%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG151+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 : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 11:48:38 AM UTC 2026
% Result : Unsatisfiable 0.15s 10.79s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 241
% Syntax : Number of formulae : 1977 ( 55 unt; 212 def)
% Number of atoms : 7842 (3914 equ)
% Maximal formula atoms : 208 ( 3 avg)
% Number of connectives : 10523 (4658 ~;4291 |;1328 &)
% ( 246 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 214 ( 212 usr; 213 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 )
& ( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 )
& ( op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 )
& ( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 )
& ( op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 )
& ( op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 )
& ( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 )
& ( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 )
& ( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 )
& ( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 )
& ( op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 )
& ( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 )
& ( op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 )
& ( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 )
& ( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 )
& ( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
( ( op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 )
& ( op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 )
& ( op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 )
& ( op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 )
& ( op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 )
& ( op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 )
& ( op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 )
& ( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 )
& ( op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 )
& ( op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 )
& ( op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 )
& ( op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 )
& ( op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 )
& ( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 )
& ( op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 )
& ( op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 )
& ( op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 )
& ( op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 )
& ( op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 )
& ( op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 )
& ( op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 )
& ( op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 )
& ( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 )
& ( op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 )
& ( op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 )
& ( op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 )
& ( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 )
& ( op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 )
& ( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 )
& ( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 )
& ( op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 )
& ( op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
( op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( e2 != e3
& e1 != e3
& e1 != e2
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( ( ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0
& op(e0,e0) = e0 ) )
& ( ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 )
& op(e3,op(e3,e3)) = e3
& op(e3,op(e3,e2)) = e2
& op(e3,op(e3,e1)) = e1
& op(e3,op(e3,e0)) = e0 )
| ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 )
& op(e2,op(e2,e3)) = e3
& op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e1)) = e1
& op(e2,op(e2,e0)) = e0 )
| ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e0)) = e0 )
| ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
~ ( e3 = op(op(e1,e1),op(e1,e1))
& e2 = op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
& e0 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
~ ( e2 = op(op(e1,e1),op(e1,e1))
& e3 = op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
& e0 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
~ ( e3 = op(op(e2,e2),op(e2,e2))
& e1 = op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
& e0 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
~ ( e1 = op(op(e2,e2),op(e2,e2))
& e3 = op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
& e0 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
~ ( e2 = op(op(e3,e3),op(e3,e3))
& e1 = op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
& e0 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
~ ( e1 = op(op(e3,e3),op(e3,e3))
& e2 = op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
& e0 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
~ ( e3 = op(op(e0,e0),op(e0,e0))
& e2 = op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
& e1 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
~ ( e2 = op(op(e0,e0),op(e0,e0))
& e3 = op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
& e1 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
~ ( e3 = op(op(e2,e2),op(e2,e2))
& e0 = op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
& e1 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
~ ( e0 = op(op(e2,e2),op(e2,e2))
& e3 = op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
& e1 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
~ ( e2 = op(op(e3,e3),op(e3,e3))
& e0 = op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
& e1 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
~ ( e0 = op(op(e3,e3),op(e3,e3))
& e2 = op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
& e1 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
~ ( e3 = op(op(e0,e0),op(e0,e0))
& e1 = op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
& e2 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
~ ( e1 = op(op(e0,e0),op(e0,e0))
& e3 = op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
& e2 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
~ ( e3 = op(op(e1,e1),op(e1,e1))
& e0 = op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
& e2 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
~ ( e0 = op(op(e1,e1),op(e1,e1))
& e3 = op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
& e2 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
~ ( e1 = op(op(e3,e3),op(e3,e3))
& e0 = op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
& e2 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
~ ( e0 = op(op(e3,e3),op(e3,e3))
& e1 = op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
& e2 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
~ ( e2 = op(op(e0,e0),op(e0,e0))
& e1 = op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
& e3 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
~ ( e1 = op(op(e0,e0),op(e0,e0))
& e2 = op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
& e3 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
~ ( e2 = op(op(e1,e1),op(e1,e1))
& e0 = op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
& e3 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
~ ( e0 = op(op(e1,e1),op(e1,e1))
& e2 = op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
& e3 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
~ ( e1 = op(op(e2,e2),op(e2,e2))
& e0 = op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
& e3 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
~ ( e0 = op(op(e2,e2),op(e2,e2))
& e1 = op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
& e3 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,plain,
( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f31,plain,
( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f32,plain,
( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f33,plain,
( op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f34,plain,
( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f35,plain,
( op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f36,plain,
( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f37,plain,
( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f38,plain,
( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f39,plain,
( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f40,plain,
( op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f41,plain,
( op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f42,plain,
( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f43,plain,
( op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f44,plain,
( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f45,plain,
( op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f46,plain,
( op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f47,plain,
( op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f48,plain,
( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f49,plain,
( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f50,plain,
( op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f51,plain,
( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f52,plain,
( op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f53,plain,
( op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f54,plain,
( op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f55,plain,
( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f56,plain,
( op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f57,plain,
( op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f58,plain,
( op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f59,plain,
( op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f60,plain,
( op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f61,plain,
( op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f62,plain,
( op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f63,plain,
( op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f64,plain,
( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f65,plain,
( op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f66,plain,
( op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f67,plain,
( op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f68,plain,
( op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f69,plain,
( op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f70,plain,
( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f71,plain,
( op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f72,plain,
( op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f73,plain,
( op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f74,plain,
( op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f75,plain,
( op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f76,plain,
( op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f77,plain,
( op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f78,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f79,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f80,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f81,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f82,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f83,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f84,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f85,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f86,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f87,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f88,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f89,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f90,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f91,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f92,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f93,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f94,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f95,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f96,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f97,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f98,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f99,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f100,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f101,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f102,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f103,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f104,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f105,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f106,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f107,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f108,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f109,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f110,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f111,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f112,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f113,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f114,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f115,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f116,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f117,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f118,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f119,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f120,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f121,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f122,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f123,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f124,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f125,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f126,plain,
e0 != e1,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f127,plain,
e0 != e2,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f128,plain,
e0 != e3,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f129,plain,
e1 != e2,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f130,plain,
e1 != e3,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f131,plain,
e2 != e3,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f132,definition,
( sP0_prd
<=> ( ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 )
& op(e2,op(e2,e3)) = e3
& op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e1)) = e1
& op(e2,op(e2,e0)) = e0 )
| ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e0)) = e0 )
| ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f133,definition,
( sP1_prd
<=> ( ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f134,plain,
( ( ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| sP1_prd )
& ( ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 )
& op(e3,op(e3,e3)) = e3
& op(e3,op(e3,e2)) = e2
& op(e3,op(e3,e1)) = e1
& op(e3,op(e3,e0)) = e0 )
| sP0_prd ) ),
inference(formula_renaming,[status(thm)],[f5,f133,f132]) ).
fof(f135,plain,
( op(e3,op(e3,e0)) = e0
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f136,plain,
( op(e3,op(e3,e1)) = e1
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f137,plain,
( op(e3,op(e3,e2)) = e2
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f138,plain,
( op(e3,op(e3,e3)) = e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f139,plain,
( op(e0,e3) = e0
| op(e0,e0) != e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f140,plain,
( op(e1,e3) = e1
| op(e1,e1) != e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f141,plain,
( op(e2,e3) = e2
| op(e2,e2) != e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f143,plain,
( op(e3,e3) = e3
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f145,plain,
( op(e3,e3) != e0
| op(e3,e0) != e3
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f146,plain,
( op(e3,e3) != e1
| op(e3,e1) != e3
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f147,plain,
( op(e3,e3) != e2
| op(e3,e2) != e3
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f148,plain,
( op(e3,e3) != e3
| op(e3,e3) != e3
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f149,plain,
( e3 != op(op(e1,e1),op(e1,e1))
| e2 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
| e0 != op(e1,e1) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f150,plain,
( e3 != op(op(e1,e1),op(e1,e1))
| e2 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
| e0 != op(e1,e1) ),
inference(cnf_transformation,[status(thm)],[f149]) ).
fof(f151,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| e3 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
| e0 != op(e1,e1) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f152,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| e3 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
| e0 != op(e1,e1) ),
inference(cnf_transformation,[status(thm)],[f151]) ).
fof(f153,plain,
( e3 != op(op(e2,e2),op(e2,e2))
| e1 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
| e0 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f154,plain,
( e3 != op(op(e2,e2),op(e2,e2))
| e1 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
| e0 != op(e2,e2) ),
inference(cnf_transformation,[status(thm)],[f153]) ).
fof(f155,plain,
( e1 != op(op(e2,e2),op(e2,e2))
| e3 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
| e0 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f156,plain,
( e1 != op(op(e2,e2),op(e2,e2))
| e3 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
| e0 != op(e2,e2) ),
inference(cnf_transformation,[status(thm)],[f155]) ).
fof(f157,plain,
( e2 != op(op(e3,e3),op(e3,e3))
| e1 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
| e0 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f158,plain,
( e2 != op(op(e3,e3),op(e3,e3))
| e1 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
| e0 != op(e3,e3) ),
inference(cnf_transformation,[status(thm)],[f157]) ).
fof(f159,plain,
( e1 != op(op(e3,e3),op(e3,e3))
| e2 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
| e0 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(thm)],[f11]) ).
fof(f160,plain,
( e1 != op(op(e3,e3),op(e3,e3))
| e2 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
| e0 != op(e3,e3) ),
inference(cnf_transformation,[status(thm)],[f159]) ).
fof(f161,plain,
( e3 != op(op(e0,e0),op(e0,e0))
| e2 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
| e1 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f162,plain,
( e3 != op(op(e0,e0),op(e0,e0))
| e2 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
| e1 != op(e0,e0) ),
inference(cnf_transformation,[status(thm)],[f161]) ).
fof(f163,plain,
( e2 != op(op(e0,e0),op(e0,e0))
| e3 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
| e1 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f164,plain,
( e2 != op(op(e0,e0),op(e0,e0))
| e3 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
| e1 != op(e0,e0) ),
inference(cnf_transformation,[status(thm)],[f163]) ).
fof(f165,plain,
( e3 != op(op(e2,e2),op(e2,e2))
| e0 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
| e1 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(thm)],[f14]) ).
fof(f166,plain,
( e3 != op(op(e2,e2),op(e2,e2))
| e0 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
| e1 != op(e2,e2) ),
inference(cnf_transformation,[status(thm)],[f165]) ).
fof(f167,plain,
( e0 != op(op(e2,e2),op(e2,e2))
| e3 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
| e1 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f168,plain,
( e0 != op(op(e2,e2),op(e2,e2))
| e3 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
| e1 != op(e2,e2) ),
inference(cnf_transformation,[status(thm)],[f167]) ).
fof(f169,plain,
( e2 != op(op(e3,e3),op(e3,e3))
| e0 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
| e1 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(thm)],[f16]) ).
fof(f170,plain,
( e2 != op(op(e3,e3),op(e3,e3))
| e0 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
| e1 != op(e3,e3) ),
inference(cnf_transformation,[status(thm)],[f169]) ).
fof(f171,plain,
( e0 != op(op(e3,e3),op(e3,e3))
| e2 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
| e1 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(thm)],[f17]) ).
fof(f172,plain,
( e0 != op(op(e3,e3),op(e3,e3))
| e2 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
| e1 != op(e3,e3) ),
inference(cnf_transformation,[status(thm)],[f171]) ).
fof(f173,plain,
( e3 != op(op(e0,e0),op(e0,e0))
| e1 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
| e2 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f174,plain,
( e3 != op(op(e0,e0),op(e0,e0))
| e1 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
| e2 != op(e0,e0) ),
inference(cnf_transformation,[status(thm)],[f173]) ).
fof(f175,plain,
( e1 != op(op(e0,e0),op(e0,e0))
| e3 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
| e2 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(thm)],[f19]) ).
fof(f176,plain,
( e1 != op(op(e0,e0),op(e0,e0))
| e3 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
| e2 != op(e0,e0) ),
inference(cnf_transformation,[status(thm)],[f175]) ).
fof(f177,plain,
( e3 != op(op(e1,e1),op(e1,e1))
| e0 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
| e2 != op(e1,e1) ),
inference(pre_NNF_transformation,[status(thm)],[f20]) ).
fof(f178,plain,
( e3 != op(op(e1,e1),op(e1,e1))
| e0 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
| e2 != op(e1,e1) ),
inference(cnf_transformation,[status(thm)],[f177]) ).
fof(f179,plain,
( e0 != op(op(e1,e1),op(e1,e1))
| e3 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
| e2 != op(e1,e1) ),
inference(pre_NNF_transformation,[status(thm)],[f21]) ).
fof(f180,plain,
( e0 != op(op(e1,e1),op(e1,e1))
| e3 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
| e2 != op(e1,e1) ),
inference(cnf_transformation,[status(thm)],[f179]) ).
fof(f181,plain,
( e1 != op(op(e3,e3),op(e3,e3))
| e0 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
| e2 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(thm)],[f22]) ).
fof(f182,plain,
( e1 != op(op(e3,e3),op(e3,e3))
| e0 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
| e2 != op(e3,e3) ),
inference(cnf_transformation,[status(thm)],[f181]) ).
fof(f183,plain,
( e0 != op(op(e3,e3),op(e3,e3))
| e1 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
| e2 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(thm)],[f23]) ).
fof(f184,plain,
( e0 != op(op(e3,e3),op(e3,e3))
| e1 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
| e2 != op(e3,e3) ),
inference(cnf_transformation,[status(thm)],[f183]) ).
fof(f185,plain,
( e2 != op(op(e0,e0),op(e0,e0))
| e1 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
| e3 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(thm)],[f24]) ).
fof(f186,plain,
( e2 != op(op(e0,e0),op(e0,e0))
| e1 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
| e3 != op(e0,e0) ),
inference(cnf_transformation,[status(thm)],[f185]) ).
fof(f187,plain,
( e1 != op(op(e0,e0),op(e0,e0))
| e2 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
| e3 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(thm)],[f25]) ).
fof(f188,plain,
( e1 != op(op(e0,e0),op(e0,e0))
| e2 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
| e3 != op(e0,e0) ),
inference(cnf_transformation,[status(thm)],[f187]) ).
fof(f189,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| e0 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
| e3 != op(e1,e1) ),
inference(pre_NNF_transformation,[status(thm)],[f26]) ).
fof(f190,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| e0 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
| e3 != op(e1,e1) ),
inference(cnf_transformation,[status(thm)],[f189]) ).
fof(f191,plain,
( e0 != op(op(e1,e1),op(e1,e1))
| e2 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
| e3 != op(e1,e1) ),
inference(pre_NNF_transformation,[status(thm)],[f27]) ).
fof(f192,plain,
( e0 != op(op(e1,e1),op(e1,e1))
| e2 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
| e3 != op(e1,e1) ),
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f193,plain,
( e1 != op(op(e2,e2),op(e2,e2))
| e0 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
| e3 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(thm)],[f28]) ).
fof(f194,plain,
( e1 != op(op(e2,e2),op(e2,e2))
| e0 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
| e3 != op(e2,e2) ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f195,plain,
( e0 != op(op(e2,e2),op(e2,e2))
| e1 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
| e3 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(thm)],[f29]) ).
fof(f196,plain,
( e0 != op(op(e2,e2),op(e2,e2))
| e1 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
| e3 != op(e2,e2) ),
inference(cnf_transformation,[status(thm)],[f195]) ).
fof(f197,definition,
( sP2_prd
<=> ( ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e0)) = e0 )
| ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f198,plain,
( sP0_prd
<=> ( ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 )
& op(e2,op(e2,e3)) = e3
& op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e1)) = e1
& op(e2,op(e2,e0)) = e0 )
| sP2_prd ) ),
inference(formula_renaming,[status(thm)],[f132,f197]) ).
fof(f199,definition,
( sP3_prd
<=> ( op(e0,e2) = e0
| op(e0,e0) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f200,definition,
( sP4_prd
<=> ( op(e1,e2) = e1
| op(e1,e1) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f201,plain,
( sP0_prd
<=> ( ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& sP4_prd
& sP3_prd
& op(e2,op(e2,e3)) = e3
& op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e1)) = e1
& op(e2,op(e2,e0)) = e0 )
| sP2_prd ) ),
inference(formula_renaming,[status(thm)],[f198,f200,f199]) ).
fof(f202,plain,
( ( ( ( ( op(e3,e2) != e3
& op(e3,e3) = e2 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2 )
| ~ sP4_prd
| ~ sP3_prd
| op(e2,op(e2,e3)) != e3
| op(e2,op(e2,e2)) != e2
| op(e2,op(e2,e1)) != e1
| op(e2,op(e2,e0)) != e0 )
& ~ sP2_prd )
| sP0_prd )
& ( ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& sP4_prd
& sP3_prd
& op(e2,op(e2,e3)) = e3
& op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e1)) = e1
& op(e2,op(e2,e0)) = e0 )
| sP2_prd
| ~ sP0_prd ) ),
inference(NNF_transformation,[status(thm)],[f201]) ).
fof(f203,plain,
( op(e2,op(e2,e0)) = e0
| sP2_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f202]) ).
fof(f204,plain,
( op(e2,op(e2,e1)) = e1
| sP2_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f202]) ).
fof(f205,plain,
( op(e2,op(e2,e2)) = e2
| sP2_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f202]) ).
fof(f206,plain,
( op(e2,op(e2,e3)) = e3
| sP2_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f202]) ).
fof(f207,plain,
( sP3_prd
| sP2_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f202]) ).
fof(f208,plain,
( sP4_prd
| sP2_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f202]) ).
fof(f210,plain,
( op(e3,e2) = e3
| op(e3,e3) != e2
| sP2_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f202]) ).
fof(f211,plain,
( ~ sP2_prd
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f202]) ).
fof(f216,definition,
( sP5_prd
<=> ( ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f217,plain,
( sP1_prd
<=> ( ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| sP5_prd ) ),
inference(formula_renaming,[status(thm)],[f133,f216]) ).
fof(f218,definition,
( sP6_prd
<=> ( op(e2,e2) != e0
| op(e2,e0) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f219,definition,
( sP7_prd
<=> ( op(e2,e2) != e1
| op(e2,e1) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).
fof(f220,plain,
( sP1_prd
<=> ( ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& sP7_prd
& sP6_prd
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| sP5_prd ) ),
inference(formula_renaming,[status(thm)],[f217,f219,f218]) ).
fof(f221,plain,
( ( ( ( ( op(e2,e2) = e3
& op(e2,e3) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2 )
| ~ sP7_prd
| ~ sP6_prd
| op(e2,e3) != e3
| op(e3,e2) != e3 )
& ~ sP5_prd )
| sP1_prd )
& ( ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& sP7_prd
& sP6_prd
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| sP5_prd
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f220]) ).
fof(f222,plain,
( op(e3,e2) = e3
| sP5_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f221]) ).
fof(f223,plain,
( op(e2,e3) = e3
| sP5_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f221]) ).
fof(f224,plain,
( sP6_prd
| sP5_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f221]) ).
fof(f225,plain,
( sP7_prd
| sP5_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f221]) ).
fof(f226,plain,
( op(e2,e2) != e2
| op(e2,e2) != e2
| sP5_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f221]) ).
fof(f228,plain,
( ~ sP5_prd
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f221]) ).
fof(f233,definition,
( sP8_prd
<=> ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0 ) ),
introduced(definition,[new_symbols(definition,[sP8_prd])],[]) ).
fof(f234,plain,
( sP2_prd
<=> ( ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e0)) = e0 )
| sP8_prd ) ),
inference(formula_renaming,[status(thm)],[f197,f233]) ).
fof(f235,definition,
( sP9_prd
<=> ( op(e0,e1) = e0
| op(e0,e0) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP9_prd])],[]) ).
fof(f236,definition,
( sP10_prd
<=> ( op(e1,e1) = e1
| op(e1,e1) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP10_prd])],[]) ).
fof(f237,plain,
( sP2_prd
<=> ( ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& sP10_prd
& sP9_prd
& op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e0)) = e0 )
| sP8_prd ) ),
inference(formula_renaming,[status(thm)],[f234,f236,f235]) ).
fof(f238,plain,
( ( ( ( ( op(e3,e1) != e3
& op(e3,e3) = e1 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1 )
| ~ sP10_prd
| ~ sP9_prd
| op(e1,op(e1,e3)) != e3
| op(e1,op(e1,e2)) != e2
| op(e1,op(e1,e1)) != e1
| op(e1,op(e1,e0)) != e0 )
& ~ sP8_prd )
| sP2_prd )
& ( ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& sP10_prd
& sP9_prd
& op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e0)) = e0 )
| sP8_prd
| ~ sP2_prd ) ),
inference(NNF_transformation,[status(thm)],[f237]) ).
fof(f239,plain,
( op(e1,op(e1,e0)) = e0
| sP8_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f238]) ).
fof(f240,plain,
( op(e1,op(e1,e1)) = e1
| sP8_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f238]) ).
fof(f241,plain,
( op(e1,op(e1,e2)) = e2
| sP8_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f238]) ).
fof(f242,plain,
( op(e1,op(e1,e3)) = e3
| sP8_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f238]) ).
fof(f243,plain,
( sP9_prd
| sP8_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f238]) ).
fof(f244,plain,
( sP10_prd
| sP8_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f238]) ).
fof(f245,plain,
( op(e2,e1) = e2
| op(e2,e2) != e1
| sP8_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f238]) ).
fof(f246,plain,
( op(e3,e1) = e3
| op(e3,e3) != e1
| sP8_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f238]) ).
fof(f247,plain,
( ~ sP8_prd
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f238]) ).
fof(f252,plain,
( ( ( op(e0,e2) != e0
& op(e0,e0) = e2 )
| sP3_prd )
& ( op(e0,e2) = e0
| op(e0,e0) != e2
| ~ sP3_prd ) ),
inference(NNF_transformation,[status(thm)],[f199]) ).
fof(f253,plain,
( op(e0,e2) = e0
| op(e0,e0) != e2
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f254,plain,
( op(e0,e0) = e2
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f255,plain,
( op(e0,e2) != e0
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f256,plain,
( ( ( op(e1,e2) != e1
& op(e1,e1) = e2 )
| sP4_prd )
& ( op(e1,e2) = e1
| op(e1,e1) != e2
| ~ sP4_prd ) ),
inference(NNF_transformation,[status(thm)],[f200]) ).
fof(f257,plain,
( op(e1,e2) = e1
| op(e1,e1) != e2
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f256]) ).
fof(f258,plain,
( op(e1,e1) = e2
| sP4_prd ),
inference(cnf_transformation,[status(thm)],[f256]) ).
fof(f260,definition,
( sP11_prd
<=> ( ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP11_prd])],[]) ).
fof(f261,plain,
( sP5_prd
<=> ( ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| sP11_prd ) ),
inference(formula_renaming,[status(thm)],[f216,f260]) ).
fof(f262,definition,
( sP12_prd
<=> ( op(e1,e1) != e0
| op(e1,e0) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP12_prd])],[]) ).
fof(f263,definition,
( sP13_prd
<=> ( op(e1,e1) != e1
| op(e1,e1) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP13_prd])],[]) ).
fof(f264,plain,
( sP5_prd
<=> ( ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& sP13_prd
& sP12_prd
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| sP11_prd ) ),
inference(formula_renaming,[status(thm)],[f261,f263,f262]) ).
fof(f265,plain,
( ( ( ( ( op(e1,e1) = e3
& op(e1,e3) = e1 )
| ( op(e1,e1) = e2
& op(e1,e2) = e1 )
| ~ sP13_prd
| ~ sP12_prd
| op(e1,e3) != e3
| op(e3,e1) != e3 )
& ~ sP11_prd )
| sP5_prd )
& ( ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& sP13_prd
& sP12_prd
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| sP11_prd
| ~ sP5_prd ) ),
inference(NNF_transformation,[status(thm)],[f264]) ).
fof(f266,plain,
( op(e3,e1) = e3
| sP11_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f267,plain,
( op(e1,e3) = e3
| sP11_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f268,plain,
( sP12_prd
| sP11_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f269,plain,
( sP13_prd
| sP11_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f270,plain,
( op(e1,e1) != e2
| op(e1,e2) != e1
| sP11_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f272,plain,
( ~ sP11_prd
| sP5_prd ),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f277,plain,
( ( ( op(e2,e2) = e0
& op(e2,e0) = e2 )
| sP6_prd )
& ( op(e2,e2) != e0
| op(e2,e0) != e2
| ~ sP6_prd ) ),
inference(NNF_transformation,[status(thm)],[f218]) ).
fof(f278,plain,
( op(e2,e2) != e0
| op(e2,e0) != e2
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f277]) ).
fof(f279,plain,
( op(e2,e0) = e2
| sP6_prd ),
inference(cnf_transformation,[status(thm)],[f277]) ).
fof(f280,plain,
( op(e2,e2) = e0
| sP6_prd ),
inference(cnf_transformation,[status(thm)],[f277]) ).
fof(f281,plain,
( ( ( op(e2,e2) = e1
& op(e2,e1) = e2 )
| sP7_prd )
& ( op(e2,e2) != e1
| op(e2,e1) != e2
| ~ sP7_prd ) ),
inference(NNF_transformation,[status(thm)],[f219]) ).
fof(f282,plain,
( op(e2,e2) != e1
| op(e2,e1) != e2
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f281]) ).
fof(f283,plain,
( op(e2,e1) = e2
| sP7_prd ),
inference(cnf_transformation,[status(thm)],[f281]) ).
fof(f284,plain,
( op(e2,e2) = e1
| sP7_prd ),
inference(cnf_transformation,[status(thm)],[f281]) ).
fof(f285,definition,
( sP14_prd
<=> ( op(e0,e0) = e0
| op(e0,e0) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP14_prd])],[]) ).
fof(f286,definition,
( sP15_prd
<=> ( op(e1,e0) = e1
| op(e1,e1) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP15_prd])],[]) ).
fof(f287,plain,
( sP8_prd
<=> ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& sP15_prd
& sP14_prd
& op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0 ) ),
inference(formula_renaming,[status(thm)],[f233,f286,f285]) ).
fof(f288,plain,
( ( ( op(e3,e0) != e3
& op(e3,e3) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0 )
| ~ sP15_prd
| ~ sP14_prd
| op(e0,op(e0,e3)) != e3
| op(e0,op(e0,e2)) != e2
| op(e0,op(e0,e1)) != e1
| op(e0,op(e0,e0)) != e0
| sP8_prd )
& ( ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& sP15_prd
& sP14_prd
& op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0 )
| ~ sP8_prd ) ),
inference(NNF_transformation,[status(thm)],[f287]) ).
fof(f289,plain,
( op(e0,op(e0,e0)) = e0
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f288]) ).
fof(f290,plain,
( op(e0,op(e0,e1)) = e1
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f288]) ).
fof(f291,plain,
( op(e0,op(e0,e2)) = e2
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f288]) ).
fof(f292,plain,
( op(e0,op(e0,e3)) = e3
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f288]) ).
fof(f293,plain,
( sP14_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f288]) ).
fof(f294,plain,
( sP15_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f288]) ).
fof(f295,plain,
( op(e2,e0) = e2
| op(e2,e2) != e0
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f288]) ).
fof(f296,plain,
( op(e3,e0) = e3
| op(e3,e3) != e0
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f288]) ).
fof(f301,plain,
( ( ( op(e0,e1) != e0
& op(e0,e0) = e1 )
| sP9_prd )
& ( op(e0,e1) = e0
| op(e0,e0) != e1
| ~ sP9_prd ) ),
inference(NNF_transformation,[status(thm)],[f235]) ).
fof(f302,plain,
( op(e0,e1) = e0
| op(e0,e0) != e1
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f301]) ).
fof(f303,plain,
( op(e0,e0) = e1
| sP9_prd ),
inference(cnf_transformation,[status(thm)],[f301]) ).
fof(f304,plain,
( op(e0,e1) != e0
| sP9_prd ),
inference(cnf_transformation,[status(thm)],[f301]) ).
fof(f305,plain,
( ( ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| sP10_prd )
& ( op(e1,e1) = e1
| op(e1,e1) != e1
| ~ sP10_prd ) ),
inference(NNF_transformation,[status(thm)],[f236]) ).
fof(f307,plain,
( op(e1,e1) = e1
| sP10_prd ),
inference(cnf_transformation,[status(thm)],[f305]) ).
fof(f308,plain,
( op(e1,e1) != e1
| sP10_prd ),
inference(cnf_transformation,[status(thm)],[f305]) ).
fof(f309,definition,
( sP16_prd
<=> ( ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP16_prd])],[]) ).
fof(f310,plain,
( sP11_prd
<=> ( ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| sP16_prd ) ),
inference(formula_renaming,[status(thm)],[f260,f309]) ).
fof(f311,definition,
( sP17_prd
<=> ( op(e0,e0) != e0
| op(e0,e0) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP17_prd])],[]) ).
fof(f312,definition,
( sP18_prd
<=> ( op(e0,e0) != e1
| op(e0,e1) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP18_prd])],[]) ).
fof(f313,plain,
( sP11_prd
<=> ( ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& sP18_prd
& sP17_prd
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| sP16_prd ) ),
inference(formula_renaming,[status(thm)],[f310,f312,f311]) ).
fof(f314,plain,
( ( ( ( ( op(e0,e0) = e3
& op(e0,e3) = e0 )
| ( op(e0,e0) = e2
& op(e0,e2) = e0 )
| ~ sP18_prd
| ~ sP17_prd
| op(e0,e3) != e3
| op(e3,e0) != e3 )
& ~ sP16_prd )
| sP11_prd )
& ( ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& sP18_prd
& sP17_prd
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| sP16_prd
| ~ sP11_prd ) ),
inference(NNF_transformation,[status(thm)],[f313]) ).
fof(f315,plain,
( op(e3,e0) = e3
| sP16_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f314]) ).
fof(f316,plain,
( op(e0,e3) = e3
| sP16_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f314]) ).
fof(f317,plain,
( sP17_prd
| sP16_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f314]) ).
fof(f318,plain,
( sP18_prd
| sP16_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f314]) ).
fof(f319,plain,
( op(e0,e0) != e2
| op(e0,e2) != e0
| sP16_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f314]) ).
fof(f320,plain,
( op(e0,e0) != e3
| op(e0,e3) != e0
| sP16_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f314]) ).
fof(f321,plain,
( ~ sP16_prd
| sP11_prd ),
inference(cnf_transformation,[status(thm)],[f314]) ).
fof(f326,plain,
( ( ( op(e1,e1) = e0
& op(e1,e0) = e1 )
| sP12_prd )
& ( op(e1,e1) != e0
| op(e1,e0) != e1
| ~ sP12_prd ) ),
inference(NNF_transformation,[status(thm)],[f262]) ).
fof(f327,plain,
( op(e1,e1) != e0
| op(e1,e0) != e1
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f326]) ).
fof(f328,plain,
( op(e1,e0) = e1
| sP12_prd ),
inference(cnf_transformation,[status(thm)],[f326]) ).
fof(f329,plain,
( op(e1,e1) = e0
| sP12_prd ),
inference(cnf_transformation,[status(thm)],[f326]) ).
fof(f330,plain,
( ( ( op(e1,e1) = e1
& op(e1,e1) = e1 )
| sP13_prd )
& ( op(e1,e1) != e1
| op(e1,e1) != e1
| ~ sP13_prd ) ),
inference(NNF_transformation,[status(thm)],[f263]) ).
