%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG063+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 : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 11:47:59 AM UTC 2026
% Result : Theorem 0.27s 0.60s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 185
% Syntax : Number of formulae : 982 ( 106 unt; 178 def)
% Number of atoms : 4217 (2602 equ)
% Maximal formula atoms : 250 ( 4 avg)
% Number of connectives : 4737 (1502 ~;1982 |;1052 &)
% ( 201 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 180 ( 178 usr; 179 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op(e4,e4) = e4
| op(e4,e4) = e3
| op(e4,e4) = e2
| op(e4,e4) = e1
| op(e4,e4) = e0 )
& ( op(e4,e3) = e4
| op(e4,e3) = e3
| op(e4,e3) = e2
| op(e4,e3) = e1
| op(e4,e3) = e0 )
& ( op(e4,e2) = e4
| op(e4,e2) = e3
| op(e4,e2) = e2
| op(e4,e2) = e1
| op(e4,e2) = e0 )
& ( op(e4,e1) = e4
| op(e4,e1) = e3
| op(e4,e1) = e2
| op(e4,e1) = e1
| op(e4,e1) = e0 )
& ( op(e4,e0) = e4
| op(e4,e0) = e3
| op(e4,e0) = e2
| op(e4,e0) = e1
| op(e4,e0) = e0 )
& ( op(e3,e4) = e4
| op(e3,e4) = e3
| op(e3,e4) = e2
| op(e3,e4) = e1
| op(e3,e4) = e0 )
& ( op(e3,e3) = e4
| op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 )
& ( op(e3,e2) = e4
| op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 )
& ( op(e3,e1) = e4
| op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 )
& ( op(e3,e0) = e4
| op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 )
& ( op(e2,e4) = e4
| op(e2,e4) = e3
| op(e2,e4) = e2
| op(e2,e4) = e1
| op(e2,e4) = e0 )
& ( op(e2,e3) = e4
| op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 )
& ( op(e2,e2) = e4
| op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 )
& ( op(e2,e1) = e4
| op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 )
& ( op(e2,e0) = e4
| op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 )
& ( op(e1,e4) = e4
| op(e1,e4) = e3
| op(e1,e4) = e2
| op(e1,e4) = e1
| op(e1,e4) = e0 )
& ( op(e1,e3) = e4
| op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 )
& ( op(e1,e2) = e4
| op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 )
& ( op(e1,e1) = e4
| op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 )
& ( op(e1,e0) = e4
| op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 )
& ( op(e0,e4) = e4
| op(e0,e4) = e3
| op(e0,e4) = e2
| op(e0,e4) = e1
| op(e0,e4) = e0 )
& ( op(e0,e3) = e4
| op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 )
& ( op(e0,e2) = e4
| op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 )
& ( op(e0,e1) = e4
| op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 )
& ( op(e0,e0) = e4
| op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
( ( unit = e4
| unit = e3
| unit = e2
| unit = e1
| unit = e0 )
& op(e4,unit) = e4
& op(unit,e4) = e4
& op(e3,unit) = e3
& op(unit,e3) = e3
& op(e2,unit) = e2
& op(unit,e2) = e2
& op(e1,unit) = e1
& op(unit,e1) = e1
& op(e0,unit) = e0
& op(unit,e0) = e0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
( ( op(e4,e4) = e4
| op(e3,e4) = e4
| op(e2,e4) = e4
| op(e1,e4) = e4
| op(e0,e4) = e4 )
& ( op(e4,e4) = e4
| op(e4,e3) = e4
| op(e4,e2) = e4
| op(e4,e1) = e4
| op(e4,e0) = e4 )
& ( op(e4,e4) = e3
| op(e3,e4) = e3
| op(e2,e4) = e3
| op(e1,e4) = e3
| op(e0,e4) = e3 )
& ( op(e4,e4) = e3
| op(e4,e3) = e3
| op(e4,e2) = e3
| op(e4,e1) = e3
| op(e4,e0) = e3 )
& ( op(e4,e4) = e2
| op(e3,e4) = e2
| op(e2,e4) = e2
| op(e1,e4) = e2
| op(e0,e4) = e2 )
& ( op(e4,e4) = e2
| op(e4,e3) = e2
| op(e4,e2) = e2
| op(e4,e1) = e2
| op(e4,e0) = e2 )
& ( op(e4,e4) = e1
| op(e3,e4) = e1
| op(e2,e4) = e1
| op(e1,e4) = e1
| op(e0,e4) = e1 )
& ( op(e4,e4) = e1
| op(e4,e3) = e1
| op(e4,e2) = e1
| op(e4,e1) = e1
| op(e4,e0) = e1 )
& ( op(e4,e4) = e0
| op(e3,e4) = e0
| op(e2,e4) = e0
| op(e1,e4) = e0
| op(e0,e4) = e0 )
& ( op(e4,e4) = e0
| op(e4,e3) = e0
| op(e4,e2) = e0
| op(e4,e1) = e0
| op(e4,e0) = e0 )
& ( op(e4,e3) = e4
| op(e3,e3) = e4
| op(e2,e3) = e4
| op(e1,e3) = e4
| op(e0,e3) = e4 )
& ( op(e3,e4) = e4
| op(e3,e3) = e4
| op(e3,e2) = e4
| op(e3,e1) = e4
| op(e3,e0) = e4 )
& ( op(e4,e3) = e3
| op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 )
& ( op(e3,e4) = e3
| op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 )
& ( op(e4,e3) = e2
| op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 )
& ( op(e3,e4) = e2
| op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 )
& ( op(e4,e3) = e1
| op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 )
& ( op(e3,e4) = e1
| op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 )
& ( op(e4,e3) = e0
| op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 )
& ( op(e3,e4) = e0
| op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 )
& ( op(e4,e2) = e4
| op(e3,e2) = e4
| op(e2,e2) = e4
| op(e1,e2) = e4
| op(e0,e2) = e4 )
& ( op(e2,e4) = e4
| op(e2,e3) = e4
| op(e2,e2) = e4
| op(e2,e1) = e4
| op(e2,e0) = e4 )
& ( op(e4,e2) = e3
| op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 )
& ( op(e2,e4) = e3
| op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 )
& ( op(e4,e2) = e2
| op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 )
& ( op(e2,e4) = e2
| op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 )
& ( op(e4,e2) = e1
| op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 )
& ( op(e2,e4) = e1
| op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 )
& ( op(e4,e2) = e0
| op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 )
& ( op(e2,e4) = e0
| op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 )
& ( op(e4,e1) = e4
| op(e3,e1) = e4
| op(e2,e1) = e4
| op(e1,e1) = e4
| op(e0,e1) = e4 )
& ( op(e1,e4) = e4
| op(e1,e3) = e4
| op(e1,e2) = e4
| op(e1,e1) = e4
| op(e1,e0) = e4 )
& ( op(e4,e1) = e3
| op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 )
& ( op(e1,e4) = e3
| op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 )
& ( op(e4,e1) = e2
| op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 )
& ( op(e1,e4) = e2
| op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 )
& ( op(e4,e1) = e1
| op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 )
& ( op(e1,e4) = e1
| op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 )
& ( op(e4,e1) = e0
| op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 )
& ( op(e1,e4) = e0
| op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 )
& ( op(e4,e0) = e4
| op(e3,e0) = e4
| op(e2,e0) = e4
| op(e1,e0) = e4
| op(e0,e0) = e4 )
& ( op(e0,e4) = e4
| op(e0,e3) = e4
| op(e0,e2) = e4
| op(e0,e1) = e4
| op(e0,e0) = e4 )
& ( op(e4,e0) = e3
| op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 )
& ( op(e0,e4) = e3
| op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 )
& ( op(e4,e0) = e2
| op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 )
& ( op(e0,e4) = e2
| op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 )
& ( op(e4,e0) = e1
| op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 )
& ( op(e0,e4) = e1
| op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 )
& ( op(e4,e0) = e0
| op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 )
& ( op(e0,e4) = e0
| op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( op(e4,e3) != op(e4,e4)
& op(e4,e2) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e2)
& op(e4,e0) != op(e4,e4)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e1)
& op(e3,e3) != op(e3,e4)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e4)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e3) != op(e2,e4)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e4)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e3) != op(e1,e4)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e3) != op(e0,e4)
& op(e0,e2) != op(e0,e4)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e4)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e3,e4) != op(e4,e4)
& op(e2,e4) != op(e4,e4)
& op(e2,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e2,e4)
& op(e0,e4) != op(e4,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e1,e4)
& op(e3,e3) != op(e4,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e4,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e3,e2) != op(e4,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e4,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e3,e1) != op(e4,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e4,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e3,e0) != op(e4,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( e3 != e4
& e2 != e4
& e2 != e3
& e1 != e4
& e1 != e3
& e1 != e2
& e0 != e4
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
( e4 = op(e1,e1)
& e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
& e2 = op(op(e1,e1),op(e1,e1))
& e0 = op(e1,op(op(e1,e1),op(e1,e1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,conjecture,
~ ( ( ( op(e4,e4) != e4
& op(e4,e4) = e4
& op(e4,e4) = e4 )
| ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 )
| ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e3,e4) != e3
& op(e4,e4) = e3
& op(e3,e3) = e4 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e2,e4) != e2
& op(e4,e4) = e2
& op(e2,e2) = e4 )
| ( op(e2,e3) != e2
& op(e3,e3) = e2
& op(e2,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e1,e4) != e1
& op(e4,e4) = e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) )
& ( op(e4,e4) = e4
| op(e3,e3) = e4
| op(e2,e2) = e4
| op(e1,e1) = e4
| op(e0,e0) = e4 )
& ( op(e4,e4) = e3
| op(e3,e3) = e3
| op(e2,e2) = e3
| op(e1,e1) = e3
| op(e0,e0) = e3 )
& ( op(e4,e4) = e2
| op(e3,e3) = e2
| op(e2,e2) = e2
| op(e1,e1) = e2
| op(e0,e0) = e2 )
& ( op(e4,e4) = e1
| op(e3,e3) = e1
| op(e2,e2) = e1
| op(e1,e1) = e1
| op(e0,e0) = e1 )
& ( op(e4,e4) = e0
| op(e3,e3) = e0
| op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
~ ~ ( ( ( op(e4,e4) != e4
& op(e4,e4) = e4
& op(e4,e4) = e4 )
| ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 )
| ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e3,e4) != e3
& op(e4,e4) = e3
& op(e3,e3) = e4 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e2,e4) != e2
& op(e4,e4) = e2
& op(e2,e2) = e4 )
| ( op(e2,e3) != e2
& op(e3,e3) = e2
& op(e2,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e1,e4) != e1
& op(e4,e4) = e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) )
& ( op(e4,e4) = e4
| op(e3,e3) = e4
| op(e2,e2) = e4
| op(e1,e1) = e4
| op(e0,e0) = e4 )
& ( op(e4,e4) = e3
| op(e3,e3) = e3
| op(e2,e2) = e3
| op(e1,e1) = e3
| op(e0,e0) = e3 )
& ( op(e4,e4) = e2
| op(e3,e3) = e2
| op(e2,e2) = e2
| op(e1,e1) = e2
| op(e0,e0) = e2 )
& ( op(e4,e4) = e1
| op(e3,e3) = e1
| op(e2,e2) = e1
| op(e1,e1) = e1
| op(e0,e0) = e1 )
& ( op(e4,e4) = e0
| op(e3,e3) = e0
| op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) = e0 ) ),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f10,plain,
( op(e0,e1) = e4
| op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f11,plain,
( op(e0,e2) = e4
| op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f13,plain,
( op(e0,e4) = e4
| op(e0,e4) = e3
| op(e0,e4) = e2
| op(e0,e4) = e1
| op(e0,e4) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f14,plain,
( op(e1,e0) = e4
| op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f15,plain,
( op(e1,e1) = e4
| op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f16,plain,
( op(e1,e2) = e4
| op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f18,plain,
( op(e1,e4) = e4
| op(e1,e4) = e3
| op(e1,e4) = e2
| op(e1,e4) = e1
| op(e1,e4) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f20,plain,
( op(e2,e1) = e4
| op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f21,plain,
( op(e2,e2) = e4
| op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f22,plain,
( op(e2,e3) = e4
| op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f23,plain,
( op(e2,e4) = e4
| op(e2,e4) = e3
| op(e2,e4) = e2
| op(e2,e4) = e1
| op(e2,e4) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f28,plain,
( op(e3,e4) = e4
| op(e3,e4) = e3
| op(e3,e4) = e2
| op(e3,e4) = e1
| op(e3,e4) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f29,plain,
( op(e4,e0) = e4
| op(e4,e0) = e3
| op(e4,e0) = e2
| op(e4,e0) = e1
| op(e4,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f30,plain,
( op(e4,e1) = e4
| op(e4,e1) = e3
| op(e4,e1) = e2
| op(e4,e1) = e1
| op(e4,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f31,plain,
( op(e4,e2) = e4
| op(e4,e2) = e3
| op(e4,e2) = e2
| op(e4,e2) = e1
| op(e4,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f32,plain,
( op(e4,e3) = e4
| op(e4,e3) = e3
| op(e4,e3) = e2
| op(e4,e3) = e1
| op(e4,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f33,plain,
( op(e4,e4) = e4
| op(e4,e4) = e3
| op(e4,e4) = e2
| op(e4,e4) = e1
| op(e4,e4) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f36,plain,
op(unit,e1) = e1,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f38,plain,
op(unit,e2) = e2,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f39,plain,
op(e2,unit) = e2,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f41,plain,
op(e3,unit) = e3,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f42,plain,
op(unit,e4) = e4,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f43,plain,
op(e4,unit) = e4,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f44,plain,
( unit = e4
| unit = e3
| unit = e2
| unit = e1
| unit = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f45,plain,
( op(e0,e4) = e0
| op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f49,plain,
( op(e0,e4) = e2
| op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f50,plain,
( op(e4,e0) = e2
| op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f51,plain,
( op(e0,e4) = e3
| op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f53,plain,
( op(e0,e4) = e4
| op(e0,e3) = e4
| op(e0,e2) = e4
| op(e0,e1) = e4
| op(e0,e0) = e4 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f54,plain,
( op(e4,e0) = e4
| op(e3,e0) = e4
| op(e2,e0) = e4
| op(e1,e0) = e4
| op(e0,e0) = e4 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f56,plain,
( op(e4,e1) = e0
| op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f57,plain,
( op(e1,e4) = e1
| op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f58,plain,
( op(e4,e1) = e1
| op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f59,plain,
( op(e1,e4) = e2
| op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f60,plain,
( op(e4,e1) = e2
| op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f61,plain,
( op(e1,e4) = e3
| op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f62,plain,
( op(e4,e1) = e3
| op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f65,plain,
( op(e2,e4) = e0
| op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f67,plain,
( op(e2,e4) = e1
| op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f68,plain,
( op(e4,e2) = e1
| op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f69,plain,
( op(e2,e4) = e2
| op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f70,plain,
( op(e4,e2) = e2
| op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f73,plain,
( op(e2,e4) = e4
| op(e2,e3) = e4
| op(e2,e2) = e4
| op(e2,e1) = e4
| op(e2,e0) = e4 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f74,plain,
( op(e4,e2) = e4
| op(e3,e2) = e4
| op(e2,e2) = e4
| op(e1,e2) = e4
| op(e0,e2) = e4 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f77,plain,
( op(e3,e4) = e1
| op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f80,plain,
( op(e4,e3) = e2
| op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f81,plain,
( op(e3,e4) = e3
| op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f82,plain,
( op(e4,e3) = e3
| op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f83,plain,
( op(e3,e4) = e4
| op(e3,e3) = e4
| op(e3,e2) = e4
| op(e3,e1) = e4
| op(e3,e0) = e4 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f85,plain,
( op(e4,e4) = e0
| op(e4,e3) = e0
| op(e4,e2) = e0
| op(e4,e1) = e0
| op(e4,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f86,plain,
( op(e4,e4) = e0
| op(e3,e4) = e0
| op(e2,e4) = e0
| op(e1,e4) = e0
| op(e0,e4) = e0 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f87,plain,
( op(e4,e4) = e1
| op(e4,e3) = e1
| op(e4,e2) = e1
| op(e4,e1) = e1
| op(e4,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f88,plain,
( op(e4,e4) = e1
| op(e3,e4) = e1
| op(e2,e4) = e1
| op(e1,e4) = e1
| op(e0,e4) = e1 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f91,plain,
( op(e4,e4) = e3
| op(e4,e3) = e3
| op(e4,e2) = e3
| op(e4,e1) = e3
| op(e4,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f92,plain,
( op(e4,e4) = e3
| op(e3,e4) = e3
| op(e2,e4) = e3
| op(e1,e4) = e3
| op(e0,e4) = e3 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f93,plain,
( op(e4,e4) = e4
| op(e4,e3) = e4
| op(e4,e2) = e4
| op(e4,e1) = e4
| op(e4,e0) = e4 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f94,plain,
( op(e4,e4) = e4
| op(e3,e4) = e4
| op(e2,e4) = e4
| op(e1,e4) = e4
| op(e0,e4) = e4 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f96,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f97,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f98,plain,
op(e0,e0) != op(e4,e0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f101,plain,
op(e1,e0) != op(e4,e0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f102,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f105,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f106,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f107,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f108,plain,
op(e0,e1) != op(e4,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f109,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f111,plain,
op(e1,e1) != op(e4,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f113,plain,
op(e2,e1) != op(e4,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f114,plain,
op(e3,e1) != op(e4,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f115,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f121,plain,
op(e1,e2) != op(e4,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f122,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f123,plain,
op(e2,e2) != op(e4,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f125,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f126,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f128,plain,
op(e0,e3) != op(e4,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f131,plain,
op(e1,e3) != op(e4,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f132,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f134,plain,
op(e3,e3) != op(e4,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f146,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f148,plain,
op(e0,e0) != op(e0,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f150,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f151,plain,
op(e0,e1) != op(e0,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f155,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f157,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f158,plain,
op(e1,e0) != op(e1,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f163,plain,
op(e1,e2) != op(e1,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f165,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f170,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f173,plain,
op(e2,e2) != op(e2,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f174,plain,
op(e2,e3) != op(e2,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f178,plain,
op(e3,e0) != op(e3,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f180,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f181,plain,
op(e3,e1) != op(e3,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f182,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f183,plain,
op(e3,e2) != op(e3,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f186,plain,
op(e4,e0) != op(e4,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f192,plain,
op(e4,e2) != op(e4,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f194,plain,
op(e4,e3) != op(e4,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f195,plain,
e0 != e1,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f196,plain,
e0 != e2,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f197,plain,
e0 != e3,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f198,plain,
e0 != e4,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f199,plain,
e1 != e2,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f200,plain,
e1 != e3,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f201,plain,
e1 != e4,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f202,plain,
e2 != e3,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f203,plain,
e2 != e4,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f204,plain,
e3 != e4,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f205,plain,
e0 = op(e1,op(op(e1,e1),op(e1,e1))),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f206,plain,
e2 = op(op(e1,e1),op(e1,e1)),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f207,plain,
e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f208,plain,
e4 = op(e1,e1),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f209,definition,
( sP0_prd
<=> ( ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 )
| ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e3,e4) != e3
& op(e4,e4) = e3
& op(e3,e3) = e4 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e2,e4) != e2
& op(e4,e4) = e2
& op(e2,e2) = e4 )
| ( op(e2,e3) != e2
& op(e3,e3) = e2
& op(e2,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e1,e4) != e1
& op(e4,e4) = e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f210,plain,
( ( ( op(e4,e4) != e4
& op(e4,e4) = e4
& op(e4,e4) = e4 )
| sP0_prd )
& ( op(e4,e4) = e4
| op(e3,e3) = e4
| op(e2,e2) = e4
| op(e1,e1) = e4
| op(e0,e0) = e4 )
& ( op(e4,e4) = e3
| op(e3,e3) = e3
| op(e2,e2) = e3
| op(e1,e1) = e3
| op(e0,e0) = e3 )
& ( op(e4,e4) = e2
| op(e3,e3) = e2
| op(e2,e2) = e2
| op(e1,e1) = e2
| op(e0,e0) = e2 )
& ( op(e4,e4) = e1
| op(e3,e3) = e1
| op(e2,e2) = e1
| op(e1,e1) = e1
| op(e0,e0) = e1 )
& ( op(e4,e4) = e0
| op(e3,e3) = e0
| op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) = e0 ) ),
inference(formula_renaming,[status(thm)],[f8,f209]) ).
