%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG170+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 : n016.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 11:48:46 AM UTC 2026
% Result : Theorem 0.12s 0.45s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 142
% Syntax : Number of formulae : 792 ( 186 unt; 135 def)
% Number of atoms : 2461 (1463 equ)
% Maximal formula atoms : 250 ( 3 avg)
% Number of connectives : 2790 (1121 ~;1079 |; 449 &)
% ( 141 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 137 ( 135 usr; 136 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,
( e3 = op(op(e4,op(e4,e4)),op(e4,op(e4,e4)))
& e2 = op(op(e4,op(e4,e4)),op(e4,e4))
& e1 = op(e4,e4)
& e0 = op(e4,op(e4,e4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,conjecture,
~ ( ( ( op(e4,e4) != e4
& op(e4,e3) != e3
& op(e4,e2) != e2
& op(e4,e1) != e1
& op(e4,e0) != e0 )
| ( op(e3,e4) != e4
& op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0 )
| ( op(e2,e4) != e4
& op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0 )
| ( op(e1,e4) != e4
& op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0 )
| ( op(e0,e4) != e4
& op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0 ) )
& ( ( op(e4,e4) != e4
& op(e3,e4) != e3
& op(e2,e4) != e2
& op(e1,e4) != e1
& op(e0,e4) != e0 )
| ( op(e4,e3) != e4
& op(e3,e3) != e3
& op(e2,e3) != e2
& op(e1,e3) != e1
& op(e0,e3) != e0 )
| ( op(e4,e2) != e4
& op(e3,e2) != e3
& op(e2,e2) != e2
& op(e1,e2) != e1
& op(e0,e2) != e0 )
| ( op(e4,e1) != e4
& op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0 )
| ( op(e4,e0) != e4
& op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
~ ~ ( ( ( op(e4,e4) != e4
& op(e4,e3) != e3
& op(e4,e2) != e2
& op(e4,e1) != e1
& op(e4,e0) != e0 )
| ( op(e3,e4) != e4
& op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0 )
| ( op(e2,e4) != e4
& op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0 )
| ( op(e1,e4) != e4
& op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0 )
| ( op(e0,e4) != e4
& op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0 ) )
& ( ( op(e4,e4) != e4
& op(e3,e4) != e3
& op(e2,e4) != e2
& op(e1,e4) != e1
& op(e0,e4) != e0 )
| ( op(e4,e3) != e4
& op(e3,e3) != e3
& op(e2,e3) != e2
& op(e1,e3) != e1
& op(e0,e3) != e0 )
| ( op(e4,e2) != e4
& op(e3,e2) != e3
& op(e2,e2) != e2
& op(e1,e2) != e1
& op(e0,e2) != e0 )
| ( op(e4,e1) != e4
& op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0 )
| ( op(e4,e0) != e4
& op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0 ) ) ),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f11,plain,
( op(e0,e2) = e4
| op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f12,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(f13,plain,
( op(e0,e4) = e4
| op(e0,e4) = e3
| op(e0,e4) = e2
| op(e0,e4) = e1
| op(e0,e4) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f14,plain,
( op(e1,e0) = e4
| op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f17,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(f18,plain,
( op(e1,e4) = e4
| op(e1,e4) = e3
| op(e1,e4) = e2
| op(e1,e4) = e1
| op(e1,e4) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f21,plain,
( op(e2,e2) = e4
| op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f24,plain,
( op(e3,e0) = e4
| op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f25,plain,
( op(e3,e1) = e4
| op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f28,plain,
( op(e3,e4) = e4
| op(e3,e4) = e3
| op(e3,e4) = e2
| op(e3,e4) = e1
| op(e3,e4) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f29,plain,
( op(e4,e0) = e4
| op(e4,e0) = e3
| op(e4,e0) = e2
| op(e4,e0) = e1
| op(e4,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f31,plain,
( op(e4,e2) = e4
| op(e4,e2) = e3
| op(e4,e2) = e2
| op(e4,e2) = e1
| op(e4,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f33,plain,
( op(e4,e4) = e4
| op(e4,e4) = e3
| op(e4,e4) = e2
| op(e4,e4) = e1
| op(e4,e4) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f35,plain,
( op(e4,e0) = e0
| op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f37,plain,
( op(e4,e0) = e1
| op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f44,plain,
( op(e1,e4) = e0
| op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f46,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(f47,plain,
( op(e4,e1) = e1
| op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f59,plain,
( op(e4,e2) = e2
| op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f62,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(f66,plain,
( op(e3,e4) = e1
| op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f68,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(f69,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(f73,plain,
( op(e4,e3) = e4
| op(e3,e3) = e4
| op(e2,e3) = e4
| op(e1,e3) = e4
| op(e0,e3) = e4 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f75,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(f80,plain,
( op(e4,e4) = e3
| op(e4,e3) = e3
| op(e4,e2) = e3
| op(e4,e1) = e3
| op(e4,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f81,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(f82,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(f84,plain,
op(op(e0,e0),op(e0,e0)) = e0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f85,plain,
op(op(e1,e0),op(e0,e1)) = e0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f89,plain,
op(op(e0,e1),op(e1,e0)) = e1,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f93,plain,
op(op(e4,e1),op(e1,e4)) = e1,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f96,plain,
op(op(e2,e2),op(e2,e2)) = e2,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f99,plain,
op(op(e0,e3),op(e3,e0)) = e3,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f101,plain,
op(op(e2,e3),op(e3,e2)) = e3,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f102,plain,
op(op(e3,e3),op(e3,e3)) = e3,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f105,plain,
op(op(e1,e4),op(e4,e1)) = e4,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f107,plain,
op(op(e3,e4),op(e4,e3)) = e4,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f108,plain,
op(op(e4,e4),op(e4,e4)) = e4,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f109,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f111,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f112,plain,
op(e0,e0) != op(e4,e0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f114,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f116,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f117,plain,
