%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG058+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 11:47:58 AM UTC 2026
% Result : Theorem 0.12s 0.78s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 311
% Syntax : Number of formulae : 1107 ( 140 unt; 304 def)
% Number of atoms : 9985 (8094 equ)
% Maximal formula atoms : 450 ( 9 avg)
% Number of connectives : 14137 (5259 ~;3606 |;4867 &)
% ( 405 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 306 ( 304 usr; 305 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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
( e4 = op(op(e2,e2),op(e2,e2))
& e3 = op(e2,e2)
& e1 = op(op(e2,e2),e2)
& e0 = op(op(op(e2,e2),e2),op(op(e2,e2),e2)) ),
file('/export/starexec/sandbox/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 ) )
& ( ( ( ( e4 != unit
& op(e4,e4) = e4 )
| op(e4,e4) != e4 )
& ( ( e4 != unit
& op(e4,e4) = e3 )
| op(e4,e3) != e4 )
& ( ( e4 != unit
& op(e4,e4) = e2 )
| op(e4,e2) != e4 )
& ( ( e4 != unit
& op(e4,e4) = e1 )
| op(e4,e1) != e4 )
& ( ( e4 != unit
& op(e4,e4) = e0 )
| op(e4,e0) != e4 )
& ( ( e4 != unit
& op(e3,e4) = e4 )
| op(e3,e4) != e4 )
& ( ( e4 != unit
& op(e3,e4) = e3 )
| op(e3,e3) != e4 )
& ( ( e4 != unit
& op(e3,e4) = e2 )
| op(e3,e2) != e4 )
& ( ( e4 != unit
& op(e3,e4) = e1 )
| op(e3,e1) != e4 )
& ( ( e4 != unit
& op(e3,e4) = e0 )
| op(e3,e0) != e4 )
& ( ( e4 != unit
& op(e2,e4) = e4 )
| op(e2,e4) != e4 )
& ( ( e4 != unit
& op(e2,e4) = e3 )
| op(e2,e3) != e4 )
& ( ( e4 != unit
& op(e2,e4) = e2 )
| op(e2,e2) != e4 )
& ( ( e4 != unit
& op(e2,e4) = e1 )
| op(e2,e1) != e4 )
& ( ( e4 != unit
& op(e2,e4) = e0 )
| op(e2,e0) != e4 )
& ( ( e4 != unit
& op(e1,e4) = e4 )
| op(e1,e4) != e4 )
& ( ( e4 != unit
& op(e1,e4) = e3 )
| op(e1,e3) != e4 )
& ( ( e4 != unit
& op(e1,e4) = e2 )
| op(e1,e2) != e4 )
& ( ( e4 != unit
& op(e1,e4) = e1 )
| op(e1,e1) != e4 )
& ( ( e4 != unit
& op(e1,e4) = e0 )
| op(e1,e0) != e4 )
& ( ( e4 != unit
& op(e0,e4) = e4 )
| op(e0,e4) != e4 )
& ( ( e4 != unit
& op(e0,e4) = e3 )
| op(e0,e3) != e4 )
& ( ( e4 != unit
& op(e0,e4) = e2 )
| op(e0,e2) != e4 )
& ( ( e4 != unit
& op(e0,e4) = e1 )
| op(e0,e1) != e4 )
& ( ( e4 != unit
& op(e0,e4) = e0 )
| op(e0,e0) != e4 ) )
| ( ( ( e3 != unit
& op(e4,e3) = e4 )
| op(e4,e4) != e3 )
& ( ( e3 != unit
& op(e4,e3) = e3 )
| op(e4,e3) != e3 )
& ( ( e3 != unit
& op(e4,e3) = e2 )
| op(e4,e2) != e3 )
& ( ( e3 != unit
& op(e4,e3) = e1 )
| op(e4,e1) != e3 )
& ( ( e3 != unit
& op(e4,e3) = e0 )
| op(e4,e0) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e4 )
| op(e3,e4) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e3 )
| op(e3,e3) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e2 )
| op(e3,e2) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e1 )
| op(e3,e1) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e0 )
| op(e3,e0) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e4 )
| op(e2,e4) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e3 )
| op(e2,e3) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e2 )
| op(e2,e2) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e1 )
| op(e2,e1) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e0 )
| op(e2,e0) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e4 )
| op(e1,e4) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e3 )
| op(e1,e3) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e2 )
| op(e1,e2) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e1 )
| op(e1,e1) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e0 )
| op(e1,e0) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e4 )
| op(e0,e4) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e3 )
| op(e0,e3) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e2 )
| op(e0,e2) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e1 )
| op(e0,e1) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e0 )
| op(e0,e0) != e3 ) )
| ( ( ( e2 != unit
& op(e4,e2) = e4 )
| op(e4,e4) != e2 )
& ( ( e2 != unit
& op(e4,e2) = e3 )
| op(e4,e3) != e2 )
& ( ( e2 != unit
& op(e4,e2) = e2 )
| op(e4,e2) != e2 )
& ( ( e2 != unit
& op(e4,e2) = e1 )
| op(e4,e1) != e2 )
& ( ( e2 != unit
& op(e4,e2) = e0 )
| op(e4,e0) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e4 )
| op(e3,e4) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e3 )
| op(e3,e3) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e2 )
| op(e3,e2) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e1 )
| op(e3,e1) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e0 )
| op(e3,e0) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e4 )
| op(e2,e4) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e3 )
| op(e2,e3) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e2 )
| op(e2,e2) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e1 )
| op(e2,e1) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e0 )
| op(e2,e0) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e4 )
| op(e1,e4) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e3 )
| op(e1,e3) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e2 )
| op(e1,e2) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e1 )
| op(e1,e1) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e0 )
| op(e1,e0) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e4 )
| op(e0,e4) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e3 )
| op(e0,e3) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e2 )
| op(e0,e2) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e1 )
| op(e0,e1) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e0 )
| op(e0,e0) != e2 ) )
| ( ( ( e1 != unit
& op(e4,e1) = e4 )
| op(e4,e4) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e3 )
| op(e4,e3) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e2 )
| op(e4,e2) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e1 )
| op(e4,e1) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e0 )
| op(e4,e0) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e4 )
| op(e3,e4) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e3 )
| op(e3,e3) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e2 )
| op(e3,e2) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e1 )
| op(e3,e1) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e0 )
| op(e3,e0) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e4 )
| op(e2,e4) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e3 )
| op(e2,e3) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e2 )
| op(e2,e2) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e1 )
| op(e2,e1) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e0 )
| op(e2,e0) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e4 )
| op(e1,e4) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e3 )
| op(e1,e3) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e2 )
| op(e1,e2) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e1 )
| op(e1,e1) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e0 )
| op(e1,e0) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e4 )
| op(e0,e4) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e3 )
| op(e0,e3) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e2 )
| op(e0,e2) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e1 )
| op(e0,e1) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ) )
| ( ( ( e0 != unit
& op(e4,e0) = e4 )
| op(e4,e4) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e3 )
| op(e4,e3) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e2 )
| op(e4,e2) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e1 )
| op(e4,e1) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e0 )
| op(e4,e0) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e4 )
| op(e3,e4) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e3 )
| op(e3,e3) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e2 )
| op(e3,e2) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e1 )
| op(e3,e1) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e0 )
| op(e3,e0) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e4 )
| op(e2,e4) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e3 )
| op(e2,e3) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e2 )
| op(e2,e2) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e1 )
| op(e2,e1) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e0 )
| op(e2,e0) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e4 )
| op(e1,e4) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e3 )
| op(e1,e3) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e2 )
| op(e1,e2) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e1 )
| op(e1,e1) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e0 )
| op(e1,e0) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| op(e0,e4) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e3 )
| op(e0,e3) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| op(e0,e2) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| op(e0,e1) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ) ) ) ),
file('/export/starexec/sandbox/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 ) )
& ( ( ( ( e4 != unit
& op(e4,e4) = e4 )
| op(e4,e4) != e4 )
& ( ( e4 != unit
& op(e4,e4) = e3 )
| op(e4,e3) != e4 )
& ( ( e4 != unit
& op(e4,e4) = e2 )
| op(e4,e2) != e4 )
& ( ( e4 != unit
& op(e4,e4) = e1 )
| op(e4,e1) != e4 )
& ( ( e4 != unit
& op(e4,e4) = e0 )
| op(e4,e0) != e4 )
& ( ( e4 != unit
& op(e3,e4) = e4 )
| op(e3,e4) != e4 )
& ( ( e4 != unit
& op(e3,e4) = e3 )
| op(e3,e3) != e4 )
& ( ( e4 != unit
& op(e3,e4) = e2 )
| op(e3,e2) != e4 )
& ( ( e4 != unit
& op(e3,e4) = e1 )
| op(e3,e1) != e4 )
& ( ( e4 != unit
& op(e3,e4) = e0 )
| op(e3,e0) != e4 )
& ( ( e4 != unit
& op(e2,e4) = e4 )
| op(e2,e4) != e4 )
& ( ( e4 != unit
& op(e2,e4) = e3 )
| op(e2,e3) != e4 )
& ( ( e4 != unit
& op(e2,e4) = e2 )
| op(e2,e2) != e4 )
& ( ( e4 != unit
& op(e2,e4) = e1 )
| op(e2,e1) != e4 )
& ( ( e4 != unit
& op(e2,e4) = e0 )
| op(e2,e0) != e4 )
& ( ( e4 != unit
& op(e1,e4) = e4 )
| op(e1,e4) != e4 )
& ( ( e4 != unit
& op(e1,e4) = e3 )
| op(e1,e3) != e4 )
& ( ( e4 != unit
& op(e1,e4) = e2 )
| op(e1,e2) != e4 )
& ( ( e4 != unit
& op(e1,e4) = e1 )
| op(e1,e1) != e4 )
& ( ( e4 != unit
& op(e1,e4) = e0 )
| op(e1,e0) != e4 )
& ( ( e4 != unit
& op(e0,e4) = e4 )
| op(e0,e4) != e4 )
& ( ( e4 != unit
& op(e0,e4) = e3 )
| op(e0,e3) != e4 )
& ( ( e4 != unit
& op(e0,e4) = e2 )
| op(e0,e2) != e4 )
& ( ( e4 != unit
& op(e0,e4) = e1 )
| op(e0,e1) != e4 )
& ( ( e4 != unit
& op(e0,e4) = e0 )
| op(e0,e0) != e4 ) )
| ( ( ( e3 != unit
& op(e4,e3) = e4 )
| op(e4,e4) != e3 )
& ( ( e3 != unit
& op(e4,e3) = e3 )
| op(e4,e3) != e3 )
& ( ( e3 != unit
& op(e4,e3) = e2 )
| op(e4,e2) != e3 )
& ( ( e3 != unit
& op(e4,e3) = e1 )
| op(e4,e1) != e3 )
& ( ( e3 != unit
& op(e4,e3) = e0 )
| op(e4,e0) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e4 )
| op(e3,e4) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e3 )
| op(e3,e3) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e2 )
| op(e3,e2) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e1 )
| op(e3,e1) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e0 )
| op(e3,e0) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e4 )
| op(e2,e4) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e3 )
| op(e2,e3) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e2 )
| op(e2,e2) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e1 )
| op(e2,e1) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e0 )
| op(e2,e0) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e4 )
| op(e1,e4) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e3 )
| op(e1,e3) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e2 )
| op(e1,e2) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e1 )
| op(e1,e1) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e0 )
| op(e1,e0) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e4 )
| op(e0,e4) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e3 )
| op(e0,e3) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e2 )
| op(e0,e2) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e1 )
| op(e0,e1) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e0 )
| op(e0,e0) != e3 ) )
| ( ( ( e2 != unit
& op(e4,e2) = e4 )
| op(e4,e4) != e2 )
& ( ( e2 != unit
& op(e4,e2) = e3 )
| op(e4,e3) != e2 )
& ( ( e2 != unit
& op(e4,e2) = e2 )
| op(e4,e2) != e2 )
& ( ( e2 != unit
& op(e4,e2) = e1 )
| op(e4,e1) != e2 )
& ( ( e2 != unit
& op(e4,e2) = e0 )
| op(e4,e0) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e4 )
| op(e3,e4) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e3 )
| op(e3,e3) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e2 )
| op(e3,e2) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e1 )
| op(e3,e1) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e0 )
| op(e3,e0) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e4 )
| op(e2,e4) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e3 )
| op(e2,e3) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e2 )
| op(e2,e2) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e1 )
| op(e2,e1) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e0 )
| op(e2,e0) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e4 )
| op(e1,e4) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e3 )
| op(e1,e3) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e2 )
| op(e1,e2) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e1 )
| op(e1,e1) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e0 )
| op(e1,e0) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e4 )
| op(e0,e4) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e3 )
| op(e0,e3) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e2 )
| op(e0,e2) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e1 )
| op(e0,e1) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e0 )
| op(e0,e0) != e2 ) )
| ( ( ( e1 != unit
& op(e4,e1) = e4 )
| op(e4,e4) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e3 )
| op(e4,e3) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e2 )
| op(e4,e2) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e1 )
| op(e4,e1) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e0 )
| op(e4,e0) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e4 )
| op(e3,e4) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e3 )
| op(e3,e3) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e2 )
| op(e3,e2) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e1 )
| op(e3,e1) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e0 )
| op(e3,e0) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e4 )
| op(e2,e4) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e3 )
| op(e2,e3) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e2 )
| op(e2,e2) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e1 )
| op(e2,e1) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e0 )
| op(e2,e0) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e4 )
| op(e1,e4) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e3 )
| op(e1,e3) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e2 )
| op(e1,e2) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e1 )
| op(e1,e1) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e0 )
| op(e1,e0) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e4 )
| op(e0,e4) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e3 )
| op(e0,e3) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e2 )
| op(e0,e2) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e1 )
| op(e0,e1) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ) )
| ( ( ( e0 != unit
& op(e4,e0) = e4 )
| op(e4,e4) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e3 )
| op(e4,e3) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e2 )
| op(e4,e2) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e1 )
| op(e4,e1) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e0 )
| op(e4,e0) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e4 )
| op(e3,e4) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e3 )
| op(e3,e3) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e2 )
| op(e3,e2) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e1 )
| op(e3,e1) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e0 )
| op(e3,e0) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e4 )
| op(e2,e4) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e3 )
| op(e2,e3) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e2 )
| op(e2,e2) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e1 )
| op(e2,e1) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e0 )
| op(e2,e0) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e4 )
| op(e1,e4) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e3 )
| op(e1,e3) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e2 )
| op(e1,e2) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e1 )
| op(e1,e1) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e0 )
| op(e1,e0) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| op(e0,e4) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e3 )
| op(e0,e3) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| op(e0,e2) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| op(e0,e1) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f7]) ).
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(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(f34,plain,
op(unit,e0) = e0,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f36,plain,
op(unit,e1) = e1,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f37,plain,
op(e1,unit) = e1,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f38,plain,
op(unit,e2) = e2,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f39,plain,
op(e2,unit) = e2,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f40,plain,
op(unit,e3) = e3,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(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(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(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(f66,plain,
( op(e4,e2) = e0
| op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f79,plain,
( op(e3,e4) = e2
| op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(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(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(f109,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f115,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f116,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f117,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f118,plain,
op(e0,e2) != op(e4,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f119,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f120,plain,
op(e1,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(f124,plain,
op(e3,e2) != op(e4,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f127,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f130,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f131,plain,
op(e1,e3) != op(e4,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f134,plain,
op(e3,e3) != op(e4,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f140,plain,
op(e1,e4) != op(e3,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f145,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f146,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f147,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f148,plain,
op(e0,e0) != op(e0,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f149,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f152,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f155,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f159,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f160,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f161,plain,
op(e1,e1) != 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(f166,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f169,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f172,plain,
op(e2,e2) != 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(f176,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f177,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f179,plain,
op(e3,e1) != op(e3,e2),
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(f183,plain,
op(e3,e2) != op(e3,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f184,plain,
op(e3,e3) != op(e3,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f188,plain,
op(e4,e0) != op(e4,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f189,plain,
op(e4,e1) != op(e4,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f191,plain,
op(e4,e1) != 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(op(op(e2,e2),e2),op(op(e2,e2),e2)),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f206,plain,
e1 = op(op(e2,e2),e2),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f207,plain,
e3 = op(e2,e2),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f208,plain,
e4 = op(op(e2,e2),op(e2,e2)),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f209,definition,
( sP0_prd
<=> ( ( ( ( e3 != unit
& op(e4,e3) = e4 )
| op(e4,e4) != e3 )
& ( ( e3 != unit
& op(e4,e3) = e3 )
| op(e4,e3) != e3 )
& ( ( e3 != unit
& op(e4,e3) = e2 )
| op(e4,e2) != e3 )
& ( ( e3 != unit
& op(e4,e3) = e1 )
| op(e4,e1) != e3 )
& ( ( e3 != unit
& op(e4,e3) = e0 )
| op(e4,e0) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e4 )
| op(e3,e4) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e3 )
| op(e3,e3) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e2 )
| op(e3,e2) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e1 )
| op(e3,e1) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e0 )
| op(e3,e0) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e4 )
| op(e2,e4) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e3 )
| op(e2,e3) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e2 )
| op(e2,e2) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e1 )
| op(e2,e1) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e0 )
| op(e2,e0) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e4 )
| op(e1,e4) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e3 )
| op(e1,e3) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e2 )
| op(e1,e2) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e1 )
| op(e1,e1) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e0 )
| op(e1,e0) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e4 )
| op(e0,e4) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e3 )
| op(e0,e3) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e2 )
| op(e0,e2) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e1 )
| op(e0,e1) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e0 )
| op(e0,e0) != e3 ) )
| ( ( ( e2 != unit
& op(e4,e2) = e4 )
| op(e4,e4) != e2 )
& ( ( e2 != unit
& op(e4,e2) = e3 )
| op(e4,e3) != e2 )
& ( ( e2 != unit
& op(e4,e2) = e2 )
| op(e4,e2) != e2 )
& ( ( e2 != unit
& op(e4,e2) = e1 )
| op(e4,e1) != e2 )
& ( ( e2 != unit
& op(e4,e2) = e0 )
| op(e4,e0) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e4 )
| op(e3,e4) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e3 )
| op(e3,e3) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e2 )
| op(e3,e2) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e1 )
| op(e3,e1) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e0 )
| op(e3,e0) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e4 )
| op(e2,e4) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e3 )
| op(e2,e3) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e2 )
| op(e2,e2) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e1 )
| op(e2,e1) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e0 )
| op(e2,e0) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e4 )
| op(e1,e4) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e3 )
| op(e1,e3) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e2 )
| op(e1,e2) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e1 )
| op(e1,e1) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e0 )
| op(e1,e0) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e4 )
| op(e0,e4) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e3 )
| op(e0,e3) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e2 )
| op(e0,e2) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e1 )
| op(e0,e1) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e0 )
| op(e0,e0) != e2 ) )
| ( ( ( e1 != unit
& op(e4,e1) = e4 )
| op(e4,e4) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e3 )
| op(e4,e3) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e2 )
| op(e4,e2) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e1 )
| op(e4,e1) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e0 )
| op(e4,e0) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e4 )
| op(e3,e4) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e3 )
| op(e3,e3) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e2 )
| op(e3,e2) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e1 )
| op(e3,e1) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e0 )
| op(e3,e0) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e4 )
| op(e2,e4) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e3 )
| op(e2,e3) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e2 )
| op(e2,e2) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e1 )
| op(e2,e1) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e0 )
| op(e2,e0) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e4 )
| op(e1,e4) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e3 )
| op(e1,e3) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e2 )
| op(e1,e2) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e1 )
| op(e1,e1) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e0 )
| op(e1,e0) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e4 )
| op(e0,e4) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e3 )
| op(e0,e3) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e2 )
| op(e0,e2) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e1 )
| op(e0,e1) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ) )
| ( ( ( e0 != unit
& op(e4,e0) = e4 )
| op(e4,e4) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e3 )
| op(e4,e3) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e2 )
| op(e4,e2) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e1 )
| op(e4,e1) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e0 )
| op(e4,e0) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e4 )
| op(e3,e4) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e3 )
| op(e3,e3) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e2 )
| op(e3,e2) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e1 )
| op(e3,e1) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e0 )
| op(e3,e0) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e4 )
| op(e2,e4) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e3 )
| op(e2,e3) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e2 )
| op(e2,e2) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e1 )
| op(e2,e1) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e0 )
| op(e2,e0) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e4 )
| op(e1,e4) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e3 )
| op(e1,e3) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e2 )
| op(e1,e2) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e1 )
| op(e1,e1) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e0 )
| op(e1,e0) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| op(e0,e4) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e3 )
| op(e0,e3) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| op(e0,e2) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| op(e0,e1) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f210,definition,
( sP1_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,[sP1_prd])],[]) ).
fof(f211,plain,
( ( ( op(e4,e4) != e4
& op(e4,e4) = e4
& op(e4,e4) = e4 )
| sP1_prd )
& ( ( ( ( e4 != unit
& op(e4,e4) = e4 )
| op(e4,e4) != e4 )
& ( ( e4 != unit
& op(e4,e4) = e3 )
| op(e4,e3) != e4 )
& ( ( e4 != unit
& op(e4,e4) = e2 )
| op(e4,e2) != e4 )
& ( ( e4 != unit
& op(e4,e4) = e1 )
| op(e4,e1) != e4 )
& ( ( e4 != unit
& op(e4,e4) = e0 )
| op(e4,e0) != e4 )
& ( ( e4 != unit
& op(e3,e4) = e4 )
| op(e3,e4) != e4 )
& ( ( e4 != unit
& op(e3,e4) = e3 )
| op(e3,e3) != e4 )
& ( ( e4 != unit
& op(e3,e4) = e2 )
| op(e3,e2) != e4 )
& ( ( e4 != unit
& op(e3,e4) = e1 )
| op(e3,e1) != e4 )
& ( ( e4 != unit
& op(e3,e4) = e0 )
| op(e3,e0) != e4 )
& ( ( e4 != unit
& op(e2,e4) = e4 )
| op(e2,e4) != e4 )
& ( ( e4 != unit
& op(e2,e4) = e3 )
| op(e2,e3) != e4 )
& ( ( e4 != unit
& op(e2,e4) = e2 )
| op(e2,e2) != e4 )
& ( ( e4 != unit
& op(e2,e4) = e1 )
| op(e2,e1) != e4 )
& ( ( e4 != unit
& op(e2,e4) = e0 )
| op(e2,e0) != e4 )
& ( ( e4 != unit
& op(e1,e4) = e4 )
| op(e1,e4) != e4 )
& ( ( e4 != unit
& op(e1,e4) = e3 )
| op(e1,e3) != e4 )
& ( ( e4 != unit
& op(e1,e4) = e2 )
| op(e1,e2) != e4 )
& ( ( e4 != unit
& op(e1,e4) = e1 )
| op(e1,e1) != e4 )
& ( ( e4 != unit
& op(e1,e4) = e0 )
| op(e1,e0) != e4 )
& ( ( e4 != unit
& op(e0,e4) = e4 )
| op(e0,e4) != e4 )
& ( ( e4 != unit
& op(e0,e4) = e3 )
| op(e0,e3) != e4 )
& ( ( e4 != unit
& op(e0,e4) = e2 )
| op(e0,e2) != e4 )
& ( ( e4 != unit
& op(e0,e4) = e1 )
| op(e0,e1) != e4 )
& ( ( e4 != unit
& op(e0,e4) = e0 )
| op(e0,e0) != e4 ) )
| sP0_prd ) ),
inference(formula_renaming,[status(thm)],[f8,f210,f209]) ).
fof(f248,plain,
( op(e3,e4) = e3
| op(e3,e3) != e4
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f211]) ).
fof(f249,plain,
( e4 != unit
| op(e3,e3) != e4
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f211]) ).
fof(f262,plain,
( op(e4,e4) = e4
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f211]) ).
fof(f265,definition,
( sP2_prd
<=> ( ( ( ( e2 != unit
& op(e4,e2) = e4 )
| op(e4,e4) != e2 )
& ( ( e2 != unit
& op(e4,e2) = e3 )
| op(e4,e3) != e2 )
& ( ( e2 != unit
& op(e4,e2) = e2 )
| op(e4,e2) != e2 )
& ( ( e2 != unit
& op(e4,e2) = e1 )
| op(e4,e1) != e2 )
& ( ( e2 != unit
& op(e4,e2) = e0 )
| op(e4,e0) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e4 )
| op(e3,e4) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e3 )
| op(e3,e3) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e2 )
| op(e3,e2) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e1 )
| op(e3,e1) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e0 )
| op(e3,e0) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e4 )
| op(e2,e4) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e3 )
| op(e2,e3) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e2 )
| op(e2,e2) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e1 )
| op(e2,e1) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e0 )
| op(e2,e0) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e4 )
| op(e1,e4) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e3 )
| op(e1,e3) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e2 )
| op(e1,e2) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e1 )
| op(e1,e1) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e0 )
| op(e1,e0) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e4 )
| op(e0,e4) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e3 )
| op(e0,e3) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e2 )
| op(e0,e2) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e1 )
| op(e0,e1) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e0 )
| op(e0,e0) != e2 ) )
| ( ( ( e1 != unit
& op(e4,e1) = e4 )
| op(e4,e4) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e3 )
| op(e4,e3) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e2 )
| op(e4,e2) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e1 )
| op(e4,e1) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e0 )
| op(e4,e0) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e4 )
| op(e3,e4) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e3 )
| op(e3,e3) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e2 )
| op(e3,e2) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e1 )
| op(e3,e1) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e0 )
| op(e3,e0) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e4 )
| op(e2,e4) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e3 )
| op(e2,e3) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e2 )
| op(e2,e2) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e1 )
| op(e2,e1) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e0 )
| op(e2,e0) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e4 )
| op(e1,e4) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e3 )
| op(e1,e3) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e2 )
| op(e1,e2) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e1 )
| op(e1,e1) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e0 )
| op(e1,e0) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e4 )
| op(e0,e4) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e3 )
| op(e0,e3) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e2 )
| op(e0,e2) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e1 )
| op(e0,e1) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ) )
| ( ( ( e0 != unit
& op(e4,e0) = e4 )
| op(e4,e4) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e3 )
| op(e4,e3) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e2 )
| op(e4,e2) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e1 )
| op(e4,e1) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e0 )
| op(e4,e0) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e4 )
| op(e3,e4) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e3 )
| op(e3,e3) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e2 )
| op(e3,e2) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e1 )
| op(e3,e1) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e0 )
| op(e3,e0) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e4 )
| op(e2,e4) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e3 )
| op(e2,e3) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e2 )
| op(e2,e2) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e1 )
| op(e2,e1) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e0 )
| op(e2,e0) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e4 )
| op(e1,e4) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e3 )
| op(e1,e3) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e2 )
| op(e1,e2) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e1 )
| op(e1,e1) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e0 )
| op(e1,e0) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| op(e0,e4) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e3 )
| op(e0,e3) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| op(e0,e2) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| op(e0,e1) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f266,plain,
( sP0_prd
<=> ( ( ( ( e3 != unit
& op(e4,e3) = e4 )
| op(e4,e4) != e3 )
& ( ( e3 != unit
& op(e4,e3) = e3 )
| op(e4,e3) != e3 )
& ( ( e3 != unit
& op(e4,e3) = e2 )
| op(e4,e2) != e3 )
& ( ( e3 != unit
& op(e4,e3) = e1 )
| op(e4,e1) != e3 )
& ( ( e3 != unit
& op(e4,e3) = e0 )
| op(e4,e0) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e4 )
| op(e3,e4) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e3 )
| op(e3,e3) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e2 )
| op(e3,e2) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e1 )
| op(e3,e1) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e0 )
| op(e3,e0) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e4 )
| op(e2,e4) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e3 )
| op(e2,e3) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e2 )
| op(e2,e2) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e1 )
| op(e2,e1) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e0 )
| op(e2,e0) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e4 )
| op(e1,e4) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e3 )
| op(e1,e3) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e2 )
| op(e1,e2) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e1 )
| op(e1,e1) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e0 )
| op(e1,e0) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e4 )
| op(e0,e4) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e3 )
| op(e0,e3) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e2 )
| op(e0,e2) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e1 )
| op(e0,e1) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e0 )
| op(e0,e0) != e3 ) )
| sP2_prd ) ),
inference(formula_renaming,[status(thm)],[f209,f265]) ).
fof(f267,definition,
( sP3_prd
<=> ( ( ( e3 != unit
& op(e4,e3) = e3 )
| op(e4,e3) != e3 )
& ( ( e3 != unit
& op(e4,e3) = e2 )
| op(e4,e2) != e3 )
& ( ( e3 != unit
& op(e4,e3) = e1 )
| op(e4,e1) != e3 )
& ( ( e3 != unit
& op(e4,e3) = e0 )
| op(e4,e0) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e4 )
| op(e3,e4) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e3 )
| op(e3,e3) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e2 )
| op(e3,e2) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e1 )
| op(e3,e1) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e0 )
| op(e3,e0) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e4 )
| op(e2,e4) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e3 )
| op(e2,e3) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e2 )
| op(e2,e2) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e1 )
| op(e2,e1) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e0 )
| op(e2,e0) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e4 )
| op(e1,e4) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e3 )
| op(e1,e3) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e2 )
| op(e1,e2) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e1 )
| op(e1,e1) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e0 )
| op(e1,e0) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e4 )
| op(e0,e4) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e3 )
| op(e0,e3) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e2 )
| op(e0,e2) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e1 )
| op(e0,e1) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e0 )
| op(e0,e0) != e3 ) ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f268,plain,
( sP0_prd
<=> ( ( ( ( e3 != unit
& op(e4,e3) = e4 )
| op(e4,e4) != e3 )
& sP3_prd )
| sP2_prd ) ),
inference(formula_renaming,[status(thm)],[f266,f267]) ).
