%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG158+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 : n014.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 11:48:41 AM UTC 2026
% Result : Unsatisfiable 1.17s 0.69s
% Output : CNFRefutation 1.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 222
% Syntax : Number of formulae : 1618 ( 55 unt; 203 def)
% Number of atoms : 7038 (3872 equ)
% Maximal formula atoms : 208 ( 4 avg)
% Number of connectives : 8695 (3275 ~;3661 |;1513 &)
% ( 246 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 205 ( 203 usr; 204 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(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,e3) = e3
& op(e3,e3) = e3 )
| ( ( 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(e2,e3) = e3
& op(e3,e2) = e3 )
| ( ( 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(e1,e3) = e3
& op(e3,e1) = e3 )
| ( ( 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(e0,e3) = e3
& op(e3,e0) = e3 )
| ( ( 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(e3,e2) = e2
& op(e2,e3) = e2 )
| ( ( 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,e2) = e2
& op(e2,e2) = e2 )
| ( ( 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(e1,e2) = e2
& op(e2,e1) = e2 )
| ( ( 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(e0,e2) = e2
& op(e2,e0) = e2 )
| ( ( 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(e3,e1) = e1
& op(e1,e3) = e1 )
| ( ( 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(e2,e1) = e1
& op(e1,e2) = e1 )
| ( ( 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,e1) = e1
& op(e1,e1) = e1 )
| ( ( 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(e0,e1) = e1
& op(e1,e0) = e1 )
| ( ( 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(e3,e0) = e0
& op(e0,e3) = 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(e2,e0) = e0
& op(e0,e2) = 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(e1,e0) = e0
& op(e0,e1) = 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,e0) = e0
& op(e0,e0) = e0 ) )
& ( ( op(e3,e3) = e3
& op(e3,e3) != e3
& op(e3,e3) = e3 )
| ( op(e2,e3) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e1,e3) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e0,e3) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e3,e2) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,e2) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
~ ( e3 = op(e1,e1)
& e2 = op(e1,op(e1,e1))
& e0 = op(op(e1,op(e1,e1)),op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
~ ( e2 = op(e3,e3)
& e1 = op(e3,op(e3,e3))
& e0 = op(op(e3,op(e3,e3)),op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
~ ( e3 = op(e0,e0)
& e2 = op(e0,op(e0,e0))
& e1 = op(op(e0,op(e0,e0)),op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
~ ( e2 = op(e0,e0)
& e3 = op(e0,op(e0,e0))
& e1 = op(op(e0,op(e0,e0)),op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
~ ( e2 = op(e3,e3)
& e0 = op(e3,op(e3,e3))
& e1 = op(op(e3,op(e3,e3)),op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
~ ( e0 = op(e3,e3)
& e2 = op(e3,op(e3,e3))
& e1 = op(op(e3,op(e3,e3)),op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
~ ( e3 = op(e0,e0)
& e1 = op(e0,op(e0,e0))
& e2 = op(op(e0,op(e0,e0)),op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
~ ( e3 = op(e1,e1)
& e0 = op(e1,op(e1,e1))
& e2 = op(op(e1,op(e1,e1)),op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
~ ( e1 = op(e3,e3)
& e0 = op(e3,op(e3,e3))
& e2 = op(op(e3,op(e3,e3)),op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
~ ( e0 = op(e3,e3)
& e1 = op(e3,op(e3,e3))
& e2 = op(op(e3,op(e3,e3)),op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
~ ( e2 = op(e0,e0)
& e1 = op(e0,op(e0,e0))
& e3 = op(op(e0,op(e0,e0)),op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
~ ( e1 = op(e0,e0)
& e2 = op(e0,op(e0,e0))
& e3 = op(op(e0,op(e0,e0)),op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
~ ( e2 = op(e1,e1)
& e0 = op(e1,op(e1,e1))
& e3 = op(op(e1,op(e1,e1)),op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
~ ( e1 = op(e2,e2)
& e0 = op(e2,op(e2,e2))
& e3 = op(op(e2,op(e2,e2)),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(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(e2,e3) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e1,e3) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e0,e3) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e3,e2) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,e2) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f133,definition,
( 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(e2,e3) = e3
& op(e3,e2) = e3 )
| ( ( 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(e1,e3) = e3
& op(e3,e1) = e3 )
| ( ( 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(e0,e3) = e3
& op(e3,e0) = e3 )
| ( ( 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(e3,e2) = e2
& op(e2,e3) = e2 )
| ( ( 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,e2) = e2
& op(e2,e2) = e2 )
| ( ( 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(e1,e2) = e2
& op(e2,e1) = e2 )
| ( ( 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(e0,e2) = e2
& op(e2,e0) = e2 )
| ( ( 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(e3,e1) = e1
& op(e1,e3) = e1 )
| ( ( 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(e2,e1) = e1
& op(e1,e2) = e1 )
| ( ( 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,e1) = e1
& op(e1,e1) = e1 )
| ( ( 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(e0,e1) = e1
& op(e1,e0) = e1 )
| ( ( 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(e3,e0) = e0
& op(e0,e3) = 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(e2,e0) = e0
& op(e0,e2) = 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(e1,e0) = e0
& op(e0,e1) = 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,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(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,e3) = e3
& op(e3,e3) = e3 )
| sP1_prd )
& ( ( op(e3,e3) = e3
& op(e3,e3) != e3
& op(e3,e3) = e3 )
| sP0_prd ) ),
inference(formula_renaming,[status(thm)],[f5,f133,f132]) ).
fof(f135,plain,
( op(e3,e3) = e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f136,plain,
( op(e3,e3) != e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f138,plain,
( op(e3,e3) = e3
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f140,plain,
( op(e0,e3) = e0
| op(e0,e0) != e3
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f141,plain,
( op(e1,e3) = e1
| op(e1,e1) != e3
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f142,plain,
( op(e2,e3) = e2
| op(e2,e2) != e3
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f144,plain,
( e3 != op(e1,e1)
| e2 != op(e1,op(e1,e1))
| e0 != op(op(e1,op(e1,e1)),op(e1,e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f145,plain,
( e3 != op(e1,e1)
| e2 != op(e1,op(e1,e1))
| e0 != op(op(e1,op(e1,e1)),op(e1,e1)) ),
inference(cnf_transformation,[status(thm)],[f144]) ).
fof(f152,plain,
( e2 != op(e3,e3)
| e1 != op(e3,op(e3,e3))
| e0 != op(op(e3,op(e3,e3)),op(e3,e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f153,plain,
( e2 != op(e3,e3)
| e1 != op(e3,op(e3,e3))
| e0 != op(op(e3,op(e3,e3)),op(e3,e3)) ),
inference(cnf_transformation,[status(thm)],[f152]) ).
fof(f156,plain,
( e3 != op(e0,e0)
| e2 != op(e0,op(e0,e0))
| e1 != op(op(e0,op(e0,e0)),op(e0,e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f157,plain,
( e3 != op(e0,e0)
| e2 != op(e0,op(e0,e0))
| e1 != op(op(e0,op(e0,e0)),op(e0,e0)) ),
inference(cnf_transformation,[status(thm)],[f156]) ).
fof(f158,plain,
( e2 != op(e0,e0)
| e3 != op(e0,op(e0,e0))
| e1 != op(op(e0,op(e0,e0)),op(e0,e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f159,plain,
( e2 != op(e0,e0)
| e3 != op(e0,op(e0,e0))
| e1 != op(op(e0,op(e0,e0)),op(e0,e0)) ),
inference(cnf_transformation,[status(thm)],[f158]) ).
fof(f164,plain,
( e2 != op(e3,e3)
| e0 != op(e3,op(e3,e3))
| e1 != op(op(e3,op(e3,e3)),op(e3,e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f16]) ).
fof(f165,plain,
( e2 != op(e3,e3)
| e0 != op(e3,op(e3,e3))
| e1 != op(op(e3,op(e3,e3)),op(e3,e3)) ),
inference(cnf_transformation,[status(thm)],[f164]) ).
fof(f166,plain,
( e0 != op(e3,e3)
| e2 != op(e3,op(e3,e3))
| e1 != op(op(e3,op(e3,e3)),op(e3,e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f17]) ).
fof(f167,plain,
( e0 != op(e3,e3)
| e2 != op(e3,op(e3,e3))
| e1 != op(op(e3,op(e3,e3)),op(e3,e3)) ),
inference(cnf_transformation,[status(thm)],[f166]) ).
fof(f168,plain,
( e3 != op(e0,e0)
| e1 != op(e0,op(e0,e0))
| e2 != op(op(e0,op(e0,e0)),op(e0,e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f169,plain,
( e3 != op(e0,e0)
| e1 != op(e0,op(e0,e0))
| e2 != op(op(e0,op(e0,e0)),op(e0,e0)) ),
inference(cnf_transformation,[status(thm)],[f168]) ).
fof(f172,plain,
( e3 != op(e1,e1)
| e0 != op(e1,op(e1,e1))
| e2 != op(op(e1,op(e1,e1)),op(e1,e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f20]) ).
fof(f173,plain,
( e3 != op(e1,e1)
| e0 != op(e1,op(e1,e1))
| e2 != op(op(e1,op(e1,e1)),op(e1,e1)) ),
inference(cnf_transformation,[status(thm)],[f172]) ).
fof(f176,plain,
( e1 != op(e3,e3)
| e0 != op(e3,op(e3,e3))
| e2 != op(op(e3,op(e3,e3)),op(e3,e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f22]) ).
fof(f177,plain,
( e1 != op(e3,e3)
| e0 != op(e3,op(e3,e3))
| e2 != op(op(e3,op(e3,e3)),op(e3,e3)) ),
inference(cnf_transformation,[status(thm)],[f176]) ).
fof(f178,plain,
( e0 != op(e3,e3)
| e1 != op(e3,op(e3,e3))
| e2 != op(op(e3,op(e3,e3)),op(e3,e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f23]) ).
fof(f179,plain,
( e0 != op(e3,e3)
| e1 != op(e3,op(e3,e3))
| e2 != op(op(e3,op(e3,e3)),op(e3,e3)) ),
inference(cnf_transformation,[status(thm)],[f178]) ).
fof(f180,plain,
( e2 != op(e0,e0)
| e1 != op(e0,op(e0,e0))
| e3 != op(op(e0,op(e0,e0)),op(e0,e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f24]) ).
fof(f181,plain,
( e2 != op(e0,e0)
| e1 != op(e0,op(e0,e0))
| e3 != op(op(e0,op(e0,e0)),op(e0,e0)) ),
inference(cnf_transformation,[status(thm)],[f180]) ).
fof(f182,plain,
( e1 != op(e0,e0)
| e2 != op(e0,op(e0,e0))
| e3 != op(op(e0,op(e0,e0)),op(e0,e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f25]) ).
fof(f183,plain,
( e1 != op(e0,e0)
| e2 != op(e0,op(e0,e0))
| e3 != op(op(e0,op(e0,e0)),op(e0,e0)) ),
inference(cnf_transformation,[status(thm)],[f182]) ).
fof(f184,plain,
( e2 != op(e1,e1)
| e0 != op(e1,op(e1,e1))
| e3 != op(op(e1,op(e1,e1)),op(e1,e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f26]) ).
fof(f185,plain,
( e2 != op(e1,e1)
| e0 != op(e1,op(e1,e1))
| e3 != op(op(e1,op(e1,e1)),op(e1,e1)) ),
inference(cnf_transformation,[status(thm)],[f184]) ).
fof(f188,plain,
( e1 != op(e2,e2)
| e0 != op(e2,op(e2,e2))
| e3 != op(op(e2,op(e2,e2)),op(e2,e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f28]) ).
fof(f189,plain,
( e1 != op(e2,e2)
| e0 != op(e2,op(e2,e2))
| e3 != op(op(e2,op(e2,e2)),op(e2,e2)) ),
inference(cnf_transformation,[status(thm)],[f188]) ).
fof(f192,definition,
( sP2_prd
<=> ( ( op(e1,e3) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e0,e3) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e3,e2) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,e2) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f193,plain,
( sP0_prd
<=> ( ( op(e2,e3) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| sP2_prd ) ),
inference(formula_renaming,[status(thm)],[f132,f192]) ).
fof(f194,plain,
( ( ( ( op(e2,e3) != e2
| op(e3,e3) = e2
| op(e3,e2) != e3 )
& ~ sP2_prd )
| sP0_prd )
& ( ( op(e2,e3) = e2
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| sP2_prd
| ~ sP0_prd ) ),
inference(NNF_transformation,[status(thm)],[f193]) ).
fof(f195,plain,
( op(e3,e2) = e3
| sP2_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f196,plain,
( op(e3,e3) != e2
| sP2_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f197,plain,
( op(e2,e3) = e2
| sP2_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f198,plain,
( ~ sP2_prd
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f199,plain,
( op(e2,e3) != e2
| op(e3,e3) = e2
| op(e3,e2) != e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f200,definition,
( sP3_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(e1,e3) = e3
& op(e3,e1) = e3 )
| ( ( 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(e0,e3) = e3
& op(e3,e0) = e3 )
| ( ( 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(e3,e2) = e2
& op(e2,e3) = e2 )
| ( ( 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,e2) = e2
& op(e2,e2) = e2 )
| ( ( 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(e1,e2) = e2
& op(e2,e1) = e2 )
| ( ( 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(e0,e2) = e2
& op(e2,e0) = e2 )
| ( ( 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(e3,e1) = e1
& op(e1,e3) = e1 )
| ( ( 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(e2,e1) = e1
& op(e1,e2) = e1 )
| ( ( 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,e1) = e1
& op(e1,e1) = e1 )
| ( ( 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(e0,e1) = e1
& op(e1,e0) = e1 )
| ( ( 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(e3,e0) = e0
& op(e0,e3) = 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(e2,e0) = e0
& op(e0,e2) = 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(e1,e0) = e0
& op(e0,e1) = 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,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f201,plain,
( 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(e2,e3) = e3
& op(e3,e2) = e3 )
| sP3_prd ) ),
inference(formula_renaming,[status(thm)],[f133,f200]) ).
fof(f202,definition,
( sP4_prd
<=> ( op(e0,e3) = e0
| op(e0,e0) != e3 ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f203,definition,
( sP5_prd
<=> ( op(e1,e3) = e1
| op(e1,e1) != e3 ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f204,plain,
( sP1_prd
<=> ( ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& sP5_prd
& sP4_prd
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| sP3_prd ) ),
inference(formula_renaming,[status(thm)],[f201,f203,f202]) ).
fof(f205,plain,
( ( ( ( ( op(e3,e3) != e3
& op(e3,e3) = e3 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3 )
| ~ sP5_prd
| ~ sP4_prd
| op(e2,e3) != e3
| op(e3,e2) != e3 )
& ~ sP3_prd )
| sP1_prd )
& ( ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& sP5_prd
& sP4_prd
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| sP3_prd
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f204]) ).
fof(f206,plain,
( op(e3,e2) = e3
| sP3_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f205]) ).
fof(f207,plain,
( op(e2,e3) = e3
| sP3_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f205]) ).
fof(f208,plain,
( sP4_prd
| sP3_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f205]) ).
fof(f209,plain,
( sP5_prd
| sP3_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f205]) ).
fof(f210,plain,
( op(e2,e3) = e2
| op(e2,e2) != e3
| sP3_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f205]) ).
fof(f212,plain,
( ~ sP3_prd
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f205]) ).
fof(f217,definition,
( sP6_prd
<=> ( ( op(e0,e3) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e3,e2) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,e2) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f218,plain,
( sP2_prd
<=> ( ( op(e1,e3) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| sP6_prd ) ),
inference(formula_renaming,[status(thm)],[f192,f217]) ).
fof(f219,plain,
( ( ( ( op(e1,e3) != e1
| op(e3,e3) = e1
| op(e3,e1) != e3 )
& ~ sP6_prd )
| sP2_prd )
& ( ( op(e1,e3) = e1
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| sP6_prd
| ~ sP2_prd ) ),
inference(NNF_transformation,[status(thm)],[f218]) ).
fof(f220,plain,
( op(e3,e1) = e3
| sP6_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f219]) ).
fof(f221,plain,
( op(e3,e3) != e1
| sP6_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f219]) ).
fof(f222,plain,
( op(e1,e3) = e1
| sP6_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f219]) ).
fof(f223,plain,
( ~ sP6_prd
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f219]) ).
fof(f225,definition,
( sP7_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(e0,e3) = e3
& op(e3,e0) = e3 )
| ( ( 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(e3,e2) = e2
& op(e2,e3) = e2 )
| ( ( 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,e2) = e2
& op(e2,e2) = e2 )
| ( ( 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(e1,e2) = e2
& op(e2,e1) = e2 )
| ( ( 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(e0,e2) = e2
& op(e2,e0) = e2 )
| ( ( 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(e3,e1) = e1
& op(e1,e3) = e1 )
| ( ( 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(e2,e1) = e1
& op(e1,e2) = e1 )
| ( ( 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,e1) = e1
& op(e1,e1) = e1 )
| ( ( 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(e0,e1) = e1
& op(e1,e0) = e1 )
| ( ( 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(e3,e0) = e0
& op(e0,e3) = 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(e2,e0) = e0
& op(e0,e2) = 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(e1,e0) = e0
& op(e0,e1) = 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,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).
fof(f226,plain,
( sP3_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(e1,e3) = e3
& op(e3,e1) = e3 )
| sP7_prd ) ),
inference(formula_renaming,[status(thm)],[f200,f225]) ).
fof(f227,definition,
( sP8_prd
<=> ( op(e0,e3) = e0
| op(e0,e0) != e3 ) ),
introduced(definition,[new_symbols(definition,[sP8_prd])],[]) ).
fof(f228,definition,
( sP9_prd
<=> ( op(e1,e3) = e1
| op(e1,e1) != e3 ) ),
introduced(definition,[new_symbols(definition,[sP9_prd])],[]) ).
fof(f229,plain,
( sP3_prd
<=> ( ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& sP9_prd
& sP8_prd
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| sP7_prd ) ),
inference(formula_renaming,[status(thm)],[f226,f228,f227]) ).
fof(f230,plain,
( ( ( ( ( op(e3,e3) != e3
& op(e3,e3) = e3 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3 )
| ~ sP9_prd
| ~ sP8_prd
| op(e1,e3) != e3
| op(e3,e1) != e3 )
& ~ sP7_prd )
| sP3_prd )
& ( ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& sP9_prd
& sP8_prd
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| sP7_prd
| ~ sP3_prd ) ),
inference(NNF_transformation,[status(thm)],[f229]) ).
fof(f231,plain,
( op(e3,e1) = e3
| sP7_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f230]) ).
fof(f232,plain,
( op(e1,e3) = e3
| sP7_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f230]) ).
fof(f233,plain,
( sP8_prd
| sP7_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f230]) ).
fof(f235,plain,
( op(e2,e3) = e2
| op(e2,e2) != e3
| sP7_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f230]) ).
fof(f237,plain,
( ~ sP7_prd
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f230]) ).
fof(f242,plain,
( ( ( op(e0,e3) != e0
& op(e0,e0) = e3 )
| sP4_prd )
& ( op(e0,e3) = e0
| op(e0,e0) != e3
| ~ sP4_prd ) ),
inference(NNF_transformation,[status(thm)],[f202]) ).
fof(f243,plain,
( op(e0,e3) = e0
| op(e0,e0) != e3
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f242]) ).
fof(f244,plain,
( op(e0,e0) = e3
| sP4_prd ),
inference(cnf_transformation,[status(thm)],[f242]) ).
fof(f245,plain,
( op(e0,e3) != e0
| sP4_prd ),
inference(cnf_transformation,[status(thm)],[f242]) ).
fof(f246,plain,
( ( ( op(e1,e3) != e1
& op(e1,e1) = e3 )
| sP5_prd )
& ( op(e1,e3) = e1
| op(e1,e1) != e3
| ~ sP5_prd ) ),
inference(NNF_transformation,[status(thm)],[f203]) ).
fof(f247,plain,
( op(e1,e3) = e1
| op(e1,e1) != e3
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f246]) ).
fof(f248,plain,
( op(e1,e1) = e3
| sP5_prd ),
inference(cnf_transformation,[status(thm)],[f246]) ).
fof(f249,plain,
( op(e1,e3) != e1
| sP5_prd ),
inference(cnf_transformation,[status(thm)],[f246]) ).
fof(f250,definition,
( sP10_prd
<=> ( ( op(e3,e2) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,e2) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP10_prd])],[]) ).
fof(f251,plain,
( sP6_prd
<=> ( ( op(e0,e3) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| sP10_prd ) ),
inference(formula_renaming,[status(thm)],[f217,f250]) ).
fof(f252,plain,
( ( ( ( op(e0,e3) != e0
| op(e3,e3) = e0
| op(e3,e0) != e3 )
& ~ sP10_prd )
| sP6_prd )
& ( ( op(e0,e3) = e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| sP10_prd
| ~ sP6_prd ) ),
inference(NNF_transformation,[status(thm)],[f251]) ).
fof(f253,plain,
( op(e3,e0) = e3
| sP10_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f254,plain,
( op(e3,e3) != e0
| sP10_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f255,plain,
( op(e0,e3) = e0
| sP10_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f256,plain,
( ~ sP10_prd
| sP6_prd ),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f258,definition,
( sP11_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(e3,e2) = e2
& op(e2,e3) = e2 )
| ( ( 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,e2) = e2
& op(e2,e2) = e2 )
| ( ( 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(e1,e2) = e2
& op(e2,e1) = e2 )
| ( ( 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(e0,e2) = e2
& op(e2,e0) = e2 )
| ( ( 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(e3,e1) = e1
& op(e1,e3) = e1 )
| ( ( 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(e2,e1) = e1
& op(e1,e2) = e1 )
| ( ( 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,e1) = e1
& op(e1,e1) = e1 )
| ( ( 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(e0,e1) = e1
& op(e1,e0) = e1 )
| ( ( 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(e3,e0) = e0
& op(e0,e3) = 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(e2,e0) = e0
& op(e0,e2) = 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(e1,e0) = e0
& op(e0,e1) = 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,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP11_prd])],[]) ).
fof(f259,plain,
( sP7_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(e0,e3) = e3
& op(e3,e0) = e3 )
| sP11_prd ) ),
inference(formula_renaming,[status(thm)],[f225,f258]) ).
fof(f260,definition,
( sP12_prd
<=> ( op(e0,e3) = e0
| op(e0,e0) != e3 ) ),
introduced(definition,[new_symbols(definition,[sP12_prd])],[]) ).
fof(f261,definition,
( sP13_prd
<=> ( op(e1,e3) = e1
| op(e1,e1) != e3 ) ),
introduced(definition,[new_symbols(definition,[sP13_prd])],[]) ).
fof(f262,plain,
( sP7_prd
<=> ( ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& sP13_prd
& sP12_prd
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| sP11_prd ) ),
inference(formula_renaming,[status(thm)],[f259,f261,f260]) ).
fof(f263,plain,
( ( ( ( ( op(e3,e3) != e3
& op(e3,e3) = e3 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3 )
| ~ sP13_prd
| ~ sP12_prd
| op(e0,e3) != e3
| op(e3,e0) != e3 )
& ~ sP11_prd )
| sP7_prd )
& ( ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& sP13_prd
& sP12_prd
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| sP11_prd
| ~ sP7_prd ) ),
inference(NNF_transformation,[status(thm)],[f262]) ).
fof(f264,plain,
( op(e3,e0) = e3
| sP11_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f263]) ).
fof(f265,plain,
( op(e0,e3) = e3
| sP11_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f263]) ).
fof(f267,plain,
( sP13_prd
| sP11_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f263]) ).
fof(f268,plain,
( op(e2,e3) = e2
| op(e2,e2) != e3
| sP11_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f263]) ).
fof(f270,plain,
( ~ sP11_prd
| sP7_prd ),
inference(cnf_transformation,[status(thm)],[f263]) ).
fof(f275,plain,
( ( ( op(e0,e3) != e0
& op(e0,e0) = e3 )
| sP8_prd )
& ( op(e0,e3) = e0
| op(e0,e0) != e3
| ~ sP8_prd ) ),
inference(NNF_transformation,[status(thm)],[f227]) ).
fof(f276,plain,
( op(e0,e3) = e0
| op(e0,e0) != e3
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f275]) ).
fof(f277,plain,
( op(e0,e0) = e3
| sP8_prd ),
inference(cnf_transformation,[status(thm)],[f275]) ).
fof(f278,plain,
( op(e0,e3) != e0
| sP8_prd ),
inference(cnf_transformation,[status(thm)],[f275]) ).
fof(f279,plain,
( ( ( op(e1,e3) != e1
& op(e1,e1) = e3 )
| sP9_prd )
& ( op(e1,e3) = e1
| op(e1,e1) != e3
| ~ sP9_prd ) ),
inference(NNF_transformation,[status(thm)],[f228]) ).
fof(f280,plain,
( op(e1,e3) = e1
| op(e1,e1) != e3
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f279]) ).
fof(f281,plain,
( op(e1,e1) = e3
| sP9_prd ),
inference(cnf_transformation,[status(thm)],[f279]) ).
fof(f282,plain,
( op(e1,e3) != e1
| sP9_prd ),
inference(cnf_transformation,[status(thm)],[f279]) ).
fof(f283,definition,
( sP14_prd
<=> ( ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,e2) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP14_prd])],[]) ).
fof(f284,plain,
( sP10_prd
<=> ( ( op(e3,e2) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| sP14_prd ) ),
inference(formula_renaming,[status(thm)],[f250,f283]) ).
fof(f285,plain,
( ( ( ( op(e3,e2) != e3
| op(e2,e2) = e3
| op(e2,e3) != e2 )
& ~ sP14_prd )
| sP10_prd )
& ( ( op(e3,e2) = e3
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| sP14_prd
| ~ sP10_prd ) ),
inference(NNF_transformation,[status(thm)],[f284]) ).
fof(f286,plain,
( op(e2,e3) = e2
| sP14_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f285]) ).
fof(f287,plain,
( op(e2,e2) != e3
| sP14_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f285]) ).
fof(f288,plain,
( op(e3,e2) = e3
| sP14_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f285]) ).