op(e2,e0) != op(e4,e0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f118,plain,
op(e3,e0) != op(e4,e0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f119,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f120,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f121,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f123,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f124,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f126,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f127,plain,
op(e2,e1) != op(e4,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f129,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f132,plain,
op(e0,e2) != op(e4,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f133,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f136,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f137,plain,
op(e2,e2) != op(e4,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f139,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f140,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f141,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f144,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f145,plain,
op(e1,e3) != op(e4,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f146,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f147,plain,
op(e2,e3) != op(e4,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f149,plain,
op(e0,e4) != op(e1,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f152,plain,
op(e0,e4) != op(e4,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f153,plain,
op(e1,e4) != op(e2,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f154,plain,
op(e1,e4) != op(e3,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f155,plain,
op(e1,e4) != op(e4,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f157,plain,
op(e2,e4) != op(e4,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f158,plain,
op(e3,e4) != op(e4,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f160,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f161,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f162,plain,
op(e0,e0) != op(e0,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f163,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f164,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f165,plain,
op(e0,e1) != op(e0,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f166,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f167,plain,
op(e0,e2) != op(e0,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f168,plain,
op(e0,e3) != op(e0,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f169,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f171,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f172,plain,
op(e1,e0) != op(e1,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f173,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f174,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f176,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f179,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f180,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f182,plain,
op(e2,e0) != op(e2,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f183,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f186,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f187,plain,
op(e2,e2) != op(e2,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f189,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f191,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f192,plain,
op(e3,e0) != op(e3,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f194,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f195,plain,
op(e3,e1) != op(e3,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f196,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f197,plain,
op(e3,e2) != op(e3,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f198,plain,
op(e3,e3) != op(e3,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f199,plain,
op(e4,e0) != op(e4,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f200,plain,
op(e4,e0) != op(e4,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f202,plain,
op(e4,e0) != op(e4,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f203,plain,
op(e4,e1) != op(e4,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f207,plain,
op(e4,e2) != op(e4,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f208,plain,
op(e4,e3) != op(e4,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f209,plain,
e0 != e1,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f210,plain,
e0 != e2,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f211,plain,
e0 != e3,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f212,plain,
e0 != e4,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f213,plain,
e1 != e2,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f214,plain,
e1 != e3,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f215,plain,
e1 != e4,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f216,plain,
e2 != e3,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f217,plain,
e2 != e4,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f218,plain,
e3 != e4,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f219,plain,
e0 = op(e4,op(e4,e4)),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f220,plain,
e1 = op(e4,e4),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f221,plain,
e2 = op(op(e4,op(e4,e4)),op(e4,e4)),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f222,plain,
e3 = op(op(e4,op(e4,e4)),op(e4,op(e4,e4))),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f223,definition,
( sP0_prd
<=> ( ( op(e4,e3) != e4
& op(e3,e3) != e3
& op(e2,e3) != e2
& op(e1,e3) != e1
& op(e0,e3) != e0 )
| ( op(e4,e2) != e4
& op(e3,e2) != e3
& op(e2,e2) != e2
& op(e1,e2) != e1
& op(e0,e2) != e0 )
| ( op(e4,e1) != e4
& op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0 )
| ( op(e4,e0) != e4
& op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f224,definition,
( sP1_prd
<=> ( ( op(e3,e4) != e4
& op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0 )
| ( op(e2,e4) != e4
& op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0 )
| ( op(e1,e4) != e4
& op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0 )
| ( op(e0,e4) != e4
& op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f225,plain,
( ( ( op(e4,e4) != e4
& op(e4,e3) != e3
& op(e4,e2) != e2
& op(e4,e1) != e1
& op(e4,e0) != e0 )
| sP1_prd )
& ( ( op(e4,e4) != e4
& op(e3,e4) != e3
& op(e2,e4) != e2
& op(e1,e4) != e1
& op(e0,e4) != e0 )
| sP0_prd ) ),
inference(formula_renaming,[status(thm)],[f8,f224,f223]) ).