fof(f269,plain,
( ( ( ( ( ( e3 = unit
| op(e4,e3) != e4 )
& op(e4,e4) = e3 )
| ~ sP3_prd )
& ~ sP2_prd )
| sP0_prd )
& ( ( ( ( e3 != unit
& op(e4,e3) = e4 )
| op(e4,e4) != e3 )
& sP3_prd )
| sP2_prd
| ~ sP0_prd ) ),
inference(NNF_transformation,[status(thm)],[f268]) ).
fof(f270,plain,
( sP3_prd
| sP2_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f269]) ).
fof(f276,definition,
( sP4_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,[sP4_prd])],[]) ).
fof(f277,plain,
( sP1_prd
<=> ( ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 )
| sP4_prd ) ),
inference(formula_renaming,[status(thm)],[f210,f276]) ).
fof(f278,plain,
( ( ( ( op(e4,e3) = e4
| op(e3,e3) != e4
| op(e4,e4) != e3 )
& ~ sP4_prd )
| sP1_prd )
& ( ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 )
| sP4_prd
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f277]) ).
fof(f279,plain,
( op(e4,e4) = e3
| sP4_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f278]) ).
fof(f284,definition,
( sP5_prd
<=> ( ( ( ( e1 != unit
& op(e4,e1) = e4 )
| op(e4,e4) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e3 )
| op(e4,e3) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e2 )
| op(e4,e2) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e1 )
| op(e4,e1) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e0 )
| op(e4,e0) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e4 )
| op(e3,e4) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e3 )
| op(e3,e3) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e2 )
| op(e3,e2) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e1 )
| op(e3,e1) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e0 )
| op(e3,e0) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e4 )
| op(e2,e4) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e3 )
| op(e2,e3) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e2 )
| op(e2,e2) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e1 )
| op(e2,e1) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e0 )
| op(e2,e0) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e4 )
| op(e1,e4) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e3 )
| op(e1,e3) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e2 )
| op(e1,e2) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e1 )
| op(e1,e1) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e0 )
| op(e1,e0) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e4 )
| op(e0,e4) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e3 )
| op(e0,e3) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e2 )
| op(e0,e2) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e1 )
| op(e0,e1) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ) )
| ( ( ( e0 != unit
& op(e4,e0) = e4 )
| op(e4,e4) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e3 )
| op(e4,e3) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e2 )
| op(e4,e2) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e1 )
| op(e4,e1) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e0 )
| op(e4,e0) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e4 )
| op(e3,e4) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e3 )
| op(e3,e3) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e2 )
| op(e3,e2) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e1 )
| op(e3,e1) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e0 )
| op(e3,e0) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e4 )
| op(e2,e4) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e3 )
| op(e2,e3) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e2 )
| op(e2,e2) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e1 )
| op(e2,e1) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e0 )
| op(e2,e0) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e4 )
| op(e1,e4) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e3 )
| op(e1,e3) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e2 )
| op(e1,e2) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e1 )
| op(e1,e1) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e0 )
| op(e1,e0) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| op(e0,e4) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e3 )
| op(e0,e3) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| op(e0,e2) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| op(e0,e1) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f285,plain,
( sP2_prd
<=> ( ( ( ( e2 != unit
& op(e4,e2) = e4 )
| op(e4,e4) != e2 )
& ( ( e2 != unit
& op(e4,e2) = e3 )
| op(e4,e3) != e2 )
& ( ( e2 != unit
& op(e4,e2) = e2 )
| op(e4,e2) != e2 )
& ( ( e2 != unit
& op(e4,e2) = e1 )
| op(e4,e1) != e2 )
& ( ( e2 != unit
& op(e4,e2) = e0 )
| op(e4,e0) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e4 )
| op(e3,e4) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e3 )
| op(e3,e3) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e2 )
| op(e3,e2) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e1 )
| op(e3,e1) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e0 )
| op(e3,e0) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e4 )
| op(e2,e4) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e3 )
| op(e2,e3) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e2 )
| op(e2,e2) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e1 )
| op(e2,e1) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e0 )
| op(e2,e0) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e4 )
| op(e1,e4) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e3 )
| op(e1,e3) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e2 )
| op(e1,e2) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e1 )
| op(e1,e1) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e0 )
| op(e1,e0) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e4 )
| op(e0,e4) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e3 )
| op(e0,e3) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e2 )
| op(e0,e2) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e1 )
| op(e0,e1) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e0 )
| op(e0,e0) != e2 ) )
| sP5_prd ) ),
inference(formula_renaming,[status(thm)],[f265,f284]) ).
fof(f286,definition,
( sP6_prd
<=> ( ( ( e2 != unit
& op(e4,e2) = e3 )
| op(e4,e3) != e2 )
& ( ( e2 != unit
& op(e4,e2) = e2 )
| op(e4,e2) != e2 )
& ( ( e2 != unit
& op(e4,e2) = e1 )
| op(e4,e1) != e2 )
& ( ( e2 != unit
& op(e4,e2) = e0 )
| op(e4,e0) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e4 )
| op(e3,e4) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e3 )
| op(e3,e3) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e2 )
| op(e3,e2) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e1 )
| op(e3,e1) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e0 )
| op(e3,e0) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e4 )
| op(e2,e4) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e3 )
| op(e2,e3) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e2 )
| op(e2,e2) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e1 )
| op(e2,e1) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e0 )
| op(e2,e0) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e4 )
| op(e1,e4) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e3 )
| op(e1,e3) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e2 )
| op(e1,e2) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e1 )
| op(e1,e1) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e0 )
| op(e1,e0) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e4 )
| op(e0,e4) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e3 )
| op(e0,e3) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e2 )
| op(e0,e2) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e1 )
| op(e0,e1) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e0 )
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f287,plain,
( sP2_prd
<=> ( ( ( ( e2 != unit
& op(e4,e2) = e4 )
| op(e4,e4) != e2 )
& sP6_prd )
| sP5_prd ) ),
inference(formula_renaming,[status(thm)],[f285,f286]) ).
fof(f288,plain,
( ( ( ( ( ( e2 = unit
| op(e4,e2) != e4 )
& op(e4,e4) = e2 )
| ~ sP6_prd )
& ~ sP5_prd )
| sP2_prd )
& ( ( ( ( e2 != unit
& op(e4,e2) = e4 )
| op(e4,e4) != e2 )
& sP6_prd )
| sP5_prd
| ~ sP2_prd ) ),
inference(NNF_transformation,[status(thm)],[f287]) ).
fof(f289,plain,
( sP6_prd
| sP5_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f288]) ).
fof(f295,definition,
( sP7_prd
<=> ( ( ( e3 != unit
& op(e4,e3) = e2 )
| op(e4,e2) != e3 )
& ( ( e3 != unit
& op(e4,e3) = e1 )
| op(e4,e1) != e3 )
& ( ( e3 != unit
& op(e4,e3) = e0 )
| op(e4,e0) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e4 )
| op(e3,e4) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e3 )
| op(e3,e3) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e2 )
| op(e3,e2) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e1 )
| op(e3,e1) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e0 )
| op(e3,e0) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e4 )
| op(e2,e4) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e3 )
| op(e2,e3) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e2 )
| op(e2,e2) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e1 )
| op(e2,e1) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e0 )
| op(e2,e0) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e4 )
| op(e1,e4) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e3 )
| op(e1,e3) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e2 )
| op(e1,e2) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e1 )
| op(e1,e1) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e0 )
| op(e1,e0) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e4 )
| op(e0,e4) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e3 )
| op(e0,e3) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e2 )
| op(e0,e2) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e1 )
| op(e0,e1) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e0 )
| op(e0,e0) != e3 ) ) ),
introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).
fof(f296,plain,
( sP3_prd
<=> ( ( ( e3 != unit
& op(e4,e3) = e3 )
| op(e4,e3) != e3 )
& sP7_prd ) ),
inference(formula_renaming,[status(thm)],[f267,f295]) ).
fof(f297,plain,
( ( ( ( e3 = unit
| op(e4,e3) != e3 )
& op(e4,e3) = e3 )
| ~ sP7_prd
| sP3_prd )
& ( ( ( ( e3 != unit
& op(e4,e3) = e3 )
| op(e4,e3) != e3 )
& sP7_prd )
| ~ sP3_prd ) ),
inference(NNF_transformation,[status(thm)],[f296]) ).
fof(f298,plain,
( sP7_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f297]) ).
fof(f303,definition,
( sP8_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,[sP8_prd])],[]) ).
fof(f304,plain,
( sP4_prd
<=> ( ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| sP8_prd ) ),
inference(formula_renaming,[status(thm)],[f276,f303]) ).
fof(f305,plain,
( ( ( ( op(e4,e2) = e4
| op(e2,e2) != e4
| op(e4,e4) != e2 )
& ~ sP8_prd )
| sP4_prd )
& ( ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| sP8_prd
| ~ sP4_prd ) ),
inference(NNF_transformation,[status(thm)],[f304]) ).
fof(f307,plain,
( op(e2,e2) = e4
| sP8_prd
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f305]) ).
fof(f311,definition,
( sP9_prd
<=> ( ( ( e0 != unit
& op(e4,e0) = e4 )
| op(e4,e4) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e3 )
| op(e4,e3) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e2 )
| op(e4,e2) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e1 )
| op(e4,e1) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e0 )
| op(e4,e0) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e4 )
| op(e3,e4) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e3 )
| op(e3,e3) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e2 )
| op(e3,e2) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e1 )
| op(e3,e1) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e0 )
| op(e3,e0) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e4 )
| op(e2,e4) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e3 )
| op(e2,e3) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e2 )
| op(e2,e2) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e1 )
| op(e2,e1) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e0 )
| op(e2,e0) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e4 )
| op(e1,e4) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e3 )
| op(e1,e3) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e2 )
| op(e1,e2) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e1 )
| op(e1,e1) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e0 )
| op(e1,e0) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| op(e0,e4) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e3 )
| op(e0,e3) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| op(e0,e2) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| op(e0,e1) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP9_prd])],[]) ).
fof(f312,plain,
( sP5_prd
<=> ( ( ( ( e1 != unit
& op(e4,e1) = e4 )
| op(e4,e4) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e3 )
| op(e4,e3) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e2 )
| op(e4,e2) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e1 )
| op(e4,e1) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e0 )
| op(e4,e0) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e4 )
| op(e3,e4) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e3 )
| op(e3,e3) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e2 )
| op(e3,e2) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e1 )
| op(e3,e1) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e0 )
| op(e3,e0) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e4 )
| op(e2,e4) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e3 )
| op(e2,e3) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e2 )
| op(e2,e2) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e1 )
| op(e2,e1) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e0 )
| op(e2,e0) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e4 )
| op(e1,e4) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e3 )
| op(e1,e3) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e2 )
| op(e1,e2) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e1 )
| op(e1,e1) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e0 )
| op(e1,e0) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e4 )
| op(e0,e4) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e3 )
| op(e0,e3) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e2 )
| op(e0,e2) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e1 )
| op(e0,e1) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ) )
| sP9_prd ) ),
inference(formula_renaming,[status(thm)],[f284,f311]) ).
fof(f313,definition,
( sP10_prd
<=> ( ( ( e1 != unit
& op(e4,e1) = e3 )
| op(e4,e3) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e2 )
| op(e4,e2) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e1 )
| op(e4,e1) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e0 )
| op(e4,e0) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e4 )
| op(e3,e4) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e3 )
| op(e3,e3) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e2 )
| op(e3,e2) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e1 )
| op(e3,e1) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e0 )
| op(e3,e0) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e4 )
| op(e2,e4) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e3 )
| op(e2,e3) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e2 )
| op(e2,e2) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e1 )
| op(e2,e1) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e0 )
| op(e2,e0) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e4 )
| op(e1,e4) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e3 )
| op(e1,e3) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e2 )
| op(e1,e2) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e1 )
| op(e1,e1) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e0 )
| op(e1,e0) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e4 )
| op(e0,e4) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e3 )
| op(e0,e3) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e2 )
| op(e0,e2) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e1 )
| op(e0,e1) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP10_prd])],[]) ).
fof(f314,plain,
( sP5_prd
<=> ( ( ( ( e1 != unit
& op(e4,e1) = e4 )
| op(e4,e4) != e1 )
& sP10_prd )
| sP9_prd ) ),
inference(formula_renaming,[status(thm)],[f312,f313]) ).
fof(f315,plain,
( ( ( ( ( ( e1 = unit
| op(e4,e1) != e4 )
& op(e4,e4) = e1 )
| ~ sP10_prd )
& ~ sP9_prd )
| sP5_prd )
& ( ( ( ( e1 != unit
& op(e4,e1) = e4 )
| op(e4,e4) != e1 )
& sP10_prd )
| sP9_prd
| ~ sP5_prd ) ),
inference(NNF_transformation,[status(thm)],[f314]) ).
fof(f316,plain,
( sP10_prd
| sP9_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f315]) ).
fof(f322,definition,
( sP11_prd
<=> ( ( ( e2 != unit
& op(e4,e2) = e2 )
| op(e4,e2) != e2 )
& ( ( e2 != unit
& op(e4,e2) = e1 )
| op(e4,e1) != e2 )
& ( ( e2 != unit
& op(e4,e2) = e0 )
| op(e4,e0) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e4 )
| op(e3,e4) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e3 )
| op(e3,e3) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e2 )
| op(e3,e2) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e1 )
| op(e3,e1) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e0 )
| op(e3,e0) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e4 )
| op(e2,e4) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e3 )
| op(e2,e3) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e2 )
| op(e2,e2) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e1 )
| op(e2,e1) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e0 )
| op(e2,e0) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e4 )
| op(e1,e4) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e3 )
| op(e1,e3) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e2 )
| op(e1,e2) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e1 )
| op(e1,e1) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e0 )
| op(e1,e0) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e4 )
| op(e0,e4) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e3 )
| op(e0,e3) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e2 )
| op(e0,e2) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e1 )
| op(e0,e1) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e0 )
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP11_prd])],[]) ).
fof(f323,plain,
( sP6_prd
<=> ( ( ( e2 != unit
& op(e4,e2) = e3 )
| op(e4,e3) != e2 )
& sP11_prd ) ),
inference(formula_renaming,[status(thm)],[f286,f322]) ).
fof(f324,plain,
( ( ( ( e2 = unit
| op(e4,e2) != e3 )
& op(e4,e3) = e2 )
| ~ sP11_prd
| sP6_prd )
& ( ( ( ( e2 != unit
& op(e4,e2) = e3 )
| op(e4,e3) != e2 )
& sP11_prd )
| ~ sP6_prd ) ),
inference(NNF_transformation,[status(thm)],[f323]) ).
fof(f325,plain,
( sP11_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f324]) ).
fof(f330,definition,
( sP12_prd
<=> ( ( ( e3 != unit
& op(e4,e3) = e1 )
| op(e4,e1) != e3 )
& ( ( e3 != unit
& op(e4,e3) = e0 )
| op(e4,e0) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e4 )
| op(e3,e4) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e3 )
| op(e3,e3) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e2 )
| op(e3,e2) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e1 )
| op(e3,e1) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e0 )
| op(e3,e0) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e4 )
| op(e2,e4) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e3 )
| op(e2,e3) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e2 )
| op(e2,e2) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e1 )
| op(e2,e1) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e0 )
| op(e2,e0) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e4 )
| op(e1,e4) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e3 )
| op(e1,e3) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e2 )
| op(e1,e2) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e1 )
| op(e1,e1) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e0 )
| op(e1,e0) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e4 )
| op(e0,e4) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e3 )
| op(e0,e3) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e2 )
| op(e0,e2) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e1 )
| op(e0,e1) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e0 )
| op(e0,e0) != e3 ) ) ),
introduced(definition,[new_symbols(definition,[sP12_prd])],[]) ).
fof(f331,plain,
( sP7_prd
<=> ( ( ( e3 != unit
& op(e4,e3) = e2 )
| op(e4,e2) != e3 )
& sP12_prd ) ),
inference(formula_renaming,[status(thm)],[f295,f330]) ).
fof(f332,plain,
( ( ( ( e3 = unit
| op(e4,e3) != e2 )
& op(e4,e2) = e3 )
| ~ sP12_prd
| sP7_prd )
& ( ( ( ( e3 != unit
& op(e4,e3) = e2 )
| op(e4,e2) != e3 )
& sP12_prd )
| ~ sP7_prd ) ),
inference(NNF_transformation,[status(thm)],[f331]) ).
fof(f333,plain,
( sP12_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f332]) ).
fof(f338,definition,
( sP13_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,[sP13_prd])],[]) ).
fof(f339,plain,
( sP8_prd
<=> ( ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| sP13_prd ) ),
inference(formula_renaming,[status(thm)],[f303,f338]) ).
fof(f340,plain,
( ( ( ( op(e4,e1) = e4
| op(e1,e1) != e4
| op(e4,e4) != e1 )
& ~ sP13_prd )
| sP8_prd )
& ( ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| sP13_prd
| ~ sP8_prd ) ),
inference(NNF_transformation,[status(thm)],[f339]) ).
fof(f342,plain,
( op(e1,e1) = e4
| sP13_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f340]) ).
fof(f346,definition,
( sP14_prd
<=> ( ( ( e0 != unit
& op(e4,e0) = e3 )
| op(e4,e3) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e2 )
| op(e4,e2) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e1 )
| op(e4,e1) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e0 )
| op(e4,e0) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e4 )
| op(e3,e4) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e3 )
| op(e3,e3) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e2 )
| op(e3,e2) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e1 )
| op(e3,e1) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e0 )
| op(e3,e0) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e4 )
| op(e2,e4) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e3 )
| op(e2,e3) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e2 )
| op(e2,e2) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e1 )
| op(e2,e1) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e0 )
| op(e2,e0) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e4 )
| op(e1,e4) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e3 )
| op(e1,e3) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e2 )
| op(e1,e2) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e1 )
| op(e1,e1) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e0 )
| op(e1,e0) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| op(e0,e4) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e3 )
| op(e0,e3) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| op(e0,e2) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| op(e0,e1) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP14_prd])],[]) ).
fof(f347,plain,
( sP9_prd
<=> ( ( ( e0 != unit
& op(e4,e0) = e4 )
| op(e4,e4) != e0 )
& sP14_prd ) ),
inference(formula_renaming,[status(thm)],[f311,f346]) ).
fof(f348,plain,
( ( ( ( e0 = unit
| op(e4,e0) != e4 )
& op(e4,e4) = e0 )
| ~ sP14_prd
| sP9_prd )
& ( ( ( ( e0 != unit
& op(e4,e0) = e4 )
| op(e4,e4) != e0 )
& sP14_prd )
| ~ sP9_prd ) ),
inference(NNF_transformation,[status(thm)],[f347]) ).
fof(f349,plain,
( sP14_prd
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f348]) ).
fof(f354,definition,
( sP15_prd
<=> ( ( ( e1 != unit
& op(e4,e1) = e2 )
| op(e4,e2) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e1 )
| op(e4,e1) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e0 )
| op(e4,e0) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e4 )
| op(e3,e4) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e3 )
| op(e3,e3) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e2 )
| op(e3,e2) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e1 )
| op(e3,e1) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e0 )
| op(e3,e0) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e4 )
| op(e2,e4) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e3 )
| op(e2,e3) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e2 )
| op(e2,e2) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e1 )
| op(e2,e1) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e0 )
| op(e2,e0) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e4 )
| op(e1,e4) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e3 )
| op(e1,e3) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e2 )
| op(e1,e2) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e1 )
| op(e1,e1) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e0 )
| op(e1,e0) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e4 )
| op(e0,e4) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e3 )
| op(e0,e3) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e2 )
| op(e0,e2) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e1 )
| op(e0,e1) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP15_prd])],[]) ).
fof(f355,plain,
( sP10_prd
<=> ( ( ( e1 != unit
& op(e4,e1) = e3 )
| op(e4,e3) != e1 )
& sP15_prd ) ),
inference(formula_renaming,[status(thm)],[f313,f354]) ).
fof(f356,plain,
( ( ( ( e1 = unit
| op(e4,e1) != e3 )
& op(e4,e3) = e1 )
| ~ sP15_prd
| sP10_prd )
& ( ( ( ( e1 != unit
& op(e4,e1) = e3 )
| op(e4,e3) != e1 )
& sP15_prd )
| ~ sP10_prd ) ),
inference(NNF_transformation,[status(thm)],[f355]) ).
fof(f357,plain,
( sP15_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f356]) ).
fof(f362,definition,
( sP16_prd
<=> ( ( ( e2 != unit
& op(e4,e2) = e1 )
| op(e4,e1) != e2 )
& ( ( e2 != unit
& op(e4,e2) = e0 )
| op(e4,e0) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e4 )
| op(e3,e4) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e3 )
| op(e3,e3) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e2 )
| op(e3,e2) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e1 )
| op(e3,e1) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e0 )
| op(e3,e0) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e4 )
| op(e2,e4) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e3 )
| op(e2,e3) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e2 )
| op(e2,e2) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e1 )
| op(e2,e1) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e0 )
| op(e2,e0) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e4 )
| op(e1,e4) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e3 )
| op(e1,e3) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e2 )
| op(e1,e2) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e1 )
| op(e1,e1) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e0 )
| op(e1,e0) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e4 )
| op(e0,e4) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e3 )
| op(e0,e3) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e2 )
| op(e0,e2) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e1 )
| op(e0,e1) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e0 )
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP16_prd])],[]) ).
fof(f363,plain,
( sP11_prd
<=> ( ( ( e2 != unit
& op(e4,e2) = e2 )
| op(e4,e2) != e2 )
& sP16_prd ) ),
inference(formula_renaming,[status(thm)],[f322,f362]) ).
fof(f364,plain,
( ( ( ( e2 = unit
| op(e4,e2) != e2 )
& op(e4,e2) = e2 )
| ~ sP16_prd
| sP11_prd )
& ( ( ( ( e2 != unit
& op(e4,e2) = e2 )
| op(e4,e2) != e2 )
& sP16_prd )
| ~ sP11_prd ) ),
inference(NNF_transformation,[status(thm)],[f363]) ).
fof(f365,plain,
( sP16_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f364]) ).
fof(f370,definition,
( sP17_prd
<=> ( ( ( e3 != unit
& op(e4,e3) = e0 )
| op(e4,e0) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e4 )
| op(e3,e4) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e3 )
| op(e3,e3) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e2 )
| op(e3,e2) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e1 )
| op(e3,e1) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e0 )
| op(e3,e0) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e4 )
| op(e2,e4) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e3 )
| op(e2,e3) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e2 )
| op(e2,e2) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e1 )
| op(e2,e1) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e0 )
| op(e2,e0) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e4 )
| op(e1,e4) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e3 )
| op(e1,e3) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e2 )
| op(e1,e2) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e1 )
| op(e1,e1) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e0 )
| op(e1,e0) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e4 )
| op(e0,e4) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e3 )
| op(e0,e3) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e2 )
| op(e0,e2) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e1 )
| op(e0,e1) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e0 )
| op(e0,e0) != e3 ) ) ),
introduced(definition,[new_symbols(definition,[sP17_prd])],[]) ).
fof(f371,plain,
( sP12_prd
<=> ( ( ( e3 != unit
& op(e4,e3) = e1 )
| op(e4,e1) != e3 )
& sP17_prd ) ),
inference(formula_renaming,[status(thm)],[f330,f370]) ).
fof(f372,plain,
( ( ( ( e3 = unit
| op(e4,e3) != e1 )
& op(e4,e1) = e3 )
| ~ sP17_prd
| sP12_prd )
& ( ( ( ( e3 != unit
& op(e4,e3) = e1 )
| op(e4,e1) != e3 )
& sP17_prd )
| ~ sP12_prd ) ),
inference(NNF_transformation,[status(thm)],[f371]) ).
fof(f373,plain,
( sP17_prd
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f372]) ).
fof(f378,definition,
( sP18_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,[sP18_prd])],[]) ).
fof(f379,plain,
( sP13_prd
<=> ( ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| sP18_prd ) ),
inference(formula_renaming,[status(thm)],[f338,f378]) ).
fof(f380,plain,
( ( ( ( op(e4,e0) = e4
| op(e0,e0) != e4
| op(e4,e4) != e0 )
& ~ sP18_prd )
| sP13_prd )
& ( ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| sP18_prd
| ~ sP13_prd ) ),
inference(NNF_transformation,[status(thm)],[f379]) ).
fof(f382,plain,
( op(e0,e0) = e4
| sP18_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f380]) ).
fof(f386,definition,
( sP19_prd
<=> ( ( ( e0 != unit
& op(e4,e0) = e2 )
| op(e4,e2) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e1 )
| op(e4,e1) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e0 )
| op(e4,e0) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e4 )
| op(e3,e4) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e3 )
| op(e3,e3) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e2 )
| op(e3,e2) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e1 )
| op(e3,e1) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e0 )
| op(e3,e0) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e4 )
| op(e2,e4) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e3 )
| op(e2,e3) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e2 )
| op(e2,e2) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e1 )
| op(e2,e1) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e0 )
| op(e2,e0) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e4 )
| op(e1,e4) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e3 )
| op(e1,e3) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e2 )
| op(e1,e2) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e1 )
| op(e1,e1) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e0 )
| op(e1,e0) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| op(e0,e4) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e3 )
| op(e0,e3) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| op(e0,e2) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| op(e0,e1) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP19_prd])],[]) ).
fof(f387,plain,
( sP14_prd
<=> ( ( ( e0 != unit
& op(e4,e0) = e3 )
| op(e4,e3) != e0 )
& sP19_prd ) ),
inference(formula_renaming,[status(thm)],[f346,f386]) ).
fof(f388,plain,
( ( ( ( e0 = unit
| op(e4,e0) != e3 )
& op(e4,e3) = e0 )
| ~ sP19_prd
| sP14_prd )
& ( ( ( ( e0 != unit
& op(e4,e0) = e3 )
| op(e4,e3) != e0 )
& sP19_prd )
| ~ sP14_prd ) ),
inference(NNF_transformation,[status(thm)],[f387]) ).
fof(f389,plain,
( sP19_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f388]) ).
fof(f394,definition,
( sP20_prd
<=> ( ( ( e1 != unit
& op(e4,e1) = e1 )
| op(e4,e1) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e0 )
| op(e4,e0) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e4 )
| op(e3,e4) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e3 )
| op(e3,e3) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e2 )
| op(e3,e2) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e1 )
| op(e3,e1) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e0 )
| op(e3,e0) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e4 )
| op(e2,e4) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e3 )
| op(e2,e3) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e2 )
| op(e2,e2) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e1 )
| op(e2,e1) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e0 )
| op(e2,e0) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e4 )
| op(e1,e4) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e3 )
| op(e1,e3) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e2 )
| op(e1,e2) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e1 )
| op(e1,e1) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e0 )
| op(e1,e0) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e4 )
| op(e0,e4) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e3 )
| op(e0,e3) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e2 )
| op(e0,e2) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e1 )
| op(e0,e1) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP20_prd])],[]) ).
fof(f395,plain,
( sP15_prd
<=> ( ( ( e1 != unit
& op(e4,e1) = e2 )
| op(e4,e2) != e1 )
& sP20_prd ) ),
inference(formula_renaming,[status(thm)],[f354,f394]) ).
fof(f396,plain,
( ( ( ( e1 = unit
| op(e4,e1) != e2 )
& op(e4,e2) = e1 )
| ~ sP20_prd
| sP15_prd )
& ( ( ( ( e1 != unit
& op(e4,e1) = e2 )
| op(e4,e2) != e1 )
& sP20_prd )
| ~ sP15_prd ) ),
inference(NNF_transformation,[status(thm)],[f395]) ).
fof(f397,plain,
( sP20_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f396]) ).
fof(f402,definition,
( sP21_prd
<=> ( ( ( e2 != unit
& op(e4,e2) = e0 )
| op(e4,e0) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e4 )
| op(e3,e4) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e3 )
| op(e3,e3) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e2 )
| op(e3,e2) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e1 )
| op(e3,e1) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e0 )
| op(e3,e0) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e4 )
| op(e2,e4) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e3 )
| op(e2,e3) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e2 )
| op(e2,e2) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e1 )
| op(e2,e1) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e0 )
| op(e2,e0) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e4 )
| op(e1,e4) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e3 )
| op(e1,e3) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e2 )
| op(e1,e2) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e1 )
| op(e1,e1) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e0 )
| op(e1,e0) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e4 )
| op(e0,e4) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e3 )
| op(e0,e3) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e2 )
| op(e0,e2) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e1 )
| op(e0,e1) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e0 )
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP21_prd])],[]) ).
fof(f403,plain,
( sP16_prd
<=> ( ( ( e2 != unit
& op(e4,e2) = e1 )
| op(e4,e1) != e2 )
& sP21_prd ) ),
inference(formula_renaming,[status(thm)],[f362,f402]) ).
fof(f404,plain,
( ( ( ( e2 = unit
| op(e4,e2) != e1 )
& op(e4,e1) = e2 )
| ~ sP21_prd
| sP16_prd )
& ( ( ( ( e2 != unit
& op(e4,e2) = e1 )
| op(e4,e1) != e2 )
& sP21_prd )
| ~ sP16_prd ) ),
inference(NNF_transformation,[status(thm)],[f403]) ).
fof(f405,plain,
( sP21_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f404]) ).
