%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG163+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 11:48:43 AM UTC 2026
% Result : Unsatisfiable 7.14s 1.57s
% Output : CNFRefutation 7.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 193
% Syntax : Number of formulae : 1945 ( 55 unt; 164 def)
% Number of atoms : 7701 (3828 equ)
% Maximal formula atoms : 192 ( 3 avg)
% Number of connectives : 10658 (4902 ~;3698 |;1866 &)
% ( 192 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 166 ( 164 usr; 165 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 )
& ( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 )
& ( op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 )
& ( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 )
& ( op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 )
& ( op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 )
& ( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 )
& ( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 )
& ( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 )
& ( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 )
& ( op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 )
& ( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 )
& ( op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 )
& ( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 )
& ( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 )
& ( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
( ( op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 )
& ( op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 )
& ( op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 )
& ( op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 )
& ( op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 )
& ( op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 )
& ( op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 )
& ( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 )
& ( op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 )
& ( op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 )
& ( op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 )
& ( op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 )
& ( op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 )
& ( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 )
& ( op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 )
& ( op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 )
& ( op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 )
& ( op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 )
& ( op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 )
& ( op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 )
& ( op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 )
& ( op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 )
& ( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 )
& ( op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 )
& ( op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 )
& ( op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 )
& ( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 )
& ( op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 )
& ( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 )
& ( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 )
& ( op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 )
& ( op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
( op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( e2 != e3
& e1 != e3
& e1 != e2
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( ( ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e3,e3) != e3
& op(e3,e3) = e3 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) )
& ( ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e3,e3) != e3
& op(e3,e3) = e3 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e3,e2) != e3
& op(e3,e3) = e2 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e3,e1) != e3
& op(e3,e3) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e3,e0) != e3
& op(e3,e3) = e0 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e2,e3) != e2
& op(e2,e2) = e3 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e2,e1) != e2
& op(e2,e2) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e2,e0) != e2
& op(e2,e2) = e0 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e1,e3) != e1
& op(e1,e1) = e3 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e1,e2) != e1
& op(e1,e1) = e2 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e0) != e1
& op(e1,e1) = e0 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e0,e3) != e0
& op(e0,e0) = e3 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e2) != e0
& op(e0,e0) = e2 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e1) != e0
& op(e0,e0) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
~ ( e3 = op(e0,e0)
& e2 = op(op(e0,e0),e0)
& e1 = op(op(op(e0,e0),e0),op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
~ ( e2 = op(e0,e0)
& e3 = op(op(e0,e0),e0)
& e1 = op(op(op(e0,e0),e0),op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
~ ( e3 = op(e0,e0)
& e1 = op(op(e0,e0),e0)
& e2 = op(op(op(e0,e0),e0),op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
~ ( e1 = op(e0,e0)
& e3 = op(op(e0,e0),e0)
& e2 = op(op(op(e0,e0),e0),op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
~ ( e2 = op(e0,e0)
& e1 = op(op(e0,e0),e0)
& e3 = op(op(op(e0,e0),e0),op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
~ ( e1 = op(e0,e0)
& e2 = op(op(e0,e0),e0)
& e3 = op(op(op(e0,e0),e0),op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
~ ( e3 = op(e1,e1)
& e2 = op(op(e1,e1),e1)
& e0 = op(op(op(e1,e1),e1),op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
~ ( e2 = op(e1,e1)
& e3 = op(op(e1,e1),e1)
& e0 = op(op(op(e1,e1),e1),op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
~ ( e3 = op(e1,e1)
& e0 = op(op(e1,e1),e1)
& e2 = op(op(op(e1,e1),e1),op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
~ ( e0 = op(e1,e1)
& e3 = op(op(e1,e1),e1)
& e2 = op(op(op(e1,e1),e1),op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
~ ( e2 = op(e1,e1)
& e0 = op(op(e1,e1),e1)
& e3 = op(op(op(e1,e1),e1),op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
~ ( e0 = op(e1,e1)
& e2 = op(op(e1,e1),e1)
& e3 = op(op(op(e1,e1),e1),op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
~ ( e3 = op(e2,e2)
& e1 = op(op(e2,e2),e2)
& e0 = op(op(op(e2,e2),e2),op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
~ ( e1 = op(e2,e2)
& e3 = op(op(e2,e2),e2)
& e0 = op(op(op(e2,e2),e2),op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
~ ( e3 = op(e2,e2)
& e0 = op(op(e2,e2),e2)
& e1 = op(op(op(e2,e2),e2),op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
~ ( e0 = op(e2,e2)
& e3 = op(op(e2,e2),e2)
& e1 = op(op(op(e2,e2),e2),op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
~ ( e1 = op(e2,e2)
& e0 = op(op(e2,e2),e2)
& e3 = op(op(op(e2,e2),e2),op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
~ ( e0 = op(e2,e2)
& e1 = op(op(e2,e2),e2)
& e3 = op(op(op(e2,e2),e2),op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
~ ( e2 = op(e3,e3)
& e1 = op(op(e3,e3),e3)
& e0 = op(op(op(e3,e3),e3),op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
~ ( e1 = op(e3,e3)
& e2 = op(op(e3,e3),e3)
& e0 = op(op(op(e3,e3),e3),op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
~ ( e2 = op(e3,e3)
& e0 = op(op(e3,e3),e3)
& e1 = op(op(op(e3,e3),e3),op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
~ ( e0 = op(e3,e3)
& e2 = op(op(e3,e3),e3)
& e1 = op(op(op(e3,e3),e3),op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
~ ( e1 = op(e3,e3)
& e0 = op(op(e3,e3),e3)
& e2 = op(op(op(e3,e3),e3),op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
~ ( e0 = op(e3,e3)
& e1 = op(op(e3,e3),e3)
& e2 = op(op(op(e3,e3),e3),op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,plain,
( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f31,plain,
( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f32,plain,
( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f33,plain,
( op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f34,plain,
( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f35,plain,
( op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f36,plain,
( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f37,plain,
( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f38,plain,
( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f39,plain,
( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f40,plain,
( op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f41,plain,
( op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f42,plain,
( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f43,plain,
( op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f44,plain,
( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f45,plain,
( op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f46,plain,
( op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f47,plain,
( op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f48,plain,
( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f49,plain,
( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f50,plain,
( op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f51,plain,
( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f52,plain,
( op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f53,plain,
( op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f54,plain,
( op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f55,plain,
( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f56,plain,
( op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f57,plain,
( op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f58,plain,
( op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f59,plain,
( op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f60,plain,
( op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f61,plain,
( op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f62,plain,
( op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f63,plain,
( op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f64,plain,
( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f65,plain,
( op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f66,plain,
( op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f67,plain,
( op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f68,plain,
( op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f69,plain,
( op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f70,plain,
( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f71,plain,
( op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f72,plain,
( op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f73,plain,
( op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f74,plain,
( op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f75,plain,
( op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f76,plain,
( op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f77,plain,
( op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f78,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f79,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f80,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f81,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f82,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f83,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f84,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f85,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f86,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f87,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f88,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f89,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f90,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f91,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f92,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f93,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f94,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f95,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f96,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f97,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f98,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f99,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f100,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f101,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f102,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f103,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f104,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f105,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f106,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f107,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f108,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f109,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f110,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f111,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f112,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f113,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f114,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f115,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f116,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f117,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f118,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f119,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f120,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f121,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f122,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f123,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f124,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f125,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f126,plain,
e0 != e1,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f127,plain,
e0 != e2,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f128,plain,
e0 != e3,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f129,plain,
e1 != e2,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f130,plain,
e1 != e3,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f131,plain,
e2 != e3,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f132,definition,
( sP0_prd
<=> ( ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e3,e2) != e3
& op(e3,e3) = e2 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e3,e1) != e3
& op(e3,e3) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e3,e0) != e3
& op(e3,e3) = e0 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e2,e3) != e2
& op(e2,e2) = e3 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e2,e1) != e2
& op(e2,e2) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e2,e0) != e2
& op(e2,e2) = e0 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e1,e3) != e1
& op(e1,e1) = e3 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e1,e2) != e1
& op(e1,e1) = e2 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e0) != e1
& op(e1,e1) = e0 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e0,e3) != e0
& op(e0,e0) = e3 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e2) != e0
& op(e0,e0) = e2 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e1) != e0
& op(e0,e0) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f133,definition,
( sP1_prd
<=> ( ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f134,plain,
( ( ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e3,e3) != e3
& op(e3,e3) = e3 )
| sP1_prd )
& ( ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e3,e3) != e3
& op(e3,e3) = e3 )
| sP0_prd ) ),
inference(formula_renaming,[status(thm)],[f5,f133,f132]) ).
fof(f135,plain,
( op(e3,e3) = e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f136,plain,
( op(e3,e3) != e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f137,plain,
( op(e3,op(e3,e0)) != e0
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f138,plain,
( op(e3,op(e3,e1)) != e1
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f139,plain,
( op(e3,op(e3,e2)) != e2
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f140,plain,
( op(e3,op(e3,e3)) != e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f141,plain,
( op(e3,e3) = e3
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f142,plain,
( op(e3,e3) != e3
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f143,plain,
( op(e3,op(e3,e0)) != e0
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f144,plain,
( op(e3,op(e3,e1)) != e1
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f145,plain,
( op(e3,op(e3,e2)) != e2
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f147,plain,
( e3 != op(e0,e0)
| e2 != op(op(e0,e0),e0)
| e1 != op(op(op(e0,e0),e0),op(e0,e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f148,plain,
( e3 != op(e0,e0)
| e2 != op(op(e0,e0),e0)
| e1 != op(op(op(e0,e0),e0),op(e0,e0)) ),
inference(cnf_transformation,[status(thm)],[f147]) ).
fof(f149,plain,
( e2 != op(e0,e0)
| e3 != op(op(e0,e0),e0)
| e1 != op(op(op(e0,e0),e0),op(e0,e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f150,plain,
( e2 != op(e0,e0)
| e3 != op(op(e0,e0),e0)
| e1 != op(op(op(e0,e0),e0),op(e0,e0)) ),
inference(cnf_transformation,[status(thm)],[f149]) ).
fof(f151,plain,
( e3 != op(e0,e0)
| e1 != op(op(e0,e0),e0)
| e2 != op(op(op(e0,e0),e0),op(e0,e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f152,plain,
( e3 != op(e0,e0)
| e1 != op(op(e0,e0),e0)
| e2 != op(op(op(e0,e0),e0),op(e0,e0)) ),
inference(cnf_transformation,[status(thm)],[f151]) ).
fof(f153,plain,
( e1 != op(e0,e0)
| e3 != op(op(e0,e0),e0)
| e2 != op(op(op(e0,e0),e0),op(e0,e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f154,plain,
( e1 != op(e0,e0)
| e3 != op(op(e0,e0),e0)
| e2 != op(op(op(e0,e0),e0),op(e0,e0)) ),
inference(cnf_transformation,[status(thm)],[f153]) ).
fof(f155,plain,
( e2 != op(e0,e0)
| e1 != op(op(e0,e0),e0)
| e3 != op(op(op(e0,e0),e0),op(e0,e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f156,plain,
( e2 != op(e0,e0)
| e1 != op(op(e0,e0),e0)
| e3 != op(op(op(e0,e0),e0),op(e0,e0)) ),
inference(cnf_transformation,[status(thm)],[f155]) ).
fof(f157,plain,
( e1 != op(e0,e0)
| e2 != op(op(e0,e0),e0)
| e3 != op(op(op(e0,e0),e0),op(e0,e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f11]) ).
fof(f158,plain,
( e1 != op(e0,e0)
| e2 != op(op(e0,e0),e0)
| e3 != op(op(op(e0,e0),e0),op(e0,e0)) ),
inference(cnf_transformation,[status(thm)],[f157]) ).
fof(f159,plain,
( e3 != op(e1,e1)
| e2 != op(op(e1,e1),e1)
| e0 != op(op(op(e1,e1),e1),op(e1,e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f160,plain,
( e3 != op(e1,e1)
| e2 != op(op(e1,e1),e1)
| e0 != op(op(op(e1,e1),e1),op(e1,e1)) ),
inference(cnf_transformation,[status(thm)],[f159]) ).
fof(f161,plain,
( e2 != op(e1,e1)
| e3 != op(op(e1,e1),e1)
| e0 != op(op(op(e1,e1),e1),op(e1,e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f162,plain,
( e2 != op(e1,e1)
| e3 != op(op(e1,e1),e1)
| e0 != op(op(op(e1,e1),e1),op(e1,e1)) ),
inference(cnf_transformation,[status(thm)],[f161]) ).
fof(f163,plain,
( e3 != op(e1,e1)
| e0 != op(op(e1,e1),e1)
| e2 != op(op(op(e1,e1),e1),op(e1,e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f14]) ).
fof(f164,plain,
( e3 != op(e1,e1)
| e0 != op(op(e1,e1),e1)
| e2 != op(op(op(e1,e1),e1),op(e1,e1)) ),
inference(cnf_transformation,[status(thm)],[f163]) ).
fof(f165,plain,
( e0 != op(e1,e1)
| e3 != op(op(e1,e1),e1)
| e2 != op(op(op(e1,e1),e1),op(e1,e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f166,plain,
( e0 != op(e1,e1)
| e3 != op(op(e1,e1),e1)
| e2 != op(op(op(e1,e1),e1),op(e1,e1)) ),
inference(cnf_transformation,[status(thm)],[f165]) ).
fof(f167,plain,
( e2 != op(e1,e1)
| e0 != op(op(e1,e1),e1)
| e3 != op(op(op(e1,e1),e1),op(e1,e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f16]) ).
fof(f168,plain,
( e2 != op(e1,e1)
| e0 != op(op(e1,e1),e1)
| e3 != op(op(op(e1,e1),e1),op(e1,e1)) ),
inference(cnf_transformation,[status(thm)],[f167]) ).
fof(f169,plain,
( e0 != op(e1,e1)
| e2 != op(op(e1,e1),e1)
| e3 != op(op(op(e1,e1),e1),op(e1,e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f17]) ).
fof(f170,plain,
( e0 != op(e1,e1)
| e2 != op(op(e1,e1),e1)
| e3 != op(op(op(e1,e1),e1),op(e1,e1)) ),
inference(cnf_transformation,[status(thm)],[f169]) ).
fof(f171,plain,
( e3 != op(e2,e2)
| e1 != op(op(e2,e2),e2)
| e0 != op(op(op(e2,e2),e2),op(e2,e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f172,plain,
( e3 != op(e2,e2)
| e1 != op(op(e2,e2),e2)
| e0 != op(op(op(e2,e2),e2),op(e2,e2)) ),
inference(cnf_transformation,[status(thm)],[f171]) ).
fof(f173,plain,
( e1 != op(e2,e2)
| e3 != op(op(e2,e2),e2)
| e0 != op(op(op(e2,e2),e2),op(e2,e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f19]) ).
fof(f174,plain,
( e1 != op(e2,e2)
| e3 != op(op(e2,e2),e2)
| e0 != op(op(op(e2,e2),e2),op(e2,e2)) ),
inference(cnf_transformation,[status(thm)],[f173]) ).
fof(f175,plain,
( e3 != op(e2,e2)
| e0 != op(op(e2,e2),e2)
| e1 != op(op(op(e2,e2),e2),op(e2,e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f20]) ).
fof(f176,plain,
( e3 != op(e2,e2)
| e0 != op(op(e2,e2),e2)
| e1 != op(op(op(e2,e2),e2),op(e2,e2)) ),
inference(cnf_transformation,[status(thm)],[f175]) ).
fof(f177,plain,
( e0 != op(e2,e2)
| e3 != op(op(e2,e2),e2)
| e1 != op(op(op(e2,e2),e2),op(e2,e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f21]) ).
fof(f178,plain,
( e0 != op(e2,e2)
| e3 != op(op(e2,e2),e2)
| e1 != op(op(op(e2,e2),e2),op(e2,e2)) ),
inference(cnf_transformation,[status(thm)],[f177]) ).
fof(f179,plain,
( e1 != op(e2,e2)
| e0 != op(op(e2,e2),e2)
| e3 != op(op(op(e2,e2),e2),op(e2,e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f22]) ).
fof(f180,plain,
( e1 != op(e2,e2)
| e0 != op(op(e2,e2),e2)
| e3 != op(op(op(e2,e2),e2),op(e2,e2)) ),
inference(cnf_transformation,[status(thm)],[f179]) ).
fof(f181,plain,
( e0 != op(e2,e2)
| e1 != op(op(e2,e2),e2)
| e3 != op(op(op(e2,e2),e2),op(e2,e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f23]) ).
fof(f182,plain,
( e0 != op(e2,e2)
| e1 != op(op(e2,e2),e2)
| e3 != op(op(op(e2,e2),e2),op(e2,e2)) ),
inference(cnf_transformation,[status(thm)],[f181]) ).
fof(f183,plain,
( e2 != op(e3,e3)
| e1 != op(op(e3,e3),e3)
| e0 != op(op(op(e3,e3),e3),op(e3,e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f24]) ).
fof(f184,plain,
( e2 != op(e3,e3)
| e1 != op(op(e3,e3),e3)
| e0 != op(op(op(e3,e3),e3),op(e3,e3)) ),
inference(cnf_transformation,[status(thm)],[f183]) ).
fof(f185,plain,
( e1 != op(e3,e3)
| e2 != op(op(e3,e3),e3)
| e0 != op(op(op(e3,e3),e3),op(e3,e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f25]) ).
fof(f186,plain,
( e1 != op(e3,e3)
| e2 != op(op(e3,e3),e3)
| e0 != op(op(op(e3,e3),e3),op(e3,e3)) ),
inference(cnf_transformation,[status(thm)],[f185]) ).
fof(f187,plain,
( e2 != op(e3,e3)
| e0 != op(op(e3,e3),e3)
| e1 != op(op(op(e3,e3),e3),op(e3,e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f26]) ).
fof(f188,plain,
( e2 != op(e3,e3)
| e0 != op(op(e3,e3),e3)
| e1 != op(op(op(e3,e3),e3),op(e3,e3)) ),
inference(cnf_transformation,[status(thm)],[f187]) ).
fof(f189,plain,
( e0 != op(e3,e3)
| e2 != op(op(e3,e3),e3)
| e1 != op(op(op(e3,e3),e3),op(e3,e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f27]) ).
fof(f190,plain,
( e0 != op(e3,e3)
| e2 != op(op(e3,e3),e3)
| e1 != op(op(op(e3,e3),e3),op(e3,e3)) ),
inference(cnf_transformation,[status(thm)],[f189]) ).
fof(f191,plain,
( e1 != op(e3,e3)
| e0 != op(op(e3,e3),e3)
| e2 != op(op(op(e3,e3),e3),op(e3,e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f28]) ).
fof(f192,plain,
( e1 != op(e3,e3)
| e0 != op(op(e3,e3),e3)
| e2 != op(op(op(e3,e3),e3),op(e3,e3)) ),
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f193,plain,
( e0 != op(e3,e3)
| e1 != op(op(e3,e3),e3)
| e2 != op(op(op(e3,e3),e3),op(e3,e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f29]) ).
fof(f194,plain,
( e0 != op(e3,e3)
| e1 != op(op(e3,e3),e3)
| e2 != op(op(op(e3,e3),e3),op(e3,e3)) ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f195,definition,
( sP2_prd
<=> ( ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e3,e1) != e3
& op(e3,e3) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e3,e0) != e3
& op(e3,e3) = e0 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e2,e3) != e2
& op(e2,e2) = e3 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e2,e1) != e2
& op(e2,e2) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e2,e0) != e2
& op(e2,e2) = e0 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e1,e3) != e1
& op(e1,e1) = e3 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e1,e2) != e1
& op(e1,e1) = e2 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e0) != e1
& op(e1,e1) = e0 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e0,e3) != e0
& op(e0,e0) = e3 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e2) != e0
& op(e0,e0) = e2 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e1) != e0
& op(e0,e0) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f196,plain,
( sP0_prd
<=> ( ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e3,e2) != e3
& op(e3,e3) = e2 )
| sP2_prd ) ),
inference(formula_renaming,[status(thm)],[f132,f195]) ).
fof(f197,plain,
( ( ( ( op(e2,op(e2,e3)) = e3
| op(e2,op(e2,e2)) = e2
| op(e2,op(e2,e1)) = e1
| op(e2,op(e2,e0)) = e0
| op(e3,e2) = e3
| op(e3,e3) != e2 )
& ~ sP2_prd )
| sP0_prd )
& ( ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e3,e2) != e3
& op(e3,e3) = e2 )
| sP2_prd
| ~ sP0_prd ) ),
inference(NNF_transformation,[status(thm)],[f196]) ).
fof(f198,plain,
( op(e3,e3) = e2
| sP2_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f199,plain,
( op(e3,e2) != e3
| sP2_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f200,plain,
( op(e2,op(e2,e0)) != e0
| sP2_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f201,plain,
( op(e2,op(e2,e1)) != e1
| sP2_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f202,plain,
( op(e2,op(e2,e2)) != e2
| sP2_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f203,plain,
( op(e2,op(e2,e3)) != e3
| sP2_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f204,plain,
( ~ sP2_prd
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f206,definition,
( sP3_prd
<=> ( ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f207,plain,
( sP1_prd
<=> ( ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| sP3_prd ) ),
inference(formula_renaming,[status(thm)],[f133,f206]) ).
fof(f208,plain,
( ( ( ( op(e2,op(e2,e3)) = e3
| op(e2,op(e2,e2)) = e2
| op(e2,op(e2,e1)) = e1
| op(e2,op(e2,e0)) = e0
| op(e3,e3) = e2
| op(e3,e2) != e3 )
& ~ sP3_prd )
| sP1_prd )
& ( ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| sP3_prd
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f207]) ).
fof(f209,plain,
( op(e3,e2) = e3
| sP3_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f208]) ).
fof(f210,plain,
( op(e3,e3) != e2
| sP3_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f208]) ).
fof(f211,plain,
( op(e2,op(e2,e0)) != e0
| sP3_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f208]) ).
fof(f212,plain,
( op(e2,op(e2,e1)) != e1
| sP3_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f208]) ).
fof(f213,plain,
( op(e2,op(e2,e2)) != e2
| sP3_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f208]) ).
fof(f214,plain,
( op(e2,op(e2,e3)) != e3
| sP3_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f208]) ).
fof(f215,plain,
( ~ sP3_prd
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f208]) ).
fof(f217,definition,
( sP4_prd
<=> ( ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e3,e0) != e3
& op(e3,e3) = e0 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e2,e3) != e2
& op(e2,e2) = e3 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e2,e1) != e2
& op(e2,e2) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e2,e0) != e2
& op(e2,e2) = e0 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e1,e3) != e1
& op(e1,e1) = e3 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e1,e2) != e1
& op(e1,e1) = e2 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e0) != e1
& op(e1,e1) = e0 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e0,e3) != e0
& op(e0,e0) = e3 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e2) != e0
& op(e0,e0) = e2 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e1) != e0
& op(e0,e0) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f218,plain,
( sP2_prd
<=> ( ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e3,e1) != e3
& op(e3,e3) = e1 )
| sP4_prd ) ),
inference(formula_renaming,[status(thm)],[f195,f217]) ).
fof(f219,plain,
( ( ( ( op(e1,op(e1,e3)) = e3
| op(e1,op(e1,e2)) = e2
| op(e1,op(e1,e1)) = e1
| op(e1,op(e1,e0)) = e0
| op(e3,e1) = e3
| op(e3,e3) != e1 )
& ~ sP4_prd )
| sP2_prd )
& ( ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e3,e1) != e3
& op(e3,e3) = e1 )
| sP4_prd
| ~ sP2_prd ) ),
inference(NNF_transformation,[status(thm)],[f218]) ).
fof(f220,plain,
( op(e3,e3) = e1
| sP4_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f219]) ).
fof(f221,plain,
( op(e3,e1) != e3
| sP4_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f219]) ).
fof(f222,plain,
( op(e1,op(e1,e0)) != e0
| sP4_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f219]) ).
fof(f223,plain,
( op(e1,op(e1,e1)) != e1
| sP4_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f219]) ).
fof(f224,plain,
( op(e1,op(e1,e2)) != e2
| sP4_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f219]) ).
fof(f225,plain,
( op(e1,op(e1,e3)) != e3
| sP4_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f219]) ).
fof(f226,plain,
( ~ sP4_prd
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f219]) ).
fof(f228,definition,
( sP5_prd
<=> ( ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f229,plain,
( sP3_prd
<=> ( ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| sP5_prd ) ),
inference(formula_renaming,[status(thm)],[f206,f228]) ).
fof(f230,plain,
( ( ( ( op(e1,op(e1,e3)) = e3
| op(e1,op(e1,e2)) = e2
| op(e1,op(e1,e1)) = e1
| op(e1,op(e1,e0)) = e0
| op(e3,e3) = e1
| op(e3,e1) != e3 )
& ~ sP5_prd )
| sP3_prd )
& ( ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| sP5_prd
| ~ sP3_prd ) ),
inference(NNF_transformation,[status(thm)],[f229]) ).
fof(f231,plain,
( op(e3,e1) = e3
| sP5_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f230]) ).
fof(f232,plain,
( op(e3,e3) != e1
| sP5_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f230]) ).
fof(f233,plain,
( op(e1,op(e1,e0)) != e0
| sP5_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f230]) ).
fof(f234,plain,
( op(e1,op(e1,e1)) != e1
| sP5_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f230]) ).
fof(f235,plain,
( op(e1,op(e1,e2)) != e2
| sP5_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f230]) ).
fof(f236,plain,
( op(e1,op(e1,e3)) != e3
| sP5_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f230]) ).
fof(f237,plain,
( ~ sP5_prd
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f230]) ).
fof(f239,definition,
( sP6_prd
<=> ( ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e2,e3) != e2
& op(e2,e2) = e3 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e2,e1) != e2
& op(e2,e2) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e2,e0) != e2
& op(e2,e2) = e0 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e1,e3) != e1
& op(e1,e1) = e3 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e1,e2) != e1
& op(e1,e1) = e2 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e0) != e1
& op(e1,e1) = e0 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e0,e3) != e0
& op(e0,e0) = e3 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e2) != e0
& op(e0,e0) = e2 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e1) != e0
& op(e0,e0) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f240,plain,
( sP4_prd
<=> ( ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e3,e0) != e3
& op(e3,e3) = e0 )
| sP6_prd ) ),
inference(formula_renaming,[status(thm)],[f217,f239]) ).
fof(f241,plain,
( ( ( ( op(e0,op(e0,e3)) = e3
| op(e0,op(e0,e2)) = e2
| op(e0,op(e0,e1)) = e1
| op(e0,op(e0,e0)) = e0
| op(e3,e0) = e3
| op(e3,e3) != e0 )
& ~ sP6_prd )
| sP4_prd )
& ( ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e3,e0) != e3
& op(e3,e3) = e0 )
| sP6_prd
| ~ sP4_prd ) ),
inference(NNF_transformation,[status(thm)],[f240]) ).
fof(f242,plain,
( op(e3,e3) = e0
| sP6_prd
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f243,plain,
( op(e3,e0) != e3
| sP6_prd
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f244,plain,
( op(e0,op(e0,e0)) != e0
| sP6_prd
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f245,plain,
( op(e0,op(e0,e1)) != e1
| sP6_prd
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f246,plain,
( op(e0,op(e0,e2)) != e2
| sP6_prd
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f247,plain,
( op(e0,op(e0,e3)) != e3
| sP6_prd
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f248,plain,
( ~ sP6_prd
| sP4_prd ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f250,definition,
( sP7_prd
<=> ( ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).
fof(f251,plain,
( sP5_prd
<=> ( ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| sP7_prd ) ),
inference(formula_renaming,[status(thm)],[f228,f250]) ).
fof(f252,plain,
( ( ( ( op(e0,op(e0,e3)) = e3
| op(e0,op(e0,e2)) = e2
| op(e0,op(e0,e1)) = e1
| op(e0,op(e0,e0)) = e0
| op(e3,e3) = e0
| op(e3,e0) != e3 )
& ~ sP7_prd )
| sP5_prd )
& ( ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| sP7_prd
| ~ sP5_prd ) ),
inference(NNF_transformation,[status(thm)],[f251]) ).
fof(f253,plain,
( op(e3,e0) = e3
| sP7_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f254,plain,
( op(e3,e3) != e0
| sP7_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f255,plain,
( op(e0,op(e0,e0)) != e0
| sP7_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f256,plain,
( op(e0,op(e0,e1)) != e1
| sP7_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f257,plain,
( op(e0,op(e0,e2)) != e2
| sP7_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f258,plain,
( op(e0,op(e0,e3)) != e3
| sP7_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f259,plain,
( ~ sP7_prd
| sP5_prd ),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f261,definition,
( sP8_prd
<=> ( ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e2,e1) != e2
& op(e2,e2) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e2,e0) != e2
& op(e2,e2) = e0 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e1,e3) != e1
& op(e1,e1) = e3 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e1,e2) != e1
& op(e1,e1) = e2 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e0) != e1
& op(e1,e1) = e0 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e0,e3) != e0
& op(e0,e0) = e3 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e2) != e0
& op(e0,e0) = e2 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e1) != e0
& op(e0,e0) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP8_prd])],[]) ).
fof(f262,plain,
( sP6_prd
<=> ( ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e2,e3) != e2
& op(e2,e2) = e3 )
| sP8_prd ) ),
inference(formula_renaming,[status(thm)],[f239,f261]) ).
fof(f263,plain,
( ( ( ( op(e3,op(e3,e3)) = e3
| op(e3,op(e3,e2)) = e2
| op(e3,op(e3,e1)) = e1
| op(e3,op(e3,e0)) = e0
| op(e2,e3) = e2
| op(e2,e2) != e3 )
& ~ sP8_prd )
| sP6_prd )
& ( ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e2,e3) != e2
& op(e2,e2) = e3 )
| sP8_prd
| ~ sP6_prd ) ),
inference(NNF_transformation,[status(thm)],[f262]) ).
fof(f264,plain,
( op(e2,e2) = e3
| sP8_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f263]) ).
fof(f265,plain,
( op(e2,e3) != e2
| sP8_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f263]) ).
fof(f266,plain,
( op(e3,op(e3,e0)) != e0
| sP8_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f263]) ).