fof(f226,plain,
( op(e0,e4) != e0
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f225]) ).
fof(f234,plain,
( op(e4,e3) != e3
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f225]) ).
fof(f236,definition,
( sP2_prd
<=> ( ( op(e4,e2) != e4
& op(e3,e2) != e3
& op(e2,e2) != e2
& op(e1,e2) != e1
& op(e0,e2) != e0 )
| ( op(e4,e1) != e4
& op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0 )
| ( op(e4,e0) != e4
& op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f237,plain,
( sP0_prd
<=> ( ( op(e4,e3) != e4
& op(e3,e3) != e3
& op(e2,e3) != e2
& op(e1,e3) != e1
& op(e0,e3) != e0 )
| sP2_prd ) ),
inference(formula_renaming,[status(thm)],[f223,f236]) ).
fof(f238,plain,
( ( ( ( op(e4,e3) = e4
| op(e3,e3) = e3
| op(e2,e3) = e2
| op(e1,e3) = e1
| op(e0,e3) = e0 )
& ~ sP2_prd )
| sP0_prd )
& ( ( op(e4,e3) != e4
& op(e3,e3) != e3
& op(e2,e3) != e2
& op(e1,e3) != e1
& op(e0,e3) != e0 )
| sP2_prd
| ~ sP0_prd ) ),
inference(NNF_transformation,[status(thm)],[f237]) ).
fof(f243,plain,
( op(e4,e3) != e4
| sP2_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f238]) ).
fof(f246,definition,
( sP3_prd
<=> ( ( op(e2,e4) != e4
& op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0 )
| ( op(e1,e4) != e4
& op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0 )
| ( op(e0,e4) != e4
& op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f247,plain,
( sP1_prd
<=> ( ( op(e3,e4) != e4
& op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0 )
| sP3_prd ) ),
inference(formula_renaming,[status(thm)],[f224,f246]) ).
fof(f248,plain,
( ( ( ( op(e3,e4) = e4
| op(e3,e3) = e3
| op(e3,e2) = e2
| op(e3,e1) = e1
| op(e3,e0) = e0 )
& ~ sP3_prd )
| sP1_prd )
& ( ( op(e3,e4) != e4
& op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0 )
| sP3_prd
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f247]) ).
fof(f250,plain,
( op(e3,e1) != e1
| sP3_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f248]) ).
fof(f254,plain,
( ~ sP3_prd
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f248]) ).
fof(f256,definition,
( sP4_prd
<=> ( ( op(e4,e1) != e4
& op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0 )
| ( op(e4,e0) != e4
& op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f257,plain,
( sP2_prd
<=> ( ( op(e4,e2) != e4
& op(e3,e2) != e3
& op(e2,e2) != e2
& op(e1,e2) != e1
& op(e0,e2) != e0 )
| sP4_prd ) ),
inference(formula_renaming,[status(thm)],[f236,f256]) ).
fof(f258,plain,
( ( ( ( op(e4,e2) = e4
| op(e3,e2) = e3
| op(e2,e2) = e2
| op(e1,e2) = e1
| op(e0,e2) = e0 )
& ~ sP4_prd )
| sP2_prd )
& ( ( op(e4,e2) != e4
& op(e3,e2) != e3
& op(e2,e2) != e2
& op(e1,e2) != e1
& op(e0,e2) != e0 )
| sP4_prd
| ~ sP2_prd ) ),
inference(NNF_transformation,[status(thm)],[f257]) ).
fof(f261,plain,
( op(e2,e2) != e2
| sP4_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f258]) ).
fof(f266,definition,
( sP5_prd
<=> ( ( op(e1,e4) != e4
& op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0 )
| ( op(e0,e4) != e4
& op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f267,plain,
( sP3_prd
<=> ( ( op(e2,e4) != e4
& op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0 )
| sP5_prd ) ),
inference(formula_renaming,[status(thm)],[f246,f266]) ).
fof(f268,plain,
( ( ( ( op(e2,e4) = e4
| op(e2,e3) = e3
| op(e2,e2) = e2
| op(e2,e1) = e1
| op(e2,e0) = e0 )
& ~ sP5_prd )
| sP3_prd )
& ( ( op(e2,e4) != e4
& op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0 )
| sP5_prd
| ~ sP3_prd ) ),
inference(NNF_transformation,[status(thm)],[f267]) ).
fof(f271,plain,
( op(e2,e2) != e2
| sP5_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f268]) ).
fof(f274,plain,
( ~ sP5_prd
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f268]) ).