fof(f331,plain,
( op(e1,e1) != e1
| op(e1,e1) != e1
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f330]) ).
fof(f332,plain,
( op(e1,e1) = e1
| sP13_prd ),
inference(cnf_transformation,[status(thm)],[f330]) ).
fof(f334,plain,
( ( ( op(e0,e0) != e0
& op(e0,e0) = e0 )
| sP14_prd )
& ( op(e0,e0) = e0
| op(e0,e0) != e0
| ~ sP14_prd ) ),
inference(NNF_transformation,[status(thm)],[f285]) ).
fof(f336,plain,
( op(e0,e0) = e0
| sP14_prd ),
inference(cnf_transformation,[status(thm)],[f334]) ).
fof(f337,plain,
( op(e0,e0) != e0
| sP14_prd ),
inference(cnf_transformation,[status(thm)],[f334]) ).
fof(f338,plain,
( ( ( op(e1,e0) != e1
& op(e1,e1) = e0 )
| sP15_prd )
& ( op(e1,e0) = e1
| op(e1,e1) != e0
| ~ sP15_prd ) ),
inference(NNF_transformation,[status(thm)],[f286]) ).
fof(f339,plain,
( op(e1,e0) = e1
| op(e1,e1) != e0
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f338]) ).
fof(f340,plain,
( op(e1,e1) = e0
| sP15_prd ),
inference(cnf_transformation,[status(thm)],[f338]) ).
fof(f341,plain,
( op(e1,e0) != e1
| sP15_prd ),
inference(cnf_transformation,[status(thm)],[f338]) ).
fof(f342,definition,
( sP19_prd
<=> ( ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP19_prd])],[]) ).
fof(f343,plain,
( sP16_prd
<=> ( ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| sP19_prd ) ),
inference(formula_renaming,[status(thm)],[f309,f342]) ).
fof(f344,definition,
( sP20_prd
<=> ( op(e3,e3) != e0
| op(e3,e0) != e3 ) ),
introduced(definition,[new_symbols(definition,[sP20_prd])],[]) ).
fof(f345,definition,
( sP21_prd
<=> ( op(e3,e3) != e1
| op(e3,e1) != e3 ) ),
introduced(definition,[new_symbols(definition,[sP21_prd])],[]) ).
fof(f346,plain,
( sP16_prd
<=> ( ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& sP21_prd
& sP20_prd
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| sP19_prd ) ),
inference(formula_renaming,[status(thm)],[f343,f345,f344]) ).
fof(f347,plain,
( ( ( ( ( op(e3,e3) = e3
& op(e3,e3) = e3 )
| ( op(e3,e3) = e2
& op(e3,e2) = e3 )
| ~ sP21_prd
| ~ sP20_prd
| op(e3,e2) != e2
| op(e2,e3) != e2 )
& ~ sP19_prd )
| sP16_prd )
& ( ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& sP21_prd
& sP20_prd
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| sP19_prd
| ~ sP16_prd ) ),
inference(NNF_transformation,[status(thm)],[f346]) ).
fof(f348,plain,
( op(e2,e3) = e2
| sP19_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f347]) ).
fof(f349,plain,
( op(e3,e2) = e2
| sP19_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f347]) ).
fof(f350,plain,
( sP20_prd
| sP19_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f347]) ).
fof(f351,plain,
( sP21_prd
| sP19_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f347]) ).
fof(f353,plain,
( op(e3,e3) != e3
| op(e3,e3) != e3
| sP19_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f347]) ).
fof(f354,plain,
( ~ sP19_prd
| sP16_prd ),
inference(cnf_transformation,[status(thm)],[f347]) ).
fof(f359,plain,
( ( ( op(e0,e0) = e0
& op(e0,e0) = e0 )
| sP17_prd )
& ( op(e0,e0) != e0
| op(e0,e0) != e0
| ~ sP17_prd ) ),
inference(NNF_transformation,[status(thm)],[f311]) ).
fof(f360,plain,
( op(e0,e0) != e0
| op(e0,e0) != e0
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f359]) ).
fof(f361,plain,
( op(e0,e0) = e0
| sP17_prd ),
inference(cnf_transformation,[status(thm)],[f359]) ).
fof(f363,plain,
( ( ( op(e0,e0) = e1
& op(e0,e1) = e0 )
| sP18_prd )
& ( op(e0,e0) != e1
| op(e0,e1) != e0
| ~ sP18_prd ) ),
inference(NNF_transformation,[status(thm)],[f312]) ).
fof(f364,plain,
( op(e0,e0) != e1
| op(e0,e1) != e0
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f363]) ).
fof(f365,plain,
( op(e0,e1) = e0
| sP18_prd ),
inference(cnf_transformation,[status(thm)],[f363]) ).
fof(f366,plain,
( op(e0,e0) = e1
| sP18_prd ),
inference(cnf_transformation,[status(thm)],[f363]) ).
fof(f367,definition,
( sP22_prd
<=> ( ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP22_prd])],[]) ).
fof(f368,plain,
( sP19_prd
<=> ( ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| sP22_prd ) ),
inference(formula_renaming,[status(thm)],[f342,f367]) ).
fof(f369,definition,
( sP23_prd
<=> ( op(e2,e2) != e0
| op(e2,e0) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP23_prd])],[]) ).
fof(f370,definition,
( sP24_prd
<=> ( op(e2,e2) != e1
| op(e2,e1) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP24_prd])],[]) ).
fof(f371,plain,
( sP19_prd
<=> ( ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& sP24_prd
& sP23_prd
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| sP22_prd ) ),
inference(formula_renaming,[status(thm)],[f368,f370,f369]) ).
fof(f372,plain,
( ( ( ( ( op(e2,e2) = e3
& op(e2,e3) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2 )
| ~ sP24_prd
| ~ sP23_prd
| op(e2,e2) != e2
| op(e2,e2) != e2 )
& ~ sP22_prd )
| sP19_prd )
& ( ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& sP24_prd
& sP23_prd
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| sP22_prd
| ~ sP19_prd ) ),
inference(NNF_transformation,[status(thm)],[f371]) ).
fof(f373,plain,
( op(e2,e2) = e2
| sP22_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f372]) ).
fof(f376,plain,
( sP24_prd
| sP22_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f372]) ).
fof(f377,plain,
( op(e2,e2) != e2
| op(e2,e2) != e2
| sP22_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f372]) ).
fof(f378,plain,
( op(e2,e2) != e3
| op(e2,e3) != e2
| sP22_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f372]) ).
fof(f379,plain,
( ~ sP22_prd
| sP19_prd ),
inference(cnf_transformation,[status(thm)],[f372]) ).
fof(f384,plain,
( ( ( op(e3,e3) = e0
& op(e3,e0) = e3 )
| sP20_prd )
& ( op(e3,e3) != e0
| op(e3,e0) != e3
| ~ sP20_prd ) ),
inference(NNF_transformation,[status(thm)],[f344]) ).
fof(f385,plain,
( op(e3,e3) != e0
| op(e3,e0) != e3
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f384]) ).
fof(f386,plain,
( op(e3,e0) = e3
| sP20_prd ),
inference(cnf_transformation,[status(thm)],[f384]) ).
fof(f387,plain,
( op(e3,e3) = e0
| sP20_prd ),
inference(cnf_transformation,[status(thm)],[f384]) ).
fof(f388,plain,
( ( ( op(e3,e3) = e1
& op(e3,e1) = e3 )
| sP21_prd )
& ( op(e3,e3) != e1
| op(e3,e1) != e3
| ~ sP21_prd ) ),
inference(NNF_transformation,[status(thm)],[f345]) ).
fof(f389,plain,
( op(e3,e3) != e1
| op(e3,e1) != e3
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f388]) ).
fof(f390,plain,
( op(e3,e1) = e3
| sP21_prd ),
inference(cnf_transformation,[status(thm)],[f388]) ).
fof(f391,plain,
( op(e3,e3) = e1
| sP21_prd ),
inference(cnf_transformation,[status(thm)],[f388]) ).
fof(f392,definition,
( sP25_prd
<=> ( ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP25_prd])],[]) ).
fof(f393,plain,
( sP22_prd
<=> ( ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| sP25_prd ) ),
inference(formula_renaming,[status(thm)],[f367,f392]) ).
fof(f394,definition,
( sP26_prd
<=> ( op(e1,e1) != e0
| op(e1,e0) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP26_prd])],[]) ).
fof(f395,definition,
( sP27_prd
<=> ( op(e1,e1) != e1
| op(e1,e1) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP27_prd])],[]) ).
fof(f396,plain,
( sP22_prd
<=> ( ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& sP27_prd
& sP26_prd
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| sP25_prd ) ),
inference(formula_renaming,[status(thm)],[f393,f395,f394]) ).
fof(f397,plain,
( ( ( ( ( op(e1,e1) = e3
& op(e1,e3) = e1 )
| ( op(e1,e1) = e2
& op(e1,e2) = e1 )
| ~ sP27_prd
| ~ sP26_prd
| op(e1,e2) != e2
| op(e2,e1) != e2 )
& ~ sP25_prd )
| sP22_prd )
& ( ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& sP27_prd
& sP26_prd
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| sP25_prd
| ~ sP22_prd ) ),
inference(NNF_transformation,[status(thm)],[f396]) ).
fof(f398,plain,
( op(e2,e1) = e2
| sP25_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f397]) ).
fof(f399,plain,
( op(e1,e2) = e2
| sP25_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f397]) ).
fof(f400,plain,
( sP26_prd
| sP25_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f397]) ).
fof(f401,plain,
( sP27_prd
| sP25_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f397]) ).
fof(f403,plain,
( op(e1,e1) != e3
| op(e1,e3) != e1
| sP25_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f397]) ).
fof(f404,plain,
( ~ sP25_prd
| sP22_prd ),
inference(cnf_transformation,[status(thm)],[f397]) ).
fof(f408,plain,
( op(e1,e1) = e3
| op(e1,e1) = e2
| ~ sP27_prd
| ~ sP26_prd
| op(e1,e2) != e2
| op(e2,e1) != e2
| sP22_prd ),
inference(cnf_transformation,[status(thm)],[f397]) ).
fof(f409,plain,
( ( ( op(e2,e2) = e0
& op(e2,e0) = e2 )
| sP23_prd )
& ( op(e2,e2) != e0
| op(e2,e0) != e2
| ~ sP23_prd ) ),
inference(NNF_transformation,[status(thm)],[f369]) ).
fof(f410,plain,
( op(e2,e2) != e0
| op(e2,e0) != e2
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f409]) ).
fof(f411,plain,
( op(e2,e0) = e2
| sP23_prd ),
inference(cnf_transformation,[status(thm)],[f409]) ).
fof(f412,plain,
( op(e2,e2) = e0
| sP23_prd ),
inference(cnf_transformation,[status(thm)],[f409]) ).
fof(f413,plain,
( ( ( op(e2,e2) = e1
& op(e2,e1) = e2 )
| sP24_prd )
& ( op(e2,e2) != e1
| op(e2,e1) != e2
| ~ sP24_prd ) ),
inference(NNF_transformation,[status(thm)],[f370]) ).
fof(f414,plain,
( op(e2,e2) != e1
| op(e2,e1) != e2
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f413]) ).
fof(f415,plain,
( op(e2,e1) = e2
| sP24_prd ),
inference(cnf_transformation,[status(thm)],[f413]) ).
fof(f416,plain,
( op(e2,e2) = e1
| sP24_prd ),
inference(cnf_transformation,[status(thm)],[f413]) ).
fof(f417,definition,
( sP28_prd
<=> ( ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP28_prd])],[]) ).
fof(f418,plain,
( sP25_prd
<=> ( ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| sP28_prd ) ),
inference(formula_renaming,[status(thm)],[f392,f417]) ).
fof(f419,definition,
( sP29_prd
<=> ( op(e0,e0) != e0
| op(e0,e0) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP29_prd])],[]) ).
fof(f420,definition,
( sP30_prd
<=> ( op(e0,e0) != e1
| op(e0,e1) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP30_prd])],[]) ).
fof(f421,plain,
( sP25_prd
<=> ( ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& sP30_prd
& sP29_prd
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| sP28_prd ) ),
inference(formula_renaming,[status(thm)],[f418,f420,f419]) ).
fof(f422,plain,
( ( ( ( ( op(e0,e0) = e3
& op(e0,e3) = e0 )
| ( op(e0,e0) = e2
& op(e0,e2) = e0 )
| ~ sP30_prd
| ~ sP29_prd
| op(e0,e2) != e2
| op(e2,e0) != e2 )
& ~ sP28_prd )
| sP25_prd )
& ( ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& sP30_prd
& sP29_prd
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| sP28_prd
| ~ sP25_prd ) ),
inference(NNF_transformation,[status(thm)],[f421]) ).
fof(f423,plain,
( op(e2,e0) = e2
| sP28_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f422]) ).
fof(f424,plain,
( op(e0,e2) = e2
| sP28_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f422]) ).
fof(f425,plain,
( sP29_prd
| sP28_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f422]) ).
fof(f426,plain,
( sP30_prd
| sP28_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f422]) ).
fof(f427,plain,
( op(e0,e0) != e2
| op(e0,e2) != e0
| sP28_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f422]) ).
fof(f428,plain,
( op(e0,e0) != e3
| op(e0,e3) != e0
| sP28_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f422]) ).
fof(f429,plain,
( ~ sP28_prd
| sP25_prd ),
inference(cnf_transformation,[status(thm)],[f422]) ).
fof(f432,plain,
( op(e0,e3) = e0
| op(e0,e0) = e2
| ~ sP30_prd
| ~ sP29_prd
| op(e0,e2) != e2
| op(e2,e0) != e2
| sP25_prd ),
inference(cnf_transformation,[status(thm)],[f422]) ).
fof(f433,plain,
( op(e0,e0) = e3
| op(e0,e0) = e2
| ~ sP30_prd
| ~ sP29_prd
| op(e0,e2) != e2
| op(e2,e0) != e2
| sP25_prd ),
inference(cnf_transformation,[status(thm)],[f422]) ).
fof(f434,plain,
( ( ( op(e1,e1) = e0
& op(e1,e0) = e1 )
| sP26_prd )
& ( op(e1,e1) != e0
| op(e1,e0) != e1
| ~ sP26_prd ) ),
inference(NNF_transformation,[status(thm)],[f394]) ).
fof(f435,plain,
( op(e1,e1) != e0
| op(e1,e0) != e1
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f434]) ).
fof(f436,plain,
( op(e1,e0) = e1
| sP26_prd ),
inference(cnf_transformation,[status(thm)],[f434]) ).
fof(f437,plain,
( op(e1,e1) = e0
| sP26_prd ),
inference(cnf_transformation,[status(thm)],[f434]) ).
fof(f438,plain,
( ( ( op(e1,e1) = e1
& op(e1,e1) = e1 )
| sP27_prd )
& ( op(e1,e1) != e1
| op(e1,e1) != e1
| ~ sP27_prd ) ),
inference(NNF_transformation,[status(thm)],[f395]) ).
fof(f439,plain,
( op(e1,e1) != e1
| op(e1,e1) != e1
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f438]) ).
fof(f440,plain,
( op(e1,e1) = e1
| sP27_prd ),
inference(cnf_transformation,[status(thm)],[f438]) ).
fof(f442,definition,
( sP31_prd
<=> ( ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP31_prd])],[]) ).
fof(f443,plain,
( sP28_prd
<=> ( ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| sP31_prd ) ),
inference(formula_renaming,[status(thm)],[f417,f442]) ).
fof(f444,definition,
( sP32_prd
<=> ( op(e3,e3) != e0
| op(e3,e0) != e3 ) ),
introduced(definition,[new_symbols(definition,[sP32_prd])],[]) ).
fof(f445,definition,
( sP33_prd
<=> ( op(e3,e3) != e1
| op(e3,e1) != e3 ) ),
introduced(definition,[new_symbols(definition,[sP33_prd])],[]) ).
fof(f446,plain,
( sP28_prd
<=> ( ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& sP33_prd
& sP32_prd
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| sP31_prd ) ),
inference(formula_renaming,[status(thm)],[f443,f445,f444]) ).
fof(f447,plain,
( ( ( ( ( op(e3,e3) = e3
& op(e3,e3) = e3 )
| ( op(e3,e3) = e2
& op(e3,e2) = e3 )
| ~ sP33_prd
| ~ sP32_prd
| op(e3,e1) != e1
| op(e1,e3) != e1 )
& ~ sP31_prd )
| sP28_prd )
& ( ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& sP33_prd
& sP32_prd
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| sP31_prd
| ~ sP28_prd ) ),
inference(NNF_transformation,[status(thm)],[f446]) ).
fof(f448,plain,
( op(e1,e3) = e1
| sP31_prd
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f447]) ).
fof(f449,plain,
( op(e3,e1) = e1
| sP31_prd
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f447]) ).
fof(f450,plain,
( sP32_prd
| sP31_prd
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f447]) ).
fof(f452,plain,
( op(e3,e3) != e2
| op(e3,e2) != e3
| sP31_prd
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f447]) ).
fof(f453,plain,
( op(e3,e3) != e3
| op(e3,e3) != e3
| sP31_prd
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f447]) ).
fof(f454,plain,
( ~ sP31_prd
| sP28_prd ),
inference(cnf_transformation,[status(thm)],[f447]) ).
fof(f455,plain,
( op(e3,e3) = e3
| op(e3,e2) = e3
| ~ sP33_prd
| ~ sP32_prd
| op(e3,e1) != e1
| op(e1,e3) != e1
| sP28_prd ),
inference(cnf_transformation,[status(thm)],[f447]) ).
fof(f457,plain,
( op(e3,e3) = e3
| op(e3,e3) = e2
| ~ sP33_prd
| ~ sP32_prd
| op(e3,e1) != e1
| op(e1,e3) != e1
| sP28_prd ),
inference(cnf_transformation,[status(thm)],[f447]) ).
fof(f459,plain,
( ( ( op(e0,e0) = e0
& op(e0,e0) = e0 )
| sP29_prd )
& ( op(e0,e0) != e0
| op(e0,e0) != e0
| ~ sP29_prd ) ),
inference(NNF_transformation,[status(thm)],[f419]) ).
fof(f460,plain,
( op(e0,e0) != e0
| op(e0,e0) != e0
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f459]) ).
fof(f461,plain,
( op(e0,e0) = e0
| sP29_prd ),
inference(cnf_transformation,[status(thm)],[f459]) ).
fof(f463,plain,
( ( ( op(e0,e0) = e1
& op(e0,e1) = e0 )
| sP30_prd )
& ( op(e0,e0) != e1
| op(e0,e1) != e0
| ~ sP30_prd ) ),
inference(NNF_transformation,[status(thm)],[f420]) ).
fof(f464,plain,
( op(e0,e0) != e1
| op(e0,e1) != e0
| ~ sP30_prd ),
inference(cnf_transformation,[status(thm)],[f463]) ).
fof(f465,plain,
( op(e0,e1) = e0
| sP30_prd ),
inference(cnf_transformation,[status(thm)],[f463]) ).
fof(f466,plain,
( op(e0,e0) = e1
| sP30_prd ),
inference(cnf_transformation,[status(thm)],[f463]) ).
fof(f467,definition,
( sP34_prd
<=> ( ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP34_prd])],[]) ).
fof(f468,plain,
( sP31_prd
<=> ( ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| sP34_prd ) ),
inference(formula_renaming,[status(thm)],[f442,f467]) ).
fof(f469,definition,
( sP35_prd
<=> ( op(e2,e2) != e0
| op(e2,e0) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP35_prd])],[]) ).
fof(f470,definition,
( sP36_prd
<=> ( op(e2,e2) != e1
| op(e2,e1) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP36_prd])],[]) ).
fof(f471,plain,
( sP31_prd
<=> ( ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& sP36_prd
& sP35_prd
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| sP34_prd ) ),
inference(formula_renaming,[status(thm)],[f468,f470,f469]) ).
fof(f472,plain,
( ( ( ( ( op(e2,e2) = e3
& op(e2,e3) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2 )
| ~ sP36_prd
| ~ sP35_prd
| op(e2,e1) != e1
| op(e1,e2) != e1 )
& ~ sP34_prd )
| sP31_prd )
& ( ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& sP36_prd
& sP35_prd
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| sP34_prd
| ~ sP31_prd ) ),
inference(NNF_transformation,[status(thm)],[f471]) ).
fof(f473,plain,
( op(e1,e2) = e1
| sP34_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f472]) ).
fof(f474,plain,
( op(e2,e1) = e1
| sP34_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f472]) ).
fof(f475,plain,
( sP35_prd
| sP34_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f472]) ).
fof(f477,plain,
( op(e2,e2) != e2
| op(e2,e2) != e2
| sP34_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f472]) ).
fof(f478,plain,
( op(e2,e2) != e3
| op(e2,e3) != e2
| sP34_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f472]) ).
fof(f479,plain,
( ~ sP34_prd
| sP31_prd ),
inference(cnf_transformation,[status(thm)],[f472]) ).
fof(f480,plain,
( op(e2,e3) = e2
| op(e2,e2) = e2
| ~ sP36_prd
| ~ sP35_prd
| op(e2,e1) != e1
| op(e1,e2) != e1
| sP31_prd ),
inference(cnf_transformation,[status(thm)],[f472]) ).
fof(f481,plain,
( op(e2,e2) = e3
| op(e2,e2) = e2
| ~ sP36_prd
| ~ sP35_prd
| op(e2,e1) != e1
| op(e1,e2) != e1
| sP31_prd ),
inference(cnf_transformation,[status(thm)],[f472]) ).
fof(f484,plain,
( ( ( op(e3,e3) = e0
& op(e3,e0) = e3 )
| sP32_prd )
& ( op(e3,e3) != e0
| op(e3,e0) != e3
| ~ sP32_prd ) ),
inference(NNF_transformation,[status(thm)],[f444]) ).
fof(f485,plain,
( op(e3,e3) != e0
| op(e3,e0) != e3
| ~ sP32_prd ),
inference(cnf_transformation,[status(thm)],[f484]) ).
fof(f486,plain,
( op(e3,e0) = e3
| sP32_prd ),
inference(cnf_transformation,[status(thm)],[f484]) ).
fof(f487,plain,
( op(e3,e3) = e0
| sP32_prd ),
inference(cnf_transformation,[status(thm)],[f484]) ).
fof(f488,plain,
( ( ( op(e3,e3) = e1
& op(e3,e1) = e3 )
| sP33_prd )
& ( op(e3,e3) != e1
| op(e3,e1) != e3
| ~ sP33_prd ) ),
inference(NNF_transformation,[status(thm)],[f445]) ).
fof(f489,plain,
( op(e3,e3) != e1
| op(e3,e1) != e3
| ~ sP33_prd ),
inference(cnf_transformation,[status(thm)],[f488]) ).
fof(f490,plain,
( op(e3,e1) = e3
| sP33_prd ),
inference(cnf_transformation,[status(thm)],[f488]) ).
fof(f491,plain,
( op(e3,e3) = e1
| sP33_prd ),
inference(cnf_transformation,[status(thm)],[f488]) ).
fof(f492,definition,
( sP37_prd
<=> ( ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP37_prd])],[]) ).
fof(f493,plain,
( sP34_prd
<=> ( ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| sP37_prd ) ),
inference(formula_renaming,[status(thm)],[f467,f492]) ).
fof(f494,definition,
( sP38_prd
<=> ( op(e1,e1) != e0
| op(e1,e0) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP38_prd])],[]) ).
fof(f495,definition,
( sP39_prd
<=> ( op(e1,e1) != e1
| op(e1,e1) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP39_prd])],[]) ).
fof(f496,plain,
( sP34_prd
<=> ( ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& sP39_prd
& sP38_prd
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| sP37_prd ) ),
inference(formula_renaming,[status(thm)],[f493,f495,f494]) ).
fof(f497,plain,
( ( ( ( ( op(e1,e1) = e3
& op(e1,e3) = e1 )
| ( op(e1,e1) = e2
& op(e1,e2) = e1 )
| ~ sP39_prd
| ~ sP38_prd
| op(e1,e1) != e1
| op(e1,e1) != e1 )
& ~ sP37_prd )
| sP34_prd )
& ( ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& sP39_prd
& sP38_prd
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| sP37_prd
| ~ sP34_prd ) ),
inference(NNF_transformation,[status(thm)],[f496]) ).
fof(f498,plain,
( op(e1,e1) = e1
| sP37_prd
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f497]) ).
fof(f501,plain,
( sP39_prd
| sP37_prd
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f497]) ).
fof(f503,plain,
( op(e1,e1) != e3
| op(e1,e3) != e1
| sP37_prd
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f497]) ).
fof(f504,plain,
( ~ sP37_prd
| sP34_prd ),
inference(cnf_transformation,[status(thm)],[f497]) ).
fof(f509,plain,
( ( ( op(e2,e2) = e0
& op(e2,e0) = e2 )
| sP35_prd )
& ( op(e2,e2) != e0
| op(e2,e0) != e2
| ~ sP35_prd ) ),
inference(NNF_transformation,[status(thm)],[f469]) ).
fof(f510,plain,
( op(e2,e2) != e0
| op(e2,e0) != e2
| ~ sP35_prd ),
inference(cnf_transformation,[status(thm)],[f509]) ).
fof(f511,plain,
( op(e2,e0) = e2
| sP35_prd ),
inference(cnf_transformation,[status(thm)],[f509]) ).
fof(f512,plain,
( op(e2,e2) = e0
| sP35_prd ),
inference(cnf_transformation,[status(thm)],[f509]) ).
fof(f513,plain,
( ( ( op(e2,e2) = e1
& op(e2,e1) = e2 )
| sP36_prd )
& ( op(e2,e2) != e1
| op(e2,e1) != e2
| ~ sP36_prd ) ),
inference(NNF_transformation,[status(thm)],[f470]) ).
fof(f514,plain,
( op(e2,e2) != e1
| op(e2,e1) != e2
| ~ sP36_prd ),
inference(cnf_transformation,[status(thm)],[f513]) ).
fof(f515,plain,
( op(e2,e1) = e2
| sP36_prd ),
inference(cnf_transformation,[status(thm)],[f513]) ).
fof(f516,plain,
( op(e2,e2) = e1
| sP36_prd ),
inference(cnf_transformation,[status(thm)],[f513]) ).
fof(f517,definition,
( sP40_prd
<=> ( ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP40_prd])],[]) ).
fof(f518,plain,
( sP37_prd
<=> ( ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| sP40_prd ) ),
inference(formula_renaming,[status(thm)],[f492,f517]) ).
fof(f519,definition,
( sP41_prd
<=> ( op(e0,e0) != e0
| op(e0,e0) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP41_prd])],[]) ).
fof(f520,definition,
( sP42_prd
<=> ( op(e0,e0) != e1
| op(e0,e1) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP42_prd])],[]) ).
fof(f521,plain,
( sP37_prd
<=> ( ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& sP42_prd
& sP41_prd
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| sP40_prd ) ),
inference(formula_renaming,[status(thm)],[f518,f520,f519]) ).
fof(f522,plain,
( ( ( ( ( op(e0,e0) = e3
& op(e0,e3) = e0 )
| ( op(e0,e0) = e2
& op(e0,e2) = e0 )
| ~ sP42_prd
| ~ sP41_prd
| op(e0,e1) != e1
| op(e1,e0) != e1 )
& ~ sP40_prd )
| sP37_prd )
& ( ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& sP42_prd
& sP41_prd
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| sP40_prd
| ~ sP37_prd ) ),
inference(NNF_transformation,[status(thm)],[f521]) ).
fof(f523,plain,
( op(e1,e0) = e1
| sP40_prd
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f522]) ).
fof(f524,plain,
( op(e0,e1) = e1
| sP40_prd
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f522]) ).
fof(f525,plain,
( sP41_prd
| sP40_prd
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f522]) ).
fof(f526,plain,
( sP42_prd
| sP40_prd
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f522]) ).
fof(f527,plain,
( op(e0,e0) != e2
| op(e0,e2) != e0
| sP40_prd
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f522]) ).
fof(f528,plain,
( op(e0,e0) != e3
| op(e0,e3) != e0
| sP40_prd
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f522]) ).
fof(f529,plain,
( ~ sP40_prd
| sP37_prd ),
inference(cnf_transformation,[status(thm)],[f522]) ).
fof(f531,plain,
( op(e0,e0) = e3
| op(e0,e2) = e0
| ~ sP42_prd
| ~ sP41_prd
| op(e0,e1) != e1
| op(e1,e0) != e1
| sP37_prd ),
inference(cnf_transformation,[status(thm)],[f522]) ).
fof(f532,plain,
( op(e0,e3) = e0
| op(e0,e0) = e2
| ~ sP42_prd
| ~ sP41_prd
| op(e0,e1) != e1
| op(e1,e0) != e1
| sP37_prd ),
inference(cnf_transformation,[status(thm)],[f522]) ).
fof(f534,plain,
( ( ( op(e1,e1) = e0
& op(e1,e0) = e1 )
| sP38_prd )
& ( op(e1,e1) != e0
| op(e1,e0) != e1
| ~ sP38_prd ) ),
inference(NNF_transformation,[status(thm)],[f494]) ).
fof(f535,plain,
( op(e1,e1) != e0
| op(e1,e0) != e1
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f534]) ).
fof(f536,plain,
( op(e1,e0) = e1
| sP38_prd ),
inference(cnf_transformation,[status(thm)],[f534]) ).
fof(f537,plain,
( op(e1,e1) = e0
| sP38_prd ),
inference(cnf_transformation,[status(thm)],[f534]) ).
fof(f538,plain,
( ( ( op(e1,e1) = e1
& op(e1,e1) = e1 )
| sP39_prd )
& ( op(e1,e1) != e1
| op(e1,e1) != e1
| ~ sP39_prd ) ),
inference(NNF_transformation,[status(thm)],[f495]) ).
fof(f539,plain,
( op(e1,e1) != e1
| op(e1,e1) != e1
| ~ sP39_prd ),
inference(cnf_transformation,[status(thm)],[f538]) ).
fof(f540,plain,
( op(e1,e1) = e1
| sP39_prd ),
inference(cnf_transformation,[status(thm)],[f538]) ).
fof(f542,definition,
( sP43_prd
<=> ( ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP43_prd])],[]) ).
fof(f543,plain,
( sP40_prd
<=> ( ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| sP43_prd ) ),
inference(formula_renaming,[status(thm)],[f517,f542]) ).
fof(f544,definition,
( sP44_prd
<=> ( op(e3,e3) != e0
| op(e3,e0) != e3 ) ),
introduced(definition,[new_symbols(definition,[sP44_prd])],[]) ).
fof(f545,definition,
( sP45_prd
<=> ( op(e3,e3) != e1
| op(e3,e1) != e3 ) ),
introduced(definition,[new_symbols(definition,[sP45_prd])],[]) ).
fof(f546,plain,
( sP40_prd
<=> ( ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& sP45_prd
& sP44_prd
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| sP43_prd ) ),
inference(formula_renaming,[status(thm)],[f543,f545,f544]) ).