fof(f211,plain,
( op(e4,e4) = e0
| op(e3,e3) = e0
| op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f210]) ).
fof(f212,plain,
( op(e4,e4) = e1
| op(e3,e3) = e1
| op(e2,e2) = e1
| op(e1,e1) = e1
| op(e0,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f210]) ).
fof(f216,plain,
( op(e4,e4) = e4
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f210]) ).
fof(f219,definition,
( sP1_prd
<=> ( ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e3,e4) != e3
& op(e4,e4) = e3
& op(e3,e3) = e4 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e2,e4) != e2
& op(e4,e4) = e2
& op(e2,e2) = e4 )
| ( op(e2,e3) != e2
& op(e3,e3) = e2
& op(e2,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e1,e4) != e1
& op(e4,e4) = e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f220,plain,
( sP0_prd
<=> ( ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 )
| sP1_prd ) ),
inference(formula_renaming,[status(thm)],[f209,f219]) ).
fof(f221,plain,
( ( ( ( op(e4,e3) = e4
| op(e3,e3) != e4
| op(e4,e4) != e3 )
& ~ sP1_prd )
| sP0_prd )
& ( ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 )
| sP1_prd
| ~ sP0_prd ) ),
inference(NNF_transformation,[status(thm)],[f220]) ).
fof(f222,plain,
( op(e4,e4) = e3
| sP1_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f221]) ).
fof(f227,definition,
( sP2_prd
<=> ( ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e3,e4) != e3
& op(e4,e4) = e3
& op(e3,e3) = e4 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e2,e4) != e2
& op(e4,e4) = e2
& op(e2,e2) = e4 )
| ( op(e2,e3) != e2
& op(e3,e3) = e2
& op(e2,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e1,e4) != e1
& op(e4,e4) = e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f228,plain,
( sP1_prd
<=> ( ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| sP2_prd ) ),
inference(formula_renaming,[status(thm)],[f219,f227]) ).
fof(f229,plain,
( ( ( ( op(e4,e2) = e4
| op(e2,e2) != e4
| op(e4,e4) != e2 )
& ~ sP2_prd )
| sP1_prd )
& ( ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| sP2_prd
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f228]) ).
fof(f231,plain,
( op(e2,e2) = e4
| sP2_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f229]) ).
fof(f235,definition,
( sP3_prd
<=> ( ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e3,e4) != e3
& op(e4,e4) = e3
& op(e3,e3) = e4 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e2,e4) != e2
& op(e4,e4) = e2
& op(e2,e2) = e4 )
| ( op(e2,e3) != e2
& op(e3,e3) = e2
& op(e2,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e1,e4) != e1
& op(e4,e4) = e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f236,plain,
( sP2_prd
<=> ( ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| sP3_prd ) ),
inference(formula_renaming,[status(thm)],[f227,f235]) ).
fof(f237,plain,
( ( ( ( op(e4,e1) = e4
| op(e1,e1) != e4
| op(e4,e4) != e1 )
& ~ sP3_prd )
| sP2_prd )
& ( ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| sP3_prd
| ~ sP2_prd ) ),
inference(NNF_transformation,[status(thm)],[f236]) ).
fof(f238,plain,
( op(e4,e4) = e1
| sP3_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f237]) ).
fof(f243,definition,
( sP4_prd
<=> ( ( op(e3,e4) != e3
& op(e4,e4) = e3
& op(e3,e3) = e4 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e2,e4) != e2
& op(e4,e4) = e2
& op(e2,e2) = e4 )
| ( op(e2,e3) != e2
& op(e3,e3) = e2
& op(e2,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e1,e4) != e1
& op(e4,e4) = e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f244,plain,
( sP3_prd
<=> ( ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| sP4_prd ) ),
inference(formula_renaming,[status(thm)],[f235,f243]) ).
fof(f245,plain,
( ( ( ( op(e4,e0) = e4
| op(e0,e0) != e4
| op(e4,e4) != e0 )
& ~ sP4_prd )
| sP3_prd )
& ( ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| sP4_prd
| ~ sP3_prd ) ),
inference(NNF_transformation,[status(thm)],[f244]) ).
fof(f246,plain,
( op(e4,e4) = e0
| sP4_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f245]) ).
fof(f251,definition,
( sP5_prd
<=> ( ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e2,e4) != e2
& op(e4,e4) = e2
& op(e2,e2) = e4 )
| ( op(e2,e3) != e2
& op(e3,e3) = e2
& op(e2,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e1,e4) != e1
& op(e4,e4) = e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f252,plain,
( sP4_prd
<=> ( ( op(e3,e4) != e3
& op(e4,e4) = e3
& op(e3,e3) = e4 )
| sP5_prd ) ),
inference(formula_renaming,[status(thm)],[f243,f251]) ).
fof(f253,plain,
( ( ( ( op(e3,e4) = e3
| op(e4,e4) != e3
| op(e3,e3) != e4 )
& ~ sP5_prd )
| sP4_prd )
& ( ( op(e3,e4) != e3
& op(e4,e4) = e3
& op(e3,e3) = e4 )
| sP5_prd
| ~ sP4_prd ) ),
inference(NNF_transformation,[status(thm)],[f252]) ).
fof(f255,plain,
( op(e4,e4) = e3
| sP5_prd
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f253]) ).
fof(f259,definition,
( sP6_prd
<=> ( ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e2,e4) != e2
& op(e4,e4) = e2
& op(e2,e2) = e4 )
| ( op(e2,e3) != e2
& op(e3,e3) = e2
& op(e2,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e1,e4) != e1
& op(e4,e4) = e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f260,plain,
( sP5_prd
<=> ( ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| sP6_prd ) ),
inference(formula_renaming,[status(thm)],[f251,f259]) ).
fof(f261,plain,
( ( ( ( op(e3,e3) = e3
| op(e3,e3) != e3
| op(e3,e3) != e3 )
& ~ sP6_prd )
| sP5_prd )
& ( ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| sP6_prd
| ~ sP5_prd ) ),
inference(NNF_transformation,[status(thm)],[f260]) ).
fof(f262,plain,
( op(e3,e3) = e3
| sP6_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f261]) ).
fof(f264,plain,
( op(e3,e3) != e3
| sP6_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f261]) ).
fof(f267,definition,
( sP7_prd
<=> ( ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e2,e4) != e2
& op(e4,e4) = e2
& op(e2,e2) = e4 )
| ( op(e2,e3) != e2
& op(e3,e3) = e2
& op(e2,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e1,e4) != e1
& op(e4,e4) = e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).
fof(f268,plain,
( sP6_prd
<=> ( ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| sP7_prd ) ),
inference(formula_renaming,[status(thm)],[f259,f267]) ).
fof(f269,plain,
( ( ( ( op(e3,e2) = e3
| op(e2,e2) != e3
| op(e3,e3) != e2 )
& ~ sP7_prd )
| sP6_prd )
& ( ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| sP7_prd
| ~ sP6_prd ) ),
inference(NNF_transformation,[status(thm)],[f268]) ).
fof(f270,plain,
( op(e3,e3) = e2
| sP7_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f269]) ).
fof(f275,definition,
( sP8_prd
<=> ( ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e2,e4) != e2
& op(e4,e4) = e2
& op(e2,e2) = e4 )
| ( op(e2,e3) != e2
& op(e3,e3) = e2
& op(e2,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e1,e4) != e1
& op(e4,e4) = e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP8_prd])],[]) ).
fof(f276,plain,
( sP7_prd
<=> ( ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| sP8_prd ) ),
inference(formula_renaming,[status(thm)],[f267,f275]) ).
fof(f277,plain,
( ( ( ( op(e3,e1) = e3
| op(e1,e1) != e3
| op(e3,e3) != e1 )
& ~ sP8_prd )
| sP7_prd )
& ( ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| sP8_prd
| ~ sP7_prd ) ),
inference(NNF_transformation,[status(thm)],[f276]) ).
fof(f279,plain,
( op(e1,e1) = e3
| sP8_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f277]) ).
fof(f281,plain,
( ~ sP8_prd
| sP7_prd ),
inference(cnf_transformation,[status(thm)],[f277]) ).
fof(f283,definition,
( sP9_prd
<=> ( ( op(e2,e4) != e2
& op(e4,e4) = e2
& op(e2,e2) = e4 )
| ( op(e2,e3) != e2
& op(e3,e3) = e2
& op(e2,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e1,e4) != e1
& op(e4,e4) = e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP9_prd])],[]) ).
fof(f284,plain,
( sP8_prd
<=> ( ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| sP9_prd ) ),
inference(formula_renaming,[status(thm)],[f275,f283]) ).
fof(f285,plain,
( ( ( ( op(e3,e0) = e3
| op(e0,e0) != e3
| op(e3,e3) != e0 )
& ~ sP9_prd )
| sP8_prd )
& ( ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| sP9_prd
| ~ sP8_prd ) ),
inference(NNF_transformation,[status(thm)],[f284]) ).
fof(f286,plain,
( op(e3,e3) = e0
| sP9_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f285]) ).
fof(f287,plain,
( op(e0,e0) = e3
| sP9_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f285]) ).
fof(f288,plain,
( op(e3,e0) != e3
| sP9_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f285]) ).
fof(f289,plain,
( ~ sP9_prd
| sP8_prd ),
inference(cnf_transformation,[status(thm)],[f285]) ).
fof(f291,definition,
( sP10_prd
<=> ( ( op(e2,e3) != e2
& op(e3,e3) = e2
& op(e2,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e1,e4) != e1
& op(e4,e4) = e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP10_prd])],[]) ).
fof(f292,plain,
( sP9_prd
<=> ( ( op(e2,e4) != e2
& op(e4,e4) = e2
& op(e2,e2) = e4 )
| sP10_prd ) ),
inference(formula_renaming,[status(thm)],[f283,f291]) ).
fof(f293,plain,
( ( ( ( op(e2,e4) = e2
| op(e4,e4) != e2
| op(e2,e2) != e4 )
& ~ sP10_prd )
| sP9_prd )
& ( ( op(e2,e4) != e2
& op(e4,e4) = e2
& op(e2,e2) = e4 )
| sP10_prd
| ~ sP9_prd ) ),
inference(NNF_transformation,[status(thm)],[f292]) ).
fof(f294,plain,
( op(e2,e2) = e4
| sP10_prd
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f293]) ).
fof(f297,plain,
( ~ sP10_prd
| sP9_prd ),
inference(cnf_transformation,[status(thm)],[f293]) ).
fof(f299,definition,
( sP11_prd
<=> ( ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e1,e4) != e1
& op(e4,e4) = e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP11_prd])],[]) ).
fof(f300,plain,
( sP10_prd
<=> ( ( op(e2,e3) != e2
& op(e3,e3) = e2
& op(e2,e2) = e3 )
| sP11_prd ) ),
inference(formula_renaming,[status(thm)],[f291,f299]) ).
fof(f301,plain,
( ( ( ( op(e2,e3) = e2
| op(e3,e3) != e2
| op(e2,e2) != e3 )
& ~ sP11_prd )
| sP10_prd )
& ( ( op(e2,e3) != e2
& op(e3,e3) = e2
& op(e2,e2) = e3 )
| sP11_prd
| ~ sP10_prd ) ),
inference(NNF_transformation,[status(thm)],[f300]) ).
fof(f303,plain,
( op(e3,e3) = e2
| sP11_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f301]) ).
fof(f305,plain,
( ~ sP11_prd
| sP10_prd ),
inference(cnf_transformation,[status(thm)],[f301]) ).
fof(f306,plain,
( op(e2,e3) = e2
| op(e3,e3) != e2
| op(e2,e2) != e3
| sP10_prd ),
inference(cnf_transformation,[status(thm)],[f301]) ).
