%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG192+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 11:48:51 AM UTC 2026
% Result : Unsatisfiable 1.28s 0.66s
% Output : CNFRefutation 1.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 190
% Syntax : Number of formulae : 1211 ( 131 unt; 162 def)
% Number of atoms : 3453 (1687 equ)
% Maximal formula atoms : 250 ( 2 avg)
% Number of connectives : 3882 (1640 ~;1807 |; 273 &)
% ( 162 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 164 ( 162 usr; 163 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op(e4,e4) = e4
| op(e4,e4) = e3
| op(e4,e4) = e2
| op(e4,e4) = e1
| op(e4,e4) = e0 )
& ( op(e4,e3) = e4
| op(e4,e3) = e3
| op(e4,e3) = e2
| op(e4,e3) = e1
| op(e4,e3) = e0 )
& ( op(e4,e2) = e4
| op(e4,e2) = e3
| op(e4,e2) = e2
| op(e4,e2) = e1
| op(e4,e2) = e0 )
& ( op(e4,e1) = e4
| op(e4,e1) = e3
| op(e4,e1) = e2
| op(e4,e1) = e1
| op(e4,e1) = e0 )
& ( op(e4,e0) = e4
| op(e4,e0) = e3
| op(e4,e0) = e2
| op(e4,e0) = e1
| op(e4,e0) = e0 )
& ( op(e3,e4) = e4
| op(e3,e4) = e3
| op(e3,e4) = e2
| op(e3,e4) = e1
| op(e3,e4) = e0 )
& ( op(e3,e3) = e4
| op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 )
& ( op(e3,e2) = e4
| op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 )
& ( op(e3,e1) = e4
| op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 )
& ( op(e3,e0) = e4
| op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 )
& ( op(e2,e4) = e4
| op(e2,e4) = e3
| op(e2,e4) = e2
| op(e2,e4) = e1
| op(e2,e4) = e0 )
& ( op(e2,e3) = e4
| op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 )
& ( op(e2,e2) = e4
| op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 )
& ( op(e2,e1) = e4
| op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 )
& ( op(e2,e0) = e4
| op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 )
& ( op(e1,e4) = e4
| op(e1,e4) = e3
| op(e1,e4) = e2
| op(e1,e4) = e1
| op(e1,e4) = e0 )
& ( op(e1,e3) = e4
| op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 )
& ( op(e1,e2) = e4
| op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 )
& ( op(e1,e1) = e4
| op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 )
& ( op(e1,e0) = e4
| op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 )
& ( op(e0,e4) = e4
| op(e0,e4) = e3
| op(e0,e4) = e2
| op(e0,e4) = e1
| op(e0,e4) = e0 )
& ( op(e0,e3) = e4
| op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 )
& ( op(e0,e2) = e4
| op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 )
& ( op(e0,e1) = e4
| op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 )
& ( op(e0,e0) = e4
| op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
( ( op(e4,e4) = e4
| op(e3,e4) = e4
| op(e2,e4) = e4
| op(e1,e4) = e4
| op(e0,e4) = e4 )
& ( op(e4,e4) = e4
| op(e4,e3) = e4
| op(e4,e2) = e4
| op(e4,e1) = e4
| op(e4,e0) = e4 )
& ( op(e4,e4) = e3
| op(e3,e4) = e3
| op(e2,e4) = e3
| op(e1,e4) = e3
| op(e0,e4) = e3 )
& ( op(e4,e4) = e3
| op(e4,e3) = e3
| op(e4,e2) = e3
| op(e4,e1) = e3
| op(e4,e0) = e3 )
& ( op(e4,e4) = e2
| op(e3,e4) = e2
| op(e2,e4) = e2
| op(e1,e4) = e2
| op(e0,e4) = e2 )
& ( op(e4,e4) = e2
| op(e4,e3) = e2
| op(e4,e2) = e2
| op(e4,e1) = e2
| op(e4,e0) = e2 )
& ( op(e4,e4) = e1
| op(e3,e4) = e1
| op(e2,e4) = e1
| op(e1,e4) = e1
| op(e0,e4) = e1 )
& ( op(e4,e4) = e1
| op(e4,e3) = e1
| op(e4,e2) = e1
| op(e4,e1) = e1
| op(e4,e0) = e1 )
& ( op(e4,e4) = e0
| op(e3,e4) = e0
| op(e2,e4) = e0
| op(e1,e4) = e0
| op(e0,e4) = e0 )
& ( op(e4,e4) = e0
| op(e4,e3) = e0
| op(e4,e2) = e0
| op(e4,e1) = e0
| op(e4,e0) = e0 )
& ( op(e4,e3) = e4
| op(e3,e3) = e4
| op(e2,e3) = e4
| op(e1,e3) = e4
| op(e0,e3) = e4 )
& ( op(e3,e4) = e4
| op(e3,e3) = e4
| op(e3,e2) = e4
| op(e3,e1) = e4
| op(e3,e0) = e4 )
& ( op(e4,e3) = e3
| op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 )
& ( op(e3,e4) = e3
| op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 )
& ( op(e4,e3) = e2
| op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 )
& ( op(e3,e4) = e2
| op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 )
& ( op(e4,e3) = e1
| op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 )
& ( op(e3,e4) = e1
| op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 )
& ( op(e4,e3) = e0
| op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 )
& ( op(e3,e4) = e0
| op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 )
& ( op(e4,e2) = e4
| op(e3,e2) = e4
| op(e2,e2) = e4
| op(e1,e2) = e4
| op(e0,e2) = e4 )
& ( op(e2,e4) = e4
| op(e2,e3) = e4
| op(e2,e2) = e4
| op(e2,e1) = e4
| op(e2,e0) = e4 )
& ( op(e4,e2) = e3
| op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 )
& ( op(e2,e4) = e3
| op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 )
& ( op(e4,e2) = e2
| op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 )
& ( op(e2,e4) = e2
| op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 )
& ( op(e4,e2) = e1
| op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 )
& ( op(e2,e4) = e1
| op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 )
& ( op(e4,e2) = e0
| op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 )
& ( op(e2,e4) = e0
| op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 )
& ( op(e4,e1) = e4
| op(e3,e1) = e4
| op(e2,e1) = e4
| op(e1,e1) = e4
| op(e0,e1) = e4 )
& ( op(e1,e4) = e4
| op(e1,e3) = e4
| op(e1,e2) = e4
| op(e1,e1) = e4
| op(e1,e0) = e4 )
& ( op(e4,e1) = e3
| op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 )
& ( op(e1,e4) = e3
| op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 )
& ( op(e4,e1) = e2
| op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 )
& ( op(e1,e4) = e2
| op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 )
& ( op(e4,e1) = e1
| op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 )
& ( op(e1,e4) = e1
| op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 )
& ( op(e4,e1) = e0
| op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 )
& ( op(e1,e4) = e0
| op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 )
& ( op(e4,e0) = e4
| op(e3,e0) = e4
| op(e2,e0) = e4
| op(e1,e0) = e4
| op(e0,e0) = e4 )
& ( op(e0,e4) = e4
| op(e0,e3) = e4
| op(e0,e2) = e4
| op(e0,e1) = e4
| op(e0,e0) = e4 )
& ( op(e4,e0) = e3
| op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 )
& ( op(e0,e4) = e3
| op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 )
& ( op(e4,e0) = e2
| op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 )
& ( op(e0,e4) = e2
| op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 )
& ( op(e4,e0) = e1
| op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 )
& ( op(e0,e4) = e1
| op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 )
& ( op(e4,e0) = e0
| op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 )
& ( op(e0,e4) = e0
| op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
( op(op(e4,e4),op(e4,e4)) = e4
& op(op(e3,e4),op(e4,e3)) = e4
& op(op(e2,e4),op(e4,e2)) = e4
& op(op(e1,e4),op(e4,e1)) = e4
& op(op(e0,e4),op(e4,e0)) = e4
& op(op(e4,e3),op(e3,e4)) = e3
& op(op(e3,e3),op(e3,e3)) = e3
& op(op(e2,e3),op(e3,e2)) = e3
& op(op(e1,e3),op(e3,e1)) = e3
& op(op(e0,e3),op(e3,e0)) = e3
& op(op(e4,e2),op(e2,e4)) = e2
& op(op(e3,e2),op(e2,e3)) = e2
& op(op(e2,e2),op(e2,e2)) = e2
& op(op(e1,e2),op(e2,e1)) = e2
& op(op(e0,e2),op(e2,e0)) = e2
& op(op(e4,e1),op(e1,e4)) = e1
& op(op(e3,e1),op(e1,e3)) = e1
& op(op(e2,e1),op(e1,e2)) = e1
& op(op(e1,e1),op(e1,e1)) = e1
& op(op(e0,e1),op(e1,e0)) = e1
& op(op(e4,e0),op(e0,e4)) = e0
& op(op(e3,e0),op(e0,e3)) = e0
& op(op(e2,e0),op(e0,e2)) = e0
& op(op(e1,e0),op(e0,e1)) = e0
& op(op(e0,e0),op(e0,e0)) = e0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( op(e4,e3) != op(e4,e4)
& op(e4,e2) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e2)
& op(e4,e0) != op(e4,e4)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e1)
& op(e3,e3) != op(e3,e4)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e4)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e3) != op(e2,e4)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e4)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e3) != op(e1,e4)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e3) != op(e0,e4)
& op(e0,e2) != op(e0,e4)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e4)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e3,e4) != op(e4,e4)
& op(e2,e4) != op(e4,e4)
& op(e2,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e2,e4)
& op(e0,e4) != op(e4,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e1,e4)
& op(e3,e3) != op(e4,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e4,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e3,e2) != op(e4,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e4,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e3,e1) != op(e4,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e4,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e3,e0) != op(e4,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( e3 != e4
& e2 != e4
& e2 != e3
& e1 != e4
& e1 != e3
& e1 != e2
& e0 != e4
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
( op(e4,op(e4,e4)) = e4
& op(e4,op(e4,e3)) = e3
& op(e4,op(e4,e2)) = e2
& op(e4,op(e4,e1)) = e1
& op(e4,op(e4,e0)) = e0
& op(e3,op(e3,e4)) = e4
& 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,op(e2,e4)) = e4
& 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,op(e1,e4)) = e4
& 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,op(e0,e4)) = e4
& op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
~ ( e1 = op(e3,e2)
& e4 = op(e3,op(op(e3,e2),e3))
& e0 = op(op(e3,e2),e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
~ ( e2 = op(e1,e4)
& e3 = op(e1,op(op(e1,e4),e1))
& e0 = op(op(e1,e4),e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,axiom,
~ ( e4 = op(e3,e0)
& e2 = op(e3,op(op(e3,e0),e3))
& e1 = op(op(e3,e0),e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,axiom,
~ ( e2 = op(e3,e0)
& e4 = op(e3,op(op(e3,e0),e3))
& e1 = op(op(e3,e0),e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,axiom,
~ ( e2 = op(e4,e3)
& e0 = op(e4,op(op(e4,e3),e4))
& e1 = op(op(e4,e3),e4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,axiom,
~ ( e4 = op(e0,e3)
& e2 = op(e0,op(op(e0,e3),e0))
& e1 = op(op(e0,e3),e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f52,axiom,
~ ( e0 = op(e3,e4)
& e2 = op(e3,op(op(e3,e4),e3))
& e1 = op(op(e3,e4),e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f55,axiom,
~ ( e4 = op(e3,e0)
& e1 = op(e3,op(op(e3,e0),e3))
& e2 = op(op(e3,e0),e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f58,axiom,
~ ( e1 = op(e4,e0)
& e3 = op(e4,op(op(e4,e0),e4))
& e2 = op(op(e4,e0),e4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f72,axiom,
~ ( e0 = op(e1,e3)
& e4 = op(e1,op(op(e1,e3),e1))
& e2 = op(op(e1,e3),e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f76,axiom,
~ ( e0 = op(e3,e4)
& e1 = op(e3,op(op(e3,e4),e3))
& e2 = op(op(e3,e4),e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f77,axiom,
~ ( e1 = op(e0,e4)
& e3 = op(e0,op(op(e0,e4),e0))
& e2 = op(op(e0,e4),e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f82,axiom,
~ ( e1 = op(e4,e0)
& e2 = op(e4,op(op(e4,e0),e4))
& e3 = op(op(e4,e0),e4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f91,axiom,
~ ( e4 = op(e1,e2)
& e0 = op(e1,op(op(e1,e2),e1))
& e3 = op(op(e1,e2),e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f92,axiom,
~ ( e1 = op(e4,e2)
& e0 = op(e4,op(op(e4,e2),e4))
& e3 = op(op(e4,e2),e4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f95,axiom,
~ ( e1 = op(e0,e2)
& e4 = op(e0,op(op(e0,e2),e0))
& e3 = op(op(e0,e2),e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f97,axiom,
~ ( e2 = op(e1,e4)
& e0 = op(e1,op(op(e1,e4),e1))
& e3 = op(op(e1,e4),e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f103,axiom,
~ ( e3 = op(e2,e0)
& e1 = op(e2,op(op(e2,e0),e2))
& e4 = op(op(e2,e0),e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f106,axiom,
~ ( e1 = op(e3,e0)
& e2 = op(e3,op(op(e3,e0),e3))
& e4 = op(op(e3,e0),e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f112,axiom,
~ ( e0 = op(e3,e1)
& e2 = op(e3,op(op(e3,e1),e3))
& e4 = op(op(e3,e1),e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f119,axiom,
~ ( e1 = op(e0,e2)
& e3 = op(e0,op(op(e0,e2),e0))
& e4 = op(op(e0,e2),e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f125,axiom,
~ ( e1 = op(e0,e3)
& e2 = op(e0,op(op(e0,e3),e0))
& e4 = op(op(e0,e3),e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f127,plain,
( op(e0,e0) = e4
| op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f128,plain,
( op(e0,e1) = e4
| op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f129,plain,
( op(e0,e2) = e4
| op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f130,plain,
( op(e0,e3) = e4
| op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f131,plain,
( op(e0,e4) = e4
| op(e0,e4) = e3
| op(e0,e4) = e2
| op(e0,e4) = e1
| op(e0,e4) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f140,plain,
( op(e2,e3) = e4
| op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f141,plain,
( op(e2,e4) = e4
| op(e2,e4) = e3
| op(e2,e4) = e2
| op(e2,e4) = e1
| op(e2,e4) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f142,plain,
( op(e3,e0) = e4
| op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f143,plain,
( op(e3,e1) = e4
| op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f144,plain,
( op(e3,e2) = e4
| op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f146,plain,
( op(e3,e4) = e4
| op(e3,e4) = e3
| op(e3,e4) = e2
| op(e3,e4) = e1
| op(e3,e4) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f147,plain,
( op(e4,e0) = e4
| op(e4,e0) = e3
| op(e4,e0) = e2
| op(e4,e0) = e1
| op(e4,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f149,plain,
( op(e4,e2) = e4
| op(e4,e2) = e3
| op(e4,e2) = e2
| op(e4,e2) = e1
| op(e4,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f150,plain,
( op(e4,e3) = e4
| op(e4,e3) = e3
| op(e4,e3) = e2
| op(e4,e3) = e1
| op(e4,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f154,plain,
( op(e0,e4) = e1
| op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f158,plain,
( op(e0,e4) = e3
| op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f159,plain,
( op(e4,e0) = e3
| op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f160,plain,
( op(e0,e4) = e4
| op(e0,e3) = e4
| op(e0,e2) = e4
| op(e0,e1) = e4
| op(e0,e0) = e4 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f161,plain,
( op(e4,e0) = e4
| op(e3,e0) = e4
| op(e2,e0) = e4
| op(e1,e0) = e4
| op(e0,e0) = e4 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f165,plain,
( op(e4,e1) = e1
| op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f167,plain,
( op(e4,e1) = e2
| op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f168,plain,
( op(e1,e4) = e3
| op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f170,plain,
( op(e1,e4) = e4
| op(e1,e3) = e4
| op(e1,e2) = e4
| op(e1,e1) = e4
| op(e1,e0) = e4 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f171,plain,
( op(e4,e1) = e4
| op(e3,e1) = e4
| op(e2,e1) = e4
| op(e1,e1) = e4
| op(e0,e1) = e4 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f175,plain,
( op(e4,e2) = e1
| op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f176,plain,
( op(e2,e4) = e2
| op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f178,plain,
( op(e2,e4) = e3
| op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f180,plain,
( op(e2,e4) = e4
| op(e2,e3) = e4
| op(e2,e2) = e4
| op(e2,e1) = e4
| op(e2,e0) = e4 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f184,plain,
( op(e3,e4) = e1
| op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f186,plain,
( op(e3,e4) = e2
| op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f187,plain,
( op(e4,e3) = e2
| op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f189,plain,
( op(e4,e3) = e3
| op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f190,plain,
( op(e3,e4) = e4
| op(e3,e3) = e4
| op(e3,e2) = e4
| op(e3,e1) = e4
| op(e3,e0) = e4 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f191,plain,
( op(e4,e3) = e4
| op(e3,e3) = e4
| op(e2,e3) = e4
| op(e1,e3) = e4
| op(e0,e3) = e4 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f192,plain,
( op(e4,e4) = e0
| op(e4,e3) = e0
| op(e4,e2) = e0
| op(e4,e1) = e0
| op(e4,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f193,plain,
( op(e4,e4) = e0
| op(e3,e4) = e0
| op(e2,e4) = e0
| op(e1,e4) = e0
| op(e0,e4) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f196,plain,
( op(e4,e4) = e2
| op(e4,e3) = e2
| op(e4,e2) = e2
| op(e4,e1) = e2
| op(e4,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f197,plain,
( op(e4,e4) = e2
| op(e3,e4) = e2
| op(e2,e4) = e2
| op(e1,e4) = e2
| op(e0,e4) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f198,plain,
( op(e4,e4) = e3
| op(e4,e3) = e3
| op(e4,e2) = e3
| op(e4,e1) = e3
| op(e4,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f199,plain,
( op(e4,e4) = e3
| op(e3,e4) = e3
| op(e2,e4) = e3
| op(e1,e4) = e3
| op(e0,e4) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f201,plain,
( op(e4,e4) = e4
| op(e3,e4) = e4
| op(e2,e4) = e4
| op(e1,e4) = e4
| op(e0,e4) = e4 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f202,plain,
op(op(e0,e0),op(e0,e0)) = e0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f205,plain,
op(op(e3,e0),op(e0,e3)) = e0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f206,plain,
op(op(e4,e0),op(e0,e4)) = e0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f207,plain,
op(op(e0,e1),op(e1,e0)) = e1,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f208,plain,
op(op(e1,e1),op(e1,e1)) = e1,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f210,plain,
op(op(e3,e1),op(e1,e3)) = e1,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f211,plain,
op(op(e4,e1),op(e1,e4)) = e1,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f212,plain,
op(op(e0,e2),op(e2,e0)) = e2,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f214,plain,
op(op(e2,e2),op(e2,e2)) = e2,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f216,plain,
op(op(e4,e2),op(e2,e4)) = e2,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f217,plain,
op(op(e0,e3),op(e3,e0)) = e3,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f218,plain,
op(op(e1,e3),op(e3,e1)) = e3,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f219,plain,
op(op(e2,e3),op(e3,e2)) = e3,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f220,plain,
op(op(e3,e3),op(e3,e3)) = e3,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f221,plain,
op(op(e4,e3),op(e3,e4)) = e3,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f222,plain,
op(op(e0,e4),op(e4,e0)) = e4,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f223,plain,
op(op(e1,e4),op(e4,e1)) = e4,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f224,plain,
op(op(e2,e4),op(e4,e2)) = e4,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f225,plain,
op(op(e3,e4),op(e4,e3)) = e4,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f226,plain,
op(op(e4,e4),op(e4,e4)) = e4,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f228,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f229,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f230,plain,
op(e0,e0) != op(e4,e0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f231,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f232,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f233,plain,
op(e1,e0) != op(e4,e0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f234,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f235,plain,
op(e2,e0) != op(e4,e0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f236,plain,
op(e3,e0) != op(e4,e0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f237,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f239,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f240,plain,
op(e0,e1) != op(e4,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f241,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f242,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f244,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f246,plain,
op(e3,e1) != op(e4,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f247,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f248,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f249,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f250,plain,
op(e0,e2) != op(e4,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f251,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f252,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f253,plain,
op(e1,e2) != op(e4,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f255,plain,
op(e2,e2) != op(e4,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f256,plain,
op(e3,e2) != op(e4,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f257,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f258,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f260,plain,
op(e0,e3) != op(e4,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f265,plain,
op(e2,e3) != op(e4,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f268,plain,
op(e0,e4) != op(e2,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f269,plain,
op(e0,e4) != op(e3,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f272,plain,
op(e1,e4) != op(e3,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f274,plain,
op(e2,e4) != op(e3,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f277,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f278,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f282,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f283,plain,
op(e0,e1) != op(e0,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f284,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f285,plain,
op(e0,e2) != op(e0,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f288,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f289,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f293,plain,
op(e1,e1) != op(e1,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f296,plain,
op(e1,e3) != op(e1,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f299,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f300,plain,
op(e2,e0) != op(e2,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f301,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f304,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f306,plain,
op(e2,e3) != op(e2,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f307,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f310,plain,
op(e3,e0) != op(e3,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f311,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f313,plain,
op(e3,e1) != op(e3,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f314,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f315,plain,
op(e3,e2) != op(e3,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f317,plain,
op(e4,e0) != op(e4,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f318,plain,
op(e4,e0) != op(e4,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f320,plain,
op(e4,e0) != op(e4,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f321,plain,
op(e4,e1) != op(e4,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f322,plain,
op(e4,e1) != op(e4,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f323,plain,
op(e4,e1) != op(e4,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f324,plain,
op(e4,e2) != op(e4,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f327,plain,
e0 != e1,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f328,plain,
e0 != e2,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f329,plain,
e0 != e3,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f330,plain,
e0 != e4,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f331,plain,
e1 != e2,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f332,plain,
e1 != e3,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f333,plain,
e1 != e4,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f334,plain,
e2 != e3,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f335,plain,
e2 != e4,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f336,plain,
e3 != e4,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f337,plain,
op(e0,op(e0,e0)) = e0,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f338,plain,
op(e0,op(e0,e1)) = e1,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f339,plain,
op(e0,op(e0,e2)) = e2,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f340,plain,
op(e0,op(e0,e3)) = e3,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f341,plain,
op(e0,op(e0,e4)) = e4,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f342,plain,
op(e1,op(e1,e0)) = e0,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f343,plain,
op(e1,op(e1,e1)) = e1,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f344,plain,
op(e1,op(e1,e2)) = e2,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f345,plain,
op(e1,op(e1,e3)) = e3,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f346,plain,
op(e1,op(e1,e4)) = e4,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f347,plain,
op(e2,op(e2,e0)) = e0,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f348,plain,
op(e2,op(e2,e1)) = e1,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f349,plain,
op(e2,op(e2,e2)) = e2,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f350,plain,
op(e2,op(e2,e3)) = e3,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f351,plain,
op(e2,op(e2,e4)) = e4,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f352,plain,
op(e3,op(e3,e0)) = e0,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f353,plain,
op(e3,op(e3,e1)) = e1,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f354,plain,
op(e3,op(e3,e2)) = e2,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f355,plain,
op(e3,op(e3,e3)) = e3,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f356,plain,
op(e3,op(e3,e4)) = e4,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f357,plain,
op(e4,op(e4,e0)) = e0,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f358,plain,
op(e4,op(e4,e1)) = e1,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f359,plain,
op(e4,op(e4,e2)) = e2,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f360,plain,
op(e4,op(e4,e3)) = e3,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f361,plain,
op(e4,op(e4,e4)) = e4,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f384,plain,
( e1 != op(e3,e2)
| e4 != op(e3,op(op(e3,e2),e3))
| e0 != op(op(e3,e2),e3) ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f385,plain,
( e1 != op(e3,e2)
| e4 != op(e3,op(op(e3,e2),e3))
| e0 != op(op(e3,e2),e3) ),
inference(cnf_transformation,[status(thm)],[f384]) ).