fof(f267,plain,
( op(e3,op(e3,e1)) != e1
| sP8_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f263]) ).
fof(f268,plain,
( op(e3,op(e3,e2)) != e2
| sP8_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f263]) ).
fof(f269,plain,
( op(e3,op(e3,e3)) != e3
| sP8_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f263]) ).
fof(f270,plain,
( ~ sP8_prd
| sP6_prd ),
inference(cnf_transformation,[status(thm)],[f263]) ).
fof(f272,definition,
( sP9_prd
<=> ( ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP9_prd])],[]) ).
fof(f273,plain,
( sP7_prd
<=> ( ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| sP9_prd ) ),
inference(formula_renaming,[status(thm)],[f250,f272]) ).
fof(f274,plain,
( ( ( ( op(e3,op(e3,e3)) = e3
| op(e3,op(e3,e2)) = e2
| op(e3,op(e3,e1)) = e1
| op(e3,op(e3,e0)) = e0
| op(e2,e2) = e3
| op(e2,e3) != e2 )
& ~ sP9_prd )
| sP7_prd )
& ( ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| sP9_prd
| ~ sP7_prd ) ),
inference(NNF_transformation,[status(thm)],[f273]) ).
fof(f275,plain,
( op(e2,e3) = e2
| sP9_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f274]) ).
fof(f276,plain,
( op(e2,e2) != e3
| sP9_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f274]) ).
fof(f277,plain,
( op(e3,op(e3,e0)) != e0
| sP9_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f274]) ).
fof(f278,plain,
( op(e3,op(e3,e1)) != e1
| sP9_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f274]) ).
fof(f279,plain,
( op(e3,op(e3,e2)) != e2
| sP9_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f274]) ).
fof(f280,plain,
( op(e3,op(e3,e3)) != e3
| sP9_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f274]) ).
fof(f281,plain,
( ~ sP9_prd
| sP7_prd ),
inference(cnf_transformation,[status(thm)],[f274]) ).
fof(f283,definition,
( sP10_prd
<=> ( ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e2,e1) != e2
& op(e2,e2) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e2,e0) != e2
& op(e2,e2) = e0 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e1,e3) != e1
& op(e1,e1) = e3 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e1,e2) != e1
& op(e1,e1) = e2 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e0) != e1
& op(e1,e1) = e0 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e0,e3) != e0
& op(e0,e0) = e3 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e2) != e0
& op(e0,e0) = e2 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e1) != e0
& op(e0,e0) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP10_prd])],[]) ).
fof(f284,plain,
( sP8_prd
<=> ( ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| sP10_prd ) ),
inference(formula_renaming,[status(thm)],[f261,f283]) ).
fof(f285,plain,
( ( ( ( op(e2,op(e2,e3)) = e3
| op(e2,op(e2,e2)) = e2
| op(e2,op(e2,e1)) = e1
| op(e2,op(e2,e0)) = e0
| op(e2,e2) = e2
| op(e2,e2) != e2 )
& ~ sP10_prd )
| sP8_prd )
& ( ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| sP10_prd
| ~ sP8_prd ) ),
inference(NNF_transformation,[status(thm)],[f284]) ).
fof(f286,plain,
( op(e2,e2) = e2
| sP10_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f285]) ).
fof(f287,plain,
( op(e2,e2) != e2
| sP10_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f285]) ).
fof(f288,plain,
( op(e2,op(e2,e0)) != e0
| sP10_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f285]) ).
fof(f289,plain,
( op(e2,op(e2,e1)) != e1
| sP10_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f285]) ).
fof(f291,plain,
( op(e2,op(e2,e3)) != e3
| sP10_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f285]) ).
fof(f292,plain,
( ~ sP10_prd
| sP8_prd ),
inference(cnf_transformation,[status(thm)],[f285]) ).
fof(f294,definition,
( sP11_prd
<=> ( ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP11_prd])],[]) ).
fof(f295,plain,
( sP9_prd
<=> ( ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| sP11_prd ) ),
inference(formula_renaming,[status(thm)],[f272,f294]) ).
fof(f296,plain,
( ( ( ( op(e2,op(e2,e3)) = e3
| op(e2,op(e2,e2)) = e2
| op(e2,op(e2,e1)) = e1
| op(e2,op(e2,e0)) = e0
| op(e2,e2) = e2
| op(e2,e2) != e2 )
& ~ sP11_prd )
| sP9_prd )
& ( ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| sP11_prd
| ~ sP9_prd ) ),
inference(NNF_transformation,[status(thm)],[f295]) ).
fof(f297,plain,
( op(e2,e2) = e2
| sP11_prd
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f296]) ).
fof(f298,plain,
( op(e2,e2) != e2
| sP11_prd
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f296]) ).
fof(f303,plain,
( ~ sP11_prd
| sP9_prd ),
inference(cnf_transformation,[status(thm)],[f296]) ).
fof(f305,definition,
( sP12_prd
<=> ( ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e2,e0) != e2
& op(e2,e2) = e0 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e1,e3) != e1
& op(e1,e1) = e3 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e1,e2) != e1
& op(e1,e1) = e2 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e0) != e1
& op(e1,e1) = e0 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e0,e3) != e0
& op(e0,e0) = e3 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e2) != e0
& op(e0,e0) = e2 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e1) != e0
& op(e0,e0) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP12_prd])],[]) ).
fof(f306,plain,
( sP10_prd
<=> ( ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e2,e1) != e2
& op(e2,e2) = e1 )
| sP12_prd ) ),
inference(formula_renaming,[status(thm)],[f283,f305]) ).
fof(f307,plain,
( ( ( ( op(e1,op(e1,e3)) = e3
| op(e1,op(e1,e2)) = e2
| op(e1,op(e1,e1)) = e1
| op(e1,op(e1,e0)) = e0
| op(e2,e1) = e2
| op(e2,e2) != e1 )
& ~ sP12_prd )
| sP10_prd )
& ( ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e2,e1) != e2
& op(e2,e2) = e1 )
| sP12_prd
| ~ sP10_prd ) ),
inference(NNF_transformation,[status(thm)],[f306]) ).
fof(f308,plain,
( op(e2,e2) = e1
| sP12_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f307]) ).
fof(f309,plain,
( op(e2,e1) != e2
| sP12_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f307]) ).
fof(f310,plain,
( op(e1,op(e1,e0)) != e0
| sP12_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f307]) ).
fof(f311,plain,
( op(e1,op(e1,e1)) != e1
| sP12_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f307]) ).
fof(f312,plain,
( op(e1,op(e1,e2)) != e2
| sP12_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f307]) ).
fof(f313,plain,
( op(e1,op(e1,e3)) != e3
| sP12_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f307]) ).
fof(f314,plain,
( ~ sP12_prd
| sP10_prd ),
inference(cnf_transformation,[status(thm)],[f307]) ).
fof(f315,plain,
( op(e1,op(e1,e3)) = e3
| op(e1,op(e1,e2)) = e2
| op(e1,op(e1,e1)) = e1
| op(e1,op(e1,e0)) = e0
| op(e2,e1) = e2
| op(e2,e2) != e1
| sP10_prd ),
inference(cnf_transformation,[status(thm)],[f307]) ).
fof(f316,definition,
( sP13_prd
<=> ( ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP13_prd])],[]) ).
fof(f317,plain,
( sP11_prd
<=> ( ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| sP13_prd ) ),
inference(formula_renaming,[status(thm)],[f294,f316]) ).
fof(f318,plain,
( ( ( ( op(e1,op(e1,e3)) = e3
| op(e1,op(e1,e2)) = e2
| op(e1,op(e1,e1)) = e1
| op(e1,op(e1,e0)) = e0
| op(e2,e2) = e1
| op(e2,e1) != e2 )
& ~ sP13_prd )
| sP11_prd )
& ( ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| sP13_prd
| ~ sP11_prd ) ),
inference(NNF_transformation,[status(thm)],[f317]) ).
fof(f319,plain,
( op(e2,e1) = e2
| sP13_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f318]) ).
fof(f320,plain,
( op(e2,e2) != e1
| sP13_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f318]) ).
fof(f321,plain,
( op(e1,op(e1,e0)) != e0
| sP13_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f318]) ).
fof(f322,plain,
( op(e1,op(e1,e1)) != e1
| sP13_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f318]) ).
fof(f323,plain,
( op(e1,op(e1,e2)) != e2
| sP13_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f318]) ).
fof(f324,plain,
( op(e1,op(e1,e3)) != e3
| sP13_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f318]) ).
fof(f325,plain,
( ~ sP13_prd
| sP11_prd ),
inference(cnf_transformation,[status(thm)],[f318]) ).
fof(f326,plain,
( op(e1,op(e1,e3)) = e3
| op(e1,op(e1,e2)) = e2
| op(e1,op(e1,e1)) = e1
| op(e1,op(e1,e0)) = e0
| op(e2,e2) = e1
| op(e2,e1) != e2
| sP11_prd ),
inference(cnf_transformation,[status(thm)],[f318]) ).
fof(f327,definition,
( sP14_prd
<=> ( ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e1,e3) != e1
& op(e1,e1) = e3 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e1,e2) != e1
& op(e1,e1) = e2 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e0) != e1
& op(e1,e1) = e0 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e0,e3) != e0
& op(e0,e0) = e3 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e2) != e0
& op(e0,e0) = e2 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e1) != e0
& op(e0,e0) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP14_prd])],[]) ).
fof(f328,plain,
( sP12_prd
<=> ( ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e2,e0) != e2
& op(e2,e2) = e0 )
| sP14_prd ) ),
inference(formula_renaming,[status(thm)],[f305,f327]) ).
fof(f329,plain,
( ( ( ( op(e0,op(e0,e3)) = e3
| op(e0,op(e0,e2)) = e2
| op(e0,op(e0,e1)) = e1
| op(e0,op(e0,e0)) = e0
| op(e2,e0) = e2
| op(e2,e2) != e0 )
& ~ sP14_prd )
| sP12_prd )
& ( ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e2,e0) != e2
& op(e2,e2) = e0 )
| sP14_prd
| ~ sP12_prd ) ),
inference(NNF_transformation,[status(thm)],[f328]) ).
fof(f330,plain,
( op(e2,e2) = e0
| sP14_prd
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f329]) ).
fof(f331,plain,
( op(e2,e0) != e2
| sP14_prd
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f329]) ).
fof(f332,plain,
( op(e0,op(e0,e0)) != e0
| sP14_prd
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f329]) ).
fof(f333,plain,
( op(e0,op(e0,e1)) != e1
| sP14_prd
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f329]) ).
fof(f334,plain,
( op(e0,op(e0,e2)) != e2
| sP14_prd
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f329]) ).
fof(f335,plain,
( op(e0,op(e0,e3)) != e3
| sP14_prd
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f329]) ).
fof(f336,plain,
( ~ sP14_prd
| sP12_prd ),
inference(cnf_transformation,[status(thm)],[f329]) ).
fof(f338,definition,
( sP15_prd
<=> ( ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP15_prd])],[]) ).
fof(f339,plain,
( sP13_prd
<=> ( ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| sP15_prd ) ),
inference(formula_renaming,[status(thm)],[f316,f338]) ).
fof(f340,plain,
( ( ( ( op(e0,op(e0,e3)) = e3
| op(e0,op(e0,e2)) = e2
| op(e0,op(e0,e1)) = e1
| op(e0,op(e0,e0)) = e0
| op(e2,e2) = e0
| op(e2,e0) != e2 )
& ~ sP15_prd )
| sP13_prd )
& ( ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| sP15_prd
| ~ sP13_prd ) ),
inference(NNF_transformation,[status(thm)],[f339]) ).
fof(f341,plain,
( op(e2,e0) = e2
| sP15_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f340]) ).
fof(f342,plain,
( op(e2,e2) != e0
| sP15_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f340]) ).
fof(f343,plain,
( op(e0,op(e0,e0)) != e0
| sP15_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f340]) ).
fof(f344,plain,
( op(e0,op(e0,e1)) != e1
| sP15_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f340]) ).
fof(f345,plain,
( op(e0,op(e0,e2)) != e2
| sP15_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f340]) ).
fof(f346,plain,
( op(e0,op(e0,e3)) != e3
| sP15_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f340]) ).
fof(f347,plain,
( ~ sP15_prd
| sP13_prd ),
inference(cnf_transformation,[status(thm)],[f340]) ).
fof(f349,definition,
( sP16_prd
<=> ( ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e1,e2) != e1
& op(e1,e1) = e2 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e0) != e1
& op(e1,e1) = e0 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e0,e3) != e0
& op(e0,e0) = e3 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e2) != e0
& op(e0,e0) = e2 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e1) != e0
& op(e0,e0) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP16_prd])],[]) ).
fof(f350,plain,
( sP14_prd
<=> ( ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e1,e3) != e1
& op(e1,e1) = e3 )
| sP16_prd ) ),
inference(formula_renaming,[status(thm)],[f327,f349]) ).
fof(f351,plain,
( ( ( ( op(e3,op(e3,e3)) = e3
| op(e3,op(e3,e2)) = e2
| op(e3,op(e3,e1)) = e1
| op(e3,op(e3,e0)) = e0
| op(e1,e3) = e1
| op(e1,e1) != e3 )
& ~ sP16_prd )
| sP14_prd )
& ( ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e1,e3) != e1
& op(e1,e1) = e3 )
| sP16_prd
| ~ sP14_prd ) ),
inference(NNF_transformation,[status(thm)],[f350]) ).
fof(f352,plain,
( op(e1,e1) = e3
| sP16_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f351]) ).
fof(f353,plain,
( op(e1,e3) != e1
| sP16_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f351]) ).
fof(f354,plain,
( op(e3,op(e3,e0)) != e0
| sP16_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f351]) ).
fof(f355,plain,
( op(e3,op(e3,e1)) != e1
| sP16_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f351]) ).
fof(f356,plain,
( op(e3,op(e3,e2)) != e2
| sP16_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f351]) ).
fof(f357,plain,
( op(e3,op(e3,e3)) != e3
| sP16_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f351]) ).
fof(f358,plain,
( ~ sP16_prd
| sP14_prd ),
inference(cnf_transformation,[status(thm)],[f351]) ).
fof(f360,definition,
( sP17_prd
<=> ( ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP17_prd])],[]) ).
fof(f361,plain,
( sP15_prd
<=> ( ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| sP17_prd ) ),
inference(formula_renaming,[status(thm)],[f338,f360]) ).
fof(f362,plain,
( ( ( ( op(e3,op(e3,e3)) = e3
| op(e3,op(e3,e2)) = e2
| op(e3,op(e3,e1)) = e1
| op(e3,op(e3,e0)) = e0
| op(e1,e1) = e3
| op(e1,e3) != e1 )
& ~ sP17_prd )
| sP15_prd )
& ( ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| sP17_prd
| ~ sP15_prd ) ),
inference(NNF_transformation,[status(thm)],[f361]) ).
fof(f363,plain,
( op(e1,e3) = e1
| sP17_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f362]) ).
fof(f364,plain,
( op(e1,e1) != e3
| sP17_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f362]) ).
fof(f365,plain,
( op(e3,op(e3,e0)) != e0
| sP17_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f362]) ).
fof(f366,plain,
( op(e3,op(e3,e1)) != e1
| sP17_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f362]) ).
fof(f367,plain,
( op(e3,op(e3,e2)) != e2
| sP17_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f362]) ).
fof(f368,plain,
( op(e3,op(e3,e3)) != e3
| sP17_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f362]) ).
fof(f369,plain,
( ~ sP17_prd
| sP15_prd ),
inference(cnf_transformation,[status(thm)],[f362]) ).
fof(f370,plain,
( op(e3,op(e3,e3)) = e3
| op(e3,op(e3,e2)) = e2
| op(e3,op(e3,e1)) = e1
| op(e3,op(e3,e0)) = e0
| op(e1,e1) = e3
| op(e1,e3) != e1
| sP15_prd ),
inference(cnf_transformation,[status(thm)],[f362]) ).
fof(f371,definition,
( sP18_prd
<=> ( ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e0) != e1
& op(e1,e1) = e0 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e0,e3) != e0
& op(e0,e0) = e3 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e2) != e0
& op(e0,e0) = e2 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e1) != e0
& op(e0,e0) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP18_prd])],[]) ).
fof(f372,plain,
( sP16_prd
<=> ( ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e1,e2) != e1
& op(e1,e1) = e2 )
| sP18_prd ) ),
inference(formula_renaming,[status(thm)],[f349,f371]) ).
fof(f373,plain,
( ( ( ( op(e2,op(e2,e3)) = e3
| op(e2,op(e2,e2)) = e2
| op(e2,op(e2,e1)) = e1
| op(e2,op(e2,e0)) = e0
| op(e1,e2) = e1
| op(e1,e1) != e2 )
& ~ sP18_prd )
| sP16_prd )
& ( ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e1,e2) != e1
& op(e1,e1) = e2 )
| sP18_prd
| ~ sP16_prd ) ),
inference(NNF_transformation,[status(thm)],[f372]) ).
fof(f374,plain,
( op(e1,e1) = e2
| sP18_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f373]) ).
fof(f375,plain,
( op(e1,e2) != e1
| sP18_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f373]) ).
fof(f376,plain,
( op(e2,op(e2,e0)) != e0
| sP18_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f373]) ).
fof(f377,plain,
( op(e2,op(e2,e1)) != e1
| sP18_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f373]) ).
fof(f378,plain,
( op(e2,op(e2,e2)) != e2
| sP18_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f373]) ).
fof(f379,plain,
( op(e2,op(e2,e3)) != e3
| sP18_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f373]) ).
fof(f380,plain,
( ~ sP18_prd
| sP16_prd ),
inference(cnf_transformation,[status(thm)],[f373]) ).
fof(f381,plain,
( op(e2,op(e2,e3)) = e3
| op(e2,op(e2,e2)) = e2
| op(e2,op(e2,e1)) = e1
| op(e2,op(e2,e0)) = e0
| op(e1,e2) = e1
| op(e1,e1) != e2
| sP16_prd ),
inference(cnf_transformation,[status(thm)],[f373]) ).
fof(f382,definition,
( sP19_prd
<=> ( ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP19_prd])],[]) ).
fof(f383,plain,
( sP17_prd
<=> ( ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| sP19_prd ) ),
inference(formula_renaming,[status(thm)],[f360,f382]) ).
fof(f384,plain,
( ( ( ( op(e2,op(e2,e3)) = e3
| op(e2,op(e2,e2)) = e2
| op(e2,op(e2,e1)) = e1
| op(e2,op(e2,e0)) = e0
| op(e1,e1) = e2
| op(e1,e2) != e1 )
& ~ sP19_prd )
| sP17_prd )
& ( ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| sP19_prd
| ~ sP17_prd ) ),
inference(NNF_transformation,[status(thm)],[f383]) ).
fof(f385,plain,
( op(e1,e2) = e1
| sP19_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f384]) ).
fof(f386,plain,
( op(e1,e1) != e2
| sP19_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f384]) ).
fof(f387,plain,
( op(e2,op(e2,e0)) != e0
| sP19_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f384]) ).
fof(f388,plain,
( op(e2,op(e2,e1)) != e1
| sP19_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f384]) ).
fof(f389,plain,
( op(e2,op(e2,e2)) != e2
| sP19_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f384]) ).
fof(f390,plain,
( op(e2,op(e2,e3)) != e3
| sP19_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f384]) ).
fof(f391,plain,
( ~ sP19_prd
| sP17_prd ),
inference(cnf_transformation,[status(thm)],[f384]) ).
fof(f392,plain,
( op(e2,op(e2,e3)) = e3
| op(e2,op(e2,e2)) = e2
| op(e2,op(e2,e1)) = e1
| op(e2,op(e2,e0)) = e0
| op(e1,e1) = e2
| op(e1,e2) != e1
| sP17_prd ),
inference(cnf_transformation,[status(thm)],[f384]) ).
fof(f393,definition,
( sP20_prd
<=> ( ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e0) != e1
& op(e1,e1) = e0 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e0,e3) != e0
& op(e0,e0) = e3 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e2) != e0
& op(e0,e0) = e2 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e1) != e0
& op(e0,e0) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP20_prd])],[]) ).
fof(f394,plain,
( sP18_prd
<=> ( ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| sP20_prd ) ),
inference(formula_renaming,[status(thm)],[f371,f393]) ).
fof(f395,plain,
( ( ( ( op(e1,op(e1,e3)) = e3
| op(e1,op(e1,e2)) = e2
| op(e1,op(e1,e1)) = e1
| op(e1,op(e1,e0)) = e0
| op(e1,e1) = e1
| op(e1,e1) != e1 )
& ~ sP20_prd )
| sP18_prd )
& ( ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| sP20_prd
| ~ sP18_prd ) ),
inference(NNF_transformation,[status(thm)],[f394]) ).
fof(f396,plain,
( op(e1,e1) = e1
| sP20_prd
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f395]) ).
fof(f397,plain,
( op(e1,e1) != e1
| sP20_prd
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f395]) ).
fof(f398,plain,
( op(e1,op(e1,e0)) != e0
| sP20_prd
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f395]) ).
fof(f400,plain,
( op(e1,op(e1,e2)) != e2
| sP20_prd
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f395]) ).
fof(f401,plain,
( op(e1,op(e1,e3)) != e3
| sP20_prd
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f395]) ).
fof(f402,plain,
( ~ sP20_prd
| sP18_prd ),
inference(cnf_transformation,[status(thm)],[f395]) ).
fof(f404,definition,
( sP21_prd
<=> ( ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP21_prd])],[]) ).
fof(f405,plain,
( sP19_prd
<=> ( ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| sP21_prd ) ),
inference(formula_renaming,[status(thm)],[f382,f404]) ).
fof(f406,plain,
( ( ( ( op(e1,op(e1,e3)) = e3
| op(e1,op(e1,e2)) = e2
| op(e1,op(e1,e1)) = e1
| op(e1,op(e1,e0)) = e0
| op(e1,e1) = e1
| op(e1,e1) != e1 )
& ~ sP21_prd )
| sP19_prd )
& ( ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| sP21_prd
| ~ sP19_prd ) ),
inference(NNF_transformation,[status(thm)],[f405]) ).
fof(f407,plain,
( op(e1,e1) = e1
| sP21_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f406]) ).
fof(f408,plain,
( op(e1,e1) != e1
| sP21_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f406]) ).
fof(f409,plain,
( op(e1,op(e1,e0)) != e0
| sP21_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f406]) ).
fof(f411,plain,
( op(e1,op(e1,e2)) != e2
| sP21_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f406]) ).
fof(f412,plain,
( op(e1,op(e1,e3)) != e3
| sP21_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f406]) ).
fof(f413,plain,
( ~ sP21_prd
| sP19_prd ),
inference(cnf_transformation,[status(thm)],[f406]) ).
fof(f415,definition,
( sP22_prd
<=> ( ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e0,e3) != e0
& op(e0,e0) = e3 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e2) != e0
& op(e0,e0) = e2 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e1) != e0
& op(e0,e0) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP22_prd])],[]) ).
fof(f416,plain,
( sP20_prd
<=> ( ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e0) != e1
& op(e1,e1) = e0 )
| sP22_prd ) ),
inference(formula_renaming,[status(thm)],[f393,f415]) ).
fof(f417,plain,
( ( ( ( op(e0,op(e0,e3)) = e3
| op(e0,op(e0,e2)) = e2
| op(e0,op(e0,e1)) = e1
| op(e0,op(e0,e0)) = e0
| op(e1,e0) = e1
| op(e1,e1) != e0 )
& ~ sP22_prd )
| sP20_prd )
& ( ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e0) != e1
& op(e1,e1) = e0 )
| sP22_prd
| ~ sP20_prd ) ),
inference(NNF_transformation,[status(thm)],[f416]) ).
fof(f418,plain,
( op(e1,e1) = e0
| sP22_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f417]) ).
fof(f419,plain,
( op(e1,e0) != e1
| sP22_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f417]) ).
fof(f420,plain,
( op(e0,op(e0,e0)) != e0
| sP22_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f417]) ).
fof(f421,plain,
( op(e0,op(e0,e1)) != e1
| sP22_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f417]) ).
fof(f422,plain,
( op(e0,op(e0,e2)) != e2
| sP22_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f417]) ).
fof(f423,plain,
( op(e0,op(e0,e3)) != e3
| sP22_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f417]) ).
fof(f424,plain,
( ~ sP22_prd
| sP20_prd ),
inference(cnf_transformation,[status(thm)],[f417]) ).
fof(f425,plain,
( op(e0,op(e0,e3)) = e3
| op(e0,op(e0,e2)) = e2
| op(e0,op(e0,e1)) = e1
| op(e0,op(e0,e0)) = e0
| op(e1,e0) = e1
| op(e1,e1) != e0
| sP20_prd ),
inference(cnf_transformation,[status(thm)],[f417]) ).
fof(f426,definition,
( sP23_prd
<=> ( ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP23_prd])],[]) ).
fof(f427,plain,
( sP21_prd
<=> ( ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| sP23_prd ) ),
inference(formula_renaming,[status(thm)],[f404,f426]) ).
fof(f428,plain,
( ( ( ( op(e0,op(e0,e3)) = e3
| op(e0,op(e0,e2)) = e2
| op(e0,op(e0,e1)) = e1
| op(e0,op(e0,e0)) = e0
| op(e1,e1) = e0
| op(e1,e0) != e1 )
& ~ sP23_prd )
| sP21_prd )
& ( ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| sP23_prd
| ~ sP21_prd ) ),
inference(NNF_transformation,[status(thm)],[f427]) ).
fof(f429,plain,
( op(e1,e0) = e1
| sP23_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f428]) ).
fof(f430,plain,
( op(e1,e1) != e0
| sP23_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f428]) ).
fof(f431,plain,
( op(e0,op(e0,e0)) != e0
| sP23_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f428]) ).
fof(f432,plain,
( op(e0,op(e0,e1)) != e1
| sP23_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f428]) ).
fof(f433,plain,
( op(e0,op(e0,e2)) != e2
| sP23_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f428]) ).
fof(f434,plain,
( op(e0,op(e0,e3)) != e3
| sP23_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f428]) ).
fof(f435,plain,
( ~ sP23_prd
| sP21_prd ),
inference(cnf_transformation,[status(thm)],[f428]) ).
fof(f436,plain,
( op(e0,op(e0,e3)) = e3
| op(e0,op(e0,e2)) = e2
| op(e0,op(e0,e1)) = e1
| op(e0,op(e0,e0)) = e0
| op(e1,e1) = e0
| op(e1,e0) != e1
| sP21_prd ),
inference(cnf_transformation,[status(thm)],[f428]) ).
fof(f437,definition,
( sP24_prd
<=> ( ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e2) != e0
& op(e0,e0) = e2 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e1) != e0
& op(e0,e0) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP24_prd])],[]) ).
fof(f438,plain,
( sP22_prd
<=> ( ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e0,e3) != e0
& op(e0,e0) = e3 )
| sP24_prd ) ),
inference(formula_renaming,[status(thm)],[f415,f437]) ).
fof(f439,plain,
( ( ( ( op(e3,op(e3,e3)) = e3
| op(e3,op(e3,e2)) = e2
| op(e3,op(e3,e1)) = e1
| op(e3,op(e3,e0)) = e0
| op(e0,e3) = e0
| op(e0,e0) != e3 )
& ~ sP24_prd )
| sP22_prd )
& ( ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e0,e3) != e0
& op(e0,e0) = e3 )
| sP24_prd
| ~ sP22_prd ) ),
inference(NNF_transformation,[status(thm)],[f438]) ).
fof(f440,plain,
( op(e0,e0) = e3
| sP24_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f439]) ).
fof(f441,plain,
( op(e0,e3) != e0
| sP24_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f439]) ).
fof(f442,plain,
( op(e3,op(e3,e0)) != e0
| sP24_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f439]) ).
fof(f443,plain,
( op(e3,op(e3,e1)) != e1
| sP24_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f439]) ).
fof(f444,plain,
( op(e3,op(e3,e2)) != e2
| sP24_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f439]) ).
fof(f445,plain,
( op(e3,op(e3,e3)) != e3
| sP24_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f439]) ).
fof(f446,plain,
( ~ sP24_prd
| sP22_prd ),
inference(cnf_transformation,[status(thm)],[f439]) ).
fof(f447,plain,
( op(e3,op(e3,e3)) = e3
| op(e3,op(e3,e2)) = e2
| op(e3,op(e3,e1)) = e1
| op(e3,op(e3,e0)) = e0
| op(e0,e3) = e0
| op(e0,e0) != e3
| sP22_prd ),
inference(cnf_transformation,[status(thm)],[f439]) ).
fof(f448,definition,
( sP25_prd
<=> ( ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP25_prd])],[]) ).
fof(f449,plain,
( sP23_prd
<=> ( ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| sP25_prd ) ),
inference(formula_renaming,[status(thm)],[f426,f448]) ).
fof(f450,plain,
( ( ( ( op(e3,op(e3,e3)) = e3
| op(e3,op(e3,e2)) = e2
| op(e3,op(e3,e1)) = e1
| op(e3,op(e3,e0)) = e0
| op(e0,e0) = e3
| op(e0,e3) != e0 )
& ~ sP25_prd )
| sP23_prd )
& ( ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| sP25_prd
| ~ sP23_prd ) ),
inference(NNF_transformation,[status(thm)],[f449]) ).
fof(f451,plain,
( op(e0,e3) = e0
| sP25_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f450]) ).
fof(f452,plain,
( op(e0,e0) != e3
| sP25_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f450]) ).
fof(f453,plain,
( op(e3,op(e3,e0)) != e0
| sP25_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f450]) ).
fof(f454,plain,
( op(e3,op(e3,e1)) != e1
| sP25_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f450]) ).
fof(f455,plain,
( op(e3,op(e3,e2)) != e2
| sP25_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f450]) ).
fof(f456,plain,
( op(e3,op(e3,e3)) != e3
| sP25_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f450]) ).
fof(f457,plain,
( ~ sP25_prd
| sP23_prd ),
inference(cnf_transformation,[status(thm)],[f450]) ).
fof(f458,plain,
( op(e3,op(e3,e3)) = e3
| op(e3,op(e3,e2)) = e2
| op(e3,op(e3,e1)) = e1
| op(e3,op(e3,e0)) = e0
| op(e0,e0) = e3
| op(e0,e3) != e0
| sP23_prd ),
inference(cnf_transformation,[status(thm)],[f450]) ).