fof(f307,definition,
( sP12_prd
<=> ( ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e1,e4) != e1
& op(e4,e4) = e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP12_prd])],[]) ).
fof(f308,plain,
( sP11_prd
<=> ( ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| sP12_prd ) ),
inference(formula_renaming,[status(thm)],[f299,f307]) ).
fof(f309,plain,
( ( ( ( op(e2,e2) = e2
| op(e2,e2) != e2
| op(e2,e2) != e2 )
& ~ sP12_prd )
| sP11_prd )
& ( ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| sP12_prd
| ~ sP11_prd ) ),
inference(NNF_transformation,[status(thm)],[f308]) ).
fof(f310,plain,
( op(e2,e2) = e2
| sP12_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f309]) ).
fof(f313,plain,
( ~ sP12_prd
| sP11_prd ),
inference(cnf_transformation,[status(thm)],[f309]) ).
fof(f315,definition,
( sP13_prd
<=> ( ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e1,e4) != e1
& op(e4,e4) = e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP13_prd])],[]) ).
fof(f316,plain,
( sP12_prd
<=> ( ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| sP13_prd ) ),
inference(formula_renaming,[status(thm)],[f307,f315]) ).
fof(f317,plain,
( ( ( ( op(e2,e1) = e2
| op(e1,e1) != e2
| op(e2,e2) != e1 )
& ~ sP13_prd )
| sP12_prd )
& ( ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| sP13_prd
| ~ sP12_prd ) ),
inference(NNF_transformation,[status(thm)],[f316]) ).
fof(f318,plain,
( op(e2,e2) = e1
| sP13_prd
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f317]) ).
fof(f321,plain,
( ~ sP13_prd
| sP12_prd ),
inference(cnf_transformation,[status(thm)],[f317]) ).
fof(f323,definition,
( sP14_prd
<=> ( ( op(e1,e4) != e1
& op(e4,e4) = e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP14_prd])],[]) ).
fof(f324,plain,
( sP13_prd
<=> ( ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| sP14_prd ) ),
inference(formula_renaming,[status(thm)],[f315,f323]) ).
fof(f325,plain,
( ( ( ( op(e2,e0) = e2
| op(e0,e0) != e2
| op(e2,e2) != e0 )
& ~ sP14_prd )
| sP13_prd )
& ( ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| sP14_prd
| ~ sP13_prd ) ),
inference(NNF_transformation,[status(thm)],[f324]) ).
fof(f326,plain,
( op(e2,e2) = e0
| sP14_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f325]) ).
fof(f329,plain,
( ~ sP14_prd
| sP13_prd ),
inference(cnf_transformation,[status(thm)],[f325]) ).
fof(f331,definition,
( sP15_prd
<=> ( ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP15_prd])],[]) ).
fof(f332,plain,
( sP14_prd
<=> ( ( op(e1,e4) != e1
& op(e4,e4) = e1
& op(e1,e1) = e4 )
| sP15_prd ) ),
inference(formula_renaming,[status(thm)],[f323,f331]) ).
fof(f333,plain,
( ( ( ( op(e1,e4) = e1
| op(e4,e4) != e1
| op(e1,e1) != e4 )
& ~ sP15_prd )
| sP14_prd )
& ( ( op(e1,e4) != e1
& op(e4,e4) = e1
& op(e1,e1) = e4 )
| sP15_prd
| ~ sP14_prd ) ),
inference(NNF_transformation,[status(thm)],[f332]) ).
fof(f335,plain,
( op(e4,e4) = e1
| sP15_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f333]) ).
fof(f337,plain,
( ~ sP15_prd
| sP14_prd ),
inference(cnf_transformation,[status(thm)],[f333]) ).
fof(f339,definition,
( sP16_prd
<=> ( ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP16_prd])],[]) ).
fof(f340,plain,
( sP15_prd
<=> ( ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 )
| sP16_prd ) ),
inference(formula_renaming,[status(thm)],[f331,f339]) ).
fof(f341,plain,
( ( ( ( op(e1,e3) = e1
| op(e3,e3) != e1
| op(e1,e1) != e3 )
& ~ sP16_prd )
| sP15_prd )
& ( ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 )
| sP16_prd
| ~ sP15_prd ) ),
inference(NNF_transformation,[status(thm)],[f340]) ).
fof(f342,plain,
( op(e1,e1) = e3
| sP16_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f341]) ).
fof(f345,plain,
( ~ sP16_prd
| sP15_prd ),
inference(cnf_transformation,[status(thm)],[f341]) ).
fof(f347,definition,
( sP17_prd
<=> ( ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP17_prd])],[]) ).
fof(f348,plain,
( sP16_prd
<=> ( ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 )
| sP17_prd ) ),
inference(formula_renaming,[status(thm)],[f339,f347]) ).
fof(f349,plain,
( ( ( ( op(e1,e2) = e1
| op(e2,e2) != e1
| op(e1,e1) != e2 )
& ~ sP17_prd )
| sP16_prd )
& ( ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 )
| sP17_prd
| ~ sP16_prd ) ),
inference(NNF_transformation,[status(thm)],[f348]) ).
fof(f350,plain,
( op(e1,e1) = e2
| sP17_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f349]) ).
fof(f353,plain,
( ~ sP17_prd
| sP16_prd ),
inference(cnf_transformation,[status(thm)],[f349]) ).
fof(f355,definition,
( sP18_prd
<=> ( ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP18_prd])],[]) ).
fof(f356,plain,
( sP17_prd
<=> ( ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| sP18_prd ) ),
inference(formula_renaming,[status(thm)],[f347,f355]) ).
fof(f357,plain,
( ( ( ( op(e1,e1) = e1
| op(e1,e1) != e1
| op(e1,e1) != e1 )
& ~ sP18_prd )
| sP17_prd )
& ( ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| sP18_prd
| ~ sP17_prd ) ),
inference(NNF_transformation,[status(thm)],[f356]) ).
fof(f358,plain,
( op(e1,e1) = e1
| sP18_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f357]) ).
fof(f361,plain,
( ~ sP18_prd
| sP17_prd ),
inference(cnf_transformation,[status(thm)],[f357]) ).
fof(f363,definition,
( sP19_prd
<=> ( ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP19_prd])],[]) ).
fof(f364,plain,
( sP18_prd
<=> ( ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| sP19_prd ) ),
inference(formula_renaming,[status(thm)],[f355,f363]) ).
fof(f365,plain,
( ( ( ( op(e1,e0) = e1
| op(e0,e0) != e1
| op(e1,e1) != e0 )
& ~ sP19_prd )
| sP18_prd )
& ( ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| sP19_prd
| ~ sP18_prd ) ),
inference(NNF_transformation,[status(thm)],[f364]) ).
fof(f366,plain,
( op(e1,e1) = e0
| sP19_prd
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f365]) ).
fof(f369,plain,
( ~ sP19_prd
| sP18_prd ),
inference(cnf_transformation,[status(thm)],[f365]) ).
fof(f371,definition,
( sP20_prd
<=> ( ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP20_prd])],[]) ).
fof(f372,plain,
( sP19_prd
<=> ( ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| sP20_prd ) ),
inference(formula_renaming,[status(thm)],[f363,f371]) ).
fof(f373,plain,
( ( ( ( op(e0,e4) = e0
| op(e4,e4) != e0
| op(e0,e0) != e4 )
& ~ sP20_prd )
| sP19_prd )
& ( ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| sP20_prd
| ~ sP19_prd ) ),
inference(NNF_transformation,[status(thm)],[f372]) ).
fof(f374,plain,
( op(e0,e0) = e4
| sP20_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f373]) ).
fof(f375,plain,
( op(e4,e4) = e0
| sP20_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f373]) ).
fof(f377,plain,
( ~ sP20_prd
| sP19_prd ),
inference(cnf_transformation,[status(thm)],[f373]) ).
fof(f379,definition,
( sP21_prd
<=> ( ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP21_prd])],[]) ).
fof(f380,plain,
( sP20_prd
<=> ( ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| sP21_prd ) ),
inference(formula_renaming,[status(thm)],[f371,f379]) ).
fof(f381,plain,
( ( ( ( op(e0,e3) = e0
| op(e3,e3) != e0
| op(e0,e0) != e3 )
& ~ sP21_prd )
| sP20_prd )
& ( ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| sP21_prd
| ~ sP20_prd ) ),
inference(NNF_transformation,[status(thm)],[f380]) ).
fof(f382,plain,
( op(e0,e0) = e3
| sP21_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f381]) ).
fof(f383,plain,
( op(e3,e3) = e0
| sP21_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f381]) ).
fof(f384,plain,
( op(e0,e3) != e0
| sP21_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f381]) ).
fof(f385,plain,
( ~ sP21_prd
| sP20_prd ),
inference(cnf_transformation,[status(thm)],[f381]) ).
fof(f386,plain,
( op(e0,e3) = e0
| op(e3,e3) != e0
| op(e0,e0) != e3
| sP20_prd ),
inference(cnf_transformation,[status(thm)],[f381]) ).
fof(f387,definition,
( sP22_prd
<=> ( ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP22_prd])],[]) ).
fof(f388,plain,
( sP21_prd
<=> ( ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| sP22_prd ) ),
inference(formula_renaming,[status(thm)],[f379,f387]) ).
fof(f389,plain,
( ( ( ( op(e0,e2) = e0
| op(e2,e2) != e0
| op(e0,e0) != e2 )
& ~ sP22_prd )
| sP21_prd )
& ( ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| sP22_prd
| ~ sP21_prd ) ),
inference(NNF_transformation,[status(thm)],[f388]) ).
fof(f390,plain,
( op(e0,e0) = e2
| sP22_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f389]) ).
fof(f391,plain,
( op(e2,e2) = e0
| sP22_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f389]) ).
fof(f393,plain,
( ~ sP22_prd
| sP21_prd ),
inference(cnf_transformation,[status(thm)],[f389]) ).
fof(f395,definition,
( sP23_prd
<=> ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ),
introduced(definition,[new_symbols(definition,[sP23_prd])],[]) ).
fof(f396,plain,
( sP22_prd
<=> ( ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| sP23_prd ) ),
inference(formula_renaming,[status(thm)],[f387,f395]) ).
fof(f397,plain,
( ( ( ( op(e0,e1) = e0
| op(e1,e1) != e0
| op(e0,e0) != e1 )
& ~ sP23_prd )
| sP22_prd )
& ( ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| sP23_prd
| ~ sP22_prd ) ),
inference(NNF_transformation,[status(thm)],[f396]) ).
fof(f398,plain,
( op(e0,e0) = e1
| sP23_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f397]) ).
fof(f399,plain,
( op(e1,e1) = e0
| sP23_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f397]) ).
fof(f401,plain,
( ~ sP23_prd
| sP22_prd ),
inference(cnf_transformation,[status(thm)],[f397]) ).
fof(f403,plain,
( ( op(e0,e0) = e0
| op(e0,e0) != e0
| op(e0,e0) != e0
| sP23_prd )
& ( ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ~ sP23_prd ) ),
inference(NNF_transformation,[status(thm)],[f395]) ).
fof(f404,plain,
( op(e0,e0) = e0
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f403]) ).
fof(f406,plain,
( op(e0,e0) != e0
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f403]) ).
fof(f408,definition,
( sQ0_spl
<=> op(e0,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f409,plain,
( ~ sQ0_spl
| op(e0,e0) = e0 ),
inference(component_clause,[status(thm)],[f408]) ).
fof(f411,definition,
( sQ1_spl
<=> op(e0,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f412,plain,
( ~ sQ1_spl
| op(e0,e0) = e1 ),
inference(component_clause,[status(thm)],[f411]) ).
fof(f414,definition,
( sQ2_spl
<=> op(e0,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f415,plain,
( ~ sQ2_spl
| op(e0,e0) = e2 ),
inference(component_clause,[status(thm)],[f414]) ).
fof(f417,definition,
( sQ3_spl
<=> op(e0,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f418,plain,
( ~ sQ3_spl
| op(e0,e0) = e3 ),
inference(component_clause,[status(thm)],[f417]) ).
fof(f420,definition,
( sQ4_spl
<=> op(e0,e0) = e4 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f421,plain,
( ~ sQ4_spl
| op(e0,e0) = e4 ),
inference(component_clause,[status(thm)],[f420]) ).
fof(f424,definition,
( sQ5_spl
<=> op(e0,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f425,plain,
( ~ sQ5_spl
| op(e0,e1) = e0 ),
inference(component_clause,[status(thm)],[f424]) ).
fof(f427,definition,
( sQ6_spl
<=> op(e0,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f428,plain,
( ~ sQ6_spl
| op(e0,e1) = e1 ),
inference(component_clause,[status(thm)],[f427]) ).
fof(f430,definition,
( sQ7_spl
<=> op(e0,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f431,plain,
( ~ sQ7_spl
| op(e0,e1) = e2 ),
inference(component_clause,[status(thm)],[f430]) ).
fof(f433,definition,
( sQ8_spl
<=> op(e0,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f436,definition,
( sQ9_spl
<=> op(e0,e1) = e4 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f437,plain,
( ~ sQ9_spl
| op(e0,e1) = e4 ),
inference(component_clause,[status(thm)],[f436]) ).
fof(f439,plain,
( sQ9_spl
| sQ8_spl
| sQ7_spl
| sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f10,f424,f427,f430,f433,f436]) ).
fof(f440,definition,
( sQ10_spl
<=> op(e0,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f441,plain,
( ~ sQ10_spl
| op(e0,e2) = e0 ),
inference(component_clause,[status(thm)],[f440]) ).
fof(f443,definition,
( sQ11_spl
<=> op(e0,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f444,plain,
( ~ sQ11_spl
| op(e0,e2) = e1 ),
inference(component_clause,[status(thm)],[f443]) ).
fof(f446,definition,
( sQ12_spl
<=> op(e0,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f447,plain,
( ~ sQ12_spl
| op(e0,e2) = e2 ),
inference(component_clause,[status(thm)],[f446]) ).
fof(f448,plain,
( sQ12_spl
| op(e0,e2) != e2 ),
inference(component_clause,[status(thm)],[f446]) ).
fof(f449,definition,
( sQ13_spl
<=> op(e0,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f450,plain,
( ~ sQ13_spl
| op(e0,e2) = e3 ),
inference(component_clause,[status(thm)],[f449]) ).
fof(f452,definition,
( sQ14_spl
<=> op(e0,e2) = e4 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f453,plain,
( ~ sQ14_spl
| op(e0,e2) = e4 ),
inference(component_clause,[status(thm)],[f452]) ).
fof(f455,plain,
( sQ14_spl
| sQ13_spl
| sQ12_spl
| sQ11_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f11,f440,f443,f446,f449,f452]) ).
fof(f456,definition,
( sQ15_spl
<=> op(e0,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f457,plain,
( ~ sQ15_spl
| op(e0,e3) = e0 ),
inference(component_clause,[status(thm)],[f456]) ).
fof(f459,definition,
( sQ16_spl
<=> op(e0,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f460,plain,
( ~ sQ16_spl
| op(e0,e3) = e1 ),
inference(component_clause,[status(thm)],[f459]) ).
fof(f462,definition,
( sQ17_spl
<=> op(e0,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f463,plain,
( ~ sQ17_spl
| op(e0,e3) = e2 ),
inference(component_clause,[status(thm)],[f462]) ).
fof(f465,definition,
( sQ18_spl
<=> op(e0,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f466,plain,
( ~ sQ18_spl
| op(e0,e3) = e3 ),
inference(component_clause,[status(thm)],[f465]) ).
fof(f468,definition,
( sQ19_spl
<=> op(e0,e3) = e4 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f469,plain,
( ~ sQ19_spl
| op(e0,e3) = e4 ),
inference(component_clause,[status(thm)],[f468]) ).
fof(f472,definition,
( sQ20_spl
<=> op(e0,e4) = e0 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f473,plain,
( ~ sQ20_spl
| op(e0,e4) = e0 ),
inference(component_clause,[status(thm)],[f472]) ).
