%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG193+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 0.14s 0.63s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 165
% Syntax : Number of formulae : 1045 ( 117 unt; 146 def)
% Number of atoms : 3044 (1522 equ)
% Maximal formula atoms : 250 ( 2 avg)
% Number of connectives : 3339 (1340 ~;1598 |; 255 &)
% ( 146 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 148 ( 146 usr; 147 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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( op(e4,e3) != op(e4,e4)
& op(e4,e2) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e2)
& op(e4,e0) != op(e4,e4)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e1)
& op(e3,e3) != op(e3,e4)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e4)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e3) != op(e2,e4)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e4)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e3) != op(e1,e4)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e3) != op(e0,e4)
& op(e0,e2) != op(e0,e4)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e4)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e3,e4) != op(e4,e4)
& op(e2,e4) != op(e4,e4)
& op(e2,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e2,e4)
& op(e0,e4) != op(e4,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e1,e4)
& op(e3,e3) != op(e4,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e4,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e3,e2) != op(e4,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e4,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e3,e1) != op(e4,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e4,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e3,e0) != op(e4,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( e3 != e4
& e2 != e4
& e2 != e3
& e1 != e4
& e1 != e3
& e1 != e2
& e0 != e4
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
( op(op(e4,e4),e4) = e4
& op(op(e4,e3),e3) = e4
& op(op(e4,e2),e2) = e4
& op(op(e4,e1),e1) = e4
& op(op(e4,e0),e0) = e4
& op(op(e3,e4),e4) = e3
& op(op(e3,e3),e3) = e3
& op(op(e3,e2),e2) = e3
& op(op(e3,e1),e1) = e3
& op(op(e3,e0),e0) = e3
& op(op(e2,e4),e4) = e2
& op(op(e2,e3),e3) = e2
& op(op(e2,e2),e2) = e2
& op(op(e2,e1),e1) = e2
& op(op(e2,e0),e0) = e2
& op(op(e1,e4),e4) = e1
& op(op(e1,e3),e3) = e1
& op(op(e1,e2),e2) = e1
& op(op(e1,e1),e1) = e1
& op(op(e1,e0),e0) = e1
& op(op(e0,e4),e4) = e0
& op(op(e0,e3),e3) = e0
& op(op(e0,e2),e2) = e0
& op(op(e0,e1),e1) = e0
& op(op(e0,e0),e0) = e0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
~ ( e2 = op(op(e3,e1),op(e1,op(e3,e1)))
& e4 = op(e1,op(e3,e1))
& e0 = op(e3,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
~ ( e1 = op(op(e3,e2),op(e2,op(e3,e2)))
& e4 = op(e2,op(e3,e2))
& e0 = op(e3,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f45,axiom,
~ ( e4 = op(op(e0,e3),op(e3,op(e0,e3)))
& e2 = op(e3,op(e0,e3))
& e1 = op(e0,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f47,axiom,
~ ( e2 = op(op(e0,e3),op(e3,op(e0,e3)))
& e4 = op(e3,op(e0,e3))
& e1 = op(e0,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f56,axiom,
~ ( e3 = op(op(e4,e0),op(e0,op(e4,e0)))
& e1 = op(e0,op(e4,e0))
& e2 = op(e4,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f59,axiom,
~ ( e3 = op(op(e1,e0),op(e0,op(e1,e0)))
& e4 = op(e0,op(e1,e0))
& e2 = op(e1,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f67,axiom,
~ ( e4 = op(op(e1,e3),op(e3,op(e1,e3)))
& e0 = op(e3,op(e1,e3))
& e2 = op(e1,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f70,axiom,
~ ( e0 = op(op(e4,e3),op(e3,op(e4,e3)))
& e1 = op(e3,op(e4,e3))
& e2 = op(e4,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f72,axiom,
~ ( e0 = op(op(e1,e3),op(e3,op(e1,e3)))
& e4 = op(e3,op(e1,e3))
& e2 = op(e1,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f79,axiom,
~ ( e4 = op(op(e2,e0),op(e0,op(e2,e0)))
& e1 = op(e0,op(e2,e0))
& e3 = op(e2,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f92,axiom,
~ ( e1 = op(op(e4,e2),op(e2,op(e4,e2)))
& e0 = op(e2,op(e4,e2))
& e3 = op(e4,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f107,axiom,
~ ( e2 = op(op(e1,e0),op(e0,op(e1,e0)))
& e3 = op(e0,op(e1,e0))
& e4 = op(e1,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f120,axiom,
~ ( e0 = op(op(e1,e2),op(e2,op(e1,e2)))
& e3 = op(e2,op(e1,e2))
& e4 = op(e1,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
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(f134,plain,
( op(e1,e2) = e4
| op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f135,plain,
( op(e1,e3) = e4
| op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f137,plain,
( op(e2,e0) = e4
| op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f138,plain,
( op(e2,e1) = e4
| op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(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(f145,plain,
( op(e3,e3) = e4
| op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = 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(f152,plain,
( op(e0,e4) = e0
| op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
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(f156,plain,
( op(e0,e4) = e2
| op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[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(f163,plain,
( op(e4,e1) = e0
| op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f164,plain,
( op(e1,e4) = e1
| op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f166,plain,
( op(e1,e4) = e2
| op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[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(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(f173,plain,
( op(e4,e2) = e0
| op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f174,plain,
( op(e2,e4) = e1
| op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[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(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(f182,plain,
( op(e3,e4) = e0
| op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f183,plain,
( op(e4,e3) = e0
| op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f185,plain,
( op(e4,e3) = e1
| op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = 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(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(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(f195,plain,
( op(e4,e4) = e1
| op(e3,e4) = e1
| op(e2,e4) = e1
| op(e1,e4) = e1
| op(e0,e4) = e1 ),
inference(cnf_transformation,[status(thm)],[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(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(f200,plain,
( op(e4,e4) = e4
| op(e4,e3) = e4
| op(e4,e2) = e4
| op(e4,e1) = e4
| op(e4,e0) = e4 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f203,plain,
op(op(e1,e0),op(e0,e1)) = e0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f204,plain,
op(op(e2,e0),op(e0,e2)) = 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(f209,plain,
op(op(e2,e1),op(e1,e2)) = 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(f213,plain,
op(op(e1,e2),op(e2,e1)) = e2,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f215,plain,
op(op(e3,e2),op(e2,e3)) = 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(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(f227,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[status(thm)],[f4]) ).
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(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(f238,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f241,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f246,plain,
op(e3,e1) != op(e4,e1),
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(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(f254,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f255,plain,
op(e2,e2) != op(e4,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f258,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f259,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f260,plain,
op(e0,e3) != op(e4,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f263,plain,
op(e1,e3) != op(e4,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f267,plain,
op(e0,e4) != op(e1,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f268,plain,
op(e0,e4) != op(e2,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f273,plain,
op(e1,e4) != op(e4,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f281,plain,
op(e0,e1) != 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(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(f286,plain,
op(e0,e3) != 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(f292,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f294,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f295,plain,
op(e1,e2) != 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(f302,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f303,plain,
op(e2,e1) != op(e2,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f306,plain,
op(e2,e3) != op(e2,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f308,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f311,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f319,plain,
op(e4,e0) != op(e4,e3),
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(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(op(e0,e0),e0) = e0,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f338,plain,
op(op(e0,e1),e1) = e0,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f339,plain,
op(op(e0,e2),e2) = e0,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f340,plain,
op(op(e0,e3),e3) = e0,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f341,plain,
op(op(e0,e4),e4) = e0,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f342,plain,
op(op(e1,e0),e0) = e1,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f343,plain,
op(op(e1,e1),e1) = e1,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f344,plain,
op(op(e1,e2),e2) = e1,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f345,plain,
op(op(e1,e3),e3) = e1,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f346,plain,
op(op(e1,e4),e4) = e1,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f347,plain,
op(op(e2,e0),e0) = e2,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f348,plain,
op(op(e2,e1),e1) = e2,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f349,plain,
op(op(e2,e2),e2) = e2,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f350,plain,
op(op(e2,e3),e3) = e2,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f351,plain,
op(op(e2,e4),e4) = e2,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f352,plain,
op(op(e3,e0),e0) = e3,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f353,plain,
op(op(e3,e1),e1) = e3,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f354,plain,
op(op(e3,e2),e2) = e3,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f355,plain,
op(op(e3,e3),e3) = e3,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f356,plain,
op(op(e3,e4),e4) = e3,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f357,plain,
op(op(e4,e0),e0) = e4,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f358,plain,
op(op(e4,e1),e1) = e4,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f359,plain,
op(op(e4,e2),e2) = e4,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f360,plain,
op(op(e4,e3),e3) = e4,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f361,plain,
op(op(e4,e4),e4) = e4,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f372,plain,
( e2 != op(op(e3,e1),op(e1,op(e3,e1)))
| e4 != op(e1,op(e3,e1))
| e0 != op(e3,e1) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f373,plain,
( e2 != op(op(e3,e1),op(e1,op(e3,e1)))
| e4 != op(e1,op(e3,e1))
| e0 != op(e3,e1) ),
inference(cnf_transformation,[status(thm)],[f372]) ).
fof(f384,plain,
( e1 != op(op(e3,e2),op(e2,op(e3,e2)))
| e4 != op(e2,op(e3,e2))
| e0 != op(e3,e2) ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f385,plain,
( e1 != op(op(e3,e2),op(e2,op(e3,e2)))
| e4 != op(e2,op(e3,e2))
| e0 != op(e3,e2) ),
inference(cnf_transformation,[status(thm)],[f384]) ).
fof(f438,plain,
( e4 != op(op(e0,e3),op(e3,op(e0,e3)))
| e2 != op(e3,op(e0,e3))
| e1 != op(e0,e3) ),
inference(pre_NNF_transformation,[status(thm)],[f45]) ).
fof(f439,plain,
( e4 != op(op(e0,e3),op(e3,op(e0,e3)))
| e2 != op(e3,op(e0,e3))
| e1 != op(e0,e3) ),
inference(cnf_transformation,[status(thm)],[f438]) ).
fof(f442,plain,
( e2 != op(op(e0,e3),op(e3,op(e0,e3)))
| e4 != op(e3,op(e0,e3))
| e1 != op(e0,e3) ),
inference(pre_NNF_transformation,[status(thm)],[f47]) ).
fof(f443,plain,
( e2 != op(op(e0,e3),op(e3,op(e0,e3)))
| e4 != op(e3,op(e0,e3))
| e1 != op(e0,e3) ),
inference(cnf_transformation,[status(thm)],[f442]) ).
fof(f460,plain,
( e3 != op(op(e4,e0),op(e0,op(e4,e0)))
| e1 != op(e0,op(e4,e0))
| e2 != op(e4,e0) ),
inference(pre_NNF_transformation,[status(thm)],[f56]) ).
fof(f461,plain,
( e3 != op(op(e4,e0),op(e0,op(e4,e0)))
| e1 != op(e0,op(e4,e0))
| e2 != op(e4,e0) ),
inference(cnf_transformation,[status(thm)],[f460]) ).
fof(f466,plain,
( e3 != op(op(e1,e0),op(e0,op(e1,e0)))
| e4 != op(e0,op(e1,e0))
| e2 != op(e1,e0) ),
inference(pre_NNF_transformation,[status(thm)],[f59]) ).
fof(f467,plain,
( e3 != op(op(e1,e0),op(e0,op(e1,e0)))
| e4 != op(e0,op(e1,e0))
| e2 != op(e1,e0) ),
inference(cnf_transformation,[status(thm)],[f466]) ).
fof(f482,plain,
( e4 != op(op(e1,e3),op(e3,op(e1,e3)))
| e0 != op(e3,op(e1,e3))
| e2 != op(e1,e3) ),
inference(pre_NNF_transformation,[status(thm)],[f67]) ).
fof(f483,plain,
( e4 != op(op(e1,e3),op(e3,op(e1,e3)))
| e0 != op(e3,op(e1,e3))
| e2 != op(e1,e3) ),
inference(cnf_transformation,[status(thm)],[f482]) ).
fof(f488,plain,
( e0 != op(op(e4,e3),op(e3,op(e4,e3)))
| e1 != op(e3,op(e4,e3))
| e2 != op(e4,e3) ),
inference(pre_NNF_transformation,[status(thm)],[f70]) ).
fof(f489,plain,
( e0 != op(op(e4,e3),op(e3,op(e4,e3)))
| e1 != op(e3,op(e4,e3))
| e2 != op(e4,e3) ),
inference(cnf_transformation,[status(thm)],[f488]) ).
fof(f492,plain,
( e0 != op(op(e1,e3),op(e3,op(e1,e3)))
| e4 != op(e3,op(e1,e3))
| e2 != op(e1,e3) ),
inference(pre_NNF_transformation,[status(thm)],[f72]) ).