fof(f289,plain,
( ~ sP14_prd
| sP10_prd ),
inference(cnf_transformation,[status(thm)],[f285]) ).
fof(f290,plain,
( op(e3,e2) != e3
| op(e2,e2) = e3
| op(e2,e3) != e2
| sP10_prd ),
inference(cnf_transformation,[status(thm)],[f285]) ).
fof(f291,definition,
( sP15_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,e2) = e2
& op(e2,e2) = e2 )
| ( ( 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(e1,e2) = e2
& op(e2,e1) = e2 )
| ( ( 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(e0,e2) = e2
& op(e2,e0) = e2 )
| ( ( 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(e3,e1) = e1
& op(e1,e3) = e1 )
| ( ( 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(e2,e1) = e1
& op(e1,e2) = e1 )
| ( ( 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,e1) = e1
& op(e1,e1) = e1 )
| ( ( 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(e0,e1) = e1
& op(e1,e0) = e1 )
| ( ( 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(e3,e0) = e0
& op(e0,e3) = 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(e2,e0) = e0
& op(e0,e2) = 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(e1,e0) = e0
& op(e0,e1) = 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,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP15_prd])],[]) ).
fof(f292,plain,
( sP11_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(e3,e2) = e2
& op(e2,e3) = e2 )
| sP15_prd ) ),
inference(formula_renaming,[status(thm)],[f258,f291]) ).
fof(f293,definition,
( sP16_prd
<=> ( op(e0,e2) = e0
| op(e0,e0) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP16_prd])],[]) ).
fof(f294,definition,
( sP17_prd
<=> ( op(e1,e2) = e1
| op(e1,e1) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP17_prd])],[]) ).
fof(f295,plain,
( sP11_prd
<=> ( ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& sP17_prd
& sP16_prd
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| sP15_prd ) ),
inference(formula_renaming,[status(thm)],[f292,f294,f293]) ).
fof(f296,plain,
( ( ( ( ( op(e3,e2) != e3
& op(e3,e3) = e2 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2 )
| ~ sP17_prd
| ~ sP16_prd
| op(e3,e2) != e2
| op(e2,e3) != e2 )
& ~ sP15_prd )
| sP11_prd )
& ( ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& sP17_prd
& sP16_prd
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| sP15_prd
| ~ sP11_prd ) ),
inference(NNF_transformation,[status(thm)],[f295]) ).
fof(f297,plain,
( op(e2,e3) = e2
| sP15_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f296]) ).
fof(f298,plain,
( op(e3,e2) = e2
| sP15_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f296]) ).
fof(f299,plain,
( sP16_prd
| sP15_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f296]) ).
fof(f300,plain,
( sP17_prd
| sP15_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f296]) ).
fof(f303,plain,
( ~ sP15_prd
| sP11_prd ),
inference(cnf_transformation,[status(thm)],[f296]) ).
fof(f308,plain,
( ( ( op(e0,e3) != e0
& op(e0,e0) = e3 )
| sP12_prd )
& ( op(e0,e3) = e0
| op(e0,e0) != e3
| ~ sP12_prd ) ),
inference(NNF_transformation,[status(thm)],[f260]) ).
fof(f309,plain,
( op(e0,e3) = e0
| op(e0,e0) != e3
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f308]) ).
fof(f310,plain,
( op(e0,e0) = e3
| sP12_prd ),
inference(cnf_transformation,[status(thm)],[f308]) ).
fof(f311,plain,
( op(e0,e3) != e0
| sP12_prd ),
inference(cnf_transformation,[status(thm)],[f308]) ).
fof(f312,plain,
( ( ( op(e1,e3) != e1
& op(e1,e1) = e3 )
| sP13_prd )
& ( op(e1,e3) = e1
| op(e1,e1) != e3
| ~ sP13_prd ) ),
inference(NNF_transformation,[status(thm)],[f261]) ).
fof(f313,plain,
( op(e1,e3) = e1
| op(e1,e1) != e3
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f312]) ).
fof(f314,plain,
( op(e1,e1) = e3
| sP13_prd ),
inference(cnf_transformation,[status(thm)],[f312]) ).
fof(f315,plain,
( op(e1,e3) != e1
| sP13_prd ),
inference(cnf_transformation,[status(thm)],[f312]) ).
fof(f316,definition,
( sP18_prd
<=> ( ( op(e1,e2) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP18_prd])],[]) ).
fof(f317,plain,
( sP14_prd
<=> ( ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| sP18_prd ) ),
inference(formula_renaming,[status(thm)],[f283,f316]) ).
fof(f318,plain,
( ( ( ( op(e2,e2) != e2
| op(e2,e2) = e2
| op(e2,e2) != e2 )
& ~ sP18_prd )
| sP14_prd )
& ( ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| sP18_prd
| ~ sP14_prd ) ),
inference(NNF_transformation,[status(thm)],[f317]) ).
fof(f319,plain,
( op(e2,e2) = e2
| sP18_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f318]) ).
fof(f320,plain,
( op(e2,e2) != e2
| sP18_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f318]) ).
fof(f322,plain,
( ~ sP18_prd
| sP14_prd ),
inference(cnf_transformation,[status(thm)],[f318]) ).
fof(f324,definition,
( sP19_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(e1,e2) = e2
& op(e2,e1) = e2 )
| ( ( 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(e0,e2) = e2
& op(e2,e0) = e2 )
| ( ( 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(e3,e1) = e1
& op(e1,e3) = e1 )
| ( ( 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(e2,e1) = e1
& op(e1,e2) = e1 )
| ( ( 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,e1) = e1
& op(e1,e1) = e1 )
| ( ( 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(e0,e1) = e1
& op(e1,e0) = e1 )
| ( ( 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(e3,e0) = e0
& op(e0,e3) = 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(e2,e0) = e0
& op(e0,e2) = 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(e1,e0) = e0
& op(e0,e1) = 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,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP19_prd])],[]) ).
fof(f325,plain,
( sP15_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,e2) = e2
& op(e2,e2) = e2 )
| sP19_prd ) ),
inference(formula_renaming,[status(thm)],[f291,f324]) ).
fof(f326,definition,
( sP20_prd
<=> ( op(e0,e2) = e0
| op(e0,e0) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP20_prd])],[]) ).
fof(f327,definition,
( sP21_prd
<=> ( op(e1,e2) = e1
| op(e1,e1) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP21_prd])],[]) ).
fof(f328,plain,
( sP15_prd
<=> ( ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& sP21_prd
& sP20_prd
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| sP19_prd ) ),
inference(formula_renaming,[status(thm)],[f325,f327,f326]) ).
fof(f329,plain,
( ( ( ( ( op(e3,e2) != e3
& op(e3,e3) = e2 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2 )
| ~ sP21_prd
| ~ sP20_prd
| op(e2,e2) != e2
| op(e2,e2) != e2 )
& ~ sP19_prd )
| sP15_prd )
& ( ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& sP21_prd
& sP20_prd
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| sP19_prd
| ~ sP15_prd ) ),
inference(NNF_transformation,[status(thm)],[f328]) ).
fof(f330,plain,
( op(e2,e2) = e2
| sP19_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f329]) ).
fof(f332,plain,
( sP20_prd
| sP19_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f329]) ).
fof(f333,plain,
( sP21_prd
| sP19_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f329]) ).
fof(f335,plain,
( op(e3,e2) = e3
| op(e3,e3) != e2
| sP19_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f329]) ).
fof(f336,plain,
( ~ sP19_prd
| sP15_prd ),
inference(cnf_transformation,[status(thm)],[f329]) ).
fof(f339,plain,
( op(e3,e3) = e2
| op(e2,e2) != e2
| ~ sP21_prd
| ~ sP20_prd
| op(e2,e2) != e2
| op(e2,e2) != e2
| sP15_prd ),
inference(cnf_transformation,[status(thm)],[f329]) ).
fof(f340,plain,
( op(e3,e2) != e3
| op(e2,e2) != e2
| ~ sP21_prd
| ~ sP20_prd
| op(e2,e2) != e2
| op(e2,e2) != e2
| sP15_prd ),
inference(cnf_transformation,[status(thm)],[f329]) ).
fof(f341,plain,
( ( ( op(e0,e2) != e0
& op(e0,e0) = e2 )
| sP16_prd )
& ( op(e0,e2) = e0
| op(e0,e0) != e2
| ~ sP16_prd ) ),
inference(NNF_transformation,[status(thm)],[f293]) ).
fof(f342,plain,
( op(e0,e2) = e0
| op(e0,e0) != e2
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f341]) ).
fof(f343,plain,
( op(e0,e0) = e2
| sP16_prd ),
inference(cnf_transformation,[status(thm)],[f341]) ).
fof(f344,plain,
( op(e0,e2) != e0
| sP16_prd ),
inference(cnf_transformation,[status(thm)],[f341]) ).
fof(f345,plain,
( ( ( op(e1,e2) != e1
& op(e1,e1) = e2 )
| sP17_prd )
& ( op(e1,e2) = e1
| op(e1,e1) != e2
| ~ sP17_prd ) ),
inference(NNF_transformation,[status(thm)],[f294]) ).
fof(f346,plain,
( op(e1,e2) = e1
| op(e1,e1) != e2
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f345]) ).
fof(f347,plain,
( op(e1,e1) = e2
| sP17_prd ),
inference(cnf_transformation,[status(thm)],[f345]) ).
fof(f348,plain,
( op(e1,e2) != e1
| sP17_prd ),
inference(cnf_transformation,[status(thm)],[f345]) ).
fof(f349,definition,
( sP22_prd
<=> ( ( op(e0,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP22_prd])],[]) ).
fof(f350,plain,
( sP18_prd
<=> ( ( op(e1,e2) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| sP22_prd ) ),
inference(formula_renaming,[status(thm)],[f316,f349]) ).
fof(f351,plain,
( ( ( ( op(e1,e2) != e1
| op(e2,e2) = e1
| op(e2,e1) != e2 )
& ~ sP22_prd )
| sP18_prd )
& ( ( op(e1,e2) = e1
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| sP22_prd
| ~ sP18_prd ) ),
inference(NNF_transformation,[status(thm)],[f350]) ).
fof(f352,plain,
( op(e2,e1) = e2
| sP22_prd
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f351]) ).
fof(f353,plain,
( op(e2,e2) != e1
| sP22_prd
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f351]) ).
fof(f354,plain,
( op(e1,e2) = e1
| sP22_prd
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f351]) ).
fof(f355,plain,
( ~ sP22_prd
| sP18_prd ),
inference(cnf_transformation,[status(thm)],[f351]) ).
fof(f356,plain,
( op(e1,e2) != e1
| op(e2,e2) = e1
| op(e2,e1) != e2
| sP18_prd ),
inference(cnf_transformation,[status(thm)],[f351]) ).
fof(f357,definition,
( sP23_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(e0,e2) = e2
& op(e2,e0) = e2 )
| ( ( 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(e3,e1) = e1
& op(e1,e3) = e1 )
| ( ( 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(e2,e1) = e1
& op(e1,e2) = e1 )
| ( ( 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,e1) = e1
& op(e1,e1) = e1 )
| ( ( 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(e0,e1) = e1
& op(e1,e0) = e1 )
| ( ( 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(e3,e0) = e0
& op(e0,e3) = 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(e2,e0) = e0
& op(e0,e2) = 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(e1,e0) = e0
& op(e0,e1) = 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,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP23_prd])],[]) ).
fof(f358,plain,
( sP19_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(e1,e2) = e2
& op(e2,e1) = e2 )
| sP23_prd ) ),
inference(formula_renaming,[status(thm)],[f324,f357]) ).
fof(f359,definition,
( sP24_prd
<=> ( op(e0,e2) = e0
| op(e0,e0) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP24_prd])],[]) ).
fof(f360,definition,
( sP25_prd
<=> ( op(e1,e2) = e1
| op(e1,e1) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP25_prd])],[]) ).
fof(f361,plain,
( sP19_prd
<=> ( ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& sP25_prd
& sP24_prd
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| sP23_prd ) ),
inference(formula_renaming,[status(thm)],[f358,f360,f359]) ).
fof(f362,plain,
( ( ( ( ( op(e3,e2) != e3
& op(e3,e3) = e2 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2 )
| ~ sP25_prd
| ~ sP24_prd
| op(e1,e2) != e2
| op(e2,e1) != e2 )
& ~ sP23_prd )
| sP19_prd )
& ( ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& sP25_prd
& sP24_prd
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| sP23_prd
| ~ sP19_prd ) ),
inference(NNF_transformation,[status(thm)],[f361]) ).
fof(f363,plain,
( op(e2,e1) = e2
| sP23_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f362]) ).
fof(f364,plain,
( op(e1,e2) = e2
| sP23_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f362]) ).
fof(f365,plain,
( sP24_prd
| sP23_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f362]) ).
fof(f368,plain,
( op(e3,e2) = e3
| op(e3,e3) != e2
| sP23_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f362]) ).
fof(f369,plain,
( ~ sP23_prd
| sP19_prd ),
inference(cnf_transformation,[status(thm)],[f362]) ).
fof(f370,plain,
( op(e3,e3) = e2
| op(e2,e2) = e2
| ~ sP25_prd
| ~ sP24_prd
| op(e1,e2) != e2
| op(e2,e1) != e2
| sP19_prd ),
inference(cnf_transformation,[status(thm)],[f362]) ).
fof(f374,plain,
( ( ( op(e0,e2) != e0
& op(e0,e0) = e2 )
| sP20_prd )
& ( op(e0,e2) = e0
| op(e0,e0) != e2
| ~ sP20_prd ) ),
inference(NNF_transformation,[status(thm)],[f326]) ).
fof(f375,plain,
( op(e0,e2) = e0
| op(e0,e0) != e2
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f374]) ).
fof(f376,plain,
( op(e0,e0) = e2
| sP20_prd ),
inference(cnf_transformation,[status(thm)],[f374]) ).
fof(f377,plain,
( op(e0,e2) != e0
| sP20_prd ),
inference(cnf_transformation,[status(thm)],[f374]) ).
fof(f378,plain,
( ( ( op(e1,e2) != e1
& op(e1,e1) = e2 )
| sP21_prd )
& ( op(e1,e2) = e1
| op(e1,e1) != e2
| ~ sP21_prd ) ),
inference(NNF_transformation,[status(thm)],[f327]) ).
fof(f379,plain,
( op(e1,e2) = e1
| op(e1,e1) != e2
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f378]) ).
fof(f380,plain,
( op(e1,e1) = e2
| sP21_prd ),
inference(cnf_transformation,[status(thm)],[f378]) ).
fof(f381,plain,
( op(e1,e2) != e1
| sP21_prd ),
inference(cnf_transformation,[status(thm)],[f378]) ).
fof(f382,definition,
( sP26_prd
<=> ( ( op(e3,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP26_prd])],[]) ).
fof(f383,plain,
( sP22_prd
<=> ( ( op(e0,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| sP26_prd ) ),
inference(formula_renaming,[status(thm)],[f349,f382]) ).
fof(f384,plain,
( ( ( ( op(e0,e2) != e0
| op(e2,e2) = e0
| op(e2,e0) != e2 )
& ~ sP26_prd )
| sP22_prd )
& ( ( op(e0,e2) = e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| sP26_prd
| ~ sP22_prd ) ),
inference(NNF_transformation,[status(thm)],[f383]) ).
fof(f385,plain,
( op(e2,e0) = e2
| sP26_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f384]) ).
fof(f386,plain,
( op(e2,e2) != e0
| sP26_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f384]) ).
fof(f387,plain,
( op(e0,e2) = e0
| sP26_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f384]) ).
fof(f388,plain,
( ~ sP26_prd
| sP22_prd ),
inference(cnf_transformation,[status(thm)],[f384]) ).
fof(f389,plain,
( op(e0,e2) != e0
| op(e2,e2) = e0
| op(e2,e0) != e2
| sP22_prd ),
inference(cnf_transformation,[status(thm)],[f384]) ).
fof(f390,definition,
( sP27_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(e3,e1) = e1
& op(e1,e3) = e1 )
| ( ( 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(e2,e1) = e1
& op(e1,e2) = e1 )
| ( ( 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,e1) = e1
& op(e1,e1) = e1 )
| ( ( 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(e0,e1) = e1
& op(e1,e0) = e1 )
| ( ( 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(e3,e0) = e0
& op(e0,e3) = 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(e2,e0) = e0
& op(e0,e2) = 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(e1,e0) = e0
& op(e0,e1) = 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,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP27_prd])],[]) ).
fof(f391,plain,
( sP23_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(e0,e2) = e2
& op(e2,e0) = e2 )
| sP27_prd ) ),
inference(formula_renaming,[status(thm)],[f357,f390]) ).
fof(f392,definition,
( sP28_prd
<=> ( op(e0,e2) = e0
| op(e0,e0) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP28_prd])],[]) ).
fof(f393,definition,
( sP29_prd
<=> ( op(e1,e2) = e1
| op(e1,e1) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP29_prd])],[]) ).
fof(f394,plain,
( sP23_prd
<=> ( ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& sP29_prd
& sP28_prd
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| sP27_prd ) ),
inference(formula_renaming,[status(thm)],[f391,f393,f392]) ).
fof(f395,plain,
( ( ( ( ( op(e3,e2) != e3
& op(e3,e3) = e2 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2 )
| ~ sP29_prd
| ~ sP28_prd
| op(e0,e2) != e2
| op(e2,e0) != e2 )
& ~ sP27_prd )
| sP23_prd )
& ( ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& sP29_prd
& sP28_prd
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| sP27_prd
| ~ sP23_prd ) ),
inference(NNF_transformation,[status(thm)],[f394]) ).
fof(f396,plain,
( op(e2,e0) = e2
| sP27_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f395]) ).
fof(f397,plain,
( op(e0,e2) = e2
| sP27_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f395]) ).
fof(f399,plain,
( sP29_prd
| sP27_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f395]) ).
fof(f401,plain,
( op(e3,e2) = e3
| op(e3,e3) != e2
| sP27_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f395]) ).
fof(f402,plain,
( ~ sP27_prd
| sP23_prd ),
inference(cnf_transformation,[status(thm)],[f395]) ).
fof(f403,plain,
( op(e3,e3) = e2
| op(e2,e2) = e2
| ~ sP29_prd
| ~ sP28_prd
| op(e0,e2) != e2
| op(e2,e0) != e2
| sP23_prd ),
inference(cnf_transformation,[status(thm)],[f395]) ).
fof(f404,plain,
( op(e3,e2) != e3
| op(e2,e2) = e2
| ~ sP29_prd
| ~ sP28_prd
| op(e0,e2) != e2
| op(e2,e0) != e2
| sP23_prd ),
inference(cnf_transformation,[status(thm)],[f395]) ).
fof(f407,plain,
( ( ( op(e0,e2) != e0
& op(e0,e0) = e2 )
| sP24_prd )
& ( op(e0,e2) = e0
| op(e0,e0) != e2
| ~ sP24_prd ) ),
inference(NNF_transformation,[status(thm)],[f359]) ).
fof(f408,plain,
( op(e0,e2) = e0
| op(e0,e0) != e2
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f407]) ).
fof(f409,plain,
( op(e0,e0) = e2
| sP24_prd ),
inference(cnf_transformation,[status(thm)],[f407]) ).
fof(f410,plain,
( op(e0,e2) != e0
| sP24_prd ),
inference(cnf_transformation,[status(thm)],[f407]) ).
fof(f411,plain,
( ( ( op(e1,e2) != e1
& op(e1,e1) = e2 )
| sP25_prd )
& ( op(e1,e2) = e1
| op(e1,e1) != e2
| ~ sP25_prd ) ),
inference(NNF_transformation,[status(thm)],[f360]) ).
fof(f412,plain,
( op(e1,e2) = e1
| op(e1,e1) != e2
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f411]) ).
fof(f413,plain,
( op(e1,e1) = e2
| sP25_prd ),
inference(cnf_transformation,[status(thm)],[f411]) ).
fof(f414,plain,
( op(e1,e2) != e1
| sP25_prd ),
inference(cnf_transformation,[status(thm)],[f411]) ).
fof(f415,definition,
( sP30_prd
<=> ( ( op(e2,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP30_prd])],[]) ).
fof(f416,plain,
( sP26_prd
<=> ( ( op(e3,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| sP30_prd ) ),
inference(formula_renaming,[status(thm)],[f382,f415]) ).
fof(f417,plain,
( ( ( ( op(e3,e1) != e3
| op(e1,e1) = e3
| op(e1,e3) != e1 )
& ~ sP30_prd )
| sP26_prd )
& ( ( op(e3,e1) = e3
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| sP30_prd
| ~ sP26_prd ) ),
inference(NNF_transformation,[status(thm)],[f416]) ).
fof(f418,plain,
( op(e1,e3) = e1
| sP30_prd
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f417]) ).
fof(f419,plain,
( op(e1,e1) != e3
| sP30_prd
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f417]) ).
fof(f420,plain,
( op(e3,e1) = e3
| sP30_prd
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f417]) ).
fof(f421,plain,
( ~ sP30_prd
| sP26_prd ),
inference(cnf_transformation,[status(thm)],[f417]) ).
fof(f422,plain,
( op(e3,e1) != e3
| op(e1,e1) = e3
| op(e1,e3) != e1
| sP26_prd ),
inference(cnf_transformation,[status(thm)],[f417]) ).
fof(f423,definition,
( sP31_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(e2,e1) = e1
& op(e1,e2) = e1 )
| ( ( 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,e1) = e1
& op(e1,e1) = e1 )
| ( ( 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(e0,e1) = e1
& op(e1,e0) = e1 )
| ( ( 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(e3,e0) = e0
& op(e0,e3) = 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(e2,e0) = e0
& op(e0,e2) = 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(e1,e0) = e0
& op(e0,e1) = 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,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP31_prd])],[]) ).
fof(f424,plain,
( sP27_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(e3,e1) = e1
& op(e1,e3) = e1 )
| sP31_prd ) ),
inference(formula_renaming,[status(thm)],[f390,f423]) ).
fof(f425,definition,
( sP32_prd
<=> ( op(e0,e1) = e0
| op(e0,e0) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP32_prd])],[]) ).
fof(f426,definition,
( sP33_prd
<=> ( op(e1,e1) = e1
| op(e1,e1) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP33_prd])],[]) ).
fof(f427,plain,
( sP27_prd
<=> ( ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& sP33_prd
& sP32_prd
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| sP31_prd ) ),
inference(formula_renaming,[status(thm)],[f424,f426,f425]) ).
fof(f428,plain,
( ( ( ( ( op(e3,e1) != e3
& op(e3,e3) = e1 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1 )
| ~ sP33_prd
| ~ sP32_prd
| op(e3,e1) != e1
| op(e1,e3) != e1 )
& ~ sP31_prd )
| sP27_prd )
& ( ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& sP33_prd
& sP32_prd
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| sP31_prd
| ~ sP27_prd ) ),
inference(NNF_transformation,[status(thm)],[f427]) ).
fof(f429,plain,
( op(e1,e3) = e1
| sP31_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f428]) ).
fof(f430,plain,
( op(e3,e1) = e1
| sP31_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f428]) ).
fof(f431,plain,
( sP32_prd
| sP31_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f428]) ).
fof(f433,plain,
( op(e2,e1) = e2
| op(e2,e2) != e1
| sP31_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f428]) ).
fof(f435,plain,
( ~ sP31_prd
| sP27_prd ),
inference(cnf_transformation,[status(thm)],[f428]) ).
fof(f436,plain,
( op(e3,e3) = e1
| op(e2,e2) = e1
| ~ sP33_prd
| ~ sP32_prd
| op(e3,e1) != e1
| op(e1,e3) != e1
| sP27_prd ),
inference(cnf_transformation,[status(thm)],[f428]) ).
fof(f438,plain,
( op(e3,e3) = e1
| op(e2,e1) != e2
| ~ sP33_prd
| ~ sP32_prd
| op(e3,e1) != e1
| op(e1,e3) != e1
| sP27_prd ),
inference(cnf_transformation,[status(thm)],[f428]) ).
fof(f440,plain,
( ( ( op(e0,e2) != e0
& op(e0,e0) = e2 )
| sP28_prd )
& ( op(e0,e2) = e0
| op(e0,e0) != e2
| ~ sP28_prd ) ),
inference(NNF_transformation,[status(thm)],[f392]) ).
fof(f441,plain,
( op(e0,e2) = e0
| op(e0,e0) != e2
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f440]) ).
fof(f442,plain,
( op(e0,e0) = e2
| sP28_prd ),
inference(cnf_transformation,[status(thm)],[f440]) ).
fof(f443,plain,
( op(e0,e2) != e0
| sP28_prd ),
inference(cnf_transformation,[status(thm)],[f440]) ).
fof(f444,plain,
( ( ( op(e1,e2) != e1
& op(e1,e1) = e2 )
| sP29_prd )
& ( op(e1,e2) = e1
| op(e1,e1) != e2
| ~ sP29_prd ) ),
inference(NNF_transformation,[status(thm)],[f393]) ).
fof(f445,plain,
( op(e1,e2) = e1
| op(e1,e1) != e2
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f444]) ).
fof(f446,plain,
( op(e1,e1) = e2
| sP29_prd ),
inference(cnf_transformation,[status(thm)],[f444]) ).
fof(f447,plain,
( op(e1,e2) != e1
| sP29_prd ),
inference(cnf_transformation,[status(thm)],[f444]) ).
fof(f448,definition,
( sP34_prd
<=> ( ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP34_prd])],[]) ).
fof(f449,plain,
( sP30_prd
<=> ( ( op(e2,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| sP34_prd ) ),
inference(formula_renaming,[status(thm)],[f415,f448]) ).
fof(f450,plain,
( ( ( ( op(e2,e1) != e2
| op(e1,e1) = e2
| op(e1,e2) != e1 )
& ~ sP34_prd )
| sP30_prd )
& ( ( op(e2,e1) = e2
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| sP34_prd
| ~ sP30_prd ) ),
inference(NNF_transformation,[status(thm)],[f449]) ).
