,e0) = e0 )
| sP105_prd
| ~ sP99_prd ) ),
inference(NNF_transformation,[status(thm)],[f1065]) ).
fof(f1069,plain,
( ~ sP105_prd
| sP99_prd ),
inference(cnf_transformation,[status(thm)],[f1066]) ).
fof(f1072,definition,
( sP106_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,[sP106_prd])],[]) ).
fof(f1073,plain,
( sP100_prd
<=> ( ( ( e1 = unit
| op(e2,e1) != e0 )
& op(e2,e0) = e1 )
| sP106_prd ) ),
inference(formula_renaming,[status(thm)],[f1025,f1072]) ).
fof(f1074,plain,
( ( ( ( ( e1 != unit
& op(e2,e1) = e0 )
| op(e2,e0) != e1 )
& ~ sP106_prd )
| sP100_prd )
& ( ( ( e1 = unit
| op(e2,e1) != e0 )
& op(e2,e0) = e1 )
| sP106_prd
| ~ sP100_prd ) ),
inference(NNF_transformation,[status(thm)],[f1073]) ).
fof(f1075,plain,
( op(e2,e0) = e1
| sP106_prd
| ~ sP100_prd ),
inference(cnf_transformation,[status(thm)],[f1074]) ).
fof(f1077,plain,
( ~ sP106_prd
| sP100_prd ),
inference(cnf_transformation,[status(thm)],[f1074]) ).
fof(f1080,definition,
( sP107_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,[sP107_prd])],[]) ).
fof(f1081,plain,
( sP101_prd
<=> ( ( ( e2 = unit
| op(e2,e2) != e0 )
& op(e2,e0) = e2 )
| sP107_prd ) ),
inference(formula_renaming,[status(thm)],[f1033,f1080]) ).
fof(f1082,plain,
( ( ( ( ( e2 != unit
& op(e2,e2) = e0 )
| op(e2,e0) != e2 )
& ~ sP107_prd )
| sP101_prd )
& ( ( ( e2 = unit
| op(e2,e2) != e0 )
& op(e2,e0) = e2 )
| sP107_prd
| ~ sP101_prd ) ),
inference(NNF_transformation,[status(thm)],[f1081]) ).
fof(f1084,plain,
( e2 = unit
| op(e2,e2) != e0
| sP107_prd
| ~ sP101_prd ),
inference(cnf_transformation,[status(thm)],[f1082]) ).
fof(f1085,plain,
( ~ sP107_prd
| sP101_prd ),
inference(cnf_transformation,[status(thm)],[f1082]) ).
fof(f1086,plain,
( op(e2,e2) = e0
| op(e2,e0) != e2
| sP101_prd ),
inference(cnf_transformation,[status(thm)],[f1082]) ).
fof(f1088,definition,
( sP108_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,[sP108_prd])],[]) ).
fof(f1089,plain,
( sP102_prd
<=> ( ( ( e3 = unit
| op(e2,e3) != e0 )
& op(e2,e0) = e3 )
| sP108_prd ) ),
inference(formula_renaming,[status(thm)],[f1041,f1088]) ).
fof(f1090,plain,
( ( ( ( ( e3 != unit
& op(e2,e3) = e0 )
| op(e2,e0) != e3 )
& ~ sP108_prd )
| sP102_prd )
& ( ( ( e3 = unit
| op(e2,e3) != e0 )
& op(e2,e0) = e3 )
| sP108_prd
| ~ sP102_prd ) ),
inference(NNF_transformation,[status(thm)],[f1089]) ).
fof(f1091,plain,
( op(e2,e0) = e3
| sP108_prd
| ~ sP102_prd ),
inference(cnf_transformation,[status(thm)],[f1090]) ).
fof(f1093,plain,
( ~ sP108_prd
| sP102_prd ),
inference(cnf_transformation,[status(thm)],[f1090]) ).
fof(f1096,definition,
( sP109_prd
<=> ( ( ( 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 ) ) ),
introduced(definition,[new_symbols(definition,[sP109_prd])],[]) ).
fof(f1097,plain,
( sP103_prd
<=> ( ( ( e4 = unit
| op(e2,e4) != e0 )
& op(e2,e0) = e4 )
| sP109_prd ) ),
inference(formula_renaming,[status(thm)],[f1049,f1096]) ).
fof(f1098,plain,
( ( ( ( ( e4 != unit
& op(e2,e4) = e0 )
| op(e2,e0) != e4 )
& ~ sP109_prd )
| sP103_prd )
& ( ( ( e4 = unit
| op(e2,e4) != e0 )
& op(e2,e0) = e4 )
| sP109_prd
| ~ sP103_prd ) ),
inference(NNF_transformation,[status(thm)],[f1097]) ).
fof(f1099,plain,
( op(e2,e0) = e4
| sP109_prd
| ~ sP103_prd ),
inference(cnf_transformation,[status(thm)],[f1098]) ).
fof(f1101,plain,
( ~ sP109_prd
| sP103_prd ),
inference(cnf_transformation,[status(thm)],[f1098]) ).
fof(f1104,definition,
( sP110_prd
<=> ( ( op(e1,e3) != e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP110_prd])],[]) ).
fof(f1105,plain,
( sP104_prd
<=> ( ( op(e1,e4) != e1
& op(e1,e1) = e4 )
| sP110_prd ) ),
inference(formula_renaming,[status(thm)],[f1057,f1104]) ).
fof(f1106,plain,
( ( ( ( op(e1,e4) = e1
| op(e1,e1) != e4 )
& ~ sP110_prd )
| sP104_prd )
& ( ( op(e1,e4) != e1
& op(e1,e1) = e4 )
| sP110_prd
| ~ sP104_prd ) ),
inference(NNF_transformation,[status(thm)],[f1105]) ).
fof(f1107,plain,
( op(e1,e1) = e4
| sP110_prd
| ~ sP104_prd ),
inference(cnf_transformation,[status(thm)],[f1106]) ).
fof(f1109,plain,
( ~ sP110_prd
| sP104_prd ),
inference(cnf_transformation,[status(thm)],[f1106]) ).
fof(f1110,plain,
( op(e1,e4) = e1
| op(e1,e1) != e4
| sP104_prd ),
inference(cnf_transformation,[status(thm)],[f1106]) ).
fof(f1111,definition,
( sP111_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,[sP111_prd])],[]) ).
fof(f1112,plain,
( sP105_prd
<=> ( ( ( e0 = unit
| op(e1,e0) != e4 )
& op(e1,e4) = e0 )
| sP111_prd ) ),
inference(formula_renaming,[status(thm)],[f1064,f1111]) ).
fof(f1113,plain,
( ( ( ( ( e0 != unit
& op(e1,e0) = e4 )
| op(e1,e4) != e0 )
& ~ sP111_prd )
| sP105_prd )
& ( ( ( e0 = unit
| op(e1,e0) != e4 )
& op(e1,e4) = e0 )
| sP111_prd
| ~ sP105_prd ) ),
inference(NNF_transformation,[status(thm)],[f1112]) ).
fof(f1116,plain,
( ~ sP111_prd
| sP105_prd ),
inference(cnf_transformation,[status(thm)],[f1113]) ).
fof(f1119,definition,
( sP112_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,[sP112_prd])],[]) ).
fof(f1120,plain,
( sP106_prd
<=> ( ( ( e1 = unit
| op(e1,e1) != e4 )
& op(e1,e4) = e1 )
| sP112_prd ) ),
inference(formula_renaming,[status(thm)],[f1072,f1119]) ).
fof(f1121,plain,
( ( ( ( ( e1 != unit
& op(e1,e1) = e4 )
| op(e1,e4) != e1 )
& ~ sP112_prd )
| sP106_prd )
& ( ( ( e1 = unit
| op(e1,e1) != e4 )
& op(e1,e4) = e1 )
| sP112_prd
| ~ sP106_prd ) ),
inference(NNF_transformation,[status(thm)],[f1120]) ).
fof(f1122,plain,
( op(e1,e4) = e1
| sP112_prd
| ~ sP106_prd ),
inference(cnf_transformation,[status(thm)],[f1121]) ).
fof(f1124,plain,
( ~ sP112_prd
| sP106_prd ),
inference(cnf_transformation,[status(thm)],[f1121]) ).
fof(f1127,definition,
( sP113_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,[sP113_prd])],[]) ).
fof(f1128,plain,
( sP107_prd
<=> ( ( ( e2 = unit
| op(e1,e2) != e4 )
& op(e1,e4) = e2 )
| sP113_prd ) ),
inference(formula_renaming,[status(thm)],[f1080,f1127]) ).
fof(f1129,plain,
( ( ( ( ( e2 != unit
& op(e1,e2) = e4 )
| op(e1,e4) != e2 )
& ~ sP113_prd )
| sP107_prd )
& ( ( ( e2 = unit
| op(e1,e2) != e4 )
& op(e1,e4) = e2 )
| sP113_prd
| ~ sP107_prd ) ),
inference(NNF_transformation,[status(thm)],[f1128]) ).
fof(f1130,plain,
( op(e1,e4) = e2
| sP113_prd
| ~ sP107_prd ),
inference(cnf_transformation,[status(thm)],[f1129]) ).
fof(f1131,plain,
( e2 = unit
| op(e1,e2) != e4
| sP113_prd
| ~ sP107_prd ),
inference(cnf_transformation,[status(thm)],[f1129]) ).
fof(f1132,plain,
( ~ sP113_prd
| sP107_prd ),
inference(cnf_transformation,[status(thm)],[f1129]) ).
fof(f1133,plain,
( op(e1,e2) = e4
| op(e1,e4) != e2
| sP107_prd ),
inference(cnf_transformation,[status(thm)],[f1129]) ).
fof(f1135,definition,
( sP114_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,[sP114_prd])],[]) ).
fof(f1136,plain,
( sP108_prd
<=> ( ( ( e3 = unit
| op(e1,e3) != e4 )
& op(e1,e4) = e3 )
| sP114_prd ) ),
inference(formula_renaming,[status(thm)],[f1088,f1135]) ).
fof(f1137,plain,
( ( ( ( ( e3 != unit
& op(e1,e3) = e4 )
| op(e1,e4) != e3 )
& ~ sP114_prd )
| sP108_prd )
& ( ( ( e3 = unit
| op(e1,e3) != e4 )
& op(e1,e4) = e3 )
| sP114_prd
| ~ sP108_prd ) ),
inference(NNF_transformation,[status(thm)],[f1136]) ).
fof(f1138,plain,
( op(e1,e4) = e3
| sP114_prd
| ~ sP108_prd ),
inference(cnf_transformation,[status(thm)],[f1137]) ).
fof(f1139,plain,
( e3 = unit
| op(e1,e3) != e4
| sP114_prd
| ~ sP108_prd ),
inference(cnf_transformation,[status(thm)],[f1137]) ).
fof(f1140,plain,
( ~ sP114_prd
| sP108_prd ),
inference(cnf_transformation,[status(thm)],[f1137]) ).
fof(f1141,plain,
( op(e1,e3) = e4
| op(e1,e4) != e3
| sP108_prd ),
inference(cnf_transformation,[status(thm)],[f1137]) ).
fof(f1143,definition,
( sP115_prd
<=> ( ( ( 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 ) ) ),
introduced(definition,[new_symbols(definition,[sP115_prd])],[]) ).
fof(f1144,plain,
( sP109_prd
<=> ( ( ( e4 = unit
| op(e1,e4) != e4 )
& op(e1,e4) = e4 )
| sP115_prd ) ),
inference(formula_renaming,[status(thm)],[f1096,f1143]) ).
fof(f1145,plain,
( ( ( ( ( e4 != unit
& op(e1,e4) = e4 )
| op(e1,e4) != e4 )
& ~ sP115_prd )
| sP109_prd )
& ( ( ( e4 = unit
| op(e1,e4) != e4 )
& op(e1,e4) = e4 )
| sP115_prd
| ~ sP109_prd ) ),
inference(NNF_transformation,[status(thm)],[f1144]) ).
fof(f1146,plain,
( op(e1,e4) = e4
| sP115_prd
| ~ sP109_prd ),
inference(cnf_transformation,[status(thm)],[f1145]) ).
fof(f1148,plain,
( ~ sP115_prd
| sP109_prd ),
inference(cnf_transformation,[status(thm)],[f1145]) ).
fof(f1151,definition,
( sP116_prd
<=> ( ( op(e1,e2) != e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP116_prd])],[]) ).
fof(f1152,plain,
( sP110_prd
<=> ( ( op(e1,e3) != e1
& op(e1,e1) = e3 )
| sP116_prd ) ),
inference(formula_renaming,[status(thm)],[f1104,f1151]) ).
fof(f1153,plain,
( ( ( ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ~ sP116_prd )
| sP110_prd )
& ( ( op(e1,e3) != e1
& op(e1,e1) = e3 )
| sP116_prd
| ~ sP110_prd ) ),
inference(NNF_transformation,[status(thm)],[f1152]) ).
fof(f1154,plain,
( op(e1,e1) = e3
| sP116_prd
| ~ sP110_prd ),
inference(cnf_transformation,[status(thm)],[f1153]) ).
fof(f1156,plain,
( ~ sP116_prd
| sP110_prd ),
inference(cnf_transformation,[status(thm)],[f1153]) ).
fof(f1157,plain,
( op(e1,e3) = e1
| op(e1,e1) != e3
| sP110_prd ),
inference(cnf_transformation,[status(thm)],[f1153]) ).
fof(f1158,definition,
( sP117_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,[sP117_prd])],[]) ).
fof(f1159,plain,
( sP111_prd
<=> ( ( ( e0 = unit
| op(e1,e0) != e3 )
& op(e1,e3) = e0 )
| sP117_prd ) ),
inference(formula_renaming,[status(thm)],[f1111,f1158]) ).
fof(f1160,plain,
( ( ( ( ( e0 != unit
& op(e1,e0) = e3 )
| op(e1,e3) != e0 )
& ~ sP117_prd )
| sP111_prd )
& ( ( ( e0 = unit
| op(e1,e0) != e3 )
& op(e1,e3) = e0 )
| sP117_prd
| ~ sP111_prd ) ),
inference(NNF_transformation,[status(thm)],[f1159]) ).
fof(f1163,plain,
( ~ sP117_prd
| sP111_prd ),
inference(cnf_transformation,[status(thm)],[f1160]) ).
fof(f1166,definition,
( sP118_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,[sP118_prd])],[]) ).
fof(f1167,plain,
( sP112_prd
<=> ( ( ( e1 = unit
| op(e1,e1) != e3 )
& op(e1,e3) = e1 )
| sP118_prd ) ),
inference(formula_renaming,[status(thm)],[f1119,f1166]) ).
fof(f1168,plain,
( ( ( ( ( e1 != unit
& op(e1,e1) = e3 )
| op(e1,e3) != e1 )
& ~ sP118_prd )
| sP112_prd )
& ( ( ( e1 = unit
| op(e1,e1) != e3 )
& op(e1,e3) = e1 )
| sP118_prd
| ~ sP112_prd ) ),
inference(NNF_transformation,[status(thm)],[f1167]) ).
fof(f1169,plain,
( op(e1,e3) = e1
| sP118_prd
| ~ sP112_prd ),
inference(cnf_transformation,[status(thm)],[f1168]) ).
fof(f1171,plain,
( ~ sP118_prd
| sP112_prd ),
inference(cnf_transformation,[status(thm)],[f1168]) ).
fof(f1174,definition,
( sP119_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,[sP119_prd])],[]) ).
fof(f1175,plain,
( sP113_prd
<=> ( ( ( e2 = unit
| op(e1,e2) != e3 )
& op(e1,e3) = e2 )
| sP119_prd ) ),
inference(formula_renaming,[status(thm)],[f1127,f1174]) ).
fof(f1176,plain,
( ( ( ( ( e2 != unit
& op(e1,e2) = e3 )
| op(e1,e3) != e2 )
& ~ sP119_prd )
| sP113_prd )
& ( ( ( e2 = unit
| op(e1,e2) != e3 )
& op(e1,e3) = e2 )
| sP119_prd
| ~ sP113_prd ) ),
inference(NNF_transformation,[status(thm)],[f1175]) ).
fof(f1177,plain,
( op(e1,e3) = e2
| sP119_prd
| ~ sP113_prd ),
inference(cnf_transformation,[status(thm)],[f1176]) ).
fof(f1178,plain,
( e2 = unit
| op(e1,e2) != e3
| sP119_prd
| ~ sP113_prd ),
inference(cnf_transformation,[status(thm)],[f1176]) ).
fof(f1179,plain,
( ~ sP119_prd
| sP113_prd ),
inference(cnf_transformation,[status(thm)],[f1176]) ).
fof(f1180,plain,
( op(e1,e2) = e3
| op(e1,e3) != e2
| sP113_prd ),
inference(cnf_transformation,[status(thm)],[f1176]) ).
fof(f1182,definition,
( sP120_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,[sP120_prd])],[]) ).
fof(f1183,plain,
( sP114_prd
<=> ( ( ( e3 = unit
| op(e1,e3) != e3 )
& op(e1,e3) = e3 )
| sP120_prd ) ),
inference(formula_renaming,[status(thm)],[f1135,f1182]) ).
fof(f1184,plain,
( ( ( ( ( e3 != unit
& op(e1,e3) = e3 )
| op(e1,e3) != e3 )
& ~ sP120_prd )
| sP114_prd )
& ( ( ( e3 = unit
| op(e1,e3) != e3 )
& op(e1,e3) = e3 )
| sP120_prd
| ~ sP114_prd ) ),
inference(NNF_transformation,[status(thm)],[f1183]) ).
fof(f1185,plain,
( op(e1,e3) = e3
| sP120_prd
| ~ sP114_prd ),
inference(cnf_transformation,[status(thm)],[f1184]) ).
fof(f1187,plain,
( ~ sP120_prd
| sP114_prd ),
inference(cnf_transformation,[status(thm)],[f1184]) ).
fof(f1190,definition,
( sP121_prd
<=> ( ( ( 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 ) ) ),
introduced(definition,[new_symbols(definition,[sP121_prd])],[]) ).
fof(f1191,plain,
( sP115_prd
<=> ( ( ( e4 = unit
| op(e1,e4) != e3 )
& op(e1,e3) = e4 )
| sP121_prd ) ),
inference(formula_renaming,[status(thm)],[f1143,f1190]) ).
fof(f1192,plain,
( ( ( ( ( e4 != unit
& op(e1,e4) = e3 )
| op(e1,e3) != e4 )
& ~ sP121_prd )
| sP115_prd )
& ( ( ( e4 = unit
| op(e1,e4) != e3 )
& op(e1,e3) = e4 )
| sP121_prd
| ~ sP115_prd ) ),
inference(NNF_transformation,[status(thm)],[f1191]) ).
fof(f1193,plain,
( op(e1,e3) = e4
| sP121_prd
| ~ sP115_prd ),
inference(cnf_transformation,[status(thm)],[f1192]) ).
fof(f1194,plain,
( e4 = unit
| op(e1,e4) != e3
| sP121_prd
| ~ sP115_prd ),
inference(cnf_transformation,[status(thm)],[f1192]) ).
fof(f1195,plain,
( ~ sP121_prd
| sP115_prd ),
inference(cnf_transformation,[status(thm)],[f1192]) ).
fof(f1196,plain,
( op(e1,e4) = e3
| op(e1,e3) != e4
| sP115_prd ),
inference(cnf_transformation,[status(thm)],[f1192]) ).
fof(f1198,definition,
( sP122_prd
<=> ( ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP122_prd])],[]) ).
fof(f1199,plain,
( sP116_prd
<=> ( ( op(e1,e2) != e1
& op(e1,e1) = e2 )
| sP122_prd ) ),
inference(formula_renaming,[status(thm)],[f1151,f1198]) ).
fof(f1200,plain,
( ( ( ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ~ sP122_prd )
| sP116_prd )
& ( ( op(e1,e2) != e1
& op(e1,e1) = e2 )
| sP122_prd
| ~ sP116_prd ) ),
inference(NNF_transformation,[status(thm)],[f1199]) ).
fof(f1201,plain,
( op(e1,e1) = e2
| sP122_prd
| ~ sP116_prd ),
inference(cnf_transformation,[status(thm)],[f1200]) ).
fof(f1203,plain,
( ~ sP122_prd
| sP116_prd ),
inference(cnf_transformation,[status(thm)],[f1200]) ).
fof(f1204,plain,
( op(e1,e2) = e1
| op(e1,e1) != e2
| sP116_prd ),
inference(cnf_transformation,[status(thm)],[f1200]) ).
fof(f1205,definition,
( sP123_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,[sP123_prd])],[]) ).
fof(f1206,plain,
( sP117_prd
<=> ( ( ( e0 = unit
| op(e1,e0) != e2 )
& op(e1,e2) = e0 )
| sP123_prd ) ),
inference(formula_renaming,[status(thm)],[f1158,f1205]) ).
fof(f1207,plain,
( ( ( ( ( e0 != unit
& op(e1,e0) = e2 )
| op(e1,e2) != e0 )
& ~ sP123_prd )
| sP117_prd )
& ( ( ( e0 = unit
| op(e1,e0) != e2 )
& op(e1,e2) = e0 )
| sP123_prd
| ~ sP117_prd ) ),
inference(NNF_transformation,[status(thm)],[f1206]) ).
fof(f1210,plain,
( ~ sP123_prd
| sP117_prd ),
inference(cnf_transformation,[status(thm)],[f1207]) ).
fof(f1213,definition,
( sP124_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,[sP124_prd])],[]) ).
fof(f1214,plain,
( sP118_prd
<=> ( ( ( e1 = unit
| op(e1,e1) != e2 )
& op(e1,e2) = e1 )
| sP124_prd ) ),
inference(formula_renaming,[status(thm)],[f1166,f1213]) ).
fof(f1215,plain,
( ( ( ( ( e1 != unit
& op(e1,e1) = e2 )
| op(e1,e2) != e1 )
& ~ sP124_prd )
| sP118_prd )
& ( ( ( e1 = unit
| op(e1,e1) != e2 )
& op(e1,e2) = e1 )
| sP124_prd
| ~ sP118_prd ) ),
inference(NNF_transformation,[status(thm)],[f1214]) ).
fof(f1216,plain,
( op(e1,e2) = e1
| sP124_prd
| ~ sP118_prd ),
inference(cnf_transformation,[status(thm)],[f1215]) ).
fof(f1218,plain,
( ~ sP124_prd
| sP118_prd ),
inference(cnf_transformation,[status(thm)],[f1215]) ).
fof(f1221,definition,
( sP125_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,[sP125_prd])],[]) ).
fof(f1222,plain,
( sP119_prd
<=> ( ( ( e2 = unit
| op(e1,e2) != e2 )
& op(e1,e2) = e2 )
| sP125_prd ) ),
inference(formula_renaming,[status(thm)],[f1174,f1221]) ).
fof(f1223,plain,
( ( ( ( ( e2 != unit
& op(e1,e2) = e2 )
| op(e1,e2) != e2 )
& ~ sP125_prd )
| sP119_prd )
& ( ( ( e2 = unit
| op(e1,e2) != e2 )
& op(e1,e2) = e2 )
| sP125_prd
| ~ sP119_prd ) ),
inference(NNF_transformation,[status(thm)],[f1222]) ).
fof(f1224,plain,
( op(e1,e2) = e2
| sP125_prd
| ~ sP119_prd ),
inference(cnf_transformation,[status(thm)],[f1223]) ).
fof(f1226,plain,
( ~ sP125_prd
| sP119_prd ),
inference(cnf_transformation,[status(thm)],[f1223]) ).
fof(f1229,definition,
( sP126_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,[sP126_prd])],[]) ).
fof(f1230,plain,
( sP120_prd
<=> ( ( ( e3 = unit
| op(e1,e3) != e2 )
& op(e1,e2) = e3 )
| sP126_prd ) ),
inference(formula_renaming,[status(thm)],[f1182,f1229]) ).
fof(f1231,plain,
( ( ( ( ( e3 != unit
& op(e1,e3) = e2 )
| op(e1,e2) != e3 )
& ~ sP126_prd )
| sP120_prd )
& ( ( ( e3 = unit
| op(e1,e3) != e2 )
& op(e1,e2) = e3 )
| sP126_prd
| ~ sP120_prd ) ),
inference(NNF_transformation,[status(thm)],[f1230]) ).
fof(f1232,plain,
( op(e1,e2) = e3
| sP126_prd
| ~ sP120_prd ),
inference(cnf_transformation,[status(thm)],[f1231]) ).
fof(f1233,plain,
( e3 = unit
| op(e1,e3) != e2
| sP126_prd
| ~ sP120_prd ),
inference(cnf_transformation,[status(thm)],[f1231]) ).
fof(f1234,plain,
( ~ sP126_prd
| sP120_prd ),
inference(cnf_transformation,[status(thm)],[f1231]) ).
fof(f1235,plain,
( op(e1,e3) = e2
| op(e1,e2) != e3
| sP120_prd ),
inference(cnf_transformation,[status(thm)],[f1231]) ).
fof(f1237,definition,
( sP127_prd
<=> ( ( ( 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 ) ) ),
introduced(definition,[new_symbols(definition,[sP127_prd])],[]) ).
fof(f1238,plain,
( sP121_prd
<=> ( ( ( e4 = unit
| op(e1,e4) != e2 )
& op(e1,e2) = e4 )
| sP127_prd ) ),
inference(formula_renaming,[status(thm)],[f1190,f1237]) ).
fof(f1239,plain,
( ( ( ( ( e4 != unit
& op(e1,e4) = e2 )
| op(e1,e2) != e4 )
& ~ sP127_prd )
| sP121_prd )
& ( ( ( e4 = unit
| op(e1,e4) != e2 )
& op(e1,e2) = e4 )
| sP127_prd
| ~ sP121_prd ) ),
inference(NNF_transformation,[status(thm)],[f1238]) ).
fof(f1240,plain,
( op(e1,e2) = e4
| sP127_prd
| ~ sP121_prd ),
inference(cnf_transformation,[status(thm)],[f1239]) ).
fof(f1241,plain,
( e4 = unit
| op(e1,e4) != e2
| sP127_prd
| ~ sP121_prd ),
inference(cnf_transformation,[status(thm)],[f1239]) ).
fof(f1242,plain,
( ~ sP127_prd
| sP121_prd ),
inference(cnf_transformation,[status(thm)],[f1239]) ).
fof(f1243,plain,
( op(e1,e4) = e2
| op(e1,e2) != e4
| sP121_prd ),
inference(cnf_transformation,[status(thm)],[f1239]) ).
fof(f1245,definition,
( sP128_prd
<=> ( ( op(e1,e0) != e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP128_prd])],[]) ).
fof(f1246,plain,
( sP122_prd
<=> ( ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| sP128_prd ) ),
inference(formula_renaming,[status(thm)],[f1198,f1245]) ).
fof(f1247,plain,
( ( ( ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ~ sP128_prd )
| sP122_prd )
& ( ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| sP128_prd
| ~ sP122_prd ) ),
inference(NNF_transformation,[status(thm)],[f1246]) ).
fof(f1248,plain,
( op(e1,e1) = e1
| sP128_prd
| ~ sP122_prd ),
inference(cnf_transformation,[status(thm)],[f1247]) ).
fof(f1250,plain,
( ~ sP128_prd
| sP122_prd ),
inference(cnf_transformation,[status(thm)],[f1247]) ).
fof(f1252,definition,
( sP129_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,[sP129_prd])],[]) ).
fof(f1253,plain,
( sP123_prd
<=> ( ( ( e0 = unit
| op(e1,e0) != e1 )
& op(e1,e1) = e0 )
| sP129_prd ) ),
inference(formula_renaming,[status(thm)],[f1205,f1252]) ).
fof(f1254,plain,
( ( ( ( ( e0 != unit
& op(e1,e0) = e1 )
| op(e1,e1) != e0 )
& ~ sP129_prd )
| sP123_prd )
& ( ( ( e0 = unit
| op(e1,e0) != e1 )
& op(e1,e1) = e0 )
| sP129_prd
| ~ sP123_prd ) ),
inference(NNF_transformation,[status(thm)],[f1253]) ).
fof(f1257,plain,
( ~ sP129_prd
| sP123_prd ),
inference(cnf_transformation,[status(thm)],[f1254]) ).
fof(f1260,definition,
( sP130_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,[sP130_prd])],[]) ).
fof(f1261,plain,
( sP124_prd
<=> ( ( ( e1 = unit
| op(e1,e1) != e1 )
& op(e1,e1) = e1 )
| sP130_prd ) ),
inference(formula_renaming,[status(thm)],[f1213,f1260]) ).
fof(f1262,plain,
( ( ( ( ( e1 != unit
& op(e1,e1) = e1 )
| op(e1,e1) != e1 )
& ~ sP130_prd )
| sP124_prd )
& ( ( ( e1 = unit
| op(e1,e1) != e1 )
& op(e1,e1) = e1 )
| sP130_prd
| ~ sP124_prd ) ),
inference(NNF_transformation,[status(thm)],[f1261]) ).
fof(f1263,plain,
( op(e1,e1) = e1
| sP130_prd
| ~ sP124_prd ),
inference(cnf_transformation,[status(thm)],[f1262]) ).
fof(f1265,plain,
( ~ sP130_prd
| sP124_prd ),
inference(cnf_transformation,[status(thm)],[f1262]) ).
fof(f1268,definition,
( sP131_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,[sP131_prd])],[]) ).
fof(f1269,plain,
( sP125_prd
<=> ( ( ( e2 = unit
| op(e1,e2) != e1 )
& op(e1,e1) = e2 )
| sP131_prd ) ),
inference(formula_renaming,[status(thm)],[f1221,f1268]) ).
fof(f1270,plain,
( ( ( ( ( e2 != unit
& op(e1,e2) = e1 )
| op(e1,e1) != e2 )
& ~ sP131_prd )
| sP125_prd )
& ( ( ( e2 = unit
| op(e1,e2) != e1 )
& op(e1,e1) = e2 )
| sP131_prd
| ~ sP125_prd ) ),
inference(NNF_transformation,[status(thm)],[f1269]) ).
fof(f1271,plain,
( op(e1,e1) = e2
| sP131_prd
| ~ sP125_prd ),
inference(cnf_transformation,[status(thm)],[f1270]) ).
fof(f1274,plain,
( op(e1,e2) = e1
| op(e1,e1) != e2
| sP125_prd ),
inference(cnf_transformation,[status(thm)],[f1270]) ).
fof(f1276,definition,
( sP132_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,[sP132_prd])],[]) ).
fof(f1277,plain,
( sP126_prd
<=> ( ( ( e3 = unit
| op(e1,e3) != e1 )
& op(e1,e1) = e3 )
| sP132_prd ) ),
inference(formula_renaming,[status(thm)],[f1229,f1276]) ).
fof(f1278,plain,
( ( ( ( ( e3 != unit
& op(e1,e3) = e1 )
| op(e1,e1) != e3 )
& ~ sP132_prd )
| sP126_prd )
& ( ( ( e3 = unit
| op(e1,e3) != e1 )
& op(e1,e1) = e3 )
| sP132_prd
| ~ sP126_prd ) ),
inference(NNF_transformation,[status(thm)],[f1277]) ).
fof(f1279,plain,
( op(e1,e1) = e3
| sP132_prd
| ~ sP126_prd ),
inference(cnf_transformation,[status(thm)],[f1278]) ).
fof(f1281,plain,
( ~ sP132_prd
| sP126_prd ),
inference(cnf_transformation,[status(thm)],[f1278]) ).
fof(f1282,plain,
( op(e1,e3) = e1
| op(e1,e1) != e3
| sP126_prd ),
inference(cnf_transformation,[status(thm)],[f1278]) ).
fof(f1284,definition,
( sP133_prd
<=> ( ( ( 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 ) ) ),
introduced(definition,[new_symbols(definition,[sP133_prd])],[]) ).
fof(f1285,plain,
( sP127_prd
<=> ( ( ( e4 = unit
| op(e1,e4) != e1 )
& op(e1,e1) = e4 )
| sP133_prd ) ),
inference(formula_renaming,[status(thm)],[f1237,f1284]) ).
fof(f1286,plain,
( ( ( ( ( e4 != unit
& op(e1,e4) = e1 )
| op(e1,e1) != e4 )
& ~ sP133_prd )
| sP127_prd )
& ( ( ( e4 = unit
| op(e1,e4) != e1 )
& op(e1,e1) = e4 )
| sP133_prd
| ~ sP127_prd ) ),
inference(NNF_transformation,[status(thm)],[f1285]) ).
fof(f1287,plain,
( op(e1,e1) = e4
| sP133_prd
| ~ sP127_prd ),
inference(cnf_transformation,[status(thm)],[f1286]) ).
fof(f1289,plain,
( ~ sP133_prd
| sP127_prd ),
inference(cnf_transformation,[status(thm)],[f1286]) ).
fof(f1290,plain,
( op(e1,e4) = e1
| op(e1,e1) != e4
| sP127_prd ),
inference(cnf_transformation,[status(thm)],[f1286]) ).
fof(f1292,definition,
( sP134_prd
<=> ( ( op(e0,e4) != e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP134_prd])],[]) ).
fof(f1293,plain,
( sP128_prd
<=> ( ( op(e1,e0) != e1
& op(e1,e1) = e0 )
| sP134_prd ) ),
inference(formula_renaming,[status(thm)],[f1245,f1292]) ).
fof(f1294,plain,
( ( ( ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ~ sP134_prd )
| sP128_prd )
& ( ( op(e1,e0) != e1
& op(e1,e1) = e0 )
| sP134_prd
| ~ sP128_prd ) ),
inference(NNF_transformation,[status(thm)],[f1293]) ).
fof(f1296,plain,
( op(e1,e0) != e1
| sP134_prd
| ~ sP128_prd ),
inference(cnf_transformation,[status(thm)],[f1294]) ).
fof(f1297,plain,
( ~ sP134_prd
| sP128_prd ),
inference(cnf_transformation,[status(thm)],[f1294]) ).
fof(f1299,definition,
( sP135_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,[sP135_prd])],[]) ).
fof(f1300,plain,
( sP129_prd
<=> ( ( ( e0 = unit
| op(e1,e0) != e0 )
& op(e1,e0) = e0 )
| sP135_prd ) ),
inference(formula_renaming,[status(thm)],[f1252,f1299]) ).
fof(f1301,plain,
( ( ( ( ( e0 != unit
& op(e1,e0) = e0 )
| op(e1,e0) != e0 )
& ~ sP135_prd )
| sP129_prd )
& ( ( ( e0 = unit
| op(e1,e0) != e0 )
& op(e1,e0) = e0 )
| sP135_prd
| ~ sP129_prd ) ),
inference(NNF_transformation,[status(thm)],[f1300]) ).
fof(f1304,plain,
( ~ sP135_prd
| sP129_prd ),
inference(cnf_transformation,[status(thm)],[f1301]) ).
fof(f1307,definition,
( sP136_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,[sP136_prd])],[]) ).
fof(f1308,plain,
( sP130_prd
<=> ( ( ( e1 = unit
| op(e1,e1) != e0 )
& op(e1,e0) = e1 )
| sP136_prd ) ),
inference(formula_renaming,[status(thm)],[f1260,f1307]) ).
fof(f1309,plain,
( ( ( ( ( e1 != unit
& op(e1,e1) = e0 )
| op(e1,e0) != e1 )
& ~ sP136_prd )
| sP130_prd )
& ( ( ( e1 = unit
| op(e1,e1) != e0 )
& op(e1,e0) = e1 )
| sP136_prd
| ~ sP130_prd ) ),
inference(NNF_transformation,[status(thm)],[f1308]) ).
fof(f1311,plain,
( e1 = unit
| op(e1,e1) != e0
| sP136_prd
| ~ sP130_prd ),
inference(cnf_transformation,[status(thm)],[f1309]) ).
fof(f1313,plain,
( op(e1,e1) = e0
| op(e1,e0) != e1
| sP130_prd ),
inference(cnf_transformation,[status(thm)],[f1309]) ).
fof(f1315,definition,
( sP137_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,[sP137_prd])],[]) ).
fof(f1316,plain,
( sP131_prd
<=> ( ( ( e2 = unit
| op(e1,e2) != e0 )
& op(e1,e0) = e2 )
| sP137_prd ) ),
inference(formula_renaming,[status(thm)],[f1268,f1315]) ).
fof(f1317,plain,
( ( ( ( ( e2 != unit
& op(e1,e2) = e0 )
| op(e1,e0) != e2 )
& ~ sP137_prd )
| sP131_prd )
& ( ( ( e2 = unit
| op(e1,e2) != e0 )
& op(e1,e0) = e2 )
| sP137_prd
| ~ sP131_prd ) ),
inference(NNF_transformation,[status(thm)],[f1316]) ).
fof(f1318,plain,
( op(e1,e0) = e2
| sP137_prd
| ~ sP131_prd ),
inference(cnf_transformation,[status(thm)],[f1317]) ).
fof(f1323,definition,
( sP138_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,[sP138_prd])],[]) ).
fof(f1324,plain,
( sP132_prd
<=> ( ( ( e3 = unit
| op(e1,e3) != e0 )
& op(e1,e0) = e3 )
| sP138_prd ) ),
inference(formula_renaming,[status(thm)],[f1276,f1323]) ).
fof(f1325,plain,
( ( ( ( ( e3 != unit
& op(e1,e3) = e0 )
| op(e1,e0) != e3 )
& ~ sP138_prd )
| sP132_prd )
& ( ( ( e3 = unit
| op(e1,e3) != e0 )
& op(e1,e0) = e3 )
| sP138_prd
| ~ sP132_prd ) ),
inference(NNF_transformation,[status(thm)],[f1324]) ).
fof(f1326,plain,
( op(e1,e0) = e3
| sP138_prd
| ~ sP132_prd ),
inference(cnf_transformation,[status(thm)],[f1325]) ).
fof(f1328,plain,
( ~ sP138_prd
| sP132_prd ),
inference(cnf_transformation,[status(thm)],[f1325]) ).
fof(f1331,definition,
( sP139_prd
<=> ( ( ( 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 ) ) ),
introduced(definition,[new_symbols(definition,[sP139_prd])],[]) ).
fof(f1332,plain,
( sP133_prd
<=> ( ( ( e4 = unit
| op(e1,e4) != e0 )
& op(e1,e0) = e4 )
| sP139_prd ) ),
inference(formula_renaming,[status(thm)],[f1284,f1331]) ).
fof(f1333,plain,
( ( ( ( ( e4 != unit
& op(e1,e4) = e0 )
| op(e1,e0) != e4 )
& ~ sP139_prd )
| sP133_prd )
& ( ( ( e4 = unit
| op(e1,e4) != e0 )
& op(e1,e0) = e4 )
| sP139_prd
| ~ sP133_prd ) ),
inference(NNF_transformation,[status(thm)],[f1332]) ).
fof(f1334,plain,
( op(e1,e0) = e4
| sP139_prd
| ~ sP133_prd ),
inference(cnf_transformation,[status(thm)],[f1333]) ).
fof(f1336,plain,
( ~ sP139_prd
| sP133_prd ),
inference(cnf_transformation,[status(thm)],[f1333]) ).
fof(f1339,definition,
( sP140_prd
<=> ( ( op(e0,e3) != e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP140_prd])],[]) ).
fof(f1340,plain,
( sP134_prd
<=> ( ( op(e0,e4) != e0
& op(e0,e0) = e4 )
| sP140_prd ) ),
inference(formula_renaming,[status(thm)],[f1292,f1339]) ).
fof(f1341,plain,
( ( ( ( op(e0,e4) = e0
| op(e0,e0) != e4 )
& ~ sP140_prd )
| sP134_prd )
& ( ( op(e0,e4) != e0
& op(e0,e0) = e4 )
| sP140_prd
| ~ sP134_prd ) ),
inference(NNF_transformation,[status(thm)],[f1340]) ).
fof(f1342,plain,
( op(e0,e0) = e4
| sP140_prd
| ~ sP134_prd ),
inference(cnf_transformation,[status(thm)],[f1341]) ).
fof(f1344,plain,
( ~ sP140_prd
| sP134_prd ),
inference(cnf_transformation,[status(thm)],[f1341]) ).
fof(f1345,plain,
( op(e0,e4) = e0
| op(e0,e0) != e4
| sP134_prd ),
inference(cnf_transformation,[status(thm)],[f1341]) ).
fof(f1346,definition,
( sP141_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,[sP141_prd])],[]) ).
fof(f1347,plain,
( sP135_prd
<=> ( ( ( e0 = unit
| op(e0,e0) != e4 )
& op(e0,e4) = e0 )
| sP141_prd ) ),
inference(formula_renaming,[status(thm)],[f1299,f1346]) ).
fof(f1348,plain,
( ( ( ( ( e0 != unit
& op(e0,e0) = e4 )
| op(e0,e4) != e0 )
& ~ sP141_prd )
| sP135_prd )
& ( ( ( e0 = unit
| op(e0,e0) != e4 )
& op(e0,e4) = e0 )
| sP141_prd
| ~ sP135_prd ) ),
inference(NNF_transformation,[status(thm)],[f1347]) ).
fof(f1351,plain,
( ~ sP141_prd
| sP135_prd ),
inference(cnf_transformation,[status(thm)],[f1348]) ).
fof(f1354,definition,
( sP142_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,[sP142_prd])],[]) ).
fof(f1355,plain,
( sP136_prd
<=> ( ( ( e1 = unit
| op(e0,e1) != e4 )
& op(e0,e4) = e1 )
| sP142_prd ) ),
inference(formula_renaming,[status(thm)],[f1307,f1354]) ).
fof(f1356,plain,
( ( ( ( ( e1 != unit
& op(e0,e1) = e4 )
| op(e0,e4) != e1 )
& ~ sP142_prd )
| sP136_prd )
& ( ( ( e1 = unit
| op(e0,e1) != e4 )
& op(e0,e4) = e1 )
| sP142_prd
| ~ sP136_prd ) ),
inference(NNF_transformation,[status(thm)],[f1355]) ).
fof(f1357,plain,
( op(e0,e4) = e1
| sP142_prd
| ~ sP136_prd ),
inference(cnf_transformation,[status(thm)],[f1356]) ).
fof(f1362,definition,
( sP143_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,[sP143_prd])],[]) ).
fof(f1363,plain,
( sP137_prd
<=> ( ( ( e2 = unit
| op(e0,e2) != e4 )
& op(e0,e4) = e2 )
| sP143_prd ) ),
inference(formula_renaming,[status(thm)],[f1315,f1362]) ).
fof(f1364,plain,
( ( ( ( ( e2 != unit
& op(e0,e2) = e4 )
| op(e0,e4) != e2 )
& ~ sP143_prd )
| sP137_prd )
& ( ( ( e2 = unit
| op(e0,e2) != e4 )
& op(e0,e4) = e2 )
| sP143_prd
| ~ sP137_prd ) ),
inference(NNF_transformation,[status(thm)],[f1363]) ).
fof(f1365,plain,
( op(e0,e4) = e2
| sP143_prd
| ~ sP137_prd ),
inference(cnf_transformation,[status(thm)],[f1364]) ).
fof(f1370,definition,
( sP144_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,[sP144_prd])],[]) ).
fof(f1371,plain,
( sP138_prd
<=> ( ( ( e3 = unit
| op(e0,e3) != e4 )
& op(e0,e4) = e3 )
| sP144_prd ) ),
inference(formula_renaming,[status(thm)],[f1323,f1370]) ).
fof(f1372,plain,
( ( ( ( ( e3 != unit
& op(e0,e3) = e4 )
| op(e0,e4) != e3 )
& ~ sP144_prd )
| sP138_prd )
& ( ( ( e3 = unit
| op(e0,e3) != e4 )
& op(e0,e4) = e3 )
| sP144_prd
| ~ sP138_prd ) ),
inference(NNF_transformation,[status(thm)],[f1371]) ).
fof(f1373,plain,
( op(e0,e4) = e3
| sP144_prd
| ~ sP138_prd ),
inference(cnf_transformation,[status(thm)],[f1372]) ).
fof(f1375,plain,
( ~ sP144_prd
| sP138_prd ),
inference(cnf_transformation,[status(thm)],[f1372]) ).
fof(f1378,definition,
( sP145_prd
<=> ( ( ( 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 ) ) ),
introduced(definition,[new_symbols(definition,[sP145_prd])],[]) ).
fof(f1379,plain,
( sP139_prd
<=> ( ( ( e4 = unit
| op(e0,e4) != e4 )
& op(e0,e4) = e4 )
| sP145_prd ) ),
inference(formula_renaming,[status(thm)],[f1331,f1378]) ).
fof(f1380,plain,
( ( ( ( ( e4 != unit
& op(e0,e4) = e4 )
| op(e0,e4) != e4 )
& ~ sP145_prd )
| sP139_prd )
& ( ( ( e4 = unit
| op(e0,e4) != e4 )
& op(e0,e4) = e4 )
| sP145_prd
| ~ sP139_prd ) ),
inference(NNF_transformation,[status(thm)],[f1379]) ).
fof(f1382,plain,
( e4 = unit
| op(e0,e4) != e4
| sP145_prd
| ~ sP139_prd ),
inference(cnf_transformation,[status(thm)],[f1380]) ).
fof(f1383,plain,
( ~ sP145_prd
| sP139_prd ),
inference(cnf_transformation,[status(thm)],[f1380]) ).
fof(f1386,definition,
( sP146_prd
<=> ( ( op(e0,e2) != e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP146_prd])],[]) ).
fof(f1387,plain,
( sP140_prd
<=> ( ( op(e0,e3) != e0
& op(e0,e0) = e3 )
| sP146_prd ) ),
inference(formula_renaming,[status(thm)],[f1339,f1386]) ).
fof(f1388,plain,
( ( ( ( op(e0,e3) = e0
| op(e0,e0) != e3 )
& ~ sP146_prd )
| sP140_prd )
& ( ( op(e0,e3) != e0
& op(e0,e0) = e3 )
| sP146_prd
| ~ sP140_prd ) ),
inference(NNF_transformation,[status(thm)],[f1387]) ).
fof(f1389,plain,
( op(e0,e0) = e3
| sP146_prd
| ~ sP140_prd ),
inference(cnf_transformation,[status(thm)],[f1388]) ).
fof(f1392,plain,
( op(e0,e3) = e0
| op(e0,e0) != e3
| sP140_prd ),
inference(cnf_transformation,[status(thm)],[f1388]) ).
fof(f1393,definition,
( sP147_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,[sP147_prd])],[]) ).
fof(f1394,plain,
( sP141_prd
<=> ( ( ( e0 = unit
| op(e0,e0) != e3 )
& op(e0,e3) = e0 )
| sP147_prd ) ),
inference(formula_renaming,[status(thm)],[f1346,f1393]) ).
fof(f1395,plain,
( ( ( ( ( e0 != unit
& op(e0,e0) = e3 )
| op(e0,e3) != e0 )
& ~ sP147_prd )
| sP141_prd )
& ( ( ( e0 = unit
| op(e0,e0) != e3 )
& op(e0,e3) = e0 )
| sP147_prd
| ~ sP141_prd ) ),
inference(NNF_transformation,[status(thm)],[f1394]) ).
fof(f1398,plain,
( ~ sP147_prd
| sP141_prd ),
inference(cnf_transformation,[status(thm)],[f1395]) ).
fof(f1401,definition,
( sP148_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,[sP148_prd])],[]) ).
fof(f1402,plain,
( sP142_prd
<=> ( ( ( e1 = unit
| op(e0,e1) != e3 )
& op(e0,e3) = e1 )
| sP148_prd ) ),
inference(formula_renaming,[status(thm)],[f1354,f1401]) ).
fof(f1403,plain,
( ( ( ( ( e1 != unit
& op(e0,e1) = e3 )
| op(e0,e3) != e1 )
& ~ sP148_prd )
| sP142_prd )
& ( ( ( e1 = unit
| op(e0,e1) != e3 )
& op(e0,e3) = e1 )
| sP148_prd
| ~ sP142_prd ) ),
inference(NNF_transformation,[status(thm)],[f1402]) ).
fof(f1404,plain,
( op(e0,e3) = e1
| sP148_prd
| ~ sP142_prd ),
inference(cnf_transformation,[status(thm)],[f1403]) ).
fof(f1409,definition,
( sP149_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,[sP149_prd])],[]) ).
fof(f1410,plain,
( sP143_prd
<=> ( ( ( e2 = unit
| op(e0,e2) != e3 )
& op(e0,e3) = e2 )
| sP149_prd ) ),
inference(formula_renaming,[status(thm)],[f1362,f1409]) ).
fof(f1411,plain,
( ( ( ( ( e2 != unit
& op(e0,e2) = e3 )
| op(e0,e3) != e2 )
& ~ sP149_prd )
| sP143_prd )
& ( ( ( e2 = unit
| op(e0,e2) != e3 )
& op(e0,e3) = e2 )
| sP149_prd
| ~ sP143_prd ) ),
inference(NNF_transformation,[status(thm)],[f1410]) ).
fof(f1412,plain,
( op(e0,e3) = e2
| sP149_prd
| ~ sP143_prd ),
inference(cnf_transformation,[status(thm)],[f1411]) ).
fof(f1417,definition,
( sP150_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,[sP150_prd])],[]) ).
fof(f1418,plain,
( sP144_prd
<=> ( ( ( e3 = unit
| op(e0,e3) != e3 )
& op(e0,e3) = e3 )
| sP150_prd ) ),
inference(formula_renaming,[status(thm)],[f1370,f1417]) ).
fof(f1419,plain,
( ( ( ( ( e3 != unit
& op(e0,e3) = e3 )
| op(e0,e3) != e3 )
& ~ sP150_prd )
| sP144_prd )
& ( ( ( e3 = unit
| op(e0,e3) != e3 )
& op(e0,e3) = e3 )
| sP150_prd
| ~ sP144_prd ) ),
inference(NNF_transformation,[status(thm)],[f1418]) ).
fof(f1421,plain,
( e3 = unit
| op(e0,e3) != e3
| sP150_prd
| ~ sP144_prd ),
inference(cnf_transformation,[status(thm)],[f1419]) ).
fof(f1422,plain,
( ~ sP150_prd
| sP144_prd ),
inference(cnf_transformation,[status(thm)],[f1419]) ).
fof(f1425,definition,
( sP151_prd
<=> ( ( ( 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 ) ) ),
introduced(definition,[new_symbols(definition,[sP151_prd])],[]) ).