fof(f475,definition,
( sQ21_spl
<=> op(e0,e4) = e1 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f476,plain,
( ~ sQ21_spl
| op(e0,e4) = e1 ),
inference(component_clause,[status(thm)],[f475]) ).
fof(f478,definition,
( sQ22_spl
<=> op(e0,e4) = e2 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f479,plain,
( ~ sQ22_spl
| op(e0,e4) = e2 ),
inference(component_clause,[status(thm)],[f478]) ).
fof(f481,definition,
( sQ23_spl
<=> op(e0,e4) = e3 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f482,plain,
( ~ sQ23_spl
| op(e0,e4) = e3 ),
inference(component_clause,[status(thm)],[f481]) ).
fof(f484,definition,
( sQ24_spl
<=> op(e0,e4) = e4 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f485,plain,
( ~ sQ24_spl
| op(e0,e4) = e4 ),
inference(component_clause,[status(thm)],[f484]) ).
fof(f486,plain,
( sQ24_spl
| op(e0,e4) != e4 ),
inference(component_clause,[status(thm)],[f484]) ).
fof(f487,plain,
( sQ24_spl
| sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f13,f472,f475,f478,f481,f484]) ).
fof(f488,definition,
( sQ25_spl
<=> op(e1,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f489,plain,
( ~ sQ25_spl
| op(e1,e0) = e0 ),
inference(component_clause,[status(thm)],[f488]) ).
fof(f491,definition,
( sQ26_spl
<=> op(e1,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f492,plain,
( ~ sQ26_spl
| op(e1,e0) = e1 ),
inference(component_clause,[status(thm)],[f491]) ).
fof(f494,definition,
( sQ27_spl
<=> op(e1,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f495,plain,
( ~ sQ27_spl
| op(e1,e0) = e2 ),
inference(component_clause,[status(thm)],[f494]) ).
fof(f497,definition,
( sQ28_spl
<=> op(e1,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f498,plain,
( ~ sQ28_spl
| op(e1,e0) = e3 ),
inference(component_clause,[status(thm)],[f497]) ).
fof(f500,definition,
( sQ29_spl
<=> op(e1,e0) = e4 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f501,plain,
( ~ sQ29_spl
| op(e1,e0) = e4 ),
inference(component_clause,[status(thm)],[f500]) ).
fof(f503,plain,
( sQ29_spl
| sQ28_spl
| sQ27_spl
| sQ26_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f14,f488,f491,f494,f497,f500]) ).
fof(f504,definition,
( sQ30_spl
<=> op(e1,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f505,plain,
( ~ sQ30_spl
| op(e1,e1) = e0 ),
inference(component_clause,[status(thm)],[f504]) ).
fof(f507,definition,
( sQ31_spl
<=> op(e1,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f508,plain,
( ~ sQ31_spl
| op(e1,e1) = e1 ),
inference(component_clause,[status(thm)],[f507]) ).
fof(f510,definition,
( sQ32_spl
<=> op(e1,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f511,plain,
( ~ sQ32_spl
| op(e1,e1) = e2 ),
inference(component_clause,[status(thm)],[f510]) ).
fof(f513,definition,
( sQ33_spl
<=> op(e1,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f514,plain,
( ~ sQ33_spl
| op(e1,e1) = e3 ),
inference(component_clause,[status(thm)],[f513]) ).
fof(f516,definition,
( sQ34_spl
<=> op(e1,e1) = e4 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f519,plain,
( sQ34_spl
| sQ33_spl
| sQ32_spl
| sQ31_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f15,f504,f507,f510,f513,f516]) ).
fof(f520,definition,
( sQ35_spl
<=> op(e1,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f523,definition,
( sQ36_spl
<=> op(e1,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f524,plain,
( ~ sQ36_spl
| op(e1,e2) = e1 ),
inference(component_clause,[status(thm)],[f523]) ).
fof(f526,definition,
( sQ37_spl
<=> op(e1,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f527,plain,
( ~ sQ37_spl
| op(e1,e2) = e2 ),
inference(component_clause,[status(thm)],[f526]) ).
fof(f529,definition,
( sQ38_spl
<=> op(e1,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f530,plain,
( ~ sQ38_spl
| op(e1,e2) = e3 ),
inference(component_clause,[status(thm)],[f529]) ).
fof(f532,definition,
( sQ39_spl
<=> op(e1,e2) = e4 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f533,plain,
( ~ sQ39_spl
| op(e1,e2) = e4 ),
inference(component_clause,[status(thm)],[f532]) ).
fof(f535,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f16,f520,f523,f526,f529,f532]) ).
fof(f536,definition,
( sQ40_spl
<=> op(e1,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f537,plain,
( ~ sQ40_spl
| op(e1,e3) = e0 ),
inference(component_clause,[status(thm)],[f536]) ).
fof(f539,definition,
( sQ41_spl
<=> op(e1,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f540,plain,
( ~ sQ41_spl
| op(e1,e3) = e1 ),
inference(component_clause,[status(thm)],[f539]) ).
fof(f542,definition,
( sQ42_spl
<=> op(e1,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f543,plain,
( ~ sQ42_spl
| op(e1,e3) = e2 ),
inference(component_clause,[status(thm)],[f542]) ).
fof(f545,definition,
( sQ43_spl
<=> op(e1,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f546,plain,
( ~ sQ43_spl
| op(e1,e3) = e3 ),
inference(component_clause,[status(thm)],[f545]) ).
fof(f548,definition,
( sQ44_spl
<=> op(e1,e3) = e4 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f549,plain,
( ~ sQ44_spl
| op(e1,e3) = e4 ),
inference(component_clause,[status(thm)],[f548]) ).
fof(f552,definition,
( sQ45_spl
<=> op(e1,e4) = e0 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f553,plain,
( ~ sQ45_spl
| op(e1,e4) = e0 ),
inference(component_clause,[status(thm)],[f552]) ).
fof(f555,definition,
( sQ46_spl
<=> op(e1,e4) = e1 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f556,plain,
( ~ sQ46_spl
| op(e1,e4) = e1 ),
inference(component_clause,[status(thm)],[f555]) ).
fof(f558,definition,
( sQ47_spl
<=> op(e1,e4) = e2 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f561,definition,
( sQ48_spl
<=> op(e1,e4) = e3 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f562,plain,
( ~ sQ48_spl
| op(e1,e4) = e3 ),
inference(component_clause,[status(thm)],[f561]) ).
fof(f564,definition,
( sQ49_spl
<=> op(e1,e4) = e4 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f565,plain,
( ~ sQ49_spl
| op(e1,e4) = e4 ),
inference(component_clause,[status(thm)],[f564]) ).
fof(f567,plain,
( sQ49_spl
| sQ48_spl
| sQ47_spl
| sQ46_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f18,f552,f555,f558,f561,f564]) ).
fof(f568,definition,
( sQ50_spl
<=> op(e2,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f569,plain,
( ~ sQ50_spl
| op(e2,e0) = e0 ),
inference(component_clause,[status(thm)],[f568]) ).
fof(f571,definition,
( sQ51_spl
<=> op(e2,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f572,plain,
( ~ sQ51_spl
| op(e2,e0) = e1 ),
inference(component_clause,[status(thm)],[f571]) ).
fof(f574,definition,
( sQ52_spl
<=> op(e2,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f575,plain,
( ~ sQ52_spl
| op(e2,e0) = e2 ),
inference(component_clause,[status(thm)],[f574]) ).
fof(f577,definition,
( sQ53_spl
<=> op(e2,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f578,plain,
( ~ sQ53_spl
| op(e2,e0) = e3 ),
inference(component_clause,[status(thm)],[f577]) ).
fof(f580,definition,
( sQ54_spl
<=> op(e2,e0) = e4 ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f581,plain,
( ~ sQ54_spl
| op(e2,e0) = e4 ),
inference(component_clause,[status(thm)],[f580]) ).
fof(f584,definition,
( sQ55_spl
<=> op(e2,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f585,plain,
( ~ sQ55_spl
| op(e2,e1) = e0 ),
inference(component_clause,[status(thm)],[f584]) ).
fof(f587,definition,
( sQ56_spl
<=> op(e2,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f588,plain,
( ~ sQ56_spl
| op(e2,e1) = e1 ),
inference(component_clause,[status(thm)],[f587]) ).
fof(f590,definition,
( sQ57_spl
<=> op(e2,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f591,plain,
( ~ sQ57_spl
| op(e2,e1) = e2 ),
inference(component_clause,[status(thm)],[f590]) ).
fof(f593,definition,
( sQ58_spl
<=> op(e2,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f594,plain,
( ~ sQ58_spl
| op(e2,e1) = e3 ),
inference(component_clause,[status(thm)],[f593]) ).
fof(f596,definition,
( sQ59_spl
<=> op(e2,e1) = e4 ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f597,plain,
( ~ sQ59_spl
| op(e2,e1) = e4 ),
inference(component_clause,[status(thm)],[f596]) ).
fof(f599,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f20,f584,f587,f590,f593,f596]) ).
fof(f600,definition,
( sQ60_spl
<=> op(e2,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f601,plain,
( ~ sQ60_spl
| op(e2,e2) = e0 ),
inference(component_clause,[status(thm)],[f600]) ).
fof(f603,definition,
( sQ61_spl
<=> op(e2,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f604,plain,
( ~ sQ61_spl
| op(e2,e2) = e1 ),
inference(component_clause,[status(thm)],[f603]) ).
fof(f606,definition,
( sQ62_spl
<=> op(e2,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f607,plain,
( ~ sQ62_spl
| op(e2,e2) = e2 ),
inference(component_clause,[status(thm)],[f606]) ).
fof(f609,definition,
( sQ63_spl
<=> op(e2,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f612,definition,
( sQ64_spl
<=> op(e2,e2) = e4 ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f613,plain,
( ~ sQ64_spl
| op(e2,e2) = e4 ),
inference(component_clause,[status(thm)],[f612]) ).
fof(f615,plain,
( sQ64_spl
| sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f21,f600,f603,f606,f609,f612]) ).
fof(f616,definition,
( sQ65_spl
<=> op(e2,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f617,plain,
( ~ sQ65_spl
| op(e2,e3) = e0 ),
inference(component_clause,[status(thm)],[f616]) ).
fof(f619,definition,
( sQ66_spl
<=> op(e2,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f620,plain,
( ~ sQ66_spl
| op(e2,e3) = e1 ),
inference(component_clause,[status(thm)],[f619]) ).
fof(f622,definition,
( sQ67_spl
<=> op(e2,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f623,plain,
( ~ sQ67_spl
| op(e2,e3) = e2 ),
inference(component_clause,[status(thm)],[f622]) ).
fof(f625,definition,
( sQ68_spl
<=> op(e2,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f626,plain,
( ~ sQ68_spl
| op(e2,e3) = e3 ),
inference(component_clause,[status(thm)],[f625]) ).
fof(f628,definition,
( sQ69_spl
<=> op(e2,e3) = e4 ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f629,plain,
( ~ sQ69_spl
| op(e2,e3) = e4 ),
inference(component_clause,[status(thm)],[f628]) ).
fof(f631,plain,
( sQ69_spl
| sQ68_spl
| sQ67_spl
| sQ66_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f22,f616,f619,f622,f625,f628]) ).
fof(f632,definition,
( sQ70_spl
<=> op(e2,e4) = e0 ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f633,plain,
( ~ sQ70_spl
| op(e2,e4) = e0 ),
inference(component_clause,[status(thm)],[f632]) ).
fof(f635,definition,
( sQ71_spl
<=> op(e2,e4) = e1 ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f636,plain,
( ~ sQ71_spl
| op(e2,e4) = e1 ),
inference(component_clause,[status(thm)],[f635]) ).
fof(f638,definition,
( sQ72_spl
<=> op(e2,e4) = e2 ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f639,plain,
( ~ sQ72_spl
| op(e2,e4) = e2 ),
inference(component_clause,[status(thm)],[f638]) ).
fof(f641,definition,
( sQ73_spl
<=> op(e2,e4) = e3 ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f642,plain,
( ~ sQ73_spl
| op(e2,e4) = e3 ),
inference(component_clause,[status(thm)],[f641]) ).
fof(f644,definition,
( sQ74_spl
<=> op(e2,e4) = e4 ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f645,plain,
( ~ sQ74_spl
| op(e2,e4) = e4 ),
inference(component_clause,[status(thm)],[f644]) ).
fof(f647,plain,
( sQ74_spl
| sQ73_spl
| sQ72_spl
| sQ71_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f23,f632,f635,f638,f641,f644]) ).
fof(f648,definition,
( sQ75_spl
<=> op(e3,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f649,plain,
( ~ sQ75_spl
| op(e3,e0) = e0 ),
inference(component_clause,[status(thm)],[f648]) ).
fof(f651,definition,
( sQ76_spl
<=> op(e3,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f654,definition,
( sQ77_spl
<=> op(e3,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f655,plain,
( ~ sQ77_spl
| op(e3,e0) = e2 ),
inference(component_clause,[status(thm)],[f654]) ).
fof(f657,definition,
( sQ78_spl
<=> op(e3,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f658,plain,
( ~ sQ78_spl
| op(e3,e0) = e3 ),
inference(component_clause,[status(thm)],[f657]) ).
fof(f660,definition,
( sQ79_spl
<=> op(e3,e0) = e4 ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f661,plain,
( ~ sQ79_spl
| op(e3,e0) = e4 ),
inference(component_clause,[status(thm)],[f660]) ).
fof(f664,definition,
( sQ80_spl
<=> op(e3,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f665,plain,
( ~ sQ80_spl
| op(e3,e1) = e0 ),
inference(component_clause,[status(thm)],[f664]) ).
fof(f667,definition,
( sQ81_spl
<=> op(e3,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f668,plain,
( ~ sQ81_spl
| op(e3,e1) = e1 ),
inference(component_clause,[status(thm)],[f667]) ).
fof(f670,definition,
( sQ82_spl
<=> op(e3,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f671,plain,
( ~ sQ82_spl
| op(e3,e1) = e2 ),
inference(component_clause,[status(thm)],[f670]) ).
fof(f673,definition,
( sQ83_spl
<=> op(e3,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f674,plain,
( ~ sQ83_spl
| op(e3,e1) = e3 ),
inference(component_clause,[status(thm)],[f673]) ).
fof(f676,definition,
( sQ84_spl
<=> op(e3,e1) = e4 ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f677,plain,
( ~ sQ84_spl
| op(e3,e1) = e4 ),
inference(component_clause,[status(thm)],[f676]) ).
fof(f680,definition,
( sQ85_spl
<=> op(e3,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f681,plain,
( ~ sQ85_spl
| op(e3,e2) = e0 ),
inference(component_clause,[status(thm)],[f680]) ).
fof(f683,definition,
( sQ86_spl
<=> op(e3,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f684,plain,
( ~ sQ86_spl
| op(e3,e2) = e1 ),
inference(component_clause,[status(thm)],[f683]) ).
fof(f686,definition,
( sQ87_spl
<=> op(e3,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f687,plain,
( ~ sQ87_spl
| op(e3,e2) = e2 ),
inference(component_clause,[status(thm)],[f686]) ).
fof(f689,definition,
( sQ88_spl
<=> op(e3,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f690,plain,
( ~ sQ88_spl
| op(e3,e2) = e3 ),
inference(component_clause,[status(thm)],[f689]) ).
fof(f692,definition,
( sQ89_spl
<=> op(e3,e2) = e4 ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f693,plain,
( ~ sQ89_spl
| op(e3,e2) = e4 ),
inference(component_clause,[status(thm)],[f692]) ).
fof(f696,definition,
( sQ90_spl
<=> op(e3,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f697,plain,
( ~ sQ90_spl
| op(e3,e3) = e0 ),
inference(component_clause,[status(thm)],[f696]) ).
fof(f699,definition,
( sQ91_spl
<=> op(e3,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f700,plain,
( ~ sQ91_spl
| op(e3,e3) = e1 ),
inference(component_clause,[status(thm)],[f699]) ).
fof(f702,definition,
( sQ92_spl
<=> op(e3,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f703,plain,
( ~ sQ92_spl
| op(e3,e3) = e2 ),
inference(component_clause,[status(thm)],[f702]) ).