fof(f276,definition,
( sP6_prd
<=> ( op(e4,e0) != e4
& op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f277,plain,
( sP4_prd
<=> ( ( op(e4,e1) != e4
& op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0 )
| sP6_prd ) ),
inference(formula_renaming,[status(thm)],[f256,f276]) ).
fof(f278,plain,
( ( ( ( op(e4,e1) = e4
| op(e3,e1) = e3
| op(e2,e1) = e2
| op(e1,e1) = e1
| op(e0,e1) = e0 )
& ~ sP6_prd )
| sP4_prd )
& ( ( op(e4,e1) != e4
& op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0 )
| sP6_prd
| ~ sP4_prd ) ),
inference(NNF_transformation,[status(thm)],[f277]) ).
fof(f282,plain,
( op(e3,e1) != e3
| sP6_prd
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f278]) ).
fof(f286,definition,
( sP7_prd
<=> ( op(e0,e4) != e4
& op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).
fof(f287,plain,
( sP5_prd
<=> ( ( op(e1,e4) != e4
& op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0 )
| sP7_prd ) ),
inference(formula_renaming,[status(thm)],[f266,f286]) ).
fof(f288,plain,
( ( ( ( op(e1,e4) = e4
| op(e1,e3) = e3
| op(e1,e2) = e2
| op(e1,e1) = e1
| op(e1,e0) = e0 )
& ~ sP7_prd )
| sP5_prd )
& ( ( op(e1,e4) != e4
& op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0 )
| sP7_prd
| ~ sP5_prd ) ),
inference(NNF_transformation,[status(thm)],[f287]) ).
fof(f289,plain,
( op(e1,e0) != e0
| sP7_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f288]) ).
fof(f294,plain,
( ~ sP7_prd
| sP5_prd ),
inference(cnf_transformation,[status(thm)],[f288]) ).
fof(f296,plain,
( ( op(e4,e0) = e4
| op(e3,e0) = e3
| op(e2,e0) = e2
| op(e1,e0) = e1
| op(e0,e0) = e0
| sP6_prd )
& ( ( op(e4,e0) != e4
& op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0 )
| ~ sP6_prd ) ),
inference(NNF_transformation,[status(thm)],[f276]) ).
fof(f298,plain,
( op(e1,e0) != e1
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f296]) ).
fof(f303,plain,
( ( op(e0,e4) = e4
| op(e0,e3) = e3
| op(e0,e2) = e2
| op(e0,e1) = e1
| op(e0,e0) = e0
| sP7_prd )
& ( ( op(e0,e4) != e4
& op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0 )
| ~ sP7_prd ) ),
inference(NNF_transformation,[status(thm)],[f286]) ).
fof(f308,plain,
( op(e0,e4) != e4
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f303]) ).
fof(f309,plain,
( op(e0,e4) = e4
| op(e0,e3) = e3
| op(e0,e2) = e2
| op(e0,e1) = e1
| op(e0,e0) = e0
| sP7_prd ),
inference(cnf_transformation,[status(thm)],[f303]) ).
fof(f310,definition,
( sQ0_spl
<=> op(e0,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f311,plain,
( ~ sQ0_spl
| op(e0,e0) = e0 ),
inference(component_clause,[status(thm)],[f310]) ).
fof(f313,definition,
( sQ1_spl
<=> op(e0,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f314,plain,
( ~ sQ1_spl
| op(e0,e0) = e1 ),
inference(component_clause,[status(thm)],[f313]) ).
fof(f316,definition,
( sQ2_spl
<=> op(e0,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f317,plain,
( ~ sQ2_spl
| op(e0,e0) = e2 ),
inference(component_clause,[status(thm)],[f316]) ).
fof(f319,definition,
( sQ3_spl
<=> op(e0,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f320,plain,
( ~ sQ3_spl
| op(e0,e0) = e3 ),
inference(component_clause,[status(thm)],[f319]) ).
fof(f321,plain,
( sQ3_spl
| op(e0,e0) != e3 ),
inference(component_clause,[status(thm)],[f319]) ).
fof(f322,definition,
( sQ4_spl
<=> op(e0,e0) = e4 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f323,plain,
( ~ sQ4_spl
| op(e0,e0) = e4 ),
inference(component_clause,[status(thm)],[f322]) ).
fof(f326,definition,
( sQ5_spl
<=> op(e0,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f327,plain,
( ~ sQ5_spl
| op(e0,e1) = e0 ),
inference(component_clause,[status(thm)],[f326]) ).
fof(f329,definition,
( sQ6_spl
<=> op(e0,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f330,plain,
( ~ sQ6_spl
| op(e0,e1) = e1 ),
inference(component_clause,[status(thm)],[f329]) ).
fof(f332,definition,
( sQ7_spl
<=> op(e0,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f333,plain,
( ~ sQ7_spl
| op(e0,e1) = e2 ),
inference(component_clause,[status(thm)],[f332]) ).