fof(f1426,plain,
( sP145_prd
<=> ( ( ( e4 = unit
| op(e0,e4) != e3 )
& op(e0,e3) = e4 )
| sP151_prd ) ),
inference(formula_renaming,[status(thm)],[f1378,f1425]) ).
fof(f1427,plain,
( ( ( ( ( e4 != unit
& op(e0,e4) = e3 )
| op(e0,e3) != e4 )
& ~ sP151_prd )
| sP145_prd )
& ( ( ( e4 = unit
| op(e0,e4) != e3 )
& op(e0,e3) = e4 )
| sP151_prd
| ~ sP145_prd ) ),
inference(NNF_transformation,[status(thm)],[f1426]) ).
fof(f1428,plain,
( op(e0,e3) = e4
| sP151_prd
| ~ sP145_prd ),
inference(cnf_transformation,[status(thm)],[f1427]) ).
fof(f1430,plain,
( ~ sP151_prd
| sP145_prd ),
inference(cnf_transformation,[status(thm)],[f1427]) ).
fof(f1433,definition,
( sP152_prd
<=> ( ( op(e0,e1) != e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP152_prd])],[]) ).
fof(f1434,plain,
( sP146_prd
<=> ( ( op(e0,e2) != e0
& op(e0,e0) = e2 )
| sP152_prd ) ),
inference(formula_renaming,[status(thm)],[f1386,f1433]) ).
fof(f1435,plain,
( ( ( ( op(e0,e2) = e0
| op(e0,e0) != e2 )
& ~ sP152_prd )
| sP146_prd )
& ( ( op(e0,e2) != e0
& op(e0,e0) = e2 )
| sP152_prd
| ~ sP146_prd ) ),
inference(NNF_transformation,[status(thm)],[f1434]) ).
fof(f1436,plain,
( op(e0,e0) = e2
| sP152_prd
| ~ sP146_prd ),
inference(cnf_transformation,[status(thm)],[f1435]) ).
fof(f1440,definition,
( sP153_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,[sP153_prd])],[]) ).
fof(f1441,plain,
( sP147_prd
<=> ( ( ( e0 = unit
| op(e0,e0) != e2 )
& op(e0,e2) = e0 )
| sP153_prd ) ),
inference(formula_renaming,[status(thm)],[f1393,f1440]) ).
fof(f1442,plain,
( ( ( ( ( e0 != unit
& op(e0,e0) = e2 )
| op(e0,e2) != e0 )
& ~ sP153_prd )
| sP147_prd )
& ( ( ( e0 = unit
| op(e0,e0) != e2 )
& op(e0,e2) = e0 )
| sP153_prd
| ~ sP147_prd ) ),
inference(NNF_transformation,[status(thm)],[f1441]) ).
fof(f1445,plain,
( ~ sP153_prd
| sP147_prd ),
inference(cnf_transformation,[status(thm)],[f1442]) ).
fof(f1448,definition,
( sP154_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,[sP154_prd])],[]) ).
fof(f1449,plain,
( sP148_prd
<=> ( ( ( e1 = unit
| op(e0,e1) != e2 )
& op(e0,e2) = e1 )
| sP154_prd ) ),
inference(formula_renaming,[status(thm)],[f1401,f1448]) ).
fof(f1450,plain,
( ( ( ( ( e1 != unit
& op(e0,e1) = e2 )
| op(e0,e2) != e1 )
& ~ sP154_prd )
| sP148_prd )
& ( ( ( e1 = unit
| op(e0,e1) != e2 )
& op(e0,e2) = e1 )
| sP154_prd
| ~ sP148_prd ) ),
inference(NNF_transformation,[status(thm)],[f1449]) ).
fof(f1451,plain,
( op(e0,e2) = e1
| sP154_prd
| ~ sP148_prd ),
inference(cnf_transformation,[status(thm)],[f1450]) ).
fof(f1456,definition,
( sP155_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,[sP155_prd])],[]) ).
fof(f1457,plain,
( sP149_prd
<=> ( ( ( e2 = unit
| op(e0,e2) != e2 )
& op(e0,e2) = e2 )
| sP155_prd ) ),
inference(formula_renaming,[status(thm)],[f1409,f1456]) ).
fof(f1458,plain,
( ( ( ( ( e2 != unit
& op(e0,e2) = e2 )
| op(e0,e2) != e2 )
& ~ sP155_prd )
| sP149_prd )
& ( ( ( e2 = unit
| op(e0,e2) != e2 )
& op(e0,e2) = e2 )
| sP155_prd
| ~ sP149_prd ) ),
inference(NNF_transformation,[status(thm)],[f1457]) ).
fof(f1460,plain,
( e2 = unit
| op(e0,e2) != e2
| sP155_prd
| ~ sP149_prd ),
inference(cnf_transformation,[status(thm)],[f1458]) ).
fof(f1464,definition,
( sP156_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,[sP156_prd])],[]) ).
fof(f1465,plain,
( sP150_prd
<=> ( ( ( e3 = unit
| op(e0,e3) != e2 )
& op(e0,e2) = e3 )
| sP156_prd ) ),
inference(formula_renaming,[status(thm)],[f1417,f1464]) ).
fof(f1466,plain,
( ( ( ( ( e3 != unit
& op(e0,e3) = e2 )
| op(e0,e2) != e3 )
& ~ sP156_prd )
| sP150_prd )
& ( ( ( e3 = unit
| op(e0,e3) != e2 )
& op(e0,e2) = e3 )
| sP156_prd
| ~ sP150_prd ) ),
inference(NNF_transformation,[status(thm)],[f1465]) ).
fof(f1467,plain,
( op(e0,e2) = e3
| sP156_prd
| ~ sP150_prd ),
inference(cnf_transformation,[status(thm)],[f1466]) ).
fof(f1469,plain,
( ~ sP156_prd
| sP150_prd ),
inference(cnf_transformation,[status(thm)],[f1466]) ).
fof(f1472,definition,
( sP157_prd
<=> ( ( ( e4 = unit
| op(e0,e4) != e1 )
& op(e0,e1) = e4 )
| ( ( e4 = unit
| op(e0,e4) != e0 )
& op(e0,e0) = e4 ) ) ),
introduced(definition,[new_symbols(definition,[sP157_prd])],[]) ).
fof(f1473,plain,
( sP151_prd
<=> ( ( ( e4 = unit
| op(e0,e4) != e2 )
& op(e0,e2) = e4 )
| sP157_prd ) ),
inference(formula_renaming,[status(thm)],[f1425,f1472]) ).
fof(f1474,plain,
( ( ( ( ( e4 != unit
& op(e0,e4) = e2 )
| op(e0,e2) != e4 )
& ~ sP157_prd )
| sP151_prd )
& ( ( ( e4 = unit
| op(e0,e4) != e2 )
& op(e0,e2) = e4 )
| sP157_prd
| ~ sP151_prd ) ),
inference(NNF_transformation,[status(thm)],[f1473]) ).
fof(f1475,plain,
( op(e0,e2) = e4
| sP157_prd
| ~ sP151_prd ),
inference(cnf_transformation,[status(thm)],[f1474]) ).
fof(f1477,plain,
( ~ sP157_prd
| sP151_prd ),
inference(cnf_transformation,[status(thm)],[f1474]) ).
fof(f1480,plain,
( ( ( ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 ) )
| sP152_prd )
& ( ( op(e0,e1) != e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0 )
| ~ sP152_prd ) ),
inference(NNF_transformation,[status(thm)],[f1433]) ).
fof(f1483,plain,
( op(e0,e0) = e1
| op(e0,e0) != e0
| ~ sP152_prd ),
inference(cnf_transformation,[status(thm)],[f1480]) ).
fof(f1487,plain,
( ( ( ( ( e0 != unit
& op(e0,e0) = e1 )
| op(e0,e1) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ) )
| sP153_prd )
& ( ( ( e0 = unit
| op(e0,e0) != e1 )
& op(e0,e1) = e0 )
| ( ( e0 = unit
| op(e0,e0) != e0 )
& op(e0,e0) = e0 )
| ~ sP153_prd ) ),
inference(NNF_transformation,[status(thm)],[f1440]) ).
fof(f1493,plain,
( e0 != unit
| op(e0,e0) != e0
| sP153_prd ),
inference(cnf_transformation,[status(thm)],[f1487]) ).
fof(f1496,plain,
( ( ( ( ( e1 != unit
& op(e0,e1) = e1 )
| op(e0,e1) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ) )
| sP154_prd )
& ( ( ( e1 = unit
| op(e0,e1) != e1 )
& op(e0,e1) = e1 )
| ( ( e1 = unit
| op(e0,e1) != e0 )
& op(e0,e0) = e1 )
| ~ sP154_prd ) ),
inference(NNF_transformation,[status(thm)],[f1448]) ).
fof(f1498,plain,
( e1 = unit
| op(e0,e1) != e1
| op(e0,e0) = e1
| ~ sP154_prd ),
inference(cnf_transformation,[status(thm)],[f1496]) ).
fof(f1505,plain,
( ( ( ( ( e2 != unit
& op(e0,e2) = e1 )
| op(e0,e1) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e0 )
| op(e0,e0) != e2 ) )
| sP155_prd )
& ( ( ( e2 = unit
| op(e0,e2) != e1 )
& op(e0,e1) = e2 )
| ( ( e2 = unit
| op(e0,e2) != e0 )
& op(e0,e0) = e2 )
| ~ sP155_prd ) ),
inference(NNF_transformation,[status(thm)],[f1456]) ).
fof(f1506,plain,
( op(e0,e1) = e2
| op(e0,e0) = e2
| ~ sP155_prd ),
inference(cnf_transformation,[status(thm)],[f1505]) ).
fof(f1514,plain,
( ( ( ( ( e3 != unit
& op(e0,e3) = e1 )
| op(e0,e1) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e0 )
| op(e0,e0) != e3 ) )
| sP156_prd )
& ( ( ( e3 = unit
| op(e0,e3) != e1 )
& op(e0,e1) = e3 )
| ( ( e3 = unit
| op(e0,e3) != e0 )
& op(e0,e0) = e3 )
| ~ sP156_prd ) ),
inference(NNF_transformation,[status(thm)],[f1464]) ).
fof(f1515,plain,
( op(e0,e1) = e3
| op(e0,e0) = e3
| ~ sP156_prd ),
inference(cnf_transformation,[status(thm)],[f1514]) ).
fof(f1519,plain,
( op(e0,e3) = e0
| op(e0,e0) != e3
| sP156_prd ),
inference(cnf_transformation,[status(thm)],[f1514]) ).
fof(f1523,plain,
( ( ( ( ( e4 != unit
& op(e0,e4) = e1 )
| op(e0,e1) != e4 )
& ( ( e4 != unit
& op(e0,e4) = e0 )
| op(e0,e0) != e4 ) )
| sP157_prd )
& ( ( ( e4 = unit
| op(e0,e4) != e1 )
& op(e0,e1) = e4 )
| ( ( e4 = unit
| op(e0,e4) != e0 )
& op(e0,e0) = e4 )
| ~ sP157_prd ) ),
inference(NNF_transformation,[status(thm)],[f1472]) ).
fof(f1524,plain,
( op(e0,e1) = e4
| op(e0,e0) = e4
| ~ sP157_prd ),
inference(cnf_transformation,[status(thm)],[f1523]) ).
fof(f1528,plain,
( op(e0,e4) = e0
| op(e0,e0) != e4
| sP157_prd ),
inference(cnf_transformation,[status(thm)],[f1523]) ).
fof(f1532,definition,
( sQ0_spl
<=> op(e0,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f1535,definition,
( sQ1_spl
<=> op(e0,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f1536,plain,
( ~ sQ1_spl
| op(e0,e0) = e1 ),
inference(component_clause,[status(thm)],[f1535]) ).
fof(f1538,definition,
( sQ2_spl
<=> op(e0,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f1539,plain,
( ~ sQ2_spl
| op(e0,e0) = e2 ),
inference(component_clause,[status(thm)],[f1538]) ).
fof(f1541,definition,
( sQ3_spl
<=> op(e0,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f1544,definition,
( sQ4_spl
<=> op(e0,e0) = e4 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f1548,definition,
( sQ5_spl
<=> op(e0,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f1549,plain,
( ~ sQ5_spl
| op(e0,e1) = e0 ),
inference(component_clause,[status(thm)],[f1548]) ).
fof(f1551,definition,
( sQ6_spl
<=> op(e0,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f1552,plain,
( ~ sQ6_spl
| op(e0,e1) = e1 ),
inference(component_clause,[status(thm)],[f1551]) ).
fof(f1554,definition,
( sQ7_spl
<=> op(e0,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f1557,definition,
( sQ8_spl
<=> op(e0,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f1558,plain,
( ~ sQ8_spl
| op(e0,e1) = e3 ),
inference(component_clause,[status(thm)],[f1557]) ).
fof(f1560,definition,
( sQ9_spl
<=> op(e0,e1) = e4 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f1561,plain,
( ~ sQ9_spl
| op(e0,e1) = e4 ),
inference(component_clause,[status(thm)],[f1560]) ).
fof(f1564,definition,
( sQ10_spl
<=> op(e0,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f1565,plain,
( ~ sQ10_spl
| op(e0,e2) = e0 ),
inference(component_clause,[status(thm)],[f1564]) ).
fof(f1567,definition,
( sQ11_spl
<=> op(e0,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f1568,plain,
( ~ sQ11_spl
| op(e0,e2) = e1 ),
inference(component_clause,[status(thm)],[f1567]) ).
fof(f1570,definition,
( sQ12_spl
<=> op(e0,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f1571,plain,
( ~ sQ12_spl
| op(e0,e2) = e2 ),
inference(component_clause,[status(thm)],[f1570]) ).
fof(f1572,plain,
( sQ12_spl
| op(e0,e2) != e2 ),
inference(component_clause,[status(thm)],[f1570]) ).
fof(f1573,definition,
( sQ13_spl
<=> op(e0,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f1574,plain,
( ~ sQ13_spl
| op(e0,e2) = e3 ),
inference(component_clause,[status(thm)],[f1573]) ).
fof(f1576,definition,
( sQ14_spl
<=> op(e0,e2) = e4 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f1577,plain,
( ~ sQ14_spl
| op(e0,e2) = e4 ),
inference(component_clause,[status(thm)],[f1576]) ).
fof(f1580,definition,
( sQ15_spl
<=> op(e0,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f1581,plain,
( ~ sQ15_spl
| op(e0,e3) = e0 ),
inference(component_clause,[status(thm)],[f1580]) ).
fof(f1583,definition,
( sQ16_spl
<=> op(e0,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f1584,plain,
( ~ sQ16_spl
| op(e0,e3) = e1 ),
inference(component_clause,[status(thm)],[f1583]) ).
fof(f1586,definition,
( sQ17_spl
<=> op(e0,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f1589,definition,
( sQ18_spl
<=> op(e0,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f1592,definition,
( sQ19_spl
<=> op(e0,e3) = e4 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f1593,plain,
( ~ sQ19_spl
| op(e0,e3) = e4 ),
inference(component_clause,[status(thm)],[f1592]) ).
fof(f1595,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f12,f1580,f1583,f1586,f1589,f1592]) ).
fof(f1596,definition,
( sQ20_spl
<=> op(e0,e4) = e0 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f1597,plain,
( ~ sQ20_spl
| op(e0,e4) = e0 ),
inference(component_clause,[status(thm)],[f1596]) ).
fof(f1599,definition,
( sQ21_spl
<=> op(e0,e4) = e1 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f1600,plain,
( ~ sQ21_spl
| op(e0,e4) = e1 ),
inference(component_clause,[status(thm)],[f1599]) ).
fof(f1602,definition,
( sQ22_spl
<=> op(e0,e4) = e2 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f1603,plain,
( ~ sQ22_spl
| op(e0,e4) = e2 ),
inference(component_clause,[status(thm)],[f1602]) ).
fof(f1605,definition,
( sQ23_spl
<=> op(e0,e4) = e3 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f1606,plain,
( ~ sQ23_spl
| op(e0,e4) = e3 ),
inference(component_clause,[status(thm)],[f1605]) ).
fof(f1608,definition,
( sQ24_spl
<=> op(e0,e4) = e4 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f1609,plain,
( ~ sQ24_spl
| op(e0,e4) = e4 ),
inference(component_clause,[status(thm)],[f1608]) ).
fof(f1610,plain,
( sQ24_spl
| op(e0,e4) != e4 ),
inference(component_clause,[status(thm)],[f1608]) ).
fof(f1612,definition,
( sQ25_spl
<=> op(e1,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f1613,plain,
( ~ sQ25_spl
| op(e1,e0) = e0 ),
inference(component_clause,[status(thm)],[f1612]) ).
fof(f1615,definition,
( sQ26_spl
<=> op(e1,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f1616,plain,
( ~ sQ26_spl
| op(e1,e0) = e1 ),
inference(component_clause,[status(thm)],[f1615]) ).
fof(f1617,plain,
( sQ26_spl
| op(e1,e0) != e1 ),
inference(component_clause,[status(thm)],[f1615]) ).
fof(f1618,definition,
( sQ27_spl
<=> op(e1,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f1619,plain,
( ~ sQ27_spl
| op(e1,e0) = e2 ),
inference(component_clause,[status(thm)],[f1618]) ).
fof(f1621,definition,
( sQ28_spl
<=> op(e1,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f1622,plain,
( ~ sQ28_spl
| op(e1,e0) = e3 ),
inference(component_clause,[status(thm)],[f1621]) ).
fof(f1624,definition,
( sQ29_spl
<=> op(e1,e0) = e4 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f1625,plain,
( ~ sQ29_spl
| op(e1,e0) = e4 ),
inference(component_clause,[status(thm)],[f1624]) ).
fof(f1628,definition,
( sQ30_spl
<=> op(e1,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f1629,plain,
( ~ sQ30_spl
| op(e1,e1) = e0 ),
inference(component_clause,[status(thm)],[f1628]) ).
fof(f1631,definition,
( sQ31_spl
<=> op(e1,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f1634,definition,
( sQ32_spl
<=> op(e1,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f1635,plain,
( ~ sQ32_spl
| op(e1,e1) = e2 ),
inference(component_clause,[status(thm)],[f1634]) ).
fof(f1637,definition,
( sQ33_spl
<=> op(e1,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f1638,plain,
( ~ sQ33_spl
| op(e1,e1) = e3 ),
inference(component_clause,[status(thm)],[f1637]) ).
fof(f1640,definition,
( sQ34_spl
<=> op(e1,e1) = e4 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f1641,plain,
( ~ sQ34_spl
| op(e1,e1) = e4 ),
inference(component_clause,[status(thm)],[f1640]) ).
fof(f1643,plain,
( sQ34_spl
| sQ33_spl
| sQ32_spl
| sQ31_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f15,f1628,f1631,f1634,f1637,f1640]) ).
fof(f1644,definition,
( sQ35_spl
<=> op(e1,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f1645,plain,
( ~ sQ35_spl
| op(e1,e2) = e0 ),
inference(component_clause,[status(thm)],[f1644]) ).
fof(f1647,definition,
( sQ36_spl
<=> op(e1,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f1648,plain,
( ~ sQ36_spl
| op(e1,e2) = e1 ),
inference(component_clause,[status(thm)],[f1647]) ).
fof(f1650,definition,
( sQ37_spl
<=> op(e1,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f1651,plain,
( ~ sQ37_spl
| op(e1,e2) = e2 ),
inference(component_clause,[status(thm)],[f1650]) ).
fof(f1653,definition,
( sQ38_spl
<=> op(e1,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f1654,plain,
( ~ sQ38_spl
| op(e1,e2) = e3 ),
inference(component_clause,[status(thm)],[f1653]) ).
fof(f1655,plain,
( sQ38_spl
| op(e1,e2) != e3 ),
inference(component_clause,[status(thm)],[f1653]) ).
fof(f1656,definition,
( sQ39_spl
<=> op(e1,e2) = e4 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f1657,plain,
( ~ sQ39_spl
| op(e1,e2) = e4 ),
inference(component_clause,[status(thm)],[f1656]) ).
fof(f1659,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f16,f1644,f1647,f1650,f1653,f1656]) ).
fof(f1660,definition,
( sQ40_spl
<=> op(e1,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f1661,plain,
( ~ sQ40_spl
| op(e1,e3) = e0 ),
inference(component_clause,[status(thm)],[f1660]) ).
fof(f1663,definition,
( sQ41_spl
<=> op(e1,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f1666,definition,
( sQ42_spl
<=> op(e1,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f1667,plain,
( ~ sQ42_spl
| op(e1,e3) = e2 ),
inference(component_clause,[status(thm)],[f1666]) ).
fof(f1668,plain,
( sQ42_spl
| op(e1,e3) != e2 ),
inference(component_clause,[status(thm)],[f1666]) ).
fof(f1669,definition,
( sQ43_spl
<=> op(e1,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f1670,plain,
( ~ sQ43_spl
| op(e1,e3) = e3 ),
inference(component_clause,[status(thm)],[f1669]) ).
fof(f1672,definition,
( sQ44_spl
<=> op(e1,e3) = e4 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f1673,plain,
( ~ sQ44_spl
| op(e1,e3) = e4 ),
inference(component_clause,[status(thm)],[f1672]) ).
fof(f1675,plain,
( sQ44_spl
| sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f17,f1660,f1663,f1666,f1669,f1672]) ).
fof(f1676,definition,
( sQ45_spl
<=> op(e1,e4) = e0 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f1677,plain,
( ~ sQ45_spl
| op(e1,e4) = e0 ),
inference(component_clause,[status(thm)],[f1676]) ).
fof(f1679,definition,
( sQ46_spl
<=> op(e1,e4) = e1 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f1682,definition,
( sQ47_spl
<=> op(e1,e4) = e2 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f1683,plain,
( ~ sQ47_spl
| op(e1,e4) = e2 ),
inference(component_clause,[status(thm)],[f1682]) ).
fof(f1685,definition,
( sQ48_spl
<=> op(e1,e4) = e3 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f1686,plain,
( ~ sQ48_spl
| op(e1,e4) = e3 ),
inference(component_clause,[status(thm)],[f1685]) ).
fof(f1688,definition,
( sQ49_spl
<=> op(e1,e4) = e4 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f1691,plain,
( sQ49_spl
| sQ48_spl
| sQ47_spl
| sQ46_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f18,f1676,f1679,f1682,f1685,f1688]) ).
fof(f1692,definition,
( sQ50_spl
<=> op(e2,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f1693,plain,
( ~ sQ50_spl
| op(e2,e0) = e0 ),
inference(component_clause,[status(thm)],[f1692]) ).
fof(f1695,definition,
( sQ51_spl
<=> op(e2,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f1696,plain,
( ~ sQ51_spl
| op(e2,e0) = e1 ),
inference(component_clause,[status(thm)],[f1695]) ).
fof(f1698,definition,
( sQ52_spl
<=> op(e2,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f1699,plain,
( ~ sQ52_spl
| op(e2,e0) = e2 ),
inference(component_clause,[status(thm)],[f1698]) ).
fof(f1701,definition,
( sQ53_spl
<=> op(e2,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f1702,plain,
( ~ sQ53_spl
| op(e2,e0) = e3 ),
inference(component_clause,[status(thm)],[f1701]) ).
fof(f1704,definition,
( sQ54_spl
<=> op(e2,e0) = e4 ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f1705,plain,
( ~ sQ54_spl
| op(e2,e0) = e4 ),
inference(component_clause,[status(thm)],[f1704]) ).
fof(f1708,definition,
( sQ55_spl
<=> op(e2,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f1709,plain,
( ~ sQ55_spl
| op(e2,e1) = e0 ),
inference(component_clause,[status(thm)],[f1708]) ).
fof(f1711,definition,
( sQ56_spl
<=> op(e2,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f1712,plain,
( ~ sQ56_spl
| op(e2,e1) = e1 ),
inference(component_clause,[status(thm)],[f1711]) ).
fof(f1714,definition,
( sQ57_spl
<=> op(e2,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f1715,plain,
( ~ sQ57_spl
| op(e2,e1) = e2 ),
inference(component_clause,[status(thm)],[f1714]) ).
fof(f1717,definition,
( sQ58_spl
<=> op(e2,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f1718,plain,
( ~ sQ58_spl
| op(e2,e1) = e3 ),
inference(component_clause,[status(thm)],[f1717]) ).
fof(f1720,definition,
( sQ59_spl
<=> op(e2,e1) = e4 ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f1721,plain,
( ~ sQ59_spl
| op(e2,e1) = e4 ),
inference(component_clause,[status(thm)],[f1720]) ).
fof(f1723,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f20,f1708,f1711,f1714,f1717,f1720]) ).
fof(f1724,definition,
( sQ60_spl
<=> op(e2,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f1725,plain,
( ~ sQ60_spl
| op(e2,e2) = e0 ),
inference(component_clause,[status(thm)],[f1724]) ).
fof(f1727,definition,
( sQ61_spl
<=> op(e2,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f1728,plain,
( ~ sQ61_spl
| op(e2,e2) = e1 ),
inference(component_clause,[status(thm)],[f1727]) ).
fof(f1730,definition,
( sQ62_spl
<=> op(e2,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f1731,plain,
( ~ sQ62_spl
| op(e2,e2) = e2 ),
inference(component_clause,[status(thm)],[f1730]) ).
fof(f1733,definition,
( sQ63_spl
<=> op(e2,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f1734,plain,
( ~ sQ63_spl
| op(e2,e2) = e3 ),
inference(component_clause,[status(thm)],[f1733]) ).
fof(f1736,definition,
( sQ64_spl
<=> op(e2,e2) = e4 ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f1739,plain,
( sQ64_spl
| sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f21,f1724,f1727,f1730,f1733,f1736]) ).
fof(f1740,definition,
( sQ65_spl
<=> op(e2,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f1741,plain,
( ~ sQ65_spl
| op(e2,e3) = e0 ),
inference(component_clause,[status(thm)],[f1740]) ).
fof(f1743,definition,
( sQ66_spl
<=> op(e2,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f1744,plain,
( ~ sQ66_spl
| op(e2,e3) = e1 ),
inference(component_clause,[status(thm)],[f1743]) ).
fof(f1745,plain,
( sQ66_spl
| op(e2,e3) != e1 ),
inference(component_clause,[status(thm)],[f1743]) ).
fof(f1746,definition,
( sQ67_spl
<=> op(e2,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f1749,definition,
( sQ68_spl
<=> op(e2,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f1750,plain,
( ~ sQ68_spl
| op(e2,e3) = e3 ),
inference(component_clause,[status(thm)],[f1749]) ).
fof(f1752,definition,
( sQ69_spl
<=> op(e2,e3) = e4 ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f1753,plain,
( ~ sQ69_spl
| op(e2,e3) = e4 ),
inference(component_clause,[status(thm)],[f1752]) ).
fof(f1755,plain,
( sQ69_spl
| sQ68_spl
| sQ67_spl
| sQ66_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f22,f1740,f1743,f1746,f1749,f1752]) ).
fof(f1756,definition,
( sQ70_spl
<=> op(e2,e4) = e0 ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f1757,plain,
( ~ sQ70_spl
| op(e2,e4) = e0 ),
inference(component_clause,[status(thm)],[f1756]) ).
fof(f1759,definition,
( sQ71_spl
<=> op(e2,e4) = e1 ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f1760,plain,
( ~ sQ71_spl
| op(e2,e4) = e1 ),
inference(component_clause,[status(thm)],[f1759]) ).
fof(f1762,definition,
( sQ72_spl
<=> op(e2,e4) = e2 ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f1763,plain,
( ~ sQ72_spl
| op(e2,e4) = e2 ),
inference(component_clause,[status(thm)],[f1762]) ).
fof(f1765,definition,
( sQ73_spl
<=> op(e2,e4) = e3 ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f1766,plain,
( ~ sQ73_spl
| op(e2,e4) = e3 ),
inference(component_clause,[status(thm)],[f1765]) ).
fof(f1768,definition,
( sQ74_spl
<=> op(e2,e4) = e4 ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f1771,plain,
( sQ74_spl
| sQ73_spl
| sQ72_spl
| sQ71_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f23,f1756,f1759,f1762,f1765,f1768]) ).
fof(f1772,definition,
( sQ75_spl
<=> op(e3,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f1773,plain,
( ~ sQ75_spl
| op(e3,e0) = e0 ),
inference(component_clause,[status(thm)],[f1772]) ).
fof(f1775,definition,
( sQ76_spl
<=> op(e3,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f1776,plain,
( ~ sQ76_spl
| op(e3,e0) = e1 ),
inference(component_clause,[status(thm)],[f1775]) ).
fof(f1778,definition,
( sQ77_spl
<=> op(e3,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f1779,plain,
( ~ sQ77_spl
| op(e3,e0) = e2 ),
inference(component_clause,[status(thm)],[f1778]) ).
fof(f1781,definition,
( sQ78_spl
<=> op(e3,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f1782,plain,
( ~ sQ78_spl
| op(e3,e0) = e3 ),
inference(component_clause,[status(thm)],[f1781]) ).
fof(f1784,definition,
( sQ79_spl
<=> op(e3,e0) = e4 ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f1785,plain,
( ~ sQ79_spl
| op(e3,e0) = e4 ),
inference(component_clause,[status(thm)],[f1784]) ).
fof(f1787,plain,
( sQ79_spl
| sQ78_spl
| sQ77_spl
| sQ76_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f24,f1772,f1775,f1778,f1781,f1784]) ).
fof(f1788,definition,
( sQ80_spl
<=> op(e3,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f1789,plain,
( ~ sQ80_spl
| op(e3,e1) = e0 ),
inference(component_clause,[status(thm)],[f1788]) ).
fof(f1791,definition,
( sQ81_spl
<=> op(e3,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f1792,plain,
( ~ sQ81_spl
| op(e3,e1) = e1 ),
inference(component_clause,[status(thm)],[f1791]) ).
fof(f1794,definition,
( sQ82_spl
<=> op(e3,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f1795,plain,
( ~ sQ82_spl
| op(e3,e1) = e2 ),
inference(component_clause,[status(thm)],[f1794]) ).
fof(f1797,definition,
( sQ83_spl
<=> op(e3,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f1800,definition,
( sQ84_spl
<=> op(e3,e1) = e4 ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f1801,plain,
( ~ sQ84_spl
| op(e3,e1) = e4 ),
inference(component_clause,[status(thm)],[f1800]) ).
fof(f1803,plain,
( sQ84_spl
| sQ83_spl
| sQ82_spl
| sQ81_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f25,f1788,f1791,f1794,f1797,f1800]) ).
fof(f1804,definition,
( sQ85_spl
<=> op(e3,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f1805,plain,
( ~ sQ85_spl
| op(e3,e2) = e0 ),
inference(component_clause,[status(thm)],[f1804]) ).
fof(f1807,definition,
( sQ86_spl
<=> op(e3,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f1808,plain,
( ~ sQ86_spl
| op(e3,e2) = e1 ),
inference(component_clause,[status(thm)],[f1807]) ).
fof(f1810,definition,
( sQ87_spl
<=> op(e3,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f1811,plain,
( ~ sQ87_spl
| op(e3,e2) = e2 ),
inference(component_clause,[status(thm)],[f1810]) ).
fof(f1813,definition,
( sQ88_spl
<=> op(e3,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f1814,plain,
( ~ sQ88_spl
| op(e3,e2) = e3 ),
inference(component_clause,[status(thm)],[f1813]) ).
fof(f1816,definition,
( sQ89_spl
<=> op(e3,e2) = e4 ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f1817,plain,
( ~ sQ89_spl
| op(e3,e2) = e4 ),
inference(component_clause,[status(thm)],[f1816]) ).
fof(f1819,plain,
( sQ89_spl
| sQ88_spl
| sQ87_spl
| sQ86_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f26,f1804,f1807,f1810,f1813,f1816]) ).
fof(f1820,definition,
( sQ90_spl
<=> op(e3,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f1823,definition,
( sQ91_spl
<=> op(e3,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f1826,definition,
( sQ92_spl
<=> op(e3,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f1827,plain,
( ~ sQ92_spl
| op(e3,e3) = e2 ),
inference(component_clause,[status(thm)],[f1826]) ).
fof(f1829,definition,
( sQ93_spl
<=> op(e3,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f1830,plain,
( ~ sQ93_spl
| op(e3,e3) = e3 ),
inference(component_clause,[status(thm)],[f1829]) ).
fof(f1832,definition,
( sQ94_spl
<=> op(e3,e3) = e4 ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f1833,plain,
( ~ sQ94_spl
| op(e3,e3) = e4 ),
inference(component_clause,[status(thm)],[f1832]) ).
fof(f1835,plain,
( sQ94_spl
| sQ93_spl
| sQ92_spl
| sQ91_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f27,f1820,f1823,f1826,f1829,f1832]) ).
fof(f1836,definition,
( sQ95_spl
<=> op(e3,e4) = e0 ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f1837,plain,
( ~ sQ95_spl
| op(e3,e4) = e0 ),
inference(component_clause,[status(thm)],[f1836]) ).
fof(f1839,definition,
( sQ96_spl
<=> op(e3,e4) = e1 ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f1840,plain,
( ~ sQ96_spl
| op(e3,e4) = e1 ),
inference(component_clause,[status(thm)],[f1839]) ).
fof(f1842,definition,
( sQ97_spl
<=> op(e3,e4) = e2 ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f1843,plain,
( ~ sQ97_spl
| op(e3,e4) = e2 ),
inference(component_clause,[status(thm)],[f1842]) ).
fof(f1845,definition,
( sQ98_spl
<=> op(e3,e4) = e3 ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f1848,definition,
( sQ99_spl
<=> op(e3,e4) = e4 ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f1849,plain,
( ~ sQ99_spl
| op(e3,e4) = e4 ),
inference(component_clause,[status(thm)],[f1848]) ).
fof(f1851,plain,
( sQ99_spl
| sQ98_spl
| sQ97_spl
| sQ96_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f28,f1836,f1839,f1842,f1845,f1848]) ).
fof(f1855,definition,
( sQ101_spl
<=> op(e4,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f1856,plain,
( ~ sQ101_spl
| op(e4,e0) = e1 ),
inference(component_clause,[status(thm)],[f1855]) ).
fof(f1858,definition,
( sQ102_spl
<=> op(e4,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f1859,plain,
( ~ sQ102_spl
| op(e4,e0) = e2 ),
inference(component_clause,[status(thm)],[f1858]) ).
fof(f1861,definition,
( sQ103_spl
<=> op(e4,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f1862,plain,
( ~ sQ103_spl
| op(e4,e0) = e3 ),
inference(component_clause,[status(thm)],[f1861]) ).
fof(f1864,definition,
( sQ104_spl
<=> op(e4,e0) = e4 ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f1865,plain,
( ~ sQ104_spl
| op(e4,e0) = e4 ),
inference(component_clause,[status(thm)],[f1864]) ).
fof(f1866,plain,
( sQ104_spl
| op(e4,e0) != e4 ),
inference(component_clause,[status(thm)],[f1864]) ).
fof(f1868,definition,
( sQ105_spl
<=> op(e4,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f1869,plain,
( ~ sQ105_spl
| op(e4,e1) = e0 ),
inference(component_clause,[status(thm)],[f1868]) ).
fof(f1871,definition,
( sQ106_spl
<=> op(e4,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f1872,plain,
( ~ sQ106_spl
| op(e4,e1) = e1 ),
inference(component_clause,[status(thm)],[f1871]) ).
fof(f1874,definition,
( sQ107_spl
<=> op(e4,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f1875,plain,
( ~ sQ107_spl
| op(e4,e1) = e2 ),
inference(component_clause,[status(thm)],[f1874]) ).
fof(f1877,definition,
( sQ108_spl
<=> op(e4,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f1878,plain,
( ~ sQ108_spl
| op(e4,e1) = e3 ),
inference(component_clause,[status(thm)],[f1877]) ).
fof(f1880,definition,
( sQ109_spl
<=> op(e4,e1) = e4 ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f1881,plain,
( ~ sQ109_spl
| op(e4,e1) = e4 ),
inference(component_clause,[status(thm)],[f1880]) ).
fof(f1883,plain,
( sQ109_spl
| sQ108_spl
| sQ107_spl
| sQ106_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f30,f1868,f1871,f1874,f1877,f1880]) ).
fof(f1884,definition,
( sQ110_spl
<=> op(e4,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f1885,plain,
( ~ sQ110_spl
| op(e4,e2) = e0 ),
inference(component_clause,[status(thm)],[f1884]) ).
fof(f1887,definition,
( sQ111_spl
<=> op(e4,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f1888,plain,
( ~ sQ111_spl
| op(e4,e2) = e1 ),
inference(component_clause,[status(thm)],[f1887]) ).
fof(f1890,definition,
( sQ112_spl
<=> op(e4,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f1891,plain,
( ~ sQ112_spl
| op(e4,e2) = e2 ),
inference(component_clause,[status(thm)],[f1890]) ).
fof(f1893,definition,
( sQ113_spl
<=> op(e4,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f1894,plain,
( ~ sQ113_spl
| op(e4,e2) = e3 ),
inference(component_clause,[status(thm)],[f1893]) ).
fof(f1896,definition,
( sQ114_spl
<=> op(e4,e2) = e4 ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f1897,plain,
( ~ sQ114_spl
| op(e4,e2) = e4 ),
inference(component_clause,[status(thm)],[f1896]) ).
fof(f1899,plain,
( sQ114_spl
| sQ113_spl
| sQ112_spl
| sQ111_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f31,f1884,f1887,f1890,f1893,f1896]) ).
fof(f1900,definition,
( sQ115_spl
<=> op(e4,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f1901,plain,
( ~ sQ115_spl
| op(e4,e3) = e0 ),
inference(component_clause,[status(thm)],[f1900]) ).
fof(f1902,plain,
( sQ115_spl
| op(e4,e3) != e0 ),
inference(component_clause,[status(thm)],[f1900]) ).
fof(f1903,definition,
( sQ116_spl
<=> op(e4,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f1904,plain,
( ~ sQ116_spl
| op(e4,e3) = e1 ),
inference(component_clause,[status(thm)],[f1903]) ).
fof(f1906,definition,
( sQ117_spl
<=> op(e4,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f1907,plain,
( ~ sQ117_spl
| op(e4,e3) = e2 ),
inference(component_clause,[status(thm)],[f1906]) ).
fof(f1909,definition,
( sQ118_spl
<=> op(e4,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f1910,plain,
( ~ sQ118_spl
| op(e4,e3) = e3 ),
inference(component_clause,[status(thm)],[f1909]) ).
fof(f1912,definition,
( sQ119_spl
<=> op(e4,e3) = e4 ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f1913,plain,
( ~ sQ119_spl
| op(e4,e3) = e4 ),
inference(component_clause,[status(thm)],[f1912]) ).
fof(f1915,plain,
( sQ119_spl
| sQ118_spl
| sQ117_spl
| sQ116_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f32,f1900,f1903,f1906,f1909,f1912]) ).
fof(f1916,definition,
( sQ120_spl
<=> op(e4,e4) = e0 ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f1917,plain,
( ~ sQ120_spl
| op(e4,e4) = e0 ),
inference(component_clause,[status(thm)],[f1916]) ).
fof(f1919,definition,
( sQ121_spl
<=> op(e4,e4) = e1 ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f1920,plain,
( ~ sQ121_spl
| op(e4,e4) = e1 ),
inference(component_clause,[status(thm)],[f1919]) ).
fof(f1922,definition,
( sQ122_spl
<=> op(e4,e4) = e2 ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f1923,plain,
( ~ sQ122_spl
| op(e4,e4) = e2 ),
inference(component_clause,[status(thm)],[f1922]) ).
fof(f1925,definition,
( sQ123_spl
<=> op(e4,e4) = e3 ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f1926,plain,
( ~ sQ123_spl
| op(e4,e4) = e3 ),
inference(component_clause,[status(thm)],[f1925]) ).
fof(f1928,definition,
( sQ124_spl
<=> op(e4,e4) = e4 ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f1931,plain,
( sQ124_spl
| sQ123_spl
| sQ122_spl
| sQ121_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f33,f1916,f1919,f1922,f1925,f1928]) ).
fof(f1932,definition,
( sQ125_spl
<=> unit = e0 ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f1935,definition,
( sQ126_spl
<=> unit = e1 ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f1936,plain,
( ~ sQ126_spl
| unit = e1 ),
inference(component_clause,[status(thm)],[f1935]) ).
fof(f1938,definition,
( sQ127_spl
<=> unit = e2 ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f1939,plain,
( ~ sQ127_spl
| unit = e2 ),
inference(component_clause,[status(thm)],[f1938]) ).
fof(f1941,definition,
( sQ128_spl
<=> unit = e3 ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f1942,plain,
( ~ sQ128_spl
| unit = e3 ),
inference(component_clause,[status(thm)],[f1941]) ).
fof(f1944,definition,
( sQ129_spl
<=> unit = e4 ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f1945,plain,
( ~ sQ129_spl
| unit = e4 ),
inference(component_clause,[status(thm)],[f1944]) ).
fof(f1947,plain,
( sQ129_spl
| sQ128_spl
| sQ127_spl
| sQ126_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f44,f1932,f1935,f1938,f1941,f1944]) ).
fof(f1948,plain,
( sQ20_spl
| sQ15_spl
| sQ10_spl
| sQ5_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f45,f1532,f1548,f1564,f1580,f1596]) ).
fof(f1950,plain,
( sQ21_spl
| sQ16_spl
| sQ11_spl
| sQ6_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f47,f1535,f1551,f1567,f1583,f1599]) ).
fof(f1958,plain,
( sQ45_spl
| sQ40_spl
| sQ35_spl
| sQ30_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f55,f1612,f1628,f1644,f1660,f1676]) ).
fof(f1959,plain,
( sQ105_spl
| sQ80_spl
| sQ55_spl
| sQ30_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f56,f1548,f1628,f1708,f1788,f1868]) ).
fof(f1962,plain,
( sQ47_spl
| sQ42_spl
| sQ37_spl
| sQ32_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f59,f1618,f1634,f1650,f1666,f1682]) ).
fof(f1963,plain,
( sQ107_spl
| sQ82_spl
| sQ57_spl
| sQ32_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f60,f1554,f1634,f1714,f1794,f1874]) ).
fof(f1964,plain,
( sQ48_spl
| sQ43_spl
| sQ38_spl
| sQ33_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f61,f1621,f1637,f1653,f1669,f1685]) ).
fof(f1965,plain,
( sQ108_spl
| sQ83_spl
| sQ58_spl
| sQ33_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f62,f1557,f1637,f1717,f1797,f1877]) ).
fof(f1966,plain,
( sQ49_spl
| sQ44_spl
| sQ39_spl
| sQ34_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f63,f1624,f1640,f1656,f1672,f1688]) ).
fof(f1967,plain,
( sQ109_spl
| sQ84_spl
| sQ59_spl
| sQ34_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f64,f1560,f1640,f1720,f1800,f1880]) ).
fof(f1968,plain,
( sQ70_spl
| sQ65_spl
| sQ60_spl
| sQ55_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f65,f1692,f1708,f1724,f1740,f1756]) ).
fof(f1969,plain,
( sQ110_spl
| sQ85_spl
| sQ60_spl
| sQ35_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f66,f1564,f1644,f1724,f1804,f1884]) ).
fof(f1970,plain,
( sQ71_spl
| sQ66_spl
| sQ61_spl
| sQ56_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f67,f1695,f1711,f1727,f1743,f1759]) ).
fof(f1971,plain,
( sQ111_spl
| sQ86_spl
| sQ61_spl
| sQ36_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f68,f1567,f1647,f1727,f1807,f1887]) ).
fof(f1972,plain,
( sQ72_spl
| sQ67_spl
| sQ62_spl
| sQ57_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f69,f1698,f1714,f1730,f1746,f1762]) ).
fof(f1974,plain,
( sQ73_spl
| sQ68_spl
| sQ63_spl
| sQ58_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f71,f1701,f1717,f1733,f1749,f1765]) ).
fof(f1975,plain,
( sQ113_spl
| sQ88_spl
| sQ63_spl
| sQ38_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f72,f1573,f1653,f1733,f1813,f1893]) ).
fof(f1976,plain,
( sQ74_spl
| sQ69_spl
| sQ64_spl
| sQ59_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f73,f1704,f1720,f1736,f1752,f1768]) ).
fof(f1977,plain,
( sQ114_spl
| sQ89_spl
| sQ64_spl
| sQ39_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f74,f1576,f1656,f1736,f1816,f1896]) ).
fof(f1978,plain,
( sQ95_spl
| sQ90_spl
| sQ85_spl
| sQ80_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f75,f1772,f1788,f1804,f1820,f1836]) ).
fof(f1979,plain,
( sQ115_spl
| sQ90_spl
| sQ65_spl
| sQ40_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f76,f1580,f1660,f1740,f1820,f1900]) ).
fof(f1980,plain,
( sQ96_spl
| sQ91_spl
| sQ86_spl
| sQ81_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f77,f1775,f1791,f1807,f1823,f1839]) ).
fof(f1981,plain,
( sQ116_spl
| sQ91_spl
| sQ66_spl
| sQ41_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f78,f1583,f1663,f1743,f1823,f1903]) ).
fof(f1982,plain,
( sQ97_spl
| sQ92_spl
| sQ87_spl
| sQ82_spl
| sQ77_spl ),
inference(split_clause,[status(thm)],[f79,f1778,f1794,f1810,f1826,f1842]) ).
fof(f1983,plain,
( sQ117_spl
| sQ92_spl
| sQ67_spl
| sQ42_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f80,f1586,f1666,f1746,f1826,f1906]) ).
fof(f1986,plain,
( sQ99_spl
| sQ94_spl
| sQ89_spl
| sQ84_spl
| sQ79_spl ),
inference(split_clause,[status(thm)],[f83,f1784,f1800,f1816,f1832,f1848]) ).
fof(f1987,plain,
( sQ119_spl
| sQ94_spl
| sQ69_spl
| sQ44_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f84,f1592,f1672,f1752,f1832,f1912]) ).
fof(f1989,plain,
( sQ120_spl
| sQ95_spl
| sQ70_spl
| sQ45_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f86,f1596,f1676,f1756,f1836,f1916]) ).
fof(f1990,plain,
( sQ121_spl
| sQ116_spl
| sQ111_spl
| sQ106_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f87,f1855,f1871,f1887,f1903,f1919]) ).
fof(f1991,plain,
( sQ121_spl
| sQ96_spl
| sQ71_spl
| sQ46_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f88,f1599,f1679,f1759,f1839,f1919]) ).
fof(f1992,plain,
( sQ122_spl
| sQ117_spl
| sQ112_spl
| sQ107_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f89,f1858,f1874,f1890,f1906,f1922]) ).
fof(f1993,plain,
( sQ122_spl
| sQ97_spl
| sQ72_spl
| sQ47_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f90,f1602,f1682,f1762,f1842,f1922]) ).
fof(f1994,plain,
( sQ123_spl
| sQ118_spl
| sQ113_spl
| sQ108_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f91,f1861,f1877,f1893,f1909,f1925]) ).
fof(f1995,plain,
( sQ123_spl
| sQ98_spl
| sQ73_spl
| sQ48_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f92,f1605,f1685,f1765,f1845,f1925]) ).
fof(f1998,definition,
( sQ130_spl
<=> sP0_prd ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f2001,plain,
( ~ sQ4_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f216,f1998,f1544]) ).
fof(f2002,plain,
( ~ sQ34_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f217,f1998,f1640]) ).
fof(f2003,plain,
( ~ sQ64_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f218,f1998,f1736]) ).
fof(f2004,plain,
( ~ sQ94_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f219,f1998,f1832]) ).
fof(f2006,definition,
( sQ131_spl
<=> sP1_prd ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f2009,plain,
( sQ124_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f221,f2006,f1928]) ).
fof(f2011,definition,
( sQ132_spl
<=> sP2_prd ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f2014,definition,
( sQ133_spl
<=> op(e0,op(e0,e4)) = e4 ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f2017,definition,
( sQ134_spl
<=> op(e4,op(e0,e4)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f2018,plain,
( ~ sQ134_spl
| op(e4,op(e0,e4)) = e0 ),
inference(component_clause,[status(thm)],[f2017]) ).
fof(f2019,plain,
( sQ134_spl
| op(e4,op(e0,e4)) != e0 ),
inference(component_clause,[status(thm)],[f2017]) ).
fof(f2020,plain,
( ~ sQ134_spl
| sQ133_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f223,f2011,f2014,f2017]) ).
fof(f2021,definition,
( sQ135_spl
<=> op(e1,op(e1,e4)) = e4 ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f2022,plain,
( ~ sQ135_spl
| op(e1,op(e1,e4)) = e4 ),
inference(component_clause,[status(thm)],[f2021]) ).
fof(f2023,plain,
( sQ135_spl
| op(e1,op(e1,e4)) != e4 ),
inference(component_clause,[status(thm)],[f2021]) ).
fof(f2024,definition,
( sQ136_spl
<=> op(e4,op(e1,e4)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f2025,plain,
( ~ sQ136_spl
| op(e4,op(e1,e4)) = e1 ),
inference(component_clause,[status(thm)],[f2024]) ).
fof(f2026,plain,
( sQ136_spl
| op(e4,op(e1,e4)) != e1 ),
inference(component_clause,[status(thm)],[f2024]) ).
fof(f2027,plain,
( ~ sQ136_spl
| sQ135_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f224,f2011,f2021,f2024]) ).
fof(f2028,definition,
( sQ137_spl
<=> op(e2,op(e2,e4)) = e4 ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f2029,plain,
( ~ sQ137_spl
| op(e2,op(e2,e4)) = e4 ),
inference(component_clause,[status(thm)],[f2028]) ).
fof(f2030,plain,
( sQ137_spl
| op(e2,op(e2,e4)) != e4 ),
inference(component_clause,[status(thm)],[f2028]) ).
fof(f2031,definition,
( sQ138_spl
<=> op(e4,op(e2,e4)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f2033,plain,
( sQ138_spl
| op(e4,op(e2,e4)) != e2 ),
inference(component_clause,[status(thm)],[f2031]) ).
fof(f2034,plain,
( ~ sQ138_spl
| sQ137_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f225,f2011,f2028,f2031]) ).
fof(f2035,definition,
( sQ139_spl
<=> op(e3,op(e3,e4)) = e4 ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f2036,plain,
( ~ sQ139_spl
| op(e3,op(e3,e4)) = e4 ),
inference(component_clause,[status(thm)],[f2035]) ).
fof(f2037,plain,
( sQ139_spl
| op(e3,op(e3,e4)) != e4 ),
inference(component_clause,[status(thm)],[f2035]) ).