fof(f493,plain,
( e0 != op(op(e1,e3),op(e3,op(e1,e3)))
| e4 != op(e3,op(e1,e3))
| e2 != op(e1,e3) ),
inference(cnf_transformation,[status(thm)],[f492]) ).
fof(f506,plain,
( e4 != op(op(e2,e0),op(e0,op(e2,e0)))
| e1 != op(e0,op(e2,e0))
| e3 != op(e2,e0) ),
inference(pre_NNF_transformation,[status(thm)],[f79]) ).
fof(f507,plain,
( e4 != op(op(e2,e0),op(e0,op(e2,e0)))
| e1 != op(e0,op(e2,e0))
| e3 != op(e2,e0) ),
inference(cnf_transformation,[status(thm)],[f506]) ).
fof(f532,plain,
( e1 != op(op(e4,e2),op(e2,op(e4,e2)))
| e0 != op(e2,op(e4,e2))
| e3 != op(e4,e2) ),
inference(pre_NNF_transformation,[status(thm)],[f92]) ).
fof(f533,plain,
( e1 != op(op(e4,e2),op(e2,op(e4,e2)))
| e0 != op(e2,op(e4,e2))
| e3 != op(e4,e2) ),
inference(cnf_transformation,[status(thm)],[f532]) ).
fof(f562,plain,
( e2 != op(op(e1,e0),op(e0,op(e1,e0)))
| e3 != op(e0,op(e1,e0))
| e4 != op(e1,e0) ),
inference(pre_NNF_transformation,[status(thm)],[f107]) ).
fof(f563,plain,
( e2 != op(op(e1,e0),op(e0,op(e1,e0)))
| e3 != op(e0,op(e1,e0))
| e4 != op(e1,e0) ),
inference(cnf_transformation,[status(thm)],[f562]) ).
fof(f588,plain,
( e0 != op(op(e1,e2),op(e2,op(e1,e2)))
| e3 != op(e2,op(e1,e2))
| e4 != op(e1,e2) ),
inference(pre_NNF_transformation,[status(thm)],[f120]) ).
fof(f589,plain,
( e0 != op(op(e1,e2),op(e2,op(e1,e2)))
| e3 != op(e2,op(e1,e2))
| e4 != op(e1,e2) ),
inference(cnf_transformation,[status(thm)],[f588]) ).
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(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(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(f618,definition,
( sQ5_spl
<=> op(e0,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f619,plain,
( ~ sQ5_spl
| op(e0,e1) = e0 ),
inference(component_clause,[status(thm)],[f618]) ).
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(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(f634,definition,
( sQ10_spl
<=> op(e0,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f635,plain,
( ~ sQ10_spl
| op(e0,e2) = e0 ),
inference(component_clause,[status(thm)],[f634]) ).
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(f677,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(f682,definition,
( sQ25_spl
<=> op(e1,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f685,definition,
( sQ26_spl
<=> op(e1,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f686,plain,
( ~ sQ26_spl
| op(e1,e0) = e1 ),
inference(component_clause,[status(thm)],[f685]) ).
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(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(f715,plain,
( ~ sQ35_spl
| op(e1,e2) = e0 ),
inference(component_clause,[status(thm)],[f714]) ).
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(f721,plain,
( ~ sQ37_spl
| op(e1,e2) = e2 ),
inference(component_clause,[status(thm)],[f720]) ).
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(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(f729,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f134,f714,f717,f720,f723,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(f745,plain,
( sQ44_spl
| sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f135,f730,f733,f736,f739,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(f749,definition,
( sQ46_spl
<=> op(e1,e4) = e1 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f750,plain,
( ~ sQ46_spl
| op(e1,e4) = e1 ),
inference(component_clause,[status(thm)],[f749]) ).
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(f762,definition,
( sQ50_spl
<=> op(e2,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
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(f777,plain,
( sQ54_spl
| sQ53_spl
| sQ52_spl
| sQ51_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f137,f762,f765,f768,f771,f774]) ).
fof(f778,definition,
( sQ55_spl
<=> op(e2,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f779,plain,
( ~ sQ55_spl
| op(e2,e1) = e0 ),
inference(component_clause,[status(thm)],[f778]) ).
fof(f781,definition,
( sQ56_spl
<=> op(e2,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
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(f792,plain,
( sQ59_spl
| op(e2,e1) != e4 ),
inference(component_clause,[status(thm)],[f790]) ).
fof(f793,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f138,f778,f781,f784,f787,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(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(f808,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(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(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(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(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(f858,definition,
( sQ80_spl
<=> op(e3,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f859,plain,
( ~ sQ80_spl
| op(e3,e1) = e0 ),
inference(component_clause,[status(thm)],[f858]) ).
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(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(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(f886,definition,
( sQ89_spl
<=> op(e3,e2) = e4 ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
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(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(f905,plain,
( sQ94_spl
| sQ93_spl
| sQ92_spl
| sQ91_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f145,f890,f893,f896,f899,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(f923,plain,
( ~ sQ100_spl
| op(e4,e0) = e0 ),
inference(component_clause,[status(thm)],[f922]) ).
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(f935,plain,
( ~ sQ104_spl
| op(e4,e0) = e4 ),
inference(component_clause,[status(thm)],[f934]) ).
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(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(f950,definition,
( sQ109_spl
<=> op(e4,e1) = e4 ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f951,plain,
( ~ sQ109_spl
| op(e4,e1) = e4 ),
inference(component_clause,[status(thm)],[f950]) ).
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(f963,definition,
( sQ113_spl
<=> op(e4,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f964,plain,
( ~ sQ113_spl
| op(e4,e2) = e3 ),
inference(component_clause,[status(thm)],[f963]) ).
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(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(f989,definition,
( sQ121_spl
<=> op(e4,e4) = e1 ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f990,plain,
( ~ sQ121_spl
| op(e4,e4) = e1 ),
inference(component_clause,[status(thm)],[f989]) ).
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(f1002,plain,
( sQ20_spl
| sQ15_spl
| sQ10_spl
| sQ5_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f152,f602,f618,f634,f650,f666]) ).
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(f1006,plain,
( sQ22_spl
| sQ17_spl
| sQ12_spl
| sQ7_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f156,f608,f624,f640,f656,f672]) ).
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(f1013,plain,
( sQ105_spl
| sQ80_spl
| sQ55_spl
| sQ30_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f163,f618,f698,f778,f858,f938]) ).
fof(f1014,plain,
( sQ46_spl
| sQ41_spl
| sQ36_spl
| sQ31_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f164,f685,f701,f717,f733,f749]) ).
fof(f1016,plain,
( sQ47_spl
| sQ42_spl
| sQ37_spl
| sQ32_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f166,f688,f704,f720,f736,f752]) ).
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(f1021,plain,
( sQ109_spl
| sQ84_spl
| sQ59_spl
| sQ34_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f171,f630,f710,f790,f870,f950]) ).
fof(f1023,plain,
( sQ110_spl
| sQ85_spl
| sQ60_spl
| sQ35_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f173,f634,f714,f794,f874,f954]) ).
fof(f1024,plain,
( sQ71_spl
| sQ66_spl
| sQ61_spl
| sQ56_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f174,f765,f781,f797,f813,f829]) ).
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(f1030,plain,
( sQ74_spl
| sQ69_spl
| sQ64_spl
| sQ59_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f180,f774,f790,f806,f822,f838]) ).
fof(f1032,plain,
( sQ95_spl
| sQ90_spl
| sQ85_spl
| sQ80_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f182,f842,f858,f874,f890,f906]) ).
fof(f1033,plain,
( sQ115_spl
| sQ90_spl
| sQ65_spl
| sQ40_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f183,f650,f730,f810,f890,f970]) ).
fof(f1035,plain,
( sQ116_spl
| sQ91_spl
| sQ66_spl
| sQ41_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f185,f653,f733,f813,f893,f973]) ).
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(f1040,plain,
( sQ99_spl
| sQ94_spl
| sQ89_spl
| sQ84_spl
| sQ79_spl ),
inference(split_clause,[status(thm)],[f190,f854,f870,f886,f902,f918]) ).
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(f1045,plain,
( sQ121_spl
| sQ96_spl
| sQ71_spl
| sQ46_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f195,f669,f749,f829,f909,f989]) ).
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(f1049,plain,
( sQ123_spl
| sQ98_spl
| sQ73_spl
| sQ48_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f199,f675,f755,f835,f915,f995]) ).
fof(f1050,plain,
( sQ124_spl
| sQ119_spl
| sQ114_spl
| sQ109_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f200,f934,f950,f966,f982,f998]) ).
fof(f1087,definition,
( sQ135_spl
<=> e4 = op(e1,op(e3,e1)) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f1089,plain,
( sQ135_spl
| e4 != op(e1,op(e3,e1)) ),
inference(component_clause,[status(thm)],[f1087]) ).
fof(f1090,definition,
( sQ136_spl
<=> e2 = op(op(e3,e1),op(e1,op(e3,e1))) ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f1092,plain,
( sQ136_spl
| e2 != op(op(e3,e1),op(e1,op(e3,e1))) ),
inference(component_clause,[status(thm)],[f1090]) ).
fof(f1093,plain,
( ~ sQ136_spl
| ~ sQ135_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f373,f858,f1087,f1090]) ).
fof(f1108,definition,
( sQ141_spl
<=> e3 = op(e2,op(e1,e2)) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f1110,plain,
( sQ141_spl
| e3 != op(e2,op(e1,e2)) ),
inference(component_clause,[status(thm)],[f1108]) ).
fof(f1118,definition,
( sQ144_spl
<=> e1 = op(op(e4,e2),op(e2,op(e4,e2))) ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f1120,plain,
( sQ144_spl
| e1 != op(op(e4,e2),op(e2,op(e4,e2))) ),
inference(component_clause,[status(thm)],[f1118]) ).
fof(f1129,definition,
( sQ147_spl
<=> e4 = op(e2,op(e3,e2)) ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f1131,plain,
( sQ147_spl
| e4 != op(e2,op(e3,e2)) ),
inference(component_clause,[status(thm)],[f1129]) ).
fof(f1132,definition,
( sQ148_spl
<=> e1 = op(op(e3,e2),op(e2,op(e3,e2))) ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f1134,plain,
( sQ148_spl
| e1 != op(op(e3,e2),op(e2,op(e3,e2))) ),
inference(component_clause,[status(thm)],[f1132]) ).
fof(f1135,plain,
( ~ sQ148_spl
| ~ sQ147_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f385,f874,f1129,f1132]) ).
fof(f1143,definition,
( sQ151_spl
<=> e1 = op(e3,op(e4,e3)) ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f1145,plain,
( sQ151_spl
| e1 != op(e3,op(e4,e3)) ),
inference(component_clause,[status(thm)],[f1143]) ).
fof(f1153,definition,
( sQ154_spl
<=> e4 = op(op(e1,e3),op(e3,op(e1,e3))) ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f1164,definition,
( sQ157_spl
<=> e4 = op(e3,op(e1,e3)) ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f1166,plain,
( sQ157_spl
| e4 != op(e3,op(e1,e3)) ),
inference(component_clause,[status(thm)],[f1164]) ).
fof(f1230,definition,
( sQ176_spl
<=> e3 = op(op(e4,e0),op(e0,op(e4,e0))) ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f1232,plain,
( sQ176_spl
| e3 != op(op(e4,e0),op(e0,op(e4,e0))) ),
inference(component_clause,[status(thm)],[f1230]) ).
fof(f1237,definition,
( sQ178_spl
<=> e4 = op(op(e2,e0),op(e0,op(e2,e0))) ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f1239,plain,
( sQ178_spl
| e4 != op(op(e2,e0),op(e0,op(e2,e0))) ),
inference(component_clause,[status(thm)],[f1237]) ).
fof(f1266,definition,
( sQ186_spl
<=> e0 = op(e2,op(e4,e2)) ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f1268,plain,
( sQ186_spl
| e0 != op(e2,op(e4,e2)) ),
inference(component_clause,[status(thm)],[f1266]) ).
fof(f1300,definition,
( sQ195_spl
<=> e2 = op(e3,op(e0,e3)) ),
introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).
fof(f1302,plain,
( sQ195_spl
| e2 != op(e3,op(e0,e3)) ),
inference(component_clause,[status(thm)],[f1300]) ).
fof(f1303,definition,
( sQ196_spl
<=> e4 = op(op(e0,e3),op(e3,op(e0,e3))) ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f1305,plain,
( sQ196_spl
| e4 != op(op(e0,e3),op(e3,op(e0,e3))) ),
inference(component_clause,[status(thm)],[f1303]) ).
fof(f1306,plain,
( ~ sQ196_spl
| ~ sQ195_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f439,f653,f1300,f1303]) ).
fof(f1307,definition,
( sQ197_spl
<=> e0 = op(op(e4,e3),op(e3,op(e4,e3))) ),
introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition]) ).