fof(f459,definition,
( sP26_prd
<=> ( ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e1) != e0
& op(e0,e0) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP26_prd])],[]) ).
fof(f460,plain,
( sP24_prd
<=> ( ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e2) != e0
& op(e0,e0) = e2 )
| sP26_prd ) ),
inference(formula_renaming,[status(thm)],[f437,f459]) ).
fof(f461,plain,
( ( ( ( op(e2,op(e2,e3)) = e3
| op(e2,op(e2,e2)) = e2
| op(e2,op(e2,e1)) = e1
| op(e2,op(e2,e0)) = e0
| op(e0,e2) = e0
| op(e0,e0) != e2 )
& ~ sP26_prd )
| sP24_prd )
& ( ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e2) != e0
& op(e0,e0) = e2 )
| sP26_prd
| ~ sP24_prd ) ),
inference(NNF_transformation,[status(thm)],[f460]) ).
fof(f462,plain,
( op(e0,e0) = e2
| sP26_prd
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f461]) ).
fof(f463,plain,
( op(e0,e2) != e0
| sP26_prd
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f461]) ).
fof(f464,plain,
( op(e2,op(e2,e0)) != e0
| sP26_prd
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f461]) ).
fof(f465,plain,
( op(e2,op(e2,e1)) != e1
| sP26_prd
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f461]) ).
fof(f466,plain,
( op(e2,op(e2,e2)) != e2
| sP26_prd
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f461]) ).
fof(f467,plain,
( op(e2,op(e2,e3)) != e3
| sP26_prd
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f461]) ).
fof(f468,plain,
( ~ sP26_prd
| sP24_prd ),
inference(cnf_transformation,[status(thm)],[f461]) ).
fof(f469,plain,
( op(e2,op(e2,e3)) = e3
| op(e2,op(e2,e2)) = e2
| op(e2,op(e2,e1)) = e1
| op(e2,op(e2,e0)) = e0
| op(e0,e2) = e0
| op(e0,e0) != e2
| sP24_prd ),
inference(cnf_transformation,[status(thm)],[f461]) ).
fof(f470,definition,
( sP27_prd
<=> ( ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP27_prd])],[]) ).
fof(f471,plain,
( sP25_prd
<=> ( ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| sP27_prd ) ),
inference(formula_renaming,[status(thm)],[f448,f470]) ).
fof(f472,plain,
( ( ( ( op(e2,op(e2,e3)) = e3
| op(e2,op(e2,e2)) = e2
| op(e2,op(e2,e1)) = e1
| op(e2,op(e2,e0)) = e0
| op(e0,e0) = e2
| op(e0,e2) != e0 )
& ~ sP27_prd )
| sP25_prd )
& ( ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| sP27_prd
| ~ sP25_prd ) ),
inference(NNF_transformation,[status(thm)],[f471]) ).
fof(f473,plain,
( op(e0,e2) = e0
| sP27_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f472]) ).
fof(f474,plain,
( op(e0,e0) != e2
| sP27_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f472]) ).
fof(f475,plain,
( op(e2,op(e2,e0)) != e0
| sP27_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f472]) ).
fof(f476,plain,
( op(e2,op(e2,e1)) != e1
| sP27_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f472]) ).
fof(f477,plain,
( op(e2,op(e2,e2)) != e2
| sP27_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f472]) ).
fof(f478,plain,
( op(e2,op(e2,e3)) != e3
| sP27_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f472]) ).
fof(f479,plain,
( ~ sP27_prd
| sP25_prd ),
inference(cnf_transformation,[status(thm)],[f472]) ).
fof(f480,plain,
( op(e2,op(e2,e3)) = e3
| op(e2,op(e2,e2)) = e2
| op(e2,op(e2,e1)) = e1
| op(e2,op(e2,e0)) = e0
| op(e0,e0) = e2
| op(e0,e2) != e0
| sP25_prd ),
inference(cnf_transformation,[status(thm)],[f472]) ).
fof(f481,definition,
( sP28_prd
<=> ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ),
introduced(definition,[new_symbols(definition,[sP28_prd])],[]) ).
fof(f482,plain,
( sP26_prd
<=> ( ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e1) != e0
& op(e0,e0) = e1 )
| sP28_prd ) ),
inference(formula_renaming,[status(thm)],[f459,f481]) ).
fof(f483,plain,
( ( ( ( op(e1,op(e1,e3)) = e3
| op(e1,op(e1,e2)) = e2
| op(e1,op(e1,e1)) = e1
| op(e1,op(e1,e0)) = e0
| op(e0,e1) = e0
| op(e0,e0) != e1 )
& ~ sP28_prd )
| sP26_prd )
& ( ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e1) != e0
& op(e0,e0) = e1 )
| sP28_prd
| ~ sP26_prd ) ),
inference(NNF_transformation,[status(thm)],[f482]) ).
fof(f484,plain,
( op(e0,e0) = e1
| sP28_prd
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f483]) ).
fof(f485,plain,
( op(e0,e1) != e0
| sP28_prd
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f483]) ).
fof(f486,plain,
( op(e1,op(e1,e0)) != e0
| sP28_prd
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f483]) ).
fof(f487,plain,
( op(e1,op(e1,e1)) != e1
| sP28_prd
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f483]) ).
fof(f488,plain,
( op(e1,op(e1,e2)) != e2
| sP28_prd
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f483]) ).
fof(f489,plain,
( op(e1,op(e1,e3)) != e3
| sP28_prd
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f483]) ).
fof(f490,plain,
( ~ sP28_prd
| sP26_prd ),
inference(cnf_transformation,[status(thm)],[f483]) ).
fof(f491,plain,
( op(e1,op(e1,e3)) = e3
| op(e1,op(e1,e2)) = e2
| op(e1,op(e1,e1)) = e1
| op(e1,op(e1,e0)) = e0
| op(e0,e1) = e0
| op(e0,e0) != e1
| sP26_prd ),
inference(cnf_transformation,[status(thm)],[f483]) ).
fof(f492,definition,
( sP29_prd
<=> ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ),
introduced(definition,[new_symbols(definition,[sP29_prd])],[]) ).
fof(f493,plain,
( sP27_prd
<=> ( ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| sP29_prd ) ),
inference(formula_renaming,[status(thm)],[f470,f492]) ).
fof(f494,plain,
( ( ( ( op(e1,op(e1,e3)) = e3
| op(e1,op(e1,e2)) = e2
| op(e1,op(e1,e1)) = e1
| op(e1,op(e1,e0)) = e0
| op(e0,e0) = e1
| op(e0,e1) != e0 )
& ~ sP29_prd )
| sP27_prd )
& ( ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| sP29_prd
| ~ sP27_prd ) ),
inference(NNF_transformation,[status(thm)],[f493]) ).
fof(f495,plain,
( op(e0,e1) = e0
| sP29_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f494]) ).
fof(f496,plain,
( op(e0,e0) != e1
| sP29_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f494]) ).
fof(f497,plain,
( op(e1,op(e1,e0)) != e0
| sP29_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f494]) ).
fof(f498,plain,
( op(e1,op(e1,e1)) != e1
| sP29_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f494]) ).
fof(f499,plain,
( op(e1,op(e1,e2)) != e2
| sP29_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f494]) ).
fof(f500,plain,
( op(e1,op(e1,e3)) != e3
| sP29_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f494]) ).
fof(f501,plain,
( ~ sP29_prd
| sP27_prd ),
inference(cnf_transformation,[status(thm)],[f494]) ).
fof(f502,plain,
( op(e1,op(e1,e3)) = e3
| op(e1,op(e1,e2)) = e2
| op(e1,op(e1,e1)) = e1
| op(e1,op(e1,e0)) = e0
| op(e0,e0) = e1
| op(e0,e1) != e0
| sP27_prd ),
inference(cnf_transformation,[status(thm)],[f494]) ).
fof(f503,plain,
( ( op(e0,op(e0,e3)) = e3
| op(e0,op(e0,e2)) = e2
| op(e0,op(e0,e1)) = e1
| op(e0,op(e0,e0)) = e0
| op(e0,e0) = e0
| op(e0,e0) != e0
| sP28_prd )
& ( ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ~ sP28_prd ) ),
inference(NNF_transformation,[status(thm)],[f481]) ).
fof(f504,plain,
( op(e0,e0) = e0
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f503]) ).
fof(f505,plain,
( op(e0,e0) != e0
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f503]) ).
fof(f506,plain,
( op(e0,op(e0,e0)) != e0
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f503]) ).
fof(f507,plain,
( op(e0,op(e0,e1)) != e1
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f503]) ).
fof(f508,plain,
( op(e0,op(e0,e2)) != e2
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f503]) ).
fof(f509,plain,
( op(e0,op(e0,e3)) != e3
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f503]) ).
fof(f511,plain,
( ( op(e0,op(e0,e3)) = e3
| op(e0,op(e0,e2)) = e2
| op(e0,op(e0,e1)) = e1
| op(e0,op(e0,e0)) = e0
| op(e0,e0) = e0
| op(e0,e0) != e0
| sP29_prd )
& ( ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ~ sP29_prd ) ),
inference(NNF_transformation,[status(thm)],[f492]) ).
fof(f512,plain,
( op(e0,e0) = e0
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f511]) ).
fof(f513,plain,
( op(e0,e0) != e0
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f511]) ).
fof(f514,plain,
( op(e0,op(e0,e0)) != e0
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f511]) ).
fof(f515,plain,
( op(e0,op(e0,e1)) != e1
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f511]) ).
fof(f516,plain,
( op(e0,op(e0,e2)) != e2
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f511]) ).
fof(f517,plain,
( op(e0,op(e0,e3)) != e3
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f511]) ).
fof(f519,definition,
( sQ0_spl
<=> op(e0,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f520,plain,
( ~ sQ0_spl
| op(e0,e0) = e0 ),
inference(component_clause,[status(thm)],[f519]) ).
fof(f522,definition,
( sQ1_spl
<=> op(e0,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f523,plain,
( ~ sQ1_spl
| op(e0,e0) = e1 ),
inference(component_clause,[status(thm)],[f522]) ).
fof(f525,definition,
( sQ2_spl
<=> op(e0,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f526,plain,
( ~ sQ2_spl
| op(e0,e0) = e2 ),
inference(component_clause,[status(thm)],[f525]) ).
fof(f528,definition,
( sQ3_spl
<=> op(e0,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f529,plain,
( ~ sQ3_spl
| op(e0,e0) = e3 ),
inference(component_clause,[status(thm)],[f528]) ).
fof(f531,plain,
( sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f30,f519,f522,f525,f528]) ).
fof(f532,definition,
( sQ4_spl
<=> op(e0,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f533,plain,
( ~ sQ4_spl
| op(e0,e1) = e0 ),
inference(component_clause,[status(thm)],[f532]) ).
fof(f535,definition,
( sQ5_spl
<=> op(e0,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f536,plain,
( ~ sQ5_spl
| op(e0,e1) = e1 ),
inference(component_clause,[status(thm)],[f535]) ).
fof(f538,definition,
( sQ6_spl
<=> op(e0,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f539,plain,
( ~ sQ6_spl
| op(e0,e1) = e2 ),
inference(component_clause,[status(thm)],[f538]) ).
fof(f541,definition,
( sQ7_spl
<=> op(e0,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f542,plain,
( ~ sQ7_spl
| op(e0,e1) = e3 ),
inference(component_clause,[status(thm)],[f541]) ).
fof(f544,plain,
( sQ7_spl
| sQ6_spl
| sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f31,f532,f535,f538,f541]) ).
fof(f545,definition,
( sQ8_spl
<=> op(e0,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f546,plain,
( ~ sQ8_spl
| op(e0,e2) = e0 ),
inference(component_clause,[status(thm)],[f545]) ).
fof(f548,definition,
( sQ9_spl
<=> op(e0,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f549,plain,
( ~ sQ9_spl
| op(e0,e2) = e1 ),
inference(component_clause,[status(thm)],[f548]) ).
fof(f551,definition,
( sQ10_spl
<=> op(e0,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f552,plain,
( ~ sQ10_spl
| op(e0,e2) = e2 ),
inference(component_clause,[status(thm)],[f551]) ).
fof(f554,definition,
( sQ11_spl
<=> op(e0,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f555,plain,
( ~ sQ11_spl
| op(e0,e2) = e3 ),
inference(component_clause,[status(thm)],[f554]) ).
fof(f557,plain,
( sQ11_spl
| sQ10_spl
| sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f32,f545,f548,f551,f554]) ).
fof(f558,definition,
( sQ12_spl
<=> op(e0,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f559,plain,
( ~ sQ12_spl
| op(e0,e3) = e0 ),
inference(component_clause,[status(thm)],[f558]) ).
fof(f561,definition,
( sQ13_spl
<=> op(e0,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f562,plain,
( ~ sQ13_spl
| op(e0,e3) = e1 ),
inference(component_clause,[status(thm)],[f561]) ).
fof(f564,definition,
( sQ14_spl
<=> op(e0,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f565,plain,
( ~ sQ14_spl
| op(e0,e3) = e2 ),
inference(component_clause,[status(thm)],[f564]) ).
fof(f567,definition,
( sQ15_spl
<=> op(e0,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f568,plain,
( ~ sQ15_spl
| op(e0,e3) = e3 ),
inference(component_clause,[status(thm)],[f567]) ).
fof(f570,plain,
( sQ15_spl
| sQ14_spl
| sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f33,f558,f561,f564,f567]) ).
fof(f571,definition,
( sQ16_spl
<=> op(e1,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f572,plain,
( ~ sQ16_spl
| op(e1,e0) = e0 ),
inference(component_clause,[status(thm)],[f571]) ).
fof(f574,definition,
( sQ17_spl
<=> op(e1,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f575,plain,
( ~ sQ17_spl
| op(e1,e0) = e1 ),
inference(component_clause,[status(thm)],[f574]) ).
fof(f577,definition,
( sQ18_spl
<=> op(e1,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f578,plain,
( ~ sQ18_spl
| op(e1,e0) = e2 ),
inference(component_clause,[status(thm)],[f577]) ).
fof(f580,definition,
( sQ19_spl
<=> op(e1,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f581,plain,
( ~ sQ19_spl
| op(e1,e0) = e3 ),
inference(component_clause,[status(thm)],[f580]) ).
fof(f583,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f34,f571,f574,f577,f580]) ).
fof(f584,definition,
( sQ20_spl
<=> op(e1,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f585,plain,
( ~ sQ20_spl
| op(e1,e1) = e0 ),
inference(component_clause,[status(thm)],[f584]) ).
fof(f587,definition,
( sQ21_spl
<=> op(e1,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f588,plain,
( ~ sQ21_spl
| op(e1,e1) = e1 ),
inference(component_clause,[status(thm)],[f587]) ).
fof(f590,definition,
( sQ22_spl
<=> op(e1,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f591,plain,
( ~ sQ22_spl
| op(e1,e1) = e2 ),
inference(component_clause,[status(thm)],[f590]) ).
fof(f593,definition,
( sQ23_spl
<=> op(e1,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f594,plain,
( ~ sQ23_spl
| op(e1,e1) = e3 ),
inference(component_clause,[status(thm)],[f593]) ).
fof(f596,plain,
( sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f35,f584,f587,f590,f593]) ).
fof(f597,definition,
( sQ24_spl
<=> op(e1,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f598,plain,
( ~ sQ24_spl
| op(e1,e2) = e0 ),
inference(component_clause,[status(thm)],[f597]) ).
fof(f600,definition,
( sQ25_spl
<=> op(e1,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f601,plain,
( ~ sQ25_spl
| op(e1,e2) = e1 ),
inference(component_clause,[status(thm)],[f600]) ).
fof(f603,definition,
( sQ26_spl
<=> op(e1,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f604,plain,
( ~ sQ26_spl
| op(e1,e2) = e2 ),
inference(component_clause,[status(thm)],[f603]) ).
fof(f606,definition,
( sQ27_spl
<=> op(e1,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f607,plain,
( ~ sQ27_spl
| op(e1,e2) = e3 ),
inference(component_clause,[status(thm)],[f606]) ).
fof(f609,plain,
( sQ27_spl
| sQ26_spl
| sQ25_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f36,f597,f600,f603,f606]) ).
fof(f610,definition,
( sQ28_spl
<=> op(e1,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f611,plain,
( ~ sQ28_spl
| op(e1,e3) = e0 ),
inference(component_clause,[status(thm)],[f610]) ).
fof(f613,definition,
( sQ29_spl
<=> op(e1,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f614,plain,
( ~ sQ29_spl
| op(e1,e3) = e1 ),
inference(component_clause,[status(thm)],[f613]) ).
fof(f616,definition,
( sQ30_spl
<=> op(e1,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f617,plain,
( ~ sQ30_spl
| op(e1,e3) = e2 ),
inference(component_clause,[status(thm)],[f616]) ).
fof(f619,definition,
( sQ31_spl
<=> op(e1,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f620,plain,
( ~ sQ31_spl
| op(e1,e3) = e3 ),
inference(component_clause,[status(thm)],[f619]) ).
fof(f622,plain,
( sQ31_spl
| sQ30_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f37,f610,f613,f616,f619]) ).
fof(f623,definition,
( sQ32_spl
<=> op(e2,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f624,plain,
( ~ sQ32_spl
| op(e2,e0) = e0 ),
inference(component_clause,[status(thm)],[f623]) ).
fof(f626,definition,
( sQ33_spl
<=> op(e2,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f627,plain,
( ~ sQ33_spl
| op(e2,e0) = e1 ),
inference(component_clause,[status(thm)],[f626]) ).
fof(f629,definition,
( sQ34_spl
<=> op(e2,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f630,plain,
( ~ sQ34_spl
| op(e2,e0) = e2 ),
inference(component_clause,[status(thm)],[f629]) ).
fof(f632,definition,
( sQ35_spl
<=> op(e2,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f633,plain,
( ~ sQ35_spl
| op(e2,e0) = e3 ),
inference(component_clause,[status(thm)],[f632]) ).
fof(f635,plain,
( sQ35_spl
| sQ34_spl
| sQ33_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f38,f623,f626,f629,f632]) ).
fof(f636,definition,
( sQ36_spl
<=> op(e2,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f637,plain,
( ~ sQ36_spl
| op(e2,e1) = e0 ),
inference(component_clause,[status(thm)],[f636]) ).
fof(f639,definition,
( sQ37_spl
<=> op(e2,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f640,plain,
( ~ sQ37_spl
| op(e2,e1) = e1 ),
inference(component_clause,[status(thm)],[f639]) ).
fof(f642,definition,
( sQ38_spl
<=> op(e2,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f643,plain,
( ~ sQ38_spl
| op(e2,e1) = e2 ),
inference(component_clause,[status(thm)],[f642]) ).
fof(f645,definition,
( sQ39_spl
<=> op(e2,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f646,plain,
( ~ sQ39_spl
| op(e2,e1) = e3 ),
inference(component_clause,[status(thm)],[f645]) ).
fof(f648,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f39,f636,f639,f642,f645]) ).
fof(f649,definition,
( sQ40_spl
<=> op(e2,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f650,plain,
( ~ sQ40_spl
| op(e2,e2) = e0 ),
inference(component_clause,[status(thm)],[f649]) ).
fof(f652,definition,
( sQ41_spl
<=> op(e2,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f653,plain,
( ~ sQ41_spl
| op(e2,e2) = e1 ),
inference(component_clause,[status(thm)],[f652]) ).
fof(f655,definition,
( sQ42_spl
<=> op(e2,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f656,plain,
( ~ sQ42_spl
| op(e2,e2) = e2 ),
inference(component_clause,[status(thm)],[f655]) ).
fof(f658,definition,
( sQ43_spl
<=> op(e2,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f659,plain,
( ~ sQ43_spl
| op(e2,e2) = e3 ),
inference(component_clause,[status(thm)],[f658]) ).
fof(f661,plain,
( sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f40,f649,f652,f655,f658]) ).
fof(f662,definition,
( sQ44_spl
<=> op(e2,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f663,plain,
( ~ sQ44_spl
| op(e2,e3) = e0 ),
inference(component_clause,[status(thm)],[f662]) ).
fof(f665,definition,
( sQ45_spl
<=> op(e2,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f666,plain,
( ~ sQ45_spl
| op(e2,e3) = e1 ),
inference(component_clause,[status(thm)],[f665]) ).
fof(f668,definition,
( sQ46_spl
<=> op(e2,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f669,plain,
( ~ sQ46_spl
| op(e2,e3) = e2 ),
inference(component_clause,[status(thm)],[f668]) ).
fof(f671,definition,
( sQ47_spl
<=> op(e2,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f672,plain,
( ~ sQ47_spl
| op(e2,e3) = e3 ),
inference(component_clause,[status(thm)],[f671]) ).
fof(f674,plain,
( sQ47_spl
| sQ46_spl
| sQ45_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f41,f662,f665,f668,f671]) ).
fof(f675,definition,
( sQ48_spl
<=> op(e3,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f676,plain,
( ~ sQ48_spl
| op(e3,e0) = e0 ),
inference(component_clause,[status(thm)],[f675]) ).
fof(f678,definition,
( sQ49_spl
<=> op(e3,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f679,plain,
( ~ sQ49_spl
| op(e3,e0) = e1 ),
inference(component_clause,[status(thm)],[f678]) ).
fof(f681,definition,
( sQ50_spl
<=> op(e3,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f682,plain,
( ~ sQ50_spl
| op(e3,e0) = e2 ),
inference(component_clause,[status(thm)],[f681]) ).
fof(f684,definition,
( sQ51_spl
<=> op(e3,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f685,plain,
( ~ sQ51_spl
| op(e3,e0) = e3 ),
inference(component_clause,[status(thm)],[f684]) ).
fof(f687,plain,
( sQ51_spl
| sQ50_spl
| sQ49_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f42,f675,f678,f681,f684]) ).
fof(f688,definition,
( sQ52_spl
<=> op(e3,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f689,plain,
( ~ sQ52_spl
| op(e3,e1) = e0 ),
inference(component_clause,[status(thm)],[f688]) ).
fof(f691,definition,
( sQ53_spl
<=> op(e3,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f692,plain,
( ~ sQ53_spl
| op(e3,e1) = e1 ),
inference(component_clause,[status(thm)],[f691]) ).
fof(f694,definition,
( sQ54_spl
<=> op(e3,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f695,plain,
( ~ sQ54_spl
| op(e3,e1) = e2 ),
inference(component_clause,[status(thm)],[f694]) ).
fof(f697,definition,
( sQ55_spl
<=> op(e3,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f698,plain,
( ~ sQ55_spl
| op(e3,e1) = e3 ),
inference(component_clause,[status(thm)],[f697]) ).
fof(f700,plain,
( sQ55_spl
| sQ54_spl
| sQ53_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f43,f688,f691,f694,f697]) ).
fof(f701,definition,
( sQ56_spl
<=> op(e3,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f702,plain,
( ~ sQ56_spl
| op(e3,e2) = e0 ),
inference(component_clause,[status(thm)],[f701]) ).
fof(f704,definition,
( sQ57_spl
<=> op(e3,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f705,plain,
( ~ sQ57_spl
| op(e3,e2) = e1 ),
inference(component_clause,[status(thm)],[f704]) ).
fof(f707,definition,
( sQ58_spl
<=> op(e3,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f708,plain,
( ~ sQ58_spl
| op(e3,e2) = e2 ),
inference(component_clause,[status(thm)],[f707]) ).
fof(f710,definition,
( sQ59_spl
<=> op(e3,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f711,plain,
( ~ sQ59_spl
| op(e3,e2) = e3 ),
inference(component_clause,[status(thm)],[f710]) ).
fof(f713,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f44,f701,f704,f707,f710]) ).
fof(f714,definition,
( sQ60_spl
<=> op(e3,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f715,plain,
( ~ sQ60_spl
| op(e3,e3) = e0 ),
inference(component_clause,[status(thm)],[f714]) ).
fof(f717,definition,
( sQ61_spl
<=> op(e3,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f718,plain,
( ~ sQ61_spl
| op(e3,e3) = e1 ),
inference(component_clause,[status(thm)],[f717]) ).
fof(f720,definition,
( sQ62_spl
<=> op(e3,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f721,plain,
( ~ sQ62_spl
| op(e3,e3) = e2 ),
inference(component_clause,[status(thm)],[f720]) ).
fof(f723,definition,
( sQ63_spl
<=> op(e3,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f724,plain,
( ~ sQ63_spl
| op(e3,e3) = e3 ),
inference(component_clause,[status(thm)],[f723]) ).
fof(f726,plain,
( sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f45,f714,f717,f720,f723]) ).
fof(f727,plain,
( sQ12_spl
| sQ8_spl
| sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f46,f519,f532,f545,f558]) ).
fof(f728,plain,
( sQ48_spl
| sQ32_spl
| sQ16_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f47,f519,f571,f623,f675]) ).
fof(f729,plain,
( sQ13_spl
| sQ9_spl
| sQ5_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f48,f522,f535,f548,f561]) ).
fof(f730,plain,
( sQ49_spl
| sQ33_spl
| sQ17_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f49,f522,f574,f626,f678]) ).
fof(f731,plain,
( sQ14_spl
| sQ10_spl
| sQ6_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f50,f525,f538,f551,f564]) ).
fof(f732,plain,
( sQ50_spl
| sQ34_spl
| sQ18_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f51,f525,f577,f629,f681]) ).
fof(f733,plain,
( sQ15_spl
| sQ11_spl
| sQ7_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f52,f528,f541,f554,f567]) ).
fof(f734,plain,
( sQ51_spl
| sQ35_spl
| sQ19_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f53,f528,f580,f632,f684]) ).
fof(f735,plain,
( sQ28_spl
| sQ24_spl
| sQ20_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f54,f571,f584,f597,f610]) ).
fof(f736,plain,
( sQ52_spl
| sQ36_spl
| sQ20_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f55,f532,f584,f636,f688]) ).
fof(f737,plain,
( sQ29_spl
| sQ25_spl
| sQ21_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f56,f574,f587,f600,f613]) ).
fof(f738,plain,
( sQ53_spl
| sQ37_spl
| sQ21_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f57,f535,f587,f639,f691]) ).
fof(f739,plain,
( sQ30_spl
| sQ26_spl
| sQ22_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f58,f577,f590,f603,f616]) ).
fof(f740,plain,
( sQ54_spl
| sQ38_spl
| sQ22_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f59,f538,f590,f642,f694]) ).
fof(f741,plain,
( sQ31_spl
| sQ27_spl
| sQ23_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f60,f580,f593,f606,f619]) ).
fof(f742,plain,
( sQ55_spl
| sQ39_spl
| sQ23_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f61,f541,f593,f645,f697]) ).
fof(f743,plain,
( sQ44_spl
| sQ40_spl
| sQ36_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f62,f623,f636,f649,f662]) ).
fof(f744,plain,
( sQ56_spl
| sQ40_spl
| sQ24_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f63,f545,f597,f649,f701]) ).
fof(f745,plain,
( sQ45_spl
| sQ41_spl
| sQ37_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f64,f626,f639,f652,f665]) ).
fof(f746,plain,
( sQ57_spl
| sQ41_spl
| sQ25_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f65,f548,f600,f652,f704]) ).
fof(f747,plain,
( sQ46_spl
| sQ42_spl
| sQ38_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f66,f629,f642,f655,f668]) ).
fof(f748,plain,
( sQ58_spl
| sQ42_spl
| sQ26_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f67,f551,f603,f655,f707]) ).
fof(f749,plain,
( sQ47_spl
| sQ43_spl
| sQ39_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f68,f632,f645,f658,f671]) ).
fof(f750,plain,
( sQ59_spl
| sQ43_spl
| sQ27_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f69,f554,f606,f658,f710]) ).
fof(f751,plain,
( sQ60_spl
| sQ56_spl
| sQ52_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f70,f675,f688,f701,f714]) ).
fof(f752,plain,
( sQ60_spl
| sQ44_spl
| sQ28_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f71,f558,f610,f662,f714]) ).
fof(f753,plain,
( sQ61_spl
| sQ57_spl
| sQ53_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f72,f678,f691,f704,f717]) ).
fof(f754,plain,
( sQ61_spl
| sQ45_spl
| sQ29_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f73,f561,f613,f665,f717]) ).
fof(f755,plain,
( sQ62_spl
| sQ58_spl
| sQ54_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f74,f681,f694,f707,f720]) ).
fof(f756,plain,
( sQ62_spl
| sQ46_spl
| sQ30_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f75,f564,f616,f668,f720]) ).
fof(f757,plain,
( sQ63_spl
| sQ59_spl
| sQ55_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f76,f684,f697,f710,f723]) ).
fof(f758,plain,
( sQ63_spl
| sQ47_spl
| sQ31_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f77,f567,f619,f671,f723]) ).
fof(f759,definition,
( sQ64_spl
<=> sP0_prd ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f762,plain,
( sQ63_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f135,f759,f723]) ).
fof(f763,plain,
( ~ sQ63_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f136,f759,f723]) ).
fof(f764,definition,
( sQ65_spl
<=> op(e3,op(e3,e0)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f765,plain,
( ~ sQ65_spl
| op(e3,op(e3,e0)) = e0 ),
inference(component_clause,[status(thm)],[f764]) ).
fof(f766,plain,
( sQ65_spl
| op(e3,op(e3,e0)) != e0 ),
inference(component_clause,[status(thm)],[f764]) ).
fof(f767,plain,
( ~ sQ65_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f137,f759,f764]) ).
fof(f768,definition,
( sQ66_spl
<=> op(e3,op(e3,e1)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f769,plain,
( ~ sQ66_spl
| op(e3,op(e3,e1)) = e1 ),
inference(component_clause,[status(thm)],[f768]) ).
fof(f770,plain,
( sQ66_spl
| op(e3,op(e3,e1)) != e1 ),
inference(component_clause,[status(thm)],[f768]) ).
fof(f771,plain,
( ~ sQ66_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f138,f759,f768]) ).
fof(f772,definition,
( sQ67_spl
<=> op(e3,op(e3,e2)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f774,plain,
( sQ67_spl
| op(e3,op(e3,e2)) != e2 ),
inference(component_clause,[status(thm)],[f772]) ).