fof(f2038,definition,
( sQ140_spl
<=> op(e4,op(e3,e4)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f2039,plain,
( ~ sQ140_spl
| op(e4,op(e3,e4)) = e3 ),
inference(component_clause,[status(thm)],[f2038]) ).
fof(f2040,plain,
( sQ140_spl
| op(e4,op(e3,e4)) != e3 ),
inference(component_clause,[status(thm)],[f2038]) ).
fof(f2041,plain,
( ~ sQ140_spl
| sQ139_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f226,f2011,f2035,f2038]) ).
fof(f2046,definition,
( sQ142_spl
<=> sP3_prd ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f2051,definition,
( sQ143_spl
<=> sP4_prd ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f2054,plain,
( sQ121_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f230,f2051,f1919]) ).
fof(f2056,definition,
( sQ144_spl
<=> sP5_prd ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f2059,plain,
( sQ122_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f232,f2056,f1922]) ).
fof(f2061,definition,
( sQ145_spl
<=> sP6_prd ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f2064,plain,
( sQ123_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f234,f2061,f1925]) ).
fof(f2066,definition,
( sQ146_spl
<=> sP7_prd ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f2069,plain,
( sQ124_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f236,f2066,f1928]) ).
fof(f2074,plain,
( sQ15_spl
| ~ sQ90_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f241,f1541,f1820,f1580]) ).
fof(f2075,plain,
( sQ20_spl
| ~ sQ120_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f242,f1544,f1916,f1596]) ).
fof(f2078,plain,
( sQ36_spl
| ~ sQ61_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f245,f1634,f1727,f1647]) ).
fof(f2079,plain,
( sQ41_spl
| ~ sQ91_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f246,f1637,f1823,f1663]) ).
fof(f2080,plain,
( sQ46_spl
| ~ sQ121_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f247,f1640,f1919,f1679]) ).
fof(f2084,plain,
( sQ67_spl
| ~ sQ92_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f251,f1733,f1826,f1746]) ).
fof(f2085,plain,
( sQ72_spl
| ~ sQ122_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f252,f1736,f1922,f1762]) ).
fof(f2090,plain,
( sQ98_spl
| ~ sQ123_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f257,f1832,f1925,f1845]) ).
fof(f2092,plain,
( sQ109_spl
| ~ sQ34_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f259,f1919,f1640,f1880]) ).
fof(f2094,plain,
( sQ119_spl
| ~ sQ94_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f261,f1925,f1832,f1912]) ).
fof(f2103,definition,
( sQ149_spl
<=> op(e1,e0) = op(e0,e1) ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f2104,plain,
( ~ sQ149_spl
| op(e1,e0) = op(e0,e1) ),
inference(component_clause,[status(thm)],[f2103]) ).
fof(f2105,plain,
( sQ149_spl
| op(e1,e0) != op(e0,e1) ),
inference(component_clause,[status(thm)],[f2103]) ).
fof(f2106,definition,
( sQ150_spl
<=> op(op(e0,e1),e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f2107,plain,
( ~ sQ150_spl
| op(op(e0,e1),e1) = e0 ),
inference(component_clause,[status(thm)],[f2106]) ).
fof(f2108,plain,
( sQ150_spl
| op(op(e0,e1),e1) != e0 ),
inference(component_clause,[status(thm)],[f2106]) ).
fof(f2113,definition,
( sQ152_spl
<=> op(e2,e0) = op(e0,e2) ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f2114,plain,
( ~ sQ152_spl
| op(e2,e0) = op(e0,e2) ),
inference(component_clause,[status(thm)],[f2113]) ).
fof(f2115,plain,
( sQ152_spl
| op(e2,e0) != op(e0,e2) ),
inference(component_clause,[status(thm)],[f2113]) ).
fof(f2116,definition,
( sQ153_spl
<=> op(op(e0,e2),e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f2118,plain,
( sQ153_spl
| op(op(e0,e2),e2) != e0 ),
inference(component_clause,[status(thm)],[f2116]) ).
fof(f2123,definition,
( sQ155_spl
<=> op(e3,e0) = op(e0,e3) ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f2124,plain,
( ~ sQ155_spl
| op(e3,e0) = op(e0,e3) ),
inference(component_clause,[status(thm)],[f2123]) ).
fof(f2125,plain,
( sQ155_spl
| op(e3,e0) != op(e0,e3) ),
inference(component_clause,[status(thm)],[f2123]) ).
fof(f2129,definition,
( sQ157_spl
<=> op(op(e0,e3),e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f2130,plain,
( ~ sQ157_spl
| op(op(e0,e3),e0) = e3 ),
inference(component_clause,[status(thm)],[f2129]) ).
fof(f2131,plain,
( sQ157_spl
| op(op(e0,e3),e0) != e3 ),
inference(component_clause,[status(thm)],[f2129]) ).
fof(f2133,definition,
( sQ158_spl
<=> op(e4,e0) = op(e0,e4) ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f2134,plain,
( ~ sQ158_spl
| op(e4,e0) = op(e0,e4) ),
inference(component_clause,[status(thm)],[f2133]) ).
fof(f2135,plain,
( sQ158_spl
| op(e4,e0) != op(e0,e4) ),
inference(component_clause,[status(thm)],[f2133]) ).
fof(f2136,definition,
( sQ159_spl
<=> op(op(e0,e4),e4) = e0 ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f2138,plain,
( sQ159_spl
| op(op(e0,e4),e4) != e0 ),
inference(component_clause,[status(thm)],[f2136]) ).
fof(f2146,definition,
( sQ162_spl
<=> op(op(e1,e0),e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f2147,plain,
( ~ sQ162_spl
| op(op(e1,e0),e1) = e0 ),
inference(component_clause,[status(thm)],[f2146]) ).
fof(f2157,definition,
( sQ165_spl
<=> op(e2,e1) = op(e1,e2) ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f2158,plain,
( ~ sQ165_spl
| op(e2,e1) = op(e1,e2) ),
inference(component_clause,[status(thm)],[f2157]) ).
fof(f2159,plain,
( sQ165_spl
| op(e2,e1) != op(e1,e2) ),
inference(component_clause,[status(thm)],[f2157]) ).
fof(f2160,definition,
( sQ166_spl
<=> op(op(e1,e2),e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f2162,plain,
( sQ166_spl
| op(op(e1,e2),e2) != e1 ),
inference(component_clause,[status(thm)],[f2160]) ).
fof(f2163,definition,
( sQ167_spl
<=> op(op(e1,e2),e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f2164,plain,
( ~ sQ167_spl
| op(op(e1,e2),e1) = e2 ),
inference(component_clause,[status(thm)],[f2163]) ).
fof(f2165,plain,
( sQ167_spl
| op(op(e1,e2),e1) != e2 ),
inference(component_clause,[status(thm)],[f2163]) ).
fof(f2166,plain,
( sQ167_spl
| ~ sQ166_spl
| sQ165_spl ),
inference(split_clause,[status(thm)],[f270,f2157,f2160,f2163]) ).
fof(f2167,definition,
( sQ168_spl
<=> op(e3,e1) = op(e1,e3) ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f2168,plain,
( ~ sQ168_spl
| op(e3,e1) = op(e1,e3) ),
inference(component_clause,[status(thm)],[f2167]) ).
fof(f2169,plain,
( sQ168_spl
| op(e3,e1) != op(e1,e3) ),
inference(component_clause,[status(thm)],[f2167]) ).
fof(f2170,definition,
( sQ169_spl
<=> op(op(e1,e3),e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f2171,plain,
( ~ sQ169_spl
| op(op(e1,e3),e3) = e1 ),
inference(component_clause,[status(thm)],[f2170]) ).
fof(f2172,plain,
( sQ169_spl
| op(op(e1,e3),e3) != e1 ),
inference(component_clause,[status(thm)],[f2170]) ).
fof(f2173,definition,
( sQ170_spl
<=> op(op(e1,e3),e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f2174,plain,
( ~ sQ170_spl
| op(op(e1,e3),e1) = e3 ),
inference(component_clause,[status(thm)],[f2173]) ).
fof(f2177,definition,
( sQ171_spl
<=> op(e4,e1) = op(e1,e4) ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f2178,plain,
( ~ sQ171_spl
| op(e4,e1) = op(e1,e4) ),
inference(component_clause,[status(thm)],[f2177]) ).
fof(f2179,plain,
( sQ171_spl
| op(e4,e1) != op(e1,e4) ),
inference(component_clause,[status(thm)],[f2177]) ).
fof(f2180,definition,
( sQ172_spl
<=> op(op(e1,e4),e4) = e1 ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f2181,plain,
( ~ sQ172_spl
| op(op(e1,e4),e4) = e1 ),
inference(component_clause,[status(thm)],[f2180]) ).
fof(f2182,plain,
( sQ172_spl
| op(op(e1,e4),e4) != e1 ),
inference(component_clause,[status(thm)],[f2180]) ).
fof(f2183,definition,
( sQ173_spl
<=> op(op(e1,e4),e1) = e4 ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f2184,plain,
( ~ sQ173_spl
| op(op(e1,e4),e1) = e4 ),
inference(component_clause,[status(thm)],[f2183]) ).
fof(f2190,definition,
( sQ175_spl
<=> op(op(e2,e0),e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f2191,plain,
( ~ sQ175_spl
| op(op(e2,e0),e2) = e0 ),
inference(component_clause,[status(thm)],[f2190]) ).
fof(f2192,plain,
( sQ175_spl
| op(op(e2,e0),e2) != e0 ),
inference(component_clause,[status(thm)],[f2190]) ).
fof(f2194,definition,
( sQ176_spl
<=> op(op(e2,e1),e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f2195,plain,
( ~ sQ176_spl
| op(op(e2,e1),e1) = e2 ),
inference(component_clause,[status(thm)],[f2194]) ).
fof(f2196,plain,
( sQ176_spl
| op(op(e2,e1),e1) != e2 ),
inference(component_clause,[status(thm)],[f2194]) ).
fof(f2197,definition,
( sQ177_spl
<=> op(op(e2,e1),e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f2198,plain,
( ~ sQ177_spl
| op(op(e2,e1),e2) = e1 ),
inference(component_clause,[status(thm)],[f2197]) ).
fof(f2199,plain,
( sQ177_spl
| op(op(e2,e1),e2) != e1 ),
inference(component_clause,[status(thm)],[f2197]) ).
fof(f2208,definition,
( sQ180_spl
<=> op(e3,e2) = op(e2,e3) ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f2209,plain,
( ~ sQ180_spl
| op(e3,e2) = op(e2,e3) ),
inference(component_clause,[status(thm)],[f2208]) ).
fof(f2210,plain,
( sQ180_spl
| op(e3,e2) != op(e2,e3) ),
inference(component_clause,[status(thm)],[f2208]) ).
fof(f2211,definition,
( sQ181_spl
<=> op(op(e2,e3),e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f2214,definition,
( sQ182_spl
<=> op(op(e2,e3),e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f2215,plain,
( ~ sQ182_spl
| op(op(e2,e3),e2) = e3 ),
inference(component_clause,[status(thm)],[f2214]) ).
fof(f2217,plain,
( sQ182_spl
| ~ sQ181_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f276,f2208,f2211,f2214]) ).
fof(f2218,definition,
( sQ183_spl
<=> op(e4,e2) = op(e2,e4) ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f2219,plain,
( ~ sQ183_spl
| op(e4,e2) = op(e2,e4) ),
inference(component_clause,[status(thm)],[f2218]) ).
fof(f2220,plain,
( sQ183_spl
| op(e4,e2) != op(e2,e4) ),
inference(component_clause,[status(thm)],[f2218]) ).
fof(f2221,definition,
( sQ184_spl
<=> op(op(e2,e4),e4) = e2 ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f2222,plain,
( ~ sQ184_spl
| op(op(e2,e4),e4) = e2 ),
inference(component_clause,[status(thm)],[f2221]) ).
fof(f2223,plain,
( sQ184_spl
| op(op(e2,e4),e4) != e2 ),
inference(component_clause,[status(thm)],[f2221]) ).
fof(f2224,definition,
( sQ185_spl
<=> op(op(e2,e4),e2) = e4 ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f2225,plain,
( ~ sQ185_spl
| op(op(e2,e4),e2) = e4 ),
inference(component_clause,[status(thm)],[f2224]) ).
fof(f2227,plain,
( sQ185_spl
| ~ sQ184_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f277,f2218,f2221,f2224]) ).
fof(f2228,definition,
( sQ186_spl
<=> op(op(e3,e0),e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f2230,plain,
( sQ186_spl
| op(op(e3,e0),e0) != e3 ),
inference(component_clause,[status(thm)],[f2228]) ).
fof(f2231,definition,
( sQ187_spl
<=> op(op(e3,e0),e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f2232,plain,
( ~ sQ187_spl
| op(op(e3,e0),e3) = e0 ),
inference(component_clause,[status(thm)],[f2231]) ).
fof(f2233,plain,
( sQ187_spl
| op(op(e3,e0),e3) != e0 ),
inference(component_clause,[status(thm)],[f2231]) ).
fof(f2235,definition,
( sQ188_spl
<=> op(op(e3,e1),e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f2236,plain,
( ~ sQ188_spl
| op(op(e3,e1),e1) = e3 ),
inference(component_clause,[status(thm)],[f2235]) ).
fof(f2237,plain,
( sQ188_spl
| op(op(e3,e1),e1) != e3 ),
inference(component_clause,[status(thm)],[f2235]) ).
fof(f2238,definition,
( sQ189_spl
<=> op(op(e3,e1),e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f2239,plain,
( ~ sQ189_spl
| op(op(e3,e1),e3) = e1 ),
inference(component_clause,[status(thm)],[f2238]) ).
fof(f2242,definition,
( sQ190_spl
<=> op(op(e3,e2),e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f2243,plain,
( ~ sQ190_spl
| op(op(e3,e2),e2) = e3 ),
inference(component_clause,[status(thm)],[f2242]) ).
fof(f2244,plain,
( sQ190_spl
| op(op(e3,e2),e2) != e3 ),
inference(component_clause,[status(thm)],[f2242]) ).
fof(f2245,definition,
( sQ191_spl
<=> op(op(e3,e2),e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f2246,plain,
( ~ sQ191_spl
| op(op(e3,e2),e3) = e2 ),
inference(component_clause,[status(thm)],[f2245]) ).
fof(f2247,plain,
( sQ191_spl
| op(op(e3,e2),e3) != e2 ),
inference(component_clause,[status(thm)],[f2245]) ).
fof(f2248,plain,
( sQ191_spl
| ~ sQ190_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f280,f2208,f2242,f2245]) ).
fof(f2256,definition,
( sQ194_spl
<=> op(e4,e3) = op(e3,e4) ),
introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).
fof(f2257,plain,
( ~ sQ194_spl
| op(e4,e3) = op(e3,e4) ),
inference(component_clause,[status(thm)],[f2256]) ).
fof(f2258,plain,
( sQ194_spl
| op(e4,e3) != op(e3,e4) ),
inference(component_clause,[status(thm)],[f2256]) ).
fof(f2259,definition,
( sQ195_spl
<=> op(op(e3,e4),e4) = e3 ),
introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).
fof(f2260,plain,
( ~ sQ195_spl
| op(op(e3,e4),e4) = e3 ),
inference(component_clause,[status(thm)],[f2259]) ).
fof(f2261,plain,
( sQ195_spl
| op(op(e3,e4),e4) != e3 ),
inference(component_clause,[status(thm)],[f2259]) ).
fof(f2262,definition,
( sQ196_spl
<=> op(op(e3,e4),e3) = e4 ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f2263,plain,
( ~ sQ196_spl
| op(op(e3,e4),e3) = e4 ),
inference(component_clause,[status(thm)],[f2262]) ).
fof(f2265,plain,
( sQ196_spl
| ~ sQ195_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f282,f2256,f2259,f2262]) ).
fof(f2269,definition,
( sQ198_spl
<=> op(op(e4,e0),e4) = e0 ),
introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).
fof(f2270,plain,
( ~ sQ198_spl
| op(op(e4,e0),e4) = e0 ),
inference(component_clause,[status(thm)],[f2269]) ).
fof(f2271,plain,
( sQ198_spl
| op(op(e4,e0),e4) != e0 ),
inference(component_clause,[status(thm)],[f2269]) ).
fof(f2273,definition,
( sQ199_spl
<=> op(op(e4,e1),e1) = e4 ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f2274,plain,
( ~ sQ199_spl
| op(op(e4,e1),e1) = e4 ),
inference(component_clause,[status(thm)],[f2273]) ).
fof(f2275,plain,
( sQ199_spl
| op(op(e4,e1),e1) != e4 ),
inference(component_clause,[status(thm)],[f2273]) ).
fof(f2276,definition,
( sQ200_spl
<=> op(op(e4,e1),e4) = e1 ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f2277,plain,
( ~ sQ200_spl
| op(op(e4,e1),e4) = e1 ),
inference(component_clause,[status(thm)],[f2276]) ).
fof(f2278,plain,
( sQ200_spl
| op(op(e4,e1),e4) != e1 ),
inference(component_clause,[status(thm)],[f2276]) ).
fof(f2279,plain,
( sQ200_spl
| ~ sQ199_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f284,f2177,f2273,f2276]) ).
fof(f2280,definition,
( sQ201_spl
<=> op(op(e4,e2),e2) = e4 ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f2281,plain,
( ~ sQ201_spl
| op(op(e4,e2),e2) = e4 ),
inference(component_clause,[status(thm)],[f2280]) ).
fof(f2282,plain,
( sQ201_spl
| op(op(e4,e2),e2) != e4 ),
inference(component_clause,[status(thm)],[f2280]) ).
fof(f2283,definition,
( sQ202_spl
<=> op(op(e4,e2),e4) = e2 ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f2284,plain,
( ~ sQ202_spl
| op(op(e4,e2),e4) = e2 ),
inference(component_clause,[status(thm)],[f2283]) ).
fof(f2286,plain,
( sQ202_spl
| ~ sQ201_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f285,f2218,f2280,f2283]) ).
fof(f2287,definition,
( sQ203_spl
<=> op(op(e4,e3),e3) = e4 ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f2288,plain,
( ~ sQ203_spl
| op(op(e4,e3),e3) = e4 ),
inference(component_clause,[status(thm)],[f2287]) ).
fof(f2289,plain,
( sQ203_spl
| op(op(e4,e3),e3) != e4 ),
inference(component_clause,[status(thm)],[f2287]) ).
fof(f2290,definition,
( sQ204_spl
<=> op(op(e4,e3),e4) = e3 ),
introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition]) ).
fof(f2291,plain,
( ~ sQ204_spl
| op(op(e4,e3),e4) = e3 ),
inference(component_clause,[status(thm)],[f2290]) ).
fof(f2292,plain,
( sQ204_spl
| op(op(e4,e3),e4) != e3 ),
inference(component_clause,[status(thm)],[f2290]) ).
fof(f2293,plain,
( sQ204_spl
| ~ sQ203_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f286,f2256,f2287,f2290]) ).
fof(f2301,definition,
( sQ207_spl
<=> sP8_prd ),
introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).
fof(f2304,plain,
( ~ sQ3_spl
| sQ207_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f291,f1998,f2301,f1541]) ).
fof(f2305,plain,
( ~ sQ33_spl
| sQ207_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f292,f1998,f2301,f1637]) ).
fof(f2306,plain,
( ~ sQ63_spl
| sQ207_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f293,f1998,f2301,f1733]) ).
fof(f2308,plain,
( ~ sQ123_spl
| sQ207_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f295,f1998,f2301,f1925]) ).
fof(f2309,plain,
( ~ sQ207_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f296,f1998,f2301]) ).
fof(f2310,plain,
( sQ123_spl
| sQ93_spl
| sQ63_spl
| sQ33_spl
| sQ3_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f297,f1998,f1541,f1637,f1733,f1829,f1925]) ).
fof(f2311,definition,
( sQ208_spl
<=> sP9_prd ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f2314,plain,
( sQ123_spl
| sQ208_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f301,f2006,f2311,f1925]) ).
fof(f2318,definition,
( sQ209_spl
<=> sP10_prd ),
introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).
fof(f2321,definition,
( sQ210_spl
<=> sP11_prd ),
introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).
fof(f2324,plain,
( sQ210_spl
| sQ209_spl
| ~ sQ132_spl ),
inference(split_clause,[status(thm)],[f310,f2011,f2318,f2321]) ).
fof(f2325,definition,
( sQ211_spl
<=> op(e4,op(e4,e3)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f2326,plain,
( ~ sQ211_spl
| op(e4,op(e4,e3)) = e3 ),
inference(component_clause,[status(thm)],[f2325]) ).
fof(f2328,definition,
( sQ212_spl
<=> op(e3,op(e4,e3)) = e4 ),
introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).
fof(f2329,plain,
( ~ sQ212_spl
| op(e3,op(e4,e3)) = e4 ),
inference(component_clause,[status(thm)],[f2328]) ).
fof(f2330,plain,
( sQ212_spl
| op(e3,op(e4,e3)) != e4 ),
inference(component_clause,[status(thm)],[f2328]) ).
fof(f2331,plain,
( ~ sQ212_spl
| sQ211_spl
| sQ209_spl
| ~ sQ132_spl ),
inference(split_clause,[status(thm)],[f311,f2011,f2318,f2325,f2328]) ).
fof(f2332,plain,
( ~ sQ209_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f312,f2011,f2318]) ).
fof(f2335,definition,
( sQ213_spl
<=> sP12_prd ),
introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).
fof(f2340,plain,
( ~ sQ213_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f320,f2046,f2335]) ).
fof(f2343,definition,
( sQ214_spl
<=> sP13_prd ),
introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition]) ).
fof(f2346,plain,
( sQ116_spl
| sQ214_spl
| ~ sQ143_spl ),
inference(split_clause,[status(thm)],[f326,f2051,f2343,f1903]) ).
fof(f2347,plain,
( sQ126_spl
| ~ sQ108_spl
| sQ214_spl
| ~ sQ143_spl ),
inference(split_clause,[status(thm)],[f327,f2051,f2343,f1877,f1935]) ).
fof(f2348,plain,
( ~ sQ214_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f328,f2051,f2343]) ).
fof(f2349,plain,
( sQ108_spl
| ~ sQ116_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f329,f2051,f1903,f1877]) ).
fof(f2351,definition,
( sQ215_spl
<=> sP14_prd ),
introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition]) ).
fof(f2354,plain,
( sQ117_spl
| sQ215_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f334,f2056,f2351,f1906]) ).
fof(f2355,plain,
( sQ127_spl
| ~ sQ113_spl
| sQ215_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f335,f2056,f2351,f1893,f1938]) ).
fof(f2356,plain,
( ~ sQ215_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f336,f2056,f2351]) ).
fof(f2359,definition,
( sQ216_spl
<=> sP15_prd ),
introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition]) ).
fof(f2362,plain,
( sQ118_spl
| sQ216_spl
| ~ sQ145_spl ),
inference(split_clause,[status(thm)],[f342,f2061,f2359,f1909]) ).
fof(f2364,plain,
( ~ sQ216_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f344,f2061,f2359]) ).
fof(f2367,definition,
( sQ217_spl
<=> sP16_prd ),
introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition]) ).
fof(f2370,plain,
( sQ119_spl
| sQ217_spl
| ~ sQ146_spl ),
inference(split_clause,[status(thm)],[f350,f2066,f2367,f1912]) ).
fof(f2371,plain,
( sQ129_spl
| ~ sQ123_spl
| sQ217_spl
| ~ sQ146_spl ),
inference(split_clause,[status(thm)],[f351,f2066,f2367,f1925,f1944]) ).
fof(f2375,definition,
( sQ218_spl
<=> sP17_prd ),
introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition]) ).
fof(f2379,plain,
( ~ sQ32_spl
| sQ218_spl
| ~ sQ207_spl ),
inference(split_clause,[status(thm)],[f359,f2301,f2375,f1634]) ).
fof(f2381,plain,
( ~ sQ92_spl
| sQ218_spl
| ~ sQ207_spl ),
inference(split_clause,[status(thm)],[f361,f2301,f2375,f1826]) ).
fof(f2382,plain,
( ~ sQ122_spl
| sQ218_spl
| ~ sQ207_spl ),
inference(split_clause,[status(thm)],[f362,f2301,f2375,f1922]) ).
fof(f2383,plain,
( ~ sQ218_spl
| sQ207_spl ),
inference(split_clause,[status(thm)],[f363,f2301,f2375]) ).
fof(f2384,plain,
( sQ122_spl
| sQ92_spl
| sQ62_spl
| sQ32_spl
| sQ2_spl
| sQ207_spl ),
inference(split_clause,[status(thm)],[f364,f2301,f1538,f1634,f1730,f1826,f1922]) ).
fof(f2385,definition,
( sQ219_spl
<=> sP18_prd ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f2388,plain,
( sQ122_spl
| sQ219_spl
| ~ sQ208_spl ),
inference(split_clause,[status(thm)],[f368,f2311,f2385,f1922]) ).
fof(f2390,plain,
( ~ sQ219_spl
| sQ208_spl ),
inference(split_clause,[status(thm)],[f370,f2311,f2385]) ).
fof(f2392,definition,
( sQ220_spl
<=> sP19_prd ),
introduced(definition,[new_symbols(definition,[sQ220_spl])],[split_symbol_definition]) ).
fof(f2395,definition,
( sQ221_spl
<=> sP20_prd ),
introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition]) ).
fof(f2398,plain,
( sQ221_spl
| sQ220_spl
| ~ sQ209_spl ),
inference(split_clause,[status(thm)],[f377,f2318,f2392,f2395]) ).
fof(f2399,definition,
( sQ222_spl
<=> op(e4,op(e4,e2)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition]) ).
fof(f2400,plain,
( ~ sQ222_spl
| op(e4,op(e4,e2)) = e2 ),
inference(component_clause,[status(thm)],[f2399]) ).
fof(f2401,plain,
( sQ222_spl
| op(e4,op(e4,e2)) != e2 ),
inference(component_clause,[status(thm)],[f2399]) ).
fof(f2402,definition,
( sQ223_spl
<=> op(e2,op(e4,e2)) = e4 ),
introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition]) ).
fof(f2404,plain,
( sQ223_spl
| op(e2,op(e4,e2)) != e4 ),
inference(component_clause,[status(thm)],[f2402]) ).
fof(f2405,plain,
( ~ sQ223_spl
| sQ222_spl
| sQ220_spl
| ~ sQ209_spl ),
inference(split_clause,[status(thm)],[f378,f2318,f2392,f2399,f2402]) ).
fof(f2406,plain,
( ~ sQ220_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f379,f2318,f2392]) ).
fof(f2407,plain,
( ~ sQ222_spl
| ~ sQ221_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f380,f2318,f2395,f2399]) ).
fof(f2409,definition,
( sQ224_spl
<=> sP21_prd ),
introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition]) ).
fof(f2412,plain,
( sQ224_spl
| ~ sQ210_spl ),
inference(split_clause,[status(thm)],[f385,f2321,f2409]) ).
fof(f2413,definition,
( sQ225_spl
<=> op(e3,op(e3,e3)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ225_spl])],[split_symbol_definition]) ).
fof(f2417,plain,
( ~ sQ225_spl
| ~ sQ224_spl
| sQ210_spl ),
inference(split_clause,[status(thm)],[f387,f2321,f2409,f2413]) ).
fof(f2418,plain,
( sQ225_spl
| ~ sQ224_spl
| sQ210_spl ),
inference(split_clause,[status(thm)],[f388,f2321,f2409,f2413]) ).
fof(f2419,definition,
( sQ226_spl
<=> sP22_prd ),
introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition]) ).
fof(f2424,plain,
( ~ sQ226_spl
| sQ213_spl ),
inference(split_clause,[status(thm)],[f394,f2335,f2419]) ).
fof(f2427,definition,
( sQ227_spl
<=> sP23_prd ),
introduced(definition,[new_symbols(definition,[sQ227_spl])],[split_symbol_definition]) ).
fof(f2430,plain,
( sQ111_spl
| sQ227_spl
| ~ sQ214_spl ),
inference(split_clause,[status(thm)],[f400,f2343,f2427,f1887]) ).
fof(f2431,plain,
( sQ126_spl
| ~ sQ107_spl
| sQ227_spl
| ~ sQ214_spl ),
inference(split_clause,[status(thm)],[f401,f2343,f2427,f1874,f1935]) ).
fof(f2432,plain,
( ~ sQ227_spl
| sQ214_spl ),
inference(split_clause,[status(thm)],[f402,f2343,f2427]) ).
fof(f2435,definition,
( sQ228_spl
<=> sP24_prd ),
introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition]) ).
fof(f2438,plain,
( sQ112_spl
| sQ228_spl
| ~ sQ215_spl ),
inference(split_clause,[status(thm)],[f408,f2351,f2435,f1890]) ).
fof(f2440,plain,
( ~ sQ228_spl
| sQ215_spl ),
inference(split_clause,[status(thm)],[f410,f2351,f2435]) ).
fof(f2443,definition,
( sQ229_spl
<=> sP25_prd ),
introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition]) ).
fof(f2446,plain,
( sQ113_spl
| sQ229_spl
| ~ sQ216_spl ),
inference(split_clause,[status(thm)],[f416,f2359,f2443,f1893]) ).
fof(f2447,plain,
( sQ128_spl
| ~ sQ117_spl
| sQ229_spl
| ~ sQ216_spl ),
inference(split_clause,[status(thm)],[f417,f2359,f2443,f1906,f1941]) ).
fof(f2448,plain,
( ~ sQ229_spl
| sQ216_spl ),
inference(split_clause,[status(thm)],[f418,f2359,f2443]) ).
fof(f2451,definition,
( sQ230_spl
<=> sP26_prd ),
introduced(definition,[new_symbols(definition,[sQ230_spl])],[split_symbol_definition]) ).
fof(f2454,plain,
( sQ114_spl
| sQ230_spl
| ~ sQ217_spl ),
inference(split_clause,[status(thm)],[f424,f2367,f2451,f1896]) ).
fof(f2456,plain,
( ~ sQ230_spl
| sQ217_spl ),
inference(split_clause,[status(thm)],[f426,f2367,f2451]) ).
fof(f2459,definition,
( sQ231_spl
<=> sP27_prd ),
introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition]) ).
fof(f2464,plain,
( ~ sQ61_spl
| sQ231_spl
| ~ sQ218_spl ),
inference(split_clause,[status(thm)],[f434,f2375,f2459,f1727]) ).
fof(f2465,plain,
( ~ sQ91_spl
| sQ231_spl
| ~ sQ218_spl ),
inference(split_clause,[status(thm)],[f435,f2375,f2459,f1823]) ).
fof(f2466,plain,
( ~ sQ121_spl
| sQ231_spl
| ~ sQ218_spl ),
inference(split_clause,[status(thm)],[f436,f2375,f2459,f1919]) ).
fof(f2468,plain,
( sQ121_spl
| sQ91_spl
| sQ61_spl
| sQ31_spl
| sQ1_spl
| sQ218_spl ),
inference(split_clause,[status(thm)],[f438,f2375,f1535,f1631,f1727,f1823,f1919]) ).
fof(f2469,definition,
( sQ232_spl
<=> sP28_prd ),
introduced(definition,[new_symbols(definition,[sQ232_spl])],[split_symbol_definition]) ).
fof(f2472,plain,
( sQ121_spl
| sQ232_spl
| ~ sQ219_spl ),
inference(split_clause,[status(thm)],[f442,f2385,f2469,f1919]) ).
fof(f2474,plain,
( ~ sQ232_spl
| sQ219_spl ),
inference(split_clause,[status(thm)],[f444,f2385,f2469]) ).
fof(f2476,definition,
( sQ233_spl
<=> sP29_prd ),
introduced(definition,[new_symbols(definition,[sQ233_spl])],[split_symbol_definition]) ).
fof(f2479,definition,
( sQ234_spl
<=> sP30_prd ),
introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition]) ).
fof(f2482,plain,
( sQ234_spl
| sQ233_spl
| ~ sQ220_spl ),
inference(split_clause,[status(thm)],[f451,f2392,f2476,f2479]) ).
fof(f2483,definition,
( sQ235_spl
<=> op(e4,op(e4,e1)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition]) ).
fof(f2484,plain,
( ~ sQ235_spl
| op(e4,op(e4,e1)) = e1 ),
inference(component_clause,[status(thm)],[f2483]) ).
fof(f2486,definition,
( sQ236_spl
<=> op(e1,op(e4,e1)) = e4 ),
introduced(definition,[new_symbols(definition,[sQ236_spl])],[split_symbol_definition]) ).
fof(f2487,plain,
( ~ sQ236_spl
| op(e1,op(e4,e1)) = e4 ),
inference(component_clause,[status(thm)],[f2486]) ).
fof(f2488,plain,
( sQ236_spl
| op(e1,op(e4,e1)) != e4 ),
inference(component_clause,[status(thm)],[f2486]) ).
fof(f2489,plain,
( ~ sQ236_spl
| sQ235_spl
| sQ233_spl
| ~ sQ220_spl ),
inference(split_clause,[status(thm)],[f452,f2392,f2476,f2483,f2486]) ).
fof(f2490,plain,
( ~ sQ233_spl
| sQ220_spl ),
inference(split_clause,[status(thm)],[f453,f2392,f2476]) ).
fof(f2491,plain,
( ~ sQ235_spl
| ~ sQ234_spl
| sQ220_spl ),
inference(split_clause,[status(thm)],[f454,f2392,f2479,f2483]) ).
fof(f2492,plain,
( sQ236_spl
| ~ sQ234_spl
| sQ220_spl ),
inference(split_clause,[status(thm)],[f455,f2392,f2479,f2486]) ).
fof(f2493,definition,
( sQ237_spl
<=> sP31_prd ),
introduced(definition,[new_symbols(definition,[sQ237_spl])],[split_symbol_definition]) ).
fof(f2496,plain,
( sQ237_spl
| ~ sQ221_spl ),
inference(split_clause,[status(thm)],[f459,f2395,f2493]) ).
fof(f2497,definition,
( sQ238_spl
<=> op(e3,op(e3,e2)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ238_spl])],[split_symbol_definition]) ).
fof(f2498,plain,
( ~ sQ238_spl
| op(e3,op(e3,e2)) = e2 ),
inference(component_clause,[status(thm)],[f2497]) ).
fof(f2499,plain,
( sQ238_spl
| op(e3,op(e3,e2)) != e2 ),
inference(component_clause,[status(thm)],[f2497]) ).
fof(f2500,definition,
( sQ239_spl
<=> op(e2,op(e3,e2)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ239_spl])],[split_symbol_definition]) ).
fof(f2501,plain,
( ~ sQ239_spl
| op(e2,op(e3,e2)) = e3 ),
inference(component_clause,[status(thm)],[f2500]) ).
fof(f2502,plain,
( sQ239_spl
| op(e2,op(e3,e2)) != e3 ),
inference(component_clause,[status(thm)],[f2500]) ).
fof(f2503,plain,
( ~ sQ239_spl
| sQ238_spl
| ~ sQ221_spl ),
inference(split_clause,[status(thm)],[f460,f2395,f2497,f2500]) ).
fof(f2504,plain,
( ~ sQ238_spl
| ~ sQ237_spl
| sQ221_spl ),
inference(split_clause,[status(thm)],[f461,f2395,f2493,f2497]) ).
fof(f2505,plain,
( sQ239_spl
| ~ sQ237_spl
| sQ221_spl ),
inference(split_clause,[status(thm)],[f462,f2395,f2493,f2500]) ).
fof(f2506,definition,
( sQ240_spl
<=> sP32_prd ),
introduced(definition,[new_symbols(definition,[sQ240_spl])],[split_symbol_definition]) ).
fof(f2509,plain,
( sQ240_spl
| ~ sQ224_spl ),
inference(split_clause,[status(thm)],[f466,f2409,f2506]) ).
fof(f2510,definition,
( sQ241_spl
<=> op(e2,op(e2,e3)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ241_spl])],[split_symbol_definition]) ).
fof(f2511,plain,
( ~ sQ241_spl
| op(e2,op(e2,e3)) = e3 ),
inference(component_clause,[status(thm)],[f2510]) ).
fof(f2512,plain,
( sQ241_spl
| op(e2,op(e2,e3)) != e3 ),
inference(component_clause,[status(thm)],[f2510]) ).
fof(f2513,definition,
( sQ242_spl
<=> op(e3,op(e2,e3)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ242_spl])],[split_symbol_definition]) ).
fof(f2514,plain,
( ~ sQ242_spl
| op(e3,op(e2,e3)) = e2 ),
inference(component_clause,[status(thm)],[f2513]) ).
fof(f2515,plain,
( sQ242_spl
| op(e3,op(e2,e3)) != e2 ),
inference(component_clause,[status(thm)],[f2513]) ).
fof(f2516,plain,
( ~ sQ242_spl
| sQ241_spl
| ~ sQ224_spl ),
inference(split_clause,[status(thm)],[f467,f2409,f2510,f2513]) ).
fof(f2518,plain,
( sQ242_spl
| ~ sQ240_spl
| sQ224_spl ),
inference(split_clause,[status(thm)],[f469,f2409,f2506,f2513]) ).
fof(f2519,definition,
( sQ243_spl
<=> sP33_prd ),
introduced(definition,[new_symbols(definition,[sQ243_spl])],[split_symbol_definition]) ).
fof(f2524,plain,
( ~ sQ243_spl
| sQ226_spl ),
inference(split_clause,[status(thm)],[f475,f2419,f2519]) ).
fof(f2527,definition,
( sQ244_spl
<=> sP34_prd ),
introduced(definition,[new_symbols(definition,[sQ244_spl])],[split_symbol_definition]) ).
fof(f2530,plain,
( sQ106_spl
| sQ244_spl
| ~ sQ227_spl ),
inference(split_clause,[status(thm)],[f481,f2427,f2527,f1871]) ).
fof(f2532,plain,
( ~ sQ244_spl
| sQ227_spl ),
inference(split_clause,[status(thm)],[f483,f2427,f2527]) ).
fof(f2535,definition,
( sQ245_spl
<=> sP35_prd ),
introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition]) ).
fof(f2538,plain,
( sQ107_spl
| sQ245_spl
| ~ sQ228_spl ),
inference(split_clause,[status(thm)],[f489,f2435,f2535,f1874]) ).
fof(f2539,plain,
( sQ127_spl
| ~ sQ111_spl
| sQ245_spl
| ~ sQ228_spl ),
inference(split_clause,[status(thm)],[f490,f2435,f2535,f1887,f1938]) ).
fof(f2540,plain,
( ~ sQ245_spl
| sQ228_spl ),
inference(split_clause,[status(thm)],[f491,f2435,f2535]) ).
fof(f2543,definition,
( sQ246_spl
<=> sP36_prd ),
introduced(definition,[new_symbols(definition,[sQ246_spl])],[split_symbol_definition]) ).
fof(f2546,plain,
( sQ108_spl
| sQ246_spl
| ~ sQ229_spl ),
inference(split_clause,[status(thm)],[f497,f2443,f2543,f1877]) ).
fof(f2547,plain,
( sQ128_spl
| ~ sQ116_spl
| sQ246_spl
| ~ sQ229_spl ),
inference(split_clause,[status(thm)],[f498,f2443,f2543,f1903,f1941]) ).
fof(f2548,plain,
( ~ sQ246_spl
| sQ229_spl ),
inference(split_clause,[status(thm)],[f499,f2443,f2543]) ).
fof(f2551,definition,
( sQ247_spl
<=> sP37_prd ),
introduced(definition,[new_symbols(definition,[sQ247_spl])],[split_symbol_definition]) ).
fof(f2554,plain,
( sQ109_spl
| sQ247_spl
| ~ sQ230_spl ),
inference(split_clause,[status(thm)],[f505,f2451,f2551,f1880]) ).
fof(f2556,plain,
( ~ sQ247_spl
| sQ230_spl ),
inference(split_clause,[status(thm)],[f507,f2451,f2551]) ).
fof(f2559,plain,
( ~ sQ0_spl
| ~ sQ231_spl ),
inference(split_clause,[status(thm)],[f511,f2459,f1532]) ).
fof(f2565,definition,
( sQ248_spl
<=> sP38_prd ),
introduced(definition,[new_symbols(definition,[sQ248_spl])],[split_symbol_definition]) ).
fof(f2568,plain,
( sQ120_spl
| sQ248_spl
| ~ sQ232_spl ),
inference(split_clause,[status(thm)],[f520,f2469,f2565,f1916]) ).
fof(f2569,plain,
( ~ sQ104_spl
| sQ248_spl
| ~ sQ232_spl ),
inference(split_clause,[status(thm)],[f521,f2469,f2565,f1864]) ).
fof(f2570,plain,
( ~ sQ248_spl
| sQ232_spl ),
inference(split_clause,[status(thm)],[f522,f2469,f2565]) ).
fof(f2572,definition,
( sQ249_spl
<=> sP39_prd ),
introduced(definition,[new_symbols(definition,[sQ249_spl])],[split_symbol_definition]) ).
fof(f2575,plain,
( sQ249_spl
| ~ sQ233_spl ),
inference(split_clause,[status(thm)],[f527,f2476,f2572]) ).
fof(f2576,definition,
( sQ250_spl
<=> op(e4,op(e4,e0)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ250_spl])],[split_symbol_definition]) ).
fof(f2577,plain,
( ~ sQ250_spl
| op(e4,op(e4,e0)) = e0 ),
inference(component_clause,[status(thm)],[f2576]) ).
fof(f2585,definition,
( sQ252_spl
<=> sP40_prd ),
introduced(definition,[new_symbols(definition,[sQ252_spl])],[split_symbol_definition]) ).
fof(f2588,plain,
( sQ252_spl
| ~ sQ234_spl ),
inference(split_clause,[status(thm)],[f534,f2479,f2585]) ).
fof(f2589,definition,
( sQ253_spl
<=> op(e3,op(e3,e1)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ253_spl])],[split_symbol_definition]) ).
fof(f2590,plain,
( ~ sQ253_spl
| op(e3,op(e3,e1)) = e1 ),
inference(component_clause,[status(thm)],[f2589]) ).
fof(f2591,plain,
( sQ253_spl
| op(e3,op(e3,e1)) != e1 ),
inference(component_clause,[status(thm)],[f2589]) ).
fof(f2592,definition,
( sQ254_spl
<=> op(e1,op(e3,e1)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ254_spl])],[split_symbol_definition]) ).
fof(f2593,plain,
( ~ sQ254_spl
| op(e1,op(e3,e1)) = e3 ),
inference(component_clause,[status(thm)],[f2592]) ).
fof(f2594,plain,
( sQ254_spl
| op(e1,op(e3,e1)) != e3 ),
inference(component_clause,[status(thm)],[f2592]) ).
fof(f2595,plain,
( ~ sQ254_spl
| sQ253_spl
| ~ sQ234_spl ),
inference(split_clause,[status(thm)],[f535,f2479,f2589,f2592]) ).
fof(f2596,plain,
( ~ sQ253_spl
| ~ sQ252_spl
| sQ234_spl ),
inference(split_clause,[status(thm)],[f536,f2479,f2585,f2589]) ).
fof(f2597,plain,
( sQ254_spl
| ~ sQ252_spl
| sQ234_spl ),
inference(split_clause,[status(thm)],[f537,f2479,f2585,f2592]) ).
fof(f2598,definition,
( sQ255_spl
<=> sP41_prd ),
introduced(definition,[new_symbols(definition,[sQ255_spl])],[split_symbol_definition]) ).
fof(f2601,plain,
( sQ255_spl
| ~ sQ237_spl ),
inference(split_clause,[status(thm)],[f541,f2493,f2598]) ).
fof(f2602,definition,
( sQ256_spl
<=> op(e2,op(e2,e2)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ256_spl])],[split_symbol_definition]) ).
fof(f2606,plain,
( ~ sQ256_spl
| ~ sQ255_spl
| sQ237_spl ),
inference(split_clause,[status(thm)],[f543,f2493,f2598,f2602]) ).
fof(f2607,plain,
( sQ256_spl
| ~ sQ255_spl
| sQ237_spl ),
inference(split_clause,[status(thm)],[f544,f2493,f2598,f2602]) ).
fof(f2608,definition,
( sQ257_spl
<=> op(e0,op(e0,e3)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ257_spl])],[split_symbol_definition]) ).
fof(f2610,plain,
( sQ257_spl
| op(e0,op(e0,e3)) != e3 ),
inference(component_clause,[status(thm)],[f2608]) ).
fof(f2611,definition,
( sQ258_spl
<=> op(e3,op(e0,e3)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ258_spl])],[split_symbol_definition]) ).
fof(f2612,plain,
( ~ sQ258_spl
| op(e3,op(e0,e3)) = e0 ),
inference(component_clause,[status(thm)],[f2611]) ).
fof(f2615,definition,
( sQ259_spl
<=> op(e1,op(e1,e3)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ259_spl])],[split_symbol_definition]) ).
fof(f2616,plain,
( ~ sQ259_spl
| op(e1,op(e1,e3)) = e3 ),
inference(component_clause,[status(thm)],[f2615]) ).
fof(f2617,plain,
( sQ259_spl
| op(e1,op(e1,e3)) != e3 ),
inference(component_clause,[status(thm)],[f2615]) ).
fof(f2618,definition,
( sQ260_spl
<=> op(e3,op(e1,e3)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ260_spl])],[split_symbol_definition]) ).
fof(f2619,plain,
( ~ sQ260_spl
| op(e3,op(e1,e3)) = e1 ),
inference(component_clause,[status(thm)],[f2618]) ).
fof(f2620,plain,
( sQ260_spl
| op(e3,op(e1,e3)) != e1 ),
inference(component_clause,[status(thm)],[f2618]) ).
fof(f2621,plain,
( ~ sQ260_spl
| sQ259_spl
| ~ sQ240_spl ),
inference(split_clause,[status(thm)],[f547,f2506,f2615,f2618]) ).
fof(f2622,plain,
( ~ sQ259_spl
| ~ sQ257_spl
| sQ240_spl ),
inference(split_clause,[status(thm)],[f548,f2506,f2608,f2615]) ).
fof(f2623,plain,
( sQ260_spl
| ~ sQ257_spl
| sQ240_spl ),
inference(split_clause,[status(thm)],[f549,f2506,f2608,f2618]) ).
fof(f2626,definition,
( sQ261_spl
<=> sP42_prd ),
introduced(definition,[new_symbols(definition,[sQ261_spl])],[split_symbol_definition]) ).
fof(f2631,plain,
( ~ sQ261_spl
| sQ243_spl ),
inference(split_clause,[status(thm)],[f557,f2519,f2626]) ).
fof(f2634,definition,
( sQ262_spl
<=> sP43_prd ),
introduced(definition,[new_symbols(definition,[sQ262_spl])],[split_symbol_definition]) ).
fof(f2637,plain,
( sQ101_spl
| sQ262_spl
| ~ sQ244_spl ),
inference(split_clause,[status(thm)],[f563,f2527,f2634,f1855]) ).
fof(f2639,plain,
( ~ sQ262_spl
| sQ244_spl ),
inference(split_clause,[status(thm)],[f565,f2527,f2634]) ).
fof(f2642,definition,
( sQ263_spl
<=> sP44_prd ),
introduced(definition,[new_symbols(definition,[sQ263_spl])],[split_symbol_definition]) ).
fof(f2645,plain,
( sQ102_spl
| sQ263_spl
| ~ sQ245_spl ),
inference(split_clause,[status(thm)],[f571,f2535,f2642,f1858]) ).
fof(f2647,plain,
( ~ sQ263_spl
| sQ245_spl ),
inference(split_clause,[status(thm)],[f573,f2535,f2642]) ).
fof(f2650,definition,
( sQ264_spl
<=> sP45_prd ),
introduced(definition,[new_symbols(definition,[sQ264_spl])],[split_symbol_definition]) ).
fof(f2653,plain,
( sQ103_spl
| sQ264_spl
| ~ sQ246_spl ),
inference(split_clause,[status(thm)],[f579,f2543,f2650,f1861]) ).
fof(f2655,plain,
( ~ sQ264_spl
| sQ246_spl ),
inference(split_clause,[status(thm)],[f581,f2543,f2650]) ).
fof(f2658,definition,
( sQ265_spl
<=> sP46_prd ),
introduced(definition,[new_symbols(definition,[sQ265_spl])],[split_symbol_definition]) ).
fof(f2662,plain,
( sQ129_spl
| ~ sQ120_spl
| sQ265_spl
| ~ sQ247_spl ),
inference(split_clause,[status(thm)],[f588,f2551,f2658,f1916,f1944]) ).
fof(f2663,plain,
( ~ sQ265_spl
| sQ247_spl ),
inference(split_clause,[status(thm)],[f589,f2551,f2658]) ).
fof(f2664,plain,
( sQ120_spl
| ~ sQ104_spl
| sQ247_spl ),
inference(split_clause,[status(thm)],[f590,f2551,f1864,f1916]) ).
fof(f2666,definition,
( sQ266_spl
<=> sP47_prd ),
introduced(definition,[new_symbols(definition,[sQ266_spl])],[split_symbol_definition]) ).
fof(f2669,plain,
( sQ94_spl
| sQ266_spl
| ~ sQ248_spl ),
inference(split_clause,[status(thm)],[f595,f2565,f2666,f1832]) ).
fof(f2671,plain,
( ~ sQ266_spl
| sQ248_spl ),
inference(split_clause,[status(thm)],[f597,f2565,f2666]) ).
fof(f2673,definition,
( sQ267_spl
<=> sP48_prd ),
introduced(definition,[new_symbols(definition,[sQ267_spl])],[split_symbol_definition]) ).
fof(f2676,plain,
( sQ267_spl
| ~ sQ249_spl ),
inference(split_clause,[status(thm)],[f602,f2572,f2673]) ).
fof(f2677,definition,
( sQ268_spl
<=> op(e3,op(e3,e0)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ268_spl])],[split_symbol_definition]) ).
fof(f2678,plain,
( ~ sQ268_spl
| op(e3,op(e3,e0)) = e0 ),
inference(component_clause,[status(thm)],[f2677]) ).
fof(f2680,definition,
( sQ269_spl
<=> op(e0,op(e3,e0)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ269_spl])],[split_symbol_definition]) ).
fof(f2683,plain,
( ~ sQ269_spl
| sQ268_spl
| ~ sQ249_spl ),
inference(split_clause,[status(thm)],[f603,f2572,f2677,f2680]) ).