fof(f406,plain,
( e2 != op(e1,e4)
| e3 != op(e1,op(op(e1,e4),e1))
| e0 != op(op(e1,e4),e1) ),
inference(pre_NNF_transformation,[status(thm)],[f29]) ).
fof(f407,plain,
( e2 != op(e1,e4)
| e3 != op(e1,op(op(e1,e4),e1))
| e0 != op(op(e1,e4),e1) ),
inference(cnf_transformation,[status(thm)],[f406]) ).
fof(f410,plain,
( e4 != op(e3,e0)
| e2 != op(e3,op(op(e3,e0),e3))
| e1 != op(op(e3,e0),e3) ),
inference(pre_NNF_transformation,[status(thm)],[f31]) ).
fof(f411,plain,
( e4 != op(e3,e0)
| e2 != op(e3,op(op(e3,e0),e3))
| e1 != op(op(e3,e0),e3) ),
inference(cnf_transformation,[status(thm)],[f410]) ).
fof(f420,plain,
( e2 != op(e3,e0)
| e4 != op(e3,op(op(e3,e0),e3))
| e1 != op(op(e3,e0),e3) ),
inference(pre_NNF_transformation,[status(thm)],[f36]) ).
fof(f421,plain,
( e2 != op(e3,e0)
| e4 != op(e3,op(op(e3,e0),e3))
| e1 != op(op(e3,e0),e3) ),
inference(cnf_transformation,[status(thm)],[f420]) ).
fof(f436,plain,
( e2 != op(e4,e3)
| e0 != op(e4,op(op(e4,e3),e4))
| e1 != op(op(e4,e3),e4) ),
inference(pre_NNF_transformation,[status(thm)],[f44]) ).
fof(f437,plain,
( e2 != op(e4,e3)
| e0 != op(e4,op(op(e4,e3),e4))
| e1 != op(op(e4,e3),e4) ),
inference(cnf_transformation,[status(thm)],[f436]) ).
fof(f438,plain,
( e4 != op(e0,e3)
| e2 != op(e0,op(op(e0,e3),e0))
| e1 != op(op(e0,e3),e0) ),
inference(pre_NNF_transformation,[status(thm)],[f45]) ).
fof(f439,plain,
( e4 != op(e0,e3)
| e2 != op(e0,op(op(e0,e3),e0))
| e1 != op(op(e0,e3),e0) ),
inference(cnf_transformation,[status(thm)],[f438]) ).
fof(f452,plain,
( e0 != op(e3,e4)
| e2 != op(e3,op(op(e3,e4),e3))
| e1 != op(op(e3,e4),e3) ),
inference(pre_NNF_transformation,[status(thm)],[f52]) ).
fof(f453,plain,
( e0 != op(e3,e4)
| e2 != op(e3,op(op(e3,e4),e3))
| e1 != op(op(e3,e4),e3) ),
inference(cnf_transformation,[status(thm)],[f452]) ).
fof(f458,plain,
( e4 != op(e3,e0)
| e1 != op(e3,op(op(e3,e0),e3))
| e2 != op(op(e3,e0),e3) ),
inference(pre_NNF_transformation,[status(thm)],[f55]) ).
fof(f459,plain,
( e4 != op(e3,e0)
| e1 != op(e3,op(op(e3,e0),e3))
| e2 != op(op(e3,e0),e3) ),
inference(cnf_transformation,[status(thm)],[f458]) ).
fof(f464,plain,
( e1 != op(e4,e0)
| e3 != op(e4,op(op(e4,e0),e4))
| e2 != op(op(e4,e0),e4) ),
inference(pre_NNF_transformation,[status(thm)],[f58]) ).
fof(f465,plain,
( e1 != op(e4,e0)
| e3 != op(e4,op(op(e4,e0),e4))
| e2 != op(op(e4,e0),e4) ),
inference(cnf_transformation,[status(thm)],[f464]) ).
fof(f492,plain,
( e0 != op(e1,e3)
| e4 != op(e1,op(op(e1,e3),e1))
| e2 != op(op(e1,e3),e1) ),
inference(pre_NNF_transformation,[status(thm)],[f72]) ).
fof(f493,plain,
( e0 != op(e1,e3)
| e4 != op(e1,op(op(e1,e3),e1))
| e2 != op(op(e1,e3),e1) ),
inference(cnf_transformation,[status(thm)],[f492]) ).
fof(f500,plain,
( e0 != op(e3,e4)
| e1 != op(e3,op(op(e3,e4),e3))
| e2 != op(op(e3,e4),e3) ),
inference(pre_NNF_transformation,[status(thm)],[f76]) ).
fof(f501,plain,
( e0 != op(e3,e4)
| e1 != op(e3,op(op(e3,e4),e3))
| e2 != op(op(e3,e4),e3) ),
inference(cnf_transformation,[status(thm)],[f500]) ).
fof(f502,plain,
( e1 != op(e0,e4)
| e3 != op(e0,op(op(e0,e4),e0))
| e2 != op(op(e0,e4),e0) ),
inference(pre_NNF_transformation,[status(thm)],[f77]) ).
fof(f503,plain,
( e1 != op(e0,e4)
| e3 != op(e0,op(op(e0,e4),e0))
| e2 != op(op(e0,e4),e0) ),
inference(cnf_transformation,[status(thm)],[f502]) ).
fof(f512,plain,
( e1 != op(e4,e0)
| e2 != op(e4,op(op(e4,e0),e4))
| e3 != op(op(e4,e0),e4) ),
inference(pre_NNF_transformation,[status(thm)],[f82]) ).
fof(f513,plain,
( e1 != op(e4,e0)
| e2 != op(e4,op(op(e4,e0),e4))
| e3 != op(op(e4,e0),e4) ),
inference(cnf_transformation,[status(thm)],[f512]) ).
fof(f530,plain,
( e4 != op(e1,e2)
| e0 != op(e1,op(op(e1,e2),e1))
| e3 != op(op(e1,e2),e1) ),
inference(pre_NNF_transformation,[status(thm)],[f91]) ).
fof(f531,plain,
( e4 != op(e1,e2)
| e0 != op(e1,op(op(e1,e2),e1))
| e3 != op(op(e1,e2),e1) ),
inference(cnf_transformation,[status(thm)],[f530]) ).
fof(f532,plain,
( e1 != op(e4,e2)
| e0 != op(e4,op(op(e4,e2),e4))
| e3 != op(op(e4,e2),e4) ),
inference(pre_NNF_transformation,[status(thm)],[f92]) ).
fof(f533,plain,
( e1 != op(e4,e2)
| e0 != op(e4,op(op(e4,e2),e4))
| e3 != op(op(e4,e2),e4) ),
inference(cnf_transformation,[status(thm)],[f532]) ).
fof(f538,plain,
( e1 != op(e0,e2)
| e4 != op(e0,op(op(e0,e2),e0))
| e3 != op(op(e0,e2),e0) ),
inference(pre_NNF_transformation,[status(thm)],[f95]) ).
fof(f539,plain,
( e1 != op(e0,e2)
| e4 != op(e0,op(op(e0,e2),e0))
| e3 != op(op(e0,e2),e0) ),
inference(cnf_transformation,[status(thm)],[f538]) ).
fof(f542,plain,
( e2 != op(e1,e4)
| e0 != op(e1,op(op(e1,e4),e1))
| e3 != op(op(e1,e4),e1) ),
inference(pre_NNF_transformation,[status(thm)],[f97]) ).
fof(f543,plain,
( e2 != op(e1,e4)
| e0 != op(e1,op(op(e1,e4),e1))
| e3 != op(op(e1,e4),e1) ),
inference(cnf_transformation,[status(thm)],[f542]) ).
fof(f554,plain,
( e3 != op(e2,e0)
| e1 != op(e2,op(op(e2,e0),e2))
| e4 != op(op(e2,e0),e2) ),
inference(pre_NNF_transformation,[status(thm)],[f103]) ).
fof(f555,plain,
( e3 != op(e2,e0)
| e1 != op(e2,op(op(e2,e0),e2))
| e4 != op(op(e2,e0),e2) ),
inference(cnf_transformation,[status(thm)],[f554]) ).
fof(f560,plain,
( e1 != op(e3,e0)
| e2 != op(e3,op(op(e3,e0),e3))
| e4 != op(op(e3,e0),e3) ),
inference(pre_NNF_transformation,[status(thm)],[f106]) ).
fof(f561,plain,
( e1 != op(e3,e0)
| e2 != op(e3,op(op(e3,e0),e3))
| e4 != op(op(e3,e0),e3) ),
inference(cnf_transformation,[status(thm)],[f560]) ).
fof(f572,plain,
( e0 != op(e3,e1)
| e2 != op(e3,op(op(e3,e1),e3))
| e4 != op(op(e3,e1),e3) ),
inference(pre_NNF_transformation,[status(thm)],[f112]) ).
fof(f573,plain,
( e0 != op(e3,e1)
| e2 != op(e3,op(op(e3,e1),e3))
| e4 != op(op(e3,e1),e3) ),
inference(cnf_transformation,[status(thm)],[f572]) ).
fof(f586,plain,
( e1 != op(e0,e2)
| e3 != op(e0,op(op(e0,e2),e0))
| e4 != op(op(e0,e2),e0) ),
inference(pre_NNF_transformation,[status(thm)],[f119]) ).
fof(f587,plain,
( e1 != op(e0,e2)
| e3 != op(e0,op(op(e0,e2),e0))
| e4 != op(op(e0,e2),e0) ),
inference(cnf_transformation,[status(thm)],[f586]) ).
fof(f598,plain,
( e1 != op(e0,e3)
| e2 != op(e0,op(op(e0,e3),e0))
| e4 != op(op(e0,e3),e0) ),
inference(pre_NNF_transformation,[status(thm)],[f125]) ).
fof(f599,plain,
( e1 != op(e0,e3)
| e2 != op(e0,op(op(e0,e3),e0))
| e4 != op(op(e0,e3),e0) ),
inference(cnf_transformation,[status(thm)],[f598]) ).
fof(f602,definition,
( sQ0_spl
<=> op(e0,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f603,plain,
( ~ sQ0_spl
| op(e0,e0) = e0 ),
inference(component_clause,[status(thm)],[f602]) ).
fof(f605,definition,
( sQ1_spl
<=> op(e0,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f606,plain,
( ~ sQ1_spl
| op(e0,e0) = e1 ),
inference(component_clause,[status(thm)],[f605]) ).
fof(f608,definition,
( sQ2_spl
<=> op(e0,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f609,plain,
( ~ sQ2_spl
| op(e0,e0) = e2 ),
inference(component_clause,[status(thm)],[f608]) ).
fof(f611,definition,
( sQ3_spl
<=> op(e0,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f612,plain,
( ~ sQ3_spl
| op(e0,e0) = e3 ),
inference(component_clause,[status(thm)],[f611]) ).
fof(f614,definition,
( sQ4_spl
<=> op(e0,e0) = e4 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f615,plain,
( ~ sQ4_spl
| op(e0,e0) = e4 ),
inference(component_clause,[status(thm)],[f614]) ).
fof(f617,plain,
( sQ4_spl
| sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f127,f602,f605,f608,f611,f614]) ).
fof(f618,definition,
( sQ5_spl
<=> op(e0,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f621,definition,
( sQ6_spl
<=> op(e0,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f622,plain,
( ~ sQ6_spl
| op(e0,e1) = e1 ),
inference(component_clause,[status(thm)],[f621]) ).
fof(f624,definition,
( sQ7_spl
<=> op(e0,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f625,plain,
( ~ sQ7_spl
| op(e0,e1) = e2 ),
inference(component_clause,[status(thm)],[f624]) ).
fof(f627,definition,
( sQ8_spl
<=> op(e0,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f628,plain,
( ~ sQ8_spl
| op(e0,e1) = e3 ),
inference(component_clause,[status(thm)],[f627]) ).
fof(f630,definition,
( sQ9_spl
<=> op(e0,e1) = e4 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f631,plain,
( ~ sQ9_spl
| op(e0,e1) = e4 ),
inference(component_clause,[status(thm)],[f630]) ).
fof(f633,plain,
( sQ9_spl
| sQ8_spl
| sQ7_spl
| sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f128,f618,f621,f624,f627,f630]) ).
fof(f634,definition,
( sQ10_spl
<=> op(e0,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f637,definition,
( sQ11_spl
<=> op(e0,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f638,plain,
( ~ sQ11_spl
| op(e0,e2) = e1 ),
inference(component_clause,[status(thm)],[f637]) ).
fof(f640,definition,
( sQ12_spl
<=> op(e0,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f641,plain,
( ~ sQ12_spl
| op(e0,e2) = e2 ),
inference(component_clause,[status(thm)],[f640]) ).
fof(f643,definition,
( sQ13_spl
<=> op(e0,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f644,plain,
( ~ sQ13_spl
| op(e0,e2) = e3 ),
inference(component_clause,[status(thm)],[f643]) ).
fof(f646,definition,
( sQ14_spl
<=> op(e0,e2) = e4 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f647,plain,
( ~ sQ14_spl
| op(e0,e2) = e4 ),
inference(component_clause,[status(thm)],[f646]) ).
fof(f649,plain,
( sQ14_spl
| sQ13_spl
| sQ12_spl
| sQ11_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f129,f634,f637,f640,f643,f646]) ).
fof(f650,definition,
( sQ15_spl
<=> op(e0,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f651,plain,
( ~ sQ15_spl
| op(e0,e3) = e0 ),
inference(component_clause,[status(thm)],[f650]) ).
fof(f653,definition,
( sQ16_spl
<=> op(e0,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f654,plain,
( ~ sQ16_spl
| op(e0,e3) = e1 ),
inference(component_clause,[status(thm)],[f653]) ).
fof(f656,definition,
( sQ17_spl
<=> op(e0,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f657,plain,
( ~ sQ17_spl
| op(e0,e3) = e2 ),
inference(component_clause,[status(thm)],[f656]) ).
fof(f659,definition,
( sQ18_spl
<=> op(e0,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f660,plain,
( ~ sQ18_spl
| op(e0,e3) = e3 ),
inference(component_clause,[status(thm)],[f659]) ).
fof(f662,definition,
( sQ19_spl
<=> op(e0,e3) = e4 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f663,plain,
( ~ sQ19_spl
| op(e0,e3) = e4 ),
inference(component_clause,[status(thm)],[f662]) ).
fof(f665,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f130,f650,f653,f656,f659,f662]) ).
fof(f666,definition,
( sQ20_spl
<=> op(e0,e4) = e0 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f667,plain,
( ~ sQ20_spl
| op(e0,e4) = e0 ),
inference(component_clause,[status(thm)],[f666]) ).
fof(f669,definition,
( sQ21_spl
<=> op(e0,e4) = e1 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f670,plain,
( ~ sQ21_spl
| op(e0,e4) = e1 ),
inference(component_clause,[status(thm)],[f669]) ).
fof(f672,definition,
( sQ22_spl
<=> op(e0,e4) = e2 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f673,plain,
( ~ sQ22_spl
| op(e0,e4) = e2 ),
inference(component_clause,[status(thm)],[f672]) ).
fof(f675,definition,
( sQ23_spl
<=> op(e0,e4) = e3 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f676,plain,
( ~ sQ23_spl
| op(e0,e4) = e3 ),
inference(component_clause,[status(thm)],[f675]) ).
fof(f678,definition,
( sQ24_spl
<=> op(e0,e4) = e4 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f679,plain,
( ~ sQ24_spl
| op(e0,e4) = e4 ),
inference(component_clause,[status(thm)],[f678]) ).
fof(f681,plain,
( sQ24_spl
| sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f131,f666,f669,f672,f675,f678]) ).
fof(f685,definition,
( sQ26_spl
<=> op(e1,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f688,definition,
( sQ27_spl
<=> op(e1,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f689,plain,
( ~ sQ27_spl
| op(e1,e0) = e2 ),
inference(component_clause,[status(thm)],[f688]) ).
fof(f691,definition,
( sQ28_spl
<=> op(e1,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f692,plain,
( ~ sQ28_spl
| op(e1,e0) = e3 ),
inference(component_clause,[status(thm)],[f691]) ).