fof(f410,definition,
( sP22_prd
<=> ( ( ( e3 != unit
& op(e3,e3) = e4 )
| op(e3,e4) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e3 )
| op(e3,e3) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e2 )
| op(e3,e2) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e1 )
| op(e3,e1) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e0 )
| op(e3,e0) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e4 )
| op(e2,e4) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e3 )
| op(e2,e3) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e2 )
| op(e2,e2) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e1 )
| op(e2,e1) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e0 )
| op(e2,e0) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e4 )
| op(e1,e4) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e3 )
| op(e1,e3) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e2 )
| op(e1,e2) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e1 )
| op(e1,e1) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e0 )
| op(e1,e0) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e4 )
| op(e0,e4) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e3 )
| op(e0,e3) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e2 )
| op(e0,e2) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e1 )
| op(e0,e1) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e0 )
| op(e0,e0) != e3 ) ) ),
introduced(definition,[new_symbols(definition,[sP22_prd])],[]) ).
fof(f411,plain,
( sP17_prd
<=> ( ( ( e3 != unit
& op(e4,e3) = e0 )
| op(e4,e0) != e3 )
& sP22_prd ) ),
inference(formula_renaming,[status(thm)],[f370,f410]) ).
fof(f412,plain,
( ( ( ( e3 = unit
| op(e4,e3) != e0 )
& op(e4,e0) = e3 )
| ~ sP22_prd
| sP17_prd )
& ( ( ( ( e3 != unit
& op(e4,e3) = e0 )
| op(e4,e0) != e3 )
& sP22_prd )
| ~ sP17_prd ) ),
inference(NNF_transformation,[status(thm)],[f411]) ).
fof(f413,plain,
( sP22_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f412]) ).
fof(f418,definition,
( sP23_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,[sP23_prd])],[]) ).
fof(f419,plain,
( sP18_prd
<=> ( ( op(e3,e4) != e3
& op(e4,e4) = e3
& op(e3,e3) = e4 )
| sP23_prd ) ),
inference(formula_renaming,[status(thm)],[f378,f418]) ).
fof(f420,plain,
( ( ( ( op(e3,e4) = e3
| op(e4,e4) != e3
| op(e3,e3) != e4 )
& ~ sP23_prd )
| sP18_prd )
& ( ( op(e3,e4) != e3
& op(e4,e4) = e3
& op(e3,e3) = e4 )
| sP23_prd
| ~ sP18_prd ) ),
inference(NNF_transformation,[status(thm)],[f419]) ).
fof(f422,plain,
( op(e4,e4) = e3
| sP23_prd
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f420]) ).
fof(f426,definition,
( sP24_prd
<=> ( ( ( e0 != unit
& op(e4,e0) = e1 )
| op(e4,e1) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e0 )
| op(e4,e0) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e4 )
| op(e3,e4) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e3 )
| op(e3,e3) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e2 )
| op(e3,e2) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e1 )
| op(e3,e1) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e0 )
| op(e3,e0) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e4 )
| op(e2,e4) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e3 )
| op(e2,e3) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e2 )
| op(e2,e2) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e1 )
| op(e2,e1) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e0 )
| op(e2,e0) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e4 )
| op(e1,e4) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e3 )
| op(e1,e3) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e2 )
| op(e1,e2) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e1 )
| op(e1,e1) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e0 )
| op(e1,e0) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| op(e0,e4) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e3 )
| op(e0,e3) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| op(e0,e2) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| op(e0,e1) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP24_prd])],[]) ).
fof(f427,plain,
( sP19_prd
<=> ( ( ( e0 != unit
& op(e4,e0) = e2 )
| op(e4,e2) != e0 )
& sP24_prd ) ),
inference(formula_renaming,[status(thm)],[f386,f426]) ).
fof(f428,plain,
( ( ( ( e0 = unit
| op(e4,e0) != e2 )
& op(e4,e2) = e0 )
| ~ sP24_prd
| sP19_prd )
& ( ( ( ( e0 != unit
& op(e4,e0) = e2 )
| op(e4,e2) != e0 )
& sP24_prd )
| ~ sP19_prd ) ),
inference(NNF_transformation,[status(thm)],[f427]) ).
fof(f429,plain,
( sP24_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f428]) ).
fof(f434,definition,
( sP25_prd
<=> ( ( ( e1 != unit
& op(e4,e1) = e0 )
| op(e4,e0) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e4 )
| op(e3,e4) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e3 )
| op(e3,e3) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e2 )
| op(e3,e2) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e1 )
| op(e3,e1) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e0 )
| op(e3,e0) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e4 )
| op(e2,e4) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e3 )
| op(e2,e3) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e2 )
| op(e2,e2) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e1 )
| op(e2,e1) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e0 )
| op(e2,e0) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e4 )
| op(e1,e4) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e3 )
| op(e1,e3) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e2 )
| op(e1,e2) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e1 )
| op(e1,e1) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e0 )
| op(e1,e0) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e4 )
| op(e0,e4) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e3 )
| op(e0,e3) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e2 )
| op(e0,e2) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e1 )
| op(e0,e1) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP25_prd])],[]) ).
fof(f435,plain,
( sP20_prd
<=> ( ( ( e1 != unit
& op(e4,e1) = e1 )
| op(e4,e1) != e1 )
& sP25_prd ) ),
inference(formula_renaming,[status(thm)],[f394,f434]) ).
fof(f436,plain,
( ( ( ( e1 = unit
| op(e4,e1) != e1 )
& op(e4,e1) = e1 )
| ~ sP25_prd
| sP20_prd )
& ( ( ( ( e1 != unit
& op(e4,e1) = e1 )
| op(e4,e1) != e1 )
& sP25_prd )
| ~ sP20_prd ) ),
inference(NNF_transformation,[status(thm)],[f435]) ).
fof(f437,plain,
( sP25_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f436]) ).
fof(f442,definition,
( sP26_prd
<=> ( ( ( e2 != unit
& op(e3,e2) = e4 )
| op(e3,e4) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e3 )
| op(e3,e3) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e2 )
| op(e3,e2) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e1 )
| op(e3,e1) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e0 )
| op(e3,e0) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e4 )
| op(e2,e4) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e3 )
| op(e2,e3) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e2 )
| op(e2,e2) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e1 )
| op(e2,e1) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e0 )
| op(e2,e0) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e4 )
| op(e1,e4) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e3 )
| op(e1,e3) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e2 )
| op(e1,e2) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e1 )
| op(e1,e1) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e0 )
| op(e1,e0) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e4 )
| op(e0,e4) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e3 )
| op(e0,e3) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e2 )
| op(e0,e2) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e1 )
| op(e0,e1) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e0 )
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP26_prd])],[]) ).
fof(f443,plain,
( sP21_prd
<=> ( ( ( e2 != unit
& op(e4,e2) = e0 )
| op(e4,e0) != e2 )
& sP26_prd ) ),
inference(formula_renaming,[status(thm)],[f402,f442]) ).
fof(f444,plain,
( ( ( ( e2 = unit
| op(e4,e2) != e0 )
& op(e4,e0) = e2 )
| ~ sP26_prd
| sP21_prd )
& ( ( ( ( e2 != unit
& op(e4,e2) = e0 )
| op(e4,e0) != e2 )
& sP26_prd )
| ~ sP21_prd ) ),
inference(NNF_transformation,[status(thm)],[f443]) ).
fof(f445,plain,
( sP26_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f444]) ).
fof(f450,definition,
( sP27_prd
<=> ( ( ( e3 != unit
& op(e3,e3) = e3 )
| op(e3,e3) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e2 )
| op(e3,e2) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e1 )
| op(e3,e1) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e0 )
| op(e3,e0) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e4 )
| op(e2,e4) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e3 )
| op(e2,e3) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e2 )
| op(e2,e2) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e1 )
| op(e2,e1) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e0 )
| op(e2,e0) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e4 )
| op(e1,e4) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e3 )
| op(e1,e3) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e2 )
| op(e1,e2) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e1 )
| op(e1,e1) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e0 )
| op(e1,e0) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e4 )
| op(e0,e4) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e3 )
| op(e0,e3) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e2 )
| op(e0,e2) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e1 )
| op(e0,e1) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e0 )
| op(e0,e0) != e3 ) ) ),
introduced(definition,[new_symbols(definition,[sP27_prd])],[]) ).
fof(f451,plain,
( sP22_prd
<=> ( ( ( e3 != unit
& op(e3,e3) = e4 )
| op(e3,e4) != e3 )
& sP27_prd ) ),
inference(formula_renaming,[status(thm)],[f410,f450]) ).
fof(f452,plain,
( ( ( ( e3 = unit
| op(e3,e3) != e4 )
& op(e3,e4) = e3 )
| ~ sP27_prd
| sP22_prd )
& ( ( ( ( e3 != unit
& op(e3,e3) = e4 )
| op(e3,e4) != e3 )
& sP27_prd )
| ~ sP22_prd ) ),
inference(NNF_transformation,[status(thm)],[f451]) ).
fof(f453,plain,
( sP27_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f452]) ).
fof(f458,definition,
( sP28_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,[sP28_prd])],[]) ).
fof(f459,plain,
( sP23_prd
<=> ( ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| sP28_prd ) ),
inference(formula_renaming,[status(thm)],[f418,f458]) ).
fof(f460,plain,
( ( ( ( op(e3,e3) = e3
| op(e3,e3) != e3
| op(e3,e3) != e3 )
& ~ sP28_prd )
| sP23_prd )
& ( ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| sP28_prd
| ~ sP23_prd ) ),
inference(NNF_transformation,[status(thm)],[f459]) ).
fof(f461,plain,
( op(e3,e3) = e3
| sP28_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f460]) ).
fof(f466,definition,
( sP29_prd
<=> ( ( ( e0 != unit
& op(e4,e0) = e0 )
| op(e4,e0) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e4 )
| op(e3,e4) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e3 )
| op(e3,e3) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e2 )
| op(e3,e2) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e1 )
| op(e3,e1) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e0 )
| op(e3,e0) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e4 )
| op(e2,e4) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e3 )
| op(e2,e3) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e2 )
| op(e2,e2) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e1 )
| op(e2,e1) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e0 )
| op(e2,e0) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e4 )
| op(e1,e4) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e3 )
| op(e1,e3) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e2 )
| op(e1,e2) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e1 )
| op(e1,e1) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e0 )
| op(e1,e0) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| op(e0,e4) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e3 )
| op(e0,e3) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| op(e0,e2) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| op(e0,e1) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP29_prd])],[]) ).
fof(f467,plain,
( sP24_prd
<=> ( ( ( e0 != unit
& op(e4,e0) = e1 )
| op(e4,e1) != e0 )
& sP29_prd ) ),
inference(formula_renaming,[status(thm)],[f426,f466]) ).
fof(f468,plain,
( ( ( ( e0 = unit
| op(e4,e0) != e1 )
& op(e4,e1) = e0 )
| ~ sP29_prd
| sP24_prd )
& ( ( ( ( e0 != unit
& op(e4,e0) = e1 )
| op(e4,e1) != e0 )
& sP29_prd )
| ~ sP24_prd ) ),
inference(NNF_transformation,[status(thm)],[f467]) ).
fof(f469,plain,
( sP29_prd
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f468]) ).
fof(f474,definition,
( sP30_prd
<=> ( ( ( e1 != unit
& op(e3,e1) = e4 )
| op(e3,e4) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e3 )
| op(e3,e3) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e2 )
| op(e3,e2) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e1 )
| op(e3,e1) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e0 )
| op(e3,e0) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e4 )
| op(e2,e4) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e3 )
| op(e2,e3) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e2 )
| op(e2,e2) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e1 )
| op(e2,e1) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e0 )
| op(e2,e0) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e4 )
| op(e1,e4) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e3 )
| op(e1,e3) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e2 )
| op(e1,e2) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e1 )
| op(e1,e1) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e0 )
| op(e1,e0) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e4 )
| op(e0,e4) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e3 )
| op(e0,e3) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e2 )
| op(e0,e2) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e1 )
| op(e0,e1) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP30_prd])],[]) ).
fof(f475,plain,
( sP25_prd
<=> ( ( ( e1 != unit
& op(e4,e1) = e0 )
| op(e4,e0) != e1 )
& sP30_prd ) ),
inference(formula_renaming,[status(thm)],[f434,f474]) ).
fof(f476,plain,
( ( ( ( e1 = unit
| op(e4,e1) != e0 )
& op(e4,e0) = e1 )
| ~ sP30_prd
| sP25_prd )
& ( ( ( ( e1 != unit
& op(e4,e1) = e0 )
| op(e4,e0) != e1 )
& sP30_prd )
| ~ sP25_prd ) ),
inference(NNF_transformation,[status(thm)],[f475]) ).
fof(f477,plain,
( sP30_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f476]) ).
fof(f482,definition,
( sP31_prd
<=> ( ( ( e2 != unit
& op(e3,e2) = e3 )
| op(e3,e3) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e2 )
| op(e3,e2) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e1 )
| op(e3,e1) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e0 )
| op(e3,e0) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e4 )
| op(e2,e4) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e3 )
| op(e2,e3) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e2 )
| op(e2,e2) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e1 )
| op(e2,e1) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e0 )
| op(e2,e0) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e4 )
| op(e1,e4) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e3 )
| op(e1,e3) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e2 )
| op(e1,e2) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e1 )
| op(e1,e1) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e0 )
| op(e1,e0) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e4 )
| op(e0,e4) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e3 )
| op(e0,e3) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e2 )
| op(e0,e2) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e1 )
| op(e0,e1) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e0 )
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP31_prd])],[]) ).
fof(f483,plain,
( sP26_prd
<=> ( ( ( e2 != unit
& op(e3,e2) = e4 )
| op(e3,e4) != e2 )
& sP31_prd ) ),
inference(formula_renaming,[status(thm)],[f442,f482]) ).
fof(f484,plain,
( ( ( ( e2 = unit
| op(e3,e2) != e4 )
& op(e3,e4) = e2 )
| ~ sP31_prd
| sP26_prd )
& ( ( ( ( e2 != unit
& op(e3,e2) = e4 )
| op(e3,e4) != e2 )
& sP31_prd )
| ~ sP26_prd ) ),
inference(NNF_transformation,[status(thm)],[f483]) ).
fof(f485,plain,
( sP31_prd
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f484]) ).
fof(f490,definition,
( sP32_prd
<=> ( ( ( e3 != unit
& op(e3,e3) = e2 )
| op(e3,e2) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e1 )
| op(e3,e1) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e0 )
| op(e3,e0) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e4 )
| op(e2,e4) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e3 )
| op(e2,e3) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e2 )
| op(e2,e2) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e1 )
| op(e2,e1) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e0 )
| op(e2,e0) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e4 )
| op(e1,e4) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e3 )
| op(e1,e3) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e2 )
| op(e1,e2) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e1 )
| op(e1,e1) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e0 )
| op(e1,e0) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e4 )
| op(e0,e4) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e3 )
| op(e0,e3) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e2 )
| op(e0,e2) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e1 )
| op(e0,e1) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e0 )
| op(e0,e0) != e3 ) ) ),
introduced(definition,[new_symbols(definition,[sP32_prd])],[]) ).
fof(f491,plain,
( sP27_prd
<=> ( ( ( e3 != unit
& op(e3,e3) = e3 )
| op(e3,e3) != e3 )
& sP32_prd ) ),
inference(formula_renaming,[status(thm)],[f450,f490]) ).
fof(f492,plain,
( ( ( ( e3 = unit
| op(e3,e3) != e3 )
& op(e3,e3) = e3 )
| ~ sP32_prd
| sP27_prd )
& ( ( ( ( e3 != unit
& op(e3,e3) = e3 )
| op(e3,e3) != e3 )
& sP32_prd )
| ~ sP27_prd ) ),
inference(NNF_transformation,[status(thm)],[f491]) ).
fof(f493,plain,
( sP32_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f492]) ).
fof(f498,definition,
( sP33_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,[sP33_prd])],[]) ).
fof(f499,plain,
( sP28_prd
<=> ( ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| sP33_prd ) ),
inference(formula_renaming,[status(thm)],[f458,f498]) ).
fof(f500,plain,
( ( ( ( op(e3,e2) = e3
| op(e2,e2) != e3
| op(e3,e3) != e2 )
& ~ sP33_prd )
| sP28_prd )
& ( ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| sP33_prd
| ~ sP28_prd ) ),
inference(NNF_transformation,[status(thm)],[f499]) ).
fof(f501,plain,
( op(e3,e3) = e2
| sP33_prd
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f500]) ).
fof(f506,definition,
( sP34_prd
<=> ( ( ( e0 != unit
& op(e3,e0) = e4 )
| op(e3,e4) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e3 )
| op(e3,e3) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e2 )
| op(e3,e2) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e1 )
| op(e3,e1) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e0 )
| op(e3,e0) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e4 )
| op(e2,e4) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e3 )
| op(e2,e3) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e2 )
| op(e2,e2) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e1 )
| op(e2,e1) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e0 )
| op(e2,e0) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e4 )
| op(e1,e4) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e3 )
| op(e1,e3) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e2 )
| op(e1,e2) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e1 )
| op(e1,e1) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e0 )
| op(e1,e0) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| op(e0,e4) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e3 )
| op(e0,e3) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| op(e0,e2) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| op(e0,e1) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP34_prd])],[]) ).
fof(f507,plain,
( sP29_prd
<=> ( ( ( e0 != unit
& op(e4,e0) = e0 )
| op(e4,e0) != e0 )
& sP34_prd ) ),
inference(formula_renaming,[status(thm)],[f466,f506]) ).
fof(f508,plain,
( ( ( ( e0 = unit
| op(e4,e0) != e0 )
& op(e4,e0) = e0 )
| ~ sP34_prd
| sP29_prd )
& ( ( ( ( e0 != unit
& op(e4,e0) = e0 )
| op(e4,e0) != e0 )
& sP34_prd )
| ~ sP29_prd ) ),
inference(NNF_transformation,[status(thm)],[f507]) ).
fof(f509,plain,
( sP34_prd
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f508]) ).
fof(f514,definition,
( sP35_prd
<=> ( ( ( e1 != unit
& op(e3,e1) = e3 )
| op(e3,e3) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e2 )
| op(e3,e2) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e1 )
| op(e3,e1) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e0 )
| op(e3,e0) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e4 )
| op(e2,e4) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e3 )
| op(e2,e3) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e2 )
| op(e2,e2) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e1 )
| op(e2,e1) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e0 )
| op(e2,e0) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e4 )
| op(e1,e4) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e3 )
| op(e1,e3) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e2 )
| op(e1,e2) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e1 )
| op(e1,e1) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e0 )
| op(e1,e0) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e4 )
| op(e0,e4) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e3 )
| op(e0,e3) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e2 )
| op(e0,e2) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e1 )
| op(e0,e1) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP35_prd])],[]) ).
fof(f515,plain,
( sP30_prd
<=> ( ( ( e1 != unit
& op(e3,e1) = e4 )
| op(e3,e4) != e1 )
& sP35_prd ) ),
inference(formula_renaming,[status(thm)],[f474,f514]) ).
fof(f516,plain,
( ( ( ( e1 = unit
| op(e3,e1) != e4 )
& op(e3,e4) = e1 )
| ~ sP35_prd
| sP30_prd )
& ( ( ( ( e1 != unit
& op(e3,e1) = e4 )
| op(e3,e4) != e1 )
& sP35_prd )
| ~ sP30_prd ) ),
inference(NNF_transformation,[status(thm)],[f515]) ).
fof(f517,plain,
( sP35_prd
| ~ sP30_prd ),
inference(cnf_transformation,[status(thm)],[f516]) ).
fof(f522,definition,
( sP36_prd
<=> ( ( ( e2 != unit
& op(e3,e2) = e2 )
| op(e3,e2) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e1 )
| op(e3,e1) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e0 )
| op(e3,e0) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e4 )
| op(e2,e4) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e3 )
| op(e2,e3) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e2 )
| op(e2,e2) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e1 )
| op(e2,e1) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e0 )
| op(e2,e0) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e4 )
| op(e1,e4) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e3 )
| op(e1,e3) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e2 )
| op(e1,e2) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e1 )
| op(e1,e1) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e0 )
| op(e1,e0) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e4 )
| op(e0,e4) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e3 )
| op(e0,e3) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e2 )
| op(e0,e2) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e1 )
| op(e0,e1) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e0 )
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP36_prd])],[]) ).
fof(f523,plain,
( sP31_prd
<=> ( ( ( e2 != unit
& op(e3,e2) = e3 )
| op(e3,e3) != e2 )
& sP36_prd ) ),
inference(formula_renaming,[status(thm)],[f482,f522]) ).
fof(f524,plain,
( ( ( ( e2 = unit
| op(e3,e2) != e3 )
& op(e3,e3) = e2 )
| ~ sP36_prd
| sP31_prd )
& ( ( ( ( e2 != unit
& op(e3,e2) = e3 )
| op(e3,e3) != e2 )
& sP36_prd )
| ~ sP31_prd ) ),
inference(NNF_transformation,[status(thm)],[f523]) ).
fof(f525,plain,
( sP36_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f524]) ).
fof(f530,definition,
( sP37_prd
<=> ( ( ( e3 != unit
& op(e3,e3) = e1 )
| op(e3,e1) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e0 )
| op(e3,e0) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e4 )
| op(e2,e4) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e3 )
| op(e2,e3) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e2 )
| op(e2,e2) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e1 )
| op(e2,e1) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e0 )
| op(e2,e0) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e4 )
| op(e1,e4) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e3 )
| op(e1,e3) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e2 )
| op(e1,e2) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e1 )
| op(e1,e1) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e0 )
| op(e1,e0) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e4 )
| op(e0,e4) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e3 )
| op(e0,e3) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e2 )
| op(e0,e2) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e1 )
| op(e0,e1) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e0 )
| op(e0,e0) != e3 ) ) ),
introduced(definition,[new_symbols(definition,[sP37_prd])],[]) ).
fof(f531,plain,
( sP32_prd
<=> ( ( ( e3 != unit
& op(e3,e3) = e2 )
| op(e3,e2) != e3 )
& sP37_prd ) ),
inference(formula_renaming,[status(thm)],[f490,f530]) ).
fof(f532,plain,
( ( ( ( e3 = unit
| op(e3,e3) != e2 )
& op(e3,e2) = e3 )
| ~ sP37_prd
| sP32_prd )
& ( ( ( ( e3 != unit
& op(e3,e3) = e2 )
| op(e3,e2) != e3 )
& sP37_prd )
| ~ sP32_prd ) ),
inference(NNF_transformation,[status(thm)],[f531]) ).
fof(f533,plain,
( sP37_prd
| ~ sP32_prd ),
inference(cnf_transformation,[status(thm)],[f532]) ).
fof(f538,definition,
( sP38_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,[sP38_prd])],[]) ).
fof(f539,plain,
( sP33_prd
<=> ( ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| sP38_prd ) ),
inference(formula_renaming,[status(thm)],[f498,f538]) ).
fof(f540,plain,
( ( ( ( op(e3,e1) = e3
| op(e1,e1) != e3
| op(e3,e3) != e1 )
& ~ sP38_prd )
| sP33_prd )
& ( ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| sP38_prd
| ~ sP33_prd ) ),
inference(NNF_transformation,[status(thm)],[f539]) ).
fof(f541,plain,
( op(e3,e3) = e1
| sP38_prd
| ~ sP33_prd ),
inference(cnf_transformation,[status(thm)],[f540]) ).
fof(f546,definition,
( sP39_prd
<=> ( ( ( e0 != unit
& op(e3,e0) = e3 )
| op(e3,e3) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e2 )
| op(e3,e2) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e1 )
| op(e3,e1) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e0 )
| op(e3,e0) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e4 )
| op(e2,e4) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e3 )
| op(e2,e3) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e2 )
| op(e2,e2) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e1 )
| op(e2,e1) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e0 )
| op(e2,e0) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e4 )
| op(e1,e4) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e3 )
| op(e1,e3) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e2 )
| op(e1,e2) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e1 )
| op(e1,e1) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e0 )
| op(e1,e0) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| op(e0,e4) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e3 )
| op(e0,e3) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| op(e0,e2) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| op(e0,e1) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP39_prd])],[]) ).
fof(f547,plain,
( sP34_prd
<=> ( ( ( e0 != unit
& op(e3,e0) = e4 )
| op(e3,e4) != e0 )
& sP39_prd ) ),
inference(formula_renaming,[status(thm)],[f506,f546]) ).
fof(f548,plain,
( ( ( ( e0 = unit
| op(e3,e0) != e4 )
& op(e3,e4) = e0 )
| ~ sP39_prd
| sP34_prd )
& ( ( ( ( e0 != unit
& op(e3,e0) = e4 )
| op(e3,e4) != e0 )
& sP39_prd )
| ~ sP34_prd ) ),
inference(NNF_transformation,[status(thm)],[f547]) ).
fof(f549,plain,
( sP39_prd
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f548]) ).
fof(f554,definition,
( sP40_prd
<=> ( ( ( e1 != unit
& op(e3,e1) = e2 )
| op(e3,e2) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e1 )
| op(e3,e1) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e0 )
| op(e3,e0) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e4 )
| op(e2,e4) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e3 )
| op(e2,e3) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e2 )
| op(e2,e2) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e1 )
| op(e2,e1) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e0 )
| op(e2,e0) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e4 )
| op(e1,e4) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e3 )
| op(e1,e3) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e2 )
| op(e1,e2) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e1 )
| op(e1,e1) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e0 )
| op(e1,e0) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e4 )
| op(e0,e4) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e3 )
| op(e0,e3) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e2 )
| op(e0,e2) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e1 )
| op(e0,e1) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP40_prd])],[]) ).
fof(f555,plain,
( sP35_prd
<=> ( ( ( e1 != unit
& op(e3,e1) = e3 )
| op(e3,e3) != e1 )
& sP40_prd ) ),
inference(formula_renaming,[status(thm)],[f514,f554]) ).
fof(f556,plain,
( ( ( ( e1 = unit
| op(e3,e1) != e3 )
& op(e3,e3) = e1 )
| ~ sP40_prd
| sP35_prd )
& ( ( ( ( e1 != unit
& op(e3,e1) = e3 )
| op(e3,e3) != e1 )
& sP40_prd )
| ~ sP35_prd ) ),
inference(NNF_transformation,[status(thm)],[f555]) ).
fof(f557,plain,
( sP40_prd
| ~ sP35_prd ),
inference(cnf_transformation,[status(thm)],[f556]) ).
fof(f562,definition,
( sP41_prd
<=> ( ( ( e2 != unit
& op(e3,e2) = e1 )
| op(e3,e1) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e0 )
| op(e3,e0) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e4 )
| op(e2,e4) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e3 )
| op(e2,e3) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e2 )
| op(e2,e2) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e1 )
| op(e2,e1) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e0 )
| op(e2,e0) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e4 )
| op(e1,e4) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e3 )
| op(e1,e3) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e2 )
| op(e1,e2) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e1 )
| op(e1,e1) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e0 )
| op(e1,e0) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e4 )
| op(e0,e4) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e3 )
| op(e0,e3) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e2 )
| op(e0,e2) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e1 )
| op(e0,e1) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e0 )
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP41_prd])],[]) ).
fof(f563,plain,
( sP36_prd
<=> ( ( ( e2 != unit
& op(e3,e2) = e2 )
| op(e3,e2) != e2 )
& sP41_prd ) ),
inference(formula_renaming,[status(thm)],[f522,f562]) ).
fof(f564,plain,
( ( ( ( e2 = unit
| op(e3,e2) != e2 )
& op(e3,e2) = e2 )
| ~ sP41_prd
| sP36_prd )
& ( ( ( ( e2 != unit
& op(e3,e2) = e2 )
| op(e3,e2) != e2 )
& sP41_prd )
| ~ sP36_prd ) ),
inference(NNF_transformation,[status(thm)],[f563]) ).
fof(f565,plain,
( sP41_prd
| ~ sP36_prd ),
inference(cnf_transformation,[status(thm)],[f564]) ).
fof(f570,definition,
( sP42_prd
<=> ( ( ( e3 != unit
& op(e3,e3) = e0 )
| op(e3,e0) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e4 )
| op(e2,e4) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e3 )
| op(e2,e3) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e2 )
| op(e2,e2) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e1 )
| op(e2,e1) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e0 )
| op(e2,e0) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e4 )
| op(e1,e4) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e3 )
| op(e1,e3) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e2 )
| op(e1,e2) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e1 )
| op(e1,e1) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e0 )
| op(e1,e0) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e4 )
| op(e0,e4) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e3 )
| op(e0,e3) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e2 )
| op(e0,e2) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e1 )
| op(e0,e1) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e0 )
| op(e0,e0) != e3 ) ) ),
introduced(definition,[new_symbols(definition,[sP42_prd])],[]) ).
fof(f571,plain,
( sP37_prd
<=> ( ( ( e3 != unit
& op(e3,e3) = e1 )
| op(e3,e1) != e3 )
& sP42_prd ) ),
inference(formula_renaming,[status(thm)],[f530,f570]) ).
fof(f572,plain,
( ( ( ( e3 = unit
| op(e3,e3) != e1 )
& op(e3,e1) = e3 )
| ~ sP42_prd
| sP37_prd )
& ( ( ( ( e3 != unit
& op(e3,e3) = e1 )
| op(e3,e1) != e3 )
& sP42_prd )
| ~ sP37_prd ) ),
inference(NNF_transformation,[status(thm)],[f571]) ).
fof(f573,plain,
( sP42_prd
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f572]) ).
fof(f574,plain,
( op(e3,e3) = e1
| op(e3,e1) != e3
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f572]) ).