fof(f451,plain,
( op(e1,e2) = e1
| sP34_prd
| ~ sP30_prd ),
inference(cnf_transformation,[status(thm)],[f450]) ).
fof(f452,plain,
( op(e1,e1) != e2
| sP34_prd
| ~ sP30_prd ),
inference(cnf_transformation,[status(thm)],[f450]) ).
fof(f453,plain,
( op(e2,e1) = e2
| sP34_prd
| ~ sP30_prd ),
inference(cnf_transformation,[status(thm)],[f450]) ).
fof(f454,plain,
( ~ sP34_prd
| sP30_prd ),
inference(cnf_transformation,[status(thm)],[f450]) ).
fof(f455,plain,
( op(e2,e1) != e2
| op(e1,e1) = e2
| op(e1,e2) != e1
| sP30_prd ),
inference(cnf_transformation,[status(thm)],[f450]) ).
fof(f456,definition,
( sP35_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,e1) = e1
& op(e1,e1) = e1 )
| ( ( 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(e0,e1) = e1
& op(e1,e0) = e1 )
| ( ( 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(e3,e0) = e0
& op(e0,e3) = 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(e2,e0) = e0
& op(e0,e2) = 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(e1,e0) = e0
& op(e0,e1) = 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,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP35_prd])],[]) ).
fof(f457,plain,
( sP31_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(e2,e1) = e1
& op(e1,e2) = e1 )
| sP35_prd ) ),
inference(formula_renaming,[status(thm)],[f423,f456]) ).
fof(f458,definition,
( sP36_prd
<=> ( op(e0,e1) = e0
| op(e0,e0) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP36_prd])],[]) ).
fof(f459,definition,
( sP37_prd
<=> ( op(e1,e1) = e1
| op(e1,e1) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP37_prd])],[]) ).
fof(f460,plain,
( sP31_prd
<=> ( ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& sP37_prd
& sP36_prd
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| sP35_prd ) ),
inference(formula_renaming,[status(thm)],[f457,f459,f458]) ).
fof(f461,plain,
( ( ( ( ( op(e3,e1) != e3
& op(e3,e3) = e1 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1 )
| ~ sP37_prd
| ~ sP36_prd
| op(e2,e1) != e1
| op(e1,e2) != e1 )
& ~ sP35_prd )
| sP31_prd )
& ( ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& sP37_prd
& sP36_prd
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| sP35_prd
| ~ sP31_prd ) ),
inference(NNF_transformation,[status(thm)],[f460]) ).
fof(f462,plain,
( op(e1,e2) = e1
| sP35_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f461]) ).
fof(f463,plain,
( op(e2,e1) = e1
| sP35_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f461]) ).
fof(f464,plain,
( sP36_prd
| sP35_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f461]) ).
fof(f466,plain,
( op(e2,e1) = e2
| op(e2,e2) != e1
| sP35_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f461]) ).
fof(f467,plain,
( op(e3,e1) = e3
| op(e3,e3) != e1
| sP35_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f461]) ).
fof(f468,plain,
( ~ sP35_prd
| sP31_prd ),
inference(cnf_transformation,[status(thm)],[f461]) ).
fof(f469,plain,
( op(e3,e3) = e1
| op(e2,e2) = e1
| ~ sP37_prd
| ~ sP36_prd
| op(e2,e1) != e1
| op(e1,e2) != e1
| sP31_prd ),
inference(cnf_transformation,[status(thm)],[f461]) ).
fof(f470,plain,
( op(e3,e1) != e3
| op(e2,e2) = e1
| ~ sP37_prd
| ~ sP36_prd
| op(e2,e1) != e1
| op(e1,e2) != e1
| sP31_prd ),
inference(cnf_transformation,[status(thm)],[f461]) ).
fof(f473,plain,
( ( ( op(e0,e1) != e0
& op(e0,e0) = e1 )
| sP32_prd )
& ( op(e0,e1) = e0
| op(e0,e0) != e1
| ~ sP32_prd ) ),
inference(NNF_transformation,[status(thm)],[f425]) ).
fof(f474,plain,
( op(e0,e1) = e0
| op(e0,e0) != e1
| ~ sP32_prd ),
inference(cnf_transformation,[status(thm)],[f473]) ).
fof(f475,plain,
( op(e0,e0) = e1
| sP32_prd ),
inference(cnf_transformation,[status(thm)],[f473]) ).
fof(f476,plain,
( op(e0,e1) != e0
| sP32_prd ),
inference(cnf_transformation,[status(thm)],[f473]) ).
fof(f477,plain,
( ( ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| sP33_prd )
& ( op(e1,e1) = e1
| op(e1,e1) != e1
| ~ sP33_prd ) ),
inference(NNF_transformation,[status(thm)],[f426]) ).
fof(f479,plain,
( op(e1,e1) = e1
| sP33_prd ),
inference(cnf_transformation,[status(thm)],[f477]) ).
fof(f480,plain,
( op(e1,e1) != e1
| sP33_prd ),
inference(cnf_transformation,[status(thm)],[f477]) ).
fof(f481,definition,
( sP38_prd
<=> ( ( op(e0,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP38_prd])],[]) ).
fof(f482,plain,
( sP34_prd
<=> ( ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| sP38_prd ) ),
inference(formula_renaming,[status(thm)],[f448,f481]) ).
fof(f483,plain,
( ( ( ( op(e1,e1) != e1
| op(e1,e1) = e1
| op(e1,e1) != e1 )
& ~ sP38_prd )
| sP34_prd )
& ( ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| sP38_prd
| ~ sP34_prd ) ),
inference(NNF_transformation,[status(thm)],[f482]) ).
fof(f484,plain,
( op(e1,e1) = e1
| sP38_prd
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f483]) ).
fof(f485,plain,
( op(e1,e1) != e1
| sP38_prd
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f483]) ).
fof(f487,plain,
( ~ sP38_prd
| sP34_prd ),
inference(cnf_transformation,[status(thm)],[f483]) ).
fof(f489,definition,
( sP39_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(e0,e1) = e1
& op(e1,e0) = e1 )
| ( ( 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(e3,e0) = e0
& op(e0,e3) = 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(e2,e0) = e0
& op(e0,e2) = 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(e1,e0) = e0
& op(e0,e1) = 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,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP39_prd])],[]) ).
fof(f490,plain,
( sP35_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,e1) = e1
& op(e1,e1) = e1 )
| sP39_prd ) ),
inference(formula_renaming,[status(thm)],[f456,f489]) ).
fof(f491,definition,
( sP40_prd
<=> ( op(e0,e1) = e0
| op(e0,e0) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP40_prd])],[]) ).
fof(f492,definition,
( sP41_prd
<=> ( op(e1,e1) = e1
| op(e1,e1) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP41_prd])],[]) ).
fof(f493,plain,
( sP35_prd
<=> ( ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& sP41_prd
& sP40_prd
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| sP39_prd ) ),
inference(formula_renaming,[status(thm)],[f490,f492,f491]) ).
fof(f494,plain,
( ( ( ( ( op(e3,e1) != e3
& op(e3,e3) = e1 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1 )
| ~ sP41_prd
| ~ sP40_prd
| op(e1,e1) != e1
| op(e1,e1) != e1 )
& ~ sP39_prd )
| sP35_prd )
& ( ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& sP41_prd
& sP40_prd
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| sP39_prd
| ~ sP35_prd ) ),
inference(NNF_transformation,[status(thm)],[f493]) ).
fof(f495,plain,
( op(e1,e1) = e1
| sP39_prd
| ~ sP35_prd ),
inference(cnf_transformation,[status(thm)],[f494]) ).
fof(f497,plain,
( sP40_prd
| sP39_prd
| ~ sP35_prd ),
inference(cnf_transformation,[status(thm)],[f494]) ).
fof(f499,plain,
( op(e2,e1) = e2
| op(e2,e2) != e1
| sP39_prd
| ~ sP35_prd ),
inference(cnf_transformation,[status(thm)],[f494]) ).
fof(f500,plain,
( op(e3,e1) = e3
| op(e3,e3) != e1
| sP39_prd
| ~ sP35_prd ),
inference(cnf_transformation,[status(thm)],[f494]) ).
fof(f501,plain,
( ~ sP39_prd
| sP35_prd ),
inference(cnf_transformation,[status(thm)],[f494]) ).
fof(f502,plain,
( op(e3,e3) = e1
| op(e2,e2) = e1
| ~ sP41_prd
| ~ sP40_prd
| op(e1,e1) != e1
| op(e1,e1) != e1
| sP35_prd ),
inference(cnf_transformation,[status(thm)],[f494]) ).
fof(f504,plain,
( op(e3,e3) = e1
| op(e2,e1) != e2
| ~ sP41_prd
| ~ sP40_prd
| op(e1,e1) != e1
| op(e1,e1) != e1
| sP35_prd ),
inference(cnf_transformation,[status(thm)],[f494]) ).
fof(f505,plain,
( op(e3,e1) != e3
| op(e2,e1) != e2
| ~ sP41_prd
| ~ sP40_prd
| op(e1,e1) != e1
| op(e1,e1) != e1
| sP35_prd ),
inference(cnf_transformation,[status(thm)],[f494]) ).
fof(f506,plain,
( ( ( op(e0,e1) != e0
& op(e0,e0) = e1 )
| sP36_prd )
& ( op(e0,e1) = e0
| op(e0,e0) != e1
| ~ sP36_prd ) ),
inference(NNF_transformation,[status(thm)],[f458]) ).
fof(f507,plain,
( op(e0,e1) = e0
| op(e0,e0) != e1
| ~ sP36_prd ),
inference(cnf_transformation,[status(thm)],[f506]) ).
fof(f508,plain,
( op(e0,e0) = e1
| sP36_prd ),
inference(cnf_transformation,[status(thm)],[f506]) ).
fof(f509,plain,
( op(e0,e1) != e0
| sP36_prd ),
inference(cnf_transformation,[status(thm)],[f506]) ).
fof(f510,plain,
( ( ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| sP37_prd )
& ( op(e1,e1) = e1
| op(e1,e1) != e1
| ~ sP37_prd ) ),
inference(NNF_transformation,[status(thm)],[f459]) ).
fof(f512,plain,
( op(e1,e1) = e1
| sP37_prd ),
inference(cnf_transformation,[status(thm)],[f510]) ).
fof(f513,plain,
( op(e1,e1) != e1
| sP37_prd ),
inference(cnf_transformation,[status(thm)],[f510]) ).
fof(f514,definition,
( sP42_prd
<=> ( ( op(e3,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP42_prd])],[]) ).
fof(f515,plain,
( sP38_prd
<=> ( ( op(e0,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| sP42_prd ) ),
inference(formula_renaming,[status(thm)],[f481,f514]) ).
fof(f516,plain,
( ( ( ( op(e0,e1) != e0
| op(e1,e1) = e0
| op(e1,e0) != e1 )
& ~ sP42_prd )
| sP38_prd )
& ( ( op(e0,e1) = e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| sP42_prd
| ~ sP38_prd ) ),
inference(NNF_transformation,[status(thm)],[f515]) ).
fof(f517,plain,
( op(e1,e0) = e1
| sP42_prd
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f516]) ).
fof(f518,plain,
( op(e1,e1) != e0
| sP42_prd
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f516]) ).
fof(f519,plain,
( op(e0,e1) = e0
| sP42_prd
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f516]) ).
fof(f520,plain,
( ~ sP42_prd
| sP38_prd ),
inference(cnf_transformation,[status(thm)],[f516]) ).
fof(f522,definition,
( sP43_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(e3,e0) = e0
& op(e0,e3) = 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(e2,e0) = e0
& op(e0,e2) = 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(e1,e0) = e0
& op(e0,e1) = 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,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP43_prd])],[]) ).
fof(f523,plain,
( sP39_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(e0,e1) = e1
& op(e1,e0) = e1 )
| sP43_prd ) ),
inference(formula_renaming,[status(thm)],[f489,f522]) ).
fof(f524,definition,
( sP44_prd
<=> ( op(e0,e1) = e0
| op(e0,e0) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP44_prd])],[]) ).
fof(f525,definition,
( sP45_prd
<=> ( op(e1,e1) = e1
| op(e1,e1) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP45_prd])],[]) ).
fof(f526,plain,
( sP39_prd
<=> ( ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& sP45_prd
& sP44_prd
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| sP43_prd ) ),
inference(formula_renaming,[status(thm)],[f523,f525,f524]) ).
fof(f527,plain,
( ( ( ( ( op(e3,e1) != e3
& op(e3,e3) = e1 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1 )
| ~ sP45_prd
| ~ sP44_prd
| op(e0,e1) != e1
| op(e1,e0) != e1 )
& ~ sP43_prd )
| sP39_prd )
& ( ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& sP45_prd
& sP44_prd
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| sP43_prd
| ~ sP39_prd ) ),
inference(NNF_transformation,[status(thm)],[f526]) ).
fof(f528,plain,
( op(e1,e0) = e1
| sP43_prd
| ~ sP39_prd ),
inference(cnf_transformation,[status(thm)],[f527]) ).
fof(f529,plain,
( op(e0,e1) = e1
| sP43_prd
| ~ sP39_prd ),
inference(cnf_transformation,[status(thm)],[f527]) ).
fof(f530,plain,
( sP44_prd
| sP43_prd
| ~ sP39_prd ),
inference(cnf_transformation,[status(thm)],[f527]) ).
fof(f532,plain,
( op(e2,e1) = e2
| op(e2,e2) != e1
| sP43_prd
| ~ sP39_prd ),
inference(cnf_transformation,[status(thm)],[f527]) ).
fof(f533,plain,
( op(e3,e1) = e3
| op(e3,e3) != e1
| sP43_prd
| ~ sP39_prd ),
inference(cnf_transformation,[status(thm)],[f527]) ).
fof(f534,plain,
( ~ sP43_prd
| sP39_prd ),
inference(cnf_transformation,[status(thm)],[f527]) ).
fof(f535,plain,
( op(e3,e3) = e1
| op(e2,e2) = e1
| ~ sP45_prd
| ~ sP44_prd
| op(e0,e1) != e1
| op(e1,e0) != e1
| sP39_prd ),
inference(cnf_transformation,[status(thm)],[f527]) ).
fof(f538,plain,
( op(e3,e1) != e3
| op(e2,e1) != e2
| ~ sP45_prd
| ~ sP44_prd
| op(e0,e1) != e1
| op(e1,e0) != e1
| sP39_prd ),
inference(cnf_transformation,[status(thm)],[f527]) ).
fof(f539,plain,
( ( ( op(e0,e1) != e0
& op(e0,e0) = e1 )
| sP40_prd )
& ( op(e0,e1) = e0
| op(e0,e0) != e1
| ~ sP40_prd ) ),
inference(NNF_transformation,[status(thm)],[f491]) ).
fof(f540,plain,
( op(e0,e1) = e0
| op(e0,e0) != e1
| ~ sP40_prd ),
inference(cnf_transformation,[status(thm)],[f539]) ).
fof(f541,plain,
( op(e0,e0) = e1
| sP40_prd ),
inference(cnf_transformation,[status(thm)],[f539]) ).
fof(f542,plain,
( op(e0,e1) != e0
| sP40_prd ),
inference(cnf_transformation,[status(thm)],[f539]) ).
fof(f543,plain,
( ( ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| sP41_prd )
& ( op(e1,e1) = e1
| op(e1,e1) != e1
| ~ sP41_prd ) ),
inference(NNF_transformation,[status(thm)],[f492]) ).
fof(f545,plain,
( op(e1,e1) = e1
| sP41_prd ),
inference(cnf_transformation,[status(thm)],[f543]) ).
fof(f546,plain,
( op(e1,e1) != e1
| sP41_prd ),
inference(cnf_transformation,[status(thm)],[f543]) ).
fof(f547,definition,
( sP46_prd
<=> ( ( op(e2,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP46_prd])],[]) ).
fof(f548,plain,
( sP42_prd
<=> ( ( op(e3,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| sP46_prd ) ),
inference(formula_renaming,[status(thm)],[f514,f547]) ).
fof(f549,plain,
( ( ( ( op(e3,e0) != e3
| op(e0,e0) = e3
| op(e0,e3) != e0 )
& ~ sP46_prd )
| sP42_prd )
& ( ( op(e3,e0) = e3
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| sP46_prd
| ~ sP42_prd ) ),
inference(NNF_transformation,[status(thm)],[f548]) ).
fof(f550,plain,
( op(e0,e3) = e0
| sP46_prd
| ~ sP42_prd ),
inference(cnf_transformation,[status(thm)],[f549]) ).
fof(f551,plain,
( op(e0,e0) != e3
| sP46_prd
| ~ sP42_prd ),
inference(cnf_transformation,[status(thm)],[f549]) ).
fof(f552,plain,
( op(e3,e0) = e3
| sP46_prd
| ~ sP42_prd ),
inference(cnf_transformation,[status(thm)],[f549]) ).
fof(f553,plain,
( ~ sP46_prd
| sP42_prd ),
inference(cnf_transformation,[status(thm)],[f549]) ).
fof(f554,plain,
( op(e3,e0) != e3
| op(e0,e0) = e3
| op(e0,e3) != e0
| sP42_prd ),
inference(cnf_transformation,[status(thm)],[f549]) ).
fof(f555,definition,
( sP47_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(e2,e0) = e0
& op(e0,e2) = 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(e1,e0) = e0
& op(e0,e1) = 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,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP47_prd])],[]) ).
fof(f556,plain,
( sP43_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(e3,e0) = e0
& op(e0,e3) = e0 )
| sP47_prd ) ),
inference(formula_renaming,[status(thm)],[f522,f555]) ).
fof(f557,definition,
( sP48_prd
<=> ( op(e0,e0) = e0
| op(e0,e0) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP48_prd])],[]) ).
fof(f558,definition,
( sP49_prd
<=> ( op(e1,e0) = e1
| op(e1,e1) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP49_prd])],[]) ).
fof(f559,plain,
( sP43_prd
<=> ( ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& sP49_prd
& sP48_prd
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| sP47_prd ) ),
inference(formula_renaming,[status(thm)],[f556,f558,f557]) ).
fof(f560,plain,
( ( ( ( ( op(e3,e0) != e3
& op(e3,e3) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0 )
| ~ sP49_prd
| ~ sP48_prd
| op(e3,e0) != e0
| op(e0,e3) != e0 )
& ~ sP47_prd )
| sP43_prd )
& ( ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& sP49_prd
& sP48_prd
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| sP47_prd
| ~ sP43_prd ) ),
inference(NNF_transformation,[status(thm)],[f559]) ).
fof(f561,plain,
( op(e0,e3) = e0
| sP47_prd
| ~ sP43_prd ),
inference(cnf_transformation,[status(thm)],[f560]) ).
fof(f562,plain,
( op(e3,e0) = e0
| sP47_prd
| ~ sP43_prd ),
inference(cnf_transformation,[status(thm)],[f560]) ).
fof(f564,plain,
( sP49_prd
| sP47_prd
| ~ sP43_prd ),
inference(cnf_transformation,[status(thm)],[f560]) ).
fof(f565,plain,
( op(e2,e0) = e2
| op(e2,e2) != e0
| sP47_prd
| ~ sP43_prd ),
inference(cnf_transformation,[status(thm)],[f560]) ).
fof(f566,plain,
( op(e3,e0) = e3
| op(e3,e3) != e0
| sP47_prd
| ~ sP43_prd ),
inference(cnf_transformation,[status(thm)],[f560]) ).
fof(f567,plain,
( ~ sP47_prd
| sP43_prd ),
inference(cnf_transformation,[status(thm)],[f560]) ).
fof(f568,plain,
( op(e3,e3) = e0
| op(e2,e2) = e0
| ~ sP49_prd
| ~ sP48_prd
| op(e3,e0) != e0
| op(e0,e3) != e0
| sP43_prd ),
inference(cnf_transformation,[status(thm)],[f560]) ).
fof(f570,plain,
( op(e3,e3) = e0
| op(e2,e0) != e2
| ~ sP49_prd
| ~ sP48_prd
| op(e3,e0) != e0
| op(e0,e3) != e0
| sP43_prd ),
inference(cnf_transformation,[status(thm)],[f560]) ).
fof(f572,plain,
( ( ( op(e0,e1) != e0
& op(e0,e0) = e1 )
| sP44_prd )
& ( op(e0,e1) = e0
| op(e0,e0) != e1
| ~ sP44_prd ) ),
inference(NNF_transformation,[status(thm)],[f524]) ).
fof(f573,plain,
( op(e0,e1) = e0
| op(e0,e0) != e1
| ~ sP44_prd ),
inference(cnf_transformation,[status(thm)],[f572]) ).
fof(f574,plain,
( op(e0,e0) = e1
| sP44_prd ),
inference(cnf_transformation,[status(thm)],[f572]) ).
fof(f575,plain,
( op(e0,e1) != e0
| sP44_prd ),
inference(cnf_transformation,[status(thm)],[f572]) ).
fof(f576,plain,
( ( ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| sP45_prd )
& ( op(e1,e1) = e1
| op(e1,e1) != e1
| ~ sP45_prd ) ),
inference(NNF_transformation,[status(thm)],[f525]) ).
fof(f578,plain,
( op(e1,e1) = e1
| sP45_prd ),
inference(cnf_transformation,[status(thm)],[f576]) ).
fof(f579,plain,
( op(e1,e1) != e1
| sP45_prd ),
inference(cnf_transformation,[status(thm)],[f576]) ).
fof(f580,definition,
( sP50_prd
<=> ( ( op(e1,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP50_prd])],[]) ).
fof(f581,plain,
( sP46_prd
<=> ( ( op(e2,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| sP50_prd ) ),
inference(formula_renaming,[status(thm)],[f547,f580]) ).
fof(f582,plain,
( ( ( ( op(e2,e0) != e2
| op(e0,e0) = e2
| op(e0,e2) != e0 )
& ~ sP50_prd )
| sP46_prd )
& ( ( op(e2,e0) = e2
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| sP50_prd
| ~ sP46_prd ) ),
inference(NNF_transformation,[status(thm)],[f581]) ).
fof(f583,plain,
( op(e0,e2) = e0
| sP50_prd
| ~ sP46_prd ),
inference(cnf_transformation,[status(thm)],[f582]) ).
fof(f584,plain,
( op(e0,e0) != e2
| sP50_prd
| ~ sP46_prd ),
inference(cnf_transformation,[status(thm)],[f582]) ).
fof(f585,plain,
( op(e2,e0) = e2
| sP50_prd
| ~ sP46_prd ),
inference(cnf_transformation,[status(thm)],[f582]) ).
fof(f586,plain,
( ~ sP50_prd
| sP46_prd ),
inference(cnf_transformation,[status(thm)],[f582]) ).
fof(f587,plain,
( op(e2,e0) != e2
| op(e0,e0) = e2
| op(e0,e2) != e0
| sP46_prd ),
inference(cnf_transformation,[status(thm)],[f582]) ).
fof(f588,definition,
( sP51_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(e1,e0) = e0
& op(e0,e1) = 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,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP51_prd])],[]) ).
fof(f589,plain,
( sP47_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(e2,e0) = e0
& op(e0,e2) = e0 )
| sP51_prd ) ),
inference(formula_renaming,[status(thm)],[f555,f588]) ).
fof(f590,definition,
( sP52_prd
<=> ( op(e0,e0) = e0
| op(e0,e0) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP52_prd])],[]) ).
fof(f591,definition,
( sP53_prd
<=> ( op(e1,e0) = e1
| op(e1,e1) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP53_prd])],[]) ).
fof(f592,plain,
( sP47_prd
<=> ( ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& sP53_prd
& sP52_prd
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| sP51_prd ) ),
inference(formula_renaming,[status(thm)],[f589,f591,f590]) ).
fof(f593,plain,
( ( ( ( ( op(e3,e0) != e3
& op(e3,e3) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0 )
| ~ sP53_prd
| ~ sP52_prd
| op(e2,e0) != e0
| op(e0,e2) != e0 )
& ~ sP51_prd )
| sP47_prd )
& ( ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& sP53_prd
& sP52_prd
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| sP51_prd
| ~ sP47_prd ) ),
inference(NNF_transformation,[status(thm)],[f592]) ).
fof(f594,plain,
( op(e0,e2) = e0
| sP51_prd
| ~ sP47_prd ),
inference(cnf_transformation,[status(thm)],[f593]) ).
fof(f595,plain,
( op(e2,e0) = e0
| sP51_prd
| ~ sP47_prd ),
inference(cnf_transformation,[status(thm)],[f593]) ).
fof(f597,plain,
( sP53_prd
| sP51_prd
| ~ sP47_prd ),
inference(cnf_transformation,[status(thm)],[f593]) ).
fof(f598,plain,
( op(e2,e0) = e2
| op(e2,e2) != e0
| sP51_prd
| ~ sP47_prd ),
inference(cnf_transformation,[status(thm)],[f593]) ).
fof(f599,plain,
( op(e3,e0) = e3
| op(e3,e3) != e0
| sP51_prd
| ~ sP47_prd ),
inference(cnf_transformation,[status(thm)],[f593]) ).
fof(f600,plain,
( ~ sP51_prd
| sP47_prd ),
inference(cnf_transformation,[status(thm)],[f593]) ).
fof(f602,plain,
( op(e3,e0) != e3
| op(e2,e2) = e0
| ~ sP53_prd
| ~ sP52_prd
| op(e2,e0) != e0
| op(e0,e2) != e0
| sP47_prd ),
inference(cnf_transformation,[status(thm)],[f593]) ).
fof(f605,plain,
( ( ( op(e0,e0) != e0
& op(e0,e0) = e0 )
| sP48_prd )
& ( op(e0,e0) = e0
| op(e0,e0) != e0
| ~ sP48_prd ) ),
inference(NNF_transformation,[status(thm)],[f557]) ).
fof(f607,plain,
( op(e0,e0) = e0
| sP48_prd ),
inference(cnf_transformation,[status(thm)],[f605]) ).
fof(f608,plain,
( op(e0,e0) != e0
| sP48_prd ),
inference(cnf_transformation,[status(thm)],[f605]) ).