fof(f694,definition,
( sQ29_spl
<=> op(e1,e0) = e4 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f695,plain,
( ~ sQ29_spl
| op(e1,e0) = e4 ),
inference(component_clause,[status(thm)],[f694]) ).
fof(f698,definition,
( sQ30_spl
<=> op(e1,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f699,plain,
( ~ sQ30_spl
| op(e1,e1) = e0 ),
inference(component_clause,[status(thm)],[f698]) ).
fof(f701,definition,
( sQ31_spl
<=> op(e1,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f702,plain,
( ~ sQ31_spl
| op(e1,e1) = e1 ),
inference(component_clause,[status(thm)],[f701]) ).
fof(f704,definition,
( sQ32_spl
<=> op(e1,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f705,plain,
( ~ sQ32_spl
| op(e1,e1) = e2 ),
inference(component_clause,[status(thm)],[f704]) ).
fof(f706,plain,
( sQ32_spl
| op(e1,e1) != e2 ),
inference(component_clause,[status(thm)],[f704]) ).
fof(f707,definition,
( sQ33_spl
<=> op(e1,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f708,plain,
( ~ sQ33_spl
| op(e1,e1) = e3 ),
inference(component_clause,[status(thm)],[f707]) ).
fof(f710,definition,
( sQ34_spl
<=> op(e1,e1) = e4 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f711,plain,
( ~ sQ34_spl
| op(e1,e1) = e4 ),
inference(component_clause,[status(thm)],[f710]) ).
fof(f714,definition,
( sQ35_spl
<=> op(e1,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f717,definition,
( sQ36_spl
<=> op(e1,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f718,plain,
( ~ sQ36_spl
| op(e1,e2) = e1 ),
inference(component_clause,[status(thm)],[f717]) ).
fof(f720,definition,
( sQ37_spl
<=> op(e1,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f723,definition,
( sQ38_spl
<=> op(e1,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f724,plain,
( ~ sQ38_spl
| op(e1,e2) = e3 ),
inference(component_clause,[status(thm)],[f723]) ).
fof(f725,plain,
( sQ38_spl
| op(e1,e2) != e3 ),
inference(component_clause,[status(thm)],[f723]) ).
fof(f726,definition,
( sQ39_spl
<=> op(e1,e2) = e4 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f727,plain,
( ~ sQ39_spl
| op(e1,e2) = e4 ),
inference(component_clause,[status(thm)],[f726]) ).
fof(f730,definition,
( sQ40_spl
<=> op(e1,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f731,plain,
( ~ sQ40_spl
| op(e1,e3) = e0 ),
inference(component_clause,[status(thm)],[f730]) ).
fof(f733,definition,
( sQ41_spl
<=> op(e1,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f734,plain,
( ~ sQ41_spl
| op(e1,e3) = e1 ),
inference(component_clause,[status(thm)],[f733]) ).
fof(f736,definition,
( sQ42_spl
<=> op(e1,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f737,plain,
( ~ sQ42_spl
| op(e1,e3) = e2 ),
inference(component_clause,[status(thm)],[f736]) ).
fof(f739,definition,
( sQ43_spl
<=> op(e1,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f740,plain,
( ~ sQ43_spl
| op(e1,e3) = e3 ),
inference(component_clause,[status(thm)],[f739]) ).
fof(f742,definition,
( sQ44_spl
<=> op(e1,e3) = e4 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f743,plain,
( ~ sQ44_spl
| op(e1,e3) = e4 ),
inference(component_clause,[status(thm)],[f742]) ).
fof(f746,definition,
( sQ45_spl
<=> op(e1,e4) = e0 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f747,plain,
( ~ sQ45_spl
| op(e1,e4) = e0 ),
inference(component_clause,[status(thm)],[f746]) ).
fof(f752,definition,
( sQ47_spl
<=> op(e1,e4) = e2 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f753,plain,
( ~ sQ47_spl
| op(e1,e4) = e2 ),
inference(component_clause,[status(thm)],[f752]) ).
fof(f755,definition,
( sQ48_spl
<=> op(e1,e4) = e3 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f756,plain,
( ~ sQ48_spl
| op(e1,e4) = e3 ),
inference(component_clause,[status(thm)],[f755]) ).
fof(f758,definition,
( sQ49_spl
<=> op(e1,e4) = e4 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f759,plain,
( ~ sQ49_spl
| op(e1,e4) = e4 ),
inference(component_clause,[status(thm)],[f758]) ).
fof(f762,definition,
( sQ50_spl
<=> op(e2,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f763,plain,
( ~ sQ50_spl
| op(e2,e0) = e0 ),
inference(component_clause,[status(thm)],[f762]) ).
fof(f765,definition,
( sQ51_spl
<=> op(e2,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f766,plain,
( ~ sQ51_spl
| op(e2,e0) = e1 ),
inference(component_clause,[status(thm)],[f765]) ).
fof(f768,definition,
( sQ52_spl
<=> op(e2,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f769,plain,
( ~ sQ52_spl
| op(e2,e0) = e2 ),
inference(component_clause,[status(thm)],[f768]) ).
fof(f771,definition,
( sQ53_spl
<=> op(e2,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f772,plain,
( ~ sQ53_spl
| op(e2,e0) = e3 ),
inference(component_clause,[status(thm)],[f771]) ).
fof(f774,definition,
( sQ54_spl
<=> op(e2,e0) = e4 ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f775,plain,
( ~ sQ54_spl
| op(e2,e0) = e4 ),
inference(component_clause,[status(thm)],[f774]) ).
fof(f781,definition,
( sQ56_spl
<=> op(e2,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f782,plain,
( ~ sQ56_spl
| op(e2,e1) = e1 ),
inference(component_clause,[status(thm)],[f781]) ).
fof(f784,definition,
( sQ57_spl
<=> op(e2,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f785,plain,
( ~ sQ57_spl
| op(e2,e1) = e2 ),
inference(component_clause,[status(thm)],[f784]) ).
fof(f787,definition,
( sQ58_spl
<=> op(e2,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f788,plain,
( ~ sQ58_spl
| op(e2,e1) = e3 ),
inference(component_clause,[status(thm)],[f787]) ).
fof(f790,definition,
( sQ59_spl
<=> op(e2,e1) = e4 ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f791,plain,
( ~ sQ59_spl
| op(e2,e1) = e4 ),
inference(component_clause,[status(thm)],[f790]) ).
fof(f794,definition,
( sQ60_spl
<=> op(e2,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f795,plain,
( ~ sQ60_spl
| op(e2,e2) = e0 ),
inference(component_clause,[status(thm)],[f794]) ).
fof(f796,plain,
( sQ60_spl
| op(e2,e2) != e0 ),
inference(component_clause,[status(thm)],[f794]) ).
fof(f797,definition,
( sQ61_spl
<=> op(e2,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f798,plain,
( ~ sQ61_spl
| op(e2,e2) = e1 ),
inference(component_clause,[status(thm)],[f797]) ).
fof(f800,definition,
( sQ62_spl
<=> op(e2,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f801,plain,
( ~ sQ62_spl
| op(e2,e2) = e2 ),
inference(component_clause,[status(thm)],[f800]) ).
fof(f803,definition,
( sQ63_spl
<=> op(e2,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f804,plain,
( ~ sQ63_spl
| op(e2,e2) = e3 ),
inference(component_clause,[status(thm)],[f803]) ).
fof(f806,definition,
( sQ64_spl
<=> op(e2,e2) = e4 ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f807,plain,
( ~ sQ64_spl
| op(e2,e2) = e4 ),
inference(component_clause,[status(thm)],[f806]) ).
fof(f810,definition,
( sQ65_spl
<=> op(e2,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f811,plain,
( ~ sQ65_spl
| op(e2,e3) = e0 ),
inference(component_clause,[status(thm)],[f810]) ).
fof(f813,definition,
( sQ66_spl
<=> op(e2,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f814,plain,
( ~ sQ66_spl
| op(e2,e3) = e1 ),
inference(component_clause,[status(thm)],[f813]) ).
fof(f816,definition,
( sQ67_spl
<=> op(e2,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f817,plain,
( ~ sQ67_spl
| op(e2,e3) = e2 ),
inference(component_clause,[status(thm)],[f816]) ).
fof(f818,plain,
( sQ67_spl
| op(e2,e3) != e2 ),
inference(component_clause,[status(thm)],[f816]) ).
fof(f819,definition,
( sQ68_spl
<=> op(e2,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f820,plain,
( ~ sQ68_spl
| op(e2,e3) = e3 ),
inference(component_clause,[status(thm)],[f819]) ).
fof(f821,plain,
( sQ68_spl
| op(e2,e3) != e3 ),
inference(component_clause,[status(thm)],[f819]) ).
fof(f822,definition,
( sQ69_spl
<=> op(e2,e3) = e4 ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f823,plain,
( ~ sQ69_spl
| op(e2,e3) = e4 ),
inference(component_clause,[status(thm)],[f822]) ).
fof(f825,plain,
( sQ69_spl
| sQ68_spl
| sQ67_spl
| sQ66_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f140,f810,f813,f816,f819,f822]) ).
fof(f826,definition,
( sQ70_spl
<=> op(e2,e4) = e0 ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f827,plain,
( ~ sQ70_spl
| op(e2,e4) = e0 ),
inference(component_clause,[status(thm)],[f826]) ).
fof(f829,definition,
( sQ71_spl
<=> op(e2,e4) = e1 ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f830,plain,
( ~ sQ71_spl
| op(e2,e4) = e1 ),
inference(component_clause,[status(thm)],[f829]) ).
fof(f832,definition,
( sQ72_spl
<=> op(e2,e4) = e2 ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f833,plain,
( ~ sQ72_spl
| op(e2,e4) = e2 ),
inference(component_clause,[status(thm)],[f832]) ).
fof(f835,definition,
( sQ73_spl
<=> op(e2,e4) = e3 ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f836,plain,
( ~ sQ73_spl
| op(e2,e4) = e3 ),
inference(component_clause,[status(thm)],[f835]) ).
fof(f838,definition,
( sQ74_spl
<=> op(e2,e4) = e4 ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f839,plain,
( ~ sQ74_spl
| op(e2,e4) = e4 ),
inference(component_clause,[status(thm)],[f838]) ).
fof(f841,plain,
( sQ74_spl
| sQ73_spl
| sQ72_spl
| sQ71_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f141,f826,f829,f832,f835,f838]) ).
fof(f842,definition,
( sQ75_spl
<=> op(e3,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f843,plain,
( ~ sQ75_spl
| op(e3,e0) = e0 ),
inference(component_clause,[status(thm)],[f842]) ).
fof(f845,definition,
( sQ76_spl
<=> op(e3,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f846,plain,
( ~ sQ76_spl
| op(e3,e0) = e1 ),
inference(component_clause,[status(thm)],[f845]) ).
fof(f848,definition,
( sQ77_spl
<=> op(e3,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f849,plain,
( ~ sQ77_spl
| op(e3,e0) = e2 ),
inference(component_clause,[status(thm)],[f848]) ).
fof(f851,definition,
( sQ78_spl
<=> op(e3,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f852,plain,
( ~ sQ78_spl
| op(e3,e0) = e3 ),
inference(component_clause,[status(thm)],[f851]) ).
fof(f854,definition,
( sQ79_spl
<=> op(e3,e0) = e4 ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f855,plain,
( ~ sQ79_spl
| op(e3,e0) = e4 ),
inference(component_clause,[status(thm)],[f854]) ).
fof(f857,plain,
( sQ79_spl
| sQ78_spl
| sQ77_spl
| sQ76_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f142,f842,f845,f848,f851,f854]) ).
fof(f858,definition,
( sQ80_spl
<=> op(e3,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f861,definition,
( sQ81_spl
<=> op(e3,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f862,plain,
( ~ sQ81_spl
| op(e3,e1) = e1 ),
inference(component_clause,[status(thm)],[f861]) ).
fof(f864,definition,
( sQ82_spl
<=> op(e3,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f865,plain,
( ~ sQ82_spl
| op(e3,e1) = e2 ),
inference(component_clause,[status(thm)],[f864]) ).
fof(f867,definition,
( sQ83_spl
<=> op(e3,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f868,plain,
( ~ sQ83_spl
| op(e3,e1) = e3 ),
inference(component_clause,[status(thm)],[f867]) ).
fof(f870,definition,
( sQ84_spl
<=> op(e3,e1) = e4 ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f871,plain,
( ~ sQ84_spl
| op(e3,e1) = e4 ),
inference(component_clause,[status(thm)],[f870]) ).
fof(f872,plain,
( sQ84_spl
| op(e3,e1) != e4 ),
inference(component_clause,[status(thm)],[f870]) ).
fof(f873,plain,
( sQ84_spl
| sQ83_spl
| sQ82_spl
| sQ81_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f143,f858,f861,f864,f867,f870]) ).
fof(f874,definition,
( sQ85_spl
<=> op(e3,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f875,plain,
( ~ sQ85_spl
| op(e3,e2) = e0 ),
inference(component_clause,[status(thm)],[f874]) ).
fof(f877,definition,
( sQ86_spl
<=> op(e3,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f878,plain,
( ~ sQ86_spl
| op(e3,e2) = e1 ),
inference(component_clause,[status(thm)],[f877]) ).
fof(f880,definition,
( sQ87_spl
<=> op(e3,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f881,plain,
( ~ sQ87_spl
| op(e3,e2) = e2 ),
inference(component_clause,[status(thm)],[f880]) ).
fof(f883,definition,
( sQ88_spl
<=> op(e3,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f886,definition,
( sQ89_spl
<=> op(e3,e2) = e4 ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f887,plain,
( ~ sQ89_spl
| op(e3,e2) = e4 ),
inference(component_clause,[status(thm)],[f886]) ).
fof(f889,plain,
( sQ89_spl
| sQ88_spl
| sQ87_spl
| sQ86_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f144,f874,f877,f880,f883,f886]) ).
fof(f890,definition,
( sQ90_spl
<=> op(e3,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f891,plain,
( ~ sQ90_spl
| op(e3,e3) = e0 ),
inference(component_clause,[status(thm)],[f890]) ).
fof(f893,definition,
( sQ91_spl
<=> op(e3,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f894,plain,
( ~ sQ91_spl
| op(e3,e3) = e1 ),
inference(component_clause,[status(thm)],[f893]) ).
fof(f896,definition,
( sQ92_spl
<=> op(e3,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f897,plain,
( ~ sQ92_spl
| op(e3,e3) = e2 ),
inference(component_clause,[status(thm)],[f896]) ).
fof(f899,definition,
( sQ93_spl
<=> op(e3,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f900,plain,
( ~ sQ93_spl
| op(e3,e3) = e3 ),
inference(component_clause,[status(thm)],[f899]) ).
fof(f902,definition,
( sQ94_spl
<=> op(e3,e3) = e4 ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f903,plain,
( ~ sQ94_spl
| op(e3,e3) = e4 ),
inference(component_clause,[status(thm)],[f902]) ).
fof(f904,plain,
( sQ94_spl
| op(e3,e3) != e4 ),
inference(component_clause,[status(thm)],[f902]) ).
fof(f906,definition,
( sQ95_spl
<=> op(e3,e4) = e0 ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f907,plain,
( ~ sQ95_spl
| op(e3,e4) = e0 ),
inference(component_clause,[status(thm)],[f906]) ).
fof(f909,definition,
( sQ96_spl
<=> op(e3,e4) = e1 ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f910,plain,
( ~ sQ96_spl
| op(e3,e4) = e1 ),
inference(component_clause,[status(thm)],[f909]) ).
fof(f912,definition,
( sQ97_spl
<=> op(e3,e4) = e2 ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f913,plain,
( ~ sQ97_spl
| op(e3,e4) = e2 ),
inference(component_clause,[status(thm)],[f912]) ).
fof(f915,definition,
( sQ98_spl
<=> op(e3,e4) = e3 ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f916,plain,
( ~ sQ98_spl
| op(e3,e4) = e3 ),
inference(component_clause,[status(thm)],[f915]) ).
fof(f918,definition,
( sQ99_spl
<=> op(e3,e4) = e4 ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f919,plain,
( ~ sQ99_spl
| op(e3,e4) = e4 ),
inference(component_clause,[status(thm)],[f918]) ).
fof(f921,plain,
( sQ99_spl
| sQ98_spl
| sQ97_spl
| sQ96_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f146,f906,f909,f912,f915,f918]) ).
fof(f922,definition,
( sQ100_spl
<=> op(e4,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f925,definition,
( sQ101_spl
<=> op(e4,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f926,plain,
( ~ sQ101_spl
| op(e4,e0) = e1 ),
inference(component_clause,[status(thm)],[f925]) ).
fof(f928,definition,
( sQ102_spl
<=> op(e4,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f929,plain,
( ~ sQ102_spl
| op(e4,e0) = e2 ),
inference(component_clause,[status(thm)],[f928]) ).
fof(f931,definition,
( sQ103_spl
<=> op(e4,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f932,plain,
( ~ sQ103_spl
| op(e4,e0) = e3 ),
inference(component_clause,[status(thm)],[f931]) ).
fof(f934,definition,
( sQ104_spl
<=> op(e4,e0) = e4 ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f937,plain,
( sQ104_spl
| sQ103_spl
| sQ102_spl
| sQ101_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f147,f922,f925,f928,f931,f934]) ).
fof(f938,definition,
( sQ105_spl
<=> op(e4,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f939,plain,
( ~ sQ105_spl
| op(e4,e1) = e0 ),
inference(component_clause,[status(thm)],[f938]) ).
fof(f941,definition,
( sQ106_spl
<=> op(e4,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f944,definition,
( sQ107_spl
<=> op(e4,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f945,plain,
( ~ sQ107_spl
| op(e4,e1) = e2 ),
inference(component_clause,[status(thm)],[f944]) ).
fof(f947,definition,
( sQ108_spl
<=> op(e4,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f948,plain,
( ~ sQ108_spl
| op(e4,e1) = e3 ),
inference(component_clause,[status(thm)],[f947]) ).
fof(f950,definition,
( sQ109_spl
<=> op(e4,e1) = e4 ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f954,definition,
( sQ110_spl
<=> op(e4,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f955,plain,
( ~ sQ110_spl
| op(e4,e2) = e0 ),
inference(component_clause,[status(thm)],[f954]) ).
fof(f957,definition,
( sQ111_spl
<=> op(e4,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f958,plain,
( ~ sQ111_spl
| op(e4,e2) = e1 ),
inference(component_clause,[status(thm)],[f957]) ).
fof(f960,definition,
( sQ112_spl
<=> op(e4,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f961,plain,
( ~ sQ112_spl
| op(e4,e2) = e2 ),
inference(component_clause,[status(thm)],[f960]) ).
fof(f963,definition,
( sQ113_spl
<=> op(e4,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f966,definition,
( sQ114_spl
<=> op(e4,e2) = e4 ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f967,plain,
( ~ sQ114_spl
| op(e4,e2) = e4 ),
inference(component_clause,[status(thm)],[f966]) ).
fof(f969,plain,
( sQ114_spl
| sQ113_spl
| sQ112_spl
| sQ111_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f149,f954,f957,f960,f963,f966]) ).
fof(f970,definition,
( sQ115_spl
<=> op(e4,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f971,plain,
( ~ sQ115_spl
| op(e4,e3) = e0 ),
inference(component_clause,[status(thm)],[f970]) ).
fof(f973,definition,
( sQ116_spl
<=> op(e4,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f974,plain,
( ~ sQ116_spl
| op(e4,e3) = e1 ),
inference(component_clause,[status(thm)],[f973]) ).
fof(f976,definition,
( sQ117_spl
<=> op(e4,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f977,plain,
( ~ sQ117_spl
| op(e4,e3) = e2 ),
inference(component_clause,[status(thm)],[f976]) ).
fof(f979,definition,
( sQ118_spl
<=> op(e4,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f980,plain,
( ~ sQ118_spl
| op(e4,e3) = e3 ),
inference(component_clause,[status(thm)],[f979]) ).
fof(f982,definition,
( sQ119_spl
<=> op(e4,e3) = e4 ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f983,plain,
( ~ sQ119_spl
| op(e4,e3) = e4 ),
inference(component_clause,[status(thm)],[f982]) ).
fof(f985,plain,
( sQ119_spl
| sQ118_spl
| sQ117_spl
| sQ116_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f150,f970,f973,f976,f979,f982]) ).