fof(f578,definition,
( sP43_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,[sP43_prd])],[]) ).
fof(f579,plain,
( sP38_prd
<=> ( ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| sP43_prd ) ),
inference(formula_renaming,[status(thm)],[f538,f578]) ).
fof(f580,plain,
( ( ( ( op(e3,e0) = e3
| op(e0,e0) != e3
| op(e3,e3) != e0 )
& ~ sP43_prd )
| sP38_prd )
& ( ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| sP43_prd
| ~ sP38_prd ) ),
inference(NNF_transformation,[status(thm)],[f579]) ).
fof(f581,plain,
( op(e3,e3) = e0
| sP43_prd
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f580]) ).
fof(f586,definition,
( sP44_prd
<=> ( ( ( e0 != unit
& op(e3,e0) = e2 )
| op(e3,e2) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e1 )
| op(e3,e1) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e0 )
| op(e3,e0) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e4 )
| op(e2,e4) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e3 )
| op(e2,e3) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e2 )
| op(e2,e2) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e1 )
| op(e2,e1) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e0 )
| op(e2,e0) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e4 )
| op(e1,e4) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e3 )
| op(e1,e3) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e2 )
| op(e1,e2) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e1 )
| op(e1,e1) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e0 )
| op(e1,e0) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| op(e0,e4) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e3 )
| op(e0,e3) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| op(e0,e2) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| op(e0,e1) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP44_prd])],[]) ).
fof(f587,plain,
( sP39_prd
<=> ( ( ( e0 != unit
& op(e3,e0) = e3 )
| op(e3,e3) != e0 )
& sP44_prd ) ),
inference(formula_renaming,[status(thm)],[f546,f586]) ).
fof(f588,plain,
( ( ( ( e0 = unit
| op(e3,e0) != e3 )
& op(e3,e3) = e0 )
| ~ sP44_prd
| sP39_prd )
& ( ( ( ( e0 != unit
& op(e3,e0) = e3 )
| op(e3,e3) != e0 )
& sP44_prd )
| ~ sP39_prd ) ),
inference(NNF_transformation,[status(thm)],[f587]) ).
fof(f589,plain,
( sP44_prd
| ~ sP39_prd ),
inference(cnf_transformation,[status(thm)],[f588]) ).
fof(f594,definition,
( sP45_prd
<=> ( ( ( e1 != unit
& op(e3,e1) = e1 )
| op(e3,e1) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e0 )
| op(e3,e0) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e4 )
| op(e2,e4) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e3 )
| op(e2,e3) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e2 )
| op(e2,e2) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e1 )
| op(e2,e1) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e0 )
| op(e2,e0) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e4 )
| op(e1,e4) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e3 )
| op(e1,e3) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e2 )
| op(e1,e2) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e1 )
| op(e1,e1) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e0 )
| op(e1,e0) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e4 )
| op(e0,e4) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e3 )
| op(e0,e3) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e2 )
| op(e0,e2) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e1 )
| op(e0,e1) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP45_prd])],[]) ).
fof(f595,plain,
( sP40_prd
<=> ( ( ( e1 != unit
& op(e3,e1) = e2 )
| op(e3,e2) != e1 )
& sP45_prd ) ),
inference(formula_renaming,[status(thm)],[f554,f594]) ).
fof(f596,plain,
( ( ( ( e1 = unit
| op(e3,e1) != e2 )
& op(e3,e2) = e1 )
| ~ sP45_prd
| sP40_prd )
& ( ( ( ( e1 != unit
& op(e3,e1) = e2 )
| op(e3,e2) != e1 )
& sP45_prd )
| ~ sP40_prd ) ),
inference(NNF_transformation,[status(thm)],[f595]) ).
fof(f597,plain,
( sP45_prd
| ~ sP40_prd ),
inference(cnf_transformation,[status(thm)],[f596]) ).
fof(f598,plain,
( op(e3,e1) = e2
| op(e3,e2) != e1
| ~ sP40_prd ),
inference(cnf_transformation,[status(thm)],[f596]) ).
fof(f602,definition,
( sP46_prd
<=> ( ( ( e2 != unit
& op(e3,e2) = e0 )
| op(e3,e0) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e4 )
| op(e2,e4) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e3 )
| op(e2,e3) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e2 )
| op(e2,e2) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e1 )
| op(e2,e1) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e0 )
| op(e2,e0) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e4 )
| op(e1,e4) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e3 )
| op(e1,e3) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e2 )
| op(e1,e2) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e1 )
| op(e1,e1) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e0 )
| op(e1,e0) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e4 )
| op(e0,e4) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e3 )
| op(e0,e3) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e2 )
| op(e0,e2) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e1 )
| op(e0,e1) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e0 )
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP46_prd])],[]) ).
fof(f603,plain,
( sP41_prd
<=> ( ( ( e2 != unit
& op(e3,e2) = e1 )
| op(e3,e1) != e2 )
& sP46_prd ) ),
inference(formula_renaming,[status(thm)],[f562,f602]) ).
fof(f604,plain,
( ( ( ( e2 = unit
| op(e3,e2) != e1 )
& op(e3,e1) = e2 )
| ~ sP46_prd
| sP41_prd )
& ( ( ( ( e2 != unit
& op(e3,e2) = e1 )
| op(e3,e1) != e2 )
& sP46_prd )
| ~ sP41_prd ) ),
inference(NNF_transformation,[status(thm)],[f603]) ).
fof(f605,plain,
( sP46_prd
| ~ sP41_prd ),
inference(cnf_transformation,[status(thm)],[f604]) ).
fof(f610,definition,
( sP47_prd
<=> ( ( ( e3 != unit
& op(e2,e3) = e4 )
| op(e2,e4) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e3 )
| op(e2,e3) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e2 )
| op(e2,e2) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e1 )
| op(e2,e1) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e0 )
| op(e2,e0) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e4 )
| op(e1,e4) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e3 )
| op(e1,e3) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e2 )
| op(e1,e2) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e1 )
| op(e1,e1) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e0 )
| op(e1,e0) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e4 )
| op(e0,e4) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e3 )
| op(e0,e3) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e2 )
| op(e0,e2) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e1 )
| op(e0,e1) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e0 )
| op(e0,e0) != e3 ) ) ),
introduced(definition,[new_symbols(definition,[sP47_prd])],[]) ).
fof(f611,plain,
( sP42_prd
<=> ( ( ( e3 != unit
& op(e3,e3) = e0 )
| op(e3,e0) != e3 )
& sP47_prd ) ),
inference(formula_renaming,[status(thm)],[f570,f610]) ).
fof(f612,plain,
( ( ( ( e3 = unit
| op(e3,e3) != e0 )
& op(e3,e0) = e3 )
| ~ sP47_prd
| sP42_prd )
& ( ( ( ( e3 != unit
& op(e3,e3) = e0 )
| op(e3,e0) != e3 )
& sP47_prd )
| ~ sP42_prd ) ),
inference(NNF_transformation,[status(thm)],[f611]) ).
fof(f613,plain,
( sP47_prd
| ~ sP42_prd ),
inference(cnf_transformation,[status(thm)],[f612]) ).
fof(f618,definition,
( sP48_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,[sP48_prd])],[]) ).
fof(f619,plain,
( sP43_prd
<=> ( ( op(e2,e4) != e2
& op(e4,e4) = e2
& op(e2,e2) = e4 )
| sP48_prd ) ),
inference(formula_renaming,[status(thm)],[f578,f618]) ).
fof(f620,plain,
( ( ( ( op(e2,e4) = e2
| op(e4,e4) != e2
| op(e2,e2) != e4 )
& ~ sP48_prd )
| sP43_prd )
& ( ( op(e2,e4) != e2
& op(e4,e4) = e2
& op(e2,e2) = e4 )
| sP48_prd
| ~ sP43_prd ) ),
inference(NNF_transformation,[status(thm)],[f619]) ).
fof(f621,plain,
( op(e2,e2) = e4
| sP48_prd
| ~ sP43_prd ),
inference(cnf_transformation,[status(thm)],[f620]) ).
fof(f626,definition,
( sP49_prd
<=> ( ( ( e0 != unit
& op(e3,e0) = e1 )
| op(e3,e1) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e0 )
| op(e3,e0) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e4 )
| op(e2,e4) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e3 )
| op(e2,e3) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e2 )
| op(e2,e2) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e1 )
| op(e2,e1) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e0 )
| op(e2,e0) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e4 )
| op(e1,e4) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e3 )
| op(e1,e3) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e2 )
| op(e1,e2) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e1 )
| op(e1,e1) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e0 )
| op(e1,e0) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| op(e0,e4) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e3 )
| op(e0,e3) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| op(e0,e2) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| op(e0,e1) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP49_prd])],[]) ).
fof(f627,plain,
( sP44_prd
<=> ( ( ( e0 != unit
& op(e3,e0) = e2 )
| op(e3,e2) != e0 )
& sP49_prd ) ),
inference(formula_renaming,[status(thm)],[f586,f626]) ).
fof(f628,plain,
( ( ( ( e0 = unit
| op(e3,e0) != e2 )
& op(e3,e2) = e0 )
| ~ sP49_prd
| sP44_prd )
& ( ( ( ( e0 != unit
& op(e3,e0) = e2 )
| op(e3,e2) != e0 )
& sP49_prd )
| ~ sP44_prd ) ),
inference(NNF_transformation,[status(thm)],[f627]) ).
fof(f629,plain,
( sP49_prd
| ~ sP44_prd ),
inference(cnf_transformation,[status(thm)],[f628]) ).
fof(f634,definition,
( sP50_prd
<=> ( ( ( e1 != unit
& op(e3,e1) = e0 )
| op(e3,e0) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e4 )
| op(e2,e4) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e3 )
| op(e2,e3) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e2 )
| op(e2,e2) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e1 )
| op(e2,e1) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e0 )
| op(e2,e0) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e4 )
| op(e1,e4) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e3 )
| op(e1,e3) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e2 )
| op(e1,e2) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e1 )
| op(e1,e1) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e0 )
| op(e1,e0) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e4 )
| op(e0,e4) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e3 )
| op(e0,e3) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e2 )
| op(e0,e2) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e1 )
| op(e0,e1) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP50_prd])],[]) ).
fof(f635,plain,
( sP45_prd
<=> ( ( ( e1 != unit
& op(e3,e1) = e1 )
| op(e3,e1) != e1 )
& sP50_prd ) ),
inference(formula_renaming,[status(thm)],[f594,f634]) ).
fof(f636,plain,
( ( ( ( e1 = unit
| op(e3,e1) != e1 )
& op(e3,e1) = e1 )
| ~ sP50_prd
| sP45_prd )
& ( ( ( ( e1 != unit
& op(e3,e1) = e1 )
| op(e3,e1) != e1 )
& sP50_prd )
| ~ sP45_prd ) ),
inference(NNF_transformation,[status(thm)],[f635]) ).
fof(f637,plain,
( sP50_prd
| ~ sP45_prd ),
inference(cnf_transformation,[status(thm)],[f636]) ).
fof(f642,definition,
( sP51_prd
<=> ( ( ( e2 != unit
& op(e2,e2) = e4 )
| op(e2,e4) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e3 )
| op(e2,e3) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e2 )
| op(e2,e2) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e1 )
| op(e2,e1) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e0 )
| op(e2,e0) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e4 )
| op(e1,e4) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e3 )
| op(e1,e3) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e2 )
| op(e1,e2) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e1 )
| op(e1,e1) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e0 )
| op(e1,e0) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e4 )
| op(e0,e4) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e3 )
| op(e0,e3) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e2 )
| op(e0,e2) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e1 )
| op(e0,e1) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e0 )
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP51_prd])],[]) ).
fof(f643,plain,
( sP46_prd
<=> ( ( ( e2 != unit
& op(e3,e2) = e0 )
| op(e3,e0) != e2 )
& sP51_prd ) ),
inference(formula_renaming,[status(thm)],[f602,f642]) ).
fof(f644,plain,
( ( ( ( e2 = unit
| op(e3,e2) != e0 )
& op(e3,e0) = e2 )
| ~ sP51_prd
| sP46_prd )
& ( ( ( ( e2 != unit
& op(e3,e2) = e0 )
| op(e3,e0) != e2 )
& sP51_prd )
| ~ sP46_prd ) ),
inference(NNF_transformation,[status(thm)],[f643]) ).
fof(f645,plain,
( sP51_prd
| ~ sP46_prd ),
inference(cnf_transformation,[status(thm)],[f644]) ).
fof(f646,plain,
( op(e3,e2) = e0
| op(e3,e0) != e2
| ~ sP46_prd ),
inference(cnf_transformation,[status(thm)],[f644]) ).
fof(f650,definition,
( sP52_prd
<=> ( ( ( e3 != unit
& op(e2,e3) = e3 )
| op(e2,e3) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e2 )
| op(e2,e2) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e1 )
| op(e2,e1) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e0 )
| op(e2,e0) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e4 )
| op(e1,e4) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e3 )
| op(e1,e3) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e2 )
| op(e1,e2) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e1 )
| op(e1,e1) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e0 )
| op(e1,e0) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e4 )
| op(e0,e4) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e3 )
| op(e0,e3) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e2 )
| op(e0,e2) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e1 )
| op(e0,e1) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e0 )
| op(e0,e0) != e3 ) ) ),
introduced(definition,[new_symbols(definition,[sP52_prd])],[]) ).
fof(f651,plain,
( sP47_prd
<=> ( ( ( e3 != unit
& op(e2,e3) = e4 )
| op(e2,e4) != e3 )
& sP52_prd ) ),
inference(formula_renaming,[status(thm)],[f610,f650]) ).
fof(f652,plain,
( ( ( ( e3 = unit
| op(e2,e3) != e4 )
& op(e2,e4) = e3 )
| ~ sP52_prd
| sP47_prd )
& ( ( ( ( e3 != unit
& op(e2,e3) = e4 )
| op(e2,e4) != e3 )
& sP52_prd )
| ~ sP47_prd ) ),
inference(NNF_transformation,[status(thm)],[f651]) ).
fof(f653,plain,
( sP52_prd
| ~ sP47_prd ),
inference(cnf_transformation,[status(thm)],[f652]) ).
fof(f658,definition,
( sP53_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,[sP53_prd])],[]) ).
fof(f659,plain,
( sP48_prd
<=> ( ( op(e2,e3) != e2
& op(e3,e3) = e2
& op(e2,e2) = e3 )
| sP53_prd ) ),
inference(formula_renaming,[status(thm)],[f618,f658]) ).
fof(f660,plain,
( ( ( ( op(e2,e3) = e2
| op(e3,e3) != e2
| op(e2,e2) != e3 )
& ~ sP53_prd )
| sP48_prd )
& ( ( op(e2,e3) != e2
& op(e3,e3) = e2
& op(e2,e2) = e3 )
| sP53_prd
| ~ sP48_prd ) ),
inference(NNF_transformation,[status(thm)],[f659]) ).
fof(f662,plain,
( op(e3,e3) = e2
| sP53_prd
| ~ sP48_prd ),
inference(cnf_transformation,[status(thm)],[f660]) ).
fof(f666,definition,
( sP54_prd
<=> ( ( ( e0 != unit
& op(e3,e0) = e0 )
| op(e3,e0) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e4 )
| op(e2,e4) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e3 )
| op(e2,e3) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e2 )
| op(e2,e2) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e1 )
| op(e2,e1) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e0 )
| op(e2,e0) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e4 )
| op(e1,e4) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e3 )
| op(e1,e3) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e2 )
| op(e1,e2) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e1 )
| op(e1,e1) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e0 )
| op(e1,e0) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| op(e0,e4) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e3 )
| op(e0,e3) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| op(e0,e2) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| op(e0,e1) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP54_prd])],[]) ).
fof(f667,plain,
( sP49_prd
<=> ( ( ( e0 != unit
& op(e3,e0) = e1 )
| op(e3,e1) != e0 )
& sP54_prd ) ),
inference(formula_renaming,[status(thm)],[f626,f666]) ).
fof(f668,plain,
( ( ( ( e0 = unit
| op(e3,e0) != e1 )
& op(e3,e1) = e0 )
| ~ sP54_prd
| sP49_prd )
& ( ( ( ( e0 != unit
& op(e3,e0) = e1 )
| op(e3,e1) != e0 )
& sP54_prd )
| ~ sP49_prd ) ),
inference(NNF_transformation,[status(thm)],[f667]) ).
fof(f669,plain,
( sP54_prd
| ~ sP49_prd ),
inference(cnf_transformation,[status(thm)],[f668]) ).
fof(f674,definition,
( sP55_prd
<=> ( ( ( e1 != unit
& op(e2,e1) = e4 )
| op(e2,e4) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e3 )
| op(e2,e3) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e2 )
| op(e2,e2) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e1 )
| op(e2,e1) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e0 )
| op(e2,e0) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e4 )
| op(e1,e4) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e3 )
| op(e1,e3) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e2 )
| op(e1,e2) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e1 )
| op(e1,e1) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e0 )
| op(e1,e0) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e4 )
| op(e0,e4) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e3 )
| op(e0,e3) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e2 )
| op(e0,e2) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e1 )
| op(e0,e1) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP55_prd])],[]) ).
fof(f675,plain,
( sP50_prd
<=> ( ( ( e1 != unit
& op(e3,e1) = e0 )
| op(e3,e0) != e1 )
& sP55_prd ) ),
inference(formula_renaming,[status(thm)],[f634,f674]) ).
fof(f676,plain,
( ( ( ( e1 = unit
| op(e3,e1) != e0 )
& op(e3,e0) = e1 )
| ~ sP55_prd
| sP50_prd )
& ( ( ( ( e1 != unit
& op(e3,e1) = e0 )
| op(e3,e0) != e1 )
& sP55_prd )
| ~ sP50_prd ) ),
inference(NNF_transformation,[status(thm)],[f675]) ).
fof(f677,plain,
( sP55_prd
| ~ sP50_prd ),
inference(cnf_transformation,[status(thm)],[f676]) ).
fof(f682,definition,
( sP56_prd
<=> ( ( ( e2 != unit
& op(e2,e2) = e3 )
| op(e2,e3) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e2 )
| op(e2,e2) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e1 )
| op(e2,e1) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e0 )
| op(e2,e0) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e4 )
| op(e1,e4) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e3 )
| op(e1,e3) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e2 )
| op(e1,e2) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e1 )
| op(e1,e1) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e0 )
| op(e1,e0) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e4 )
| op(e0,e4) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e3 )
| op(e0,e3) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e2 )
| op(e0,e2) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e1 )
| op(e0,e1) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e0 )
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP56_prd])],[]) ).
fof(f683,plain,
( sP51_prd
<=> ( ( ( e2 != unit
& op(e2,e2) = e4 )
| op(e2,e4) != e2 )
& sP56_prd ) ),
inference(formula_renaming,[status(thm)],[f642,f682]) ).
fof(f684,plain,
( ( ( ( e2 = unit
| op(e2,e2) != e4 )
& op(e2,e4) = e2 )
| ~ sP56_prd
| sP51_prd )
& ( ( ( ( e2 != unit
& op(e2,e2) = e4 )
| op(e2,e4) != e2 )
& sP56_prd )
| ~ sP51_prd ) ),
inference(NNF_transformation,[status(thm)],[f683]) ).
fof(f685,plain,
( sP56_prd
| ~ sP51_prd ),
inference(cnf_transformation,[status(thm)],[f684]) ).
fof(f686,plain,
( op(e2,e2) = e4
| op(e2,e4) != e2
| ~ sP51_prd ),
inference(cnf_transformation,[status(thm)],[f684]) ).
fof(f690,definition,
( sP57_prd
<=> ( ( ( e3 != unit
& op(e2,e3) = e2 )
| op(e2,e2) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e1 )
| op(e2,e1) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e0 )
| op(e2,e0) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e4 )
| op(e1,e4) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e3 )
| op(e1,e3) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e2 )
| op(e1,e2) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e1 )
| op(e1,e1) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e0 )
| op(e1,e0) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e4 )
| op(e0,e4) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e3 )
| op(e0,e3) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e2 )
| op(e0,e2) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e1 )
| op(e0,e1) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e0 )
| op(e0,e0) != e3 ) ) ),
introduced(definition,[new_symbols(definition,[sP57_prd])],[]) ).
fof(f691,plain,
( sP52_prd
<=> ( ( ( e3 != unit
& op(e2,e3) = e3 )
| op(e2,e3) != e3 )
& sP57_prd ) ),
inference(formula_renaming,[status(thm)],[f650,f690]) ).
fof(f692,plain,
( ( ( ( e3 = unit
| op(e2,e3) != e3 )
& op(e2,e3) = e3 )
| ~ sP57_prd
| sP52_prd )
& ( ( ( ( e3 != unit
& op(e2,e3) = e3 )
| op(e2,e3) != e3 )
& sP57_prd )
| ~ sP52_prd ) ),
inference(NNF_transformation,[status(thm)],[f691]) ).
fof(f693,plain,
( sP57_prd
| ~ sP52_prd ),
inference(cnf_transformation,[status(thm)],[f692]) ).
fof(f698,definition,
( sP58_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,[sP58_prd])],[]) ).
fof(f699,plain,
( sP53_prd
<=> ( ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| sP58_prd ) ),
inference(formula_renaming,[status(thm)],[f658,f698]) ).
fof(f700,plain,
( ( ( ( op(e2,e2) = e2
| op(e2,e2) != e2
| op(e2,e2) != e2 )
& ~ sP58_prd )
| sP53_prd )
& ( ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| sP58_prd
| ~ sP53_prd ) ),
inference(NNF_transformation,[status(thm)],[f699]) ).
fof(f701,plain,
( op(e2,e2) = e2
| sP58_prd
| ~ sP53_prd ),
inference(cnf_transformation,[status(thm)],[f700]) ).
fof(f706,definition,
( sP59_prd
<=> ( ( ( e0 != unit
& op(e2,e0) = e4 )
| op(e2,e4) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e3 )
| op(e2,e3) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e2 )
| op(e2,e2) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e1 )
| op(e2,e1) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e0 )
| op(e2,e0) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e4 )
| op(e1,e4) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e3 )
| op(e1,e3) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e2 )
| op(e1,e2) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e1 )
| op(e1,e1) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e0 )
| op(e1,e0) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| op(e0,e4) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e3 )
| op(e0,e3) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| op(e0,e2) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| op(e0,e1) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP59_prd])],[]) ).
fof(f707,plain,
( sP54_prd
<=> ( ( ( e0 != unit
& op(e3,e0) = e0 )
| op(e3,e0) != e0 )
& sP59_prd ) ),
inference(formula_renaming,[status(thm)],[f666,f706]) ).
fof(f708,plain,
( ( ( ( e0 = unit
| op(e3,e0) != e0 )
& op(e3,e0) = e0 )
| ~ sP59_prd
| sP54_prd )
& ( ( ( ( e0 != unit
& op(e3,e0) = e0 )
| op(e3,e0) != e0 )
& sP59_prd )
| ~ sP54_prd ) ),
inference(NNF_transformation,[status(thm)],[f707]) ).
fof(f709,plain,
( sP59_prd
| ~ sP54_prd ),
inference(cnf_transformation,[status(thm)],[f708]) ).
fof(f714,definition,
( sP60_prd
<=> ( ( ( e1 != unit
& op(e2,e1) = e3 )
| op(e2,e3) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e2 )
| op(e2,e2) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e1 )
| op(e2,e1) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e0 )
| op(e2,e0) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e4 )
| op(e1,e4) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e3 )
| op(e1,e3) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e2 )
| op(e1,e2) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e1 )
| op(e1,e1) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e0 )
| op(e1,e0) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e4 )
| op(e0,e4) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e3 )
| op(e0,e3) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e2 )
| op(e0,e2) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e1 )
| op(e0,e1) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP60_prd])],[]) ).
fof(f715,plain,
( sP55_prd
<=> ( ( ( e1 != unit
& op(e2,e1) = e4 )
| op(e2,e4) != e1 )
& sP60_prd ) ),
inference(formula_renaming,[status(thm)],[f674,f714]) ).
fof(f716,plain,
( ( ( ( e1 = unit
| op(e2,e1) != e4 )
& op(e2,e4) = e1 )
| ~ sP60_prd
| sP55_prd )
& ( ( ( ( e1 != unit
& op(e2,e1) = e4 )
| op(e2,e4) != e1 )
& sP60_prd )
| ~ sP55_prd ) ),
inference(NNF_transformation,[status(thm)],[f715]) ).
fof(f717,plain,
( sP60_prd
| ~ sP55_prd ),
inference(cnf_transformation,[status(thm)],[f716]) ).
fof(f722,definition,
( sP61_prd
<=> ( ( ( e2 != unit
& op(e2,e2) = e2 )
| op(e2,e2) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e1 )
| op(e2,e1) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e0 )
| op(e2,e0) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e4 )
| op(e1,e4) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e3 )
| op(e1,e3) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e2 )
| op(e1,e2) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e1 )
| op(e1,e1) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e0 )
| op(e1,e0) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e4 )
| op(e0,e4) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e3 )
| op(e0,e3) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e2 )
| op(e0,e2) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e1 )
| op(e0,e1) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e0 )
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP61_prd])],[]) ).
fof(f723,plain,
( sP56_prd
<=> ( ( ( e2 != unit
& op(e2,e2) = e3 )
| op(e2,e3) != e2 )
& sP61_prd ) ),
inference(formula_renaming,[status(thm)],[f682,f722]) ).
fof(f724,plain,
( ( ( ( e2 = unit
| op(e2,e2) != e3 )
& op(e2,e3) = e2 )
| ~ sP61_prd
| sP56_prd )
& ( ( ( ( e2 != unit
& op(e2,e2) = e3 )
| op(e2,e3) != e2 )
& sP61_prd )
| ~ sP56_prd ) ),
inference(NNF_transformation,[status(thm)],[f723]) ).
fof(f725,plain,
( sP61_prd
| ~ sP56_prd ),
inference(cnf_transformation,[status(thm)],[f724]) ).
fof(f730,definition,
( sP62_prd
<=> ( ( ( e3 != unit
& op(e2,e3) = e1 )
| op(e2,e1) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e0 )
| op(e2,e0) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e4 )
| op(e1,e4) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e3 )
| op(e1,e3) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e2 )
| op(e1,e2) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e1 )
| op(e1,e1) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e0 )
| op(e1,e0) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e4 )
| op(e0,e4) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e3 )
| op(e0,e3) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e2 )
| op(e0,e2) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e1 )
| op(e0,e1) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e0 )
| op(e0,e0) != e3 ) ) ),
introduced(definition,[new_symbols(definition,[sP62_prd])],[]) ).
fof(f731,plain,
( sP57_prd
<=> ( ( ( e3 != unit
& op(e2,e3) = e2 )
| op(e2,e2) != e3 )
& sP62_prd ) ),
inference(formula_renaming,[status(thm)],[f690,f730]) ).
fof(f732,plain,
( ( ( ( e3 = unit
| op(e2,e3) != e2 )
& op(e2,e2) = e3 )
| ~ sP62_prd
| sP57_prd )
& ( ( ( ( e3 != unit
& op(e2,e3) = e2 )
| op(e2,e2) != e3 )
& sP62_prd )
| ~ sP57_prd ) ),
inference(NNF_transformation,[status(thm)],[f731]) ).
fof(f734,plain,
( op(e2,e3) = e2
| op(e2,e2) != e3
| ~ sP57_prd ),
inference(cnf_transformation,[status(thm)],[f732]) ).
fof(f738,definition,
( sP63_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,[sP63_prd])],[]) ).
fof(f739,plain,
( sP58_prd
<=> ( ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| sP63_prd ) ),
inference(formula_renaming,[status(thm)],[f698,f738]) ).
fof(f740,plain,
( ( ( ( op(e2,e1) = e2
| op(e1,e1) != e2
| op(e2,e2) != e1 )
& ~ sP63_prd )
| sP58_prd )
& ( ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| sP63_prd
| ~ sP58_prd ) ),
inference(NNF_transformation,[status(thm)],[f739]) ).
fof(f741,plain,
( op(e2,e2) = e1
| sP63_prd
| ~ sP58_prd ),
inference(cnf_transformation,[status(thm)],[f740]) ).
fof(f746,definition,
( sP64_prd
<=> ( ( ( e0 != unit
& op(e2,e0) = e3 )
| op(e2,e3) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e2 )
| op(e2,e2) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e1 )
| op(e2,e1) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e0 )
| op(e2,e0) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e4 )
| op(e1,e4) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e3 )
| op(e1,e3) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e2 )
| op(e1,e2) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e1 )
| op(e1,e1) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e0 )
| op(e1,e0) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| op(e0,e4) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e3 )
| op(e0,e3) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| op(e0,e2) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| op(e0,e1) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP64_prd])],[]) ).
fof(f747,plain,
( sP59_prd
<=> ( ( ( e0 != unit
& op(e2,e0) = e4 )
| op(e2,e4) != e0 )
& sP64_prd ) ),
inference(formula_renaming,[status(thm)],[f706,f746]) ).
fof(f748,plain,
( ( ( ( e0 = unit
| op(e2,e0) != e4 )
& op(e2,e4) = e0 )
| ~ sP64_prd
| sP59_prd )
& ( ( ( ( e0 != unit
& op(e2,e0) = e4 )
| op(e2,e4) != e0 )
& sP64_prd )
| ~ sP59_prd ) ),
inference(NNF_transformation,[status(thm)],[f747]) ).
fof(f749,plain,
( sP64_prd
| ~ sP59_prd ),
inference(cnf_transformation,[status(thm)],[f748]) ).