fof(f2686,definition,
( sQ270_spl
<=> sP49_prd ),
introduced(definition,[new_symbols(definition,[sQ270_spl])],[split_symbol_definition]) ).
fof(f2689,plain,
( sQ270_spl
| ~ sQ252_spl ),
inference(split_clause,[status(thm)],[f609,f2585,f2686]) ).
fof(f2690,definition,
( sQ271_spl
<=> op(e2,op(e2,e1)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ271_spl])],[split_symbol_definition]) ).
fof(f2691,plain,
( ~ sQ271_spl
| op(e2,op(e2,e1)) = e1 ),
inference(component_clause,[status(thm)],[f2690]) ).
fof(f2692,plain,
( sQ271_spl
| op(e2,op(e2,e1)) != e1 ),
inference(component_clause,[status(thm)],[f2690]) ).
fof(f2693,definition,
( sQ272_spl
<=> op(e1,op(e2,e1)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ272_spl])],[split_symbol_definition]) ).
fof(f2694,plain,
( ~ sQ272_spl
| op(e1,op(e2,e1)) = e2 ),
inference(component_clause,[status(thm)],[f2693]) ).
fof(f2695,plain,
( sQ272_spl
| op(e1,op(e2,e1)) != e2 ),
inference(component_clause,[status(thm)],[f2693]) ).
fof(f2696,plain,
( ~ sQ272_spl
| sQ271_spl
| ~ sQ252_spl ),
inference(split_clause,[status(thm)],[f610,f2585,f2690,f2693]) ).
fof(f2698,plain,
( sQ272_spl
| ~ sQ270_spl
| sQ252_spl ),
inference(split_clause,[status(thm)],[f612,f2585,f2686,f2693]) ).
fof(f2699,definition,
( sQ273_spl
<=> op(e0,op(e0,e2)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ273_spl])],[split_symbol_definition]) ).
fof(f2701,plain,
( sQ273_spl
| op(e0,op(e0,e2)) != e2 ),
inference(component_clause,[status(thm)],[f2699]) ).
fof(f2706,definition,
( sQ275_spl
<=> op(e1,op(e1,e2)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ275_spl])],[split_symbol_definition]) ).
fof(f2707,plain,
( ~ sQ275_spl
| op(e1,op(e1,e2)) = e2 ),
inference(component_clause,[status(thm)],[f2706]) ).
fof(f2709,definition,
( sQ276_spl
<=> op(e2,op(e1,e2)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ276_spl])],[split_symbol_definition]) ).
fof(f2710,plain,
( ~ sQ276_spl
| op(e2,op(e1,e2)) = e1 ),
inference(component_clause,[status(thm)],[f2709]) ).
fof(f2711,plain,
( sQ276_spl
| op(e2,op(e1,e2)) != e1 ),
inference(component_clause,[status(thm)],[f2709]) ).
fof(f2712,plain,
( ~ sQ276_spl
| sQ275_spl
| ~ sQ255_spl ),
inference(split_clause,[status(thm)],[f615,f2598,f2706,f2709]) ).
fof(f2714,plain,
( sQ276_spl
| ~ sQ273_spl
| sQ255_spl ),
inference(split_clause,[status(thm)],[f617,f2598,f2699,f2709]) ).
fof(f2717,definition,
( sQ277_spl
<=> sP50_prd ),
introduced(definition,[new_symbols(definition,[sQ277_spl])],[split_symbol_definition]) ).
fof(f2722,plain,
( ~ sQ277_spl
| sQ261_spl ),
inference(split_clause,[status(thm)],[f625,f2626,f2717]) ).
fof(f2725,definition,
( sQ278_spl
<=> sP51_prd ),
introduced(definition,[new_symbols(definition,[sQ278_spl])],[split_symbol_definition]) ).
fof(f2728,plain,
( sQ96_spl
| sQ278_spl
| ~ sQ262_spl ),
inference(split_clause,[status(thm)],[f631,f2634,f2725,f1839]) ).
fof(f2729,plain,
( sQ126_spl
| ~ sQ84_spl
| sQ278_spl
| ~ sQ262_spl ),
inference(split_clause,[status(thm)],[f632,f2634,f2725,f1800,f1935]) ).
fof(f2730,plain,
( ~ sQ278_spl
| sQ262_spl ),
inference(split_clause,[status(thm)],[f633,f2634,f2725]) ).
fof(f2731,plain,
( sQ84_spl
| ~ sQ96_spl
| sQ262_spl ),
inference(split_clause,[status(thm)],[f634,f2634,f1839,f1800]) ).
fof(f2733,definition,
( sQ279_spl
<=> sP52_prd ),
introduced(definition,[new_symbols(definition,[sQ279_spl])],[split_symbol_definition]) ).
fof(f2736,plain,
( sQ97_spl
| sQ279_spl
| ~ sQ263_spl ),
inference(split_clause,[status(thm)],[f639,f2642,f2733,f1842]) ).
fof(f2737,plain,
( sQ127_spl
| ~ sQ89_spl
| sQ279_spl
| ~ sQ263_spl ),
inference(split_clause,[status(thm)],[f640,f2642,f2733,f1816,f1938]) ).
fof(f2738,plain,
( ~ sQ279_spl
| sQ263_spl ),
inference(split_clause,[status(thm)],[f641,f2642,f2733]) ).
fof(f2741,definition,
( sQ280_spl
<=> sP53_prd ),
introduced(definition,[new_symbols(definition,[sQ280_spl])],[split_symbol_definition]) ).
fof(f2744,plain,
( sQ98_spl
| sQ280_spl
| ~ sQ264_spl ),
inference(split_clause,[status(thm)],[f647,f2650,f2741,f1845]) ).
fof(f2746,plain,
( ~ sQ280_spl
| sQ264_spl ),
inference(split_clause,[status(thm)],[f649,f2650,f2741]) ).
fof(f2749,definition,
( sQ281_spl
<=> sP54_prd ),
introduced(definition,[new_symbols(definition,[sQ281_spl])],[split_symbol_definition]) ).
fof(f2752,plain,
( sQ99_spl
| sQ281_spl
| ~ sQ265_spl ),
inference(split_clause,[status(thm)],[f655,f2658,f2749,f1848]) ).
fof(f2754,plain,
( ~ sQ281_spl
| sQ265_spl ),
inference(split_clause,[status(thm)],[f657,f2658,f2749]) ).
fof(f2757,definition,
( sQ282_spl
<=> sP55_prd ),
introduced(definition,[new_symbols(definition,[sQ282_spl])],[split_symbol_definition]) ).
fof(f2760,plain,
( sQ93_spl
| sQ282_spl
| ~ sQ266_spl ),
inference(split_clause,[status(thm)],[f663,f2666,f2757,f1829]) ).
fof(f2762,plain,
( ~ sQ282_spl
| sQ266_spl ),
inference(split_clause,[status(thm)],[f665,f2666,f2757]) ).
fof(f2764,definition,
( sQ283_spl
<=> sP56_prd ),
introduced(definition,[new_symbols(definition,[sQ283_spl])],[split_symbol_definition]) ).
fof(f2767,plain,
( sQ283_spl
| ~ sQ267_spl ),
inference(split_clause,[status(thm)],[f670,f2673,f2764]) ).
fof(f2768,definition,
( sQ284_spl
<=> op(e2,op(e2,e0)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ284_spl])],[split_symbol_definition]) ).
fof(f2769,plain,
( ~ sQ284_spl
| op(e2,op(e2,e0)) = e0 ),
inference(component_clause,[status(thm)],[f2768]) ).
fof(f2770,plain,
( sQ284_spl
| op(e2,op(e2,e0)) != e0 ),
inference(component_clause,[status(thm)],[f2768]) ).
fof(f2771,definition,
( sQ285_spl
<=> op(e0,op(e2,e0)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ285_spl])],[split_symbol_definition]) ).
fof(f2773,plain,
( sQ285_spl
| op(e0,op(e2,e0)) != e2 ),
inference(component_clause,[status(thm)],[f2771]) ).
fof(f2774,plain,
( ~ sQ285_spl
| sQ284_spl
| ~ sQ267_spl ),
inference(split_clause,[status(thm)],[f671,f2673,f2768,f2771]) ).
fof(f2775,plain,
( ~ sQ284_spl
| ~ sQ283_spl
| sQ267_spl ),
inference(split_clause,[status(thm)],[f672,f2673,f2764,f2768]) ).
fof(f2777,definition,
( sQ286_spl
<=> op(e0,op(e0,e1)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ286_spl])],[split_symbol_definition]) ).
fof(f2779,plain,
( sQ286_spl
| op(e0,op(e0,e1)) != e1 ),
inference(component_clause,[status(thm)],[f2777]) ).
fof(f2784,definition,
( sQ288_spl
<=> op(e1,op(e1,e1)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ288_spl])],[split_symbol_definition]) ).
fof(f2788,plain,
( ~ sQ288_spl
| ~ sQ286_spl
| sQ270_spl ),
inference(split_clause,[status(thm)],[f677,f2686,f2777,f2784]) ).
fof(f2789,plain,
( sQ288_spl
| ~ sQ286_spl
| sQ270_spl ),
inference(split_clause,[status(thm)],[f678,f2686,f2777,f2784]) ).
fof(f2792,definition,
( sQ289_spl
<=> sP57_prd ),
introduced(definition,[new_symbols(definition,[sQ289_spl])],[split_symbol_definition]) ).
fof(f2797,plain,
( ~ sQ289_spl
| sQ277_spl ),
inference(split_clause,[status(thm)],[f686,f2717,f2792]) ).
fof(f2800,definition,
( sQ290_spl
<=> sP58_prd ),
introduced(definition,[new_symbols(definition,[sQ290_spl])],[split_symbol_definition]) ).
fof(f2803,plain,
( sQ91_spl
| sQ290_spl
| ~ sQ278_spl ),
inference(split_clause,[status(thm)],[f692,f2725,f2800,f1823]) ).
fof(f2805,plain,
( ~ sQ290_spl
| sQ278_spl ),
inference(split_clause,[status(thm)],[f694,f2725,f2800]) ).
fof(f2806,plain,
( sQ83_spl
| ~ sQ91_spl
| sQ278_spl ),
inference(split_clause,[status(thm)],[f695,f2725,f1823,f1797]) ).
fof(f2808,definition,
( sQ291_spl
<=> sP59_prd ),
introduced(definition,[new_symbols(definition,[sQ291_spl])],[split_symbol_definition]) ).
fof(f2811,plain,
( sQ92_spl
| sQ291_spl
| ~ sQ279_spl ),
inference(split_clause,[status(thm)],[f700,f2733,f2808,f1826]) ).
fof(f2813,plain,
( ~ sQ291_spl
| sQ279_spl ),
inference(split_clause,[status(thm)],[f702,f2733,f2808]) ).
fof(f2814,plain,
( sQ88_spl
| ~ sQ92_spl
| sQ279_spl ),
inference(split_clause,[status(thm)],[f703,f2733,f1826,f1813]) ).
fof(f2816,definition,
( sQ292_spl
<=> sP60_prd ),
introduced(definition,[new_symbols(definition,[sQ292_spl])],[split_symbol_definition]) ).
fof(f2819,plain,
( sQ93_spl
| sQ292_spl
| ~ sQ280_spl ),
inference(split_clause,[status(thm)],[f708,f2741,f2816,f1829]) ).
fof(f2821,plain,
( ~ sQ292_spl
| sQ280_spl ),
inference(split_clause,[status(thm)],[f710,f2741,f2816]) ).
fof(f2824,definition,
( sQ293_spl
<=> sP61_prd ),
introduced(definition,[new_symbols(definition,[sQ293_spl])],[split_symbol_definition]) ).
fof(f2827,plain,
( sQ94_spl
| sQ293_spl
| ~ sQ281_spl ),
inference(split_clause,[status(thm)],[f716,f2749,f2824,f1832]) ).
fof(f2829,plain,
( ~ sQ293_spl
| sQ281_spl ),
inference(split_clause,[status(thm)],[f718,f2749,f2824]) ).
fof(f2830,plain,
( sQ98_spl
| ~ sQ94_spl
| sQ281_spl ),
inference(split_clause,[status(thm)],[f719,f2749,f1832,f1845]) ).
fof(f2832,definition,
( sQ294_spl
<=> sP62_prd ),
introduced(definition,[new_symbols(definition,[sQ294_spl])],[split_symbol_definition]) ).
fof(f2835,plain,
( sQ92_spl
| sQ294_spl
| ~ sQ282_spl ),
inference(split_clause,[status(thm)],[f724,f2757,f2832,f1826]) ).
fof(f2837,plain,
( ~ sQ294_spl
| sQ282_spl ),
inference(split_clause,[status(thm)],[f726,f2757,f2832]) ).
fof(f2838,plain,
( sQ88_spl
| ~ sQ92_spl
| sQ282_spl ),
inference(split_clause,[status(thm)],[f727,f2757,f1826,f1813]) ).
fof(f2839,definition,
( sQ295_spl
<=> op(e0,op(e0,e0)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ295_spl])],[split_symbol_definition]) ).
fof(f2843,definition,
( sQ296_spl
<=> op(e1,op(e1,e0)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ296_spl])],[split_symbol_definition]) ).
fof(f2844,plain,
( ~ sQ296_spl
| op(e1,op(e1,e0)) = e0 ),
inference(component_clause,[status(thm)],[f2843]) ).
fof(f2845,plain,
( sQ296_spl
| op(e1,op(e1,e0)) != e0 ),
inference(component_clause,[status(thm)],[f2843]) ).
fof(f2846,definition,
( sQ297_spl
<=> op(e0,op(e1,e0)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ297_spl])],[split_symbol_definition]) ).
fof(f2847,plain,
( ~ sQ297_spl
| op(e0,op(e1,e0)) = e1 ),
inference(component_clause,[status(thm)],[f2846]) ).
fof(f2848,plain,
( sQ297_spl
| op(e0,op(e1,e0)) != e1 ),
inference(component_clause,[status(thm)],[f2846]) ).
fof(f2849,plain,
( ~ sQ297_spl
| sQ296_spl
| ~ sQ283_spl ),
inference(split_clause,[status(thm)],[f730,f2764,f2843,f2846]) ).
fof(f2850,plain,
( ~ sQ296_spl
| ~ sQ295_spl
| sQ283_spl ),
inference(split_clause,[status(thm)],[f731,f2764,f2839,f2843]) ).
fof(f2852,plain,
( ~ sQ296_spl
| sQ295_spl
| sQ283_spl ),
inference(split_clause,[status(thm)],[f733,f2764,f2839,f2843]) ).
fof(f2854,definition,
( sQ298_spl
<=> sP63_prd ),
introduced(definition,[new_symbols(definition,[sQ298_spl])],[split_symbol_definition]) ).
fof(f2859,plain,
( ~ sQ298_spl
| sQ289_spl ),
inference(split_clause,[status(thm)],[f740,f2792,f2854]) ).
fof(f2862,definition,
( sQ299_spl
<=> sP64_prd ),
introduced(definition,[new_symbols(definition,[sQ299_spl])],[split_symbol_definition]) ).
fof(f2865,plain,
( sQ86_spl
| sQ299_spl
| ~ sQ290_spl ),
inference(split_clause,[status(thm)],[f746,f2800,f2862,f1807]) ).
fof(f2866,plain,
( sQ126_spl
| ~ sQ82_spl
| sQ299_spl
| ~ sQ290_spl ),
inference(split_clause,[status(thm)],[f747,f2800,f2862,f1794,f1935]) ).
fof(f2867,plain,
( ~ sQ299_spl
| sQ290_spl ),
inference(split_clause,[status(thm)],[f748,f2800,f2862]) ).
fof(f2868,plain,
( sQ82_spl
| ~ sQ86_spl
| sQ290_spl ),
inference(split_clause,[status(thm)],[f749,f2800,f1807,f1794]) ).
fof(f2870,definition,
( sQ300_spl
<=> sP65_prd ),
introduced(definition,[new_symbols(definition,[sQ300_spl])],[split_symbol_definition]) ).
fof(f2873,plain,
( sQ87_spl
| sQ300_spl
| ~ sQ291_spl ),
inference(split_clause,[status(thm)],[f754,f2808,f2870,f1810]) ).
fof(f2875,plain,
( ~ sQ300_spl
| sQ291_spl ),
inference(split_clause,[status(thm)],[f756,f2808,f2870]) ).
fof(f2878,definition,
( sQ301_spl
<=> sP66_prd ),
introduced(definition,[new_symbols(definition,[sQ301_spl])],[split_symbol_definition]) ).
fof(f2881,plain,
( sQ88_spl
| sQ301_spl
| ~ sQ292_spl ),
inference(split_clause,[status(thm)],[f762,f2816,f2878,f1813]) ).
fof(f2883,plain,
( ~ sQ301_spl
| sQ292_spl ),
inference(split_clause,[status(thm)],[f764,f2816,f2878]) ).
fof(f2886,definition,
( sQ302_spl
<=> sP67_prd ),
introduced(definition,[new_symbols(definition,[sQ302_spl])],[split_symbol_definition]) ).
fof(f2889,plain,
( sQ89_spl
| sQ302_spl
| ~ sQ293_spl ),
inference(split_clause,[status(thm)],[f770,f2824,f2886,f1816]) ).
fof(f2890,plain,
( sQ129_spl
| ~ sQ97_spl
| sQ302_spl
| ~ sQ293_spl ),
inference(split_clause,[status(thm)],[f771,f2824,f2886,f1842,f1944]) ).
fof(f2891,plain,
( ~ sQ302_spl
| sQ293_spl ),
inference(split_clause,[status(thm)],[f772,f2824,f2886]) ).
fof(f2892,plain,
( sQ97_spl
| ~ sQ89_spl
| sQ293_spl ),
inference(split_clause,[status(thm)],[f773,f2824,f1816,f1842]) ).
fof(f2894,definition,
( sQ303_spl
<=> sP68_prd ),
introduced(definition,[new_symbols(definition,[sQ303_spl])],[split_symbol_definition]) ).
fof(f2897,plain,
( sQ91_spl
| sQ303_spl
| ~ sQ294_spl ),
inference(split_clause,[status(thm)],[f778,f2832,f2894,f1823]) ).
fof(f2899,plain,
( ~ sQ303_spl
| sQ294_spl ),
inference(split_clause,[status(thm)],[f780,f2832,f2894]) ).
fof(f2901,definition,
( sQ304_spl
<=> sP69_prd ),
introduced(definition,[new_symbols(definition,[sQ304_spl])],[split_symbol_definition]) ).
fof(f2906,plain,
( ~ sQ304_spl
| sQ298_spl ),
inference(split_clause,[status(thm)],[f787,f2854,f2901]) ).
fof(f2909,definition,
( sQ305_spl
<=> sP70_prd ),
introduced(definition,[new_symbols(definition,[sQ305_spl])],[split_symbol_definition]) ).
fof(f2912,plain,
( sQ81_spl
| sQ305_spl
| ~ sQ299_spl ),
inference(split_clause,[status(thm)],[f793,f2862,f2909,f1791]) ).
fof(f2914,plain,
( ~ sQ305_spl
| sQ299_spl ),
inference(split_clause,[status(thm)],[f795,f2862,f2909]) ).
fof(f2917,definition,
( sQ306_spl
<=> sP71_prd ),
introduced(definition,[new_symbols(definition,[sQ306_spl])],[split_symbol_definition]) ).
fof(f2920,plain,
( sQ82_spl
| sQ306_spl
| ~ sQ300_spl ),
inference(split_clause,[status(thm)],[f801,f2870,f2917,f1794]) ).
fof(f2921,plain,
( sQ127_spl
| ~ sQ86_spl
| sQ306_spl
| ~ sQ300_spl ),
inference(split_clause,[status(thm)],[f802,f2870,f2917,f1807,f1938]) ).
fof(f2922,plain,
( ~ sQ306_spl
| sQ300_spl ),
inference(split_clause,[status(thm)],[f803,f2870,f2917]) ).
fof(f2925,definition,
( sQ307_spl
<=> sP72_prd ),
introduced(definition,[new_symbols(definition,[sQ307_spl])],[split_symbol_definition]) ).
fof(f2928,plain,
( sQ83_spl
| sQ307_spl
| ~ sQ301_spl ),
inference(split_clause,[status(thm)],[f809,f2878,f2925,f1797]) ).
fof(f2930,plain,
( ~ sQ307_spl
| sQ301_spl ),
inference(split_clause,[status(thm)],[f811,f2878,f2925]) ).
fof(f2933,definition,
( sQ308_spl
<=> sP73_prd ),
introduced(definition,[new_symbols(definition,[sQ308_spl])],[split_symbol_definition]) ).
fof(f2936,plain,
( sQ84_spl
| sQ308_spl
| ~ sQ302_spl ),
inference(split_clause,[status(thm)],[f817,f2886,f2933,f1800]) ).
fof(f2937,plain,
( sQ129_spl
| ~ sQ96_spl
| sQ308_spl
| ~ sQ302_spl ),
inference(split_clause,[status(thm)],[f818,f2886,f2933,f1839,f1944]) ).
fof(f2938,plain,
( ~ sQ308_spl
| sQ302_spl ),
inference(split_clause,[status(thm)],[f819,f2886,f2933]) ).
fof(f2939,plain,
( sQ96_spl
| ~ sQ84_spl
| sQ302_spl ),
inference(split_clause,[status(thm)],[f820,f2886,f1800,f1839]) ).
fof(f2941,definition,
( sQ309_spl
<=> sP74_prd ),
introduced(definition,[new_symbols(definition,[sQ309_spl])],[split_symbol_definition]) ).
fof(f2945,plain,
( ~ sQ78_spl
| sQ309_spl
| ~ sQ303_spl ),
inference(split_clause,[status(thm)],[f826,f2894,f2941,f1781]) ).
fof(f2946,plain,
( ~ sQ309_spl
| sQ303_spl ),
inference(split_clause,[status(thm)],[f827,f2894,f2941]) ).
fof(f2948,definition,
( sQ310_spl
<=> sP75_prd ),
introduced(definition,[new_symbols(definition,[sQ310_spl])],[split_symbol_definition]) ).
fof(f2953,plain,
( ~ sQ310_spl
| sQ304_spl ),
inference(split_clause,[status(thm)],[f834,f2901,f2948]) ).
fof(f2956,definition,
( sQ311_spl
<=> sP76_prd ),
introduced(definition,[new_symbols(definition,[sQ311_spl])],[split_symbol_definition]) ).
fof(f2959,plain,
( sQ76_spl
| sQ311_spl
| ~ sQ305_spl ),
inference(split_clause,[status(thm)],[f840,f2909,f2956,f1775]) ).
fof(f2961,plain,
( ~ sQ311_spl
| sQ305_spl ),
inference(split_clause,[status(thm)],[f842,f2909,f2956]) ).
fof(f2964,definition,
( sQ312_spl
<=> sP77_prd ),
introduced(definition,[new_symbols(definition,[sQ312_spl])],[split_symbol_definition]) ).
fof(f2967,plain,
( sQ77_spl
| sQ312_spl
| ~ sQ306_spl ),
inference(split_clause,[status(thm)],[f848,f2917,f2964,f1778]) ).
fof(f2969,plain,
( ~ sQ312_spl
| sQ306_spl ),
inference(split_clause,[status(thm)],[f850,f2917,f2964]) ).
fof(f2972,definition,
( sQ313_spl
<=> sP78_prd ),
introduced(definition,[new_symbols(definition,[sQ313_spl])],[split_symbol_definition]) ).
fof(f2976,plain,
( sQ128_spl
| ~ sQ90_spl
| sQ313_spl
| ~ sQ307_spl ),
inference(split_clause,[status(thm)],[f857,f2925,f2972,f1820,f1941]) ).
fof(f2977,plain,
( ~ sQ313_spl
| sQ307_spl ),
inference(split_clause,[status(thm)],[f858,f2925,f2972]) ).
fof(f2978,plain,
( sQ90_spl
| ~ sQ78_spl
| sQ307_spl ),
inference(split_clause,[status(thm)],[f859,f2925,f1781,f1820]) ).
fof(f2980,definition,
( sQ314_spl
<=> sP79_prd ),
introduced(definition,[new_symbols(definition,[sQ314_spl])],[split_symbol_definition]) ).
fof(f2983,plain,
( sQ79_spl
| sQ314_spl
| ~ sQ308_spl ),
inference(split_clause,[status(thm)],[f864,f2933,f2980,f1784]) ).
fof(f2985,plain,
( ~ sQ314_spl
| sQ308_spl ),
inference(split_clause,[status(thm)],[f866,f2933,f2980]) ).
fof(f2988,definition,
( sQ315_spl
<=> sP80_prd ),
introduced(definition,[new_symbols(definition,[sQ315_spl])],[split_symbol_definition]) ).
fof(f2991,plain,
( sQ64_spl
| sQ315_spl
| ~ sQ309_spl ),
inference(split_clause,[status(thm)],[f872,f2941,f2988,f1736]) ).
fof(f2993,plain,
( ~ sQ315_spl
| sQ309_spl ),
inference(split_clause,[status(thm)],[f874,f2941,f2988]) ).
fof(f2994,plain,
( sQ72_spl
| ~ sQ64_spl
| sQ309_spl ),
inference(split_clause,[status(thm)],[f875,f2941,f1736,f1762]) ).
fof(f2995,definition,
( sQ316_spl
<=> sP81_prd ),
introduced(definition,[new_symbols(definition,[sQ316_spl])],[split_symbol_definition]) ).
fof(f3000,plain,
( ~ sQ316_spl
| sQ310_spl ),
inference(split_clause,[status(thm)],[f881,f2948,f2995]) ).
fof(f3003,definition,
( sQ317_spl
<=> sP82_prd ),
introduced(definition,[new_symbols(definition,[sQ317_spl])],[split_symbol_definition]) ).
fof(f3006,plain,
( sQ71_spl
| sQ317_spl
| ~ sQ311_spl ),
inference(split_clause,[status(thm)],[f887,f2956,f3003,f1759]) ).
fof(f3007,plain,
( sQ126_spl
| ~ sQ59_spl
| sQ317_spl
| ~ sQ311_spl ),
inference(split_clause,[status(thm)],[f888,f2956,f3003,f1720,f1935]) ).
fof(f3008,plain,
( ~ sQ317_spl
| sQ311_spl ),
inference(split_clause,[status(thm)],[f889,f2956,f3003]) ).
fof(f3011,definition,
( sQ318_spl
<=> sP83_prd ),
introduced(definition,[new_symbols(definition,[sQ318_spl])],[split_symbol_definition]) ).
fof(f3014,plain,
( sQ72_spl
| sQ318_spl
| ~ sQ312_spl ),
inference(split_clause,[status(thm)],[f895,f2964,f3011,f1762]) ).
fof(f3016,plain,
( ~ sQ318_spl
| sQ312_spl ),
inference(split_clause,[status(thm)],[f897,f2964,f3011]) ).
fof(f3019,definition,
( sQ319_spl
<=> sP84_prd ),
introduced(definition,[new_symbols(definition,[sQ319_spl])],[split_symbol_definition]) ).
fof(f3022,plain,
( sQ73_spl
| sQ319_spl
| ~ sQ313_spl ),
inference(split_clause,[status(thm)],[f903,f2972,f3019,f1765]) ).
fof(f3023,plain,
( sQ128_spl
| ~ sQ69_spl
| sQ319_spl
| ~ sQ313_spl ),
inference(split_clause,[status(thm)],[f904,f2972,f3019,f1752,f1941]) ).
fof(f3024,plain,
( ~ sQ319_spl
| sQ313_spl ),
inference(split_clause,[status(thm)],[f905,f2972,f3019]) ).
fof(f3027,definition,
( sQ320_spl
<=> sP85_prd ),
introduced(definition,[new_symbols(definition,[sQ320_spl])],[split_symbol_definition]) ).
fof(f3030,plain,
( sQ74_spl
| sQ320_spl
| ~ sQ314_spl ),
inference(split_clause,[status(thm)],[f911,f2980,f3027,f1768]) ).
fof(f3032,plain,
( ~ sQ320_spl
| sQ314_spl ),
inference(split_clause,[status(thm)],[f913,f2980,f3027]) ).
fof(f3035,definition,
( sQ321_spl
<=> sP86_prd ),
introduced(definition,[new_symbols(definition,[sQ321_spl])],[split_symbol_definition]) ).
fof(f3038,plain,
( sQ63_spl
| sQ321_spl
| ~ sQ315_spl ),
inference(split_clause,[status(thm)],[f919,f2988,f3035,f1733]) ).
fof(f3040,plain,
( ~ sQ321_spl
| sQ315_spl ),
inference(split_clause,[status(thm)],[f921,f2988,f3035]) ).
fof(f3041,plain,
( sQ67_spl
| ~ sQ63_spl
| sQ315_spl ),
inference(split_clause,[status(thm)],[f922,f2988,f1733,f1746]) ).
fof(f3042,definition,
( sQ322_spl
<=> sP87_prd ),
introduced(definition,[new_symbols(definition,[sQ322_spl])],[split_symbol_definition]) ).
fof(f3047,plain,
( ~ sQ322_spl
| sQ316_spl ),
inference(split_clause,[status(thm)],[f928,f2995,f3042]) ).
fof(f3050,definition,
( sQ323_spl
<=> sP88_prd ),
introduced(definition,[new_symbols(definition,[sQ323_spl])],[split_symbol_definition]) ).
fof(f3053,plain,
( sQ66_spl
| sQ323_spl
| ~ sQ317_spl ),
inference(split_clause,[status(thm)],[f934,f3003,f3050,f1743]) ).
fof(f3054,plain,
( sQ126_spl
| ~ sQ58_spl
| sQ323_spl
| ~ sQ317_spl ),
inference(split_clause,[status(thm)],[f935,f3003,f3050,f1717,f1935]) ).
fof(f3055,plain,
( ~ sQ323_spl
| sQ317_spl ),
inference(split_clause,[status(thm)],[f936,f3003,f3050]) ).
fof(f3056,plain,
( sQ58_spl
| ~ sQ66_spl
| sQ317_spl ),
inference(split_clause,[status(thm)],[f937,f3003,f1743,f1717]) ).
fof(f3058,definition,
( sQ324_spl
<=> sP89_prd ),
introduced(definition,[new_symbols(definition,[sQ324_spl])],[split_symbol_definition]) ).
fof(f3061,plain,
( sQ67_spl
| sQ324_spl
| ~ sQ318_spl ),
inference(split_clause,[status(thm)],[f942,f3011,f3058,f1746]) ).
fof(f3063,plain,
( ~ sQ324_spl
| sQ318_spl ),
inference(split_clause,[status(thm)],[f944,f3011,f3058]) ).
fof(f3066,definition,
( sQ325_spl
<=> sP90_prd ),
introduced(definition,[new_symbols(definition,[sQ325_spl])],[split_symbol_definition]) ).
fof(f3069,plain,
( sQ68_spl
| sQ325_spl
| ~ sQ319_spl ),
inference(split_clause,[status(thm)],[f950,f3019,f3066,f1749]) ).
fof(f3071,plain,
( ~ sQ325_spl
| sQ319_spl ),
inference(split_clause,[status(thm)],[f952,f3019,f3066]) ).
fof(f3074,definition,
( sQ326_spl
<=> sP91_prd ),
introduced(definition,[new_symbols(definition,[sQ326_spl])],[split_symbol_definition]) ).
fof(f3077,plain,
( sQ69_spl
| sQ326_spl
| ~ sQ320_spl ),
inference(split_clause,[status(thm)],[f958,f3027,f3074,f1752]) ).
fof(f3078,plain,
( sQ129_spl
| ~ sQ73_spl
| sQ326_spl
| ~ sQ320_spl ),
inference(split_clause,[status(thm)],[f959,f3027,f3074,f1765,f1944]) ).
fof(f3079,plain,
( ~ sQ326_spl
| sQ320_spl ),
inference(split_clause,[status(thm)],[f960,f3027,f3074]) ).
fof(f3080,plain,
( sQ73_spl
| ~ sQ69_spl
| sQ320_spl ),
inference(split_clause,[status(thm)],[f961,f3027,f1752,f1765]) ).
fof(f3082,definition,
( sQ327_spl
<=> sP92_prd ),
introduced(definition,[new_symbols(definition,[sQ327_spl])],[split_symbol_definition]) ).
fof(f3085,plain,
( sQ62_spl
| sQ327_spl
| ~ sQ321_spl ),
inference(split_clause,[status(thm)],[f966,f3035,f3082,f1730]) ).
fof(f3087,plain,
( ~ sQ327_spl
| sQ321_spl ),
inference(split_clause,[status(thm)],[f968,f3035,f3082]) ).
fof(f3089,definition,
( sQ328_spl
<=> sP93_prd ),
introduced(definition,[new_symbols(definition,[sQ328_spl])],[split_symbol_definition]) ).
fof(f3094,plain,
( ~ sQ328_spl
| sQ322_spl ),
inference(split_clause,[status(thm)],[f975,f3042,f3089]) ).
fof(f3097,definition,
( sQ329_spl
<=> sP94_prd ),
introduced(definition,[new_symbols(definition,[sQ329_spl])],[split_symbol_definition]) ).
fof(f3100,plain,
( sQ61_spl
| sQ329_spl
| ~ sQ323_spl ),
inference(split_clause,[status(thm)],[f981,f3050,f3097,f1727]) ).
fof(f3102,plain,
( ~ sQ329_spl
| sQ323_spl ),
inference(split_clause,[status(thm)],[f983,f3050,f3097]) ).
fof(f3103,plain,
( sQ57_spl
| ~ sQ61_spl
| sQ323_spl ),
inference(split_clause,[status(thm)],[f984,f3050,f1727,f1714]) ).
fof(f3105,definition,
( sQ330_spl
<=> sP95_prd ),
introduced(definition,[new_symbols(definition,[sQ330_spl])],[split_symbol_definition]) ).
fof(f3108,plain,
( sQ62_spl
| sQ330_spl
| ~ sQ324_spl ),
inference(split_clause,[status(thm)],[f989,f3058,f3105,f1730]) ).
fof(f3110,plain,
( ~ sQ330_spl
| sQ324_spl ),
inference(split_clause,[status(thm)],[f991,f3058,f3105]) ).
fof(f3113,definition,
( sQ331_spl
<=> sP96_prd ),
introduced(definition,[new_symbols(definition,[sQ331_spl])],[split_symbol_definition]) ).
fof(f3116,plain,
( sQ63_spl
| sQ331_spl
| ~ sQ325_spl ),
inference(split_clause,[status(thm)],[f997,f3066,f3113,f1733]) ).
fof(f3118,plain,
( ~ sQ331_spl
| sQ325_spl ),
inference(split_clause,[status(thm)],[f999,f3066,f3113]) ).
fof(f3121,definition,
( sQ332_spl
<=> sP97_prd ),
introduced(definition,[new_symbols(definition,[sQ332_spl])],[split_symbol_definition]) ).
fof(f3124,plain,
( sQ64_spl
| sQ332_spl
| ~ sQ326_spl ),
inference(split_clause,[status(thm)],[f1005,f3074,f3121,f1736]) ).
fof(f3126,plain,
( ~ sQ332_spl
| sQ326_spl ),
inference(split_clause,[status(thm)],[f1007,f3074,f3121]) ).
fof(f3127,plain,
( sQ72_spl
| ~ sQ64_spl
| sQ326_spl ),
inference(split_clause,[status(thm)],[f1008,f3074,f1736,f1762]) ).
fof(f3129,definition,
( sQ333_spl
<=> sP98_prd ),
introduced(definition,[new_symbols(definition,[sQ333_spl])],[split_symbol_definition]) ).
fof(f3132,plain,
( sQ61_spl
| sQ333_spl
| ~ sQ327_spl ),
inference(split_clause,[status(thm)],[f1013,f3082,f3129,f1727]) ).
fof(f3134,plain,
( ~ sQ333_spl
| sQ327_spl ),
inference(split_clause,[status(thm)],[f1015,f3082,f3129]) ).
fof(f3136,definition,
( sQ334_spl
<=> sP99_prd ),
introduced(definition,[new_symbols(definition,[sQ334_spl])],[split_symbol_definition]) ).
fof(f3141,plain,
( ~ sQ334_spl
| sQ328_spl ),
inference(split_clause,[status(thm)],[f1022,f3089,f3136]) ).
fof(f3144,definition,
( sQ335_spl
<=> sP100_prd ),
introduced(definition,[new_symbols(definition,[sQ335_spl])],[split_symbol_definition]) ).
fof(f3147,plain,
( sQ56_spl
| sQ335_spl
| ~ sQ329_spl ),
inference(split_clause,[status(thm)],[f1028,f3097,f3144,f1711]) ).
fof(f3149,plain,
( ~ sQ335_spl
| sQ329_spl ),
inference(split_clause,[status(thm)],[f1030,f3097,f3144]) ).
fof(f3152,definition,
( sQ336_spl
<=> sP101_prd ),
introduced(definition,[new_symbols(definition,[sQ336_spl])],[split_symbol_definition]) ).
fof(f3155,plain,
( sQ57_spl
| sQ336_spl
| ~ sQ330_spl ),
inference(split_clause,[status(thm)],[f1036,f3105,f3152,f1714]) ).
fof(f3157,plain,
( ~ sQ336_spl
| sQ330_spl ),
inference(split_clause,[status(thm)],[f1038,f3105,f3152]) ).
fof(f3160,definition,
( sQ337_spl
<=> sP102_prd ),
introduced(definition,[new_symbols(definition,[sQ337_spl])],[split_symbol_definition]) ).
fof(f3163,plain,
( sQ58_spl
| sQ337_spl
| ~ sQ331_spl ),
inference(split_clause,[status(thm)],[f1044,f3113,f3160,f1717]) ).
fof(f3164,plain,
( sQ128_spl
| ~ sQ66_spl
| sQ337_spl
| ~ sQ331_spl ),
inference(split_clause,[status(thm)],[f1045,f3113,f3160,f1743,f1941]) ).
fof(f3165,plain,
( ~ sQ337_spl
| sQ331_spl ),
inference(split_clause,[status(thm)],[f1046,f3113,f3160]) ).
fof(f3166,plain,
( sQ66_spl
| ~ sQ58_spl
| sQ331_spl ),
inference(split_clause,[status(thm)],[f1047,f3113,f1717,f1743]) ).
fof(f3168,definition,
( sQ338_spl
<=> sP103_prd ),
introduced(definition,[new_symbols(definition,[sQ338_spl])],[split_symbol_definition]) ).
fof(f3171,plain,
( sQ59_spl
| sQ338_spl
| ~ sQ332_spl ),
inference(split_clause,[status(thm)],[f1052,f3121,f3168,f1720]) ).
fof(f3172,plain,
( sQ129_spl
| ~ sQ71_spl
| sQ338_spl
| ~ sQ332_spl ),
inference(split_clause,[status(thm)],[f1053,f3121,f3168,f1759,f1944]) ).
fof(f3173,plain,
( ~ sQ338_spl
| sQ332_spl ),
inference(split_clause,[status(thm)],[f1054,f3121,f3168]) ).
fof(f3174,plain,
( sQ71_spl
| ~ sQ59_spl
| sQ332_spl ),
inference(split_clause,[status(thm)],[f1055,f3121,f1720,f1759]) ).
fof(f3176,definition,
( sQ339_spl
<=> sP104_prd ),
introduced(definition,[new_symbols(definition,[sQ339_spl])],[split_symbol_definition]) ).
fof(f3180,plain,
( ~ sQ52_spl
| sQ339_spl
| ~ sQ333_spl ),
inference(split_clause,[status(thm)],[f1061,f3129,f3176,f1698]) ).
fof(f3181,plain,
( ~ sQ339_spl
| sQ333_spl ),
inference(split_clause,[status(thm)],[f1062,f3129,f3176]) ).
fof(f3183,definition,
( sQ340_spl
<=> sP105_prd ),
introduced(definition,[new_symbols(definition,[sQ340_spl])],[split_symbol_definition]) ).
fof(f3188,plain,
( ~ sQ340_spl
| sQ334_spl ),
inference(split_clause,[status(thm)],[f1069,f3136,f3183]) ).
fof(f3191,definition,
( sQ341_spl
<=> sP106_prd ),
introduced(definition,[new_symbols(definition,[sQ341_spl])],[split_symbol_definition]) ).
fof(f3194,plain,
( sQ51_spl
| sQ341_spl
| ~ sQ335_spl ),
inference(split_clause,[status(thm)],[f1075,f3144,f3191,f1695]) ).
fof(f3196,plain,
( ~ sQ341_spl
| sQ335_spl ),
inference(split_clause,[status(thm)],[f1077,f3144,f3191]) ).
fof(f3199,definition,
( sQ342_spl
<=> sP107_prd ),
introduced(definition,[new_symbols(definition,[sQ342_spl])],[split_symbol_definition]) ).
fof(f3203,plain,
( sQ127_spl
| ~ sQ60_spl
| sQ342_spl
| ~ sQ336_spl ),
inference(split_clause,[status(thm)],[f1084,f3152,f3199,f1724,f1938]) ).
fof(f3204,plain,
( ~ sQ342_spl
| sQ336_spl ),
inference(split_clause,[status(thm)],[f1085,f3152,f3199]) ).
fof(f3205,plain,
( sQ60_spl
| ~ sQ52_spl
| sQ336_spl ),
inference(split_clause,[status(thm)],[f1086,f3152,f1698,f1724]) ).
fof(f3207,definition,
( sQ343_spl
<=> sP108_prd ),
introduced(definition,[new_symbols(definition,[sQ343_spl])],[split_symbol_definition]) ).
fof(f3210,plain,
( sQ53_spl
| sQ343_spl
| ~ sQ337_spl ),
inference(split_clause,[status(thm)],[f1091,f3160,f3207,f1701]) ).
fof(f3212,plain,
( ~ sQ343_spl
| sQ337_spl ),
inference(split_clause,[status(thm)],[f1093,f3160,f3207]) ).
fof(f3215,definition,
( sQ344_spl
<=> sP109_prd ),
introduced(definition,[new_symbols(definition,[sQ344_spl])],[split_symbol_definition]) ).
fof(f3218,plain,
( sQ54_spl
| sQ344_spl
| ~ sQ338_spl ),
inference(split_clause,[status(thm)],[f1099,f3168,f3215,f1704]) ).
fof(f3220,plain,
( ~ sQ344_spl
| sQ338_spl ),
inference(split_clause,[status(thm)],[f1101,f3168,f3215]) ).
fof(f3223,definition,
( sQ345_spl
<=> sP110_prd ),
introduced(definition,[new_symbols(definition,[sQ345_spl])],[split_symbol_definition]) ).
fof(f3226,plain,
( sQ34_spl
| sQ345_spl
| ~ sQ339_spl ),
inference(split_clause,[status(thm)],[f1107,f3176,f3223,f1640]) ).
fof(f3228,plain,
( ~ sQ345_spl
| sQ339_spl ),
inference(split_clause,[status(thm)],[f1109,f3176,f3223]) ).
fof(f3229,plain,
( sQ46_spl
| ~ sQ34_spl
| sQ339_spl ),
inference(split_clause,[status(thm)],[f1110,f3176,f1640,f1679]) ).
fof(f3230,definition,
( sQ346_spl
<=> sP111_prd ),
introduced(definition,[new_symbols(definition,[sQ346_spl])],[split_symbol_definition]) ).
fof(f3235,plain,
( ~ sQ346_spl
| sQ340_spl ),
inference(split_clause,[status(thm)],[f1116,f3183,f3230]) ).
fof(f3238,definition,
( sQ347_spl
<=> sP112_prd ),
introduced(definition,[new_symbols(definition,[sQ347_spl])],[split_symbol_definition]) ).
fof(f3241,plain,
( sQ46_spl
| sQ347_spl
| ~ sQ341_spl ),
inference(split_clause,[status(thm)],[f1122,f3191,f3238,f1679]) ).
fof(f3243,plain,
( ~ sQ347_spl
| sQ341_spl ),
inference(split_clause,[status(thm)],[f1124,f3191,f3238]) ).
fof(f3246,definition,
( sQ348_spl
<=> sP113_prd ),
introduced(definition,[new_symbols(definition,[sQ348_spl])],[split_symbol_definition]) ).
fof(f3249,plain,
( sQ47_spl
| sQ348_spl
| ~ sQ342_spl ),
inference(split_clause,[status(thm)],[f1130,f3199,f3246,f1682]) ).
fof(f3250,plain,
( sQ127_spl
| ~ sQ39_spl
| sQ348_spl
| ~ sQ342_spl ),
inference(split_clause,[status(thm)],[f1131,f3199,f3246,f1656,f1938]) ).
fof(f3251,plain,
( ~ sQ348_spl
| sQ342_spl ),
inference(split_clause,[status(thm)],[f1132,f3199,f3246]) ).
fof(f3252,plain,
( sQ39_spl
| ~ sQ47_spl
| sQ342_spl ),
inference(split_clause,[status(thm)],[f1133,f3199,f1682,f1656]) ).
fof(f3254,definition,
( sQ349_spl
<=> sP114_prd ),
introduced(definition,[new_symbols(definition,[sQ349_spl])],[split_symbol_definition]) ).
fof(f3257,plain,
( sQ48_spl
| sQ349_spl
| ~ sQ343_spl ),
inference(split_clause,[status(thm)],[f1138,f3207,f3254,f1685]) ).
fof(f3258,plain,
( sQ128_spl
| ~ sQ44_spl
| sQ349_spl
| ~ sQ343_spl ),
inference(split_clause,[status(thm)],[f1139,f3207,f3254,f1672,f1941]) ).
fof(f3259,plain,
( ~ sQ349_spl
| sQ343_spl ),
inference(split_clause,[status(thm)],[f1140,f3207,f3254]) ).
fof(f3260,plain,
( sQ44_spl
| ~ sQ48_spl
| sQ343_spl ),
inference(split_clause,[status(thm)],[f1141,f3207,f1685,f1672]) ).
fof(f3262,definition,
( sQ350_spl
<=> sP115_prd ),
introduced(definition,[new_symbols(definition,[sQ350_spl])],[split_symbol_definition]) ).
fof(f3265,plain,
( sQ49_spl
| sQ350_spl
| ~ sQ344_spl ),
inference(split_clause,[status(thm)],[f1146,f3215,f3262,f1688]) ).
fof(f3267,plain,
( ~ sQ350_spl
| sQ344_spl ),
inference(split_clause,[status(thm)],[f1148,f3215,f3262]) ).
fof(f3270,definition,
( sQ351_spl
<=> sP116_prd ),
introduced(definition,[new_symbols(definition,[sQ351_spl])],[split_symbol_definition]) ).
fof(f3273,plain,
( sQ33_spl
| sQ351_spl
| ~ sQ345_spl ),
inference(split_clause,[status(thm)],[f1154,f3223,f3270,f1637]) ).
fof(f3275,plain,
( ~ sQ351_spl
| sQ345_spl ),
inference(split_clause,[status(thm)],[f1156,f3223,f3270]) ).
fof(f3276,plain,
( sQ41_spl
| ~ sQ33_spl
| sQ345_spl ),
inference(split_clause,[status(thm)],[f1157,f3223,f1637,f1663]) ).
fof(f3277,definition,
( sQ352_spl
<=> sP117_prd ),
introduced(definition,[new_symbols(definition,[sQ352_spl])],[split_symbol_definition]) ).
fof(f3282,plain,
( ~ sQ352_spl
| sQ346_spl ),
inference(split_clause,[status(thm)],[f1163,f3230,f3277]) ).
fof(f3285,definition,
( sQ353_spl
<=> sP118_prd ),
introduced(definition,[new_symbols(definition,[sQ353_spl])],[split_symbol_definition]) ).
fof(f3288,plain,
( sQ41_spl
| sQ353_spl
| ~ sQ347_spl ),
inference(split_clause,[status(thm)],[f1169,f3238,f3285,f1663]) ).
fof(f3290,plain,
( ~ sQ353_spl
| sQ347_spl ),
inference(split_clause,[status(thm)],[f1171,f3238,f3285]) ).
fof(f3293,definition,
( sQ354_spl
<=> sP119_prd ),
introduced(definition,[new_symbols(definition,[sQ354_spl])],[split_symbol_definition]) ).
fof(f3296,plain,
( sQ42_spl
| sQ354_spl
| ~ sQ348_spl ),
inference(split_clause,[status(thm)],[f1177,f3246,f3293,f1666]) ).
fof(f3297,plain,
( sQ127_spl
| ~ sQ38_spl
| sQ354_spl
| ~ sQ348_spl ),
inference(split_clause,[status(thm)],[f1178,f3246,f3293,f1653,f1938]) ).
fof(f3298,plain,
( ~ sQ354_spl
| sQ348_spl ),
inference(split_clause,[status(thm)],[f1179,f3246,f3293]) ).
fof(f3299,plain,
( sQ38_spl
| ~ sQ42_spl
| sQ348_spl ),
inference(split_clause,[status(thm)],[f1180,f3246,f1666,f1653]) ).
fof(f3301,definition,
( sQ355_spl
<=> sP120_prd ),
introduced(definition,[new_symbols(definition,[sQ355_spl])],[split_symbol_definition]) ).
fof(f3304,plain,
( sQ43_spl
| sQ355_spl
| ~ sQ349_spl ),
inference(split_clause,[status(thm)],[f1185,f3254,f3301,f1669]) ).
fof(f3306,plain,
( ~ sQ355_spl
| sQ349_spl ),
inference(split_clause,[status(thm)],[f1187,f3254,f3301]) ).
fof(f3309,definition,
( sQ356_spl
<=> sP121_prd ),
introduced(definition,[new_symbols(definition,[sQ356_spl])],[split_symbol_definition]) ).
fof(f3312,plain,
( sQ44_spl
| sQ356_spl
| ~ sQ350_spl ),
inference(split_clause,[status(thm)],[f1193,f3262,f3309,f1672]) ).
fof(f3313,plain,
( sQ129_spl
| ~ sQ48_spl
| sQ356_spl
| ~ sQ350_spl ),
inference(split_clause,[status(thm)],[f1194,f3262,f3309,f1685,f1944]) ).
fof(f3314,plain,
( ~ sQ356_spl
| sQ350_spl ),
inference(split_clause,[status(thm)],[f1195,f3262,f3309]) ).
fof(f3315,plain,
( sQ48_spl
| ~ sQ44_spl
| sQ350_spl ),
inference(split_clause,[status(thm)],[f1196,f3262,f1672,f1685]) ).
fof(f3317,definition,
( sQ357_spl
<=> sP122_prd ),
introduced(definition,[new_symbols(definition,[sQ357_spl])],[split_symbol_definition]) ).