fof(f547,plain,
( ( ( ( ( op(e3,e3) = e3
& op(e3,e3) = e3 )
| ( op(e3,e3) = e2
& op(e3,e2) = e3 )
| ~ sP45_prd
| ~ sP44_prd
| op(e3,e0) != e0
| op(e0,e3) != e0 )
& ~ sP43_prd )
| sP40_prd )
& ( ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& sP45_prd
& sP44_prd
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| sP43_prd
| ~ sP40_prd ) ),
inference(NNF_transformation,[status(thm)],[f546]) ).
fof(f548,plain,
( op(e0,e3) = e0
| sP43_prd
| ~ sP40_prd ),
inference(cnf_transformation,[status(thm)],[f547]) ).
fof(f549,plain,
( op(e3,e0) = e0
| sP43_prd
| ~ sP40_prd ),
inference(cnf_transformation,[status(thm)],[f547]) ).
fof(f551,plain,
( sP45_prd
| sP43_prd
| ~ sP40_prd ),
inference(cnf_transformation,[status(thm)],[f547]) ).
fof(f552,plain,
( op(e3,e3) != e2
| op(e3,e2) != e3
| sP43_prd
| ~ sP40_prd ),
inference(cnf_transformation,[status(thm)],[f547]) ).
fof(f553,plain,
( op(e3,e3) != e3
| op(e3,e3) != e3
| sP43_prd
| ~ sP40_prd ),
inference(cnf_transformation,[status(thm)],[f547]) ).
fof(f554,plain,
( ~ sP43_prd
| sP40_prd ),
inference(cnf_transformation,[status(thm)],[f547]) ).
fof(f555,plain,
( op(e3,e3) = e3
| op(e3,e2) = e3
| ~ sP45_prd
| ~ sP44_prd
| op(e3,e0) != e0
| op(e0,e3) != e0
| sP40_prd ),
inference(cnf_transformation,[status(thm)],[f547]) ).
fof(f557,plain,
( op(e3,e3) = e3
| op(e3,e3) = e2
| ~ sP45_prd
| ~ sP44_prd
| op(e3,e0) != e0
| op(e0,e3) != e0
| sP40_prd ),
inference(cnf_transformation,[status(thm)],[f547]) ).
fof(f559,plain,
( ( ( op(e0,e0) = e0
& op(e0,e0) = e0 )
| sP41_prd )
& ( op(e0,e0) != e0
| op(e0,e0) != e0
| ~ sP41_prd ) ),
inference(NNF_transformation,[status(thm)],[f519]) ).
fof(f560,plain,
( op(e0,e0) != e0
| op(e0,e0) != e0
| ~ sP41_prd ),
inference(cnf_transformation,[status(thm)],[f559]) ).
fof(f561,plain,
( op(e0,e0) = e0
| sP41_prd ),
inference(cnf_transformation,[status(thm)],[f559]) ).
fof(f563,plain,
( ( ( op(e0,e0) = e1
& op(e0,e1) = e0 )
| sP42_prd )
& ( op(e0,e0) != e1
| op(e0,e1) != e0
| ~ sP42_prd ) ),
inference(NNF_transformation,[status(thm)],[f520]) ).
fof(f564,plain,
( op(e0,e0) != e1
| op(e0,e1) != e0
| ~ sP42_prd ),
inference(cnf_transformation,[status(thm)],[f563]) ).
fof(f565,plain,
( op(e0,e1) = e0
| sP42_prd ),
inference(cnf_transformation,[status(thm)],[f563]) ).
fof(f566,plain,
( op(e0,e0) = e1
| sP42_prd ),
inference(cnf_transformation,[status(thm)],[f563]) ).
fof(f567,definition,
( sP46_prd
<=> ( ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP46_prd])],[]) ).
fof(f568,plain,
( sP43_prd
<=> ( ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| sP46_prd ) ),
inference(formula_renaming,[status(thm)],[f542,f567]) ).
fof(f569,definition,
( sP47_prd
<=> ( op(e2,e2) != e0
| op(e2,e0) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP47_prd])],[]) ).
fof(f570,definition,
( sP48_prd
<=> ( op(e2,e2) != e1
| op(e2,e1) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP48_prd])],[]) ).
fof(f571,plain,
( sP43_prd
<=> ( ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& sP48_prd
& sP47_prd
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| sP46_prd ) ),
inference(formula_renaming,[status(thm)],[f568,f570,f569]) ).
fof(f572,plain,
( ( ( ( ( op(e2,e2) = e3
& op(e2,e3) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2 )
| ~ sP48_prd
| ~ sP47_prd
| op(e2,e0) != e0
| op(e0,e2) != e0 )
& ~ sP46_prd )
| sP43_prd )
& ( ( ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& sP48_prd
& sP47_prd
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| sP46_prd
| ~ sP43_prd ) ),
inference(NNF_transformation,[status(thm)],[f571]) ).
fof(f573,plain,
( op(e0,e2) = e0
| sP46_prd
| ~ sP43_prd ),
inference(cnf_transformation,[status(thm)],[f572]) ).
fof(f574,plain,
( op(e2,e0) = e0
| sP46_prd
| ~ sP43_prd ),
inference(cnf_transformation,[status(thm)],[f572]) ).
fof(f576,plain,
( sP48_prd
| sP46_prd
| ~ sP43_prd ),
inference(cnf_transformation,[status(thm)],[f572]) ).
fof(f577,plain,
( op(e2,e2) != e2
| op(e2,e2) != e2
| sP46_prd
| ~ sP43_prd ),
inference(cnf_transformation,[status(thm)],[f572]) ).
fof(f578,plain,
( op(e2,e2) != e3
| op(e2,e3) != e2
| sP46_prd
| ~ sP43_prd ),
inference(cnf_transformation,[status(thm)],[f572]) ).
fof(f579,plain,
( ~ sP46_prd
| sP43_prd ),
inference(cnf_transformation,[status(thm)],[f572]) ).
fof(f580,plain,
( op(e2,e3) = e2
| op(e2,e2) = e2
| ~ sP48_prd
| ~ sP47_prd
| op(e2,e0) != e0
| op(e0,e2) != e0
| sP43_prd ),
inference(cnf_transformation,[status(thm)],[f572]) ).
fof(f581,plain,
( op(e2,e2) = e3
| op(e2,e2) = e2
| ~ sP48_prd
| ~ sP47_prd
| op(e2,e0) != e0
| op(e0,e2) != e0
| sP43_prd ),
inference(cnf_transformation,[status(thm)],[f572]) ).
fof(f584,plain,
( ( ( op(e3,e3) = e0
& op(e3,e0) = e3 )
| sP44_prd )
& ( op(e3,e3) != e0
| op(e3,e0) != e3
| ~ sP44_prd ) ),
inference(NNF_transformation,[status(thm)],[f544]) ).
fof(f585,plain,
( op(e3,e3) != e0
| op(e3,e0) != e3
| ~ sP44_prd ),
inference(cnf_transformation,[status(thm)],[f584]) ).
fof(f586,plain,
( op(e3,e0) = e3
| sP44_prd ),
inference(cnf_transformation,[status(thm)],[f584]) ).
fof(f587,plain,
( op(e3,e3) = e0
| sP44_prd ),
inference(cnf_transformation,[status(thm)],[f584]) ).
fof(f588,plain,
( ( ( op(e3,e3) = e1
& op(e3,e1) = e3 )
| sP45_prd )
& ( op(e3,e3) != e1
| op(e3,e1) != e3
| ~ sP45_prd ) ),
inference(NNF_transformation,[status(thm)],[f545]) ).
fof(f589,plain,
( op(e3,e3) != e1
| op(e3,e1) != e3
| ~ sP45_prd ),
inference(cnf_transformation,[status(thm)],[f588]) ).
fof(f590,plain,
( op(e3,e1) = e3
| sP45_prd ),
inference(cnf_transformation,[status(thm)],[f588]) ).
fof(f591,plain,
( op(e3,e3) = e1
| sP45_prd ),
inference(cnf_transformation,[status(thm)],[f588]) ).
fof(f592,definition,
( sP49_prd
<=> ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ),
introduced(definition,[new_symbols(definition,[sP49_prd])],[]) ).
fof(f593,plain,
( sP46_prd
<=> ( ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| sP49_prd ) ),
inference(formula_renaming,[status(thm)],[f567,f592]) ).
fof(f594,definition,
( sP50_prd
<=> ( op(e1,e1) != e0
| op(e1,e0) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP50_prd])],[]) ).
fof(f595,definition,
( sP51_prd
<=> ( op(e1,e1) != e1
| op(e1,e1) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP51_prd])],[]) ).
fof(f596,plain,
( sP46_prd
<=> ( ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& sP51_prd
& sP50_prd
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| sP49_prd ) ),
inference(formula_renaming,[status(thm)],[f593,f595,f594]) ).
fof(f597,plain,
( ( ( ( ( op(e1,e1) = e3
& op(e1,e3) = e1 )
| ( op(e1,e1) = e2
& op(e1,e2) = e1 )
| ~ sP51_prd
| ~ sP50_prd
| op(e1,e0) != e0
| op(e0,e1) != e0 )
& ~ sP49_prd )
| sP46_prd )
& ( ( ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& sP51_prd
& sP50_prd
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| sP49_prd
| ~ sP46_prd ) ),
inference(NNF_transformation,[status(thm)],[f596]) ).
fof(f598,plain,
( op(e0,e1) = e0
| sP49_prd
| ~ sP46_prd ),
inference(cnf_transformation,[status(thm)],[f597]) ).
fof(f599,plain,
( op(e1,e0) = e0
| sP49_prd
| ~ sP46_prd ),
inference(cnf_transformation,[status(thm)],[f597]) ).
fof(f600,plain,
( sP50_prd
| sP49_prd
| ~ sP46_prd ),
inference(cnf_transformation,[status(thm)],[f597]) ).
fof(f601,plain,
( sP51_prd
| sP49_prd
| ~ sP46_prd ),
inference(cnf_transformation,[status(thm)],[f597]) ).
fof(f602,plain,
( op(e1,e1) != e2
| op(e1,e2) != e1
| sP49_prd
| ~ sP46_prd ),
inference(cnf_transformation,[status(thm)],[f597]) ).
fof(f603,plain,
( op(e1,e1) != e3
| op(e1,e3) != e1
| sP49_prd
| ~ sP46_prd ),
inference(cnf_transformation,[status(thm)],[f597]) ).
fof(f604,plain,
( ~ sP49_prd
| sP46_prd ),
inference(cnf_transformation,[status(thm)],[f597]) ).
fof(f607,plain,
( op(e1,e3) = e1
| op(e1,e1) = e2
| ~ sP51_prd
| ~ sP50_prd
| op(e1,e0) != e0
| op(e0,e1) != e0
| sP46_prd ),
inference(cnf_transformation,[status(thm)],[f597]) ).
fof(f609,plain,
( ( ( op(e2,e2) = e0
& op(e2,e0) = e2 )
| sP47_prd )
& ( op(e2,e2) != e0
| op(e2,e0) != e2
| ~ sP47_prd ) ),
inference(NNF_transformation,[status(thm)],[f569]) ).
fof(f610,plain,
( op(e2,e2) != e0
| op(e2,e0) != e2
| ~ sP47_prd ),
inference(cnf_transformation,[status(thm)],[f609]) ).
fof(f611,plain,
( op(e2,e0) = e2
| sP47_prd ),
inference(cnf_transformation,[status(thm)],[f609]) ).
fof(f612,plain,
( op(e2,e2) = e0
| sP47_prd ),
inference(cnf_transformation,[status(thm)],[f609]) ).
fof(f613,plain,
( ( ( op(e2,e2) = e1
& op(e2,e1) = e2 )
| sP48_prd )
& ( op(e2,e2) != e1
| op(e2,e1) != e2
| ~ sP48_prd ) ),
inference(NNF_transformation,[status(thm)],[f570]) ).
fof(f614,plain,
( op(e2,e2) != e1
| op(e2,e1) != e2
| ~ sP48_prd ),
inference(cnf_transformation,[status(thm)],[f613]) ).
fof(f615,plain,
( op(e2,e1) = e2
| sP48_prd ),
inference(cnf_transformation,[status(thm)],[f613]) ).
fof(f616,plain,
( op(e2,e2) = e1
| sP48_prd ),
inference(cnf_transformation,[status(thm)],[f613]) ).
fof(f617,definition,
( sP52_prd
<=> ( op(e0,e0) != e0
| op(e0,e0) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP52_prd])],[]) ).
fof(f618,definition,
( sP53_prd
<=> ( op(e0,e0) != e1
| op(e0,e1) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP53_prd])],[]) ).
fof(f619,plain,
( sP49_prd
<=> ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& sP53_prd
& sP52_prd
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ),
inference(formula_renaming,[status(thm)],[f592,f618,f617]) ).
fof(f620,plain,
( ( ( op(e0,e0) = e3
& op(e0,e3) = e0 )
| ( op(e0,e0) = e2
& op(e0,e2) = e0 )
| ~ sP53_prd
| ~ sP52_prd
| op(e0,e0) != e0
| op(e0,e0) != e0
| sP49_prd )
& ( ( ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& sP53_prd
& sP52_prd
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ~ sP49_prd ) ),
inference(NNF_transformation,[status(thm)],[f619]) ).
fof(f621,plain,
( op(e0,e0) = e0
| ~ sP49_prd ),
inference(cnf_transformation,[status(thm)],[f620]) ).
fof(f623,plain,
( sP52_prd
| ~ sP49_prd ),
inference(cnf_transformation,[status(thm)],[f620]) ).
fof(f624,plain,
( sP53_prd
| ~ sP49_prd ),
inference(cnf_transformation,[status(thm)],[f620]) ).
fof(f625,plain,
( op(e0,e0) != e2
| op(e0,e2) != e0
| ~ sP49_prd ),
inference(cnf_transformation,[status(thm)],[f620]) ).
fof(f626,plain,
( op(e0,e0) != e3
| op(e0,e3) != e0
| ~ sP49_prd ),
inference(cnf_transformation,[status(thm)],[f620]) ).
fof(f631,plain,
( ( ( op(e1,e1) = e0
& op(e1,e0) = e1 )
| sP50_prd )
& ( op(e1,e1) != e0
| op(e1,e0) != e1
| ~ sP50_prd ) ),
inference(NNF_transformation,[status(thm)],[f594]) ).
fof(f632,plain,
( op(e1,e1) != e0
| op(e1,e0) != e1
| ~ sP50_prd ),
inference(cnf_transformation,[status(thm)],[f631]) ).
fof(f633,plain,
( op(e1,e0) = e1
| sP50_prd ),
inference(cnf_transformation,[status(thm)],[f631]) ).
fof(f634,plain,
( op(e1,e1) = e0
| sP50_prd ),
inference(cnf_transformation,[status(thm)],[f631]) ).
fof(f635,plain,
( ( ( op(e1,e1) = e1
& op(e1,e1) = e1 )
| sP51_prd )
& ( op(e1,e1) != e1
| op(e1,e1) != e1
| ~ sP51_prd ) ),
inference(NNF_transformation,[status(thm)],[f595]) ).
fof(f636,plain,
( op(e1,e1) != e1
| op(e1,e1) != e1
| ~ sP51_prd ),
inference(cnf_transformation,[status(thm)],[f635]) ).
fof(f637,plain,
( op(e1,e1) = e1
| sP51_prd ),
inference(cnf_transformation,[status(thm)],[f635]) ).
fof(f639,plain,
( ( ( op(e0,e0) = e0
& op(e0,e0) = e0 )
| sP52_prd )
& ( op(e0,e0) != e0
| op(e0,e0) != e0
| ~ sP52_prd ) ),
inference(NNF_transformation,[status(thm)],[f617]) ).
fof(f640,plain,
( op(e0,e0) != e0
| op(e0,e0) != e0
| ~ sP52_prd ),
inference(cnf_transformation,[status(thm)],[f639]) ).
fof(f641,plain,
( op(e0,e0) = e0
| sP52_prd ),
inference(cnf_transformation,[status(thm)],[f639]) ).
fof(f643,plain,
( ( ( op(e0,e0) = e1
& op(e0,e1) = e0 )
| sP53_prd )
& ( op(e0,e0) != e1
| op(e0,e1) != e0
| ~ sP53_prd ) ),
inference(NNF_transformation,[status(thm)],[f618]) ).
fof(f644,plain,
( op(e0,e0) != e1
| op(e0,e1) != e0
| ~ sP53_prd ),
inference(cnf_transformation,[status(thm)],[f643]) ).
fof(f645,plain,
( op(e0,e1) = e0
| sP53_prd ),
inference(cnf_transformation,[status(thm)],[f643]) ).
fof(f646,plain,
( op(e0,e0) = e1
| sP53_prd ),
inference(cnf_transformation,[status(thm)],[f643]) ).
fof(f647,definition,
( sQ0_spl
<=> op(e0,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f648,plain,
( ~ sQ0_spl
| op(e0,e0) = e0 ),
inference(component_clause,[status(thm)],[f647]) ).
fof(f650,definition,
( sQ1_spl
<=> op(e0,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f651,plain,
( ~ sQ1_spl
| op(e0,e0) = e1 ),
inference(component_clause,[status(thm)],[f650]) ).
fof(f653,definition,
( sQ2_spl
<=> op(e0,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f654,plain,
( ~ sQ2_spl
| op(e0,e0) = e2 ),
inference(component_clause,[status(thm)],[f653]) ).
fof(f656,definition,
( sQ3_spl
<=> op(e0,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f657,plain,
( ~ sQ3_spl
| op(e0,e0) = e3 ),
inference(component_clause,[status(thm)],[f656]) ).
fof(f659,plain,
( sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f30,f647,f650,f653,f656]) ).
fof(f660,definition,
( sQ4_spl
<=> op(e0,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f661,plain,
( ~ sQ4_spl
| op(e0,e1) = e0 ),
inference(component_clause,[status(thm)],[f660]) ).
fof(f663,definition,
( sQ5_spl
<=> op(e0,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f664,plain,
( ~ sQ5_spl
| op(e0,e1) = e1 ),
inference(component_clause,[status(thm)],[f663]) ).
fof(f666,definition,
( sQ6_spl
<=> op(e0,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f667,plain,
( ~ sQ6_spl
| op(e0,e1) = e2 ),
inference(component_clause,[status(thm)],[f666]) ).
fof(f669,definition,
( sQ7_spl
<=> op(e0,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f670,plain,
( ~ sQ7_spl
| op(e0,e1) = e3 ),
inference(component_clause,[status(thm)],[f669]) ).
fof(f672,plain,
( sQ7_spl
| sQ6_spl
| sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f31,f660,f663,f666,f669]) ).
fof(f673,definition,
( sQ8_spl
<=> op(e0,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f674,plain,
( ~ sQ8_spl
| op(e0,e2) = e0 ),
inference(component_clause,[status(thm)],[f673]) ).
fof(f676,definition,
( sQ9_spl
<=> op(e0,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f677,plain,
( ~ sQ9_spl
| op(e0,e2) = e1 ),
inference(component_clause,[status(thm)],[f676]) ).
fof(f679,definition,
( sQ10_spl
<=> op(e0,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f680,plain,
( ~ sQ10_spl
| op(e0,e2) = e2 ),
inference(component_clause,[status(thm)],[f679]) ).
fof(f682,definition,
( sQ11_spl
<=> op(e0,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f683,plain,
( ~ sQ11_spl
| op(e0,e2) = e3 ),
inference(component_clause,[status(thm)],[f682]) ).
fof(f685,plain,
( sQ11_spl
| sQ10_spl
| sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f32,f673,f676,f679,f682]) ).
fof(f686,definition,
( sQ12_spl
<=> op(e0,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f687,plain,
( ~ sQ12_spl
| op(e0,e3) = e0 ),
inference(component_clause,[status(thm)],[f686]) ).
fof(f689,definition,
( sQ13_spl
<=> op(e0,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f690,plain,
( ~ sQ13_spl
| op(e0,e3) = e1 ),
inference(component_clause,[status(thm)],[f689]) ).
fof(f692,definition,
( sQ14_spl
<=> op(e0,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f693,plain,
( ~ sQ14_spl
| op(e0,e3) = e2 ),
inference(component_clause,[status(thm)],[f692]) ).
fof(f695,definition,
( sQ15_spl
<=> op(e0,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f696,plain,
( ~ sQ15_spl
| op(e0,e3) = e3 ),
inference(component_clause,[status(thm)],[f695]) ).
fof(f698,plain,
( sQ15_spl
| sQ14_spl
| sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f33,f686,f689,f692,f695]) ).
fof(f699,definition,
( sQ16_spl
<=> op(e1,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f700,plain,
( ~ sQ16_spl
| op(e1,e0) = e0 ),
inference(component_clause,[status(thm)],[f699]) ).
fof(f702,definition,
( sQ17_spl
<=> op(e1,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f703,plain,
( ~ sQ17_spl
| op(e1,e0) = e1 ),
inference(component_clause,[status(thm)],[f702]) ).
fof(f705,definition,
( sQ18_spl
<=> op(e1,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f706,plain,
( ~ sQ18_spl
| op(e1,e0) = e2 ),
inference(component_clause,[status(thm)],[f705]) ).
fof(f708,definition,
( sQ19_spl
<=> op(e1,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f709,plain,
( ~ sQ19_spl
| op(e1,e0) = e3 ),
inference(component_clause,[status(thm)],[f708]) ).
fof(f711,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f34,f699,f702,f705,f708]) ).
fof(f712,definition,
( sQ20_spl
<=> op(e1,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f713,plain,
( ~ sQ20_spl
| op(e1,e1) = e0 ),
inference(component_clause,[status(thm)],[f712]) ).
fof(f715,definition,
( sQ21_spl
<=> op(e1,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f716,plain,
( ~ sQ21_spl
| op(e1,e1) = e1 ),
inference(component_clause,[status(thm)],[f715]) ).
fof(f718,definition,
( sQ22_spl
<=> op(e1,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f719,plain,
( ~ sQ22_spl
| op(e1,e1) = e2 ),
inference(component_clause,[status(thm)],[f718]) ).
fof(f721,definition,
( sQ23_spl
<=> op(e1,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f722,plain,
( ~ sQ23_spl
| op(e1,e1) = e3 ),
inference(component_clause,[status(thm)],[f721]) ).
fof(f724,plain,
( sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f35,f712,f715,f718,f721]) ).
fof(f725,definition,
( sQ24_spl
<=> op(e1,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f726,plain,
( ~ sQ24_spl
| op(e1,e2) = e0 ),
inference(component_clause,[status(thm)],[f725]) ).
fof(f728,definition,
( sQ25_spl
<=> op(e1,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f729,plain,
( ~ sQ25_spl
| op(e1,e2) = e1 ),
inference(component_clause,[status(thm)],[f728]) ).
fof(f731,definition,
( sQ26_spl
<=> op(e1,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f732,plain,
( ~ sQ26_spl
| op(e1,e2) = e2 ),
inference(component_clause,[status(thm)],[f731]) ).
fof(f734,definition,
( sQ27_spl
<=> op(e1,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f735,plain,
( ~ sQ27_spl
| op(e1,e2) = e3 ),
inference(component_clause,[status(thm)],[f734]) ).
fof(f737,plain,
( sQ27_spl
| sQ26_spl
| sQ25_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f36,f725,f728,f731,f734]) ).
fof(f738,definition,
( sQ28_spl
<=> op(e1,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f739,plain,
( ~ sQ28_spl
| op(e1,e3) = e0 ),
inference(component_clause,[status(thm)],[f738]) ).
fof(f741,definition,
( sQ29_spl
<=> op(e1,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f742,plain,
( ~ sQ29_spl
| op(e1,e3) = e1 ),
inference(component_clause,[status(thm)],[f741]) ).
fof(f744,definition,
( sQ30_spl
<=> op(e1,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f745,plain,
( ~ sQ30_spl
| op(e1,e3) = e2 ),
inference(component_clause,[status(thm)],[f744]) ).
fof(f747,definition,
( sQ31_spl
<=> op(e1,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f748,plain,
( ~ sQ31_spl
| op(e1,e3) = e3 ),
inference(component_clause,[status(thm)],[f747]) ).
fof(f750,plain,
( sQ31_spl
| sQ30_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f37,f738,f741,f744,f747]) ).
fof(f751,definition,
( sQ32_spl
<=> op(e2,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f752,plain,
( ~ sQ32_spl
| op(e2,e0) = e0 ),
inference(component_clause,[status(thm)],[f751]) ).
fof(f754,definition,
( sQ33_spl
<=> op(e2,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f755,plain,
( ~ sQ33_spl
| op(e2,e0) = e1 ),
inference(component_clause,[status(thm)],[f754]) ).
fof(f757,definition,
( sQ34_spl
<=> op(e2,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f758,plain,
( ~ sQ34_spl
| op(e2,e0) = e2 ),
inference(component_clause,[status(thm)],[f757]) ).
fof(f760,definition,
( sQ35_spl
<=> op(e2,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f761,plain,
( ~ sQ35_spl
| op(e2,e0) = e3 ),
inference(component_clause,[status(thm)],[f760]) ).
fof(f763,plain,
( sQ35_spl
| sQ34_spl
| sQ33_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f38,f751,f754,f757,f760]) ).
fof(f764,definition,
( sQ36_spl
<=> op(e2,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f765,plain,
( ~ sQ36_spl
| op(e2,e1) = e0 ),
inference(component_clause,[status(thm)],[f764]) ).
fof(f767,definition,
( sQ37_spl
<=> op(e2,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f768,plain,
( ~ sQ37_spl
| op(e2,e1) = e1 ),
inference(component_clause,[status(thm)],[f767]) ).
fof(f770,definition,
( sQ38_spl
<=> op(e2,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f771,plain,
( ~ sQ38_spl
| op(e2,e1) = e2 ),
inference(component_clause,[status(thm)],[f770]) ).
fof(f773,definition,
( sQ39_spl
<=> op(e2,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f774,plain,
( ~ sQ39_spl
| op(e2,e1) = e3 ),
inference(component_clause,[status(thm)],[f773]) ).
fof(f776,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f39,f764,f767,f770,f773]) ).
fof(f777,definition,
( sQ40_spl
<=> op(e2,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f778,plain,
( ~ sQ40_spl
| op(e2,e2) = e0 ),
inference(component_clause,[status(thm)],[f777]) ).
fof(f780,definition,
( sQ41_spl
<=> op(e2,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f781,plain,
( ~ sQ41_spl
| op(e2,e2) = e1 ),
inference(component_clause,[status(thm)],[f780]) ).
fof(f783,definition,
( sQ42_spl
<=> op(e2,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f784,plain,
( ~ sQ42_spl
| op(e2,e2) = e2 ),
inference(component_clause,[status(thm)],[f783]) ).
fof(f786,definition,
( sQ43_spl
<=> op(e2,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f787,plain,
( ~ sQ43_spl
| op(e2,e2) = e3 ),
inference(component_clause,[status(thm)],[f786]) ).
fof(f789,plain,
( sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f40,f777,f780,f783,f786]) ).
fof(f790,definition,
( sQ44_spl
<=> op(e2,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f791,plain,
( ~ sQ44_spl
| op(e2,e3) = e0 ),
inference(component_clause,[status(thm)],[f790]) ).
fof(f793,definition,
( sQ45_spl
<=> op(e2,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f794,plain,
( ~ sQ45_spl
| op(e2,e3) = e1 ),
inference(component_clause,[status(thm)],[f793]) ).
fof(f796,definition,
( sQ46_spl
<=> op(e2,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f797,plain,
( ~ sQ46_spl
| op(e2,e3) = e2 ),
inference(component_clause,[status(thm)],[f796]) ).
fof(f799,definition,
( sQ47_spl
<=> op(e2,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f800,plain,
( ~ sQ47_spl
| op(e2,e3) = e3 ),
inference(component_clause,[status(thm)],[f799]) ).
fof(f802,plain,
( sQ47_spl
| sQ46_spl
| sQ45_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f41,f790,f793,f796,f799]) ).
fof(f803,definition,
( sQ48_spl
<=> op(e3,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f804,plain,
( ~ sQ48_spl
| op(e3,e0) = e0 ),
inference(component_clause,[status(thm)],[f803]) ).
fof(f806,definition,
( sQ49_spl
<=> op(e3,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f807,plain,
( ~ sQ49_spl
| op(e3,e0) = e1 ),
inference(component_clause,[status(thm)],[f806]) ).
fof(f809,definition,
( sQ50_spl
<=> op(e3,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f810,plain,
( ~ sQ50_spl
| op(e3,e0) = e2 ),
inference(component_clause,[status(thm)],[f809]) ).
fof(f812,definition,
( sQ51_spl
<=> op(e3,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f813,plain,
( ~ sQ51_spl
| op(e3,e0) = e3 ),
inference(component_clause,[status(thm)],[f812]) ).
fof(f815,plain,
( sQ51_spl
| sQ50_spl
| sQ49_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f42,f803,f806,f809,f812]) ).
fof(f816,definition,
( sQ52_spl
<=> op(e3,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f817,plain,
( ~ sQ52_spl
| op(e3,e1) = e0 ),
inference(component_clause,[status(thm)],[f816]) ).
fof(f819,definition,
( sQ53_spl
<=> op(e3,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f820,plain,
( ~ sQ53_spl
| op(e3,e1) = e1 ),
inference(component_clause,[status(thm)],[f819]) ).
fof(f822,definition,
( sQ54_spl
<=> op(e3,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f823,plain,
( ~ sQ54_spl
| op(e3,e1) = e2 ),
inference(component_clause,[status(thm)],[f822]) ).
fof(f825,definition,
( sQ55_spl
<=> op(e3,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f826,plain,
( ~ sQ55_spl
| op(e3,e1) = e3 ),
inference(component_clause,[status(thm)],[f825]) ).
fof(f828,plain,
( sQ55_spl
| sQ54_spl
| sQ53_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f43,f816,f819,f822,f825]) ).
fof(f829,definition,
( sQ56_spl
<=> op(e3,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f830,plain,
( ~ sQ56_spl
| op(e3,e2) = e0 ),
inference(component_clause,[status(thm)],[f829]) ).
fof(f832,definition,
( sQ57_spl
<=> op(e3,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f833,plain,
( ~ sQ57_spl
| op(e3,e2) = e1 ),
inference(component_clause,[status(thm)],[f832]) ).
fof(f835,definition,
( sQ58_spl
<=> op(e3,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f836,plain,
( ~ sQ58_spl
| op(e3,e2) = e2 ),
inference(component_clause,[status(thm)],[f835]) ).
fof(f838,definition,
( sQ59_spl
<=> op(e3,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f839,plain,
( ~ sQ59_spl
| op(e3,e2) = e3 ),
inference(component_clause,[status(thm)],[f838]) ).
fof(f841,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f44,f829,f832,f835,f838]) ).
fof(f842,definition,
( sQ60_spl
<=> op(e3,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f843,plain,
( ~ sQ60_spl
| op(e3,e3) = e0 ),
inference(component_clause,[status(thm)],[f842]) ).
fof(f845,definition,
( sQ61_spl
<=> op(e3,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f846,plain,
( ~ sQ61_spl
| op(e3,e3) = e1 ),
inference(component_clause,[status(thm)],[f845]) ).