fof(f609,plain,
( ( ( op(e1,e0) != e1
& op(e1,e1) = e0 )
| sP49_prd )
& ( op(e1,e0) = e1
| op(e1,e1) != e0
| ~ sP49_prd ) ),
inference(NNF_transformation,[status(thm)],[f558]) ).
fof(f610,plain,
( op(e1,e0) = e1
| op(e1,e1) != e0
| ~ sP49_prd ),
inference(cnf_transformation,[status(thm)],[f609]) ).
fof(f611,plain,
( op(e1,e1) = e0
| sP49_prd ),
inference(cnf_transformation,[status(thm)],[f609]) ).
fof(f612,plain,
( op(e1,e0) != e1
| sP49_prd ),
inference(cnf_transformation,[status(thm)],[f609]) ).
fof(f613,definition,
( sP54_prd
<=> ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ),
introduced(definition,[new_symbols(definition,[sP54_prd])],[]) ).
fof(f614,plain,
( sP50_prd
<=> ( ( op(e1,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| sP54_prd ) ),
inference(formula_renaming,[status(thm)],[f580,f613]) ).
fof(f615,plain,
( ( ( ( op(e1,e0) != e1
| op(e0,e0) = e1
| op(e0,e1) != e0 )
& ~ sP54_prd )
| sP50_prd )
& ( ( op(e1,e0) = e1
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| sP54_prd
| ~ sP50_prd ) ),
inference(NNF_transformation,[status(thm)],[f614]) ).
fof(f616,plain,
( op(e0,e1) = e0
| sP54_prd
| ~ sP50_prd ),
inference(cnf_transformation,[status(thm)],[f615]) ).
fof(f617,plain,
( op(e0,e0) != e1
| sP54_prd
| ~ sP50_prd ),
inference(cnf_transformation,[status(thm)],[f615]) ).
fof(f618,plain,
( op(e1,e0) = e1
| sP54_prd
| ~ sP50_prd ),
inference(cnf_transformation,[status(thm)],[f615]) ).
fof(f619,plain,
( ~ sP54_prd
| sP50_prd ),
inference(cnf_transformation,[status(thm)],[f615]) ).
fof(f620,plain,
( op(e1,e0) != e1
| op(e0,e0) = e1
| op(e0,e1) != e0
| sP50_prd ),
inference(cnf_transformation,[status(thm)],[f615]) ).
fof(f621,definition,
( sP55_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,e0) = e0
& op(e0,e0) = e0 ) ),
introduced(definition,[new_symbols(definition,[sP55_prd])],[]) ).
fof(f622,plain,
( sP51_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(e1,e0) = e0
& op(e0,e1) = e0 )
| sP55_prd ) ),
inference(formula_renaming,[status(thm)],[f588,f621]) ).
fof(f623,definition,
( sP56_prd
<=> ( op(e0,e0) = e0
| op(e0,e0) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP56_prd])],[]) ).
fof(f624,definition,
( sP57_prd
<=> ( op(e1,e0) = e1
| op(e1,e1) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP57_prd])],[]) ).
fof(f625,plain,
( sP51_prd
<=> ( ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& sP57_prd
& sP56_prd
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| sP55_prd ) ),
inference(formula_renaming,[status(thm)],[f622,f624,f623]) ).
fof(f626,plain,
( ( ( ( ( op(e3,e0) != e3
& op(e3,e3) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0 )
| ~ sP57_prd
| ~ sP56_prd
| op(e1,e0) != e0
| op(e0,e1) != e0 )
& ~ sP55_prd )
| sP51_prd )
& ( ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& sP57_prd
& sP56_prd
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| sP55_prd
| ~ sP51_prd ) ),
inference(NNF_transformation,[status(thm)],[f625]) ).
fof(f627,plain,
( op(e0,e1) = e0
| sP55_prd
| ~ sP51_prd ),
inference(cnf_transformation,[status(thm)],[f626]) ).
fof(f628,plain,
( op(e1,e0) = e0
| sP55_prd
| ~ sP51_prd ),
inference(cnf_transformation,[status(thm)],[f626]) ).
fof(f629,plain,
( sP56_prd
| sP55_prd
| ~ sP51_prd ),
inference(cnf_transformation,[status(thm)],[f626]) ).
fof(f630,plain,
( sP57_prd
| sP55_prd
| ~ sP51_prd ),
inference(cnf_transformation,[status(thm)],[f626]) ).
fof(f631,plain,
( op(e2,e0) = e2
| op(e2,e2) != e0
| sP55_prd
| ~ sP51_prd ),
inference(cnf_transformation,[status(thm)],[f626]) ).
fof(f632,plain,
( op(e3,e0) = e3
| op(e3,e3) != e0
| sP55_prd
| ~ sP51_prd ),
inference(cnf_transformation,[status(thm)],[f626]) ).
fof(f633,plain,
( ~ sP55_prd
| sP51_prd ),
inference(cnf_transformation,[status(thm)],[f626]) ).
fof(f634,plain,
( op(e3,e3) = e0
| op(e2,e2) = e0
| ~ sP57_prd
| ~ sP56_prd
| op(e1,e0) != e0
| op(e0,e1) != e0
| sP51_prd ),
inference(cnf_transformation,[status(thm)],[f626]) ).
fof(f635,plain,
( op(e3,e0) != e3
| op(e2,e2) = e0
| ~ sP57_prd
| ~ sP56_prd
| op(e1,e0) != e0
| op(e0,e1) != e0
| sP51_prd ),
inference(cnf_transformation,[status(thm)],[f626]) ).
fof(f636,plain,
( op(e3,e3) = e0
| op(e2,e0) != e2
| ~ sP57_prd
| ~ sP56_prd
| op(e1,e0) != e0
| op(e0,e1) != e0
| sP51_prd ),
inference(cnf_transformation,[status(thm)],[f626]) ).
fof(f638,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)],[f590]) ).
fof(f640,plain,
( op(e0,e0) = e0
| sP52_prd ),
inference(cnf_transformation,[status(thm)],[f638]) ).
fof(f641,plain,
( op(e0,e0) != e0
| sP52_prd ),
inference(cnf_transformation,[status(thm)],[f638]) ).
fof(f642,plain,
( ( ( op(e1,e0) != e1
& op(e1,e1) = e0 )
| sP53_prd )
& ( op(e1,e0) = e1
| op(e1,e1) != e0
| ~ sP53_prd ) ),
inference(NNF_transformation,[status(thm)],[f591]) ).
fof(f643,plain,
( op(e1,e0) = e1
| op(e1,e1) != e0
| ~ sP53_prd ),
inference(cnf_transformation,[status(thm)],[f642]) ).
fof(f644,plain,
( op(e1,e1) = e0
| sP53_prd ),
inference(cnf_transformation,[status(thm)],[f642]) ).
fof(f645,plain,
( op(e1,e0) != e1
| sP53_prd ),
inference(cnf_transformation,[status(thm)],[f642]) ).
fof(f646,plain,
( ( op(e0,e0) != e0
| op(e0,e0) = e0
| op(e0,e0) != e0
| sP54_prd )
& ( ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ~ sP54_prd ) ),
inference(NNF_transformation,[status(thm)],[f613]) ).
fof(f647,plain,
( op(e0,e0) = e0
| ~ sP54_prd ),
inference(cnf_transformation,[status(thm)],[f646]) ).
fof(f648,plain,
( op(e0,e0) != e0
| ~ sP54_prd ),
inference(cnf_transformation,[status(thm)],[f646]) ).
fof(f651,definition,
( sP58_prd
<=> ( op(e0,e0) = e0
| op(e0,e0) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP58_prd])],[]) ).
fof(f652,definition,
( sP59_prd
<=> ( op(e1,e0) = e1
| op(e1,e1) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP59_prd])],[]) ).
fof(f653,plain,
( sP55_prd
<=> ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& sP59_prd
& sP58_prd
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ),
inference(formula_renaming,[status(thm)],[f621,f652,f651]) ).
fof(f654,plain,
( ( ( op(e3,e0) != e3
& op(e3,e3) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0 )
| ~ sP59_prd
| ~ sP58_prd
| op(e0,e0) != e0
| op(e0,e0) != e0
| sP55_prd )
& ( ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& sP59_prd
& sP58_prd
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ~ sP55_prd ) ),
inference(NNF_transformation,[status(thm)],[f653]) ).
fof(f655,plain,
( op(e0,e0) = e0
| ~ sP55_prd ),
inference(cnf_transformation,[status(thm)],[f654]) ).
fof(f658,plain,
( sP59_prd
| ~ sP55_prd ),
inference(cnf_transformation,[status(thm)],[f654]) ).
fof(f659,plain,
( op(e2,e0) = e2
| op(e2,e2) != e0
| ~ sP55_prd ),
inference(cnf_transformation,[status(thm)],[f654]) ).
fof(f660,plain,
( op(e3,e0) = e3
| op(e3,e3) != e0
| ~ sP55_prd ),
inference(cnf_transformation,[status(thm)],[f654]) ).
fof(f661,plain,
( op(e3,e3) = e0
| op(e2,e2) = e0
| ~ sP59_prd
| ~ sP58_prd
| op(e0,e0) != e0
| op(e0,e0) != e0
| sP55_prd ),
inference(cnf_transformation,[status(thm)],[f654]) ).
fof(f662,plain,
( op(e3,e0) != e3
| op(e2,e2) = e0
| ~ sP59_prd
| ~ sP58_prd
| op(e0,e0) != e0
| op(e0,e0) != e0
| sP55_prd ),
inference(cnf_transformation,[status(thm)],[f654]) ).
fof(f663,plain,
( op(e3,e3) = e0
| op(e2,e0) != e2
| ~ sP59_prd
| ~ sP58_prd
| op(e0,e0) != e0
| op(e0,e0) != e0
| sP55_prd ),
inference(cnf_transformation,[status(thm)],[f654]) ).
fof(f664,plain,
( op(e3,e0) != e3
| op(e2,e0) != e2
| ~ sP59_prd
| ~ sP58_prd
| op(e0,e0) != e0
| op(e0,e0) != e0
| sP55_prd ),
inference(cnf_transformation,[status(thm)],[f654]) ).
fof(f665,plain,
( ( ( op(e0,e0) != e0
& op(e0,e0) = e0 )
| sP56_prd )
& ( op(e0,e0) = e0
| op(e0,e0) != e0
| ~ sP56_prd ) ),
inference(NNF_transformation,[status(thm)],[f623]) ).
fof(f667,plain,
( op(e0,e0) = e0
| sP56_prd ),
inference(cnf_transformation,[status(thm)],[f665]) ).
fof(f668,plain,
( op(e0,e0) != e0
| sP56_prd ),
inference(cnf_transformation,[status(thm)],[f665]) ).
fof(f669,plain,
( ( ( op(e1,e0) != e1
& op(e1,e1) = e0 )
| sP57_prd )
& ( op(e1,e0) = e1
| op(e1,e1) != e0
| ~ sP57_prd ) ),
inference(NNF_transformation,[status(thm)],[f624]) ).
fof(f670,plain,
( op(e1,e0) = e1
| op(e1,e1) != e0
| ~ sP57_prd ),
inference(cnf_transformation,[status(thm)],[f669]) ).
fof(f671,plain,
( op(e1,e1) = e0
| sP57_prd ),
inference(cnf_transformation,[status(thm)],[f669]) ).
fof(f672,plain,
( op(e1,e0) != e1
| sP57_prd ),
inference(cnf_transformation,[status(thm)],[f669]) ).
fof(f673,plain,
( ( ( op(e0,e0) != e0
& op(e0,e0) = e0 )
| sP58_prd )
& ( op(e0,e0) = e0
| op(e0,e0) != e0
| ~ sP58_prd ) ),
inference(NNF_transformation,[status(thm)],[f651]) ).
fof(f675,plain,
( op(e0,e0) = e0
| sP58_prd ),
inference(cnf_transformation,[status(thm)],[f673]) ).
fof(f676,plain,
( op(e0,e0) != e0
| sP58_prd ),
inference(cnf_transformation,[status(thm)],[f673]) ).
fof(f677,plain,
( ( ( op(e1,e0) != e1
& op(e1,e1) = e0 )
| sP59_prd )
& ( op(e1,e0) = e1
| op(e1,e1) != e0
| ~ sP59_prd ) ),
inference(NNF_transformation,[status(thm)],[f652]) ).
fof(f678,plain,
( op(e1,e0) = e1
| op(e1,e1) != e0
| ~ sP59_prd ),
inference(cnf_transformation,[status(thm)],[f677]) ).
fof(f679,plain,
( op(e1,e1) = e0
| sP59_prd ),
inference(cnf_transformation,[status(thm)],[f677]) ).
fof(f680,plain,
( op(e1,e0) != e1
| sP59_prd ),
inference(cnf_transformation,[status(thm)],[f677]) ).
fof(f681,definition,
( sQ0_spl
<=> op(e0,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f682,plain,
( ~ sQ0_spl
| op(e0,e0) = e0 ),
inference(component_clause,[status(thm)],[f681]) ).
fof(f684,definition,
( sQ1_spl
<=> op(e0,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f685,plain,
( ~ sQ1_spl
| op(e0,e0) = e1 ),
inference(component_clause,[status(thm)],[f684]) ).
fof(f687,definition,
( sQ2_spl
<=> op(e0,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f688,plain,
( ~ sQ2_spl
| op(e0,e0) = e2 ),
inference(component_clause,[status(thm)],[f687]) ).
fof(f690,definition,
( sQ3_spl
<=> op(e0,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f691,plain,
( ~ sQ3_spl
| op(e0,e0) = e3 ),
inference(component_clause,[status(thm)],[f690]) ).
fof(f693,plain,
( sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f30,f681,f684,f687,f690]) ).
fof(f694,definition,
( sQ4_spl
<=> op(e0,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f695,plain,
( ~ sQ4_spl
| op(e0,e1) = e0 ),
inference(component_clause,[status(thm)],[f694]) ).
fof(f697,definition,
( sQ5_spl
<=> op(e0,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f698,plain,
( ~ sQ5_spl
| op(e0,e1) = e1 ),
inference(component_clause,[status(thm)],[f697]) ).
fof(f700,definition,
( sQ6_spl
<=> op(e0,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f701,plain,
( ~ sQ6_spl
| op(e0,e1) = e2 ),
inference(component_clause,[status(thm)],[f700]) ).
fof(f703,definition,
( sQ7_spl
<=> op(e0,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f704,plain,
( ~ sQ7_spl
| op(e0,e1) = e3 ),
inference(component_clause,[status(thm)],[f703]) ).
fof(f706,plain,
( sQ7_spl
| sQ6_spl
| sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f31,f694,f697,f700,f703]) ).
fof(f707,definition,
( sQ8_spl
<=> op(e0,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f708,plain,
( ~ sQ8_spl
| op(e0,e2) = e0 ),
inference(component_clause,[status(thm)],[f707]) ).
fof(f710,definition,
( sQ9_spl
<=> op(e0,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f711,plain,
( ~ sQ9_spl
| op(e0,e2) = e1 ),
inference(component_clause,[status(thm)],[f710]) ).
fof(f713,definition,
( sQ10_spl
<=> op(e0,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f714,plain,
( ~ sQ10_spl
| op(e0,e2) = e2 ),
inference(component_clause,[status(thm)],[f713]) ).
fof(f716,definition,
( sQ11_spl
<=> op(e0,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f717,plain,
( ~ sQ11_spl
| op(e0,e2) = e3 ),
inference(component_clause,[status(thm)],[f716]) ).
fof(f719,plain,
( sQ11_spl
| sQ10_spl
| sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f32,f707,f710,f713,f716]) ).
fof(f720,definition,
( sQ12_spl
<=> op(e0,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f721,plain,
( ~ sQ12_spl
| op(e0,e3) = e0 ),
inference(component_clause,[status(thm)],[f720]) ).
fof(f723,definition,
( sQ13_spl
<=> op(e0,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f724,plain,
( ~ sQ13_spl
| op(e0,e3) = e1 ),
inference(component_clause,[status(thm)],[f723]) ).
fof(f726,definition,
( sQ14_spl
<=> op(e0,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f727,plain,
( ~ sQ14_spl
| op(e0,e3) = e2 ),
inference(component_clause,[status(thm)],[f726]) ).
fof(f729,definition,
( sQ15_spl
<=> op(e0,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f730,plain,
( ~ sQ15_spl
| op(e0,e3) = e3 ),
inference(component_clause,[status(thm)],[f729]) ).
fof(f732,plain,
( sQ15_spl
| sQ14_spl
| sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f33,f720,f723,f726,f729]) ).
fof(f733,definition,
( sQ16_spl
<=> op(e1,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f734,plain,
( ~ sQ16_spl
| op(e1,e0) = e0 ),
inference(component_clause,[status(thm)],[f733]) ).
fof(f736,definition,
( sQ17_spl
<=> op(e1,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f737,plain,
( ~ sQ17_spl
| op(e1,e0) = e1 ),
inference(component_clause,[status(thm)],[f736]) ).
fof(f739,definition,
( sQ18_spl
<=> op(e1,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f740,plain,
( ~ sQ18_spl
| op(e1,e0) = e2 ),
inference(component_clause,[status(thm)],[f739]) ).
fof(f742,definition,
( sQ19_spl
<=> op(e1,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f743,plain,
( ~ sQ19_spl
| op(e1,e0) = e3 ),
inference(component_clause,[status(thm)],[f742]) ).
fof(f745,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f34,f733,f736,f739,f742]) ).
fof(f746,definition,
( sQ20_spl
<=> op(e1,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f747,plain,
( ~ sQ20_spl
| op(e1,e1) = e0 ),
inference(component_clause,[status(thm)],[f746]) ).
fof(f749,definition,
( sQ21_spl
<=> op(e1,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f750,plain,
( ~ sQ21_spl
| op(e1,e1) = e1 ),
inference(component_clause,[status(thm)],[f749]) ).
fof(f752,definition,
( sQ22_spl
<=> op(e1,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f753,plain,
( ~ sQ22_spl
| op(e1,e1) = e2 ),
inference(component_clause,[status(thm)],[f752]) ).
fof(f755,definition,
( sQ23_spl
<=> op(e1,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f756,plain,
( ~ sQ23_spl
| op(e1,e1) = e3 ),
inference(component_clause,[status(thm)],[f755]) ).
fof(f758,plain,
( sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f35,f746,f749,f752,f755]) ).
fof(f759,definition,
( sQ24_spl
<=> op(e1,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f760,plain,
( ~ sQ24_spl
| op(e1,e2) = e0 ),
inference(component_clause,[status(thm)],[f759]) ).
fof(f762,definition,
( sQ25_spl
<=> op(e1,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f763,plain,
( ~ sQ25_spl
| op(e1,e2) = e1 ),
inference(component_clause,[status(thm)],[f762]) ).
fof(f765,definition,
( sQ26_spl
<=> op(e1,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f766,plain,
( ~ sQ26_spl
| op(e1,e2) = e2 ),
inference(component_clause,[status(thm)],[f765]) ).
fof(f768,definition,
( sQ27_spl
<=> op(e1,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f769,plain,
( ~ sQ27_spl
| op(e1,e2) = e3 ),
inference(component_clause,[status(thm)],[f768]) ).
fof(f771,plain,
( sQ27_spl
| sQ26_spl
| sQ25_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f36,f759,f762,f765,f768]) ).
fof(f772,definition,
( sQ28_spl
<=> op(e1,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f773,plain,
( ~ sQ28_spl
| op(e1,e3) = e0 ),
inference(component_clause,[status(thm)],[f772]) ).
fof(f775,definition,
( sQ29_spl
<=> op(e1,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f776,plain,
( ~ sQ29_spl
| op(e1,e3) = e1 ),
inference(component_clause,[status(thm)],[f775]) ).
fof(f778,definition,
( sQ30_spl
<=> op(e1,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f779,plain,
( ~ sQ30_spl
| op(e1,e3) = e2 ),
inference(component_clause,[status(thm)],[f778]) ).
fof(f781,definition,
( sQ31_spl
<=> op(e1,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f782,plain,
( ~ sQ31_spl
| op(e1,e3) = e3 ),
inference(component_clause,[status(thm)],[f781]) ).
fof(f784,plain,
( sQ31_spl
| sQ30_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f37,f772,f775,f778,f781]) ).
fof(f785,definition,
( sQ32_spl
<=> op(e2,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f786,plain,
( ~ sQ32_spl
| op(e2,e0) = e0 ),
inference(component_clause,[status(thm)],[f785]) ).
fof(f788,definition,
( sQ33_spl
<=> op(e2,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f789,plain,
( ~ sQ33_spl
| op(e2,e0) = e1 ),
inference(component_clause,[status(thm)],[f788]) ).
fof(f791,definition,
( sQ34_spl
<=> op(e2,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f792,plain,
( ~ sQ34_spl
| op(e2,e0) = e2 ),
inference(component_clause,[status(thm)],[f791]) ).
fof(f794,definition,
( sQ35_spl
<=> op(e2,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f795,plain,
( ~ sQ35_spl
| op(e2,e0) = e3 ),
inference(component_clause,[status(thm)],[f794]) ).
fof(f797,plain,
( sQ35_spl
| sQ34_spl
| sQ33_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f38,f785,f788,f791,f794]) ).
fof(f798,definition,
( sQ36_spl
<=> op(e2,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f799,plain,
( ~ sQ36_spl
| op(e2,e1) = e0 ),
inference(component_clause,[status(thm)],[f798]) ).
fof(f801,definition,
( sQ37_spl
<=> op(e2,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f802,plain,
( ~ sQ37_spl
| op(e2,e1) = e1 ),
inference(component_clause,[status(thm)],[f801]) ).
fof(f804,definition,
( sQ38_spl
<=> op(e2,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f805,plain,
( ~ sQ38_spl
| op(e2,e1) = e2 ),
inference(component_clause,[status(thm)],[f804]) ).
fof(f807,definition,
( sQ39_spl
<=> op(e2,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f808,plain,
( ~ sQ39_spl
| op(e2,e1) = e3 ),
inference(component_clause,[status(thm)],[f807]) ).
fof(f810,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f39,f798,f801,f804,f807]) ).
fof(f811,definition,
( sQ40_spl
<=> op(e2,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f812,plain,
( ~ sQ40_spl
| op(e2,e2) = e0 ),
inference(component_clause,[status(thm)],[f811]) ).
fof(f814,definition,
( sQ41_spl
<=> op(e2,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f815,plain,
( ~ sQ41_spl
| op(e2,e2) = e1 ),
inference(component_clause,[status(thm)],[f814]) ).
fof(f817,definition,
( sQ42_spl
<=> op(e2,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f820,definition,
( sQ43_spl
<=> op(e2,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f821,plain,
( ~ sQ43_spl
| op(e2,e2) = e3 ),
inference(component_clause,[status(thm)],[f820]) ).
fof(f823,plain,
( sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f40,f811,f814,f817,f820]) ).
fof(f824,definition,
( sQ44_spl
<=> op(e2,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f825,plain,
( ~ sQ44_spl
| op(e2,e3) = e0 ),
inference(component_clause,[status(thm)],[f824]) ).
fof(f827,definition,
( sQ45_spl
<=> op(e2,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f828,plain,
( ~ sQ45_spl
| op(e2,e3) = e1 ),
inference(component_clause,[status(thm)],[f827]) ).
fof(f830,definition,
( sQ46_spl
<=> op(e2,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f831,plain,
( ~ sQ46_spl
| op(e2,e3) = e2 ),
inference(component_clause,[status(thm)],[f830]) ).
fof(f833,definition,
( sQ47_spl
<=> op(e2,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f836,plain,
( sQ47_spl
| sQ46_spl
| sQ45_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f41,f824,f827,f830,f833]) ).
fof(f837,definition,
( sQ48_spl
<=> op(e3,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f838,plain,
( ~ sQ48_spl
| op(e3,e0) = e0 ),
inference(component_clause,[status(thm)],[f837]) ).
fof(f840,definition,
( sQ49_spl
<=> op(e3,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f841,plain,
( ~ sQ49_spl
| op(e3,e0) = e1 ),
inference(component_clause,[status(thm)],[f840]) ).
fof(f843,definition,
( sQ50_spl
<=> op(e3,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f844,plain,
( ~ sQ50_spl
| op(e3,e0) = e2 ),
inference(component_clause,[status(thm)],[f843]) ).
fof(f846,definition,
( sQ51_spl
<=> op(e3,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f847,plain,
( ~ sQ51_spl
| op(e3,e0) = e3 ),
inference(component_clause,[status(thm)],[f846]) ).
fof(f849,plain,
( sQ51_spl
| sQ50_spl
| sQ49_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f42,f837,f840,f843,f846]) ).
fof(f850,definition,
( sQ52_spl
<=> op(e3,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f851,plain,
( ~ sQ52_spl
| op(e3,e1) = e0 ),
inference(component_clause,[status(thm)],[f850]) ).
fof(f853,definition,
( sQ53_spl
<=> op(e3,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f854,plain,
( ~ sQ53_spl
| op(e3,e1) = e1 ),
inference(component_clause,[status(thm)],[f853]) ).
fof(f856,definition,
( sQ54_spl
<=> op(e3,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f857,plain,
( ~ sQ54_spl
| op(e3,e1) = e2 ),
inference(component_clause,[status(thm)],[f856]) ).
fof(f859,definition,
( sQ55_spl
<=> op(e3,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f860,plain,
( ~ sQ55_spl
| op(e3,e1) = e3 ),
inference(component_clause,[status(thm)],[f859]) ).
fof(f862,plain,
( sQ55_spl
| sQ54_spl
| sQ53_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f43,f850,f853,f856,f859]) ).
fof(f863,definition,
( sQ56_spl
<=> op(e3,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f864,plain,
( ~ sQ56_spl
| op(e3,e2) = e0 ),
inference(component_clause,[status(thm)],[f863]) ).
fof(f866,definition,
( sQ57_spl
<=> op(e3,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f867,plain,
( ~ sQ57_spl
| op(e3,e2) = e1 ),
inference(component_clause,[status(thm)],[f866]) ).
fof(f869,definition,
( sQ58_spl
<=> op(e3,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f870,plain,
( ~ sQ58_spl
| op(e3,e2) = e2 ),
inference(component_clause,[status(thm)],[f869]) ).