fof(f986,definition,
( sQ120_spl
<=> op(e4,e4) = e0 ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f987,plain,
( ~ sQ120_spl
| op(e4,e4) = e0 ),
inference(component_clause,[status(thm)],[f986]) ).
fof(f992,definition,
( sQ122_spl
<=> op(e4,e4) = e2 ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f993,plain,
( ~ sQ122_spl
| op(e4,e4) = e2 ),
inference(component_clause,[status(thm)],[f992]) ).
fof(f995,definition,
( sQ123_spl
<=> op(e4,e4) = e3 ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f996,plain,
( ~ sQ123_spl
| op(e4,e4) = e3 ),
inference(component_clause,[status(thm)],[f995]) ).
fof(f998,definition,
( sQ124_spl
<=> op(e4,e4) = e4 ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f999,plain,
( ~ sQ124_spl
| op(e4,e4) = e4 ),
inference(component_clause,[status(thm)],[f998]) ).
fof(f1004,plain,
( sQ21_spl
| sQ16_spl
| sQ11_spl
| sQ6_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f154,f605,f621,f637,f653,f669]) ).
fof(f1008,plain,
( sQ23_spl
| sQ18_spl
| sQ13_spl
| sQ8_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f158,f611,f627,f643,f659,f675]) ).
fof(f1009,plain,
( sQ103_spl
| sQ78_spl
| sQ53_spl
| sQ28_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f159,f611,f691,f771,f851,f931]) ).
fof(f1010,plain,
( sQ24_spl
| sQ19_spl
| sQ14_spl
| sQ9_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f160,f614,f630,f646,f662,f678]) ).
fof(f1011,plain,
( sQ104_spl
| sQ79_spl
| sQ54_spl
| sQ29_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f161,f614,f694,f774,f854,f934]) ).
fof(f1015,plain,
( sQ106_spl
| sQ81_spl
| sQ56_spl
| sQ31_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f165,f621,f701,f781,f861,f941]) ).
fof(f1017,plain,
( sQ107_spl
| sQ82_spl
| sQ57_spl
| sQ32_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f167,f624,f704,f784,f864,f944]) ).
fof(f1018,plain,
( sQ48_spl
| sQ43_spl
| sQ38_spl
| sQ33_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f168,f691,f707,f723,f739,f755]) ).
fof(f1020,plain,
( sQ49_spl
| sQ44_spl
| sQ39_spl
| sQ34_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f170,f694,f710,f726,f742,f758]) ).
fof(f1021,plain,
( sQ109_spl
| sQ84_spl
| sQ59_spl
| sQ34_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f171,f630,f710,f790,f870,f950]) ).
fof(f1025,plain,
( sQ111_spl
| sQ86_spl
| sQ61_spl
| sQ36_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f175,f637,f717,f797,f877,f957]) ).
fof(f1026,plain,
( sQ72_spl
| sQ67_spl
| sQ62_spl
| sQ57_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f176,f768,f784,f800,f816,f832]) ).
fof(f1028,plain,
( sQ73_spl
| sQ68_spl
| sQ63_spl
| sQ58_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f178,f771,f787,f803,f819,f835]) ).
fof(f1030,plain,
( sQ74_spl
| sQ69_spl
| sQ64_spl
| sQ59_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f180,f774,f790,f806,f822,f838]) ).
fof(f1034,plain,
( sQ96_spl
| sQ91_spl
| sQ86_spl
| sQ81_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f184,f845,f861,f877,f893,f909]) ).
fof(f1036,plain,
( sQ97_spl
| sQ92_spl
| sQ87_spl
| sQ82_spl
| sQ77_spl ),
inference(split_clause,[status(thm)],[f186,f848,f864,f880,f896,f912]) ).
fof(f1037,plain,
( sQ117_spl
| sQ92_spl
| sQ67_spl
| sQ42_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f187,f656,f736,f816,f896,f976]) ).
fof(f1039,plain,
( sQ118_spl
| sQ93_spl
| sQ68_spl
| sQ43_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f189,f659,f739,f819,f899,f979]) ).
fof(f1040,plain,
( sQ99_spl
| sQ94_spl
| sQ89_spl
| sQ84_spl
| sQ79_spl ),
inference(split_clause,[status(thm)],[f190,f854,f870,f886,f902,f918]) ).
fof(f1041,plain,
( sQ119_spl
| sQ94_spl
| sQ69_spl
| sQ44_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f191,f662,f742,f822,f902,f982]) ).
fof(f1042,plain,
( sQ120_spl
| sQ115_spl
| sQ110_spl
| sQ105_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f192,f922,f938,f954,f970,f986]) ).
fof(f1043,plain,
( sQ120_spl
| sQ95_spl
| sQ70_spl
| sQ45_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f193,f666,f746,f826,f906,f986]) ).
fof(f1046,plain,
( sQ122_spl
| sQ117_spl
| sQ112_spl
| sQ107_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f196,f928,f944,f960,f976,f992]) ).
fof(f1047,plain,
( sQ122_spl
| sQ97_spl
| sQ72_spl
| sQ47_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f197,f672,f752,f832,f912,f992]) ).
fof(f1048,plain,
( sQ123_spl
| sQ118_spl
| sQ113_spl
| sQ108_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f198,f931,f947,f963,f979,f995]) ).
fof(f1049,plain,
( sQ123_spl
| sQ98_spl
| sQ73_spl
| sQ48_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f199,f675,f755,f835,f915,f995]) ).
fof(f1051,plain,
( sQ124_spl
| sQ99_spl
| sQ74_spl
| sQ49_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f201,f678,f758,f838,f918,f998]) ).
fof(f1055,definition,
( sQ126_spl
<=> e2 = op(e3,op(op(e3,e1),e3)) ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f1057,plain,
( sQ126_spl
| e2 != op(e3,op(op(e3,e1),e3)) ),
inference(component_clause,[status(thm)],[f1055]) ).
fof(f1085,definition,
( sQ134_spl
<=> e0 = op(op(e3,e2),e3) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f1087,plain,
( sQ134_spl
| e0 != op(op(e3,e2),e3) ),
inference(component_clause,[status(thm)],[f1085]) ).
fof(f1114,definition,
( sQ142_spl
<=> e4 = op(e3,op(op(e3,e2),e3)) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f1117,plain,
( ~ sQ86_spl
| ~ sQ142_spl
| ~ sQ134_spl ),
inference(split_clause,[status(thm)],[f385,f1085,f1114,f877]) ).
fof(f1143,definition,
( sQ150_spl
<=> e4 = op(e1,op(op(e1,e3),e1)) ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f1161,definition,
( sQ155_spl
<=> e1 = op(e3,op(op(e3,e4),e3)) ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f1163,plain,
( sQ155_spl
| e1 != op(e3,op(op(e3,e4),e3)) ),
inference(component_clause,[status(thm)],[f1161]) ).
fof(f1165,definition,
( sQ156_spl
<=> e0 = op(op(e1,e4),e1) ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f1172,definition,
( sQ158_spl
<=> e2 = op(e3,op(op(e3,e4),e3)) ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f1174,plain,
( sQ158_spl
| e2 != op(e3,op(op(e3,e4),e3)) ),
inference(component_clause,[status(thm)],[f1172]) ).
fof(f1176,definition,
( sQ159_spl
<=> e3 = op(e1,op(op(e1,e4),e1)) ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f1179,plain,
( ~ sQ47_spl
| ~ sQ159_spl
| ~ sQ156_spl ),
inference(split_clause,[status(thm)],[f407,f1165,f1176,f752]) ).
fof(f1184,definition,
( sQ161_spl
<=> e1 = op(op(e3,e0),e3) ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f1186,plain,
( sQ161_spl
| e1 != op(op(e3,e0),e3) ),
inference(component_clause,[status(thm)],[f1184]) ).
fof(f1187,definition,
( sQ162_spl
<=> e2 = op(e3,op(op(e3,e0),e3)) ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f1189,plain,
( sQ162_spl
| e2 != op(e3,op(op(e3,e0),e3)) ),
inference(component_clause,[status(thm)],[f1187]) ).
fof(f1190,plain,
( ~ sQ79_spl
| ~ sQ162_spl
| ~ sQ161_spl ),
inference(split_clause,[status(thm)],[f411,f1184,f1187,f854]) ).
fof(f1194,definition,
( sQ164_spl
<=> e2 = op(e4,op(op(e4,e0),e4)) ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f1205,definition,
( sQ167_spl
<=> e3 = op(e4,op(op(e4,e0),e4)) ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f1213,definition,
( sQ169_spl
<=> e4 = op(e3,op(op(e3,e0),e3)) ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f1215,plain,
( sQ169_spl
| e4 != op(e3,op(op(e3,e0),e3)) ),
inference(component_clause,[status(thm)],[f1213]) ).
fof(f1216,plain,
( ~ sQ77_spl
| ~ sQ169_spl
| ~ sQ161_spl ),
inference(split_clause,[status(thm)],[f421,f1184,f1213,f848]) ).
fof(f1227,definition,
( sQ173_spl
<=> e0 = op(e4,op(op(e4,e2),e4)) ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f1229,plain,
( sQ173_spl
| e0 != op(e4,op(op(e4,e2),e4)) ),
inference(component_clause,[status(thm)],[f1227]) ).
fof(f1234,definition,
( sQ175_spl
<=> e3 = op(e0,op(op(e0,e2),e0)) ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f1236,plain,
( sQ175_spl
| e3 != op(e0,op(op(e0,e2),e0)) ),
inference(component_clause,[status(thm)],[f1234]) ).
fof(f1239,definition,
( sQ176_spl
<=> e4 = op(e0,op(op(e0,e2),e0)) ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f1251,definition,
( sQ179_spl
<=> e1 = op(op(e4,e3),e4) ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f1253,plain,
( sQ179_spl
| e1 != op(op(e4,e3),e4) ),
inference(component_clause,[status(thm)],[f1251]) ).
fof(f1254,definition,
( sQ180_spl
<=> e0 = op(e4,op(op(e4,e3),e4)) ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f1257,plain,
( ~ sQ117_spl
| ~ sQ180_spl
| ~ sQ179_spl ),
inference(split_clause,[status(thm)],[f437,f1251,f1254,f976]) ).
fof(f1258,definition,
( sQ181_spl
<=> e1 = op(op(e0,e3),e0) ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f1260,plain,
( sQ181_spl
| e1 != op(op(e0,e3),e0) ),
inference(component_clause,[status(thm)],[f1258]) ).
fof(f1261,definition,
( sQ182_spl
<=> e2 = op(e0,op(op(e0,e3),e0)) ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f1263,plain,
( sQ182_spl
| e2 != op(e0,op(op(e0,e3),e0)) ),
inference(component_clause,[status(thm)],[f1261]) ).
fof(f1264,plain,
( ~ sQ19_spl
| ~ sQ182_spl
| ~ sQ181_spl ),
inference(split_clause,[status(thm)],[f439,f1258,f1261,f662]) ).
fof(f1278,definition,
( sQ186_spl
<=> e1 = op(op(e3,e4),e3) ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f1280,plain,
( sQ186_spl
| e1 != op(op(e3,e4),e3) ),
inference(component_clause,[status(thm)],[f1278]) ).
fof(f1292,plain,
( ~ sQ95_spl
| ~ sQ158_spl
| ~ sQ186_spl ),
inference(split_clause,[status(thm)],[f453,f1278,f1172,f906]) ).
fof(f1293,definition,
( sQ190_spl
<=> e3 = op(e0,op(op(e0,e4),e0)) ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f1295,plain,
( sQ190_spl
| e3 != op(e0,op(op(e0,e4),e0)) ),
inference(component_clause,[status(thm)],[f1293]) ).
fof(f1298,definition,
( sQ191_spl
<=> e2 = op(op(e3,e0),e3) ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f1299,plain,
( ~ sQ191_spl
| e2 = op(op(e3,e0),e3) ),
inference(component_clause,[status(thm)],[f1298]) ).
fof(f1300,plain,
( sQ191_spl
| e2 != op(op(e3,e0),e3) ),
inference(component_clause,[status(thm)],[f1298]) ).
fof(f1301,definition,
( sQ192_spl
<=> e1 = op(e3,op(op(e3,e0),e3)) ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f1303,plain,
( sQ192_spl
| e1 != op(e3,op(op(e3,e0),e3)) ),
inference(component_clause,[status(thm)],[f1301]) ).
fof(f1304,plain,
( ~ sQ79_spl
| ~ sQ192_spl
| ~ sQ191_spl ),
inference(split_clause,[status(thm)],[f459,f1298,f1301,f854]) ).
fof(f1305,definition,
( sQ193_spl
<=> e2 = op(op(e4,e0),e4) ),
introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).
fof(f1307,plain,
( sQ193_spl
| e2 != op(op(e4,e0),e4) ),
inference(component_clause,[status(thm)],[f1305]) ).
fof(f1319,plain,
( ~ sQ101_spl
| ~ sQ167_spl
| ~ sQ193_spl ),
inference(split_clause,[status(thm)],[f465,f1305,f1205,f925]) ).
fof(f1352,definition,
( sQ205_spl
<=> e2 = op(op(e1,e3),e1) ),
introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).
fof(f1354,plain,
( sQ205_spl
| e2 != op(op(e1,e3),e1) ),
inference(component_clause,[status(thm)],[f1352]) ).
fof(f1372,plain,
( ~ sQ40_spl
| ~ sQ150_spl
| ~ sQ205_spl ),
inference(split_clause,[status(thm)],[f493,f1352,f1143,f730]) ).
fof(f1376,definition,
( sQ211_spl
<=> e0 = op(e1,op(op(e1,e4),e1)) ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f1380,definition,
( sQ212_spl
<=> e2 = op(op(e3,e4),e3) ),
introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).
fof(f1382,plain,
( sQ212_spl
| e2 != op(op(e3,e4),e3) ),
inference(component_clause,[status(thm)],[f1380]) ).
fof(f1384,definition,
( sQ213_spl
<=> e2 = op(op(e0,e4),e0) ),
introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).
fof(f1386,plain,
( sQ213_spl
| e2 != op(op(e0,e4),e0) ),
inference(component_clause,[status(thm)],[f1384]) ).
fof(f1391,plain,
( ~ sQ95_spl
| ~ sQ155_spl
| ~ sQ212_spl ),
inference(split_clause,[status(thm)],[f501,f1380,f1161,f906]) ).
fof(f1392,plain,
( ~ sQ21_spl
| ~ sQ190_spl
| ~ sQ213_spl ),
inference(split_clause,[status(thm)],[f503,f1384,f1293,f669]) ).
fof(f1397,definition,
( sQ216_spl
<=> e1 = op(e2,op(op(e2,e0),e2)) ),
introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition]) ).
fof(f1399,plain,
( sQ216_spl
| e1 != op(e2,op(op(e2,e0),e2)) ),
inference(component_clause,[status(thm)],[f1397]) ).
fof(f1401,definition,
( sQ217_spl
<=> e3 = op(op(e4,e0),e4) ),
introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition]) ).
fof(f1412,plain,
( ~ sQ101_spl
| ~ sQ164_spl
| ~ sQ217_spl ),
inference(split_clause,[status(thm)],[f513,f1401,f1194,f925]) ).
fof(f1436,definition,
( sQ225_spl
<=> e3 = op(op(e1,e2),e1) ),
introduced(definition,[new_symbols(definition,[sQ225_spl])],[split_symbol_definition]) ).
fof(f1438,plain,
( sQ225_spl
| e3 != op(op(e1,e2),e1) ),
inference(component_clause,[status(thm)],[f1436]) ).
fof(f1439,definition,
( sQ226_spl
<=> e0 = op(e1,op(op(e1,e2),e1)) ),
introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition]) ).
fof(f1442,plain,
( ~ sQ39_spl
| ~ sQ226_spl
| ~ sQ225_spl ),
inference(split_clause,[status(thm)],[f531,f1436,f1439,f726]) ).
fof(f1443,definition,
( sQ227_spl
<=> e3 = op(op(e4,e2),e4) ),
introduced(definition,[new_symbols(definition,[sQ227_spl])],[split_symbol_definition]) ).
fof(f1445,plain,
( sQ227_spl
| e3 != op(op(e4,e2),e4) ),
inference(component_clause,[status(thm)],[f1443]) ).
fof(f1446,plain,
( ~ sQ111_spl
| ~ sQ173_spl
| ~ sQ227_spl ),
inference(split_clause,[status(thm)],[f533,f1443,f1227,f957]) ).
fof(f1447,definition,
( sQ228_spl
<=> e3 = op(op(e0,e2),e0) ),
introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition]) ).
fof(f1449,plain,
( sQ228_spl
| e3 != op(op(e0,e2),e0) ),
inference(component_clause,[status(thm)],[f1447]) ).
fof(f1455,plain,
( ~ sQ11_spl
| ~ sQ176_spl
| ~ sQ228_spl ),
inference(split_clause,[status(thm)],[f539,f1447,f1239,f637]) ).
fof(f1457,definition,
( sQ230_spl
<=> e3 = op(op(e1,e4),e1) ),
introduced(definition,[new_symbols(definition,[sQ230_spl])],[split_symbol_definition]) ).
fof(f1459,plain,
( sQ230_spl
| e3 != op(op(e1,e4),e1) ),
inference(component_clause,[status(thm)],[f1457]) ).
fof(f1460,plain,
( ~ sQ47_spl
| ~ sQ211_spl
| ~ sQ230_spl ),
inference(split_clause,[status(thm)],[f543,f1457,f1376,f752]) ).
fof(f1472,definition,
( sQ233_spl
<=> e4 = op(op(e2,e0),e2) ),
introduced(definition,[new_symbols(definition,[sQ233_spl])],[split_symbol_definition]) ).
fof(f1474,plain,
( sQ233_spl
| e4 != op(op(e2,e0),e2) ),
inference(component_clause,[status(thm)],[f1472]) ).
fof(f1475,plain,
( ~ sQ53_spl
| ~ sQ216_spl
| ~ sQ233_spl ),
inference(split_clause,[status(thm)],[f555,f1472,f1397,f771]) ).
fof(f1476,definition,
( sQ234_spl
<=> e4 = op(op(e3,e0),e3) ),
introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition]) ).
fof(f1484,plain,
( ~ sQ76_spl
| ~ sQ162_spl
| ~ sQ234_spl ),
inference(split_clause,[status(thm)],[f561,f1476,f1187,f845]) ).
fof(f1491,definition,
( sQ237_spl
<=> e4 = op(op(e3,e1),e3) ),
introduced(definition,[new_symbols(definition,[sQ237_spl])],[split_symbol_definition]) ).
fof(f1493,plain,
( sQ237_spl
| e4 != op(op(e3,e1),e3) ),
inference(component_clause,[status(thm)],[f1491]) ).
fof(f1499,plain,
( ~ sQ80_spl
| ~ sQ126_spl
| ~ sQ237_spl ),
inference(split_clause,[status(thm)],[f573,f1491,f1055,f858]) ).
fof(f1510,definition,
( sQ241_spl
<=> e4 = op(op(e0,e2),e0) ),
introduced(definition,[new_symbols(definition,[sQ241_spl])],[split_symbol_definition]) ).
fof(f1512,plain,
( sQ241_spl
| e4 != op(op(e0,e2),e0) ),
inference(component_clause,[status(thm)],[f1510]) ).
fof(f1515,plain,
( ~ sQ11_spl
| ~ sQ175_spl
| ~ sQ241_spl ),
inference(split_clause,[status(thm)],[f587,f1510,f1234,f637]) ).
fof(f1525,definition,
( sQ244_spl
<=> e4 = op(op(e0,e3),e0) ),
introduced(definition,[new_symbols(definition,[sQ244_spl])],[split_symbol_definition]) ).
fof(f1527,plain,
( sQ244_spl
| e4 != op(op(e0,e3),e0) ),
inference(component_clause,[status(thm)],[f1525]) ).
fof(f1530,plain,
( ~ sQ16_spl
| ~ sQ182_spl
| ~ sQ244_spl ),
inference(split_clause,[status(thm)],[f599,f1525,f1261,f653]) ).