fof(f754,definition,
( sP65_prd
<=> ( ( ( e1 != unit
& op(e2,e1) = e2 )
| op(e2,e2) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e1 )
| op(e2,e1) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e0 )
| op(e2,e0) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e4 )
| op(e1,e4) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e3 )
| op(e1,e3) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e2 )
| op(e1,e2) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e1 )
| op(e1,e1) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e0 )
| op(e1,e0) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e4 )
| op(e0,e4) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e3 )
| op(e0,e3) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e2 )
| op(e0,e2) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e1 )
| op(e0,e1) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP65_prd])],[]) ).
fof(f755,plain,
( sP60_prd
<=> ( ( ( e1 != unit
& op(e2,e1) = e3 )
| op(e2,e3) != e1 )
& sP65_prd ) ),
inference(formula_renaming,[status(thm)],[f714,f754]) ).
fof(f756,plain,
( ( ( ( e1 = unit
| op(e2,e1) != e3 )
& op(e2,e3) = e1 )
| ~ sP65_prd
| sP60_prd )
& ( ( ( ( e1 != unit
& op(e2,e1) = e3 )
| op(e2,e3) != e1 )
& sP65_prd )
| ~ sP60_prd ) ),
inference(NNF_transformation,[status(thm)],[f755]) ).
fof(f757,plain,
( sP65_prd
| ~ sP60_prd ),
inference(cnf_transformation,[status(thm)],[f756]) ).
fof(f762,definition,
( sP66_prd
<=> ( ( ( e2 != unit
& op(e2,e2) = e1 )
| op(e2,e1) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e0 )
| op(e2,e0) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e4 )
| op(e1,e4) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e3 )
| op(e1,e3) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e2 )
| op(e1,e2) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e1 )
| op(e1,e1) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e0 )
| op(e1,e0) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e4 )
| op(e0,e4) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e3 )
| op(e0,e3) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e2 )
| op(e0,e2) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e1 )
| op(e0,e1) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e0 )
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP66_prd])],[]) ).
fof(f763,plain,
( sP61_prd
<=> ( ( ( e2 != unit
& op(e2,e2) = e2 )
| op(e2,e2) != e2 )
& sP66_prd ) ),
inference(formula_renaming,[status(thm)],[f722,f762]) ).
fof(f764,plain,
( ( ( ( e2 = unit
| op(e2,e2) != e2 )
& op(e2,e2) = e2 )
| ~ sP66_prd
| sP61_prd )
& ( ( ( ( e2 != unit
& op(e2,e2) = e2 )
| op(e2,e2) != e2 )
& sP66_prd )
| ~ sP61_prd ) ),
inference(NNF_transformation,[status(thm)],[f763]) ).
fof(f765,plain,
( sP66_prd
| ~ sP61_prd ),
inference(cnf_transformation,[status(thm)],[f764]) ).
fof(f778,definition,
( sP68_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,[sP68_prd])],[]) ).
fof(f779,plain,
( sP63_prd
<=> ( ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| sP68_prd ) ),
inference(formula_renaming,[status(thm)],[f738,f778]) ).
fof(f780,plain,
( ( ( ( op(e2,e0) = e2
| op(e0,e0) != e2
| op(e2,e2) != e0 )
& ~ sP68_prd )
| sP63_prd )
& ( ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| sP68_prd
| ~ sP63_prd ) ),
inference(NNF_transformation,[status(thm)],[f779]) ).
fof(f781,plain,
( op(e2,e2) = e0
| sP68_prd
| ~ sP63_prd ),
inference(cnf_transformation,[status(thm)],[f780]) ).
fof(f786,definition,
( sP69_prd
<=> ( ( ( e0 != unit
& op(e2,e0) = e2 )
| op(e2,e2) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e1 )
| op(e2,e1) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e0 )
| op(e2,e0) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e4 )
| op(e1,e4) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e3 )
| op(e1,e3) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e2 )
| op(e1,e2) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e1 )
| op(e1,e1) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e0 )
| op(e1,e0) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| op(e0,e4) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e3 )
| op(e0,e3) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| op(e0,e2) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| op(e0,e1) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP69_prd])],[]) ).
fof(f787,plain,
( sP64_prd
<=> ( ( ( e0 != unit
& op(e2,e0) = e3 )
| op(e2,e3) != e0 )
& sP69_prd ) ),
inference(formula_renaming,[status(thm)],[f746,f786]) ).
fof(f788,plain,
( ( ( ( e0 = unit
| op(e2,e0) != e3 )
& op(e2,e3) = e0 )
| ~ sP69_prd
| sP64_prd )
& ( ( ( ( e0 != unit
& op(e2,e0) = e3 )
| op(e2,e3) != e0 )
& sP69_prd )
| ~ sP64_prd ) ),
inference(NNF_transformation,[status(thm)],[f787]) ).
fof(f789,plain,
( sP69_prd
| ~ sP64_prd ),
inference(cnf_transformation,[status(thm)],[f788]) ).
fof(f794,definition,
( sP70_prd
<=> ( ( ( e1 != unit
& op(e2,e1) = e1 )
| op(e2,e1) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e0 )
| op(e2,e0) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e4 )
| op(e1,e4) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e3 )
| op(e1,e3) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e2 )
| op(e1,e2) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e1 )
| op(e1,e1) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e0 )
| op(e1,e0) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e4 )
| op(e0,e4) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e3 )
| op(e0,e3) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e2 )
| op(e0,e2) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e1 )
| op(e0,e1) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP70_prd])],[]) ).
fof(f795,plain,
( sP65_prd
<=> ( ( ( e1 != unit
& op(e2,e1) = e2 )
| op(e2,e2) != e1 )
& sP70_prd ) ),
inference(formula_renaming,[status(thm)],[f754,f794]) ).
fof(f796,plain,
( ( ( ( e1 = unit
| op(e2,e1) != e2 )
& op(e2,e2) = e1 )
| ~ sP70_prd
| sP65_prd )
& ( ( ( ( e1 != unit
& op(e2,e1) = e2 )
| op(e2,e2) != e1 )
& sP70_prd )
| ~ sP65_prd ) ),
inference(NNF_transformation,[status(thm)],[f795]) ).
fof(f797,plain,
( sP70_prd
| ~ sP65_prd ),
inference(cnf_transformation,[status(thm)],[f796]) ).
fof(f802,definition,
( sP71_prd
<=> ( ( ( e2 != unit
& op(e2,e2) = e0 )
| op(e2,e0) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e4 )
| op(e1,e4) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e3 )
| op(e1,e3) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e2 )
| op(e1,e2) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e1 )
| op(e1,e1) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e0 )
| op(e1,e0) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e4 )
| op(e0,e4) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e3 )
| op(e0,e3) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e2 )
| op(e0,e2) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e1 )
| op(e0,e1) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e0 )
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP71_prd])],[]) ).
fof(f803,plain,
( sP66_prd
<=> ( ( ( e2 != unit
& op(e2,e2) = e1 )
| op(e2,e1) != e2 )
& sP71_prd ) ),
inference(formula_renaming,[status(thm)],[f762,f802]) ).
fof(f804,plain,
( ( ( ( e2 = unit
| op(e2,e2) != e1 )
& op(e2,e1) = e2 )
| ~ sP71_prd
| sP66_prd )
& ( ( ( ( e2 != unit
& op(e2,e2) = e1 )
| op(e2,e1) != e2 )
& sP71_prd )
| ~ sP66_prd ) ),
inference(NNF_transformation,[status(thm)],[f803]) ).
fof(f805,plain,
( sP71_prd
| ~ sP66_prd ),
inference(cnf_transformation,[status(thm)],[f804]) ).
fof(f818,definition,
( sP73_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,[sP73_prd])],[]) ).
fof(f819,plain,
( sP68_prd
<=> ( ( op(e1,e4) != e1
& op(e4,e4) = e1
& op(e1,e1) = e4 )
| sP73_prd ) ),
inference(formula_renaming,[status(thm)],[f778,f818]) ).
fof(f820,plain,
( ( ( ( op(e1,e4) = e1
| op(e4,e4) != e1
| op(e1,e1) != e4 )
& ~ sP73_prd )
| sP68_prd )
& ( ( op(e1,e4) != e1
& op(e4,e4) = e1
& op(e1,e1) = e4 )
| sP73_prd
| ~ sP68_prd ) ),
inference(NNF_transformation,[status(thm)],[f819]) ).
fof(f821,plain,
( op(e1,e1) = e4
| sP73_prd
| ~ sP68_prd ),
inference(cnf_transformation,[status(thm)],[f820]) ).
fof(f826,definition,
( sP74_prd
<=> ( ( ( e0 != unit
& op(e2,e0) = e1 )
| op(e2,e1) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e0 )
| op(e2,e0) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e4 )
| op(e1,e4) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e3 )
| op(e1,e3) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e2 )
| op(e1,e2) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e1 )
| op(e1,e1) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e0 )
| op(e1,e0) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| op(e0,e4) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e3 )
| op(e0,e3) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| op(e0,e2) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| op(e0,e1) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP74_prd])],[]) ).
fof(f827,plain,
( sP69_prd
<=> ( ( ( e0 != unit
& op(e2,e0) = e2 )
| op(e2,e2) != e0 )
& sP74_prd ) ),
inference(formula_renaming,[status(thm)],[f786,f826]) ).
fof(f828,plain,
( ( ( ( e0 = unit
| op(e2,e0) != e2 )
& op(e2,e2) = e0 )
| ~ sP74_prd
| sP69_prd )
& ( ( ( ( e0 != unit
& op(e2,e0) = e2 )
| op(e2,e2) != e0 )
& sP74_prd )
| ~ sP69_prd ) ),
inference(NNF_transformation,[status(thm)],[f827]) ).
fof(f829,plain,
( sP74_prd
| ~ sP69_prd ),
inference(cnf_transformation,[status(thm)],[f828]) ).
fof(f834,definition,
( sP75_prd
<=> ( ( ( e1 != unit
& op(e2,e1) = e0 )
| op(e2,e0) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e4 )
| op(e1,e4) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e3 )
| op(e1,e3) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e2 )
| op(e1,e2) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e1 )
| op(e1,e1) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e0 )
| op(e1,e0) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e4 )
| op(e0,e4) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e3 )
| op(e0,e3) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e2 )
| op(e0,e2) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e1 )
| op(e0,e1) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP75_prd])],[]) ).
fof(f835,plain,
( sP70_prd
<=> ( ( ( e1 != unit
& op(e2,e1) = e1 )
| op(e2,e1) != e1 )
& sP75_prd ) ),
inference(formula_renaming,[status(thm)],[f794,f834]) ).
fof(f836,plain,
( ( ( ( e1 = unit
| op(e2,e1) != e1 )
& op(e2,e1) = e1 )
| ~ sP75_prd
| sP70_prd )
& ( ( ( ( e1 != unit
& op(e2,e1) = e1 )
| op(e2,e1) != e1 )
& sP75_prd )
| ~ sP70_prd ) ),
inference(NNF_transformation,[status(thm)],[f835]) ).
fof(f837,plain,
( sP75_prd
| ~ sP70_prd ),
inference(cnf_transformation,[status(thm)],[f836]) ).
fof(f842,definition,
( sP76_prd
<=> ( ( ( e2 != unit
& op(e1,e2) = e4 )
| op(e1,e4) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e3 )
| op(e1,e3) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e2 )
| op(e1,e2) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e1 )
| op(e1,e1) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e0 )
| op(e1,e0) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e4 )
| op(e0,e4) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e3 )
| op(e0,e3) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e2 )
| op(e0,e2) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e1 )
| op(e0,e1) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e0 )
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP76_prd])],[]) ).
fof(f843,plain,
( sP71_prd
<=> ( ( ( e2 != unit
& op(e2,e2) = e0 )
| op(e2,e0) != e2 )
& sP76_prd ) ),
inference(formula_renaming,[status(thm)],[f802,f842]) ).
fof(f844,plain,
( ( ( ( e2 = unit
| op(e2,e2) != e0 )
& op(e2,e0) = e2 )
| ~ sP76_prd
| sP71_prd )
& ( ( ( ( e2 != unit
& op(e2,e2) = e0 )
| op(e2,e0) != e2 )
& sP76_prd )
| ~ sP71_prd ) ),
inference(NNF_transformation,[status(thm)],[f843]) ).
fof(f845,plain,
( sP76_prd
| ~ sP71_prd ),
inference(cnf_transformation,[status(thm)],[f844]) ).
fof(f858,definition,
( sP78_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,[sP78_prd])],[]) ).
fof(f859,plain,
( sP73_prd
<=> ( ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 )
| sP78_prd ) ),
inference(formula_renaming,[status(thm)],[f818,f858]) ).
fof(f860,plain,
( ( ( ( op(e1,e3) = e1
| op(e3,e3) != e1
| op(e1,e1) != e3 )
& ~ sP78_prd )
| sP73_prd )
& ( ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 )
| sP78_prd
| ~ sP73_prd ) ),
inference(NNF_transformation,[status(thm)],[f859]) ).
fof(f861,plain,
( op(e1,e1) = e3
| sP78_prd
| ~ sP73_prd ),
inference(cnf_transformation,[status(thm)],[f860]) ).
fof(f866,definition,
( sP79_prd
<=> ( ( ( e0 != unit
& op(e2,e0) = e0 )
| op(e2,e0) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e4 )
| op(e1,e4) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e3 )
| op(e1,e3) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e2 )
| op(e1,e2) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e1 )
| op(e1,e1) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e0 )
| op(e1,e0) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| op(e0,e4) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e3 )
| op(e0,e3) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| op(e0,e2) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| op(e0,e1) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP79_prd])],[]) ).
fof(f867,plain,
( sP74_prd
<=> ( ( ( e0 != unit
& op(e2,e0) = e1 )
| op(e2,e1) != e0 )
& sP79_prd ) ),
inference(formula_renaming,[status(thm)],[f826,f866]) ).
fof(f868,plain,
( ( ( ( e0 = unit
| op(e2,e0) != e1 )
& op(e2,e1) = e0 )
| ~ sP79_prd
| sP74_prd )
& ( ( ( ( e0 != unit
& op(e2,e0) = e1 )
| op(e2,e1) != e0 )
& sP79_prd )
| ~ sP74_prd ) ),
inference(NNF_transformation,[status(thm)],[f867]) ).
fof(f869,plain,
( sP79_prd
| ~ sP74_prd ),
inference(cnf_transformation,[status(thm)],[f868]) ).
fof(f874,definition,
( sP80_prd
<=> ( ( ( e1 != unit
& op(e1,e1) = e4 )
| op(e1,e4) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e3 )
| op(e1,e3) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e2 )
| op(e1,e2) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e1 )
| op(e1,e1) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e0 )
| op(e1,e0) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e4 )
| op(e0,e4) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e3 )
| op(e0,e3) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e2 )
| op(e0,e2) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e1 )
| op(e0,e1) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP80_prd])],[]) ).
fof(f875,plain,
( sP75_prd
<=> ( ( ( e1 != unit
& op(e2,e1) = e0 )
| op(e2,e0) != e1 )
& sP80_prd ) ),
inference(formula_renaming,[status(thm)],[f834,f874]) ).
fof(f876,plain,
( ( ( ( e1 = unit
| op(e2,e1) != e0 )
& op(e2,e0) = e1 )
| ~ sP80_prd
| sP75_prd )
& ( ( ( ( e1 != unit
& op(e2,e1) = e0 )
| op(e2,e0) != e1 )
& sP80_prd )
| ~ sP75_prd ) ),
inference(NNF_transformation,[status(thm)],[f875]) ).
fof(f877,plain,
( sP80_prd
| ~ sP75_prd ),
inference(cnf_transformation,[status(thm)],[f876]) ).
fof(f882,definition,
( sP81_prd
<=> ( ( ( e2 != unit
& op(e1,e2) = e3 )
| op(e1,e3) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e2 )
| op(e1,e2) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e1 )
| op(e1,e1) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e0 )
| op(e1,e0) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e4 )
| op(e0,e4) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e3 )
| op(e0,e3) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e2 )
| op(e0,e2) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e1 )
| op(e0,e1) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e0 )
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP81_prd])],[]) ).
fof(f883,plain,
( sP76_prd
<=> ( ( ( e2 != unit
& op(e1,e2) = e4 )
| op(e1,e4) != e2 )
& sP81_prd ) ),
inference(formula_renaming,[status(thm)],[f842,f882]) ).
fof(f884,plain,
( ( ( ( e2 = unit
| op(e1,e2) != e4 )
& op(e1,e4) = e2 )
| ~ sP81_prd
| sP76_prd )
& ( ( ( ( e2 != unit
& op(e1,e2) = e4 )
| op(e1,e4) != e2 )
& sP81_prd )
| ~ sP76_prd ) ),
inference(NNF_transformation,[status(thm)],[f883]) ).
fof(f885,plain,
( sP81_prd
| ~ sP76_prd ),
inference(cnf_transformation,[status(thm)],[f884]) ).
fof(f898,definition,
( sP83_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,[sP83_prd])],[]) ).
fof(f899,plain,
( sP78_prd
<=> ( ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 )
| sP83_prd ) ),
inference(formula_renaming,[status(thm)],[f858,f898]) ).
fof(f900,plain,
( ( ( ( op(e1,e2) = e1
| op(e2,e2) != e1
| op(e1,e1) != e2 )
& ~ sP83_prd )
| sP78_prd )
& ( ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 )
| sP83_prd
| ~ sP78_prd ) ),
inference(NNF_transformation,[status(thm)],[f899]) ).
fof(f901,plain,
( op(e1,e1) = e2
| sP83_prd
| ~ sP78_prd ),
inference(cnf_transformation,[status(thm)],[f900]) ).
fof(f906,definition,
( sP84_prd
<=> ( ( ( e0 != unit
& op(e1,e0) = e4 )
| op(e1,e4) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e3 )
| op(e1,e3) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e2 )
| op(e1,e2) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e1 )
| op(e1,e1) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e0 )
| op(e1,e0) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| op(e0,e4) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e3 )
| op(e0,e3) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| op(e0,e2) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| op(e0,e1) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP84_prd])],[]) ).
fof(f907,plain,
( sP79_prd
<=> ( ( ( e0 != unit
& op(e2,e0) = e0 )
| op(e2,e0) != e0 )
& sP84_prd ) ),
inference(formula_renaming,[status(thm)],[f866,f906]) ).
fof(f908,plain,
( ( ( ( e0 = unit
| op(e2,e0) != e0 )
& op(e2,e0) = e0 )
| ~ sP84_prd
| sP79_prd )
& ( ( ( ( e0 != unit
& op(e2,e0) = e0 )
| op(e2,e0) != e0 )
& sP84_prd )
| ~ sP79_prd ) ),
inference(NNF_transformation,[status(thm)],[f907]) ).
fof(f909,plain,
( sP84_prd
| ~ sP79_prd ),
inference(cnf_transformation,[status(thm)],[f908]) ).
fof(f914,definition,
( sP85_prd
<=> ( ( ( e1 != unit
& op(e1,e1) = e3 )
| op(e1,e3) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e2 )
| op(e1,e2) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e1 )
| op(e1,e1) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e0 )
| op(e1,e0) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e4 )
| op(e0,e4) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e3 )
| op(e0,e3) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e2 )
| op(e0,e2) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e1 )
| op(e0,e1) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP85_prd])],[]) ).
fof(f915,plain,
( sP80_prd
<=> ( ( ( e1 != unit
& op(e1,e1) = e4 )
| op(e1,e4) != e1 )
& sP85_prd ) ),
inference(formula_renaming,[status(thm)],[f874,f914]) ).
fof(f916,plain,
( ( ( ( e1 = unit
| op(e1,e1) != e4 )
& op(e1,e4) = e1 )
| ~ sP85_prd
| sP80_prd )
& ( ( ( ( e1 != unit
& op(e1,e1) = e4 )
| op(e1,e4) != e1 )
& sP85_prd )
| ~ sP80_prd ) ),
inference(NNF_transformation,[status(thm)],[f915]) ).
fof(f918,plain,
( op(e1,e1) = e4
| op(e1,e4) != e1
| ~ sP80_prd ),
inference(cnf_transformation,[status(thm)],[f916]) ).
fof(f922,definition,
( sP86_prd
<=> ( ( ( e2 != unit
& op(e1,e2) = e2 )
| op(e1,e2) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e1 )
| op(e1,e1) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e0 )
| op(e1,e0) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e4 )
| op(e0,e4) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e3 )
| op(e0,e3) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e2 )
| op(e0,e2) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e1 )
| op(e0,e1) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e0 )
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP86_prd])],[]) ).
fof(f923,plain,
( sP81_prd
<=> ( ( ( e2 != unit
& op(e1,e2) = e3 )
| op(e1,e3) != e2 )
& sP86_prd ) ),
inference(formula_renaming,[status(thm)],[f882,f922]) ).
fof(f924,plain,
( ( ( ( e2 = unit
| op(e1,e2) != e3 )
& op(e1,e3) = e2 )
| ~ sP86_prd
| sP81_prd )
& ( ( ( ( e2 != unit
& op(e1,e2) = e3 )
| op(e1,e3) != e2 )
& sP86_prd )
| ~ sP81_prd ) ),
inference(NNF_transformation,[status(thm)],[f923]) ).
fof(f925,plain,
( sP86_prd
| ~ sP81_prd ),
inference(cnf_transformation,[status(thm)],[f924]) ).
fof(f926,plain,
( op(e1,e2) = e3
| op(e1,e3) != e2
| ~ sP81_prd ),
inference(cnf_transformation,[status(thm)],[f924]) ).
fof(f938,definition,
( sP88_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,[sP88_prd])],[]) ).
fof(f939,plain,
( sP83_prd
<=> ( ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| sP88_prd ) ),
inference(formula_renaming,[status(thm)],[f898,f938]) ).
fof(f940,plain,
( ( ( ( op(e1,e1) = e1
| op(e1,e1) != e1
| op(e1,e1) != e1 )
& ~ sP88_prd )
| sP83_prd )
& ( ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| sP88_prd
| ~ sP83_prd ) ),
inference(NNF_transformation,[status(thm)],[f939]) ).
fof(f941,plain,
( op(e1,e1) = e1
| sP88_prd
| ~ sP83_prd ),
inference(cnf_transformation,[status(thm)],[f940]) ).
fof(f946,definition,
( sP89_prd
<=> ( ( ( e0 != unit
& op(e1,e0) = e3 )
| op(e1,e3) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e2 )
| op(e1,e2) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e1 )
| op(e1,e1) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e0 )
| op(e1,e0) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| op(e0,e4) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e3 )
| op(e0,e3) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| op(e0,e2) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| op(e0,e1) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP89_prd])],[]) ).
fof(f947,plain,
( sP84_prd
<=> ( ( ( e0 != unit
& op(e1,e0) = e4 )
| op(e1,e4) != e0 )
& sP89_prd ) ),
inference(formula_renaming,[status(thm)],[f906,f946]) ).
fof(f948,plain,
( ( ( ( e0 = unit
| op(e1,e0) != e4 )
& op(e1,e4) = e0 )
| ~ sP89_prd
| sP84_prd )
& ( ( ( ( e0 != unit
& op(e1,e0) = e4 )
| op(e1,e4) != e0 )
& sP89_prd )
| ~ sP84_prd ) ),
inference(NNF_transformation,[status(thm)],[f947]) ).
fof(f949,plain,
( sP89_prd
| ~ sP84_prd ),
inference(cnf_transformation,[status(thm)],[f948]) ).
fof(f954,definition,
( sP90_prd
<=> ( ( ( e1 != unit
& op(e1,e1) = e2 )
| op(e1,e2) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e1 )
| op(e1,e1) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e0 )
| op(e1,e0) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e4 )
| op(e0,e4) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e3 )
| op(e0,e3) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e2 )
| op(e0,e2) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e1 )
| op(e0,e1) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP90_prd])],[]) ).
fof(f962,definition,
( sP91_prd
<=> ( ( ( e2 != unit
& op(e1,e2) = e1 )
| op(e1,e1) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e0 )
| op(e1,e0) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e4 )
| op(e0,e4) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e3 )
| op(e0,e3) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e2 )
| op(e0,e2) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e1 )
| op(e0,e1) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e0 )
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP91_prd])],[]) ).
fof(f963,plain,
( sP86_prd
<=> ( ( ( e2 != unit
& op(e1,e2) = e2 )
| op(e1,e2) != e2 )
& sP91_prd ) ),
inference(formula_renaming,[status(thm)],[f922,f962]) ).
fof(f964,plain,
( ( ( ( e2 = unit
| op(e1,e2) != e2 )
& op(e1,e2) = e2 )
| ~ sP91_prd
| sP86_prd )
& ( ( ( ( e2 != unit
& op(e1,e2) = e2 )
| op(e1,e2) != e2 )
& sP91_prd )
| ~ sP86_prd ) ),
inference(NNF_transformation,[status(thm)],[f963]) ).
fof(f965,plain,
( sP91_prd
| ~ sP86_prd ),
inference(cnf_transformation,[status(thm)],[f964]) ).
fof(f978,definition,
( sP93_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,[sP93_prd])],[]) ).
fof(f979,plain,
( sP88_prd
<=> ( ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| sP93_prd ) ),
inference(formula_renaming,[status(thm)],[f938,f978]) ).
fof(f980,plain,
( ( ( ( op(e1,e0) = e1
| op(e0,e0) != e1
| op(e1,e1) != e0 )
& ~ sP93_prd )
| sP88_prd )
& ( ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| sP93_prd
| ~ sP88_prd ) ),
inference(NNF_transformation,[status(thm)],[f979]) ).
fof(f982,plain,
( op(e0,e0) = e1
| sP93_prd
| ~ sP88_prd ),
inference(cnf_transformation,[status(thm)],[f980]) ).
fof(f986,definition,
( sP94_prd
<=> ( ( ( e0 != unit
& op(e1,e0) = e2 )
| op(e1,e2) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e1 )
| op(e1,e1) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e0 )
| op(e1,e0) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| op(e0,e4) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e3 )
| op(e0,e3) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| op(e0,e2) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| op(e0,e1) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP94_prd])],[]) ).
fof(f987,plain,
( sP89_prd
<=> ( ( ( e0 != unit
& op(e1,e0) = e3 )
| op(e1,e3) != e0 )
& sP94_prd ) ),
inference(formula_renaming,[status(thm)],[f946,f986]) ).
fof(f988,plain,
( ( ( ( e0 = unit
| op(e1,e0) != e3 )
& op(e1,e3) = e0 )
| ~ sP94_prd
| sP89_prd )
& ( ( ( ( e0 != unit
& op(e1,e0) = e3 )
| op(e1,e3) != e0 )
& sP94_prd )
| ~ sP89_prd ) ),
inference(NNF_transformation,[status(thm)],[f987]) ).
fof(f989,plain,
( sP94_prd
| ~ sP89_prd ),
inference(cnf_transformation,[status(thm)],[f988]) ).
fof(f994,definition,
( sP95_prd
<=> ( ( ( e1 != unit
& op(e1,e1) = e1 )
| op(e1,e1) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e0 )
| op(e1,e0) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e4 )
| op(e0,e4) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e3 )
| op(e0,e3) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e2 )
| op(e0,e2) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e1 )
| op(e0,e1) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP95_prd])],[]) ).
fof(f1002,definition,
( sP96_prd
<=> ( ( ( e2 != unit
& op(e1,e2) = e0 )
| op(e1,e0) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e4 )
| op(e0,e4) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e3 )
| op(e0,e3) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e2 )
| op(e0,e2) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e1 )
| op(e0,e1) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e0 )
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP96_prd])],[]) ).
fof(f1003,plain,
( sP91_prd
<=> ( ( ( e2 != unit
& op(e1,e2) = e1 )
| op(e1,e1) != e2 )
& sP96_prd ) ),
inference(formula_renaming,[status(thm)],[f962,f1002]) ).
fof(f1004,plain,
( ( ( ( e2 = unit
| op(e1,e2) != e1 )
& op(e1,e1) = e2 )
| ~ sP96_prd
| sP91_prd )
& ( ( ( ( e2 != unit
& op(e1,e2) = e1 )
| op(e1,e1) != e2 )
& sP96_prd )
| ~ sP91_prd ) ),
inference(NNF_transformation,[status(thm)],[f1003]) ).
fof(f1005,plain,
( sP96_prd
| ~ sP91_prd ),
inference(cnf_transformation,[status(thm)],[f1004]) ).
fof(f1018,definition,
( sP98_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,[sP98_prd])],[]) ).
fof(f1019,plain,
( sP93_prd
<=> ( ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| sP98_prd ) ),
inference(formula_renaming,[status(thm)],[f978,f1018]) ).
fof(f1020,plain,
( ( ( ( op(e0,e4) = e0
| op(e4,e4) != e0
| op(e0,e0) != e4 )
& ~ sP98_prd )
| sP93_prd )
& ( ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| sP98_prd
| ~ sP93_prd ) ),
inference(NNF_transformation,[status(thm)],[f1019]) ).
fof(f1021,plain,
( op(e0,e0) = e4
| sP98_prd
| ~ sP93_prd ),
inference(cnf_transformation,[status(thm)],[f1020]) ).
fof(f1026,definition,
( sP99_prd
<=> ( ( ( e0 != unit
& op(e1,e0) = e1 )
| op(e1,e1) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e0 )
| op(e1,e0) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| op(e0,e4) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e3 )
| op(e0,e3) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| op(e0,e2) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| op(e0,e1) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP99_prd])],[]) ).