fof(f3320,plain,
( sQ32_spl
| sQ357_spl
| ~ sQ351_spl ),
inference(split_clause,[status(thm)],[f1201,f3270,f3317,f1634]) ).
fof(f3322,plain,
( ~ sQ357_spl
| sQ351_spl ),
inference(split_clause,[status(thm)],[f1203,f3270,f3317]) ).
fof(f3323,plain,
( sQ36_spl
| ~ sQ32_spl
| sQ351_spl ),
inference(split_clause,[status(thm)],[f1204,f3270,f1634,f1647]) ).
fof(f3324,definition,
( sQ358_spl
<=> sP123_prd ),
introduced(definition,[new_symbols(definition,[sQ358_spl])],[split_symbol_definition]) ).
fof(f3329,plain,
( ~ sQ358_spl
| sQ352_spl ),
inference(split_clause,[status(thm)],[f1210,f3277,f3324]) ).
fof(f3332,definition,
( sQ359_spl
<=> sP124_prd ),
introduced(definition,[new_symbols(definition,[sQ359_spl])],[split_symbol_definition]) ).
fof(f3335,plain,
( sQ36_spl
| sQ359_spl
| ~ sQ353_spl ),
inference(split_clause,[status(thm)],[f1216,f3285,f3332,f1647]) ).
fof(f3337,plain,
( ~ sQ359_spl
| sQ353_spl ),
inference(split_clause,[status(thm)],[f1218,f3285,f3332]) ).
fof(f3340,definition,
( sQ360_spl
<=> sP125_prd ),
introduced(definition,[new_symbols(definition,[sQ360_spl])],[split_symbol_definition]) ).
fof(f3343,plain,
( sQ37_spl
| sQ360_spl
| ~ sQ354_spl ),
inference(split_clause,[status(thm)],[f1224,f3293,f3340,f1650]) ).
fof(f3345,plain,
( ~ sQ360_spl
| sQ354_spl ),
inference(split_clause,[status(thm)],[f1226,f3293,f3340]) ).
fof(f3348,definition,
( sQ361_spl
<=> sP126_prd ),
introduced(definition,[new_symbols(definition,[sQ361_spl])],[split_symbol_definition]) ).
fof(f3351,plain,
( sQ38_spl
| sQ361_spl
| ~ sQ355_spl ),
inference(split_clause,[status(thm)],[f1232,f3301,f3348,f1653]) ).
fof(f3352,plain,
( sQ128_spl
| ~ sQ42_spl
| sQ361_spl
| ~ sQ355_spl ),
inference(split_clause,[status(thm)],[f1233,f3301,f3348,f1666,f1941]) ).
fof(f3353,plain,
( ~ sQ361_spl
| sQ355_spl ),
inference(split_clause,[status(thm)],[f1234,f3301,f3348]) ).
fof(f3354,plain,
( sQ42_spl
| ~ sQ38_spl
| sQ355_spl ),
inference(split_clause,[status(thm)],[f1235,f3301,f1653,f1666]) ).
fof(f3356,definition,
( sQ362_spl
<=> sP127_prd ),
introduced(definition,[new_symbols(definition,[sQ362_spl])],[split_symbol_definition]) ).
fof(f3359,plain,
( sQ39_spl
| sQ362_spl
| ~ sQ356_spl ),
inference(split_clause,[status(thm)],[f1240,f3309,f3356,f1656]) ).
fof(f3360,plain,
( sQ129_spl
| ~ sQ47_spl
| sQ362_spl
| ~ sQ356_spl ),
inference(split_clause,[status(thm)],[f1241,f3309,f3356,f1682,f1944]) ).
fof(f3361,plain,
( ~ sQ362_spl
| sQ356_spl ),
inference(split_clause,[status(thm)],[f1242,f3309,f3356]) ).
fof(f3362,plain,
( sQ47_spl
| ~ sQ39_spl
| sQ356_spl ),
inference(split_clause,[status(thm)],[f1243,f3309,f1656,f1682]) ).
fof(f3364,definition,
( sQ363_spl
<=> sP128_prd ),
introduced(definition,[new_symbols(definition,[sQ363_spl])],[split_symbol_definition]) ).
fof(f3367,plain,
( sQ31_spl
| sQ363_spl
| ~ sQ357_spl ),
inference(split_clause,[status(thm)],[f1248,f3317,f3364,f1631]) ).
fof(f3369,plain,
( ~ sQ363_spl
| sQ357_spl ),
inference(split_clause,[status(thm)],[f1250,f3317,f3364]) ).
fof(f3371,definition,
( sQ364_spl
<=> sP129_prd ),
introduced(definition,[new_symbols(definition,[sQ364_spl])],[split_symbol_definition]) ).
fof(f3376,plain,
( ~ sQ364_spl
| sQ358_spl ),
inference(split_clause,[status(thm)],[f1257,f3324,f3371]) ).
fof(f3379,definition,
( sQ365_spl
<=> sP130_prd ),
introduced(definition,[new_symbols(definition,[sQ365_spl])],[split_symbol_definition]) ).
fof(f3382,plain,
( sQ31_spl
| sQ365_spl
| ~ sQ359_spl ),
inference(split_clause,[status(thm)],[f1263,f3332,f3379,f1631]) ).
fof(f3384,plain,
( ~ sQ365_spl
| sQ359_spl ),
inference(split_clause,[status(thm)],[f1265,f3332,f3379]) ).
fof(f3387,definition,
( sQ366_spl
<=> sP131_prd ),
introduced(definition,[new_symbols(definition,[sQ366_spl])],[split_symbol_definition]) ).
fof(f3390,plain,
( sQ32_spl
| sQ366_spl
| ~ sQ360_spl ),
inference(split_clause,[status(thm)],[f1271,f3340,f3387,f1634]) ).
fof(f3393,plain,
( sQ36_spl
| ~ sQ32_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f1274,f3340,f1634,f1647]) ).
fof(f3395,definition,
( sQ367_spl
<=> sP132_prd ),
introduced(definition,[new_symbols(definition,[sQ367_spl])],[split_symbol_definition]) ).
fof(f3398,plain,
( sQ33_spl
| sQ367_spl
| ~ sQ361_spl ),
inference(split_clause,[status(thm)],[f1279,f3348,f3395,f1637]) ).
fof(f3400,plain,
( ~ sQ367_spl
| sQ361_spl ),
inference(split_clause,[status(thm)],[f1281,f3348,f3395]) ).
fof(f3401,plain,
( sQ41_spl
| ~ sQ33_spl
| sQ361_spl ),
inference(split_clause,[status(thm)],[f1282,f3348,f1637,f1663]) ).
fof(f3403,definition,
( sQ368_spl
<=> sP133_prd ),
introduced(definition,[new_symbols(definition,[sQ368_spl])],[split_symbol_definition]) ).
fof(f3406,plain,
( sQ34_spl
| sQ368_spl
| ~ sQ362_spl ),
inference(split_clause,[status(thm)],[f1287,f3356,f3403,f1640]) ).
fof(f3408,plain,
( ~ sQ368_spl
| sQ362_spl ),
inference(split_clause,[status(thm)],[f1289,f3356,f3403]) ).
fof(f3409,plain,
( sQ46_spl
| ~ sQ34_spl
| sQ362_spl ),
inference(split_clause,[status(thm)],[f1290,f3356,f1640,f1679]) ).
fof(f3411,definition,
( sQ369_spl
<=> sP134_prd ),
introduced(definition,[new_symbols(definition,[sQ369_spl])],[split_symbol_definition]) ).
fof(f3415,plain,
( ~ sQ26_spl
| sQ369_spl
| ~ sQ363_spl ),
inference(split_clause,[status(thm)],[f1296,f3364,f3411,f1615]) ).
fof(f3416,plain,
( ~ sQ369_spl
| sQ363_spl ),
inference(split_clause,[status(thm)],[f1297,f3364,f3411]) ).
fof(f3418,definition,
( sQ370_spl
<=> sP135_prd ),
introduced(definition,[new_symbols(definition,[sQ370_spl])],[split_symbol_definition]) ).
fof(f3423,plain,
( ~ sQ370_spl
| sQ364_spl ),
inference(split_clause,[status(thm)],[f1304,f3371,f3418]) ).
fof(f3426,definition,
( sQ371_spl
<=> sP136_prd ),
introduced(definition,[new_symbols(definition,[sQ371_spl])],[split_symbol_definition]) ).
fof(f3430,plain,
( sQ126_spl
| ~ sQ30_spl
| sQ371_spl
| ~ sQ365_spl ),
inference(split_clause,[status(thm)],[f1311,f3379,f3426,f1628,f1935]) ).
fof(f3432,plain,
( sQ30_spl
| ~ sQ26_spl
| sQ365_spl ),
inference(split_clause,[status(thm)],[f1313,f3379,f1615,f1628]) ).
fof(f3434,definition,
( sQ372_spl
<=> sP137_prd ),
introduced(definition,[new_symbols(definition,[sQ372_spl])],[split_symbol_definition]) ).
fof(f3437,plain,
( sQ27_spl
| sQ372_spl
| ~ sQ366_spl ),
inference(split_clause,[status(thm)],[f1318,f3387,f3434,f1618]) ).
fof(f3442,definition,
( sQ373_spl
<=> sP138_prd ),
introduced(definition,[new_symbols(definition,[sQ373_spl])],[split_symbol_definition]) ).
fof(f3445,plain,
( sQ28_spl
| sQ373_spl
| ~ sQ367_spl ),
inference(split_clause,[status(thm)],[f1326,f3395,f3442,f1621]) ).
fof(f3447,plain,
( ~ sQ373_spl
| sQ367_spl ),
inference(split_clause,[status(thm)],[f1328,f3395,f3442]) ).
fof(f3450,definition,
( sQ374_spl
<=> sP139_prd ),
introduced(definition,[new_symbols(definition,[sQ374_spl])],[split_symbol_definition]) ).
fof(f3453,plain,
( sQ29_spl
| sQ374_spl
| ~ sQ368_spl ),
inference(split_clause,[status(thm)],[f1334,f3403,f3450,f1624]) ).
fof(f3455,plain,
( ~ sQ374_spl
| sQ368_spl ),
inference(split_clause,[status(thm)],[f1336,f3403,f3450]) ).
fof(f3458,definition,
( sQ375_spl
<=> sP140_prd ),
introduced(definition,[new_symbols(definition,[sQ375_spl])],[split_symbol_definition]) ).
fof(f3461,plain,
( sQ4_spl
| sQ375_spl
| ~ sQ369_spl ),
inference(split_clause,[status(thm)],[f1342,f3411,f3458,f1544]) ).
fof(f3463,plain,
( ~ sQ375_spl
| sQ369_spl ),
inference(split_clause,[status(thm)],[f1344,f3411,f3458]) ).
fof(f3464,plain,
( sQ20_spl
| ~ sQ4_spl
| sQ369_spl ),
inference(split_clause,[status(thm)],[f1345,f3411,f1544,f1596]) ).
fof(f3465,definition,
( sQ376_spl
<=> sP141_prd ),
introduced(definition,[new_symbols(definition,[sQ376_spl])],[split_symbol_definition]) ).
fof(f3470,plain,
( ~ sQ376_spl
| sQ370_spl ),
inference(split_clause,[status(thm)],[f1351,f3418,f3465]) ).
fof(f3473,definition,
( sQ377_spl
<=> sP142_prd ),
introduced(definition,[new_symbols(definition,[sQ377_spl])],[split_symbol_definition]) ).
fof(f3476,plain,
( sQ21_spl
| sQ377_spl
| ~ sQ371_spl ),
inference(split_clause,[status(thm)],[f1357,f3426,f3473,f1599]) ).
fof(f3481,definition,
( sQ378_spl
<=> sP143_prd ),
introduced(definition,[new_symbols(definition,[sQ378_spl])],[split_symbol_definition]) ).
fof(f3484,plain,
( sQ22_spl
| sQ378_spl
| ~ sQ372_spl ),
inference(split_clause,[status(thm)],[f1365,f3434,f3481,f1602]) ).
fof(f3489,definition,
( sQ379_spl
<=> sP144_prd ),
introduced(definition,[new_symbols(definition,[sQ379_spl])],[split_symbol_definition]) ).
fof(f3492,plain,
( sQ23_spl
| sQ379_spl
| ~ sQ373_spl ),
inference(split_clause,[status(thm)],[f1373,f3442,f3489,f1605]) ).
fof(f3494,plain,
( ~ sQ379_spl
| sQ373_spl ),
inference(split_clause,[status(thm)],[f1375,f3442,f3489]) ).
fof(f3497,definition,
( sQ380_spl
<=> sP145_prd ),
introduced(definition,[new_symbols(definition,[sQ380_spl])],[split_symbol_definition]) ).
fof(f3501,plain,
( sQ129_spl
| ~ sQ24_spl
| sQ380_spl
| ~ sQ374_spl ),
inference(split_clause,[status(thm)],[f1382,f3450,f3497,f1608,f1944]) ).
fof(f3502,plain,
( ~ sQ380_spl
| sQ374_spl ),
inference(split_clause,[status(thm)],[f1383,f3450,f3497]) ).
fof(f3505,definition,
( sQ381_spl
<=> sP146_prd ),
introduced(definition,[new_symbols(definition,[sQ381_spl])],[split_symbol_definition]) ).
fof(f3508,plain,
( sQ3_spl
| sQ381_spl
| ~ sQ375_spl ),
inference(split_clause,[status(thm)],[f1389,f3458,f3505,f1541]) ).
fof(f3511,plain,
( sQ15_spl
| ~ sQ3_spl
| sQ375_spl ),
inference(split_clause,[status(thm)],[f1392,f3458,f1541,f1580]) ).
fof(f3512,definition,
( sQ382_spl
<=> sP147_prd ),
introduced(definition,[new_symbols(definition,[sQ382_spl])],[split_symbol_definition]) ).
fof(f3517,plain,
( ~ sQ382_spl
| sQ376_spl ),
inference(split_clause,[status(thm)],[f1398,f3465,f3512]) ).
fof(f3520,definition,
( sQ383_spl
<=> sP148_prd ),
introduced(definition,[new_symbols(definition,[sQ383_spl])],[split_symbol_definition]) ).
fof(f3523,plain,
( sQ16_spl
| sQ383_spl
| ~ sQ377_spl ),
inference(split_clause,[status(thm)],[f1404,f3473,f3520,f1583]) ).
fof(f3528,definition,
( sQ384_spl
<=> sP149_prd ),
introduced(definition,[new_symbols(definition,[sQ384_spl])],[split_symbol_definition]) ).
fof(f3531,plain,
( sQ17_spl
| sQ384_spl
| ~ sQ378_spl ),
inference(split_clause,[status(thm)],[f1412,f3481,f3528,f1586]) ).
fof(f3536,definition,
( sQ385_spl
<=> sP150_prd ),
introduced(definition,[new_symbols(definition,[sQ385_spl])],[split_symbol_definition]) ).
fof(f3540,plain,
( sQ128_spl
| ~ sQ18_spl
| sQ385_spl
| ~ sQ379_spl ),
inference(split_clause,[status(thm)],[f1421,f3489,f3536,f1589,f1941]) ).
fof(f3541,plain,
( ~ sQ385_spl
| sQ379_spl ),
inference(split_clause,[status(thm)],[f1422,f3489,f3536]) ).
fof(f3544,definition,
( sQ386_spl
<=> sP151_prd ),
introduced(definition,[new_symbols(definition,[sQ386_spl])],[split_symbol_definition]) ).
fof(f3547,plain,
( sQ19_spl
| sQ386_spl
| ~ sQ380_spl ),
inference(split_clause,[status(thm)],[f1428,f3497,f3544,f1592]) ).
fof(f3549,plain,
( ~ sQ386_spl
| sQ380_spl ),
inference(split_clause,[status(thm)],[f1430,f3497,f3544]) ).
fof(f3552,definition,
( sQ387_spl
<=> sP152_prd ),
introduced(definition,[new_symbols(definition,[sQ387_spl])],[split_symbol_definition]) ).
fof(f3555,plain,
( sQ2_spl
| sQ387_spl
| ~ sQ381_spl ),
inference(split_clause,[status(thm)],[f1436,f3505,f3552,f1538]) ).
fof(f3559,definition,
( sQ388_spl
<=> sP153_prd ),
introduced(definition,[new_symbols(definition,[sQ388_spl])],[split_symbol_definition]) ).
fof(f3564,plain,
( ~ sQ388_spl
| sQ382_spl ),
inference(split_clause,[status(thm)],[f1445,f3512,f3559]) ).
fof(f3567,definition,
( sQ389_spl
<=> sP154_prd ),
introduced(definition,[new_symbols(definition,[sQ389_spl])],[split_symbol_definition]) ).
fof(f3570,plain,
( sQ11_spl
| sQ389_spl
| ~ sQ383_spl ),
inference(split_clause,[status(thm)],[f1451,f3520,f3567,f1567]) ).
fof(f3575,definition,
( sQ390_spl
<=> sP155_prd ),
introduced(definition,[new_symbols(definition,[sQ390_spl])],[split_symbol_definition]) ).
fof(f3579,plain,
( sQ127_spl
| ~ sQ12_spl
| sQ390_spl
| ~ sQ384_spl ),
inference(split_clause,[status(thm)],[f1460,f3528,f3575,f1570,f1938]) ).
fof(f3583,definition,
( sQ391_spl
<=> sP156_prd ),
introduced(definition,[new_symbols(definition,[sQ391_spl])],[split_symbol_definition]) ).
fof(f3586,plain,
( sQ13_spl
| sQ391_spl
| ~ sQ385_spl ),
inference(split_clause,[status(thm)],[f1467,f3536,f3583,f1573]) ).
fof(f3588,plain,
( ~ sQ391_spl
| sQ385_spl ),
inference(split_clause,[status(thm)],[f1469,f3536,f3583]) ).
fof(f3591,definition,
( sQ392_spl
<=> sP157_prd ),
introduced(definition,[new_symbols(definition,[sQ392_spl])],[split_symbol_definition]) ).
fof(f3594,plain,
( sQ14_spl
| sQ392_spl
| ~ sQ386_spl ),
inference(split_clause,[status(thm)],[f1475,f3544,f3591,f1576]) ).
fof(f3596,plain,
( ~ sQ392_spl
| sQ386_spl ),
inference(split_clause,[status(thm)],[f1477,f3544,f3591]) ).
fof(f3601,plain,
( sQ1_spl
| ~ sQ0_spl
| ~ sQ387_spl ),
inference(split_clause,[status(thm)],[f1483,f3552,f1532,f1535]) ).
fof(f3610,plain,
( ~ sQ125_spl
| ~ sQ0_spl
| sQ388_spl ),
inference(split_clause,[status(thm)],[f1493,f3559,f1532,f1932]) ).
fof(f3614,plain,
( sQ126_spl
| ~ sQ6_spl
| sQ1_spl
| ~ sQ389_spl ),
inference(split_clause,[status(thm)],[f1498,f3567,f1535,f1551,f1935]) ).
fof(f3621,plain,
( sQ7_spl
| sQ2_spl
| ~ sQ390_spl ),
inference(split_clause,[status(thm)],[f1506,f3575,f1538,f1554]) ).
fof(f3629,plain,
( sQ8_spl
| sQ3_spl
| ~ sQ391_spl ),
inference(split_clause,[status(thm)],[f1515,f3583,f1541,f1557]) ).
fof(f3633,plain,
( sQ15_spl
| ~ sQ3_spl
| sQ391_spl ),
inference(split_clause,[status(thm)],[f1519,f3583,f1541,f1580]) ).
fof(f3637,plain,
( sQ9_spl
| sQ4_spl
| ~ sQ392_spl ),
inference(split_clause,[status(thm)],[f1524,f3591,f1544,f1560]) ).
fof(f3641,plain,
( sQ20_spl
| ~ sQ4_spl
| sQ392_spl ),
inference(split_clause,[status(thm)],[f1528,f3591,f1544,f1596]) ).
fof(f3645,plain,
op(e4,e0) = e4,
inference(backward_demodulation,[status(thm)],[f95,f43]) ).
fof(f3646,plain,
op(e0,e4) = e4,
inference(backward_demodulation,[status(thm)],[f95,f42]) ).
fof(f3647,plain,
op(e3,e0) = e3,
inference(backward_demodulation,[status(thm)],[f95,f41]) ).
fof(f3648,plain,
op(e0,e3) = e3,
inference(backward_demodulation,[status(thm)],[f95,f40]) ).
fof(f3649,plain,
op(e2,e0) = e2,
inference(backward_demodulation,[status(thm)],[f95,f39]) ).
fof(f3650,plain,
op(e0,e2) = e2,
inference(backward_demodulation,[status(thm)],[f95,f38]) ).
fof(f3651,plain,
op(e1,e0) = e1,
inference(backward_demodulation,[status(thm)],[f95,f37]) ).
fof(f3652,plain,
op(e0,e1) = e1,
inference(backward_demodulation,[status(thm)],[f95,f36]) ).
fof(f3653,plain,
op(e0,e0) = e0,
inference(backward_demodulation,[status(thm)],[f95,f35]) ).
fof(f3660,plain,
( ~ sQ194_spl
| op(e2,e3) != op(e3,e4) ),
inference(backward_demodulation,[status(thm)],[f2257,f134]) ).
fof(f3661,plain,
( ~ sQ194_spl
| op(e1,e3) != op(e3,e4) ),
inference(backward_demodulation,[status(thm)],[f2257,f132]) ).
fof(f3666,plain,
( ~ sQ183_spl
| op(e3,e2) != op(e2,e4) ),
inference(backward_demodulation,[status(thm)],[f2219,f125]) ).
fof(f3668,plain,
( ~ sQ183_spl
| op(e1,e2) != op(e2,e4) ),
inference(backward_demodulation,[status(thm)],[f2219,f122]) ).
fof(f3673,plain,
( ~ sQ171_spl
| op(e2,e1) != op(e1,e4) ),
inference(backward_demodulation,[status(thm)],[f2178,f114]) ).
fof(f3679,plain,
( ~ sQ158_spl
| op(e1,e0) != op(e0,e4) ),
inference(backward_demodulation,[status(thm)],[f2134,f102]) ).
fof(f3681,plain,
( ~ sQ180_spl
| op(e2,e3) != op(e3,e4) ),
inference(backward_demodulation,[status(thm)],[f2209,f184]) ).
fof(f3683,plain,
( ~ sQ180_spl
| op(e3,e1) != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f2209,f180]) ).
fof(f3686,plain,
( ~ sQ180_spl
| op(e1,e2) != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f2209,f121]) ).
fof(f3688,plain,
( ~ sQ168_spl
| op(e1,e3) != op(e3,e4) ),
inference(backward_demodulation,[status(thm)],[f2168,f182]) ).
fof(f3694,plain,
( ~ sQ155_spl
| op(e0,e3) != op(e3,e4) ),
inference(backward_demodulation,[status(thm)],[f2124,f179]) ).
fof(f3699,plain,
( ~ sQ165_spl
| op(e1,e2) != op(e2,e4) ),
inference(backward_demodulation,[status(thm)],[f2158,f172]) ).
fof(f3700,plain,
( ~ sQ165_spl
| op(e1,e2) != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f2158,f171]) ).
fof(f3706,plain,
( ~ sQ152_spl
| op(e0,e2) != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f2114,f168]) ).
fof(f3710,plain,
( ~ sQ149_spl
| op(e0,e1) != op(e1,e4) ),
inference(backward_demodulation,[status(thm)],[f2104,f159]) ).
fof(f3711,plain,
( ~ sQ149_spl
| op(e0,e1) != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f2104,f158]) ).
fof(f3713,plain,
( ~ sQ149_spl
| op(e0,e1) != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f2104,f156]) ).
fof(f3715,plain,
( ~ sQ204_spl
| ~ sQ194_spl
| op(op(e3,e4),e4) = e3 ),
inference(forward_demodulation,[status(thm)],[f2257,f2291]) ).
fof(f3717,plain,
( ~ sQ202_spl
| ~ sQ183_spl
| op(op(e2,e4),e4) = e2 ),
inference(forward_demodulation,[status(thm)],[f2219,f2284]) ).
fof(f3719,plain,
( ~ sQ200_spl
| ~ sQ171_spl
| op(op(e1,e4),e4) = e1 ),
inference(forward_demodulation,[status(thm)],[f2178,f2277]) ).
fof(f3720,plain,
( sQ199_spl
| ~ sQ171_spl
| op(op(e1,e4),e1) != e4 ),
inference(forward_demodulation,[status(thm)],[f2178,f2275]) ).
fof(f3721,plain,
( ~ sQ198_spl
| ~ sQ158_spl
| op(op(e0,e4),e4) = e0 ),
inference(forward_demodulation,[status(thm)],[f2134,f2270]) ).
fof(f3725,plain,
( sQ195_spl
| ~ sQ204_spl
| ~ sQ194_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f3715,f2261]) ).
fof(f3726,plain,
( sQ195_spl
| ~ sQ204_spl
| ~ sQ194_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3725]) ).
fof(f3727,plain,
( sQ195_spl
| ~ sQ204_spl
| ~ sQ194_spl ),
inference(contradiction_clause,[status(thm)],[f3726]) ).
fof(f3729,plain,
( sQ190_spl
| ~ sQ180_spl
| op(op(e2,e3),e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f2209,f2244]) ).
fof(f3730,plain,
( ~ sQ189_spl
| ~ sQ168_spl
| op(op(e1,e3),e3) = e1 ),
inference(forward_demodulation,[status(thm)],[f2168,f2239]) ).
fof(f3731,plain,
( sQ188_spl
| ~ sQ168_spl
| op(op(e1,e3),e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f2168,f2237]) ).
fof(f3732,plain,
( ~ sQ187_spl
| ~ sQ155_spl
| op(op(e0,e3),e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f2124,f2232]) ).
fof(f3733,plain,
( sQ186_spl
| ~ sQ155_spl
| op(op(e0,e3),e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f2124,f2230]) ).
fof(f3736,plain,
( sQ184_spl
| ~ sQ202_spl
| ~ sQ183_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f3717,f2223]) ).
fof(f3737,plain,
( sQ184_spl
| ~ sQ202_spl
| ~ sQ183_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3736]) ).
fof(f3738,plain,
( sQ184_spl
| ~ sQ202_spl
| ~ sQ183_spl ),
inference(contradiction_clause,[status(thm)],[f3737]) ).
fof(f3739,plain,
( ~ sQ182_spl
| sQ190_spl
| ~ sQ180_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2215,f3729]) ).
fof(f3740,plain,
( ~ sQ182_spl
| sQ190_spl
| ~ sQ180_spl ),
inference(contradiction_clause,[status(thm)],[f3739]) ).
fof(f3744,plain,
( ~ sQ177_spl
| ~ sQ165_spl
| op(op(e1,e2),e2) = e1 ),
inference(forward_demodulation,[status(thm)],[f2158,f2198]) ).
fof(f3745,plain,
( sQ176_spl
| ~ sQ165_spl
| op(op(e1,e2),e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f2158,f2196]) ).
fof(f3746,plain,
( ~ sQ175_spl
| ~ sQ152_spl
| op(op(e0,e2),e2) = e0 ),
inference(forward_demodulation,[status(thm)],[f2114,f2191]) ).
fof(f3748,plain,
( ~ sQ173_spl
| sQ199_spl
| ~ sQ171_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2184,f3720]) ).
fof(f3749,plain,
( ~ sQ173_spl
| sQ199_spl
| ~ sQ171_spl ),
inference(contradiction_clause,[status(thm)],[f3748]) ).
fof(f3750,plain,
( sQ172_spl
| ~ sQ200_spl
| ~ sQ171_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f3719,f2182]) ).
fof(f3751,plain,
( sQ172_spl
| ~ sQ200_spl
| ~ sQ171_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3750]) ).
fof(f3752,plain,
( sQ172_spl
| ~ sQ200_spl
| ~ sQ171_spl ),
inference(contradiction_clause,[status(thm)],[f3751]) ).
fof(f3753,plain,
( ~ sQ170_spl
| sQ188_spl
| ~ sQ168_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2174,f3731]) ).
fof(f3754,plain,
( ~ sQ170_spl
| sQ188_spl
| ~ sQ168_spl ),
inference(contradiction_clause,[status(thm)],[f3753]) ).
fof(f3755,plain,
( sQ169_spl
| ~ sQ189_spl
| ~ sQ168_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f3730,f2172]) ).
fof(f3756,plain,
( sQ169_spl
| ~ sQ189_spl
| ~ sQ168_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3755]) ).
fof(f3757,plain,
( sQ169_spl
| ~ sQ189_spl
| ~ sQ168_spl ),
inference(contradiction_clause,[status(thm)],[f3756]) ).
fof(f3758,plain,
( ~ sQ167_spl
| sQ176_spl
| ~ sQ165_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2164,f3745]) ).
fof(f3759,plain,
( ~ sQ167_spl
| sQ176_spl
| ~ sQ165_spl ),
inference(contradiction_clause,[status(thm)],[f3758]) ).
fof(f3760,plain,
( sQ166_spl
| ~ sQ177_spl
| ~ sQ165_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f3744,f2162]) ).
fof(f3761,plain,
( sQ166_spl
| ~ sQ177_spl
| ~ sQ165_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3760]) ).
fof(f3762,plain,
( sQ166_spl
| ~ sQ177_spl
| ~ sQ165_spl ),
inference(contradiction_clause,[status(thm)],[f3761]) ).
fof(f3763,plain,
( ~ sQ162_spl
| ~ sQ149_spl
| op(op(e0,e1),e1) = e0 ),
inference(forward_demodulation,[status(thm)],[f2104,f2147]) ).
fof(f3767,plain,
( sQ159_spl
| ~ sQ198_spl
| ~ sQ158_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f3721,f2138]) ).
fof(f3768,plain,
( sQ159_spl
| ~ sQ198_spl
| ~ sQ158_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3767]) ).
fof(f3769,plain,
( sQ159_spl
| ~ sQ198_spl
| ~ sQ158_spl ),
inference(contradiction_clause,[status(thm)],[f3768]) ).
fof(f3770,plain,
( ~ sQ157_spl
| sQ186_spl
| ~ sQ155_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2130,f3733]) ).
fof(f3771,plain,
( ~ sQ157_spl
| sQ186_spl
| ~ sQ155_spl ),
inference(contradiction_clause,[status(thm)],[f3770]) ).
fof(f3777,plain,
( sQ153_spl
| ~ sQ175_spl
| ~ sQ152_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f3746,f2118]) ).
fof(f3778,plain,
( sQ153_spl
| ~ sQ175_spl
| ~ sQ152_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3777]) ).
fof(f3779,plain,
( sQ153_spl
| ~ sQ175_spl
| ~ sQ152_spl ),
inference(contradiction_clause,[status(thm)],[f3778]) ).
fof(f3782,plain,
( sQ150_spl
| ~ sQ162_spl
| ~ sQ149_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f3763,f2108]) ).
fof(f3783,plain,
( sQ150_spl
| ~ sQ162_spl
| ~ sQ149_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3782]) ).
fof(f3784,plain,
( sQ150_spl
| ~ sQ162_spl
| ~ sQ149_spl ),
inference(contradiction_clause,[status(thm)],[f3783]) ).
fof(f3785,plain,
( ~ sQ127_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f95,f1939]) ).
fof(f3786,plain,
( ~ sQ127_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3785,f197]) ).
fof(f3787,plain,
~ sQ127_spl,
inference(contradiction_clause,[status(thm)],[f3786]) ).
fof(f3788,plain,
( ~ sQ129_spl
| e0 = e4 ),
inference(forward_demodulation,[status(thm)],[f95,f1945]) ).
fof(f3789,plain,
( ~ sQ129_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3788,f199]) ).
fof(f3790,plain,
~ sQ129_spl,
inference(contradiction_clause,[status(thm)],[f3789]) ).
fof(f3813,plain,
( ~ sQ175_spl
| ~ sQ152_spl
| ~ sQ12_spl
| op(e2,e2) = e0 ),
inference(backward_demodulation,[status(thm)],[f1571,f3746]) ).
fof(f3816,plain,
( ~ sQ12_spl
| e2 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f1571,f153]) ).
fof(f3817,plain,
( ~ sQ12_spl
| op(e0,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f1571,f150]) ).
fof(f3819,plain,
( ~ sQ12_spl
| e2 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f1571,f117]) ).
fof(f3824,plain,
( ~ sQ93_spl
| op(e0,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f1830,f128]) ).
fof(f3825,plain,
( ~ sQ120_spl
| op(e3,e4) != e0 ),
inference(backward_demodulation,[status(thm)],[f1917,f145]) ).
fof(f3830,plain,
( ~ sQ123_spl
| ~ sQ120_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f1917,f1926]) ).
fof(f3831,plain,
( ~ sQ123_spl
| ~ sQ120_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3830,f198]) ).
fof(f3832,plain,
( ~ sQ123_spl
| ~ sQ120_spl ),
inference(contradiction_clause,[status(thm)],[f3831]) ).
fof(f3837,plain,
( ~ sQ122_spl
| ~ sQ121_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f1920,f1923]) ).
fof(f3838,plain,
( ~ sQ122_spl
| ~ sQ121_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3837,f200]) ).
fof(f3839,plain,
( ~ sQ122_spl
| ~ sQ121_spl ),
inference(contradiction_clause,[status(thm)],[f3838]) ).
fof(f3840,plain,
( ~ sQ183_spl
| ~ sQ114_spl
| e4 = op(e2,e4) ),
inference(backward_demodulation,[status(thm)],[f1897,f2219]) ).
fof(f3858,plain,
( ~ sQ29_spl
| ~ sQ26_spl
| e1 = e4 ),
inference(forward_demodulation,[status(thm)],[f1616,f1625]) ).
fof(f3859,plain,
( ~ sQ29_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3858,f202]) ).
fof(f3860,plain,
( ~ sQ29_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f3859]) ).
fof(f3861,plain,
( ~ sQ135_spl
| ~ sQ45_spl
| op(e1,e0) = e4 ),
inference(backward_demodulation,[status(thm)],[f1677,f2022]) ).
fof(f3872,plain,
( ~ sQ44_spl
| ~ sQ40_spl
| e0 = e4 ),
inference(forward_demodulation,[status(thm)],[f1661,f1673]) ).
fof(f3873,plain,
( ~ sQ44_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3872,f199]) ).
fof(f3874,plain,
( ~ sQ44_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f3873]) ).
fof(f3881,plain,
( ~ sQ70_spl
| e0 != op(e3,e4) ),
inference(backward_demodulation,[status(thm)],[f1757,f143]) ).
fof(f3882,plain,
( ~ sQ59_spl
| ~ sQ55_spl
| e0 = e4 ),
inference(forward_demodulation,[status(thm)],[f1709,f1721]) ).
fof(f3883,plain,
( ~ sQ59_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3882,f199]) ).
fof(f3884,plain,
( ~ sQ59_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f3883]) ).
fof(f3885,plain,
( ~ sQ71_spl
| ~ sQ70_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f1757,f1760]) ).
fof(f3886,plain,
( ~ sQ71_spl
| ~ sQ70_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3885,f196]) ).
fof(f3887,plain,
( ~ sQ71_spl
| ~ sQ70_spl ),
inference(contradiction_clause,[status(thm)],[f3886]) ).
fof(f3892,plain,
( ~ sQ139_spl
| ~ sQ95_spl
| op(e3,e0) = e4 ),
inference(backward_demodulation,[status(thm)],[f1837,f2036]) ).
fof(f3909,plain,
( ~ sQ250_spl
| ~ sQ104_spl
| op(e4,e4) = e0 ),
inference(forward_demodulation,[status(thm)],[f1865,f2577]) ).
fof(f3913,plain,
( ~ sQ20_spl
| e0 = e4 ),
inference(forward_demodulation,[status(thm)],[f1597,f3646]) ).
fof(f3914,plain,
( ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3913,f199]) ).
fof(f3915,plain,
~ sQ20_spl,
inference(contradiction_clause,[status(thm)],[f3914]) ).
fof(f3916,plain,
( ~ sQ75_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f1773,f3647]) ).
fof(f3917,plain,
( ~ sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3916,f198]) ).
fof(f3918,plain,
~ sQ75_spl,
inference(contradiction_clause,[status(thm)],[f3917]) ).
fof(f3919,plain,
( ~ sQ15_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f1581,f3648]) ).
fof(f3920,plain,
( ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3919,f198]) ).
fof(f3921,plain,
~ sQ15_spl,
inference(contradiction_clause,[status(thm)],[f3920]) ).
fof(f3922,plain,
( ~ sQ50_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f1693,f3649]) ).
fof(f3923,plain,
( ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3922,f197]) ).
fof(f3924,plain,
~ sQ50_spl,
inference(contradiction_clause,[status(thm)],[f3923]) ).
fof(f3925,plain,
( ~ sQ10_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f1565,f3650]) ).
fof(f3926,plain,
( ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3925,f197]) ).
fof(f3927,plain,
~ sQ10_spl,
inference(contradiction_clause,[status(thm)],[f3926]) ).
fof(f3928,plain,
( ~ sQ25_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f1613,f3651]) ).
fof(f3929,plain,
( ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3928,f196]) ).
fof(f3930,plain,
~ sQ25_spl,
inference(contradiction_clause,[status(thm)],[f3929]) ).
fof(f3967,plain,
( ~ sQ149_spl
| ~ sQ6_spl
| e1 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f1552,f3711]) ).
fof(f3975,plain,
( ~ sQ117_spl
| ~ sQ115_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f1901,f1907]) ).
fof(f3976,plain,
( ~ sQ117_spl
| ~ sQ115_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3975,f197]) ).
fof(f3977,plain,
( ~ sQ117_spl
| ~ sQ115_spl ),
inference(contradiction_clause,[status(thm)],[f3976]) ).
fof(f4018,plain,
( ~ sQ157_spl
| ~ sQ16_spl
| op(e1,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f1584,f2130]) ).
fof(f4037,plain,
( ~ sQ175_spl
| ~ sQ152_spl
| ~ sQ12_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f3813,f1724,f1570,f2113,f2190]) ).
fof(f4039,plain,
( ~ sQ12_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f3817,f1554,f1570]) ).
fof(f4041,plain,
( ~ sQ12_spl
| ~ sQ62_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f1731,f3819]) ).
fof(f4042,plain,
( ~ sQ12_spl
| ~ sQ62_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4041]) ).
fof(f4043,plain,
( ~ sQ12_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f4042]) ).
fof(f4045,plain,
( ~ sQ93_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f3824,f1589,f1829]) ).
fof(f4051,plain,
( ~ sQ123_spl
| ~ sQ250_spl
| ~ sQ104_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f3909,f1926]) ).
fof(f4052,plain,
( ~ sQ123_spl
| ~ sQ250_spl
| ~ sQ104_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4051,f198]) ).
fof(f4053,plain,
( ~ sQ123_spl
| ~ sQ250_spl
| ~ sQ104_spl ),
inference(contradiction_clause,[status(thm)],[f4052]) ).
fof(f4056,plain,
( ~ sQ195_spl
| ~ sQ97_spl
| op(e2,e4) = e3 ),
inference(backward_demodulation,[status(thm)],[f1843,f2260]) ).
fof(f4073,plain,
( ~ sQ97_spl
| ~ sQ96_spl
| e1 = e2 ),
inference(backward_demodulation,[status(thm)],[f1840,f1843]) ).
fof(f4095,plain,
( ~ sQ203_spl
| ~ sQ194_spl
| op(op(e3,e4),e3) = e4 ),
inference(backward_demodulation,[status(thm)],[f2257,f2288]) ).
fof(f4096,plain,
( ~ sQ23_spl
| e3 = e4 ),
inference(forward_demodulation,[status(thm)],[f1606,f3646]) ).
fof(f4097,plain,
( ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4096,f205]) ).
fof(f4098,plain,
~ sQ23_spl,
inference(contradiction_clause,[status(thm)],[f4097]) ).
fof(f4100,plain,
( ~ sQ24_spl
| e4 != op(e1,e4) ),
inference(backward_demodulation,[status(thm)],[f1609,f136]) ).
fof(f4101,plain,
( ~ sQ24_spl
| e4 != op(e2,e4) ),
inference(backward_demodulation,[status(thm)],[f1609,f137]) ).
fof(f4104,plain,
( sQ134_spl
| ~ sQ24_spl
| op(e4,e4) != e0 ),
inference(backward_demodulation,[status(thm)],[f1609,f2019]) ).
fof(f4107,plain,
( ~ sQ268_spl
| op(e3,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f3647,f2678]) ).
fof(f4109,plain,
( ~ sQ52_spl
| ~ sQ51_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f1696,f1699]) ).
fof(f4110,plain,
( ~ sQ52_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4109,f200]) ).
fof(f4111,plain,
( ~ sQ52_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f4110]) ).
fof(f4112,plain,
( ~ sQ77_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f1779,f3647]) ).
fof(f4114,plain,
( ~ sQ187_spl
| ~ sQ155_spl
| op(e3,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f3648,f3732]) ).
fof(f4122,plain,
( ~ sQ284_spl
| op(e2,e2) = e0 ),
inference(forward_demodulation,[status(thm)],[f3649,f2769]) ).
fof(f4131,plain,
( ~ sQ296_spl
| op(e1,e1) = e0 ),
inference(forward_demodulation,[status(thm)],[f3651,f2844]) ).
fof(f4136,plain,
e2 != op(e4,e2),
inference(forward_demodulation,[status(thm)],[f3650,f119]) ).
fof(f4150,plain,
e1 != op(e3,e1),
inference(backward_demodulation,[status(thm)],[f3652,f108]) ).
fof(f4157,plain,
( sQ150_spl
| op(e1,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f3652,f2108]) ).
fof(f4158,plain,
( sQ150_spl
| ~ sQ296_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f4131,f4157]) ).
fof(f4159,plain,
( sQ150_spl
| ~ sQ296_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4158]) ).
fof(f4160,plain,
( sQ150_spl
| ~ sQ296_spl ),
inference(contradiction_clause,[status(thm)],[f4159]) ).
fof(f4164,plain,
e1 != op(e1,e2),
inference(forward_demodulation,[status(thm)],[f3651,f157]) ).
fof(f4177,plain,
( sQ168_spl
| ~ sQ84_spl
| e4 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f1801,f2169]) ).
fof(f4179,plain,
( sQ183_spl
| ~ sQ113_spl
| e3 != op(e2,e4) ),
inference(backward_demodulation,[status(thm)],[f1894,f2220]) ).
fof(f4180,plain,
( ~ sQ202_spl
| ~ sQ113_spl
| op(e3,e4) = e2 ),
inference(backward_demodulation,[status(thm)],[f1894,f2284]) ).
fof(f4181,plain,
( sQ201_spl
| ~ sQ113_spl
| op(e3,e2) != e4 ),
inference(backward_demodulation,[status(thm)],[f1894,f2282]) ).
fof(f4182,plain,
( ~ sQ113_spl
| op(e1,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f1894,f122]) ).
fof(f4185,plain,
( ~ sQ113_spl
| op(e4,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f1894,f190]) ).
fof(f4186,plain,
( ~ sQ113_spl
| e3 != op(e4,e4) ),
inference(backward_demodulation,[status(thm)],[f1894,f194]) ).
fof(f4206,plain,
e2 != op(e4,e0),
inference(forward_demodulation,[status(thm)],[f3649,f104]) ).
fof(f4207,plain,
e1 != op(e4,e0),
inference(forward_demodulation,[status(thm)],[f3651,f102]) ).
fof(f4209,plain,
( sQ158_spl
| ~ sQ24_spl
| op(e4,e0) != e4 ),
inference(forward_demodulation,[status(thm)],[f1609,f2135]) ).
fof(f4211,plain,
( ~ sQ297_spl
| op(e0,e1) = e1 ),
inference(forward_demodulation,[status(thm)],[f3651,f2847]) ).
fof(f4212,plain,
( ~ sQ297_spl
| ~ sQ5_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f1549,f4211]) ).
fof(f4213,plain,
( ~ sQ297_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4212,f196]) ).
fof(f4214,plain,
( ~ sQ297_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f4213]) ).
fof(f4230,plain,
( ~ sQ258_spl
| op(e3,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f3648,f2612]) ).
fof(f4235,plain,
( ~ sQ69_spl
| op(e2,e1) != e4 ),
inference(forward_demodulation,[status(thm)],[f1753,f171]) ).
fof(f4237,plain,
e2 != op(e2,e1),
inference(forward_demodulation,[status(thm)],[f3649,f166]) ).
fof(f4241,plain,
( sQ136_spl
| ~ sQ47_spl
| op(e4,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f1683,f2026]) ).
fof(f4242,plain,
( ~ sQ135_spl
| ~ sQ47_spl
| op(e1,e2) = e4 ),
inference(backward_demodulation,[status(thm)],[f1683,f2022]) ).
fof(f4248,plain,
( sQ175_spl
| op(e2,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f3649,f2192]) ).
fof(f4249,plain,
( sQ175_spl
| ~ sQ284_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f4122,f4248]) ).
fof(f4250,plain,
( sQ175_spl
| ~ sQ284_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4249]) ).
fof(f4251,plain,
( sQ175_spl
| ~ sQ284_spl ),
inference(contradiction_clause,[status(thm)],[f4250]) ).
fof(f4259,plain,
( ~ sQ54_spl
| e2 = e4 ),
inference(forward_demodulation,[status(thm)],[f3649,f1705]) ).
fof(f4260,plain,
( ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4259,f204]) ).
fof(f4261,plain,
~ sQ54_spl,
inference(contradiction_clause,[status(thm)],[f4260]) ).
fof(f4262,plain,
( ~ sQ24_spl
| e4 != op(e4,e4) ),
inference(forward_demodulation,[status(thm)],[f1609,f139]) ).
fof(f4263,plain,
( sQ158_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3645,f4209]) ).
fof(f4264,plain,
( sQ158_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f4263]) ).
fof(f4280,plain,
( sQ12_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f3650,f1572]) ).
fof(f4281,plain,
( sQ12_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4280]) ).
fof(f4282,plain,
sQ12_spl,
inference(contradiction_clause,[status(thm)],[f4281]) ).
fof(f4288,plain,
e3 != op(e2,e3),
inference(forward_demodulation,[status(thm)],[f3648,f127]) ).
fof(f4289,plain,
( ~ sQ68_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f1750,f4288]) ).
fof(f4290,plain,
( ~ sQ68_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4289]) ).
fof(f4291,plain,
~ sQ68_spl,
inference(contradiction_clause,[status(thm)],[f4290]) ).
fof(f4293,plain,
( ~ sQ258_spl
| op(e2,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f4230,f133]) ).
fof(f4296,plain,
e2 != op(e3,e2),
inference(forward_demodulation,[status(thm)],[f3650,f118]) ).
fof(f4297,plain,
( ~ sQ128_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f95,f1942]) ).
fof(f4298,plain,
( ~ sQ128_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4297,f198]) ).
fof(f4299,plain,
~ sQ128_spl,
inference(contradiction_clause,[status(thm)],[f4298]) ).
fof(f4300,plain,
( ~ sQ13_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f3650,f1574]) ).
fof(f4301,plain,
( ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4300,f203]) ).
fof(f4302,plain,
~ sQ13_spl,
inference(contradiction_clause,[status(thm)],[f4301]) ).
fof(f4306,plain,
( ~ sQ53_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f3649,f1702]) ).
fof(f4307,plain,
( ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4306,f203]) ).
fof(f4308,plain,
~ sQ53_spl,
inference(contradiction_clause,[status(thm)],[f4307]) ).
fof(f4309,plain,
( ~ sQ271_spl
| ~ sQ58_spl
| op(e2,e3) = e1 ),
inference(backward_demodulation,[status(thm)],[f1718,f2691]) ).
fof(f4310,plain,
( ~ sQ171_spl
| ~ sQ58_spl
| e3 != op(e1,e4) ),
inference(backward_demodulation,[status(thm)],[f1718,f3673]) ).
fof(f4312,plain,
( ~ sQ58_spl
| e3 != op(e2,e4) ),
inference(backward_demodulation,[status(thm)],[f1718,f172]) ).
fof(f4321,plain,
e3 != op(e1,e3),
inference(forward_demodulation,[status(thm)],[f3648,f126]) ).
fof(f4322,plain,
( ~ sQ43_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f1670,f4321]) ).
fof(f4323,plain,
( ~ sQ43_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4322]) ).
fof(f4324,plain,
~ sQ43_spl,
inference(contradiction_clause,[status(thm)],[f4323]) ).
fof(f4326,plain,
( ~ sQ172_spl
| ~ sQ171_spl
| ~ sQ108_spl
| op(e3,e4) = e1 ),
inference(backward_demodulation,[status(thm)],[f4329,f2181]) ).
fof(f4329,plain,
( ~ sQ171_spl
| ~ sQ108_spl
| e3 = op(e1,e4) ),
inference(forward_demodulation,[status(thm)],[f1878,f2178]) ).
fof(f4332,plain,
e2 != op(e1,e2),
inference(forward_demodulation,[status(thm)],[f3650,f116]) ).
fof(f4335,plain,
( ~ sQ28_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f3651,f1622]) ).
fof(f4336,plain,
( ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4335,f201]) ).
fof(f4337,plain,
~ sQ28_spl,
inference(contradiction_clause,[status(thm)],[f4336]) ).
fof(f4353,plain,
( ~ sQ137_spl
| ~ sQ73_spl
| op(e2,e3) = e4 ),
inference(forward_demodulation,[status(thm)],[f1766,f2029]) ).
fof(f4354,plain,
( ~ sQ171_spl
| ~ sQ108_spl
| e3 != op(e2,e4) ),
inference(forward_demodulation,[status(thm)],[f4329,f140]) ).
fof(f4355,plain,
( ~ sQ171_spl
| ~ sQ108_spl
| ~ sQ73_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f1766,f4354]) ).
fof(f4356,plain,
( ~ sQ171_spl
| ~ sQ108_spl
| ~ sQ73_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4355]) ).
fof(f4357,plain,
( ~ sQ171_spl
| ~ sQ108_spl
| ~ sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f4356]) ).
fof(f4364,plain,
( ~ sQ97_spl
| op(e3,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f1843,f182]) ).
fof(f4365,plain,
( sQ273_spl
| op(e0,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f3650,f2701]) ).
fof(f4366,plain,
( sQ273_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f3650,f4365]) ).
fof(f4367,plain,
( sQ273_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4366]) ).