fof(f1532,plain,
( ~ sQ124_spl
| op(e4,e4) = e4 ),
inference(backward_demodulation,[status(thm)],[f999,f361]) ).
fof(f1535,plain,
( ~ sQ124_spl
| op(e4,e1) != e4 ),
inference(backward_demodulation,[status(thm)],[f999,f323]) ).
fof(f1536,plain,
( ~ sQ124_spl
| op(e4,e0) != e4 ),
inference(backward_demodulation,[status(thm)],[f999,f320]) ).
fof(f1550,plain,
( ~ sQ99_spl
| op(e4,op(e4,e3)) = e4 ),
inference(backward_demodulation,[status(thm)],[f919,f225]) ).
fof(f1559,plain,
( ~ sQ74_spl
| op(e4,op(e4,e2)) = e4 ),
inference(backward_demodulation,[status(thm)],[f839,f224]) ).
fof(f1567,plain,
( ~ sQ49_spl
| op(e4,op(e4,e1)) = e4 ),
inference(backward_demodulation,[status(thm)],[f759,f223]) ).
fof(f1574,plain,
( ~ sQ24_spl
| op(e4,op(e4,e0)) = e4 ),
inference(backward_demodulation,[status(thm)],[f679,f222]) ).
fof(f1602,plain,
( ~ sQ123_spl
| ~ sQ124_spl
| e4 = e3 ),
inference(forward_demodulation,[status(thm)],[f999,f996]) ).
fof(f1603,plain,
( ~ sQ123_spl
| ~ sQ124_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1602,f336]) ).
fof(f1604,plain,
( ~ sQ123_spl
| ~ sQ124_spl ),
inference(contradiction_clause,[status(thm)],[f1603]) ).
fof(f1640,plain,
( ~ sQ93_spl
| ~ sQ94_spl
| e4 = e3 ),
inference(forward_demodulation,[status(thm)],[f903,f900]) ).
fof(f1641,plain,
( ~ sQ93_spl
| ~ sQ94_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1640,f336]) ).
fof(f1642,plain,
( ~ sQ93_spl
| ~ sQ94_spl ),
inference(contradiction_clause,[status(thm)],[f1641]) ).
fof(f1649,plain,
( ~ sQ68_spl
| op(e3,op(e3,e2)) = e3 ),
inference(backward_demodulation,[status(thm)],[f820,f219]) ).
fof(f1656,plain,
( ~ sQ43_spl
| op(e3,op(e3,e1)) = e3 ),
inference(backward_demodulation,[status(thm)],[f740,f218]) ).
fof(f1662,plain,
( ~ sQ18_spl
| op(e3,op(e3,e0)) = e3 ),
inference(backward_demodulation,[status(thm)],[f660,f217]) ).
fof(f1670,plain,
( ~ sQ83_spl
| op(e3,e3) = e1 ),
inference(backward_demodulation,[status(thm)],[f868,f353]) ).
fof(f1673,plain,
( ~ sQ83_spl
| op(e1,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f868,f242]) ).
fof(f1675,plain,
( ~ sQ78_spl
| op(e3,e3) = e0 ),
inference(backward_demodulation,[status(thm)],[f852,f352]) ).
fof(f1700,plain,
( ~ sQ64_spl
| op(e2,e4) = e2 ),
inference(backward_demodulation,[status(thm)],[f807,f349]) ).
fof(f1718,plain,
( ~ sQ12_spl
| op(e2,op(e2,e0)) = e2 ),
inference(backward_demodulation,[status(thm)],[f641,f212]) ).
fof(f1720,plain,
( ~ sQ57_spl
| op(e2,e2) = e1 ),
inference(backward_demodulation,[status(thm)],[f785,f348]) ).
fof(f1724,plain,
( ~ sQ52_spl
| op(e2,e2) = e0 ),
inference(backward_demodulation,[status(thm)],[f769,f347]) ).
fof(f1733,plain,
( ~ sQ56_spl
| ~ sQ57_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f785,f782]) ).
fof(f1734,plain,
( ~ sQ56_spl
| ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1733,f331]) ).
fof(f1735,plain,
( ~ sQ56_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f1734]) ).
fof(f1749,plain,
( ~ sQ31_spl
| ~ sQ32_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f705,f702]) ).
fof(f1750,plain,
( ~ sQ31_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1749,f331]) ).
fof(f1751,plain,
( ~ sQ31_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f1750]) ).
fof(f1754,plain,
( ~ sQ6_spl
| op(e1,op(e1,e0)) = e1 ),
inference(backward_demodulation,[status(thm)],[f622,f207]) ).
fof(f1765,plain,
( ~ sQ4_spl
| op(op(e0,e0),e4) = e0 ),
inference(backward_demodulation,[status(thm)],[f615,f202]) ).
fof(f1787,plain,
( ~ sQ120_spl
| op(e0,op(e4,e4)) = e4 ),
inference(forward_demodulation,[status(thm)],[f987,f226]) ).
fof(f1788,plain,
( ~ sQ120_spl
| op(e0,e0) = e4 ),
inference(forward_demodulation,[status(thm)],[f987,f1787]) ).
fof(f1789,plain,
( ~ sQ120_spl
| ~ sQ0_spl
| e0 = e4 ),
inference(forward_demodulation,[status(thm)],[f603,f1788]) ).
fof(f1790,plain,
( ~ sQ120_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1789,f330]) ).
fof(f1791,plain,
( ~ sQ120_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f1790]) ).
fof(f1821,plain,
( ~ sQ112_spl
| e2 != op(e4,e3) ),
inference(backward_demodulation,[status(thm)],[f961,f324]) ).
fof(f1833,plain,
( ~ sQ112_spl
| op(e3,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f961,f256]) ).
fof(f1834,plain,
( ~ sQ112_spl
| op(e2,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f961,f255]) ).
fof(f1887,plain,
( ~ sQ20_spl
| op(e0,e0) = e4 ),
inference(forward_demodulation,[status(thm)],[f667,f341]) ).
fof(f1912,plain,
( ~ sQ99_spl
| e3 = e4 ),
inference(forward_demodulation,[status(thm)],[f360,f1550]) ).
fof(f1913,plain,
( ~ sQ99_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1912,f336]) ).
fof(f1914,plain,
~ sQ99_spl,
inference(contradiction_clause,[status(thm)],[f1913]) ).
fof(f1933,plain,
( ~ sQ119_spl
| op(e4,e4) = e3 ),
inference(backward_demodulation,[status(thm)],[f983,f360]) ).
fof(f1956,plain,
( ~ sQ90_spl
| op(e0,op(e3,e3)) = e3 ),
inference(forward_demodulation,[status(thm)],[f891,f220]) ).
fof(f1957,plain,
( ~ sQ90_spl
| op(e0,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f891,f1956]) ).
fof(f1964,plain,
( ~ sQ67_spl
| op(e0,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f817,f258]) ).
fof(f1968,plain,
( ~ sQ67_spl
| op(e2,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f817,f304]) ).
fof(f1969,plain,
( ~ sQ67_spl
| op(e2,e2) = e3 ),
inference(backward_demodulation,[status(thm)],[f817,f350]) ).
fof(f1978,plain,
( ~ sQ87_spl
| ~ sQ112_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f881,f1833]) ).
fof(f1979,plain,
( ~ sQ87_spl
| ~ sQ112_spl ),
inference(contradiction_clause,[status(thm)],[f1978]) ).
fof(f1980,plain,
( ~ sQ91_spl
| ~ sQ93_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f900,f894]) ).
fof(f1981,plain,
( ~ sQ91_spl
| ~ sQ93_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1980,f332]) ).
fof(f1982,plain,
( ~ sQ91_spl
| ~ sQ93_spl ),
inference(contradiction_clause,[status(thm)],[f1981]) ).
fof(f1985,plain,
( ~ sQ75_spl
| op(e0,op(e0,e3)) = e0 ),
inference(backward_demodulation,[status(thm)],[f843,f205]) ).
fof(f1998,plain,
( ~ sQ63_spl
| op(e2,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f804,f301]) ).
fof(f1999,plain,
( ~ sQ63_spl
| op(e2,e3) = e2 ),
inference(backward_demodulation,[status(thm)],[f804,f349]) ).
fof(f2011,plain,
( sQ205_spl
| ~ sQ40_spl
| e2 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f731,f1354]) ).
fof(f2025,plain,
( sQ182_spl
| ~ sQ16_spl
| e2 != op(e0,op(e1,e0)) ),
inference(backward_demodulation,[status(thm)],[f654,f1263]) ).
fof(f2026,plain,
( ~ sQ65_spl
| ~ sQ67_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f817,f811]) ).
fof(f2027,plain,
( ~ sQ65_spl
| ~ sQ67_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2026,f328]) ).
fof(f2028,plain,
( ~ sQ65_spl
| ~ sQ67_spl ),
inference(contradiction_clause,[status(thm)],[f2027]) ).
fof(f2029,plain,
( ~ sQ17_spl
| ~ sQ16_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f654,f657]) ).
fof(f2030,plain,
( ~ sQ17_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2029,f331]) ).
fof(f2031,plain,
( ~ sQ17_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f2030]) ).
fof(f2032,plain,
( ~ sQ42_spl
| ~ sQ40_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f731,f737]) ).
fof(f2033,plain,
( ~ sQ42_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2032,f328]) ).
fof(f2034,plain,
( ~ sQ42_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f2033]) ).
fof(f2045,plain,
( sQ228_spl
| ~ sQ11_spl
| e3 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f638,f1449]) ).
fof(f2048,plain,
( sQ241_spl
| ~ sQ11_spl
| e4 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f638,f1512]) ).
fof(f2059,plain,
( ~ sQ13_spl
| ~ sQ11_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f638,f644]) ).
fof(f2060,plain,
( ~ sQ13_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2059,f332]) ).
fof(f2061,plain,
( ~ sQ13_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f2060]) ).
fof(f2062,plain,
( ~ sQ86_spl
| ~ sQ85_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f875,f878]) ).
fof(f2063,plain,
( ~ sQ86_spl
| ~ sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2062,f327]) ).
fof(f2064,plain,
( ~ sQ86_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f2063]) ).
fof(f2076,plain,
( ~ sQ7_spl
| e2 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f625,f239]) ).
fof(f2120,plain,
( ~ sQ28_spl
| ~ sQ27_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f689,f692]) ).
fof(f2121,plain,
( ~ sQ28_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2120,f334]) ).
fof(f2122,plain,
( ~ sQ28_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f2121]) ).
fof(f2123,plain,
( ~ sQ53_spl
| ~ sQ51_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f766,f772]) ).
fof(f2124,plain,
( ~ sQ53_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2123,f332]) ).
fof(f2125,plain,
( ~ sQ53_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f2124]) ).
fof(f2129,plain,
( ~ sQ22_spl
| ~ sQ21_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f670,f673]) ).
fof(f2130,plain,
( ~ sQ22_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2129,f331]) ).
fof(f2131,plain,
( ~ sQ22_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f2130]) ).
fof(f2141,plain,
( ~ sQ36_spl
| ~ sQ39_spl
| e4 = e1 ),
inference(forward_demodulation,[status(thm)],[f727,f718]) ).
fof(f2142,plain,
( ~ sQ36_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2141,f333]) ).
fof(f2143,plain,
( ~ sQ36_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f2142]) ).
fof(f2144,plain,
( ~ sQ14_spl
| e4 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f647,f247]) ).
fof(f2147,plain,
( ~ sQ56_spl
| ~ sQ59_spl
| e4 = e1 ),
inference(forward_demodulation,[status(thm)],[f791,f782]) ).
fof(f2148,plain,
( ~ sQ56_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2147,f333]) ).
fof(f2149,plain,
( ~ sQ56_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f2148]) ).
fof(f2163,plain,
( ~ sQ31_spl
| ~ sQ33_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f708,f702]) ).
fof(f2164,plain,
( ~ sQ31_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2163,f332]) ).
fof(f2165,plain,
( ~ sQ31_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f2164]) ).
fof(f2166,plain,
( ~ sQ9_spl
| op(e0,e4) = e1 ),
inference(forward_demodulation,[status(thm)],[f631,f338]) ).
fof(f2179,plain,
( ~ sQ29_spl
| op(e1,e4) = e0 ),
inference(backward_demodulation,[status(thm)],[f695,f342]) ).
fof(f2180,plain,
( ~ sQ29_spl
| e4 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f695,f231]) ).
fof(f2192,plain,
( sQ193_spl
| ~ sQ101_spl
| e2 != op(e1,e4) ),
inference(forward_demodulation,[status(thm)],[f926,f1307]) ).
fof(f2193,plain,
( sQ193_spl
| ~ sQ101_spl
| ~ sQ47_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f753,f2192]) ).
fof(f2194,plain,
( sQ193_spl
| ~ sQ101_spl
| ~ sQ47_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2193]) ).
fof(f2195,plain,
( sQ193_spl
| ~ sQ101_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f2194]) ).
fof(f2204,plain,
( ~ sQ98_spl
| op(e3,e3) = e4 ),
inference(forward_demodulation,[status(thm)],[f916,f356]) ).
fof(f2224,plain,
( sQ161_spl
| ~ sQ77_spl
| e1 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f849,f1186]) ).
fof(f2225,plain,
( sQ161_spl
| ~ sQ77_spl
| ~ sQ66_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f814,f2224]) ).
fof(f2226,plain,
( sQ161_spl
| ~ sQ77_spl
| ~ sQ66_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2225]) ).
fof(f2227,plain,
( sQ161_spl
| ~ sQ77_spl
| ~ sQ66_spl ),
inference(contradiction_clause,[status(thm)],[f2226]) ).
fof(f2255,plain,
( sQ94_spl
| ~ sQ98_spl
| e4 != e4 ),
inference(forward_demodulation,[status(thm)],[f2204,f904]) ).
fof(f2256,plain,
( sQ94_spl
| ~ sQ98_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2255]) ).
fof(f2257,plain,
( sQ94_spl
| ~ sQ98_spl ),
inference(contradiction_clause,[status(thm)],[f2256]) ).
fof(f2263,plain,
( ~ sQ54_spl
| op(e2,e4) = e0 ),
inference(backward_demodulation,[status(thm)],[f775,f347]) ).
fof(f2272,plain,
( ~ sQ115_spl
| op(e4,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f971,f324]) ).
fof(f2279,plain,
( ~ sQ115_spl
| op(e4,e0) = e3 ),
inference(backward_demodulation,[status(thm)],[f971,f360]) ).
fof(f2286,plain,
( ~ sQ108_spl
| ~ sQ107_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f945,f948]) ).
fof(f2287,plain,
( ~ sQ108_spl
| ~ sQ107_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2286,f334]) ).
fof(f2288,plain,
( ~ sQ108_spl
| ~ sQ107_spl ),
inference(contradiction_clause,[status(thm)],[f2287]) ).
fof(f2293,plain,
( sQ213_spl
| ~ sQ23_spl
| e2 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f676,f1386]) ).
fof(f2294,plain,
( sQ190_spl
| ~ sQ23_spl
| e3 != op(e0,op(e3,e0)) ),
inference(forward_demodulation,[status(thm)],[f676,f1295]) ).
fof(f2298,plain,
( ~ sQ102_spl
| op(e2,op(e0,e4)) = e0 ),
inference(forward_demodulation,[status(thm)],[f929,f206]) ).
fof(f2299,plain,
( ~ sQ102_spl
| ~ sQ23_spl
| op(e2,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f676,f2298]) ).
fof(f2300,plain,
( ~ sQ102_spl
| ~ sQ23_spl
| ~ sQ66_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f814,f2299]) ).
fof(f2301,plain,
( ~ sQ102_spl
| ~ sQ23_spl
| ~ sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2300,f327]) ).
fof(f2302,plain,
( ~ sQ102_spl
| ~ sQ23_spl
| ~ sQ66_spl ),
inference(contradiction_clause,[status(thm)],[f2301]) ).
fof(f2307,plain,
( ~ sQ63_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f1999,f816,f803]) ).
fof(f2319,plain,
( ~ sQ66_spl
| op(e2,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f814,f350]) ).
fof(f2320,plain,
( ~ sQ66_spl
| ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2319,f1998]) ).
fof(f2321,plain,
( ~ sQ66_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f2320]) ).
fof(f2327,plain,
( ~ sQ19_spl
| op(e0,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f2331,f285]) ).
fof(f2328,plain,
( ~ sQ19_spl
| op(e0,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f2331,f283]) ).
fof(f2331,plain,
( ~ sQ19_spl
| op(e0,e4) = e3 ),
inference(forward_demodulation,[status(thm)],[f663,f340]) ).
fof(f2347,plain,
( ~ sQ84_spl
| op(e4,op(e1,e3)) = e1 ),
inference(forward_demodulation,[status(thm)],[f871,f210]) ).
fof(f2348,plain,
( ~ sQ84_spl
| ~ sQ44_spl
| op(e4,e4) = e1 ),
inference(forward_demodulation,[status(thm)],[f743,f2347]) ).
fof(f2349,plain,
( ~ sQ44_spl
| op(e4,op(e3,e1)) = e3 ),
inference(forward_demodulation,[status(thm)],[f743,f218]) ).
fof(f2350,plain,
( ~ sQ44_spl
| ~ sQ84_spl
| op(e4,e4) = e3 ),
inference(forward_demodulation,[status(thm)],[f871,f2349]) ).
fof(f2351,plain,
( ~ sQ44_spl
| ~ sQ84_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f2348,f2350]) ).
fof(f2352,plain,
( ~ sQ44_spl
| ~ sQ84_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2351,f332]) ).
fof(f2353,plain,
( ~ sQ44_spl
| ~ sQ84_spl ),
inference(contradiction_clause,[status(thm)],[f2352]) ).
fof(f2354,plain,
( ~ sQ19_spl
| e4 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f663,f257]) ).
fof(f2355,plain,
( ~ sQ19_spl
| ~ sQ44_spl
| e4 != e4 ),
inference(forward_demodulation,[status(thm)],[f743,f2354]) ).
fof(f2356,plain,
( ~ sQ19_spl
| ~ sQ44_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2355]) ).
fof(f2357,plain,
( ~ sQ19_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f2356]) ).
fof(f2358,plain,
( ~ sQ29_spl
| e4 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f695,f289]) ).
fof(f2390,plain,
( ~ sQ48_spl
| op(e1,e3) = e4 ),
inference(forward_demodulation,[status(thm)],[f756,f346]) ).
fof(f2391,plain,
( ~ sQ48_spl
| ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2390,f2358]) ).
fof(f2392,plain,
( ~ sQ48_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f2391]) ).
fof(f2411,plain,
( ~ sQ74_spl
| e2 = e4 ),
inference(forward_demodulation,[status(thm)],[f359,f1559]) ).
fof(f2412,plain,
( ~ sQ74_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2411,f335]) ).
fof(f2413,plain,
~ sQ74_spl,
inference(contradiction_clause,[status(thm)],[f2412]) ).
fof(f2414,plain,
( ~ sQ97_spl
| ~ sQ96_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f910,f913]) ).
fof(f2415,plain,
( ~ sQ97_spl
| ~ sQ96_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2414,f331]) ).
fof(f2416,plain,
( ~ sQ97_spl
| ~ sQ96_spl ),
inference(contradiction_clause,[status(thm)],[f2415]) ).
fof(f2430,plain,
( ~ sQ58_spl
| op(e2,e3) = e1 ),
inference(backward_demodulation,[status(thm)],[f788,f348]) ).
fof(f2439,plain,
( ~ sQ81_spl
| op(e3,e1) = e1 ),
inference(backward_demodulation,[status(thm)],[f862,f353]) ).
fof(f2446,plain,
( ~ sQ62_spl
| ~ sQ60_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f795,f801]) ).
fof(f2447,plain,
( ~ sQ62_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2446,f328]) ).
fof(f2448,plain,
( ~ sQ62_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f2447]) ).
fof(f2451,plain,
( ~ sQ0_spl
| e0 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f603,f277]) ).
fof(f2457,plain,
( ~ sQ0_spl
| e0 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f603,f228]) ).
fof(f2458,plain,
( ~ sQ0_spl
| e0 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f603,f278]) ).