fof(f1027,plain,
( sP94_prd
<=> ( ( ( e0 != unit
& op(e1,e0) = e2 )
| op(e1,e2) != e0 )
& sP99_prd ) ),
inference(formula_renaming,[status(thm)],[f986,f1026]) ).
fof(f1028,plain,
( ( ( ( e0 = unit
| op(e1,e0) != e2 )
& op(e1,e2) = e0 )
| ~ sP99_prd
| sP94_prd )
& ( ( ( ( e0 != unit
& op(e1,e0) = e2 )
| op(e1,e2) != e0 )
& sP99_prd )
| ~ sP94_prd ) ),
inference(NNF_transformation,[status(thm)],[f1027]) ).
fof(f1029,plain,
( sP99_prd
| ~ sP94_prd ),
inference(cnf_transformation,[status(thm)],[f1028]) ).
fof(f1034,definition,
( sP100_prd
<=> ( ( ( e1 != unit
& op(e1,e1) = e0 )
| op(e1,e0) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e4 )
| op(e0,e4) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e3 )
| op(e0,e3) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e2 )
| op(e0,e2) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e1 )
| op(e0,e1) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP100_prd])],[]) ).
fof(f1042,definition,
( sP101_prd
<=> ( ( ( e2 != unit
& op(e0,e2) = e4 )
| op(e0,e4) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e3 )
| op(e0,e3) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e2 )
| op(e0,e2) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e1 )
| op(e0,e1) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e0 )
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP101_prd])],[]) ).
fof(f1043,plain,
( sP96_prd
<=> ( ( ( e2 != unit
& op(e1,e2) = e0 )
| op(e1,e0) != e2 )
& sP101_prd ) ),
inference(formula_renaming,[status(thm)],[f1002,f1042]) ).
fof(f1044,plain,
( ( ( ( e2 = unit
| op(e1,e2) != e0 )
& op(e1,e0) = e2 )
| ~ sP101_prd
| sP96_prd )
& ( ( ( ( e2 != unit
& op(e1,e2) = e0 )
| op(e1,e0) != e2 )
& sP101_prd )
| ~ sP96_prd ) ),
inference(NNF_transformation,[status(thm)],[f1043]) ).
fof(f1046,plain,
( op(e1,e2) = e0
| op(e1,e0) != e2
| ~ sP96_prd ),
inference(cnf_transformation,[status(thm)],[f1044]) ).
fof(f1058,definition,
( sP103_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,[sP103_prd])],[]) ).
fof(f1059,plain,
( sP98_prd
<=> ( ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| sP103_prd ) ),
inference(formula_renaming,[status(thm)],[f1018,f1058]) ).
fof(f1060,plain,
( ( ( ( op(e0,e3) = e0
| op(e3,e3) != e0
| op(e0,e0) != e3 )
& ~ sP103_prd )
| sP98_prd )
& ( ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| sP103_prd
| ~ sP98_prd ) ),
inference(NNF_transformation,[status(thm)],[f1059]) ).
fof(f1062,plain,
( op(e3,e3) = e0
| sP103_prd
| ~ sP98_prd ),
inference(cnf_transformation,[status(thm)],[f1060]) ).
fof(f1066,definition,
( sP104_prd
<=> ( ( ( e0 != unit
& op(e1,e0) = e0 )
| op(e1,e0) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| op(e0,e4) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e3 )
| op(e0,e3) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| op(e0,e2) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| op(e0,e1) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP104_prd])],[]) ).
fof(f1067,plain,
( sP99_prd
<=> ( ( ( e0 != unit
& op(e1,e0) = e1 )
| op(e1,e1) != e0 )
& sP104_prd ) ),
inference(formula_renaming,[status(thm)],[f1026,f1066]) ).
fof(f1068,plain,
( ( ( ( e0 = unit
| op(e1,e0) != e1 )
& op(e1,e1) = e0 )
| ~ sP104_prd
| sP99_prd )
& ( ( ( ( e0 != unit
& op(e1,e0) = e1 )
| op(e1,e1) != e0 )
& sP104_prd )
| ~ sP99_prd ) ),
inference(NNF_transformation,[status(thm)],[f1067]) ).
fof(f1070,plain,
( op(e1,e0) = e1
| op(e1,e1) != e0
| ~ sP99_prd ),
inference(cnf_transformation,[status(thm)],[f1068]) ).
fof(f1071,plain,
( e0 != unit
| op(e1,e1) != e0
| ~ sP99_prd ),
inference(cnf_transformation,[status(thm)],[f1068]) ).
fof(f1074,definition,
( sP105_prd
<=> ( ( ( e1 != unit
& op(e0,e1) = e4 )
| op(e0,e4) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e3 )
| op(e0,e3) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e2 )
| op(e0,e2) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e1 )
| op(e0,e1) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP105_prd])],[]) ).
fof(f1082,definition,
( sP106_prd
<=> ( ( ( e2 != unit
& op(e0,e2) = e3 )
| op(e0,e3) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e2 )
| op(e0,e2) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e1 )
| op(e0,e1) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e0 )
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP106_prd])],[]) ).
fof(f1098,definition,
( sP108_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,[sP108_prd])],[]) ).
fof(f1099,plain,
( sP103_prd
<=> ( ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| sP108_prd ) ),
inference(formula_renaming,[status(thm)],[f1058,f1098]) ).
fof(f1100,plain,
( ( ( ( op(e0,e2) = e0
| op(e2,e2) != e0
| op(e0,e0) != e2 )
& ~ sP108_prd )
| sP103_prd )
& ( ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| sP108_prd
| ~ sP103_prd ) ),
inference(NNF_transformation,[status(thm)],[f1099]) ).
fof(f1102,plain,
( op(e2,e2) = e0
| sP108_prd
| ~ sP103_prd ),
inference(cnf_transformation,[status(thm)],[f1100]) ).
fof(f1106,definition,
( sP109_prd
<=> ( ( ( e0 != unit
& op(e0,e0) = e4 )
| op(e0,e4) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e3 )
| op(e0,e3) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| op(e0,e2) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| op(e0,e1) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP109_prd])],[]) ).
fof(f1107,plain,
( sP104_prd
<=> ( ( ( e0 != unit
& op(e1,e0) = e0 )
| op(e1,e0) != e0 )
& sP109_prd ) ),
inference(formula_renaming,[status(thm)],[f1066,f1106]) ).
fof(f1108,plain,
( ( ( ( e0 = unit
| op(e1,e0) != e0 )
& op(e1,e0) = e0 )
| ~ sP109_prd
| sP104_prd )
& ( ( ( ( e0 != unit
& op(e1,e0) = e0 )
| op(e1,e0) != e0 )
& sP109_prd )
| ~ sP104_prd ) ),
inference(NNF_transformation,[status(thm)],[f1107]) ).
fof(f1109,plain,
( sP109_prd
| ~ sP104_prd ),
inference(cnf_transformation,[status(thm)],[f1108]) ).
fof(f1114,definition,
( sP110_prd
<=> ( ( ( e1 != unit
& op(e0,e1) = e3 )
| op(e0,e3) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e2 )
| op(e0,e2) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e1 )
| op(e0,e1) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP110_prd])],[]) ).
fof(f1122,definition,
( sP111_prd
<=> ( ( ( e2 != unit
& op(e0,e2) = e2 )
| op(e0,e2) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e1 )
| op(e0,e1) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e0 )
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP111_prd])],[]) ).
fof(f1123,plain,
( sP106_prd
<=> ( ( ( e2 != unit
& op(e0,e2) = e3 )
| op(e0,e3) != e2 )
& sP111_prd ) ),
inference(formula_renaming,[status(thm)],[f1082,f1122]) ).
fof(f1124,plain,
( ( ( ( e2 = unit
| op(e0,e2) != e3 )
& op(e0,e3) = e2 )
| ~ sP111_prd
| sP106_prd )
& ( ( ( ( e2 != unit
& op(e0,e2) = e3 )
| op(e0,e3) != e2 )
& sP111_prd )
| ~ sP106_prd ) ),
inference(NNF_transformation,[status(thm)],[f1123]) ).
fof(f1128,plain,
( op(e0,e3) = e2
| ~ sP111_prd
| sP106_prd ),
inference(cnf_transformation,[status(thm)],[f1124]) ).
fof(f1138,definition,
( sP113_prd
<=> ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ),
introduced(definition,[new_symbols(definition,[sP113_prd])],[]) ).
fof(f1139,plain,
( sP108_prd
<=> ( ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| sP113_prd ) ),
inference(formula_renaming,[status(thm)],[f1098,f1138]) ).
fof(f1140,plain,
( ( ( ( op(e0,e1) = e0
| op(e1,e1) != e0
| op(e0,e0) != e1 )
& ~ sP113_prd )
| sP108_prd )
& ( ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| sP113_prd
| ~ sP108_prd ) ),
inference(NNF_transformation,[status(thm)],[f1139]) ).
fof(f1141,plain,
( op(e0,e0) = e1
| sP113_prd
| ~ sP108_prd ),
inference(cnf_transformation,[status(thm)],[f1140]) ).
fof(f1146,definition,
( sP114_prd
<=> ( ( ( e0 != unit
& op(e0,e0) = e3 )
| op(e0,e3) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| op(e0,e2) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| op(e0,e1) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP114_prd])],[]) ).
fof(f1147,plain,
( sP109_prd
<=> ( ( ( e0 != unit
& op(e0,e0) = e4 )
| op(e0,e4) != e0 )
& sP114_prd ) ),
inference(formula_renaming,[status(thm)],[f1106,f1146]) ).
fof(f1148,plain,
( ( ( ( e0 = unit
| op(e0,e0) != e4 )
& op(e0,e4) = e0 )
| ~ sP114_prd
| sP109_prd )
& ( ( ( ( e0 != unit
& op(e0,e0) = e4 )
| op(e0,e4) != e0 )
& sP114_prd )
| ~ sP109_prd ) ),
inference(NNF_transformation,[status(thm)],[f1147]) ).
fof(f1149,plain,
( sP114_prd
| ~ sP109_prd ),
inference(cnf_transformation,[status(thm)],[f1148]) ).
fof(f1154,definition,
( sP115_prd
<=> ( ( ( e1 != unit
& op(e0,e1) = e2 )
| op(e0,e2) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e1 )
| op(e0,e1) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP115_prd])],[]) ).
fof(f1162,definition,
( sP116_prd
<=> ( ( ( e2 != unit
& op(e0,e2) = e1 )
| op(e0,e1) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e0 )
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP116_prd])],[]) ).
fof(f1163,plain,
( sP111_prd
<=> ( ( ( e2 != unit
& op(e0,e2) = e2 )
| op(e0,e2) != e2 )
& sP116_prd ) ),
inference(formula_renaming,[status(thm)],[f1122,f1162]) ).
fof(f1164,plain,
( ( ( ( e2 = unit
| op(e0,e2) != e2 )
& op(e0,e2) = e2 )
| ~ sP116_prd
| sP111_prd )
& ( ( ( ( e2 != unit
& op(e0,e2) = e2 )
| op(e0,e2) != e2 )
& sP116_prd )
| ~ sP111_prd ) ),
inference(NNF_transformation,[status(thm)],[f1163]) ).
fof(f1169,plain,
( e2 = unit
| op(e0,e2) != e2
| ~ sP116_prd
| sP111_prd ),
inference(cnf_transformation,[status(thm)],[f1164]) ).
fof(f1179,plain,
( ( op(e0,e0) = e0
| op(e0,e0) != e0
| op(e0,e0) != e0
| sP113_prd )
& ( ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ~ sP113_prd ) ),
inference(NNF_transformation,[status(thm)],[f1138]) ).
fof(f1182,plain,
( op(e0,e0) != e0
| ~ sP113_prd ),
inference(cnf_transformation,[status(thm)],[f1179]) ).
fof(f1184,definition,
( sP117_prd
<=> ( ( ( e0 != unit
& op(e0,e0) = e2 )
| op(e0,e2) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| op(e0,e1) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP117_prd])],[]) ).
fof(f1185,plain,
( sP114_prd
<=> ( ( ( e0 != unit
& op(e0,e0) = e3 )
| op(e0,e3) != e0 )
& sP117_prd ) ),
inference(formula_renaming,[status(thm)],[f1146,f1184]) ).
fof(f1186,plain,
( ( ( ( e0 = unit
| op(e0,e0) != e3 )
& op(e0,e3) = e0 )
| ~ sP117_prd
| sP114_prd )
& ( ( ( ( e0 != unit
& op(e0,e0) = e3 )
| op(e0,e3) != e0 )
& sP117_prd )
| ~ sP114_prd ) ),
inference(NNF_transformation,[status(thm)],[f1185]) ).
fof(f1187,plain,
( sP117_prd
| ~ sP114_prd ),
inference(cnf_transformation,[status(thm)],[f1186]) ).
fof(f1192,definition,
( sP118_prd
<=> ( ( ( e1 != unit
& op(e0,e1) = e1 )
| op(e0,e1) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP118_prd])],[]) ).
fof(f1193,plain,
( sP115_prd
<=> ( ( ( e1 != unit
& op(e0,e1) = e2 )
| op(e0,e2) != e1 )
& sP118_prd ) ),
inference(formula_renaming,[status(thm)],[f1154,f1192]) ).
fof(f1194,plain,
( ( ( ( e1 = unit
| op(e0,e1) != e2 )
& op(e0,e2) = e1 )
| ~ sP118_prd
| sP115_prd )
& ( ( ( ( e1 != unit
& op(e0,e1) = e2 )
| op(e0,e2) != e1 )
& sP118_prd )
| ~ sP115_prd ) ),
inference(NNF_transformation,[status(thm)],[f1193]) ).
fof(f1198,plain,
( op(e0,e2) = e1
| ~ sP118_prd
| sP115_prd ),
inference(cnf_transformation,[status(thm)],[f1194]) ).
fof(f1200,plain,
( ( ( ( e2 = unit
| op(e0,e2) != e1 )
& op(e0,e1) = e2 )
| ( ( e2 = unit
| op(e0,e2) != e0 )
& op(e0,e0) = e2 )
| sP116_prd )
& ( ( ( ( e2 != unit
& op(e0,e2) = e1 )
| op(e0,e1) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e0 )
| op(e0,e0) != e2 ) )
| ~ sP116_prd ) ),
inference(NNF_transformation,[status(thm)],[f1162]) ).
fof(f1205,plain,
( op(e0,e1) = e2
| op(e0,e0) = e2
| sP116_prd ),
inference(cnf_transformation,[status(thm)],[f1200]) ).
fof(f1209,definition,
( sP119_prd
<=> ( ( ( e0 != unit
& op(e0,e0) = e1 )
| op(e0,e1) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP119_prd])],[]) ).
fof(f1210,plain,
( sP117_prd
<=> ( ( ( e0 != unit
& op(e0,e0) = e2 )
| op(e0,e2) != e0 )
& sP119_prd ) ),
inference(formula_renaming,[status(thm)],[f1184,f1209]) ).
fof(f1211,plain,
( ( ( ( e0 = unit
| op(e0,e0) != e2 )
& op(e0,e2) = e0 )
| ~ sP119_prd
| sP117_prd )
& ( ( ( ( e0 != unit
& op(e0,e0) = e2 )
| op(e0,e2) != e0 )
& sP119_prd )
| ~ sP117_prd ) ),
inference(NNF_transformation,[status(thm)],[f1210]) ).
fof(f1212,plain,
( sP119_prd
| ~ sP117_prd ),
inference(cnf_transformation,[status(thm)],[f1211]) ).
fof(f1217,plain,
( ( ( ( e1 = unit
| op(e0,e1) != e1 )
& op(e0,e1) = e1 )
| ( ( e1 = unit
| op(e0,e1) != e0 )
& op(e0,e0) = e1 )
| sP118_prd )
& ( ( ( ( e1 != unit
& op(e0,e1) = e1 )
| op(e0,e1) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ) )
| ~ sP118_prd ) ),
inference(NNF_transformation,[status(thm)],[f1192]) ).
fof(f1223,plain,
( e1 = unit
| op(e0,e1) != e1
| op(e0,e0) = e1
| sP118_prd ),
inference(cnf_transformation,[status(thm)],[f1217]) ).
fof(f1226,plain,
( ( ( ( e0 = unit
| op(e0,e0) != e1 )
& op(e0,e1) = e0 )
| ( ( e0 = unit
| op(e0,e0) != e0 )
& op(e0,e0) = e0 )
| sP119_prd )
& ( ( ( ( e0 != unit
& op(e0,e0) = e1 )
| op(e0,e1) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ) )
| ~ sP119_prd ) ),
inference(NNF_transformation,[status(thm)],[f1209]) ).
fof(f1228,plain,
( e0 != unit
| op(e0,e0) != e0
| ~ sP119_prd ),
inference(cnf_transformation,[status(thm)],[f1226]) ).
fof(f1235,definition,
( sQ0_spl
<=> op(e0,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f1238,definition,
( sQ1_spl
<=> op(e0,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f1241,definition,
( sQ2_spl
<=> op(e0,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f1247,definition,
( sQ4_spl
<=> op(e0,e0) = e4 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f1251,definition,
( sQ5_spl
<=> op(e0,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f1252,plain,
( ~ sQ5_spl
| op(e0,e1) = e0 ),
inference(component_clause,[status(thm)],[f1251]) ).
fof(f1254,definition,
( sQ6_spl
<=> op(e0,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f1255,plain,
( ~ sQ6_spl
| op(e0,e1) = e1 ),
inference(component_clause,[status(thm)],[f1254]) ).
fof(f1257,definition,
( sQ7_spl
<=> op(e0,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f1260,definition,
( sQ8_spl
<=> op(e0,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f1261,plain,
( ~ sQ8_spl
| op(e0,e1) = e3 ),
inference(component_clause,[status(thm)],[f1260]) ).
fof(f1263,definition,
( sQ9_spl
<=> op(e0,e1) = e4 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f1264,plain,
( ~ sQ9_spl
| op(e0,e1) = e4 ),
inference(component_clause,[status(thm)],[f1263]) ).
fof(f1267,definition,
( sQ10_spl
<=> op(e0,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f1270,definition,
( sQ11_spl
<=> op(e0,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f1271,plain,
( ~ sQ11_spl
| op(e0,e2) = e1 ),
inference(component_clause,[status(thm)],[f1270]) ).
fof(f1273,definition,
( sQ12_spl
<=> op(e0,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f1274,plain,
( ~ sQ12_spl
| op(e0,e2) = e2 ),
inference(component_clause,[status(thm)],[f1273]) ).
fof(f1276,definition,
( sQ13_spl
<=> op(e0,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f1277,plain,
( ~ sQ13_spl
| op(e0,e2) = e3 ),
inference(component_clause,[status(thm)],[f1276]) ).
fof(f1283,definition,
( sQ15_spl
<=> op(e0,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f1289,definition,
( sQ17_spl
<=> op(e0,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f1295,definition,
( sQ19_spl
<=> op(e0,e3) = e4 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f1296,plain,
( ~ sQ19_spl
| op(e0,e3) = e4 ),
inference(component_clause,[status(thm)],[f1295]) ).
fof(f1299,definition,
( sQ20_spl
<=> op(e0,e4) = e0 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f1300,plain,
( ~ sQ20_spl
| op(e0,e4) = e0 ),
inference(component_clause,[status(thm)],[f1299]) ).
fof(f1315,definition,
( sQ25_spl
<=> op(e1,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f1316,plain,
( ~ sQ25_spl
| op(e1,e0) = e0 ),
inference(component_clause,[status(thm)],[f1315]) ).
fof(f1318,definition,
( sQ26_spl
<=> op(e1,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f1319,plain,
( ~ sQ26_spl
| op(e1,e0) = e1 ),
inference(component_clause,[status(thm)],[f1318]) ).
fof(f1321,definition,
( sQ27_spl
<=> op(e1,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f1324,definition,
( sQ28_spl
<=> op(e1,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f1325,plain,
( ~ sQ28_spl
| op(e1,e0) = e3 ),
inference(component_clause,[status(thm)],[f1324]) ).
fof(f1331,definition,
( sQ30_spl
<=> op(e1,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f1334,definition,
( sQ31_spl
<=> op(e1,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f1335,plain,
( ~ sQ31_spl
| op(e1,e1) = e1 ),
inference(component_clause,[status(thm)],[f1334]) ).
fof(f1337,definition,
( sQ32_spl
<=> op(e1,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f1338,plain,
( ~ sQ32_spl
| op(e1,e1) = e2 ),
inference(component_clause,[status(thm)],[f1337]) ).
fof(f1340,definition,
( sQ33_spl
<=> op(e1,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f1341,plain,
( ~ sQ33_spl
| op(e1,e1) = e3 ),
inference(component_clause,[status(thm)],[f1340]) ).
fof(f1343,definition,
( sQ34_spl
<=> op(e1,e1) = e4 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f1344,plain,
( ~ sQ34_spl
| op(e1,e1) = e4 ),
inference(component_clause,[status(thm)],[f1343]) ).
fof(f1346,plain,
( sQ34_spl
| sQ33_spl
| sQ32_spl
| sQ31_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f15,f1331,f1334,f1337,f1340,f1343]) ).
fof(f1347,definition,
( sQ35_spl
<=> op(e1,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f1348,plain,
( ~ sQ35_spl
| op(e1,e2) = e0 ),
inference(component_clause,[status(thm)],[f1347]) ).
fof(f1350,definition,
( sQ36_spl
<=> op(e1,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f1351,plain,
( ~ sQ36_spl
| op(e1,e2) = e1 ),
inference(component_clause,[status(thm)],[f1350]) ).
fof(f1353,definition,
( sQ37_spl
<=> op(e1,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f1356,definition,
( sQ38_spl
<=> op(e1,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f1357,plain,
( ~ sQ38_spl
| op(e1,e2) = e3 ),
inference(component_clause,[status(thm)],[f1356]) ).
fof(f1359,definition,
( sQ39_spl
<=> op(e1,e2) = e4 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f1362,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f16,f1347,f1350,f1353,f1356,f1359]) ).
fof(f1363,definition,
( sQ40_spl
<=> op(e1,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f1364,plain,
( ~ sQ40_spl
| op(e1,e3) = e0 ),
inference(component_clause,[status(thm)],[f1363]) ).
fof(f1369,definition,
( sQ42_spl
<=> op(e1,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f1372,definition,
( sQ43_spl
<=> op(e1,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f1375,definition,
( sQ44_spl
<=> op(e1,e3) = e4 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f1376,plain,
( ~ sQ44_spl
| op(e1,e3) = e4 ),
inference(component_clause,[status(thm)],[f1375]) ).
fof(f1379,definition,
( sQ45_spl
<=> op(e1,e4) = e0 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f1380,plain,
( ~ sQ45_spl
| op(e1,e4) = e0 ),
inference(component_clause,[status(thm)],[f1379]) ).
fof(f1382,definition,
( sQ46_spl
<=> op(e1,e4) = e1 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f1383,plain,
( ~ sQ46_spl
| op(e1,e4) = e1 ),
inference(component_clause,[status(thm)],[f1382]) ).
fof(f1385,definition,
( sQ47_spl
<=> op(e1,e4) = e2 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f1386,plain,
( ~ sQ47_spl
| op(e1,e4) = e2 ),
inference(component_clause,[status(thm)],[f1385]) ).
fof(f1388,definition,
( sQ48_spl
<=> op(e1,e4) = e3 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f1389,plain,
( ~ sQ48_spl
| op(e1,e4) = e3 ),
inference(component_clause,[status(thm)],[f1388]) ).
fof(f1391,definition,
( sQ49_spl
<=> op(e1,e4) = e4 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f1392,plain,
( ~ sQ49_spl
| op(e1,e4) = e4 ),
inference(component_clause,[status(thm)],[f1391]) ).
fof(f1395,definition,
( sQ50_spl
<=> op(e2,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f1404,definition,
( sQ53_spl
<=> op(e2,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f1405,plain,
( ~ sQ53_spl
| op(e2,e0) = e3 ),
inference(component_clause,[status(thm)],[f1404]) ).
fof(f1411,definition,
( sQ55_spl
<=> op(e2,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f1412,plain,
( ~ sQ55_spl
| op(e2,e1) = e0 ),
inference(component_clause,[status(thm)],[f1411]) ).
fof(f1414,definition,
( sQ56_spl
<=> op(e2,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f1415,plain,
( ~ sQ56_spl
| op(e2,e1) = e1 ),
inference(component_clause,[status(thm)],[f1414]) ).
fof(f1420,definition,
( sQ58_spl
<=> op(e2,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f1421,plain,
( ~ sQ58_spl
| op(e2,e1) = e3 ),
inference(component_clause,[status(thm)],[f1420]) ).
fof(f1427,definition,
( sQ60_spl
<=> op(e2,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f1428,plain,
( ~ sQ60_spl
| op(e2,e2) = e0 ),
inference(component_clause,[status(thm)],[f1427]) ).
fof(f1430,definition,
( sQ61_spl
<=> op(e2,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f1431,plain,
( ~ sQ61_spl
| op(e2,e2) = e1 ),
inference(component_clause,[status(thm)],[f1430]) ).
fof(f1433,definition,
( sQ62_spl
<=> op(e2,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f1434,plain,
( ~ sQ62_spl
| op(e2,e2) = e2 ),
inference(component_clause,[status(thm)],[f1433]) ).
fof(f1436,definition,
( sQ63_spl
<=> op(e2,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f1439,definition,
( sQ64_spl
<=> op(e2,e2) = e4 ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f1440,plain,
( ~ sQ64_spl
| op(e2,e2) = e4 ),
inference(component_clause,[status(thm)],[f1439]) ).
fof(f1442,plain,
( sQ64_spl
| sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f21,f1427,f1430,f1433,f1436,f1439]) ).
fof(f1449,definition,
( sQ67_spl
<=> op(e2,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f1450,plain,
( ~ sQ67_spl
| op(e2,e3) = e2 ),
inference(component_clause,[status(thm)],[f1449]) ).
fof(f1452,definition,
( sQ68_spl
<=> op(e2,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f1453,plain,
( ~ sQ68_spl
| op(e2,e3) = e3 ),
inference(component_clause,[status(thm)],[f1452]) ).
fof(f1465,definition,
( sQ72_spl
<=> op(e2,e4) = e2 ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f1468,definition,
( sQ73_spl
<=> op(e2,e4) = e3 ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f1469,plain,
( ~ sQ73_spl
| op(e2,e4) = e3 ),
inference(component_clause,[status(thm)],[f1468]) ).
fof(f1475,definition,
( sQ75_spl
<=> op(e3,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f1476,plain,
( ~ sQ75_spl
| op(e3,e0) = e0 ),
inference(component_clause,[status(thm)],[f1475]) ).
fof(f1478,definition,
( sQ76_spl
<=> op(e3,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f1479,plain,
( ~ sQ76_spl
| op(e3,e0) = e1 ),
inference(component_clause,[status(thm)],[f1478]) ).
fof(f1481,definition,
( sQ77_spl
<=> op(e3,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f1487,definition,
( sQ79_spl
<=> op(e3,e0) = e4 ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f1488,plain,
( ~ sQ79_spl
| op(e3,e0) = e4 ),
inference(component_clause,[status(thm)],[f1487]) ).
fof(f1497,definition,
( sQ82_spl
<=> op(e3,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f1498,plain,
( ~ sQ82_spl
| op(e3,e1) = e2 ),
inference(component_clause,[status(thm)],[f1497]) ).
fof(f1500,definition,
( sQ83_spl
<=> op(e3,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f1501,plain,
( ~ sQ83_spl
| op(e3,e1) = e3 ),
inference(component_clause,[status(thm)],[f1500]) ).
fof(f1503,definition,
( sQ84_spl
<=> op(e3,e1) = e4 ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f1504,plain,
( ~ sQ84_spl
| op(e3,e1) = e4 ),
inference(component_clause,[status(thm)],[f1503]) ).
fof(f1507,definition,
( sQ85_spl
<=> op(e3,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f1508,plain,
( ~ sQ85_spl
| op(e3,e2) = e0 ),
inference(component_clause,[status(thm)],[f1507]) ).
fof(f1510,definition,
( sQ86_spl
<=> op(e3,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f1512,plain,
( sQ86_spl
| op(e3,e2) != e1 ),
inference(component_clause,[status(thm)],[f1510]) ).
fof(f1513,definition,
( sQ87_spl
<=> op(e3,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f1514,plain,
( ~ sQ87_spl
| op(e3,e2) = e2 ),
inference(component_clause,[status(thm)],[f1513]) ).
fof(f1516,definition,
( sQ88_spl
<=> op(e3,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f1517,plain,
( ~ sQ88_spl
| op(e3,e2) = e3 ),
inference(component_clause,[status(thm)],[f1516]) ).
fof(f1519,definition,
( sQ89_spl
<=> op(e3,e2) = e4 ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f1520,plain,
( ~ sQ89_spl
| op(e3,e2) = e4 ),
inference(component_clause,[status(thm)],[f1519]) ).
fof(f1523,definition,
( sQ90_spl
<=> op(e3,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f1524,plain,
( ~ sQ90_spl
| op(e3,e3) = e0 ),
inference(component_clause,[status(thm)],[f1523]) ).
fof(f1526,definition,
( sQ91_spl
<=> op(e3,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f1527,plain,
( ~ sQ91_spl
| op(e3,e3) = e1 ),
inference(component_clause,[status(thm)],[f1526]) ).
fof(f1529,definition,
( sQ92_spl
<=> op(e3,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f1530,plain,
( ~ sQ92_spl
| op(e3,e3) = e2 ),
inference(component_clause,[status(thm)],[f1529]) ).