fof(f775,plain,
( ~ sQ67_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f139,f759,f772]) ).
fof(f776,definition,
( sQ68_spl
<=> op(e3,op(e3,e3)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f778,plain,
( sQ68_spl
| op(e3,op(e3,e3)) != e3 ),
inference(component_clause,[status(thm)],[f776]) ).
fof(f779,plain,
( ~ sQ68_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f140,f759,f776]) ).
fof(f780,definition,
( sQ69_spl
<=> sP1_prd ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f783,plain,
( sQ63_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f141,f780,f723]) ).
fof(f784,plain,
( ~ sQ63_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f142,f780,f723]) ).
fof(f785,plain,
( ~ sQ65_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f143,f780,f764]) ).
fof(f786,plain,
( ~ sQ66_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f144,f780,f768]) ).
fof(f787,plain,
( ~ sQ67_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f145,f780,f772]) ).
fof(f789,definition,
( sQ70_spl
<=> e1 = op(op(op(e0,e0),e0),op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f791,plain,
( sQ70_spl
| e1 != op(op(op(e0,e0),e0),op(e0,e0)) ),
inference(component_clause,[status(thm)],[f789]) ).
fof(f792,definition,
( sQ71_spl
<=> e2 = op(op(e0,e0),e0) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f794,plain,
( sQ71_spl
| e2 != op(op(e0,e0),e0) ),
inference(component_clause,[status(thm)],[f792]) ).
fof(f795,plain,
( ~ sQ3_spl
| ~ sQ71_spl
| ~ sQ70_spl ),
inference(split_clause,[status(thm)],[f148,f789,f792,f528]) ).
fof(f796,definition,
( sQ72_spl
<=> e3 = op(op(e0,e0),e0) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f797,plain,
( ~ sQ72_spl
| e3 = op(op(e0,e0),e0) ),
inference(component_clause,[status(thm)],[f796]) ).
fof(f798,plain,
( sQ72_spl
| e3 != op(op(e0,e0),e0) ),
inference(component_clause,[status(thm)],[f796]) ).
fof(f799,plain,
( ~ sQ2_spl
| ~ sQ72_spl
| ~ sQ70_spl ),
inference(split_clause,[status(thm)],[f150,f789,f796,f525]) ).
fof(f800,definition,
( sQ73_spl
<=> e2 = op(op(op(e0,e0),e0),op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f802,plain,
( sQ73_spl
| e2 != op(op(op(e0,e0),e0),op(e0,e0)) ),
inference(component_clause,[status(thm)],[f800]) ).
fof(f803,definition,
( sQ74_spl
<=> e1 = op(op(e0,e0),e0) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f804,plain,
( ~ sQ74_spl
| e1 = op(op(e0,e0),e0) ),
inference(component_clause,[status(thm)],[f803]) ).
fof(f805,plain,
( sQ74_spl
| e1 != op(op(e0,e0),e0) ),
inference(component_clause,[status(thm)],[f803]) ).
fof(f806,plain,
( ~ sQ3_spl
| ~ sQ74_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f152,f800,f803,f528]) ).
fof(f807,plain,
( ~ sQ1_spl
| ~ sQ72_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f154,f800,f796,f522]) ).
fof(f808,definition,
( sQ75_spl
<=> e3 = op(op(op(e0,e0),e0),op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f810,plain,
( sQ75_spl
| e3 != op(op(op(e0,e0),e0),op(e0,e0)) ),
inference(component_clause,[status(thm)],[f808]) ).
fof(f811,plain,
( ~ sQ2_spl
| ~ sQ74_spl
| ~ sQ75_spl ),
inference(split_clause,[status(thm)],[f156,f808,f803,f525]) ).
fof(f812,plain,
( ~ sQ1_spl
| ~ sQ71_spl
| ~ sQ75_spl ),
inference(split_clause,[status(thm)],[f158,f808,f792,f522]) ).
fof(f813,definition,
( sQ76_spl
<=> e0 = op(op(op(e1,e1),e1),op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f815,plain,
( sQ76_spl
| e0 != op(op(op(e1,e1),e1),op(e1,e1)) ),
inference(component_clause,[status(thm)],[f813]) ).
fof(f816,definition,
( sQ77_spl
<=> e2 = op(op(e1,e1),e1) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f818,plain,
( sQ77_spl
| e2 != op(op(e1,e1),e1) ),
inference(component_clause,[status(thm)],[f816]) ).
fof(f819,plain,
( ~ sQ23_spl
| ~ sQ77_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f160,f813,f816,f593]) ).
fof(f820,definition,
( sQ78_spl
<=> e3 = op(op(e1,e1),e1) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f821,plain,
( ~ sQ78_spl
| e3 = op(op(e1,e1),e1) ),
inference(component_clause,[status(thm)],[f820]) ).
fof(f822,plain,
( sQ78_spl
| e3 != op(op(e1,e1),e1) ),
inference(component_clause,[status(thm)],[f820]) ).
fof(f823,plain,
( ~ sQ22_spl
| ~ sQ78_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f162,f813,f820,f590]) ).
fof(f824,definition,
( sQ79_spl
<=> e2 = op(op(op(e1,e1),e1),op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f826,plain,
( sQ79_spl
| e2 != op(op(op(e1,e1),e1),op(e1,e1)) ),
inference(component_clause,[status(thm)],[f824]) ).
fof(f827,definition,
( sQ80_spl
<=> e0 = op(op(e1,e1),e1) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f828,plain,
( ~ sQ80_spl
| e0 = op(op(e1,e1),e1) ),
inference(component_clause,[status(thm)],[f827]) ).
fof(f829,plain,
( sQ80_spl
| e0 != op(op(e1,e1),e1) ),
inference(component_clause,[status(thm)],[f827]) ).
fof(f830,plain,
( ~ sQ23_spl
| ~ sQ80_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f164,f824,f827,f593]) ).
fof(f831,plain,
( ~ sQ20_spl
| ~ sQ78_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f166,f824,f820,f584]) ).
fof(f832,definition,
( sQ81_spl
<=> e3 = op(op(op(e1,e1),e1),op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f833,plain,
( ~ sQ81_spl
| e3 = op(op(op(e1,e1),e1),op(e1,e1)) ),
inference(component_clause,[status(thm)],[f832]) ).
fof(f834,plain,
( sQ81_spl
| e3 != op(op(op(e1,e1),e1),op(e1,e1)) ),
inference(component_clause,[status(thm)],[f832]) ).
fof(f835,plain,
( ~ sQ22_spl
| ~ sQ80_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f168,f832,f827,f590]) ).
fof(f836,plain,
( ~ sQ20_spl
| ~ sQ77_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f170,f832,f816,f584]) ).
fof(f837,definition,
( sQ82_spl
<=> e0 = op(op(op(e2,e2),e2),op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f839,plain,
( sQ82_spl
| e0 != op(op(op(e2,e2),e2),op(e2,e2)) ),
inference(component_clause,[status(thm)],[f837]) ).
fof(f840,definition,
( sQ83_spl
<=> e1 = op(op(e2,e2),e2) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f841,plain,
( ~ sQ83_spl
| e1 = op(op(e2,e2),e2) ),
inference(component_clause,[status(thm)],[f840]) ).
fof(f842,plain,
( sQ83_spl
| e1 != op(op(e2,e2),e2) ),
inference(component_clause,[status(thm)],[f840]) ).
fof(f843,plain,
( ~ sQ43_spl
| ~ sQ83_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f172,f837,f840,f658]) ).
fof(f844,definition,
( sQ84_spl
<=> e3 = op(op(e2,e2),e2) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f846,plain,
( sQ84_spl
| e3 != op(op(e2,e2),e2) ),
inference(component_clause,[status(thm)],[f844]) ).
fof(f847,plain,
( ~ sQ41_spl
| ~ sQ84_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f174,f837,f844,f652]) ).
fof(f848,definition,
( sQ85_spl
<=> e1 = op(op(op(e2,e2),e2),op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f849,plain,
( ~ sQ85_spl
| e1 = op(op(op(e2,e2),e2),op(e2,e2)) ),
inference(component_clause,[status(thm)],[f848]) ).
fof(f850,plain,
( sQ85_spl
| e1 != op(op(op(e2,e2),e2),op(e2,e2)) ),
inference(component_clause,[status(thm)],[f848]) ).
fof(f851,definition,
( sQ86_spl
<=> e0 = op(op(e2,e2),e2) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f853,plain,
( sQ86_spl
| e0 != op(op(e2,e2),e2) ),
inference(component_clause,[status(thm)],[f851]) ).
fof(f854,plain,
( ~ sQ43_spl
| ~ sQ86_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f176,f848,f851,f658]) ).
fof(f855,plain,
( ~ sQ40_spl
| ~ sQ84_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f178,f848,f844,f649]) ).
fof(f856,definition,
( sQ87_spl
<=> e3 = op(op(op(e2,e2),e2),op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f858,plain,
( sQ87_spl
| e3 != op(op(op(e2,e2),e2),op(e2,e2)) ),
inference(component_clause,[status(thm)],[f856]) ).
fof(f859,plain,
( ~ sQ41_spl
| ~ sQ86_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f180,f856,f851,f652]) ).
fof(f860,plain,
( ~ sQ40_spl
| ~ sQ83_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f182,f856,f840,f649]) ).
fof(f861,definition,
( sQ88_spl
<=> e0 = op(op(op(e3,e3),e3),op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f863,plain,
( sQ88_spl
| e0 != op(op(op(e3,e3),e3),op(e3,e3)) ),
inference(component_clause,[status(thm)],[f861]) ).
fof(f864,definition,
( sQ89_spl
<=> e1 = op(op(e3,e3),e3) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f865,plain,
( ~ sQ89_spl
| e1 = op(op(e3,e3),e3) ),
inference(component_clause,[status(thm)],[f864]) ).
fof(f866,plain,
( sQ89_spl
| e1 != op(op(e3,e3),e3) ),
inference(component_clause,[status(thm)],[f864]) ).
fof(f867,plain,
( ~ sQ62_spl
| ~ sQ89_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f184,f861,f864,f720]) ).
fof(f868,definition,
( sQ90_spl
<=> e2 = op(op(e3,e3),e3) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f870,plain,
( sQ90_spl
| e2 != op(op(e3,e3),e3) ),
inference(component_clause,[status(thm)],[f868]) ).
fof(f871,plain,
( ~ sQ61_spl
| ~ sQ90_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f186,f861,f868,f717]) ).
fof(f872,definition,
( sQ91_spl
<=> e1 = op(op(op(e3,e3),e3),op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f874,plain,
( sQ91_spl
| e1 != op(op(op(e3,e3),e3),op(e3,e3)) ),
inference(component_clause,[status(thm)],[f872]) ).
fof(f875,definition,
( sQ92_spl
<=> e0 = op(op(e3,e3),e3) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f877,plain,
( sQ92_spl
| e0 != op(op(e3,e3),e3) ),
inference(component_clause,[status(thm)],[f875]) ).
fof(f878,plain,
( ~ sQ62_spl
| ~ sQ92_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f188,f872,f875,f720]) ).
fof(f879,plain,
( ~ sQ60_spl
| ~ sQ90_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f190,f872,f868,f714]) ).
fof(f880,definition,
( sQ93_spl
<=> e2 = op(op(op(e3,e3),e3),op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f882,plain,
( sQ93_spl
| e2 != op(op(op(e3,e3),e3),op(e3,e3)) ),
inference(component_clause,[status(thm)],[f880]) ).
fof(f883,plain,
( ~ sQ61_spl
| ~ sQ92_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f192,f880,f875,f717]) ).
fof(f884,plain,
( ~ sQ60_spl
| ~ sQ89_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f194,f880,f864,f714]) ).
fof(f885,definition,
( sQ94_spl
<=> sP2_prd ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f888,plain,
( sQ62_spl
| sQ94_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f198,f759,f885,f720]) ).
fof(f889,plain,
( ~ sQ59_spl
| sQ94_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f199,f759,f885,f710]) ).
fof(f890,definition,
( sQ95_spl
<=> op(e2,op(e2,e0)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f892,plain,
( sQ95_spl
| op(e2,op(e2,e0)) != e0 ),
inference(component_clause,[status(thm)],[f890]) ).
fof(f893,plain,
( ~ sQ95_spl
| sQ94_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f200,f759,f885,f890]) ).
fof(f894,definition,
( sQ96_spl
<=> op(e2,op(e2,e1)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f896,plain,
( sQ96_spl
| op(e2,op(e2,e1)) != e1 ),
inference(component_clause,[status(thm)],[f894]) ).
fof(f897,plain,
( ~ sQ96_spl
| sQ94_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f201,f759,f885,f894]) ).
fof(f898,definition,
( sQ97_spl
<=> op(e2,op(e2,e2)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f899,plain,
( ~ sQ97_spl
| op(e2,op(e2,e2)) = e2 ),
inference(component_clause,[status(thm)],[f898]) ).
fof(f900,plain,
( sQ97_spl
| op(e2,op(e2,e2)) != e2 ),
inference(component_clause,[status(thm)],[f898]) ).
fof(f901,plain,
( ~ sQ97_spl
| sQ94_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f202,f759,f885,f898]) ).
fof(f902,definition,
( sQ98_spl
<=> op(e2,op(e2,e3)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f904,plain,
( sQ98_spl
| op(e2,op(e2,e3)) != e3 ),
inference(component_clause,[status(thm)],[f902]) ).
fof(f905,plain,
( ~ sQ98_spl
| sQ94_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f203,f759,f885,f902]) ).
fof(f906,plain,
( ~ sQ94_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f204,f759,f885]) ).
fof(f908,definition,
( sQ99_spl
<=> sP3_prd ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f911,plain,
( sQ59_spl
| sQ99_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f209,f780,f908,f710]) ).
fof(f912,plain,
( ~ sQ62_spl
| sQ99_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f210,f780,f908,f720]) ).
fof(f913,plain,
( ~ sQ95_spl
| sQ99_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f211,f780,f908,f890]) ).
fof(f914,plain,
( ~ sQ96_spl
| sQ99_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f212,f780,f908,f894]) ).
fof(f915,plain,
( ~ sQ97_spl
| sQ99_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f213,f780,f908,f898]) ).
fof(f916,plain,
( ~ sQ98_spl
| sQ99_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f214,f780,f908,f902]) ).
fof(f917,plain,
( ~ sQ99_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f215,f780,f908]) ).
fof(f919,definition,
( sQ100_spl
<=> sP4_prd ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f922,plain,
( sQ61_spl
| sQ100_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f220,f885,f919,f717]) ).
fof(f923,plain,
( ~ sQ55_spl
| sQ100_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f221,f885,f919,f697]) ).
fof(f924,definition,
( sQ101_spl
<=> op(e1,op(e1,e0)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f925,plain,
( ~ sQ101_spl
| op(e1,op(e1,e0)) = e0 ),
inference(component_clause,[status(thm)],[f924]) ).
fof(f926,plain,
( sQ101_spl
| op(e1,op(e1,e0)) != e0 ),
inference(component_clause,[status(thm)],[f924]) ).
fof(f927,plain,
( ~ sQ101_spl
| sQ100_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f222,f885,f919,f924]) ).
fof(f928,definition,
( sQ102_spl
<=> op(e1,op(e1,e1)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f929,plain,
( ~ sQ102_spl
| op(e1,op(e1,e1)) = e1 ),
inference(component_clause,[status(thm)],[f928]) ).
fof(f930,plain,
( sQ102_spl
| op(e1,op(e1,e1)) != e1 ),
inference(component_clause,[status(thm)],[f928]) ).
fof(f931,plain,
( ~ sQ102_spl
| sQ100_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f223,f885,f919,f928]) ).
fof(f932,definition,
( sQ103_spl
<=> op(e1,op(e1,e2)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f933,plain,
( ~ sQ103_spl
| op(e1,op(e1,e2)) = e2 ),
inference(component_clause,[status(thm)],[f932]) ).
fof(f934,plain,
( sQ103_spl
| op(e1,op(e1,e2)) != e2 ),
inference(component_clause,[status(thm)],[f932]) ).
fof(f935,plain,
( ~ sQ103_spl
| sQ100_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f224,f885,f919,f932]) ).
fof(f936,definition,
( sQ104_spl
<=> op(e1,op(e1,e3)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f938,plain,
( sQ104_spl
| op(e1,op(e1,e3)) != e3 ),
inference(component_clause,[status(thm)],[f936]) ).
fof(f939,plain,
( ~ sQ104_spl
| sQ100_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f225,f885,f919,f936]) ).
fof(f940,plain,
( ~ sQ100_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f226,f885,f919]) ).
fof(f942,definition,
( sQ105_spl
<=> sP5_prd ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f945,plain,
( sQ55_spl
| sQ105_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f231,f908,f942,f697]) ).
fof(f946,plain,
( ~ sQ61_spl
| sQ105_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f232,f908,f942,f717]) ).
fof(f947,plain,
( ~ sQ101_spl
| sQ105_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f233,f908,f942,f924]) ).
fof(f948,plain,
( ~ sQ102_spl
| sQ105_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f234,f908,f942,f928]) ).
fof(f949,plain,
( ~ sQ103_spl
| sQ105_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f235,f908,f942,f932]) ).
fof(f950,plain,
( ~ sQ104_spl
| sQ105_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f236,f908,f942,f936]) ).
fof(f951,plain,
( ~ sQ105_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f237,f908,f942]) ).
fof(f953,definition,
( sQ106_spl
<=> sP6_prd ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f956,plain,
( sQ60_spl
| sQ106_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f242,f919,f953,f714]) ).
fof(f957,plain,
( ~ sQ51_spl
| sQ106_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f243,f919,f953,f684]) ).
fof(f958,definition,
( sQ107_spl
<=> op(e0,op(e0,e0)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f960,plain,
( sQ107_spl
| op(e0,op(e0,e0)) != e0 ),
inference(component_clause,[status(thm)],[f958]) ).
fof(f961,plain,
( ~ sQ107_spl
| sQ106_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f244,f919,f953,f958]) ).
fof(f962,definition,
( sQ108_spl
<=> op(e0,op(e0,e1)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f963,plain,
( ~ sQ108_spl
| op(e0,op(e0,e1)) = e1 ),
inference(component_clause,[status(thm)],[f962]) ).
fof(f964,plain,
( sQ108_spl
| op(e0,op(e0,e1)) != e1 ),
inference(component_clause,[status(thm)],[f962]) ).
fof(f965,plain,
( ~ sQ108_spl
| sQ106_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f245,f919,f953,f962]) ).
fof(f966,definition,
( sQ109_spl
<=> op(e0,op(e0,e2)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f968,plain,
( sQ109_spl
| op(e0,op(e0,e2)) != e2 ),
inference(component_clause,[status(thm)],[f966]) ).
fof(f969,plain,
( ~ sQ109_spl
| sQ106_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f246,f919,f953,f966]) ).
fof(f970,definition,
( sQ110_spl
<=> op(e0,op(e0,e3)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f972,plain,
( sQ110_spl
| op(e0,op(e0,e3)) != e3 ),
inference(component_clause,[status(thm)],[f970]) ).
fof(f973,plain,
( ~ sQ110_spl
| sQ106_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f247,f919,f953,f970]) ).
fof(f974,plain,
( ~ sQ106_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f248,f919,f953]) ).
fof(f976,definition,
( sQ111_spl
<=> sP7_prd ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f979,plain,
( sQ51_spl
| sQ111_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f253,f942,f976,f684]) ).
fof(f980,plain,
( ~ sQ60_spl
| sQ111_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f254,f942,f976,f714]) ).
fof(f981,plain,
( ~ sQ107_spl
| sQ111_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f255,f942,f976,f958]) ).
fof(f982,plain,
( ~ sQ108_spl
| sQ111_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f256,f942,f976,f962]) ).
fof(f983,plain,
( ~ sQ109_spl
| sQ111_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f257,f942,f976,f966]) ).
fof(f984,plain,
( ~ sQ110_spl
| sQ111_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f258,f942,f976,f970]) ).
fof(f985,plain,
( ~ sQ111_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f259,f942,f976]) ).
fof(f987,definition,
( sQ112_spl
<=> sP8_prd ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f990,plain,
( sQ43_spl
| sQ112_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f264,f953,f987,f658]) ).
fof(f991,plain,
( ~ sQ46_spl
| sQ112_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f265,f953,f987,f668]) ).
fof(f992,plain,
( ~ sQ65_spl
| sQ112_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f266,f953,f987,f764]) ).
fof(f993,plain,
( ~ sQ66_spl
| sQ112_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f267,f953,f987,f768]) ).
fof(f994,plain,
( ~ sQ67_spl
| sQ112_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f268,f953,f987,f772]) ).
fof(f995,plain,
( ~ sQ68_spl
| sQ112_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f269,f953,f987,f776]) ).
fof(f996,plain,
( ~ sQ112_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f270,f953,f987]) ).
fof(f998,definition,
( sQ113_spl
<=> sP9_prd ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f1001,plain,
( sQ46_spl
| sQ113_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f275,f976,f998,f668]) ).
fof(f1002,plain,
( ~ sQ43_spl
| sQ113_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f276,f976,f998,f658]) ).
fof(f1003,plain,
( ~ sQ65_spl
| sQ113_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f277,f976,f998,f764]) ).
fof(f1004,plain,
( ~ sQ66_spl
| sQ113_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f278,f976,f998,f768]) ).
fof(f1005,plain,
( ~ sQ67_spl
| sQ113_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f279,f976,f998,f772]) ).
fof(f1006,plain,
( ~ sQ68_spl
| sQ113_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f280,f976,f998,f776]) ).
fof(f1007,plain,
( ~ sQ113_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f281,f976,f998]) ).
fof(f1009,definition,
( sQ114_spl
<=> sP10_prd ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f1012,plain,
( sQ42_spl
| sQ114_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f286,f987,f1009,f655]) ).
fof(f1013,plain,
( ~ sQ42_spl
| sQ114_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f287,f987,f1009,f655]) ).
fof(f1014,plain,
( ~ sQ95_spl
| sQ114_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f288,f987,f1009,f890]) ).
fof(f1015,plain,
( ~ sQ96_spl
| sQ114_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f289,f987,f1009,f894]) ).
fof(f1017,plain,
( ~ sQ98_spl
| sQ114_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f291,f987,f1009,f902]) ).
fof(f1018,plain,
( ~ sQ114_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f292,f987,f1009]) ).
fof(f1020,definition,
( sQ115_spl
<=> sP11_prd ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f1023,plain,
( sQ42_spl
| sQ115_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f297,f998,f1020,f655]) ).
fof(f1024,plain,
( ~ sQ42_spl
| sQ115_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f298,f998,f1020,f655]) ).
fof(f1029,plain,
( ~ sQ115_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f303,f998,f1020]) ).
fof(f1031,definition,
( sQ116_spl
<=> sP12_prd ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f1034,plain,
( sQ41_spl
| sQ116_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f308,f1009,f1031,f652]) ).
fof(f1035,plain,
( ~ sQ38_spl
| sQ116_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f309,f1009,f1031,f642]) ).
fof(f1036,plain,
( ~ sQ101_spl
| sQ116_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f310,f1009,f1031,f924]) ).
fof(f1037,plain,
( ~ sQ102_spl
| sQ116_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f311,f1009,f1031,f928]) ).
fof(f1038,plain,
( ~ sQ103_spl
| sQ116_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f312,f1009,f1031,f932]) ).
fof(f1039,plain,
( ~ sQ104_spl
| sQ116_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f313,f1009,f1031,f936]) ).
fof(f1040,plain,
( ~ sQ116_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f314,f1009,f1031]) ).
fof(f1041,plain,
( sQ104_spl
| sQ103_spl
| sQ102_spl
| sQ101_spl
| sQ38_spl
| ~ sQ41_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f315,f1009,f652,f642,f924,f928,f932,f936]) ).
fof(f1042,definition,
( sQ117_spl
<=> sP13_prd ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f1045,plain,
( sQ38_spl
| sQ117_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f319,f1020,f1042,f642]) ).
fof(f1046,plain,
( ~ sQ41_spl
| sQ117_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f320,f1020,f1042,f652]) ).
fof(f1047,plain,
( ~ sQ101_spl
| sQ117_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f321,f1020,f1042,f924]) ).
fof(f1048,plain,
( ~ sQ102_spl
| sQ117_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f322,f1020,f1042,f928]) ).
fof(f1049,plain,
( ~ sQ103_spl
| sQ117_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f323,f1020,f1042,f932]) ).
fof(f1050,plain,
( ~ sQ104_spl
| sQ117_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f324,f1020,f1042,f936]) ).
fof(f1051,plain,
( ~ sQ117_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f325,f1020,f1042]) ).
fof(f1052,plain,
( sQ104_spl
| sQ103_spl
| sQ102_spl
| sQ101_spl
| sQ41_spl
| ~ sQ38_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f326,f1020,f642,f652,f924,f928,f932,f936]) ).
fof(f1053,definition,
( sQ118_spl
<=> sP14_prd ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f1056,plain,
( sQ40_spl
| sQ118_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f330,f1031,f1053,f649]) ).
fof(f1057,plain,
( ~ sQ34_spl
| sQ118_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f331,f1031,f1053,f629]) ).
fof(f1058,plain,
( ~ sQ107_spl
| sQ118_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f332,f1031,f1053,f958]) ).
fof(f1059,plain,
( ~ sQ108_spl
| sQ118_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f333,f1031,f1053,f962]) ).
fof(f1060,plain,
( ~ sQ109_spl
| sQ118_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f334,f1031,f1053,f966]) ).
fof(f1061,plain,
( ~ sQ110_spl
| sQ118_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f335,f1031,f1053,f970]) ).
fof(f1062,plain,
( ~ sQ118_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f336,f1031,f1053]) ).
fof(f1064,definition,
( sQ119_spl
<=> sP15_prd ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f1067,plain,
( sQ34_spl
| sQ119_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f341,f1042,f1064,f629]) ).
fof(f1068,plain,
( ~ sQ40_spl
| sQ119_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f342,f1042,f1064,f649]) ).
fof(f1069,plain,
( ~ sQ107_spl
| sQ119_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f343,f1042,f1064,f958]) ).
fof(f1070,plain,
( ~ sQ108_spl
| sQ119_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f344,f1042,f1064,f962]) ).
fof(f1071,plain,
( ~ sQ109_spl
| sQ119_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f345,f1042,f1064,f966]) ).
fof(f1072,plain,
( ~ sQ110_spl
| sQ119_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f346,f1042,f1064,f970]) ).
fof(f1073,plain,
( ~ sQ119_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f347,f1042,f1064]) ).
fof(f1075,definition,
( sQ120_spl
<=> sP16_prd ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f1078,plain,
( sQ23_spl
| sQ120_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f352,f1053,f1075,f593]) ).
fof(f1079,plain,
( ~ sQ29_spl
| sQ120_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f353,f1053,f1075,f613]) ).
fof(f1080,plain,
( ~ sQ65_spl
| sQ120_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f354,f1053,f1075,f764]) ).
fof(f1081,plain,
( ~ sQ66_spl
| sQ120_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f355,f1053,f1075,f768]) ).
fof(f1082,plain,
( ~ sQ67_spl
| sQ120_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f356,f1053,f1075,f772]) ).
fof(f1083,plain,
( ~ sQ68_spl
| sQ120_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f357,f1053,f1075,f776]) ).
fof(f1084,plain,
( ~ sQ120_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f358,f1053,f1075]) ).
fof(f1086,definition,
( sQ121_spl
<=> sP17_prd ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f1089,plain,
( sQ29_spl
| sQ121_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f363,f1064,f1086,f613]) ).
fof(f1090,plain,
( ~ sQ23_spl
| sQ121_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f364,f1064,f1086,f593]) ).
fof(f1091,plain,
( ~ sQ65_spl
| sQ121_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f365,f1064,f1086,f764]) ).
fof(f1092,plain,
( ~ sQ66_spl
| sQ121_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f366,f1064,f1086,f768]) ).
fof(f1093,plain,
( ~ sQ67_spl
| sQ121_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f367,f1064,f1086,f772]) ).
fof(f1094,plain,
( ~ sQ68_spl
| sQ121_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f368,f1064,f1086,f776]) ).
fof(f1095,plain,
( ~ sQ121_spl
| sQ119_spl ),
inference(split_clause,[status(thm)],[f369,f1064,f1086]) ).
fof(f1096,plain,
( sQ68_spl
| sQ67_spl
| sQ66_spl
| sQ65_spl
| sQ23_spl
| ~ sQ29_spl
| sQ119_spl ),
inference(split_clause,[status(thm)],[f370,f1064,f613,f593,f764,f768,f772,f776]) ).
fof(f1097,definition,
( sQ122_spl
<=> sP18_prd ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f1100,plain,
( sQ22_spl
| sQ122_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f374,f1075,f1097,f590]) ).
fof(f1101,plain,
( ~ sQ25_spl
| sQ122_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f375,f1075,f1097,f600]) ).
fof(f1102,plain,
( ~ sQ95_spl
| sQ122_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f376,f1075,f1097,f890]) ).
fof(f1103,plain,
( ~ sQ96_spl
| sQ122_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f377,f1075,f1097,f894]) ).
fof(f1104,plain,
( ~ sQ97_spl
| sQ122_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f378,f1075,f1097,f898]) ).
fof(f1105,plain,
( ~ sQ98_spl
| sQ122_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f379,f1075,f1097,f902]) ).
fof(f1106,plain,
( ~ sQ122_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f380,f1075,f1097]) ).
fof(f1107,plain,
( sQ98_spl
| sQ97_spl
| sQ96_spl
| sQ95_spl
| sQ25_spl
| ~ sQ22_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f381,f1075,f590,f600,f890,f894,f898,f902]) ).
fof(f1108,definition,
( sQ123_spl
<=> sP19_prd ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f1111,plain,
( sQ25_spl
| sQ123_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f385,f1086,f1108,f600]) ).
fof(f1112,plain,
( ~ sQ22_spl
| sQ123_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f386,f1086,f1108,f590]) ).
fof(f1113,plain,
( ~ sQ95_spl
| sQ123_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f387,f1086,f1108,f890]) ).
fof(f1114,plain,
( ~ sQ96_spl
| sQ123_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f388,f1086,f1108,f894]) ).
fof(f1115,plain,
( ~ sQ97_spl
| sQ123_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f389,f1086,f1108,f898]) ).