fof(f2465,plain,
( ~ sQ50_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f763,f2457]) ).
fof(f2466,plain,
( ~ sQ50_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f2465]) ).
fof(f2467,plain,
( ~ sQ78_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f1675,f890,f851]) ).
fof(f2483,plain,
( ~ sQ114_spl
| op(e4,e4) = e2 ),
inference(backward_demodulation,[status(thm)],[f967,f359]) ).
fof(f2532,plain,
( ~ sQ118_spl
| op(e3,op(e3,e4)) = e3 ),
inference(forward_demodulation,[status(thm)],[f980,f221]) ).
fof(f2533,plain,
( ~ sQ118_spl
| e4 = e3 ),
inference(forward_demodulation,[status(thm)],[f356,f2532]) ).
fof(f2534,plain,
( ~ sQ118_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2533,f336]) ).
fof(f2535,plain,
~ sQ118_spl,
inference(contradiction_clause,[status(thm)],[f2534]) ).
fof(f2572,plain,
( sQ179_spl
| ~ sQ117_spl
| e1 != op(e2,e4) ),
inference(forward_demodulation,[status(thm)],[f977,f1253]) ).
fof(f2575,plain,
( ~ sQ117_spl
| op(e4,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f977,f360]) ).
fof(f2577,plain,
( ~ sQ117_spl
| op(e0,e3) != e2 ),
inference(forward_demodulation,[status(thm)],[f977,f260]) ).
fof(f2579,plain,
( ~ sQ117_spl
| op(e4,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f2575,f321]) ).
fof(f2584,plain,
( ~ sQ105_spl
| op(e4,e0) = e1 ),
inference(backward_demodulation,[status(thm)],[f939,f358]) ).
fof(f2594,plain,
( ~ sQ69_spl
| op(e0,e4) != e3 ),
inference(backward_demodulation,[status(thm)],[f2597,f268]) ).
fof(f2597,plain,
( ~ sQ69_spl
| op(e2,e4) = e3 ),
inference(forward_demodulation,[status(thm)],[f823,f350]) ).
fof(f2622,plain,
( ~ sQ79_spl
| op(e2,e0) != e4 ),
inference(forward_demodulation,[status(thm)],[f855,f234]) ).
fof(f2671,plain,
( ~ sQ30_spl
| op(e1,e0) = e1 ),
inference(backward_demodulation,[status(thm)],[f699,f343]) ).
fof(f2677,plain,
( ~ sQ117_spl
| op(e3,op(e2,e4)) = e2 ),
inference(forward_demodulation,[status(thm)],[f2575,f216]) ).
fof(f2678,plain,
( ~ sQ31_spl
| ~ sQ30_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f699,f702]) ).
fof(f2679,plain,
( ~ sQ31_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2678,f327]) ).
fof(f2680,plain,
( ~ sQ31_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f2679]) ).
fof(f2685,plain,
( ~ sQ95_spl
| op(e3,e0) = e4 ),
inference(backward_demodulation,[status(thm)],[f907,f356]) ).
fof(f2690,plain,
( ~ sQ58_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f2430,f813,f787]) ).
fof(f2703,plain,
( ~ sQ72_spl
| op(e2,e2) = e4 ),
inference(backward_demodulation,[status(thm)],[f833,f351]) ).
fof(f2733,plain,
( ~ sQ2_spl
| op(e2,op(e0,e0)) = e0 ),
inference(forward_demodulation,[status(thm)],[f609,f202]) ).
fof(f2734,plain,
( ~ sQ2_spl
| op(e2,e2) = e0 ),
inference(forward_demodulation,[status(thm)],[f609,f2733]) ).
fof(f2735,plain,
( ~ sQ2_spl
| sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2734,f796]) ).
fof(f2736,plain,
( ~ sQ2_spl
| sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f2735]) ).
fof(f2737,plain,
( ~ sQ119_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f1933,f995,f982]) ).
fof(f2765,plain,
( ~ sQ79_spl
| op(e3,e4) = e0 ),
inference(forward_demodulation,[status(thm)],[f855,f352]) ).
fof(f2781,plain,
( ~ sQ95_spl
| op(e3,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f907,f313]) ).
fof(f2782,plain,
( ~ sQ105_spl
| op(e3,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f939,f246]) ).
fof(f2783,plain,
( ~ sQ79_spl
| e4 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f855,f307]) ).
fof(f2787,plain,
( ~ sQ103_spl
| op(e2,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f932,f235]) ).
fof(f2788,plain,
( ~ sQ103_spl
| op(e4,e3) = e0 ),
inference(backward_demodulation,[status(thm)],[f932,f357]) ).
fof(f2809,plain,
( ~ sQ43_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f353,f1656]) ).
fof(f2810,plain,
( ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2809,f332]) ).
fof(f2811,plain,
~ sQ43_spl,
inference(contradiction_clause,[status(thm)],[f2810]) ).
fof(f2818,plain,
( ~ sQ81_spl
| op(e3,e1) = e1 ),
inference(backward_demodulation,[status(thm)],[f2439,f353]) ).
fof(f2851,plain,
( ~ sQ75_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f340,f1985]) ).
fof(f2852,plain,
( ~ sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2851,f329]) ).
fof(f2853,plain,
~ sQ75_spl,
inference(contradiction_clause,[status(thm)],[f2852]) ).
fof(f2863,plain,
( ~ sQ112_spl
| op(e1,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f961,f253]) ).
fof(f2864,plain,
( ~ sQ112_spl
| op(e4,e2) = e2 ),
inference(backward_demodulation,[status(thm)],[f961,f359]) ).
fof(f2867,plain,
( ~ sQ112_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f1834,f800,f960]) ).
fof(f2870,plain,
( sQ190_spl
| ~ sQ23_spl
| ~ sQ79_spl
| e3 != op(e0,e4) ),
inference(forward_demodulation,[status(thm)],[f855,f2294]) ).
fof(f2871,plain,
( sQ190_spl
| ~ sQ23_spl
| ~ sQ79_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f676,f2870]) ).
fof(f2872,plain,
( sQ190_spl
| ~ sQ23_spl
| ~ sQ79_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2871]) ).
fof(f2873,plain,
( sQ190_spl
| ~ sQ23_spl
| ~ sQ79_spl ),
inference(contradiction_clause,[status(thm)],[f2872]) ).
fof(f2878,plain,
( ~ sQ95_spl
| op(e1,e4) != e0 ),
inference(forward_demodulation,[status(thm)],[f907,f272]) ).
fof(f2901,plain,
( ~ sQ45_spl
| ~ sQ95_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f747,f2878]) ).
fof(f2902,plain,
( ~ sQ45_spl
| ~ sQ95_spl ),
inference(contradiction_clause,[status(thm)],[f2901]) ).
fof(f2903,plain,
( ~ sQ29_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f2179,f746,f694]) ).
fof(f2932,plain,
( ~ sQ90_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f1957,f611,f890]) ).
fof(f2979,plain,
( ~ sQ116_spl
| op(e1,op(e3,e4)) = e3 ),
inference(backward_demodulation,[status(thm)],[f974,f221]) ).
fof(f2982,plain,
( ~ sQ116_spl
| op(e4,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f974,f324]) ).
fof(f2988,plain,
( ~ sQ116_spl
| op(e4,e1) = e3 ),
inference(backward_demodulation,[status(thm)],[f974,f360]) ).
fof(f3022,plain,
( ~ sQ41_spl
| op(e1,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f734,f345]) ).
fof(f3025,plain,
( ~ sQ64_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f1700,f832,f806]) ).
fof(f3038,plain,
( ~ sQ31_spl
| ~ sQ41_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f3022,f702]) ).
fof(f3039,plain,
( ~ sQ31_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3038,f332]) ).
fof(f3040,plain,
( ~ sQ31_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f3039]) ).
fof(f3049,plain,
( ~ sQ11_spl
| op(e0,e1) = e2 ),
inference(backward_demodulation,[status(thm)],[f638,f339]) ).
fof(f3057,plain,
( ~ sQ11_spl
| e1 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f638,f284]) ).
fof(f3082,plain,
( ~ sQ18_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f1662,f352]) ).
fof(f3083,plain,
( ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3082,f329]) ).
fof(f3084,plain,
~ sQ18_spl,
inference(contradiction_clause,[status(thm)],[f3083]) ).
fof(f3093,plain,
( ~ sQ111_spl
| op(e4,e1) = e2 ),
inference(backward_demodulation,[status(thm)],[f958,f359]) ).
fof(f3097,plain,
( sQ227_spl
| ~ sQ111_spl
| e3 != op(e1,e4) ),
inference(backward_demodulation,[status(thm)],[f958,f1445]) ).
fof(f3098,plain,
( sQ173_spl
| ~ sQ111_spl
| e0 != op(e4,op(e1,e4)) ),
inference(backward_demodulation,[status(thm)],[f958,f1229]) ).
fof(f3107,plain,
( ~ sQ116_spl
| ~ sQ111_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f958,f2982]) ).
fof(f3108,plain,
( ~ sQ116_spl
| ~ sQ111_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3107]) ).
fof(f3109,plain,
( ~ sQ116_spl
| ~ sQ111_spl ),
inference(contradiction_clause,[status(thm)],[f3108]) ).
fof(f3126,plain,
( ~ sQ79_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f2622,f774,f854]) ).
fof(f3127,plain,
( ~ sQ79_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f2783,f870,f854]) ).
fof(f3133,plain,
( sQ186_spl
| ~ sQ79_spl
| e1 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f2765,f1280]) ).
fof(f3134,plain,
( sQ158_spl
| ~ sQ79_spl
| e2 != op(e3,op(e0,e3)) ),
inference(backward_demodulation,[status(thm)],[f2765,f1174]) ).
fof(f3137,plain,
( sQ155_spl
| ~ sQ79_spl
| e1 != op(e3,op(e0,e3)) ),
inference(backward_demodulation,[status(thm)],[f2765,f1163]) ).
fof(f3138,plain,
( ~ sQ79_spl
| op(e3,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f2765,f315]) ).
fof(f3142,plain,
( ~ sQ79_spl
| op(e1,e4) != e0 ),
inference(backward_demodulation,[status(thm)],[f2765,f272]) ).
fof(f3144,plain,
( ~ sQ22_spl
| op(e0,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f673,f283]) ).
fof(f3167,plain,
( ~ sQ70_spl
| op(e2,e0) = e4 ),
inference(backward_demodulation,[status(thm)],[f827,f351]) ).
fof(f3176,plain,
( ~ sQ70_spl
| op(e2,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f827,f306]) ).
fof(f3186,plain,
( ~ sQ8_spl
| op(e0,e3) = e1 ),
inference(backward_demodulation,[status(thm)],[f628,f338]) ).
fof(f3192,plain,
( ~ sQ8_spl
| e3 != op(e4,e1) ),
inference(backward_demodulation,[status(thm)],[f628,f240]) ).
fof(f3209,plain,
( ~ sQ9_spl
| ~ sQ8_spl
| e3 = e4 ),
inference(forward_demodulation,[status(thm)],[f628,f631]) ).
fof(f3210,plain,
( ~ sQ9_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3209,f336]) ).
fof(f3211,plain,
( ~ sQ9_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f3210]) ).
fof(f3213,plain,
( ~ sQ124_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f1536,f934,f998]) ).
fof(f3216,plain,
( ~ sQ6_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f342,f1754]) ).
fof(f3217,plain,
( ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3216,f327]) ).
fof(f3218,plain,
~ sQ6_spl,
inference(contradiction_clause,[status(thm)],[f3217]) ).
fof(f3219,plain,
( ~ sQ52_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f1724,f794,f768]) ).
fof(f3232,plain,
( ~ sQ0_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f2451,f618,f602]) ).
fof(f3321,plain,
( ~ sQ110_spl
| op(e4,e0) = e2 ),
inference(backward_demodulation,[status(thm)],[f955,f359]) ).
fof(f3325,plain,
( ~ sQ115_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f2272,f954,f970]) ).
fof(f3354,plain,
( ~ sQ45_spl
| op(e1,e0) = e4 ),
inference(backward_demodulation,[status(thm)],[f747,f346]) ).
fof(f3367,plain,
( ~ sQ76_spl
| e1 != op(e3,e4) ),
inference(backward_demodulation,[status(thm)],[f846,f310]) ).
fof(f3368,plain,
( ~ sQ76_spl
| op(e2,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f846,f234]) ).
fof(f3370,plain,
( sQ191_spl
| ~ sQ76_spl
| e2 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f846,f1300]) ).
fof(f3376,plain,
( ~ sQ76_spl
| op(e3,e1) = e0 ),
inference(backward_demodulation,[status(thm)],[f846,f352]) ).
fof(f3379,plain,
( ~ sQ45_spl
| op(e1,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f747,f296]) ).
fof(f3386,plain,
( ~ sQ93_spl
| op(e3,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f900,f314]) ).
fof(f3399,plain,
( ~ sQ13_spl
| op(e0,e3) = e2 ),
inference(backward_demodulation,[status(thm)],[f644,f339]) ).
fof(f3404,plain,
( ~ sQ84_spl
| op(e4,op(e1,e3)) = e1 ),
inference(backward_demodulation,[status(thm)],[f871,f210]) ).
fof(f3415,plain,
( ~ sQ84_spl
| op(e3,e4) = e1 ),
inference(backward_demodulation,[status(thm)],[f871,f353]) ).
fof(f3420,plain,
( ~ sQ96_spl
| op(e2,e4) != e1 ),
inference(backward_demodulation,[status(thm)],[f910,f274]) ).
fof(f3428,plain,
( ~ sQ96_spl
| op(e3,e1) = e4 ),
inference(backward_demodulation,[status(thm)],[f910,f356]) ).
fof(f3453,plain,
( ~ sQ24_spl
| e0 = e4 ),
inference(forward_demodulation,[status(thm)],[f357,f1574]) ).
fof(f3454,plain,
( ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3453,f330]) ).
fof(f3455,plain,
~ sQ24_spl,
inference(contradiction_clause,[status(thm)],[f3454]) ).
fof(f3456,plain,
( ~ sQ29_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f2180,f774,f694]) ).
fof(f3473,plain,
( ~ sQ29_spl
| op(e1,e4) = e0 ),
inference(backward_demodulation,[status(thm)],[f695,f342]) ).
fof(f3488,plain,
( ~ sQ61_spl
| op(e1,op(e2,e2)) = e2 ),
inference(forward_demodulation,[status(thm)],[f798,f214]) ).
fof(f3498,plain,
( ~ sQ61_spl
| op(e1,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f798,f3488]) ).
fof(f3532,plain,
( sQ32_spl
| ~ sQ61_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f3498,f706]) ).
fof(f3533,plain,
( sQ32_spl
| ~ sQ61_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3532]) ).
fof(f3534,plain,
( sQ32_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f3533]) ).
fof(f3539,plain,
( ~ sQ110_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f3321,f928,f954]) ).
fof(f3546,plain,
( ~ sQ8_spl
| ~ sQ15_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f651,f3186]) ).
fof(f3547,plain,
( ~ sQ8_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3546,f327]) ).
fof(f3548,plain,
( ~ sQ8_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f3547]) ).
fof(f3557,plain,
( ~ sQ3_spl
| op(e3,op(e0,e0)) = e0 ),
inference(forward_demodulation,[status(thm)],[f612,f202]) ).
fof(f3558,plain,
( ~ sQ3_spl
| op(e3,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f612,f3557]) ).
fof(f3559,plain,
( ~ sQ3_spl
| ~ sQ93_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f900,f3558]) ).
fof(f3560,plain,
( ~ sQ3_spl
| ~ sQ93_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3559,f329]) ).
fof(f3561,plain,
( ~ sQ3_spl
| ~ sQ93_spl ),
inference(contradiction_clause,[status(thm)],[f3560]) ).
fof(f3562,plain,
( ~ sQ70_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f3167,f774,f826]) ).
fof(f3563,plain,
( ~ sQ70_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f3176,f810,f826]) ).
fof(f3577,plain,
( ~ sQ116_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f2988,f947,f973]) ).
fof(f3579,plain,
( ~ sQ116_spl
| op(e4,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f974,f322]) ).
fof(f3589,plain,
( ~ sQ124_spl
| op(e4,e4) = e4 ),
inference(backward_demodulation,[status(thm)],[f1532,f361]) ).
fof(f3597,plain,
( ~ sQ124_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f1535,f950,f998]) ).
fof(f3620,plain,
( ~ sQ30_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f2671,f685,f698]) ).
fof(f3668,plain,
( ~ sQ86_spl
| op(e0,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f878,f249]) ).
fof(f3672,plain,
( sQ134_spl
| ~ sQ86_spl
| e0 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f878,f1087]) ).
fof(f3707,plain,
( ~ sQ112_spl
| op(e4,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f2864,f318]) ).
fof(f3708,plain,
( ~ sQ112_spl
| op(e4,e2) = e2 ),
inference(backward_demodulation,[status(thm)],[f2864,f359]) ).
fof(f3749,plain,
( ~ sQ7_spl
| op(e0,e2) = e1 ),
inference(backward_demodulation,[status(thm)],[f625,f338]) ).
fof(f3757,plain,
( ~ sQ79_spl
| op(e3,e4) = e0 ),
inference(backward_demodulation,[status(thm)],[f855,f352]) ).
fof(f3760,plain,
( sQ162_spl
| ~ sQ79_spl
| e2 != op(e3,op(e4,e3)) ),
inference(backward_demodulation,[status(thm)],[f855,f1189]) ).
fof(f3761,plain,
( sQ192_spl
| ~ sQ79_spl
| e1 != op(e3,op(e4,e3)) ),
inference(backward_demodulation,[status(thm)],[f855,f1303]) ).
fof(f3769,plain,
( sQ186_spl
| ~ sQ79_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f3133,f653,f854,f1278]) ).
fof(f3770,plain,
( ~ sQ79_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f3138,f874,f854]) ).
fof(f3771,plain,
( ~ sQ79_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f3142,f746,f854]) ).
fof(f3772,plain,
( ~ sQ79_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f2765,f906,f854]) ).
fof(f3777,plain,
( ~ sQ60_spl
| op(e1,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f795,f251]) ).
fof(f3778,plain,
( ~ sQ60_spl
| op(e2,e0) = e2 ),
inference(backward_demodulation,[status(thm)],[f795,f349]) ).
fof(f3779,plain,
( ~ sQ60_spl
| op(e0,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f795,f248]) ).
fof(f3792,plain,
( ~ sQ23_spl
| op(e0,e3) = e4 ),
inference(backward_demodulation,[status(thm)],[f676,f341]) ).
fof(f3810,plain,
( ~ sQ12_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f347,f1718]) ).
fof(f3811,plain,
( ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3810,f328]) ).
fof(f3812,plain,
~ sQ12_spl,
inference(contradiction_clause,[status(thm)],[f3811]) ).
fof(f3889,plain,
( ~ sQ83_spl
| op(e1,op(e3,e3)) = e3 ),
inference(forward_demodulation,[status(thm)],[f1670,f220]) ).
fof(f3890,plain,
( ~ sQ83_spl
| op(e1,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f1670,f3889]) ).
fof(f3891,plain,
( ~ sQ83_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3890,f1673]) ).
fof(f3892,plain,
~ sQ83_spl,
inference(contradiction_clause,[status(thm)],[f3891]) ).
fof(f3903,plain,
( ~ sQ28_spl
| op(e1,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f692,f342]) ).
fof(f3909,plain,
( ~ sQ28_spl
| e3 != op(e4,e0) ),
inference(forward_demodulation,[status(thm)],[f692,f233]) ).
fof(f3932,plain,
( ~ sQ114_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f2483,f992,f966]) ).
fof(f3952,plain,
( ~ sQ71_spl
| op(e2,e1) = e4 ),
inference(backward_demodulation,[status(thm)],[f830,f351]) ).
fof(f3960,plain,
( ~ sQ71_spl
| op(e2,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f830,f306]) ).
fof(f3967,plain,
( ~ sQ45_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f3354,f694,f746]) ).
fof(f4021,plain,
( ~ sQ49_spl
| e1 = e4 ),
inference(forward_demodulation,[status(thm)],[f358,f1567]) ).