fof(f1532,definition,
( sQ93_spl
<=> op(e3,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f1533,plain,
( ~ sQ93_spl
| op(e3,e3) = e3 ),
inference(component_clause,[status(thm)],[f1532]) ).
fof(f1535,definition,
( sQ94_spl
<=> op(e3,e3) = e4 ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f1537,plain,
( sQ94_spl
| op(e3,e3) != e4 ),
inference(component_clause,[status(thm)],[f1535]) ).
fof(f1542,definition,
( sQ96_spl
<=> op(e3,e4) = e1 ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f1543,plain,
( ~ sQ96_spl
| op(e3,e4) = e1 ),
inference(component_clause,[status(thm)],[f1542]) ).
fof(f1545,definition,
( sQ97_spl
<=> op(e3,e4) = e2 ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f1546,plain,
( ~ sQ97_spl
| op(e3,e4) = e2 ),
inference(component_clause,[status(thm)],[f1545]) ).
fof(f1548,definition,
( sQ98_spl
<=> op(e3,e4) = e3 ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f1551,definition,
( sQ99_spl
<=> op(e3,e4) = e4 ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f1552,plain,
( ~ sQ99_spl
| op(e3,e4) = e4 ),
inference(component_clause,[status(thm)],[f1551]) ).
fof(f1555,definition,
( sQ100_spl
<=> op(e4,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f1567,definition,
( sQ104_spl
<=> op(e4,e0) = e4 ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f1568,plain,
( ~ sQ104_spl
| op(e4,e0) = e4 ),
inference(component_clause,[status(thm)],[f1567]) ).
fof(f1571,definition,
( sQ105_spl
<=> op(e4,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f1572,plain,
( ~ sQ105_spl
| op(e4,e1) = e0 ),
inference(component_clause,[status(thm)],[f1571]) ).
fof(f1580,definition,
( sQ108_spl
<=> op(e4,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f1581,plain,
( ~ sQ108_spl
| op(e4,e1) = e3 ),
inference(component_clause,[status(thm)],[f1580]) ).
fof(f1587,definition,
( sQ110_spl
<=> op(e4,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f1590,definition,
( sQ111_spl
<=> op(e4,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f1591,plain,
( ~ sQ111_spl
| op(e4,e2) = e1 ),
inference(component_clause,[status(thm)],[f1590]) ).
fof(f1593,definition,
( sQ112_spl
<=> op(e4,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f1596,definition,
( sQ113_spl
<=> op(e4,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f1597,plain,
( ~ sQ113_spl
| op(e4,e2) = e3 ),
inference(component_clause,[status(thm)],[f1596]) ).
fof(f1612,definition,
( sQ118_spl
<=> op(e4,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f1613,plain,
( ~ sQ118_spl
| op(e4,e3) = e3 ),
inference(component_clause,[status(thm)],[f1612]) ).
fof(f1615,definition,
( sQ119_spl
<=> op(e4,e3) = e4 ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f1616,plain,
( ~ sQ119_spl
| op(e4,e3) = e4 ),
inference(component_clause,[status(thm)],[f1615]) ).
fof(f1628,definition,
( sQ123_spl
<=> op(e4,e4) = e3 ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f1631,definition,
( sQ124_spl
<=> op(e4,e4) = e4 ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f1632,plain,
( ~ sQ124_spl
| op(e4,e4) = e4 ),
inference(component_clause,[status(thm)],[f1631]) ).
fof(f1635,definition,
( sQ125_spl
<=> unit = e0 ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f1636,plain,
( ~ sQ125_spl
| unit = e0 ),
inference(component_clause,[status(thm)],[f1635]) ).
fof(f1638,definition,
( sQ126_spl
<=> unit = e1 ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f1639,plain,
( ~ sQ126_spl
| unit = e1 ),
inference(component_clause,[status(thm)],[f1638]) ).
fof(f1641,definition,
( sQ127_spl
<=> unit = e2 ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f1642,plain,
( ~ sQ127_spl
| unit = e2 ),
inference(component_clause,[status(thm)],[f1641]) ).
fof(f1644,definition,
( sQ128_spl
<=> unit = e3 ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f1645,plain,
( ~ sQ128_spl
| unit = e3 ),
inference(component_clause,[status(thm)],[f1644]) ).
fof(f1647,definition,
( sQ129_spl
<=> unit = e4 ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f1648,plain,
( ~ sQ129_spl
| unit = e4 ),
inference(component_clause,[status(thm)],[f1647]) ).
fof(f1650,plain,
( sQ129_spl
| sQ128_spl
| sQ127_spl
| sQ126_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f44,f1635,f1638,f1641,f1644,f1647]) ).
fof(f1665,plain,
( sQ47_spl
| sQ42_spl
| sQ37_spl
| sQ32_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f59,f1321,f1337,f1353,f1369,f1385]) ).
fof(f1667,plain,
( sQ48_spl
| sQ43_spl
| sQ38_spl
| sQ33_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f61,f1324,f1340,f1356,f1372,f1388]) ).
fof(f1668,plain,
( sQ108_spl
| sQ83_spl
| sQ58_spl
| sQ33_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f62,f1260,f1340,f1420,f1500,f1580]) ).
fof(f1672,plain,
( sQ110_spl
| sQ85_spl
| sQ60_spl
| sQ35_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f66,f1267,f1347,f1427,f1507,f1587]) ).
fof(f1685,plain,
( sQ97_spl
| sQ92_spl
| sQ87_spl
| sQ82_spl
| sQ77_spl ),
inference(split_clause,[status(thm)],[f79,f1481,f1497,f1513,f1529,f1545]) ).
fof(f1701,definition,
( sQ130_spl
<=> sP0_prd ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f1740,plain,
( sQ98_spl
| ~ sQ94_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f248,f1701,f1535,f1548]) ).
fof(f1741,plain,
( ~ sQ129_spl
| ~ sQ94_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f249,f1701,f1535,f1647]) ).
fof(f1754,definition,
( sQ131_spl
<=> sP1_prd ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f1757,plain,
( sQ124_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f262,f1754,f1631]) ).
fof(f1760,definition,
( sQ132_spl
<=> sP2_prd ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f1763,definition,
( sQ133_spl
<=> sP3_prd ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f1766,plain,
( sQ133_spl
| sQ132_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f270,f1701,f1760,f1763]) ).
fof(f1772,definition,
( sQ134_spl
<=> sP4_prd ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f1775,plain,
( sQ123_spl
| sQ134_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f279,f1754,f1772,f1628]) ).
fof(f1780,definition,
( sQ135_spl
<=> sP5_prd ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f1783,definition,
( sQ136_spl
<=> sP6_prd ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f1786,plain,
( sQ136_spl
| sQ135_spl
| ~ sQ132_spl ),
inference(split_clause,[status(thm)],[f289,f1760,f1780,f1783]) ).
fof(f1792,definition,
( sQ137_spl
<=> sP7_prd ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f1795,plain,
( sQ137_spl
| ~ sQ133_spl ),
inference(split_clause,[status(thm)],[f298,f1763,f1792]) ).
fof(f1800,definition,
( sQ138_spl
<=> sP8_prd ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f1804,plain,
( sQ64_spl
| sQ138_spl
| ~ sQ134_spl ),
inference(split_clause,[status(thm)],[f307,f1772,f1800,f1439]) ).
fof(f1808,definition,
( sQ139_spl
<=> sP9_prd ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f1811,definition,
( sQ140_spl
<=> sP10_prd ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f1814,plain,
( sQ140_spl
| sQ139_spl
| ~ sQ135_spl ),
inference(split_clause,[status(thm)],[f316,f1780,f1808,f1811]) ).
fof(f1820,definition,
( sQ141_spl
<=> sP11_prd ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f1823,plain,
( sQ141_spl
| ~ sQ136_spl ),
inference(split_clause,[status(thm)],[f325,f1783,f1820]) ).
fof(f1828,definition,
( sQ142_spl
<=> sP12_prd ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f1831,plain,
( sQ142_spl
| ~ sQ137_spl ),
inference(split_clause,[status(thm)],[f333,f1792,f1828]) ).
fof(f1836,definition,
( sQ143_spl
<=> sP13_prd ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f1840,plain,
( sQ34_spl
| sQ143_spl
| ~ sQ138_spl ),
inference(split_clause,[status(thm)],[f342,f1800,f1836,f1343]) ).
fof(f1844,definition,
( sQ144_spl
<=> sP14_prd ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f1847,plain,
( sQ144_spl
| ~ sQ139_spl ),
inference(split_clause,[status(thm)],[f349,f1808,f1844]) ).
fof(f1852,definition,
( sQ145_spl
<=> sP15_prd ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f1855,plain,
( sQ145_spl
| ~ sQ140_spl ),
inference(split_clause,[status(thm)],[f357,f1811,f1852]) ).
fof(f1860,definition,
( sQ146_spl
<=> sP16_prd ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f1863,plain,
( sQ146_spl
| ~ sQ141_spl ),
inference(split_clause,[status(thm)],[f365,f1820,f1860]) ).
fof(f1868,definition,
( sQ147_spl
<=> sP17_prd ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f1871,plain,
( sQ147_spl
| ~ sQ142_spl ),
inference(split_clause,[status(thm)],[f373,f1828,f1868]) ).
fof(f1876,definition,
( sQ148_spl
<=> sP18_prd ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f1880,plain,
( sQ4_spl
| sQ148_spl
| ~ sQ143_spl ),
inference(split_clause,[status(thm)],[f382,f1836,f1876,f1247]) ).
fof(f1884,definition,
( sQ149_spl
<=> sP19_prd ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f1887,plain,
( sQ149_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f389,f1844,f1884]) ).
fof(f1892,definition,
( sQ150_spl
<=> sP20_prd ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f1895,plain,
( sQ150_spl
| ~ sQ145_spl ),
inference(split_clause,[status(thm)],[f397,f1852,f1892]) ).
fof(f1900,definition,
( sQ151_spl
<=> sP21_prd ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f1903,plain,
( sQ151_spl
| ~ sQ146_spl ),
inference(split_clause,[status(thm)],[f405,f1860,f1900]) ).
fof(f1908,definition,
( sQ152_spl
<=> sP22_prd ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f1911,plain,
( sQ152_spl
| ~ sQ147_spl ),
inference(split_clause,[status(thm)],[f413,f1868,f1908]) ).
fof(f1916,definition,
( sQ153_spl
<=> sP23_prd ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f1920,plain,
( sQ123_spl
| sQ153_spl
| ~ sQ148_spl ),
inference(split_clause,[status(thm)],[f422,f1876,f1916,f1628]) ).
fof(f1924,definition,
( sQ154_spl
<=> sP24_prd ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f1927,plain,
( sQ154_spl
| ~ sQ149_spl ),
inference(split_clause,[status(thm)],[f429,f1884,f1924]) ).
fof(f1932,definition,
( sQ155_spl
<=> sP25_prd ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f1935,plain,
( sQ155_spl
| ~ sQ150_spl ),
inference(split_clause,[status(thm)],[f437,f1892,f1932]) ).
fof(f1940,definition,
( sQ156_spl
<=> sP26_prd ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f1943,plain,
( sQ156_spl
| ~ sQ151_spl ),
inference(split_clause,[status(thm)],[f445,f1900,f1940]) ).
fof(f1948,definition,
( sQ157_spl
<=> sP27_prd ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f1951,plain,
( sQ157_spl
| ~ sQ152_spl ),
inference(split_clause,[status(thm)],[f453,f1908,f1948]) ).
fof(f1956,definition,
( sQ158_spl
<=> sP28_prd ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f1959,plain,
( sQ93_spl
| sQ158_spl
| ~ sQ153_spl ),
inference(split_clause,[status(thm)],[f461,f1916,f1956,f1532]) ).
fof(f1964,definition,
( sQ159_spl
<=> sP29_prd ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f1967,plain,
( sQ159_spl
| ~ sQ154_spl ),
inference(split_clause,[status(thm)],[f469,f1924,f1964]) ).
fof(f1972,definition,
( sQ160_spl
<=> sP30_prd ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f1975,plain,
( sQ160_spl
| ~ sQ155_spl ),
inference(split_clause,[status(thm)],[f477,f1932,f1972]) ).
fof(f1980,definition,
( sQ161_spl
<=> sP31_prd ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f1983,plain,
( sQ161_spl
| ~ sQ156_spl ),
inference(split_clause,[status(thm)],[f485,f1940,f1980]) ).
fof(f1988,definition,
( sQ162_spl
<=> sP32_prd ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f1991,plain,
( sQ162_spl
| ~ sQ157_spl ),
inference(split_clause,[status(thm)],[f493,f1948,f1988]) ).
fof(f1996,definition,
( sQ163_spl
<=> sP33_prd ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f1999,plain,
( sQ92_spl
| sQ163_spl
| ~ sQ158_spl ),
inference(split_clause,[status(thm)],[f501,f1956,f1996,f1529]) ).
fof(f2004,definition,
( sQ164_spl
<=> sP34_prd ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f2007,plain,
( sQ164_spl
| ~ sQ159_spl ),
inference(split_clause,[status(thm)],[f509,f1964,f2004]) ).
fof(f2012,definition,
( sQ165_spl
<=> sP35_prd ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f2015,plain,
( sQ165_spl
| ~ sQ160_spl ),
inference(split_clause,[status(thm)],[f517,f1972,f2012]) ).
fof(f2020,definition,
( sQ166_spl
<=> sP36_prd ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f2023,plain,
( sQ166_spl
| ~ sQ161_spl ),
inference(split_clause,[status(thm)],[f525,f1980,f2020]) ).
fof(f2028,definition,
( sQ167_spl
<=> sP37_prd ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f2031,plain,
( sQ167_spl
| ~ sQ162_spl ),
inference(split_clause,[status(thm)],[f533,f1988,f2028]) ).
fof(f2036,definition,
( sQ168_spl
<=> sP38_prd ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f2039,plain,
( sQ91_spl
| sQ168_spl
| ~ sQ163_spl ),
inference(split_clause,[status(thm)],[f541,f1996,f2036,f1526]) ).
fof(f2044,definition,
( sQ169_spl
<=> sP39_prd ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f2047,plain,
( sQ169_spl
| ~ sQ164_spl ),
inference(split_clause,[status(thm)],[f549,f2004,f2044]) ).
fof(f2052,definition,
( sQ170_spl
<=> sP40_prd ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f2055,plain,
( sQ170_spl
| ~ sQ165_spl ),
inference(split_clause,[status(thm)],[f557,f2012,f2052]) ).
fof(f2060,definition,
( sQ171_spl
<=> sP41_prd ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f2063,plain,
( sQ171_spl
| ~ sQ166_spl ),
inference(split_clause,[status(thm)],[f565,f2020,f2060]) ).
fof(f2068,definition,
( sQ172_spl
<=> sP42_prd ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f2071,plain,
( sQ172_spl
| ~ sQ167_spl ),
inference(split_clause,[status(thm)],[f573,f2028,f2068]) ).
fof(f2072,plain,
( sQ91_spl
| ~ sQ83_spl
| ~ sQ167_spl ),
inference(split_clause,[status(thm)],[f574,f2028,f1500,f1526]) ).
fof(f2076,definition,
( sQ173_spl
<=> sP43_prd ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f2079,plain,
( sQ90_spl
| sQ173_spl
| ~ sQ168_spl ),
inference(split_clause,[status(thm)],[f581,f2036,f2076,f1523]) ).
fof(f2084,definition,
( sQ174_spl
<=> sP44_prd ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f2087,plain,
( sQ174_spl
| ~ sQ169_spl ),
inference(split_clause,[status(thm)],[f589,f2044,f2084]) ).
fof(f2092,definition,
( sQ175_spl
<=> sP45_prd ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f2095,plain,
( sQ175_spl
| ~ sQ170_spl ),
inference(split_clause,[status(thm)],[f597,f2052,f2092]) ).
fof(f2096,plain,
( sQ82_spl
| ~ sQ86_spl
| ~ sQ170_spl ),
inference(split_clause,[status(thm)],[f598,f2052,f1510,f1497]) ).
fof(f2100,definition,
( sQ176_spl
<=> sP46_prd ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f2103,plain,
( sQ176_spl
| ~ sQ171_spl ),
inference(split_clause,[status(thm)],[f605,f2060,f2100]) ).
fof(f2108,definition,
( sQ177_spl
<=> sP47_prd ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f2111,plain,
( sQ177_spl
| ~ sQ172_spl ),
inference(split_clause,[status(thm)],[f613,f2068,f2108]) ).
fof(f2116,definition,
( sQ178_spl
<=> sP48_prd ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f2119,plain,
( sQ64_spl
| sQ178_spl
| ~ sQ173_spl ),
inference(split_clause,[status(thm)],[f621,f2076,f2116,f1439]) ).
fof(f2124,definition,
( sQ179_spl
<=> sP49_prd ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f2127,plain,
( sQ179_spl
| ~ sQ174_spl ),
inference(split_clause,[status(thm)],[f629,f2084,f2124]) ).
fof(f2132,definition,
( sQ180_spl
<=> sP50_prd ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f2135,plain,
( sQ180_spl
| ~ sQ175_spl ),
inference(split_clause,[status(thm)],[f637,f2092,f2132]) ).
fof(f2140,definition,
( sQ181_spl
<=> sP51_prd ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f2143,plain,
( sQ181_spl
| ~ sQ176_spl ),
inference(split_clause,[status(thm)],[f645,f2100,f2140]) ).
fof(f2144,plain,
( sQ85_spl
| ~ sQ77_spl
| ~ sQ176_spl ),
inference(split_clause,[status(thm)],[f646,f2100,f1481,f1507]) ).
fof(f2148,definition,
( sQ182_spl
<=> sP52_prd ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f2151,plain,
( sQ182_spl
| ~ sQ177_spl ),
inference(split_clause,[status(thm)],[f653,f2108,f2148]) ).
fof(f2156,definition,
( sQ183_spl
<=> sP53_prd ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f2160,plain,
( sQ92_spl
| sQ183_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f662,f2116,f2156,f1529]) ).
fof(f2164,definition,
( sQ184_spl
<=> sP54_prd ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f2167,plain,
( sQ184_spl
| ~ sQ179_spl ),
inference(split_clause,[status(thm)],[f669,f2124,f2164]) ).
fof(f2172,definition,
( sQ185_spl
<=> sP55_prd ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f2175,plain,
( sQ185_spl
| ~ sQ180_spl ),
inference(split_clause,[status(thm)],[f677,f2132,f2172]) ).
fof(f2180,definition,
( sQ186_spl
<=> sP56_prd ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f2183,plain,
( sQ186_spl
| ~ sQ181_spl ),
inference(split_clause,[status(thm)],[f685,f2140,f2180]) ).
fof(f2184,plain,
( sQ64_spl
| ~ sQ72_spl
| ~ sQ181_spl ),
inference(split_clause,[status(thm)],[f686,f2140,f1465,f1439]) ).
fof(f2188,definition,
( sQ187_spl
<=> sP57_prd ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f2191,plain,
( sQ187_spl
| ~ sQ182_spl ),
inference(split_clause,[status(thm)],[f693,f2148,f2188]) ).
fof(f2196,definition,
( sQ188_spl
<=> sP58_prd ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f2199,plain,
( sQ62_spl
| sQ188_spl
| ~ sQ183_spl ),
inference(split_clause,[status(thm)],[f701,f2156,f2196,f1433]) ).
fof(f2204,definition,
( sQ189_spl
<=> sP59_prd ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f2207,plain,
( sQ189_spl
| ~ sQ184_spl ),
inference(split_clause,[status(thm)],[f709,f2164,f2204]) ).
fof(f2212,definition,
( sQ190_spl
<=> sP60_prd ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f2215,plain,
( sQ190_spl
| ~ sQ185_spl ),
inference(split_clause,[status(thm)],[f717,f2172,f2212]) ).
fof(f2220,definition,
( sQ191_spl
<=> sP61_prd ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f2223,plain,
( sQ191_spl
| ~ sQ186_spl ),
inference(split_clause,[status(thm)],[f725,f2180,f2220]) ).
fof(f2232,plain,
( sQ67_spl
| ~ sQ63_spl
| ~ sQ187_spl ),
inference(split_clause,[status(thm)],[f734,f2188,f1436,f1449]) ).
fof(f2236,definition,
( sQ193_spl
<=> sP63_prd ),
introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).
fof(f2239,plain,
( sQ61_spl
| sQ193_spl
| ~ sQ188_spl ),
inference(split_clause,[status(thm)],[f741,f2196,f2236,f1430]) ).
fof(f2244,definition,
( sQ194_spl
<=> sP64_prd ),
introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).
fof(f2247,plain,
( sQ194_spl
| ~ sQ189_spl ),
inference(split_clause,[status(thm)],[f749,f2204,f2244]) ).
fof(f2252,definition,
( sQ195_spl
<=> sP65_prd ),
introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).
fof(f2255,plain,
( sQ195_spl
| ~ sQ190_spl ),
inference(split_clause,[status(thm)],[f757,f2212,f2252]) ).
fof(f2260,definition,
( sQ196_spl
<=> sP66_prd ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f2263,plain,
( sQ196_spl
| ~ sQ191_spl ),
inference(split_clause,[status(thm)],[f765,f2220,f2260]) ).
fof(f2276,definition,
( sQ198_spl
<=> sP68_prd ),
introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).
fof(f2279,plain,
( sQ60_spl
| sQ198_spl
| ~ sQ193_spl ),
inference(split_clause,[status(thm)],[f781,f2236,f2276,f1427]) ).
fof(f2284,definition,
( sQ199_spl
<=> sP69_prd ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f2287,plain,
( sQ199_spl
| ~ sQ194_spl ),
inference(split_clause,[status(thm)],[f789,f2244,f2284]) ).
fof(f2292,definition,
( sQ200_spl
<=> sP70_prd ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f2295,plain,
( sQ200_spl
| ~ sQ195_spl ),
inference(split_clause,[status(thm)],[f797,f2252,f2292]) ).
fof(f2300,definition,
( sQ201_spl
<=> sP71_prd ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f2303,plain,
( sQ201_spl
| ~ sQ196_spl ),
inference(split_clause,[status(thm)],[f805,f2260,f2300]) ).
fof(f2316,definition,
( sQ203_spl
<=> sP73_prd ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f2319,plain,
( sQ34_spl
| sQ203_spl
| ~ sQ198_spl ),
inference(split_clause,[status(thm)],[f821,f2276,f2316,f1343]) ).
fof(f2324,definition,
( sQ204_spl
<=> sP74_prd ),
introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition]) ).
fof(f2327,plain,
( sQ204_spl
| ~ sQ199_spl ),
inference(split_clause,[status(thm)],[f829,f2284,f2324]) ).
fof(f2332,definition,
( sQ205_spl
<=> sP75_prd ),
introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).
fof(f2335,plain,
( sQ205_spl
| ~ sQ200_spl ),
inference(split_clause,[status(thm)],[f837,f2292,f2332]) ).
fof(f2340,definition,
( sQ206_spl
<=> sP76_prd ),
introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition]) ).
fof(f2343,plain,
( sQ206_spl
| ~ sQ201_spl ),
inference(split_clause,[status(thm)],[f845,f2300,f2340]) ).
fof(f2356,definition,
( sQ208_spl
<=> sP78_prd ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f2359,plain,
( sQ33_spl
| sQ208_spl
| ~ sQ203_spl ),
inference(split_clause,[status(thm)],[f861,f2316,f2356,f1340]) ).
fof(f2364,definition,
( sQ209_spl
<=> sP79_prd ),
introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).
fof(f2367,plain,
( sQ209_spl
| ~ sQ204_spl ),
inference(split_clause,[status(thm)],[f869,f2324,f2364]) ).
fof(f2372,definition,
( sQ210_spl
<=> sP80_prd ),
introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).
fof(f2375,plain,
( sQ210_spl
| ~ sQ205_spl ),
inference(split_clause,[status(thm)],[f877,f2332,f2372]) ).
fof(f2380,definition,
( sQ211_spl
<=> sP81_prd ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f2383,plain,
( sQ211_spl
| ~ sQ206_spl ),
inference(split_clause,[status(thm)],[f885,f2340,f2380]) ).
fof(f2396,definition,
( sQ213_spl
<=> sP83_prd ),
introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).
fof(f2399,plain,
( sQ32_spl
| sQ213_spl
| ~ sQ208_spl ),
inference(split_clause,[status(thm)],[f901,f2356,f2396,f1337]) ).
fof(f2404,definition,
( sQ214_spl
<=> sP84_prd ),
introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition]) ).
fof(f2407,plain,
( sQ214_spl
| ~ sQ209_spl ),
inference(split_clause,[status(thm)],[f909,f2364,f2404]) ).
fof(f2416,plain,
( sQ34_spl
| ~ sQ46_spl
| ~ sQ210_spl ),
inference(split_clause,[status(thm)],[f918,f2372,f1382,f1343]) ).
fof(f2420,definition,
( sQ216_spl
<=> sP86_prd ),
introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition]) ).
fof(f2423,plain,
( sQ216_spl
| ~ sQ211_spl ),
inference(split_clause,[status(thm)],[f925,f2380,f2420]) ).
fof(f2424,plain,
( sQ38_spl
| ~ sQ42_spl
| ~ sQ211_spl ),
inference(split_clause,[status(thm)],[f926,f2380,f1369,f1356]) ).
fof(f2436,definition,
( sQ218_spl
<=> sP88_prd ),
introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition]) ).
fof(f2439,plain,
( sQ31_spl
| sQ218_spl
| ~ sQ213_spl ),
inference(split_clause,[status(thm)],[f941,f2396,f2436,f1334]) ).
fof(f2444,definition,
( sQ219_spl
<=> sP89_prd ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f2447,plain,
( sQ219_spl
| ~ sQ214_spl ),
inference(split_clause,[status(thm)],[f949,f2404,f2444]) ).
fof(f2460,definition,
( sQ221_spl
<=> sP91_prd ),
introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition]) ).
fof(f2463,plain,
( sQ221_spl
| ~ sQ216_spl ),
inference(split_clause,[status(thm)],[f965,f2420,f2460]) ).
fof(f2476,definition,
( sQ223_spl
<=> sP93_prd ),
introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition]) ).
fof(f2480,plain,
( sQ1_spl
| sQ223_spl
| ~ sQ218_spl ),
inference(split_clause,[status(thm)],[f982,f2436,f2476,f1238]) ).
fof(f2484,definition,
( sQ224_spl
<=> sP94_prd ),
introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition]) ).
fof(f2487,plain,
( sQ224_spl
| ~ sQ219_spl ),
inference(split_clause,[status(thm)],[f989,f2444,f2484]) ).
fof(f2500,definition,
( sQ226_spl
<=> sP96_prd ),
introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition]) ).
fof(f2503,plain,
( sQ226_spl
| ~ sQ221_spl ),
inference(split_clause,[status(thm)],[f1005,f2460,f2500]) ).
fof(f2516,definition,
( sQ228_spl
<=> sP98_prd ),
introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition]) ).
fof(f2519,plain,
( sQ4_spl
| sQ228_spl
| ~ sQ223_spl ),
inference(split_clause,[status(thm)],[f1021,f2476,f2516,f1247]) ).
fof(f2524,definition,
( sQ229_spl
<=> sP99_prd ),
introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition]) ).
fof(f2527,plain,
( sQ229_spl
| ~ sQ224_spl ),
inference(split_clause,[status(thm)],[f1029,f2484,f2524]) ).
fof(f2544,plain,
( sQ35_spl
| ~ sQ27_spl
| ~ sQ226_spl ),
inference(split_clause,[status(thm)],[f1046,f2500,f1321,f1347]) ).
fof(f2556,definition,
( sQ233_spl
<=> sP103_prd ),
introduced(definition,[new_symbols(definition,[sQ233_spl])],[split_symbol_definition]) ).
fof(f2560,plain,
( sQ90_spl
| sQ233_spl
| ~ sQ228_spl ),
inference(split_clause,[status(thm)],[f1062,f2516,f2556,f1523]) ).
fof(f2564,definition,
( sQ234_spl
<=> sP104_prd ),
introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition]) ).
fof(f2568,plain,
( sQ26_spl
| ~ sQ30_spl
| ~ sQ229_spl ),
inference(split_clause,[status(thm)],[f1070,f2524,f1331,f1318]) ).
fof(f2569,plain,
( ~ sQ125_spl
| ~ sQ30_spl
| ~ sQ229_spl ),
inference(split_clause,[status(thm)],[f1071,f2524,f1331,f1635]) ).
fof(f2580,definition,
( sQ236_spl
<=> sP106_prd ),
introduced(definition,[new_symbols(definition,[sQ236_spl])],[split_symbol_definition]) ).
fof(f2596,definition,
( sQ238_spl
<=> sP108_prd ),
introduced(definition,[new_symbols(definition,[sQ238_spl])],[split_symbol_definition]) ).
fof(f2600,plain,
( sQ60_spl
| sQ238_spl
| ~ sQ233_spl ),
inference(split_clause,[status(thm)],[f1102,f2556,f2596,f1427]) ).
fof(f2604,definition,
( sQ239_spl
<=> sP109_prd ),
introduced(definition,[new_symbols(definition,[sQ239_spl])],[split_symbol_definition]) ).
fof(f2607,plain,
( sQ239_spl
| ~ sQ234_spl ),
inference(split_clause,[status(thm)],[f1109,f2564,f2604]) ).
fof(f2620,definition,
( sQ241_spl
<=> sP111_prd ),
introduced(definition,[new_symbols(definition,[sQ241_spl])],[split_symbol_definition]) ).