fof(f1311,definition,
( sQ198_spl
<=> e4 = op(e3,op(e0,e3)) ),
introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).
fof(f1313,plain,
( sQ198_spl
| e4 != op(e3,op(e0,e3)) ),
inference(component_clause,[status(thm)],[f1311]) ).
fof(f1314,definition,
( sQ199_spl
<=> e2 = op(op(e0,e3),op(e3,op(e0,e3))) ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f1317,plain,
( ~ sQ199_spl
| ~ sQ198_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f443,f653,f1311,f1314]) ).
fof(f1322,definition,
( sQ201_spl
<=> e0 = op(e4,op(e2,e4)) ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f1324,plain,
( sQ201_spl
| e0 != op(e4,op(e2,e4)) ),
inference(component_clause,[status(thm)],[f1322]) ).
fof(f1356,definition,
( sQ210_spl
<=> e1 = op(e0,op(e4,e0)) ),
introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).
fof(f1358,plain,
( sQ210_spl
| e1 != op(e0,op(e4,e0)) ),
inference(component_clause,[status(thm)],[f1356]) ).
fof(f1359,plain,
( ~ sQ176_spl
| ~ sQ210_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f461,f928,f1356,f1230]) ).
fof(f1360,definition,
( sQ211_spl
<=> e3 = op(e0,op(e1,e0)) ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f1362,plain,
( sQ211_spl
| e3 != op(e0,op(e1,e0)) ),
inference(component_clause,[status(thm)],[f1360]) ).
fof(f1371,definition,
( sQ214_spl
<=> e4 = op(e0,op(e1,e0)) ),
introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition]) ).
fof(f1373,plain,
( sQ214_spl
| e4 != op(e0,op(e1,e0)) ),
inference(component_clause,[status(thm)],[f1371]) ).
fof(f1374,definition,
( sQ215_spl
<=> e3 = op(op(e1,e0),op(e0,op(e1,e0))) ),
introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition]) ).
fof(f1376,plain,
( sQ215_spl
| e3 != op(op(e1,e0),op(e0,op(e1,e0))) ),
inference(component_clause,[status(thm)],[f1374]) ).
fof(f1377,plain,
( ~ sQ215_spl
| ~ sQ214_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f467,f688,f1371,f1374]) ).
fof(f1412,definition,
( sQ225_spl
<=> e0 = op(e3,op(e1,e3)) ),
introduced(definition,[new_symbols(definition,[sQ225_spl])],[split_symbol_definition]) ).
fof(f1415,plain,
( ~ sQ154_spl
| ~ sQ225_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f483,f736,f1412,f1153]) ).
fof(f1421,plain,
( ~ sQ197_spl
| ~ sQ151_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f489,f976,f1143,f1307]) ).
fof(f1426,definition,
( sQ228_spl
<=> e0 = op(op(e1,e3),op(e3,op(e1,e3))) ),
introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition]) ).
fof(f1429,plain,
( ~ sQ228_spl
| ~ sQ157_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f493,f736,f1164,f1426]) ).
fof(f1448,definition,
( sQ233_spl
<=> e1 = op(e0,op(e2,e0)) ),
introduced(definition,[new_symbols(definition,[sQ233_spl])],[split_symbol_definition]) ).
fof(f1450,plain,
( sQ233_spl
| e1 != op(e0,op(e2,e0)) ),
inference(component_clause,[status(thm)],[f1448]) ).
fof(f1451,plain,
( ~ sQ178_spl
| ~ sQ233_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f507,f771,f1448,f1237]) ).
fof(f1453,definition,
( sQ234_spl
<=> e2 = op(e0,op(e1,e0)) ),
introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition]) ).
fof(f1455,plain,
( sQ234_spl
| e2 != op(e0,op(e1,e0)) ),
inference(component_clause,[status(thm)],[f1453]) ).
fof(f1458,definition,
( sQ235_spl
<=> e2 = op(op(e1,e0),op(e0,op(e1,e0))) ),
introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition]) ).
fof(f1460,plain,
( sQ235_spl
| e2 != op(op(e1,e0),op(e0,op(e1,e0))) ),
inference(component_clause,[status(thm)],[f1458]) ).
fof(f1488,plain,
( ~ sQ144_spl
| ~ sQ186_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f533,f963,f1266,f1118]) ).
fof(f1498,definition,
( sQ244_spl
<=> e0 = op(op(e1,e2),op(e2,op(e1,e2))) ),
introduced(definition,[new_symbols(definition,[sQ244_spl])],[split_symbol_definition]) ).
fof(f1500,plain,
( sQ244_spl
| e0 != op(op(e1,e2),op(e2,op(e1,e2))) ),
inference(component_clause,[status(thm)],[f1498]) ).
fof(f1512,plain,
( ~ sQ235_spl
| ~ sQ211_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f563,f694,f1360,f1458]) ).
fof(f1525,plain,
( ~ sQ244_spl
| ~ sQ141_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f589,f726,f1108,f1498]) ).
fof(f1539,plain,
( ~ sQ124_spl
| op(e1,e4) != e4 ),
inference(backward_demodulation,[status(thm)],[f999,f273]) ).
fof(f1541,plain,
( ~ sQ124_spl
| op(op(e4,e4),e4) = e4 ),
inference(backward_demodulation,[status(thm)],[f999,f226]) ).
fof(f1542,plain,
( ~ sQ99_spl
| op(e4,e4) = e3 ),
inference(backward_demodulation,[status(thm)],[f919,f356]) ).
fof(f1552,plain,
( ~ sQ74_spl
| op(e4,e4) = e2 ),
inference(backward_demodulation,[status(thm)],[f839,f351]) ).
fof(f1569,plain,
( ~ sQ24_spl
| op(e4,e4) = e0 ),
inference(backward_demodulation,[status(thm)],[f679,f341]) ).
fof(f1576,plain,
( ~ sQ119_spl
| op(e4,e3) = e4 ),
inference(backward_demodulation,[status(thm)],[f983,f360]) ).
fof(f1584,plain,
( ~ sQ114_spl
| op(e4,e2) = e4 ),
inference(backward_demodulation,[status(thm)],[f967,f359]) ).
fof(f1591,plain,
( ~ sQ109_spl
| op(e4,e1) = e4 ),
inference(backward_demodulation,[status(thm)],[f951,f358]) ).
fof(f1597,plain,
( ~ sQ104_spl
| op(e4,e0) = e4 ),
inference(backward_demodulation,[status(thm)],[f935,f357]) ).
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(f1632,plain,
( ~ sQ94_spl
| op(e4,e3) = e3 ),
inference(backward_demodulation,[status(thm)],[f903,f355]) ).
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(f1643,plain,
( ~ sQ68_spl
| op(e3,e3) = e2 ),
inference(backward_demodulation,[status(thm)],[f820,f350]) ).
fof(f1651,plain,
( ~ sQ43_spl
| op(e3,e3) = e1 ),
inference(backward_demodulation,[status(thm)],[f740,f345]) ).
fof(f1659,plain,
( ~ sQ18_spl
| op(e0,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f660,f284]) ).
fof(f1660,plain,
( ~ sQ18_spl
| op(e0,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f660,f282]) ).
fof(f1700,plain,
( ~ sQ64_spl
| op(e4,e2) = e2 ),
inference(backward_demodulation,[status(thm)],[f807,f349]) ).
fof(f1709,plain,
( ~ sQ37_spl
| op(e2,e2) = e1 ),
inference(backward_demodulation,[status(thm)],[f721,f344]) ).
fof(f1715,plain,
( ~ sQ12_spl
| op(e2,e2) = e0 ),
inference(backward_demodulation,[status(thm)],[f641,f339]) ).
fof(f1724,plain,
( ~ sQ52_spl
| op(e2,e0) = e2 ),
inference(backward_demodulation,[status(thm)],[f769,f347]) ).
fof(f1727,plain,
( ~ sQ61_spl
| ~ sQ62_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f801,f798]) ).
fof(f1728,plain,
( ~ sQ61_spl
| ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1727,f331]) ).
fof(f1729,plain,
( ~ sQ61_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f1728]) ).
fof(f1746,plain,
( ~ sQ33_spl
| ~ sQ34_spl
| e4 = e3 ),
inference(forward_demodulation,[status(thm)],[f711,f708]) ).
fof(f1747,plain,
( ~ sQ33_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1746,f336]) ).
fof(f1748,plain,
( ~ sQ33_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f1747]) ).
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(f1752,plain,
( ~ sQ6_spl
| op(e1,e1) = e0 ),
inference(backward_demodulation,[status(thm)],[f622,f338]) ).
fof(f1756,plain,
( ~ sQ26_spl
| op(e1,e0) = e1 ),
inference(backward_demodulation,[status(thm)],[f686,f342]) ).
fof(f1764,plain,
( ~ sQ4_spl
| op(e4,e0) = e0 ),
inference(backward_demodulation,[status(thm)],[f615,f337]) ).
fof(f1788,plain,
( ~ sQ120_spl
| op(e0,op(e4,e4)) = e4 ),
inference(forward_demodulation,[status(thm)],[f987,f226]) ).
fof(f1789,plain,
( ~ sQ120_spl
| op(e0,e0) = e4 ),
inference(forward_demodulation,[status(thm)],[f987,f1788]) ).
fof(f1790,plain,
( ~ sQ120_spl
| ~ sQ0_spl
| e0 = e4 ),
inference(forward_demodulation,[status(thm)],[f603,f1789]) ).
fof(f1791,plain,
( ~ sQ120_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1790,f330]) ).
fof(f1792,plain,
( ~ sQ120_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f1791]) ).
fof(f1821,plain,
( ~ sQ72_spl
| op(op(e4,e2),e2) = e2 ),
inference(forward_demodulation,[status(thm)],[f833,f216]) ).
fof(f1827,plain,
( ~ sQ72_spl
| e2 = e4 ),
inference(forward_demodulation,[status(thm)],[f1821,f359]) ).
fof(f1828,plain,
( ~ sQ72_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1827,f335]) ).
fof(f1829,plain,
~ sQ72_spl,
inference(contradiction_clause,[status(thm)],[f1828]) ).
fof(f1862,plain,
( ~ sQ46_spl
| op(op(e4,e1),e1) = e1 ),
inference(forward_demodulation,[status(thm)],[f750,f211]) ).
fof(f1868,plain,
( ~ sQ46_spl
| e1 = e4 ),
inference(forward_demodulation,[status(thm)],[f1862,f358]) ).
fof(f1869,plain,
( ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1868,f333]) ).
fof(f1870,plain,
~ sQ46_spl,
inference(contradiction_clause,[status(thm)],[f1869]) ).
fof(f1890,plain,
( ~ sQ20_spl
| op(op(e4,e0),e0) = e0 ),
inference(forward_demodulation,[status(thm)],[f667,f206]) ).
fof(f1898,plain,
( ~ sQ20_spl
| e0 = e4 ),
inference(forward_demodulation,[status(thm)],[f1890,f357]) ).
fof(f1899,plain,
( ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1898,f330]) ).
fof(f1900,plain,
~ sQ20_spl,
inference(contradiction_clause,[status(thm)],[f1899]) ).
fof(f1904,plain,
( ~ sQ100_spl
| op(e0,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f923,f230]) ).
fof(f1911,plain,
( ~ sQ119_spl
| op(op(e3,e4),e4) = e4 ),
inference(backward_demodulation,[status(thm)],[f1576,f225]) ).
fof(f1938,plain,
( ~ sQ90_spl
| op(e0,op(e3,e3)) = e3 ),
inference(forward_demodulation,[status(thm)],[f891,f220]) ).
fof(f1940,plain,
( ~ sQ90_spl
| op(e0,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f891,f1938]) ).
fof(f1945,plain,
( ~ sQ67_spl
| op(op(e3,e2),e2) = e2 ),
inference(backward_demodulation,[status(thm)],[f817,f215]) ).
fof(f1987,plain,
( ~ sQ30_spl
| e0 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f699,f292]) ).
fof(f1998,plain,
( ~ sQ41_spl
| op(op(e3,e1),e1) = e1 ),
inference(forward_demodulation,[status(thm)],[f734,f210]) ).
fof(f2002,plain,
( ~ sQ41_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f1998,f353]) ).
fof(f2003,plain,
( ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2002,f332]) ).
fof(f2004,plain,
~ sQ41_spl,
inference(contradiction_clause,[status(thm)],[f2003]) ).
fof(f2017,plain,
( ~ sQ15_spl
| op(op(e3,e0),e0) = e0 ),
inference(forward_demodulation,[status(thm)],[f651,f205]) ).
fof(f2021,plain,
( ~ sQ15_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f2017,f352]) ).
fof(f2022,plain,
( ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2021,f329]) ).