fof(f705,definition,
( sQ93_spl
<=> op(e3,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f706,plain,
( ~ sQ93_spl
| op(e3,e3) = e3 ),
inference(component_clause,[status(thm)],[f705]) ).
fof(f708,definition,
( sQ94_spl
<=> op(e3,e3) = e4 ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f712,definition,
( sQ95_spl
<=> op(e3,e4) = e0 ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f713,plain,
( ~ sQ95_spl
| op(e3,e4) = e0 ),
inference(component_clause,[status(thm)],[f712]) ).
fof(f715,definition,
( sQ96_spl
<=> op(e3,e4) = e1 ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f716,plain,
( ~ sQ96_spl
| op(e3,e4) = e1 ),
inference(component_clause,[status(thm)],[f715]) ).
fof(f718,definition,
( sQ97_spl
<=> op(e3,e4) = e2 ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f719,plain,
( ~ sQ97_spl
| op(e3,e4) = e2 ),
inference(component_clause,[status(thm)],[f718]) ).
fof(f721,definition,
( sQ98_spl
<=> op(e3,e4) = e3 ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f722,plain,
( ~ sQ98_spl
| op(e3,e4) = e3 ),
inference(component_clause,[status(thm)],[f721]) ).
fof(f724,definition,
( sQ99_spl
<=> op(e3,e4) = e4 ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f725,plain,
( ~ sQ99_spl
| op(e3,e4) = e4 ),
inference(component_clause,[status(thm)],[f724]) ).
fof(f727,plain,
( sQ99_spl
| sQ98_spl
| sQ97_spl
| sQ96_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f28,f712,f715,f718,f721,f724]) ).
fof(f728,definition,
( sQ100_spl
<=> op(e4,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f729,plain,
( ~ sQ100_spl
| op(e4,e0) = e0 ),
inference(component_clause,[status(thm)],[f728]) ).
fof(f731,definition,
( sQ101_spl
<=> op(e4,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f732,plain,
( ~ sQ101_spl
| op(e4,e0) = e1 ),
inference(component_clause,[status(thm)],[f731]) ).
fof(f734,definition,
( sQ102_spl
<=> op(e4,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f737,definition,
( sQ103_spl
<=> op(e4,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f740,definition,
( sQ104_spl
<=> op(e4,e0) = e4 ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f741,plain,
( ~ sQ104_spl
| op(e4,e0) = e4 ),
inference(component_clause,[status(thm)],[f740]) ).
fof(f743,plain,
( sQ104_spl
| sQ103_spl
| sQ102_spl
| sQ101_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f29,f728,f731,f734,f737,f740]) ).
fof(f744,definition,
( sQ105_spl
<=> op(e4,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f745,plain,
( ~ sQ105_spl
| op(e4,e1) = e0 ),
inference(component_clause,[status(thm)],[f744]) ).
fof(f747,definition,
( sQ106_spl
<=> op(e4,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f748,plain,
( ~ sQ106_spl
| op(e4,e1) = e1 ),
inference(component_clause,[status(thm)],[f747]) ).
fof(f750,definition,
( sQ107_spl
<=> op(e4,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f751,plain,
( ~ sQ107_spl
| op(e4,e1) = e2 ),
inference(component_clause,[status(thm)],[f750]) ).
fof(f753,definition,
( sQ108_spl
<=> op(e4,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f754,plain,
( ~ sQ108_spl
| op(e4,e1) = e3 ),
inference(component_clause,[status(thm)],[f753]) ).
fof(f756,definition,
( sQ109_spl
<=> op(e4,e1) = e4 ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f757,plain,
( ~ sQ109_spl
| op(e4,e1) = e4 ),
inference(component_clause,[status(thm)],[f756]) ).
fof(f759,plain,
( sQ109_spl
| sQ108_spl
| sQ107_spl
| sQ106_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f30,f744,f747,f750,f753,f756]) ).
fof(f760,definition,
( sQ110_spl
<=> op(e4,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f761,plain,
( ~ sQ110_spl
| op(e4,e2) = e0 ),
inference(component_clause,[status(thm)],[f760]) ).
fof(f763,definition,
( sQ111_spl
<=> op(e4,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f764,plain,
( ~ sQ111_spl
| op(e4,e2) = e1 ),
inference(component_clause,[status(thm)],[f763]) ).
fof(f766,definition,
( sQ112_spl
<=> op(e4,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f769,definition,
( sQ113_spl
<=> op(e4,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f770,plain,
( ~ sQ113_spl
| op(e4,e2) = e3 ),
inference(component_clause,[status(thm)],[f769]) ).
fof(f772,definition,
( sQ114_spl
<=> op(e4,e2) = e4 ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f773,plain,
( ~ sQ114_spl
| op(e4,e2) = e4 ),
inference(component_clause,[status(thm)],[f772]) ).
fof(f775,plain,
( sQ114_spl
| sQ113_spl
| sQ112_spl
| sQ111_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f31,f760,f763,f766,f769,f772]) ).
fof(f776,definition,
( sQ115_spl
<=> op(e4,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f777,plain,
( ~ sQ115_spl
| op(e4,e3) = e0 ),
inference(component_clause,[status(thm)],[f776]) ).
fof(f779,definition,
( sQ116_spl
<=> op(e4,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f780,plain,
( ~ sQ116_spl
| op(e4,e3) = e1 ),
inference(component_clause,[status(thm)],[f779]) ).
fof(f782,definition,
( sQ117_spl
<=> op(e4,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f783,plain,
( ~ sQ117_spl
| op(e4,e3) = e2 ),
inference(component_clause,[status(thm)],[f782]) ).
fof(f785,definition,
( sQ118_spl
<=> op(e4,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f788,definition,
( sQ119_spl
<=> op(e4,e3) = e4 ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f791,plain,
( sQ119_spl
| sQ118_spl
| sQ117_spl
| sQ116_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f32,f776,f779,f782,f785,f788]) ).
fof(f792,definition,
( sQ120_spl
<=> op(e4,e4) = e0 ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f793,plain,
( ~ sQ120_spl
| op(e4,e4) = e0 ),
inference(component_clause,[status(thm)],[f792]) ).
fof(f795,definition,
( sQ121_spl
<=> op(e4,e4) = e1 ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f796,plain,
( ~ sQ121_spl
| op(e4,e4) = e1 ),
inference(component_clause,[status(thm)],[f795]) ).
fof(f798,definition,
( sQ122_spl
<=> op(e4,e4) = e2 ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f801,definition,
( sQ123_spl
<=> op(e4,e4) = e3 ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f802,plain,
( ~ sQ123_spl
| op(e4,e4) = e3 ),
inference(component_clause,[status(thm)],[f801]) ).
fof(f804,definition,
( sQ124_spl
<=> op(e4,e4) = e4 ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f805,plain,
( ~ sQ124_spl
| op(e4,e4) = e4 ),
inference(component_clause,[status(thm)],[f804]) ).
fof(f807,plain,
( sQ124_spl
| sQ123_spl
| sQ122_spl
| sQ121_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f33,f792,f795,f798,f801,f804]) ).
fof(f808,definition,
( sQ125_spl
<=> unit = e0 ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f809,plain,
( ~ sQ125_spl
| unit = e0 ),
inference(component_clause,[status(thm)],[f808]) ).
fof(f811,definition,
( sQ126_spl
<=> unit = e1 ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f812,plain,
( ~ sQ126_spl
| unit = e1 ),
inference(component_clause,[status(thm)],[f811]) ).
fof(f814,definition,
( sQ127_spl
<=> unit = e2 ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f815,plain,
( ~ sQ127_spl
| unit = e2 ),
inference(component_clause,[status(thm)],[f814]) ).
fof(f817,definition,
( sQ128_spl
<=> unit = e3 ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f818,plain,
( ~ sQ128_spl
| unit = e3 ),
inference(component_clause,[status(thm)],[f817]) ).
fof(f820,definition,
( sQ129_spl
<=> unit = e4 ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f823,plain,
( sQ129_spl
| sQ128_spl
| sQ127_spl
| sQ126_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f44,f808,f811,f814,f817,f820]) ).
fof(f824,plain,
( sQ20_spl
| sQ15_spl
| sQ10_spl
| sQ5_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f45,f408,f424,f440,f456,f472]) ).
fof(f828,plain,
( sQ22_spl
| sQ17_spl
| sQ12_spl
| sQ7_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f49,f414,f430,f446,f462,f478]) ).
fof(f829,plain,
( sQ102_spl
| sQ77_spl
| sQ52_spl
| sQ27_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f50,f414,f494,f574,f654,f734]) ).
fof(f830,plain,
( sQ23_spl
| sQ18_spl
| sQ13_spl
| sQ8_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f51,f417,f433,f449,f465,f481]) ).
fof(f832,plain,
( sQ24_spl
| sQ19_spl
| sQ14_spl
| sQ9_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f53,f420,f436,f452,f468,f484]) ).
fof(f833,plain,
( sQ104_spl
| sQ79_spl
| sQ54_spl
| sQ29_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f54,f420,f500,f580,f660,f740]) ).
fof(f835,plain,
( sQ105_spl
| sQ80_spl
| sQ55_spl
| sQ30_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f56,f424,f504,f584,f664,f744]) ).
fof(f836,plain,
( sQ46_spl
| sQ41_spl
| sQ36_spl
| sQ31_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f57,f491,f507,f523,f539,f555]) ).
fof(f837,plain,
( sQ106_spl
| sQ81_spl
| sQ56_spl
| sQ31_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f58,f427,f507,f587,f667,f747]) ).
fof(f838,plain,
( sQ47_spl
| sQ42_spl
| sQ37_spl
| sQ32_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f59,f494,f510,f526,f542,f558]) ).
fof(f839,plain,
( sQ107_spl
| sQ82_spl
| sQ57_spl
| sQ32_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f60,f430,f510,f590,f670,f750]) ).
fof(f840,plain,
( sQ48_spl
| sQ43_spl
| sQ38_spl
| sQ33_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f61,f497,f513,f529,f545,f561]) ).
fof(f841,plain,
( sQ108_spl
| sQ83_spl
| sQ58_spl
| sQ33_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f62,f433,f513,f593,f673,f753]) ).
fof(f844,plain,
( sQ70_spl
| sQ65_spl
| sQ60_spl
| sQ55_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f65,f568,f584,f600,f616,f632]) ).
fof(f846,plain,
( sQ71_spl
| sQ66_spl
| sQ61_spl
| sQ56_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f67,f571,f587,f603,f619,f635]) ).
fof(f847,plain,
( sQ111_spl
| sQ86_spl
| sQ61_spl
| sQ36_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f68,f443,f523,f603,f683,f763]) ).
fof(f848,plain,
( sQ72_spl
| sQ67_spl
| sQ62_spl
| sQ57_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f69,f574,f590,f606,f622,f638]) ).
fof(f849,plain,
( sQ112_spl
| sQ87_spl
| sQ62_spl
| sQ37_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f70,f446,f526,f606,f686,f766]) ).
fof(f852,plain,
( sQ74_spl
| sQ69_spl
| sQ64_spl
| sQ59_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f73,f580,f596,f612,f628,f644]) ).
fof(f853,plain,
( sQ114_spl
| sQ89_spl
| sQ64_spl
| sQ39_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f74,f452,f532,f612,f692,f772]) ).
fof(f856,plain,
( sQ96_spl
| sQ91_spl
| sQ86_spl
| sQ81_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f77,f651,f667,f683,f699,f715]) ).
fof(f859,plain,
( sQ117_spl
| sQ92_spl
| sQ67_spl
| sQ42_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f80,f462,f542,f622,f702,f782]) ).
fof(f860,plain,
( sQ98_spl
| sQ93_spl
| sQ88_spl
| sQ83_spl
| sQ78_spl ),
inference(split_clause,[status(thm)],[f81,f657,f673,f689,f705,f721]) ).
fof(f861,plain,
( sQ118_spl
| sQ93_spl
| sQ68_spl
| sQ43_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f82,f465,f545,f625,f705,f785]) ).
fof(f862,plain,
( sQ99_spl
| sQ94_spl
| sQ89_spl
| sQ84_spl
| sQ79_spl ),
inference(split_clause,[status(thm)],[f83,f660,f676,f692,f708,f724]) ).
fof(f864,plain,
( sQ120_spl
| sQ115_spl
| sQ110_spl
| sQ105_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f85,f728,f744,f760,f776,f792]) ).
fof(f865,plain,
( sQ120_spl
| sQ95_spl
| sQ70_spl
| sQ45_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f86,f472,f552,f632,f712,f792]) ).
fof(f866,plain,
( sQ121_spl
| sQ116_spl
| sQ111_spl
| sQ106_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f87,f731,f747,f763,f779,f795]) ).
fof(f867,plain,
( sQ121_spl
| sQ96_spl
| sQ71_spl
| sQ46_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f88,f475,f555,f635,f715,f795]) ).
fof(f870,plain,
( sQ123_spl
| sQ118_spl
| sQ113_spl
| sQ108_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f91,f737,f753,f769,f785,f801]) ).
fof(f871,plain,
( sQ123_spl
| sQ98_spl
| sQ73_spl
| sQ48_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f92,f481,f561,f641,f721,f801]) ).
fof(f872,plain,
( sQ124_spl
| sQ119_spl
| sQ114_spl
| sQ109_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f93,f740,f756,f772,f788,f804]) ).
fof(f873,plain,
( sQ124_spl
| sQ99_spl
| sQ74_spl
| sQ49_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f94,f484,f564,f644,f724,f804]) ).
fof(f874,plain,
( sQ120_spl
| sQ90_spl
| sQ60_spl
| sQ30_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f211,f408,f504,f600,f696,f792]) ).
fof(f875,plain,
( sQ121_spl
| sQ91_spl
| sQ61_spl
| sQ31_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f212,f411,f507,f603,f699,f795]) ).
fof(f879,definition,
( sQ130_spl
<=> sP0_prd ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f882,plain,
( sQ124_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f216,f879,f804]) ).
fof(f885,definition,
( sQ131_spl
<=> sP1_prd ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f888,plain,
( sQ123_spl
| sQ131_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f222,f879,f885,f801]) ).
fof(f893,definition,
( sQ132_spl
<=> sP2_prd ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f897,plain,
( sQ64_spl
| sQ132_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f231,f885,f893,f612]) ).
fof(f901,definition,
( sQ133_spl
<=> sP3_prd ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f904,plain,
( sQ121_spl
| sQ133_spl
| ~ sQ132_spl ),
inference(split_clause,[status(thm)],[f238,f893,f901,f795]) ).
fof(f909,definition,
( sQ134_spl
<=> sP4_prd ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f912,plain,
( sQ120_spl
| sQ134_spl
| ~ sQ133_spl ),
inference(split_clause,[status(thm)],[f246,f901,f909,f792]) ).
fof(f917,definition,
( sQ135_spl
<=> sP5_prd ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f921,plain,
( sQ123_spl
| sQ135_spl
| ~ sQ134_spl ),
inference(split_clause,[status(thm)],[f255,f909,f917,f801]) ).
fof(f925,definition,
( sQ136_spl
<=> sP6_prd ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f928,plain,
( sQ93_spl
| sQ136_spl
| ~ sQ135_spl ),
inference(split_clause,[status(thm)],[f262,f917,f925,f705]) ).
fof(f930,plain,
( ~ sQ93_spl
| sQ136_spl
| ~ sQ135_spl ),
inference(split_clause,[status(thm)],[f264,f917,f925,f705]) ).
fof(f933,definition,
( sQ137_spl
<=> sP7_prd ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f936,plain,
( sQ92_spl
| sQ137_spl
| ~ sQ136_spl ),
inference(split_clause,[status(thm)],[f270,f925,f933,f702]) ).
fof(f941,definition,
( sQ138_spl
<=> sP8_prd ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f945,plain,
( sQ33_spl
| sQ138_spl
| ~ sQ137_spl ),
inference(split_clause,[status(thm)],[f279,f933,f941,f513]) ).
fof(f947,plain,
( ~ sQ138_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f281,f933,f941]) ).