fof(f1116,plain,
( ~ sQ98_spl
| sQ123_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f390,f1086,f1108,f902]) ).
fof(f1117,plain,
( ~ sQ123_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f391,f1086,f1108]) ).
fof(f1118,plain,
( sQ98_spl
| sQ97_spl
| sQ96_spl
| sQ95_spl
| sQ22_spl
| ~ sQ25_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f392,f1086,f600,f590,f890,f894,f898,f902]) ).
fof(f1119,definition,
( sQ124_spl
<=> sP20_prd ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f1122,plain,
( sQ21_spl
| sQ124_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f396,f1097,f1119,f587]) ).
fof(f1123,plain,
( ~ sQ21_spl
| sQ124_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f397,f1097,f1119,f587]) ).
fof(f1124,plain,
( ~ sQ101_spl
| sQ124_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f398,f1097,f1119,f924]) ).
fof(f1126,plain,
( ~ sQ103_spl
| sQ124_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f400,f1097,f1119,f932]) ).
fof(f1127,plain,
( ~ sQ104_spl
| sQ124_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f401,f1097,f1119,f936]) ).
fof(f1128,plain,
( ~ sQ124_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f402,f1097,f1119]) ).
fof(f1130,definition,
( sQ125_spl
<=> sP21_prd ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f1133,plain,
( sQ21_spl
| sQ125_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f407,f1108,f1130,f587]) ).
fof(f1134,plain,
( ~ sQ21_spl
| sQ125_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f408,f1108,f1130,f587]) ).
fof(f1135,plain,
( ~ sQ101_spl
| sQ125_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f409,f1108,f1130,f924]) ).
fof(f1137,plain,
( ~ sQ103_spl
| sQ125_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f411,f1108,f1130,f932]) ).
fof(f1138,plain,
( ~ sQ104_spl
| sQ125_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f412,f1108,f1130,f936]) ).
fof(f1139,plain,
( ~ sQ125_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f413,f1108,f1130]) ).
fof(f1141,definition,
( sQ126_spl
<=> sP22_prd ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f1144,plain,
( sQ20_spl
| sQ126_spl
| ~ sQ124_spl ),
inference(split_clause,[status(thm)],[f418,f1119,f1141,f584]) ).
fof(f1145,plain,
( ~ sQ17_spl
| sQ126_spl
| ~ sQ124_spl ),
inference(split_clause,[status(thm)],[f419,f1119,f1141,f574]) ).
fof(f1146,plain,
( ~ sQ107_spl
| sQ126_spl
| ~ sQ124_spl ),
inference(split_clause,[status(thm)],[f420,f1119,f1141,f958]) ).
fof(f1147,plain,
( ~ sQ108_spl
| sQ126_spl
| ~ sQ124_spl ),
inference(split_clause,[status(thm)],[f421,f1119,f1141,f962]) ).
fof(f1148,plain,
( ~ sQ109_spl
| sQ126_spl
| ~ sQ124_spl ),
inference(split_clause,[status(thm)],[f422,f1119,f1141,f966]) ).
fof(f1149,plain,
( ~ sQ110_spl
| sQ126_spl
| ~ sQ124_spl ),
inference(split_clause,[status(thm)],[f423,f1119,f1141,f970]) ).
fof(f1150,plain,
( ~ sQ126_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f424,f1119,f1141]) ).
fof(f1151,plain,
( sQ110_spl
| sQ109_spl
| sQ108_spl
| sQ107_spl
| sQ17_spl
| ~ sQ20_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f425,f1119,f584,f574,f958,f962,f966,f970]) ).
fof(f1152,definition,
( sQ127_spl
<=> sP23_prd ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f1155,plain,
( sQ17_spl
| sQ127_spl
| ~ sQ125_spl ),
inference(split_clause,[status(thm)],[f429,f1130,f1152,f574]) ).
fof(f1156,plain,
( ~ sQ20_spl
| sQ127_spl
| ~ sQ125_spl ),
inference(split_clause,[status(thm)],[f430,f1130,f1152,f584]) ).
fof(f1157,plain,
( ~ sQ107_spl
| sQ127_spl
| ~ sQ125_spl ),
inference(split_clause,[status(thm)],[f431,f1130,f1152,f958]) ).
fof(f1158,plain,
( ~ sQ108_spl
| sQ127_spl
| ~ sQ125_spl ),
inference(split_clause,[status(thm)],[f432,f1130,f1152,f962]) ).
fof(f1159,plain,
( ~ sQ109_spl
| sQ127_spl
| ~ sQ125_spl ),
inference(split_clause,[status(thm)],[f433,f1130,f1152,f966]) ).
fof(f1160,plain,
( ~ sQ110_spl
| sQ127_spl
| ~ sQ125_spl ),
inference(split_clause,[status(thm)],[f434,f1130,f1152,f970]) ).
fof(f1161,plain,
( ~ sQ127_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f435,f1130,f1152]) ).
fof(f1162,plain,
( sQ110_spl
| sQ109_spl
| sQ108_spl
| sQ107_spl
| sQ20_spl
| ~ sQ17_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f436,f1130,f574,f584,f958,f962,f966,f970]) ).
fof(f1163,definition,
( sQ128_spl
<=> sP24_prd ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f1166,plain,
( sQ3_spl
| sQ128_spl
| ~ sQ126_spl ),
inference(split_clause,[status(thm)],[f440,f1141,f1163,f528]) ).
fof(f1167,plain,
( ~ sQ12_spl
| sQ128_spl
| ~ sQ126_spl ),
inference(split_clause,[status(thm)],[f441,f1141,f1163,f558]) ).
fof(f1168,plain,
( ~ sQ65_spl
| sQ128_spl
| ~ sQ126_spl ),
inference(split_clause,[status(thm)],[f442,f1141,f1163,f764]) ).
fof(f1169,plain,
( ~ sQ66_spl
| sQ128_spl
| ~ sQ126_spl ),
inference(split_clause,[status(thm)],[f443,f1141,f1163,f768]) ).
fof(f1170,plain,
( ~ sQ67_spl
| sQ128_spl
| ~ sQ126_spl ),
inference(split_clause,[status(thm)],[f444,f1141,f1163,f772]) ).
fof(f1171,plain,
( ~ sQ68_spl
| sQ128_spl
| ~ sQ126_spl ),
inference(split_clause,[status(thm)],[f445,f1141,f1163,f776]) ).
fof(f1172,plain,
( ~ sQ128_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f446,f1141,f1163]) ).
fof(f1173,plain,
( sQ68_spl
| sQ67_spl
| sQ66_spl
| sQ65_spl
| sQ12_spl
| ~ sQ3_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f447,f1141,f528,f558,f764,f768,f772,f776]) ).
fof(f1174,definition,
( sQ129_spl
<=> sP25_prd ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f1177,plain,
( sQ12_spl
| sQ129_spl
| ~ sQ127_spl ),
inference(split_clause,[status(thm)],[f451,f1152,f1174,f558]) ).
fof(f1178,plain,
( ~ sQ3_spl
| sQ129_spl
| ~ sQ127_spl ),
inference(split_clause,[status(thm)],[f452,f1152,f1174,f528]) ).
fof(f1179,plain,
( ~ sQ65_spl
| sQ129_spl
| ~ sQ127_spl ),
inference(split_clause,[status(thm)],[f453,f1152,f1174,f764]) ).
fof(f1180,plain,
( ~ sQ66_spl
| sQ129_spl
| ~ sQ127_spl ),
inference(split_clause,[status(thm)],[f454,f1152,f1174,f768]) ).
fof(f1181,plain,
( ~ sQ67_spl
| sQ129_spl
| ~ sQ127_spl ),
inference(split_clause,[status(thm)],[f455,f1152,f1174,f772]) ).
fof(f1182,plain,
( ~ sQ68_spl
| sQ129_spl
| ~ sQ127_spl ),
inference(split_clause,[status(thm)],[f456,f1152,f1174,f776]) ).
fof(f1183,plain,
( ~ sQ129_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f457,f1152,f1174]) ).
fof(f1184,plain,
( sQ68_spl
| sQ67_spl
| sQ66_spl
| sQ65_spl
| sQ3_spl
| ~ sQ12_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f458,f1152,f558,f528,f764,f768,f772,f776]) ).
fof(f1185,definition,
( sQ130_spl
<=> sP26_prd ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f1188,plain,
( sQ2_spl
| sQ130_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f462,f1163,f1185,f525]) ).
fof(f1189,plain,
( ~ sQ8_spl
| sQ130_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f463,f1163,f1185,f545]) ).
fof(f1190,plain,
( ~ sQ95_spl
| sQ130_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f464,f1163,f1185,f890]) ).
fof(f1191,plain,
( ~ sQ96_spl
| sQ130_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f465,f1163,f1185,f894]) ).
fof(f1192,plain,
( ~ sQ97_spl
| sQ130_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f466,f1163,f1185,f898]) ).
fof(f1193,plain,
( ~ sQ98_spl
| sQ130_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f467,f1163,f1185,f902]) ).
fof(f1194,plain,
( ~ sQ130_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f468,f1163,f1185]) ).
fof(f1195,plain,
( sQ98_spl
| sQ97_spl
| sQ96_spl
| sQ95_spl
| sQ8_spl
| ~ sQ2_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f469,f1163,f525,f545,f890,f894,f898,f902]) ).
fof(f1196,definition,
( sQ131_spl
<=> sP27_prd ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f1199,plain,
( sQ8_spl
| sQ131_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f473,f1174,f1196,f545]) ).
fof(f1200,plain,
( ~ sQ2_spl
| sQ131_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f474,f1174,f1196,f525]) ).
fof(f1201,plain,
( ~ sQ95_spl
| sQ131_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f475,f1174,f1196,f890]) ).
fof(f1202,plain,
( ~ sQ96_spl
| sQ131_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f476,f1174,f1196,f894]) ).
fof(f1203,plain,
( ~ sQ97_spl
| sQ131_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f477,f1174,f1196,f898]) ).
fof(f1204,plain,
( ~ sQ98_spl
| sQ131_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f478,f1174,f1196,f902]) ).
fof(f1205,plain,
( ~ sQ131_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f479,f1174,f1196]) ).
fof(f1206,plain,
( sQ98_spl
| sQ97_spl
| sQ96_spl
| sQ95_spl
| sQ2_spl
| ~ sQ8_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f480,f1174,f545,f525,f890,f894,f898,f902]) ).
fof(f1207,definition,
( sQ132_spl
<=> sP28_prd ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f1210,plain,
( sQ1_spl
| sQ132_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f484,f1185,f1207,f522]) ).
fof(f1211,plain,
( ~ sQ4_spl
| sQ132_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f485,f1185,f1207,f532]) ).
fof(f1212,plain,
( ~ sQ101_spl
| sQ132_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f486,f1185,f1207,f924]) ).
fof(f1213,plain,
( ~ sQ102_spl
| sQ132_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f487,f1185,f1207,f928]) ).
fof(f1214,plain,
( ~ sQ103_spl
| sQ132_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f488,f1185,f1207,f932]) ).
fof(f1215,plain,
( ~ sQ104_spl
| sQ132_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f489,f1185,f1207,f936]) ).
fof(f1216,plain,
( ~ sQ132_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f490,f1185,f1207]) ).
fof(f1217,plain,
( sQ104_spl
| sQ103_spl
| sQ102_spl
| sQ101_spl
| sQ4_spl
| ~ sQ1_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f491,f1185,f522,f532,f924,f928,f932,f936]) ).
fof(f1218,definition,
( sQ133_spl
<=> sP29_prd ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f1221,plain,
( sQ4_spl
| sQ133_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f495,f1196,f1218,f532]) ).
fof(f1222,plain,
( ~ sQ1_spl
| sQ133_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f496,f1196,f1218,f522]) ).
fof(f1223,plain,
( ~ sQ101_spl
| sQ133_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f497,f1196,f1218,f924]) ).
fof(f1224,plain,
( ~ sQ102_spl
| sQ133_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f498,f1196,f1218,f928]) ).
fof(f1225,plain,
( ~ sQ103_spl
| sQ133_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f499,f1196,f1218,f932]) ).
fof(f1226,plain,
( ~ sQ104_spl
| sQ133_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f500,f1196,f1218,f936]) ).
fof(f1227,plain,
( ~ sQ133_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f501,f1196,f1218]) ).
fof(f1228,plain,
( sQ104_spl
| sQ103_spl
| sQ102_spl
| sQ101_spl
| sQ1_spl
| ~ sQ4_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f502,f1196,f532,f522,f924,f928,f932,f936]) ).
fof(f1229,plain,
( sQ0_spl
| ~ sQ132_spl ),
inference(split_clause,[status(thm)],[f504,f1207,f519]) ).
fof(f1230,plain,
( ~ sQ0_spl
| ~ sQ132_spl ),
inference(split_clause,[status(thm)],[f505,f1207,f519]) ).
fof(f1231,plain,
( ~ sQ107_spl
| ~ sQ132_spl ),
inference(split_clause,[status(thm)],[f506,f1207,f958]) ).
fof(f1232,plain,
( ~ sQ108_spl
| ~ sQ132_spl ),
inference(split_clause,[status(thm)],[f507,f1207,f962]) ).
fof(f1233,plain,
( ~ sQ109_spl
| ~ sQ132_spl ),
inference(split_clause,[status(thm)],[f508,f1207,f966]) ).
fof(f1234,plain,
( ~ sQ110_spl
| ~ sQ132_spl ),
inference(split_clause,[status(thm)],[f509,f1207,f970]) ).
fof(f1236,plain,
( sQ0_spl
| ~ sQ133_spl ),
inference(split_clause,[status(thm)],[f512,f1218,f519]) ).
fof(f1237,plain,
( ~ sQ0_spl
| ~ sQ133_spl ),
inference(split_clause,[status(thm)],[f513,f1218,f519]) ).
fof(f1238,plain,
( ~ sQ107_spl
| ~ sQ133_spl ),
inference(split_clause,[status(thm)],[f514,f1218,f958]) ).
fof(f1239,plain,
( ~ sQ108_spl
| ~ sQ133_spl ),
inference(split_clause,[status(thm)],[f515,f1218,f962]) ).
fof(f1240,plain,
( ~ sQ109_spl
| ~ sQ133_spl ),
inference(split_clause,[status(thm)],[f516,f1218,f966]) ).
fof(f1241,plain,
( ~ sQ110_spl
| ~ sQ133_spl ),
inference(split_clause,[status(thm)],[f517,f1218,f970]) ).
fof(f1244,plain,
( ~ sQ47_spl
| op(e2,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f672,f118]) ).
fof(f1245,plain,
( ~ sQ47_spl
| op(e2,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f672,f116]) ).
fof(f1246,plain,
( ~ sQ47_spl
| e3 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f672,f101]) ).
fof(f1249,plain,
( ~ sQ31_spl
| op(e1,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f620,f113]) ).
fof(f1250,plain,
( ~ sQ31_spl
| op(e1,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f620,f112]) ).
fof(f1251,plain,
( ~ sQ31_spl
| op(e1,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f620,f110]) ).
fof(f1252,plain,
( ~ sQ31_spl
| e3 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f620,f100]) ).
fof(f1256,plain,
( ~ sQ15_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f568,f104]) ).
fof(f1258,plain,
( ~ sQ30_spl
| ~ sQ31_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f620,f617]) ).
fof(f1259,plain,
( ~ sQ30_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1258,f131]) ).
fof(f1260,plain,
( ~ sQ30_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f1259]) ).
fof(f1261,plain,
( ~ sQ14_spl
| ~ sQ15_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f568,f565]) ).
fof(f1262,plain,
( ~ sQ14_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1261,f131]) ).
fof(f1263,plain,
( ~ sQ14_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f1262]) ).
fof(f1266,plain,
( ~ sQ58_spl
| op(e3,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f708,f121]) ).
fof(f1270,plain,
( ~ sQ54_spl
| e2 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f695,f124]) ).
fof(f1271,plain,
( ~ sQ54_spl
| op(e3,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f695,f120]) ).
fof(f1276,plain,
( ~ sQ50_spl
| op(e2,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f682,f83]) ).
fof(f1278,plain,
( ~ sQ50_spl
| op(e0,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f682,f80]) ).
fof(f1279,plain,
( ~ sQ45_spl
| ~ sQ47_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f672,f666]) ).
fof(f1280,plain,
( ~ sQ45_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1279,f130]) ).
fof(f1281,plain,
( ~ sQ45_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f1280]) ).
fof(f1282,plain,
( ~ sQ57_spl
| ~ sQ58_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f708,f705]) ).
fof(f1283,plain,
( ~ sQ57_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1282,f129]) ).
fof(f1284,plain,
( ~ sQ57_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f1283]) ).
fof(f1285,plain,
( ~ sQ53_spl
| ~ sQ54_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f695,f692]) ).
fof(f1286,plain,
( ~ sQ53_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1285,f129]) ).
fof(f1287,plain,
( ~ sQ53_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f1286]) ).
fof(f1288,plain,
( ~ sQ49_spl
| ~ sQ50_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f682,f679]) ).
fof(f1289,plain,
( ~ sQ49_spl
| ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1288,f129]) ).
fof(f1290,plain,
( ~ sQ49_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f1289]) ).
fof(f1295,plain,
( ~ sQ11_spl
| op(e0,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f555,f105]) ).
fof(f1297,plain,
( ~ sQ11_spl
| e3 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f555,f91]) ).
fof(f1298,plain,
( ~ sQ39_spl
| e3 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f646,f117]) ).
fof(f1300,plain,
( ~ sQ39_spl
| op(e1,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f646,f87]) ).
fof(f1303,plain,
( ~ sQ35_spl
| op(e1,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f633,f81]) ).
fof(f1305,plain,
( ~ sQ26_spl
| ~ sQ27_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f607,f604]) ).
fof(f1306,plain,
( ~ sQ26_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1305,f131]) ).
fof(f1307,plain,
( ~ sQ26_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f1306]) ).
fof(f1308,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f555,f552]) ).
fof(f1309,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1308,f131]) ).
fof(f1310,plain,
( ~ sQ10_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f1309]) ).
fof(f1311,plain,
( ~ sQ37_spl
| ~ sQ39_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f646,f640]) ).
fof(f1312,plain,
( ~ sQ37_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1311,f130]) ).
fof(f1313,plain,
( ~ sQ37_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f1312]) ).
fof(f1314,plain,
( ~ sQ33_spl
| ~ sQ35_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f633,f627]) ).
fof(f1315,plain,
( ~ sQ33_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1314,f130]) ).
fof(f1316,plain,
( ~ sQ33_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f1315]) ).
fof(f1317,plain,
( ~ sQ7_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f542,f102]) ).
fof(f1319,plain,
( ~ sQ19_spl
| e3 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f581,f108]) ).
fof(f1321,plain,
( ~ sQ6_spl
| ~ sQ7_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f542,f539]) ).
fof(f1322,plain,
( ~ sQ6_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1321,f131]) ).
fof(f1323,plain,
( ~ sQ6_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f1322]) ).
fof(f1324,plain,
( ~ sQ18_spl
| ~ sQ19_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f581,f578]) ).
fof(f1325,plain,
( ~ sQ18_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1324,f131]) ).
fof(f1326,plain,
( ~ sQ18_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f1325]) ).
fof(f1338,plain,
( sQ83_spl
| ~ sQ42_spl
| e1 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f656,f842]) ).
fof(f1339,plain,
( ~ sQ55_spl
| ~ sQ52_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f689,f698]) ).
fof(f1340,plain,
( ~ sQ55_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1339,f128]) ).
fof(f1341,plain,
( ~ sQ55_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f1340]) ).
fof(f1342,plain,
( ~ sQ51_spl
| ~ sQ48_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f676,f685]) ).
fof(f1343,plain,
( ~ sQ51_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1342,f128]) ).
fof(f1344,plain,
( ~ sQ51_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f1343]) ).
fof(f1345,plain,
( ~ sQ34_spl
| ~ sQ32_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f624,f630]) ).
fof(f1346,plain,
( ~ sQ34_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1345,f127]) ).
fof(f1347,plain,
( ~ sQ34_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f1346]) ).
fof(f1348,plain,
( ~ sQ17_spl
| ~ sQ16_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f572,f575]) ).
fof(f1349,plain,
( ~ sQ17_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1348,f126]) ).
fof(f1350,plain,
( ~ sQ17_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f1349]) ).
fof(f1357,plain,
( ~ sQ12_spl
| ~ sQ13_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f562,f559]) ).
fof(f1358,plain,
( ~ sQ12_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1357,f126]) ).
fof(f1359,plain,
( ~ sQ12_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f1358]) ).
fof(f1360,plain,
( ~ sQ29_spl
| ~ sQ28_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f611,f614]) ).
fof(f1361,plain,
( ~ sQ29_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1360,f126]) ).
fof(f1362,plain,
( ~ sQ29_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f1361]) ).
fof(f1363,plain,
( ~ sQ46_spl
| ~ sQ44_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f663,f669]) ).
fof(f1364,plain,
( ~ sQ46_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1363,f127]) ).
fof(f1365,plain,
( ~ sQ46_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f1364]) ).
fof(f1366,plain,
( sQ96_spl
| ~ sQ36_spl
| op(e2,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f637,f896]) ).
fof(f1367,plain,
( sQ97_spl
| ~ sQ42_spl
| op(e2,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f656,f900]) ).
fof(f1368,plain,
( sQ97_spl
| ~ sQ42_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f656,f1367]) ).
fof(f1369,plain,
( sQ97_spl
| ~ sQ42_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1368]) ).
fof(f1370,plain,
( sQ97_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f1369]) ).
fof(f1371,plain,
( sQ102_spl
| ~ sQ21_spl
| op(e1,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f588,f930]) ).
fof(f1372,plain,
( sQ102_spl
| ~ sQ21_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f588,f1371]) ).
fof(f1373,plain,
( sQ102_spl
| ~ sQ21_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1372]) ).
fof(f1374,plain,
( sQ102_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f1373]) ).
fof(f1375,plain,
( sQ103_spl
| ~ sQ24_spl
| op(e1,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f598,f934]) ).
fof(f1385,plain,
( ~ sQ5_spl
| e1 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f536,f106]) ).
fof(f1386,plain,
( ~ sQ0_spl
| e0 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f520,f104]) ).
fof(f1390,plain,
( ~ sQ56_spl
| e0 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f702,f125]) ).
fof(f1395,plain,
( ~ sQ24_spl
| e0 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f598,f94]) ).
fof(f1396,plain,
( ~ sQ24_spl
| ~ sQ56_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f702,f1395]) ).
fof(f1397,plain,
( ~ sQ24_spl
| ~ sQ56_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1396]) ).
fof(f1398,plain,
( ~ sQ24_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f1397]) ).
fof(f1399,plain,
( ~ sQ9_spl
| e1 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f549,f92]) ).
fof(f1400,plain,
( ~ sQ63_spl
| op(e3,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f724,f124]) ).
fof(f1401,plain,
( ~ sQ36_spl
| e0 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f637,f89]) ).
fof(f1402,plain,
( ~ sQ5_spl
| e1 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f536,f86]) ).
fof(f1404,plain,
( ~ sQ0_spl
| e0 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f520,f80]) ).
fof(f1405,plain,
( ~ sQ24_spl
| op(e1,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f598,f111]) ).
fof(f1406,plain,
( ~ sQ24_spl
| op(e1,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f598,f109]) ).
fof(f1408,plain,
( ~ sQ9_spl
| e1 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f549,f90]) ).
fof(f1410,plain,
( ~ sQ5_spl
| e1 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f536,f105]) ).
fof(f1411,plain,
( ~ sQ5_spl
| ~ sQ9_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f549,f1410]) ).
fof(f1412,plain,
( ~ sQ5_spl
| ~ sQ9_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1411]) ).
fof(f1413,plain,
( ~ sQ5_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f1412]) ).
fof(f1414,plain,
( ~ sQ0_spl
| e0 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f520,f103]) ).
fof(f1416,plain,
( ~ sQ36_spl
| op(e2,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f637,f114]) ).
fof(f1420,plain,
( ~ sQ33_spl
| sQ96_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f627,f1366]) ).
fof(f1421,plain,
( ~ sQ33_spl
| sQ96_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f1420]) ).
fof(f1423,plain,
( ~ sQ8_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f546,f1414]) ).
fof(f1424,plain,
( ~ sQ8_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f1423]) ).
fof(f1425,plain,
( ~ sQ5_spl
| op(e0,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f536,f102]) ).
fof(f1428,plain,
( ~ sQ18_spl
| sQ103_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f578,f1375]) ).
fof(f1429,plain,
( ~ sQ18_spl
| sQ103_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f1428]) ).
fof(f1432,plain,
( ~ sQ17_spl
| e1 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f575,f108]) ).
fof(f1437,plain,
( sQ101_spl
| ~ sQ17_spl
| op(e1,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f575,f926]) ).
fof(f1451,plain,
( ~ sQ12_spl
| e0 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f559,f97]) ).
fof(f1453,plain,
( ~ sQ12_spl
| e0 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f559,f96]) ).
fof(f1461,plain,
( ~ sQ46_spl
| op(e2,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f669,f116]) ).
fof(f1462,plain,
( ~ sQ46_spl
| op(e2,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f669,f119]) ).
fof(f1464,plain,
( sQ108_spl
| ~ sQ5_spl
| op(e0,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f536,f964]) ).
fof(f1465,plain,
( sQ108_spl
| ~ sQ5_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f536,f1464]) ).
fof(f1466,plain,
( sQ108_spl
| ~ sQ5_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1465]) ).
fof(f1467,plain,
( sQ108_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f1466]) ).
fof(f1468,plain,
( ~ sQ25_spl
| ~ sQ24_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f598,f601]) ).
fof(f1469,plain,
( ~ sQ25_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1468,f126]) ).
fof(f1470,plain,
( ~ sQ25_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f1469]) ).
fof(f1471,plain,
( ~ sQ12_spl
| op(e0,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f559,f107]) ).
fof(f1475,plain,
( ~ sQ38_spl
| op(e1,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f643,f87]) ).
fof(f1477,plain,
( ~ sQ38_spl
| e2 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f643,f117]) ).
fof(f1481,plain,
( sQ77_spl
| ~ sQ20_spl
| e2 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f585,f818]) ).
fof(f1484,plain,
( sQ78_spl
| ~ sQ20_spl
| e3 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f585,f822]) ).
fof(f1487,plain,
( ~ sQ20_spl
| e0 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f585,f88]) ).
fof(f1490,plain,
( ~ sQ10_spl
| e2 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f552,f92]) ).
fof(f1491,plain,
( ~ sQ10_spl
| e2 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f552,f90]) ).
fof(f1492,plain,
( sQ109_spl
| ~ sQ10_spl
| op(e0,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f552,f968]) ).
fof(f1495,plain,
( ~ sQ7_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1317,f528,f541]) ).
fof(f1497,plain,
( ~ sQ7_spl
| ~ sQ4_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f533,f542]) ).
fof(f1498,plain,
( ~ sQ7_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1497,f128]) ).
fof(f1499,plain,
( ~ sQ7_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f1498]) ).
fof(f1500,plain,
( ~ sQ30_spl
| ~ sQ29_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f614,f617]) ).
fof(f1501,plain,
( ~ sQ30_spl
| ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1500,f129]) ).
fof(f1502,plain,
( ~ sQ30_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f1501]) ).
fof(f1509,plain,
( ~ sQ12_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1451,f662,f558]) ).
fof(f1510,plain,
( ~ sQ12_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f1453,f610,f558]) ).
fof(f1513,plain,
( ~ sQ38_spl
| op(e0,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f643,f85]) ).
fof(f1517,plain,
( ~ sQ51_spl
| op(e1,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f685,f82]) ).
fof(f1520,plain,
( sQ107_spl
| ~ sQ1_spl
| op(e0,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f523,f960]) ).
fof(f1524,plain,
( sQ71_spl
| ~ sQ1_spl
| e2 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f523,f794]) ).
fof(f1526,plain,
( sQ72_spl
| ~ sQ1_spl
| e3 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f523,f798]) ).
fof(f1527,plain,
( sQ73_spl
| ~ sQ1_spl
| e2 != op(op(op(e0,e0),e0),e1) ),
inference(backward_demodulation,[status(thm)],[f523,f802]) ).
fof(f1530,plain,
( ~ sQ10_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f1490,f707,f551]) ).
fof(f1531,plain,
( ~ sQ10_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f1491,f603,f551]) ).
fof(f1532,plain,
( sQ109_spl
| ~ sQ10_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f552,f1492]) ).
fof(f1533,plain,
( sQ109_spl
| ~ sQ10_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1532]) ).
fof(f1534,plain,
( sQ109_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f1533]) ).
fof(f1536,plain,
( ~ sQ25_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f601,f94]) ).
fof(f1537,plain,
( ~ sQ25_spl
| op(e1,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f601,f111]) ).
fof(f1539,plain,
( ~ sQ25_spl
| e1 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f601,f93]) ).
fof(f1542,plain,
( ~ sQ56_spl
| op(e2,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f702,f95]) ).
fof(f1545,plain,
( ~ sQ6_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f539,f1513]) ).
fof(f1546,plain,
( ~ sQ6_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f1545]) ).
fof(f1549,plain,
( ~ sQ45_spl
| op(e2,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f666,f116]) ).
fof(f1553,plain,
( ~ sQ55_spl
| op(e1,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f698,f88]) ).
fof(f1557,plain,
( sQ66_spl
| ~ sQ55_spl
| op(e3,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f698,f770]) ).
fof(f1560,plain,
( ~ sQ31_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f1249,f606,f619]) ).
fof(f1561,plain,
( ~ sQ31_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f1252,f723,f619]) ).
fof(f1562,plain,
( sQ104_spl
| ~ sQ31_spl
| op(e1,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f620,f938]) ).
fof(f1567,plain,
( ~ sQ49_spl
| ~ sQ51_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f685,f679]) ).
fof(f1568,plain,
( ~ sQ49_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1567,f130]) ).
fof(f1569,plain,
( ~ sQ49_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f1568]) ).
fof(f1570,plain,
( ~ sQ45_spl
| op(e1,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f666,f99]) ).
fof(f1571,plain,
( sQ103_spl
| ~ sQ25_spl
| op(e1,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f601,f934]) ).