fof(f2023,plain,
~ sQ15_spl,
inference(contradiction_clause,[status(thm)],[f2022]) ).
fof(f2029,plain,
( ~ sQ63_spl
| op(e3,e2) = e2 ),
inference(backward_demodulation,[status(thm)],[f804,f349]) ).
fof(f2040,plain,
( sQ141_spl
| ~ sQ39_spl
| e3 != op(e2,e4) ),
inference(backward_demodulation,[status(thm)],[f727,f1110]) ).
fof(f2041,plain,
( sQ244_spl
| ~ sQ39_spl
| e0 != op(op(e1,e2),op(e2,e4)) ),
inference(backward_demodulation,[status(thm)],[f727,f1500]) ).
fof(f2065,plain,
( ~ sQ10_spl
| op(op(e2,e0),e0) = e0 ),
inference(forward_demodulation,[status(thm)],[f635,f204]) ).
fof(f2071,plain,
( ~ sQ10_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f2065,f347]) ).
fof(f2072,plain,
( ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2071,f328]) ).
fof(f2073,plain,
~ sQ10_spl,
inference(contradiction_clause,[status(thm)],[f2072]) ).
fof(f2089,plain,
( ~ sQ30_spl
| op(e0,op(e1,e1)) = e1 ),
inference(forward_demodulation,[status(thm)],[f699,f208]) ).
fof(f2092,plain,
( ~ sQ30_spl
| op(e0,e0) = e1 ),
inference(forward_demodulation,[status(thm)],[f699,f2089]) ).
fof(f2099,plain,
( ~ sQ59_spl
| op(e4,e1) = e2 ),
inference(backward_demodulation,[status(thm)],[f791,f348]) ).
fof(f2100,plain,
( ~ sQ59_spl
| op(e4,op(e1,e2)) = e1 ),
inference(backward_demodulation,[status(thm)],[f791,f209]) ).
fof(f2101,plain,
( ~ sQ59_spl
| op(op(e1,e2),e4) = e2 ),
inference(backward_demodulation,[status(thm)],[f791,f213]) ).
fof(f2121,plain,
( sQ234_spl
| ~ sQ29_spl
| e2 != op(e0,e4) ),
inference(backward_demodulation,[status(thm)],[f695,f1455]) ).
fof(f2124,plain,
( sQ235_spl
| ~ sQ29_spl
| e2 != op(op(e1,e0),op(e0,e4)) ),
inference(backward_demodulation,[status(thm)],[f695,f1460]) ).
fof(f2127,plain,
( ~ sQ38_spl
| op(e3,e2) = e1 ),
inference(backward_demodulation,[status(thm)],[f724,f344]) ).
fof(f2128,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| e4 = e3 ),
inference(forward_demodulation,[status(thm)],[f647,f644]) ).
fof(f2129,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2128,f336]) ).
fof(f2130,plain,
( ~ sQ13_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f2129]) ).
fof(f2131,plain,
( ~ sQ58_spl
| ~ sQ59_spl
| e4 = e3 ),
inference(forward_demodulation,[status(thm)],[f791,f788]) ).
fof(f2132,plain,
( ~ sQ58_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2131,f336]) ).
fof(f2133,plain,
( ~ sQ58_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f2132]) ).
fof(f2137,plain,
( ~ sQ28_spl
| ~ sQ29_spl
| e4 = e3 ),
inference(forward_demodulation,[status(thm)],[f695,f692]) ).
fof(f2138,plain,
( ~ sQ28_spl
| ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2137,f336]) ).
fof(f2139,plain,
( ~ sQ28_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f2138]) ).
fof(f2140,plain,
( ~ sQ47_spl
| ~ sQ48_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f756,f753]) ).
fof(f2141,plain,
( ~ sQ47_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2140,f334]) ).
fof(f2142,plain,
( ~ sQ47_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f2141]) ).
fof(f2143,plain,
( ~ sQ22_spl
| ~ sQ23_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f676,f673]) ).
fof(f2144,plain,
( ~ sQ22_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2143,f334]) ).
fof(f2145,plain,
( ~ sQ22_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f2144]) ).
fof(f2146,plain,
( ~ sQ97_spl
| op(e2,e4) = e3 ),
inference(backward_demodulation,[status(thm)],[f913,f356]) ).
fof(f2153,plain,
( ~ sQ42_spl
| ~ sQ44_spl
| e4 = e2 ),
inference(forward_demodulation,[status(thm)],[f743,f737]) ).
fof(f2154,plain,
( ~ sQ42_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2153,f335]) ).
fof(f2155,plain,
( ~ sQ42_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f2154]) ).
fof(f2156,plain,
( ~ sQ17_spl
| ~ sQ19_spl
| e4 = e2 ),
inference(forward_demodulation,[status(thm)],[f663,f657]) ).
fof(f2157,plain,
( ~ sQ17_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2156,f335]) ).
fof(f2158,plain,
( ~ sQ17_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f2157]) ).
fof(f2159,plain,
( ~ sQ82_spl
| ~ sQ84_spl
| e4 = e2 ),
inference(forward_demodulation,[status(thm)],[f871,f865]) ).
fof(f2160,plain,
( ~ sQ82_spl
| ~ sQ84_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2159,f335]) ).
fof(f2161,plain,
( ~ sQ82_spl
| ~ sQ84_spl ),
inference(contradiction_clause,[status(thm)],[f2160]) ).
fof(f2162,plain,
( ~ sQ5_spl
| op(op(e1,e0),e0) = e0 ),
inference(backward_demodulation,[status(thm)],[f619,f203]) ).
fof(f2177,plain,
( ~ sQ77_spl
| ~ sQ79_spl
| e4 = e2 ),
inference(forward_demodulation,[status(thm)],[f855,f849]) ).
fof(f2178,plain,
( ~ sQ77_spl
| ~ sQ79_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2177,f335]) ).
fof(f2179,plain,
( ~ sQ77_spl
| ~ sQ79_spl ),
inference(contradiction_clause,[status(thm)],[f2178]) ).
fof(f2181,plain,
( ~ sQ74_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f1552,f992,f838]) ).
fof(f2222,plain,
( ~ sQ113_spl
| op(e3,e2) = e4 ),
inference(forward_demodulation,[status(thm)],[f964,f359]) ).
fof(f2230,plain,
( ~ sQ53_spl
| e3 != op(e2,e4) ),
inference(forward_demodulation,[status(thm)],[f772,f300]) ).
fof(f2231,plain,
( ~ sQ53_spl
| ~ sQ73_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f836,f2230]) ).
fof(f2232,plain,
( ~ sQ53_spl
| ~ sQ73_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2231]) ).
fof(f2233,plain,
( ~ sQ53_spl
| ~ sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f2232]) ).
fof(f2282,plain,
( ~ sQ24_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f1569,f986,f678]) ).
fof(f2297,plain,
( ~ sQ103_spl
| op(e3,e0) = e4 ),
inference(forward_demodulation,[status(thm)],[f932,f357]) ).
fof(f2301,plain,
( ~ sQ27_spl
| op(e2,e0) = e1 ),
inference(backward_demodulation,[status(thm)],[f689,f342]) ).
fof(f2302,plain,
( ~ sQ102_spl
| ~ sQ103_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f932,f929]) ).
fof(f2303,plain,
( ~ sQ102_spl
| ~ sQ103_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2302,f334]) ).
fof(f2304,plain,
( ~ sQ102_spl
| ~ sQ103_spl ),
inference(contradiction_clause,[status(thm)],[f2303]) ).
fof(f2305,plain,
( ~ sQ71_spl
| op(e0,e4) != e1 ),
inference(backward_demodulation,[status(thm)],[f830,f268]) ).
fof(f2307,plain,
( ~ sQ71_spl
| op(e1,e4) = e2 ),
inference(backward_demodulation,[status(thm)],[f830,f351]) ).
fof(f2312,plain,
( ~ sQ96_spl
| ~ sQ97_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f913,f910]) ).
fof(f2313,plain,
( ~ sQ96_spl
| ~ sQ97_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2312,f331]) ).
fof(f2314,plain,
( ~ sQ96_spl
| ~ sQ97_spl ),
inference(contradiction_clause,[status(thm)],[f2313]) ).
fof(f2315,plain,
( ~ sQ16_spl
| e1 != op(e0,e4) ),
inference(backward_demodulation,[status(thm)],[f654,f286]) ).
fof(f2317,plain,
( ~ sQ70_spl
| ~ sQ71_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f830,f827]) ).
fof(f2318,plain,
( ~ sQ70_spl
| ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2317,f327]) ).
fof(f2319,plain,
( ~ sQ70_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f2318]) ).
fof(f2320,plain,
( sQ196_spl
| ~ sQ16_spl
| e4 != op(e1,op(e3,op(e0,e3))) ),
inference(forward_demodulation,[status(thm)],[f654,f1305]) ).
fof(f2321,plain,
( sQ196_spl
| ~ sQ16_spl
| e4 != op(e1,op(e3,e1)) ),
inference(forward_demodulation,[status(thm)],[f654,f2320]) ).
fof(f2322,plain,
( sQ198_spl
| ~ sQ16_spl
| e4 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f654,f1313]) ).
fof(f2326,plain,
( sQ195_spl
| ~ sQ16_spl
| e2 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f654,f1302]) ).
fof(f2339,plain,
( ~ sQ11_spl
| e1 != op(e4,e2) ),
inference(forward_demodulation,[status(thm)],[f638,f250]) ).
fof(f2340,plain,
( ~ sQ11_spl
| ~ sQ111_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f958,f2339]) ).
fof(f2341,plain,
( ~ sQ11_spl
| ~ sQ111_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2340]) ).
fof(f2342,plain,
( ~ sQ11_spl
| ~ sQ111_spl ),
inference(contradiction_clause,[status(thm)],[f2341]) ).
fof(f2365,plain,
( ~ sQ101_spl
| op(e0,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f926,f230]) ).
fof(f2374,plain,
( ~ sQ95_spl
| op(op(e4,e3),e0) = e3 ),
inference(backward_demodulation,[status(thm)],[f907,f221]) ).
fof(f2379,plain,
( ~ sQ40_spl
| op(e0,e3) = e1 ),
inference(backward_demodulation,[status(thm)],[f731,f345]) ).
fof(f2410,plain,
( ~ sQ76_spl
| op(e1,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f846,f352]) ).
fof(f2437,plain,
( ~ sQ63_spl
| sQ87_spl ),
inference(split_clause,[status(thm)],[f2029,f880,f803]) ).
fof(f2441,plain,
( ~ sQ51_spl
| e1 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f766,f299]) ).
fof(f2444,plain,
( ~ sQ12_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f1715,f794,f640]) ).
fof(f2487,plain,
( ~ sQ51_spl
| op(e1,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f766,f347]) ).
fof(f2492,plain,
( ~ sQ0_spl
| e0 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f603,f229]) ).
fof(f2499,plain,
( ~ sQ76_spl
| e1 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f846,f308]) ).
fof(f2500,plain,
( ~ sQ76_spl
| ~ sQ86_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f878,f2499]) ).
fof(f2501,plain,
( ~ sQ76_spl
| ~ sQ86_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2500]) ).
fof(f2502,plain,
( ~ sQ76_spl
| ~ sQ86_spl ),
inference(contradiction_clause,[status(thm)],[f2501]) ).
fof(f2520,plain,
( ~ sQ85_spl
| ~ sQ86_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f878,f875]) ).
fof(f2521,plain,
( ~ sQ85_spl
| ~ sQ86_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2520,f327]) ).
fof(f2522,plain,
( ~ sQ85_spl
| ~ sQ86_spl ),
inference(contradiction_clause,[status(thm)],[f2521]) ).
fof(f2524,plain,
( sQ244_spl
| ~ sQ39_spl
| e0 != op(e4,op(e2,e4)) ),
inference(backward_demodulation,[status(thm)],[f727,f2041]) ).
fof(f2529,plain,
( ~ sQ39_spl
| op(e1,e0) != e4 ),
inference(forward_demodulation,[status(thm)],[f727,f288]) ).
fof(f2545,plain,
( ~ sQ7_spl
| op(e2,e1) = e0 ),
inference(backward_demodulation,[status(thm)],[f625,f338]) ).
fof(f2560,plain,
( ~ sQ118_spl
| ~ sQ115_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f971,f980]) ).
fof(f2561,plain,
( ~ sQ118_spl
| ~ sQ115_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2560,f329]) ).
fof(f2562,plain,
( ~ sQ118_spl
| ~ sQ115_spl ),
inference(contradiction_clause,[status(thm)],[f2561]) ).
fof(f2579,plain,
( ~ sQ40_spl
| e0 != op(e1,e4) ),
inference(forward_demodulation,[status(thm)],[f731,f296]) ).
fof(f2580,plain,
( ~ sQ40_spl
| ~ sQ45_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f747,f2579]) ).