fof(f872,definition,
( sQ59_spl
<=> op(e3,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f873,plain,
( ~ sQ59_spl
| op(e3,e2) = e3 ),
inference(component_clause,[status(thm)],[f872]) ).
fof(f875,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f44,f863,f866,f869,f872]) ).
fof(f876,definition,
( sQ60_spl
<=> op(e3,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f877,plain,
( ~ sQ60_spl
| op(e3,e3) = e0 ),
inference(component_clause,[status(thm)],[f876]) ).
fof(f879,definition,
( sQ61_spl
<=> op(e3,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f880,plain,
( ~ sQ61_spl
| op(e3,e3) = e1 ),
inference(component_clause,[status(thm)],[f879]) ).
fof(f882,definition,
( sQ62_spl
<=> op(e3,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f883,plain,
( ~ sQ62_spl
| op(e3,e3) = e2 ),
inference(component_clause,[status(thm)],[f882]) ).
fof(f885,definition,
( sQ63_spl
<=> op(e3,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f886,plain,
( ~ sQ63_spl
| op(e3,e3) = e3 ),
inference(component_clause,[status(thm)],[f885]) ).
fof(f888,plain,
( sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f45,f876,f879,f882,f885]) ).
fof(f889,plain,
( sQ12_spl
| sQ8_spl
| sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f46,f681,f694,f707,f720]) ).
fof(f890,plain,
( sQ48_spl
| sQ32_spl
| sQ16_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f47,f681,f733,f785,f837]) ).
fof(f891,plain,
( sQ13_spl
| sQ9_spl
| sQ5_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f48,f684,f697,f710,f723]) ).
fof(f892,plain,
( sQ49_spl
| sQ33_spl
| sQ17_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f49,f684,f736,f788,f840]) ).
fof(f893,plain,
( sQ14_spl
| sQ10_spl
| sQ6_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f50,f687,f700,f713,f726]) ).
fof(f894,plain,
( sQ50_spl
| sQ34_spl
| sQ18_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f51,f687,f739,f791,f843]) ).
fof(f895,plain,
( sQ15_spl
| sQ11_spl
| sQ7_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f52,f690,f703,f716,f729]) ).
fof(f896,plain,
( sQ51_spl
| sQ35_spl
| sQ19_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f53,f690,f742,f794,f846]) ).
fof(f897,plain,
( sQ28_spl
| sQ24_spl
| sQ20_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f54,f733,f746,f759,f772]) ).
fof(f898,plain,
( sQ52_spl
| sQ36_spl
| sQ20_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f55,f694,f746,f798,f850]) ).
fof(f899,plain,
( sQ29_spl
| sQ25_spl
| sQ21_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f56,f736,f749,f762,f775]) ).
fof(f901,plain,
( sQ30_spl
| sQ26_spl
| sQ22_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f58,f739,f752,f765,f778]) ).
fof(f902,plain,
( sQ54_spl
| sQ38_spl
| sQ22_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f59,f700,f752,f804,f856]) ).
fof(f903,plain,
( sQ31_spl
| sQ27_spl
| sQ23_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f60,f742,f755,f768,f781]) ).
fof(f904,plain,
( sQ55_spl
| sQ39_spl
| sQ23_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f61,f703,f755,f807,f859]) ).
fof(f905,plain,
( sQ44_spl
| sQ40_spl
| sQ36_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f62,f785,f798,f811,f824]) ).
fof(f906,plain,
( sQ56_spl
| sQ40_spl
| sQ24_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f63,f707,f759,f811,f863]) ).
fof(f907,plain,
( sQ45_spl
| sQ41_spl
| sQ37_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f64,f788,f801,f814,f827]) ).
fof(f908,plain,
( sQ57_spl
| sQ41_spl
| sQ25_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f65,f710,f762,f814,f866]) ).
fof(f909,plain,
( sQ46_spl
| sQ42_spl
| sQ38_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f66,f791,f804,f817,f830]) ).
fof(f910,plain,
( sQ58_spl
| sQ42_spl
| sQ26_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f67,f713,f765,f817,f869]) ).
fof(f911,plain,
( sQ47_spl
| sQ43_spl
| sQ39_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f68,f794,f807,f820,f833]) ).
fof(f912,plain,
( sQ59_spl
| sQ43_spl
| sQ27_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f69,f716,f768,f820,f872]) ).
fof(f913,plain,
( sQ60_spl
| sQ56_spl
| sQ52_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f70,f837,f850,f863,f876]) ).
fof(f914,plain,
( sQ60_spl
| sQ44_spl
| sQ28_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f71,f720,f772,f824,f876]) ).
fof(f915,plain,
( sQ61_spl
| sQ57_spl
| sQ53_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f72,f840,f853,f866,f879]) ).
fof(f916,plain,
( sQ61_spl
| sQ45_spl
| sQ29_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f73,f723,f775,f827,f879]) ).
fof(f917,plain,
( sQ62_spl
| sQ58_spl
| sQ54_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f74,f843,f856,f869,f882]) ).
fof(f918,plain,
( sQ62_spl
| sQ46_spl
| sQ30_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f75,f726,f778,f830,f882]) ).
fof(f919,plain,
( sQ63_spl
| sQ59_spl
| sQ55_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f76,f846,f859,f872,f885]) ).
fof(f920,plain,
( sQ63_spl
| sQ47_spl
| sQ31_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f77,f729,f781,f833,f885]) ).
fof(f921,definition,
( sQ64_spl
<=> sP0_prd ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f924,plain,
( sQ63_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f135,f921,f885]) ).
fof(f925,plain,
( ~ sQ63_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f136,f921,f885]) ).
fof(f927,definition,
( sQ65_spl
<=> sP1_prd ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f930,plain,
( sQ63_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f138,f927,f885]) ).
fof(f932,plain,
( sQ12_spl
| ~ sQ3_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f140,f927,f690,f720]) ).
fof(f933,plain,
( sQ29_spl
| ~ sQ23_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f141,f927,f755,f775]) ).
fof(f934,plain,
( sQ46_spl
| ~ sQ43_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f142,f927,f820,f830]) ).
fof(f936,definition,
( sQ66_spl
<=> e0 = op(op(e1,op(e1,e1)),op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f938,plain,
( sQ66_spl
| e0 != op(op(e1,op(e1,e1)),op(e1,e1)) ),
inference(component_clause,[status(thm)],[f936]) ).
fof(f939,definition,
( sQ67_spl
<=> e2 = op(e1,op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f941,plain,
( sQ67_spl
| e2 != op(e1,op(e1,e1)) ),
inference(component_clause,[status(thm)],[f939]) ).
fof(f942,plain,
( ~ sQ23_spl
| ~ sQ67_spl
| ~ sQ66_spl ),
inference(split_clause,[status(thm)],[f145,f936,f939,f755]) ).
fof(f958,definition,
( sQ72_spl
<=> e0 = op(op(e3,op(e3,e3)),op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f960,plain,
( sQ72_spl
| e0 != op(op(e3,op(e3,e3)),op(e3,e3)) ),
inference(component_clause,[status(thm)],[f958]) ).
fof(f961,definition,
( sQ73_spl
<=> e1 = op(e3,op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f963,plain,
( sQ73_spl
| e1 != op(e3,op(e3,e3)) ),
inference(component_clause,[status(thm)],[f961]) ).
fof(f964,plain,
( ~ sQ62_spl
| ~ sQ73_spl
| ~ sQ72_spl ),
inference(split_clause,[status(thm)],[f153,f958,f961,f882]) ).
fof(f965,definition,
( sQ74_spl
<=> e2 = op(e3,op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f967,plain,
( sQ74_spl
| e2 != op(e3,op(e3,e3)) ),
inference(component_clause,[status(thm)],[f965]) ).
fof(f969,definition,
( sQ75_spl
<=> e1 = op(op(e0,op(e0,e0)),op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f971,plain,
( sQ75_spl
| e1 != op(op(e0,op(e0,e0)),op(e0,e0)) ),
inference(component_clause,[status(thm)],[f969]) ).
fof(f972,definition,
( sQ76_spl
<=> e2 = op(e0,op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f974,plain,
( sQ76_spl
| e2 != op(e0,op(e0,e0)) ),
inference(component_clause,[status(thm)],[f972]) ).
fof(f975,plain,
( ~ sQ3_spl
| ~ sQ76_spl
| ~ sQ75_spl ),
inference(split_clause,[status(thm)],[f157,f969,f972,f690]) ).
fof(f976,definition,
( sQ77_spl
<=> e3 = op(e0,op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f978,plain,
( sQ77_spl
| e3 != op(e0,op(e0,e0)) ),
inference(component_clause,[status(thm)],[f976]) ).
fof(f979,plain,
( ~ sQ2_spl
| ~ sQ77_spl
| ~ sQ75_spl ),
inference(split_clause,[status(thm)],[f159,f969,f976,f687]) ).
fof(f983,definition,
( sQ79_spl
<=> e0 = op(e2,op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f985,plain,
( sQ79_spl
| e0 != op(e2,op(e2,e2)) ),
inference(component_clause,[status(thm)],[f983]) ).
fof(f988,definition,
( sQ80_spl
<=> e1 = op(op(e3,op(e3,e3)),op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f990,plain,
( sQ80_spl
| e1 != op(op(e3,op(e3,e3)),op(e3,e3)) ),
inference(component_clause,[status(thm)],[f988]) ).
fof(f991,definition,
( sQ81_spl
<=> e0 = op(e3,op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f993,plain,
( sQ81_spl
| e0 != op(e3,op(e3,e3)) ),
inference(component_clause,[status(thm)],[f991]) ).
fof(f994,plain,
( ~ sQ62_spl
| ~ sQ81_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f165,f988,f991,f882]) ).
fof(f995,plain,
( ~ sQ60_spl
| ~ sQ74_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f167,f988,f965,f876]) ).
fof(f996,definition,
( sQ82_spl
<=> e2 = op(op(e0,op(e0,e0)),op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f998,plain,
( sQ82_spl
| e2 != op(op(e0,op(e0,e0)),op(e0,e0)) ),
inference(component_clause,[status(thm)],[f996]) ).
fof(f999,definition,
( sQ83_spl
<=> e1 = op(e0,op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f1001,plain,
( sQ83_spl
| e1 != op(e0,op(e0,e0)) ),
inference(component_clause,[status(thm)],[f999]) ).
fof(f1002,plain,
( ~ sQ3_spl
| ~ sQ83_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f169,f996,f999,f690]) ).
fof(f1004,definition,
( sQ84_spl
<=> e2 = op(op(e1,op(e1,e1)),op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f1006,plain,
( sQ84_spl
| e2 != op(op(e1,op(e1,e1)),op(e1,e1)) ),
inference(component_clause,[status(thm)],[f1004]) ).
fof(f1007,definition,
( sQ85_spl
<=> e0 = op(e1,op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f1009,plain,
( sQ85_spl
| e0 != op(e1,op(e1,e1)) ),
inference(component_clause,[status(thm)],[f1007]) ).
fof(f1010,plain,
( ~ sQ23_spl
| ~ sQ85_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f173,f1004,f1007,f755]) ).
fof(f1012,definition,
( sQ86_spl
<=> e2 = op(op(e3,op(e3,e3)),op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f1014,plain,
( sQ86_spl
| e2 != op(op(e3,op(e3,e3)),op(e3,e3)) ),
inference(component_clause,[status(thm)],[f1012]) ).
fof(f1015,plain,
( ~ sQ61_spl
| ~ sQ81_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f177,f1012,f991,f879]) ).
fof(f1016,plain,
( ~ sQ60_spl
| ~ sQ73_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f179,f1012,f961,f876]) ).
fof(f1017,definition,
( sQ87_spl
<=> e3 = op(op(e0,op(e0,e0)),op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f1019,plain,
( sQ87_spl
| e3 != op(op(e0,op(e0,e0)),op(e0,e0)) ),
inference(component_clause,[status(thm)],[f1017]) ).
fof(f1020,plain,
( ~ sQ2_spl
| ~ sQ83_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f181,f1017,f999,f687]) ).
fof(f1021,plain,
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f183,f1017,f972,f684]) ).
fof(f1022,definition,
( sQ88_spl
<=> e3 = op(op(e1,op(e1,e1)),op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f1025,plain,
( ~ sQ22_spl
| ~ sQ85_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f185,f1022,f1007,f752]) ).
fof(f1027,definition,
( sQ89_spl
<=> e3 = op(op(e2,op(e2,e2)),op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f1029,plain,
( sQ89_spl
| e3 != op(op(e2,op(e2,e2)),op(e2,e2)) ),
inference(component_clause,[status(thm)],[f1027]) ).
fof(f1030,plain,
( ~ sQ41_spl
| ~ sQ79_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f189,f1027,f983,f814]) ).
fof(f1032,definition,
( sQ90_spl
<=> sP2_prd ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f1035,plain,
( sQ59_spl
| sQ90_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f195,f921,f1032,f872]) ).
fof(f1036,plain,
( ~ sQ62_spl
| sQ90_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f196,f921,f1032,f882]) ).
fof(f1037,plain,
( sQ46_spl
| sQ90_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f197,f921,f1032,f830]) ).
fof(f1038,plain,
( ~ sQ90_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f198,f921,f1032]) ).
fof(f1039,plain,
( ~ sQ46_spl
| sQ62_spl
| ~ sQ59_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f199,f921,f872,f882,f830]) ).
fof(f1040,definition,
( sQ91_spl
<=> sP3_prd ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f1043,plain,
( sQ59_spl
| sQ91_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f206,f927,f1040,f872]) ).
fof(f1044,plain,
( sQ47_spl
| sQ91_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f207,f927,f1040,f833]) ).
fof(f1045,definition,
( sQ92_spl
<=> sP4_prd ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f1048,plain,
( sQ92_spl
| sQ91_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f208,f927,f1040,f1045]) ).
fof(f1049,definition,
( sQ93_spl
<=> sP5_prd ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f1052,plain,
( sQ93_spl
| sQ91_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f209,f927,f1040,f1049]) ).
fof(f1053,plain,
( sQ46_spl
| ~ sQ43_spl
| sQ91_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f210,f927,f1040,f820,f830]) ).
fof(f1055,plain,
( ~ sQ91_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f212,f927,f1040]) ).
fof(f1060,definition,
( sQ94_spl
<=> sP6_prd ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f1063,plain,
( sQ55_spl
| sQ94_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f220,f1032,f1060,f859]) ).
fof(f1064,plain,
( ~ sQ61_spl
| sQ94_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f221,f1032,f1060,f879]) ).
fof(f1065,plain,
( sQ29_spl
| sQ94_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f222,f1032,f1060,f775]) ).
fof(f1066,plain,
( ~ sQ94_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f223,f1032,f1060]) ).
fof(f1068,definition,
( sQ95_spl
<=> sP7_prd ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f1071,plain,
( sQ55_spl
| sQ95_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f231,f1040,f1068,f859]) ).
fof(f1072,plain,
( sQ31_spl
| sQ95_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f232,f1040,f1068,f781]) ).
fof(f1073,definition,
( sQ96_spl
<=> sP8_prd ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f1076,plain,
( sQ96_spl
| sQ95_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f233,f1040,f1068,f1073]) ).
fof(f1077,definition,
( sQ97_spl
<=> sP9_prd ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f1081,plain,
( sQ46_spl
| ~ sQ43_spl
| sQ95_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f235,f1040,f1068,f820,f830]) ).
fof(f1083,plain,
( ~ sQ95_spl
| sQ91_spl ),
inference(split_clause,[status(thm)],[f237,f1040,f1068]) ).
fof(f1088,plain,
( sQ12_spl
| ~ sQ3_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f243,f1045,f690,f720]) ).
fof(f1089,plain,
( sQ3_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f244,f1045,f690]) ).
fof(f1090,plain,
( ~ sQ12_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f245,f1045,f720]) ).
fof(f1091,plain,
( sQ29_spl
| ~ sQ23_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f247,f1049,f755,f775]) ).
fof(f1092,plain,
( sQ23_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f248,f1049,f755]) ).
fof(f1093,plain,
( ~ sQ29_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f249,f1049,f775]) ).
fof(f1094,definition,
( sQ98_spl
<=> sP10_prd ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f1097,plain,
( sQ51_spl
| sQ98_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f253,f1060,f1094,f846]) ).
fof(f1098,plain,
( ~ sQ60_spl
| sQ98_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f254,f1060,f1094,f876]) ).
fof(f1099,plain,
( sQ12_spl
| sQ98_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f255,f1060,f1094,f720]) ).
fof(f1100,plain,
( ~ sQ98_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f256,f1060,f1094]) ).
fof(f1102,definition,
( sQ99_spl
<=> sP11_prd ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f1105,plain,
( sQ51_spl
| sQ99_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f264,f1068,f1102,f846]) ).
fof(f1106,plain,
( sQ15_spl
| sQ99_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f265,f1068,f1102,f729]) ).
fof(f1107,definition,
( sQ100_spl
<=> sP12_prd ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f1111,definition,
( sQ101_spl
<=> sP13_prd ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f1114,plain,
( sQ101_spl
| sQ99_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f267,f1068,f1102,f1111]) ).
fof(f1115,plain,
( sQ46_spl
| ~ sQ43_spl
| sQ99_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f268,f1068,f1102,f820,f830]) ).
fof(f1117,plain,
( ~ sQ99_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f270,f1068,f1102]) ).
fof(f1122,plain,
( sQ12_spl
| ~ sQ3_spl
| ~ sQ96_spl ),
inference(split_clause,[status(thm)],[f276,f1073,f690,f720]) ).
fof(f1123,plain,
( sQ3_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f277,f1073,f690]) ).
fof(f1124,plain,
( ~ sQ12_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f278,f1073,f720]) ).
fof(f1125,plain,
( sQ29_spl
| ~ sQ23_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f280,f1077,f755,f775]) ).
fof(f1126,plain,
( sQ23_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f281,f1077,f755]) ).
fof(f1127,plain,
( ~ sQ29_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f282,f1077,f775]) ).
fof(f1128,definition,
( sQ102_spl
<=> sP14_prd ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f1131,plain,
( sQ46_spl
| sQ102_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f286,f1094,f1128,f830]) ).
fof(f1132,plain,
( ~ sQ43_spl
| sQ102_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f287,f1094,f1128,f820]) ).
fof(f1133,plain,
( sQ59_spl
| sQ102_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f288,f1094,f1128,f872]) ).
fof(f1134,plain,
( ~ sQ102_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f289,f1094,f1128]) ).
fof(f1135,plain,
( ~ sQ59_spl
| sQ43_spl
| ~ sQ46_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f290,f1094,f830,f820,f872]) ).
fof(f1136,definition,
( sQ103_spl
<=> sP15_prd ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f1139,plain,
( sQ46_spl
| sQ103_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f297,f1102,f1136,f830]) ).
fof(f1140,plain,
( sQ58_spl
| sQ103_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f298,f1102,f1136,f869]) ).
fof(f1141,definition,
( sQ104_spl
<=> sP16_prd ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f1144,plain,
( sQ104_spl
| sQ103_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f299,f1102,f1136,f1141]) ).
fof(f1145,definition,
( sQ105_spl
<=> sP17_prd ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f1148,plain,
( sQ105_spl
| sQ103_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f300,f1102,f1136,f1145]) ).
fof(f1151,plain,
( ~ sQ103_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f303,f1102,f1136]) ).
fof(f1156,plain,
( sQ12_spl
| ~ sQ3_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f309,f1107,f690,f720]) ).
fof(f1157,plain,
( sQ3_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f310,f1107,f690]) ).
fof(f1158,plain,
( ~ sQ12_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f311,f1107,f720]) ).
fof(f1159,plain,
( sQ29_spl
| ~ sQ23_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f313,f1111,f755,f775]) ).
fof(f1160,plain,
( sQ23_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f314,f1111,f755]) ).
fof(f1161,plain,
( ~ sQ29_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f315,f1111,f775]) ).
fof(f1162,definition,
( sQ106_spl
<=> sP18_prd ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f1165,plain,
( sQ42_spl
| sQ106_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f319,f1128,f1162,f817]) ).
fof(f1166,plain,
( ~ sQ42_spl
| sQ106_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f320,f1128,f1162,f817]) ).
fof(f1168,plain,
( ~ sQ106_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f322,f1128,f1162]) ).
fof(f1170,definition,
( sQ107_spl
<=> sP19_prd ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f1173,plain,
( sQ42_spl
| sQ107_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f330,f1136,f1170,f817]) ).
fof(f1175,definition,
( sQ108_spl
<=> sP20_prd ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f1178,plain,
( sQ108_spl
| sQ107_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f332,f1136,f1170,f1175]) ).
fof(f1179,definition,
( sQ109_spl
<=> sP21_prd ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f1182,plain,
( sQ109_spl
| sQ107_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f333,f1136,f1170,f1179]) ).
fof(f1184,plain,
( sQ59_spl
| ~ sQ62_spl
| sQ107_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f335,f1136,f1170,f882,f872]) ).
fof(f1185,plain,
( ~ sQ107_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f336,f1136,f1170]) ).
fof(f1188,plain,
( sQ62_spl
| ~ sQ109_spl
| ~ sQ108_spl
| ~ sQ42_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f339,f1136,f817,f1175,f1179,f882]) ).
fof(f1189,plain,
( ~ sQ59_spl
| ~ sQ109_spl
| ~ sQ108_spl
| ~ sQ42_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f340,f1136,f817,f1175,f1179,f872]) ).
fof(f1190,plain,
( sQ8_spl
| ~ sQ2_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f342,f1141,f687,f707]) ).
fof(f1191,plain,
( sQ2_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f343,f1141,f687]) ).
fof(f1192,plain,
( ~ sQ8_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f344,f1141,f707]) ).
fof(f1193,plain,
( sQ25_spl
| ~ sQ22_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f346,f1145,f752,f762]) ).
fof(f1194,plain,
( sQ22_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f347,f1145,f752]) ).
fof(f1195,plain,
( ~ sQ25_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f348,f1145,f762]) ).
fof(f1196,definition,
( sQ110_spl
<=> sP22_prd ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f1199,plain,
( sQ38_spl
| sQ110_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f352,f1162,f1196,f804]) ).
fof(f1200,plain,
( ~ sQ41_spl
| sQ110_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f353,f1162,f1196,f814]) ).
fof(f1201,plain,
( sQ25_spl
| sQ110_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f354,f1162,f1196,f762]) ).
fof(f1202,plain,
( ~ sQ110_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f355,f1162,f1196]) ).
fof(f1203,plain,
( ~ sQ25_spl
| sQ41_spl
| ~ sQ38_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f356,f1162,f804,f814,f762]) ).
fof(f1204,definition,
( sQ111_spl
<=> sP23_prd ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f1207,plain,
( sQ38_spl
| sQ111_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f363,f1170,f1204,f804]) ).
fof(f1208,plain,
( sQ26_spl
| sQ111_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f364,f1170,f1204,f765]) ).
fof(f1209,definition,
( sQ112_spl
<=> sP24_prd ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f1212,plain,
( sQ112_spl
| sQ111_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f365,f1170,f1204,f1209]) ).
fof(f1213,definition,
( sQ113_spl
<=> sP25_prd ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f1218,plain,
( sQ59_spl
| ~ sQ62_spl
| sQ111_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f368,f1170,f1204,f882,f872]) ).
fof(f1219,plain,
( ~ sQ111_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f369,f1170,f1204]) ).
fof(f1220,plain,
( sQ62_spl
| sQ42_spl
| ~ sQ113_spl
| ~ sQ112_spl
| ~ sQ26_spl
| ~ sQ38_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f370,f1170,f804,f765,f1209,f1213,f817,f882]) ).
fof(f1224,plain,
( sQ8_spl
| ~ sQ2_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f375,f1175,f687,f707]) ).
fof(f1225,plain,
( sQ2_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f376,f1175,f687]) ).
fof(f1226,plain,
( ~ sQ8_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f377,f1175,f707]) ).
fof(f1227,plain,
( sQ25_spl
| ~ sQ22_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f379,f1179,f752,f762]) ).
fof(f1228,plain,
( sQ22_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f380,f1179,f752]) ).
fof(f1229,plain,
( ~ sQ25_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f381,f1179,f762]) ).
fof(f1230,definition,
( sQ114_spl
<=> sP26_prd ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f1233,plain,
( sQ34_spl
| sQ114_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f385,f1196,f1230,f791]) ).
fof(f1234,plain,
( ~ sQ40_spl
| sQ114_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f386,f1196,f1230,f811]) ).
fof(f1235,plain,
( sQ8_spl
| sQ114_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f387,f1196,f1230,f707]) ).
fof(f1236,plain,
( ~ sQ114_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f388,f1196,f1230]) ).
fof(f1237,plain,
( ~ sQ8_spl
| sQ40_spl
| ~ sQ34_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f389,f1196,f791,f811,f707]) ).
fof(f1238,definition,
( sQ115_spl
<=> sP27_prd ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f1241,plain,
( sQ34_spl
| sQ115_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f396,f1204,f1238,f791]) ).
fof(f1242,plain,
( sQ10_spl
| sQ115_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f397,f1204,f1238,f713]) ).
fof(f1243,definition,
( sQ116_spl
<=> sP28_prd ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f1247,definition,
( sQ117_spl
<=> sP29_prd ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f1250,plain,
( sQ117_spl
| sQ115_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f399,f1204,f1238,f1247]) ).
fof(f1252,plain,
( sQ59_spl
| ~ sQ62_spl
| sQ115_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f401,f1204,f1238,f882,f872]) ).
fof(f1253,plain,
( ~ sQ115_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f402,f1204,f1238]) ).
fof(f1254,plain,
( sQ62_spl
| sQ42_spl
| ~ sQ117_spl
| ~ sQ116_spl
| ~ sQ10_spl
| ~ sQ34_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f403,f1204,f791,f713,f1243,f1247,f817,f882]) ).
fof(f1255,plain,
( ~ sQ59_spl
| sQ42_spl
| ~ sQ117_spl
| ~ sQ116_spl
| ~ sQ10_spl
| ~ sQ34_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f404,f1204,f791,f713,f1243,f1247,f817,f872]) ).