fof(f949,definition,
( sQ139_spl
<=> sP9_prd ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f952,plain,
( sQ90_spl
| sQ139_spl
| ~ sQ138_spl ),
inference(split_clause,[status(thm)],[f286,f941,f949,f696]) ).
fof(f953,plain,
( sQ3_spl
| sQ139_spl
| ~ sQ138_spl ),
inference(split_clause,[status(thm)],[f287,f941,f949,f417]) ).
fof(f954,plain,
( ~ sQ78_spl
| sQ139_spl
| ~ sQ138_spl ),
inference(split_clause,[status(thm)],[f288,f941,f949,f657]) ).
fof(f955,plain,
( ~ sQ139_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f289,f941,f949]) ).
fof(f957,definition,
( sQ140_spl
<=> sP10_prd ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f960,plain,
( sQ64_spl
| sQ140_spl
| ~ sQ139_spl ),
inference(split_clause,[status(thm)],[f294,f949,f957,f612]) ).
fof(f963,plain,
( ~ sQ140_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f297,f949,f957]) ).
fof(f965,definition,
( sQ141_spl
<=> sP11_prd ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f969,plain,
( sQ92_spl
| sQ141_spl
| ~ sQ140_spl ),
inference(split_clause,[status(thm)],[f303,f957,f965,f702]) ).
fof(f971,plain,
( ~ sQ141_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f305,f957,f965]) ).
fof(f972,plain,
( sQ67_spl
| ~ sQ92_spl
| ~ sQ63_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f306,f957,f609,f702,f622]) ).
fof(f973,definition,
( sQ142_spl
<=> sP12_prd ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f976,plain,
( sQ62_spl
| sQ142_spl
| ~ sQ141_spl ),
inference(split_clause,[status(thm)],[f310,f965,f973,f606]) ).
fof(f979,plain,
( ~ sQ142_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f313,f965,f973]) ).
fof(f981,definition,
( sQ143_spl
<=> sP13_prd ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f984,plain,
( sQ61_spl
| sQ143_spl
| ~ sQ142_spl ),
inference(split_clause,[status(thm)],[f318,f973,f981,f603]) ).
fof(f987,plain,
( ~ sQ143_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f321,f973,f981]) ).
fof(f989,definition,
( sQ144_spl
<=> sP14_prd ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f992,plain,
( sQ60_spl
| sQ144_spl
| ~ sQ143_spl ),
inference(split_clause,[status(thm)],[f326,f981,f989,f600]) ).
fof(f995,plain,
( ~ sQ144_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f329,f981,f989]) ).
fof(f997,definition,
( sQ145_spl
<=> sP15_prd ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f1001,plain,
( sQ121_spl
| sQ145_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f335,f989,f997,f795]) ).
fof(f1003,plain,
( ~ sQ145_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f337,f989,f997]) ).
fof(f1005,definition,
( sQ146_spl
<=> sP16_prd ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f1008,plain,
( sQ33_spl
| sQ146_spl
| ~ sQ145_spl ),
inference(split_clause,[status(thm)],[f342,f997,f1005,f513]) ).
fof(f1011,plain,
( ~ sQ146_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f345,f997,f1005]) ).
fof(f1013,definition,
( sQ147_spl
<=> sP17_prd ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f1016,plain,
( sQ32_spl
| sQ147_spl
| ~ sQ146_spl ),
inference(split_clause,[status(thm)],[f350,f1005,f1013,f510]) ).
fof(f1019,plain,
( ~ sQ147_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f353,f1005,f1013]) ).
fof(f1021,definition,
( sQ148_spl
<=> sP18_prd ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f1024,plain,
( sQ31_spl
| sQ148_spl
| ~ sQ147_spl ),
inference(split_clause,[status(thm)],[f358,f1013,f1021,f507]) ).
fof(f1027,plain,
( ~ sQ148_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f361,f1013,f1021]) ).
fof(f1029,definition,
( sQ149_spl
<=> sP19_prd ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f1032,plain,
( sQ30_spl
| sQ149_spl
| ~ sQ148_spl ),
inference(split_clause,[status(thm)],[f366,f1021,f1029,f504]) ).
fof(f1035,plain,
( ~ sQ149_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f369,f1021,f1029]) ).
fof(f1037,definition,
( sQ150_spl
<=> sP20_prd ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f1040,plain,
( sQ4_spl
| sQ150_spl
| ~ sQ149_spl ),
inference(split_clause,[status(thm)],[f374,f1029,f1037,f420]) ).
fof(f1041,plain,
( sQ120_spl
| sQ150_spl
| ~ sQ149_spl ),
inference(split_clause,[status(thm)],[f375,f1029,f1037,f792]) ).
fof(f1043,plain,
( ~ sQ150_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f377,f1029,f1037]) ).
fof(f1045,definition,
( sQ151_spl
<=> sP21_prd ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f1048,plain,
( sQ3_spl
| sQ151_spl
| ~ sQ150_spl ),
inference(split_clause,[status(thm)],[f382,f1037,f1045,f417]) ).
fof(f1049,plain,
( sQ90_spl
| sQ151_spl
| ~ sQ150_spl ),
inference(split_clause,[status(thm)],[f383,f1037,f1045,f696]) ).
fof(f1050,plain,
( ~ sQ15_spl
| sQ151_spl
| ~ sQ150_spl ),
inference(split_clause,[status(thm)],[f384,f1037,f1045,f456]) ).
fof(f1051,plain,
( ~ sQ151_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f385,f1037,f1045]) ).
fof(f1052,plain,
( sQ15_spl
| ~ sQ90_spl
| ~ sQ3_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f386,f1037,f417,f696,f456]) ).
fof(f1053,definition,
( sQ152_spl
<=> sP22_prd ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f1056,plain,
( sQ2_spl
| sQ152_spl
| ~ sQ151_spl ),
inference(split_clause,[status(thm)],[f390,f1045,f1053,f414]) ).
fof(f1057,plain,
( sQ60_spl
| sQ152_spl
| ~ sQ151_spl ),
inference(split_clause,[status(thm)],[f391,f1045,f1053,f600]) ).
fof(f1059,plain,
( ~ sQ152_spl
| sQ151_spl ),
inference(split_clause,[status(thm)],[f393,f1045,f1053]) ).
fof(f1061,definition,
( sQ153_spl
<=> sP23_prd ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f1064,plain,
( sQ1_spl
| sQ153_spl
| ~ sQ152_spl ),
inference(split_clause,[status(thm)],[f398,f1053,f1061,f411]) ).
fof(f1065,plain,
( sQ30_spl
| sQ153_spl
| ~ sQ152_spl ),
inference(split_clause,[status(thm)],[f399,f1053,f1061,f504]) ).
fof(f1067,plain,
( ~ sQ153_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f401,f1053,f1061]) ).
fof(f1069,plain,
( sQ0_spl
| ~ sQ153_spl ),
inference(split_clause,[status(thm)],[f404,f1061,f408]) ).
fof(f1071,plain,
( ~ sQ0_spl
| ~ sQ153_spl ),
inference(split_clause,[status(thm)],[f406,f1061,f408]) ).
fof(f1073,plain,
e0 = op(e1,e2),
inference(backward_demodulation,[status(thm)],[f206,f205]) ).
fof(f1074,plain,
e3 = op(e2,op(op(e1,e1),op(e1,e1))),
inference(forward_demodulation,[status(thm)],[f206,f207]) ).
fof(f1075,plain,
e3 != op(e2,e4),
inference(backward_demodulation,[status(thm)],[f1083,f173]) ).
fof(f1079,plain,
e3 != op(e4,e2),
inference(backward_demodulation,[status(thm)],[f1083,f123]) ).
fof(f1080,plain,
e3 != op(e3,e2),
inference(backward_demodulation,[status(thm)],[f1083,f122]) ).
fof(f1083,plain,
e3 = op(e2,e2),
inference(forward_demodulation,[status(thm)],[f206,f1074]) ).
fof(f1084,plain,
e2 = op(op(e1,e1),e4),
inference(backward_demodulation,[status(thm)],[f208,f206]) ).
fof(f1088,plain,
op(e1,e0) != e4,
inference(backward_demodulation,[status(thm)],[f208,f155]) ).
fof(f1089,plain,
e4 != op(e4,e1),
inference(backward_demodulation,[status(thm)],[f208,f111]) ).
fof(f1091,plain,
e4 != op(e2,e1),
inference(backward_demodulation,[status(thm)],[f208,f109]) ).
fof(f1092,plain,
op(e0,e1) != e4,
inference(backward_demodulation,[status(thm)],[f208,f105]) ).
fof(f1095,plain,
( ~ sQ99_spl
| op(e3,e1) != e4 ),
inference(backward_demodulation,[status(thm)],[f725,f181]) ).
fof(f1120,plain,
( ~ sQ48_spl
| ~ sQ49_spl
| e4 = e3 ),
inference(forward_demodulation,[status(thm)],[f565,f562]) ).
fof(f1121,plain,
( ~ sQ48_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1120,f204]) ).
fof(f1122,plain,
( ~ sQ48_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f1121]) ).
fof(f1123,plain,
( ~ sQ23_spl
| ~ sQ24_spl
| e4 = e3 ),
inference(forward_demodulation,[status(thm)],[f485,f482]) ).
fof(f1124,plain,
( ~ sQ23_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1123,f204]) ).
fof(f1125,plain,
( ~ sQ23_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f1124]) ).
fof(f1150,plain,
( ~ sQ97_spl
| ~ sQ99_spl
| e4 = e2 ),
inference(forward_demodulation,[status(thm)],[f725,f719]) ).
fof(f1151,plain,
( ~ sQ97_spl
| ~ sQ99_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1150,f203]) ).
fof(f1152,plain,
( ~ sQ97_spl
| ~ sQ99_spl ),
inference(contradiction_clause,[status(thm)],[f1151]) ).
fof(f1159,plain,
( ~ sQ107_spl
| ~ sQ108_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f754,f751]) ).
fof(f1160,plain,
( ~ sQ107_spl
| ~ sQ108_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1159,f202]) ).
fof(f1161,plain,
( ~ sQ107_spl
| ~ sQ108_spl ),
inference(contradiction_clause,[status(thm)],[f1160]) ).
fof(f1165,plain,
( ~ sQ21_spl
| ~ sQ22_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f479,f476]) ).
fof(f1166,plain,
( ~ sQ21_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1165,f199]) ).
fof(f1167,plain,
( ~ sQ21_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f1166]) ).
fof(f1168,plain,
( ~ sQ95_spl
| ~ sQ96_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f716,f713]) ).
fof(f1169,plain,
( ~ sQ95_spl
| ~ sQ96_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1168,f195]) ).
fof(f1170,plain,
( ~ sQ95_spl
| ~ sQ96_spl ),
inference(contradiction_clause,[status(thm)],[f1169]) ).
fof(f1171,plain,
( ~ sQ70_spl
| ~ sQ71_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f636,f633]) ).
fof(f1172,plain,
( ~ sQ70_spl
| ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1171,f195]) ).
fof(f1173,plain,
( ~ sQ70_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f1172]) ).
fof(f1177,plain,
( ~ sQ115_spl
| ~ sQ116_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f780,f777]) ).
fof(f1178,plain,
( ~ sQ115_spl
| ~ sQ116_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1177,f195]) ).
fof(f1179,plain,
( ~ sQ115_spl
| ~ sQ116_spl ),
inference(contradiction_clause,[status(thm)],[f1178]) ).
fof(f1183,plain,
( ~ sQ105_spl
| ~ sQ106_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f748,f745]) ).
fof(f1184,plain,
( ~ sQ105_spl
| ~ sQ106_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1183,f195]) ).
fof(f1185,plain,
( ~ sQ105_spl
| ~ sQ106_spl ),
inference(contradiction_clause,[status(thm)],[f1184]) ).
fof(f1191,plain,
( ~ sQ69_spl
| e4 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f629,f132]) ).
fof(f1193,plain,
( ~ sQ69_spl
| op(e0,e3) != e4 ),
inference(backward_demodulation,[status(thm)],[f629,f126]) ).
fof(f1215,plain,
( ~ sQ68_spl
| ~ sQ69_spl
| e4 = e3 ),
inference(forward_demodulation,[status(thm)],[f629,f626]) ).
fof(f1216,plain,
( ~ sQ68_spl
| ~ sQ69_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1215,f204]) ).
fof(f1217,plain,
( ~ sQ68_spl
| ~ sQ69_spl ),
inference(contradiction_clause,[status(thm)],[f1216]) ).
fof(f1218,plain,
( ~ sQ43_spl
| ~ sQ44_spl
| e4 = e3 ),
inference(forward_demodulation,[status(thm)],[f549,f546]) ).
fof(f1219,plain,
( ~ sQ43_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1218,f204]) ).
fof(f1220,plain,
( ~ sQ43_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f1219]) ).
fof(f1221,plain,
( ~ sQ18_spl
| ~ sQ19_spl
| e4 = e3 ),
inference(forward_demodulation,[status(thm)],[f469,f466]) ).
fof(f1222,plain,
( ~ sQ18_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1221,f204]) ).
fof(f1223,plain,
( ~ sQ18_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f1222]) ).
fof(f1224,plain,
( ~ sQ87_spl
| ~ sQ89_spl
| e4 = e2 ),
inference(forward_demodulation,[status(thm)],[f693,f687]) ).
fof(f1225,plain,
( ~ sQ87_spl
| ~ sQ89_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1224,f203]) ).
fof(f1226,plain,
( ~ sQ87_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f1225]) ).
fof(f1227,plain,
( ~ sQ82_spl
| ~ sQ84_spl
| e4 = e2 ),
inference(forward_demodulation,[status(thm)],[f677,f671]) ).
fof(f1228,plain,
( ~ sQ82_spl
| ~ sQ84_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1227,f203]) ).
fof(f1229,plain,
( ~ sQ82_spl
| ~ sQ84_spl ),
inference(contradiction_clause,[status(thm)],[f1228]) ).
fof(f1230,plain,
( ~ sQ77_spl
| ~ sQ79_spl
| e4 = e2 ),
inference(forward_demodulation,[status(thm)],[f661,f655]) ).
fof(f1231,plain,
( ~ sQ77_spl
| ~ sQ79_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1230,f203]) ).
fof(f1232,plain,
( ~ sQ77_spl
| ~ sQ79_spl ),
inference(contradiction_clause,[status(thm)],[f1231]) ).
fof(f1233,plain,
( ~ sQ16_spl
| ~ sQ17_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f463,f460]) ).
fof(f1234,plain,
( ~ sQ16_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1233,f199]) ).
fof(f1235,plain,
( ~ sQ16_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f1234]) ).
fof(f1236,plain,
( ~ sQ65_spl
| ~ sQ66_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f620,f617]) ).
fof(f1237,plain,
( ~ sQ65_spl
| ~ sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1236,f195]) ).
fof(f1238,plain,
( ~ sQ65_spl
| ~ sQ66_spl ),
inference(contradiction_clause,[status(thm)],[f1237]) ).
fof(f1239,plain,
( ~ sQ40_spl
| ~ sQ42_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f543,f537]) ).
fof(f1240,plain,
( ~ sQ40_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1239,f196]) ).
fof(f1241,plain,
( ~ sQ40_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f1240]) ).
fof(f1242,plain,
( ~ sQ85_spl
| ~ sQ86_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f684,f681]) ).
fof(f1243,plain,
( ~ sQ85_spl
| ~ sQ86_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1242,f195]) ).
fof(f1244,plain,
( ~ sQ85_spl
| ~ sQ86_spl ),
inference(contradiction_clause,[status(thm)],[f1243]) ).
fof(f1245,plain,
( ~ sQ80_spl
| ~ sQ81_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f668,f665]) ).
fof(f1246,plain,
( ~ sQ80_spl
| ~ sQ81_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1245,f195]) ).
fof(f1247,plain,
( ~ sQ80_spl
| ~ sQ81_spl ),
inference(contradiction_clause,[status(thm)],[f1246]) ).
fof(f1258,plain,
( ~ sQ54_spl
| op(e0,e0) != e4 ),
inference(backward_demodulation,[status(thm)],[f581,f96]) ).