fof(f2581,plain,
( ~ sQ40_spl
| ~ sQ45_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2580]) ).
fof(f2582,plain,
( ~ sQ40_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f2581]) ).
fof(f2599,plain,
( ~ sQ95_spl
| op(e3,op(e4,e0)) = e4 ),
inference(backward_demodulation,[status(thm)],[f2601,f222]) ).
fof(f2601,plain,
( ~ sQ95_spl
| op(e0,e4) = e3 ),
inference(forward_demodulation,[status(thm)],[f907,f356]) ).
fof(f2612,plain,
( sQ23_spl
| ~ sQ95_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f2601,f677]) ).
fof(f2613,plain,
( sQ23_spl
| ~ sQ95_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2612]) ).
fof(f2614,plain,
( sQ23_spl
| ~ sQ95_spl ),
inference(contradiction_clause,[status(thm)],[f2613]) ).
fof(f2628,plain,
( ~ sQ35_spl
| op(e0,e2) = e1 ),
inference(backward_demodulation,[status(thm)],[f715,f344]) ).
fof(f2629,plain,
( ~ sQ35_spl
| e0 != op(e1,e4) ),
inference(backward_demodulation,[status(thm)],[f715,f295]) ).
fof(f2647,plain,
( ~ sQ0_spl
| e0 != op(e4,e0) ),
inference(forward_demodulation,[status(thm)],[f603,f230]) ).
fof(f2651,plain,
( ~ sQ64_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f1700,f960,f806]) ).
fof(f2696,plain,
( ~ sQ18_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1660,f627,f659]) ).
fof(f2711,plain,
( ~ sQ4_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1764,f2647]) ).
fof(f2712,plain,
( ~ sQ4_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f2711]) ).
fof(f2730,plain,
( ~ sQ0_spl
| ~ sQ75_spl ),
inference(split_clause,[status(thm)],[f2492,f842,f602]) ).
fof(f2749,plain,
( ~ sQ27_spl
| e1 != op(e2,e4) ),
inference(backward_demodulation,[status(thm)],[f2301,f300]) ).
fof(f2753,plain,
( ~ sQ27_spl
| op(op(e0,e2),e1) = e2 ),
inference(backward_demodulation,[status(thm)],[f2301,f212]) ).
fof(f2763,plain,
( sQ215_spl
| ~ sQ27_spl
| e3 != op(op(e1,e0),op(e0,e2)) ),
inference(backward_demodulation,[status(thm)],[f689,f1376]) ).
fof(f2765,plain,
( sQ214_spl
| ~ sQ27_spl
| e4 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f689,f1373]) ).
fof(f2776,plain,
( ~ sQ85_spl
| op(e0,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f875,f354]) ).
fof(f2777,plain,
( ~ sQ85_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2776,f1659]) ).
fof(f2778,plain,
( ~ sQ85_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f2777]) ).
fof(f2796,plain,
( ~ sQ113_spl
| op(e3,e1) != e4 ),
inference(backward_demodulation,[status(thm)],[f2222,f311]) ).
fof(f2818,plain,
( ~ sQ80_spl
| op(e0,e1) = e3 ),
inference(backward_demodulation,[status(thm)],[f859,f353]) ).
fof(f2826,plain,
( sQ136_spl
| ~ sQ80_spl
| e2 != op(op(e3,e1),op(e1,e0)) ),
inference(backward_demodulation,[status(thm)],[f859,f1092]) ).
fof(f2829,plain,
( ~ sQ110_spl
| ~ sQ113_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f964,f955]) ).
fof(f2830,plain,
( ~ sQ110_spl
| ~ sQ113_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2829,f329]) ).
fof(f2831,plain,
( ~ sQ110_spl
| ~ sQ113_spl ),
inference(contradiction_clause,[status(thm)],[f2830]) ).
fof(f2834,plain,
( ~ sQ42_spl
| e2 != op(e4,e3) ),
inference(backward_demodulation,[status(thm)],[f737,f263]) ).
fof(f2836,plain,
( sQ157_spl
| ~ sQ42_spl
| e4 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f737,f1166]) ).
fof(f2866,plain,
( ~ sQ9_spl
| op(e4,e1) = e0 ),
inference(forward_demodulation,[status(thm)],[f631,f338]) ).
fof(f2877,plain,
( ~ sQ114_spl
| op(op(e2,e4),e4) = e4 ),
inference(forward_demodulation,[status(thm)],[f1584,f224]) ).
fof(f2878,plain,
( ~ sQ114_spl
| e2 = e4 ),
inference(forward_demodulation,[status(thm)],[f351,f2877]) ).
fof(f2879,plain,
( ~ sQ114_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2878,f335]) ).
fof(f2880,plain,
~ sQ114_spl,
inference(contradiction_clause,[status(thm)],[f2879]) ).
fof(f2889,plain,
( ~ sQ99_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f1542,f995,f918]) ).
fof(f2941,plain,
( ~ sQ54_spl
| op(op(e0,e4),e2) = e4 ),
inference(backward_demodulation,[status(thm)],[f2952,f222]) ).
fof(f2945,plain,
( sQ176_spl
| ~ sQ54_spl
| e3 != op(op(e4,e0),op(e0,e2)) ),
inference(backward_demodulation,[status(thm)],[f2952,f1232]) ).
fof(f2947,plain,
( sQ210_spl
| ~ sQ54_spl
| e1 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f2952,f1358]) ).
fof(f2952,plain,
( ~ sQ54_spl
| op(e4,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f775,f347]) ).
fof(f2957,plain,
( ~ sQ54_spl
| op(op(e0,e2),e4) = e2 ),
inference(forward_demodulation,[status(thm)],[f775,f212]) ).
fof(f2994,plain,
( ~ sQ121_spl
| op(e1,e4) = e4 ),
inference(backward_demodulation,[status(thm)],[f990,f361]) ).
fof(f3007,plain,
( ~ sQ65_spl
| e0 != op(e2,e4) ),
inference(backward_demodulation,[status(thm)],[f811,f306]) ).
fof(f3015,plain,
( ~ sQ65_spl
| op(e0,e3) = e2 ),
inference(backward_demodulation,[status(thm)],[f811,f350]) ).
fof(f3018,plain,
( ~ sQ55_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f779,f302]) ).
fof(f3019,plain,
( ~ sQ55_spl
| ~ sQ65_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f811,f3018]) ).
fof(f3020,plain,
( ~ sQ55_spl
| ~ sQ65_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3019]) ).
fof(f3021,plain,
( ~ sQ55_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f3020]) ).
fof(f3064,plain,
( ~ sQ73_spl
| op(e0,e4) != e3 ),
inference(backward_demodulation,[status(thm)],[f836,f268]) ).
fof(f3067,plain,
( sQ201_spl
| ~ sQ73_spl
| e0 != op(e4,e3) ),
inference(backward_demodulation,[status(thm)],[f836,f1324]) ).
fof(f3085,plain,
( ~ sQ43_spl
| op(op(e3,e3),e1) = e3 ),
inference(backward_demodulation,[status(thm)],[f1651,f220]) ).
fof(f3088,plain,
( ~ sQ100_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1904,f602,f922]) ).
fof(f3089,plain,
( ~ sQ0_spl
| ~ sQ2_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f609,f603]) ).
fof(f3090,plain,
( ~ sQ0_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3089,f328]) ).
fof(f3091,plain,
( ~ sQ0_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f3090]) ).
fof(f3101,plain,
( ~ sQ21_spl
| op(e1,e4) = e0 ),
inference(backward_demodulation,[status(thm)],[f670,f341]) ).
fof(f3108,plain,
( ~ sQ30_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f1987,f730,f698]) ).
fof(f3127,plain,
( ~ sQ30_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f2092,f605,f698]) ).
fof(f3148,plain,
( ~ sQ109_spl
| op(op(e1,e4),e4) = e4 ),
inference(backward_demodulation,[status(thm)],[f1591,f223]) ).
fof(f3173,plain,
( ~ sQ66_spl
| op(e1,e3) = e2 ),
inference(backward_demodulation,[status(thm)],[f814,f350]) ).
fof(f3189,plain,
( ~ sQ122_spl
| op(e2,op(e4,e4)) = e4 ),
inference(forward_demodulation,[status(thm)],[f993,f226]) ).
fof(f3197,plain,
( ~ sQ122_spl
| op(e2,e2) = e4 ),
inference(forward_demodulation,[status(thm)],[f993,f3189]) ).
fof(f3212,plain,
( ~ sQ97_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f2146,f835,f912]) ).
fof(f3262,plain,
( sQ148_spl
| ~ sQ85_spl
| e1 != op(op(e3,e2),op(e2,e0)) ),
inference(backward_demodulation,[status(thm)],[f875,f1134]) ).
fof(f3264,plain,
( sQ147_spl
| ~ sQ85_spl
| e4 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f875,f1131]) ).
fof(f3270,plain,
( ~ sQ85_spl
| op(e1,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f875,f252]) ).
fof(f3271,plain,
( ~ sQ85_spl
| op(e0,e2) = e3 ),
inference(backward_demodulation,[status(thm)],[f875,f354]) ).
fof(f3272,plain,
( ~ sQ85_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f2776,f643,f874]) ).
fof(f3293,plain,
( ~ sQ113_spl
| op(e0,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f964,f250]) ).
fof(f3294,plain,
( ~ sQ113_spl
| op(e1,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f964,f253]) ).
fof(f3295,plain,
( ~ sQ113_spl
| op(e3,e2) = e4 ),
inference(backward_demodulation,[status(thm)],[f964,f359]) ).
fof(f3299,plain,
( sQ186_spl
| ~ sQ113_spl
| e0 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f964,f1268]) ).
fof(f3309,plain,
( ~ sQ113_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f2222,f886,f963]) ).
fof(f3325,plain,
( ~ sQ36_spl
| op(op(e2,e1),e1) = e1 ),
inference(backward_demodulation,[status(thm)],[f718,f209]) ).
fof(f3350,plain,
( ~ sQ6_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f1752,f698,f621]) ).
fof(f3357,plain,
( sQ178_spl
| ~ sQ53_spl
| e4 != op(op(e2,e0),op(e0,e3)) ),
inference(backward_demodulation,[status(thm)],[f772,f1239]) ).
fof(f3417,plain,
( ~ sQ90_spl
| ~ sQ0_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f603,f1940]) ).
fof(f3418,plain,
( ~ sQ90_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3417,f329]) ).
fof(f3419,plain,
( ~ sQ90_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f3418]) ).
fof(f3427,plain,
( ~ sQ0_spl
| e0 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f603,f228]) ).
fof(f3450,plain,
( ~ sQ104_spl
| op(op(e0,e4),e4) = e4 ),
inference(forward_demodulation,[status(thm)],[f1597,f222]) ).
fof(f3452,plain,
( ~ sQ104_spl
| e4 = e0 ),
inference(forward_demodulation,[status(thm)],[f3450,f341]) ).
fof(f3453,plain,
( ~ sQ104_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3452,f330]) ).
fof(f3454,plain,
~ sQ104_spl,
inference(contradiction_clause,[status(thm)],[f3453]) ).
fof(f3457,plain,
( ~ sQ16_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f2315,f669,f653]) ).
fof(f3459,plain,
( sQ198_spl
| ~ sQ16_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f2322,f870,f653,f1311]) ).
fof(f3460,plain,
( ~ sQ67_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f354,f1945]) ).
fof(f3461,plain,
( ~ sQ67_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3460,f334]) ).
fof(f3462,plain,
~ sQ67_spl,
inference(contradiction_clause,[status(thm)],[f3461]) ).
fof(f3506,plain,
( ~ sQ52_spl
| op(op(e0,e2),e2) = e2 ),
inference(forward_demodulation,[status(thm)],[f1724,f212]) ).
fof(f3507,plain,
( ~ sQ52_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f339,f3506]) ).
fof(f3508,plain,
( ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3507,f328]) ).
fof(f3509,plain,
~ sQ52_spl,
inference(contradiction_clause,[status(thm)],[f3508]) ).
fof(f3511,plain,
( ~ sQ54_spl
| op(e4,op(e0,e2)) = e0 ),
inference(backward_demodulation,[status(thm)],[f775,f204]) ).
fof(f3517,plain,
( sQ210_spl
| ~ sQ54_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f2947,f637,f774,f1356]) ).
fof(f3537,plain,
( sQ147_spl
| ~ sQ85_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f3264,f774,f874,f1129]) ).
fof(f3542,plain,
( ~ sQ85_spl
| op(e0,op(e2,e3)) = e2 ),
inference(backward_demodulation,[status(thm)],[f875,f215]) ).
fof(f3560,plain,
( ~ sQ13_spl
| op(e3,e2) = e0 ),
inference(backward_demodulation,[status(thm)],[f644,f339]) ).