fof(f848,definition,
( sQ62_spl
<=> op(e3,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f849,plain,
( ~ sQ62_spl
| op(e3,e3) = e2 ),
inference(component_clause,[status(thm)],[f848]) ).
fof(f851,definition,
( sQ63_spl
<=> op(e3,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f852,plain,
( ~ sQ63_spl
| op(e3,e3) = e3 ),
inference(component_clause,[status(thm)],[f851]) ).
fof(f854,plain,
( sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f45,f842,f845,f848,f851]) ).
fof(f855,plain,
( sQ12_spl
| sQ8_spl
| sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f46,f647,f660,f673,f686]) ).
fof(f856,plain,
( sQ48_spl
| sQ32_spl
| sQ16_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f47,f647,f699,f751,f803]) ).
fof(f857,plain,
( sQ13_spl
| sQ9_spl
| sQ5_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f48,f650,f663,f676,f689]) ).
fof(f858,plain,
( sQ49_spl
| sQ33_spl
| sQ17_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f49,f650,f702,f754,f806]) ).
fof(f859,plain,
( sQ14_spl
| sQ10_spl
| sQ6_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f50,f653,f666,f679,f692]) ).
fof(f860,plain,
( sQ50_spl
| sQ34_spl
| sQ18_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f51,f653,f705,f757,f809]) ).
fof(f861,plain,
( sQ15_spl
| sQ11_spl
| sQ7_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f52,f656,f669,f682,f695]) ).
fof(f862,plain,
( sQ51_spl
| sQ35_spl
| sQ19_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f53,f656,f708,f760,f812]) ).
fof(f863,plain,
( sQ28_spl
| sQ24_spl
| sQ20_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f54,f699,f712,f725,f738]) ).
fof(f864,plain,
( sQ52_spl
| sQ36_spl
| sQ20_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f55,f660,f712,f764,f816]) ).
fof(f865,plain,
( sQ29_spl
| sQ25_spl
| sQ21_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f56,f702,f715,f728,f741]) ).
fof(f866,plain,
( sQ53_spl
| sQ37_spl
| sQ21_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f57,f663,f715,f767,f819]) ).
fof(f867,plain,
( sQ30_spl
| sQ26_spl
| sQ22_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f58,f705,f718,f731,f744]) ).
fof(f868,plain,
( sQ54_spl
| sQ38_spl
| sQ22_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f59,f666,f718,f770,f822]) ).
fof(f869,plain,
( sQ31_spl
| sQ27_spl
| sQ23_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f60,f708,f721,f734,f747]) ).
fof(f870,plain,
( sQ55_spl
| sQ39_spl
| sQ23_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f61,f669,f721,f773,f825]) ).
fof(f871,plain,
( sQ44_spl
| sQ40_spl
| sQ36_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f62,f751,f764,f777,f790]) ).
fof(f872,plain,
( sQ56_spl
| sQ40_spl
| sQ24_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f63,f673,f725,f777,f829]) ).
fof(f873,plain,
( sQ45_spl
| sQ41_spl
| sQ37_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f64,f754,f767,f780,f793]) ).
fof(f874,plain,
( sQ57_spl
| sQ41_spl
| sQ25_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f65,f676,f728,f780,f832]) ).
fof(f875,plain,
( sQ46_spl
| sQ42_spl
| sQ38_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f66,f757,f770,f783,f796]) ).
fof(f876,plain,
( sQ58_spl
| sQ42_spl
| sQ26_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f67,f679,f731,f783,f835]) ).
fof(f877,plain,
( sQ47_spl
| sQ43_spl
| sQ39_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f68,f760,f773,f786,f799]) ).
fof(f878,plain,
( sQ59_spl
| sQ43_spl
| sQ27_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f69,f682,f734,f786,f838]) ).
fof(f879,plain,
( sQ60_spl
| sQ56_spl
| sQ52_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f70,f803,f816,f829,f842]) ).
fof(f880,plain,
( sQ60_spl
| sQ44_spl
| sQ28_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f71,f686,f738,f790,f842]) ).
fof(f881,plain,
( sQ61_spl
| sQ57_spl
| sQ53_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f72,f806,f819,f832,f845]) ).
fof(f882,plain,
( sQ61_spl
| sQ45_spl
| sQ29_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f73,f689,f741,f793,f845]) ).
fof(f883,plain,
( sQ62_spl
| sQ58_spl
| sQ54_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f74,f809,f822,f835,f848]) ).
fof(f884,plain,
( sQ62_spl
| sQ46_spl
| sQ30_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f75,f692,f744,f796,f848]) ).
fof(f885,plain,
( sQ63_spl
| sQ59_spl
| sQ55_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f76,f812,f825,f838,f851]) ).
fof(f886,plain,
( sQ63_spl
| sQ47_spl
| sQ31_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f77,f695,f747,f799,f851]) ).
fof(f887,definition,
( sQ64_spl
<=> sP0_prd ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f890,definition,
( sQ65_spl
<=> op(e3,op(e3,e0)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f891,plain,
( ~ sQ65_spl
| op(e3,op(e3,e0)) = e0 ),
inference(component_clause,[status(thm)],[f890]) ).
fof(f893,plain,
( sQ65_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f135,f887,f890]) ).
fof(f894,definition,
( sQ66_spl
<=> op(e3,op(e3,e1)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f895,plain,
( ~ sQ66_spl
| op(e3,op(e3,e1)) = e1 ),
inference(component_clause,[status(thm)],[f894]) ).
fof(f897,plain,
( sQ66_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f136,f887,f894]) ).
fof(f898,definition,
( sQ67_spl
<=> op(e3,op(e3,e2)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f899,plain,
( ~ sQ67_spl
| op(e3,op(e3,e2)) = e2 ),
inference(component_clause,[status(thm)],[f898]) ).
fof(f901,plain,
( sQ67_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f137,f887,f898]) ).
fof(f902,definition,
( sQ68_spl
<=> op(e3,op(e3,e3)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f903,plain,
( ~ sQ68_spl
| op(e3,op(e3,e3)) = e3 ),
inference(component_clause,[status(thm)],[f902]) ).
fof(f905,plain,
( sQ68_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f138,f887,f902]) ).
fof(f906,plain,
( sQ12_spl
| ~ sQ3_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f139,f887,f656,f686]) ).
fof(f907,plain,
( sQ29_spl
| ~ sQ23_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f140,f887,f721,f741]) ).
fof(f908,plain,
( sQ46_spl
| ~ sQ43_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f141,f887,f786,f796]) ).
fof(f910,definition,
( sQ69_spl
<=> sP1_prd ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f913,plain,
( sQ63_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f143,f910,f851]) ).
fof(f915,plain,
( ~ sQ60_spl
| ~ sQ51_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f145,f910,f812,f842]) ).
fof(f916,plain,
( ~ sQ61_spl
| ~ sQ55_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f146,f910,f825,f845]) ).
fof(f917,plain,
( ~ sQ62_spl
| ~ sQ59_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f147,f910,f838,f848]) ).
fof(f918,plain,
( ~ sQ63_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f148,f910,f851]) ).
fof(f919,definition,
( sQ70_spl
<=> e2 = op(op(op(e1,e1),op(e1,e1)),op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f921,plain,
( sQ70_spl
| e2 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1)) ),
inference(component_clause,[status(thm)],[f919]) ).
fof(f922,definition,
( sQ71_spl
<=> e3 = op(op(e1,e1),op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f924,plain,
( sQ71_spl
| e3 != op(op(e1,e1),op(e1,e1)) ),
inference(component_clause,[status(thm)],[f922]) ).
fof(f925,plain,
( ~ sQ71_spl
| ~ sQ70_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f150,f712,f919,f922]) ).
fof(f926,definition,
( sQ72_spl
<=> e3 = op(op(op(e1,e1),op(e1,e1)),op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f928,plain,
( sQ72_spl
| e3 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1)) ),
inference(component_clause,[status(thm)],[f926]) ).
fof(f929,definition,
( sQ73_spl
<=> e2 = op(op(e1,e1),op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f930,plain,
( ~ sQ73_spl
| e2 = op(op(e1,e1),op(e1,e1)) ),
inference(component_clause,[status(thm)],[f929]) ).
fof(f931,plain,
( sQ73_spl
| e2 != op(op(e1,e1),op(e1,e1)) ),
inference(component_clause,[status(thm)],[f929]) ).
fof(f932,plain,
( ~ sQ73_spl
| ~ sQ72_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f152,f712,f926,f929]) ).
fof(f933,definition,
( sQ74_spl
<=> e1 = op(op(op(e2,e2),op(e2,e2)),op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f935,plain,
( sQ74_spl
| e1 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2)) ),
inference(component_clause,[status(thm)],[f933]) ).
fof(f936,definition,
( sQ75_spl
<=> e3 = op(op(e2,e2),op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f938,plain,
( sQ75_spl
| e3 != op(op(e2,e2),op(e2,e2)) ),
inference(component_clause,[status(thm)],[f936]) ).
fof(f939,plain,
( ~ sQ75_spl
| ~ sQ74_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f154,f777,f933,f936]) ).
fof(f940,definition,
( sQ76_spl
<=> e3 = op(op(op(e2,e2),op(e2,e2)),op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f941,plain,
( ~ sQ76_spl
| e3 = op(op(op(e2,e2),op(e2,e2)),op(e2,e2)) ),
inference(component_clause,[status(thm)],[f940]) ).
fof(f942,plain,
( sQ76_spl
| e3 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2)) ),
inference(component_clause,[status(thm)],[f940]) ).
fof(f943,definition,
( sQ77_spl
<=> e1 = op(op(e2,e2),op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f945,plain,
( sQ77_spl
| e1 != op(op(e2,e2),op(e2,e2)) ),
inference(component_clause,[status(thm)],[f943]) ).
fof(f946,plain,
( ~ sQ77_spl
| ~ sQ76_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f156,f777,f940,f943]) ).
fof(f947,definition,
( sQ78_spl
<=> e1 = op(op(op(e3,e3),op(e3,e3)),op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f949,plain,
( sQ78_spl
| e1 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3)) ),
inference(component_clause,[status(thm)],[f947]) ).
fof(f950,definition,
( sQ79_spl
<=> e2 = op(op(e3,e3),op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f952,plain,
( sQ79_spl
| e2 != op(op(e3,e3),op(e3,e3)) ),
inference(component_clause,[status(thm)],[f950]) ).
fof(f953,plain,
( ~ sQ79_spl
| ~ sQ78_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f158,f842,f947,f950]) ).
fof(f954,definition,
( sQ80_spl
<=> e2 = op(op(op(e3,e3),op(e3,e3)),op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f955,plain,
( ~ sQ80_spl
| e2 = op(op(op(e3,e3),op(e3,e3)),op(e3,e3)) ),
inference(component_clause,[status(thm)],[f954]) ).
fof(f956,plain,
( sQ80_spl
| e2 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3)) ),
inference(component_clause,[status(thm)],[f954]) ).
fof(f957,definition,
( sQ81_spl
<=> e1 = op(op(e3,e3),op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f959,plain,
( sQ81_spl
| e1 != op(op(e3,e3),op(e3,e3)) ),
inference(component_clause,[status(thm)],[f957]) ).
fof(f960,plain,
( ~ sQ81_spl
| ~ sQ80_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f160,f842,f954,f957]) ).
fof(f961,definition,
( sQ82_spl
<=> e2 = op(op(op(e0,e0),op(e0,e0)),op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f963,plain,
( sQ82_spl
| e2 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0)) ),
inference(component_clause,[status(thm)],[f961]) ).
fof(f964,definition,
( sQ83_spl
<=> e3 = op(op(e0,e0),op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f966,plain,
( sQ83_spl
| e3 != op(op(e0,e0),op(e0,e0)) ),
inference(component_clause,[status(thm)],[f964]) ).
fof(f967,plain,
( ~ sQ83_spl
| ~ sQ82_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f162,f650,f961,f964]) ).
fof(f968,definition,
( sQ84_spl
<=> e3 = op(op(op(e0,e0),op(e0,e0)),op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f970,plain,
( sQ84_spl
| e3 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0)) ),
inference(component_clause,[status(thm)],[f968]) ).
fof(f971,definition,
( sQ85_spl
<=> e2 = op(op(e0,e0),op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f973,plain,
( sQ85_spl
| e2 != op(op(e0,e0),op(e0,e0)) ),
inference(component_clause,[status(thm)],[f971]) ).
fof(f974,plain,
( ~ sQ85_spl
| ~ sQ84_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f164,f650,f968,f971]) ).
fof(f975,definition,
( sQ86_spl
<=> e0 = op(op(op(e2,e2),op(e2,e2)),op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f977,plain,
( sQ86_spl
| e0 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2)) ),
inference(component_clause,[status(thm)],[f975]) ).
fof(f978,plain,
( ~ sQ75_spl
| ~ sQ86_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f166,f780,f975,f936]) ).
fof(f979,definition,
( sQ87_spl
<=> e0 = op(op(e2,e2),op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f981,plain,
( sQ87_spl
| e0 != op(op(e2,e2),op(e2,e2)) ),
inference(component_clause,[status(thm)],[f979]) ).
fof(f982,plain,
( ~ sQ87_spl
| ~ sQ76_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f168,f780,f940,f979]) ).
fof(f983,definition,
( sQ88_spl
<=> e0 = op(op(op(e3,e3),op(e3,e3)),op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f985,plain,
( sQ88_spl
| e0 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3)) ),
inference(component_clause,[status(thm)],[f983]) ).
fof(f986,plain,
( ~ sQ79_spl
| ~ sQ88_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f170,f845,f983,f950]) ).
fof(f987,definition,
( sQ89_spl
<=> e0 = op(op(e3,e3),op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f989,plain,
( sQ89_spl
| e0 != op(op(e3,e3),op(e3,e3)) ),
inference(component_clause,[status(thm)],[f987]) ).
fof(f990,plain,
( ~ sQ89_spl
| ~ sQ80_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f172,f845,f954,f987]) ).
fof(f991,definition,
( sQ90_spl
<=> e1 = op(op(op(e0,e0),op(e0,e0)),op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f993,plain,
( sQ90_spl
| e1 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0)) ),
inference(component_clause,[status(thm)],[f991]) ).
fof(f994,plain,
( ~ sQ83_spl
| ~ sQ90_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f174,f653,f991,f964]) ).
fof(f995,definition,
( sQ91_spl
<=> e1 = op(op(e0,e0),op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f997,plain,
( sQ91_spl
| e1 != op(op(e0,e0),op(e0,e0)) ),
inference(component_clause,[status(thm)],[f995]) ).
fof(f998,plain,
( ~ sQ91_spl
| ~ sQ84_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f176,f653,f968,f995]) ).
fof(f999,definition,
( sQ92_spl
<=> e0 = op(op(op(e1,e1),op(e1,e1)),op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f1001,plain,
( sQ92_spl
| e0 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1)) ),
inference(component_clause,[status(thm)],[f999]) ).
fof(f1002,plain,
( ~ sQ71_spl
| ~ sQ92_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f178,f718,f999,f922]) ).
fof(f1003,definition,
( sQ93_spl
<=> e0 = op(op(e1,e1),op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f1005,plain,
( sQ93_spl
| e0 != op(op(e1,e1),op(e1,e1)) ),
inference(component_clause,[status(thm)],[f1003]) ).
fof(f1006,plain,
( ~ sQ93_spl
| ~ sQ72_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f180,f718,f926,f1003]) ).
fof(f1007,plain,
( ~ sQ81_spl
| ~ sQ88_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f182,f848,f983,f957]) ).
fof(f1008,plain,
( ~ sQ89_spl
| ~ sQ78_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f184,f848,f947,f987]) ).
fof(f1009,plain,
( ~ sQ85_spl
| ~ sQ90_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f186,f656,f991,f971]) ).
fof(f1010,plain,
( ~ sQ91_spl
| ~ sQ82_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f188,f656,f961,f995]) ).
fof(f1011,plain,
( ~ sQ73_spl
| ~ sQ92_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f190,f721,f999,f929]) ).
fof(f1012,plain,
( ~ sQ93_spl
| ~ sQ70_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f192,f721,f919,f1003]) ).
fof(f1013,plain,
( ~ sQ77_spl
| ~ sQ86_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f194,f786,f975,f943]) ).
fof(f1014,plain,
( ~ sQ87_spl
| ~ sQ74_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f196,f786,f933,f979]) ).
fof(f1015,definition,
( sQ94_spl
<=> sP2_prd ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f1018,definition,
( sQ95_spl
<=> op(e2,op(e2,e0)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f1019,plain,
( ~ sQ95_spl
| op(e2,op(e2,e0)) = e0 ),
inference(component_clause,[status(thm)],[f1018]) ).
fof(f1020,plain,
( sQ95_spl
| op(e2,op(e2,e0)) != e0 ),
inference(component_clause,[status(thm)],[f1018]) ).
fof(f1021,plain,
( sQ95_spl
| sQ94_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f203,f887,f1015,f1018]) ).
fof(f1022,definition,
( sQ96_spl
<=> op(e2,op(e2,e1)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f1023,plain,
( ~ sQ96_spl
| op(e2,op(e2,e1)) = e1 ),
inference(component_clause,[status(thm)],[f1022]) ).
fof(f1025,plain,
( sQ96_spl
| sQ94_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f204,f887,f1015,f1022]) ).
fof(f1026,definition,
( sQ97_spl
<=> op(e2,op(e2,e2)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f1029,plain,
( sQ97_spl
| sQ94_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f205,f887,f1015,f1026]) ).
fof(f1030,definition,
( sQ98_spl
<=> op(e2,op(e2,e3)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f1033,plain,
( sQ98_spl
| sQ94_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f206,f887,f1015,f1030]) ).
fof(f1034,definition,
( sQ99_spl
<=> sP3_prd ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f1037,plain,
( sQ99_spl
| sQ94_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f207,f887,f1015,f1034]) ).
fof(f1038,definition,
( sQ100_spl
<=> sP4_prd ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f1041,plain,
( sQ100_spl
| sQ94_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f208,f887,f1015,f1038]) ).
fof(f1043,plain,
( sQ59_spl
| ~ sQ62_spl
| sQ94_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f210,f887,f1015,f848,f838]) ).
fof(f1044,plain,
( ~ sQ94_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f211,f887,f1015]) ).
fof(f1049,definition,
( sQ101_spl
<=> sP5_prd ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f1052,plain,
( sQ59_spl
| sQ101_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f222,f910,f1049,f838]) ).
fof(f1053,plain,
( sQ47_spl
| sQ101_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f223,f910,f1049,f799]) ).
fof(f1054,definition,
( sQ102_spl
<=> sP6_prd ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f1057,plain,
( sQ102_spl
| sQ101_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f224,f910,f1049,f1054]) ).
fof(f1058,definition,
( sQ103_spl
<=> sP7_prd ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f1061,plain,
( sQ103_spl
| sQ101_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f225,f910,f1049,f1058]) ).
fof(f1062,plain,
( ~ sQ42_spl
| sQ101_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f226,f910,f1049,f783]) ).
fof(f1064,plain,
( ~ sQ101_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f228,f910,f1049]) ).
fof(f1069,definition,
( sQ104_spl
<=> sP8_prd ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f1072,definition,
( sQ105_spl
<=> op(e1,op(e1,e0)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f1073,plain,
( ~ sQ105_spl
| op(e1,op(e1,e0)) = e0 ),
inference(component_clause,[status(thm)],[f1072]) ).
fof(f1075,plain,
( sQ105_spl
| sQ104_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f239,f1015,f1069,f1072]) ).
fof(f1076,definition,
( sQ106_spl
<=> op(e1,op(e1,e1)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f1077,plain,
( ~ sQ106_spl
| op(e1,op(e1,e1)) = e1 ),
inference(component_clause,[status(thm)],[f1076]) ).
fof(f1079,plain,
( sQ106_spl
| sQ104_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f240,f1015,f1069,f1076]) ).
fof(f1080,definition,
( sQ107_spl
<=> op(e1,op(e1,e2)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f1081,plain,
( ~ sQ107_spl
| op(e1,op(e1,e2)) = e2 ),
inference(component_clause,[status(thm)],[f1080]) ).
fof(f1083,plain,
( sQ107_spl
| sQ104_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f241,f1015,f1069,f1080]) ).
fof(f1084,definition,
( sQ108_spl
<=> op(e1,op(e1,e3)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f1085,plain,
( ~ sQ108_spl
| op(e1,op(e1,e3)) = e3 ),
inference(component_clause,[status(thm)],[f1084]) ).
fof(f1086,plain,
( sQ108_spl
| op(e1,op(e1,e3)) != e3 ),
inference(component_clause,[status(thm)],[f1084]) ).
fof(f1087,plain,
( sQ108_spl
| sQ104_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f242,f1015,f1069,f1084]) ).
fof(f1088,definition,
( sQ109_spl
<=> sP9_prd ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f1091,plain,
( sQ109_spl
| sQ104_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f243,f1015,f1069,f1088]) ).
fof(f1092,definition,
( sQ110_spl
<=> sP10_prd ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f1095,plain,
( sQ110_spl
| sQ104_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f244,f1015,f1069,f1092]) ).
fof(f1096,plain,
( sQ38_spl
| ~ sQ41_spl
| sQ104_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f245,f1015,f1069,f780,f770]) ).
fof(f1097,plain,
( sQ55_spl
| ~ sQ61_spl
| sQ104_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f246,f1015,f1069,f845,f825]) ).
fof(f1098,plain,
( ~ sQ104_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f247,f1015,f1069]) ).
fof(f1103,plain,
( sQ8_spl
| ~ sQ2_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f253,f1034,f653,f673]) ).
fof(f1104,plain,
( sQ2_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f254,f1034,f653]) ).
fof(f1105,plain,
( ~ sQ8_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f255,f1034,f673]) ).
fof(f1106,plain,
( sQ25_spl
| ~ sQ22_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f257,f1038,f718,f728]) ).
fof(f1107,plain,
( sQ22_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f258,f1038,f718]) ).
fof(f1109,definition,
( sQ111_spl
<=> sP11_prd ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f1112,plain,
( sQ55_spl
| sQ111_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f266,f1049,f1109,f825]) ).
fof(f1113,plain,
( sQ31_spl
| sQ111_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f267,f1049,f1109,f747]) ).
fof(f1114,definition,
( sQ112_spl
<=> sP12_prd ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f1117,plain,
( sQ112_spl
| sQ111_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f268,f1049,f1109,f1114]) ).
fof(f1118,definition,
( sQ113_spl
<=> sP13_prd ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f1121,plain,
( sQ113_spl
| sQ111_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f269,f1049,f1109,f1118]) ).
fof(f1122,plain,
( ~ sQ22_spl
| ~ sQ25_spl
| sQ111_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f270,f1049,f1109,f728,f718]) ).
fof(f1124,plain,
( ~ sQ111_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f272,f1049,f1109]) ).
fof(f1129,plain,
( ~ sQ40_spl
| ~ sQ34_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f278,f1054,f757,f777]) ).
fof(f1130,plain,
( sQ34_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f279,f1054,f757]) ).
fof(f1131,plain,
( sQ40_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f280,f1054,f777]) ).
fof(f1132,plain,
( ~ sQ41_spl
| ~ sQ38_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f282,f1058,f770,f780]) ).
fof(f1133,plain,
( sQ38_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f283,f1058,f770]) ).
fof(f1134,plain,
( sQ41_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f284,f1058,f780]) ).
fof(f1135,definition,
( sQ114_spl
<=> op(e0,op(e0,e0)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f1136,plain,
( ~ sQ114_spl
| op(e0,op(e0,e0)) = e0 ),
inference(component_clause,[status(thm)],[f1135]) ).
fof(f1138,plain,
( sQ114_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f289,f1069,f1135]) ).
fof(f1139,definition,
( sQ115_spl
<=> op(e0,op(e0,e1)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f1140,plain,
( ~ sQ115_spl
| op(e0,op(e0,e1)) = e1 ),
inference(component_clause,[status(thm)],[f1139]) ).
fof(f1141,plain,
( sQ115_spl
| op(e0,op(e0,e1)) != e1 ),
inference(component_clause,[status(thm)],[f1139]) ).
fof(f1142,plain,
( sQ115_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f290,f1069,f1139]) ).
fof(f1143,definition,
( sQ116_spl
<=> op(e0,op(e0,e2)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f1144,plain,
( ~ sQ116_spl
| op(e0,op(e0,e2)) = e2 ),
inference(component_clause,[status(thm)],[f1143]) ).
fof(f1145,plain,
( sQ116_spl
| op(e0,op(e0,e2)) != e2 ),
inference(component_clause,[status(thm)],[f1143]) ).
fof(f1146,plain,
( sQ116_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f291,f1069,f1143]) ).
fof(f1147,definition,
( sQ117_spl
<=> op(e0,op(e0,e3)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f1148,plain,
( ~ sQ117_spl
| op(e0,op(e0,e3)) = e3 ),
inference(component_clause,[status(thm)],[f1147]) ).
fof(f1149,plain,
( sQ117_spl
| op(e0,op(e0,e3)) != e3 ),
inference(component_clause,[status(thm)],[f1147]) ).
fof(f1150,plain,
( sQ117_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f292,f1069,f1147]) ).
fof(f1151,definition,
( sQ118_spl
<=> sP14_prd ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f1154,plain,
( sQ118_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f293,f1069,f1151]) ).
fof(f1155,definition,
( sQ119_spl
<=> sP15_prd ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f1158,plain,
( sQ119_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f294,f1069,f1155]) ).
fof(f1159,plain,
( sQ34_spl
| ~ sQ40_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f295,f1069,f777,f757]) ).
fof(f1160,plain,
( sQ51_spl
| ~ sQ60_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f296,f1069,f842,f812]) ).
fof(f1165,plain,
( sQ4_spl
| ~ sQ1_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f302,f1088,f650,f660]) ).
fof(f1166,plain,
( sQ1_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f303,f1088,f650]) ).
fof(f1167,plain,
( ~ sQ4_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f304,f1088,f660]) ).
fof(f1169,plain,
( sQ21_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f307,f1092,f715]) ).
fof(f1170,plain,
( ~ sQ21_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f308,f1092,f715]) ).
fof(f1171,definition,
( sQ120_spl
<=> sP16_prd ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f1174,plain,
( sQ51_spl
| sQ120_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f315,f1109,f1171,f812]) ).
fof(f1175,plain,
( sQ15_spl
| sQ120_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f316,f1109,f1171,f695]) ).
fof(f1176,definition,
( sQ121_spl
<=> sP17_prd ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f1179,plain,
( sQ121_spl
| sQ120_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f317,f1109,f1171,f1176]) ).
fof(f1180,definition,
( sQ122_spl
<=> sP18_prd ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f1183,plain,
( sQ122_spl
| sQ120_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f318,f1109,f1171,f1180]) ).
fof(f1184,plain,
( ~ sQ2_spl
| ~ sQ8_spl
| sQ120_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f319,f1109,f1171,f673,f653]) ).
fof(f1185,plain,
( ~ sQ3_spl
| ~ sQ12_spl
| sQ120_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f320,f1109,f1171,f686,f656]) ).
fof(f1186,plain,
( ~ sQ120_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f321,f1109,f1171]) ).
fof(f1191,plain,
( ~ sQ20_spl
| ~ sQ17_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f327,f1114,f702,f712]) ).
fof(f1192,plain,
( sQ17_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f328,f1114,f702]) ).
fof(f1193,plain,
( sQ20_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f329,f1114,f712]) ).
fof(f1194,plain,
( ~ sQ21_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f331,f1118,f715]) ).
fof(f1195,plain,
( sQ21_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f332,f1118,f715]) ).
fof(f1198,plain,
( sQ0_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f336,f1151,f647]) ).
fof(f1199,plain,
( ~ sQ0_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f337,f1151,f647]) ).
fof(f1200,plain,
( sQ17_spl
| ~ sQ20_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f339,f1155,f712,f702]) ).
fof(f1201,plain,
( sQ20_spl
| sQ119_spl ),
inference(split_clause,[status(thm)],[f340,f1155,f712]) ).
fof(f1202,plain,
( ~ sQ17_spl
| sQ119_spl ),
inference(split_clause,[status(thm)],[f341,f1155,f702]) ).
fof(f1203,definition,
( sQ123_spl
<=> sP19_prd ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f1206,plain,
( sQ46_spl
| sQ123_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f348,f1171,f1203,f796]) ).
fof(f1207,plain,
( sQ58_spl
| sQ123_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f349,f1171,f1203,f835]) ).
fof(f1208,definition,
( sQ124_spl
<=> sP20_prd ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f1211,plain,
( sQ124_spl
| sQ123_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f350,f1171,f1203,f1208]) ).
fof(f1212,definition,
( sQ125_spl
<=> sP21_prd ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f1215,plain,
( sQ125_spl
| sQ123_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f351,f1171,f1203,f1212]) ).
fof(f1217,plain,
( ~ sQ63_spl
| sQ123_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f353,f1171,f1203,f851]) ).
fof(f1218,plain,
( ~ sQ123_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f354,f1171,f1203]) ).
fof(f1223,plain,
( ~ sQ0_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f360,f1176,f647]) ).
fof(f1224,plain,
( sQ0_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f361,f1176,f647]) ).
fof(f1226,plain,
( ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f364,f1180,f660,f650]) ).
fof(f1227,plain,
( sQ4_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f365,f1180,f660]) ).
fof(f1228,plain,
( sQ1_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f366,f1180,f650]) ).
fof(f1229,definition,
( sQ126_spl
<=> sP22_prd ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f1232,plain,
( sQ42_spl
| sQ126_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f373,f1203,f1229,f783]) ).
fof(f1234,definition,
( sQ127_spl
<=> sP23_prd ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f1238,definition,
( sQ128_spl
<=> sP24_prd ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f1241,plain,
( sQ128_spl
| sQ126_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f376,f1203,f1229,f1238]) ).
fof(f1242,plain,
( ~ sQ42_spl
| sQ126_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f377,f1203,f1229,f783]) ).
fof(f1243,plain,
( ~ sQ43_spl
| ~ sQ46_spl
| sQ126_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f378,f1203,f1229,f796,f786]) ).
fof(f1244,plain,
( ~ sQ126_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f379,f1203,f1229]) ).
fof(f1249,plain,
( ~ sQ60_spl
| ~ sQ51_spl
| ~ sQ124_spl ),
inference(split_clause,[status(thm)],[f385,f1208,f812,f842]) ).
fof(f1250,plain,
( sQ51_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f386,f1208,f812]) ).
fof(f1251,plain,
( sQ60_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f387,f1208,f842]) ).
fof(f1252,plain,
( ~ sQ61_spl
| ~ sQ55_spl
| ~ sQ125_spl ),
inference(split_clause,[status(thm)],[f389,f1212,f825,f845]) ).
fof(f1253,plain,
( sQ55_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f390,f1212,f825]) ).
fof(f1254,plain,
( sQ61_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f391,f1212,f845]) ).
fof(f1255,definition,
( sQ129_spl
<=> sP25_prd ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f1258,plain,
( sQ38_spl
| sQ129_spl
| ~ sQ126_spl ),
inference(split_clause,[status(thm)],[f398,f1229,f1255,f770]) ).
fof(f1259,plain,
( sQ26_spl
| sQ129_spl
| ~ sQ126_spl ),
inference(split_clause,[status(thm)],[f399,f1229,f1255,f731]) ).