fof(f2626,plain,
( sQ17_spl
| ~ sQ241_spl
| sQ236_spl ),
inference(split_clause,[status(thm)],[f1128,f2580,f2620,f1289]) ).
fof(f2636,definition,
( sQ243_spl
<=> sP113_prd ),
introduced(definition,[new_symbols(definition,[sQ243_spl])],[split_symbol_definition]) ).
fof(f2639,plain,
( sQ1_spl
| sQ243_spl
| ~ sQ238_spl ),
inference(split_clause,[status(thm)],[f1141,f2596,f2636,f1238]) ).
fof(f2644,definition,
( sQ244_spl
<=> sP114_prd ),
introduced(definition,[new_symbols(definition,[sQ244_spl])],[split_symbol_definition]) ).
fof(f2647,plain,
( sQ244_spl
| ~ sQ239_spl ),
inference(split_clause,[status(thm)],[f1149,f2604,f2644]) ).
fof(f2652,definition,
( sQ245_spl
<=> sP115_prd ),
introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition]) ).
fof(f2660,definition,
( sQ246_spl
<=> sP116_prd ),
introduced(definition,[new_symbols(definition,[sQ246_spl])],[split_symbol_definition]) ).
fof(f2667,plain,
( sQ127_spl
| ~ sQ12_spl
| ~ sQ246_spl
| sQ241_spl ),
inference(split_clause,[status(thm)],[f1169,f2620,f2660,f1273,f1641]) ).
fof(f2678,plain,
( ~ sQ0_spl
| ~ sQ243_spl ),
inference(split_clause,[status(thm)],[f1182,f2636,f1235]) ).
fof(f2680,definition,
( sQ247_spl
<=> sP117_prd ),
introduced(definition,[new_symbols(definition,[sQ247_spl])],[split_symbol_definition]) ).
fof(f2683,plain,
( sQ247_spl
| ~ sQ244_spl ),
inference(split_clause,[status(thm)],[f1187,f2644,f2680]) ).
fof(f2688,definition,
( sQ248_spl
<=> sP118_prd ),
introduced(definition,[new_symbols(definition,[sQ248_spl])],[split_symbol_definition]) ).
fof(f2694,plain,
( sQ11_spl
| ~ sQ248_spl
| sQ245_spl ),
inference(split_clause,[status(thm)],[f1198,f2652,f2688,f1270]) ).
fof(f2700,plain,
( sQ7_spl
| sQ2_spl
| sQ246_spl ),
inference(split_clause,[status(thm)],[f1205,f2660,f1241,f1257]) ).
fof(f2704,definition,
( sQ249_spl
<=> sP119_prd ),
introduced(definition,[new_symbols(definition,[sQ249_spl])],[split_symbol_definition]) ).
fof(f2707,plain,
( sQ249_spl
| ~ sQ247_spl ),
inference(split_clause,[status(thm)],[f1212,f2680,f2704]) ).
fof(f2717,plain,
( sQ126_spl
| ~ sQ6_spl
| sQ1_spl
| sQ248_spl ),
inference(split_clause,[status(thm)],[f1223,f2688,f1238,f1254,f1638]) ).
fof(f2721,plain,
( ~ sQ125_spl
| ~ sQ0_spl
| ~ sQ249_spl ),
inference(split_clause,[status(thm)],[f1228,f2704,f1235,f1635]) ).
fof(f2734,plain,
( ~ sQ127_spl
| op(e2,e2) = e2 ),
inference(backward_demodulation,[status(thm)],[f1642,f39]) ).
fof(f2748,plain,
e3 != op(e4,e2),
inference(backward_demodulation,[status(thm)],[f207,f123]) ).
fof(f2750,plain,
op(e1,e2) != e3,
inference(backward_demodulation,[status(thm)],[f207,f119]) ).
fof(f2751,plain,
op(e0,e2) != e3,
inference(backward_demodulation,[status(thm)],[f207,f116]) ).
fof(f2757,plain,
( ~ sQ61_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f207,f1431]) ).
fof(f2758,plain,
( ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2757,f200]) ).
fof(f2759,plain,
~ sQ61_spl,
inference(contradiction_clause,[status(thm)],[f2758]) ).
fof(f2760,plain,
( ~ sQ60_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f207,f1428]) ).
fof(f2761,plain,
( ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2760,f197]) ).
fof(f2762,plain,
~ sQ60_spl,
inference(contradiction_clause,[status(thm)],[f2761]) ).
fof(f2765,plain,
( ~ sQ62_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f207,f1434]) ).
fof(f2766,plain,
( ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2765,f202]) ).
fof(f2767,plain,
~ sQ62_spl,
inference(contradiction_clause,[status(thm)],[f2766]) ).
fof(f2775,plain,
( ~ sQ127_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f2734,f1433,f1641]) ).
fof(f2778,plain,
( ~ sQ64_spl
| e3 = e4 ),
inference(forward_demodulation,[status(thm)],[f207,f1440]) ).
fof(f2779,plain,
( ~ sQ64_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2778,f204]) ).
fof(f2780,plain,
~ sQ64_spl,
inference(contradiction_clause,[status(thm)],[f2779]) ).
fof(f2792,plain,
( ~ sQ20_spl
| op(e0,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f1300,f148]) ).
fof(f2814,plain,
( ~ sQ20_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f2792,f1235,f1299]) ).
fof(f2817,plain,
( ~ sQ45_spl
| op(e1,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f1380,f161]) ).
fof(f2823,plain,
( ~ sQ45_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f2817,f1331,f1379]) ).
fof(f2824,plain,
op(e2,e0) != e3,
inference(forward_demodulation,[status(thm)],[f207,f166]) ).
fof(f2843,plain,
op(e2,e1) != e3,
inference(forward_demodulation,[status(thm)],[f207,f169]) ).
fof(f2844,plain,
e3 != op(e2,e3),
inference(forward_demodulation,[status(thm)],[f207,f172]) ).
fof(f2845,plain,
e3 != op(e2,e4),
inference(forward_demodulation,[status(thm)],[f207,f173]) ).
fof(f2861,plain,
( ~ sQ12_spl
| e2 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f1274,f152]) ).
fof(f2862,plain,
( ~ sQ12_spl
| op(e0,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f1274,f149]) ).
fof(f2863,plain,
( ~ sQ12_spl
| op(e0,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f1274,f146]) ).
fof(f2864,plain,
( ~ sQ12_spl
| e2 != op(e4,e2) ),
inference(backward_demodulation,[status(thm)],[f1274,f118]) ).
fof(f2866,plain,
( ~ sQ12_spl
| e2 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f1274,f115]) ).
fof(f2867,plain,
( ~ sQ12_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f2861,f1289,f1273]) ).
fof(f2868,plain,
( ~ sQ12_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f2863,f1241,f1273]) ).
fof(f2870,plain,
( ~ sQ68_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1453,f2844]) ).
fof(f2871,plain,
~ sQ68_spl,
inference(contradiction_clause,[status(thm)],[f2870]) ).
fof(f2886,plain,
( ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1405,f2824]) ).
fof(f2887,plain,
~ sQ53_spl,
inference(contradiction_clause,[status(thm)],[f2886]) ).
fof(f2890,plain,
e0 = op(op(e3,e2),op(op(e2,e2),e2)),
inference(forward_demodulation,[status(thm)],[f207,f205]) ).
fof(f2891,plain,
e0 = op(op(e3,e2),op(e3,e2)),
inference(forward_demodulation,[status(thm)],[f207,f2890]) ).
fof(f2892,plain,
e0 = op(op(e3,e2),e1),
inference(backward_demodulation,[status(thm)],[f2899,f2891]) ).
fof(f2893,plain,
e1 != op(e3,e4),
inference(backward_demodulation,[status(thm)],[f2899,f183]) ).
fof(f2895,plain,
op(e3,e1) != e1,
inference(backward_demodulation,[status(thm)],[f2899,f179]) ).
fof(f2896,plain,
op(e3,e0) != e1,
inference(backward_demodulation,[status(thm)],[f2899,f176]) ).
fof(f2897,plain,
e1 != op(e4,e2),
inference(backward_demodulation,[status(thm)],[f2899,f124]) ).
fof(f2898,plain,
op(e1,e2) != e1,
inference(backward_demodulation,[status(thm)],[f2899,f120]) ).
fof(f2899,plain,
e1 = op(e3,e2),
inference(forward_demodulation,[status(thm)],[f207,f206]) ).
fof(f2900,plain,
e0 = op(e1,e1),
inference(forward_demodulation,[status(thm)],[f2899,f2892]) ).
fof(f2901,plain,
e4 = op(e3,op(e2,e2)),
inference(forward_demodulation,[status(thm)],[f207,f208]) ).
fof(f2902,plain,
e4 != op(e3,e4),
inference(backward_demodulation,[status(thm)],[f2907,f184]) ).
fof(f2903,plain,
op(e3,e1) != e4,
inference(backward_demodulation,[status(thm)],[f2907,f180]) ).
fof(f2904,plain,
op(e3,e0) != e4,
inference(backward_demodulation,[status(thm)],[f2907,f177]) ).
fof(f2905,plain,
e4 != op(e4,e3),
inference(backward_demodulation,[status(thm)],[f2907,f134]) ).
fof(f2907,plain,
e4 = op(e3,e3),
inference(forward_demodulation,[status(thm)],[f207,f2901]) ).
fof(f2908,plain,
( ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1421,f2843]) ).
fof(f2909,plain,
~ sQ58_spl,
inference(contradiction_clause,[status(thm)],[f2908]) ).
fof(f2918,plain,
( ~ sQ83_spl
| e3 != op(e3,e4) ),
inference(backward_demodulation,[status(thm)],[f1501,f181]) ).
fof(f2922,plain,
( ~ sQ83_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f2918,f1548,f1500]) ).
fof(f2923,plain,
( ~ sQ93_spl
| e4 = e3 ),
inference(forward_demodulation,[status(thm)],[f2907,f1533]) ).
fof(f2924,plain,
( ~ sQ93_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2923,f204]) ).
fof(f2925,plain,
~ sQ93_spl,
inference(contradiction_clause,[status(thm)],[f2924]) ).
fof(f2929,plain,
( ~ sQ105_spl
| e0 != op(e4,e2) ),
inference(backward_demodulation,[status(thm)],[f1572,f189]) ).
fof(f2941,plain,
( ~ sQ124_spl
| op(e4,e0) != e4 ),
inference(backward_demodulation,[status(thm)],[f1632,f188]) ).
fof(f2957,plain,
( ~ sQ126_spl
| op(e1,e1) = e1 ),
inference(forward_demodulation,[status(thm)],[f1639,f37]) ).
fof(f2972,plain,
( sQ94_spl
| e4 != e4 ),
inference(forward_demodulation,[status(thm)],[f2907,f1537]) ).
fof(f2973,plain,
( sQ94_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2972]) ).
fof(f2974,plain,
sQ94_spl,
inference(contradiction_clause,[status(thm)],[f2973]) ).
fof(f2980,plain,
( ~ sQ126_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f2957,f1334,f1638]) ).
fof(f2986,plain,
( ~ sQ91_spl
| e4 = e1 ),
inference(forward_demodulation,[status(thm)],[f2907,f1527]) ).
fof(f2987,plain,
( ~ sQ91_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2986,f201]) ).
fof(f2988,plain,
~ sQ91_spl,
inference(contradiction_clause,[status(thm)],[f2987]) ).
fof(f2994,plain,
( ~ sQ92_spl
| e4 = e2 ),
inference(forward_demodulation,[status(thm)],[f2907,f1530]) ).
fof(f2995,plain,
( ~ sQ92_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2994,f203]) ).
fof(f2996,plain,
~ sQ92_spl,
inference(contradiction_clause,[status(thm)],[f2995]) ).
fof(f2997,plain,
( sQ86_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f2899,f1512]) ).
fof(f2998,plain,
( sQ86_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2997]) ).
fof(f2999,plain,
sQ86_spl,
inference(contradiction_clause,[status(thm)],[f2998]) ).
fof(f3006,plain,
( ~ sQ113_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1597,f2748]) ).
fof(f3007,plain,
~ sQ113_spl,
inference(contradiction_clause,[status(thm)],[f3006]) ).
fof(f3018,plain,
( ~ sQ47_spl
| e2 != op(e3,e4) ),
inference(forward_demodulation,[status(thm)],[f1386,f140]) ).
fof(f3019,plain,
( ~ sQ47_spl
| ~ sQ97_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f1546,f3018]) ).
fof(f3020,plain,
( ~ sQ47_spl
| ~ sQ97_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3019]) ).
fof(f3021,plain,
( ~ sQ47_spl
| ~ sQ97_spl ),
inference(contradiction_clause,[status(thm)],[f3020]) ).
fof(f3031,plain,
( ~ sQ56_spl
| op(e0,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f1415,f106]) ).
fof(f3032,plain,
( ~ sQ56_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f3031,f1254,f1414]) ).
fof(f3038,plain,
( ~ sQ88_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f2899,f1517]) ).
fof(f3039,plain,
( ~ sQ88_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3038,f200]) ).
fof(f3040,plain,
~ sQ88_spl,
inference(contradiction_clause,[status(thm)],[f3039]) ).
fof(f3045,plain,
( ~ sQ6_spl
| op(e0,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f1255,f145]) ).
fof(f3049,plain,
( ~ sQ6_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f3045,f1238,f1254]) ).
fof(f3055,plain,
( ~ sQ48_spl
| ~ sQ46_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f1383,f1389]) ).
fof(f3056,plain,
( ~ sQ48_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3055,f200]) ).
fof(f3057,plain,
( ~ sQ48_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f3056]) ).
fof(f3063,plain,
( ~ sQ85_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f2899,f1508]) ).
fof(f3064,plain,
( ~ sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3063,f195]) ).
fof(f3065,plain,
~ sQ85_spl,
inference(contradiction_clause,[status(thm)],[f3064]) ).
fof(f3074,plain,
( ~ sQ90_spl
| e4 = e0 ),
inference(forward_demodulation,[status(thm)],[f2907,f1524]) ).
fof(f3075,plain,
( ~ sQ90_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3074,f198]) ).
fof(f3076,plain,
~ sQ90_spl,
inference(contradiction_clause,[status(thm)],[f3075]) ).
fof(f3082,plain,
( ~ sQ87_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f2899,f1514]) ).
fof(f3083,plain,
( ~ sQ87_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3082,f199]) ).
fof(f3084,plain,
~ sQ87_spl,
inference(contradiction_clause,[status(thm)],[f3083]) ).
fof(f3086,plain,
op(e0,e2) != e1,
inference(forward_demodulation,[status(thm)],[f2899,f117]) ).
fof(f3087,plain,
op(e0,e3) != e4,
inference(forward_demodulation,[status(thm)],[f2907,f127]) ).
fof(f3095,plain,
e0 != op(e2,e1),
inference(backward_demodulation,[status(thm)],[f2900,f109]) ).
fof(f3097,plain,
op(e1,e0) != e0,
inference(backward_demodulation,[status(thm)],[f2900,f155]) ).
fof(f3098,plain,
e0 != op(e1,e2),
inference(backward_demodulation,[status(thm)],[f2900,f159]) ).
fof(f3099,plain,
e0 != op(e1,e3),
inference(backward_demodulation,[status(thm)],[f2900,f160]) ).
fof(f3102,plain,
( ~ sQ118_spl
| op(e1,e3) != e3 ),
inference(forward_demodulation,[status(thm)],[f1613,f131]) ).
fof(f3104,plain,
op(e1,e3) != e4,
inference(forward_demodulation,[status(thm)],[f2907,f130]) ).
fof(f3105,plain,
( ~ sQ125_spl
| e0 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f3110,f147]) ).
fof(f3106,plain,
( ~ sQ125_spl
| e0 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f3110,f146]) ).
fof(f3108,plain,
( ~ sQ125_spl
| e0 != op(e4,e0) ),
inference(backward_demodulation,[status(thm)],[f3110,f98]) ).
fof(f3109,plain,
( ~ sQ125_spl
| e0 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f3110,f96]) ).
fof(f3110,plain,
( ~ sQ125_spl
| op(e0,e0) = e0 ),
inference(forward_demodulation,[status(thm)],[f1636,f34]) ).
fof(f3111,plain,
( ~ sQ125_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f3106,f1267,f1635]) ).
fof(f3112,plain,
( ~ sQ125_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f3109,f1395,f1635]) ).
fof(f3114,plain,
( ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1296,f3087]) ).
fof(f3115,plain,
~ sQ19_spl,
inference(contradiction_clause,[status(thm)],[f3114]) ).
fof(f3116,plain,
( ~ sQ34_spl
| e0 = e4 ),
inference(forward_demodulation,[status(thm)],[f2900,f1344]) ).
fof(f3117,plain,
( ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3116,f198]) ).
fof(f3118,plain,
~ sQ34_spl,
inference(contradiction_clause,[status(thm)],[f3117]) ).
fof(f3129,plain,
( ~ sQ125_spl
| op(e0,e1) = e1 ),
inference(forward_demodulation,[status(thm)],[f1636,f36]) ).
fof(f3133,plain,
( ~ sQ111_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1591,f2897]) ).
fof(f3134,plain,
~ sQ111_spl,
inference(contradiction_clause,[status(thm)],[f3133]) ).
fof(f3135,plain,
( ~ sQ9_spl
| ~ sQ125_spl
| e1 = e4 ),
inference(forward_demodulation,[status(thm)],[f3129,f1264]) ).
fof(f3136,plain,
( ~ sQ9_spl
| ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3135,f201]) ).
fof(f3137,plain,
( ~ sQ9_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f3136]) ).
fof(f3139,plain,
( ~ sQ12_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f2864,f1593,f1273]) ).
fof(f3140,plain,
( ~ sQ31_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f2900,f1335]) ).
fof(f3141,plain,
( ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3140,f195]) ).
fof(f3142,plain,
~ sQ31_spl,
inference(contradiction_clause,[status(thm)],[f3141]) ).
fof(f3143,plain,
( ~ sQ99_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1552,f2902]) ).
fof(f3144,plain,
~ sQ99_spl,
inference(contradiction_clause,[status(thm)],[f3143]) ).
fof(f3147,plain,
( ~ sQ8_spl
| ~ sQ125_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f3129,f1261]) ).
fof(f3148,plain,
( ~ sQ8_spl
| ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3147,f200]) ).
fof(f3149,plain,
( ~ sQ8_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f3148]) ).
fof(f3150,plain,
( ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1277,f2751]) ).
fof(f3151,plain,
~ sQ13_spl,
inference(contradiction_clause,[status(thm)],[f3150]) ).
fof(f3152,plain,
( ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1271,f3086]) ).
fof(f3153,plain,
~ sQ11_spl,
inference(contradiction_clause,[status(thm)],[f3152]) ).
fof(f3154,plain,
( ~ sQ125_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f3110,f1235,f1635]) ).
fof(f3155,plain,
( ~ sQ125_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f3105,f1283,f1635]) ).
fof(f3157,plain,
( ~ sQ125_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f3108,f1555,f1635]) ).
fof(f3158,plain,
( ~ sQ125_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f3129,f1254,f1635]) ).
fof(f3159,plain,
( ~ sQ84_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1504,f2903]) ).
fof(f3160,plain,
~ sQ84_spl,
inference(contradiction_clause,[status(thm)],[f3159]) ).
fof(f3161,plain,
( ~ sQ79_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1488,f2904]) ).
fof(f3162,plain,
~ sQ79_spl,
inference(contradiction_clause,[status(thm)],[f3161]) ).
fof(f3165,plain,
( ~ sQ105_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f2929,f1587,f1571]) ).
fof(f3171,plain,
( ~ sQ129_spl
| op(e4,e3) = e3 ),
inference(backward_demodulation,[status(thm)],[f1648,f40]) ).
fof(f3172,plain,
( ~ sQ129_spl
| op(e2,e4) = e2 ),
inference(backward_demodulation,[status(thm)],[f1648,f39]) ).
fof(f3174,plain,
( ~ sQ129_spl
| op(e1,e4) = e1 ),
inference(backward_demodulation,[status(thm)],[f1648,f37]) ).
fof(f3175,plain,
( ~ sQ129_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f3171,f1612,f1647]) ).
fof(f3176,plain,
( ~ sQ129_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f3172,f1465,f1647]) ).
fof(f3178,plain,
( ~ sQ129_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f3174,f1382,f1647]) ).
fof(f3179,plain,
( ~ sQ89_spl
| e1 = e4 ),
inference(forward_demodulation,[status(thm)],[f2899,f1520]) ).
fof(f3180,plain,
( ~ sQ89_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3179,f201]) ).
fof(f3181,plain,
~ sQ89_spl,
inference(contradiction_clause,[status(thm)],[f3180]) ).
fof(f3186,plain,
( ~ sQ67_spl
| e2 != op(e2,e4) ),
inference(backward_demodulation,[status(thm)],[f1450,f174]) ).
fof(f3209,plain,
( ~ sQ49_spl
| op(e1,e2) != e4 ),
inference(backward_demodulation,[status(thm)],[f1392,f163]) ).
fof(f3213,plain,
( ~ sQ49_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f3209,f1359,f1391]) ).
fof(f3220,plain,
( ~ sQ118_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f3102,f1372,f1612]) ).
fof(f3226,plain,
( ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1376,f3104]) ).
fof(f3227,plain,
~ sQ44_spl,
inference(contradiction_clause,[status(thm)],[f3226]) ).
fof(f3228,plain,
( ~ sQ83_spl
| ~ sQ82_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f1498,f1501]) ).
fof(f3229,plain,
( ~ sQ83_spl
| ~ sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3228,f202]) ).
fof(f3230,plain,
( ~ sQ83_spl
| ~ sQ82_spl ),
inference(contradiction_clause,[status(thm)],[f3229]) ).
fof(f3231,plain,
( ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1357,f2750]) ).
fof(f3232,plain,
~ sQ38_spl,
inference(contradiction_clause,[status(thm)],[f3231]) ).
fof(f3235,plain,
( ~ sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1469,f2845]) ).
fof(f3236,plain,
~ sQ73_spl,
inference(contradiction_clause,[status(thm)],[f3235]) ).
fof(f3237,plain,
op(e0,e1) != e0,
inference(forward_demodulation,[status(thm)],[f2900,f105]) ).
fof(f3258,plain,
( ~ sQ33_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f2900,f1341]) ).
fof(f3259,plain,
( ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3258,f197]) ).
fof(f3260,plain,
~ sQ33_spl,
inference(contradiction_clause,[status(thm)],[f3259]) ).
fof(f3264,plain,
( ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1348,f3098]) ).
fof(f3265,plain,
~ sQ35_spl,
inference(contradiction_clause,[status(thm)],[f3264]) ).
fof(f3267,plain,
( ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1364,f3099]) ).
fof(f3268,plain,
~ sQ40_spl,
inference(contradiction_clause,[status(thm)],[f3267]) ).
fof(f3270,plain,
( ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1316,f3097]) ).
fof(f3271,plain,
~ sQ25_spl,
inference(contradiction_clause,[status(thm)],[f3270]) ).
fof(f3272,plain,
( ~ sQ76_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1479,f2896]) ).
fof(f3273,plain,
~ sQ76_spl,
inference(contradiction_clause,[status(thm)],[f3272]) ).
fof(f3277,plain,
( ~ sQ32_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f2900,f1338]) ).
fof(f3278,plain,
( ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3277,f196]) ).
fof(f3279,plain,
~ sQ32_spl,
inference(contradiction_clause,[status(thm)],[f3278]) ).
fof(f3284,plain,
( ~ sQ67_spl
| ~ sQ72_spl ),
inference(split_clause,[status(thm)],[f3186,f1465,f1449]) ).
fof(f3285,plain,
( ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1252,f3237]) ).
fof(f3286,plain,
~ sQ5_spl,
inference(contradiction_clause,[status(thm)],[f3285]) ).
fof(f3290,plain,
( ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1412,f3095]) ).
fof(f3291,plain,
~ sQ55_spl,
inference(contradiction_clause,[status(thm)],[f3290]) ).
fof(f3292,plain,
( ~ sQ104_spl
| op(e0,e0) != e4 ),
inference(backward_demodulation,[status(thm)],[f1568,f98]) ).
fof(f3299,plain,
( ~ sQ104_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f3292,f1247,f1567]) ).
fof(f3301,plain,
( ~ sQ75_spl
| op(e0,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f1476,f97]) ).
fof(f3306,plain,
( ~ sQ75_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f3301,f1235,f1475]) ).
fof(f3312,plain,
( ~ sQ125_spl
| op(e0,e2) = e2 ),
inference(backward_demodulation,[status(thm)],[f1636,f38]) ).
fof(f3317,plain,
( ~ sQ125_spl
| op(e4,e0) = e4 ),
inference(backward_demodulation,[status(thm)],[f1636,f43]) ).
fof(f3320,plain,
( ~ sQ125_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f3312,f1273,f1635]) ).
fof(f3321,plain,
( ~ sQ125_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f3317,f1567,f1635]) ).
fof(f3322,plain,
( ~ sQ12_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f2866,f1353,f1273]) ).
fof(f3323,plain,
( ~ sQ124_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f2941,f1567,f1631]) ).
fof(f3398,plain,
( ~ sQ108_spl
| e3 != op(e4,e4) ),
inference(backward_demodulation,[status(thm)],[f1581,f191]) ).
fof(f3399,plain,
( ~ sQ108_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f3398,f1628,f1580]) ).
fof(f3409,plain,
( ~ sQ28_spl
| ~ sQ26_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f1319,f1325]) ).
fof(f3410,plain,
( ~ sQ28_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3409,f200]) ).
fof(f3411,plain,
( ~ sQ28_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f3410]) ).
fof(f3431,plain,
( ~ sQ12_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f2862,f1257,f1273]) ).
fof(f3434,plain,
( ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1351,f2898]) ).
fof(f3435,plain,
~ sQ36_spl,
inference(contradiction_clause,[status(thm)],[f3434]) ).
fof(f3437,plain,
( ~ sQ96_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1543,f2893]) ).
fof(f3438,plain,
~ sQ96_spl,
inference(contradiction_clause,[status(thm)],[f3437]) ).
fof(f3443,plain,
( ~ sQ119_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1616,f2905]) ).
fof(f3444,plain,
~ sQ119_spl,
inference(contradiction_clause,[status(thm)],[f3443]) ).
fof(f3452,plain,
( ~ sQ128_spl
| op(e3,e1) = e1 ),
inference(forward_demodulation,[status(thm)],[f1645,f36]) ).
fof(f3453,plain,
( ~ sQ128_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3452,f2895]) ).
fof(f3454,plain,
~ sQ128_spl,
inference(contradiction_clause,[status(thm)],[f3453]) ).
fof(f3455,plain,
$false,
inference(sat_refutation,[status(thm)],[f1346,f1362,f1442,f1650,f1665,f1667,f1668,f1672,f1685,f1740,f1741,f1757,f1766,f1775,f1786,f1795,f1804,f1814,f1823,f1831,f1840,f1847,f1855,f1863,f1871,f1880,f1887,f1895,f1903,f1911,f1920,f1927,f1935,f1943,f1951,f1959,f1967,f1975,f1983,f1991,f1999,f2007,f2015,f2023,f2031,f2039,f2047,f2055,f2063,f2071,f2072,f2079,f2087,f2095,f2096,f2103,f2111,f2119,f2127,f2135,f2143,f2144,f2151,f2160,f2167,f2175,f2183,f2184,f2191,f2199,f2207,f2215,f2223,f2232,f2239,f2247,f2255,f2263,f2279,f2287,f2295,f2303,f2319,f2327,f2335,f2343,f2359,f2367,f2375,f2383,f2399,f2407,f2416,f2423,f2424,f2439,f2447,f2463,f2480,f2487,f2503,f2519,f2527,f2544,f2560,f2568,f2569,f2600,f2607,f2626,f2639,f2647,f2667,f2678,f2683,f2694,f2700,f2707,f2717,f2721,f2759,f2762,f2767,f2775,f2780,f2814,f2823,f2867,f2868,f2871,f2887,f2909,f2922,f2925,f2974,f2980,f2988,f2996,f2999,f3007,f3021,f3032,f3040,f3049,f3057,f3065,f3076,f3084,f3111,f3112,f3115,f3118,f3134,f3137,f3139,f3142,f3144,f3149,f3151,f3153,f3154,f3155,f3157,f3158,f3160,f3162,f3165,f3175,f3176,f3178,f3181,f3213,f3220,f3227,f3230,f3232,f3236,f3260,f3265,f3268,f3271,f3273,f3279,f3284,f3286,f3291,f3299,f3306,f3320,f3321,f3322,f3323,f3399,f3411,f3431,f3435,f3438,f3444,f3454]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG058+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.53 % Computer : n020.cluster.edu
% 0.08/0.53 % Model : x86_64 x86_64
% 0.08/0.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.53 % Memory : 8046.5625MB
% 0.08/0.53 % OS : Linux 6.8.0-71-generic
% 0.08/0.53 % CPULimit : 300
% 0.08/0.53 % WCLimit : 300
% 0.08/0.53 % DateTime : Mon Sep 21 12:55:48 UTC 2026
% 0.08/0.53 % CPUTime :
% 0.08/0.55 % Drodi V4.1.1
% 0.12/0.78 % Refutation found
% 0.12/0.78 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.78 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.81 % Elapsed time: 0.261453 seconds
% 0.12/0.81 % CPU time: 1.763591 seconds
% 0.12/0.81 % Total memory used: 156.732 MB
% 0.12/0.81 % Net memory used: 155.922 MB
%------------------------------------------------------------------------------