fof(f1262,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| e4 = e3 ),
inference(forward_demodulation,[status(thm)],[f453,f450]) ).
fof(f1263,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1262,f204]) ).
fof(f1264,plain,
( ~ sQ13_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f1263]) ).
fof(f1268,plain,
( ~ sQ53_spl
| ~ sQ54_spl
| e4 = e3 ),
inference(forward_demodulation,[status(thm)],[f581,f578]) ).
fof(f1269,plain,
( ~ sQ53_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1268,f204]) ).
fof(f1270,plain,
( ~ sQ53_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f1269]) ).
fof(f1271,plain,
( ~ sQ11_spl
| ~ sQ12_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f447,f444]) ).
fof(f1272,plain,
( ~ sQ11_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1271,f199]) ).
fof(f1273,plain,
( ~ sQ11_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f1272]) ).
fof(f1277,plain,
( ~ sQ55_spl
| ~ sQ56_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f588,f585]) ).
fof(f1278,plain,
( ~ sQ55_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1277,f195]) ).
fof(f1279,plain,
( ~ sQ55_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f1278]) ).
fof(f1280,plain,
( ~ sQ50_spl
| ~ sQ51_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f572,f569]) ).
fof(f1281,plain,
( ~ sQ50_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1280,f195]) ).
fof(f1282,plain,
( ~ sQ50_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f1281]) ).
fof(f1291,plain,
( ~ sQ6_spl
| ~ sQ7_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f431,f428]) ).
fof(f1292,plain,
( ~ sQ6_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1291,f199]) ).
fof(f1293,plain,
( ~ sQ6_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f1292]) ).
fof(f1294,plain,
( ~ sQ25_spl
| ~ sQ27_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f495,f489]) ).
fof(f1295,plain,
( ~ sQ25_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1294,f196]) ).
fof(f1296,plain,
( ~ sQ25_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f1295]) ).
fof(f1313,plain,
( ~ sQ31_spl
| e4 = e1 ),
inference(forward_demodulation,[status(thm)],[f208,f508]) ).
fof(f1314,plain,
( ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1313,f201]) ).
fof(f1315,plain,
~ sQ31_spl,
inference(contradiction_clause,[status(thm)],[f1314]) ).
fof(f1316,plain,
( ~ sQ62_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f1083,f607]) ).
fof(f1317,plain,
( ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1316,f202]) ).
fof(f1318,plain,
~ sQ62_spl,
inference(contradiction_clause,[status(thm)],[f1317]) ).
fof(f1319,plain,
( ~ sQ92_spl
| ~ sQ91_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f700,f703]) ).
fof(f1320,plain,
( ~ sQ92_spl
| ~ sQ91_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1319,f199]) ).
fof(f1321,plain,
( ~ sQ92_spl
| ~ sQ91_spl ),
inference(contradiction_clause,[status(thm)],[f1320]) ).
fof(f1329,plain,
e2 = op(e4,e4),
inference(forward_demodulation,[status(thm)],[f208,f1084]) ).
fof(f1330,plain,
( ~ sQ124_spl
| e2 = e4 ),
inference(forward_demodulation,[status(thm)],[f805,f1329]) ).
fof(f1331,plain,
( ~ sQ124_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1330,f203]) ).
fof(f1332,plain,
~ sQ124_spl,
inference(contradiction_clause,[status(thm)],[f1331]) ).
fof(f1334,plain,
e0 != op(e1,e4),
inference(forward_demodulation,[status(thm)],[f1073,f163]) ).
fof(f1335,plain,
( ~ sQ0_spl
| e0 != op(e0,e4) ),
inference(forward_demodulation,[status(thm)],[f409,f148]) ).
fof(f1336,plain,
e0 != op(e4,e2),
inference(forward_demodulation,[status(thm)],[f1073,f121]) ).
fof(f1337,plain,
( ~ sQ0_spl
| e0 != op(e4,e0) ),
inference(forward_demodulation,[status(thm)],[f409,f98]) ).
fof(f1343,plain,
( ~ sQ20_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f473,f1335]) ).
fof(f1344,plain,
( ~ sQ20_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f1343]) ).
fof(f1351,plain,
( ~ sQ15_spl
| e0 != op(e4,e3) ),
inference(backward_demodulation,[status(thm)],[f457,f128]) ).
fof(f1353,plain,
( ~ sQ41_spl
| e1 != op(e4,e3) ),
inference(backward_demodulation,[status(thm)],[f540,f131]) ).
fof(f1375,plain,
( ~ sQ88_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f690,f1080]) ).
fof(f1376,plain,
~ sQ88_spl,
inference(contradiction_clause,[status(thm)],[f1375]) ).
fof(f1382,plain,
( ~ sQ109_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f757,f1089]) ).
fof(f1383,plain,
~ sQ109_spl,
inference(contradiction_clause,[status(thm)],[f1382]) ).
fof(f1385,plain,
( ~ sQ57_spl
| e2 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f591,f170]) ).
fof(f1386,plain,
( ~ sQ57_spl
| ~ sQ67_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f623,f1385]) ).
fof(f1387,plain,
( ~ sQ57_spl
| ~ sQ67_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1386]) ).
fof(f1388,plain,
( ~ sQ57_spl
| ~ sQ67_spl ),
inference(contradiction_clause,[status(thm)],[f1387]) ).
fof(f1392,plain,
( ~ sQ15_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f457,f126]) ).
fof(f1395,plain,
( ~ sQ26_spl
| e1 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f492,f157]) ).
fof(f1396,plain,
( ~ sQ26_spl
| ~ sQ41_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f540,f1395]) ).
fof(f1397,plain,
( ~ sQ26_spl
| ~ sQ41_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1396]) ).
fof(f1398,plain,
( ~ sQ26_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f1397]) ).
fof(f1400,plain,
( ~ sQ15_spl
| e0 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f457,f125]) ).
fof(f1401,plain,
( ~ sQ64_spl
| e3 = e4 ),
inference(forward_demodulation,[status(thm)],[f1083,f613]) ).
fof(f1402,plain,
( ~ sQ64_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1401,f204]) ).
fof(f1403,plain,
~ sQ64_spl,
inference(contradiction_clause,[status(thm)],[f1402]) ).
fof(f1426,plain,
( ~ sQ78_spl
| op(e0,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f658,f97]) ).
fof(f1432,plain,
( ~ sQ114_spl
| e4 != op(e4,e3) ),
inference(backward_demodulation,[status(thm)],[f773,f192]) ).
fof(f1437,plain,
( ~ sQ10_spl
| e0 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f441,f115]) ).
fof(f1438,plain,
( ~ sQ10_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f1073,f1437]) ).
fof(f1439,plain,
( ~ sQ10_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1438]) ).
fof(f1440,plain,
~ sQ10_spl,
inference(contradiction_clause,[status(thm)],[f1439]) ).
fof(f1445,plain,
( ~ sQ4_spl
| e4 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f421,f146]) ).
fof(f1446,plain,
( ~ sQ52_spl
| e2 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f575,f165]) ).
fof(f1447,plain,
( ~ sQ52_spl
| ~ sQ57_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f591,f1446]) ).
fof(f1448,plain,
( ~ sQ52_spl
| ~ sQ57_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1447]) ).
fof(f1449,plain,
( ~ sQ52_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f1448]) ).
fof(f1450,plain,
( ~ sQ5_spl
| e0 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f425,f106]) ).
fof(f1467,plain,
( ~ sQ33_spl
| e4 = e3 ),
inference(forward_demodulation,[status(thm)],[f208,f514]) ).
fof(f1468,plain,
( ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1467,f204]) ).
fof(f1469,plain,
~ sQ33_spl,
inference(contradiction_clause,[status(thm)],[f1468]) ).
fof(f1470,plain,
( ~ sQ6_spl
| ~ sQ5_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f425,f428]) ).
fof(f1471,plain,
( ~ sQ6_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1470,f195]) ).
fof(f1472,plain,
( ~ sQ6_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f1471]) ).
fof(f1477,plain,
( ~ sQ83_spl
| ~ sQ80_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f665,f674]) ).
fof(f1478,plain,
( ~ sQ83_spl
| ~ sQ80_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1477,f197]) ).
fof(f1479,plain,
( ~ sQ83_spl
| ~ sQ80_spl ),
inference(contradiction_clause,[status(thm)],[f1478]) ).
fof(f1480,plain,
( ~ sQ25_spl
| ~ sQ26_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f492,f489]) ).
fof(f1481,plain,
( ~ sQ25_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1480,f195]) ).
fof(f1482,plain,
( ~ sQ25_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f1481]) ).
fof(f1483,plain,
( ~ sQ125_spl
| op(e4,e0) = e4 ),
inference(forward_demodulation,[status(thm)],[f809,f43]) ).
fof(f1484,plain,
( ~ sQ125_spl
| op(e0,e4) = e4 ),
inference(forward_demodulation,[status(thm)],[f809,f42]) ).
fof(f1485,plain,
( ~ sQ125_spl
| sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1484,f486]) ).
fof(f1486,plain,
( ~ sQ125_spl
| sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f1485]) ).
fof(f1487,plain,
( ~ sQ125_spl
| op(e3,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f809,f41]) ).
fof(f1491,plain,
( ~ sQ125_spl
| op(e2,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f809,f39]) ).
fof(f1492,plain,
( ~ sQ125_spl
| op(e0,e2) = e2 ),
inference(forward_demodulation,[status(thm)],[f809,f38]) ).
fof(f1493,plain,
( ~ sQ125_spl
| sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1492,f448]) ).
fof(f1494,plain,
( ~ sQ125_spl
| sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f1493]) ).
fof(f1496,plain,
( ~ sQ36_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f1073,f524]) ).
fof(f1497,plain,
( ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1496,f195]) ).
fof(f1498,plain,
~ sQ36_spl,
inference(contradiction_clause,[status(thm)],[f1497]) ).
fof(f1499,plain,
( ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f553,f1334]) ).
fof(f1500,plain,
~ sQ45_spl,
inference(contradiction_clause,[status(thm)],[f1499]) ).
fof(f1518,plain,
( ~ sQ95_spl
| ~ sQ98_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f722,f713]) ).
fof(f1519,plain,
( ~ sQ95_spl
| ~ sQ98_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1518,f197]) ).
fof(f1520,plain,
( ~ sQ95_spl
| ~ sQ98_spl ),
inference(contradiction_clause,[status(thm)],[f1519]) ).
fof(f1521,plain,
( ~ sQ53_spl
| ~ sQ50_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f569,f578]) ).
fof(f1522,plain,
( ~ sQ53_spl
| ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1521,f197]) ).
fof(f1523,plain,
( ~ sQ53_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f1522]) ).
fof(f1524,plain,
( ~ sQ58_spl
| ~ sQ55_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f585,f594]) ).
fof(f1525,plain,
( ~ sQ58_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1524,f197]) ).
fof(f1526,plain,
( ~ sQ58_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f1525]) ).
fof(f1528,plain,
( ~ sQ38_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f1073,f530]) ).
fof(f1529,plain,
( ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1528,f197]) ).
fof(f1530,plain,
~ sQ38_spl,
inference(contradiction_clause,[status(thm)],[f1529]) ).
fof(f1531,plain,
( ~ sQ75_spl
| ~ sQ78_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f658,f649]) ).
fof(f1532,plain,
( ~ sQ75_spl
| ~ sQ78_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1531,f197]) ).
fof(f1533,plain,
( ~ sQ75_spl
| ~ sQ78_spl ),
inference(contradiction_clause,[status(thm)],[f1532]) ).
fof(f1535,plain,
( ~ sQ100_spl
| ~ sQ104_spl
| e4 = e0 ),
inference(forward_demodulation,[status(thm)],[f741,f729]) ).
fof(f1536,plain,
( ~ sQ100_spl
| ~ sQ104_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1535,f198]) ).
fof(f1537,plain,
( ~ sQ100_spl
| ~ sQ104_spl ),
inference(contradiction_clause,[status(thm)],[f1536]) ).
fof(f1538,plain,
( ~ sQ70_spl
| ~ sQ72_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f639,f633]) ).
fof(f1539,plain,
( ~ sQ70_spl
| ~ sQ72_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1538,f196]) ).
fof(f1540,plain,
( ~ sQ70_spl
| ~ sQ72_spl ),
inference(contradiction_clause,[status(thm)],[f1539]) ).
fof(f1544,plain,
( ~ sQ123_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f802,f1329]) ).
fof(f1545,plain,
( ~ sQ123_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1544,f202]) ).
fof(f1546,plain,
~ sQ123_spl,
inference(contradiction_clause,[status(thm)],[f1545]) ).
fof(f1549,plain,
( ~ sQ20_spl
| ~ sQ21_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f476,f473]) ).
fof(f1550,plain,
( ~ sQ20_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1549,f195]) ).
fof(f1551,plain,
( ~ sQ20_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f1550]) ).
fof(f1566,plain,
( ~ sQ60_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f1083,f601]) ).
fof(f1567,plain,
( ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1566,f197]) ).
fof(f1568,plain,
~ sQ60_spl,
inference(contradiction_clause,[status(thm)],[f1567]) ).
fof(f1570,plain,
( ~ sQ18_spl
| e3 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f466,f125]) ).
fof(f1571,plain,
( ~ sQ18_spl
| ~ sQ43_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f546,f1570]) ).
fof(f1572,plain,
( ~ sQ18_spl
| ~ sQ43_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1571]) ).
fof(f1573,plain,
( ~ sQ18_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f1572]) ).
fof(f1580,plain,
( ~ sQ115_spl
| op(e3,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f777,f134]) ).
fof(f1582,plain,
( ~ sQ114_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f1432,f788,f772]) ).
fof(f1583,plain,
( ~ sQ15_spl
| ~ sQ115_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f777,f1351]) ).
fof(f1584,plain,
( ~ sQ15_spl
| ~ sQ115_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1583]) ).
fof(f1585,plain,
( ~ sQ15_spl
| ~ sQ115_spl ),
inference(contradiction_clause,[status(thm)],[f1584]) ).
fof(f1586,plain,
( ~ sQ15_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f1392,f616,f456]) ).
fof(f1587,plain,
( ~ sQ15_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f1400,f536,f456]) ).
fof(f1592,plain,
( ~ sQ15_spl
| op(e0,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f457,f150]) ).
fof(f1601,plain,
( ~ sQ28_spl
| e3 != op(e1,e4) ),
inference(forward_demodulation,[status(thm)],[f498,f158]) ).
fof(f1607,plain,
( ~ sQ49_spl
| ~ sQ46_spl
| e1 = e4 ),
inference(forward_demodulation,[status(thm)],[f556,f565]) ).
fof(f1608,plain,
( ~ sQ49_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1607,f201]) ).
fof(f1609,plain,
( ~ sQ49_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f1608]) ).
fof(f1611,plain,
( ~ sQ23_spl
| op(e0,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f482,f151]) ).
fof(f1625,plain,
( ~ sQ126_spl
| op(e1,e1) = e1 ),
inference(backward_demodulation,[status(thm)],[f812,f36]) ).
fof(f1636,plain,
( ~ sQ105_spl
| op(e0,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f745,f108]) ).
fof(f1649,plain,
( ~ sQ1_spl
| e1 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f412,f97]) ).
fof(f1653,plain,
( ~ sQ97_spl
| op(e3,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f719,f178]) ).
fof(f1661,plain,
( ~ sQ67_spl
| e2 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f623,f132]) ).
fof(f1663,plain,
( ~ sQ67_spl
| e2 != op(e2,e4) ),
inference(backward_demodulation,[status(thm)],[f623,f174]) ).
fof(f1664,plain,
( ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f597,f1091]) ).
fof(f1665,plain,
~ sQ59_spl,
inference(contradiction_clause,[status(thm)],[f1664]) ).
fof(f1669,plain,
( ~ sQ61_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f1083,f604]) ).
fof(f1670,plain,
( ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1669,f200]) ).
fof(f1671,plain,
~ sQ61_spl,
inference(contradiction_clause,[status(thm)],[f1670]) ).