fof(f4368,plain,
sQ273_spl,
inference(contradiction_clause,[status(thm)],[f4367]) ).
fof(f4370,plain,
( ~ sQ149_spl
| e1 != op(e1,e4) ),
inference(backward_demodulation,[status(thm)],[f4377,f3710]) ).
fof(f4373,plain,
( ~ sQ149_spl
| e1 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f4377,f3713]) ).
fof(f4375,plain,
( ~ sQ150_spl
| ~ sQ149_spl
| op(e1,e1) = e0 ),
inference(backward_demodulation,[status(thm)],[f4377,f2107]) ).
fof(f4376,plain,
( sQ286_spl
| ~ sQ149_spl
| op(e0,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f4377,f2779]) ).
fof(f4377,plain,
( ~ sQ149_spl
| e1 = op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f3651,f2104]) ).
fof(f4379,plain,
( sQ183_spl
| ~ sQ113_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f4179,f1765,f1893,f2218]) ).
fof(f4380,plain,
( sQ201_spl
| ~ sQ113_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f4181,f1816,f1893,f2280]) ).
fof(f4381,plain,
( ~ sQ113_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f4182,f1653,f1893]) ).
fof(f4382,plain,
( ~ sQ113_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f4185,f1877,f1893]) ).
fof(f4383,plain,
( ~ sQ113_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f4186,f1925,f1893]) ).
fof(f4388,plain,
( ~ sQ97_spl
| ~ sQ96_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4073,f200]) ).
fof(f4389,plain,
( ~ sQ97_spl
| ~ sQ96_spl ),
inference(contradiction_clause,[status(thm)],[f4388]) ).
fof(f4398,plain,
e1 != op(e3,e0),
inference(forward_demodulation,[status(thm)],[f3651,f101]) ).
fof(f4400,plain,
( sQ157_spl
| op(e3,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f3648,f2131]) ).
fof(f4408,plain,
( ~ sQ155_spl
| op(e3,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f3648,f2124]) ).
fof(f4409,plain,
( ~ sQ155_spl
| sQ157_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4408,f4400]) ).
fof(f4410,plain,
( ~ sQ155_spl
| sQ157_spl ),
inference(contradiction_clause,[status(thm)],[f4409]) ).
fof(f4419,plain,
( ~ sQ137_spl
| ~ sQ73_spl
| e4 != op(e4,e3) ),
inference(forward_demodulation,[status(thm)],[f4353,f134]) ).
fof(f4420,plain,
( ~ sQ137_spl
| ~ sQ73_spl
| ~ sQ119_spl
| e4 != e4 ),
inference(forward_demodulation,[status(thm)],[f1913,f4419]) ).
fof(f4421,plain,
( ~ sQ137_spl
| ~ sQ73_spl
| ~ sQ119_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4420]) ).
fof(f4422,plain,
( ~ sQ137_spl
| ~ sQ73_spl
| ~ sQ119_spl ),
inference(contradiction_clause,[status(thm)],[f4421]) ).
fof(f4424,plain,
e3 != op(e4,e3),
inference(forward_demodulation,[status(thm)],[f3648,f129]) ).
fof(f4426,plain,
( sQ203_spl
| ~ sQ119_spl
| op(e4,e3) != e4 ),
inference(forward_demodulation,[status(thm)],[f1913,f2289]) ).
fof(f4427,plain,
( sQ203_spl
| ~ sQ119_spl
| e4 != e4 ),
inference(forward_demodulation,[status(thm)],[f1913,f4426]) ).
fof(f4428,plain,
( sQ203_spl
| ~ sQ119_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4427]) ).
fof(f4429,plain,
( sQ203_spl
| ~ sQ119_spl ),
inference(contradiction_clause,[status(thm)],[f4428]) ).
fof(f4430,plain,
( sQ194_spl
| ~ sQ97_spl
| op(e4,e3) != e2 ),
inference(forward_demodulation,[status(thm)],[f1843,f2258]) ).
fof(f4444,plain,
e2 != op(e2,e4),
inference(forward_demodulation,[status(thm)],[f3649,f169]) ).
fof(f4452,plain,
( sQ152_spl
| e2 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f3649,f2115]) ).
fof(f4453,plain,
( sQ152_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f3650,f4452]) ).
fof(f4454,plain,
( sQ152_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4453]) ).
fof(f4455,plain,
sQ152_spl,
inference(contradiction_clause,[status(thm)],[f4454]) ).
fof(f4458,plain,
( ~ sQ126_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f95,f1936]) ).
fof(f4459,plain,
( ~ sQ126_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4458,f196]) ).
fof(f4460,plain,
~ sQ126_spl,
inference(contradiction_clause,[status(thm)],[f4459]) ).
fof(f4462,plain,
( ~ sQ76_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1776,f4398]) ).
fof(f4463,plain,
~ sQ76_spl,
inference(contradiction_clause,[status(thm)],[f4462]) ).
fof(f4464,plain,
( ~ sQ1_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f3653,f1536]) ).
fof(f4465,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4464,f196]) ).
fof(f4466,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f4465]) ).
fof(f4471,plain,
( ~ sQ103_spl
| e3 = e4 ),
inference(forward_demodulation,[status(thm)],[f1862,f3645]) ).
fof(f4472,plain,
( ~ sQ103_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4471,f205]) ).
fof(f4473,plain,
~ sQ103_spl,
inference(contradiction_clause,[status(thm)],[f4472]) ).
fof(f4475,plain,
( ~ sQ158_spl
| e1 != op(e0,e4) ),
inference(forward_demodulation,[status(thm)],[f3651,f3679]) ).
fof(f4478,plain,
( ~ sQ21_spl
| ~ sQ158_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1600,f4475]) ).
fof(f4479,plain,
( ~ sQ21_spl
| ~ sQ158_spl ),
inference(contradiction_clause,[status(thm)],[f4478]) ).
fof(f4480,plain,
( ~ sQ12_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f3816,f1586,f1570]) ).
fof(f4489,plain,
( ~ sQ79_spl
| e4 != op(e4,e0) ),
inference(forward_demodulation,[status(thm)],[f1785,f105]) ).
fof(f4491,plain,
( ~ sQ78_spl
| e3 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f1782,f176]) ).
fof(f4506,plain,
( ~ sQ58_spl
| ~ sQ56_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f1712,f1718]) ).
fof(f4507,plain,
( ~ sQ58_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4506,f201]) ).
fof(f4508,plain,
( ~ sQ58_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f4507]) ).
fof(f4510,plain,
( ~ sQ48_spl
| e3 != op(e4,e4) ),
inference(forward_demodulation,[status(thm)],[f1686,f142]) ).
fof(f4511,plain,
( ~ sQ48_spl
| op(e1,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f1686,f164]) ).
fof(f4514,plain,
( sQ172_spl
| ~ sQ48_spl
| op(e3,e4) != e1 ),
inference(forward_demodulation,[status(thm)],[f1686,f2182]) ).
fof(f4523,plain,
e4 != op(e2,e4),
inference(forward_demodulation,[status(thm)],[f3646,f137]) ).
fof(f4524,plain,
e4 != op(e3,e4),
inference(forward_demodulation,[status(thm)],[f3646,f138]) ).
fof(f4529,plain,
( ~ sQ48_spl
| op(e1,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f1686,f162]) ).
fof(f4532,plain,
( ~ sQ149_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f4373,f1631,f2103]) ).
fof(f4535,plain,
( ~ sQ150_spl
| ~ sQ149_spl
| e0 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f4375,f110]) ).
fof(f4539,plain,
( ~ sQ150_spl
| ~ sQ149_spl
| e0 != op(e4,e1) ),
inference(backward_demodulation,[status(thm)],[f4375,f112]) ).
fof(f4540,plain,
( ~ sQ150_spl
| ~ sQ149_spl
| e0 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f4375,f111]) ).
fof(f4541,plain,
( sQ286_spl
| ~ sQ149_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f4377,f4376]) ).
fof(f4542,plain,
( sQ286_spl
| ~ sQ149_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4541]) ).
fof(f4543,plain,
( sQ286_spl
| ~ sQ149_spl ),
inference(contradiction_clause,[status(thm)],[f4542]) ).
fof(f4550,plain,
( ~ sQ101_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1856,f4207]) ).
fof(f4551,plain,
~ sQ101_spl,
inference(contradiction_clause,[status(thm)],[f4550]) ).
fof(f4555,plain,
( sQ296_spl
| op(e1,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f3651,f2845]) ).
fof(f4556,plain,
( sQ155_spl
| ~ sQ78_spl
| e3 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f1782,f2125]) ).
fof(f4557,plain,
( sQ155_spl
| ~ sQ78_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f3648,f4556]) ).
fof(f4558,plain,
( sQ155_spl
| ~ sQ78_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4557]) ).
fof(f4559,plain,
( sQ155_spl
| ~ sQ78_spl ),
inference(contradiction_clause,[status(thm)],[f4558]) ).
fof(f4564,plain,
( sQ180_spl
| ~ sQ65_spl
| op(e3,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f1741,f2210]) ).
fof(f4566,plain,
( ~ sQ258_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f4293,f1740,f2611]) ).
fof(f4567,plain,
( ~ sQ65_spl
| e0 != op(e2,e4) ),
inference(forward_demodulation,[status(thm)],[f1741,f175]) ).
fof(f4568,plain,
( ~ sQ118_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f1910,f4424]) ).
fof(f4569,plain,
( ~ sQ118_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4568]) ).
fof(f4570,plain,
~ sQ118_spl,
inference(contradiction_clause,[status(thm)],[f4569]) ).
fof(f4573,plain,
( ~ sQ152_spl
| e2 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f3650,f3706]) ).
fof(f4575,plain,
( ~ sQ14_spl
| e2 = e4 ),
inference(forward_demodulation,[status(thm)],[f3650,f1577]) ).
fof(f4576,plain,
( ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4575,f204]) ).
fof(f4577,plain,
~ sQ14_spl,
inference(contradiction_clause,[status(thm)],[f4576]) ).
fof(f4578,plain,
( ~ sQ69_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f4235,f1720,f1752]) ).
fof(f4593,plain,
( ~ sQ39_spl
| e4 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f1657,f121]) ).
fof(f4595,plain,
( sQ168_spl
| ~ sQ84_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f4177,f1672,f1800,f2167]) ).
fof(f4601,plain,
( ~ sQ84_spl
| e4 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f1801,f180]) ).
fof(f4602,plain,
( ~ sQ122_spl
| op(e4,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f1923,f195]) ).
fof(f4610,plain,
( ~ sQ87_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1811,f4296]) ).
fof(f4611,plain,
~ sQ87_spl,
inference(contradiction_clause,[status(thm)],[f4610]) ).
fof(f4622,plain,
( sQ204_spl
| ~ sQ194_spl
| op(op(e3,e4),e4) != e3 ),
inference(forward_demodulation,[status(thm)],[f2257,f2292]) ).
fof(f4625,plain,
( ~ sQ135_spl
| ~ sQ45_spl
| e1 = e4 ),
inference(forward_demodulation,[status(thm)],[f3651,f3861]) ).
fof(f4626,plain,
( ~ sQ135_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4625,f202]) ).
fof(f4627,plain,
( ~ sQ135_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f4626]) ).
fof(f4630,plain,
( ~ sQ183_spl
| ~ sQ114_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3840,f4523]) ).
fof(f4631,plain,
( ~ sQ183_spl
| ~ sQ114_spl ),
inference(contradiction_clause,[status(thm)],[f4630]) ).
fof(f4638,plain,
( sQ136_spl
| ~ sQ47_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f4241,f1887,f1682,f2024]) ).
fof(f4639,plain,
( ~ sQ47_spl
| ~ sQ45_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f1677,f1683]) ).
fof(f4640,plain,
( ~ sQ47_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4639,f197]) ).
fof(f4641,plain,
( ~ sQ47_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f4640]) ).
fof(f4645,plain,
( ~ sQ276_spl
| ~ sQ39_spl
| e1 != op(e3,e4) ),
inference(backward_demodulation,[status(thm)],[f4649,f143]) ).
fof(f4649,plain,
( ~ sQ276_spl
| ~ sQ39_spl
| op(e2,e4) = e1 ),
inference(forward_demodulation,[status(thm)],[f1657,f2710]) ).
fof(f4654,plain,
( ~ sQ139_spl
| ~ sQ97_spl
| op(e3,e2) = e4 ),
inference(backward_demodulation,[status(thm)],[f1843,f2036]) ).
fof(f4656,plain,
( ~ sQ97_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f4364,f1794,f1842]) ).
fof(f4662,plain,
( ~ sQ191_spl
| ~ sQ89_spl
| op(e4,e3) = e2 ),
inference(backward_demodulation,[status(thm)],[f1817,f2246]) ).
fof(f4667,plain,
( ~ sQ276_spl
| ~ sQ39_spl
| op(e2,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f4649,f174]) ).
fof(f4669,plain,
( ~ sQ89_spl
| op(e2,e2) != e4 ),
inference(forward_demodulation,[status(thm)],[f1817,f123]) ).
fof(f4670,plain,
( ~ sQ102_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1859,f4206]) ).
fof(f4671,plain,
~ sQ102_spl,
inference(contradiction_clause,[status(thm)],[f4670]) ).
fof(f4672,plain,
( ~ sQ79_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3645,f4489]) ).
fof(f4673,plain,
~ sQ79_spl,
inference(contradiction_clause,[status(thm)],[f4672]) ).
fof(f4675,plain,
( sQ24_spl
| e4 != e4 ),
inference(forward_demodulation,[status(thm)],[f3646,f1610]) ).
fof(f4676,plain,
( sQ24_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4675]) ).
fof(f4677,plain,
sQ24_spl,
inference(contradiction_clause,[status(thm)],[f4676]) ).
fof(f4693,plain,
( ~ sQ19_spl
| e3 = e4 ),
inference(forward_demodulation,[status(thm)],[f3648,f1593]) ).
fof(f4694,plain,
( ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4693,f205]) ).
fof(f4695,plain,
~ sQ19_spl,
inference(contradiction_clause,[status(thm)],[f4694]) ).
fof(f4699,plain,
( ~ sQ30_spl
| e0 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f1629,f110]) ).
fof(f4700,plain,
( ~ sQ30_spl
| e0 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f1629,f161]) ).
fof(f4701,plain,
( ~ sQ30_spl
| e0 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f1629,f160]) ).
fof(f4712,plain,
( ~ sQ60_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f1725,f173]) ).
fof(f4715,plain,
( ~ sQ39_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f4593,f1816,f1656]) ).
fof(f4717,plain,
( ~ sQ84_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f4601,f1816,f1800]) ).
fof(f4718,plain,
( ~ sQ152_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f4573,f1746,f2113]) ).
fof(f4725,plain,
( sQ149_spl
| e1 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f3651,f2105]) ).
fof(f4726,plain,
( sQ149_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f3652,f4725]) ).
fof(f4727,plain,
( sQ149_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4726]) ).
fof(f4728,plain,
sQ149_spl,
inference(contradiction_clause,[status(thm)],[f4727]) ).
fof(f4729,plain,
( sQ296_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f4555,f1628,f2843]) ).
fof(f4730,plain,
( ~ sQ107_spl
| e2 != op(e4,e3) ),
inference(forward_demodulation,[status(thm)],[f1875,f191]) ).
fof(f4731,plain,
( sQ284_spl
| op(e2,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f3649,f2770]) ).
fof(f4736,plain,
( ~ sQ107_spl
| e2 != op(e4,e4) ),
inference(forward_demodulation,[status(thm)],[f1875,f192]) ).
fof(f4737,plain,
( ~ sQ8_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f3652,f1558]) ).
fof(f4738,plain,
( ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4737,f201]) ).
fof(f4739,plain,
~ sQ8_spl,
inference(contradiction_clause,[status(thm)],[f4738]) ).
fof(f4756,plain,
( sQ26_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f3651,f1617]) ).
fof(f4757,plain,
( sQ26_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4756]) ).
fof(f4758,plain,
sQ26_spl,
inference(contradiction_clause,[status(thm)],[f4757]) ).
fof(f4759,plain,
( ~ sQ24_spl
| ~ sQ74_spl ),
inference(split_clause,[status(thm)],[f4101,f1768,f1608]) ).
fof(f4760,plain,
( sQ134_spl
| ~ sQ24_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f4104,f1916,f1608,f2017]) ).
fof(f4761,plain,
( ~ sQ24_spl
| ~ sQ124_spl ),
inference(split_clause,[status(thm)],[f4262,f1928,f1608]) ).
fof(f4769,plain,
e3 != op(e3,e2),
inference(backward_demodulation,[status(thm)],[f3647,f177]) ).
fof(f4773,plain,
( ~ sQ116_spl
| e1 != op(e4,e4) ),
inference(backward_demodulation,[status(thm)],[f1904,f195]) ).
fof(f4776,plain,
( ~ sQ116_spl
| op(e4,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f1904,f193]) ).
fof(f4780,plain,
( ~ sQ86_spl
| e1 != op(e3,e4) ),
inference(backward_demodulation,[status(thm)],[f1808,f184]) ).
fof(f4793,plain,
( ~ sQ55_spl
| e0 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f1709,f113]) ).
fof(f4794,plain,
( sQ198_spl
| op(e4,e4) != e0 ),
inference(forward_demodulation,[status(thm)],[f3645,f2271]) ).
fof(f4800,plain,
( ~ sQ191_spl
| ~ sQ86_spl
| e2 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f4802,f131]) ).
fof(f4802,plain,
( ~ sQ191_spl
| ~ sQ86_spl
| op(e1,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f1808,f2246]) ).
fof(f4808,plain,
( ~ sQ72_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1763,f4444]) ).
fof(f4809,plain,
~ sQ72_spl,
inference(contradiction_clause,[status(thm)],[f4808]) ).
fof(f4814,plain,
( ~ sQ194_spl
| ~ sQ116_spl
| op(e2,e4) != e1 ),
inference(backward_demodulation,[status(thm)],[f4820,f143]) ).
fof(f4820,plain,
( ~ sQ194_spl
| ~ sQ116_spl
| e1 = op(e3,e4) ),
inference(forward_demodulation,[status(thm)],[f1904,f2257]) ).
fof(f4821,plain,
( sQ204_spl
| ~ sQ194_spl
| ~ sQ116_spl
| op(e1,e4) != e3 ),
inference(forward_demodulation,[status(thm)],[f4820,f4622]) ).
fof(f4828,plain,
( ~ sQ48_spl
| sQ204_spl
| ~ sQ194_spl
| ~ sQ116_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1686,f4821]) ).
fof(f4829,plain,
( ~ sQ48_spl
| sQ204_spl
| ~ sQ194_spl
| ~ sQ116_spl ),
inference(contradiction_clause,[status(thm)],[f4828]) ).
fof(f4833,plain,
( ~ sQ48_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f4511,f1653,f1685]) ).
fof(f4837,plain,
( ~ sQ150_spl
| ~ sQ149_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f4539,f1868,f2103,f2106]) ).
fof(f4838,plain,
( ~ sQ150_spl
| ~ sQ149_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f4540,f1788,f2103,f2106]) ).
fof(f4840,plain,
( ~ sQ150_spl
| ~ sQ149_spl
| e0 != op(e1,e4) ),
inference(backward_demodulation,[status(thm)],[f4375,f162]) ).
fof(f4852,plain,
( ~ sQ238_spl
| ~ sQ85_spl
| op(e3,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f1805,f2498]) ).
fof(f4853,plain,
( ~ sQ78_spl
| ~ sQ238_spl
| ~ sQ85_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f4852,f1782]) ).
fof(f4854,plain,
( ~ sQ78_spl
| ~ sQ238_spl
| ~ sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4853,f203]) ).
fof(f4855,plain,
( ~ sQ78_spl
| ~ sQ238_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f4854]) ).
fof(f4856,plain,
( ~ sQ78_spl
| ~ sQ83_spl ),
inference(split_clause,[status(thm)],[f4491,f1797,f1781]) ).
fof(f4859,plain,
( ~ sQ155_spl
| e3 != op(e3,e4) ),
inference(forward_demodulation,[status(thm)],[f3648,f3694]) ).
fof(f4861,plain,
( sQ187_spl
| ~ sQ155_spl
| op(e3,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f4408,f2233]) ).
fof(f4888,plain,
( ~ sQ121_spl
| op(e4,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f1920,f194]) ).
fof(f4889,plain,
( ~ sQ121_spl
| op(e2,e4) != e1 ),
inference(backward_demodulation,[status(thm)],[f1920,f144]) ).
fof(f4892,plain,
( ~ sQ60_spl
| e0 != op(e4,e2) ),
inference(backward_demodulation,[status(thm)],[f1725,f124]) ).
fof(f4894,plain,
( ~ sQ60_spl
| e0 != op(e2,e4) ),
inference(backward_demodulation,[status(thm)],[f1725,f174]) ).
fof(f4895,plain,
( ~ sQ60_spl
| op(e1,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f1725,f120]) ).
fof(f4896,plain,
( ~ sQ60_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f4712,f1740,f1724]) ).
fof(f4898,plain,
( sQ257_spl
| op(e0,e3) != e3 ),
inference(forward_demodulation,[status(thm)],[f3648,f2610]) ).
fof(f4899,plain,
( sQ257_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f3648,f4898]) ).
fof(f4900,plain,
( sQ257_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4899]) ).
fof(f4901,plain,
sQ257_spl,
inference(contradiction_clause,[status(thm)],[f4900]) ).
fof(f4904,plain,
( ~ sQ30_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f4699,f1708,f1628]) ).
fof(f4905,plain,
( ~ sQ30_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f4700,f1660,f1628]) ).
fof(f4913,plain,
( sQ297_spl
| op(e0,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f3651,f2848]) ).
fof(f4914,plain,
( sQ297_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f3652,f4913]) ).
fof(f4915,plain,
( sQ297_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4914]) ).
fof(f4916,plain,
sQ297_spl,
inference(contradiction_clause,[status(thm)],[f4915]) ).
fof(f4926,plain,
( ~ sQ107_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f4730,f1906,f1874]) ).
fof(f4928,plain,
( sQ165_spl
| ~ sQ58_spl
| e3 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f1718,f2159]) ).
fof(f4929,plain,
( ~ sQ149_spl
| ~ sQ6_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f3967,f1663,f1551,f2103]) ).
fof(f4939,plain,
( ~ sQ150_spl
| ~ sQ149_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f4535,f1708,f2103,f2106]) ).
fof(f4948,plain,
( ~ sQ69_spl
| op(e1,e3) != e4 ),
inference(backward_demodulation,[status(thm)],[f1753,f130]) ).
fof(f4950,plain,
( ~ sQ70_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f3881,f1836,f1756]) ).
fof(f4955,plain,
( ~ sQ96_spl
| sQ172_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1840,f4514]) ).
fof(f4956,plain,
( ~ sQ96_spl
| sQ172_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f4955]) ).
fof(f4961,plain,
( ~ sQ135_spl
| ~ sQ48_spl
| e4 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f4967,f131]) ).
fof(f4967,plain,
( ~ sQ135_spl
| ~ sQ48_spl
| op(e1,e3) = e4 ),
inference(forward_demodulation,[status(thm)],[f1686,f2022]) ).
fof(f4969,plain,
( ~ sQ69_spl
| e4 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f1753,f133]) ).
fof(f4975,plain,
( ~ sQ22_spl
| e2 = e4 ),
inference(backward_demodulation,[status(thm)],[f1603,f3646]) ).
fof(f4976,plain,
( ~ sQ27_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f3651,f1619]) ).
fof(f4977,plain,
( ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4976,f200]) ).
fof(f4978,plain,
~ sQ27_spl,
inference(contradiction_clause,[status(thm)],[f4977]) ).
fof(f4979,plain,
( ~ sQ2_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f3653,f1539]) ).
fof(f4980,plain,
( ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4979,f197]) ).
fof(f4981,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f4980]) ).
fof(f4982,plain,
( ~ sQ48_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f4510,f1925,f1685]) ).
fof(f4988,plain,
( ~ sQ88_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f1814,f4769]) ).
fof(f4989,plain,
( ~ sQ88_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4988]) ).
fof(f4990,plain,
~ sQ88_spl,
inference(contradiction_clause,[status(thm)],[f4989]) ).
fof(f4995,plain,
( ~ sQ115_spl
| e0 != op(e4,e4) ),
inference(backward_demodulation,[status(thm)],[f1901,f195]) ).
fof(f5002,plain,
( ~ sQ42_spl
| op(e1,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f1667,f161]) ).
fof(f5004,plain,
( ~ sQ172_spl
| ~ sQ48_spl
| op(e3,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f5011,f185]) ).
fof(f5005,plain,
( ~ sQ172_spl
| ~ sQ48_spl
| e1 != op(e4,e4) ),
inference(backward_demodulation,[status(thm)],[f5011,f145]) ).
fof(f5007,plain,
( ~ sQ139_spl
| ~ sQ172_spl
| ~ sQ48_spl
| op(e3,e1) = e4 ),
inference(backward_demodulation,[status(thm)],[f5011,f2036]) ).
fof(f5008,plain,
( sQ140_spl
| ~ sQ172_spl
| ~ sQ48_spl
| op(e4,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f5011,f2040]) ).
fof(f5011,plain,
( ~ sQ172_spl
| ~ sQ48_spl
| op(e3,e4) = e1 ),
inference(forward_demodulation,[status(thm)],[f1686,f2181]) ).
fof(f5017,plain,
( ~ sQ171_spl
| ~ sQ58_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f4310,f1685,f1717,f2177]) ).
fof(f5021,plain,
( ~ sQ171_spl
| ~ sQ48_spl
| op(e4,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f1686,f2178]) ).
fof(f5027,plain,
( ~ sQ199_spl
| ~ sQ171_spl
| ~ sQ48_spl
| op(e1,e1) != e4 ),
inference(backward_demodulation,[status(thm)],[f5032,f111]) ).
fof(f5028,plain,
( ~ sQ199_spl
| ~ sQ171_spl
| ~ sQ48_spl
| op(e2,e1) != e4 ),
inference(backward_demodulation,[status(thm)],[f5032,f113]) ).
fof(f5032,plain,
( ~ sQ199_spl
| ~ sQ171_spl
| ~ sQ48_spl
| op(e3,e1) = e4 ),
inference(forward_demodulation,[status(thm)],[f5021,f2274]) ).
fof(f5033,plain,
( ~ sQ69_spl
| ~ sQ66_spl
| e1 = e4 ),
inference(backward_demodulation,[status(thm)],[f1744,f1753]) ).
fof(f5043,plain,
e1 != op(e4,e1),
inference(forward_demodulation,[status(thm)],[f3652,f109]) ).
fof(f5046,plain,
e4 != op(e4,e1),
inference(forward_demodulation,[status(thm)],[f3645,f186]) ).
fof(f5049,plain,
( ~ sQ149_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f4370,f1679,f2103]) ).
fof(f5052,plain,
( ~ sQ60_spl
| ~ sQ70_spl ),
inference(split_clause,[status(thm)],[f4894,f1756,f1724]) ).
fof(f5053,plain,
( ~ sQ60_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f4895,f1644,f1724]) ).
fof(f5054,plain,
( ~ sQ60_spl
| sQ284_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1725,f4731]) ).
fof(f5055,plain,
( ~ sQ60_spl
| sQ284_spl ),
inference(contradiction_clause,[status(thm)],[f5054]) ).
fof(f5070,plain,
( ~ sQ42_spl
| e2 != op(e4,e3) ),
inference(forward_demodulation,[status(thm)],[f1667,f132]) ).
fof(f5074,plain,
( sQ180_spl
| ~ sQ66_spl
| op(e3,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f1744,f2210]) ).
fof(f5076,plain,
( ~ sQ172_spl
| ~ sQ48_spl
| op(e3,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f5011,f184]) ).
fof(f5079,plain,
( ~ sQ115_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f4995,f1916,f1900]) ).
fof(f5081,plain,
( ~ sQ139_spl
| ~ sQ172_spl
| ~ sQ48_spl
| sQ84_spl ),
inference(split_clause,[status(thm)],[f5007,f1800,f1685,f2180,f2035]) ).
fof(f5082,plain,
( sQ140_spl
| ~ sQ172_spl
| ~ sQ48_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f5008,f1877,f1685,f2180,f2038]) ).
fof(f5085,plain,
( ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4975,f204]) ).
fof(f5086,plain,
~ sQ22_spl,
inference(contradiction_clause,[status(thm)],[f5085]) ).
fof(f5087,plain,
( ~ sQ260_spl
| ~ sQ42_spl
| op(e3,e2) = e1 ),
inference(forward_demodulation,[status(thm)],[f1667,f2619]) ).
fof(f5088,plain,
( ~ sQ260_spl
| ~ sQ42_spl
| sQ180_spl
| ~ sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5087,f5074]) ).
fof(f5089,plain,
( ~ sQ260_spl
| ~ sQ42_spl
| sQ180_spl
| ~ sQ66_spl ),
inference(contradiction_clause,[status(thm)],[f5088]) ).
fof(f5090,plain,
( ~ sQ135_spl
| ~ sQ48_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f4961,f1832,f1685,f2021]) ).
fof(f5091,plain,
( ~ sQ135_spl
| ~ sQ48_spl
| ~ sQ42_spl
| e2 = e4 ),
inference(forward_demodulation,[status(thm)],[f1667,f4967]) ).
fof(f5092,plain,
( ~ sQ135_spl
| ~ sQ48_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5091,f204]) ).
fof(f5093,plain,
( ~ sQ135_spl
| ~ sQ48_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f5092]) ).
fof(f5098,plain,
( ~ sQ66_spl
| e1 != op(e2,e4) ),
inference(forward_demodulation,[status(thm)],[f1744,f175]) ).
fof(f5106,plain,
( ~ sQ66_spl
| e1 != op(e4,e3) ),
inference(forward_demodulation,[status(thm)],[f1744,f134]) ).
fof(f5107,plain,
( sQ187_spl
| ~ sQ155_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f4861,f1820,f2123,f2231]) ).
fof(f5108,plain,
( ~ sQ44_spl
| ~ sQ42_spl
| e2 = e4 ),
inference(forward_demodulation,[status(thm)],[f1667,f1673]) ).
fof(f5109,plain,
( ~ sQ44_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5108,f204]) ).
fof(f5110,plain,
( ~ sQ44_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f5109]) ).
fof(f5114,plain,
( ~ sQ120_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f3825,f1836,f1916]) ).
fof(f5117,plain,
( ~ sQ120_spl
| sQ198_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1917,f4794]) ).
fof(f5118,plain,
( ~ sQ120_spl
| sQ198_spl ),
inference(contradiction_clause,[status(thm)],[f5117]) ).
fof(f5119,plain,
( ~ sQ134_spl
| op(e2,e4) != e0 ),
inference(backward_demodulation,[status(thm)],[f5124,f144]) ).
fof(f5121,plain,
( ~ sQ134_spl
| op(e4,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f5124,f194]) ).
fof(f5124,plain,
( ~ sQ134_spl
| op(e4,e4) = e0 ),
inference(forward_demodulation,[status(thm)],[f3646,f2018]) ).
fof(f5126,plain,
( ~ sQ86_spl
| ~ sQ96_spl ),
inference(split_clause,[status(thm)],[f4780,f1839,f1807]) ).
fof(f5131,plain,
( sQ238_spl
| ~ sQ86_spl
| op(e3,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f1808,f2499]) ).
fof(f5135,plain,
( ~ sQ259_spl
| ~ sQ42_spl
| op(e1,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f1667,f2616]) ).
fof(f5136,plain,
( ~ sQ259_spl
| ~ sQ42_spl
| sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5135,f1655]) ).
fof(f5137,plain,
( ~ sQ259_spl
| ~ sQ42_spl
| sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f5136]) ).
fof(f5138,plain,
( ~ sQ48_spl
| ~ sQ47_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f1683,f1686]) ).
fof(f5139,plain,
( ~ sQ94_spl
| e4 != op(e4,e3) ),
inference(forward_demodulation,[status(thm)],[f1833,f135]) ).
fof(f5141,plain,
( sQ135_spl
| ~ sQ47_spl
| op(e1,e2) != e4 ),
inference(forward_demodulation,[status(thm)],[f1683,f2023]) ).
fof(f5144,plain,
( ~ sQ94_spl
| op(e3,e1) != e4 ),
inference(forward_demodulation,[status(thm)],[f1833,f181]) ).
fof(f5155,plain,
( ~ sQ71_spl
| e1 != op(e3,e4) ),
inference(backward_demodulation,[status(thm)],[f1760,f143]) ).
fof(f5159,plain,
( ~ sQ71_spl
| op(e2,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f1760,f174]) ).
fof(f5163,plain,
( ~ sQ268_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f4107,f1820,f2677]) ).
fof(f5180,plain,
( sQ168_spl
| ~ sQ42_spl
| op(e3,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f1667,f2169]) ).
fof(f5181,plain,
( sQ183_spl
| ~ sQ71_spl
| op(e4,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f1760,f2220]) ).
fof(f5182,plain,
( ~ sQ39_spl
| sQ135_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1657,f5141]) ).
fof(f5183,plain,
( ~ sQ39_spl
| sQ135_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f5182]) ).
fof(f5184,plain,
( ~ sQ276_spl
| ~ sQ39_spl
| sQ71_spl ),
inference(split_clause,[status(thm)],[f4649,f1759,f1656,f2709]) ).
fof(f5185,plain,
( ~ sQ276_spl
| ~ sQ39_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f4667,f1727,f1656,f2709]) ).
fof(f5188,plain,
( sQ285_spl
| op(e0,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f3649,f2773]) ).
fof(f5189,plain,
( sQ285_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f3650,f5188]) ).
fof(f5190,plain,
( sQ285_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5189]) ).
fof(f5191,plain,
sQ285_spl,
inference(contradiction_clause,[status(thm)],[f5190]) ).
fof(f5196,plain,
( ~ sQ134_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f5121,f1884,f2017]) ).
fof(f5198,plain,
( ~ sQ61_spl
| e1 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f1728,f173]) ).
fof(f5203,plain,
( ~ sQ61_spl
| op(e2,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f1728,f170]) ).
fof(f5204,plain,
( ~ sQ121_spl
| ~ sQ71_spl ),
inference(split_clause,[status(thm)],[f4889,f1759,f1919]) ).
fof(f5205,plain,
( ~ sQ121_spl
| ~ sQ134_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f5124,f1920]) ).
fof(f5206,plain,
( ~ sQ121_spl
| ~ sQ134_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5205,f196]) ).
fof(f5207,plain,
( ~ sQ121_spl
| ~ sQ134_spl ),
inference(contradiction_clause,[status(thm)],[f5206]) ).
fof(f5210,plain,
( ~ sQ260_spl
| ~ sQ42_spl
| e1 != op(e3,e4) ),
inference(backward_demodulation,[status(thm)],[f5087,f184]) ).
fof(f5213,plain,
( ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1715,f4237]) ).
fof(f5214,plain,
~ sQ57_spl,
inference(contradiction_clause,[status(thm)],[f5213]) ).
fof(f5224,plain,
( ~ sQ61_spl
| e1 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f1728,f123]) ).
fof(f5225,plain,
( ~ sQ61_spl
| ~ sQ260_spl
| ~ sQ42_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f5087,f5224]) ).
fof(f5226,plain,
( ~ sQ61_spl
| ~ sQ260_spl
| ~ sQ42_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5225]) ).
fof(f5227,plain,
( ~ sQ61_spl
| ~ sQ260_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f5226]) ).
fof(f5228,plain,
( sQ135_spl
| ~ sQ48_spl
| op(e1,e3) != e4 ),
inference(forward_demodulation,[status(thm)],[f1686,f2023]) ).
fof(f5231,plain,
( ~ sQ71_spl
| ~ sQ96_spl ),
inference(split_clause,[status(thm)],[f5155,f1839,f1759]) ).
fof(f5232,plain,
( ~ sQ71_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f5159,f1727,f1759]) ).
fof(f5236,plain,
( ~ sQ61_spl
| ~ sQ66_spl ),
inference(split_clause,[status(thm)],[f5198,f1743,f1727]) ).
fof(f5237,plain,
( ~ sQ61_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f5203,f1711,f1727]) ).
fof(f5246,plain,
( ~ sQ63_spl
| ~ sQ61_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f1728,f1734]) ).
fof(f5247,plain,
( ~ sQ63_spl
| ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5246,f201]) ).
fof(f5248,plain,
( ~ sQ63_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f5247]) ).
fof(f5260,plain,
( ~ sQ172_spl
| ~ sQ48_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f5004,f1823,f1685,f2180]) ).
fof(f5265,plain,
( sQ194_spl
| ~ sQ96_spl
| op(e4,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f1840,f2258]) ).
fof(f5266,plain,
( sQ171_spl
| ~ sQ48_spl
| op(e4,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f1686,f2179]) ).
fof(f5267,plain,
( ~ sQ187_spl
| op(e3,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f5272,f183]) ).
fof(f5269,plain,
( ~ sQ187_spl
| e0 != op(e4,e3) ),
inference(backward_demodulation,[status(thm)],[f5272,f135]) ).
fof(f5271,plain,
( ~ sQ187_spl
| op(e2,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f5272,f133]) ).
fof(f5272,plain,
( ~ sQ187_spl
| op(e3,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f3647,f2232]) ).
fof(f5273,plain,
( ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1651,f4332]) ).
fof(f5274,plain,
~ sQ37_spl,
inference(contradiction_clause,[status(thm)],[f5273]) ).
fof(f5275,plain,
( ~ sQ116_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f4776,f1887,f1903]) ).
fof(f5277,plain,
( ~ sQ116_spl
| sQ194_spl
| ~ sQ96_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1904,f5265]) ).
fof(f5278,plain,
( ~ sQ116_spl
| sQ194_spl
| ~ sQ96_spl ),
inference(contradiction_clause,[status(thm)],[f5277]) ).
fof(f5285,plain,
( ~ sQ65_spl
| op(e2,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f1741,f171]) ).
fof(f5289,plain,
( ~ sQ65_spl
| ~ sQ70_spl ),
inference(split_clause,[status(thm)],[f4567,f1756,f1740]) ).
fof(f5291,plain,
( ~ sQ70_spl
| op(e2,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f1757,f172]) ).
fof(f5294,plain,
( ~ sQ85_spl
| op(e3,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f1805,f180]) ).
fof(f5297,plain,
( ~ sQ85_spl
| e0 != op(e4,e2) ),
inference(backward_demodulation,[status(thm)],[f1805,f125]) ).
fof(f5305,plain,
( ~ sQ139_spl
| ~ sQ96_spl
| op(e3,e1) = e4 ),
inference(forward_demodulation,[status(thm)],[f1840,f2036]) ).
fof(f5316,plain,
( ~ sQ30_spl
| e0 != op(e1,e4) ),
inference(forward_demodulation,[status(thm)],[f1629,f162]) ).
fof(f5319,plain,
( ~ sQ24_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f4100,f1688,f1608]) ).
fof(f5323,plain,
( ~ sQ63_spl
| e3 != op(e2,e4) ),
inference(forward_demodulation,[status(thm)],[f1734,f174]) ).
fof(f5330,plain,
( ~ sQ63_spl
| op(e1,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f1734,f120]) ).
fof(f5332,plain,
( ~ sQ63_spl
| e3 != op(e4,e2) ),
inference(forward_demodulation,[status(thm)],[f1734,f124]) ).
fof(f5345,plain,
( sQ168_spl
| ~ sQ42_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f5180,f1794,f1666,f2167]) ).
fof(f5348,plain,
( ~ sQ260_spl
| ~ sQ42_spl
| ~ sQ96_spl ),
inference(split_clause,[status(thm)],[f5210,f1839,f1666,f2618]) ).
fof(f5350,plain,
( ~ sQ260_spl
| ~ sQ42_spl
| sQ86_spl ),
inference(split_clause,[status(thm)],[f5087,f1807,f1666,f2618]) ).
fof(f5359,plain,
( ~ sQ94_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f5139,f1912,f1832]) ).
fof(f5360,plain,
( ~ sQ94_spl
| ~ sQ139_spl
| ~ sQ96_spl
| e4 != e4 ),
inference(forward_demodulation,[status(thm)],[f5305,f5144]) ).
fof(f5361,plain,
( ~ sQ94_spl
| ~ sQ139_spl
| ~ sQ96_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5360]) ).
fof(f5362,plain,
( ~ sQ94_spl
| ~ sQ139_spl
| ~ sQ96_spl ),
inference(contradiction_clause,[status(thm)],[f5361]) ).
fof(f5364,plain,
( ~ sQ69_spl
| ~ sQ65_spl
| e0 = e4 ),
inference(forward_demodulation,[status(thm)],[f1741,f1753]) ).
fof(f5365,plain,
( ~ sQ69_spl
| ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5364,f199]) ).
fof(f5366,plain,
( ~ sQ69_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f5365]) ).
fof(f5367,plain,
( ~ sQ69_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f4969,f1832,f1752]) ).
fof(f5368,plain,
( ~ sQ69_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f4948,f1672,f1752]) ).
fof(f5371,plain,
( ~ sQ109_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1881,f5046]) ).
fof(f5372,plain,
~ sQ109_spl,
inference(contradiction_clause,[status(thm)],[f5371]) ).
fof(f5373,plain,
( ~ sQ32_spl
| ~ sQ30_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f1629,f1635]) ).
fof(f5374,plain,
( ~ sQ32_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5373,f197]) ).
fof(f5375,plain,
( ~ sQ32_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f5374]) ).
fof(f5378,plain,
( ~ sQ66_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f5106,f1903,f1743]) ).
fof(f5381,plain,
( ~ sQ155_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f4859,f1845,f2123]) ).
fof(f5382,plain,
( ~ sQ94_spl
| op(e3,e2) != e4 ),
inference(forward_demodulation,[status(thm)],[f1833,f183]) ).
fof(f5385,plain,
( ~ sQ94_spl
| op(e3,e1) != e4 ),
inference(forward_demodulation,[status(thm)],[f1833,f181]) ).
fof(f5386,plain,
( ~ sQ66_spl
| e1 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f1744,f133]) ).
fof(f5388,plain,
( ~ sQ272_spl
| ~ sQ58_spl
| op(e1,e3) = e2 ),
inference(backward_demodulation,[status(thm)],[f1718,f2694]) ).
fof(f5389,plain,
( sQ271_spl
| ~ sQ58_spl
| op(e2,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f1718,f2692]) ).
fof(f5396,plain,
( sQ165_spl
| ~ sQ58_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f4928,f1653,f1717,f2157]) ).
fof(f5398,plain,
( ~ sQ58_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f4312,f1765,f1717]) ).
fof(f5399,plain,
( ~ sQ116_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f4773,f1919,f1903]) ).
fof(f5412,plain,
( ~ sQ94_spl
| op(e1,e3) != e4 ),
inference(forward_demodulation,[status(thm)],[f1833,f131]) ).
fof(f5416,plain,
( ~ sQ58_spl
| e3 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f1718,f170]) ).
fof(f5421,plain,
( ~ sQ82_spl
| e2 != op(e4,e1) ),
inference(backward_demodulation,[status(thm)],[f1795,f115]) ).
fof(f5424,plain,
( sQ172_spl
| ~ sQ47_spl
| op(e2,e4) != e1 ),
inference(backward_demodulation,[status(thm)],[f1683,f2182]) ).
fof(f5425,plain,
( ~ sQ47_spl
| op(e1,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f1683,f165]) ).
fof(f5432,plain,
( sQ171_spl
| ~ sQ47_spl
| op(e4,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f1683,f2179]) ).
fof(f5433,plain,
( ~ sQ59_spl
| ~ sQ58_spl
| e3 = e4 ),
inference(forward_demodulation,[status(thm)],[f1718,f1721]) ).
fof(f5434,plain,
( ~ sQ59_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5433,f205]) ).
fof(f5435,plain,
( ~ sQ59_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f5434]) ).
fof(f5448,plain,
( ~ sQ168_spl
| ~ sQ82_spl
| e2 = op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f1795,f2168]) ).
fof(f5451,plain,
( ~ sQ188_spl
| ~ sQ82_spl
| op(e2,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f1795,f2236]) ).
fof(f5458,plain,
( sQ238_spl
| ~ sQ86_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f5131,f1794,f1807,f2497]) ).
fof(f5488,plain,
( sQ180_spl
| ~ sQ65_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f4564,f1804,f1740,f2208]) ).
fof(f5496,plain,
( sQ260_spl
| ~ sQ168_spl
| ~ sQ82_spl
| op(e3,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f5448,f2620]) ).
fof(f5497,plain,
( sQ260_spl
| ~ sQ168_spl
| ~ sQ82_spl
| ~ sQ86_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f1808,f5496]) ).
fof(f5498,plain,
( sQ260_spl
| ~ sQ168_spl
| ~ sQ82_spl
| ~ sQ86_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5497]) ).
fof(f5499,plain,
( sQ260_spl
| ~ sQ168_spl
| ~ sQ82_spl
| ~ sQ86_spl ),
inference(contradiction_clause,[status(thm)],[f5498]) ).
fof(f5506,plain,
( ~ sQ241_spl
| ~ sQ65_spl
| op(e2,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f1741,f2511]) ).
fof(f5507,plain,
( ~ sQ241_spl
| ~ sQ65_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f3649,f5506]) ).
fof(f5508,plain,
( ~ sQ241_spl
| ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5507,f203]) ).
fof(f5509,plain,
( ~ sQ241_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f5508]) ).
fof(f5511,plain,
( ~ sQ82_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f5421,f1874,f1794]) ).
fof(f5512,plain,
( sQ172_spl
| ~ sQ47_spl
| ~ sQ71_spl ),
inference(split_clause,[status(thm)],[f5424,f1759,f1682,f2180]) ).
fof(f5513,plain,
( ~ sQ47_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f5425,f1666,f1682]) ).
fof(f5515,plain,
( sQ171_spl
| ~ sQ47_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f5432,f1874,f1682,f2177]) ).
fof(f5522,plain,
( ~ sQ59_spl
| ~ sQ188_spl
| ~ sQ82_spl
| e3 = e4 ),
inference(forward_demodulation,[status(thm)],[f5451,f1721]) ).
fof(f5523,plain,
( ~ sQ59_spl
| ~ sQ188_spl
| ~ sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5522,f205]) ).
fof(f5524,plain,
( ~ sQ59_spl
| ~ sQ188_spl
| ~ sQ82_spl ),
inference(contradiction_clause,[status(thm)],[f5523]) ).
fof(f5540,plain,
( ~ sQ188_spl
| ~ sQ82_spl
| e3 != op(e2,e4) ),
inference(forward_demodulation,[status(thm)],[f5451,f172]) ).
fof(f5541,plain,
( ~ sQ33_spl
| ~ sQ30_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f1629,f1638]) ).
fof(f5542,plain,
( ~ sQ33_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5541,f198]) ).
fof(f5543,plain,
( ~ sQ33_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f5542]) ).
fof(f5544,plain,
( ~ sQ187_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f5267,f1804,f2231]) ).
fof(f5545,plain,
( ~ sQ187_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f5269,f1900,f2231]) ).
fof(f5546,plain,
( ~ sQ187_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f5272,f1820,f2231]) ).
fof(f5549,plain,
( sQ191_spl
| ~ sQ180_spl
| op(op(e2,e3),e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f2209,f2247]) ).
fof(f5558,plain,
( ~ sQ241_spl
| ~ sQ66_spl
| op(e2,e1) = e3 ),
inference(backward_demodulation,[status(thm)],[f1744,f2511]) ).
fof(f5563,plain,
( ~ sQ180_spl
| ~ sQ66_spl
| op(e3,e2) = e1 ),
inference(backward_demodulation,[status(thm)],[f1744,f2209]) ).
fof(f5570,plain,
( ~ sQ66_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f5386,f1823,f1743]) ).
fof(f5580,plain,
( ~ sQ113_spl
| op(e2,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f1894,f124]) ).
fof(f5587,plain,
( ~ sQ272_spl
| ~ sQ58_spl
| e2 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f5388,f131]) ).
fof(f5588,plain,
( sQ271_spl
| ~ sQ58_spl
| ~ sQ66_spl ),
inference(split_clause,[status(thm)],[f5389,f1743,f1717,f2690]) ).
fof(f5598,plain,
( ~ sQ70_spl
| e0 != op(e4,e4) ),
inference(backward_demodulation,[status(thm)],[f1757,f144]) ).
fof(f5600,plain,
( ~ sQ121_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f4888,f1887,f1919]) ).
fof(f5625,plain,
( ~ sQ58_spl
| e3 != op(e4,e1) ),
inference(forward_demodulation,[status(thm)],[f1718,f114]) ).
fof(f5634,plain,
( ~ sQ168_spl
| ~ sQ42_spl
| e2 != op(e3,e4) ),
inference(forward_demodulation,[status(thm)],[f1667,f3688]) ).
fof(f5637,plain,
( ~ sQ169_spl
| ~ sQ42_spl
| op(e2,e3) = e1 ),
inference(forward_demodulation,[status(thm)],[f1667,f2171]) ).
fof(f5638,plain,
( sQ259_spl
| ~ sQ42_spl
| op(e1,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f1667,f2617]) ).
fof(f5644,plain,
( sQ260_spl
| ~ sQ42_spl
| op(e3,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f1667,f2620]) ).
fof(f5646,plain,
( ~ sQ168_spl
| ~ sQ42_spl
| op(e3,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f1667,f2168]) ).
fof(f5663,plain,
( sQ191_spl
| ~ sQ180_spl
| ~ sQ66_spl
| op(e1,e3) != e2 ),
inference(forward_demodulation,[status(thm)],[f1744,f5549]) ).
fof(f5664,plain,
( sQ191_spl
| ~ sQ180_spl
| ~ sQ66_spl
| ~ sQ42_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f1667,f5663]) ).
fof(f5665,plain,
( sQ191_spl
| ~ sQ180_spl
| ~ sQ66_spl
| ~ sQ42_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5664]) ).
fof(f5666,plain,
( sQ191_spl
| ~ sQ180_spl
| ~ sQ66_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f5665]) ).
fof(f5670,plain,
( ~ sQ70_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f5598,f1916,f1756]) ).
fof(f5677,plain,
( ~ sQ82_spl
| e2 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f1795,f181]) ).
fof(f5685,plain,
( sQ139_spl
| ~ sQ96_spl
| op(e3,e1) != e4 ),
inference(backward_demodulation,[status(thm)],[f1840,f2037]) ).
fof(f5697,plain,
( ~ sQ111_spl
| op(e2,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f1888,f124]) ).