fof(f1258,plain,
( sQ8_spl
| ~ sQ2_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f408,f1209,f687,f707]) ).
fof(f1259,plain,
( sQ2_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f409,f1209,f687]) ).
fof(f1260,plain,
( ~ sQ8_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f410,f1209,f707]) ).
fof(f1261,plain,
( sQ25_spl
| ~ sQ22_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f412,f1213,f752,f762]) ).
fof(f1262,plain,
( sQ22_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f413,f1213,f752]) ).
fof(f1263,plain,
( ~ sQ25_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f414,f1213,f762]) ).
fof(f1264,definition,
( sQ118_spl
<=> sP30_prd ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f1267,plain,
( sQ29_spl
| sQ118_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f418,f1230,f1264,f775]) ).
fof(f1268,plain,
( ~ sQ23_spl
| sQ118_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f419,f1230,f1264,f755]) ).
fof(f1269,plain,
( sQ55_spl
| sQ118_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f420,f1230,f1264,f859]) ).
fof(f1270,plain,
( ~ sQ118_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f421,f1230,f1264]) ).
fof(f1271,plain,
( ~ sQ55_spl
| sQ23_spl
| ~ sQ29_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f422,f1230,f775,f755,f859]) ).
fof(f1272,definition,
( sQ119_spl
<=> sP31_prd ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f1275,plain,
( sQ29_spl
| sQ119_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f429,f1238,f1272,f775]) ).
fof(f1276,plain,
( sQ53_spl
| sQ119_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f430,f1238,f1272,f853]) ).
fof(f1277,definition,
( sQ120_spl
<=> sP32_prd ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f1280,plain,
( sQ120_spl
| sQ119_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f431,f1238,f1272,f1277]) ).
fof(f1281,definition,
( sQ121_spl
<=> sP33_prd ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f1285,plain,
( sQ38_spl
| ~ sQ41_spl
| sQ119_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f433,f1238,f1272,f814,f804]) ).
fof(f1287,plain,
( ~ sQ119_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f435,f1238,f1272]) ).
fof(f1288,plain,
( sQ61_spl
| sQ41_spl
| ~ sQ121_spl
| ~ sQ120_spl
| ~ sQ53_spl
| ~ sQ29_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f436,f1238,f775,f853,f1277,f1281,f814,f879]) ).
fof(f1290,plain,
( sQ61_spl
| ~ sQ38_spl
| ~ sQ121_spl
| ~ sQ120_spl
| ~ sQ53_spl
| ~ sQ29_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f438,f1238,f775,f853,f1277,f1281,f804,f879]) ).
fof(f1292,plain,
( sQ8_spl
| ~ sQ2_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f441,f1243,f687,f707]) ).
fof(f1293,plain,
( sQ2_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f442,f1243,f687]) ).
fof(f1294,plain,
( ~ sQ8_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f443,f1243,f707]) ).
fof(f1295,plain,
( sQ25_spl
| ~ sQ22_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f445,f1247,f752,f762]) ).
fof(f1296,plain,
( sQ22_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f446,f1247,f752]) ).
fof(f1297,plain,
( ~ sQ25_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f447,f1247,f762]) ).
fof(f1298,definition,
( sQ122_spl
<=> sP34_prd ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f1301,plain,
( sQ25_spl
| sQ122_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f451,f1264,f1298,f762]) ).
fof(f1302,plain,
( ~ sQ22_spl
| sQ122_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f452,f1264,f1298,f752]) ).
fof(f1303,plain,
( sQ38_spl
| sQ122_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f453,f1264,f1298,f804]) ).
fof(f1304,plain,
( ~ sQ122_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f454,f1264,f1298]) ).
fof(f1305,plain,
( ~ sQ38_spl
| sQ22_spl
| ~ sQ25_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f455,f1264,f762,f752,f804]) ).
fof(f1306,definition,
( sQ123_spl
<=> sP35_prd ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f1309,plain,
( sQ25_spl
| sQ123_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f462,f1272,f1306,f762]) ).
fof(f1310,plain,
( sQ37_spl
| sQ123_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f463,f1272,f1306,f801]) ).
fof(f1311,definition,
( sQ124_spl
<=> sP36_prd ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f1314,plain,
( sQ124_spl
| sQ123_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f464,f1272,f1306,f1311]) ).
fof(f1315,definition,
( sQ125_spl
<=> sP37_prd ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f1319,plain,
( sQ38_spl
| ~ sQ41_spl
| sQ123_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f466,f1272,f1306,f814,f804]) ).
fof(f1320,plain,
( sQ55_spl
| ~ sQ61_spl
| sQ123_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f467,f1272,f1306,f879,f859]) ).
fof(f1321,plain,
( ~ sQ123_spl
| sQ119_spl ),
inference(split_clause,[status(thm)],[f468,f1272,f1306]) ).
fof(f1322,plain,
( sQ61_spl
| sQ41_spl
| ~ sQ125_spl
| ~ sQ124_spl
| ~ sQ37_spl
| ~ sQ25_spl
| sQ119_spl ),
inference(split_clause,[status(thm)],[f469,f1272,f762,f801,f1311,f1315,f814,f879]) ).
fof(f1323,plain,
( ~ sQ55_spl
| sQ41_spl
| ~ sQ125_spl
| ~ sQ124_spl
| ~ sQ37_spl
| ~ sQ25_spl
| sQ119_spl ),
inference(split_clause,[status(thm)],[f470,f1272,f762,f801,f1311,f1315,f814,f859]) ).
fof(f1326,plain,
( sQ4_spl
| ~ sQ1_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f474,f1277,f684,f694]) ).
fof(f1327,plain,
( sQ1_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f475,f1277,f684]) ).
fof(f1328,plain,
( ~ sQ4_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f476,f1277,f694]) ).
fof(f1330,plain,
( sQ21_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f479,f1281,f749]) ).
fof(f1331,plain,
( ~ sQ21_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f480,f1281,f749]) ).
fof(f1332,definition,
( sQ126_spl
<=> sP38_prd ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f1335,plain,
( sQ21_spl
| sQ126_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f484,f1298,f1332,f749]) ).
fof(f1336,plain,
( ~ sQ21_spl
| sQ126_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f485,f1298,f1332,f749]) ).
fof(f1338,plain,
( ~ sQ126_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f487,f1298,f1332]) ).
fof(f1340,definition,
( sQ127_spl
<=> sP39_prd ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f1343,plain,
( sQ21_spl
| sQ127_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f495,f1306,f1340,f749]) ).
fof(f1345,definition,
( sQ128_spl
<=> sP40_prd ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f1348,plain,
( sQ128_spl
| sQ127_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f497,f1306,f1340,f1345]) ).
fof(f1349,definition,
( sQ129_spl
<=> sP41_prd ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f1353,plain,
( sQ38_spl
| ~ sQ41_spl
| sQ127_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f499,f1306,f1340,f814,f804]) ).
fof(f1354,plain,
( sQ55_spl
| ~ sQ61_spl
| sQ127_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f500,f1306,f1340,f879,f859]) ).
fof(f1355,plain,
( ~ sQ127_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f501,f1306,f1340]) ).
fof(f1356,plain,
( sQ61_spl
| sQ41_spl
| ~ sQ129_spl
| ~ sQ128_spl
| ~ sQ21_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f502,f1306,f749,f1345,f1349,f814,f879]) ).
fof(f1358,plain,
( sQ61_spl
| ~ sQ38_spl
| ~ sQ129_spl
| ~ sQ128_spl
| ~ sQ21_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f504,f1306,f749,f1345,f1349,f804,f879]) ).
fof(f1359,plain,
( ~ sQ55_spl
| ~ sQ38_spl
| ~ sQ129_spl
| ~ sQ128_spl
| ~ sQ21_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f505,f1306,f749,f1345,f1349,f804,f859]) ).
fof(f1360,plain,
( sQ4_spl
| ~ sQ1_spl
| ~ sQ124_spl ),
inference(split_clause,[status(thm)],[f507,f1311,f684,f694]) ).
fof(f1361,plain,
( sQ1_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f508,f1311,f684]) ).
fof(f1362,plain,
( ~ sQ4_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f509,f1311,f694]) ).
fof(f1364,plain,
( sQ21_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f512,f1315,f749]) ).
fof(f1365,plain,
( ~ sQ21_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f513,f1315,f749]) ).
fof(f1366,definition,
( sQ130_spl
<=> sP42_prd ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f1369,plain,
( sQ17_spl
| sQ130_spl
| ~ sQ126_spl ),
inference(split_clause,[status(thm)],[f517,f1332,f1366,f736]) ).
fof(f1370,plain,
( ~ sQ20_spl
| sQ130_spl
| ~ sQ126_spl ),
inference(split_clause,[status(thm)],[f518,f1332,f1366,f746]) ).
fof(f1371,plain,
( sQ4_spl
| sQ130_spl
| ~ sQ126_spl ),
inference(split_clause,[status(thm)],[f519,f1332,f1366,f694]) ).
fof(f1372,plain,
( ~ sQ130_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f520,f1332,f1366]) ).
fof(f1374,definition,
( sQ131_spl
<=> sP43_prd ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f1377,plain,
( sQ17_spl
| sQ131_spl
| ~ sQ127_spl ),
inference(split_clause,[status(thm)],[f528,f1340,f1374,f736]) ).
fof(f1378,plain,
( sQ5_spl
| sQ131_spl
| ~ sQ127_spl ),
inference(split_clause,[status(thm)],[f529,f1340,f1374,f697]) ).
fof(f1379,definition,
( sQ132_spl
<=> sP44_prd ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f1382,plain,
( sQ132_spl
| sQ131_spl
| ~ sQ127_spl ),
inference(split_clause,[status(thm)],[f530,f1340,f1374,f1379]) ).
fof(f1383,definition,
( sQ133_spl
<=> sP45_prd ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f1387,plain,
( sQ38_spl
| ~ sQ41_spl
| sQ131_spl
| ~ sQ127_spl ),
inference(split_clause,[status(thm)],[f532,f1340,f1374,f814,f804]) ).
fof(f1388,plain,
( sQ55_spl
| ~ sQ61_spl
| sQ131_spl
| ~ sQ127_spl ),
inference(split_clause,[status(thm)],[f533,f1340,f1374,f879,f859]) ).
fof(f1389,plain,
( ~ sQ131_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f534,f1340,f1374]) ).
fof(f1390,plain,
( sQ61_spl
| sQ41_spl
| ~ sQ133_spl
| ~ sQ132_spl
| ~ sQ5_spl
| ~ sQ17_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f535,f1340,f736,f697,f1379,f1383,f814,f879]) ).
fof(f1393,plain,
( ~ sQ55_spl
| ~ sQ38_spl
| ~ sQ133_spl
| ~ sQ132_spl
| ~ sQ5_spl
| ~ sQ17_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f538,f1340,f736,f697,f1379,f1383,f804,f859]) ).
fof(f1394,plain,
( sQ4_spl
| ~ sQ1_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f540,f1345,f684,f694]) ).
fof(f1395,plain,
( sQ1_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f541,f1345,f684]) ).
fof(f1396,plain,
( ~ sQ4_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f542,f1345,f694]) ).
fof(f1398,plain,
( sQ21_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f545,f1349,f749]) ).
fof(f1399,plain,
( ~ sQ21_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f546,f1349,f749]) ).
fof(f1400,definition,
( sQ134_spl
<=> sP46_prd ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f1403,plain,
( sQ12_spl
| sQ134_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f550,f1366,f1400,f720]) ).
fof(f1404,plain,
( ~ sQ3_spl
| sQ134_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f551,f1366,f1400,f690]) ).
fof(f1405,plain,
( sQ51_spl
| sQ134_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f552,f1366,f1400,f846]) ).
fof(f1406,plain,
( ~ sQ134_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f553,f1366,f1400]) ).
fof(f1407,plain,
( ~ sQ51_spl
| sQ3_spl
| ~ sQ12_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f554,f1366,f720,f690,f846]) ).
fof(f1408,definition,
( sQ135_spl
<=> sP47_prd ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f1411,plain,
( sQ12_spl
| sQ135_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f561,f1374,f1408,f720]) ).
fof(f1412,plain,
( sQ48_spl
| sQ135_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f562,f1374,f1408,f837]) ).
fof(f1413,definition,
( sQ136_spl
<=> sP48_prd ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f1417,definition,
( sQ137_spl
<=> sP49_prd ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f1420,plain,
( sQ137_spl
| sQ135_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f564,f1374,f1408,f1417]) ).
fof(f1421,plain,
( sQ34_spl
| ~ sQ40_spl
| sQ135_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f565,f1374,f1408,f811,f791]) ).
fof(f1422,plain,
( sQ51_spl
| ~ sQ60_spl
| sQ135_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f566,f1374,f1408,f876,f846]) ).
fof(f1423,plain,
( ~ sQ135_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f567,f1374,f1408]) ).
fof(f1424,plain,
( sQ60_spl
| sQ40_spl
| ~ sQ137_spl
| ~ sQ136_spl
| ~ sQ48_spl
| ~ sQ12_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f568,f1374,f720,f837,f1413,f1417,f811,f876]) ).
fof(f1426,plain,
( sQ60_spl
| ~ sQ34_spl
| ~ sQ137_spl
| ~ sQ136_spl
| ~ sQ48_spl
| ~ sQ12_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f570,f1374,f720,f837,f1413,f1417,f791,f876]) ).
fof(f1428,plain,
( sQ4_spl
| ~ sQ1_spl
| ~ sQ132_spl ),
inference(split_clause,[status(thm)],[f573,f1379,f684,f694]) ).
fof(f1429,plain,
( sQ1_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f574,f1379,f684]) ).
fof(f1430,plain,
( ~ sQ4_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f575,f1379,f694]) ).
fof(f1432,plain,
( sQ21_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f578,f1383,f749]) ).
fof(f1433,plain,
( ~ sQ21_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f579,f1383,f749]) ).
fof(f1434,definition,
( sQ138_spl
<=> sP50_prd ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f1437,plain,
( sQ8_spl
| sQ138_spl
| ~ sQ134_spl ),
inference(split_clause,[status(thm)],[f583,f1400,f1434,f707]) ).
fof(f1438,plain,
( ~ sQ2_spl
| sQ138_spl
| ~ sQ134_spl ),
inference(split_clause,[status(thm)],[f584,f1400,f1434,f687]) ).
fof(f1439,plain,
( sQ34_spl
| sQ138_spl
| ~ sQ134_spl ),
inference(split_clause,[status(thm)],[f585,f1400,f1434,f791]) ).
fof(f1440,plain,
( ~ sQ138_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f586,f1400,f1434]) ).
fof(f1441,plain,
( ~ sQ34_spl
| sQ2_spl
| ~ sQ8_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f587,f1400,f707,f687,f791]) ).
fof(f1442,definition,
( sQ139_spl
<=> sP51_prd ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f1445,plain,
( sQ8_spl
| sQ139_spl
| ~ sQ135_spl ),
inference(split_clause,[status(thm)],[f594,f1408,f1442,f707]) ).
fof(f1446,plain,
( sQ32_spl
| sQ139_spl
| ~ sQ135_spl ),
inference(split_clause,[status(thm)],[f595,f1408,f1442,f785]) ).
fof(f1447,definition,
( sQ140_spl
<=> sP52_prd ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f1451,definition,
( sQ141_spl
<=> sP53_prd ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f1454,plain,
( sQ141_spl
| sQ139_spl
| ~ sQ135_spl ),
inference(split_clause,[status(thm)],[f597,f1408,f1442,f1451]) ).
fof(f1455,plain,
( sQ34_spl
| ~ sQ40_spl
| sQ139_spl
| ~ sQ135_spl ),
inference(split_clause,[status(thm)],[f598,f1408,f1442,f811,f791]) ).
fof(f1456,plain,
( sQ51_spl
| ~ sQ60_spl
| sQ139_spl
| ~ sQ135_spl ),
inference(split_clause,[status(thm)],[f599,f1408,f1442,f876,f846]) ).
fof(f1457,plain,
( ~ sQ139_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f600,f1408,f1442]) ).
fof(f1459,plain,
( ~ sQ51_spl
| sQ40_spl
| ~ sQ141_spl
| ~ sQ140_spl
| ~ sQ32_spl
| ~ sQ8_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f602,f1408,f707,f785,f1447,f1451,f811,f846]) ).
fof(f1463,plain,
( sQ0_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f607,f1413,f681]) ).
fof(f1464,plain,
( ~ sQ0_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f608,f1413,f681]) ).
fof(f1465,plain,
( sQ17_spl
| ~ sQ20_spl
| ~ sQ137_spl ),
inference(split_clause,[status(thm)],[f610,f1417,f746,f736]) ).
fof(f1466,plain,
( sQ20_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f611,f1417,f746]) ).
fof(f1467,plain,
( ~ sQ17_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f612,f1417,f736]) ).
fof(f1468,definition,
( sQ142_spl
<=> sP54_prd ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f1471,plain,
( sQ4_spl
| sQ142_spl
| ~ sQ138_spl ),
inference(split_clause,[status(thm)],[f616,f1434,f1468,f694]) ).
fof(f1472,plain,
( ~ sQ1_spl
| sQ142_spl
| ~ sQ138_spl ),
inference(split_clause,[status(thm)],[f617,f1434,f1468,f684]) ).
fof(f1473,plain,
( sQ17_spl
| sQ142_spl
| ~ sQ138_spl ),
inference(split_clause,[status(thm)],[f618,f1434,f1468,f736]) ).
fof(f1474,plain,
( ~ sQ142_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f619,f1434,f1468]) ).
fof(f1475,plain,
( ~ sQ17_spl
| sQ1_spl
| ~ sQ4_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f620,f1434,f694,f684,f736]) ).
fof(f1476,definition,
( sQ143_spl
<=> sP55_prd ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f1479,plain,
( sQ4_spl
| sQ143_spl
| ~ sQ139_spl ),
inference(split_clause,[status(thm)],[f627,f1442,f1476,f694]) ).
fof(f1480,plain,
( sQ16_spl
| sQ143_spl
| ~ sQ139_spl ),
inference(split_clause,[status(thm)],[f628,f1442,f1476,f733]) ).
fof(f1481,definition,
( sQ144_spl
<=> sP56_prd ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f1484,plain,
( sQ144_spl
| sQ143_spl
| ~ sQ139_spl ),
inference(split_clause,[status(thm)],[f629,f1442,f1476,f1481]) ).
fof(f1485,definition,
( sQ145_spl
<=> sP57_prd ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f1488,plain,
( sQ145_spl
| sQ143_spl
| ~ sQ139_spl ),
inference(split_clause,[status(thm)],[f630,f1442,f1476,f1485]) ).
fof(f1489,plain,
( sQ34_spl
| ~ sQ40_spl
| sQ143_spl
| ~ sQ139_spl ),
inference(split_clause,[status(thm)],[f631,f1442,f1476,f811,f791]) ).
fof(f1490,plain,
( sQ51_spl
| ~ sQ60_spl
| sQ143_spl
| ~ sQ139_spl ),
inference(split_clause,[status(thm)],[f632,f1442,f1476,f876,f846]) ).
fof(f1491,plain,
( ~ sQ143_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f633,f1442,f1476]) ).
fof(f1492,plain,
( sQ60_spl
| sQ40_spl
| ~ sQ145_spl
| ~ sQ144_spl
| ~ sQ16_spl
| ~ sQ4_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f634,f1442,f694,f733,f1481,f1485,f811,f876]) ).
fof(f1493,plain,
( ~ sQ51_spl
| sQ40_spl
| ~ sQ145_spl
| ~ sQ144_spl
| ~ sQ16_spl
| ~ sQ4_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f635,f1442,f694,f733,f1481,f1485,f811,f846]) ).
fof(f1494,plain,
( sQ60_spl
| ~ sQ34_spl
| ~ sQ145_spl
| ~ sQ144_spl
| ~ sQ16_spl
| ~ sQ4_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f636,f1442,f694,f733,f1481,f1485,f791,f876]) ).
fof(f1497,plain,
( sQ0_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f640,f1447,f681]) ).
fof(f1498,plain,
( ~ sQ0_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f641,f1447,f681]) ).
fof(f1499,plain,
( sQ17_spl
| ~ sQ20_spl
| ~ sQ141_spl ),
inference(split_clause,[status(thm)],[f643,f1451,f746,f736]) ).
fof(f1500,plain,
( sQ20_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f644,f1451,f746]) ).
fof(f1501,plain,
( ~ sQ17_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f645,f1451,f736]) ).
fof(f1502,plain,
( sQ0_spl
| ~ sQ142_spl ),
inference(split_clause,[status(thm)],[f647,f1468,f681]) ).
fof(f1503,plain,
( ~ sQ0_spl
| ~ sQ142_spl ),
inference(split_clause,[status(thm)],[f648,f1468,f681]) ).
fof(f1506,plain,
( sQ0_spl
| ~ sQ143_spl ),
inference(split_clause,[status(thm)],[f655,f1476,f681]) ).
fof(f1508,definition,
( sQ146_spl
<=> sP58_prd ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f1512,definition,
( sQ147_spl
<=> sP59_prd ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f1515,plain,
( sQ147_spl
| ~ sQ143_spl ),
inference(split_clause,[status(thm)],[f658,f1476,f1512]) ).
fof(f1516,plain,
( sQ34_spl
| ~ sQ40_spl
| ~ sQ143_spl ),
inference(split_clause,[status(thm)],[f659,f1476,f811,f791]) ).
fof(f1517,plain,
( sQ51_spl
| ~ sQ60_spl
| ~ sQ143_spl ),
inference(split_clause,[status(thm)],[f660,f1476,f876,f846]) ).
fof(f1518,plain,
( sQ60_spl
| sQ40_spl
| ~ sQ147_spl
| ~ sQ146_spl
| ~ sQ0_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f661,f1476,f681,f1508,f1512,f811,f876]) ).
fof(f1519,plain,
( ~ sQ51_spl
| sQ40_spl
| ~ sQ147_spl
| ~ sQ146_spl
| ~ sQ0_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f662,f1476,f681,f1508,f1512,f811,f846]) ).
fof(f1520,plain,
( sQ60_spl
| ~ sQ34_spl
| ~ sQ147_spl
| ~ sQ146_spl
| ~ sQ0_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f663,f1476,f681,f1508,f1512,f791,f876]) ).
fof(f1521,plain,
( ~ sQ51_spl
| ~ sQ34_spl
| ~ sQ147_spl
| ~ sQ146_spl
| ~ sQ0_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f664,f1476,f681,f1508,f1512,f791,f846]) ).
fof(f1523,plain,
( sQ0_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f667,f1481,f681]) ).
fof(f1524,plain,
( ~ sQ0_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f668,f1481,f681]) ).
fof(f1525,plain,
( sQ17_spl
| ~ sQ20_spl
| ~ sQ145_spl ),
inference(split_clause,[status(thm)],[f670,f1485,f746,f736]) ).
fof(f1526,plain,
( sQ20_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f671,f1485,f746]) ).
fof(f1527,plain,
( ~ sQ17_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f672,f1485,f736]) ).
fof(f1529,plain,
( sQ0_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f675,f1508,f681]) ).
fof(f1530,plain,
( ~ sQ0_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f676,f1508,f681]) ).
fof(f1531,plain,
( sQ17_spl
| ~ sQ20_spl
| ~ sQ147_spl ),
inference(split_clause,[status(thm)],[f678,f1512,f746,f736]) ).
fof(f1532,plain,
( sQ20_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f679,f1512,f746]) ).
fof(f1533,plain,
( ~ sQ17_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f680,f1512,f736]) ).
fof(f1534,plain,
( ~ sQ7_spl
| e3 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f704,f86]) ).
fof(f1535,plain,
( ~ sQ7_spl
| e3 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f704,f85]) ).
fof(f1537,plain,
( ~ sQ19_spl
| e3 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f743,f82]) ).
fof(f1538,plain,
( ~ sQ19_spl
| e3 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f743,f81]) ).
fof(f1539,plain,
( ~ sQ19_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f743,f78]) ).
fof(f1540,plain,
( ~ sQ33_spl
| e1 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f789,f83]) ).
fof(f1541,plain,
( ~ sQ33_spl
| op(e0,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f789,f79]) ).
fof(f1542,plain,
( ~ sQ30_spl
| ~ sQ28_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f773,f779]) ).
fof(f1543,plain,
( ~ sQ30_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1542,f127]) ).
fof(f1544,plain,
( ~ sQ30_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f1543]) ).
fof(f1545,plain,
( ~ sQ34_spl
| ~ sQ33_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f789,f792]) ).
fof(f1546,plain,
( ~ sQ34_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1545,f129]) ).
fof(f1547,plain,
( ~ sQ34_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f1546]) ).
fof(f1548,plain,
( ~ sQ17_spl
| ~ sQ19_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f743,f737]) ).
fof(f1549,plain,
( ~ sQ17_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1548,f130]) ).
fof(f1550,plain,
( ~ sQ17_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f1549]) ).
fof(f1551,plain,
( ~ sQ32_spl
| ~ sQ33_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f789,f786]) ).
fof(f1552,plain,
( ~ sQ32_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1551,f126]) ).
fof(f1553,plain,
( ~ sQ32_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f1552]) ).
fof(f1555,plain,
( ~ sQ5_spl
| ~ sQ7_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f704,f698]) ).
fof(f1556,plain,
( ~ sQ5_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1555,f130]) ).
fof(f1557,plain,
( ~ sQ5_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f1556]) ).
fof(f1558,plain,
( ~ sQ13_spl
| e1 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f724,f96]) ).
fof(f1559,plain,
( ~ sQ13_spl
| e1 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f724,f97]) ).
fof(f1560,plain,
( ~ sQ13_spl
| e1 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f724,f98]) ).
fof(f1561,plain,
( ~ sQ14_spl
| ~ sQ13_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f724,f727]) ).
fof(f1562,plain,
( ~ sQ14_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1561,f129]) ).
fof(f1563,plain,
( ~ sQ14_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f1562]) ).
fof(f1564,plain,
( ~ sQ54_spl
| op(e2,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f857,f89]) ).