fof(f3571,plain,
( ~ sQ9_spl
| op(e4,e1) = e0 ),
inference(backward_demodulation,[status(thm)],[f631,f338]) ).
fof(f3592,plain,
( ~ sQ9_spl
| e0 != op(e4,e3) ),
inference(backward_demodulation,[status(thm)],[f2866,f322]) ).
fof(f3597,plain,
( ~ sQ68_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f1643,f896,f819]) ).
fof(f3627,plain,
( ~ sQ62_spl
| e2 != op(e4,e2) ),
inference(forward_demodulation,[status(thm)],[f801,f255]) ).
fof(f3645,plain,
( ~ sQ57_spl
| op(op(e1,e2),e2) = e2 ),
inference(backward_demodulation,[status(thm)],[f785,f213]) ).
fof(f3667,plain,
( ~ sQ31_spl
| op(e1,e1) = e1 ),
inference(backward_demodulation,[status(thm)],[f702,f343]) ).
fof(f3685,plain,
( ~ sQ77_spl
| op(e2,e0) = e3 ),
inference(backward_demodulation,[status(thm)],[f849,f352]) ).
fof(f3687,plain,
( ~ sQ77_spl
| e2 != op(e4,e0) ),
inference(forward_demodulation,[status(thm)],[f849,f236]) ).
fof(f3689,plain,
( ~ sQ121_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f2994,f758,f989]) ).
fof(f3709,plain,
( ~ sQ98_spl
| op(op(e4,e3),e3) = e3 ),
inference(backward_demodulation,[status(thm)],[f916,f221]) ).
fof(f3731,plain,
( ~ sQ103_spl
| sQ79_spl ),
inference(split_clause,[status(thm)],[f2297,f854,f931]) ).
fof(f3732,plain,
( ~ sQ0_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f3427,f762,f602]) ).
fof(f3735,plain,
( sQ234_spl
| ~ sQ29_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f2121,f672,f694,f1453]) ).
fof(f3736,plain,
( sQ235_spl
| ~ sQ29_spl
| e2 != op(e4,op(e0,e4)) ),
inference(backward_demodulation,[status(thm)],[f695,f2124]) ).
fof(f3760,plain,
( ~ sQ22_spl
| op(e2,e4) = e0 ),
inference(backward_demodulation,[status(thm)],[f673,f341]) ).
fof(f3771,plain,
( ~ sQ33_spl
| ~ sQ31_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f702,f708]) ).
fof(f3772,plain,
( ~ sQ33_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3771,f332]) ).
fof(f3773,plain,
( ~ sQ33_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f3772]) ).
fof(f3789,plain,
( ~ sQ117_spl
| op(e2,e3) = e4 ),
inference(backward_demodulation,[status(thm)],[f977,f360]) ).
fof(f3792,plain,
( ~ sQ14_spl
| e4 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f647,f249]) ).
fof(f3794,plain,
( ~ sQ14_spl
| op(e4,op(e2,e0)) = e2 ),
inference(backward_demodulation,[status(thm)],[f647,f212]) ).
fof(f3798,plain,
( ~ sQ80_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f2818,f627,f858]) ).
fof(f3806,plain,
( ~ sQ80_spl
| op(e0,e1) = e3 ),
inference(backward_demodulation,[status(thm)],[f859,f353]) ).
fof(f3809,plain,
( sQ135_spl
| ~ sQ80_spl
| e4 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f859,f1089]) ).
fof(f3812,plain,
( sQ136_spl
| ~ sQ80_spl
| e2 != op(e0,op(e1,e0)) ),
inference(forward_demodulation,[status(thm)],[f859,f2826]) ).
fof(f3815,plain,
( ~ sQ110_spl
| op(e4,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f955,f321]) ).
fof(f3820,plain,
( ~ sQ110_spl
| op(e0,e2) = e4 ),
inference(backward_demodulation,[status(thm)],[f955,f359]) ).
fof(f3831,plain,
( ~ sQ124_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f1539,f758,f998]) ).
fof(f3833,plain,
( ~ sQ124_spl
| op(e4,e4) = e4 ),
inference(backward_demodulation,[status(thm)],[f999,f1541]) ).
fof(f3837,plain,
( ~ sQ11_spl
| ~ sQ14_spl
| e4 = e1 ),
inference(forward_demodulation,[status(thm)],[f647,f638]) ).
fof(f3838,plain,
( ~ sQ11_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3837,f333]) ).
fof(f3839,plain,
( ~ sQ11_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f3838]) ).
fof(f3850,plain,
( ~ sQ14_spl
| op(e4,e2) = e0 ),
inference(forward_demodulation,[status(thm)],[f647,f339]) ).
fof(f3863,plain,
( ~ sQ107_spl
| op(e2,e1) = e4 ),
inference(backward_demodulation,[status(thm)],[f945,f358]) ).
fof(f3882,plain,
( ~ sQ51_spl
| op(e1,e0) = e2 ),
inference(backward_demodulation,[status(thm)],[f766,f347]) ).
fof(f3887,plain,
( ~ sQ51_spl
| ~ sQ66_spl ),
inference(split_clause,[status(thm)],[f2441,f813,f765]) ).
fof(f3888,plain,
( ~ sQ51_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f2487,f688,f765]) ).
fof(f3914,plain,
( ~ sQ14_spl
| ~ sQ51_spl
| op(e4,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f766,f3794]) ).
fof(f3925,plain,
( ~ sQ80_spl
| op(e3,op(e1,e0)) = e1 ),
inference(backward_demodulation,[status(thm)],[f3806,f207]) ).
fof(f3934,plain,
( sQ135_spl
| ~ sQ80_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f3809,f694,f858,f1087]) ).
fof(f3950,plain,
( ~ sQ77_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f3687,f928,f848]) ).
fof(f3961,plain,
( ~ sQ21_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f3101,f746,f669]) ).
fof(f3963,plain,
( ~ sQ21_spl
| op(e1,op(e4,e0)) = e4 ),
inference(backward_demodulation,[status(thm)],[f670,f222]) ).
fof(f3984,plain,
( ~ sQ92_spl
| op(op(e3,e3),e2) = e3 ),
inference(backward_demodulation,[status(thm)],[f897,f220]) ).
fof(f4007,plain,
( ~ sQ119_spl
| e3 = e4 ),
inference(forward_demodulation,[status(thm)],[f356,f1911]) ).
fof(f4008,plain,
( ~ sQ119_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4007,f336]) ).
fof(f4009,plain,
~ sQ119_spl,
inference(contradiction_clause,[status(thm)],[f4008]) ).
fof(f4041,plain,
( ~ sQ43_spl
| op(e1,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f740,f292]) ).
fof(f4048,plain,
( ~ sQ43_spl
| op(e3,e3) = e1 ),
inference(backward_demodulation,[status(thm)],[f740,f345]) ).
fof(f4072,plain,
( ~ sQ102_spl
| op(e2,e0) = e4 ),
inference(backward_demodulation,[status(thm)],[f929,f357]) ).
fof(f4093,plain,
( ~ sQ62_spl
| op(e2,e2) = e2 ),
inference(backward_demodulation,[status(thm)],[f801,f349]) ).
fof(f4121,plain,
( ~ sQ80_spl
| e3 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f3806,f238]) ).
fof(f4129,plain,
( ~ sQ36_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f3325,f348]) ).
fof(f4130,plain,
( ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4129,f331]) ).
fof(f4131,plain,
~ sQ36_spl,
inference(contradiction_clause,[status(thm)],[f4130]) ).
fof(f4147,plain,
( sQ176_spl
| ~ sQ54_spl
| ~ sQ102_spl
| e3 != op(e2,op(e0,e2)) ),
inference(forward_demodulation,[status(thm)],[f929,f2945]) ).
fof(f4152,plain,
( ~ sQ54_spl
| ~ sQ14_spl
| op(e4,e4) = e0 ),
inference(forward_demodulation,[status(thm)],[f647,f3511]) ).
fof(f4156,plain,
( ~ sQ54_spl
| ~ sQ14_spl
| op(e4,e4) = e2 ),
inference(forward_demodulation,[status(thm)],[f647,f2957]) ).
fof(f4157,plain,
( ~ sQ54_spl
| ~ sQ14_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f4152,f4156]) ).
fof(f4158,plain,
( ~ sQ54_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4157,f328]) ).
fof(f4159,plain,
( ~ sQ54_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f4158]) ).
fof(f4182,plain,
( ~ sQ79_spl
| e3 != op(e4,e3) ),
inference(backward_demodulation,[status(thm)],[f4187,f319]) ).
fof(f4186,plain,
( ~ sQ79_spl
| op(e2,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f4187,f235]) ).
fof(f4187,plain,
( ~ sQ79_spl
| op(e4,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f855,f352]) ).
fof(f4219,plain,
( ~ sQ60_spl
| ~ sQ62_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f801,f795]) ).
fof(f4220,plain,
( ~ sQ60_spl
| ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4219,f328]) ).
fof(f4221,plain,
( ~ sQ60_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f4220]) ).
fof(f4247,plain,
( ~ sQ31_spl
| e1 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f3667,f241]) ).
fof(f4249,plain,
( ~ sQ37_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f1709,f797,f720]) ).
fof(f4277,plain,
( ~ sQ7_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f2545,f778,f624]) ).
fof(f4337,plain,
( ~ sQ14_spl
| ~ sQ51_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f3914,f944,f765,f646]) ).
fof(f4344,plain,
( ~ sQ14_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f3850,f954,f646]) ).
fof(f4364,plain,
( ~ sQ73_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f3064,f675,f835]) ).
fof(f4365,plain,
( sQ201_spl
| ~ sQ73_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f3067,f970,f835,f1322]) ).
fof(f4375,plain,
( ~ sQ27_spl
| ~ sQ71_spl ),
inference(split_clause,[status(thm)],[f2749,f829,f688]) ).
fof(f4382,plain,
( ~ sQ27_spl
| ~ sQ14_spl
| op(e4,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f647,f2753]) ).
fof(f4387,plain,
( sQ215_spl
| ~ sQ27_spl
| ~ sQ51_spl
| e3 != op(e2,op(e0,e2)) ),
inference(forward_demodulation,[status(thm)],[f3882,f2763]) ).
fof(f4388,plain,
( sQ215_spl
| ~ sQ27_spl
| ~ sQ51_spl
| ~ sQ14_spl
| e3 != op(e2,e4) ),
inference(forward_demodulation,[status(thm)],[f647,f4387]) ).
fof(f4389,plain,
( sQ215_spl
| ~ sQ27_spl
| ~ sQ51_spl
| ~ sQ14_spl
| ~ sQ73_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f836,f4388]) ).
fof(f4390,plain,
( sQ215_spl
| ~ sQ27_spl
| ~ sQ51_spl
| ~ sQ14_spl
| ~ sQ73_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4389]) ).
fof(f4391,plain,
( sQ215_spl
| ~ sQ27_spl
| ~ sQ51_spl
| ~ sQ14_spl
| ~ sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f4390]) ).
fof(f4392,plain,
( sQ214_spl
| ~ sQ27_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f2765,f646,f688,f1371]) ).
fof(f4401,plain,
( ~ sQ79_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f4182,f979,f854]) ).
fof(f4403,plain,
( ~ sQ79_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f4186,f771,f854]) ).
fof(f4422,plain,
( ~ sQ27_spl
| ~ sQ14_spl
| op(e2,e1) = e4 ),
inference(forward_demodulation,[status(thm)],[f4382,f358]) ).
fof(f4430,plain,
( sQ59_spl
| ~ sQ27_spl
| ~ sQ14_spl
| e4 != e4 ),
inference(forward_demodulation,[status(thm)],[f4422,f792]) ).
fof(f4431,plain,
( sQ59_spl
| ~ sQ27_spl
| ~ sQ14_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4430]) ).
fof(f4432,plain,
( sQ59_spl
| ~ sQ27_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f4431]) ).
fof(f4447,plain,
( ~ sQ57_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f3645,f344]) ).
fof(f4448,plain,
( ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4447,f331]) ).
fof(f4449,plain,
~ sQ57_spl,
inference(contradiction_clause,[status(thm)],[f4448]) ).
fof(f4490,plain,
( ~ sQ110_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f3815,f938,f954]) ).
fof(f4494,plain,
( ~ sQ40_spl
| e1 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f2379,f259]) ).
fof(f4504,plain,
( ~ sQ40_spl
| ~ sQ66_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f3173,f731]) ).
fof(f4505,plain,
( ~ sQ40_spl
| ~ sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4504,f328]) ).
fof(f4506,plain,
( ~ sQ40_spl
| ~ sQ66_spl ),
inference(contradiction_clause,[status(thm)],[f4505]) ).
fof(f4526,plain,
( ~ sQ96_spl
| op(e1,e4) = e3 ),
inference(backward_demodulation,[status(thm)],[f910,f356]) ).