fof(f1260,definition,
( sQ130_spl
<=> sP26_prd ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f1263,plain,
( sQ130_spl
| sQ129_spl
| ~ sQ126_spl ),
inference(split_clause,[status(thm)],[f400,f1229,f1255,f1260]) ).
fof(f1264,definition,
( sQ131_spl
<=> sP27_prd ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f1267,plain,
( sQ131_spl
| sQ129_spl
| ~ sQ126_spl ),
inference(split_clause,[status(thm)],[f401,f1229,f1255,f1264]) ).
fof(f1269,plain,
( ~ sQ23_spl
| ~ sQ29_spl
| sQ129_spl
| ~ sQ126_spl ),
inference(split_clause,[status(thm)],[f403,f1229,f1255,f741,f721]) ).
fof(f1270,plain,
( ~ sQ129_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f404,f1229,f1255]) ).
fof(f1274,plain,
( sQ23_spl
| sQ22_spl
| ~ sQ131_spl
| ~ sQ130_spl
| ~ sQ26_spl
| ~ sQ38_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f408,f1229,f770,f731,f1260,f1264,f718,f721]) ).
fof(f1275,plain,
( ~ sQ40_spl
| ~ sQ34_spl
| ~ sQ127_spl ),
inference(split_clause,[status(thm)],[f410,f1234,f757,f777]) ).
fof(f1276,plain,
( sQ34_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f411,f1234,f757]) ).
fof(f1277,plain,
( sQ40_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f412,f1234,f777]) ).
fof(f1278,plain,
( ~ sQ41_spl
| ~ sQ38_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f414,f1238,f770,f780]) ).
fof(f1279,plain,
( sQ38_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f415,f1238,f770]) ).
fof(f1280,plain,
( sQ41_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f416,f1238,f780]) ).
fof(f1281,definition,
( sQ132_spl
<=> sP28_prd ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f1284,plain,
( sQ34_spl
| sQ132_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f423,f1255,f1281,f757]) ).
fof(f1285,plain,
( sQ10_spl
| sQ132_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f424,f1255,f1281,f679]) ).
fof(f1286,definition,
( sQ133_spl
<=> sP29_prd ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f1289,plain,
( sQ133_spl
| sQ132_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f425,f1255,f1281,f1286]) ).
fof(f1290,definition,
( sQ134_spl
<=> sP30_prd ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f1293,plain,
( sQ134_spl
| sQ132_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f426,f1255,f1281,f1290]) ).
fof(f1294,plain,
( ~ sQ2_spl
| ~ sQ8_spl
| sQ132_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f427,f1255,f1281,f673,f653]) ).
fof(f1295,plain,
( ~ sQ3_spl
| ~ sQ12_spl
| sQ132_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f428,f1255,f1281,f686,f656]) ).
fof(f1296,plain,
( ~ sQ132_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f429,f1255,f1281]) ).
fof(f1299,plain,
( sQ12_spl
| sQ2_spl
| ~ sQ134_spl
| ~ sQ133_spl
| ~ sQ10_spl
| ~ sQ34_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f432,f1255,f757,f679,f1286,f1290,f653,f686]) ).
fof(f1300,plain,
( sQ3_spl
| sQ2_spl
| ~ sQ134_spl
| ~ sQ133_spl
| ~ sQ10_spl
| ~ sQ34_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f433,f1255,f757,f679,f1286,f1290,f653,f656]) ).
fof(f1301,plain,
( ~ sQ20_spl
| ~ sQ17_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f435,f1260,f702,f712]) ).
fof(f1302,plain,
( sQ17_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f436,f1260,f702]) ).
fof(f1303,plain,
( sQ20_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f437,f1260,f712]) ).
fof(f1304,plain,
( ~ sQ21_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f439,f1264,f715]) ).
fof(f1305,plain,
( sQ21_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f440,f1264,f715]) ).
fof(f1307,definition,
( sQ135_spl
<=> sP31_prd ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f1310,plain,
( sQ29_spl
| sQ135_spl
| ~ sQ132_spl ),
inference(split_clause,[status(thm)],[f448,f1281,f1307,f741]) ).
fof(f1311,plain,
( sQ53_spl
| sQ135_spl
| ~ sQ132_spl ),
inference(split_clause,[status(thm)],[f449,f1281,f1307,f819]) ).
fof(f1312,definition,
( sQ136_spl
<=> sP32_prd ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f1315,plain,
( sQ136_spl
| sQ135_spl
| ~ sQ132_spl ),
inference(split_clause,[status(thm)],[f450,f1281,f1307,f1312]) ).
fof(f1316,definition,
( sQ137_spl
<=> sP33_prd ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f1320,plain,
( ~ sQ62_spl
| ~ sQ59_spl
| sQ135_spl
| ~ sQ132_spl ),
inference(split_clause,[status(thm)],[f452,f1281,f1307,f838,f848]) ).
fof(f1321,plain,
( ~ sQ63_spl
| sQ135_spl
| ~ sQ132_spl ),
inference(split_clause,[status(thm)],[f453,f1281,f1307,f851]) ).
fof(f1322,plain,
( ~ sQ135_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f454,f1281,f1307]) ).
fof(f1323,plain,
( sQ63_spl
| sQ59_spl
| ~ sQ137_spl
| ~ sQ136_spl
| ~ sQ53_spl
| ~ sQ29_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f455,f1281,f741,f819,f1312,f1316,f838,f851]) ).
fof(f1325,plain,
( sQ63_spl
| sQ62_spl
| ~ sQ137_spl
| ~ sQ136_spl
| ~ sQ53_spl
| ~ sQ29_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f457,f1281,f741,f819,f1312,f1316,f848,f851]) ).
fof(f1327,plain,
( ~ sQ0_spl
| ~ sQ133_spl ),
inference(split_clause,[status(thm)],[f460,f1286,f647]) ).
fof(f1328,plain,
( sQ0_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f461,f1286,f647]) ).
fof(f1330,plain,
( ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ134_spl ),
inference(split_clause,[status(thm)],[f464,f1290,f660,f650]) ).
fof(f1331,plain,
( sQ4_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f465,f1290,f660]) ).
fof(f1332,plain,
( sQ1_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f466,f1290,f650]) ).
fof(f1333,definition,
( sQ138_spl
<=> sP34_prd ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f1336,plain,
( sQ25_spl
| sQ138_spl
| ~ sQ135_spl ),
inference(split_clause,[status(thm)],[f473,f1307,f1333,f728]) ).
fof(f1337,plain,
( sQ37_spl
| sQ138_spl
| ~ sQ135_spl ),
inference(split_clause,[status(thm)],[f474,f1307,f1333,f767]) ).
fof(f1338,definition,
( sQ139_spl
<=> sP35_prd ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f1341,plain,
( sQ139_spl
| sQ138_spl
| ~ sQ135_spl ),
inference(split_clause,[status(thm)],[f475,f1307,f1333,f1338]) ).
fof(f1342,definition,
( sQ140_spl
<=> sP36_prd ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f1346,plain,
( ~ sQ42_spl
| sQ138_spl
| ~ sQ135_spl ),
inference(split_clause,[status(thm)],[f477,f1307,f1333,f783]) ).
fof(f1347,plain,
( ~ sQ43_spl
| ~ sQ46_spl
| sQ138_spl
| ~ sQ135_spl ),
inference(split_clause,[status(thm)],[f478,f1307,f1333,f796,f786]) ).
fof(f1348,plain,
( ~ sQ138_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f479,f1307,f1333]) ).
fof(f1349,plain,
( sQ46_spl
| sQ42_spl
| ~ sQ140_spl
| ~ sQ139_spl
| ~ sQ37_spl
| ~ sQ25_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f480,f1307,f728,f767,f1338,f1342,f783,f796]) ).
fof(f1350,plain,
( sQ43_spl
| sQ42_spl
| ~ sQ140_spl
| ~ sQ139_spl
| ~ sQ37_spl
| ~ sQ25_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f481,f1307,f728,f767,f1338,f1342,f783,f786]) ).
fof(f1353,plain,
( ~ sQ60_spl
| ~ sQ51_spl
| ~ sQ136_spl ),
inference(split_clause,[status(thm)],[f485,f1312,f812,f842]) ).
fof(f1354,plain,
( sQ51_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f486,f1312,f812]) ).
fof(f1355,plain,
( sQ60_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f487,f1312,f842]) ).
fof(f1356,plain,
( ~ sQ61_spl
| ~ sQ55_spl
| ~ sQ137_spl ),
inference(split_clause,[status(thm)],[f489,f1316,f825,f845]) ).
fof(f1357,plain,
( sQ55_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f490,f1316,f825]) ).
fof(f1358,plain,
( sQ61_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f491,f1316,f845]) ).
fof(f1359,definition,
( sQ141_spl
<=> sP37_prd ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f1362,plain,
( sQ21_spl
| sQ141_spl
| ~ sQ138_spl ),
inference(split_clause,[status(thm)],[f498,f1333,f1359,f715]) ).
fof(f1364,definition,
( sQ142_spl
<=> sP38_prd ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f1368,definition,
( sQ143_spl
<=> sP39_prd ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f1371,plain,
( sQ143_spl
| sQ141_spl
| ~ sQ138_spl ),
inference(split_clause,[status(thm)],[f501,f1333,f1359,f1368]) ).
fof(f1373,plain,
( ~ sQ23_spl
| ~ sQ29_spl
| sQ141_spl
| ~ sQ138_spl ),
inference(split_clause,[status(thm)],[f503,f1333,f1359,f741,f721]) ).
fof(f1374,plain,
( ~ sQ141_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f504,f1333,f1359]) ).
fof(f1379,plain,
( ~ sQ40_spl
| ~ sQ34_spl
| ~ sQ139_spl ),
inference(split_clause,[status(thm)],[f510,f1338,f757,f777]) ).
fof(f1380,plain,
( sQ34_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f511,f1338,f757]) ).
fof(f1381,plain,
( sQ40_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f512,f1338,f777]) ).
fof(f1382,plain,
( ~ sQ41_spl
| ~ sQ38_spl
| ~ sQ140_spl ),
inference(split_clause,[status(thm)],[f514,f1342,f770,f780]) ).
fof(f1383,plain,
( sQ38_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f515,f1342,f770]) ).
fof(f1384,plain,
( sQ41_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f516,f1342,f780]) ).
fof(f1385,definition,
( sQ144_spl
<=> sP40_prd ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f1388,plain,
( sQ17_spl
| sQ144_spl
| ~ sQ141_spl ),
inference(split_clause,[status(thm)],[f523,f1359,f1385,f702]) ).
fof(f1389,plain,
( sQ5_spl
| sQ144_spl
| ~ sQ141_spl ),
inference(split_clause,[status(thm)],[f524,f1359,f1385,f663]) ).
fof(f1390,definition,
( sQ145_spl
<=> sP41_prd ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f1393,plain,
( sQ145_spl
| sQ144_spl
| ~ sQ141_spl ),
inference(split_clause,[status(thm)],[f525,f1359,f1385,f1390]) ).
fof(f1394,definition,
( sQ146_spl
<=> sP42_prd ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f1397,plain,
( sQ146_spl
| sQ144_spl
| ~ sQ141_spl ),
inference(split_clause,[status(thm)],[f526,f1359,f1385,f1394]) ).
fof(f1398,plain,
( ~ sQ2_spl
| ~ sQ8_spl
| sQ144_spl
| ~ sQ141_spl ),
inference(split_clause,[status(thm)],[f527,f1359,f1385,f673,f653]) ).
fof(f1399,plain,
( ~ sQ3_spl
| ~ sQ12_spl
| sQ144_spl
| ~ sQ141_spl ),
inference(split_clause,[status(thm)],[f528,f1359,f1385,f686,f656]) ).
fof(f1400,plain,
( ~ sQ144_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f529,f1359,f1385]) ).
fof(f1402,plain,
( sQ3_spl
| sQ8_spl
| ~ sQ146_spl
| ~ sQ145_spl
| ~ sQ5_spl
| ~ sQ17_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f531,f1359,f702,f663,f1390,f1394,f673,f656]) ).
fof(f1403,plain,
( sQ12_spl
| sQ2_spl
| ~ sQ146_spl
| ~ sQ145_spl
| ~ sQ5_spl
| ~ sQ17_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f532,f1359,f702,f663,f1390,f1394,f653,f686]) ).
fof(f1405,plain,
( ~ sQ20_spl
| ~ sQ17_spl
| ~ sQ142_spl ),
inference(split_clause,[status(thm)],[f535,f1364,f702,f712]) ).
fof(f1406,plain,
( sQ17_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f536,f1364,f702]) ).
fof(f1407,plain,
( sQ20_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f537,f1364,f712]) ).
fof(f1408,plain,
( ~ sQ21_spl
| ~ sQ143_spl ),
inference(split_clause,[status(thm)],[f539,f1368,f715]) ).
fof(f1409,plain,
( sQ21_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f540,f1368,f715]) ).
fof(f1411,definition,
( sQ147_spl
<=> sP43_prd ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f1414,plain,
( sQ12_spl
| sQ147_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f548,f1385,f1411,f686]) ).
fof(f1415,plain,
( sQ48_spl
| sQ147_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f549,f1385,f1411,f803]) ).
fof(f1416,definition,
( sQ148_spl
<=> sP44_prd ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f1420,definition,
( sQ149_spl
<=> sP45_prd ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f1423,plain,
( sQ149_spl
| sQ147_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f551,f1385,f1411,f1420]) ).
fof(f1424,plain,
( ~ sQ62_spl
| ~ sQ59_spl
| sQ147_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f552,f1385,f1411,f838,f848]) ).
fof(f1425,plain,
( ~ sQ63_spl
| sQ147_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f553,f1385,f1411,f851]) ).
fof(f1426,plain,
( ~ sQ147_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f554,f1385,f1411]) ).
fof(f1427,plain,
( sQ63_spl
| sQ59_spl
| ~ sQ149_spl
| ~ sQ148_spl
| ~ sQ48_spl
| ~ sQ12_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f555,f1385,f686,f803,f1416,f1420,f838,f851]) ).
fof(f1429,plain,
( sQ63_spl
| sQ62_spl
| ~ sQ149_spl
| ~ sQ148_spl
| ~ sQ48_spl
| ~ sQ12_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f557,f1385,f686,f803,f1416,f1420,f848,f851]) ).
fof(f1431,plain,
( ~ sQ0_spl
| ~ sQ145_spl ),
inference(split_clause,[status(thm)],[f560,f1390,f647]) ).
fof(f1432,plain,
( sQ0_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f561,f1390,f647]) ).
fof(f1434,plain,
( ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ146_spl ),
inference(split_clause,[status(thm)],[f564,f1394,f660,f650]) ).
fof(f1435,plain,
( sQ4_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f565,f1394,f660]) ).
fof(f1436,plain,
( sQ1_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f566,f1394,f650]) ).
fof(f1437,definition,
( sQ150_spl
<=> sP46_prd ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f1440,plain,
( sQ8_spl
| sQ150_spl
| ~ sQ147_spl ),
inference(split_clause,[status(thm)],[f573,f1411,f1437,f673]) ).
fof(f1441,plain,
( sQ32_spl
| sQ150_spl
| ~ sQ147_spl ),
inference(split_clause,[status(thm)],[f574,f1411,f1437,f751]) ).
fof(f1442,definition,
( sQ151_spl
<=> sP47_prd ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f1446,definition,
( sQ152_spl
<=> sP48_prd ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f1449,plain,
( sQ152_spl
| sQ150_spl
| ~ sQ147_spl ),
inference(split_clause,[status(thm)],[f576,f1411,f1437,f1446]) ).
fof(f1450,plain,
( ~ sQ42_spl
| sQ150_spl
| ~ sQ147_spl ),
inference(split_clause,[status(thm)],[f577,f1411,f1437,f783]) ).
fof(f1451,plain,
( ~ sQ43_spl
| ~ sQ46_spl
| sQ150_spl
| ~ sQ147_spl ),
inference(split_clause,[status(thm)],[f578,f1411,f1437,f796,f786]) ).
fof(f1452,plain,
( ~ sQ150_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f579,f1411,f1437]) ).
fof(f1453,plain,
( sQ46_spl
| sQ42_spl
| ~ sQ152_spl
| ~ sQ151_spl
| ~ sQ32_spl
| ~ sQ8_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f580,f1411,f673,f751,f1442,f1446,f783,f796]) ).
fof(f1454,plain,
( sQ43_spl
| sQ42_spl
| ~ sQ152_spl
| ~ sQ151_spl
| ~ sQ32_spl
| ~ sQ8_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f581,f1411,f673,f751,f1442,f1446,f783,f786]) ).
fof(f1457,plain,
( ~ sQ60_spl
| ~ sQ51_spl
| ~ sQ148_spl ),
inference(split_clause,[status(thm)],[f585,f1416,f812,f842]) ).
fof(f1458,plain,
( sQ51_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f586,f1416,f812]) ).
fof(f1459,plain,
( sQ60_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f587,f1416,f842]) ).
fof(f1460,plain,
( ~ sQ61_spl
| ~ sQ55_spl
| ~ sQ149_spl ),
inference(split_clause,[status(thm)],[f589,f1420,f825,f845]) ).
fof(f1461,plain,
( sQ55_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f590,f1420,f825]) ).
fof(f1462,plain,
( sQ61_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f591,f1420,f845]) ).
fof(f1463,definition,
( sQ153_spl
<=> sP49_prd ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f1466,plain,
( sQ4_spl
| sQ153_spl
| ~ sQ150_spl ),
inference(split_clause,[status(thm)],[f598,f1437,f1463,f660]) ).
fof(f1467,plain,
( sQ16_spl
| sQ153_spl
| ~ sQ150_spl ),
inference(split_clause,[status(thm)],[f599,f1437,f1463,f699]) ).
fof(f1468,definition,
( sQ154_spl
<=> sP50_prd ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f1471,plain,
( sQ154_spl
| sQ153_spl
| ~ sQ150_spl ),
inference(split_clause,[status(thm)],[f600,f1437,f1463,f1468]) ).
fof(f1472,definition,
( sQ155_spl
<=> sP51_prd ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f1475,plain,
( sQ155_spl
| sQ153_spl
| ~ sQ150_spl ),
inference(split_clause,[status(thm)],[f601,f1437,f1463,f1472]) ).
fof(f1476,plain,
( ~ sQ22_spl
| ~ sQ25_spl
| sQ153_spl
| ~ sQ150_spl ),
inference(split_clause,[status(thm)],[f602,f1437,f1463,f728,f718]) ).
fof(f1477,plain,
( ~ sQ23_spl
| ~ sQ29_spl
| sQ153_spl
| ~ sQ150_spl ),
inference(split_clause,[status(thm)],[f603,f1437,f1463,f741,f721]) ).
fof(f1478,plain,
( ~ sQ153_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f604,f1437,f1463]) ).
fof(f1481,plain,
( sQ29_spl
| sQ22_spl
| ~ sQ155_spl
| ~ sQ154_spl
| ~ sQ16_spl
| ~ sQ4_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f607,f1437,f660,f699,f1468,f1472,f718,f741]) ).
fof(f1483,plain,
( ~ sQ40_spl
| ~ sQ34_spl
| ~ sQ151_spl ),
inference(split_clause,[status(thm)],[f610,f1442,f757,f777]) ).
fof(f1484,plain,
( sQ34_spl
| sQ151_spl ),
inference(split_clause,[status(thm)],[f611,f1442,f757]) ).
fof(f1485,plain,
( sQ40_spl
| sQ151_spl ),
inference(split_clause,[status(thm)],[f612,f1442,f777]) ).
fof(f1486,plain,
( ~ sQ41_spl
| ~ sQ38_spl
| ~ sQ152_spl ),
inference(split_clause,[status(thm)],[f614,f1446,f770,f780]) ).
fof(f1487,plain,
( sQ38_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f615,f1446,f770]) ).
fof(f1488,plain,
( sQ41_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f616,f1446,f780]) ).
fof(f1489,plain,
( sQ0_spl
| ~ sQ153_spl ),
inference(split_clause,[status(thm)],[f621,f1463,f647]) ).
fof(f1491,definition,
( sQ156_spl
<=> sP52_prd ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f1494,plain,
( sQ156_spl
| ~ sQ153_spl ),
inference(split_clause,[status(thm)],[f623,f1463,f1491]) ).
fof(f1495,definition,
( sQ157_spl
<=> sP53_prd ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f1498,plain,
( sQ157_spl
| ~ sQ153_spl ),
inference(split_clause,[status(thm)],[f624,f1463,f1495]) ).
fof(f1499,plain,
( ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ153_spl ),
inference(split_clause,[status(thm)],[f625,f1463,f673,f653]) ).
fof(f1500,plain,
( ~ sQ3_spl
| ~ sQ12_spl
| ~ sQ153_spl ),
inference(split_clause,[status(thm)],[f626,f1463,f686,f656]) ).
fof(f1505,plain,
( ~ sQ20_spl
| ~ sQ17_spl
| ~ sQ154_spl ),
inference(split_clause,[status(thm)],[f632,f1468,f702,f712]) ).
fof(f1506,plain,
( sQ17_spl
| sQ154_spl ),
inference(split_clause,[status(thm)],[f633,f1468,f702]) ).
fof(f1507,plain,
( sQ20_spl
| sQ154_spl ),
inference(split_clause,[status(thm)],[f634,f1468,f712]) ).
fof(f1508,plain,
( ~ sQ21_spl
| ~ sQ155_spl ),
inference(split_clause,[status(thm)],[f636,f1472,f715]) ).
fof(f1509,plain,
( sQ21_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f637,f1472,f715]) ).
fof(f1511,plain,
( ~ sQ0_spl
| ~ sQ156_spl ),
inference(split_clause,[status(thm)],[f640,f1491,f647]) ).
fof(f1512,plain,
( sQ0_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f641,f1491,f647]) ).
fof(f1514,plain,
( ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ157_spl ),
inference(split_clause,[status(thm)],[f644,f1495,f660,f650]) ).
fof(f1515,plain,
( sQ4_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f645,f1495,f660]) ).
fof(f1516,plain,
( sQ1_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f646,f1495,f650]) ).
fof(f1517,plain,
( ~ sQ6_spl
| e2 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f667,f86]) ).
fof(f1518,plain,
( ~ sQ6_spl
| e2 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f667,f85]) ).
fof(f1519,plain,
( ~ sQ6_spl
| e2 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f667,f84]) ).
fof(f1520,plain,
( ~ sQ33_spl
| e1 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f755,f83]) ).
fof(f1521,plain,
( ~ sQ33_spl
| op(e1,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f755,f81]) ).
fof(f1522,plain,
( ~ sQ33_spl
| op(e0,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f755,f79]) ).
fof(f1523,plain,
( ~ sQ50_spl
| op(e1,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f810,f82]) ).
fof(f1524,plain,
( ~ sQ50_spl
| op(e0,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f810,f80]) ).
fof(f1525,plain,
( ~ sQ54_spl
| op(e1,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f823,f88]) ).
fof(f1526,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f693,f690]) ).
fof(f1527,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1526,f129]) ).
fof(f1528,plain,
( ~ sQ13_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f1527]) ).
fof(f1529,plain,
( ~ sQ54_spl
| op(e2,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f823,f89]) ).
fof(f1530,plain,
( ~ sQ49_spl
| ~ sQ50_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f810,f807]) ).
fof(f1531,plain,
( ~ sQ49_spl
| ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1530,f129]) ).
fof(f1532,plain,
( ~ sQ49_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f1531]) ).
fof(f1533,plain,
( ~ sQ22_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f719,f1525]) ).
fof(f1534,plain,
( ~ sQ22_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f1533]) ).
fof(f1535,plain,
( ~ sQ31_spl
| ~ sQ30_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f745,f748]) ).
fof(f1536,plain,
( ~ sQ31_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1535,f131]) ).
fof(f1537,plain,
( ~ sQ31_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f1536]) ).
fof(f1538,plain,
( ~ sQ47_spl
| ~ sQ45_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f794,f800]) ).
fof(f1539,plain,
( ~ sQ47_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1538,f130]) ).
fof(f1540,plain,
( ~ sQ47_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f1539]) ).
fof(f1541,plain,
( ~ sQ59_spl
| ~ sQ57_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f833,f839]) ).
fof(f1542,plain,
( ~ sQ59_spl
| ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1541,f130]) ).
fof(f1543,plain,
( ~ sQ59_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f1542]) ).
fof(f1544,plain,
( ~ sQ56_spl
| op(e0,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f830,f92]) ).
fof(f1545,plain,
( ~ sQ56_spl
| op(e1,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f830,f94]) ).
fof(f1547,plain,
( ~ sQ27_spl
| e3 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f735,f93]) ).
fof(f1548,plain,
( ~ sQ27_spl
| op(e0,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f735,f90]) ).
fof(f1549,plain,
( ~ sQ11_spl
| e3 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f683,f91]) ).
fof(f1550,plain,
( ~ sQ39_spl
| op(e1,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f774,f87]) ).
fof(f1551,plain,
( ~ sQ39_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f1550,f721,f773]) ).
fof(f1552,plain,
( ~ sQ35_spl
| ~ sQ33_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f755,f761]) ).
fof(f1553,plain,
( ~ sQ35_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1552,f130]) ).
fof(f1554,plain,
( ~ sQ35_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f1553]) ).
fof(f1556,plain,
( ~ sQ53_spl
| ~ sQ52_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f817,f820]) ).
fof(f1557,plain,
( ~ sQ53_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1556,f126]) ).
fof(f1558,plain,
( ~ sQ53_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f1557]) ).
fof(f1560,plain,
( ~ sQ56_spl
| op(e2,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f830,f95]) ).
fof(f1561,plain,
( ~ sQ28_spl
| op(e0,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f739,f96]) ).
fof(f1562,plain,
( ~ sQ11_spl
| ~ sQ9_spl
| e1 = e3 ),
inference(backward_demodulation,[status(thm)],[f677,f683]) ).
fof(f1563,plain,
( ~ sQ11_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1562,f130]) ).
fof(f1564,plain,
( ~ sQ11_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f1563]) ).
fof(f1565,plain,
( ~ sQ54_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f1529,f770,f822]) ).
fof(f1566,plain,
( ~ sQ40_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f778,f1560]) ).
fof(f1567,plain,
( ~ sQ40_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f1566]) ).
fof(f1568,plain,
( ~ sQ27_spl
| e3 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f735,f94]) ).
fof(f1569,plain,
( ~ sQ47_spl
| ~ sQ44_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f791,f800]) ).
fof(f1570,plain,
( ~ sQ47_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1569,f128]) ).
fof(f1571,plain,
( ~ sQ47_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f1570]) ).
fof(f1573,plain,
( ~ sQ31_spl
| ~ sQ28_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f739,f748]) ).
fof(f1574,plain,
( ~ sQ31_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1573,f128]) ).
fof(f1575,plain,
( ~ sQ31_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f1574]) ).
fof(f1577,plain,
( ~ sQ27_spl
| ~ sQ24_spl
| e0 = e3 ),
inference(backward_demodulation,[status(thm)],[f726,f735]) ).
fof(f1578,plain,
( ~ sQ27_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1577,f128]) ).
fof(f1579,plain,
( ~ sQ27_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f1578]) ).
fof(f1581,plain,
( ~ sQ6_spl
| op(e0,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f667,f102]) ).
fof(f1582,plain,
( ~ sQ7_spl
| ~ sQ6_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f667,f670]) ).
fof(f1583,plain,
( ~ sQ7_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1582,f131]) ).
fof(f1584,plain,
( ~ sQ7_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f1583]) ).
fof(f1585,plain,
( ~ sQ36_spl
| op(e0,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f765,f85]) ).
fof(f1586,plain,
( ~ sQ19_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f709,f78]) ).
fof(f1587,plain,
( ~ sQ19_spl
| ~ sQ18_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f706,f709]) ).
fof(f1588,plain,
( ~ sQ19_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1587,f131]) ).
fof(f1589,plain,
( ~ sQ19_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f1588]) ).
fof(f1590,plain,
( ~ sQ12_spl
| op(e0,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f687,f104]) ).
fof(f1591,plain,
( ~ sQ12_spl
| e0 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f687,f98]) ).
fof(f1592,plain,
( ~ sQ12_spl
| e0 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f687,f97]) ).
fof(f1593,plain,
( ~ sQ29_spl
| e1 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f742,f100]) ).
fof(f1595,plain,
( ~ sQ46_spl
| e2 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f797,f101]) ).
fof(f1599,plain,
( ~ sQ12_spl
| op(e0,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f687,f106]) ).
fof(f1601,plain,
( ~ sQ37_spl
| ~ sQ36_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f765,f768]) ).
fof(f1602,plain,
( ~ sQ37_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1601,f126]) ).
fof(f1603,plain,
( ~ sQ37_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f1602]) ).
fof(f1604,plain,
( ~ sQ45_spl
| ~ sQ46_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f797,f794]) ).
fof(f1605,plain,
( ~ sQ45_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1604,f129]) ).
fof(f1606,plain,
( ~ sQ45_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f1605]) ).
fof(f1607,plain,
( ~ sQ117_spl
| ~ sQ12_spl
| op(e0,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f687,f1148]) ).
fof(f1608,plain,
( ~ sQ28_spl
| ~ sQ12_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f687,f1561]) ).
fof(f1609,plain,
( ~ sQ28_spl
| ~ sQ12_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1608]) ).
fof(f1610,plain,
( ~ sQ28_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f1609]) ).
fof(f1613,plain,
( ~ sQ29_spl
| op(e1,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f742,f110]) ).
fof(f1614,plain,
( ~ sQ29_spl
| op(e1,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f742,f112]) ).
fof(f1615,plain,
( ~ sQ51_spl
| ~ sQ48_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f804,f813]) ).
fof(f1616,plain,
( ~ sQ51_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1615,f128]) ).
fof(f1617,plain,
( ~ sQ51_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f1616]) ).
fof(f1618,plain,
( ~ sQ12_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1590,f647,f686]) ).
fof(f1619,plain,
( ~ sQ12_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f1591,f842,f686]) ).
fof(f1621,plain,
( ~ sQ31_spl
| ~ sQ29_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f742,f748]) ).
fof(f1622,plain,
( ~ sQ31_spl
| ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1621,f130]) ).
fof(f1623,plain,
( ~ sQ31_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f1622]) ).
fof(f1624,plain,
( ~ sQ6_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f1581,f653,f666]) ).
fof(f1625,plain,
( ~ sQ56_spl
| ~ sQ58_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f836,f830]) ).
fof(f1626,plain,
( ~ sQ56_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1625,f127]) ).
fof(f1627,plain,
( ~ sQ56_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f1626]) ).
fof(f1628,plain,
( ~ sQ29_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f1614,f715,f741]) ).
fof(f1629,plain,
( ~ sQ33_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1522,f650,f754]) ).
fof(f1630,plain,
( ~ sQ56_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1544,f673,f829]) ).
fof(f1631,plain,
( ~ sQ56_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f1545,f725,f829]) ).
fof(f1632,plain,
( ~ sQ12_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1592,f790,f686]) ).
fof(f1633,plain,
( ~ sQ19_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1586,f656,f708]) ).