fof(f1565,plain,
( ~ sQ54_spl
| op(e1,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f857,f88]) ).
fof(f1566,plain,
( ~ sQ50_spl
| op(e0,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f844,f80]) ).
fof(f1567,plain,
( ~ sQ45_spl
| e1 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f828,f101]) ).
fof(f1568,plain,
( ~ sQ45_spl
| op(e1,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f828,f99]) ).
fof(f1569,plain,
( ~ sQ45_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f1567,f879,f827]) ).
fof(f1570,plain,
( ~ sQ57_spl
| op(e2,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f867,f95]) ).
fof(f1571,plain,
( ~ sQ57_spl
| op(e1,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f867,f94]) ).
fof(f1572,plain,
( ~ sQ57_spl
| op(e0,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f867,f92]) ).
fof(f1573,plain,
( ~ sQ57_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f1570,f814,f866]) ).
fof(f1577,plain,
( ~ sQ19_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1539,f690,f742]) ).
fof(f1581,plain,
( ~ sQ48_spl
| ~ sQ50_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f844,f838]) ).
fof(f1582,plain,
( ~ sQ48_spl
| ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1581,f127]) ).
fof(f1583,plain,
( ~ sQ48_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f1582]) ).
fof(f1584,plain,
( ~ sQ55_spl
| ~ sQ54_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f857,f860]) ).
fof(f1585,plain,
( ~ sQ55_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1584,f131]) ).
fof(f1586,plain,
( ~ sQ55_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f1585]) ).
fof(f1587,plain,
( ~ sQ52_spl
| ~ sQ54_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f857,f851]) ).
fof(f1588,plain,
( ~ sQ52_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1587,f127]) ).
fof(f1589,plain,
( ~ sQ52_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f1588]) ).
fof(f1591,plain,
( ~ sQ27_spl
| op(e1,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f769,f111]) ).
fof(f1592,plain,
( ~ sQ27_spl
| op(e1,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f769,f109]) ).
fof(f1593,plain,
( ~ sQ27_spl
| e3 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f769,f93]) ).
fof(f1594,plain,
( ~ sQ27_spl
| op(e0,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f769,f90]) ).
fof(f1595,plain,
( ~ sQ27_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f1591,f755,f768]) ).
fof(f1596,plain,
( ~ sQ27_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f1593,f820,f768]) ).
fof(f1597,plain,
( ~ sQ51_spl
| ~ sQ49_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f841,f847]) ).
fof(f1598,plain,
( ~ sQ51_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1597,f130]) ).
fof(f1599,plain,
( ~ sQ51_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f1598]) ).
fof(f1600,plain,
( ~ sQ45_spl
| ~ sQ44_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f825,f828]) ).
fof(f1601,plain,
( ~ sQ45_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1600,f126]) ).
fof(f1602,plain,
( ~ sQ45_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f1601]) ).
fof(f1603,plain,
( ~ sQ13_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f1559,f827,f723]) ).
fof(f1605,plain,
( ~ sQ50_spl
| ~ sQ49_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f841,f844]) ).
fof(f1606,plain,
( ~ sQ50_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1605,f129]) ).
fof(f1607,plain,
( ~ sQ50_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f1606]) ).
fof(f1608,plain,
( ~ sQ57_spl
| ~ sQ56_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f864,f867]) ).
fof(f1609,plain,
( ~ sQ57_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1608,f126]) ).
fof(f1610,plain,
( ~ sQ57_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f1609]) ).
fof(f1611,plain,
( ~ sQ50_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f1566,f687,f843]) ).
fof(f1612,plain,
( ~ sQ11_spl
| e3 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f717,f107]) ).
fof(f1613,plain,
( ~ sQ11_spl
| op(e0,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f717,f105]) ).
fof(f1614,plain,
( ~ sQ11_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f717,f103]) ).
fof(f1615,plain,
( ~ sQ11_spl
| e3 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f717,f91]) ).
fof(f1616,plain,
( ~ sQ11_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1614,f690,f716]) ).
fof(f1617,plain,
( ~ sQ11_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f1615,f820,f716]) ).
fof(f1618,plain,
( ~ sQ39_spl
| e3 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f808,f118]) ).
fof(f1619,plain,
( ~ sQ39_spl
| e3 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f808,f117]) ).
fof(f1620,plain,
( ~ sQ39_spl
| op(e2,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f808,f114]) ).
fof(f1621,plain,
( ~ sQ39_spl
| op(e1,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f808,f87]) ).
fof(f1622,plain,
( ~ sQ39_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f1618,f833,f807]) ).
fof(f1623,plain,
( ~ sQ39_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f1621,f755,f807]) ).
fof(f1624,plain,
( ~ sQ7_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f1534,f859,f703]) ).
fof(f1625,plain,
( ~ sQ7_spl
| ~ sQ39_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f808,f1535]) ).
fof(f1626,plain,
( ~ sQ7_spl
| ~ sQ39_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1625]) ).
fof(f1627,plain,
( ~ sQ7_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f1626]) ).
fof(f1628,plain,
( ~ sQ35_spl
| e3 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f795,f116]) ).
fof(f1629,plain,
( ~ sQ35_spl
| e3 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f795,f115]) ).
fof(f1630,plain,
( ~ sQ35_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f1628,f833,f794]) ).
fof(f1631,plain,
( ~ sQ27_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1594,f716,f768]) ).
fof(f1632,plain,
( ~ sQ24_spl
| e0 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f760,f113]) ).
fof(f1633,plain,
( ~ sQ6_spl
| e2 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f701,f106]) ).
fof(f1634,plain,
( ~ sQ6_spl
| op(e0,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f701,f102]) ).
fof(f1635,plain,
( ~ sQ6_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f1634,f687,f700]) ).
fof(f1640,plain,
( ~ sQ18_spl
| e2 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f740,f110]) ).
fof(f1641,plain,
( ~ sQ18_spl
| e2 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f740,f108]) ).
fof(f1642,plain,
( ~ sQ18_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f1640,f778,f739]) ).
fof(f1643,plain,
( ~ sQ38_spl
| ~ sQ36_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f799,f805]) ).
fof(f1644,plain,
( ~ sQ38_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1643,f127]) ).
fof(f1645,plain,
( ~ sQ38_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f1644]) ).
fof(f1646,plain,
( ~ sQ13_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f1558,f775,f723]) ).
fof(f1647,plain,
( ~ sQ13_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f1560,f879,f723]) ).
fof(f1648,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f711,f708]) ).
fof(f1649,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1648,f126]) ).
fof(f1650,plain,
( ~ sQ8_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f1649]) ).
fof(f1652,plain,
( ~ sQ6_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f1633,f726,f700]) ).
fof(f1654,plain,
( ~ sQ45_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f1568,f775,f827]) ).
fof(f1658,plain,
( ~ sQ63_spl
| op(e3,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f886,f125]) ).
fof(f1659,plain,
( ~ sQ63_spl
| op(e3,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f886,f124]) ).
fof(f1660,plain,
( ~ sQ63_spl
| op(e3,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f886,f122]) ).
fof(f1668,plain,
( ~ sQ63_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f1658,f872,f885]) ).
fof(f1669,plain,
( ~ sQ63_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f1659,f859,f885]) ).
fof(f1670,plain,
( ~ sQ63_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f1660,f846,f885]) ).
fof(f1671,plain,
( ~ sQ18_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f1641,f752,f739]) ).
fof(f1672,plain,
( ~ sQ19_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f1538,f794,f742]) ).
fof(f1673,plain,
( ~ sQ11_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f1612,f729,f716]) ).
fof(f1674,plain,
( ~ sQ57_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f1572,f710,f866]) ).
fof(f1675,plain,
( ~ sQ27_spl
| ~ sQ24_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f760,f769]) ).
fof(f1676,plain,
( ~ sQ27_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1675,f128]) ).
fof(f1677,plain,
( ~ sQ27_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f1676]) ).
fof(f1678,plain,
( ~ sQ39_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f1619,f820,f807]) ).
fof(f1679,plain,
( ~ sQ39_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f1620,f794,f807]) ).
fof(f1680,plain,
( ~ sQ0_spl
| e0 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f682,f79]) ).
fof(f1681,plain,
( ~ sQ0_spl
| e0 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f682,f78]) ).
fof(f1685,plain,
( ~ sQ0_spl
| e0 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f682,f104]) ).
fof(f1695,plain,
( ~ sQ0_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f1685,f720,f681]) ).
fof(f1697,plain,
( ~ sQ55_spl
| e3 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f860,f123]) ).
fof(f1698,plain,
( ~ sQ55_spl
| op(e3,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f860,f120]) ).
fof(f1699,plain,
( ~ sQ55_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f1698,f846,f859]) ).
fof(f1700,plain,
( ~ sQ24_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f1632,f772,f759]) ).
fof(f1701,plain,
( ~ sQ0_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f1680,f785,f681]) ).
fof(f1702,plain,
( ~ sQ54_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f1564,f804,f856]) ).
fof(f1704,plain,
( ~ sQ60_spl
| op(e2,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f877,f101]) ).
fof(f1705,plain,
( ~ sQ60_spl
| op(e0,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f877,f98]) ).
fof(f1708,plain,
( ~ sQ56_spl
| op(e0,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f864,f92]) ).
fof(f1709,plain,
( ~ sQ56_spl
| op(e1,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f864,f94]) ).
fof(f1710,plain,
( ~ sQ56_spl
| op(e2,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f864,f95]) ).
fof(f1711,plain,
( ~ sQ56_spl
| op(e3,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f864,f121]) ).
fof(f1712,plain,
( ~ sQ56_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f1711,f837,f863]) ).
fof(f1714,plain,
( ~ sQ61_spl
| ~ sQ60_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f877,f880]) ).
fof(f1715,plain,
( ~ sQ61_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1714,f126]) ).
fof(f1716,plain,
( ~ sQ61_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f1715]) ).
fof(f1717,plain,
( ~ sQ0_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f1681,f733,f681]) ).
fof(f1718,plain,
( ~ sQ56_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f1709,f759,f863]) ).
fof(f1719,plain,
( ~ sQ56_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f1710,f811,f863]) ).
fof(f1720,plain,
( ~ sQ19_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f1537,f846,f742]) ).
fof(f1721,plain,
( ~ sQ55_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f1697,f872,f859]) ).
fof(f1722,plain,
( ~ sQ33_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1541,f684,f788]) ).
fof(f1724,plain,
( ~ sQ15_spl
| e3 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f730,f96]) ).
fof(f1729,plain,
( ~ sQ9_spl
| e1 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f711,f91]) ).
fof(f1730,plain,
( ~ sQ9_spl
| op(e0,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f711,f103]) ).
fof(f1731,plain,
( ~ sQ9_spl
| op(e0,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f711,f105]) ).
fof(f1732,plain,
( ~ sQ9_spl
| e1 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f711,f90]) ).
fof(f1733,plain,
( ~ sQ9_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f1729,f814,f710]) ).
fof(f1734,plain,
( ~ sQ9_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1731,f697,f710]) ).
fof(f1736,plain,
( ~ sQ13_spl
| ~ sQ15_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f730,f724]) ).
fof(f1737,plain,
( ~ sQ13_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1736,f130]) ).
fof(f1738,plain,
( ~ sQ13_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f1737]) ).
fof(f1739,plain,
( ~ sQ40_spl
| op(e2,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f812,f115]) ).
fof(f1740,plain,
( ~ sQ40_spl
| op(e2,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f812,f117]) ).
fof(f1742,plain,
( ~ sQ40_spl
| e0 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f812,f119]) ).
fof(f1743,plain,
( ~ sQ40_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1742,f824,f811]) ).
fof(f1744,plain,
( ~ sQ56_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1708,f707,f863]) ).
fof(f1745,plain,
( ~ sQ40_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f1739,f785,f811]) ).
fof(f1746,plain,
( ~ sQ9_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1730,f684,f710]) ).
fof(f1747,plain,
( ~ sQ54_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f1565,f752,f856]) ).
fof(f1748,plain,
( ~ sQ29_spl
| op(e1,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f776,f113]) ).
fof(f1749,plain,
( ~ sQ29_spl
| e1 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f776,f100]) ).
fof(f1750,plain,
( ~ sQ29_spl
| op(e1,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f776,f110]) ).
fof(f1752,plain,
( ~ sQ29_spl
| op(e1,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f776,f112]) ).
fof(f1757,plain,
( ~ sQ51_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f847,f80]) ).
fof(f1758,plain,
( ~ sQ51_spl
| op(e2,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f847,f83]) ).
fof(f1760,plain,
( ~ sQ51_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1757,f690,f846]) ).
fof(f1761,plain,
( ~ sQ28_spl
| ~ sQ29_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f776,f773]) ).
fof(f1762,plain,
( ~ sQ28_spl
| ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1761,f126]) ).
fof(f1763,plain,
( ~ sQ28_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f1762]) ).
fof(f1764,plain,
( ~ sQ15_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f1724,f781,f729]) ).
fof(f1765,plain,
( ~ sQ27_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f1592,f742,f768]) ).
fof(f1766,plain,
( ~ sQ57_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f1571,f762,f866]) ).
fof(f1767,plain,
( ~ sQ29_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f1749,f879,f775]) ).
fof(f1768,plain,
( ~ sQ62_spl
| op(e0,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f883,f98]) ).
fof(f1769,plain,
( ~ sQ62_spl
| op(e2,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f883,f101]) ).
fof(f1771,plain,
( ~ sQ62_spl
| op(e3,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f883,f124]) ).
fof(f1773,plain,
( ~ sQ62_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f1768,f726,f882]) ).
fof(f1774,plain,
( ~ sQ34_spl
| e2 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f792,f115]) ).
fof(f1775,plain,
( ~ sQ34_spl
| op(e0,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f792,f79]) ).
fof(f1777,plain,
( ~ sQ34_spl
| e2 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f792,f114]) ).
fof(f1778,plain,
( ~ sQ34_spl
| op(e1,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f792,f81]) ).
fof(f1779,plain,
( ~ sQ34_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f1774,f817,f791]) ).
fof(f1780,plain,
( ~ sQ34_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f1777,f804,f791]) ).
fof(f1781,plain,
( ~ sQ51_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f1758,f794,f846]) ).
fof(f1783,plain,
( ~ sQ29_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f1750,f736,f775]) ).
fof(f1784,plain,
( ~ sQ29_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f1752,f749,f775]) ).
fof(f1785,plain,
( ~ sQ35_spl
| ~ sQ34_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f792,f795]) ).
fof(f1786,plain,
( ~ sQ35_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1785,f131]) ).
fof(f1787,plain,
( ~ sQ35_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f1786]) ).
fof(f1790,plain,
( ~ sQ22_spl
| e2 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f753,f87]) ).
fof(f1793,plain,
( ~ sQ22_spl
| op(e0,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f753,f84]) ).
fof(f1795,plain,
( ~ sQ22_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f1790,f804,f752]) ).
fof(f1797,plain,
( sQ85_spl
| ~ sQ22_spl
| e0 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f753,f1009]) ).
fof(f1799,plain,
( ~ sQ34_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f1775,f687,f791]) ).
fof(f1801,plain,
( ~ sQ40_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f1740,f798,f811]) ).
fof(f1802,plain,
( ~ sQ60_spl
| op(e1,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f877,f100]) ).
fof(f1803,plain,
( sQ86_spl
| ~ sQ60_spl
| e2 != op(op(e3,op(e3,e3)),e0) ),
inference(backward_demodulation,[status(thm)],[f877,f1014]) ).
fof(f1804,plain,
( ~ sQ60_spl
| op(e3,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f877,f122]) ).
fof(f1806,plain,
( sQ86_spl
| ~ sQ60_spl
| e2 != op(op(e3,e0),e0) ),
inference(forward_demodulation,[status(thm)],[f877,f1803]) ).
fof(f1815,plain,
( ~ sQ15_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f730,f104]) ).
fof(f1816,plain,
( ~ sQ15_spl
| op(e0,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f730,f106]) ).
fof(f1819,plain,
( ~ sQ8_spl
| e0 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f708,f90]) ).
fof(f1820,plain,
( ~ sQ8_spl
| op(e0,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f708,f105]) ).
fof(f1821,plain,
( ~ sQ8_spl
| op(e0,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f708,f103]) ).
fof(f1824,plain,
( ~ sQ8_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f1819,f759,f707]) ).
fof(f1825,plain,
( ~ sQ8_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f1820,f694,f707]) ).
fof(f1836,plain,
( ~ sQ51_spl
| e3 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f847,f121]) ).
fof(f1838,plain,
( ~ sQ51_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f1836,f872,f846]) ).
fof(f1840,plain,
( ~ sQ60_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f1705,f720,f876]) ).
fof(f1841,plain,
( ~ sQ44_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f825,f1704]) ).
fof(f1842,plain,
( ~ sQ44_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f1841]) ).
fof(f1843,plain,
( ~ sQ22_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f1793,f700,f752]) ).
fof(f1845,plain,
( sQ66_spl
| ~ sQ23_spl
| e0 != op(op(e1,op(e1,e1)),e3) ),
inference(backward_demodulation,[status(thm)],[f756,f938]) ).
fof(f1846,plain,
( ~ sQ23_spl
| e3 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f756,f112]) ).
fof(f1848,plain,
( sQ66_spl
| ~ sQ23_spl
| e0 != op(op(e1,e3),e3) ),
inference(forward_demodulation,[status(thm)],[f756,f1845]) ).
fof(f1851,plain,
( ~ sQ24_spl
| e0 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f760,f93]) ).
fof(f1853,plain,
( ~ sQ24_spl
| op(e1,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f760,f109]) ).
fof(f1859,plain,
( ~ sQ34_spl
| e2 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f792,f116]) ).
fof(f1862,plain,
( ~ sQ34_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f1859,f830,f791]) ).
fof(f1864,plain,
( ~ sQ62_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f1769,f830,f882]) ).
fof(f1868,plain,
( ~ sQ33_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f1540,f840,f788]) ).
fof(f1871,plain,
( ~ sQ22_spl
| ~ sQ23_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f756,f753]) ).
fof(f1872,plain,
( ~ sQ22_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1871,f131]) ).
fof(f1873,plain,
( ~ sQ22_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f1872]) ).
fof(f1874,plain,
( ~ sQ29_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f1748,f762,f775]) ).
fof(f1875,plain,
( ~ sQ20_spl
| ~ sQ23_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f756,f747]) ).
fof(f1876,plain,
( ~ sQ20_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1875,f128]) ).
fof(f1877,plain,
( ~ sQ20_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f1876]) ).
fof(f1878,plain,
( sQ85_spl
| ~ sQ22_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f1797,f759,f752,f1007]) ).
fof(f1879,plain,
( ~ sQ9_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f1732,f762,f710]) ).
fof(f1880,plain,
( ~ sQ34_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f1778,f739,f791]) ).
fof(f1882,plain,
( ~ sQ8_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1821,f681,f707]) ).
fof(f1883,plain,
( ~ sQ15_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1815,f690,f729]) ).
fof(f1884,plain,
( ~ sQ24_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f1851,f811,f759]) ).
fof(f1886,plain,
( ~ sQ48_spl
| op(e0,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f838,f80]) ).
fof(f1887,plain,
( ~ sQ48_spl
| op(e2,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f838,f83]) ).
fof(f1888,plain,
( ~ sQ48_spl
| op(e1,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f838,f82]) ).
fof(f1889,plain,
( ~ sQ48_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f1888,f733,f837]) ).
fof(f1890,plain,
( ~ sQ23_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f1846,f781,f755]) ).
fof(f1891,plain,
( ~ sQ24_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f1853,f733,f759]) ).
fof(f1897,plain,
( ~ sQ31_spl
| ~ sQ29_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f776,f782]) ).
fof(f1898,plain,
( ~ sQ31_spl
| ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1897,f130]) ).
fof(f1899,plain,
( ~ sQ31_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f1898]) ).
fof(f1900,plain,
( ~ sQ48_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f1887,f785,f837]) ).
fof(f1901,plain,
( ~ sQ60_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f1804,f837,f876]) ).
fof(f1902,plain,
( ~ sQ49_spl
| e1 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f841,f122]) ).
fof(f1905,plain,
( ~ sQ49_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f841,f121]) ).
fof(f1908,plain,
( ~ sQ8_spl
| e0 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f708,f107]) ).
fof(f1914,plain,
( ~ sQ8_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f1908,f720,f707]) ).
fof(f1915,plain,
( sQ86_spl
| ~ sQ60_spl
| ~ sQ49_spl
| e2 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f841,f1806]) ).
fof(f1918,plain,
( ~ sQ49_spl
| op(e0,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f841,f80]) ).
fof(f1920,plain,
( ~ sQ49_spl
| op(e1,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f841,f82]) ).
fof(f1925,plain,
( ~ sQ32_spl
| e0 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f786,f116]) ).
fof(f1926,plain,
( ~ sQ32_spl
| e0 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f786,f114]) ).
fof(f1927,plain,
( ~ sQ32_spl
| op(e1,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f786,f81]) ).
fof(f1938,plain,
( ~ sQ37_spl
| op(e1,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f802,f87]) ).
fof(f1941,plain,
( ~ sQ37_spl
| e1 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f802,f89]) ).
fof(f1942,plain,
( ~ sQ37_spl
| op(e0,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f802,f85]) ).
fof(f1943,plain,
( ~ sQ37_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f1941,f853,f801]) ).
fof(f1944,plain,
( ~ sQ49_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f1920,f736,f840]) ).
fof(f1945,plain,
( ~ sQ35_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f1629,f820,f794]) ).
fof(f1946,plain,
( ~ sQ35_spl
| ~ sQ32_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f786,f795]) ).
fof(f1947,plain,
( ~ sQ35_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1946,f128]) ).
fof(f1948,plain,
( ~ sQ35_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f1947]) ).
fof(f1953,plain,
( ~ sQ23_spl
| e3 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f756,f88]) ).
fof(f1955,plain,
( ~ sQ23_spl
| op(e1,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f756,f108]) ).
fof(f1958,plain,
( ~ sQ23_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f1955,f742,f755]) ).
fof(f1962,plain,
( ~ sQ5_spl
| e1 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f698,f86]) ).
fof(f1963,plain,
( ~ sQ5_spl
| op(e0,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f698,f102]) ).
fof(f1964,plain,
( ~ sQ5_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f1962,f853,f697]) ).
fof(f1965,plain,
( ~ sQ32_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1925,f824,f785]) ).
fof(f1966,plain,
( ~ sQ32_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f1927,f733,f785]) ).
fof(f1967,plain,
( ~ sQ15_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f1816,f703,f729]) ).
fof(f1968,plain,
( ~ sQ49_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1918,f684,f840]) ).
fof(f1969,plain,
( ~ sQ49_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f1902,f879,f840]) ).
fof(f1970,plain,
( ~ sQ38_spl
| e2 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f805,f118]) ).
fof(f1971,plain,
( ~ sQ38_spl
| e2 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f805,f117]) ).
fof(f1974,plain,
( ~ sQ38_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f1971,f817,f804]) ).
fof(f1975,plain,
( ~ sQ37_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f1938,f749,f801]) ).
fof(f1976,plain,
( ~ sQ32_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f1926,f798,f785]) ).
fof(f1980,plain,
( ~ sQ36_spl
| op(e0,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f799,f85]) ).
fof(f1984,plain,
( ~ sQ8_spl
| e0 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f708,f91]) ).
fof(f1990,plain,
( ~ sQ22_spl
| e2 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f753,f112]) ).
fof(f1991,plain,
( ~ sQ22_spl
| e2 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f753,f111]) ).
fof(f1996,plain,
( ~ sQ59_spl
| op(e1,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f873,f94]) ).
fof(f1998,plain,
( ~ sQ59_spl
| op(e2,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f873,f95]) ).
fof(f2001,plain,
( ~ sQ41_spl
| op(e2,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f815,f115]) ).
fof(f2002,plain,
( ~ sQ41_spl
| op(e1,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f815,f93]) ).
fof(f2004,plain,
( ~ sQ41_spl
| e1 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f815,f119]) ).
fof(f2007,plain,
( sQ87_spl
| ~ sQ1_spl
| e3 != op(op(e0,op(e0,e0)),e1) ),
inference(backward_demodulation,[status(thm)],[f685,f1019]) ).
fof(f2013,plain,
( ~ sQ1_spl
| e1 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f685,f78]) ).
fof(f2015,plain,
( sQ87_spl
| ~ sQ1_spl
| e3 != op(op(e0,e1),e1) ),
inference(forward_demodulation,[status(thm)],[f685,f2007]) ).
fof(f2023,plain,
( sQ89_spl
| ~ sQ41_spl
| e3 != op(op(e2,e1),op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f815,f1029]) ).
fof(f2024,plain,
( sQ89_spl
| ~ sQ41_spl
| ~ sQ36_spl
| e3 != op(e0,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f799,f2023]) ).
fof(f2025,plain,
( sQ89_spl
| ~ sQ41_spl
| ~ sQ36_spl
| e3 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f815,f2024]) ).
fof(f2026,plain,
( sQ89_spl
| ~ sQ41_spl
| ~ sQ36_spl
| ~ sQ7_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f704,f2025]) ).
fof(f2027,plain,
( sQ89_spl
| ~ sQ41_spl
| ~ sQ36_spl
| ~ sQ7_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2026]) ).
fof(f2028,plain,
( sQ89_spl
| ~ sQ41_spl
| ~ sQ36_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f2027]) ).
fof(f2029,plain,
( sQ79_spl
| ~ sQ41_spl
| e0 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f815,f985]) ).
fof(f2030,plain,
( sQ79_spl
| ~ sQ41_spl
| ~ sQ36_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f799,f2029]) ).
fof(f2031,plain,
( sQ79_spl
| ~ sQ41_spl
| ~ sQ36_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2030]) ).
fof(f2032,plain,
( sQ79_spl
| ~ sQ41_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f2031]) ).
fof(f2035,plain,
( ~ sQ57_spl
| ~ sQ59_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f873,f867]) ).
fof(f2036,plain,
( ~ sQ57_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2035,f130]) ).
fof(f2037,plain,
( ~ sQ57_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f2036]) ).