fof(f4542,plain,
( ~ sQ22_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f3760,f826,f672]) ).
fof(f4575,plain,
( ~ sQ11_spl
| op(e1,e2) = e0 ),
inference(backward_demodulation,[status(thm)],[f638,f339]) ).
fof(f4580,plain,
( sQ176_spl
| ~ sQ54_spl
| ~ sQ102_spl
| ~ sQ11_spl
| e3 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f638,f4147]) ).
fof(f4597,plain,
( ~ sQ54_spl
| ~ sQ22_spl
| op(e2,e2) = e4 ),
inference(forward_demodulation,[status(thm)],[f673,f2941]) ).
fof(f4598,plain,
( ~ sQ54_spl
| ~ sQ22_spl
| sQ64_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4597,f808]) ).
fof(f4599,plain,
( ~ sQ54_spl
| ~ sQ22_spl
| sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f4598]) ).
fof(f4611,plain,
( sQ211_spl
| ~ sQ101_spl
| e3 != op(e0,e4) ),
inference(backward_demodulation,[status(thm)],[f4613,f1362]) ).
fof(f4613,plain,
( ~ sQ101_spl
| op(e1,e0) = e4 ),
inference(forward_demodulation,[status(thm)],[f926,f357]) ).
fof(f4638,plain,
( ~ sQ92_spl
| op(e2,e2) = e3 ),
inference(backward_demodulation,[status(thm)],[f897,f3984]) ).
fof(f4655,plain,
( ~ sQ62_spl
| e2 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f4093,f254]) ).
fof(f4661,plain,
( ~ sQ82_spl
| e2 != op(e4,e1) ),
inference(backward_demodulation,[status(thm)],[f865,f246]) ).
fof(f4665,plain,
( ~ sQ82_spl
| op(e2,e1) = e3 ),
inference(backward_demodulation,[status(thm)],[f865,f353]) ).
fof(f4671,plain,
( ~ sQ101_spl
| e4 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f4613,f289]) ).
fof(f4698,plain,
( ~ sQ71_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f2305,f669,f829]) ).
fof(f4699,plain,
( ~ sQ71_spl
| sQ47_spl ),
inference(split_clause,[status(thm)],[f2307,f752,f829]) ).
fof(f4732,plain,
( sQ178_spl
| ~ sQ53_spl
| e4 != op(e3,op(e0,e3)) ),
inference(forward_demodulation,[status(thm)],[f772,f3357]) ).
fof(f4784,plain,
( sQ151_spl
| ~ sQ14_spl
| ~ sQ53_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f4788,f1145]) ).
fof(f4788,plain,
( ~ sQ14_spl
| ~ sQ53_spl
| op(e4,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f772,f3794]) ).
fof(f4818,plain,
( ~ sQ21_spl
| ~ sQ101_spl
| op(e1,e1) = e4 ),
inference(forward_demodulation,[status(thm)],[f926,f3963]) ).
fof(f4819,plain,
( ~ sQ21_spl
| ~ sQ101_spl
| ~ sQ31_spl
| e1 = e4 ),
inference(forward_demodulation,[status(thm)],[f3667,f4818]) ).
fof(f4820,plain,
( ~ sQ21_spl
| ~ sQ101_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4819,f333]) ).
fof(f4821,plain,
( ~ sQ21_spl
| ~ sQ101_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f4820]) ).
fof(f4823,plain,
( ~ sQ110_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f3820,f646,f954]) ).
fof(f4852,plain,
( ~ sQ96_spl
| op(e0,e4) != e3 ),
inference(backward_demodulation,[status(thm)],[f4526,f267]) ).
fof(f4875,plain,
( ~ sQ122_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f3197,f806,f992]) ).
fof(f4894,plain,
( ~ sQ82_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f4661,f944,f864]) ).
fof(f4896,plain,
( ~ sQ82_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f4665,f787,f864]) ).
fof(f4923,plain,
( ~ sQ98_spl
| e3 = e4 ),
inference(forward_demodulation,[status(thm)],[f3709,f360]) ).
fof(f4924,plain,
( ~ sQ98_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4923,f336]) ).
fof(f4925,plain,
~ sQ98_spl,
inference(contradiction_clause,[status(thm)],[f4924]) ).
fof(f4943,plain,
( ~ sQ11_spl
| op(e1,e2) = e0 ),
inference(backward_demodulation,[status(thm)],[f638,f339]) ).
fof(f4974,plain,
( ~ sQ59_spl
| op(e2,e1) = e4 ),
inference(backward_demodulation,[status(thm)],[f2099,f358]) ).
fof(f4979,plain,
( ~ sQ59_spl
| ~ sQ11_spl
| op(e1,e0) = e4 ),
inference(backward_demodulation,[status(thm)],[f4991,f357]) ).
fof(f4991,plain,
( ~ sQ59_spl
| ~ sQ11_spl
| op(e4,e0) = e1 ),
inference(forward_demodulation,[status(thm)],[f4575,f2100]) ).
fof(f4996,plain,
( ~ sQ59_spl
| ~ sQ11_spl
| op(e2,e4) = e0 ),
inference(backward_demodulation,[status(thm)],[f4998,f341]) ).
fof(f4998,plain,
( ~ sQ59_spl
| ~ sQ11_spl
| op(e0,e4) = e2 ),
inference(forward_demodulation,[status(thm)],[f4575,f2101]) ).
fof(f5001,plain,
( ~ sQ59_spl
| e4 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f791,f302]) ).
fof(f5009,plain,
( ~ sQ113_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f3293,f643,f963]) ).
fof(f5010,plain,
( ~ sQ113_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f3294,f723,f963]) ).
fof(f5019,plain,
( ~ sQ113_spl
| op(e4,e2) = e3 ),
inference(backward_demodulation,[status(thm)],[f3295,f354]) ).
fof(f5022,plain,
( sQ186_spl
| ~ sQ113_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f3299,f810,f963,f1266]) ).
fof(f5029,plain,
( ~ sQ113_spl
| e3 != op(e4,e3) ),
inference(backward_demodulation,[status(thm)],[f964,f324]) ).
fof(f5034,plain,
( ~ sQ113_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f2796,f870,f963]) ).
fof(f5035,plain,
( ~ sQ101_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f2365,f605,f925]) ).
fof(f5045,plain,
( ~ sQ85_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f3270,f714,f874]) ).
fof(f5046,plain,
( ~ sQ85_spl
| ~ sQ11_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f638,f3271]) ).
fof(f5047,plain,
( ~ sQ85_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5046,f332]) ).
fof(f5048,plain,
( ~ sQ85_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f5047]) ).
fof(f5051,plain,
( ~ sQ62_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f3627,f960,f800]) ).
fof(f5055,plain,
( ~ sQ107_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f3863,f790,f944]) ).
fof(f5069,plain,
( ~ sQ109_spl
| e1 = e4 ),
inference(forward_demodulation,[status(thm)],[f346,f3148]) ).
fof(f5070,plain,
( ~ sQ109_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5069,f333]) ).
fof(f5071,plain,
~ sQ109_spl,
inference(contradiction_clause,[status(thm)],[f5070]) ).
fof(f5072,plain,
( ~ sQ38_spl
| sQ86_spl ),
inference(split_clause,[status(thm)],[f2127,f877,f723]) ).
fof(f5076,plain,
( ~ sQ62_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f4655,f880,f800]) ).
fof(f5080,plain,
( ~ sQ0_spl
| e0 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f603,f227]) ).
fof(f5150,plain,
( ~ sQ92_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f4638,f803,f896]) ).
fof(f5161,plain,
( ~ sQ94_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f1632,f979,f902]) ).
fof(f5167,plain,
( ~ sQ59_spl
| op(e0,e1) != e4 ),
inference(backward_demodulation,[status(thm)],[f4974,f238]) ).
fof(f5288,plain,
( ~ sQ80_spl
| ~ sQ26_spl
| op(e3,e1) = e1 ),
inference(forward_demodulation,[status(thm)],[f1756,f3925]) ).
fof(f5289,plain,
( ~ sQ80_spl
| ~ sQ26_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f859,f5288]) ).
fof(f5290,plain,
( ~ sQ80_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5289,f327]) ).
fof(f5291,plain,
( ~ sQ80_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f5290]) ).
fof(f5300,plain,
( ~ sQ35_spl
| e1 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f2628,f284]) ).
fof(f5305,plain,
( ~ sQ35_spl
| e1 != op(e0,e4) ),
inference(backward_demodulation,[status(thm)],[f2628,f285]) ).
fof(f5308,plain,
( ~ sQ35_spl
| e0 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f715,f294]) ).
fof(f5375,plain,
( ~ sQ113_spl
| op(e4,op(e2,e3)) = e2 ),
inference(backward_demodulation,[status(thm)],[f3295,f215]) ).
fof(f5378,plain,
( ~ sQ113_spl
| op(e4,e2) = e3 ),
inference(backward_demodulation,[status(thm)],[f3295,f354]) ).
fof(f5382,plain,
( ~ sQ113_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f5029,f979,f963]) ).
fof(f5439,plain,
( ~ sQ96_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f4852,f675,f909]) ).
fof(f5440,plain,
( ~ sQ96_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f4526,f755,f909]) ).
fof(f5465,plain,
( sQ211_spl
| ~ sQ101_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f4611,f675,f925,f1360]) ).
fof(f5466,plain,
( ~ sQ101_spl
| ~ sQ26_spl
| e1 = e4 ),
inference(forward_demodulation,[status(thm)],[f1756,f4613]) ).
fof(f5467,plain,
( ~ sQ101_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5466,f333]) ).
fof(f5468,plain,
( ~ sQ101_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f5467]) ).
fof(f5472,plain,
( ~ sQ101_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f4671,f742,f925]) ).
fof(f5505,plain,
( ~ sQ59_spl
| ~ sQ11_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f4979,f694,f637,f790]) ).
fof(f5518,plain,
( ~ sQ59_spl
| ~ sQ11_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f4996,f826,f637,f790]) ).
fof(f5565,plain,
( ~ sQ35_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f5300,f653,f714]) ).
fof(f5569,plain,
( ~ sQ35_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f5308,f730,f714]) ).
fof(f5602,plain,
( ~ sQ59_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f5001,f822,f790]) ).
fof(f5615,plain,
( ~ sQ65_spl
| op(e2,e3) = e0 ),
inference(backward_demodulation,[status(thm)],[f3015,f340]) ).
fof(f5626,plain,
( ~ sQ65_spl
| ~ sQ70_spl ),
inference(split_clause,[status(thm)],[f3007,f826,f810]) ).
fof(f5636,plain,
( ~ sQ31_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f4247,f781,f701]) ).
fof(f5645,plain,
( ~ sQ5_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f342,f2162]) ).
fof(f5646,plain,
( ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5645,f327]) ).
fof(f5647,plain,
~ sQ5_spl,
inference(contradiction_clause,[status(thm)],[f5646]) ).
fof(f5665,plain,
( sQ233_spl
| ~ sQ77_spl
| e1 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f3685,f1450]) ).
fof(f5684,plain,
( ~ sQ16_spl
| sQ233_spl
| ~ sQ77_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f654,f5665]) ).
fof(f5685,plain,
( ~ sQ16_spl
| sQ233_spl
| ~ sQ77_spl ),
inference(contradiction_clause,[status(thm)],[f5684]) ).
fof(f5692,plain,
( ~ sQ40_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f4494,f893,f730]) ).
fof(f5727,plain,
( sQ178_spl
| ~ sQ53_spl
| ~ sQ198_spl ),
inference(split_clause,[status(thm)],[f4732,f1311,f771,f1237]) ).
fof(f5804,plain,
( sQ151_spl
| ~ sQ14_spl
| ~ sQ53_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f4784,f877,f771,f646,f1143]) ).
fof(f5811,plain,
( ~ sQ14_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f3792,f886,f646]) ).
fof(f5865,plain,
( ~ sQ71_spl
| op(e2,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f830,f303]) ).
fof(f5882,plain,
( ~ sQ69_spl
| op(e0,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f5884,f260]) ).
fof(f5884,plain,
( ~ sQ69_spl
| op(e4,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f823,f350]) ).
fof(f5941,plain,
( ~ sQ95_spl
| ~ sQ101_spl
| op(e3,e1) = e4 ),
inference(forward_demodulation,[status(thm)],[f926,f2599]) ).
fof(f5988,plain,
( sQ235_spl
| ~ sQ29_spl
| ~ sQ23_spl
| e2 != op(e4,e3) ),
inference(forward_demodulation,[status(thm)],[f676,f3736]) ).
fof(f5989,plain,
( sQ235_spl
| ~ sQ29_spl
| ~ sQ23_spl
| ~ sQ69_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f5884,f5988]) ).