fof(f1635,plain,
( ~ sQ6_spl
| e2 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f667,f105]) ).
fof(f1638,plain,
( ~ sQ55_spl
| op(e3,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f826,f120]) ).
fof(f1639,plain,
( ~ sQ25_spl
| e1 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f729,f113]) ).
fof(f1640,plain,
( ~ sQ25_spl
| op(e1,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f729,f111]) ).
fof(f1641,plain,
( ~ sQ25_spl
| op(e1,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f729,f109]) ).
fof(f1642,plain,
( ~ sQ25_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f1639,f741,f728]) ).
fof(f1643,plain,
( ~ sQ50_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f1524,f653,f809]) ).
fof(f1644,plain,
( ~ sQ6_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f1518,f770,f666]) ).
fof(f1645,plain,
( ~ sQ1_spl
| e1 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f651,f103]) ).
fof(f1646,plain,
( ~ sQ1_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f1645,f676,f650]) ).
fof(f1647,plain,
( ~ sQ25_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f1640,f715,f728]) ).
fof(f1648,plain,
( ~ sQ117_spl
| ~ sQ12_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f1607,f656,f686,f1147]) ).
fof(f1649,plain,
( ~ sQ55_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f1638,f812,f825]) ).
fof(f1650,plain,
( ~ sQ33_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f1520,f806,f754]) ).
fof(f1651,plain,
( ~ sQ27_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f1568,f838,f734]) ).
fof(f1652,plain,
( ~ sQ27_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1548,f682,f734]) ).
fof(f1653,plain,
( ~ sQ6_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f1519,f718,f666]) ).
fof(f1654,plain,
( ~ sQ63_spl
| op(e3,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f852,f125]) ).
fof(f1655,plain,
( ~ sQ63_spl
| op(e3,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f852,f124]) ).
fof(f1656,plain,
( ~ sQ63_spl
| op(e3,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f852,f122]) ).
fof(f1657,plain,
( ~ sQ63_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f1655,f825,f851]) ).
fof(f1658,plain,
( ~ sQ8_spl
| e0 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f674,f107]) ).
fof(f1660,plain,
( ~ sQ41_spl
| e1 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f781,f119]) ).
fof(f1661,plain,
( ~ sQ41_spl
| op(e2,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f781,f117]) ).
fof(f1662,plain,
( ~ sQ41_spl
| op(e2,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f781,f115]) ).
fof(f1663,plain,
( ~ sQ41_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f1660,f793,f780]) ).
fof(f1664,plain,
( ~ sQ41_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f1661,f767,f780]) ).
fof(f1665,plain,
( ~ sQ63_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f1656,f812,f851]) ).
fof(f1667,plain,
( ~ sQ6_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f1517,f822,f666]) ).
fof(f1669,plain,
( ~ sQ32_spl
| e0 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f752,f116]) ).
fof(f1670,plain,
( ~ sQ32_spl
| e0 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f752,f114]) ).
fof(f1671,plain,
( ~ sQ32_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f1670,f764,f751]) ).
fof(f1674,plain,
( ~ sQ50_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f1523,f705,f809]) ).
fof(f1678,plain,
( sQ70_spl
| ~ sQ23_spl
| e2 != op(op(op(e1,e1),op(e1,e1)),e3) ),
inference(backward_demodulation,[status(thm)],[f722,f921]) ).
fof(f1679,plain,
( ~ sQ23_spl
| op(e1,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f722,f108]) ).
fof(f1684,plain,
( sQ70_spl
| ~ sQ23_spl
| e2 != op(op(e3,op(e1,e1)),e3) ),
inference(forward_demodulation,[status(thm)],[f722,f1678]) ).
fof(f1685,plain,
( sQ70_spl
| ~ sQ23_spl
| e2 != op(op(e3,e3),e3) ),
inference(forward_demodulation,[status(thm)],[f722,f1684]) ).
fof(f1687,plain,
( ~ sQ28_spl
| ~ sQ30_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f745,f739]) ).
fof(f1688,plain,
( ~ sQ28_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1687,f127]) ).
fof(f1689,plain,
( ~ sQ28_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f1688]) ).
fof(f1691,plain,
( ~ sQ32_spl
| e0 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f752,f83]) ).
fof(f1693,plain,
( ~ sQ32_spl
| op(e1,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f752,f81]) ).
fof(f1697,plain,
( sQ86_spl
| ~ sQ41_spl
| e0 != op(op(op(e2,e2),op(e2,e2)),e1) ),
inference(backward_demodulation,[status(thm)],[f781,f977]) ).
fof(f1698,plain,
( sQ76_spl
| ~ sQ41_spl
| e3 != op(op(op(e2,e2),op(e2,e2)),e1) ),
inference(backward_demodulation,[status(thm)],[f781,f942]) ).
fof(f1700,plain,
( sQ86_spl
| ~ sQ41_spl
| e0 != op(op(e1,op(e2,e2)),e1) ),
inference(forward_demodulation,[status(thm)],[f781,f1697]) ).
fof(f1701,plain,
( sQ86_spl
| ~ sQ41_spl
| e0 != op(op(e1,e1),e1) ),
inference(forward_demodulation,[status(thm)],[f781,f1700]) ).
fof(f1702,plain,
( sQ76_spl
| ~ sQ41_spl
| e3 != op(op(e1,op(e2,e2)),e1) ),
inference(forward_demodulation,[status(thm)],[f781,f1698]) ).
fof(f1703,plain,
( sQ76_spl
| ~ sQ41_spl
| e3 != op(op(e1,e1),e1) ),
inference(forward_demodulation,[status(thm)],[f781,f1702]) ).
fof(f1707,plain,
( ~ sQ32_spl
| op(e0,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f752,f79]) ).
fof(f1708,plain,
( ~ sQ41_spl
| ~ sQ42_spl
| e2 = e1 ),
inference(backward_demodulation,[status(thm)],[f784,f781]) ).
fof(f1709,plain,
( ~ sQ41_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1708,f129]) ).
fof(f1710,plain,
( ~ sQ41_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f1709]) ).
fof(f1711,plain,
( ~ sQ29_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f1613,f702,f741]) ).
fof(f1712,plain,
( sQ117_spl
| ~ sQ14_spl
| op(e0,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f693,f1149]) ).
fof(f1714,plain,
( ~ sQ8_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f1658,f686,f673]) ).
fof(f1715,plain,
( ~ sQ25_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f1641,f702,f728]) ).
fof(f1716,plain,
( ~ sQ63_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f1654,f838,f851]) ).
fof(f1717,plain,
( ~ sQ115_spl
| ~ sQ7_spl
| op(e0,e3) = e1 ),
inference(forward_demodulation,[status(thm)],[f670,f1140]) ).
fof(f1720,plain,
( sQ117_spl
| ~ sQ14_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1712,f682,f692,f1147]) ).
fof(f1721,plain,
( sQ115_spl
| ~ sQ7_spl
| op(e0,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f670,f1141]) ).
fof(f1724,plain,
( ~ sQ22_spl
| e2 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f719,f87]) ).
fof(f1726,plain,
( ~ sQ7_spl
| e3 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f670,f86]) ).
fof(f1729,plain,
( ~ sQ31_spl
| op(e0,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f748,f96]) ).
fof(f1733,plain,
( sQ90_spl
| ~ sQ2_spl
| e1 != op(op(op(e0,e0),op(e0,e0)),e2) ),
inference(backward_demodulation,[status(thm)],[f654,f993]) ).
fof(f1736,plain,
( sQ90_spl
| ~ sQ2_spl
| e1 != op(op(e2,op(e0,e0)),e2) ),
inference(forward_demodulation,[status(thm)],[f654,f1733]) ).
fof(f1737,plain,
( sQ90_spl
| ~ sQ2_spl
| e1 != op(op(e2,e2),e2) ),
inference(forward_demodulation,[status(thm)],[f654,f1736]) ).
fof(f1740,plain,
( ~ sQ58_spl
| op(e0,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f836,f92]) ).
fof(f1741,plain,
( ~ sQ58_spl
| op(e2,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f836,f95]) ).
fof(f1744,plain,
( ~ sQ58_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f1741,f783,f835]) ).
fof(f1745,plain,
( ~ sQ7_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f1726,f825,f669]) ).
fof(f1746,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f654,f651]) ).
fof(f1747,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1746,f129]) ).
fof(f1748,plain,
( ~ sQ1_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f1747]) ).
fof(f1749,plain,
( ~ sQ6_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1635,f679,f666]) ).
fof(f1750,plain,
( ~ sQ13_spl
| op(e0,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f690,f104]) ).
fof(f1751,plain,
( ~ sQ13_spl
| op(e0,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f690,f106]) ).
fof(f1752,plain,
( ~ sQ13_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1750,f650,f689]) ).
fof(f1753,plain,
( ~ sQ32_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f1691,f803,f751]) ).
fof(f1754,plain,
( ~ sQ32_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1707,f647,f751]) ).
fof(f1755,plain,
( ~ sQ32_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1669,f790,f751]) ).
fof(f1756,plain,
( ~ sQ33_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f1521,f702,f754]) ).
fof(f1757,plain,
( sQ117_spl
| ~ sQ13_spl
| op(e0,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f690,f1149]) ).
fof(f1758,plain,
( ~ sQ46_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f1595,f848,f796]) ).
fof(f1759,plain,
( ~ sQ15_spl
| ~ sQ13_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f690,f696]) ).
fof(f1760,plain,
( ~ sQ15_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1759,f130]) ).
fof(f1761,plain,
( ~ sQ15_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f1760]) ).
fof(f1765,plain,
( ~ sQ31_spl
| op(e1,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f748,f112]) ).
fof(f1766,plain,
( ~ sQ31_spl
| e3 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f748,f100]) ).
fof(f1769,plain,
( ~ sQ31_spl
| e3 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f748,f99]) ).
fof(f1771,plain,
( ~ sQ52_spl
| op(e2,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f817,f89]) ).
fof(f1774,plain,
( ~ sQ39_spl
| op(e0,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f774,f85]) ).
fof(f1775,plain,
( ~ sQ39_spl
| e3 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f774,f118]) ).
fof(f1776,plain,
( ~ sQ39_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f1775,f799,f773]) ).
fof(f1777,plain,
( ~ sQ25_spl
| ~ sQ24_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f726,f729]) ).
fof(f1778,plain,
( ~ sQ25_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1777,f126]) ).
fof(f1779,plain,
( ~ sQ25_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f1778]) ).
fof(f1780,plain,
( ~ sQ36_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f1585,f660,f764]) ).
fof(f1781,plain,
( sQ108_spl
| ~ sQ31_spl
| op(e1,e3) != e3 ),
inference(forward_demodulation,[status(thm)],[f748,f1086]) ).
fof(f1782,plain,
( sQ108_spl
| ~ sQ31_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f748,f1781]) ).
fof(f1783,plain,
( sQ108_spl
| ~ sQ31_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1782]) ).
fof(f1784,plain,
( sQ108_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f1783]) ).
fof(f1785,plain,
( ~ sQ52_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f1771,f764,f816]) ).
fof(f1786,plain,
( ~ sQ29_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f1593,f845,f741]) ).
fof(f1787,plain,
( ~ sQ23_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f1679,f708,f721]) ).
fof(f1788,plain,
( ~ sQ31_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f1729,f695,f747]) ).
fof(f1789,plain,
( ~ sQ115_spl
| ~ sQ7_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f1717,f689,f669,f1139]) ).
fof(f1790,plain,
( ~ sQ9_spl
| e1 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f677,f90]) ).
fof(f1793,plain,
( ~ sQ9_spl
| op(e0,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f677,f105]) ).
fof(f1795,plain,
( ~ sQ51_spl
| op(e1,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f813,f82]) ).
fof(f1799,plain,
( ~ sQ60_spl
| op(e2,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f843,f101]) ).
fof(f1807,plain,
( ~ sQ20_spl
| e0 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f713,f111]) ).
fof(f1808,plain,
( ~ sQ20_spl
| op(e0,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f713,f84]) ).
fof(f1809,plain,
( ~ sQ20_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f1807,f725,f712]) ).
fof(f1812,plain,
( ~ sQ15_spl
| e3 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f696,f97]) ).
fof(f1813,plain,
( ~ sQ15_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f1812,f799,f695]) ).
fof(f1815,plain,
( ~ sQ116_spl
| ~ sQ9_spl
| op(e0,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f677,f1144]) ).
fof(f1816,plain,
( ~ sQ21_spl
| ~ sQ20_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f713,f716]) ).
fof(f1817,plain,
( ~ sQ21_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1816,f126]) ).
fof(f1818,plain,
( ~ sQ21_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f1817]) ).
fof(f1820,plain,
( ~ sQ60_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1799,f790,f842]) ).
fof(f1822,plain,
( ~ sQ26_spl
| op(e1,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f732,f109]) ).
fof(f1823,plain,
( ~ sQ26_spl
| e2 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f732,f113]) ).
fof(f1824,plain,
( ~ sQ26_spl
| e2 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f732,f93]) ).
fof(f1825,plain,
( ~ sQ26_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f1822,f705,f731]) ).
fof(f1826,plain,
( ~ sQ9_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1793,f663,f676]) ).
fof(f1827,plain,
( ~ sQ3_spl
| e3 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f657,f79]) ).
fof(f1831,plain,
( ~ sQ3_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f1827,f760,f656]) ).
fof(f1832,plain,
( ~ sQ12_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f1599,f660,f686]) ).
fof(f1833,plain,
( ~ sQ51_spl
| op(e2,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f813,f83]) ).
fof(f1836,plain,
( ~ sQ52_spl
| e0 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f817,f124]) ).
fof(f1837,plain,
( ~ sQ52_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f1836,f842,f816]) ).
fof(f1838,plain,
( ~ sQ65_spl
| ~ sQ51_spl
| op(e3,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f813,f891]) ).
fof(f1839,plain,
( ~ sQ66_spl
| ~ sQ52_spl
| op(e3,e0) = e1 ),
inference(forward_demodulation,[status(thm)],[f817,f895]) ).
fof(f1841,plain,
( ~ sQ52_spl
| op(e1,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f817,f88]) ).
fof(f1842,plain,
( ~ sQ51_spl
| op(e0,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f813,f80]) ).
fof(f1845,plain,
( ~ sQ52_spl
| op(e0,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f817,f86]) ).
fof(f1848,plain,
( ~ sQ45_spl
| op(e2,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f794,f116]) ).
fof(f1850,plain,
( ~ sQ45_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1848,f754,f793]) ).
fof(f1851,plain,
( ~ sQ26_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f1823,f744,f731]) ).
fof(f1852,plain,
( ~ sQ31_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f1765,f721,f747]) ).
fof(f1853,plain,
( ~ sQ31_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f1769,f799,f747]) ).
fof(f1856,plain,
( ~ sQ3_spl
| e3 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f657,f102]) ).
fof(f1859,plain,
( ~ sQ3_spl
| e3 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f657,f104]) ).
fof(f1864,plain,
( ~ sQ6_spl
| e2 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f667,f106]) ).
fof(f1866,plain,
( ~ sQ60_spl
| op(e3,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f843,f125]) ).
fof(f1873,plain,
( ~ sQ13_spl
| e1 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f690,f96]) ).
fof(f1877,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f667,f664]) ).
fof(f1878,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1877,f129]) ).
fof(f1879,plain,
( ~ sQ5_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f1878]) ).
fof(f1882,plain,
( sQ81_spl
| ~ sQ60_spl
| e1 != op(e0,op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f843,f959]) ).
fof(f1883,plain,
( sQ81_spl
| ~ sQ60_spl
| e1 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f843,f1882]) ).
fof(f1884,plain,
( sQ79_spl
| ~ sQ60_spl
| e2 != op(e0,op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f843,f952]) ).
fof(f1885,plain,
( sQ79_spl
| ~ sQ60_spl
| e2 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f843,f1884]) ).
fof(f1886,plain,
( ~ sQ68_spl
| ~ sQ60_spl
| op(e3,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f843,f903]) ).
fof(f1887,plain,
( ~ sQ13_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1751,f663,f689]) ).
fof(f1889,plain,
( sQ115_spl
| ~ sQ7_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f1721,f689,f669,f1139]) ).
fof(f1893,plain,
( sQ117_spl
| ~ sQ13_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f1757,f669,f689,f1147]) ).
fof(f1895,plain,
( ~ sQ51_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1842,f656,f812]) ).
fof(f1896,plain,
( ~ sQ116_spl
| ~ sQ8_spl
| op(e0,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f674,f1144]) ).
fof(f1897,plain,
( ~ sQ116_spl
| ~ sQ9_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f1815,f666,f676,f1143]) ).
fof(f1898,plain,
( ~ sQ3_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f1859,f695,f656]) ).
fof(f1899,plain,
( ~ sQ32_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f1693,f699,f751]) ).
fof(f1900,plain,
( ~ sQ9_spl
| ~ sQ8_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f674,f677]) ).
fof(f1901,plain,
( ~ sQ9_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1900,f126]) ).
fof(f1902,plain,
( ~ sQ9_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f1901]) ).
fof(f1903,plain,
( sQ79_spl
| ~ sQ60_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f1885,f653,f842,f950]) ).
fof(f1904,plain,
( sQ70_spl
| ~ sQ23_spl
| ~ sQ60_spl
| e2 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f843,f1685]) ).
fof(f1907,plain,
( ~ sQ20_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f1808,f660,f712]) ).
fof(f1910,plain,
( ~ sQ41_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1662,f754,f780]) ).
fof(f1911,plain,
( ~ sQ58_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1740,f679,f835]) ).
fof(f1912,plain,
( ~ sQ61_spl
| ~ sQ60_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f843,f846]) ).
fof(f1913,plain,
( ~ sQ61_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1912,f126]) ).
fof(f1914,plain,
( ~ sQ61_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f1913]) ).
fof(f1915,plain,
( ~ sQ51_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f1833,f760,f812]) ).
fof(f1916,plain,
( ~ sQ52_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f1841,f712,f816]) ).
fof(f1917,plain,
( ~ sQ66_spl
| ~ sQ52_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f1839,f806,f816,f894]) ).
fof(f1918,plain,
( ~ sQ68_spl
| ~ sQ60_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f1886,f812,f842,f902]) ).
fof(f1922,plain,
( ~ sQ34_spl
| e2 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f758,f114]) ).
fof(f1923,plain,
( ~ sQ34_spl
| op(e1,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f758,f81]) ).
fof(f1924,plain,
( ~ sQ34_spl
| e2 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f758,f115]) ).
fof(f1925,plain,
( ~ sQ34_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f1922,f770,f757]) ).
fof(f1926,plain,
( ~ sQ34_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f1923,f705,f757]) ).
fof(f1927,plain,
( ~ sQ22_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f1724,f770,f718]) ).
fof(f1928,plain,
( ~ sQ39_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f1774,f669,f773]) ).
fof(f1929,plain,
( ~ sQ52_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f1845,f660,f816]) ).
fof(f1932,plain,
( ~ sQ58_spl
| op(e1,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f836,f94]) ).
fof(f1934,plain,
( ~ sQ58_spl
| op(e3,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f836,f123]) ).
fof(f1937,plain,
( ~ sQ58_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f1932,f731,f835]) ).
fof(f1938,plain,
( ~ sQ34_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f1924,f783,f757]) ).
fof(f1939,plain,
( sQ81_spl
| ~ sQ60_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1883,f650,f842,f957]) ).
fof(f1947,plain,
( ~ sQ4_spl
| e0 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f661,f105]) ).
fof(f1951,plain,
( ~ sQ22_spl
| e2 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f719,f111]) ).
fof(f1953,plain,
( ~ sQ22_spl
| e2 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f719,f112]) ).
fof(f1957,plain,
( ~ sQ53_spl
| op(e3,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f820,f120]) ).
fof(f1958,plain,
( ~ sQ53_spl
| op(e2,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f820,f89]) ).
fof(f1959,plain,
( ~ sQ53_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f1958,f767,f819]) ).
fof(f1961,plain,
( ~ sQ115_spl
| ~ sQ4_spl
| op(e0,e0) = e1 ),
inference(forward_demodulation,[status(thm)],[f661,f1140]) ).
fof(f1962,plain,
( ~ sQ22_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f1951,f731,f718]) ).
fof(f1963,plain,
( ~ sQ31_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f1766,f851,f747]) ).
fof(f1964,plain,
( sQ86_spl
| ~ sQ41_spl
| ~ sQ22_spl
| e0 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f719,f1701]) ).
fof(f1966,plain,
( sQ76_spl
| ~ sQ41_spl
| ~ sQ22_spl
| e3 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f719,f1703]) ).
fof(f1970,plain,
( ~ sQ0_spl
| e0 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f648,f78]) ).
fof(f1973,plain,
( ~ sQ0_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f1970,f699,f647]) ).
fof(f1974,plain,
( ~ sQ116_spl
| ~ sQ8_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f1896,f653,f673,f1143]) ).
fof(f1987,plain,
( ~ sQ55_spl
| op(e1,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f826,f88]) ).
fof(f1990,plain,
( ~ sQ5_spl
| e1 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f664,f85]) ).
fof(f1998,plain,
( ~ sQ61_spl
| op(e3,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f846,f122]) ).
fof(f2000,plain,
( ~ sQ61_spl
| op(e2,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f846,f101]) ).
fof(f2008,plain,
( ~ sQ44_spl
| op(e2,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f791,f119]) ).
fof(f2010,plain,
( ~ sQ44_spl
| op(e2,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f791,f118]) ).
fof(f2011,plain,
( ~ sQ44_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f2008,f777,f790]) ).
fof(f2013,plain,
( ~ sQ114_spl
| ~ sQ3_spl
| op(e0,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f657,f1136]) ).
fof(f2014,plain,
( ~ sQ114_spl
| ~ sQ3_spl
| ~ sQ14_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f693,f2013]) ).
fof(f2015,plain,
( ~ sQ114_spl
| ~ sQ3_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2014,f127]) ).
fof(f2016,plain,
( ~ sQ114_spl
| ~ sQ3_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f2015]) ).
fof(f2019,plain,
( ~ sQ61_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f1998,f806,f845]) ).
fof(f2021,plain,
( ~ sQ5_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f1990,f767,f663]) ).
fof(f2022,plain,
( ~ sQ61_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f2000,f793,f845]) ).
fof(f2024,plain,
( ~ sQ26_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f1824,f783,f731]) ).
fof(f2025,plain,
( sQ86_spl
| ~ sQ41_spl
| ~ sQ22_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f1964,f764,f718,f780,f975]) ).
fof(f2026,plain,
( ~ sQ22_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f1953,f744,f718]) ).
fof(f2027,plain,
( ~ sQ65_spl
| ~ sQ51_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f1838,f842,f812,f890]) ).
fof(f2028,plain,
( ~ sQ13_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f1873,f741,f689]) ).
fof(f2029,plain,
( sQ70_spl
| ~ sQ23_spl
| ~ sQ60_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f1904,f692,f842,f721,f919]) ).
fof(f2035,plain,
( ~ sQ59_spl
| op(e0,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f839,f92]) ).
fof(f2036,plain,
( ~ sQ59_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f2035,f682,f838]) ).
fof(f2037,plain,
( ~ sQ115_spl
| ~ sQ4_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f1961,f650,f660,f1139]) ).
fof(f2039,plain,
( ~ sQ16_spl
| e0 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f700,f108]) ).
fof(f2040,plain,
( ~ sQ16_spl
| e0 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f700,f109]) ).
fof(f2041,plain,
( ~ sQ16_spl
| e0 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f700,f82]) ).
fof(f2042,plain,
( ~ sQ16_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f2040,f725,f699]) ).
fof(f2043,plain,
( ~ sQ16_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f2041,f803,f699]) ).
fof(f2044,plain,
( ~ sQ51_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f1795,f708,f812]) ).
fof(f2045,plain,
( ~ sQ44_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f2010,f764,f790]) ).
fof(f2047,plain,
( ~ sQ51_spl
| e3 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f813,f121]) ).
fof(f2056,plain,
( ~ sQ38_spl
| e2 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f771,f117]) ).
fof(f2061,plain,
( ~ sQ26_spl
| op(e0,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f732,f90]) ).
fof(f2079,plain,
( ~ sQ32_spl
| e0 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f752,f115]) ).
fof(f2080,plain,
( ~ sQ32_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f2079,f777,f751]) ).
fof(f2081,plain,
( ~ sQ115_spl
| ~ sQ4_spl
| op(e0,e0) = e1 ),
inference(forward_demodulation,[status(thm)],[f661,f1140]) ).
fof(f2092,plain,
( sQ78_spl
| ~ sQ60_spl
| e1 != op(op(e0,op(e3,e3)),op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f843,f949]) ).
fof(f2093,plain,
( sQ78_spl
| ~ sQ60_spl
| e1 != op(op(e0,e0),op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f843,f2092]) ).
fof(f2094,plain,
( sQ78_spl
| ~ sQ60_spl
| e1 != op(op(e0,e0),e0) ),
inference(forward_demodulation,[status(thm)],[f843,f2093]) ).
fof(f2101,plain,
( ~ sQ57_spl
| op(e2,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f833,f95]) ).
fof(f2108,plain,
( ~ sQ40_spl
| op(e0,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f778,f91]) ).
fof(f2111,plain,
( ~ sQ45_spl
| op(e2,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f794,f118]) ).
fof(f2116,plain,
( ~ sQ115_spl
| ~ sQ4_spl
| e1 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f2081,f78]) ).
fof(f2135,plain,
( ~ sQ37_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f768,f2111]) ).
fof(f2136,plain,
( ~ sQ37_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f2135]) ).
fof(f2137,plain,
( sQ75_spl
| ~ sQ40_spl
| e3 != op(e0,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f778,f938]) ).
fof(f2138,plain,
( sQ75_spl
| ~ sQ40_spl
| e3 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f778,f2137]) ).
fof(f2140,plain,
( sQ76_spl
| ~ sQ40_spl
| e3 != op(op(e0,op(e2,e2)),op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f778,f942]) ).
fof(f2141,plain,
( sQ76_spl
| ~ sQ40_spl
| e3 != op(op(e0,e0),op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f778,f2140]) ).
fof(f2145,plain,
( sQ76_spl
| ~ sQ41_spl
| ~ sQ22_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f1966,f773,f718,f780,f940]) ).
fof(f2146,plain,
( ~ sQ34_spl
| e2 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f758,f116]) ).
fof(f2148,plain,
( ~ sQ57_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f2101,f780,f832]) ).
fof(f2149,plain,
( ~ sQ41_spl
| ~ sQ40_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f778,f781]) ).
fof(f2150,plain,
( ~ sQ41_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2149,f126]) ).
fof(f2151,plain,
( ~ sQ41_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f2150]) ).
fof(f2156,plain,
( sQ116_spl
| ~ sQ10_spl
| op(e0,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f680,f1145]) ).
fof(f2157,plain,
( sQ116_spl
| ~ sQ10_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f680,f2156]) ).
fof(f2158,plain,
( sQ116_spl
| ~ sQ10_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2157]) ).
fof(f2159,plain,
( sQ116_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f2158]) ).
fof(f2160,plain,
( ~ sQ9_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f1790,f728,f676]) ).
fof(f2164,plain,
( ~ sQ39_spl
| e3 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f774,f89]) ).
fof(f2173,plain,
( ~ sQ5_spl
| op(e0,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f664,f102]) ).
fof(f2174,plain,
( ~ sQ5_spl
| e1 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f664,f86]) ).
fof(f2184,plain,
( ~ sQ17_spl
| e1 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f703,f108]) ).
fof(f2187,plain,
( ~ sQ17_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f2184,f715,f702]) ).
fof(f2189,plain,
( ~ sQ26_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2061,f679,f731]) ).
fof(f2190,plain,
( ~ sQ16_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f2039,f712,f699]) ).
fof(f2191,plain,
( sQ115_spl
| ~ sQ5_spl
| op(e0,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f664,f1141]) ).
fof(f2192,plain,
( sQ115_spl
| ~ sQ5_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f664,f2191]) ).
fof(f2193,plain,
( sQ115_spl
| ~ sQ5_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2192]) ).
fof(f2194,plain,
( sQ115_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f2193]) ).
fof(f2195,plain,
( ~ sQ51_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f2047,f838,f812]) ).
fof(f2197,plain,
( ~ sQ39_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f2164,f825,f773]) ).
fof(f2204,plain,
( ~ sQ2_spl
| e2 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f654,f79]) ).
fof(f2207,plain,
( ~ sQ62_spl
| op(e1,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f849,f100]) ).
fof(f2216,plain,
( ~ sQ41_spl
| op(e1,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f781,f93]) ).
fof(f2219,plain,
( ~ sQ34_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f758,f2204]) ).
fof(f2220,plain,
( ~ sQ34_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f2219]) ).
fof(f2223,plain,
( ~ sQ5_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f2173,f650,f663]) ).
fof(f2226,plain,
( ~ sQ40_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2108,f673,f777]) ).
fof(f2227,plain,
( ~ sQ34_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f2146,f796,f757]) ).
fof(f2228,plain,
( ~ sQ5_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f2174,f819,f663]) ).
fof(f2229,plain,
( ~ sQ38_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f2056,f783,f770]) ).
fof(f2230,plain,
( ~ sQ62_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f2207,f744,f848]) ).
fof(f2231,plain,
( ~ sQ55_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f1987,f721,f825]) ).
fof(f2232,plain,
( ~ sQ6_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f1864,f692,f666]) ).
fof(f2235,plain,
( ~ sQ53_spl
| op(e1,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f820,f88]) ).
fof(f2241,plain,
( ~ sQ47_spl
| op(e2,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f800,f116]) ).
fof(f2252,plain,
( ~ sQ23_spl
| op(e0,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f722,f84]) ).
fof(f2262,plain,
( ~ sQ59_spl
| op(e2,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f839,f95]) ).
fof(f2276,plain,
( ~ sQ10_spl
| e2 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f680,f107]) ).
fof(f2280,plain,
( ~ sQ3_spl
| ~ sQ0_spl
| e0 = e3 ),
inference(backward_demodulation,[status(thm)],[f648,f657]) ).
fof(f2281,plain,
( ~ sQ3_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2280,f128]) ).
fof(f2282,plain,
( ~ sQ3_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f2281]) ).
fof(f2284,plain,
( ~ sQ60_spl
| ~ sQ62_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f849,f843]) ).
fof(f2285,plain,
( ~ sQ60_spl
| ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2284,f127]) ).
fof(f2286,plain,
( ~ sQ60_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f2285]) ).
fof(f2289,plain,
( ~ sQ59_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f2262,f786,f838]) ).
fof(f2293,plain,
( ~ sQ31_spl
| op(e1,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f748,f110]) ).
fof(f2294,plain,
( ~ sQ31_spl
| op(e1,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f748,f113]) ).
fof(f2299,plain,
( ~ sQ17_spl
| e1 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f703,f82]) ).
fof(f2302,plain,
( ~ sQ61_spl
| op(e0,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f846,f98]) ).
fof(f2303,plain,
( sQ88_spl
| ~ sQ61_spl
| e0 != op(op(op(e3,e3),op(e3,e3)),e1) ),
inference(backward_demodulation,[status(thm)],[f846,f985]) ).