fof(f334,plain,
( sQ7_spl
| op(e0,e1) != e2 ),
inference(component_clause,[status(thm)],[f332]) ).
fof(f335,definition,
( sQ8_spl
<=> op(e0,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f336,plain,
( ~ sQ8_spl
| op(e0,e1) = e3 ),
inference(component_clause,[status(thm)],[f335]) ).
fof(f338,definition,
( sQ9_spl
<=> op(e0,e1) = e4 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f339,plain,
( ~ sQ9_spl
| op(e0,e1) = e4 ),
inference(component_clause,[status(thm)],[f338]) ).
fof(f342,definition,
( sQ10_spl
<=> op(e0,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f343,plain,
( ~ sQ10_spl
| op(e0,e2) = e0 ),
inference(component_clause,[status(thm)],[f342]) ).
fof(f345,definition,
( sQ11_spl
<=> op(e0,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f346,plain,
( ~ sQ11_spl
| op(e0,e2) = e1 ),
inference(component_clause,[status(thm)],[f345]) ).
fof(f348,definition,
( sQ12_spl
<=> op(e0,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f349,plain,
( ~ sQ12_spl
| op(e0,e2) = e2 ),
inference(component_clause,[status(thm)],[f348]) ).
fof(f351,definition,
( sQ13_spl
<=> op(e0,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f352,plain,
( ~ sQ13_spl
| op(e0,e2) = e3 ),
inference(component_clause,[status(thm)],[f351]) ).
fof(f354,definition,
( sQ14_spl
<=> op(e0,e2) = e4 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f355,plain,
( ~ sQ14_spl
| op(e0,e2) = e4 ),
inference(component_clause,[status(thm)],[f354]) ).
fof(f357,plain,
( sQ14_spl
| sQ13_spl
| sQ12_spl
| sQ11_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f11,f342,f345,f348,f351,f354]) ).
fof(f358,definition,
( sQ15_spl
<=> op(e0,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f359,plain,
( ~ sQ15_spl
| op(e0,e3) = e0 ),
inference(component_clause,[status(thm)],[f358]) ).
fof(f361,definition,
( sQ16_spl
<=> op(e0,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f362,plain,
( ~ sQ16_spl
| op(e0,e3) = e1 ),
inference(component_clause,[status(thm)],[f361]) ).
fof(f364,definition,
( sQ17_spl
<=> op(e0,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f365,plain,
( ~ sQ17_spl
| op(e0,e3) = e2 ),
inference(component_clause,[status(thm)],[f364]) ).
fof(f367,definition,
( sQ18_spl
<=> op(e0,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f368,plain,
( ~ sQ18_spl
| op(e0,e3) = e3 ),
inference(component_clause,[status(thm)],[f367]) ).
fof(f370,definition,
( sQ19_spl
<=> op(e0,e3) = e4 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f371,plain,
( ~ sQ19_spl
| op(e0,e3) = e4 ),
inference(component_clause,[status(thm)],[f370]) ).
fof(f373,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f12,f358,f361,f364,f367,f370]) ).
fof(f374,definition,
( sQ20_spl
<=> op(e0,e4) = e0 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f375,plain,
( ~ sQ20_spl
| op(e0,e4) = e0 ),
inference(component_clause,[status(thm)],[f374]) ).
fof(f377,definition,
( sQ21_spl
<=> op(e0,e4) = e1 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f378,plain,
( ~ sQ21_spl
| op(e0,e4) = e1 ),
inference(component_clause,[status(thm)],[f377]) ).
fof(f380,definition,
( sQ22_spl
<=> op(e0,e4) = e2 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f381,plain,
( ~ sQ22_spl
| op(e0,e4) = e2 ),
inference(component_clause,[status(thm)],[f380]) ).
fof(f383,definition,
( sQ23_spl
<=> op(e0,e4) = e3 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f384,plain,
( ~ sQ23_spl
| op(e0,e4) = e3 ),
inference(component_clause,[status(thm)],[f383]) ).
fof(f386,definition,
( sQ24_spl
<=> op(e0,e4) = e4 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f387,plain,
( ~ sQ24_spl
| op(e0,e4) = e4 ),
inference(component_clause,[status(thm)],[f386]) ).
fof(f389,plain,
( sQ24_spl
| sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f13,f374,f377,f380,f383,f386]) ).
fof(f390,definition,
( sQ25_spl
<=> op(e1,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f391,plain,
( ~ sQ25_spl
| op(e1,e0) = e0 ),
inference(component_clause,[status(thm)],[f390]) ).
fof(f393,definition,
( sQ26_spl
<=> op(e1,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f394,plain,
( ~ sQ26_spl
| op(e1,e0) = e1 ),
inference(component_clause,[status(thm)],[f393]) ).
fof(f396,definition,
( sQ27_spl
<=> op(e1,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f397,plain,
( ~ sQ27_spl
| op(e1,e0) = e2 ),
inference(component_clause,[status(thm)],[f396]) ).