fof(f5990,plain,
( sQ235_spl
| ~ sQ29_spl
| ~ sQ23_spl
| ~ sQ69_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5989]) ).
fof(f5991,plain,
( sQ235_spl
| ~ sQ29_spl
| ~ sQ23_spl
| ~ sQ69_spl ),
inference(contradiction_clause,[status(thm)],[f5990]) ).
fof(f6008,plain,
( sQ84_spl
| ~ sQ95_spl
| ~ sQ101_spl
| e4 != e4 ),
inference(forward_demodulation,[status(thm)],[f5941,f872]) ).
fof(f6009,plain,
( sQ84_spl
| ~ sQ95_spl
| ~ sQ101_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6008]) ).
fof(f6010,plain,
( sQ84_spl
| ~ sQ95_spl
| ~ sQ101_spl ),
inference(contradiction_clause,[status(thm)],[f6009]) ).
fof(f6019,plain,
( sQ136_spl
| ~ sQ80_spl
| ~ sQ234_spl ),
inference(split_clause,[status(thm)],[f3812,f1453,f858,f1090]) ).
fof(f6059,plain,
( ~ sQ80_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f4121,f787,f858]) ).
fof(f6089,plain,
( ~ sQ42_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f2834,f976,f736]) ).
fof(f6090,plain,
( sQ157_spl
| ~ sQ42_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f2836,f886,f736,f1164]) ).
fof(f6199,plain,
( ~ sQ58_spl
| op(e3,op(e1,e2)) = e1 ),
inference(backward_demodulation,[status(thm)],[f788,f209]) ).
fof(f6200,plain,
( ~ sQ58_spl
| op(op(e1,e2),e3) = e2 ),
inference(backward_demodulation,[status(thm)],[f788,f213]) ).
fof(f6342,plain,
( ~ sQ85_spl
| ~ sQ117_spl
| op(e0,e4) = e2 ),
inference(forward_demodulation,[status(thm)],[f3789,f3542]) ).
fof(f6377,plain,
( sQ196_spl
| ~ sQ16_spl
| ~ sQ82_spl
| e4 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f865,f2321]) ).
fof(f6420,plain,
( ~ sQ39_spl
| sQ196_spl
| ~ sQ16_spl
| ~ sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f727,f6377]) ).
fof(f6421,plain,
( ~ sQ39_spl
| sQ196_spl
| ~ sQ16_spl
| ~ sQ82_spl ),
inference(contradiction_clause,[status(thm)],[f6420]) ).
fof(f6424,plain,
( ~ sQ39_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f2529,f694,f726]) ).
fof(f6429,plain,
( ~ sQ9_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f3571,f938,f630]) ).
fof(f6440,plain,
( ~ sQ9_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f3592,f970,f630]) ).
fof(f6450,plain,
( ~ sQ111_spl
| op(e1,e2) = e4 ),
inference(backward_demodulation,[status(thm)],[f958,f359]) ).
fof(f6462,plain,
( ~ sQ13_spl
| op(e0,e2) = e3 ),
inference(backward_demodulation,[status(thm)],[f3560,f354]) ).
fof(f6468,plain,
( ~ sQ0_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f5080,f682,f602]) ).
fof(f6504,plain,
( ~ sQ69_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f5882,f656,f822]) ).
fof(f6541,plain,
( ~ sQ76_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f2410,f691,f845]) ).
fof(f6573,plain,
( sQ144_spl
| ~ sQ113_spl
| e1 != op(op(e4,e2),op(e2,e3)) ),
inference(backward_demodulation,[status(thm)],[f5019,f1120]) ).
fof(f6576,plain,
( ~ sQ113_spl
| ~ sQ69_spl
| op(e4,e4) = e2 ),
inference(forward_demodulation,[status(thm)],[f823,f5375]) ).
fof(f6577,plain,
( ~ sQ113_spl
| ~ sQ69_spl
| ~ sQ124_spl
| e4 = e2 ),
inference(forward_demodulation,[status(thm)],[f3833,f6576]) ).
fof(f6578,plain,
( ~ sQ113_spl
| ~ sQ69_spl
| ~ sQ124_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6577,f335]) ).
fof(f6579,plain,
( ~ sQ113_spl
| ~ sQ69_spl
| ~ sQ124_spl ),
inference(contradiction_clause,[status(thm)],[f6578]) ).
fof(f6603,plain,
( ~ sQ71_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f5865,f781,f829]) ).
fof(f6641,plain,
( ~ sQ95_spl
| ~ sQ69_spl
| op(e2,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f5884,f2374]) ).
fof(f6642,plain,
( ~ sQ95_spl
| ~ sQ69_spl
| ~ sQ102_spl
| e4 = e3 ),
inference(forward_demodulation,[status(thm)],[f4072,f6641]) ).
fof(f6643,plain,
( ~ sQ95_spl
| ~ sQ69_spl
| ~ sQ102_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6642,f336]) ).
fof(f6644,plain,
( ~ sQ95_spl
| ~ sQ69_spl
| ~ sQ102_spl ),
inference(contradiction_clause,[status(thm)],[f6643]) ).
fof(f6678,plain,
( ~ sQ59_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f5167,f630,f790]) ).
fof(f6682,plain,
( ~ sQ59_spl
| ~ sQ111_spl
| op(e4,e4) = e1 ),
inference(forward_demodulation,[status(thm)],[f6450,f2100]) ).
fof(f6683,plain,
( ~ sQ59_spl
| ~ sQ111_spl
| ~ sQ124_spl
| e4 = e1 ),
inference(forward_demodulation,[status(thm)],[f3833,f6682]) ).
fof(f6684,plain,
( ~ sQ59_spl
| ~ sQ111_spl
| ~ sQ124_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6683,f333]) ).
fof(f6685,plain,
( ~ sQ59_spl
| ~ sQ111_spl
| ~ sQ124_spl ),
inference(contradiction_clause,[status(thm)],[f6684]) ).
fof(f6707,plain,
( ~ sQ111_spl
| e1 != op(e4,e3) ),
inference(forward_demodulation,[status(thm)],[f958,f324]) ).
fof(f6741,plain,
( ~ sQ43_spl
| op(e1,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f4048,f3085]) ).
fof(f6742,plain,
( ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6741,f4041]) ).
fof(f6743,plain,
~ sQ43_spl,
inference(contradiction_clause,[status(thm)],[f6742]) ).
fof(f6756,plain,
( ~ sQ13_spl
| op(e3,e2) = e0 ),
inference(backward_demodulation,[status(thm)],[f6462,f339]) ).
fof(f6760,plain,
( ~ sQ13_spl
| op(e0,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f6462,f281]) ).
fof(f6830,plain,
( ~ sQ117_spl
| op(e0,e3) != e4 ),
inference(backward_demodulation,[status(thm)],[f3789,f258]) ).
fof(f6890,plain,
( ~ sQ58_spl
| ~ sQ111_spl
| op(e4,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f6450,f6200]) ).
fof(f6971,plain,
( sQ195_spl
| ~ sQ16_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f2326,f864,f653,f1300]) ).
fof(f7044,plain,
( ~ sQ85_spl
| ~ sQ117_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f6342,f672,f976,f874]) ).
fof(f7096,plain,
( sQ141_spl
| ~ sQ39_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f2040,f835,f726,f1108]) ).
fof(f7097,plain,
( sQ244_spl
| ~ sQ39_spl
| ~ sQ201_spl ),
inference(split_clause,[status(thm)],[f2524,f1322,f726,f1498]) ).
fof(f7119,plain,
( ~ sQ13_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f6756,f874,f643]) ).
fof(f7123,plain,
( ~ sQ13_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f6760,f627,f643]) ).
fof(f7147,plain,
( ~ sQ117_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f6830,f662,f976]) ).
fof(f7246,plain,
( ~ sQ58_spl
| ~ sQ111_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f6890,f976,f957,f787]) ).
fof(f7252,plain,
( ~ sQ111_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f6707,f973,f957]) ).
fof(f7352,plain,
( sQ148_spl
| ~ sQ85_spl
| ~ sQ13_spl
| e1 != op(e0,op(e2,e0)) ),
inference(forward_demodulation,[status(thm)],[f3560,f3262]) ).
fof(f7353,plain,
( sQ148_spl
| ~ sQ85_spl
| ~ sQ13_spl
| ~ sQ54_spl
| e1 != op(e0,e4) ),
inference(forward_demodulation,[status(thm)],[f775,f7352]) ).
fof(f7354,plain,
( sQ148_spl
| ~ sQ85_spl
| ~ sQ13_spl
| ~ sQ54_spl
| ~ sQ21_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f670,f7353]) ).
fof(f7355,plain,
( sQ148_spl
| ~ sQ85_spl
| ~ sQ13_spl
| ~ sQ54_spl
| ~ sQ21_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7354]) ).
fof(f7356,plain,
( sQ148_spl
| ~ sQ85_spl
| ~ sQ13_spl
| ~ sQ54_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f7355]) ).
fof(f7482,plain,
( sQ144_spl
| ~ sQ113_spl
| e1 != op(e3,op(e2,e3)) ),
inference(forward_demodulation,[status(thm)],[f5378,f6573]) ).
fof(f7483,plain,
( sQ144_spl
| ~ sQ113_spl
| ~ sQ65_spl
| e1 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f5615,f7482]) ).
fof(f7543,plain,
( sQ176_spl
| ~ sQ54_spl
| ~ sQ102_spl
| ~ sQ11_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f4580,f787,f637,f928,f774,f1230]) ).
fof(f7549,plain,
( ~ sQ58_spl
| ~ sQ11_spl
| op(e3,e0) = e1 ),
inference(forward_demodulation,[status(thm)],[f4943,f6199]) ).
fof(f7550,plain,
( ~ sQ58_spl
| ~ sQ11_spl
| sQ144_spl
| ~ sQ113_spl
| ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7549,f7483]) ).
fof(f7551,plain,
( ~ sQ58_spl
| ~ sQ11_spl
| sQ144_spl
| ~ sQ113_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f7550]) ).
fof(f7602,plain,
( ~ sQ35_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f2629,f746,f714]) ).
fof(f7606,plain,
( ~ sQ35_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f5305,f669,f714]) ).
fof(f7676,plain,
$false,
inference(sat_refutation,[status(thm)],[f649,f665,f681,f729,f745,f777,f793,f825,f841,f905,f921,f937,f969,f985,f1002,f1004,f1006,f1010,f1011,f1013,f1014,f1016,f1018,f1021,f1023,f1024,f1025,f1026,f1030,f1032,f1033,f1035,f1036,f1037,f1040,f1043,f1045,f1046,f1047,f1049,f1050,f1093,f1135,f1306,f1317,f1359,f1377,f1415,f1421,f1429,f1451,f1488,f1512,f1525,f1604,f1642,f1729,f1748,f1751,f1792,f1829,f1870,f1900,f2004,f2023,f2073,f2130,f2133,f2139,f2142,f2145,f2155,f2158,f2161,f2179,f2181,f2233,f2282,f2304,f2314,f2319,f2342,f2437,f2444,f2502,f2522,f2562,f2582,f2614,f2651,f2696,f2712,f2730,f2778,f2831,f2880,f2889,f3021,f3088,f3091,f3108,f3127,f3212,f3272,f3309,f3350,f3419,f3454,f3457,f3459,f3462,f3509,f3517,f3537,f3597,f3689,f3731,f3732,f3735,f3773,f3798,f3831,f3839,f3887,f3888,f3934,f3950,f3961,f4009,f4131,f4159,f4221,f4249,f4277,f4337,f4344,f4364,f4365,f4375,f4391,f4392,f4401,f4403,f4432,f4449,f4490,f4506,f4542,f4599,f4698,f4699,f4821,f4823,f4875,f4894,f4896,f4925,f5009,f5010,f5022,f5034,f5035,f5045,f5048,f5051,f5055,f5071,f5072,f5076,f5150,f5161,f5291,f5382,f5439,f5440,f5465,f5468,f5472,f5505,f5518,f5565,f5569,f5602,f5626,f5636,f5647,f5685,f5692,f5727,f5804,f5811,f5991,f6010,f6019,f6059,f6089,f6090,f6421,f6424,f6429,f6440,f6468,f6504,f6541,f6579,f6603,f6644,f6678,f6685,f6743,f6971,f7044,f7096,f7097,f7119,f7123,f7147,f7246,f7252,f7356,f7543,f7551,f7602,f7606]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG193+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n011.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 13:01:11 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.38 % Drodi V4.1.1
% 0.14/0.63 % Refutation found
% 0.14/0.63 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.63 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.67 % Elapsed time: 0.301842 seconds
% 0.14/0.67 % CPU time: 1.745826 seconds
% 0.14/0.67 % Total memory used: 48.103 MB
% 0.14/0.67 % Net memory used: 47.702 MB
%------------------------------------------------------------------------------