fof(f2304,plain,
( sQ88_spl
| ~ sQ61_spl
| e0 != op(op(e1,op(e3,e3)),e1) ),
inference(forward_demodulation,[status(thm)],[f846,f2303]) ).
fof(f2305,plain,
( sQ88_spl
| ~ sQ61_spl
| e0 != op(op(e1,e1),e1) ),
inference(forward_demodulation,[status(thm)],[f846,f2304]) ).
fof(f2314,plain,
( ~ sQ48_spl
| op(e0,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f804,f80]) ).
fof(f2359,plain,
( ~ sQ36_spl
| e0 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f765,f117]) ).
fof(f2374,plain,
( ~ sQ55_spl
| ~ sQ54_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f823,f826]) ).
fof(f2375,plain,
( ~ sQ55_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2374,f131]) ).
fof(f2376,plain,
( ~ sQ55_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f2375]) ).
fof(f2385,plain,
( ~ sQ59_spl
| ~ sQ56_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f830,f839]) ).
fof(f2386,plain,
( ~ sQ59_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2385,f128]) ).
fof(f2387,plain,
( ~ sQ59_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f2386]) ).
fof(f2388,plain,
( ~ sQ31_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f2293,f708,f747]) ).
fof(f2391,plain,
( ~ sQ11_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f1549,f786,f682]) ).
fof(f2392,plain,
( ~ sQ115_spl
| ~ sQ4_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f2116,f702,f660,f1139]) ).
fof(f2393,plain,
( ~ sQ10_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f2276,f692,f679]) ).
fof(f2394,plain,
( ~ sQ48_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f2314,f647,f803]) ).
fof(f2395,plain,
( ~ sQ53_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f2235,f715,f819]) ).
fof(f2396,plain,
( ~ sQ31_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f2294,f734,f747]) ).
fof(f2398,plain,
( ~ sQ17_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f2299,f806,f702]) ).
fof(f2399,plain,
( ~ sQ27_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f1547,f786,f734]) ).
fof(f2450,plain,
( ~ sQ61_spl
| op(e3,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f846,f125]) ).
fof(f2452,plain,
( ~ sQ21_spl
| e1 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f716,f87]) ).
fof(f2455,plain,
( ~ sQ44_spl
| op(e1,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f791,f99]) ).
fof(f2473,plain,
( ~ sQ15_spl
| op(e0,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f696,f107]) ).
fof(f2522,plain,
( ~ sQ1_spl
| e1 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f651,f80]) ).
fof(f2560,plain,
( ~ sQ41_spl
| ~ sQ95_spl
| ~ sQ34_spl
| e0 = e1 ),
inference(backward_demodulation,[status(thm)],[f2561,f781]) ).
fof(f2561,plain,
( ~ sQ95_spl
| ~ sQ34_spl
| op(e2,e2) = e0 ),
inference(forward_demodulation,[status(thm)],[f758,f1019]) ).
fof(f2562,plain,
( ~ sQ41_spl
| ~ sQ95_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2560,f126]) ).
fof(f2563,plain,
( ~ sQ41_spl
| ~ sQ95_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f2562]) ).
fof(f2578,plain,
( ~ sQ61_spl
| op(e3,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f846,f124]) ).
fof(f2579,plain,
( ~ sQ61_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f2302,f689,f845]) ).
fof(f2580,plain,
( ~ sQ61_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f2450,f832,f845]) ).
fof(f2582,plain,
( ~ sQ1_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f2522,f806,f650]) ).
fof(f2583,plain,
( ~ sQ47_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f2241,f760,f799]) ).
fof(f2584,plain,
( ~ sQ21_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f2452,f767,f715]) ).
fof(f2585,plain,
( sQ75_spl
| ~ sQ40_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f2138,f656,f777,f936]) ).
fof(f2610,plain,
( ~ sQ1_spl
| e1 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f651,f78]) ).
fof(f2620,plain,
( ~ sQ20_spl
| e0 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f713,f112]) ).
fof(f2635,plain,
( ~ sQ7_spl
| e3 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f670,f106]) ).
fof(f2638,plain,
( ~ sQ30_spl
| op(e1,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f745,f110]) ).
fof(f2644,plain,
( ~ sQ19_spl
| e3 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f709,f109]) ).
fof(f2646,plain,
( ~ sQ19_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f2644,f734,f708]) ).
fof(f2649,plain,
( ~ sQ4_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1947,f673,f660]) ).
fof(f2652,plain,
( ~ sQ8_spl
| ~ sQ10_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f680,f674]) ).
fof(f2653,plain,
( ~ sQ8_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2652,f127]) ).
fof(f2654,plain,
( ~ sQ8_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f2653]) ).
fof(f2680,plain,
( ~ sQ0_spl
| e0 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f648,f102]) ).
fof(f2712,plain,
( ~ sQ95_spl
| ~ sQ33_spl
| op(e2,e1) = e0 ),
inference(forward_demodulation,[status(thm)],[f755,f1019]) ).
fof(f2713,plain,
( ~ sQ95_spl
| ~ sQ33_spl
| ~ sQ38_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f771,f2712]) ).
fof(f2714,plain,
( ~ sQ95_spl
| ~ sQ33_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2713,f127]) ).
fof(f2715,plain,
( ~ sQ95_spl
| ~ sQ33_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f2714]) ).
fof(f2716,plain,
( ~ sQ67_spl
| ~ sQ59_spl
| op(e3,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f839,f899]) ).
fof(f2723,plain,
( ~ sQ7_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f2635,f695,f669]) ).
fof(f2735,plain,
( ~ sQ62_spl
| op(e3,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f849,f124]) ).
fof(f2739,plain,
( ~ sQ62_spl
| op(e0,e3) != e2 ),
inference(forward_demodulation,[status(thm)],[f849,f98]) ).
fof(f2770,plain,
( ~ sQ43_spl
| e3 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f787,f119]) ).
fof(f2772,plain,
( ~ sQ45_spl
| op(e0,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f794,f97]) ).
fof(f2776,plain,
( ~ sQ38_spl
| e2 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f771,f118]) ).
fof(f2788,plain,
( sQ78_spl
| ~ sQ62_spl
| e1 != op(op(e2,op(e3,e3)),op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f849,f949]) ).
fof(f2789,plain,
( sQ78_spl
| ~ sQ62_spl
| e1 != op(op(e2,e2),op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f849,f2788]) ).
fof(f2790,plain,
( sQ78_spl
| ~ sQ62_spl
| ~ sQ43_spl
| e1 != op(e3,op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f787,f2789]) ).
fof(f2791,plain,
( sQ78_spl
| ~ sQ62_spl
| ~ sQ43_spl
| e1 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f849,f2790]) ).
fof(f2820,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f654,f657]) ).
fof(f2821,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2820,f131]) ).
fof(f2822,plain,
( ~ sQ3_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f2821]) ).
fof(f2828,plain,
( sQ73_spl
| ~ sQ20_spl
| e2 != op(e0,op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f713,f931]) ).
fof(f2829,plain,
( sQ73_spl
| ~ sQ20_spl
| e2 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f713,f2828]) ).
fof(f2836,plain,
( ~ sQ1_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f2610,f702,f650]) ).
fof(f2843,plain,
( sQ95_spl
| ~ sQ32_spl
| op(e2,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f752,f1020]) ).
fof(f2844,plain,
( sQ95_spl
| ~ sQ32_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f752,f2843]) ).
fof(f2845,plain,
( sQ95_spl
| ~ sQ32_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2844]) ).
fof(f2846,plain,
( sQ95_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f2845]) ).
fof(f2893,plain,
( sQ77_spl
| ~ sQ40_spl
| e1 != op(op(e2,e2),e0) ),
inference(backward_demodulation,[status(thm)],[f778,f945]) ).
fof(f2894,plain,
( sQ74_spl
| ~ sQ40_spl
| e1 != op(op(op(e2,e2),op(e2,e2)),e0) ),
inference(backward_demodulation,[status(thm)],[f778,f935]) ).
fof(f2897,plain,
( sQ77_spl
| ~ sQ40_spl
| e1 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f778,f2893]) ).
fof(f2898,plain,
( sQ74_spl
| ~ sQ40_spl
| e1 != op(op(e0,op(e2,e2)),e0) ),
inference(forward_demodulation,[status(thm)],[f778,f2894]) ).
fof(f2899,plain,
( sQ74_spl
| ~ sQ40_spl
| e1 != op(op(e0,e0),e0) ),
inference(forward_demodulation,[status(thm)],[f778,f2898]) ).
fof(f2920,plain,
( sQ72_spl
| ~ sQ22_spl
| e3 != op(op(op(e1,e1),op(e1,e1)),e2) ),
inference(backward_demodulation,[status(thm)],[f719,f928]) ).
fof(f2926,plain,
( sQ72_spl
| ~ sQ22_spl
| e3 != op(op(e2,op(e1,e1)),e2) ),
inference(forward_demodulation,[status(thm)],[f719,f2920]) ).
fof(f2927,plain,
( sQ72_spl
| ~ sQ22_spl
| e3 != op(op(e2,e2),e2) ),
inference(forward_demodulation,[status(thm)],[f719,f2926]) ).
fof(f2928,plain,
( sQ72_spl
| ~ sQ22_spl
| ~ sQ40_spl
| e3 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f778,f2927]) ).
fof(f2938,plain,
( sQ84_spl
| ~ sQ2_spl
| e3 != op(op(op(e0,e0),op(e0,e0)),e2) ),
inference(backward_demodulation,[status(thm)],[f654,f970]) ).
fof(f2948,plain,
( sQ84_spl
| ~ sQ2_spl
| e3 != op(op(e2,op(e0,e0)),e2) ),
inference(forward_demodulation,[status(thm)],[f654,f2938]) ).
fof(f2949,plain,
( sQ84_spl
| ~ sQ2_spl
| e3 != op(op(e2,e2),e2) ),
inference(forward_demodulation,[status(thm)],[f654,f2948]) ).
fof(f3010,plain,
( sQ78_spl
| ~ sQ60_spl
| ~ sQ2_spl
| e1 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f654,f2094]) ).
fof(f3011,plain,
( sQ78_spl
| ~ sQ60_spl
| ~ sQ2_spl
| ~ sQ33_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f755,f3010]) ).
fof(f3012,plain,
( sQ78_spl
| ~ sQ60_spl
| ~ sQ2_spl
| ~ sQ33_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3011]) ).
fof(f3013,plain,
( sQ78_spl
| ~ sQ60_spl
| ~ sQ2_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f3012]) ).
fof(f3019,plain,
( ~ sQ106_spl
| ~ sQ22_spl
| op(e1,e2) = e1 ),
inference(forward_demodulation,[status(thm)],[f719,f1077]) ).
fof(f3021,plain,
( ~ sQ108_spl
| ~ sQ29_spl
| op(e1,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f742,f1085]) ).
fof(f3022,plain,
( ~ sQ108_spl
| ~ sQ29_spl
| ~ sQ22_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f719,f3021]) ).
fof(f3023,plain,
( ~ sQ108_spl
| ~ sQ29_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3022,f131]) ).
fof(f3024,plain,
( ~ sQ108_spl
| ~ sQ29_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f3023]) ).
fof(f3062,plain,
( ~ sQ2_spl
| e2 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f654,f78]) ).
fof(f3099,plain,
( ~ sQ15_spl
| e3 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f696,f98]) ).
fof(f3111,plain,
( sQ115_spl
| ~ sQ4_spl
| op(e0,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f661,f1141]) ).
fof(f3128,plain,
( ~ sQ49_spl
| ~ sQ67_spl
| ~ sQ56_spl
| e2 = e1 ),
inference(backward_demodulation,[status(thm)],[f3129,f807]) ).
fof(f3129,plain,
( ~ sQ67_spl
| ~ sQ56_spl
| op(e3,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f830,f899]) ).
fof(f3130,plain,
( ~ sQ49_spl
| ~ sQ67_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3128,f129]) ).
fof(f3131,plain,
( ~ sQ49_spl
| ~ sQ67_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f3130]) ).
fof(f3132,plain,
( sQ74_spl
| ~ sQ40_spl
| ~ sQ2_spl
| e1 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f654,f2899]) ).
fof(f3140,plain,
( ~ sQ45_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f2772,f689,f793]) ).
fof(f3147,plain,
( ~ sQ53_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f1957,f806,f819]) ).
fof(f3154,plain,
( ~ sQ41_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f2216,f728,f780]) ).
fof(f3156,plain,
( ~ sQ15_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f3099,f851,f695]) ).
fof(f3159,plain,
( ~ sQ15_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f2473,f682,f695]) ).
fof(f3161,plain,
( ~ sQ61_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f2578,f819,f845]) ).
fof(f3162,plain,
( ~ sQ95_spl
| ~ sQ35_spl
| op(e2,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f761,f1019]) ).
fof(f3163,plain,
( sQ115_spl
| ~ sQ4_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f3111,f650,f660,f1139]) ).
fof(f3169,plain,
( ~ sQ44_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f2455,f738,f790]) ).
fof(f3173,plain,
( ~ sQ0_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f2680,f660,f647]) ).
fof(f3174,plain,
( sQ72_spl
| ~ sQ22_spl
| ~ sQ40_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f2928,f682,f777,f718,f926]) ).
fof(f3178,plain,
( ~ sQ106_spl
| ~ sQ22_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f3019,f728,f718,f1076]) ).
fof(f3179,plain,
( ~ sQ20_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f2620,f738,f712]) ).
fof(f3255,plain,
( sQ92_spl
| ~ sQ22_spl
| e0 != op(op(e2,op(e1,e1)),op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f719,f1001]) ).
fof(f3256,plain,
( sQ92_spl
| ~ sQ22_spl
| e0 != op(op(e2,e2),op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f719,f3255]) ).
fof(f3257,plain,
( sQ92_spl
| ~ sQ22_spl
| ~ sQ41_spl
| e0 != op(e1,op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f781,f3256]) ).
fof(f3258,plain,
( sQ92_spl
| ~ sQ22_spl
| ~ sQ41_spl
| e0 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f719,f3257]) ).
fof(f3262,plain,
( ~ sQ24_spl
| sQ92_spl
| ~ sQ22_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f726,f3258]) ).
fof(f3263,plain,
( ~ sQ24_spl
| sQ92_spl
| ~ sQ22_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f3262]) ).
fof(f3270,plain,
( ~ sQ105_spl
| ~ sQ17_spl
| op(e1,e1) = e0 ),
inference(forward_demodulation,[status(thm)],[f703,f1073]) ).
fof(f3281,plain,
( ~ sQ20_spl
| e0 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f713,f87]) ).
fof(f3285,plain,
( ~ sQ45_spl
| op(e1,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f794,f99]) ).
fof(f3334,plain,
( ~ sQ63_spl
| ~ sQ60_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f843,f852]) ).
fof(f3335,plain,
( ~ sQ63_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3334,f128]) ).
fof(f3336,plain,
( ~ sQ63_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f3335]) ).
fof(f3377,plain,
( ~ sQ37_spl
| op(e2,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f768,f114]) ).
fof(f3383,plain,
( sQ71_spl
| ~ sQ22_spl
| e3 != op(e2,op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f719,f924]) ).
fof(f3384,plain,
( sQ71_spl
| ~ sQ22_spl
| e3 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f719,f3383]) ).
fof(f3402,plain,
( ~ sQ24_spl
| e0 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f726,f93]) ).
fof(f3448,plain,
( ~ sQ55_spl
| e3 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f826,f123]) ).
fof(f3482,plain,
( ~ sQ48_spl
| e0 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f804,f122]) ).
fof(f3492,plain,
( sQ83_spl
| ~ sQ2_spl
| e3 != op(e2,op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f654,f966]) ).
fof(f3493,plain,
( sQ83_spl
| ~ sQ2_spl
| e3 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f654,f3492]) ).
fof(f3506,plain,
( sQ91_spl
| ~ sQ2_spl
| e1 != op(e2,op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f654,f997]) ).
fof(f3507,plain,
( sQ91_spl
| ~ sQ2_spl
| e1 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f654,f3506]) ).
fof(f3516,plain,
( ~ sQ66_spl
| ~ sQ55_spl
| op(e3,e3) = e1 ),
inference(forward_demodulation,[status(thm)],[f826,f895]) ).
fof(f3517,plain,
( ~ sQ66_spl
| ~ sQ55_spl
| ~ sQ62_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f849,f3516]) ).
fof(f3518,plain,
( ~ sQ66_spl
| ~ sQ55_spl
| ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3517,f129]) ).
fof(f3519,plain,
( ~ sQ66_spl
| ~ sQ55_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f3518]) ).
fof(f3520,plain,
( sQ77_spl
| ~ sQ40_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f2897,f650,f777,f943]) ).
fof(f3521,plain,
( ~ sQ35_spl
| op(e1,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f761,f81]) ).
fof(f3534,plain,
( ~ sQ95_spl
| ~ sQ35_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f3162,f790,f760,f1018]) ).
fof(f3553,plain,
( ~ sQ60_spl
| op(e1,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f843,f100]) ).
fof(f3633,plain,
( sQ82_spl
| ~ sQ3_spl
| e2 != op(op(op(e0,e0),op(e0,e0)),e3) ),
inference(backward_demodulation,[status(thm)],[f657,f963]) ).
fof(f3638,plain,
( sQ82_spl
| ~ sQ3_spl
| e2 != op(op(e3,op(e0,e0)),e3) ),
inference(forward_demodulation,[status(thm)],[f657,f3633]) ).
fof(f3639,plain,
( sQ82_spl
| ~ sQ3_spl
| e2 != op(op(e3,e3),e3) ),
inference(forward_demodulation,[status(thm)],[f657,f3638]) ).
fof(f3708,plain,
( ~ sQ50_spl
| e2 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f810,f120]) ).
fof(f3734,plain,
( sQ87_spl
| ~ sQ41_spl
| e0 != op(e1,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f781,f981]) ).
fof(f3735,plain,
( sQ87_spl
| ~ sQ41_spl
| e0 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f781,f3734]) ).
fof(f3736,plain,
( sQ87_spl
| ~ sQ41_spl
| ~ sQ20_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f713,f3735]) ).
fof(f3737,plain,
( sQ87_spl
| ~ sQ41_spl
| ~ sQ20_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3736]) ).
fof(f3738,plain,
( sQ87_spl
| ~ sQ41_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f3737]) ).
fof(f3743,plain,
( sQ76_spl
| ~ sQ41_spl
| e3 != op(op(e1,op(e2,e2)),op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f781,f942]) ).
fof(f3744,plain,
( sQ76_spl
| ~ sQ41_spl
| e3 != op(op(e1,e1),op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f781,f3743]) ).
fof(f3745,plain,
( sQ76_spl
| ~ sQ41_spl
| ~ sQ20_spl
| e3 != op(e0,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f713,f3744]) ).
fof(f3746,plain,
( sQ76_spl
| ~ sQ41_spl
| ~ sQ20_spl
| e3 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f781,f3745]) ).
fof(f3752,plain,
( ~ sQ96_spl
| ~ sQ39_spl
| op(e2,e3) = e1 ),
inference(forward_demodulation,[status(thm)],[f774,f1023]) ).
fof(f3753,plain,
( ~ sQ96_spl
| ~ sQ39_spl
| ~ sQ46_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f797,f3752]) ).
fof(f3754,plain,
( ~ sQ96_spl
| ~ sQ39_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3753,f129]) ).
fof(f3755,plain,
( ~ sQ96_spl
| ~ sQ39_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f3754]) ).
fof(f3756,plain,
( sQ74_spl
| ~ sQ40_spl
| ~ sQ3_spl
| e1 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f657,f2899]) ).
fof(f3806,plain,
( sQ76_spl
| ~ sQ40_spl
| e3 != op(op(e0,op(e2,e2)),op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f778,f942]) ).
fof(f3807,plain,
( sQ76_spl
| ~ sQ40_spl
| e3 != op(op(e0,e0),op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f778,f3806]) ).
fof(f3818,plain,
( ~ sQ10_spl
| e2 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f680,f91]) ).
fof(f3839,plain,
( ~ sQ49_spl
| sQ74_spl
| ~ sQ40_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f807,f3756]) ).
fof(f3840,plain,
( ~ sQ49_spl
| sQ74_spl
| ~ sQ40_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f3839]) ).
fof(f3841,plain,
( sQ76_spl
| ~ sQ40_spl
| e3 != op(op(e0,e0),e0) ),
inference(forward_demodulation,[status(thm)],[f778,f3807]) ).
fof(f3843,plain,
( sQ76_spl
| ~ sQ40_spl
| e3 != op(op(e0,e0),e0) ),
inference(forward_demodulation,[status(thm)],[f778,f2141]) ).
fof(f3856,plain,
( ~ sQ108_spl
| ~ sQ29_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f3021,f721,f741,f1084]) ).
fof(f3859,plain,
( ~ sQ36_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f2359,f777,f764]) ).
fof(f3860,plain,
( ~ sQ60_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f3553,f738,f842]) ).
fof(f3883,plain,
( ~ sQ5_spl
| e1 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f664,f84]) ).
fof(f3905,plain,
( ~ sQ107_spl
| ~ sQ25_spl
| op(e1,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f729,f1081]) ).
fof(f3908,plain,
( sQ76_spl
| ~ sQ41_spl
| ~ sQ20_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f3746,f669,f712,f780,f940]) ).
fof(f3913,plain,
( ~ sQ96_spl
| ~ sQ38_spl
| op(e2,e2) = e1 ),
inference(forward_demodulation,[status(thm)],[f771,f1023]) ).
fof(f3960,plain,
( ~ sQ14_spl
| e2 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f693,f96]) ).
fof(f3968,plain,
( ~ sQ14_spl
| e2 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f693,f97]) ).
fof(f4027,plain,
( sQ73_spl
| ~ sQ23_spl
| e2 != op(op(e1,e1),e3) ),
inference(backward_demodulation,[status(thm)],[f722,f931]) ).
fof(f4031,plain,
( sQ73_spl
| ~ sQ23_spl
| e2 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f722,f4027]) ).
fof(f4092,plain,
( sQ93_spl
| ~ sQ23_spl
| e0 != op(e3,op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f722,f1005]) ).
fof(f4093,plain,
( sQ93_spl
| ~ sQ23_spl
| e0 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f722,f4092]) ).
fof(f4094,plain,
( sQ93_spl
| ~ sQ23_spl
| ~ sQ60_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f843,f4093]) ).
fof(f4095,plain,
( sQ93_spl
| ~ sQ23_spl
| ~ sQ60_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4094]) ).
fof(f4096,plain,
( sQ93_spl
| ~ sQ23_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f4095]) ).
fof(f4124,plain,
( ~ sQ24_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f3402,f777,f725]) ).
fof(f4130,plain,
( ~ sQ2_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f3062,f705,f653]) ).
fof(f4131,plain,
( ~ sQ48_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f3482,f842,f803]) ).
fof(f4136,plain,
( ~ sQ58_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f1934,f822,f835]) ).
fof(f4142,plain,
( sQ70_spl
| ~ sQ23_spl
| e2 != op(op(e3,op(e1,e1)),op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f722,f921]) ).
fof(f4143,plain,
( sQ70_spl
| ~ sQ23_spl
| e2 != op(op(e3,e3),op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f722,f4142]) ).
fof(f4160,plain,
( ~ sQ107_spl
| ~ sQ25_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f3905,f718,f728,f1080]) ).
fof(f4161,plain,
( ~ sQ67_spl
| ~ sQ59_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f2716,f848,f838,f898]) ).
fof(f4162,plain,
( ~ sQ62_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f2735,f822,f848]) ).
fof(f4163,plain,
( ~ sQ62_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f2739,f692,f848]) ).
fof(f4164,plain,
( ~ sQ3_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f1856,f669,f656]) ).
fof(f4167,plain,
( ~ sQ37_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f3377,f754,f767]) ).
fof(f4168,plain,
( ~ sQ30_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f2638,f705,f744]) ).
fof(f4260,plain,
( sQ88_spl
| ~ sQ62_spl
| e0 != op(op(op(e3,e3),op(e3,e3)),e2) ),
inference(backward_demodulation,[status(thm)],[f849,f985]) ).
fof(f4264,plain,
( sQ88_spl
| ~ sQ62_spl
| e0 != op(op(e2,op(e3,e3)),e2) ),
inference(forward_demodulation,[status(thm)],[f849,f4260]) ).
fof(f4265,plain,
( sQ88_spl
| ~ sQ62_spl
| e0 != op(op(e2,e2),e2) ),
inference(forward_demodulation,[status(thm)],[f849,f4264]) ).
fof(f4266,plain,
( sQ88_spl
| ~ sQ62_spl
| ~ sQ41_spl
| e0 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f781,f4265]) ).
fof(f4267,plain,
( sQ88_spl
| ~ sQ62_spl
| ~ sQ41_spl
| ~ sQ24_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f726,f4266]) ).
fof(f4268,plain,
( sQ88_spl
| ~ sQ62_spl
| ~ sQ41_spl
| ~ sQ24_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4267]) ).
fof(f4269,plain,
( sQ88_spl
| ~ sQ62_spl
| ~ sQ41_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f4268]) ).
fof(f4274,plain,
( sQ81_spl
| ~ sQ62_spl
| e1 != op(e2,op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f849,f959]) ).
fof(f4275,plain,
( sQ81_spl
| ~ sQ62_spl
| e1 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f849,f4274]) ).
fof(f4276,plain,
( sQ81_spl
| ~ sQ62_spl
| ~ sQ41_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f781,f4275]) ).
fof(f4277,plain,
( sQ81_spl
| ~ sQ62_spl
| ~ sQ41_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4276]) ).
fof(f4278,plain,
( sQ81_spl
| ~ sQ62_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f4277]) ).
fof(f4279,plain,
( sQ91_spl
| ~ sQ2_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f3507,f780,f653,f995]) ).
fof(f4299,plain,
( sQ88_spl
| ~ sQ61_spl
| ~ sQ22_spl
| e0 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f719,f2305]) ).
fof(f4322,plain,
( sQ84_spl
| ~ sQ2_spl
| ~ sQ41_spl
| e3 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f781,f2949]) ).
fof(f4359,plain,
( sQ88_spl
| ~ sQ61_spl
| ~ sQ22_spl
| ~ sQ36_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f765,f4299]) ).
fof(f4360,plain,
( sQ88_spl
| ~ sQ61_spl
| ~ sQ22_spl
| ~ sQ36_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4359]) ).
fof(f4361,plain,
( sQ88_spl
| ~ sQ61_spl
| ~ sQ22_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f4360]) ).
fof(f4362,plain,
( sQ79_spl
| ~ sQ66_spl
| ~ sQ55_spl
| e2 != op(e1,op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f3516,f952]) ).
fof(f4363,plain,
( sQ79_spl
| ~ sQ66_spl
| ~ sQ55_spl
| e2 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f3516,f4362]) ).
fof(f4364,plain,
( sQ79_spl
| ~ sQ66_spl
| ~ sQ55_spl
| ~ sQ22_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f719,f4363]) ).
fof(f4365,plain,
( sQ79_spl
| ~ sQ66_spl
| ~ sQ55_spl
| ~ sQ22_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4364]) ).
fof(f4366,plain,
( sQ79_spl
| ~ sQ66_spl
| ~ sQ55_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f4365]) ).
fof(f4367,plain,
( sQ73_spl
| ~ sQ20_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f2829,f653,f712,f929]) ).
fof(f4373,plain,
( ~ sQ59_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f839,f3448]) ).
fof(f4374,plain,
( ~ sQ59_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f4373]) ).
fof(f4420,plain,
( sQ71_spl
| ~ sQ20_spl
| e3 != op(e0,op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f713,f924]) ).
fof(f4421,plain,
( sQ71_spl
| ~ sQ20_spl
| e3 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f713,f4420]) ).
fof(f4423,plain,
( sQ117_spl
| ~ sQ15_spl
| op(e0,e3) != e3 ),
inference(forward_demodulation,[status(thm)],[f696,f1149]) ).
fof(f4424,plain,
( sQ117_spl
| ~ sQ15_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f696,f4423]) ).
fof(f4425,plain,
( sQ117_spl
| ~ sQ15_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4424]) ).
fof(f4426,plain,
( sQ117_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f4425]) ).
fof(f4430,plain,
( ~ sQ38_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f2776,f796,f770]) ).
fof(f4431,plain,
( sQ71_spl
| ~ sQ20_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f4421,f656,f712,f922]) ).
fof(f4440,plain,
( ~ sQ14_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f3968,f796,f692]) ).
fof(f4455,plain,
( sQ72_spl
| ~ sQ22_spl
| ~ sQ41_spl
| e3 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f781,f2927]) ).
fof(f4468,plain,
( ~ sQ76_spl
| ~ sQ41_spl
| e3 = op(op(e1,op(e2,e2)),op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f781,f941]) ).
fof(f4469,plain,
( ~ sQ76_spl
| ~ sQ41_spl
| e3 = op(op(e1,e1),op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f781,f4468]) ).
fof(f4470,plain,
( ~ sQ76_spl
| ~ sQ41_spl
| e3 = op(op(e1,e1),e1) ),
inference(forward_demodulation,[status(thm)],[f781,f4469]) ).
fof(f4504,plain,
( sQ72_spl
| ~ sQ22_spl
| ~ sQ41_spl
| ~ sQ27_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f735,f4455]) ).
fof(f4505,plain,
( sQ72_spl
| ~ sQ22_spl
| ~ sQ41_spl
| ~ sQ27_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4504]) ).
fof(f4506,plain,
( sQ72_spl
| ~ sQ22_spl
| ~ sQ41_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f4505]) ).
fof(f4507,plain,
( sQ83_spl
| ~ sQ2_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f3493,f786,f653,f964]) ).
fof(f4509,plain,
( ~ sQ5_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f3883,f715,f663]) ).
fof(f4517,plain,
( ~ sQ95_spl
| ~ sQ34_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f2561,f777,f757,f1018]) ).
fof(f4519,plain,
( ~ sQ105_spl
| ~ sQ17_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f3270,f712,f702,f1072]) ).
fof(f4520,plain,
( ~ sQ96_spl
| ~ sQ38_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f3913,f780,f770,f1022]) ).
fof(f4521,plain,
( sQ74_spl
| ~ sQ40_spl
| ~ sQ2_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f3132,f754,f653,f777,f933]) ).
fof(f4543,plain,
( ~ sQ53_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f820,f123]) ).
fof(f4708,plain,
( sQ70_spl
| ~ sQ20_spl
| e2 != op(op(e0,op(e1,e1)),op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f713,f921]) ).
fof(f4709,plain,
( sQ70_spl
| ~ sQ20_spl
| e2 != op(op(e0,e0),op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f713,f4708]) ).
fof(f4723,plain,
( ~ sQ73_spl
| ~ sQ20_spl
| e2 = op(e0,op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f713,f930]) ).
fof(f4724,plain,
( ~ sQ73_spl
| ~ sQ20_spl
| e2 = op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f713,f4723]) ).
fof(f4730,plain,
( sQ89_spl
| ~ sQ62_spl
| e0 != op(e2,op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f849,f989]) ).
fof(f4731,plain,
( sQ89_spl
| ~ sQ62_spl
| e0 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f849,f4730]) ).
fof(f4732,plain,
( sQ89_spl
| ~ sQ62_spl
| ~ sQ40_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f778,f4731]) ).