fof(f399,definition,
( sQ28_spl
<=> op(e1,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f400,plain,
( ~ sQ28_spl
| op(e1,e0) = e3 ),
inference(component_clause,[status(thm)],[f399]) ).
fof(f402,definition,
( sQ29_spl
<=> op(e1,e0) = e4 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f403,plain,
( ~ sQ29_spl
| op(e1,e0) = e4 ),
inference(component_clause,[status(thm)],[f402]) ).
fof(f405,plain,
( sQ29_spl
| sQ28_spl
| sQ27_spl
| sQ26_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f14,f390,f393,f396,f399,f402]) ).
fof(f406,definition,
( sQ30_spl
<=> op(e1,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f407,plain,
( ~ sQ30_spl
| op(e1,e1) = e0 ),
inference(component_clause,[status(thm)],[f406]) ).
fof(f409,definition,
( sQ31_spl
<=> op(e1,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f410,plain,
( ~ sQ31_spl
| op(e1,e1) = e1 ),
inference(component_clause,[status(thm)],[f409]) ).
fof(f412,definition,
( sQ32_spl
<=> op(e1,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f413,plain,
( ~ sQ32_spl
| op(e1,e1) = e2 ),
inference(component_clause,[status(thm)],[f412]) ).
fof(f415,definition,
( sQ33_spl
<=> op(e1,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f416,plain,
( ~ sQ33_spl
| op(e1,e1) = e3 ),
inference(component_clause,[status(thm)],[f415]) ).
fof(f418,definition,
( sQ34_spl
<=> op(e1,e1) = e4 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f419,plain,
( ~ sQ34_spl
| op(e1,e1) = e4 ),
inference(component_clause,[status(thm)],[f418]) ).
fof(f420,plain,
( sQ34_spl
| op(e1,e1) != e4 ),
inference(component_clause,[status(thm)],[f418]) ).
fof(f422,definition,
( sQ35_spl
<=> op(e1,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f423,plain,
( ~ sQ35_spl
| op(e1,e2) = e0 ),
inference(component_clause,[status(thm)],[f422]) ).
fof(f425,definition,
( sQ36_spl
<=> op(e1,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f428,definition,
( sQ37_spl
<=> op(e1,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f429,plain,
( ~ sQ37_spl
| op(e1,e2) = e2 ),
inference(component_clause,[status(thm)],[f428]) ).
fof(f434,definition,
( sQ39_spl
<=> op(e1,e2) = e4 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f435,plain,
( ~ sQ39_spl
| op(e1,e2) = e4 ),
inference(component_clause,[status(thm)],[f434]) ).
fof(f438,definition,
( sQ40_spl
<=> op(e1,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f439,plain,
( ~ sQ40_spl
| op(e1,e3) = e0 ),
inference(component_clause,[status(thm)],[f438]) ).
fof(f441,definition,
( sQ41_spl
<=> op(e1,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f444,definition,
( sQ42_spl
<=> op(e1,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f445,plain,
( ~ sQ42_spl
| op(e1,e3) = e2 ),
inference(component_clause,[status(thm)],[f444]) ).
fof(f447,definition,
( sQ43_spl
<=> op(e1,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f450,definition,
( sQ44_spl
<=> op(e1,e3) = e4 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f451,plain,
( ~ sQ44_spl
| op(e1,e3) = e4 ),
inference(component_clause,[status(thm)],[f450]) ).
fof(f453,plain,
( sQ44_spl
| sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f17,f438,f441,f444,f447,f450]) ).
fof(f454,definition,
( sQ45_spl
<=> op(e1,e4) = e0 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f455,plain,
( ~ sQ45_spl
| op(e1,e4) = e0 ),
inference(component_clause,[status(thm)],[f454]) ).
fof(f457,definition,
( sQ46_spl
<=> op(e1,e4) = e1 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f458,plain,
( ~ sQ46_spl
| op(e1,e4) = e1 ),
inference(component_clause,[status(thm)],[f457]) ).
fof(f460,definition,
( sQ47_spl
<=> op(e1,e4) = e2 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f461,plain,
( ~ sQ47_spl
| op(e1,e4) = e2 ),
inference(component_clause,[status(thm)],[f460]) ).
fof(f463,definition,
( sQ48_spl
<=> op(e1,e4) = e3 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f464,plain,
( ~ sQ48_spl
| op(e1,e4) = e3 ),
inference(component_clause,[status(thm)],[f463]) ).
fof(f466,definition,
( sQ49_spl
<=> op(e1,e4) = e4 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f467,plain,
( ~ sQ49_spl
| op(e1,e4) = e4 ),
inference(component_clause,[status(thm)],[f466]) ).
fof(f469,plain,
( sQ49_spl
| sQ48_spl
| sQ47_spl
| sQ46_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f18,f454,f457,f460,f463,f466]) ).