fof(f1681,plain,
( ~ sQ121_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f796,f1329]) ).
fof(f1682,plain,
( ~ sQ121_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1681,f199]) ).
fof(f1683,plain,
~ sQ121_spl,
inference(contradiction_clause,[status(thm)],[f1682]) ).
fof(f1695,plain,
( ~ sQ2_spl
| e2 != op(e4,e0) ),
inference(forward_demodulation,[status(thm)],[f415,f98]) ).
fof(f1698,plain,
( ~ sQ41_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f1353,f779,f539]) ).
fof(f1710,plain,
( ~ sQ87_spl
| e2 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f687,f182]) ).
fof(f1711,plain,
( ~ sQ87_spl
| e2 != op(e3,e4) ),
inference(backward_demodulation,[status(thm)],[f687,f183]) ).
fof(f1715,plain,
( ~ sQ39_spl
| e0 = e4 ),
inference(forward_demodulation,[status(thm)],[f1073,f533]) ).
fof(f1716,plain,
( ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1715,f198]) ).
fof(f1717,plain,
~ sQ39_spl,
inference(contradiction_clause,[status(thm)],[f1716]) ).
fof(f1733,plain,
( ~ sQ126_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f1625,f507,f811]) ).
fof(f1739,plain,
( ~ sQ32_spl
| e4 = e2 ),
inference(forward_demodulation,[status(thm)],[f208,f511]) ).
fof(f1740,plain,
( ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1739,f203]) ).
fof(f1741,plain,
~ sQ32_spl,
inference(contradiction_clause,[status(thm)],[f1740]) ).
fof(f1747,plain,
( ~ sQ54_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f1258,f420,f580]) ).
fof(f1748,plain,
( ~ sQ54_spl
| e4 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f581,f102]) ).
fof(f1752,plain,
( ~ sQ30_spl
| e4 = e0 ),
inference(forward_demodulation,[status(thm)],[f208,f505]) ).
fof(f1753,plain,
( ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1752,f198]) ).
fof(f1754,plain,
~ sQ30_spl,
inference(contradiction_clause,[status(thm)],[f1753]) ).
fof(f1757,plain,
( ~ sQ4_spl
| ~ sQ2_spl
| e2 = e4 ),
inference(forward_demodulation,[status(thm)],[f415,f421]) ).
fof(f1758,plain,
( ~ sQ4_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1757,f203]) ).
fof(f1759,plain,
( ~ sQ4_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f1758]) ).
fof(f1761,plain,
( ~ sQ4_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f1445,f452,f420]) ).
fof(f1762,plain,
( ~ sQ23_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1611,f433,f481]) ).
fof(f1771,plain,
( ~ sQ28_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f1601,f561,f497]) ).
fof(f1777,plain,
( ~ sQ110_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f761,f1336]) ).
fof(f1778,plain,
~ sQ110_spl,
inference(contradiction_clause,[status(thm)],[f1777]) ).
fof(f1780,plain,
( ~ sQ1_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f1649,f651,f411]) ).
fof(f1782,plain,
( ~ sQ105_spl
| op(e2,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f745,f113]) ).
fof(f1793,plain,
op(e4,e3) != e2,
inference(backward_demodulation,[status(thm)],[f1329,f194]) ).
fof(f1794,plain,
( ~ sQ120_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f1329,f793]) ).
fof(f1795,plain,
( ~ sQ120_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1794,f196]) ).
fof(f1796,plain,
~ sQ120_spl,
inference(contradiction_clause,[status(thm)],[f1795]) ).
fof(f1802,plain,
( ~ sQ87_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f1710,f702,f686]) ).
fof(f1803,plain,
( ~ sQ87_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f1711,f718,f686]) ).
fof(f1807,plain,
( ~ sQ85_spl
| ~ sQ87_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f687,f681]) ).
fof(f1808,plain,
( ~ sQ85_spl
| ~ sQ87_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1807,f196]) ).
fof(f1809,plain,
( ~ sQ85_spl
| ~ sQ87_spl ),
inference(contradiction_clause,[status(thm)],[f1808]) ).
fof(f1816,plain,
( ~ sQ127_spl
| op(e2,e2) = e2 ),
inference(backward_demodulation,[status(thm)],[f815,f38]) ).
fof(f1823,plain,
( ~ sQ69_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f1191,f708,f628]) ).
fof(f1824,plain,
( ~ sQ69_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f1193,f468,f628]) ).
fof(f1838,plain,
( ~ sQ97_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f1653,f654,f718]) ).
fof(f1853,plain,
( ~ sQ1_spl
| e1 != op(e4,e0) ),
inference(forward_demodulation,[status(thm)],[f412,f98]) ).
fof(f1854,plain,
( ~ sQ1_spl
| ~ sQ101_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f732,f1853]) ).
fof(f1855,plain,
( ~ sQ1_spl
| ~ sQ101_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1854]) ).
fof(f1856,plain,
( ~ sQ1_spl
| ~ sQ101_spl ),
inference(contradiction_clause,[status(thm)],[f1855]) ).
fof(f1859,plain,
( ~ sQ82_spl
| e2 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f671,f180]) ).
fof(f1861,plain,
( ~ sQ82_spl
| op(e0,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f671,f107]) ).
fof(f1863,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f412,f418]) ).
fof(f1864,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1863,f200]) ).
fof(f1865,plain,
( ~ sQ3_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f1864]) ).
fof(f1883,plain,
( ~ sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f642,f1075]) ).
fof(f1884,plain,
~ sQ73_spl,
inference(contradiction_clause,[status(thm)],[f1883]) ).
fof(f1888,plain,
( ~ sQ114_spl
| op(e4,e0) != e4 ),
inference(forward_demodulation,[status(thm)],[f773,f186]) ).
fof(f1889,plain,
( ~ sQ2_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f1695,f734,f414]) ).
fof(f1901,plain,
( ~ sQ105_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f1782,f584,f744]) ).
fof(f1906,plain,
( ~ sQ117_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f783,f1793]) ).
fof(f1907,plain,
( ~ sQ117_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1906]) ).
fof(f1908,plain,
~ sQ117_spl,
inference(contradiction_clause,[status(thm)],[f1907]) ).
fof(f1913,plain,
( ~ sQ111_spl
| ~ sQ114_spl
| e4 = e1 ),
inference(forward_demodulation,[status(thm)],[f773,f764]) ).
fof(f1914,plain,
( ~ sQ111_spl
| ~ sQ114_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1913,f201]) ).
fof(f1915,plain,
( ~ sQ111_spl
| ~ sQ114_spl ),
inference(contradiction_clause,[status(thm)],[f1914]) ).
fof(f1925,plain,
( ~ sQ127_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f1816,f606,f814]) ).
fof(f1934,plain,
( ~ sQ90_spl
| ~ sQ93_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f706,f697]) ).
fof(f1935,plain,
( ~ sQ90_spl
| ~ sQ93_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1934,f197]) ).
fof(f1936,plain,
( ~ sQ90_spl
| ~ sQ93_spl ),
inference(contradiction_clause,[status(thm)],[f1935]) ).
fof(f1943,plain,
( ~ sQ28_spl
| e3 != op(e4,e0) ),
inference(backward_demodulation,[status(thm)],[f498,f101]) ).
fof(f1970,plain,
( ~ sQ15_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1592,f424,f456]) ).
fof(f1982,plain,
( ~ sQ82_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f1859,f702,f670]) ).
fof(f1983,plain,
( ~ sQ82_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f1861,f430,f670]) ).
fof(f2020,plain,
( ~ sQ86_spl
| ~ sQ89_spl
| e4 = e1 ),
inference(forward_demodulation,[status(thm)],[f693,f684]) ).
fof(f2021,plain,
( ~ sQ86_spl
| ~ sQ89_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2020,f201]) ).
fof(f2022,plain,
( ~ sQ86_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f2021]) ).
fof(f2032,plain,
( ~ sQ70_spl
| ~ sQ74_spl
| e4 = e0 ),
inference(forward_demodulation,[status(thm)],[f645,f633]) ).
fof(f2033,plain,
( ~ sQ70_spl
| ~ sQ74_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2032,f198]) ).
fof(f2034,plain,
( ~ sQ70_spl
| ~ sQ74_spl ),
inference(contradiction_clause,[status(thm)],[f2033]) ).
fof(f2051,plain,
( ~ sQ0_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f1337,f728,f408]) ).
fof(f2053,plain,
( ~ sQ67_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f1661,f702,f622]) ).
fof(f2054,plain,
( ~ sQ67_spl
| ~ sQ72_spl ),
inference(split_clause,[status(thm)],[f1663,f638,f622]) ).
fof(f2064,plain,
( ~ sQ106_spl
| op(e3,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f748,f114]) ).
fof(f2089,plain,
( ~ sQ28_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f1943,f737,f497]) ).
fof(f2108,plain,
( ~ sQ115_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f1580,f696,f776]) ).
fof(f2113,plain,
( ~ sQ128_spl
| op(e3,e3) = e3 ),
inference(backward_demodulation,[status(thm)],[f818,f41]) ).
fof(f2135,plain,
( ~ sQ5_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f1450,f584,f424]) ).
fof(f2154,plain,
( ~ sQ106_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f2064,f667,f747]) ).
fof(f2162,plain,
( ~ sQ37_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f1073,f527]) ).
fof(f2163,plain,
( ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2162,f196]) ).
fof(f2164,plain,
~ sQ37_spl,
inference(contradiction_clause,[status(thm)],[f2163]) ).
fof(f2172,plain,
( ~ sQ90_spl
| ~ sQ92_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f703,f697]) ).
fof(f2173,plain,
( ~ sQ90_spl
| ~ sQ92_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2172,f196]) ).
fof(f2174,plain,
( ~ sQ90_spl
| ~ sQ92_spl ),
inference(contradiction_clause,[status(thm)],[f2173]) ).
fof(f2216,plain,
( ~ sQ128_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f2113,f705,f817]) ).
fof(f2233,plain,
( ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f437,f1092]) ).
fof(f2234,plain,
~ sQ9_spl,
inference(contradiction_clause,[status(thm)],[f2233]) ).
fof(f2238,plain,
( ~ sQ99_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f1095,f676,f724]) ).
fof(f2239,plain,
( ~ sQ95_spl
| ~ sQ99_spl
| e4 = e0 ),
inference(forward_demodulation,[status(thm)],[f725,f713]) ).
fof(f2240,plain,
( ~ sQ95_spl
| ~ sQ99_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2239,f198]) ).
fof(f2241,plain,
( ~ sQ95_spl
| ~ sQ99_spl ),
inference(contradiction_clause,[status(thm)],[f2240]) ).
fof(f2246,plain,
( ~ sQ0_spl
| ~ sQ1_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f412,f409]) ).
fof(f2247,plain,
( ~ sQ0_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2246,f195]) ).
fof(f2248,plain,
( ~ sQ0_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f2247]) ).
fof(f2249,plain,
( ~ sQ113_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f770,f1079]) ).
fof(f2250,plain,
( ~ sQ113_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2249]) ).
fof(f2251,plain,
~ sQ113_spl,
inference(contradiction_clause,[status(thm)],[f2250]) ).
fof(f2259,plain,
( ~ sQ105_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1636,f424,f744]) ).
fof(f2261,plain,
( ~ sQ105_spl
| ~ sQ107_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f751,f745]) ).
fof(f2262,plain,
( ~ sQ105_spl
| ~ sQ107_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2261,f196]) ).
fof(f2263,plain,
( ~ sQ105_spl
| ~ sQ107_spl ),
inference(contradiction_clause,[status(thm)],[f2262]) ).
fof(f2272,plain,
( ~ sQ78_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1426,f417,f657]) ).
fof(f2274,plain,
( ~ sQ54_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f1748,f660,f580]) ).
fof(f2286,plain,
( ~ sQ114_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f1888,f740,f772]) ).
fof(f2293,plain,
( ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f501,f1088]) ).
fof(f2294,plain,
~ sQ29_spl,
inference(contradiction_clause,[status(thm)],[f2293]) ).
fof(f2319,plain,
( ~ sQ125_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f1491,f574,f808]) ).
fof(f2320,plain,
( ~ sQ125_spl
| sQ78_spl ),
inference(split_clause,[status(thm)],[f1487,f657,f808]) ).
fof(f2321,plain,
( ~ sQ125_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f1483,f740,f808]) ).
fof(f2339,plain,
( ~ sQ48_spl
| ~ sQ46_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f556,f562]) ).
fof(f2340,plain,
( ~ sQ48_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2339,f200]) ).
fof(f2341,plain,
( ~ sQ48_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f2340]) ).
fof(f2343,plain,
( ~ sQ86_spl
| e1 != op(e3,e4) ),
inference(forward_demodulation,[status(thm)],[f684,f183]) ).
fof(f2344,plain,
( ~ sQ86_spl
| ~ sQ96_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f716,f2343]) ).
fof(f2345,plain,
( ~ sQ86_spl
| ~ sQ96_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2344]) ).
fof(f2346,plain,
( ~ sQ86_spl
| ~ sQ96_spl ),
inference(contradiction_clause,[status(thm)],[f2345]) ).
fof(f2370,plain,
( ~ sQ91_spl
| ~ sQ90_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f697,f700]) ).
fof(f2371,plain,
( ~ sQ91_spl
| ~ sQ90_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2370,f195]) ).
fof(f2372,plain,
( ~ sQ91_spl
| ~ sQ90_spl ),
inference(contradiction_clause,[status(thm)],[f2371]) ).
fof(f2373,plain,
$false,
inference(sat_refutation,[status(thm)],[f439,f455,f487,f503,f519,f535,f567,f599,f615,f631,f647,f727,f743,f759,f775,f791,f807,f823,f824,f828,f829,f830,f832,f833,f835,f836,f837,f838,f839,f840,f841,f844,f846,f847,f848,f849,f852,f853,f856,f859,f860,f861,f862,f864,f865,f866,f867,f870,f871,f872,f873,f874,f875,f882,f888,f897,f904,f912,f921,f928,f930,f936,f945,f947,f952,f953,f954,f955,f960,f963,f969,f971,f972,f976,f979,f984,f987,f992,f995,f1001,f1003,f1008,f1011,f1016,f1019,f1024,f1027,f1032,f1035,f1040,f1041,f1043,f1048,f1049,f1050,f1051,f1052,f1056,f1057,f1059,f1064,f1065,f1067,f1069,f1071,f1122,f1125,f1152,f1161,f1167,f1170,f1173,f1179,f1185,f1217,f1220,f1223,f1226,f1229,f1232,f1235,f1238,f1241,f1244,f1247,f1264,f1270,f1273,f1279,f1282,f1293,f1296,f1315,f1318,f1321,f1332,f1344,f1376,f1383,f1388,f1398,f1403,f1440,f1449,f1469,f1472,f1479,f1482,f1486,f1494,f1498,f1500,f1520,f1523,f1526,f1530,f1533,f1537,f1540,f1546,f1551,f1568,f1573,f1582,f1585,f1586,f1587,f1609,f1665,f1671,f1683,f1698,f1717,f1733,f1741,f1747,f1754,f1759,f1761,f1762,f1771,f1778,f1780,f1796,f1802,f1803,f1809,f1823,f1824,f1838,f1856,f1865,f1884,f1889,f1901,f1908,f1915,f1925,f1936,f1970,f1982,f1983,f2022,f2034,f2051,f2053,f2054,f2089,f2108,f2135,f2154,f2164,f2174,f2216,f2234,f2238,f2241,f2248,f2251,f2259,f2263,f2272,f2274,f2286,f2294,f2319,f2320,f2321,f2341,f2346,f2372]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ALG063+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n026.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Mon Sep 21 12:57:52 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.46 % Drodi V4.1.1
% 0.27/0.60 % Refutation found
% 0.27/0.60 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.27/0.60 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.27/0.63 % Elapsed time: 0.185919 seconds
% 0.27/0.63 % CPU time: 1.097053 seconds
% 0.27/0.63 % Total memory used: 128.061 MB
% 0.27/0.63 % Net memory used: 127.394 MB
%------------------------------------------------------------------------------