fof(f1572,plain,
( ~ sQ60_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f715,f1390]) ).
fof(f1573,plain,
( ~ sQ60_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f1572]) ).
fof(f1574,plain,
( ~ sQ22_spl
| e2 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f591,f112]) ).
fof(f1577,plain,
( sQ81_spl
| ~ sQ22_spl
| e3 != op(op(op(e1,e1),e1),e2) ),
inference(backward_demodulation,[status(thm)],[f591,f834]) ).
fof(f1579,plain,
( ~ sQ22_spl
| op(e0,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f591,f84]) ).
fof(f1581,plain,
( ~ sQ37_spl
| e1 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f640,f118]) ).
fof(f1582,plain,
( ~ sQ37_spl
| e1 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f640,f89]) ).
fof(f1583,plain,
( ~ sQ37_spl
| e1 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f640,f117]) ).
fof(f1584,plain,
( ~ sQ37_spl
| op(e2,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f640,f114]) ).
fof(f1589,plain,
( ~ sQ11_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f1297,f658,f554]) ).
fof(f1593,plain,
( ~ sQ11_spl
| e3 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f555,f90]) ).
fof(f1598,plain,
( ~ sQ17_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f1432,f587,f574]) ).
fof(f1602,plain,
( sQ96_spl
| ~ sQ37_spl
| op(e2,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f640,f896]) ).
fof(f1603,plain,
( sQ96_spl
| ~ sQ37_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f640,f1602]) ).
fof(f1604,plain,
( sQ96_spl
| ~ sQ37_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1603]) ).
fof(f1605,plain,
( sQ96_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f1604]) ).
fof(f1606,plain,
( ~ sQ59_spl
| op(e3,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f711,f121]) ).
fof(f1607,plain,
( ~ sQ22_spl
| e2 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f591,f88]) ).
fof(f1608,plain,
( ~ sQ59_spl
| op(e1,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f711,f94]) ).
fof(f1609,plain,
( ~ sQ22_spl
| e2 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f591,f111]) ).
fof(f1612,plain,
( ~ sQ14_spl
| op(e0,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f565,f104]) ).
fof(f1613,plain,
( ~ sQ14_spl
| e2 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f565,f98]) ).
fof(f1614,plain,
( ~ sQ14_spl
| op(e0,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f565,f106]) ).
fof(f1617,plain,
( sQ95_spl
| ~ sQ34_spl
| op(e2,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f630,f892]) ).
fof(f1620,plain,
( ~ sQ47_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f1244,f645,f671]) ).
fof(f1621,plain,
( ~ sQ47_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f1245,f632,f671]) ).
fof(f1622,plain,
( ~ sQ47_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f1246,f723,f671]) ).
fof(f1630,plain,
( sQ98_spl
| ~ sQ47_spl
| op(e2,e3) != e3 ),
inference(forward_demodulation,[status(thm)],[f672,f904]) ).
fof(f1631,plain,
( sQ98_spl
| ~ sQ47_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f672,f1630]) ).
fof(f1632,plain,
( sQ98_spl
| ~ sQ47_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1631]) ).
fof(f1633,plain,
( sQ98_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f1632]) ).
fof(f1634,plain,
( ~ sQ50_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f1276,f629,f681]) ).
fof(f1635,plain,
( ~ sQ50_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f1278,f525,f681]) ).
fof(f1646,plain,
( ~ sQ59_spl
| op(e3,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f711,f123]) ).
fof(f1647,plain,
( ~ sQ59_spl
| op(e2,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f711,f95]) ).
fof(f1650,plain,
( ~ sQ40_spl
| op(e1,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f650,f93]) ).
fof(f1653,plain,
( sQ87_spl
| ~ sQ40_spl
| e3 != op(op(op(e2,e2),e2),e0) ),
inference(backward_demodulation,[status(thm)],[f650,f858]) ).
fof(f1662,plain,
( ~ sQ5_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f1402,f691,f535]) ).
fof(f1663,plain,
( ~ sQ5_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1425,f522,f535]) ).
fof(f1668,plain,
( ~ sQ34_spl
| op(e0,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f630,f79]) ).
fof(f1669,plain,
( ~ sQ22_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f1574,f616,f590]) ).
fof(f1672,plain,
( sQ81_spl
| ~ sQ22_spl
| e3 != op(op(e2,e1),e2) ),
inference(forward_demodulation,[status(thm)],[f591,f1577]) ).
fof(f1675,plain,
( sQ83_spl
| ~ sQ40_spl
| e1 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f650,f842]) ).
fof(f1680,plain,
( sQ78_spl
| ~ sQ22_spl
| e3 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f591,f822]) ).
fof(f1683,plain,
( sQ72_spl
| ~ sQ1_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f1526,f580,f522,f796]) ).
fof(f1685,plain,
( sQ66_spl
| ~ sQ53_spl
| op(e3,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f692,f770]) ).
fof(f1688,plain,
( sQ101_spl
| ~ sQ19_spl
| op(e1,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f581,f926]) ).
fof(f1692,plain,
( ~ sQ25_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f1537,f587,f600]) ).
fof(f1696,plain,
( ~ sQ16_spl
| ~ sQ19_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f581,f572]) ).
fof(f1697,plain,
( ~ sQ16_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1696,f128]) ).
fof(f1698,plain,
( ~ sQ16_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f1697]) ).
fof(f1699,plain,
( ~ sQ38_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f1477,f655,f642]) ).
fof(f1700,plain,
( ~ sQ38_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f1475,f590,f642]) ).
fof(f1709,plain,
( ~ sQ59_spl
| op(e0,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f711,f92]) ).
fof(f1714,plain,
( sQ75_spl
| ~ sQ2_spl
| e3 != op(op(op(e0,e0),e0),e2) ),
inference(backward_demodulation,[status(thm)],[f526,f810]) ).
fof(f1716,plain,
( ~ sQ59_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f1606,f684,f710]) ).
fof(f1718,plain,
( ~ sQ15_spl
| op(e0,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f568,f107]) ).
fof(f1729,plain,
( sQ83_spl
| ~ sQ42_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f1338,f652,f655,f840]) ).
fof(f1732,plain,
( ~ sQ13_spl
| ~ sQ15_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f568,f562]) ).
fof(f1733,plain,
( ~ sQ13_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1732,f130]) ).
fof(f1734,plain,
( ~ sQ13_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f1733]) ).
fof(f1736,plain,
( ~ sQ55_spl
| op(e3,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f698,f120]) ).
fof(f1744,plain,
( ~ sQ0_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f1386,f558,f519]) ).
fof(f1750,plain,
( ~ sQ45_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f1570,f613,f665]) ).
fof(f1752,plain,
( ~ sQ56_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f1542,f649,f701]) ).
fof(f1764,plain,
( sQ91_spl
| ~ sQ62_spl
| e1 != op(op(op(e3,e3),e3),e2) ),
inference(backward_demodulation,[status(thm)],[f721,f874]) ).
fof(f1778,plain,
( sQ95_spl
| ~ sQ34_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f1617,f649,f629,f890]) ).
fof(f1784,plain,
( ~ sQ29_spl
| op(e1,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f614,f110]) ).
fof(f1793,plain,
( sQ79_spl
| ~ sQ23_spl
| e2 != op(op(op(e1,e1),e1),e3) ),
inference(backward_demodulation,[status(thm)],[f594,f826]) ).
fof(f1796,plain,
( ~ sQ46_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f1462,f655,f668]) ).
fof(f1797,plain,
( ~ sQ46_spl
| op(e2,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f669,f118]) ).
fof(f1799,plain,
( ~ sQ4_spl
| e0 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f533,f85]) ).
fof(f1802,plain,
( ~ sQ36_spl
| e0 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f637,f117]) ).
fof(f1805,plain,
( ~ sQ36_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f1401,f688,f636]) ).
fof(f1806,plain,
( ~ sQ36_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f1416,f623,f636]) ).
fof(f1810,plain,
( ~ sQ9_spl
| e1 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f549,f91]) ).
fof(f1811,plain,
( ~ sQ9_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f1399,f704,f548]) ).
fof(f1812,plain,
( ~ sQ9_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f1408,f600,f548]) ).
fof(f1814,plain,
( ~ sQ4_spl
| e0 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f533,f106]) ).
fof(f1819,plain,
( sQ108_spl
| ~ sQ4_spl
| op(e0,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f533,f964]) ).
fof(f1822,plain,
( ~ sQ1_spl
| sQ108_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f523,f1819]) ).
fof(f1823,plain,
( ~ sQ1_spl
| sQ108_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f1822]) ).
fof(f1826,plain,
( ~ sQ59_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f1647,f658,f710]) ).
fof(f1827,plain,
( ~ sQ59_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f1608,f606,f710]) ).
fof(f1828,plain,
( ~ sQ59_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f1646,f697,f710]) ).
fof(f1835,plain,
( sQ85_spl
| ~ sQ42_spl
| e1 != op(op(op(e2,e2),e2),e2) ),
inference(backward_demodulation,[status(thm)],[f656,f850]) ).
fof(f1838,plain,
( ~ sQ42_spl
| op(e2,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f656,f115]) ).
fof(f1842,plain,
( ~ sQ37_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f1581,f665,f639]) ).
fof(f1844,plain,
( ~ sQ37_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1584,f626,f639]) ).
fof(f1847,plain,
( sQ73_spl
| ~ sQ1_spl
| ~ sQ72_spl
| e2 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f797,f1527]) ).
fof(f1850,plain,
( sQ70_spl
| ~ sQ72_spl
| e1 != op(e3,op(e0,e0)) ),
inference(backward_demodulation,[status(thm)],[f797,f791]) ).
fof(f1853,plain,
( ~ sQ22_spl
| ~ sQ23_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f594,f591]) ).
fof(f1854,plain,
( ~ sQ22_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1853,f131]) ).
fof(f1855,plain,
( ~ sQ22_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f1854]) ).
fof(f1856,plain,
( ~ sQ42_spl
| e2 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f656,f95]) ).
fof(f1868,plain,
( ~ sQ3_spl
| e3 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f529,f79]) ).
fof(f1874,plain,
( sQ79_spl
| ~ sQ23_spl
| e2 != op(op(e3,e1),e3) ),
inference(forward_demodulation,[status(thm)],[f594,f1793]) ).
fof(f1876,plain,
( ~ sQ55_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f1553,f593,f697]) ).
fof(f1881,plain,
( ~ sQ43_spl
| ~ sQ42_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f656,f659]) ).
fof(f1882,plain,
( ~ sQ43_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1881,f131]) ).
fof(f1883,plain,
( ~ sQ43_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f1882]) ).
fof(f1886,plain,
( sQ87_spl
| ~ sQ40_spl
| e3 != op(op(e0,e2),e0) ),
inference(backward_demodulation,[status(thm)],[f650,f1653]) ).
fof(f1888,plain,
( ~ sQ8_spl
| op(e0,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f546,f105]) ).
fof(f1892,plain,
( ~ sQ35_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f1303,f580,f632]) ).
fof(f1899,plain,
( ~ sQ8_spl
| e0 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f546,f90]) ).
fof(f1900,plain,
( ~ sQ8_spl
| e0 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f546,f91]) ).
fof(f1901,plain,
( ~ sQ8_spl
| ~ sQ40_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f650,f1900]) ).
fof(f1902,plain,
( ~ sQ8_spl
| ~ sQ40_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1901]) ).
fof(f1903,plain,
( ~ sQ8_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f1902]) ).
fof(f1904,plain,
( ~ sQ54_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f1270,f720,f694]) ).
fof(f1917,plain,
( ~ sQ59_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1709,f554,f710]) ).
fof(f1929,plain,
( ~ sQ39_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f1300,f593,f645]) ).
fof(f1935,plain,
( sQ92_spl
| ~ sQ61_spl
| e0 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f718,f877]) ).
fof(f1937,plain,
( sQ93_spl
| ~ sQ61_spl
| e2 != op(op(op(e3,e3),e3),e1) ),
inference(backward_demodulation,[status(thm)],[f718,f882]) ).
fof(f1940,plain,
( ~ sQ61_spl
| op(e1,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f718,f100]) ).
fof(f1941,plain,
( ~ sQ61_spl
| op(e2,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f718,f101]) ).
fof(f1944,plain,
( ~ sQ61_spl
| op(e0,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f718,f98]) ).
fof(f1945,plain,
( ~ sQ15_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1718,f554,f567]) ).
fof(f1949,plain,
( sQ110_spl
| ~ sQ15_spl
| op(e0,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f568,f972]) ).
fof(f1955,plain,
( ~ sQ15_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1256,f528,f567]) ).
fof(f1962,plain,
( ~ sQ48_spl
| e0 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f676,f120]) ).
fof(f1965,plain,
( sQ65_spl
| ~ sQ48_spl
| op(e3,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f676,f766]) ).
fof(f1966,plain,
( sQ65_spl
| ~ sQ48_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f676,f1965]) ).
fof(f1967,plain,
( sQ65_spl
| ~ sQ48_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1966]) ).
fof(f1968,plain,
( sQ65_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f1967]) ).
fof(f1970,plain,
( ~ sQ42_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f1838,f629,f655]) ).
fof(f1972,plain,
( sQ85_spl
| ~ sQ42_spl
| e1 != op(op(e2,e2),e2) ),
inference(backward_demodulation,[status(thm)],[f656,f1835]) ).
fof(f1981,plain,
( sQ103_spl
| ~ sQ25_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f1571,f590,f600,f932]) ).
fof(f1982,plain,
( ~ sQ11_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f1295,f541,f554]) ).
fof(f1984,plain,
( ~ sQ11_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f1593,f606,f554]) ).
fof(f1990,plain,
( ~ sQ16_spl
| op(e0,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f572,f78]) ).
fof(f1993,plain,
( ~ sQ16_spl
| e0 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f572,f108]) ).
fof(f1994,plain,
( ~ sQ16_spl
| e0 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f572,f110]) ).
fof(f1995,plain,
( sQ101_spl
| ~ sQ16_spl
| op(e1,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f572,f926]) ).
fof(f1999,plain,
( ~ sQ44_spl
| op(e1,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f663,f99]) ).
fof(f2002,plain,
( ~ sQ62_spl
| ~ sQ61_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f718,f721]) ).
fof(f2003,plain,
( ~ sQ62_spl
| ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2002,f129]) ).
fof(f2004,plain,
( ~ sQ62_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f2003]) ).
fof(f2005,plain,
( ~ sQ25_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f1536,f704,f600]) ).
fof(f2022,plain,
( ~ sQ14_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f1614,f538,f564]) ).
fof(f2025,plain,
( ~ sQ14_spl
| op(e0,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f565,f107]) ).
fof(f2029,plain,
( ~ sQ47_spl
| op(e2,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f672,f119]) ).
fof(f2040,plain,
( ~ sQ20_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f1487,f688,f584]) ).
fof(f2046,plain,
( ~ sQ20_spl
| op(e0,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f585,f84]) ).
fof(f2049,plain,
( sQ81_spl
| ~ sQ20_spl
| e3 != op(op(op(e1,e1),e1),e0) ),
inference(backward_demodulation,[status(thm)],[f585,f834]) ).
fof(f2051,plain,
( ~ sQ20_spl
| e0 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f585,f112]) ).
fof(f2071,plain,
( ~ sQ42_spl
| op(e1,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f656,f93]) ).
fof(f2082,plain,
( ~ sQ32_spl
| op(e0,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f624,f79]) ).
fof(f2085,plain,
( ~ sQ17_spl
| e1 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f575,f109]) ).
fof(f2087,plain,
( sQ101_spl
| ~ sQ17_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f1437,f584,f574,f924]) ).
fof(f2100,plain,
( ~ sQ52_spl
| e0 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f689,f124]) ).
fof(f2101,plain,
( ~ sQ52_spl
| op(e0,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f689,f86]) ).
fof(f2104,plain,
( ~ sQ42_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f1856,f707,f655]) ).
fof(f2113,plain,
( ~ sQ51_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f1517,f580,f684]) ).
fof(f2118,plain,
( sQ85_spl
| ~ sQ42_spl
| ~ sQ83_spl ),
inference(split_clause,[status(thm)],[f1972,f840,f655,f848]) ).
fof(f2144,plain,
( sQ66_spl
| ~ sQ52_spl
| op(e3,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f689,f770]) ).
fof(f2148,plain,
( sQ74_spl
| ~ sQ2_spl
| e1 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f526,f805]) ).
fof(f2150,plain,
( sQ75_spl
| ~ sQ2_spl
| e3 != op(op(e2,e0),e2) ),
inference(backward_demodulation,[status(thm)],[f526,f1714]) ).
fof(f2162,plain,
( ~ sQ42_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f2071,f603,f655]) ).
fof(f2163,plain,
( ~ sQ32_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f2082,f519,f623]) ).
fof(f2165,plain,
( ~ sQ22_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f1609,f603,f590]) ).
fof(f2166,plain,
( ~ sQ22_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f1579,f538,f590]) ).
fof(f2172,plain,
( sQ78_spl
| ~ sQ22_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f1680,f645,f590,f820]) ).
fof(f2173,plain,
( ~ sQ40_spl
| ~ sQ42_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f656,f650]) ).
fof(f2174,plain,
( ~ sQ40_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2173,f127]) ).
fof(f2175,plain,
( ~ sQ40_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f2174]) ).
fof(f2179,plain,
( sQ107_spl
| ~ sQ1_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f1520,f532,f522,f958]) ).
fof(f2180,plain,
( sQ71_spl
| ~ sQ1_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f1524,f577,f522,f792]) ).
fof(f2184,plain,
( ~ sQ25_spl
| e1 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f601,f113]) ).
fof(f2185,plain,
( ~ sQ25_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f1539,f652,f600]) ).
fof(f2192,plain,
( ~ sQ52_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f2101,f532,f688]) ).
fof(f2193,plain,
( sQ84_spl
| ~ sQ40_spl
| e3 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f650,f846]) ).
fof(f2203,plain,
( ~ sQ37_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f1583,f652,f639]) ).
fof(f2218,plain,
( ~ sQ59_spl
| e3 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f711,f125]) ).
fof(f2222,plain,
( sQ77_spl
| ~ sQ23_spl
| e2 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f594,f818]) ).
fof(f2223,plain,
( sQ80_spl
| ~ sQ23_spl
| e0 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f594,f829]) ).
fof(f2237,plain,
( sQ79_spl
| ~ sQ23_spl
| ~ sQ52_spl
| e2 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f689,f1874]) ).
fof(f2244,plain,
( ~ sQ47_spl
| op(e0,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f672,f97]) ).
fof(f2248,plain,
( sQ66_spl
| ~ sQ52_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f2144,f678,f688,f768]) ).
fof(f2253,plain,
( sQ87_spl
| ~ sQ40_spl
| ~ sQ10_spl
| e3 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f552,f1886]) ).
fof(f2257,plain,
( ~ sQ10_spl
| op(e0,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f552,f105]) ).
fof(f2270,plain,
( ~ sQ46_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f1461,f629,f668]) ).
fof(f2271,plain,
( ~ sQ46_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f1797,f642,f668]) ).
fof(f2272,plain,
( ~ sQ46_spl
| ~ sQ47_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f672,f669]) ).
fof(f2273,plain,
( ~ sQ46_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2272,f131]) ).
fof(f2274,plain,
( ~ sQ46_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f2273]) ).
fof(f2275,plain,
( ~ sQ18_spl
| e2 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f578,f81]) ).
fof(f2284,plain,
( ~ sQ61_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f1940,f613,f717]) ).
fof(f2286,plain,
( sQ93_spl
| ~ sQ61_spl
| e2 != op(op(e1,e3),e1) ),
inference(backward_demodulation,[status(thm)],[f718,f1937]) ).
fof(f2297,plain,
( ~ sQ25_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f2184,f613,f600]) ).
fof(f2304,plain,
( ~ sQ42_spl
| op(e0,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f656,f91]) ).
fof(f2331,plain,
( sQ66_spl
| ~ sQ54_spl
| op(e3,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f695,f770]) ).
fof(f2336,plain,
( ~ sQ61_spl
| op(e3,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f718,f125]) ).
fof(f2346,plain,
( sQ67_spl
| ~ sQ56_spl
| op(e3,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f702,f774]) ).
fof(f2369,plain,
( sQ81_spl
| ~ sQ20_spl
| e3 != op(op(e0,e1),e0) ),
inference(backward_demodulation,[status(thm)],[f585,f2049]) ).
fof(f2387,plain,
( ~ sQ108_spl
| ~ sQ5_spl
| op(e0,e1) = e1 ),
inference(backward_demodulation,[status(thm)],[f536,f963]) ).
fof(f2401,plain,
( sQ65_spl
| ~ sQ51_spl
| op(e3,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f685,f766]) ).
fof(f2442,plain,
( ~ sQ31_spl
| ~ sQ29_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f614,f620]) ).
fof(f2443,plain,
( ~ sQ31_spl
| ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2442,f130]) ).
fof(f2444,plain,
( ~ sQ31_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f2443]) ).
fof(f2446,plain,
( ~ sQ31_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f1251,f580,f619]) ).
fof(f2452,plain,
( sQ73_spl
| ~ sQ1_spl
| ~ sQ72_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f1847,f694,f796,f522,f800]) ).
fof(f2462,plain,
( sQ81_spl
| ~ sQ22_spl
| ~ sQ39_spl
| e3 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f646,f1672]) ).
fof(f2466,plain,
( ~ sQ22_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f1607,f694,f590]) ).
fof(f2469,plain,
( sQ75_spl
| ~ sQ1_spl
| e3 != op(op(op(e0,e0),e0),e1) ),
inference(backward_demodulation,[status(thm)],[f523,f810]) ).
fof(f2470,plain,
( sQ70_spl
| ~ sQ72_spl
| ~ sQ1_spl
| e1 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f523,f1850]) ).
fof(f2484,plain,
( ~ sQ1_spl
| e1 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f523,f103]) ).
fof(f2485,plain,
( ~ sQ14_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2025,f551,f564]) ).
fof(f2494,plain,
( ~ sQ59_spl
| sQ81_spl
| ~ sQ22_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f711,f2462]) ).
fof(f2495,plain,
( ~ sQ59_spl
| sQ81_spl
| ~ sQ22_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f2494]) ).
fof(f2501,plain,
( ~ sQ41_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f653,f95]) ).
fof(f2504,plain,
( sQ82_spl
| ~ sQ41_spl
| e0 != op(op(op(e2,e2),e2),e1) ),
inference(backward_demodulation,[status(thm)],[f653,f839]) ).
fof(f2505,plain,
( sQ97_spl
| ~ sQ41_spl
| op(e2,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f653,f900]) ).
fof(f2506,plain,
( sQ98_spl
| ~ sQ44_spl
| op(e2,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f663,f904]) ).
fof(f2508,plain,
( ~ sQ48_spl
| op(e2,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f676,f83]) ).
fof(f2512,plain,
( ~ sQ48_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f1962,f688,f675]) ).
fof(f2516,plain,
( ~ sQ3_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f1868,f632,f528]) ).
fof(f2521,plain,
( ~ sQ31_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f1250,f593,f619]) ).
fof(f2522,plain,
( ~ sQ44_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f1999,f610,f662]) ).
fof(f2528,plain,
( ~ sQ14_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f1612,f525,f564]) ).
fof(f2549,plain,
( ~ sQ3_spl
| e3 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f529,f103]) ).
fof(f2555,plain,
( sQ104_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f1562,f619,f936]) ).
fof(f2562,plain,
( ~ sQ1_spl
| ~ sQ3_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f529,f523]) ).
fof(f2563,plain,
( ~ sQ1_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2562,f130]) ).
fof(f2564,plain,
( ~ sQ1_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f2563]) ).
fof(f2566,plain,
( ~ sQ47_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f2029,f658,f671]) ).
fof(f2574,plain,
( ~ sQ16_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1990,f519,f571]) ).
fof(f2575,plain,
( ~ sQ16_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f1993,f584,f571]) ).
fof(f2576,plain,
( ~ sQ16_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f1994,f610,f571]) ).
fof(f2577,plain,
( sQ101_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f1995,f571,f924]) ).
fof(f2586,plain,
( ~ sQ55_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f1736,f684,f697]) ).
fof(f2607,plain,
( sQ89_spl
| ~ sQ62_spl
| e1 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f721,f866]) ).
fof(f2608,plain,
( sQ91_spl
| ~ sQ62_spl
| e1 != op(op(e2,e3),e2) ),
inference(forward_demodulation,[status(thm)],[f721,f1764]) ).
fof(f2621,plain,
( ~ sQ10_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f2257,f538,f551]) ).
fof(f2630,plain,
( ~ sQ53_spl
| ~ sQ55_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f698,f692]) ).
fof(f2631,plain,
( ~ sQ53_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2630,f130]) ).
fof(f2632,plain,
( ~ sQ53_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f2631]) ).
fof(f2635,plain,
( ~ sQ36_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f1802,f649,f636]) ).
fof(f2640,plain,
( ~ sQ36_spl
| op(e1,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f637,f87]) ).
fof(f2644,plain,
( ~ sQ13_spl
| op(e0,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f562,f104]) ).
fof(f2648,plain,
( ~ sQ13_spl
| e1 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f562,f96]) ).
fof(f2656,plain,
( ~ sQ0_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f1404,f675,f519]) ).
fof(f2661,plain,
( sQ87_spl
| ~ sQ40_spl
| ~ sQ10_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f2253,f632,f551,f649,f856]) ).
fof(f2662,plain,
( sQ92_spl
| ~ sQ61_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f1935,f610,f717,f875]) ).
fof(f2669,plain,
( sQ87_spl
| ~ sQ40_spl
| e3 != op(op(op(e2,e2),e2),e0) ),
inference(backward_demodulation,[status(thm)],[f650,f858]) ).
fof(f2670,plain,
( sQ85_spl
| ~ sQ40_spl
| e1 != op(op(op(e2,e2),e2),e0) ),
inference(backward_demodulation,[status(thm)],[f650,f850]) ).
fof(f2677,plain,
( ~ sQ40_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f1650,f597,f649]) ).
fof(f2685,plain,
( ~ sQ59_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f2218,f723,f710]) ).
fof(f2689,plain,
( ~ sQ61_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f2336,f704,f717]) ).
fof(f2690,plain,
( ~ sQ61_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f1941,f665,f717]) ).
fof(f2695,plain,
( ~ sQ61_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f1944,f561,f717]) ).
fof(f2701,plain,
( ~ sQ61_spl
| op(e3,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f718,f122]) ).
fof(f2755,plain,
( ~ sQ54_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f1271,f681,f694]) ).
fof(f2766,plain,
( ~ sQ5_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f1385,f561,f535]) ).
fof(f2770,plain,
( ~ sQ63_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f1400,f697,f723]) ).
fof(f2775,plain,
( ~ sQ13_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f2648,f613,f561]) ).
fof(f2777,plain,
( sQ77_spl
| ~ sQ20_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f1481,f538,f584,f816]) ).
fof(f2808,plain,
( sQ89_spl
| ~ sQ62_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f2607,f665,f720,f864]) ).
fof(f2817,plain,
( ~ sQ39_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f1298,f658,f645]) ).
fof(f2845,plain,
( sQ85_spl
| ~ sQ40_spl
| e1 != op(op(e0,e2),e0) ),
inference(backward_demodulation,[status(thm)],[f650,f2670]) ).
fof(f2853,plain,
( sQ83_spl
| ~ sQ40_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f1675,f548,f649,f840]) ).
fof(f2856,plain,
( ~ sQ31_spl
| e3 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f620,f99]) ).
fof(f2870,plain,
( ~ sQ43_spl
| ~ sQ40_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f650,f659]) ).
fof(f2871,plain,
( ~ sQ43_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2870,f128]) ).
fof(f2872,plain,
( ~ sQ43_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f2871]) ).
fof(f2879,plain,
( ~ sQ62_spl
| op(e2,e3) != e2 ),
inference(forward_demodulation,[status(thm)],[f721,f101]) ).
fof(f2890,plain,
( ~ sQ29_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f1784,f574,f613]) ).
fof(f2924,plain,
( ~ sQ41_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f2501,f704,f652]) ).
fof(f2933,plain,
( sQ97_spl
| ~ sQ41_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f2505,f642,f652,f898]) ).
fof(f2934,plain,
( sQ82_spl
| ~ sQ41_spl
| e0 != op(op(e1,e2),e1) ),
inference(forward_demodulation,[status(thm)],[f653,f2504]) ).
fof(f2972,plain,
( ~ sQ35_spl
| e3 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f633,f83]) ).
fof(f2983,plain,
( sQ98_spl
| ~ sQ44_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f2506,f632,f662,f902]) ).
fof(f3015,plain,
( sQ70_spl
| ~ sQ72_spl
| ~ sQ1_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f2470,f691,f522,f796,f789]) ).
fof(f3021,plain,
( ~ sQ1_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f2484,f548,f522]) ).
fof(f3028,plain,
( sQ75_spl
| ~ sQ1_spl
| e3 != op(op(e1,e0),e1) ),
inference(backward_demodulation,[status(thm)],[f523,f2469]) ).
fof(f3033,plain,
( ~ sQ52_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f2100,f714,f688]) ).
fof(f3108,plain,
( ~ sQ72_spl
| ~ sQ1_spl
| e3 = op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f523,f797]) ).
fof(f3119,plain,
( ~ sQ37_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f1582,f691,f639]) ).
fof(f3123,plain,
( ~ sQ1_spl
| e1 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f523,f80]) ).
fof(f3125,plain,
( ~ sQ1_spl
| e1 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f523,f79]) ).
fof(f3126,plain,
( ~ sQ1_spl
| e1 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f523,f78]) ).
fof(f3161,plain,
( sQ87_spl
| ~ sQ40_spl
| e3 != op(op(e0,e2),e0) ),
inference(forward_demodulation,[status(thm)],[f650,f2669]) ).
fof(f3169,plain,
( ~ sQ40_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f650,f119]) ).
fof(f3176,plain,
( ~ sQ61_spl
| ~ sQ60_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f715,f718]) ).
fof(f3177,plain,
( ~ sQ61_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3176,f126]) ).
fof(f3178,plain,
( ~ sQ61_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f3177]) ).
fof(f3179,plain,
( ~ sQ20_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f2051,f610,f584]) ).