fof(f470,definition,
( sQ50_spl
<=> op(e2,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f471,plain,
( ~ sQ50_spl
| op(e2,e0) = e0 ),
inference(component_clause,[status(thm)],[f470]) ).
fof(f473,definition,
( sQ51_spl
<=> op(e2,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f474,plain,
( ~ sQ51_spl
| op(e2,e0) = e1 ),
inference(component_clause,[status(thm)],[f473]) ).
fof(f476,definition,
( sQ52_spl
<=> op(e2,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f482,definition,
( sQ54_spl
<=> op(e2,e0) = e4 ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f483,plain,
( ~ sQ54_spl
| op(e2,e0) = e4 ),
inference(component_clause,[status(thm)],[f482]) ).
fof(f486,definition,
( sQ55_spl
<=> op(e2,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f487,plain,
( ~ sQ55_spl
| op(e2,e1) = e0 ),
inference(component_clause,[status(thm)],[f486]) ).
fof(f489,definition,
( sQ56_spl
<=> op(e2,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f490,plain,
( ~ sQ56_spl
| op(e2,e1) = e1 ),
inference(component_clause,[status(thm)],[f489]) ).
fof(f492,definition,
( sQ57_spl
<=> op(e2,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f493,plain,
( ~ sQ57_spl
| op(e2,e1) = e2 ),
inference(component_clause,[status(thm)],[f492]) ).
fof(f495,definition,
( sQ58_spl
<=> op(e2,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f496,plain,
( ~ sQ58_spl
| op(e2,e1) = e3 ),
inference(component_clause,[status(thm)],[f495]) ).
fof(f498,definition,
( sQ59_spl
<=> op(e2,e1) = e4 ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f499,plain,
( ~ sQ59_spl
| op(e2,e1) = e4 ),
inference(component_clause,[status(thm)],[f498]) ).
fof(f502,definition,
( sQ60_spl
<=> op(e2,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f503,plain,
( ~ sQ60_spl
| op(e2,e2) = e0 ),
inference(component_clause,[status(thm)],[f502]) ).
fof(f505,definition,
( sQ61_spl
<=> op(e2,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f508,definition,
( sQ62_spl
<=> op(e2,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f509,plain,
( ~ sQ62_spl
| op(e2,e2) = e2 ),
inference(component_clause,[status(thm)],[f508]) ).
fof(f511,definition,
( sQ63_spl
<=> op(e2,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f512,plain,
( ~ sQ63_spl
| op(e2,e2) = e3 ),
inference(component_clause,[status(thm)],[f511]) ).
fof(f514,definition,
( sQ64_spl
<=> op(e2,e2) = e4 ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f515,plain,
( ~ sQ64_spl
| op(e2,e2) = e4 ),
inference(component_clause,[status(thm)],[f514]) ).
fof(f517,plain,
( sQ64_spl
| sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f21,f502,f505,f508,f511,f514]) ).
fof(f518,definition,
( sQ65_spl
<=> op(e2,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f519,plain,
( ~ sQ65_spl
| op(e2,e3) = e0 ),
inference(component_clause,[status(thm)],[f518]) ).
fof(f524,definition,
( sQ67_spl
<=> op(e2,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f527,definition,
( sQ68_spl
<=> op(e2,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f528,plain,
( ~ sQ68_spl
| op(e2,e3) = e3 ),
inference(component_clause,[status(thm)],[f527]) ).
fof(f530,definition,
( sQ69_spl
<=> op(e2,e3) = e4 ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f531,plain,
( ~ sQ69_spl
| op(e2,e3) = e4 ),
inference(component_clause,[status(thm)],[f530]) ).
fof(f534,definition,
( sQ70_spl
<=> op(e2,e4) = e0 ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f535,plain,
( ~ sQ70_spl
| op(e2,e4) = e0 ),
inference(component_clause,[status(thm)],[f534]) ).
fof(f537,definition,
( sQ71_spl
<=> op(e2,e4) = e1 ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f538,plain,
( ~ sQ71_spl
| op(e2,e4) = e1 ),
inference(component_clause,[status(thm)],[f537]) ).
fof(f540,definition,
( sQ72_spl
<=> op(e2,e4) = e2 ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f543,definition,
( sQ73_spl
<=> op(e2,e4) = e3 ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f546,definition,
( sQ74_spl
<=> op(e2,e4) = e4 ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f547,plain,
( ~ sQ74_spl
| op(e2,e4) = e4 ),
inference(component_clause,[status(thm)],[f546]) ).
fof(f550,definition,
( sQ75_spl
<=> op(e3,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f551,plain,
( ~ sQ75_spl
| op(e3,e0) = e0 ),
inference(component_clause,[status(thm)],[f550]) ).