fof(f5698,plain,
( ~ sQ58_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f5416,f1733,f1717]) ).
fof(f5700,plain,
( ~ sQ96_spl
| e1 != op(e4,e4) ),
inference(forward_demodulation,[status(thm)],[f1840,f145]) ).
fof(f5716,plain,
( ~ sQ134_spl
| ~ sQ70_spl ),
inference(split_clause,[status(thm)],[f5119,f1756,f2017]) ).
fof(f5718,plain,
( ~ sQ69_spl
| ~ sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5033,f202]) ).
fof(f5719,plain,
( ~ sQ69_spl
| ~ sQ66_spl ),
inference(contradiction_clause,[status(thm)],[f5718]) ).
fof(f5720,plain,
( ~ sQ203_spl
| ~ sQ194_spl
| ~ sQ96_spl
| op(e1,e3) = e4 ),
inference(forward_demodulation,[status(thm)],[f1840,f4095]) ).
fof(f5721,plain,
( ~ sQ194_spl
| ~ sQ66_spl
| e1 != op(e3,e4) ),
inference(forward_demodulation,[status(thm)],[f1744,f3660]) ).
fof(f5722,plain,
( ~ sQ194_spl
| ~ sQ66_spl
| ~ sQ96_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f1840,f5721]) ).
fof(f5723,plain,
( ~ sQ194_spl
| ~ sQ66_spl
| ~ sQ96_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5722]) ).
fof(f5724,plain,
( ~ sQ194_spl
| ~ sQ66_spl
| ~ sQ96_spl ),
inference(contradiction_clause,[status(thm)],[f5723]) ).
fof(f5733,plain,
( ~ sQ89_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f4669,f1736,f1816]) ).
fof(f5734,plain,
( ~ sQ35_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1645,f4701]) ).
fof(f5735,plain,
( ~ sQ35_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f5734]) ).
fof(f5738,plain,
( ~ sQ176_spl
| ~ sQ58_spl
| op(e3,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f1718,f2195]) ).
fof(f5744,plain,
( ~ sQ82_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f5677,f1826,f1794]) ).
fof(f5763,plain,
( ~ sQ123_spl
| op(e4,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f1926,f192]) ).
fof(f5772,plain,
( ~ sQ44_spl
| e4 != op(e4,e3) ),
inference(backward_demodulation,[status(thm)],[f1673,f132]) ).
fof(f5783,plain,
( ~ sQ165_spl
| ~ sQ70_spl
| op(e1,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f1757,f3699]) ).
fof(f5791,plain,
( ~ sQ165_spl
| ~ sQ58_spl
| e3 = op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f1718,f2158]) ).
fof(f5796,plain,
( ~ sQ106_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1872,f5043]) ).
fof(f5797,plain,
~ sQ106_spl,
inference(contradiction_clause,[status(thm)],[f5796]) ).
fof(f5801,plain,
( ~ sQ136_spl
| ~ sQ47_spl
| op(e4,e2) = e1 ),
inference(forward_demodulation,[status(thm)],[f1683,f2025]) ).
fof(f5805,plain,
( sQ177_spl
| ~ sQ58_spl
| op(e3,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f1718,f2199]) ).
fof(f5828,plain,
( ~ sQ204_spl
| ~ sQ115_spl
| op(e0,e4) = e3 ),
inference(backward_demodulation,[status(thm)],[f1901,f2291]) ).
fof(f5832,plain,
( ~ sQ115_spl
| op(e4,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f1901,f191]) ).
fof(f5835,plain,
( ~ sQ135_spl
| ~ sQ47_spl
| ~ sQ165_spl
| ~ sQ58_spl
| e3 = e4 ),
inference(forward_demodulation,[status(thm)],[f5791,f4242]) ).
fof(f5836,plain,
( ~ sQ135_spl
| ~ sQ47_spl
| ~ sQ165_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5835,f205]) ).
fof(f5837,plain,
( ~ sQ135_spl
| ~ sQ47_spl
| ~ sQ165_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f5836]) ).
fof(f5855,plain,
( ~ sQ176_spl
| ~ sQ58_spl
| sQ82_spl ),
inference(split_clause,[status(thm)],[f5738,f1794,f1717,f2194]) ).
fof(f5860,plain,
( ~ sQ77_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4112,f203]) ).
fof(f5861,plain,
~ sQ77_spl,
inference(contradiction_clause,[status(thm)],[f5860]) ).
fof(f5868,plain,
( sQ260_spl
| ~ sQ44_spl
| op(e3,e4) != e1 ),
inference(forward_demodulation,[status(thm)],[f1673,f2620]) ).
fof(f5869,plain,
( sQ260_spl
| ~ sQ44_spl
| ~ sQ96_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f1840,f5868]) ).
fof(f5870,plain,
( sQ260_spl
| ~ sQ44_spl
| ~ sQ96_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5869]) ).
fof(f5871,plain,
( sQ260_spl
| ~ sQ44_spl
| ~ sQ96_spl ),
inference(contradiction_clause,[status(thm)],[f5870]) ).
fof(f5883,plain,
( ~ sQ172_spl
| ~ sQ47_spl
| op(e2,e4) = e1 ),
inference(forward_demodulation,[status(thm)],[f1683,f2181]) ).
fof(f5889,plain,
( ~ sQ34_spl
| ~ sQ30_spl
| e0 = e4 ),
inference(forward_demodulation,[status(thm)],[f1629,f1641]) ).
fof(f5890,plain,
( ~ sQ34_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5889,f199]) ).
fof(f5891,plain,
( ~ sQ34_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f5890]) ).
fof(f5898,plain,
( ~ sQ259_spl
| ~ sQ44_spl
| op(e1,e4) = e3 ),
inference(forward_demodulation,[status(thm)],[f1673,f2616]) ).
fof(f5899,plain,
( ~ sQ259_spl
| ~ sQ44_spl
| ~ sQ47_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f1683,f5898]) ).
fof(f5900,plain,
( ~ sQ259_spl
| ~ sQ44_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5899,f203]) ).
fof(f5901,plain,
( ~ sQ259_spl
| ~ sQ44_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f5900]) ).
fof(f5902,plain,
( ~ sQ260_spl
| ~ sQ44_spl
| op(e3,e4) = e1 ),
inference(forward_demodulation,[status(thm)],[f1673,f2619]) ).
fof(f5913,plain,
( ~ sQ123_spl
| ~ sQ121_spl
| e1 = e3 ),
inference(backward_demodulation,[status(thm)],[f1920,f1926]) ).
fof(f5915,plain,
( sQ177_spl
| ~ sQ58_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f5805,f1807,f1717,f2197]) ).
fof(f5919,plain,
( sQ180_spl
| ~ sQ66_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f5074,f1807,f1743,f2208]) ).
fof(f5933,plain,
( ~ sQ58_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f5625,f1877,f1717]) ).
fof(f5935,plain,
( ~ sQ187_spl
| ~ sQ155_spl
| e0 != op(e3,e4) ),
inference(backward_demodulation,[status(thm)],[f4114,f185]) ).
fof(f5940,plain,
( sQ190_spl
| ~ sQ86_spl
| op(e1,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f1808,f2244]) ).
fof(f5948,plain,
( ~ sQ238_spl
| ~ sQ86_spl
| op(e3,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f1808,f2498]) ).
fof(f5970,plain,
( ~ sQ44_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f5772,f1912,f1672]) ).
fof(f5983,plain,
( ~ sQ99_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1849,f4524]) ).
fof(f5984,plain,
~ sQ99_spl,
inference(contradiction_clause,[status(thm)],[f5983]) ).
fof(f6004,plain,
( ~ sQ107_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f4736,f1922,f1874]) ).
fof(f6016,plain,
( ~ sQ177_spl
| ~ sQ58_spl
| op(e3,e2) = e1 ),
inference(forward_demodulation,[status(thm)],[f1718,f2198]) ).
fof(f6018,plain,
( ~ sQ201_spl
| ~ sQ113_spl
| op(e3,e2) = e4 ),
inference(forward_demodulation,[status(thm)],[f1894,f2281]) ).
fof(f6019,plain,
( ~ sQ201_spl
| ~ sQ113_spl
| ~ sQ86_spl
| e1 = e4 ),
inference(forward_demodulation,[status(thm)],[f1808,f6018]) ).
fof(f6020,plain,
( ~ sQ201_spl
| ~ sQ113_spl
| ~ sQ86_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6019,f202]) ).
fof(f6021,plain,
( ~ sQ201_spl
| ~ sQ113_spl
| ~ sQ86_spl ),
inference(contradiction_clause,[status(thm)],[f6020]) ).
fof(f6033,plain,
( ~ sQ190_spl
| ~ sQ86_spl
| op(e1,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f6034,f160]) ).
fof(f6034,plain,
( ~ sQ190_spl
| ~ sQ86_spl
| op(e1,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f1808,f2243]) ).
fof(f6035,plain,
( sQ191_spl
| ~ sQ86_spl
| op(e1,e3) != e2 ),
inference(forward_demodulation,[status(thm)],[f1808,f2247]) ).
fof(f6038,plain,
( ~ sQ183_spl
| ~ sQ86_spl
| e1 != op(e2,e4) ),
inference(forward_demodulation,[status(thm)],[f1808,f3666]) ).
fof(f6045,plain,
( ~ sQ42_spl
| sQ191_spl
| ~ sQ86_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1667,f6035]) ).
fof(f6046,plain,
( ~ sQ42_spl
| sQ191_spl
| ~ sQ86_spl ),
inference(contradiction_clause,[status(thm)],[f6045]) ).
fof(f6047,plain,
( sQ259_spl
| ~ sQ42_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f5638,f1653,f1666,f2615]) ).
fof(f6056,plain,
( ~ sQ30_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f5316,f1676,f1628]) ).
fof(f6063,plain,
( sQ203_spl
| ~ sQ116_spl
| op(e1,e3) != e4 ),
inference(backward_demodulation,[status(thm)],[f1904,f2289]) ).
fof(f6070,plain,
( ~ sQ60_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f4892,f1884,f1724]) ).
fof(f6073,plain,
( ~ sQ39_spl
| e4 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f1657,f163]) ).
fof(f6096,plain,
( ~ sQ60_spl
| e0 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f1725,f123]) ).
fof(f6104,plain,
( ~ sQ187_spl
| ~ sQ155_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f5935,f1836,f2123,f2231]) ).
fof(f6112,plain,
( ~ sQ150_spl
| ~ sQ149_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f4840,f1676,f2103,f2106]) ).
fof(f6118,plain,
( ~ sQ71_spl
| ~ sQ183_spl
| ~ sQ86_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1760,f6038]) ).
fof(f6119,plain,
( ~ sQ71_spl
| ~ sQ183_spl
| ~ sQ86_spl ),
inference(contradiction_clause,[status(thm)],[f6118]) ).
fof(f6124,plain,
( ~ sQ95_spl
| op(e1,e4) != e0 ),
inference(forward_demodulation,[status(thm)],[f1837,f141]) ).
fof(f6139,plain,
( ~ sQ191_spl
| ~ sQ86_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f4800,f1826,f1807,f2245]) ).
fof(f6140,plain,
( ~ sQ191_spl
| ~ sQ86_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f4802,f1666,f1807,f2245]) ).
fof(f6142,plain,
( ~ sQ238_spl
| ~ sQ86_spl
| sQ82_spl ),
inference(split_clause,[status(thm)],[f5948,f1794,f1807,f2497]) ).
fof(f6148,plain,
( ~ sQ157_spl
| ~ sQ16_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f4018,f1621,f1583,f2129]) ).
fof(f6152,plain,
( ~ sQ39_spl
| op(e1,e1) != e4 ),
inference(forward_demodulation,[status(thm)],[f1657,f160]) ).
fof(f6155,plain,
( ~ sQ39_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f6073,f1672,f1656]) ).
fof(f6159,plain,
( ~ sQ171_spl
| ~ sQ48_spl
| op(e2,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f1686,f3673]) ).
fof(f6163,plain,
( ~ sQ48_spl
| e3 != op(e2,e4) ),
inference(backward_demodulation,[status(thm)],[f1686,f140]) ).
fof(f6164,plain,
( ~ sQ48_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f4529,f1637,f1685]) ).
fof(f6166,plain,
( ~ sQ199_spl
| ~ sQ171_spl
| ~ sQ48_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f5027,f1640,f1685,f2177,f2273]) ).
fof(f6167,plain,
( ~ sQ199_spl
| ~ sQ171_spl
| ~ sQ48_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f5028,f1720,f1685,f2177,f2273]) ).
fof(f6175,plain,
( ~ sQ113_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f5580,f1733,f1893]) ).
fof(f6180,plain,
( sQ165_spl
| ~ sQ59_spl
| e4 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f1721,f2159]) ).
fof(f6189,plain,
( ~ sQ59_spl
| op(e1,e1) != e4 ),
inference(backward_demodulation,[status(thm)],[f1721,f110]) ).
fof(f6191,plain,
( ~ sQ272_spl
| ~ sQ59_spl
| op(e1,e4) = e2 ),
inference(backward_demodulation,[status(thm)],[f1721,f2694]) ).
fof(f6210,plain,
( ~ sQ115_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f5832,f1868,f1900]) ).
fof(f6235,plain,
( sQ195_spl
| ~ sQ172_spl
| ~ sQ48_spl
| op(e1,e4) != e3 ),
inference(forward_demodulation,[status(thm)],[f5011,f2261]) ).
fof(f6236,plain,
( sQ195_spl
| ~ sQ172_spl
| ~ sQ48_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f1686,f6235]) ).
fof(f6237,plain,
( sQ195_spl
| ~ sQ172_spl
| ~ sQ48_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6236]) ).
fof(f6238,plain,
( sQ195_spl
| ~ sQ172_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f6237]) ).
fof(f6241,plain,
( ~ sQ66_spl
| e1 != op(e2,e4) ),
inference(backward_demodulation,[status(thm)],[f1744,f175]) ).
fof(f6247,plain,
( ~ sQ96_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f5700,f1919,f1839]) ).
fof(f6249,plain,
( ~ sQ94_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f5412,f1672,f1832]) ).
fof(f6255,plain,
( ~ sQ94_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f5382,f1816,f1832]) ).
fof(f6270,plain,
( sQ135_spl
| ~ sQ48_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f5228,f1672,f1685,f2021]) ).
fof(f6281,plain,
( ~ sQ63_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f5323,f1765,f1733]) ).
fof(f6293,plain,
( ~ sQ85_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f5297,f1884,f1804]) ).
fof(f6301,plain,
( ~ sQ48_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f6163,f1765,f1685]) ).
fof(f6305,plain,
( ~ sQ48_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5138,f203]) ).
fof(f6306,plain,
( ~ sQ48_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f6305]) ).
fof(f6308,plain,
( ~ sQ59_spl
| e4 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f1721,f113]) ).
fof(f6313,plain,
( sQ171_spl
| ~ sQ48_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f5266,f1877,f1685,f2177]) ).
fof(f6316,plain,
( ~ sQ95_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f6124,f1676,f1836]) ).
fof(f6327,plain,
( ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1648,f4164]) ).
fof(f6328,plain,
~ sQ36_spl,
inference(contradiction_clause,[status(thm)],[f6327]) ).
fof(f6329,plain,
( ~ sQ66_spl
| ~ sQ71_spl ),
inference(split_clause,[status(thm)],[f6241,f1759,f1743]) ).
fof(f6339,plain,
( ~ sQ42_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f5002,f1634,f1666]) ).
fof(f6341,plain,
( ~ sQ42_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f5070,f1906,f1666]) ).
fof(f6347,plain,
( ~ sQ63_spl
| ~ sQ60_spl
| e0 = e3 ),
inference(backward_demodulation,[status(thm)],[f1725,f1734]) ).
fof(f6348,plain,
( ~ sQ60_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f6096,f1804,f1724]) ).
fof(f6350,plain,
( sQ165_spl
| ~ sQ59_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f6180,f1656,f1720,f2157]) ).
fof(f6362,plain,
( ~ sQ39_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f6152,f1640,f1656]) ).
fof(f6365,plain,
( sQ184_spl
| ~ sQ71_spl
| op(e1,e4) != e2 ),
inference(backward_demodulation,[status(thm)],[f1760,f2223]) ).
fof(f6373,plain,
( sQ183_spl
| ~ sQ71_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f5181,f1887,f1759,f2218]) ).
fof(f6374,plain,
( ~ sQ34_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1641,f6189]) ).
fof(f6375,plain,
( ~ sQ34_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f6374]) ).
fof(f6379,plain,
( ~ sQ241_spl
| ~ sQ66_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f5558,f1717,f1743,f2510]) ).
fof(f6380,plain,
( ~ sQ241_spl
| ~ sQ66_spl
| op(e2,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f1744,f2511]) ).
fof(f6391,plain,
( sQ199_spl
| ~ sQ108_spl
| op(e3,e1) != e4 ),
inference(backward_demodulation,[status(thm)],[f1878,f2275]) ).
fof(f6395,plain,
( ~ sQ108_spl
| e3 != op(e4,e4) ),
inference(backward_demodulation,[status(thm)],[f1878,f192]) ).
fof(f6398,plain,
( ~ sQ171_spl
| ~ sQ48_spl
| ~ sQ241_spl
| ~ sQ66_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f6380,f6159]) ).
fof(f6399,plain,
( ~ sQ171_spl
| ~ sQ48_spl
| ~ sQ241_spl
| ~ sQ66_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6398]) ).
fof(f6400,plain,
( ~ sQ171_spl
| ~ sQ48_spl
| ~ sQ241_spl
| ~ sQ66_spl ),
inference(contradiction_clause,[status(thm)],[f6399]) ).
fof(f6402,plain,
( ~ sQ172_spl
| ~ sQ171_spl
| ~ sQ108_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f4326,f1839,f1877,f2177,f2180]) ).
fof(f6406,plain,
( ~ sQ172_spl
| ~ sQ48_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f5005,f1919,f1685,f2180]) ).
fof(f6407,plain,
( ~ sQ172_spl
| ~ sQ48_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f5011,f1839,f1685,f2180]) ).
fof(f6409,plain,
( ~ sQ172_spl
| ~ sQ48_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f5076,f1807,f1685,f2180]) ).
fof(f6415,plain,
( ~ sQ194_spl
| ~ sQ42_spl
| e2 != op(e3,e4) ),
inference(forward_demodulation,[status(thm)],[f1667,f3661]) ).
fof(f6416,plain,
( ~ sQ194_spl
| ~ sQ42_spl
| ~ sQ97_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f1843,f6415]) ).
fof(f6417,plain,
( ~ sQ194_spl
| ~ sQ42_spl
| ~ sQ97_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6416]) ).
fof(f6418,plain,
( ~ sQ194_spl
| ~ sQ42_spl
| ~ sQ97_spl ),
inference(contradiction_clause,[status(thm)],[f6417]) ).
fof(f6433,plain,
( ~ sQ140_spl
| ~ sQ97_spl
| op(e4,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f1843,f2039]) ).
fof(f6434,plain,
( ~ sQ140_spl
| ~ sQ97_spl
| ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6433,f5332]) ).
fof(f6435,plain,
( ~ sQ140_spl
| ~ sQ97_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f6434]) ).
fof(f6436,plain,
( ~ sQ81_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1792,f4150]) ).
fof(f6437,plain,
~ sQ81_spl,
inference(contradiction_clause,[status(thm)],[f6436]) ).
fof(f6442,plain,
( ~ sQ86_spl
| ~ sQ85_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f1805,f1808]) ).
fof(f6443,plain,
( ~ sQ86_spl
| ~ sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6442,f196]) ).
fof(f6444,plain,
( ~ sQ86_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f6443]) ).
fof(f6455,plain,
( ~ sQ94_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f5385,f1800,f1832]) ).
fof(f6481,plain,
( ~ sQ204_spl
| ~ sQ115_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f5828,f1605,f1900,f2290]) ).
fof(f6483,plain,
( sQ276_spl
| ~ sQ39_spl
| op(e2,e4) != e1 ),
inference(forward_demodulation,[status(thm)],[f1657,f2711]) ).
fof(f6503,plain,
( ~ sQ112_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1891,f4136]) ).
fof(f6504,plain,
~ sQ112_spl,
inference(contradiction_clause,[status(thm)],[f6503]) ).
fof(f6505,plain,
( ~ sQ190_spl
| ~ sQ85_spl
| op(e0,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f1805,f2243]) ).
fof(f6506,plain,
( ~ sQ190_spl
| ~ sQ85_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f3650,f6505]) ).
fof(f6507,plain,
( ~ sQ190_spl
| ~ sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6506,f203]) ).
fof(f6508,plain,
( ~ sQ190_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f6507]) ).
fof(f6587,plain,
( ~ sQ39_spl
| e4 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f1657,f120]) ).
fof(f6593,plain,
( ~ sQ61_spl
| e1 != op(e2,e4) ),
inference(forward_demodulation,[status(thm)],[f1728,f174]) ).
fof(f6620,plain,
( sQ241_spl
| ~ sQ69_spl
| op(e2,e4) != e3 ),
inference(backward_demodulation,[status(thm)],[f1753,f2512]) ).
fof(f6659,plain,
( ~ sQ139_spl
| ~ sQ97_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f4654,f1816,f1842,f2035]) ).
fof(f6667,plain,
( ~ sQ139_spl
| ~ sQ97_spl
| op(e3,e2) = e4 ),
inference(forward_demodulation,[status(thm)],[f1843,f2036]) ).
fof(f6668,plain,
( ~ sQ139_spl
| ~ sQ97_spl
| ~ sQ85_spl
| e0 = e4 ),
inference(forward_demodulation,[status(thm)],[f1805,f6667]) ).
fof(f6669,plain,
( ~ sQ139_spl
| ~ sQ97_spl
| ~ sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6668,f199]) ).
fof(f6670,plain,
( ~ sQ139_spl
| ~ sQ97_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f6669]) ).
fof(f6671,plain,
( sQ195_spl
| ~ sQ97_spl
| op(e2,e4) != e3 ),
inference(forward_demodulation,[status(thm)],[f1843,f2261]) ).
fof(f6681,plain,
( ~ sQ137_spl
| ~ sQ70_spl
| op(e2,e0) = e4 ),
inference(forward_demodulation,[status(thm)],[f1757,f2029]) ).
fof(f6682,plain,
( ~ sQ137_spl
| ~ sQ70_spl
| e2 = e4 ),
inference(forward_demodulation,[status(thm)],[f3649,f6681]) ).
fof(f6683,plain,
( ~ sQ137_spl
| ~ sQ70_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6682,f204]) ).
fof(f6684,plain,
( ~ sQ137_spl
| ~ sQ70_spl ),
inference(contradiction_clause,[status(thm)],[f6683]) ).
fof(f6685,plain,
( ~ sQ242_spl
| ~ sQ69_spl
| op(e3,e4) = e2 ),
inference(forward_demodulation,[status(thm)],[f1753,f2514]) ).
fof(f6686,plain,
( ~ sQ239_spl
| ~ sQ85_spl
| op(e2,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f1805,f2501]) ).
fof(f6687,plain,
( ~ sQ239_spl
| ~ sQ85_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f3649,f6686]) ).
fof(f6688,plain,
( ~ sQ239_spl
| ~ sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6687,f203]) ).
fof(f6689,plain,
( ~ sQ239_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f6688]) ).
fof(f6690,plain,
( ~ sQ11_spl
| e1 = e2 ),
inference(backward_demodulation,[status(thm)],[f1568,f3650]) ).
fof(f6721,plain,
( ~ sQ222_spl
| ~ sQ113_spl
| op(e4,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f1894,f2400]) ).
fof(f6722,plain,
( ~ sQ222_spl
| ~ sQ113_spl
| ~ sQ115_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f1901,f6721]) ).
fof(f6723,plain,
( ~ sQ222_spl
| ~ sQ113_spl
| ~ sQ115_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6722,f197]) ).
fof(f6724,plain,
( ~ sQ222_spl
| ~ sQ113_spl
| ~ sQ115_spl ),
inference(contradiction_clause,[status(thm)],[f6723]) ).
fof(f6725,plain,
( ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6690,f200]) ).
fof(f6726,plain,
~ sQ11_spl,
inference(contradiction_clause,[status(thm)],[f6725]) ).
fof(f6732,plain,
( ~ sQ171_spl
| ~ sQ107_spl
| op(e1,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f6738,f165]) ).
fof(f6734,plain,
( ~ sQ171_spl
| ~ sQ107_spl
| e2 != op(e3,e4) ),
inference(backward_demodulation,[status(thm)],[f6738,f141]) ).
fof(f6738,plain,
( ~ sQ171_spl
| ~ sQ107_spl
| e2 = op(e1,e4) ),
inference(forward_demodulation,[status(thm)],[f1875,f2178]) ).
fof(f6742,plain,
( ~ sQ172_spl
| ~ sQ171_spl
| ~ sQ107_spl
| op(e2,e4) = e1 ),
inference(forward_demodulation,[status(thm)],[f6738,f2181]) ).
fof(f6745,plain,
( sQ190_spl
| ~ sQ86_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f5940,f1653,f1807,f2242]) ).
fof(f6749,plain,
( ~ sQ135_spl
| ~ sQ47_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f4242,f1656,f1682,f2021]) ).
fof(f6754,plain,
( ~ sQ169_spl
| ~ sQ44_spl
| op(e4,e3) = e1 ),
inference(backward_demodulation,[status(thm)],[f1673,f2171]) ).
fof(f6762,plain,
( ~ sQ260_spl
| ~ sQ44_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f5902,f1839,f1672,f2618]) ).
fof(f6767,plain,
( ~ sQ239_spl
| ~ sQ86_spl
| op(e2,e1) = e3 ),
inference(backward_demodulation,[status(thm)],[f1808,f2501]) ).
fof(f6779,plain,
( sQ184_spl
| ~ sQ172_spl
| ~ sQ171_spl
| ~ sQ107_spl
| op(e1,e4) != e2 ),
inference(forward_demodulation,[status(thm)],[f6742,f2223]) ).
fof(f6780,plain,
( sQ184_spl
| ~ sQ172_spl
| ~ sQ171_spl
| ~ sQ107_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f6738,f6779]) ).
fof(f6781,plain,
( sQ184_spl
| ~ sQ172_spl
| ~ sQ171_spl
| ~ sQ107_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6780]) ).
fof(f6782,plain,
( sQ184_spl
| ~ sQ172_spl
| ~ sQ171_spl
| ~ sQ107_spl ),
inference(contradiction_clause,[status(thm)],[f6781]) ).
fof(f6790,plain,
( ~ sQ65_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f5285,f1708,f1740]) ).
fof(f6794,plain,
( sQ203_spl
| ~ sQ116_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f6063,f1672,f1903,f2287]) ).
fof(f6798,plain,
( sQ184_spl
| ~ sQ71_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f6365,f1682,f1759,f2221]) ).
fof(f6807,plain,
( ~ sQ137_spl
| ~ sQ71_spl
| op(e2,e1) = e4 ),
inference(backward_demodulation,[status(thm)],[f1760,f2029]) ).
fof(f6808,plain,
( ~ sQ73_spl
| ~ sQ71_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f1760,f1766]) ).
fof(f6809,plain,
( ~ sQ73_spl
| ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6808,f201]) ).
fof(f6810,plain,
( ~ sQ73_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f6809]) ).
fof(f6820,plain,
( ~ sQ33_spl
| e3 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f1638,f160]) ).
fof(f6822,plain,
( ~ sQ33_spl
| e3 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f1638,f110]) ).
fof(f6838,plain,
( ~ sQ139_spl
| ~ sQ95_spl
| sQ79_spl ),
inference(split_clause,[status(thm)],[f3892,f1784,f1836,f2035]) ).
fof(f6840,plain,
( ~ sQ35_spl
| e0 != op(e4,e2) ),
inference(backward_demodulation,[status(thm)],[f1645,f122]) ).
fof(f6877,plain,
( ~ sQ188_spl
| ~ sQ84_spl
| op(e4,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f1801,f2236]) ).
fof(f6878,plain,
( ~ sQ188_spl
| ~ sQ84_spl
| ~ sQ123_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6877,f5763]) ).
fof(f6879,plain,
( ~ sQ188_spl
| ~ sQ84_spl
| ~ sQ123_spl ),
inference(contradiction_clause,[status(thm)],[f6878]) ).
fof(f6881,plain,
( ~ sQ38_spl
| ~ sQ35_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f1645,f1654]) ).
fof(f6882,plain,
( ~ sQ38_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6881,f198]) ).
fof(f6883,plain,
( ~ sQ38_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f6882]) ).
fof(f6888,plain,
( ~ sQ169_spl
| ~ sQ44_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f6754,f1903,f1672,f2170]) ).
fof(f6892,plain,
( ~ sQ35_spl
| e0 != op(e1,e4) ),
inference(forward_demodulation,[status(thm)],[f1645,f164]) ).
fof(f6893,plain,
( ~ sQ47_spl
| e2 != op(e3,e4) ),
inference(backward_demodulation,[status(thm)],[f1683,f141]) ).
fof(f6904,plain,
( ~ sQ33_spl
| e3 != op(e4,e1) ),
inference(forward_demodulation,[status(thm)],[f1638,f112]) ).
fof(f6915,plain,
( ~ sQ180_spl
| ~ sQ35_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f1645,f3686]) ).
fof(f6916,plain,
( ~ sQ180_spl
| ~ sQ35_spl
| ~ sQ65_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f1741,f6915]) ).
fof(f6917,plain,
( ~ sQ180_spl
| ~ sQ35_spl
| ~ sQ65_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6916]) ).
fof(f6918,plain,
( ~ sQ180_spl
| ~ sQ35_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f6917]) ).
fof(f6945,plain,
( ~ sQ184_spl
| ~ sQ73_spl
| op(e3,e4) = e2 ),
inference(backward_demodulation,[status(thm)],[f1766,f2222]) ).
fof(f6971,plain,
( ~ sQ92_spl
| e2 != op(e3,e4) ),
inference(forward_demodulation,[status(thm)],[f1827,f185]) ).
fof(f6992,plain,
( ~ sQ183_spl
| ~ sQ35_spl
| e0 != op(e2,e4) ),
inference(forward_demodulation,[status(thm)],[f1645,f3668]) ).
fof(f7000,plain,
( ~ sQ183_spl
| ~ sQ113_spl
| e3 = op(e2,e4) ),
inference(forward_demodulation,[status(thm)],[f1894,f2219]) ).
fof(f7009,plain,
( ~ sQ172_spl
| ~ sQ47_spl
| sQ71_spl ),
inference(split_clause,[status(thm)],[f5883,f1759,f1682,f2180]) ).
fof(f7011,plain,
( ~ sQ172_spl
| ~ sQ47_spl
| op(e2,e4) = e1 ),
inference(forward_demodulation,[status(thm)],[f1683,f2181]) ).
fof(f7012,plain,
( ~ sQ172_spl
| ~ sQ171_spl
| ~ sQ107_spl
| sQ71_spl ),
inference(split_clause,[status(thm)],[f6742,f1759,f1874,f2177,f2180]) ).
fof(f7032,plain,
( ~ sQ171_spl
| ~ sQ47_spl
| op(e4,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f1683,f2178]) ).
fof(f7039,plain,
( ~ sQ61_spl
| ~ sQ172_spl
| ~ sQ47_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f7011,f6593]) ).
fof(f7040,plain,
( ~ sQ61_spl
| ~ sQ172_spl
| ~ sQ47_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7039]) ).
fof(f7041,plain,
( ~ sQ61_spl
| ~ sQ172_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f7040]) ).
fof(f7086,plain,
( ~ sQ139_spl
| ~ sQ96_spl
| op(e3,e1) = e4 ),
inference(forward_demodulation,[status(thm)],[f1840,f2036]) ).
fof(f7087,plain,
( ~ sQ139_spl
| ~ sQ96_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7086,f6308]) ).
fof(f7088,plain,
( ~ sQ139_spl
| ~ sQ96_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f7087]) ).
fof(f7089,plain,
( ~ sQ199_spl
| ~ sQ171_spl
| ~ sQ47_spl
| op(e2,e1) = e4 ),
inference(forward_demodulation,[status(thm)],[f7032,f2274]) ).
fof(f7102,plain,
( ~ sQ191_spl
| ~ sQ89_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f4662,f1906,f1816,f2245]) ).
fof(f7117,plain,
( ~ sQ165_spl
| ~ sQ35_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f1645,f3700]) ).
fof(f7118,plain,
( ~ sQ165_spl
| ~ sQ35_spl
| ~ sQ65_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f1741,f7117]) ).
fof(f7119,plain,
( ~ sQ165_spl
| ~ sQ35_spl
| ~ sQ65_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7118]) ).
fof(f7120,plain,
( ~ sQ165_spl
| ~ sQ35_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f7119]) ).
fof(f7128,plain,
( ~ sQ195_spl
| ~ sQ96_spl
| op(e1,e4) = e3 ),
inference(forward_demodulation,[status(thm)],[f1840,f2260]) ).
fof(f7129,plain,
( ~ sQ195_spl
| ~ sQ96_spl
| ~ sQ47_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f1683,f7128]) ).
fof(f7130,plain,
( ~ sQ195_spl
| ~ sQ96_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7129,f203]) ).
fof(f7131,plain,
( ~ sQ195_spl
| ~ sQ96_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f7130]) ).
fof(f7154,plain,
( ~ sQ184_spl
| ~ sQ73_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f6945,f1842,f1765,f2221]) ).
fof(f7174,plain,
( ~ sQ271_spl
| ~ sQ59_spl
| op(e2,e4) = e1 ),
inference(forward_demodulation,[status(thm)],[f1721,f2691]) ).
fof(f7175,plain,
( ~ sQ253_spl
| ~ sQ80_spl
| e1 = e3 ),
inference(backward_demodulation,[status(thm)],[f7176,f3647]) ).
fof(f7176,plain,
( ~ sQ253_spl
| ~ sQ80_spl
| op(e3,e0) = e1 ),
inference(forward_demodulation,[status(thm)],[f1789,f2590]) ).
fof(f7177,plain,
( sQ190_spl
| ~ sQ201_spl
| ~ sQ113_spl
| op(e4,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f6018,f2244]) ).
fof(f7178,plain,
( sQ190_spl
| ~ sQ201_spl
| ~ sQ113_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f1894,f7177]) ).
fof(f7179,plain,
( sQ190_spl
| ~ sQ201_spl
| ~ sQ113_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7178]) ).
fof(f7180,plain,
( sQ190_spl
| ~ sQ201_spl
| ~ sQ113_spl ),
inference(contradiction_clause,[status(thm)],[f7179]) ).
fof(f7188,plain,
( ~ sQ66_spl
| ~ sQ271_spl
| ~ sQ59_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f7174,f5098]) ).
fof(f7189,plain,
( ~ sQ66_spl
| ~ sQ271_spl
| ~ sQ59_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7188]) ).
fof(f7190,plain,
( ~ sQ66_spl
| ~ sQ271_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f7189]) ).
fof(f7198,plain,
( ~ sQ180_spl
| ~ sQ66_spl
| e1 != op(e4,e2) ),
inference(forward_demodulation,[status(thm)],[f5563,f125]) ).
fof(f7205,plain,
( ~ sQ33_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f6904,f1877,f1637]) ).
fof(f7259,plain,
( sQ199_spl
| ~ sQ108_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f6391,f1800,f1877,f2273]) ).
fof(f7261,plain,
( ~ sQ108_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f6395,f1925,f1877]) ).
fof(f7269,plain,
( ~ sQ235_spl
| ~ sQ108_spl
| op(e4,e3) = e1 ),
inference(backward_demodulation,[status(thm)],[f1878,f2484]) ).
fof(f7313,plain,
( ~ sQ190_spl
| ~ sQ86_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f6033,f1637,f1807,f2242]) ).
fof(f7362,plain,
( sQ260_spl
| ~ sQ42_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f5644,f1807,f1666,f2618]) ).
fof(f7409,plain,
( ~ sQ63_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f5330,f1653,f1733]) ).
fof(f7411,plain,
( sQ166_spl
| ~ sQ190_spl
| ~ sQ86_spl
| op(e3,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f6034,f2162]) ).
fof(f7412,plain,
( sQ166_spl
| ~ sQ190_spl
| ~ sQ86_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f1808,f7411]) ).
fof(f7413,plain,
( sQ166_spl
| ~ sQ190_spl
| ~ sQ86_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7412]) ).
fof(f7414,plain,
( sQ166_spl
| ~ sQ190_spl
| ~ sQ86_spl ),
inference(contradiction_clause,[status(thm)],[f7413]) ).
fof(f7416,plain,
( sQ199_spl
| ~ sQ107_spl
| op(e2,e1) != e4 ),
inference(backward_demodulation,[status(thm)],[f1875,f2275]) ).
fof(f7428,plain,
( ~ sQ39_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f6587,f1736,f1656]) ).
fof(f7433,plain,
( ~ sQ45_spl
| e0 != op(e2,e4) ),
inference(backward_demodulation,[status(thm)],[f1677,f140]) ).
fof(f7450,plain,
( ~ sQ55_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f4793,f1788,f1708]) ).
fof(f7451,plain,
( ~ sQ272_spl
| ~ sQ55_spl
| op(e1,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f1709,f2694]) ).
fof(f7452,plain,
( ~ sQ272_spl
| ~ sQ55_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f3651,f7451]) ).
fof(f7453,plain,
( ~ sQ272_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7452,f200]) ).
fof(f7454,plain,
( ~ sQ272_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f7453]) ).
fof(f7467,plain,
( ~ sQ35_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f6840,f1884,f1644]) ).
fof(f7470,plain,
( ~ sQ183_spl
| ~ sQ35_spl
| ~ sQ70_spl ),
inference(split_clause,[status(thm)],[f6992,f1756,f1644,f2218]) ).
fof(f7472,plain,
( ~ sQ35_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f6892,f1676,f1644]) ).
fof(f7517,plain,
( ~ sQ180_spl
| ~ sQ86_spl
| e1 = op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f1808,f2209]) ).
fof(f7533,plain,
( sQ222_spl
| ~ sQ183_spl
| op(e4,op(e2,e4)) != e2 ),
inference(backward_demodulation,[status(thm)],[f2219,f2401]) ).
fof(f7555,plain,
( sQ199_spl
| ~ sQ107_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f7416,f1720,f1874,f2273]) ).
fof(f7561,plain,
( ~ sQ45_spl
| ~ sQ70_spl ),
inference(split_clause,[status(thm)],[f7433,f1756,f1676]) ).
fof(f7566,plain,
( ~ sQ59_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f6308,f1800,f1720]) ).
fof(f7571,plain,
( ~ sQ272_spl
| ~ sQ59_spl
| sQ47_spl ),
inference(split_clause,[status(thm)],[f6191,f1682,f1720,f2693]) ).
fof(f7574,plain,
( ~ sQ165_spl
| ~ sQ70_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f5783,f1644,f1756,f2157]) ).
fof(f7626,plain,
( ~ sQ183_spl
| ~ sQ113_spl
| e3 = op(e2,e4) ),
inference(backward_demodulation,[status(thm)],[f1894,f2219]) ).
fof(f7630,plain,
( ~ sQ183_spl
| ~ sQ113_spl
| sQ195_spl
| ~ sQ97_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7000,f6671]) ).
fof(f7631,plain,
( ~ sQ183_spl
| ~ sQ113_spl
| sQ195_spl
| ~ sQ97_spl ),
inference(contradiction_clause,[status(thm)],[f7630]) ).
fof(f7678,plain,
( ~ sQ188_spl
| ~ sQ80_spl
| op(e0,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f1789,f2236]) ).
fof(f7679,plain,
( ~ sQ188_spl
| ~ sQ80_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f3652,f7678]) ).
fof(f7680,plain,
( ~ sQ188_spl
| ~ sQ80_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7679,f201]) ).
fof(f7681,plain,
( ~ sQ188_spl
| ~ sQ80_spl ),
inference(contradiction_clause,[status(thm)],[f7680]) ).
fof(f7682,plain,
( sQ272_spl
| ~ sQ59_spl
| op(e1,e4) != e2 ),
inference(forward_demodulation,[status(thm)],[f1721,f2695]) ).
fof(f7694,plain,
( ~ sQ168_spl
| ~ sQ42_spl
| sQ82_spl ),
inference(split_clause,[status(thm)],[f5646,f1794,f1666,f2167]) ).
fof(f7695,plain,
( ~ sQ168_spl
| ~ sQ42_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f5634,f1842,f1666,f2167]) ).
fof(f7705,plain,
( ~ sQ253_spl
| ~ sQ80_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7175,f201]) ).
fof(f7706,plain,
( ~ sQ253_spl
| ~ sQ80_spl ),
inference(contradiction_clause,[status(thm)],[f7705]) ).
fof(f7717,plain,
( ~ sQ235_spl
| ~ sQ107_spl
| op(e4,e2) = e1 ),
inference(forward_demodulation,[status(thm)],[f1875,f2484]) ).
fof(f7719,plain,
( ~ sQ200_spl
| ~ sQ107_spl
| op(e2,e4) = e1 ),
inference(forward_demodulation,[status(thm)],[f1875,f2277]) ).
fof(f7722,plain,
( ~ sQ183_spl
| ~ sQ113_spl
| ~ sQ200_spl
| ~ sQ107_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f7719,f7626]) ).
fof(f7723,plain,
( ~ sQ183_spl
| ~ sQ113_spl
| ~ sQ200_spl
| ~ sQ107_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7722,f201]) ).
fof(f7724,plain,
( ~ sQ183_spl
| ~ sQ113_spl
| ~ sQ200_spl
| ~ sQ107_spl ),
inference(contradiction_clause,[status(thm)],[f7723]) ).
fof(f7726,plain,
( ~ sQ196_spl
| ~ sQ97_spl
| op(e2,e3) = e4 ),
inference(forward_demodulation,[status(thm)],[f1843,f2263]) ).
fof(f7727,plain,
( ~ sQ196_spl
| ~ sQ97_spl
| ~ sQ66_spl
| e1 = e4 ),
inference(forward_demodulation,[status(thm)],[f1744,f7726]) ).
fof(f7728,plain,
( ~ sQ196_spl
| ~ sQ97_spl
| ~ sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7727,f202]) ).
fof(f7729,plain,
( ~ sQ196_spl
| ~ sQ97_spl
| ~ sQ66_spl ),
inference(contradiction_clause,[status(thm)],[f7728]) ).
fof(f7736,plain,
( ~ sQ116_spl
| op(e3,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f1904,f135]) ).
fof(f7738,plain,
( sQ276_spl
| ~ sQ39_spl
| ~ sQ71_spl ),
inference(split_clause,[status(thm)],[f6483,f1759,f1656,f2709]) ).
fof(f7751,plain,
( ~ sQ71_spl
| op(e2,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f1760,f172]) ).
fof(f7753,plain,
( ~ sQ137_spl
| ~ sQ71_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f6807,f1720,f1759,f2028]) ).
fof(f7809,plain,
( sQ253_spl
| ~ sQ84_spl
| op(e3,e4) != e1 ),
inference(backward_demodulation,[status(thm)],[f1801,f2591]) ).
fof(f7834,plain,
( ~ sQ137_spl
| ~ sQ71_spl
| op(e2,e1) = e4 ),
inference(forward_demodulation,[status(thm)],[f1760,f2029]) ).
fof(f7835,plain,
( ~ sQ137_spl
| ~ sQ71_spl
| ~ sQ55_spl
| e0 = e4 ),
inference(forward_demodulation,[status(thm)],[f1709,f7834]) ).
fof(f7836,plain,
( ~ sQ137_spl
| ~ sQ71_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7835,f199]) ).
fof(f7837,plain,
( ~ sQ137_spl
| ~ sQ71_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f7836]) ).
fof(f7870,plain,
( ~ sQ253_spl
| ~ sQ84_spl
| op(e3,e4) = e1 ),
inference(forward_demodulation,[status(thm)],[f1801,f2590]) ).
fof(f7871,plain,
( ~ sQ276_spl
| ~ sQ39_spl
| op(e2,e4) = e1 ),
inference(forward_demodulation,[status(thm)],[f1657,f2710]) ).
fof(f7872,plain,
( ~ sQ276_spl
| ~ sQ39_spl
| ~ sQ253_spl
| ~ sQ84_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f7870,f4645]) ).
fof(f7873,plain,
( ~ sQ276_spl
| ~ sQ39_spl
| ~ sQ253_spl
| ~ sQ84_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7872]) ).
fof(f7874,plain,
( ~ sQ276_spl
| ~ sQ39_spl
| ~ sQ253_spl
| ~ sQ84_spl ),
inference(contradiction_clause,[status(thm)],[f7873]) ).
fof(f7878,plain,
( ~ sQ235_spl
| ~ sQ107_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f7717,f1887,f1874,f2483]) ).
fof(f7885,plain,
( sQ236_spl
| ~ sQ107_spl
| op(e1,e2) != e4 ),
inference(forward_demodulation,[status(thm)],[f1875,f2488]) ).
fof(f7886,plain,
( sQ236_spl
| ~ sQ107_spl
| ~ sQ39_spl
| e4 != e4 ),
inference(forward_demodulation,[status(thm)],[f1657,f7885]) ).
fof(f7887,plain,
( sQ236_spl
| ~ sQ107_spl
| ~ sQ39_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7886]) ).
fof(f7888,plain,
( sQ236_spl
| ~ sQ107_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f7887]) ).
fof(f7889,plain,
( ~ sQ71_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f7751,f1711,f1759]) ).
fof(f7895,plain,
( ~ sQ63_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6347,f198]) ).
fof(f7896,plain,
( ~ sQ63_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f7895]) ).
fof(f7913,plain,
( ~ sQ254_spl
| ~ sQ84_spl
| op(e1,e4) = e3 ),
inference(forward_demodulation,[status(thm)],[f1801,f2593]) ).
fof(f7914,plain,
( ~ sQ254_spl
| ~ sQ84_spl
| ~ sQ45_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f1677,f7913]) ).
fof(f7915,plain,
( ~ sQ254_spl
| ~ sQ84_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7914,f198]) ).
fof(f7916,plain,
( ~ sQ254_spl
| ~ sQ84_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f7915]) ).
fof(f7917,plain,
( sQ138_spl
| ~ sQ71_spl
| op(e4,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f1760,f2033]) ).
fof(f7918,plain,
( sQ138_spl
| ~ sQ71_spl
| ~ sQ107_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f1875,f7917]) ).
fof(f7919,plain,
( sQ138_spl
| ~ sQ71_spl
| ~ sQ107_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7918]) ).
fof(f7920,plain,
( sQ138_spl
| ~ sQ71_spl
| ~ sQ107_spl ),
inference(contradiction_clause,[status(thm)],[f7919]) ).
fof(f7924,plain,
( ~ sQ275_spl
| ~ sQ39_spl
| op(e1,e4) = e2 ),
inference(forward_demodulation,[status(thm)],[f1657,f2707]) ).
fof(f7925,plain,
( ~ sQ275_spl
| ~ sQ39_spl
| ~ sQ45_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f1677,f7924]) ).
fof(f7926,plain,
( ~ sQ275_spl
| ~ sQ39_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7925,f197]) ).
fof(f7927,plain,
( ~ sQ275_spl
| ~ sQ39_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f7926]) ).
fof(f7943,plain,
( ~ sQ199_spl
| ~ sQ171_spl
| ~ sQ47_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f7089,f1720,f1682,f2177,f2273]) ).
fof(f7947,plain,
( ~ sQ70_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f5291,f1708,f1756]) ).
fof(f7976,plain,
( ~ sQ33_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f6820,f1653,f1637]) ).
fof(f7981,plain,
( ~ sQ171_spl
| ~ sQ107_spl
| e2 = op(e1,e4) ),
inference(forward_demodulation,[status(thm)],[f1875,f2178]) ).
fof(f8014,plain,
( ~ sQ33_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f6822,f1717,f1637]) ).
fof(f8020,plain,
( ~ sQ136_spl
| ~ sQ47_spl
| op(e2,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f5801,f124]) ).
fof(f8038,plain,
( ~ sQ96_spl
| op(e3,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f1840,f185]) ).
fof(f8056,plain,
( ~ sQ34_spl
| ~ sQ33_spl
| e3 = e4 ),
inference(forward_demodulation,[status(thm)],[f1638,f1641]) ).
fof(f8057,plain,
( ~ sQ34_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8056,f205]) ).
fof(f8058,plain,
( ~ sQ34_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f8057]) ).
fof(f8064,plain,
( ~ sQ66_spl
| op(e2,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f1744,f171]) ).
fof(f8087,plain,
( ~ sQ275_spl
| ~ sQ35_spl
| op(e1,e0) = e2 ),
inference(backward_demodulation,[status(thm)],[f1645,f2707]) ).
fof(f8103,plain,
( ~ sQ105_spl
| op(e2,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f1869,f114]) ).
fof(f8105,plain,
( sQ171_spl
| ~ sQ105_spl
| e0 != op(e1,e4) ),
inference(forward_demodulation,[status(thm)],[f1869,f2179]) ).
fof(f8114,plain,
( sQ272_spl
| ~ sQ59_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f7682,f1682,f1720,f2693]) ).
fof(f8142,plain,
( sQ188_spl
| ~ sQ82_spl
| op(e2,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f1795,f2237]) ).
fof(f8182,plain,
( ~ sQ238_spl
| ~ sQ89_spl
| op(e3,e4) = e2 ),
inference(forward_demodulation,[status(thm)],[f1817,f2498]) ).
fof(f8183,plain,
( ~ sQ238_spl
| ~ sQ89_spl
| ~ sQ96_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f1840,f8182]) ).
fof(f8184,plain,
( ~ sQ238_spl
| ~ sQ89_spl
| ~ sQ96_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8183,f200]) ).
fof(f8185,plain,
( ~ sQ238_spl
| ~ sQ89_spl
| ~ sQ96_spl ),
inference(contradiction_clause,[status(thm)],[f8184]) ).
fof(f8186,plain,
( ~ sQ222_spl
| ~ sQ136_spl
| ~ sQ47_spl
| op(e4,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f5801,f2400]) ).
fof(f8187,plain,
( ~ sQ222_spl
| ~ sQ136_spl
| ~ sQ47_spl
| ~ sQ105_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f1869,f8186]) ).
fof(f8188,plain,
( ~ sQ222_spl
| ~ sQ136_spl
| ~ sQ47_spl
| ~ sQ105_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8187,f197]) ).