fof(f3221,plain,
( ~ sQ62_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f2879,f668,f720]) ).
fof(f3240,plain,
( ~ sQ39_spl
| op(e2,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f646,f114]) ).
fof(f3256,plain,
( sQ66_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f1685,f691,f768]) ).
fof(f3273,plain,
( ~ sQ17_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f2085,f600,f574]) ).
fof(f3281,plain,
( sQ80_spl
| ~ sQ23_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f2223,f688,f593,f827]) ).
fof(f3282,plain,
( sQ85_spl
| ~ sQ40_spl
| ~ sQ11_spl
| e1 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f555,f2845]) ).
fof(f3285,plain,
( sQ87_spl
| ~ sQ40_spl
| ~ sQ11_spl
| e3 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f555,f3161]) ).
fof(f3286,plain,
( sQ87_spl
| ~ sQ40_spl
| ~ sQ11_spl
| ~ sQ51_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f685,f3285]) ).
fof(f3287,plain,
( sQ87_spl
| ~ sQ40_spl
| ~ sQ11_spl
| ~ sQ51_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3286]) ).
fof(f3288,plain,
( sQ87_spl
| ~ sQ40_spl
| ~ sQ11_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f3287]) ).
fof(f3289,plain,
( ~ sQ40_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f3169,f662,f649]) ).
fof(f3302,plain,
( ~ sQ38_spl
| e2 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f643,f89]) ).
fof(f3303,plain,
( ~ sQ38_spl
| op(e2,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f643,f114]) ).
fof(f3310,plain,
( ~ sQ14_spl
| e2 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f565,f97]) ).
fof(f3316,plain,
( ~ sQ14_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f1613,f720,f564]) ).
fof(f3320,plain,
( sQ85_spl
| ~ sQ40_spl
| e1 != op(op(e0,e2),op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f650,f850]) ).
fof(f3331,plain,
( ~ sQ1_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f3125,f626,f522]) ).
fof(f3335,plain,
( sQ75_spl
| ~ sQ1_spl
| ~ sQ72_spl
| e3 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f3108,f3028]) ).
fof(f3361,plain,
( ~ sQ20_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f2046,f532,f584]) ).
fof(f3381,plain,
( ~ sQ63_spl
| ~ sQ62_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f721,f724]) ).
fof(f3382,plain,
( ~ sQ63_spl
| ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3381,f131]) ).
fof(f3383,plain,
( ~ sQ63_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f3382]) ).
fof(f3384,plain,
( ~ sQ19_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f1319,f593,f580]) ).
fof(f3385,plain,
( sQ101_spl
| ~ sQ19_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f1688,f610,f580,f924]) ).
fof(f3393,plain,
( ~ sQ38_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f3302,f694,f642]) ).
fof(f3394,plain,
( ~ sQ38_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f3303,f629,f642]) ).
fof(f3402,plain,
( ~ sQ61_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f2701,f678,f717]) ).
fof(f3405,plain,
( sQ88_spl
| ~ sQ61_spl
| e0 != op(op(op(e3,e3),e3),e1) ),
inference(backward_demodulation,[status(thm)],[f718,f863]) ).
fof(f3415,plain,
( ~ sQ66_spl
| ~ sQ52_spl
| op(e3,e0) = e1 ),
inference(backward_demodulation,[status(thm)],[f689,f769]) ).
fof(f3441,plain,
( ~ sQ47_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f2244,f567,f671]) ).
fof(f3475,plain,
( ~ sQ62_spl
| op(e3,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f721,f122]) ).
fof(f3476,plain,
( ~ sQ62_spl
| op(e1,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f721,f100]) ).
fof(f3480,plain,
( ~ sQ62_spl
| op(e3,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f721,f125]) ).
fof(f3481,plain,
( sQ88_spl
| ~ sQ62_spl
| e0 != op(op(op(e3,e3),e3),e2) ),
inference(backward_demodulation,[status(thm)],[f721,f863]) ).
fof(f3485,plain,
( ~ sQ43_spl
| op(e2,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f659,f115]) ).
fof(f3492,plain,
( sQ82_spl
| ~ sQ43_spl
| e0 != op(op(op(e2,e2),e2),e3) ),
inference(backward_demodulation,[status(thm)],[f659,f839]) ).
fof(f3507,plain,
( sQ79_spl
| ~ sQ20_spl
| e2 != op(op(op(e1,e1),e1),e0) ),
inference(backward_demodulation,[status(thm)],[f585,f826]) ).
fof(f3508,plain,
( sQ81_spl
| ~ sQ20_spl
| ~ sQ108_spl
| ~ sQ5_spl
| e3 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f2387,f2369]) ).
fof(f3509,plain,
( sQ81_spl
| ~ sQ20_spl
| ~ sQ108_spl
| ~ sQ5_spl
| ~ sQ19_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f581,f3508]) ).
fof(f3510,plain,
( sQ81_spl
| ~ sQ20_spl
| ~ sQ108_spl
| ~ sQ5_spl
| ~ sQ19_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3509]) ).
fof(f3511,plain,
( sQ81_spl
| ~ sQ20_spl
| ~ sQ108_spl
| ~ sQ5_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f3510]) ).
fof(f3572,plain,
( sQ72_spl
| ~ sQ2_spl
| e3 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f526,f798]) ).
fof(f3576,plain,
( sQ75_spl
| ~ sQ2_spl
| e3 != op(op(op(e0,e0),e0),e2) ),
inference(backward_demodulation,[status(thm)],[f526,f810]) ).
fof(f3582,plain,
( sQ74_spl
| ~ sQ2_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f2148,f626,f525,f803]) ).
fof(f3598,plain,
( sQ103_spl
| ~ sQ26_spl
| op(e1,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f604,f934]) ).
fof(f3656,plain,
( sQ82_spl
| ~ sQ43_spl
| e0 != op(op(e3,e2),e3) ),
inference(forward_demodulation,[status(thm)],[f659,f3492]) ).
fof(f3657,plain,
( sQ82_spl
| ~ sQ43_spl
| ~ sQ57_spl
| e0 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f705,f3656]) ).
fof(f3663,plain,
( sQ79_spl
| ~ sQ20_spl
| e2 != op(op(e0,e1),e0) ),
inference(forward_demodulation,[status(thm)],[f585,f3507]) ).
fof(f3668,plain,
( ~ sQ81_spl
| ~ sQ20_spl
| e3 = op(op(e0,e1),op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f585,f833]) ).
fof(f3669,plain,
( ~ sQ81_spl
| ~ sQ20_spl
| ~ sQ108_spl
| ~ sQ5_spl
| e3 = op(e1,op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f2387,f3668]) ).
fof(f3670,plain,
( ~ sQ81_spl
| ~ sQ20_spl
| ~ sQ108_spl
| ~ sQ5_spl
| e3 = op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f585,f3669]) ).
fof(f3684,plain,
( sQ75_spl
| ~ sQ2_spl
| e3 != op(op(e2,e0),e2) ),
inference(forward_demodulation,[status(thm)],[f526,f3576]) ).
fof(f3689,plain,
( sQ103_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f3598,f603,f932]) ).
fof(f3699,plain,
( ~ sQ74_spl
| ~ sQ2_spl
| e1 = op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f526,f804]) ).
fof(f3708,plain,
( ~ sQ62_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f3476,f616,f720]) ).
fof(f3715,plain,
( ~ sQ62_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f3480,f707,f720]) ).
fof(f3721,plain,
( ~ sQ48_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f2508,f623,f675]) ).
fof(f3733,plain,
( ~ sQ45_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1549,f626,f665]) ).
fof(f3750,plain,
( sQ68_spl
| ~ sQ61_spl
| op(e3,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f718,f778]) ).
fof(f3795,plain,
( ~ sQ8_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f1899,f597,f545]) ).
fof(f3811,plain,
( ~ sQ41_spl
| e1 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f653,f119]) ).
fof(f3815,plain,
( sQ86_spl
| ~ sQ41_spl
| e0 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f653,f853]) ).
fof(f3819,plain,
( ~ sQ11_spl
| ~ sQ8_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f546,f555]) ).
fof(f3820,plain,
( ~ sQ11_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3819,f128]) ).
fof(f3821,plain,
( ~ sQ11_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f3820]) ).
fof(f3823,plain,
( sQ95_spl
| ~ sQ32_spl
| op(e2,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f624,f892]) ).
fof(f3824,plain,
( sQ95_spl
| ~ sQ32_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f624,f3823]) ).
fof(f3825,plain,
( sQ95_spl
| ~ sQ32_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3824]) ).
fof(f3826,plain,
( sQ95_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f3825]) ).
fof(f3832,plain,
( ~ sQ39_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f3240,f632,f645]) ).
fof(f3857,plain,
( ~ sQ24_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f1406,f571,f597]) ).
fof(f3859,plain,
( ~ sQ78_spl
| ~ sQ22_spl
| e3 = op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f591,f821]) ).
fof(f3868,plain,
( ~ sQ41_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f3811,f665,f652]) ).
fof(f3871,plain,
( sQ86_spl
| ~ sQ41_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f3815,f597,f652,f851]) ).
fof(f3916,plain,
( ~ sQ53_spl
| e1 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f692,f124]) ).
fof(f3920,plain,
( ~ sQ45_spl
| ~ sQ46_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f669,f666]) ).
fof(f3921,plain,
( ~ sQ45_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3920,f129]) ).
fof(f3922,plain,
( ~ sQ45_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f3921]) ).
fof(f3926,plain,
( ~ sQ60_spl
| op(e3,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f715,f122]) ).
fof(f3928,plain,
( ~ sQ60_spl
| op(e0,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f715,f98]) ).
fof(f3934,plain,
( sQ93_spl
| ~ sQ60_spl
| e2 != op(op(e0,e3),op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f715,f882]) ).
fof(f3935,plain,
( sQ93_spl
| ~ sQ60_spl
| e2 != op(op(e0,e3),e0) ),
inference(forward_demodulation,[status(thm)],[f715,f3934]) ).
fof(f4007,plain,
( ~ sQ33_spl
| op(e1,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f627,f81]) ).
fof(f4025,plain,
( ~ sQ9_spl
| e1 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f549,f107]) ).
fof(f4049,plain,
( sQ93_spl
| ~ sQ60_spl
| ~ sQ14_spl
| e2 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f565,f3935]) ).
fof(f4059,plain,
( sQ110_spl
| ~ sQ14_spl
| op(e0,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f565,f972]) ).
fof(f4068,plain,
( ~ sQ83_spl
| ~ sQ40_spl
| e1 = op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f650,f841]) ).
fof(f4071,plain,
( sQ103_spl
| ~ sQ27_spl
| op(e1,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f607,f934]) ).
fof(f4099,plain,
( sQ107_spl
| ~ sQ0_spl
| op(e0,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f520,f960]) ).
fof(f4100,plain,
( sQ107_spl
| ~ sQ0_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f520,f4099]) ).
fof(f4101,plain,
( sQ107_spl
| ~ sQ0_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4100]) ).
fof(f4102,plain,
( sQ107_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f4101]) ).
fof(f4104,plain,
( ~ sQ60_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f3926,f675,f714]) ).
fof(f4105,plain,
( ~ sQ33_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f4007,f574,f626]) ).
fof(f4106,plain,
( ~ sQ9_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f4025,f561,f548]) ).
fof(f4107,plain,
( sQ75_spl
| ~ sQ2_spl
| ~ sQ33_spl
| e3 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f627,f3684]) ).
fof(f4113,plain,
( ~ sQ62_spl
| ~ sQ60_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f715,f721]) ).
fof(f4114,plain,
( ~ sQ62_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4113,f127]) ).
fof(f4115,plain,
( ~ sQ62_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f4114]) ).
fof(f4134,plain,
( sQ79_spl
| ~ sQ23_spl
| ~ sQ52_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f2237,f564,f688,f593,f824]) ).
fof(f4203,plain,
( sQ93_spl
| ~ sQ61_spl
| ~ sQ28_spl
| e2 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f611,f2286]) ).
fof(f4229,plain,
( sQ84_spl
| ~ sQ40_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f2193,f554,f649,f844]) ).
fof(f4239,plain,
( ~ sQ52_spl
| e0 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f689,f123]) ).
fof(f4303,plain,
( sQ90_spl
| ~ sQ61_spl
| e2 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f718,f870]) ).
fof(f4358,plain,
( ~ sQ65_spl
| ~ sQ48_spl
| op(e3,e0) = e0 ),
inference(backward_demodulation,[status(thm)],[f676,f765]) ).
fof(f4392,plain,
( ~ sQ8_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f1888,f532,f545]) ).
fof(f4393,plain,
( ~ sQ4_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f1799,f636,f532]) ).
fof(f4395,plain,
( ~ sQ4_spl
| ~ sQ108_spl
| ~ sQ5_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f2387,f533]) ).
fof(f4396,plain,
( ~ sQ4_spl
| ~ sQ108_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4395,f126]) ).
fof(f4397,plain,
( ~ sQ4_spl
| ~ sQ108_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f4396]) ).
fof(f4399,plain,
( sQ75_spl
| ~ sQ1_spl
| e3 != op(op(op(e0,e0),e0),e1) ),
inference(backward_demodulation,[status(thm)],[f523,f810]) ).
fof(f4413,plain,
( ~ sQ43_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f3485,f632,f658]) ).
fof(f4414,plain,
( ~ sQ52_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f4239,f701,f688]) ).
fof(f4418,plain,
( ~ sQ41_spl
| ~ sQ43_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f659,f653]) ).
fof(f4419,plain,
( ~ sQ41_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4418,f130]) ).
fof(f4420,plain,
( ~ sQ41_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f4419]) ).
fof(f4423,plain,
( ~ sQ31_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f2856,f671,f619]) ).
fof(f4438,plain,
( sQ110_spl
| ~ sQ14_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f4059,f554,f564,f970]) ).
fof(f4456,plain,
( ~ sQ97_spl
| ~ sQ42_spl
| op(e2,e2) = e2 ),
inference(backward_demodulation,[status(thm)],[f656,f899]) ).
fof(f4464,plain,
( sQ76_spl
| ~ sQ22_spl
| e0 != op(op(op(e1,e1),e1),e2) ),
inference(backward_demodulation,[status(thm)],[f591,f815]) ).
fof(f4474,plain,
( ~ sQ3_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f2549,f554,f528]) ).
fof(f4510,plain,
( sQ85_spl
| ~ sQ40_spl
| ~ sQ83_spl
| e1 != op(e1,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f4068,f3320]) ).
fof(f4511,plain,
( sQ85_spl
| ~ sQ40_spl
| ~ sQ83_spl
| e1 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f650,f4510]) ).
fof(f4512,plain,
( sQ85_spl
| ~ sQ40_spl
| ~ sQ83_spl
| ~ sQ17_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f575,f4511]) ).
fof(f4513,plain,
( sQ85_spl
| ~ sQ40_spl
| ~ sQ83_spl
| ~ sQ17_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4512]) ).
fof(f4514,plain,
( sQ85_spl
| ~ sQ40_spl
| ~ sQ83_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f4513]) ).
fof(f4515,plain,
( sQ93_spl
| ~ sQ61_spl
| e2 != op(op(op(e3,e3),e3),e1) ),
inference(backward_demodulation,[status(thm)],[f718,f882]) ).
fof(f4550,plain,
( ~ sQ23_spl
| e3 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f594,f111]) ).
fof(f4612,plain,
( ~ sQ65_spl
| ~ sQ48_spl
| op(e3,e0) = e0 ),
inference(backward_demodulation,[status(thm)],[f4358,f765]) ).
fof(f4642,plain,
( sQ110_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f1949,f567,f970]) ).
fof(f4643,plain,
( sQ72_spl
| ~ sQ2_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f3572,f632,f525,f796]) ).
fof(f4647,plain,
( sQ107_spl
| ~ sQ2_spl
| op(e0,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f526,f960]) ).
fof(f4665,plain,
( ~ sQ103_spl
| ~ sQ26_spl
| op(e1,e2) = e2 ),
inference(backward_demodulation,[status(thm)],[f604,f933]) ).
fof(f4685,plain,
( sQ107_spl
| ~ sQ2_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f4647,f545,f525,f958]) ).
fof(f4686,plain,
( sQ82_spl
| ~ sQ43_spl
| ~ sQ57_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f3657,f610,f704,f658,f837]) ).
fof(f4692,plain,
( ~ sQ2_spl
| e2 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f526,f103]) ).
fof(f4701,plain,
( ~ sQ26_spl
| e2 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f604,f113]) ).
fof(f4722,plain,
( ~ sQ52_spl
| ~ sQ54_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f695,f689]) ).
fof(f4723,plain,
( ~ sQ52_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4722,f127]) ).
fof(f4724,plain,
( ~ sQ52_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f4723]) ).
fof(f4732,plain,
( ~ sQ13_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f2644,f522,f561]) ).
fof(f4735,plain,
( ~ sQ6_spl
| op(e0,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f539,f102]) ).
fof(f4743,plain,
( sQ85_spl
| ~ sQ40_spl
| ~ sQ11_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f3282,f678,f554,f649,f848]) ).
fof(f4751,plain,
( sQ75_spl
| ~ sQ1_spl
| e3 != op(op(e1,e0),e1) ),
inference(backward_demodulation,[status(thm)],[f523,f4399]) ).
fof(f4755,plain,
( ~ sQ1_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f3123,f678,f522]) ).
fof(f4758,plain,
( sQ75_spl
| ~ sQ1_spl
| ~ sQ72_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f3335,f697,f796,f522,f808]) ).
fof(f4794,plain,
( ~ sQ20_spl
| e0 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f585,f111]) ).
fof(f4902,plain,
( ~ sQ6_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f4735,f525,f538]) ).
fof(f4904,plain,
( ~ sQ20_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f4794,f597,f584]) ).
fof(f4913,plain,
( ~ sQ34_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f1668,f525,f629]) ).
fof(f4916,plain,
( ~ sQ30_spl
| op(e1,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f617,f110]) ).
fof(f4930,plain,
( sQ83_spl
| ~ sQ43_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f659,f842]) ).
fof(f4969,plain,
( ~ sQ9_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f1810,f652,f548]) ).
fof(f4984,plain,
( ~ sQ53_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f3916,f717,f691]) ).
fof(f5002,plain,
( ~ sQ101_spl
| ~ sQ17_spl
| op(e1,e1) = e0 ),
inference(forward_demodulation,[status(thm)],[f575,f925]) ).
fof(f5003,plain,
( ~ sQ101_spl
| ~ sQ17_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5002,f1405]) ).
fof(f5004,plain,
( ~ sQ101_spl
| ~ sQ17_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f5003]) ).
fof(f5022,plain,
( sQ88_spl
| ~ sQ62_spl
| e0 != op(op(e2,e3),e2) ),
inference(forward_demodulation,[status(thm)],[f721,f3481]) ).
fof(f5033,plain,
( sQ88_spl
| ~ sQ62_spl
| ~ sQ45_spl
| e0 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f666,f5022]) ).
fof(f5034,plain,
( sQ91_spl
| ~ sQ62_spl
| ~ sQ45_spl
| e1 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f666,f2608]) ).
fof(f5052,plain,
( ~ sQ35_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f2972,f684,f632]) ).
fof(f5062,plain,
( sQ76_spl
| ~ sQ23_spl
| e0 != op(op(op(e1,e1),e1),e3) ),
inference(backward_demodulation,[status(thm)],[f594,f815]) ).
fof(f5066,plain,
( ~ sQ23_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f4550,f606,f593]) ).
fof(f5190,plain,
( sQ76_spl
| ~ sQ22_spl
| e0 != op(op(e2,e1),e2) ),
inference(backward_demodulation,[status(thm)],[f591,f4464]) ).
fof(f5237,plain,
( ~ sQ4_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f1814,f558,f532]) ).
fof(f5264,plain,
( ~ sQ60_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f3928,f558,f714]) ).
fof(f5265,plain,
( sQ93_spl
| ~ sQ60_spl
| ~ sQ14_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f4049,f629,f564,f714,f880]) ).
fof(f5369,plain,
( sQ67_spl
| ~ sQ58_spl
| op(e3,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f708,f774]) ).
fof(f5377,plain,
( sQ107_spl
| ~ sQ3_spl
| op(e0,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f529,f960]) ).
fof(f5379,plain,
( sQ109_spl
| ~ sQ9_spl
| op(e0,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f549,f968]) ).
fof(f5385,plain,
( ~ sQ12_spl
| ~ sQ14_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f565,f559]) ).
fof(f5386,plain,
( ~ sQ12_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5385,f127]) ).
fof(f5387,plain,
( ~ sQ12_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f5386]) ).
fof(f5391,plain,
( sQ70_spl
| ~ sQ3_spl
| e1 != op(op(e3,e0),op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f529,f791]) ).
fof(f5392,plain,
( sQ70_spl
| ~ sQ3_spl
| e1 != op(op(e3,e0),e3) ),
inference(forward_demodulation,[status(thm)],[f529,f5391]) ).
fof(f5393,plain,
( sQ73_spl
| ~ sQ3_spl
| e2 != op(op(e3,e0),op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f529,f802]) ).
fof(f5394,plain,
( sQ73_spl
| ~ sQ3_spl
| e2 != op(op(e3,e0),e3) ),
inference(forward_demodulation,[status(thm)],[f529,f5393]) ).
fof(f5407,plain,
( sQ90_spl
| ~ sQ61_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f4303,f616,f717,f868]) ).
fof(f5436,plain,
( sQ76_spl
| ~ sQ23_spl
| e0 != op(op(e3,e1),e3) ),
inference(backward_demodulation,[status(thm)],[f594,f5062]) ).
fof(f5460,plain,
( sQ107_spl
| ~ sQ3_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f5377,f558,f528,f958]) ).
fof(f5475,plain,
( sQ109_spl
| ~ sQ9_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f5379,f538,f548,f966]) ).
fof(f5528,plain,
( ~ sQ17_spl
| e1 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f575,f82]) ).
fof(f5531,plain,
( ~ sQ85_spl
| ~ sQ97_spl
| ~ sQ42_spl
| e1 = op(op(e2,e2),op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f4456,f849]) ).
fof(f5532,plain,
( ~ sQ85_spl
| ~ sQ97_spl
| ~ sQ42_spl
| e1 = op(e2,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f4456,f5531]) ).
fof(f5533,plain,
( ~ sQ85_spl
| ~ sQ97_spl
| ~ sQ42_spl
| e1 = op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f4456,f5532]) ).
fof(f5534,plain,
( ~ sQ85_spl
| ~ sQ97_spl
| ~ sQ42_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f4456,f5533]) ).
fof(f5535,plain,
( ~ sQ85_spl
| ~ sQ97_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5534,f129]) ).
fof(f5536,plain,
( ~ sQ85_spl
| ~ sQ97_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f5535]) ).
fof(f5565,plain,
( sQ104_spl
| ~ sQ30_spl
| op(e1,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f617,f938]) ).
fof(f5579,plain,
( sQ77_spl
| ~ sQ23_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f2222,f694,f593,f816]) ).
fof(f5587,plain,
( sQ88_spl
| ~ sQ61_spl
| e0 != op(op(e1,e3),e1) ),
inference(forward_demodulation,[status(thm)],[f718,f3405]) ).
fof(f5638,plain,
( sQ70_spl
| ~ sQ2_spl
| e1 != op(op(e2,e0),op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f526,f791]) ).
fof(f5639,plain,
( sQ70_spl
| ~ sQ2_spl
| ~ sQ35_spl
| e1 != op(e3,op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f633,f5638]) ).
fof(f5640,plain,
( sQ70_spl
| ~ sQ2_spl
| ~ sQ35_spl
| e1 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f526,f5639]) ).
fof(f5697,plain,
( sQ70_spl
| ~ sQ72_spl
| ~ sQ2_spl
| e1 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f526,f1850]) ).
fof(f5729,plain,
( sQ76_spl
| ~ sQ23_spl
| ~ sQ54_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f695,f5436]) ).
fof(f5730,plain,
( sQ76_spl
| ~ sQ23_spl
| ~ sQ54_spl
| ~ sQ44_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f663,f5729]) ).
fof(f5731,plain,
( sQ76_spl
| ~ sQ23_spl
| ~ sQ54_spl
| ~ sQ44_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5730]) ).
fof(f5732,plain,
( sQ76_spl
| ~ sQ23_spl
| ~ sQ54_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f5731]) ).
fof(f5760,plain,
( sQ83_spl
| ~ sQ43_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f4930,f704,f658,f840]) ).
fof(f5865,plain,
( ~ sQ36_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f2640,f584,f636]) ).
fof(f5876,plain,
( ~ sQ103_spl
| ~ sQ26_spl
| e2 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f4665,f94]) ).
fof(f5887,plain,
( ~ sQ89_spl
| ~ sQ62_spl
| e1 = op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f721,f865]) ).
fof(f5889,plain,
( sQ91_spl
| ~ sQ62_spl
| e1 != op(op(e2,e3),op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f721,f874]) ).
fof(f5962,plain,
( ~ sQ12_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1471,f545,f558]) ).
fof(f5990,plain,
( ~ sQ108_spl
| ~ sQ5_spl
| ~ sQ6_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f539,f2387]) ).
fof(f5991,plain,
( ~ sQ108_spl
| ~ sQ5_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5990,f129]) ).
fof(f5992,plain,
( ~ sQ108_spl
| ~ sQ5_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f5991]) ).
fof(f5995,plain,
( ~ sQ17_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f5528,f678,f574]) ).
fof(f6006,plain,
( ~ sQ103_spl
| ~ sQ26_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f5876,f707,f603,f932]) ).
fof(f6036,plain,
( ~ sQ26_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f4701,f616,f603]) ).
fof(f6041,plain,
( ~ sQ23_spl
| ~ sQ20_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f585,f594]) ).
fof(f6042,plain,
( ~ sQ23_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6041,f128]) ).
fof(f6043,plain,
( ~ sQ23_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f6042]) ).
fof(f6093,plain,
( ~ sQ58_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f1266,f681,f707]) ).
fof(f6101,plain,
( ~ sQ7_spl
| e3 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f542,f86]) ).
fof(f6105,plain,
( ~ sQ7_spl
| e3 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f542,f106]) ).
fof(f6107,plain,
( sQ87_spl
| ~ sQ40_spl
| e3 != op(op(e0,e2),op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f650,f858]) ).
fof(f6123,plain,
( sQ93_spl
| ~ sQ61_spl
| e2 != op(op(e1,e3),e1) ),
inference(forward_demodulation,[status(thm)],[f718,f4515]) ).
fof(f6152,plain,
( sQ80_spl
| ~ sQ22_spl
| e0 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f591,f829]) ).
fof(f6153,plain,
( sQ76_spl
| ~ sQ22_spl
| e0 != op(op(op(e1,e1),e1),e2) ),
inference(backward_demodulation,[status(thm)],[f591,f815]) ).
fof(f6179,plain,
( ~ sQ14_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f3310,f668,f564]) ).
fof(f6229,plain,
( ~ sQ63_spl
| ~ sQ61_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f718,f724]) ).
fof(f6230,plain,
( ~ sQ63_spl
| ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6229,f130]) ).
fof(f6231,plain,
( ~ sQ63_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f6230]) ).
fof(f6244,plain,
( sQ91_spl
| ~ sQ62_spl
| e1 != op(op(e2,e3),e2) ),
inference(forward_demodulation,[status(thm)],[f721,f5889]) ).
fof(f6254,plain,
( ~ sQ43_spl
| op(e1,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f659,f93]) ).
fof(f6262,plain,
( sQ78_spl
| ~ sQ20_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f1484,f541,f584,f820]) ).
fof(f6359,plain,
( sQ91_spl
| ~ sQ62_spl
| ~ sQ44_spl
| e1 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f663,f6244]) ).
fof(f6405,plain,
( sQ85_spl
| ~ sQ43_spl
| e1 != op(op(e3,e2),op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f659,f850]) ).
fof(f6406,plain,
( sQ85_spl
| ~ sQ43_spl
| ~ sQ56_spl
| e1 != op(e0,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f702,f6405]) ).
fof(f6407,plain,
( sQ85_spl
| ~ sQ43_spl
| ~ sQ56_spl
| e1 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f659,f6406]) ).
fof(f6408,plain,
( sQ85_spl
| ~ sQ43_spl
| ~ sQ56_spl
| ~ sQ13_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f562,f6407]) ).
fof(f6409,plain,
( sQ85_spl
| ~ sQ43_spl
| ~ sQ56_spl
| ~ sQ13_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6408]) ).
fof(f6410,plain,
( sQ85_spl
| ~ sQ43_spl
| ~ sQ56_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f6409]) ).
fof(f6467,plain,
( ~ sQ78_spl
| ~ sQ20_spl
| e3 = op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f585,f821]) ).
fof(f6494,plain,
( sQ86_spl
| ~ sQ43_spl
| e0 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f659,f853]) ).
fof(f6495,plain,
( sQ86_spl
| ~ sQ43_spl
| ~ sQ56_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f702,f6494]) ).
fof(f6496,plain,
( sQ86_spl
| ~ sQ43_spl
| ~ sQ56_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6495]) ).
fof(f6497,plain,
( sQ86_spl
| ~ sQ43_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f6496]) ).
fof(f6526,plain,
( ~ sQ43_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f6254,f606,f658]) ).
fof(f6527,plain,
( ~ sQ18_spl
| e2 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f578,f109]) ).
fof(f6538,plain,
( ~ sQ9_spl
| ~ sQ10_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f552,f549]) ).
fof(f6539,plain,
( ~ sQ9_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6538,f129]) ).
fof(f6540,plain,
( ~ sQ9_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f6539]) ).
fof(f6547,plain,
( sQ82_spl
| ~ sQ41_spl
| ~ sQ27_spl
| e0 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f607,f2934]) ).
fof(f6569,plain,
( sQ89_spl
| ~ sQ60_spl
| e1 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f715,f866]) ).
fof(f6649,plain,
( sQ67_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f5369,f707,f772]) ).
fof(f6664,plain,
( sQ73_spl
| ~ sQ3_spl
| ~ sQ49_spl
| e2 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f679,f5394]) ).
fof(f6757,plain,
( sQ88_spl
| ~ sQ61_spl
| ~ sQ30_spl
| e0 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f617,f5587]) ).