fof(f4733,plain,
( sQ89_spl
| ~ sQ62_spl
| ~ sQ40_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4732]) ).
fof(f4734,plain,
( sQ89_spl
| ~ sQ62_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f4733]) ).
fof(f4737,plain,
( sQ78_spl
| ~ sQ62_spl
| e1 != op(op(e2,op(e3,e3)),op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f849,f949]) ).
fof(f4738,plain,
( sQ78_spl
| ~ sQ62_spl
| e1 != op(op(e2,e2),op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f849,f4737]) ).
fof(f4739,plain,
( sQ78_spl
| ~ sQ62_spl
| ~ sQ40_spl
| e1 != op(e0,op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f778,f4738]) ).
fof(f4740,plain,
( sQ78_spl
| ~ sQ62_spl
| ~ sQ40_spl
| e1 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f849,f4739]) ).
fof(f4741,plain,
( sQ78_spl
| ~ sQ62_spl
| ~ sQ40_spl
| ~ sQ9_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f677,f4740]) ).
fof(f4742,plain,
( sQ78_spl
| ~ sQ62_spl
| ~ sQ40_spl
| ~ sQ9_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4741]) ).
fof(f4743,plain,
( sQ78_spl
| ~ sQ62_spl
| ~ sQ40_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f4742]) ).
fof(f4747,plain,
( sQ70_spl
| ~ sQ20_spl
| e2 != op(op(e0,e0),e0) ),
inference(forward_demodulation,[status(thm)],[f713,f4709]) ).
fof(f4816,plain,
( sQ70_spl
| ~ sQ20_spl
| ~ sQ3_spl
| e2 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f657,f4747]) ).
fof(f4956,plain,
( sQ87_spl
| ~ sQ43_spl
| e0 != op(e3,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f787,f981]) ).
fof(f4957,plain,
( sQ87_spl
| ~ sQ43_spl
| e0 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f787,f4956]) ).
fof(f4958,plain,
( sQ87_spl
| ~ sQ43_spl
| ~ sQ60_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f843,f4957]) ).
fof(f4959,plain,
( sQ87_spl
| ~ sQ43_spl
| ~ sQ60_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4958]) ).
fof(f4960,plain,
( sQ87_spl
| ~ sQ43_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f4959]) ).
fof(f4963,plain,
( sQ74_spl
| ~ sQ43_spl
| e1 != op(op(e3,op(e2,e2)),op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f787,f935]) ).
fof(f4964,plain,
( sQ74_spl
| ~ sQ43_spl
| e1 != op(op(e3,e3),op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f787,f4963]) ).
fof(f4965,plain,
( sQ74_spl
| ~ sQ43_spl
| ~ sQ60_spl
| e1 != op(e0,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f843,f4964]) ).
fof(f4966,plain,
( sQ74_spl
| ~ sQ43_spl
| ~ sQ60_spl
| e1 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f787,f4965]) ).
fof(f4967,plain,
( sQ74_spl
| ~ sQ43_spl
| ~ sQ60_spl
| ~ sQ13_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f690,f4966]) ).
fof(f4968,plain,
( sQ74_spl
| ~ sQ43_spl
| ~ sQ60_spl
| ~ sQ13_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4967]) ).
fof(f4969,plain,
( sQ74_spl
| ~ sQ43_spl
| ~ sQ60_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f4968]) ).
fof(f4970,plain,
( sQ74_spl
| ~ sQ43_spl
| e1 != op(op(e3,e3),e3) ),
inference(forward_demodulation,[status(thm)],[f787,f4964]) ).
fof(f5028,plain,
( sQ86_spl
| ~ sQ43_spl
| e0 != op(op(e3,op(e2,e2)),op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f787,f977]) ).
fof(f5029,plain,
( sQ86_spl
| ~ sQ43_spl
| e0 != op(op(e3,e3),op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f787,f5028]) ).
fof(f5030,plain,
( sQ86_spl
| ~ sQ43_spl
| e0 != op(op(e3,e3),e3) ),
inference(forward_demodulation,[status(thm)],[f787,f5029]) ).
fof(f5045,plain,
( sQ85_spl
| ~ sQ1_spl
| e2 != op(e1,op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f651,f973]) ).
fof(f5046,plain,
( sQ85_spl
| ~ sQ1_spl
| e2 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f651,f5045]) ).
fof(f5054,plain,
( sQ86_spl
| ~ sQ43_spl
| ~ sQ61_spl
| e0 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f846,f5030]) ).
fof(f5056,plain,
( sQ80_spl
| ~ sQ61_spl
| e2 != op(op(op(e3,e3),op(e3,e3)),e1) ),
inference(backward_demodulation,[status(thm)],[f846,f956]) ).
fof(f5057,plain,
( sQ86_spl
| ~ sQ43_spl
| ~ sQ61_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f5054,f738,f845,f786,f975]) ).
fof(f5058,plain,
( sQ80_spl
| ~ sQ61_spl
| e2 != op(op(e1,op(e3,e3)),e1) ),
inference(forward_demodulation,[status(thm)],[f846,f5056]) ).
fof(f5059,plain,
( sQ80_spl
| ~ sQ61_spl
| e2 != op(op(e1,e1),e1) ),
inference(forward_demodulation,[status(thm)],[f846,f5058]) ).
fof(f5060,plain,
( sQ77_spl
| ~ sQ43_spl
| e1 != op(e3,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f787,f945]) ).
fof(f5061,plain,
( sQ77_spl
| ~ sQ43_spl
| e1 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f787,f5060]) ).
fof(f5062,plain,
( sQ77_spl
| ~ sQ43_spl
| ~ sQ61_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f846,f5061]) ).
fof(f5063,plain,
( sQ77_spl
| ~ sQ43_spl
| ~ sQ61_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5062]) ).
fof(f5064,plain,
( sQ77_spl
| ~ sQ43_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f5063]) ).
fof(f5073,plain,
( ~ sQ20_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f3281,f764,f712]) ).
fof(f5083,plain,
( ~ sQ60_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f1866,f829,f842]) ).
fof(f5099,plain,
( ~ sQ35_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f3521,f708,f760]) ).
fof(f5126,plain,
( ~ sQ22_spl
| op(e1,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f719,f108]) ).
fof(f5260,plain,
( sQ76_spl
| ~ sQ40_spl
| ~ sQ2_spl
| e3 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f654,f3841]) ).
fof(f5261,plain,
( sQ76_spl
| ~ sQ40_spl
| ~ sQ2_spl
| ~ sQ35_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f761,f5260]) ).
fof(f5262,plain,
( sQ76_spl
| ~ sQ40_spl
| ~ sQ2_spl
| ~ sQ35_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5261]) ).
fof(f5263,plain,
( sQ76_spl
| ~ sQ40_spl
| ~ sQ2_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f5262]) ).
fof(f5264,plain,
( ~ sQ76_spl
| ~ sQ40_spl
| e3 = op(op(e0,op(e2,e2)),op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f778,f941]) ).
fof(f5265,plain,
( ~ sQ76_spl
| ~ sQ40_spl
| e3 = op(op(e0,e0),op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f778,f5264]) ).
fof(f5266,plain,
( ~ sQ76_spl
| ~ sQ40_spl
| ~ sQ2_spl
| e3 = op(e2,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f654,f5265]) ).
fof(f5267,plain,
( ~ sQ76_spl
| ~ sQ40_spl
| ~ sQ2_spl
| e3 = op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f778,f5266]) ).
fof(f5353,plain,
( sQ93_spl
| ~ sQ22_spl
| e0 != op(e2,op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f719,f1005]) ).
fof(f5354,plain,
( sQ93_spl
| ~ sQ22_spl
| e0 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f719,f5353]) ).
fof(f5355,plain,
( sQ93_spl
| ~ sQ22_spl
| ~ sQ40_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f778,f5354]) ).
fof(f5356,plain,
( sQ93_spl
| ~ sQ22_spl
| ~ sQ40_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5355]) ).
fof(f5357,plain,
( sQ93_spl
| ~ sQ22_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f5356]) ).
fof(f5400,plain,
( sQ80_spl
| ~ sQ60_spl
| e2 != op(op(e0,op(e3,e3)),op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f843,f956]) ).
fof(f5401,plain,
( sQ80_spl
| ~ sQ60_spl
| e2 != op(op(e0,e0),op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f843,f5400]) ).
fof(f5402,plain,
( sQ80_spl
| ~ sQ60_spl
| e2 != op(op(e0,e0),e0) ),
inference(forward_demodulation,[status(thm)],[f843,f5401]) ).
fof(f5422,plain,
( sQ80_spl
| ~ sQ60_spl
| ~ sQ1_spl
| e2 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f651,f5402]) ).
fof(f5426,plain,
( sQ80_spl
| ~ sQ60_spl
| ~ sQ1_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f5422,f705,f650,f842,f954]) ).
fof(f5428,plain,
( sQ76_spl
| ~ sQ40_spl
| ~ sQ1_spl
| e3 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f651,f3843]) ).
fof(f5490,plain,
( ~ sQ19_spl
| sQ76_spl
| ~ sQ40_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f709,f5428]) ).
fof(f5491,plain,
( ~ sQ19_spl
| sQ76_spl
| ~ sQ40_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f5490]) ).
fof(f5494,plain,
( sQ82_spl
| ~ sQ3_spl
| ~ sQ61_spl
| e2 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f846,f3639]) ).
fof(f5513,plain,
( sQ70_spl
| ~ sQ23_spl
| ~ sQ61_spl
| e2 != op(e1,op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f846,f4143]) ).
fof(f5571,plain,
( sQ80_spl
| ~ sQ61_spl
| e2 != op(op(e1,op(e3,e3)),op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f846,f956]) ).
fof(f5572,plain,
( sQ80_spl
| ~ sQ61_spl
| e2 != op(op(e1,e1),op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f846,f5571]) ).
fof(f5573,plain,
( sQ80_spl
| ~ sQ61_spl
| e2 != op(op(e1,e1),e1) ),
inference(forward_demodulation,[status(thm)],[f846,f5572]) ).
fof(f5686,plain,
( sQ80_spl
| ~ sQ61_spl
| ~ sQ23_spl
| e2 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f722,f5059]) ).
fof(f5742,plain,
( sQ85_spl
| ~ sQ3_spl
| e2 != op(e3,op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f657,f973]) ).
fof(f5743,plain,
( sQ85_spl
| ~ sQ3_spl
| e2 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f657,f5742]) ).
fof(f5760,plain,
( sQ70_spl
| ~ sQ23_spl
| ~ sQ61_spl
| e2 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f722,f5513]) ).
fof(f5762,plain,
( sQ75_spl
| ~ sQ41_spl
| e3 != op(e1,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f781,f938]) ).
fof(f5763,plain,
( sQ75_spl
| ~ sQ41_spl
| e3 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f781,f5762]) ).
fof(f5764,plain,
( sQ75_spl
| ~ sQ41_spl
| ~ sQ23_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f722,f5763]) ).
fof(f5765,plain,
( sQ75_spl
| ~ sQ41_spl
| ~ sQ23_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5764]) ).
fof(f5766,plain,
( sQ75_spl
| ~ sQ41_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f5765]) ).
fof(f5769,plain,
( sQ86_spl
| ~ sQ41_spl
| e0 != op(op(e1,op(e2,e2)),op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f781,f977]) ).
fof(f5770,plain,
( sQ86_spl
| ~ sQ41_spl
| e0 != op(op(e1,e1),op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f781,f5769]) ).
fof(f5771,plain,
( sQ86_spl
| ~ sQ41_spl
| ~ sQ23_spl
| e0 != op(e3,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f722,f5770]) ).
fof(f5772,plain,
( sQ86_spl
| ~ sQ41_spl
| ~ sQ23_spl
| e0 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f781,f5771]) ).
fof(f5773,plain,
( sQ86_spl
| ~ sQ41_spl
| ~ sQ23_spl
| ~ sQ52_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f817,f5772]) ).
fof(f5774,plain,
( sQ86_spl
| ~ sQ41_spl
| ~ sQ23_spl
| ~ sQ52_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5773]) ).
fof(f5775,plain,
( sQ86_spl
| ~ sQ41_spl
| ~ sQ23_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f5774]) ).
fof(f5792,plain,
( sQ70_spl
| ~ sQ23_spl
| ~ sQ61_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f5760,f744,f845,f721,f919]) ).
fof(f5797,plain,
( sQ82_spl
| ~ sQ3_spl
| ~ sQ61_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f5494,f744,f845,f656,f961]) ).
fof(f5800,plain,
( sQ80_spl
| ~ sQ61_spl
| ~ sQ23_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f5686,f822,f721,f845,f954]) ).
fof(f5833,plain,
( ~ sQ80_spl
| ~ sQ61_spl
| e2 = op(op(e1,op(e3,e3)),op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f846,f955]) ).
fof(f5834,plain,
( ~ sQ80_spl
| ~ sQ61_spl
| e2 = op(op(e1,e1),op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f846,f5833]) ).
fof(f5835,plain,
( ~ sQ80_spl
| ~ sQ61_spl
| ~ sQ23_spl
| e2 = op(e3,op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f722,f5834]) ).
fof(f5836,plain,
( ~ sQ80_spl
| ~ sQ61_spl
| ~ sQ23_spl
| e2 = op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f846,f5835]) ).
fof(f5837,plain,
( sQ91_spl
| ~ sQ3_spl
| e1 != op(e3,op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f657,f997]) ).
fof(f5838,plain,
( sQ91_spl
| ~ sQ3_spl
| e1 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f657,f5837]) ).
fof(f5839,plain,
( sQ91_spl
| ~ sQ3_spl
| ~ sQ61_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f846,f5838]) ).
fof(f5840,plain,
( sQ91_spl
| ~ sQ3_spl
| ~ sQ61_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5839]) ).
fof(f5841,plain,
( sQ91_spl
| ~ sQ3_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f5840]) ).
fof(f6102,plain,
( sQ72_spl
| ~ sQ20_spl
| e3 != op(op(e0,op(e1,e1)),op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f713,f928]) ).
fof(f6103,plain,
( sQ72_spl
| ~ sQ20_spl
| e3 != op(op(e0,e0),op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f713,f6102]) ).
fof(f6104,plain,
( sQ72_spl
| ~ sQ20_spl
| ~ sQ73_spl
| e3 != op(e2,op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f4724,f6103]) ).
fof(f6105,plain,
( sQ72_spl
| ~ sQ20_spl
| ~ sQ73_spl
| e3 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f713,f6104]) ).
fof(f6106,plain,
( sQ72_spl
| ~ sQ20_spl
| ~ sQ73_spl
| ~ sQ76_spl
| ~ sQ40_spl
| ~ sQ2_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f5267,f6105]) ).
fof(f6107,plain,
( sQ72_spl
| ~ sQ20_spl
| ~ sQ73_spl
| ~ sQ76_spl
| ~ sQ40_spl
| ~ sQ2_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6106]) ).
fof(f6108,plain,
( sQ72_spl
| ~ sQ20_spl
| ~ sQ73_spl
| ~ sQ76_spl
| ~ sQ40_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f6107]) ).
fof(f6109,plain,
( sQ85_spl
| ~ sQ3_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f5743,f848,f656,f971]) ).
fof(f6144,plain,
( sQ71_spl
| ~ sQ22_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f3384,f786,f718,f922]) ).
fof(f6147,plain,
( sQ74_spl
| ~ sQ43_spl
| ~ sQ62_spl
| e1 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f849,f4970]) ).
fof(f6148,plain,
( sQ74_spl
| ~ sQ43_spl
| ~ sQ62_spl
| ~ sQ45_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f794,f6147]) ).
fof(f6149,plain,
( sQ74_spl
| ~ sQ43_spl
| ~ sQ62_spl
| ~ sQ45_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6148]) ).
fof(f6150,plain,
( sQ74_spl
| ~ sQ43_spl
| ~ sQ62_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f6149]) ).
fof(f6157,plain,
( sQ78_spl
| ~ sQ62_spl
| ~ sQ43_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f2791,f832,f786,f848,f947]) ).
fof(f6248,plain,
( sQ92_spl
| ~ sQ22_spl
| ~ sQ43_spl
| e0 != op(e3,op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f787,f3256]) ).
fof(f6249,plain,
( sQ92_spl
| ~ sQ22_spl
| ~ sQ43_spl
| e0 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f719,f6248]) ).
fof(f6251,plain,
( sQ86_spl
| ~ sQ43_spl
| e0 != op(op(e3,op(e2,e2)),op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f787,f977]) ).
fof(f6252,plain,
( sQ86_spl
| ~ sQ43_spl
| e0 != op(op(e3,e3),op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f787,f6251]) ).
fof(f6268,plain,
( sQ90_spl
| ~ sQ3_spl
| e1 != op(op(e3,op(e0,e0)),op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f657,f993]) ).
fof(f6269,plain,
( sQ90_spl
| ~ sQ3_spl
| e1 != op(op(e3,e3),op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f657,f6268]) ).
fof(f6270,plain,
( sQ90_spl
| ~ sQ3_spl
| ~ sQ62_spl
| e1 != op(e2,op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f849,f6269]) ).
fof(f6271,plain,
( sQ90_spl
| ~ sQ3_spl
| ~ sQ62_spl
| e1 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f657,f6270]) ).
fof(f6272,plain,
( sQ90_spl
| ~ sQ3_spl
| ~ sQ62_spl
| ~ sQ45_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f794,f6271]) ).
fof(f6273,plain,
( sQ90_spl
| ~ sQ3_spl
| ~ sQ62_spl
| ~ sQ45_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6272]) ).
fof(f6274,plain,
( sQ90_spl
| ~ sQ3_spl
| ~ sQ62_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f6273]) ).
fof(f6282,plain,
( ~ sQ76_spl
| ~ sQ41_spl
| ~ sQ22_spl
| e3 = op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f719,f4470]) ).
fof(f6283,plain,
( sQ84_spl
| ~ sQ2_spl
| ~ sQ41_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f4322,f734,f780,f653,f968]) ).
fof(f6311,plain,
( ~ sQ43_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f2770,f799,f786]) ).
fof(f6313,plain,
( ~ sQ23_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f2252,f669,f721]) ).
fof(f6314,plain,
( sQ73_spl
| ~ sQ23_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f4031,f848,f721,f929]) ).
fof(f6318,plain,
( sQ85_spl
| ~ sQ1_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f5046,f718,f650,f971]) ).
fof(f6320,plain,
( ~ sQ22_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f5126,f705,f718]) ).
fof(f6321,plain,
( ~ sQ45_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f3285,f741,f793]) ).
fof(f6324,plain,
( ~ sQ53_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f4543,f832,f819]) ).
fof(f6335,plain,
( ~ sQ10_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f3818,f783,f679]) ).
fof(f6336,plain,
( sQ70_spl
| ~ sQ20_spl
| ~ sQ3_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f4816,f809,f656,f712,f919]) ).
fof(f6552,plain,
( sQ88_spl
| ~ sQ62_spl
| ~ sQ43_spl
| e0 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f787,f4265]) ).
fof(f6557,plain,
( sQ86_spl
| ~ sQ43_spl
| ~ sQ62_spl
| e0 != op(e2,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f849,f6252]) ).
fof(f6558,plain,
( sQ86_spl
| ~ sQ43_spl
| ~ sQ62_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f787,f6557]) ).
fof(f6560,plain,
( sQ90_spl
| ~ sQ2_spl
| ~ sQ43_spl
| e1 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f787,f1737]) ).
fof(f6561,plain,
( sQ90_spl
| ~ sQ2_spl
| ~ sQ43_spl
| ~ sQ57_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f833,f6560]) ).
fof(f6562,plain,
( sQ90_spl
| ~ sQ2_spl
| ~ sQ43_spl
| ~ sQ57_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6561]) ).
fof(f6563,plain,
( sQ90_spl
| ~ sQ2_spl
| ~ sQ43_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f6562]) ).
fof(f6572,plain,
( ~ sQ14_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f3960,f744,f692]) ).
fof(f6580,plain,
( ~ sQ50_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f3708,f822,f809]) ).
fof(f6589,plain,
( sQ86_spl
| ~ sQ43_spl
| ~ sQ62_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f6558,f790,f848,f786,f975]) ).
fof(f6590,plain,
( sQ88_spl
| ~ sQ62_spl
| ~ sQ43_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f6552,f829,f786,f848,f983]) ).
fof(f6610,plain,
( sQ84_spl
| ~ sQ1_spl
| e3 != op(op(op(e0,e0),op(e0,e0)),e1) ),
inference(backward_demodulation,[status(thm)],[f651,f970]) ).
fof(f6611,plain,
( sQ84_spl
| ~ sQ1_spl
| e3 != op(op(e1,op(e0,e0)),e1) ),
inference(forward_demodulation,[status(thm)],[f651,f6610]) ).
fof(f6612,plain,
( sQ84_spl
| ~ sQ1_spl
| e3 != op(op(e1,e1),e1) ),
inference(forward_demodulation,[status(thm)],[f651,f6611]) ).
fof(f6826,plain,
( sQ83_spl
| ~ sQ1_spl
| e3 != op(e1,op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f651,f966]) ).
fof(f6827,plain,
( sQ83_spl
| ~ sQ1_spl
| e3 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f651,f6826]) ).
fof(f6871,plain,
( sQ84_spl
| ~ sQ1_spl
| ~ sQ22_spl
| e3 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f719,f6612]) ).
fof(f6872,plain,
( sQ84_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ76_spl
| ~ sQ41_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f6282,f6871]) ).
fof(f6873,plain,
( sQ84_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ76_spl
| ~ sQ41_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6872]) ).
fof(f6874,plain,
( sQ84_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ76_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f6873]) ).
fof(f6892,plain,
( sQ92_spl
| ~ sQ22_spl
| ~ sQ43_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f6249,f829,f786,f718,f999]) ).
fof(f7075,plain,
( sQ80_spl
| ~ sQ61_spl
| ~ sQ20_spl
| e2 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f713,f5573]) ).
fof(f7122,plain,
( ~ sQ6_spl
| sQ80_spl
| ~ sQ61_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f667,f7075]) ).
fof(f7123,plain,
( ~ sQ6_spl
| sQ80_spl
| ~ sQ61_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f7122]) ).
fof(f7130,plain,
( sQ89_spl
| ~ sQ61_spl
| e0 != op(e1,op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f846,f989]) ).
fof(f7131,plain,
( sQ89_spl
| ~ sQ61_spl
| e0 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f846,f7130]) ).
fof(f7132,plain,
( sQ89_spl
| ~ sQ61_spl
| ~ sQ20_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f713,f7131]) ).
fof(f7133,plain,
( sQ89_spl
| ~ sQ61_spl
| ~ sQ20_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7132]) ).
fof(f7134,plain,
( sQ89_spl
| ~ sQ61_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f7133]) ).
fof(f7150,plain,
( sQ83_spl
| ~ sQ1_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f6827,f721,f650,f964]) ).
fof(f7198,plain,
( sQ82_spl
| ~ sQ1_spl
| e2 != op(op(e1,op(e0,e0)),op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f651,f963]) ).
fof(f7199,plain,
( sQ82_spl
| ~ sQ1_spl
| e2 != op(op(e1,e1),op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f651,f7198]) ).
fof(f7200,plain,
( sQ82_spl
| ~ sQ1_spl
| e2 != op(op(e1,e1),e1) ),
inference(forward_demodulation,[status(thm)],[f651,f7199]) ).
fof(f7393,plain,
( sQ82_spl
| ~ sQ1_spl
| ~ sQ23_spl
| e2 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f722,f7200]) ).
fof(f7394,plain,
( sQ82_spl
| ~ sQ1_spl
| ~ sQ23_spl
| ~ sQ80_spl
| ~ sQ61_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f5836,f7393]) ).
fof(f7395,plain,
( sQ82_spl
| ~ sQ1_spl
| ~ sQ23_spl
| ~ sQ80_spl
| ~ sQ61_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7394]) ).
fof(f7396,plain,
( sQ82_spl
| ~ sQ1_spl
| ~ sQ23_spl
| ~ sQ80_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f7395]) ).
fof(f7529,plain,
( sQ92_spl
| ~ sQ23_spl
| e0 != op(op(e3,op(e1,e1)),op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f722,f1001]) ).
fof(f7530,plain,
( sQ92_spl
| ~ sQ23_spl
| e0 != op(op(e3,e3),op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f722,f7529]) ).
fof(f7531,plain,
( sQ92_spl
| ~ sQ23_spl
| e0 != op(op(e3,e3),e3) ),
inference(forward_demodulation,[status(thm)],[f722,f7530]) ).
fof(f7535,plain,
( sQ92_spl
| ~ sQ23_spl
| ~ sQ62_spl
| e0 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f849,f7531]) ).
fof(f7537,plain,
( sQ92_spl
| ~ sQ23_spl
| ~ sQ62_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f7535,f790,f848,f721,f999]) ).
fof(f7539,plain,
$false,
inference(sat_refutation,[status(thm)],[f659,f672,f685,f698,f711,f724,f737,f750,f763,f776,f789,f802,f815,f828,f841,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f876,f877,f878,f879,f880,f881,f882,f883,f884,f885,f886,f893,f897,f901,f905,f906,f907,f908,f913,f915,f916,f917,f918,f925,f932,f939,f946,f953,f960,f967,f974,f978,f982,f986,f990,f994,f998,f1002,f1006,f1007,f1008,f1009,f1010,f1011,f1012,f1013,f1014,f1021,f1025,f1029,f1033,f1037,f1041,f1043,f1044,f1052,f1053,f1057,f1061,f1062,f1064,f1075,f1079,f1083,f1087,f1091,f1095,f1096,f1097,f1098,f1103,f1104,f1105,f1106,f1107,f1112,f1113,f1117,f1121,f1122,f1124,f1129,f1130,f1131,f1132,f1133,f1134,f1138,f1142,f1146,f1150,f1154,f1158,f1159,f1160,f1165,f1166,f1167,f1169,f1170,f1174,f1175,f1179,f1183,f1184,f1185,f1186,f1191,f1192,f1193,f1194,f1195,f1198,f1199,f1200,f1201,f1202,f1206,f1207,f1211,f1215,f1217,f1218,f1223,f1224,f1226,f1227,f1228,f1232,f1241,f1242,f1243,f1244,f1249,f1250,f1251,f1252,f1253,f1254,f1258,f1259,f1263,f1267,f1269,f1270,f1274,f1275,f1276,f1277,f1278,f1279,f1280,f1284,f1285,f1289,f1293,f1294,f1295,f1296,f1299,f1300,f1301,f1302,f1303,f1304,f1305,f1310,f1311,f1315,f1320,f1321,f1322,f1323,f1325,f1327,f1328,f1330,f1331,f1332,f1336,f1337,f1341,f1346,f1347,f1348,f1349,f1350,f1353,f1354,f1355,f1356,f1357,f1358,f1362,f1371,f1373,f1374,f1379,f1380,f1381,f1382,f1383,f1384,f1388,f1389,f1393,f1397,f1398,f1399,f1400,f1402,f1403,f1405,f1406,f1407,f1408,f1409,f1414,f1415,f1423,f1424,f1425,f1426,f1427,f1429,f1431,f1432,f1434,f1435,f1436,f1440,f1441,f1449,f1450,f1451,f1452,f1453,f1454,f1457,f1458,f1459,f1460,f1461,f1462,f1466,f1467,f1471,f1475,f1476,f1477,f1478,f1481,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1494,f1498,f1499,f1500,f1505,f1506,f1507,f1508,f1509,f1511,f1512,f1514,f1515,f1516,f1528,f1532,f1534,f1537,f1540,f1543,f1551,f1554,f1558,f1564,f1565,f1567,f1571,f1575,f1579,f1584,f1589,f1603,f1606,f1610,f1617,f1618,f1619,f1623,f1624,f1627,f1628,f1629,f1630,f1631,f1632,f1633,f1642,f1643,f1644,f1646,f1647,f1648,f1649,f1650,f1651,f1652,f1653,f1657,f1663,f1664,f1665,f1667,f1671,f1674,f1689,f1710,f1711,f1714,f1715,f1716,f1720,f1744,f1745,f1748,f1749,f1752,f1753,f1754,f1755,f1756,f1758,f1761,f1776,f1779,f1780,f1784,f1785,f1786,f1787,f1788,f1789,f1809,f1813,f1818,f1820,f1825,f1826,f1831,f1832,f1837,f1850,f1851,f1852,f1853,f1879,f1887,f1889,f1893,f1895,f1897,f1898,f1899,f1902,f1903,f1907,f1910,f1911,f1914,f1915,f1916,f1917,f1918,f1925,f1926,f1927,f1928,f1929,f1937,f1938,f1939,f1959,f1962,f1963,f1973,f1974,f2011,f2016,f2019,f2021,f2022,f2024,f2025,f2026,f2027,f2028,f2029,f2036,f2037,f2042,f2043,f2044,f2045,f2080,f2136,f2145,f2148,f2151,f2159,f2160,f2187,f2189,f2190,f2194,f2195,f2197,f2220,f2223,f2226,f2227,f2228,f2229,f2230,f2231,f2232,f2282,f2286,f2289,f2376,f2387,f2388,f2391,f2392,f2393,f2394,f2395,f2396,f2398,f2399,f2563,f2579,f2580,f2582,f2583,f2584,f2585,f2646,f2649,f2654,f2715,f2723,f2822,f2836,f2846,f3013,f3024,f3131,f3140,f3147,f3154,f3156,f3159,f3161,f3163,f3169,f3173,f3174,f3178,f3179,f3263,f3336,f3519,f3520,f3534,f3738,f3755,f3840,f3856,f3859,f3860,f3908,f4096,f4124,f4130,f4131,f4136,f4160,f4161,f4162,f4163,f4164,f4167,f4168,f4269,f4278,f4279,f4361,f4366,f4367,f4374,f4426,f4430,f4431,f4440,f4506,f4507,f4509,f4517,f4519,f4520,f4521,f4734,f4743,f4960,f4969,f5057,f5064,f5073,f5083,f5099,f5263,f5357,f5426,f5491,f5766,f5775,f5792,f5797,f5800,f5841,f6108,f6109,f6144,f6150,f6157,f6274,f6283,f6311,f6313,f6314,f6318,f6320,f6321,f6324,f6335,f6336,f6563,f6572,f6580,f6589,f6590,f6874,f6892,f7123,f7134,f7150,f7396,f7537]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG151+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/10.37 % Computer : n005.cluster.edu
% 0.11/10.37 % Model : x86_64 x86_64
% 0.11/10.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.37 % Memory : 8046.5625MB
% 0.11/10.37 % OS : Linux 6.8.0-71-generic
% 0.11/10.37 % CPULimit : 300
% 0.11/10.37 % WCLimit : 300
% 0.11/10.37 % DateTime : Mon Sep 21 12:58:59 UTC 2026
% 0.11/10.38 % CPUTime :
% 0.11/10.39 % Drodi V4.1.1
% 0.15/10.79 % Refutation found
% 0.15/10.79 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/10.79 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/10.82 % Elapsed time: 0.434062 seconds
% 0.15/10.82 % CPU time: 3.150323 seconds
% 0.15/10.82 % Total memory used: 52.478 MB
% 0.15/10.82 % Net memory used: 51.706 MB
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