fof(f4022,plain,
( ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4021,f333]) ).
fof(f4023,plain,
~ sQ49_spl,
inference(contradiction_clause,[status(thm)],[f4022]) ).
fof(f4030,plain,
( ~ sQ117_spl
| op(e4,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f977,f322]) ).
fof(f4039,plain,
( ~ sQ117_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f2577,f656,f976]) ).
fof(f4041,plain,
( sQ179_spl
| ~ sQ117_spl
| ~ sQ71_spl ),
inference(split_clause,[status(thm)],[f2572,f829,f976,f1251]) ).
fof(f4047,plain,
( ~ sQ117_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f2579,f947,f976]) ).
fof(f4050,plain,
( ~ sQ60_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f3777,f714,f794]) ).
fof(f4053,plain,
( ~ sQ60_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f3779,f634,f794]) ).
fof(f4061,plain,
( ~ sQ54_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f2263,f826,f774]) ).
fof(f4062,plain,
( ~ sQ54_spl
| ~ sQ60_spl
| e2 = e4 ),
inference(forward_demodulation,[status(thm)],[f3778,f775]) ).
fof(f4063,plain,
( ~ sQ54_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4062,f335]) ).
fof(f4064,plain,
( ~ sQ54_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f4063]) ).
fof(f4079,plain,
( ~ sQ112_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f3707,f928,f960]) ).
fof(f4080,plain,
( ~ sQ13_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f3399,f656,f643]) ).
fof(f4091,plain,
( ~ sQ13_spl
| op(e0,e3) = e2 ),
inference(backward_demodulation,[status(thm)],[f644,f339]) ).
fof(f4096,plain,
( ~ sQ28_spl
| e3 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f692,f288]) ).
fof(f4097,plain,
( ~ sQ28_spl
| op(e1,e3) = e0 ),
inference(backward_demodulation,[status(thm)],[f692,f342]) ).
fof(f4109,plain,
( ~ sQ28_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f3903,f730,f691]) ).
fof(f4111,plain,
( ~ sQ28_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f3909,f931,f691]) ).
fof(f4146,plain,
( ~ sQ112_spl
| op(e2,op(e2,e4)) = e2 ),
inference(forward_demodulation,[status(thm)],[f3708,f216]) ).
fof(f4147,plain,
( ~ sQ112_spl
| op(op(e2,e4),e2) = e4 ),
inference(forward_demodulation,[status(thm)],[f3708,f224]) ).
fof(f4188,plain,
( ~ sQ76_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f3368,f765,f845]) ).
fof(f4201,plain,
( sQ126_spl
| ~ sQ76_spl
| e2 != op(e3,op(e0,e3)) ),
inference(backward_demodulation,[status(thm)],[f3376,f1057]) ).
fof(f4206,plain,
( ~ sQ76_spl
| op(e3,e0) = e1 ),
inference(backward_demodulation,[status(thm)],[f3376,f353]) ).
fof(f4224,plain,
( ~ sQ4_spl
| op(e4,e4) = e0 ),
inference(backward_demodulation,[status(thm)],[f615,f1765]) ).
fof(f4250,plain,
( ~ sQ93_spl
| op(op(e3,e3),e3) = e3 ),
inference(backward_demodulation,[status(thm)],[f900,f220]) ).
fof(f4253,plain,
( ~ sQ93_spl
| op(e3,e3) = e3 ),
inference(backward_demodulation,[status(thm)],[f900,f355]) ).
fof(f4316,plain,
( ~ sQ72_spl
| op(e4,op(e2,e2)) = e2 ),
inference(forward_demodulation,[status(thm)],[f2703,f214]) ).
fof(f4317,plain,
( ~ sQ72_spl
| op(e4,e4) = e2 ),
inference(forward_demodulation,[status(thm)],[f2703,f4316]) ).
fof(f4318,plain,
( ~ sQ72_spl
| ~ sQ124_spl
| e4 = e2 ),
inference(forward_demodulation,[status(thm)],[f3589,f4317]) ).
fof(f4319,plain,
( ~ sQ72_spl
| ~ sQ124_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4318,f335]) ).
fof(f4320,plain,
( ~ sQ72_spl
| ~ sQ124_spl ),
inference(contradiction_clause,[status(thm)],[f4319]) ).
fof(f4322,plain,
( ~ sQ105_spl
| op(e2,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f2584,f235]) ).
fof(f4349,plain,
( ~ sQ105_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f2782,f858,f938]) ).
fof(f4368,plain,
( ~ sQ34_spl
| op(op(e1,e1),e4) = e1 ),
inference(backward_demodulation,[status(thm)],[f711,f208]) ).
fof(f4373,plain,
( ~ sQ77_spl
| op(e0,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f849,f229]) ).
fof(f4397,plain,
( ~ sQ77_spl
| op(e3,e2) = e0 ),
inference(forward_demodulation,[status(thm)],[f849,f352]) ).
fof(f4399,plain,
( ~ sQ77_spl
| op(e3,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f4397,f311]) ).
fof(f4404,plain,
( ~ sQ68_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f354,f1649]) ).
fof(f4405,plain,
( ~ sQ68_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4404,f334]) ).
fof(f4406,plain,
~ sQ68_spl,
inference(contradiction_clause,[status(thm)],[f4405]) ).
fof(f4410,plain,
( ~ sQ95_spl
| sQ79_spl ),
inference(split_clause,[status(thm)],[f2685,f854,f906]) ).
fof(f4420,plain,
( sQ212_spl
| ~ sQ95_spl
| e2 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f907,f1382]) ).
fof(f4424,plain,
( ~ sQ95_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f2781,f858,f906]) ).
fof(f4461,plain,
( ~ sQ34_spl
| op(e4,e4) = e1 ),
inference(forward_demodulation,[status(thm)],[f711,f4368]) ).
fof(f4462,plain,
( ~ sQ34_spl
| ~ sQ124_spl
| e4 = e1 ),
inference(forward_demodulation,[status(thm)],[f3589,f4461]) ).
fof(f4463,plain,
( ~ sQ34_spl
| ~ sQ124_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4462,f333]) ).
fof(f4464,plain,
( ~ sQ34_spl
| ~ sQ124_spl ),
inference(contradiction_clause,[status(thm)],[f4463]) ).
fof(f4465,plain,
( ~ sQ8_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f3192,f947,f627]) ).
fof(f4478,plain,
( ~ sQ8_spl
| op(e0,e3) = e1 ),
inference(backward_demodulation,[status(thm)],[f628,f338]) ).
fof(f4481,plain,
( ~ sQ8_spl
| e1 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f3186,f258]) ).
fof(f4485,plain,
( sQ244_spl
| ~ sQ8_spl
| e4 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f3186,f1527]) ).
fof(f4496,plain,
( ~ sQ76_spl
| ~ sQ96_spl ),
inference(split_clause,[status(thm)],[f3367,f909,f845]) ).
fof(f4497,plain,
( sQ191_spl
| ~ sQ76_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f3370,f736,f845,f1298]) ).
fof(f4530,plain,
( ~ sQ93_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f3386,f883,f899]) ).
fof(f4532,plain,
( ~ sQ93_spl
| ~ sQ92_spl
| op(e2,e3) = e3 ),
inference(forward_demodulation,[status(thm)],[f897,f4250]) ).
fof(f4533,plain,
( ~ sQ93_spl
| ~ sQ92_spl
| sQ68_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4532,f821]) ).
fof(f4534,plain,
( ~ sQ93_spl
| ~ sQ92_spl
| sQ68_spl ),
inference(contradiction_clause,[status(thm)],[f4533]) ).
fof(f4546,plain,
( ~ sQ53_spl
| op(e2,e3) = e0 ),
inference(backward_demodulation,[status(thm)],[f772,f347]) ).
fof(f4549,plain,
( sQ216_spl
| ~ sQ53_spl
| e1 != op(e2,op(e3,e2)) ),
inference(backward_demodulation,[status(thm)],[f772,f1399]) ).
fof(f4550,plain,
( sQ233_spl
| ~ sQ53_spl
| e4 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f772,f1474]) ).
fof(f4576,plain,
( ~ sQ4_spl
| ~ sQ124_spl
| e4 = e0 ),
inference(forward_demodulation,[status(thm)],[f3589,f4224]) ).
fof(f4577,plain,
( ~ sQ4_spl
| ~ sQ124_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4576,f330]) ).
fof(f4578,plain,
( ~ sQ4_spl
| ~ sQ124_spl ),
inference(contradiction_clause,[status(thm)],[f4577]) ).
fof(f4586,plain,
( ~ sQ19_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f2327,f643,f662]) ).
fof(f4587,plain,
( ~ sQ111_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f3093,f944,f957]) ).
fof(f4608,plain,
( ~ sQ115_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f2279,f931,f970]) ).
fof(f4649,plain,
( ~ sQ122_spl
| ~ sQ124_spl
| e4 = e2 ),
inference(forward_demodulation,[status(thm)],[f3589,f993]) ).
fof(f4650,plain,
( ~ sQ122_spl
| ~ sQ124_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4649,f335]) ).
fof(f4651,plain,
( ~ sQ122_spl
| ~ sQ124_spl ),
inference(contradiction_clause,[status(thm)],[f4650]) ).
fof(f4660,plain,
( ~ sQ57_spl
| ~ sQ71_spl
| e4 = e2 ),
inference(forward_demodulation,[status(thm)],[f3952,f785]) ).
fof(f4661,plain,
( ~ sQ57_spl
| ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4660,f335]) ).
fof(f4662,plain,
( ~ sQ57_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f4661]) ).
fof(f4677,plain,
( ~ sQ48_spl
| op(op(e4,e1),e3) = e1 ),
inference(backward_demodulation,[status(thm)],[f756,f211]) ).
fof(f4709,plain,
( ~ sQ67_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f1964,f656,f816]) ).
fof(f4711,plain,
( ~ sQ67_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f1968,f800,f816]) ).
fof(f4712,plain,
( ~ sQ67_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f1969,f803,f816]) ).
fof(f4723,plain,
( ~ sQ67_spl
| e2 != op(e4,e3) ),
inference(backward_demodulation,[status(thm)],[f817,f265]) ).
fof(f4726,plain,
( ~ sQ103_spl
| op(e0,op(e3,e4)) = e3 ),
inference(backward_demodulation,[status(thm)],[f2788,f221]) ).
fof(f4727,plain,
( ~ sQ103_spl
| op(op(e3,e4),e0) = e4 ),
inference(backward_demodulation,[status(thm)],[f2788,f225]) ).
fof(f4729,plain,
( ~ sQ103_spl
| op(e4,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f2788,f322]) ).
fof(f4733,plain,
( ~ sQ103_spl
| op(e4,e0) = e3 ),
inference(backward_demodulation,[status(thm)],[f2788,f360]) ).
fof(f4771,plain,
( sQ173_spl
| ~ sQ111_spl
| ~ sQ48_spl
| e0 != op(e4,e3) ),
inference(forward_demodulation,[status(thm)],[f756,f3098]) ).
fof(f4772,plain,
( sQ173_spl
| ~ sQ111_spl
| ~ sQ48_spl
| ~ sQ103_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f2788,f4771]) ).
fof(f4773,plain,
( sQ173_spl
| ~ sQ111_spl
| ~ sQ48_spl
| ~ sQ103_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4772]) ).
fof(f4774,plain,
( sQ173_spl
| ~ sQ111_spl
| ~ sQ48_spl
| ~ sQ103_spl ),
inference(contradiction_clause,[status(thm)],[f4773]) ).
fof(f4827,plain,
( ~ sQ67_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f4723,f976,f816]) ).
fof(f4866,plain,
( sQ158_spl
| ~ sQ79_spl
| ~ sQ8_spl
| e2 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f4478,f3134]) ).
fof(f4905,plain,
( ~ sQ28_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f4096,f723,f691]) ).
fof(f4906,plain,
( ~ sQ28_spl
| ~ sQ44_spl
| e4 = e0 ),
inference(forward_demodulation,[status(thm)],[f743,f4097]) ).
fof(f4907,plain,
( ~ sQ28_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4906,f330]) ).
fof(f4908,plain,
( ~ sQ28_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f4907]) ).
fof(f4910,plain,
( sQ212_spl
| ~ sQ95_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f4420,f656,f906,f1380]) ).
fof(f4938,plain,
( ~ sQ81_spl
| op(e1,op(e1,e3)) = e1 ),
inference(forward_demodulation,[status(thm)],[f2818,f210]) ).
fof(f4940,plain,
( ~ sQ81_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f4938,f345]) ).
fof(f4941,plain,
( ~ sQ81_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4940,f332]) ).
fof(f4942,plain,
~ sQ81_spl,
inference(contradiction_clause,[status(thm)],[f4941]) ).
fof(f4947,plain,
( ~ sQ0_spl
| e0 != op(e4,e0) ),
inference(forward_demodulation,[status(thm)],[f603,f230]) ).
fof(f4963,plain,
( ~ sQ103_spl
| ~ sQ79_spl
| op(e0,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f3757,f4726]) ).
fof(f4964,plain,
( ~ sQ103_spl
| ~ sQ79_spl
| ~ sQ0_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f603,f4963]) ).
fof(f4965,plain,
( ~ sQ103_spl
| ~ sQ79_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4964,f329]) ).
fof(f4966,plain,
( ~ sQ103_spl
| ~ sQ79_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f4965]) ).
fof(f4968,plain,
( ~ sQ103_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f4729,f938,f931]) ).
fof(f5023,plain,
( ~ sQ39_spl
| op(e0,e2) != e4 ),
inference(forward_demodulation,[status(thm)],[f727,f247]) ).
fof(f5028,plain,
( sQ225_spl
| ~ sQ39_spl
| e3 != op(e4,e1) ),
inference(forward_demodulation,[status(thm)],[f727,f1438]) ).
fof(f5037,plain,
( sQ230_spl
| ~ sQ39_spl
| e3 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f5044,f1459]) ).
fof(f5040,plain,
( ~ sQ39_spl
| op(e1,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f5044,f296]) ).
fof(f5044,plain,
( ~ sQ39_spl
| op(e1,e4) = e2 ),
inference(forward_demodulation,[status(thm)],[f727,f344]) ).
fof(f5057,plain,
( ~ sQ73_spl
| op(e2,e3) = e4 ),
inference(backward_demodulation,[status(thm)],[f836,f351]) ).
fof(f5059,plain,
( ~ sQ73_spl
| op(e2,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f836,f300]) ).
fof(f5068,plain,
( ~ sQ9_spl
| op(e0,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f2166,f285]) ).
fof(f5100,plain,
( ~ sQ69_spl
| op(e2,e0) != e4 ),
inference(backward_demodulation,[status(thm)],[f823,f299]) ).
fof(f5104,plain,
( ~ sQ69_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f2594,f675,f822]) ).
fof(f5116,plain,
( ~ sQ82_spl
| op(e3,e2) = e1 ),
inference(backward_demodulation,[status(thm)],[f865,f353]) ).
fof(f5120,plain,
( ~ sQ82_spl
| op(e2,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f865,f244]) ).
fof(f5123,plain,
( ~ sQ105_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f4322,f765,f938]) ).
fof(f5149,plain,
( ~ sQ117_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f4030,f944,f976]) ).
fof(f5171,plain,
( sQ192_spl
| ~ sQ79_spl
| ~ sQ191_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f5185,f3761]) ).
fof(f5185,plain,
( ~ sQ191_spl
| ~ sQ79_spl
| e2 = op(e4,e3) ),
inference(forward_demodulation,[status(thm)],[f855,f1299]) ).
fof(f5187,plain,
( sQ230_spl
| ~ sQ39_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f5037,f787,f726,f1457]) ).
fof(f5189,plain,
( ~ sQ39_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f5040,f736,f726]) ).
fof(f5191,plain,
( ~ sQ73_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f5057,f822,f835]) ).
fof(f5193,plain,
( ~ sQ73_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f5059,f771,f835]) ).
fof(f5210,plain,
( ~ sQ82_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f5120,f784,f864]) ).
fof(f5215,plain,
( ~ sQ103_spl
| e3 != op(e4,e1) ),
inference(backward_demodulation,[status(thm)],[f932,f317]) ).
fof(f5225,plain,
( ~ sQ103_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f2787,f771,f931]) ).
fof(f5226,plain,
( ~ sQ103_spl
| ~ sQ79_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f4963,f611,f854,f931]) ).
fof(f5245,plain,
( sQ181_spl
| ~ sQ19_spl
| e1 != op(e4,e0) ),
inference(backward_demodulation,[status(thm)],[f663,f1260]) ).
fof(f5249,plain,
( ~ sQ19_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2328,f627,f662]) ).
fof(f5250,plain,
( ~ sQ19_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f2331,f675,f662]) ).
fof(f5260,plain,
( ~ sQ86_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f3668,f637,f877]) ).
fof(f5262,plain,
( sQ134_spl
| ~ sQ86_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f3672,f730,f877,f1085]) ).
fof(f5274,plain,
( ~ sQ59_spl
| op(e2,e4) = e1 ),
inference(backward_demodulation,[status(thm)],[f791,f348]) ).
fof(f5283,plain,
( ~ sQ112_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f2863,f720,f960]) ).
fof(f5300,plain,
( ~ sQ112_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f1821,f976,f960]) ).
fof(f5302,plain,
( ~ sQ112_spl
| ~ sQ73_spl
| op(e2,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f836,f4146]) ).
fof(f5303,plain,
( ~ sQ112_spl
| ~ sQ73_spl
| sQ67_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5302,f818]) ).
fof(f5304,plain,
( ~ sQ112_spl
| ~ sQ73_spl
| sQ67_spl ),
inference(contradiction_clause,[status(thm)],[f5303]) ).
fof(f5306,plain,
( sQ228_spl
| ~ sQ11_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f2045,f691,f637,f1447]) ).
fof(f5307,plain,
( sQ241_spl
| ~ sQ11_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f2048,f694,f637,f1510]) ).
fof(f5308,plain,
( ~ sQ11_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f3049,f624,f637]) ).
fof(f5311,plain,
( ~ sQ11_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f3057,f653,f637]) ).
fof(f5324,plain,
( sQ175_spl
| ~ sQ11_spl
| e3 != op(e0,op(e1,e0)) ),
inference(backward_demodulation,[status(thm)],[f638,f1236]) ).
fof(f5345,plain,
( sQ244_spl
| ~ sQ8_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f4485,f694,f627,f1525]) ).
fof(f5385,plain,
( ~ sQ117_spl
| ~ sQ73_spl
| op(e3,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f836,f2677]) ).
fof(f5386,plain,
( ~ sQ117_spl
| ~ sQ73_spl
| ~ sQ93_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f4253,f5385]) ).
fof(f5387,plain,
( ~ sQ117_spl
| ~ sQ73_spl
| ~ sQ93_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5386,f334]) ).
fof(f5388,plain,
( ~ sQ117_spl
| ~ sQ73_spl
| ~ sQ93_spl ),
inference(contradiction_clause,[status(thm)],[f5387]) ).
fof(f5440,plain,
( ~ sQ29_spl
| op(e1,e0) = e4 ),
inference(backward_demodulation,[status(thm)],[f3473,f346]) ).
fof(f5450,plain,
( ~ sQ45_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f3379,f730,f746]) ).
fof(f5453,plain,
( ~ sQ96_spl
| ~ sQ71_spl ),
inference(split_clause,[status(thm)],[f3420,f829,f909]) ).
fof(f5469,plain,
( ~ sQ22_spl
| op(e0,e2) = e4 ),
inference(backward_demodulation,[status(thm)],[f673,f341]) ).
fof(f5481,plain,
( sQ182_spl
| ~ sQ16_spl
| ~ sQ29_spl
| e2 != op(e0,e4) ),
inference(forward_demodulation,[status(thm)],[f695,f2025]) ).
fof(f5482,plain,
( sQ182_spl
| ~ sQ16_spl
| ~ sQ29_spl
| ~ sQ22_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f673,f5481]) ).
fof(f5483,plain,
( sQ182_spl
| ~ sQ16_spl
| ~ sQ29_spl
| ~ sQ22_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5482]) ).
fof(f5484,plain,
( sQ182_spl
| ~ sQ16_spl
| ~ sQ29_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f5483]) ).