fof(f6758,plain,
( sQ88_spl
| ~ sQ61_spl
| ~ sQ30_spl
| ~ sQ36_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f637,f6757]) ).
fof(f6759,plain,
( sQ88_spl
| ~ sQ61_spl
| ~ sQ30_spl
| ~ sQ36_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6758]) ).
fof(f6760,plain,
( sQ88_spl
| ~ sQ61_spl
| ~ sQ30_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f6759]) ).
fof(f6780,plain,
( sQ88_spl
| ~ sQ61_spl
| e0 != op(op(e1,e3),op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f718,f863]) ).
fof(f6781,plain,
( sQ88_spl
| ~ sQ61_spl
| e0 != op(op(e1,e3),e1) ),
inference(forward_demodulation,[status(thm)],[f718,f6780]) ).
fof(f6798,plain,
( sQ87_spl
| ~ sQ40_spl
| ~ sQ83_spl
| e3 != op(e1,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f4068,f6107]) ).
fof(f6799,plain,
( sQ87_spl
| ~ sQ40_spl
| ~ sQ83_spl
| e3 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f650,f6798]) ).
fof(f6899,plain,
( ~ sQ46_spl
| op(e1,e3) != e2 ),
inference(forward_demodulation,[status(thm)],[f669,f99]) ).
fof(f6908,plain,
( sQ88_spl
| ~ sQ61_spl
| ~ sQ28_spl
| e0 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f611,f6781]) ).
fof(f6914,plain,
( sQ93_spl
| ~ sQ61_spl
| ~ sQ28_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f4203,f538,f610,f717,f880]) ).
fof(f7047,plain,
( sQ88_spl
| ~ sQ61_spl
| ~ sQ28_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f6908,f532,f610,f717,f861]) ).
fof(f7056,plain,
( sQ87_spl
| ~ sQ40_spl
| ~ sQ83_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f6799,f580,f840,f649,f856]) ).
fof(f7070,plain,
( ~ sQ54_spl
| op(e0,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f695,f86]) ).
fof(f7092,plain,
( sQ75_spl
| ~ sQ2_spl
| ~ sQ74_spl
| e3 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f3699,f2150]) ).
fof(f7183,plain,
( ~ sQ81_spl
| ~ sQ20_spl
| ~ sQ108_spl
| ~ sQ5_spl
| e3 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f3670,f109]) ).
fof(f7192,plain,
( ~ sQ46_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f6899,f616,f668]) ).
fof(f7195,plain,
( ~ sQ12_spl
| ~ sQ15_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f568,f559]) ).
fof(f7196,plain,
( ~ sQ12_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7195,f128]) ).
fof(f7197,plain,
( ~ sQ12_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f7196]) ).
fof(f7250,plain,
( ~ sQ28_spl
| e0 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f611,f100]) ).
fof(f7297,plain,
( sQ67_spl
| ~ sQ57_spl
| op(e3,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f705,f774]) ).
fof(f7320,plain,
( sQ68_spl
| ~ sQ63_spl
| op(e3,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f724,f778]) ).
fof(f7321,plain,
( ~ sQ63_spl
| op(e3,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f724,f122]) ).
fof(f7398,plain,
( sQ65_spl
| ~ sQ50_spl
| op(e3,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f682,f766]) ).
fof(f7432,plain,
( sQ68_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f7320,f723,f776]) ).
fof(f7460,plain,
( ~ sQ2_spl
| ~ sQ0_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f520,f526]) ).
fof(f7461,plain,
( ~ sQ2_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7460,f127]) ).
fof(f7462,plain,
( ~ sQ2_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f7461]) ).
fof(f7473,plain,
( sQ68_spl
| ~ sQ61_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f3750,f697,f717,f776]) ).
fof(f7491,plain,
( sQ76_spl
| ~ sQ22_spl
| e0 != op(op(e2,e1),e2) ),
inference(backward_demodulation,[status(thm)],[f591,f6153]) ).
fof(f7578,plain,
( sQ70_spl
| ~ sQ3_spl
| e1 != op(op(op(e0,e0),e0),e3) ),
inference(backward_demodulation,[status(thm)],[f529,f791]) ).
fof(f7612,plain,
( sQ66_spl
| ~ sQ55_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f1557,f717,f697,f768]) ).
fof(f7650,plain,
( sQ67_spl
| ~ sQ56_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f2346,f681,f701,f772]) ).
fof(f7680,plain,
( sQ70_spl
| ~ sQ3_spl
| ~ sQ50_spl
| e1 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f682,f5392]) ).
fof(f7686,plain,
( sQ65_spl
| ~ sQ50_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f7398,f701,f681,f764]) ).
fof(f7721,plain,
( sQ70_spl
| ~ sQ3_spl
| e1 != op(op(e3,e0),e3) ),
inference(forward_demodulation,[status(thm)],[f529,f7578]) ).
fof(f7724,plain,
( sQ70_spl
| ~ sQ3_spl
| ~ sQ50_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f7680,f665,f681,f528,f789]) ).
fof(f7780,plain,
( ~ sQ60_spl
| op(e2,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f715,f101]) ).
fof(f7822,plain,
( sQ76_spl
| ~ sQ22_spl
| ~ sQ39_spl
| e0 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f646,f7491]) ).
fof(f7868,plain,
( ~ sQ103_spl
| ~ sQ24_spl
| op(e1,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f598,f933]) ).
fof(f7869,plain,
( ~ sQ103_spl
| ~ sQ24_spl
| ~ sQ17_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f575,f7868]) ).
fof(f7870,plain,
( ~ sQ103_spl
| ~ sQ24_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7869,f129]) ).
fof(f7871,plain,
( ~ sQ103_spl
| ~ sQ24_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f7870]) ).
fof(f7885,plain,
( sQ71_spl
| ~ sQ3_spl
| e2 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f529,f794]) ).
fof(f7886,plain,
( sQ71_spl
| ~ sQ3_spl
| ~ sQ50_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f682,f7885]) ).
fof(f7887,plain,
( sQ71_spl
| ~ sQ3_spl
| ~ sQ50_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7886]) ).
fof(f7888,plain,
( sQ71_spl
| ~ sQ3_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f7887]) ).
fof(f7889,plain,
( ~ sQ60_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f7780,f662,f714]) ).
fof(f7954,plain,
( ~ sQ8_spl
| e0 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f546,f92]) ).
fof(f7964,plain,
( ~ sQ63_spl
| ~ sQ60_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f715,f724]) ).
fof(f7965,plain,
( ~ sQ63_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7964,f128]) ).
fof(f7966,plain,
( ~ sQ63_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f7965]) ).
fof(f7969,plain,
( sQ88_spl
| ~ sQ62_spl
| ~ sQ45_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f5033,f597,f665,f720,f861]) ).
fof(f7977,plain,
( sQ88_spl
| ~ sQ62_spl
| ~ sQ89_spl
| e0 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f5887,f5022]) ).
fof(f8010,plain,
( ~ sQ24_spl
| sQ88_spl
| ~ sQ62_spl
| ~ sQ89_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f598,f7977]) ).
fof(f8011,plain,
( ~ sQ24_spl
| sQ88_spl
| ~ sQ62_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f8010]) ).
fof(f8022,plain,
( ~ sQ7_spl
| e3 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f542,f84]) ).
fof(f8023,plain,
( ~ sQ7_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f6105,f567,f541]) ).
fof(f8025,plain,
( ~ sQ7_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f6101,f697,f541]) ).
fof(f8026,plain,
( sQ92_spl
| ~ sQ62_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f721,f877]) ).
fof(f8040,plain,
( ~ sQ102_spl
| ~ sQ20_spl
| op(e1,e0) = e1 ),
inference(backward_demodulation,[status(thm)],[f585,f929]) ).
fof(f8047,plain,
( sQ79_spl
| ~ sQ20_spl
| ~ sQ7_spl
| e2 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f542,f3663]) ).
fof(f8082,plain,
( sQ75_spl
| ~ sQ2_spl
| ~ sQ32_spl
| e3 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f624,f2150]) ).
fof(f8105,plain,
( ~ sQ8_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f7954,f701,f545]) ).
fof(f8141,plain,
( ~ sQ9_spl
| ~ sQ8_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f546,f549]) ).
fof(f8142,plain,
( ~ sQ9_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8141,f126]) ).
fof(f8143,plain,
( ~ sQ9_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f8142]) ).
fof(f8148,plain,
( ~ sQ7_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f8022,f593,f541]) ).
fof(f8183,plain,
( ~ sQ66_spl
| ~ sQ52_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f3415,f678,f688,f768]) ).
fof(f8218,plain,
( ~ sQ63_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f7321,f684,f723]) ).
fof(f8230,plain,
( ~ sQ1_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f3126,f574,f522]) ).
fof(f8256,plain,
( ~ sQ40_spl
| op(e2,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f650,f115]) ).
fof(f8290,plain,
( sQ70_spl
| ~ sQ2_spl
| ~ sQ35_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f5640,f704,f632,f525,f789]) ).
fof(f8293,plain,
( sQ70_spl
| ~ sQ72_spl
| ~ sQ2_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f5697,f704,f525,f796,f789]) ).
fof(f8310,plain,
( ~ sQ28_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f7250,f714,f610]) ).
fof(f8369,plain,
( ~ sQ40_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f8256,f623,f649]) ).
fof(f8427,plain,
( sQ91_spl
| ~ sQ60_spl
| e1 != op(op(op(e3,e3),e3),e0) ),
inference(backward_demodulation,[status(thm)],[f715,f874]) ).
fof(f8428,plain,
( sQ93_spl
| ~ sQ60_spl
| e2 != op(op(op(e3,e3),e3),e0) ),
inference(backward_demodulation,[status(thm)],[f715,f882]) ).
fof(f8493,plain,
( sQ73_spl
| ~ sQ3_spl
| ~ sQ49_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f6664,f616,f678,f528,f800]) ).
fof(f8601,plain,
( sQ91_spl
| ~ sQ60_spl
| e1 != op(op(e0,e3),e0) ),
inference(forward_demodulation,[status(thm)],[f715,f8427]) ).
fof(f8604,plain,
( sQ93_spl
| ~ sQ60_spl
| e2 != op(op(e0,e3),e0) ),
inference(forward_demodulation,[status(thm)],[f715,f8428]) ).
fof(f8636,plain,
( sQ74_spl
| ~ sQ3_spl
| e1 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f529,f805]) ).
fof(f8637,plain,
( sQ74_spl
| ~ sQ3_spl
| ~ sQ49_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f679,f8636]) ).
fof(f8638,plain,
( sQ74_spl
| ~ sQ3_spl
| ~ sQ49_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8637]) ).
fof(f8639,plain,
( sQ74_spl
| ~ sQ3_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f8638]) ).
fof(f8644,plain,
( sQ92_spl
| ~ sQ62_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f8026,f662,f720,f875]) ).
fof(f8651,plain,
( ~ sQ78_spl
| ~ sQ20_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f6467,f541,f584,f820]) ).
fof(f8653,plain,
( ~ sQ81_spl
| ~ sQ20_spl
| ~ sQ108_spl
| ~ sQ5_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f7183,f606,f535,f962,f584,f832]) ).
fof(f8668,plain,
( ~ sQ22_spl
| ~ sQ20_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f585,f591]) ).
fof(f8669,plain,
( ~ sQ22_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8668,f127]) ).
fof(f8670,plain,
( ~ sQ22_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f8669]) ).
fof(f8671,plain,
( sQ76_spl
| ~ sQ22_spl
| ~ sQ39_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f7822,f701,f645,f590,f813]) ).
fof(f8674,plain,
( sQ76_spl
| ~ sQ22_spl
| ~ sQ78_spl
| e0 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f3859,f7491]) ).
fof(f8694,plain,
( ~ sQ56_spl
| sQ76_spl
| ~ sQ22_spl
| ~ sQ78_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f702,f8674]) ).
fof(f8695,plain,
( ~ sQ56_spl
| sQ76_spl
| ~ sQ22_spl
| ~ sQ78_spl ),
inference(contradiction_clause,[status(thm)],[f8694]) ).
fof(f8711,plain,
( sQ87_spl
| ~ sQ41_spl
| e3 != op(op(e1,e2),op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f653,f858]) ).
fof(f8712,plain,
( sQ87_spl
| ~ sQ41_spl
| e3 != op(op(e1,e2),e1) ),
inference(forward_demodulation,[status(thm)],[f653,f8711]) ).
fof(f8713,plain,
( sQ87_spl
| ~ sQ41_spl
| ~ sQ24_spl
| e3 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f598,f8712]) ).
fof(f8772,plain,
( sQ91_spl
| ~ sQ60_spl
| ~ sQ14_spl
| e1 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f565,f8601]) ).
fof(f8863,plain,
( ~ sQ49_spl
| op(e2,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f679,f83]) ).
fof(f8933,plain,
( sQ80_spl
| ~ sQ22_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f6152,f636,f590,f827]) ).
fof(f8993,plain,
( ~ sQ80_spl
| ~ sQ22_spl
| e0 = op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f591,f828]) ).
fof(f8994,plain,
( sQ81_spl
| ~ sQ22_spl
| e3 != op(op(e2,e1),op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f591,f834]) ).
fof(f8995,plain,
( sQ81_spl
| ~ sQ22_spl
| ~ sQ36_spl
| e3 != op(e0,op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f637,f8994]) ).
fof(f8996,plain,
( sQ81_spl
| ~ sQ22_spl
| ~ sQ36_spl
| e3 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f591,f8995]) ).
fof(f8997,plain,
( sQ81_spl
| ~ sQ22_spl
| ~ sQ36_spl
| ~ sQ11_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f555,f8996]) ).
fof(f8998,plain,
( sQ81_spl
| ~ sQ22_spl
| ~ sQ36_spl
| ~ sQ11_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8997]) ).
fof(f8999,plain,
( sQ81_spl
| ~ sQ22_spl
| ~ sQ36_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f8998]) ).
fof(f9000,plain,
( sQ82_spl
| ~ sQ41_spl
| ~ sQ27_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f6547,f688,f606,f652,f837]) ).
fof(f9056,plain,
( sQ70_spl
| ~ sQ3_spl
| ~ sQ49_spl
| e1 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f679,f7721]) ).
fof(f9057,plain,
( sQ70_spl
| ~ sQ3_spl
| ~ sQ49_spl
| ~ sQ29_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f614,f9056]) ).
fof(f9058,plain,
( sQ70_spl
| ~ sQ3_spl
| ~ sQ49_spl
| ~ sQ29_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9057]) ).
fof(f9059,plain,
( sQ70_spl
| ~ sQ3_spl
| ~ sQ49_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f9058]) ).
fof(f9192,plain,
( ~ sQ102_spl
| ~ sQ22_spl
| op(e1,e2) = e1 ),
inference(forward_demodulation,[status(thm)],[f591,f929]) ).
fof(f9193,plain,
( ~ sQ102_spl
| ~ sQ22_spl
| ~ sQ27_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f607,f9192]) ).
fof(f9194,plain,
( ~ sQ102_spl
| ~ sQ22_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9193,f130]) ).
fof(f9195,plain,
( ~ sQ102_spl
| ~ sQ22_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f9194]) ).
fof(f9202,plain,
( ~ sQ74_spl
| ~ sQ3_spl
| e1 = op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f529,f804]) ).
fof(f9218,plain,
( sQ84_spl
| ~ sQ41_spl
| e3 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f653,f846]) ).
fof(f9219,plain,
( sQ84_spl
| ~ sQ41_spl
| ~ sQ27_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f607,f9218]) ).
fof(f9220,plain,
( sQ84_spl
| ~ sQ41_spl
| ~ sQ27_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9219]) ).
fof(f9221,plain,
( sQ84_spl
| ~ sQ41_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f9220]) ).
fof(f9280,plain,
( sQ87_spl
| ~ sQ41_spl
| ~ sQ24_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f8713,f541,f597,f652,f856]) ).
fof(f9393,plain,
( sQ93_spl
| ~ sQ60_spl
| ~ sQ13_spl
| e2 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f562,f8604]) ).
fof(f9440,plain,
( sQ75_spl
| ~ sQ2_spl
| ~ sQ32_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f8082,f554,f623,f525,f808]) ).
fof(f9471,plain,
( sQ67_spl
| ~ sQ57_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f7297,f694,f704,f772]) ).
fof(f9514,plain,
( sQ66_spl
| ~ sQ54_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f2331,f704,f694,f768]) ).
fof(f9536,plain,
( sQ65_spl
| ~ sQ51_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f2401,f714,f684,f764]) ).
fof(f9628,plain,
( sQ68_spl
| ~ sQ60_spl
| op(e3,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f715,f778]) ).
fof(f9629,plain,
( sQ68_spl
| ~ sQ60_spl
| ~ sQ51_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f685,f9628]) ).
fof(f9630,plain,
( sQ68_spl
| ~ sQ60_spl
| ~ sQ51_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9629]) ).
fof(f9631,plain,
( sQ68_spl
| ~ sQ60_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f9630]) ).
fof(f9637,plain,
( sQ93_spl
| ~ sQ61_spl
| ~ sQ30_spl
| e2 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f617,f6123]) ).
fof(f9807,plain,
( ~ sQ38_spl
| sQ93_spl
| ~ sQ61_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f643,f9637]) ).
fof(f9808,plain,
( ~ sQ38_spl
| sQ93_spl
| ~ sQ61_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f9807]) ).
fof(f9829,plain,
( sQ75_spl
| ~ sQ2_spl
| ~ sQ33_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f4107,f606,f626,f525,f808]) ).
fof(f9849,plain,
( sQ75_spl
| ~ sQ2_spl
| ~ sQ74_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f7092,f606,f803,f525,f808]) ).
fof(f9877,plain,
( ~ sQ2_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f4692,f551,f525]) ).
fof(f9889,plain,
( sQ93_spl
| ~ sQ60_spl
| ~ sQ13_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f9393,f577,f561,f714,f880]) ).
fof(f9899,plain,
( ~ sQ41_spl
| op(e2,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f653,f115]) ).
fof(f9915,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f526,f529]) ).
fof(f9916,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9915,f131]) ).
fof(f9917,plain,
( ~ sQ3_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f9916]) ).
fof(f9934,plain,
( ~ sQ54_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f7070,f538,f694]) ).
fof(f10018,plain,
( ~ sQ49_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f8863,f626,f678]) ).
fof(f10046,plain,
( ~ sQ18_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f6527,f603,f577]) ).
fof(f10068,plain,
( ~ sQ41_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f9899,f626,f652]) ).
fof(f10130,plain,
( ~ sQ36_spl
| ~ sQ39_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f646,f637]) ).
fof(f10131,plain,
( ~ sQ36_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10130,f128]) ).
fof(f10132,plain,
( ~ sQ36_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f10131]) ).
fof(f10140,plain,
( sQ91_spl
| ~ sQ62_spl
| ~ sQ44_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f6359,f548,f662,f720,f872]) ).
fof(f10145,plain,
( ~ sQ102_spl
| ~ sQ20_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f8040,f574,f584,f928]) ).
fof(f10408,plain,
( ~ sQ102_spl
| ~ sQ20_spl
| op(e1,e0) = e1 ),
inference(forward_demodulation,[status(thm)],[f585,f929]) ).
fof(f10409,plain,
( ~ sQ102_spl
| ~ sQ20_spl
| ~ sQ19_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f581,f10408]) ).
fof(f10410,plain,
( ~ sQ102_spl
| ~ sQ20_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10409,f130]) ).
fof(f10411,plain,
( ~ sQ102_spl
| ~ sQ20_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f10410]) ).
fof(f10428,plain,
( sQ76_spl
| ~ sQ22_spl
| ~ sQ80_spl
| e0 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f8993,f5190]) ).
fof(f10454,plain,
( sQ91_spl
| ~ sQ60_spl
| ~ sQ14_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f8772,f626,f564,f714,f872]) ).
fof(f10513,plain,
( ~ sQ8_spl
| sQ76_spl
| ~ sQ22_spl
| ~ sQ80_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f546,f10428]) ).
fof(f10514,plain,
( ~ sQ8_spl
| sQ76_spl
| ~ sQ22_spl
| ~ sQ80_spl ),
inference(contradiction_clause,[status(thm)],[f10513]) ).
fof(f10715,plain,
( sQ90_spl
| ~ sQ60_spl
| e2 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f715,f870]) ).
fof(f10716,plain,
( sQ90_spl
| ~ sQ60_spl
| ~ sQ14_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f565,f10715]) ).
fof(f10717,plain,
( sQ90_spl
| ~ sQ60_spl
| ~ sQ14_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f10716]) ).
fof(f10718,plain,
( sQ90_spl
| ~ sQ60_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f10717]) ).
fof(f10720,plain,
( ~ sQ62_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f3475,f681,f720]) ).
fof(f10736,plain,
( ~ sQ42_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2304,f551,f655]) ).
fof(f10898,plain,
( sQ103_spl
| ~ sQ27_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f4071,f616,f606,f932]) ).
fof(f10938,plain,
( ~ sQ30_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f4916,f577,f616]) ).
fof(f10948,plain,
( sQ104_spl
| ~ sQ30_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f5565,f606,f616,f936]) ).
fof(f10972,plain,
( ~ sQ25_spl
| ~ sQ27_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f607,f601]) ).
fof(f10973,plain,
( ~ sQ25_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10972,f130]) ).
fof(f10974,plain,
( ~ sQ25_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f10973]) ).
fof(f10996,plain,
( sQ89_spl
| ~ sQ60_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f6569,f561,f714,f864]) ).
fof(f11242,plain,
( sQ91_spl
| ~ sQ62_spl
| ~ sQ45_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f5034,f600,f665,f720,f872]) ).
fof(f11299,plain,
( sQ75_spl
| ~ sQ1_spl
| ~ sQ18_spl
| e3 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f578,f4751]) ).
fof(f11300,plain,
( sQ75_spl
| ~ sQ1_spl
| ~ sQ18_spl
| ~ sQ39_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f646,f11299]) ).
fof(f11301,plain,
( sQ75_spl
| ~ sQ1_spl
| ~ sQ18_spl
| ~ sQ39_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f11300]) ).
fof(f11302,plain,
( sQ75_spl
| ~ sQ1_spl
| ~ sQ18_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f11301]) ).
fof(f11357,plain,
( sQ81_spl
| ~ sQ20_spl
| e3 != op(op(e0,e1),op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f585,f834]) ).
fof(f11358,plain,
( sQ81_spl
| ~ sQ20_spl
| e3 != op(op(e0,e1),e0) ),
inference(forward_demodulation,[status(thm)],[f585,f11357]) ).
fof(f11479,plain,
( sQ79_spl
| ~ sQ20_spl
| ~ sQ7_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f8047,f681,f541,f584,f824]) ).
fof(f11734,plain,
( sQ81_spl
| ~ sQ20_spl
| ~ sQ6_spl
| e3 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f539,f11358]) ).
fof(f11735,plain,
( sQ81_spl
| ~ sQ20_spl
| ~ sQ6_spl
| ~ sQ35_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f633,f11734]) ).
fof(f11736,plain,
( sQ81_spl
| ~ sQ20_spl
| ~ sQ6_spl
| ~ sQ35_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f11735]) ).
fof(f11737,plain,
( sQ81_spl
| ~ sQ20_spl
| ~ sQ6_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f11736]) ).
fof(f11751,plain,
( ~ sQ18_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f2275,f629,f577]) ).
fof(f11834,plain,
( ~ sQ74_spl
| ~ sQ3_spl
| ~ sQ65_spl
| ~ sQ48_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f4612,f9202]) ).
fof(f11835,plain,
( ~ sQ74_spl
| ~ sQ3_spl
| ~ sQ65_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11834,f126]) ).
fof(f11836,plain,
( ~ sQ74_spl
| ~ sQ3_spl
| ~ sQ65_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f11835]) ).
fof(f11837,plain,
$false,
inference(sat_refutation,[status(thm)],[f531,f544,f557,f570,f583,f596,f609,f622,f635,f648,f661,f674,f687,f700,f713,f726,f727,f728,f729,f730,f731,f732,f733,f734,f735,f736,f737,f738,f739,f740,f741,f742,f743,f744,f745,f746,f747,f748,f749,f750,f751,f752,f753,f754,f755,f756,f757,f758,f762,f763,f767,f771,f775,f779,f783,f784,f785,f786,f787,f795,f799,f806,f807,f811,f812,f819,f823,f830,f831,f835,f836,f843,f847,f854,f855,f859,f860,f867,f871,f878,f879,f883,f884,f888,f889,f893,f897,f901,f905,f906,f911,f912,f913,f914,f915,f916,f917,f922,f923,f927,f931,f935,f939,f940,f945,f946,f947,f948,f949,f950,f951,f956,f957,f961,f965,f969,f973,f974,f979,f980,f981,f982,f983,f984,f985,f990,f991,f992,f993,f994,f995,f996,f1001,f1002,f1003,f1004,f1005,f1006,f1007,f1012,f1013,f1014,f1015,f1017,f1018,f1023,f1024,f1029,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1041,f1045,f1046,f1047,f1048,f1049,f1050,f1051,f1052,f1056,f1057,f1058,f1059,f1060,f1061,f1062,f1067,f1068,f1069,f1070,f1071,f1072,f1073,f1078,f1079,f1080,f1081,f1082,f1083,f1084,f1089,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f1100,f1101,f1102,f1103,f1104,f1105,f1106,f1107,f1111,f1112,f1113,f1114,f1115,f1116,f1117,f1118,f1122,f1123,f1124,f1126,f1127,f1128,f1133,f1134,f1135,f1137,f1138,f1139,f1144,f1145,f1146,f1147,f1148,f1149,f1150,f1151,f1155,f1156,f1157,f1158,f1159,f1160,f1161,f1162,f1166,f1167,f1168,f1169,f1170,f1171,f1172,f1173,f1177,f1178,f1179,f1180,f1181,f1182,f1183,f1184,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1206,f1210,f1211,f1212,f1213,f1214,f1215,f1216,f1217,f1221,f1222,f1223,f1224,f1225,f1226,f1227,f1228,f1229,f1230,f1231,f1232,f1233,f1234,f1236,f1237,f1238,f1239,f1240,f1241,f1260,f1263,f1281,f1284,f1287,f1290,f1307,f1310,f1313,f1316,f1323,f1326,f1341,f1344,f1347,f1350,f1359,f1362,f1365,f1370,f1374,f1398,f1413,f1421,f1424,f1429,f1467,f1470,f1495,f1499,f1502,f1509,f1510,f1530,f1531,f1534,f1546,f1560,f1561,f1569,f1573,f1589,f1598,f1605,f1620,f1621,f1622,f1633,f1634,f1635,f1662,f1663,f1669,f1683,f1692,f1698,f1699,f1700,f1716,f1729,f1734,f1744,f1750,f1752,f1778,f1796,f1805,f1806,f1811,f1812,f1823,f1826,f1827,f1828,f1842,f1844,f1855,f1876,f1883,f1892,f1903,f1904,f1917,f1929,f1945,f1955,f1968,f1970,f1981,f1982,f1984,f2004,f2005,f2022,f2040,f2087,f2104,f2113,f2118,f2162,f2163,f2165,f2166,f2172,f2175,f2179,f2180,f2185,f2192,f2203,f2248,f2270,f2271,f2274,f2284,f2297,f2444,f2446,f2452,f2466,f2485,f2495,f2512,f2516,f2521,f2522,f2528,f2555,f2564,f2566,f2574,f2575,f2576,f2577,f2586,f2621,f2632,f2635,f2656,f2661,f2662,f2677,f2685,f2689,f2690,f2695,f2755,f2766,f2770,f2775,f2777,f2808,f2817,f2853,f2872,f2890,f2924,f2933,f2983,f3015,f3021,f3033,f3119,f3178,f3179,f3221,f3256,f3273,f3281,f3288,f3289,f3316,f3331,f3361,f3383,f3384,f3385,f3393,f3394,f3402,f3441,f3511,f3582,f3689,f3708,f3715,f3721,f3733,f3795,f3821,f3826,f3832,f3857,f3868,f3871,f3922,f4102,f4104,f4105,f4106,f4115,f4134,f4229,f4392,f4393,f4397,f4413,f4414,f4420,f4423,f4438,f4474,f4514,f4642,f4643,f4685,f4686,f4724,f4732,f4743,f4755,f4758,f4902,f4904,f4913,f4969,f4984,f5004,f5052,f5066,f5237,f5264,f5265,f5387,f5407,f5460,f5475,f5536,f5579,f5732,f5760,f5865,f5962,f5992,f5995,f6006,f6036,f6043,f6093,f6179,f6231,f6262,f6410,f6497,f6526,f6540,f6649,f6760,f6914,f7047,f7056,f7192,f7197,f7432,f7462,f7473,f7612,f7650,f7686,f7724,f7871,f7888,f7889,f7966,f7969,f8011,f8023,f8025,f8105,f8143,f8148,f8183,f8218,f8230,f8290,f8293,f8310,f8369,f8493,f8639,f8644,f8651,f8653,f8670,f8671,f8695,f8933,f8999,f9000,f9059,f9195,f9221,f9280,f9440,f9471,f9514,f9536,f9631,f9808,f9829,f9849,f9877,f9889,f9917,f9934,f10018,f10046,f10068,f10132,f10140,f10145,f10411,f10454,f10514,f10718,f10720,f10736,f10898,f10938,f10948,f10974,f10996,f11242,f11302,f11479,f11737,f11751,f11836]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG163+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.56 % Computer : n018.cluster.edu
% 0.08/0.56 % Model : x86_64 x86_64
% 0.08/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.56 % Memory : 8046.5625MB
% 0.08/0.56 % OS : Linux 6.8.0-71-generic
% 0.08/0.56 % CPULimit : 300
% 0.08/0.56 % WCLimit : 300
% 0.08/0.56 % DateTime : Mon Sep 21 13:01:29 UTC 2026
% 0.08/0.56 % CPUTime :
% 0.08/0.58 % Drodi V4.1.1
% 7.14/1.57 % Refutation found
% 7.14/1.57 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 7.14/1.57 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 7.14/1.59 % Elapsed time: 1.027723 seconds
% 7.14/1.59 % CPU time: 7.845287 seconds
% 7.14/1.59 % Total memory used: 87.507 MB
% 7.14/1.59 % Net memory used: 86.082 MB
%------------------------------------------------------------------------------