fof(f8189,plain,
( ~ sQ222_spl
| ~ sQ136_spl
| ~ sQ47_spl
| ~ sQ105_spl ),
inference(contradiction_clause,[status(thm)],[f8188]) ).
fof(f8192,plain,
( sQ104_spl
| e4 != e4 ),
inference(forward_demodulation,[status(thm)],[f3645,f1866]) ).
fof(f8193,plain,
( sQ104_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8192]) ).
fof(f8194,plain,
sQ104_spl,
inference(contradiction_clause,[status(thm)],[f8193]) ).
fof(f8200,plain,
( sQ203_spl
| ~ sQ117_spl
| op(e2,e3) != e4 ),
inference(backward_demodulation,[status(thm)],[f1907,f2289]) ).
fof(f8212,plain,
( ~ sQ275_spl
| ~ sQ35_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f8087,f1618,f1644,f2706]) ).
fof(f8222,plain,
( sQ238_spl
| ~ sQ89_spl
| op(e3,e4) != e2 ),
inference(forward_demodulation,[status(thm)],[f1817,f2499]) ).
fof(f8226,plain,
( sQ239_spl
| ~ sQ89_spl
| op(e2,e4) != e3 ),
inference(forward_demodulation,[status(thm)],[f1817,f2502]) ).
fof(f8230,plain,
( sQ223_spl
| ~ sQ136_spl
| ~ sQ47_spl
| op(e2,e1) != e4 ),
inference(forward_demodulation,[status(thm)],[f5801,f2404]) ).
fof(f8231,plain,
( sQ223_spl
| ~ sQ136_spl
| ~ sQ47_spl
| ~ sQ59_spl
| e4 != e4 ),
inference(forward_demodulation,[status(thm)],[f1721,f8230]) ).
fof(f8232,plain,
( sQ223_spl
| ~ sQ136_spl
| ~ sQ47_spl
| ~ sQ59_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8231]) ).
fof(f8233,plain,
( sQ223_spl
| ~ sQ136_spl
| ~ sQ47_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f8232]) ).
fof(f8234,plain,
( ~ sQ187_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f5271,f1740,f2231]) ).
fof(f8252,plain,
( sQ184_spl
| ~ sQ183_spl
| ~ sQ113_spl
| op(e3,e4) != e2 ),
inference(backward_demodulation,[status(thm)],[f7626,f2223]) ).
fof(f8275,plain,
( ~ sQ194_spl
| ~ sQ117_spl
| e2 = op(e3,e4) ),
inference(forward_demodulation,[status(thm)],[f1907,f2257]) ).
fof(f8315,plain,
( ~ sQ239_spl
| ~ sQ86_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f6767,f1717,f1807,f2500]) ).
fof(f8337,plain,
( sQ238_spl
| ~ sQ89_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f8222,f1842,f1816,f2497]) ).
fof(f8339,plain,
( ~ sQ194_spl
| ~ sQ117_spl
| op(e3,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f8275,f182]) ).
fof(f8343,plain,
( ~ sQ47_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f6893,f1842,f1682]) ).
fof(f8365,plain,
( ~ sQ195_spl
| ~ sQ97_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f4056,f1765,f1842,f2259]) ).
fof(f8377,plain,
( ~ sQ123_spl
| ~ sQ121_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5913,f201]) ).
fof(f8378,plain,
( ~ sQ123_spl
| ~ sQ121_spl ),
inference(contradiction_clause,[status(thm)],[f8377]) ).
fof(f8384,plain,
( ~ sQ194_spl
| ~ sQ117_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f8339,f1794,f1906,f2256]) ).
fof(f8388,plain,
( sQ184_spl
| ~ sQ183_spl
| ~ sQ113_spl
| ~ sQ194_spl
| ~ sQ117_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f8275,f8252]) ).
fof(f8389,plain,
( sQ184_spl
| ~ sQ183_spl
| ~ sQ113_spl
| ~ sQ194_spl
| ~ sQ117_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8388]) ).
fof(f8390,plain,
( sQ184_spl
| ~ sQ183_spl
| ~ sQ113_spl
| ~ sQ194_spl
| ~ sQ117_spl ),
inference(contradiction_clause,[status(thm)],[f8389]) ).
fof(f8402,plain,
( sQ168_spl
| ~ sQ40_spl
| op(e3,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f1661,f2169]) ).
fof(f8408,plain,
( ~ sQ40_spl
| e0 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f1661,f130]) ).
fof(f8410,plain,
( sQ171_spl
| ~ sQ105_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f8105,f1676,f1868,f2177]) ).
fof(f8412,plain,
( ~ sQ40_spl
| e0 != op(e1,e4) ),
inference(forward_demodulation,[status(thm)],[f1661,f165]) ).
fof(f8417,plain,
( ~ sQ86_spl
| e1 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f1808,f183]) ).
fof(f8426,plain,
( ~ sQ105_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f8103,f1708,f1868]) ).
fof(f8441,plain,
( sQ194_spl
| ~ sQ97_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f4430,f1906,f1842,f2256]) ).
fof(f8456,plain,
( ~ sQ45_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1677,f8412]) ).
fof(f8457,plain,
( ~ sQ45_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f8456]) ).
fof(f8470,plain,
( sQ188_spl
| ~ sQ84_spl
| op(e4,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f1801,f2237]) ).
fof(f8476,plain,
( sQ253_spl
| ~ sQ84_spl
| ~ sQ96_spl ),
inference(split_clause,[status(thm)],[f7809,f1839,f1800,f2589]) ).
fof(f8492,plain,
( sQ241_spl
| ~ sQ69_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f6620,f1765,f1752,f2510]) ).
fof(f8496,plain,
( sQ180_spl
| ~ sQ69_spl
| op(e3,e2) != e4 ),
inference(forward_demodulation,[status(thm)],[f1753,f2210]) ).
fof(f8532,plain,
( ~ sQ222_spl
| ~ sQ113_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f6721,f1906,f1893,f2399]) ).
fof(f8560,plain,
( ~ sQ203_spl
| ~ sQ194_spl
| ~ sQ96_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f5720,f1672,f1839,f2256,f2287]) ).
fof(f8564,plain,
( sQ139_spl
| ~ sQ96_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f5685,f1800,f1839,f2035]) ).
fof(f8585,plain,
( ~ sQ85_spl
| e0 != op(e3,e4) ),
inference(backward_demodulation,[status(thm)],[f1805,f184]) ).
fof(f8785,plain,
( ~ sQ241_spl
| ~ sQ69_spl
| op(e2,e4) = e3 ),
inference(forward_demodulation,[status(thm)],[f1753,f2511]) ).
fof(f8787,plain,
( ~ sQ259_spl
| ~ sQ40_spl
| op(e1,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f1661,f2616]) ).
fof(f8788,plain,
( ~ sQ259_spl
| ~ sQ40_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f3651,f8787]) ).
fof(f8789,plain,
( ~ sQ259_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8788,f201]) ).
fof(f8790,plain,
( ~ sQ259_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f8789]) ).
fof(f8791,plain,
( sQ223_spl
| ~ sQ113_spl
| op(e2,e3) != e4 ),
inference(forward_demodulation,[status(thm)],[f1894,f2404]) ).
fof(f8792,plain,
( sQ223_spl
| ~ sQ113_spl
| ~ sQ69_spl
| e4 != e4 ),
inference(forward_demodulation,[status(thm)],[f1753,f8791]) ).
fof(f8793,plain,
( sQ223_spl
| ~ sQ113_spl
| ~ sQ69_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8792]) ).
fof(f8794,plain,
( sQ223_spl
| ~ sQ113_spl
| ~ sQ69_spl ),
inference(contradiction_clause,[status(thm)],[f8793]) ).
fof(f8816,plain,
( ~ sQ9_spl
| e1 = e4 ),
inference(forward_demodulation,[status(thm)],[f3652,f1561]) ).
fof(f8817,plain,
( ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8816,f202]) ).
fof(f8818,plain,
~ sQ9_spl,
inference(contradiction_clause,[status(thm)],[f8817]) ).
fof(f8819,plain,
( ~ sQ171_spl
| ~ sQ107_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f6732,f1666,f1874,f2177]) ).
fof(f8829,plain,
( sQ188_spl
| ~ sQ84_spl
| ~ sQ171_spl
| op(e1,e4) != e3 ),
inference(backward_demodulation,[status(thm)],[f2178,f8470]) ).
fof(f8831,plain,
( ~ sQ171_spl
| ~ sQ107_spl
| sQ47_spl ),
inference(split_clause,[status(thm)],[f7981,f1682,f1874,f2177]) ).
fof(f8833,plain,
( ~ sQ171_spl
| ~ sQ107_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f6734,f1842,f1874,f2177]) ).
fof(f8836,plain,
( sQ222_spl
| ~ sQ183_spl
| ~ sQ138_spl ),
inference(split_clause,[status(thm)],[f7533,f2031,f2218,f2399]) ).
fof(f8861,plain,
( ~ sQ183_spl
| ~ sQ71_spl
| op(e4,e2) = e1 ),
inference(backward_demodulation,[status(thm)],[f1760,f2219]) ).
fof(f8931,plain,
( ~ sQ34_spl
| e4 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f1641,f111]) ).
fof(f8932,plain,
( ~ sQ34_spl
| ~ sQ84_spl
| e4 != e4 ),
inference(forward_demodulation,[status(thm)],[f1801,f8931]) ).
fof(f8933,plain,
( ~ sQ34_spl
| ~ sQ84_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8932]) ).
fof(f8934,plain,
( ~ sQ34_spl
| ~ sQ84_spl ),
inference(contradiction_clause,[status(thm)],[f8933]) ).
fof(f8975,plain,
( ~ sQ165_spl
| ~ sQ38_spl
| e3 != op(e2,e4) ),
inference(forward_demodulation,[status(thm)],[f1654,f3699]) ).
fof(f9023,plain,
( ~ sQ275_spl
| ~ sQ38_spl
| op(e1,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f1654,f2707]) ).
fof(f9034,plain,
( ~ sQ184_spl
| ~ sQ71_spl
| op(e1,e4) = e2 ),
inference(forward_demodulation,[status(thm)],[f1760,f2222]) ).
fof(f9060,plain,
( sQ42_spl
| ~ sQ275_spl
| ~ sQ38_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f9023,f1668]) ).
fof(f9061,plain,
( sQ42_spl
| ~ sQ275_spl
| ~ sQ38_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9060]) ).
fof(f9062,plain,
( sQ42_spl
| ~ sQ275_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f9061]) ).
fof(f9063,plain,
( ~ sQ171_spl
| ~ sQ47_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f7032,f1874,f1682,f2177]) ).
fof(f9076,plain,
( ~ sQ86_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f8417,f1823,f1807]) ).
fof(f9079,plain,
( ~ sQ180_spl
| ~ sQ86_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f7517,f1743,f1807,f2208]) ).
fof(f9091,plain,
( ~ sQ116_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f7736,f1823,f1903]) ).
fof(f9127,plain,
( ~ sQ185_spl
| ~ sQ71_spl
| op(e1,e2) = e4 ),
inference(forward_demodulation,[status(thm)],[f1760,f2225]) ).
fof(f9128,plain,
( ~ sQ185_spl
| ~ sQ71_spl
| ~ sQ38_spl
| e3 = e4 ),
inference(forward_demodulation,[status(thm)],[f1654,f9127]) ).
fof(f9129,plain,
( ~ sQ185_spl
| ~ sQ71_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9128,f205]) ).
fof(f9130,plain,
( ~ sQ185_spl
| ~ sQ71_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f9129]) ).
fof(f9156,plain,
( ~ sQ69_spl
| e4 != op(e4,e3) ),
inference(backward_demodulation,[status(thm)],[f1753,f134]) ).
fof(f9164,plain,
( ~ sQ242_spl
| ~ sQ69_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f6685,f1842,f1752,f2513]) ).
fof(f9176,plain,
( ~ sQ253_spl
| ~ sQ82_spl
| op(e3,e2) = e1 ),
inference(backward_demodulation,[status(thm)],[f1795,f2590]) ).
fof(f9182,plain,
( sQ188_spl
| ~ sQ82_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f8142,f1717,f1794,f2235]) ).
fof(f9212,plain,
( sQ203_spl
| ~ sQ117_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f8200,f1752,f1906,f2287]) ).
fof(f9220,plain,
( ~ sQ196_spl
| ~ sQ95_spl
| op(e0,e3) = e4 ),
inference(forward_demodulation,[status(thm)],[f1837,f2263]) ).
fof(f9221,plain,
( ~ sQ196_spl
| ~ sQ95_spl
| e3 = e4 ),
inference(forward_demodulation,[status(thm)],[f3648,f9220]) ).
fof(f9222,plain,
( ~ sQ196_spl
| ~ sQ95_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9221,f205]) ).
fof(f9223,plain,
( ~ sQ196_spl
| ~ sQ95_spl ),
inference(contradiction_clause,[status(thm)],[f9222]) ).
fof(f9246,plain,
( sQ276_spl
| ~ sQ38_spl
| op(e2,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f1654,f2711]) ).
fof(f9304,plain,
( sQ180_spl
| ~ sQ69_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f8496,f1816,f1752,f2208]) ).
fof(f9312,plain,
( ~ sQ136_spl
| ~ sQ47_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f8020,f1727,f1682,f2024]) ).
fof(f9319,plain,
( ~ sQ111_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f5697,f1727,f1887]) ).
fof(f9334,plain,
( ~ sQ253_spl
| ~ sQ82_spl
| sQ86_spl ),
inference(split_clause,[status(thm)],[f9176,f1807,f1794,f2589]) ).
fof(f9341,plain,
( ~ sQ168_spl
| ~ sQ82_spl
| e2 = op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f1795,f2168]) ).
fof(f9342,plain,
( ~ sQ168_spl
| ~ sQ82_spl
| ~ sQ40_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f1661,f9341]) ).
fof(f9343,plain,
( ~ sQ168_spl
| ~ sQ82_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9342,f197]) ).
fof(f9344,plain,
( ~ sQ168_spl
| ~ sQ82_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f9343]) ).
fof(f9349,plain,
( ~ sQ204_spl
| ~ sQ117_spl
| op(e2,e4) = e3 ),
inference(forward_demodulation,[status(thm)],[f1907,f2291]) ).
fof(f9350,plain,
( ~ sQ204_spl
| ~ sQ117_spl
| ~ sQ188_spl
| ~ sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9349,f5540]) ).
fof(f9351,plain,
( ~ sQ204_spl
| ~ sQ117_spl
| ~ sQ188_spl
| ~ sQ82_spl ),
inference(contradiction_clause,[status(thm)],[f9350]) ).
fof(f9352,plain,
( ~ sQ165_spl
| ~ sQ38_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f8975,f1765,f1653,f2157]) ).
fof(f9356,plain,
( sQ239_spl
| ~ sQ180_spl
| op(e2,op(e2,e3)) != e3 ),
inference(forward_demodulation,[status(thm)],[f2209,f2502]) ).
fof(f9433,plain,
( sQ242_spl
| ~ sQ66_spl
| op(e3,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f1744,f2515]) ).
fof(f9435,plain,
( sQ276_spl
| ~ sQ38_spl
| ~ sQ66_spl ),
inference(split_clause,[status(thm)],[f9246,f1743,f1653,f2709]) ).
fof(f9475,plain,
( ~ sQ235_spl
| ~ sQ108_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f7269,f1903,f1877,f2483]) ).
fof(f9522,plain,
( ~ sQ117_spl
| op(e3,e3) != e2 ),
inference(forward_demodulation,[status(thm)],[f1907,f135]) ).
fof(f9618,plain,
( ~ sQ167_spl
| ~ sQ38_spl
| op(e3,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f1654,f2164]) ).
fof(f9629,plain,
( ~ sQ276_spl
| ~ sQ38_spl
| op(e2,e3) = e1 ),
inference(forward_demodulation,[status(thm)],[f1654,f2710]) ).
fof(f9677,plain,
( sQ66_spl
| ~ sQ276_spl
| ~ sQ38_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f9629,f1745]) ).
fof(f9678,plain,
( sQ66_spl
| ~ sQ276_spl
| ~ sQ38_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9677]) ).
fof(f9679,plain,
( sQ66_spl
| ~ sQ276_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f9678]) ).
fof(f9732,plain,
( ~ sQ47_spl
| op(e1,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f1683,f162]) ).
fof(f9809,plain,
( ~ sQ167_spl
| ~ sQ38_spl
| e2 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f9618,f181]) ).
fof(f9842,plain,
( ~ sQ137_spl
| ~ sQ73_spl
| op(e2,e3) = e4 ),
inference(forward_demodulation,[status(thm)],[f1766,f2029]) ).
fof(f9843,plain,
( ~ sQ137_spl
| ~ sQ73_spl
| ~ sQ65_spl
| e0 = e4 ),
inference(forward_demodulation,[status(thm)],[f1741,f9842]) ).
fof(f9844,plain,
( ~ sQ137_spl
| ~ sQ73_spl
| ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9843,f199]) ).
fof(f9845,plain,
( ~ sQ137_spl
| ~ sQ73_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f9844]) ).
fof(f9908,plain,
( sQ137_spl
| ~ sQ73_spl
| op(e2,e3) != e4 ),
inference(forward_demodulation,[status(thm)],[f1766,f2030]) ).
fof(f9910,plain,
( sQ138_spl
| ~ sQ73_spl
| op(e4,e3) != e2 ),
inference(forward_demodulation,[status(thm)],[f1766,f2033]) ).
fof(f9911,plain,
( sQ138_spl
| ~ sQ73_spl
| ~ sQ117_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f1907,f9910]) ).
fof(f9912,plain,
( sQ138_spl
| ~ sQ73_spl
| ~ sQ117_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9911]) ).
fof(f9913,plain,
( sQ138_spl
| ~ sQ73_spl
| ~ sQ117_spl ),
inference(contradiction_clause,[status(thm)],[f9912]) ).
fof(f9918,plain,
( ~ sQ211_spl
| ~ sQ117_spl
| op(e4,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f1907,f2326]) ).
fof(f9919,plain,
( ~ sQ211_spl
| ~ sQ117_spl
| ~ sQ110_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f1885,f9918]) ).
fof(f9920,plain,
( ~ sQ211_spl
| ~ sQ117_spl
| ~ sQ110_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9919,f198]) ).
fof(f9921,plain,
( ~ sQ211_spl
| ~ sQ117_spl
| ~ sQ110_spl ),
inference(contradiction_clause,[status(thm)],[f9920]) ).
fof(f9924,plain,
( sQ254_spl
| ~ sQ167_spl
| ~ sQ38_spl
| op(e1,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f9618,f2594]) ).
fof(f9925,plain,
( sQ254_spl
| ~ sQ167_spl
| ~ sQ38_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f1654,f9924]) ).
fof(f9926,plain,
( sQ254_spl
| ~ sQ167_spl
| ~ sQ38_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9925]) ).
fof(f9927,plain,
( sQ254_spl
| ~ sQ167_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f9926]) ).
fof(f9928,plain,
( sQ236_spl
| ~ sQ108_spl
| op(e1,e3) != e4 ),
inference(forward_demodulation,[status(thm)],[f1878,f2488]) ).
fof(f9929,plain,
( sQ236_spl
| ~ sQ108_spl
| ~ sQ44_spl
| e4 != e4 ),
inference(forward_demodulation,[status(thm)],[f1673,f9928]) ).
fof(f9930,plain,
( sQ236_spl
| ~ sQ108_spl
| ~ sQ44_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9929]) ).
fof(f9931,plain,
( sQ236_spl
| ~ sQ108_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f9930]) ).
fof(f9948,plain,
( sQ212_spl
| ~ sQ117_spl
| op(e3,e2) != e4 ),
inference(forward_demodulation,[status(thm)],[f1907,f2330]) ).
fof(f9949,plain,
( sQ212_spl
| ~ sQ117_spl
| ~ sQ89_spl
| e4 != e4 ),
inference(forward_demodulation,[status(thm)],[f1817,f9948]) ).
fof(f9950,plain,
( sQ212_spl
| ~ sQ117_spl
| ~ sQ89_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9949]) ).
fof(f9951,plain,
( sQ212_spl
| ~ sQ117_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f9950]) ).
fof(f9959,plain,
( ~ sQ85_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f8585,f1836,f1804]) ).
fof(f9984,plain,
( ~ sQ180_spl
| ~ sQ65_spl
| e0 != op(e3,e4) ),
inference(forward_demodulation,[status(thm)],[f1741,f3681]) ).
fof(f9985,plain,
( ~ sQ180_spl
| ~ sQ65_spl
| ~ sQ95_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f1837,f9984]) ).
fof(f9986,plain,
( ~ sQ180_spl
| ~ sQ65_spl
| ~ sQ95_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9985]) ).
fof(f9987,plain,
( ~ sQ180_spl
| ~ sQ65_spl
| ~ sQ95_spl ),
inference(contradiction_clause,[status(thm)],[f9986]) ).
fof(f9988,plain,
( ~ sQ212_spl
| ~ sQ117_spl
| op(e3,e2) = e4 ),
inference(forward_demodulation,[status(thm)],[f1907,f2329]) ).
fof(f9991,plain,
( ~ sQ222_spl
| ~ sQ110_spl
| op(e4,e0) = e2 ),
inference(backward_demodulation,[status(thm)],[f1885,f2400]) ).
fof(f9997,plain,
( ~ sQ238_spl
| ~ sQ89_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f8182,f1842,f1816,f2497]) ).
fof(f9998,plain,
( ~ sQ238_spl
| ~ sQ212_spl
| ~ sQ117_spl
| op(e3,e4) = e2 ),
inference(forward_demodulation,[status(thm)],[f9988,f2498]) ).
fof(f9999,plain,
( ~ sQ238_spl
| ~ sQ212_spl
| ~ sQ117_spl
| ~ sQ95_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f1837,f9998]) ).
fof(f10000,plain,
( ~ sQ238_spl
| ~ sQ212_spl
| ~ sQ117_spl
| ~ sQ95_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9999,f197]) ).
fof(f10001,plain,
( ~ sQ238_spl
| ~ sQ212_spl
| ~ sQ117_spl
| ~ sQ95_spl ),
inference(contradiction_clause,[status(thm)],[f10000]) ).
fof(f10004,plain,
( ~ sQ222_spl
| ~ sQ110_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f9991,f1858,f1884,f2399]) ).
fof(f10006,plain,
( sQ239_spl
| ~ sQ212_spl
| ~ sQ117_spl
| op(e2,e4) != e3 ),
inference(forward_demodulation,[status(thm)],[f9988,f2502]) ).
fof(f10007,plain,
( sQ239_spl
| ~ sQ212_spl
| ~ sQ117_spl
| ~ sQ73_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f1766,f10006]) ).
fof(f10008,plain,
( sQ239_spl
| ~ sQ212_spl
| ~ sQ117_spl
| ~ sQ73_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f10007]) ).
fof(f10009,plain,
( sQ239_spl
| ~ sQ212_spl
| ~ sQ117_spl
| ~ sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f10008]) ).
fof(f10010,plain,
( sQ239_spl
| ~ sQ89_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f8226,f1765,f1816,f2500]) ).
fof(f10014,plain,
( ~ sQ169_spl
| ~ sQ42_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f5637,f1743,f1666,f2170]) ).
fof(f10018,plain,
( sQ239_spl
| ~ sQ180_spl
| ~ sQ241_spl ),
inference(split_clause,[status(thm)],[f9356,f2510,f2208,f2500]) ).
fof(f10019,plain,
( sQ137_spl
| ~ sQ73_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f9908,f1752,f1765,f2028]) ).
fof(f10022,plain,
( ~ sQ180_spl
| ~ sQ96_spl
| op(e2,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f1840,f3681]) ).
fof(f10027,plain,
( ~ sQ96_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f8038,f1823,f1839]) ).
fof(f10065,plain,
( ~ sQ69_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f9156,f1912,f1752]) ).
fof(f10081,plain,
( ~ sQ82_spl
| op(e1,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f1795,f111]) ).
fof(f10174,plain,
( sQ242_spl
| ~ sQ66_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f9433,f1794,f1743,f2513]) ).
fof(f10240,plain,
( ~ sQ117_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f9522,f1826,f1906]) ).
fof(f10241,plain,
( ~ sQ167_spl
| ~ sQ38_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f9809,f1826,f1653,f2163]) ).
fof(f10262,plain,
( ~ sQ40_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f8408,f1740,f1660]) ).
fof(f10316,plain,
( ~ sQ180_spl
| ~ sQ65_spl
| op(e3,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f1741,f3683]) ).
fof(f10317,plain,
( ~ sQ85_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f5294,f1788,f1804]) ).
fof(f10318,plain,
( ~ sQ167_spl
| ~ sQ38_spl
| sQ82_spl ),
inference(split_clause,[status(thm)],[f9618,f1794,f1653,f2163]) ).
fof(f10322,plain,
( ~ sQ66_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f8064,f1711,f1743]) ).
fof(f10324,plain,
( ~ sQ180_spl
| ~ sQ96_spl
| ~ sQ66_spl ),
inference(split_clause,[status(thm)],[f10022,f1743,f1839,f2208]) ).
fof(f10343,plain,
( ~ sQ180_spl
| ~ sQ66_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f7198,f1887,f1743,f2208]) ).
fof(f10351,plain,
( sQ168_spl
| ~ sQ40_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f8402,f1788,f1660,f2167]) ).
fof(f10352,plain,
( ~ sQ80_spl
| ~ sQ180_spl
| ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1789,f10316]) ).
fof(f10353,plain,
( ~ sQ80_spl
| ~ sQ180_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f10352]) ).
fof(f10397,plain,
( ~ sQ254_spl
| ~ sQ82_spl
| op(e1,e2) = e3 ),
inference(backward_demodulation,[status(thm)],[f1795,f2593]) ).
fof(f10477,plain,
( ~ sQ122_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f4602,f1906,f1922]) ).
fof(f10480,plain,
( ~ sQ122_spl
| ~ sQ120_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f1917,f1923]) ).
fof(f10481,plain,
( ~ sQ122_spl
| ~ sQ120_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10480,f197]) ).
fof(f10482,plain,
( ~ sQ122_spl
| ~ sQ120_spl ),
inference(contradiction_clause,[status(thm)],[f10481]) ).
fof(f10510,plain,
( ~ sQ47_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f9732,f1634,f1682]) ).
fof(f10511,plain,
( ~ sQ82_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f10081,f1634,f1794]) ).
fof(f10556,plain,
( sQ167_spl
| ~ sQ38_spl
| op(e3,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f1654,f2165]) ).
fof(f10557,plain,
( sQ167_spl
| ~ sQ38_spl
| ~ sQ82_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f1795,f10556]) ).
fof(f10558,plain,
( sQ167_spl
| ~ sQ38_spl
| ~ sQ82_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f10557]) ).
fof(f10559,plain,
( sQ167_spl
| ~ sQ38_spl
| ~ sQ82_spl ),
inference(contradiction_clause,[status(thm)],[f10558]) ).
fof(f10571,plain,
( ~ sQ259_spl
| ~ sQ44_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f5898,f1685,f1672,f2615]) ).
fof(f10675,plain,
( ~ sQ259_spl
| ~ sQ44_spl
| op(e1,e4) = e3 ),
inference(forward_demodulation,[status(thm)],[f1673,f2616]) ).
fof(f10676,plain,
( ~ sQ259_spl
| ~ sQ44_spl
| ~ sQ45_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f1677,f10675]) ).
fof(f10677,plain,
( ~ sQ259_spl
| ~ sQ44_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10676,f198]) ).
fof(f10678,plain,
( ~ sQ259_spl
| ~ sQ44_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f10677]) ).
fof(f10681,plain,
( ~ sQ196_spl
| ~ sQ96_spl
| op(e1,e3) = e4 ),
inference(forward_demodulation,[status(thm)],[f1840,f2263]) ).
fof(f10716,plain,
( sQ140_spl
| ~ sQ96_spl
| op(e4,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f1840,f2040]) ).
fof(f10717,plain,
( sQ140_spl
| ~ sQ96_spl
| ~ sQ108_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f1878,f10716]) ).
fof(f10718,plain,
( sQ140_spl
| ~ sQ96_spl
| ~ sQ108_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f10717]) ).
fof(f10719,plain,
( sQ140_spl
| ~ sQ96_spl
| ~ sQ108_spl ),
inference(contradiction_clause,[status(thm)],[f10718]) ).
fof(f10730,plain,
( ~ sQ241_spl
| ~ sQ69_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f8785,f1765,f1752,f2510]) ).
fof(f10942,plain,
( sQ188_spl
| ~ sQ84_spl
| op(e4,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f1801,f2237]) ).
fof(f11008,plain,
( ~ sQ241_spl
| ~ sQ69_spl
| op(e2,e4) = e3 ),
inference(forward_demodulation,[status(thm)],[f1753,f2511]) ).
fof(f11009,plain,
( ~ sQ241_spl
| ~ sQ69_spl
| ~ sQ70_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f1757,f11008]) ).
fof(f11010,plain,
( ~ sQ241_spl
| ~ sQ69_spl
| ~ sQ70_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11009,f198]) ).
fof(f11011,plain,
( ~ sQ241_spl
| ~ sQ69_spl
| ~ sQ70_spl ),
inference(contradiction_clause,[status(thm)],[f11010]) ).
fof(f11019,plain,
( ~ sQ272_spl
| ~ sQ58_spl
| op(e1,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f1718,f2694]) ).
fof(f11052,plain,
( sQ242_spl
| ~ sQ69_spl
| op(e3,e4) != e2 ),
inference(forward_demodulation,[status(thm)],[f1753,f2515]) ).
fof(f11053,plain,
( sQ242_spl
| ~ sQ69_spl
| ~ sQ97_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f1843,f11052]) ).
fof(f11054,plain,
( sQ242_spl
| ~ sQ69_spl
| ~ sQ97_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f11053]) ).
fof(f11055,plain,
( sQ242_spl
| ~ sQ69_spl
| ~ sQ97_spl ),
inference(contradiction_clause,[status(thm)],[f11054]) ).
fof(f11056,plain,
( sQ136_spl
| ~ sQ48_spl
| op(e4,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f1686,f2026]) ).
fof(f11063,plain,
( sQ140_spl
| ~ sQ97_spl
| op(e4,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f1843,f2040]) ).
fof(f11064,plain,
( sQ140_spl
| ~ sQ97_spl
| ~ sQ113_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f1894,f11063]) ).
fof(f11065,plain,
( sQ140_spl
| ~ sQ97_spl
| ~ sQ113_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f11064]) ).
fof(f11066,plain,
( sQ140_spl
| ~ sQ97_spl
| ~ sQ113_spl ),
inference(contradiction_clause,[status(thm)],[f11065]) ).
fof(f11257,plain,
( ~ sQ167_spl
| ~ sQ35_spl
| op(e0,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f1645,f2164]) ).
fof(f11258,plain,
( ~ sQ167_spl
| ~ sQ35_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f3652,f11257]) ).
fof(f11259,plain,
( ~ sQ167_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11258,f200]) ).
fof(f11260,plain,
( ~ sQ167_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f11259]) ).
fof(f11273,plain,
( sQ272_spl
| ~ sQ58_spl
| op(e1,e3) != e2 ),
inference(forward_demodulation,[status(thm)],[f1718,f2695]) ).
fof(f11274,plain,
( sQ272_spl
| ~ sQ58_spl
| ~ sQ42_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f1667,f11273]) ).
fof(f11275,plain,
( sQ272_spl
| ~ sQ58_spl
| ~ sQ42_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f11274]) ).
fof(f11276,plain,
( sQ272_spl
| ~ sQ58_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f11275]) ).
fof(f11298,plain,
( sQ239_spl
| ~ sQ86_spl
| op(e2,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f1808,f2502]) ).
fof(f11299,plain,
( sQ239_spl
| ~ sQ86_spl
| ~ sQ58_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f1718,f11298]) ).
fof(f11300,plain,
( sQ239_spl
| ~ sQ86_spl
| ~ sQ58_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f11299]) ).
fof(f11301,plain,
( sQ239_spl
| ~ sQ86_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f11300]) ).
fof(f11331,plain,
( ~ sQ196_spl
| ~ sQ96_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f10681,f1672,f1839,f2262]) ).
fof(f11439,plain,
( ~ sQ254_spl
| ~ sQ82_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f10397,f1653,f1794,f2592]) ).
fof(f11477,plain,
( ~ sQ275_spl
| ~ sQ39_spl
| sQ47_spl ),
inference(split_clause,[status(thm)],[f7924,f1682,f1656,f2706]) ).
fof(f11595,plain,
( ~ sQ271_spl
| ~ sQ58_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f4309,f1743,f1717,f2690]) ).
fof(f11600,plain,
( ~ sQ177_spl
| ~ sQ58_spl
| sQ86_spl ),
inference(split_clause,[status(thm)],[f6016,f1807,f1717,f2197]) ).
fof(f11624,plain,
( ~ sQ202_spl
| ~ sQ113_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f4180,f1842,f1893,f2283]) ).
fof(f11829,plain,
( ~ sQ236_spl
| ~ sQ105_spl
| op(e1,e0) = e4 ),
inference(forward_demodulation,[status(thm)],[f1869,f2487]) ).
fof(f11830,plain,
( ~ sQ236_spl
| ~ sQ105_spl
| e1 = e4 ),
inference(forward_demodulation,[status(thm)],[f3651,f11829]) ).
fof(f11831,plain,
( ~ sQ236_spl
| ~ sQ105_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11830,f202]) ).
fof(f11832,plain,
( ~ sQ236_spl
| ~ sQ105_spl ),
inference(contradiction_clause,[status(thm)],[f11831]) ).
fof(f11834,plain,
( sQ115_spl
| ~ sQ194_spl
| op(e3,e4) != e0 ),
inference(backward_demodulation,[status(thm)],[f2257,f1902]) ).
fof(f11837,plain,
( ~ sQ194_spl
| op(e1,e3) != op(e3,e4) ),
inference(backward_demodulation,[status(thm)],[f2257,f132]) ).
fof(f11867,plain,
( sQ188_spl
| ~ sQ84_spl
| ~ sQ171_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f8829,f1685,f2177,f1800,f2235]) ).
fof(f11936,plain,
( ~ sQ184_spl
| ~ sQ71_spl
| sQ47_spl ),
inference(split_clause,[status(thm)],[f9034,f1682,f1759,f2221]) ).
fof(f11968,plain,
( sQ188_spl
| ~ sQ84_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f10942,f1877,f1800,f2235]) ).
fof(f12092,plain,
( ~ sQ167_spl
| ~ sQ39_spl
| op(e4,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f1657,f2164]) ).
fof(f12108,plain,
( sQ200_spl
| ~ sQ167_spl
| ~ sQ39_spl
| op(e2,e4) != e1 ),
inference(forward_demodulation,[status(thm)],[f12092,f2278]) ).
fof(f12109,plain,
( sQ200_spl
| ~ sQ167_spl
| ~ sQ39_spl
| ~ sQ276_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f7871,f12108]) ).
fof(f12110,plain,
( sQ200_spl
| ~ sQ167_spl
| ~ sQ39_spl
| ~ sQ276_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f12109]) ).
fof(f12111,plain,
( sQ200_spl
| ~ sQ167_spl
| ~ sQ39_spl
| ~ sQ276_spl ),
inference(contradiction_clause,[status(thm)],[f12110]) ).
fof(f12138,plain,
( ~ sQ194_spl
| ~ sQ40_spl
| e0 != op(e3,e4) ),
inference(forward_demodulation,[status(thm)],[f1661,f11837]) ).
fof(f12224,plain,
( ~ sQ165_spl
| ~ sQ39_spl
| e4 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f1657,f3700]) ).
fof(f12225,plain,
( ~ sQ165_spl
| ~ sQ39_spl
| ~ sQ69_spl
| e4 != e4 ),
inference(forward_demodulation,[status(thm)],[f1753,f12224]) ).
fof(f12226,plain,
( ~ sQ165_spl
| ~ sQ39_spl
| ~ sQ69_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f12225]) ).
fof(f12227,plain,
( ~ sQ165_spl
| ~ sQ39_spl
| ~ sQ69_spl ),
inference(contradiction_clause,[status(thm)],[f12226]) ).
fof(f12233,plain,
( ~ sQ180_spl
| ~ sQ39_spl
| e4 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f1657,f3686]) ).
fof(f12234,plain,
( ~ sQ180_spl
| ~ sQ39_spl
| ~ sQ69_spl
| e4 != e4 ),
inference(forward_demodulation,[status(thm)],[f1753,f12233]) ).
fof(f12235,plain,
( ~ sQ180_spl
| ~ sQ39_spl
| ~ sQ69_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f12234]) ).
fof(f12236,plain,
( ~ sQ180_spl
| ~ sQ39_spl
| ~ sQ69_spl ),
inference(contradiction_clause,[status(thm)],[f12235]) ).
fof(f12243,plain,
( sQ166_spl
| ~ sQ39_spl
| op(e4,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f1657,f2162]) ).
fof(f12244,plain,
( sQ166_spl
| ~ sQ39_spl
| ~ sQ183_spl
| ~ sQ71_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f8861,f12243]) ).
fof(f12245,plain,
( sQ166_spl
| ~ sQ39_spl
| ~ sQ183_spl
| ~ sQ71_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f12244]) ).
fof(f12246,plain,
( sQ166_spl
| ~ sQ39_spl
| ~ sQ183_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f12245]) ).
fof(f12253,plain,
( ~ sQ272_spl
| ~ sQ58_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f11019,f1666,f1717,f2693]) ).
fof(f12258,plain,
( ~ sQ272_spl
| ~ sQ58_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f5587,f1826,f1717,f2693]) ).
fof(f12301,plain,
( ~ sQ194_spl
| ~ sQ40_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f12138,f1836,f1660,f2256]) ).
fof(f12302,plain,
( sQ115_spl
| ~ sQ194_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f11834,f1836,f2256,f1900]) ).
fof(f12303,plain,
( sQ136_spl
| ~ sQ48_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f11056,f1903,f1685,f2024]) ).
fof(f12341,plain,
( ~ sQ194_spl
| ~ sQ116_spl
| ~ sQ71_spl ),
inference(split_clause,[status(thm)],[f4814,f1759,f1903,f2256]) ).
fof(f12399,plain,
( ~ sQ167_spl
| ~ sQ39_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f12092,f1874,f1656,f2163]) ).
fof(f12492,plain,
( ~ sQ135_spl
| ~ sQ48_spl
| op(e1,e3) = e4 ),
inference(forward_demodulation,[status(thm)],[f1686,f2022]) ).
fof(f12493,plain,
( ~ sQ135_spl
| ~ sQ48_spl
| ~ sQ40_spl
| e0 = e4 ),
inference(forward_demodulation,[status(thm)],[f1661,f12492]) ).
fof(f12494,plain,
( ~ sQ135_spl
| ~ sQ48_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f12493,f199]) ).
fof(f12495,plain,
( ~ sQ135_spl
| ~ sQ48_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f12494]) ).
fof(f12517,plain,
( ~ sQ211_spl
| ~ sQ116_spl
| op(e4,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f1904,f2326]) ).
fof(f12518,plain,
( ~ sQ211_spl
| ~ sQ116_spl
| ~ sQ105_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f1869,f12517]) ).
fof(f12519,plain,
( ~ sQ211_spl
| ~ sQ116_spl
| ~ sQ105_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f12518,f198]) ).
fof(f12520,plain,
( ~ sQ211_spl
| ~ sQ116_spl
| ~ sQ105_spl ),
inference(contradiction_clause,[status(thm)],[f12519]) ).
fof(f12524,plain,
( sQ212_spl
| ~ sQ116_spl
| op(e3,e1) != e4 ),
inference(forward_demodulation,[status(thm)],[f1904,f2330]) ).
fof(f12525,plain,
( sQ212_spl
| ~ sQ116_spl
| ~ sQ84_spl
| e4 != e4 ),
inference(forward_demodulation,[status(thm)],[f1801,f12524]) ).
fof(f12526,plain,
( sQ212_spl
| ~ sQ116_spl
| ~ sQ84_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f12525]) ).
fof(f12527,plain,
( sQ212_spl
| ~ sQ116_spl
| ~ sQ84_spl ),
inference(contradiction_clause,[status(thm)],[f12526]) ).
fof(f12528,plain,
( ~ sQ97_spl
| ~ sQ95_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f1837,f1843]) ).
fof(f12529,plain,
( ~ sQ97_spl
| ~ sQ95_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f12528,f197]) ).
fof(f12530,plain,
( ~ sQ97_spl
| ~ sQ95_spl ),
inference(contradiction_clause,[status(thm)],[f12529]) ).
fof(f12531,plain,
( sQ254_spl
| ~ sQ84_spl
| op(e1,e4) != e3 ),
inference(forward_demodulation,[status(thm)],[f1801,f2594]) ).
fof(f12532,plain,
( sQ254_spl
| ~ sQ84_spl
| ~ sQ48_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f1686,f12531]) ).
fof(f12533,plain,
( sQ254_spl
| ~ sQ84_spl
| ~ sQ48_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f12532]) ).
fof(f12534,plain,
( sQ254_spl
| ~ sQ84_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f12533]) ).
fof(f12535,plain,
( ~ sQ92_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f6971,f1842,f1826]) ).
fof(f12666,plain,
$false,
inference(sat_refutation,[status(thm)],[f1595,f1643,f1659,f1675,f1691,f1723,f1739,f1755,f1771,f1787,f1803,f1819,f1835,f1851,f1883,f1899,f1915,f1931,f1947,f1948,f1950,f1958,f1959,f1962,f1963,f1964,f1965,f1966,f1967,f1968,f1969,f1970,f1971,f1972,f1974,f1975,f1976,f1977,f1978,f1979,f1980,f1981,f1982,f1983,f1986,f1987,f1989,f1990,f1991,f1992,f1993,f1994,f1995,f2001,f2002,f2003,f2004,f2009,f2020,f2027,f2034,f2041,f2054,f2059,f2064,f2069,f2074,f2075,f2078,f2079,f2080,f2084,f2085,f2090,f2092,f2094,f2166,f2217,f2227,f2248,f2265,f2279,f2286,f2293,f2304,f2305,f2306,f2308,f2309,f2310,f2314,f2324,f2331,f2332,f2340,f2346,f2347,f2348,f2349,f2354,f2355,f2356,f2362,f2364,f2370,f2371,f2379,f2381,f2382,f2383,f2384,f2388,f2390,f2398,f2405,f2406,f2407,f2412,f2417,f2418,f2424,f2430,f2431,f2432,f2438,f2440,f2446,f2447,f2448,f2454,f2456,f2464,f2465,f2466,f2468,f2472,f2474,f2482,f2489,f2490,f2491,f2492,f2496,f2503,f2504,f2505,f2509,f2516,f2518,f2524,f2530,f2532,f2538,f2539,f2540,f2546,f2547,f2548,f2554,f2556,f2559,f2568,f2569,f2570,f2575,f2588,f2595,f2596,f2597,f2601,f2606,f2607,f2621,f2622,f2623,f2631,f2637,f2639,f2645,f2647,f2653,f2655,f2662,f2663,f2664,f2669,f2671,f2676,f2683,f2689,f2696,f2698,f2712,f2714,f2722,f2728,f2729,f2730,f2731,f2736,f2737,f2738,f2744,f2746,f2752,f2754,f2760,f2762,f2767,f2774,f2775,f2788,f2789,f2797,f2803,f2805,f2806,f2811,f2813,f2814,f2819,f2821,f2827,f2829,f2830,f2835,f2837,f2838,f2849,f2850,f2852,f2859,f2865,f2866,f2867,f2868,f2873,f2875,f2881,f2883,f2889,f2890,f2891,f2892,f2897,f2899,f2906,f2912,f2914,f2920,f2921,f2922,f2928,f2930,f2936,f2937,f2938,f2939,f2945,f2946,f2953,f2959,f2961,f2967,f2969,f2976,f2977,f2978,f2983,f2985,f2991,f2993,f2994,f3000,f3006,f3007,f3008,f3014,f3016,f3022,f3023,f3024,f3030,f3032,f3038,f3040,f3041,f3047,f3053,f3054,f3055,f3056,f3061,f3063,f3069,f3071,f3077,f3078,f3079,f3080,f3085,f3087,f3094,f3100,f3102,f3103,f3108,f3110,f3116,f3118,f3124,f3126,f3127,f3132,f3134,f3141,f3147,f3149,f3155,f3157,f3163,f3164,f3165,f3166,f3171,f3172,f3173,f3174,f3180,f3181,f3188,f3194,f3196,f3203,f3204,f3205,f3210,f3212,f3218,f3220,f3226,f3228,f3229,f3235,f3241,f3243,f3249,f3250,f3251,f3252,f3257,f3258,f3259,f3260,f3265,f3267,f3273,f3275,f3276,f3282,f3288,f3290,f3296,f3297,f3298,f3299,f3304,f3306,f3312,f3313,f3314,f3315,f3320,f3322,f3323,f3329,f3335,f3337,f3343,f3345,f3351,f3352,f3353,f3354,f3359,f3360,f3361,f3362,f3367,f3369,f3376,f3382,f3384,f3390,f3393,f3398,f3400,f3401,f3406,f3408,f3409,f3415,f3416,f3423,f3430,f3432,f3437,f3445,f3447,f3453,f3455,f3461,f3463,f3464,f3470,f3476,f3484,f3492,f3494,f3501,f3502,f3508,f3511,f3517,f3523,f3531,f3540,f3541,f3547,f3549,f3555,f3564,f3570,f3579,f3586,f3588,f3594,f3596,f3601,f3610,f3614,f3621,f3629,f3633,f3637,f3641,f3727,f3738,f3740,f3749,f3752,f3754,f3757,f3759,f3762,f3769,f3771,f3779,f3784,f3787,f3790,f3832,f3839,f3860,f3874,f3884,f3887,f3915,f3918,f3921,f3924,f3927,f3930,f3977,f4037,f4039,f4043,f4045,f4053,f4098,f4111,f4160,f4214,f4251,f4261,f4264,f4282,f4291,f4299,f4302,f4308,f4324,f4337,f4357,f4368,f4379,f4380,f4381,f4382,f4383,f4389,f4410,f4422,f4429,f4455,f4460,f4463,f4466,f4473,f4479,f4480,f4508,f4532,f4543,f4551,f4559,f4566,f4570,f4577,f4578,f4595,f4611,f4627,f4631,f4638,f4641,f4656,f4671,f4673,f4677,f4695,f4715,f4717,f4718,f4728,f4729,f4739,f4758,f4759,f4760,f4761,f4809,f4829,f4833,f4837,f4838,f4855,f4856,f4896,f4901,f4904,f4905,f4916,f4926,f4929,f4939,f4950,f4956,f4978,f4981,f4982,f4990,f5017,f5049,f5052,f5053,f5055,f5079,f5081,f5082,f5086,f5089,f5090,f5093,f5107,f5110,f5114,f5118,f5126,f5137,f5163,f5183,f5184,f5185,f5191,f5196,f5204,f5207,f5214,f5227,f5231,f5232,f5236,f5237,f5248,f5260,f5274,f5275,f5278,f5289,f5319,f5345,f5348,f5350,f5359,f5362,f5366,f5367,f5368,f5372,f5375,f5378,f5381,f5396,f5398,f5399,f5435,f5458,f5488,f5499,f5509,f5511,f5512,f5513,f5515,f5524,f5543,f5544,f5545,f5546,f5570,f5588,f5600,f5666,f5670,f5698,f5716,f5719,f5724,f5733,f5735,f5744,f5797,f5837,f5855,f5861,f5871,f5891,f5901,f5915,f5919,f5933,f5970,f5984,f6004,f6021,f6046,f6047,f6056,f6070,f6104,f6112,f6119,f6139,f6140,f6142,f6148,f6155,f6164,f6166,f6167,f6175,f6210,f6238,f6247,f6249,f6255,f6270,f6281,f6293,f6301,f6306,f6313,f6316,f6328,f6329,f6339,f6341,f6348,f6350,f6362,f6373,f6375,f6379,f6400,f6402,f6406,f6407,f6409,f6418,f6435,f6437,f6444,f6455,f6481,f6504,f6508,f6659,f6670,f6684,f6689,f6724,f6726,f6745,f6749,f6762,f6782,f6790,f6794,f6798,f6810,f6838,f6879,f6883,f6888,f6918,f7009,f7012,f7041,f7088,f7102,f7120,f7131,f7154,f7180,f7190,f7205,f7259,f7261,f7313,f7362,f7409,f7414,f7428,f7450,f7454,f7467,f7470,f7472,f7555,f7561,f7566,f7571,f7574,f7631,f7681,f7694,f7695,f7706,f7724,f7729,f7738,f7753,f7837,f7874,f7878,f7888,f7889,f7896,f7916,f7920,f7927,f7943,f7947,f7976,f8014,f8058,f8114,f8185,f8189,f8194,f8212,f8233,f8234,f8315,f8337,f8343,f8365,f8378,f8384,f8390,f8410,f8426,f8441,f8457,f8476,f8492,f8532,f8560,f8564,f8790,f8794,f8818,f8819,f8831,f8833,f8836,f8934,f9062,f9063,f9076,f9079,f9091,f9130,f9164,f9182,f9212,f9223,f9304,f9312,f9319,f9334,f9344,f9351,f9352,f9435,f9475,f9679,f9845,f9913,f9921,f9927,f9931,f9951,f9959,f9987,f9997,f10001,f10004,f10009,f10010,f10014,f10018,f10019,f10027,f10065,f10174,f10240,f10241,f10262,f10317,f10318,f10322,f10324,f10343,f10351,f10353,f10477,f10482,f10510,f10511,f10559,f10571,f10678,f10719,f10730,f11011,f11055,f11066,f11260,f11276,f11301,f11331,f11439,f11477,f11595,f11600,f11624,f11832,f11867,f11936,f11968,f12111,f12227,f12236,f12246,f12253,f12258,f12301,f12302,f12303,f12341,f12399,f12495,f12520,f12527,f12530,f12534,f12535]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG047+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n018.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 12:56:30 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.15/0.41 % Drodi V4.1.1
% 5.10/2.22 % Refutation found
% 5.10/2.22 % SZS status Theorem for theBenchmark: Theorem is valid
% 5.10/2.22 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 5.10/2.24 % Elapsed time: 1.874093 seconds
% 5.10/2.24 % CPU time: 14.110853 seconds
% 5.10/2.24 % Total memory used: 215.352 MB
% 5.10/2.24 % Net memory used: 213.634 MB
%------------------------------------------------------------------------------