fof(f5515,plain,
( sQ169_spl
| ~ sQ77_spl
| e4 != op(e3,op(e2,e3)) ),
inference(backward_demodulation,[status(thm)],[f849,f1215]) ).
fof(f5519,plain,
( ~ sQ77_spl
| e2 != op(e4,e0) ),
inference(backward_demodulation,[status(thm)],[f849,f236]) ).
fof(f5522,plain,
( ~ sQ77_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f4373,f608,f848]) ).
fof(f5542,plain,
( ~ sQ77_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f4397,f874,f848]) ).
fof(f5543,plain,
( ~ sQ77_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f4399,f858,f848]) ).
fof(f5564,plain,
( ~ sQ14_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f2144,f726,f646]) ).
fof(f5653,plain,
( ~ sQ8_spl
| ~ sQ66_spl ),
inference(split_clause,[status(thm)],[f4481,f813,f627]) ).
fof(f5750,plain,
( ~ sQ103_spl
| ~ sQ96_spl
| op(e1,e0) = e4 ),
inference(forward_demodulation,[status(thm)],[f910,f4727]) ).
fof(f5782,plain,
( ~ sQ69_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f5100,f774,f822]) ).
fof(f5822,plain,
( ~ sQ20_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f1887,f614,f666]) ).
fof(f5830,plain,
( ~ sQ77_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f5519,f928,f848]) ).
fof(f5837,plain,
( ~ sQ47_spl
| op(e1,e2) = e4 ),
inference(forward_demodulation,[status(thm)],[f753,f346]) ).
fof(f5845,plain,
( ~ sQ47_spl
| op(e1,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f753,f293]) ).
fof(f5846,plain,
( ~ sQ103_spl
| ~ sQ96_spl
| e4 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f5750,f288]) ).
fof(f5847,plain,
( ~ sQ103_spl
| ~ sQ96_spl
| ~ sQ47_spl
| e4 != e4 ),
inference(forward_demodulation,[status(thm)],[f5837,f5846]) ).
fof(f5848,plain,
( ~ sQ103_spl
| ~ sQ96_spl
| ~ sQ47_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5847]) ).
fof(f5849,plain,
( ~ sQ103_spl
| ~ sQ96_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f5848]) ).
fof(f5856,plain,
( ~ sQ1_spl
| op(op(e0,e0),e1) = e0 ),
inference(backward_demodulation,[status(thm)],[f606,f202]) ).
fof(f5857,plain,
( ~ sQ1_spl
| op(e0,e1) = e0 ),
inference(backward_demodulation,[status(thm)],[f606,f337]) ).
fof(f5890,plain,
( ~ sQ17_spl
| op(e0,e2) = e3 ),
inference(backward_demodulation,[status(thm)],[f657,f340]) ).
fof(f5892,plain,
( ~ sQ17_spl
| op(e0,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f657,f282]) ).
fof(f5898,plain,
( sQ169_spl
| ~ sQ77_spl
| ~ sQ66_spl
| e4 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f814,f5515]) ).
fof(f5940,plain,
( ~ sQ38_spl
| op(e1,e3) = e2 ),
inference(backward_demodulation,[status(thm)],[f724,f344]) ).
fof(f5994,plain,
( ~ sQ96_spl
| op(e0,e4) != e1 ),
inference(forward_demodulation,[status(thm)],[f910,f269]) ).
fof(f5999,plain,
( ~ sQ22_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f5469,f646,f672]) ).
fof(f6013,plain,
( ~ sQ22_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f3144,f624,f672]) ).
fof(f6024,plain,
( ~ sQ1_spl
| op(e1,e1) = e0 ),
inference(forward_demodulation,[status(thm)],[f606,f5856]) ).
fof(f6031,plain,
( ~ sQ1_spl
| e0 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f5857,f237]) ).
fof(f6032,plain,
( ~ sQ1_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f6024,f6031]) ).
fof(f6033,plain,
( ~ sQ1_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6032]) ).
fof(f6034,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f6033]) ).
fof(f6126,plain,
( ~ sQ23_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f3792,f662,f675]) ).
fof(f6127,plain,
( ~ sQ23_spl
| op(op(e4,e0),e3) = e0 ),
inference(backward_demodulation,[status(thm)],[f676,f206]) ).
fof(f6130,plain,
( sQ213_spl
| ~ sQ23_spl
| ~ sQ77_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f849,f2293]) ).
fof(f6131,plain,
( sQ213_spl
| ~ sQ23_spl
| ~ sQ77_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6130]) ).
fof(f6132,plain,
( sQ213_spl
| ~ sQ23_spl
| ~ sQ77_spl ),
inference(contradiction_clause,[status(thm)],[f6131]) ).
fof(f6163,plain,
( sQ169_spl
| ~ sQ77_spl
| ~ sQ66_spl
| ~ sQ96_spl
| e4 != e4 ),
inference(forward_demodulation,[status(thm)],[f3428,f5898]) ).
fof(f6164,plain,
( sQ169_spl
| ~ sQ77_spl
| ~ sQ66_spl
| ~ sQ96_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6163]) ).
fof(f6165,plain,
( sQ169_spl
| ~ sQ77_spl
| ~ sQ66_spl
| ~ sQ96_spl ),
inference(contradiction_clause,[status(thm)],[f6164]) ).
fof(f6176,plain,
( sQ205_spl
| ~ sQ40_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f2011,f624,f730,f1352]) ).
fof(f6195,plain,
( ~ sQ7_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f3749,f637,f624]) ).
fof(f6198,plain,
( ~ sQ7_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f2076,f864,f624]) ).
fof(f6213,plain,
( ~ sQ96_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f5994,f669,f909]) ).
fof(f6238,plain,
( ~ sQ23_spl
| op(e0,e2) != e4 ),
inference(backward_demodulation,[status(thm)],[f6246,f284]) ).
fof(f6246,plain,
( ~ sQ23_spl
| op(e0,e3) = e4 ),
inference(forward_demodulation,[status(thm)],[f676,f341]) ).
fof(f6250,plain,
( ~ sQ0_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f4947,f922,f602]) ).
fof(f6265,plain,
( ~ sQ0_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2458,f634,f602]) ).
fof(f6286,plain,
( ~ sQ47_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f5845,f704,f752]) ).
fof(f6291,plain,
( sQ84_spl
| ~ sQ96_spl
| e4 != e4 ),
inference(forward_demodulation,[status(thm)],[f3428,f872]) ).
fof(f6292,plain,
( sQ84_spl
| ~ sQ96_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6291]) ).
fof(f6293,plain,
( sQ84_spl
| ~ sQ96_spl ),
inference(contradiction_clause,[status(thm)],[f6292]) ).
fof(f6298,plain,
( sQ225_spl
| ~ sQ39_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f5028,f947,f726,f1436]) ).
fof(f6305,plain,
( sQ181_spl
| ~ sQ19_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f5245,f925,f662,f1258]) ).
fof(f6379,plain,
( ~ sQ112_spl
| ~ sQ70_spl
| op(e0,e2) = e4 ),
inference(forward_demodulation,[status(thm)],[f827,f4147]) ).
fof(f6380,plain,
( ~ sQ112_spl
| ~ sQ70_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6379,f5023]) ).
fof(f6381,plain,
( ~ sQ112_spl
| ~ sQ70_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f6380]) ).
fof(f6384,plain,
( ~ sQ7_spl
| op(e0,e2) = e1 ),
inference(forward_demodulation,[status(thm)],[f625,f338]) ).
fof(f6394,plain,
( ~ sQ23_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f6238,f646,f675]) ).
fof(f6438,plain,
( ~ sQ7_spl
| e1 != op(e4,e2) ),
inference(forward_demodulation,[status(thm)],[f6384,f250]) ).
fof(f6448,plain,
( ~ sQ84_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f3415,f909,f870]) ).
fof(f6449,plain,
( ~ sQ84_spl
| ~ sQ38_spl
| op(e4,e2) = e1 ),
inference(forward_demodulation,[status(thm)],[f5940,f3404]) ).
fof(f6450,plain,
( ~ sQ84_spl
| ~ sQ38_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6449,f6438]) ).
fof(f6451,plain,
( ~ sQ84_spl
| ~ sQ38_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f6450]) ).
fof(f6452,plain,
( ~ sQ103_spl
| e3 != op(e4,e2) ),
inference(backward_demodulation,[status(thm)],[f4733,f318]) ).
fof(f6461,plain,
( ~ sQ103_spl
| op(e0,op(e3,e4)) = e3 ),
inference(backward_demodulation,[status(thm)],[f2788,f221]) ).
fof(f6462,plain,
( ~ sQ103_spl
| op(op(e3,e4),e0) = e4 ),
inference(backward_demodulation,[status(thm)],[f2788,f225]) ).
fof(f6486,plain,
( ~ sQ76_spl
| op(e1,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f4206,f232]) ).
fof(f6505,plain,
( sQ237_spl
| ~ sQ76_spl
| e4 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f3376,f1493]) ).
fof(f6512,plain,
( ~ sQ58_spl
| op(e1,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f788,f241]) ).
fof(f6542,plain,
( sQ227_spl
| ~ sQ111_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f3097,f755,f957,f1443]) ).
fof(f6679,plain,
( ~ sQ57_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f1720,f797,f784]) ).
fof(f6682,plain,
( ~ sQ57_spl
| ~ sQ58_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f788,f785]) ).
fof(f6683,plain,
( ~ sQ57_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6682,f334]) ).
fof(f6684,plain,
( ~ sQ57_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f6683]) ).
fof(f6707,plain,
( ~ sQ17_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f5890,f643,f656]) ).
fof(f6708,plain,
( ~ sQ17_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f5892,f624,f656]) ).
fof(f6727,plain,
( ~ sQ9_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f5068,f637,f630]) ).
fof(f6734,plain,
( ~ sQ89_spl
| op(e1,e2) != e4 ),
inference(backward_demodulation,[status(thm)],[f887,f252]) ).
fof(f6738,plain,
( ~ sQ89_spl
| op(e3,e4) = e2 ),
inference(backward_demodulation,[status(thm)],[f887,f354]) ).
fof(f6749,plain,
( ~ sQ103_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f6452,f963,f931]) ).
fof(f6760,plain,
( ~ sQ103_spl
| ~ sQ97_spl
| op(e0,e3) = e2 ),
inference(backward_demodulation,[status(thm)],[f6763,f339]) ).
fof(f6762,plain,
( ~ sQ103_spl
| ~ sQ97_spl
| e3 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f6763,f247]) ).
fof(f6763,plain,
( ~ sQ103_spl
| ~ sQ97_spl
| op(e0,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f913,f6461]) ).
fof(f6764,plain,
( ~ sQ103_spl
| ~ sQ97_spl
| op(e2,e0) = e4 ),
inference(forward_demodulation,[status(thm)],[f913,f6462]) ).
fof(f6768,plain,
( ~ sQ76_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f6486,f685,f845]) ).
fof(f6775,plain,
( sQ237_spl
| ~ sQ76_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f6505,f662,f845,f1491]) ).
fof(f6778,plain,
( ~ sQ58_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f6512,f707,f787]) ).
fof(f6854,plain,
( sQ158_spl
| ~ sQ79_spl
| ~ sQ8_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f4866,f864,f627,f854,f1172]) ).
fof(f6855,plain,
( sQ192_spl
| ~ sQ79_spl
| ~ sQ191_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f5171,f877,f1298,f854,f1301]) ).
fof(f6906,plain,
( ~ sQ71_spl
| ~ sQ66_spl ),
inference(split_clause,[status(thm)],[f3960,f813,f829]) ).
fof(f6948,plain,
( ~ sQ103_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f5215,f947,f931]) ).
fof(f6950,plain,
( ~ sQ103_spl
| ~ sQ97_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f6760,f656,f912,f931]) ).
fof(f6952,plain,
( ~ sQ103_spl
| ~ sQ97_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f6762,f723,f912,f931]) ).
fof(f6954,plain,
( ~ sQ103_spl
| ~ sQ97_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f6764,f774,f912,f931]) ).
fof(f6974,plain,
( ~ sQ23_spl
| ~ sQ103_spl
| op(e3,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f4733,f6127]) ).
fof(f6975,plain,
( ~ sQ23_spl
| ~ sQ103_spl
| ~ sQ93_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f4253,f6974]) ).
fof(f6976,plain,
( ~ sQ23_spl
| ~ sQ103_spl
| ~ sQ93_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6975,f329]) ).
fof(f6977,plain,
( ~ sQ23_spl
| ~ sQ103_spl
| ~ sQ93_spl ),
inference(contradiction_clause,[status(thm)],[f6976]) ).
fof(f7030,plain,
( sQ126_spl
| ~ sQ76_spl
| ~ sQ23_spl
| e2 != op(e3,e4) ),
inference(forward_demodulation,[status(thm)],[f6246,f4201]) ).
fof(f7104,plain,
( sQ175_spl
| ~ sQ11_spl
| ~ sQ29_spl
| e3 != op(e0,e4) ),
inference(forward_demodulation,[status(thm)],[f5440,f5324]) ).
fof(f7105,plain,
( sQ175_spl
| ~ sQ11_spl
| ~ sQ29_spl
| ~ sQ23_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f676,f7104]) ).
fof(f7106,plain,
( sQ175_spl
| ~ sQ11_spl
| ~ sQ29_spl
| ~ sQ23_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7105]) ).
fof(f7107,plain,
( sQ175_spl
| ~ sQ11_spl
| ~ sQ29_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f7106]) ).
fof(f7125,plain,
( ~ sQ38_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f5940,f736,f723]) ).
fof(f7140,plain,
( ~ sQ89_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f6734,f726,f886]) ).
fof(f7141,plain,
( ~ sQ89_spl
| sQ126_spl
| ~ sQ76_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6738,f7030]) ).
fof(f7142,plain,
( ~ sQ89_spl
| sQ126_spl
| ~ sQ76_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f7141]) ).
fof(f7162,plain,
( sQ233_spl
| ~ sQ53_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f4550,f886,f771,f1472]) ).
fof(f7173,plain,
( ~ sQ53_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f4546,f810,f771]) ).
fof(f7174,plain,
( sQ216_spl
| ~ sQ53_spl
| ~ sQ89_spl
| e1 != op(e2,e4) ),
inference(forward_demodulation,[status(thm)],[f887,f4549]) ).
fof(f7175,plain,
( sQ216_spl
| ~ sQ53_spl
| ~ sQ89_spl
| ~ sQ59_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f5274,f7174]) ).
fof(f7176,plain,
( sQ216_spl
| ~ sQ53_spl
| ~ sQ89_spl
| ~ sQ59_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7175]) ).
fof(f7177,plain,
( sQ216_spl
| ~ sQ53_spl
| ~ sQ89_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f7176]) ).
fof(f7247,plain,
( ~ sQ116_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f3579,f941,f973]) ).
fof(f7269,plain,
( ~ sQ116_spl
| ~ sQ97_spl
| op(e1,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f913,f2979]) ).
fof(f7293,plain,
( sQ38_spl
| ~ sQ116_spl
| ~ sQ97_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f7269,f725]) ).
fof(f7294,plain,
( sQ38_spl
| ~ sQ116_spl
| ~ sQ97_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7293]) ).
fof(f7295,plain,
( sQ38_spl
| ~ sQ116_spl
| ~ sQ97_spl ),
inference(contradiction_clause,[status(thm)],[f7294]) ).
fof(f7297,plain,
( ~ sQ48_spl
| ~ sQ108_spl
| op(e3,e3) = e1 ),
inference(forward_demodulation,[status(thm)],[f948,f4677]) ).
fof(f7298,plain,
( ~ sQ48_spl
| ~ sQ108_spl
| ~ sQ93_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f4253,f7297]) ).
fof(f7299,plain,
( ~ sQ48_spl
| ~ sQ108_spl
| ~ sQ93_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7298,f332]) ).
fof(f7300,plain,
( ~ sQ48_spl
| ~ sQ108_spl
| ~ sQ93_spl ),
inference(contradiction_clause,[status(thm)],[f7299]) ).
fof(f7370,plain,
( sQ162_spl
| ~ sQ79_spl
| ~ sQ116_spl
| e2 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f974,f3760]) ).
fof(f7371,plain,
( sQ162_spl
| ~ sQ79_spl
| ~ sQ116_spl
| ~ sQ82_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f865,f7370]) ).
fof(f7372,plain,
( sQ162_spl
| ~ sQ79_spl
| ~ sQ116_spl
| ~ sQ82_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7371]) ).
fof(f7373,plain,
( sQ162_spl
| ~ sQ79_spl
| ~ sQ116_spl
| ~ sQ82_spl ),
inference(contradiction_clause,[status(thm)],[f7372]) ).
fof(f7378,plain,
( sQ155_spl
| ~ sQ79_spl
| ~ sQ13_spl
| e1 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f4091,f3137]) ).
fof(f7379,plain,
( sQ155_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ82_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f5116,f7378]) ).
fof(f7380,plain,
( sQ155_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ82_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7379]) ).
fof(f7381,plain,
( sQ155_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ82_spl ),
inference(contradiction_clause,[status(thm)],[f7380]) ).
fof(f7382,plain,
$false,
inference(sat_refutation,[status(thm)],[f617,f633,f649,f665,f681,f825,f841,f857,f873,f889,f921,f937,f969,f985,f1004,f1008,f1009,f1010,f1011,f1015,f1017,f1018,f1020,f1021,f1025,f1026,f1028,f1030,f1034,f1036,f1037,f1039,f1040,f1041,f1042,f1043,f1046,f1047,f1048,f1049,f1051,f1117,f1179,f1190,f1216,f1257,f1264,f1292,f1304,f1319,f1372,f1391,f1392,f1412,f1442,f1446,f1455,f1460,f1475,f1484,f1499,f1515,f1530,f1604,f1642,f1735,f1751,f1791,f1914,f1979,f1982,f2028,f2031,f2034,f2061,f2064,f2122,f2125,f2131,f2143,f2149,f2165,f2195,f2227,f2257,f2288,f2302,f2307,f2321,f2353,f2357,f2392,f2413,f2416,f2448,f2466,f2467,f2535,f2680,f2690,f2736,f2737,f2811,f2853,f2867,f2873,f2902,f2903,f2932,f3025,f3040,f3084,f3109,f3126,f3127,f3211,f3213,f3218,f3219,f3232,f3325,f3455,f3456,f3534,f3539,f3548,f3561,f3562,f3563,f3577,f3597,f3620,f3769,f3770,f3771,f3772,f3812,f3892,f3932,f3967,f4023,f4039,f4041,f4047,f4050,f4053,f4061,f4064,f4079,f4080,f4109,f4111,f4188,f4320,f4349,f4406,f4410,f4424,f4464,f4465,f4496,f4497,f4530,f4534,f4578,f4586,f4587,f4608,f4651,f4662,f4709,f4711,f4712,f4774,f4827,f4905,f4908,f4910,f4942,f4966,f4968,f5104,f5123,f5149,f5187,f5189,f5191,f5193,f5210,f5225,f5226,f5249,f5250,f5260,f5262,f5283,f5300,f5304,f5306,f5307,f5308,f5311,f5345,f5388,f5450,f5453,f5484,f5522,f5542,f5543,f5564,f5653,f5782,f5822,f5830,f5849,f5999,f6013,f6034,f6126,f6132,f6165,f6176,f6195,f6198,f6213,f6250,f6265,f6286,f6293,f6298,f6305,f6381,f6394,f6448,f6451,f6542,f6679,f6684,f6707,f6708,f6727,f6749,f6768,f6775,f6778,f6854,f6855,f6906,f6948,f6950,f6952,f6954,f6977,f7107,f7125,f7140,f7142,f7162,f7173,f7177,f7247,f7295,f7300,f7373,f7381]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG192+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n004.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 13:01:05 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 1.28/0.66 % Refutation found
% 1.28/0.66 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.28/0.66 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.28/0.70 % Elapsed time: 0.335939 seconds
% 1.28/0.70 % CPU time: 2.342453 seconds
% 1.28/0.70 % Total memory used: 60.667 MB
% 1.28/0.70 % Net memory used: 59.800 MB
%------------------------------------------------------------------------------