fof(f2038,plain,
( ~ sQ8_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f1984,f811,f707]) ).
fof(f2041,plain,
( ~ sQ38_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f1970,f830,f804]) ).
fof(f2042,plain,
( ~ sQ23_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f1953,f859,f755]) ).
fof(f2044,plain,
( ~ sQ37_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1942,f697,f801]) ).
fof(f2046,plain,
( ~ sQ1_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f2013,f736,f684]) ).
fof(f2047,plain,
( ~ sQ41_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f2004,f827,f814]) ).
fof(f2048,plain,
( ~ sQ41_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f2002,f762,f814]) ).
fof(f2049,plain,
( ~ sQ59_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f1998,f820,f872]) ).
fof(f2050,plain,
( ~ sQ48_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1886,f681,f837]) ).
fof(f2051,plain,
( ~ sQ36_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f1980,f694,f798]) ).
fof(f2059,plain,
( ~ sQ17_spl
| e1 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f737,f81]) ).
fof(f2079,plain,
( ~ sQ30_spl
| e2 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f779,f100]) ).
fof(f2080,plain,
( ~ sQ30_spl
| op(e0,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f779,f96]) ).
fof(f2082,plain,
( ~ sQ30_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f2079,f882,f778]) ).
fof(f2085,plain,
( ~ sQ60_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f1802,f772,f876]) ).
fof(f2086,plain,
( ~ sQ30_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f2080,f726,f778]) ).
fof(f2088,plain,
( ~ sQ17_spl
| e1 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f737,f108]) ).
fof(f2089,plain,
( ~ sQ17_spl
| ~ sQ21_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f750,f2088]) ).
fof(f2090,plain,
( ~ sQ17_spl
| ~ sQ21_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2089]) ).
fof(f2091,plain,
( ~ sQ17_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f2090]) ).
fof(f2095,plain,
( ~ sQ10_spl
| op(e0,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f714,f105]) ).
fof(f2096,plain,
( ~ sQ10_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f2095,f700,f713]) ).
fof(f2098,plain,
( ~ sQ62_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f1771,f856,f882]) ).
fof(f2105,plain,
( ~ sQ15_spl
| e3 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f730,f97]) ).
fof(f2111,plain,
( ~ sQ43_spl
| e3 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f821,f119]) ).
fof(f2116,plain,
( ~ sQ38_spl
| op(e0,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f805,f85]) ).
fof(f2120,plain,
( ~ sQ38_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f2116,f700,f804]) ).
fof(f2124,plain,
( ~ sQ25_spl
| op(e1,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f763,f111]) ).
fof(f2138,plain,
( ~ sQ58_spl
| op(e0,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f870,f92]) ).
fof(f2140,plain,
( ~ sQ58_spl
| op(e3,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f870,f123]) ).
fof(f2141,plain,
( ~ sQ58_spl
| e2 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f870,f125]) ).
fof(f2142,plain,
( ~ sQ58_spl
| op(e3,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f870,f121]) ).
fof(f2143,plain,
( ~ sQ58_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2138,f713,f869]) ).
fof(f2147,plain,
( ~ sQ15_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f2105,f833,f729]) ).
fof(f2150,plain,
( ~ sQ43_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f2111,f833,f820]) ).
fof(f2154,plain,
( ~ sQ58_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f2141,f882,f869]) ).
fof(f2156,plain,
( ~ sQ41_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f2001,f788,f814]) ).
fof(f2157,plain,
( sQ86_spl
| ~ sQ60_spl
| ~ sQ49_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f1915,f739,f840,f876,f1012]) ).
fof(f2160,plain,
( ~ sQ2_spl
| e2 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f688,f104]) ).
fof(f2162,plain,
( ~ sQ2_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f2160,f726,f687]) ).
fof(f2163,plain,
( ~ sQ17_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f2059,f788,f736]) ).
fof(f2167,plain,
( ~ sQ18_spl
| e2 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f740,f82]) ).
fof(f2171,plain,
( ~ sQ48_spl
| e0 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f838,f120]) ).
fof(f2174,plain,
( ~ sQ48_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f2171,f850,f837]) ).
fof(f2175,plain,
( ~ sQ59_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f1996,f768,f872]) ).
fof(f2176,plain,
( ~ sQ10_spl
| op(e0,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f714,f103]) ).
fof(f2180,plain,
( ~ sQ10_spl
| e2 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f714,f107]) ).
fof(f2182,plain,
( ~ sQ12_spl
| e0 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f721,f97]) ).
fof(f2184,plain,
( ~ sQ12_spl
| op(e0,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f721,f106]) ).
fof(f2186,plain,
( ~ sQ12_spl
| e0 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f721,f96]) ).
fof(f2187,plain,
( ~ sQ12_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f2184,f694,f720]) ).
fof(f2188,plain,
( ~ sQ58_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f2140,f856,f869]) ).
fof(f2190,plain,
( ~ sQ13_spl
| ~ sQ12_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f721,f724]) ).
fof(f2191,plain,
( ~ sQ13_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2190,f126]) ).
fof(f2192,plain,
( ~ sQ13_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f2191]) ).
fof(f2193,plain,
( ~ sQ58_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f2142,f843,f869]) ).
fof(f2194,plain,
( ~ sQ22_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f1990,f778,f752]) ).
fof(f2195,plain,
( ~ sQ5_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1963,f684,f697]) ).
fof(f2196,plain,
( ~ sQ12_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f2182,f824,f720]) ).
fof(f2200,plain,
( ~ sQ20_spl
| e0 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f747,f87]) ).
fof(f2202,plain,
( ~ sQ20_spl
| op(e0,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f747,f84]) ).
fof(f2207,plain,
( ~ sQ20_spl
| op(e1,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f747,f108]) ).
fof(f2238,plain,
( ~ sQ0_spl
| e0 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f682,f102]) ).
fof(f2244,plain,
( ~ sQ46_spl
| op(e2,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f831,f119]) ).
fof(f2293,plain,
( sQ73_spl
| ~ sQ60_spl
| e1 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f877,f963]) ).
fof(f2297,plain,
( sQ73_spl
| ~ sQ60_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f2293,f840,f876,f961]) ).
fof(f2309,plain,
( ~ sQ53_spl
| ~ sQ55_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f860,f854]) ).
fof(f2310,plain,
( ~ sQ53_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2309,f130]) ).
fof(f2311,plain,
( ~ sQ53_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f2310]) ).
fof(f2314,plain,
( ~ sQ25_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f2124,f749,f762]) ).
fof(f2316,plain,
( ~ sQ10_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f2180,f726,f713]) ).
fof(f2317,plain,
( ~ sQ14_spl
| ~ sQ15_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f730,f727]) ).
fof(f2318,plain,
( ~ sQ14_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2317,f131]) ).
fof(f2319,plain,
( ~ sQ14_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f2318]) ).
fof(f2349,plain,
( sQ81_spl
| ~ sQ61_spl
| e0 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f880,f993]) ).
fof(f2381,plain,
( ~ sQ31_spl
| op(e1,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f782,f110]) ).
fof(f2385,plain,
( ~ sQ19_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f743,f2381]) ).
fof(f2386,plain,
( ~ sQ19_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f2385]) ).
fof(f2388,plain,
( ~ sQ46_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f2244,f817,f830]) ).
fof(f2390,plain,
( ~ sQ62_spl
| ~ sQ61_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f880,f883]) ).
fof(f2391,plain,
( ~ sQ62_spl
| ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2390,f129]) ).
fof(f2392,plain,
( ~ sQ62_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f2391]) ).
fof(f2407,plain,
( ~ sQ28_spl
| op(e1,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f773,f112]) ).
fof(f2449,plain,
( sQ84_spl
| ~ sQ23_spl
| e2 != op(op(e1,op(e1,e1)),e3) ),
inference(backward_demodulation,[status(thm)],[f756,f1006]) ).
fof(f2450,plain,
( sQ84_spl
| ~ sQ23_spl
| e2 != op(op(e1,e3),e3) ),
inference(forward_demodulation,[status(thm)],[f756,f2449]) ).
fof(f2451,plain,
( sQ84_spl
| ~ sQ23_spl
| ~ sQ28_spl
| e2 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f773,f2450]) ).
fof(f2462,plain,
( ~ sQ58_spl
| ~ sQ59_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f873,f870]) ).
fof(f2463,plain,
( ~ sQ58_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2462,f131]) ).
fof(f2464,plain,
( ~ sQ58_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f2463]) ).
fof(f2466,plain,
( ~ sQ49_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f1905,f866,f840]) ).
fof(f2470,plain,
( ~ sQ20_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f2200,f798,f746]) ).
fof(f2471,plain,
( ~ sQ20_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f2207,f733,f746]) ).
fof(f2472,plain,
( sQ81_spl
| ~ sQ61_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f2349,f850,f879,f991]) ).
fof(f2476,plain,
( ~ sQ26_spl
| e2 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f766,f93]) ).
fof(f2477,plain,
( ~ sQ26_spl
| e2 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f766,f113]) ).
fof(f2480,plain,
( ~ sQ26_spl
| e2 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f766,f94]) ).
fof(f2482,plain,
( ~ sQ26_spl
| op(e1,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f766,f109]) ).
fof(f2567,plain,
( ~ sQ50_spl
| e2 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f844,f120]) ).
fof(f2597,plain,
( sQ87_spl
| ~ sQ1_spl
| ~ sQ6_spl
| e3 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f701,f2015]) ).
fof(f2598,plain,
( sQ87_spl
| ~ sQ1_spl
| ~ sQ6_spl
| ~ sQ39_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f808,f2597]) ).
fof(f2599,plain,
( sQ87_spl
| ~ sQ1_spl
| ~ sQ6_spl
| ~ sQ39_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2598]) ).
fof(f2600,plain,
( sQ87_spl
| ~ sQ1_spl
| ~ sQ6_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f2599]) ).
fof(f2601,plain,
( sQ76_spl
| ~ sQ1_spl
| e2 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f685,f974]) ).
fof(f2602,plain,
( sQ76_spl
| ~ sQ1_spl
| ~ sQ6_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f701,f2601]) ).
fof(f2603,plain,
( sQ76_spl
| ~ sQ1_spl
| ~ sQ6_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2602]) ).
fof(f2604,plain,
( sQ76_spl
| ~ sQ1_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f2603]) ).
fof(f2609,plain,
( ~ sQ26_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f2480,f869,f765]) ).
fof(f2616,plain,
( ~ sQ25_spl
| ~ sQ26_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f766,f763]) ).
fof(f2617,plain,
( ~ sQ25_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2616,f129]) ).
fof(f2618,plain,
( ~ sQ25_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f2617]) ).
fof(f2623,plain,
( sQ84_spl
| ~ sQ23_spl
| ~ sQ28_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f2451,f726,f772,f755,f1004]) ).
fof(f2632,plain,
( ~ sQ5_spl
| e1 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f698,f84]) ).
fof(f2690,plain,
( sQ75_spl
| ~ sQ3_spl
| e1 != op(op(e0,op(e0,e0)),e3) ),
inference(backward_demodulation,[status(thm)],[f691,f971]) ).
fof(f2691,plain,
( sQ75_spl
| ~ sQ3_spl
| e1 != op(op(e0,e3),e3) ),
inference(forward_demodulation,[status(thm)],[f691,f2690]) ).
fof(f2692,plain,
( sQ75_spl
| ~ sQ3_spl
| ~ sQ14_spl
| e1 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f727,f2691]) ).
fof(f2693,plain,
( sQ75_spl
| ~ sQ3_spl
| ~ sQ14_spl
| ~ sQ45_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f828,f2692]) ).
fof(f2694,plain,
( sQ75_spl
| ~ sQ3_spl
| ~ sQ14_spl
| ~ sQ45_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2693]) ).
fof(f2695,plain,
( sQ75_spl
| ~ sQ3_spl
| ~ sQ14_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f2694]) ).
fof(f2699,plain,
( sQ76_spl
| ~ sQ3_spl
| e2 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f691,f974]) ).
fof(f2700,plain,
( sQ76_spl
| ~ sQ3_spl
| ~ sQ14_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f727,f2699]) ).
fof(f2701,plain,
( sQ76_spl
| ~ sQ3_spl
| ~ sQ14_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2700]) ).
fof(f2702,plain,
( sQ76_spl
| ~ sQ3_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f2701]) ).
fof(f2709,plain,
( ~ sQ20_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f2202,f694,f746]) ).
fof(f2712,plain,
( ~ sQ26_spl
| op(e0,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f766,f90]) ).
fof(f2713,plain,
( ~ sQ0_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f2238,f694,f681]) ).
fof(f2717,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f698,f695]) ).
fof(f2718,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2717,f126]) ).
fof(f2719,plain,
( ~ sQ4_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f2718]) ).
fof(f2721,plain,
( ~ sQ22_spl
| ~ sQ26_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f766,f1991]) ).
fof(f2722,plain,
( ~ sQ22_spl
| ~ sQ26_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2721]) ).
fof(f2723,plain,
( ~ sQ22_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f2722]) ).
fof(f2724,plain,
( ~ sQ16_spl
| ~ sQ17_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f737,f734]) ).
fof(f2725,plain,
( ~ sQ16_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2724,f126]) ).
fof(f2726,plain,
( ~ sQ16_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f2725]) ).
fof(f2727,plain,
( ~ sQ28_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f2407,f746,f772]) ).
fof(f2728,plain,
( ~ sQ12_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f2186,f772,f720]) ).
fof(f2729,plain,
( ~ sQ5_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f2632,f749,f697]) ).
fof(f2731,plain,
( ~ sQ10_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f2176,f687,f713]) ).
fof(f2804,plain,
( ~ sQ53_spl
| e1 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f854,f124]) ).
fof(f2849,plain,
( ~ sQ53_spl
| op(e1,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f854,f88]) ).
fof(f2891,plain,
( sQ83_spl
| ~ sQ2_spl
| e1 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f688,f1001]) ).
fof(f2893,plain,
( sQ77_spl
| ~ sQ2_spl
| e3 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f688,f978]) ).
fof(f2896,plain,
( sQ83_spl
| ~ sQ2_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f2891,f710,f687,f999]) ).
fof(f2952,plain,
( sQ80_spl
| ~ sQ62_spl
| e1 != op(op(e3,op(e3,e3)),e2) ),
inference(backward_demodulation,[status(thm)],[f883,f990]) ).
fof(f2953,plain,
( sQ72_spl
| ~ sQ62_spl
| e0 != op(op(e3,op(e3,e3)),e2) ),
inference(backward_demodulation,[status(thm)],[f883,f960]) ).
fof(f2955,plain,
( sQ80_spl
| ~ sQ62_spl
| e1 != op(op(e3,e2),e2) ),
inference(forward_demodulation,[status(thm)],[f883,f2952]) ).
fof(f2956,plain,
( sQ80_spl
| ~ sQ62_spl
| ~ sQ56_spl
| e1 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f864,f2955]) ).
fof(f2957,plain,
( sQ80_spl
| ~ sQ62_spl
| ~ sQ56_spl
| ~ sQ9_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f711,f2956]) ).
fof(f2958,plain,
( sQ80_spl
| ~ sQ62_spl
| ~ sQ56_spl
| ~ sQ9_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2957]) ).
fof(f2959,plain,
( sQ80_spl
| ~ sQ62_spl
| ~ sQ56_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f2958]) ).
fof(f2960,plain,
( sQ72_spl
| ~ sQ62_spl
| e0 != op(op(e3,e2),e2) ),
inference(forward_demodulation,[status(thm)],[f883,f2953]) ).
fof(f2966,plain,
( sQ81_spl
| ~ sQ62_spl
| e0 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f883,f993]) ).
fof(f2967,plain,
( sQ81_spl
| ~ sQ62_spl
| ~ sQ56_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f864,f2966]) ).
fof(f2968,plain,
( sQ81_spl
| ~ sQ62_spl
| ~ sQ56_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2967]) ).
fof(f2969,plain,
( sQ81_spl
| ~ sQ62_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f2968]) ).
fof(f2975,plain,
( sQ77_spl
| ~ sQ2_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f2893,f716,f687,f976]) ).
fof(f3008,plain,
( ~ sQ31_spl
| e3 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f782,f99]) ).
fof(f3069,plain,
( sQ72_spl
| ~ sQ62_spl
| ~ sQ57_spl
| e0 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f867,f2960]) ).
fof(f3070,plain,
( sQ72_spl
| ~ sQ62_spl
| ~ sQ57_spl
| ~ sQ24_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f760,f3069]) ).
fof(f3071,plain,
( sQ72_spl
| ~ sQ62_spl
| ~ sQ57_spl
| ~ sQ24_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3070]) ).
fof(f3072,plain,
( sQ72_spl
| ~ sQ62_spl
| ~ sQ57_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f3071]) ).
fof(f3076,plain,
( sQ73_spl
| ~ sQ62_spl
| e1 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f883,f963]) ).
fof(f3077,plain,
( sQ73_spl
| ~ sQ62_spl
| ~ sQ57_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f867,f3076]) ).
fof(f3078,plain,
( sQ73_spl
| ~ sQ62_spl
| ~ sQ57_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3077]) ).
fof(f3079,plain,
( sQ73_spl
| ~ sQ62_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f3078]) ).
fof(f3090,plain,
( ~ sQ26_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f2476,f817,f765]) ).
fof(f3092,plain,
( ~ sQ50_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f2567,f856,f843]) ).
fof(f3105,plain,
( sQ82_spl
| ~ sQ3_spl
| e2 != op(op(e0,e3),op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f691,f998]) ).
fof(f3106,plain,
( sQ82_spl
| ~ sQ3_spl
| e2 != op(op(e0,e3),e3) ),
inference(forward_demodulation,[status(thm)],[f691,f3105]) ).
fof(f3177,plain,
( sQ82_spl
| ~ sQ3_spl
| ~ sQ13_spl
| e2 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f724,f3106]) ).
fof(f3180,plain,
( sQ82_spl
| ~ sQ3_spl
| ~ sQ13_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f3177,f778,f723,f690,f996]) ).
fof(f3181,plain,
( ~ sQ53_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f2849,f749,f853]) ).
fof(f3183,plain,
( ~ sQ26_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f2482,f739,f765]) ).
fof(f3184,plain,
( ~ sQ31_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f3008,f833,f781]) ).
fof(f3185,plain,
( ~ sQ53_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f2804,f879,f853]) ).
fof(f3187,plain,
( ~ sQ11_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f1613,f703,f716]) ).
fof(f3189,plain,
( ~ sQ18_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f2167,f843,f739]) ).
fof(f3338,plain,
( sQ66_spl
| ~ sQ23_spl
| ~ sQ30_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f779,f1848]) ).
fof(f3339,plain,
( sQ66_spl
| ~ sQ23_spl
| ~ sQ30_spl
| ~ sQ44_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f825,f3338]) ).
fof(f3340,plain,
( sQ66_spl
| ~ sQ23_spl
| ~ sQ30_spl
| ~ sQ44_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3339]) ).
fof(f3341,plain,
( sQ66_spl
| ~ sQ23_spl
| ~ sQ30_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f3340]) ).
fof(f3342,plain,
( sQ67_spl
| ~ sQ23_spl
| e2 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f756,f941]) ).
fof(f3343,plain,
( sQ67_spl
| ~ sQ23_spl
| ~ sQ30_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f779,f3342]) ).
fof(f3344,plain,
( sQ67_spl
| ~ sQ23_spl
| ~ sQ30_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3343]) ).
fof(f3345,plain,
( sQ67_spl
| ~ sQ23_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f3344]) ).
fof(f3361,plain,
( ~ sQ26_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f2477,f778,f765]) ).
fof(f3363,plain,
( ~ sQ26_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2712,f713,f765]) ).
fof(f3411,plain,
( sQ74_spl
| ~ sQ60_spl
| e2 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f877,f967]) ).
fof(f3412,plain,
( sQ74_spl
| ~ sQ60_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f3411,f843,f876,f965]) ).
fof(f3414,plain,
( sQ80_spl
| ~ sQ60_spl
| e1 != op(op(e3,e0),op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f877,f990]) ).
fof(f3415,plain,
( sQ80_spl
| ~ sQ60_spl
| ~ sQ50_spl
| e1 != op(e2,op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f844,f3414]) ).
fof(f3416,plain,
( sQ80_spl
| ~ sQ60_spl
| ~ sQ50_spl
| e1 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f877,f3415]) ).
fof(f3492,plain,
( sQ80_spl
| ~ sQ60_spl
| ~ sQ50_spl
| ~ sQ33_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f789,f3416]) ).
fof(f3493,plain,
( sQ80_spl
| ~ sQ60_spl
| ~ sQ50_spl
| ~ sQ33_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3492]) ).
fof(f3494,plain,
( sQ80_spl
| ~ sQ60_spl
| ~ sQ50_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f3493]) ).
fof(f3495,plain,
$false,
inference(sat_refutation,[status(thm)],[f693,f706,f719,f732,f745,f758,f771,f784,f797,f810,f823,f836,f849,f862,f875,f888,f889,f890,f891,f892,f893,f894,f895,f896,f897,f898,f899,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f911,f912,f913,f914,f915,f916,f917,f918,f919,f920,f924,f925,f930,f932,f933,f934,f942,f964,f975,f979,f994,f995,f1002,f1010,f1015,f1016,f1020,f1021,f1025,f1030,f1035,f1036,f1037,f1038,f1039,f1043,f1044,f1048,f1052,f1053,f1055,f1063,f1064,f1065,f1066,f1071,f1072,f1076,f1081,f1083,f1088,f1089,f1090,f1091,f1092,f1093,f1097,f1098,f1099,f1100,f1105,f1106,f1114,f1115,f1117,f1122,f1123,f1124,f1125,f1126,f1127,f1131,f1132,f1133,f1134,f1135,f1139,f1140,f1144,f1148,f1151,f1156,f1157,f1158,f1159,f1160,f1161,f1165,f1166,f1168,f1173,f1178,f1182,f1184,f1185,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1199,f1200,f1201,f1202,f1203,f1207,f1208,f1212,f1218,f1219,f1220,f1224,f1225,f1226,f1227,f1228,f1229,f1233,f1234,f1235,f1236,f1237,f1241,f1242,f1250,f1252,f1253,f1254,f1255,f1258,f1259,f1260,f1261,f1262,f1263,f1267,f1268,f1269,f1270,f1271,f1275,f1276,f1280,f1285,f1287,f1288,f1290,f1292,f1293,f1294,f1295,f1296,f1297,f1301,f1302,f1303,f1304,f1305,f1309,f1310,f1314,f1319,f1320,f1321,f1322,f1323,f1326,f1327,f1328,f1330,f1331,f1335,f1336,f1338,f1343,f1348,f1353,f1354,f1355,f1356,f1358,f1359,f1360,f1361,f1362,f1364,f1365,f1369,f1370,f1371,f1372,f1377,f1378,f1382,f1387,f1388,f1389,f1390,f1393,f1394,f1395,f1396,f1398,f1399,f1403,f1404,f1405,f1406,f1407,f1411,f1412,f1420,f1421,f1422,f1423,f1424,f1426,f1428,f1429,f1430,f1432,f1433,f1437,f1438,f1439,f1440,f1441,f1445,f1446,f1454,f1455,f1456,f1457,f1459,f1463,f1464,f1465,f1466,f1467,f1471,f1472,f1473,f1474,f1475,f1479,f1480,f1484,f1488,f1489,f1490,f1491,f1492,f1493,f1494,f1497,f1498,f1499,f1500,f1501,f1502,f1503,f1506,f1515,f1516,f1517,f1518,f1519,f1520,f1521,f1523,f1524,f1525,f1526,f1527,f1529,f1530,f1531,f1532,f1533,f1544,f1547,f1550,f1553,f1557,f1563,f1569,f1573,f1577,f1583,f1586,f1589,f1595,f1596,f1599,f1602,f1603,f1607,f1610,f1611,f1616,f1617,f1622,f1623,f1624,f1627,f1630,f1631,f1635,f1642,f1645,f1646,f1647,f1650,f1652,f1654,f1668,f1669,f1670,f1671,f1672,f1673,f1674,f1677,f1678,f1679,f1695,f1699,f1700,f1701,f1702,f1712,f1716,f1717,f1718,f1719,f1720,f1721,f1722,f1733,f1734,f1738,f1743,f1744,f1745,f1746,f1747,f1760,f1763,f1764,f1765,f1766,f1767,f1773,f1779,f1780,f1781,f1783,f1784,f1787,f1795,f1799,f1801,f1824,f1825,f1838,f1840,f1842,f1843,f1862,f1864,f1868,f1873,f1874,f1877,f1878,f1879,f1880,f1882,f1883,f1884,f1889,f1890,f1891,f1899,f1900,f1901,f1914,f1943,f1944,f1945,f1948,f1958,f1964,f1965,f1966,f1967,f1968,f1969,f1974,f1975,f1976,f2028,f2032,f2037,f2038,f2041,f2042,f2044,f2046,f2047,f2048,f2049,f2050,f2051,f2082,f2085,f2086,f2091,f2096,f2098,f2120,f2143,f2147,f2150,f2154,f2156,f2157,f2162,f2163,f2174,f2175,f2187,f2188,f2192,f2193,f2194,f2195,f2196,f2297,f2311,f2314,f2316,f2319,f2386,f2388,f2392,f2464,f2466,f2470,f2471,f2472,f2600,f2604,f2609,f2618,f2623,f2695,f2702,f2709,f2713,f2719,f2723,f2726,f2727,f2728,f2729,f2731,f2896,f2959,f2969,f2975,f3072,f3079,f3090,f3092,f3180,f3181,f3183,f3184,f3185,f3187,f3189,f3341,f3345,f3361,f3363,f3412,f3494]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG158+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.38 % Computer : n014.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 21 12:59:35 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.40 % Drodi V4.1.1
% 1.17/0.69 % Refutation found
% 1.17/0.69 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.17/0.69 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.17/0.73 % Elapsed time: 0.336494 seconds
% 1.17/0.73 % CPU time: 2.303576 seconds
% 1.17/0.73 % Total memory used: 40.861 MB
% 1.17/0.73 % Net memory used: 40.405 MB
%------------------------------------------------------------------------------