fof(f553,definition,
( sQ76_spl
<=> op(e3,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f554,plain,
( ~ sQ76_spl
| op(e3,e0) = e1 ),
inference(component_clause,[status(thm)],[f553]) ).
fof(f556,definition,
( sQ77_spl
<=> op(e3,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f557,plain,
( ~ sQ77_spl
| op(e3,e0) = e2 ),
inference(component_clause,[status(thm)],[f556]) ).
fof(f559,definition,
( sQ78_spl
<=> op(e3,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f560,plain,
( ~ sQ78_spl
| op(e3,e0) = e3 ),
inference(component_clause,[status(thm)],[f559]) ).
fof(f562,definition,
( sQ79_spl
<=> op(e3,e0) = e4 ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f563,plain,
( ~ sQ79_spl
| op(e3,e0) = e4 ),
inference(component_clause,[status(thm)],[f562]) ).
fof(f565,plain,
( sQ79_spl
| sQ78_spl
| sQ77_spl
| sQ76_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f24,f550,f553,f556,f559,f562]) ).
fof(f566,definition,
( sQ80_spl
<=> op(e3,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f567,plain,
( ~ sQ80_spl
| op(e3,e1) = e0 ),
inference(component_clause,[status(thm)],[f566]) ).
fof(f569,definition,
( sQ81_spl
<=> op(e3,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f570,plain,
( ~ sQ81_spl
| op(e3,e1) = e1 ),
inference(component_clause,[status(thm)],[f569]) ).
fof(f572,definition,
( sQ82_spl
<=> op(e3,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f573,plain,
( ~ sQ82_spl
| op(e3,e1) = e2 ),
inference(component_clause,[status(thm)],[f572]) ).
fof(f575,definition,
( sQ83_spl
<=> op(e3,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f576,plain,
( ~ sQ83_spl
| op(e3,e1) = e3 ),
inference(component_clause,[status(thm)],[f575]) ).
fof(f578,definition,
( sQ84_spl
<=> op(e3,e1) = e4 ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f581,plain,
( sQ84_spl
| sQ83_spl
| sQ82_spl
| sQ81_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f25,f566,f569,f572,f575,f578]) ).
fof(f582,definition,
( sQ85_spl
<=> op(e3,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f585,definition,
( sQ86_spl
<=> op(e3,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f586,plain,
( ~ sQ86_spl
| op(e3,e2) = e1 ),
inference(component_clause,[status(thm)],[f585]) ).
fof(f588,definition,
( sQ87_spl
<=> op(e3,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f589,plain,
( ~ sQ87_spl
| op(e3,e2) = e2 ),
inference(component_clause,[status(thm)],[f588]) ).
fof(f598,definition,
( sQ90_spl
<=> op(e3,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f599,plain,
( ~ sQ90_spl
| op(e3,e3) = e0 ),
inference(component_clause,[status(thm)],[f598]) ).
fof(f600,plain,
( sQ90_spl
| op(e3,e3) != e0 ),
inference(component_clause,[status(thm)],[f598]) ).
fof(f601,definition,
( sQ91_spl
<=> op(e3,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f602,plain,
( ~ sQ91_spl
| op(e3,e3) = e1 ),
inference(component_clause,[status(thm)],[f601]) ).
fof(f604,definition,
( sQ92_spl
<=> op(e3,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f605,plain,
( ~ sQ92_spl
| op(e3,e3) = e2 ),
inference(component_clause,[status(thm)],[f604]) ).
fof(f607,definition,
( sQ93_spl
<=> op(e3,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f608,plain,
( ~ sQ93_spl
| op(e3,e3) = e3 ),
inference(component_clause,[status(thm)],[f607]) ).
fof(f610,definition,
( sQ94_spl
<=> op(e3,e3) = e4 ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f611,plain,
( ~ sQ94_spl
| op(e3,e3) = e4 ),
inference(component_clause,[status(thm)],[f610]) ).
fof(f614,definition,
( sQ95_spl
<=> op(e3,e4) = e0 ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f615,plain,
( ~ sQ95_spl
| op(e3,e4) = e0 ),
inference(component_clause,[status(thm)],[f614]) ).
fof(f617,definition,
( sQ96_spl
<=> op(e3,e4) = e1 ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f618,plain,
( ~ sQ96_spl
| op(e3,e4) = e1 ),
inference(component_clause,[status(thm)],[f617]) ).
fof(f620,definition,
( sQ97_spl
<=> op(e3,e4) = e2 ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f621,plain,
( ~ sQ97_spl
| op(e3,e4) = e2 ),
inference(component_clause,[status(thm)],[f620]) ).
fof(f623,definition,
( sQ98_spl
<=> op(e3,e4) = e3 ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f624,plain,
( ~ sQ98_spl
| op(e3,e4) = e3 ),
inference(component_clause,[status(thm)],[f623]) ).
fof(f626,definition,
( sQ99_spl
<=> op(e3,e4) = e4 ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f629,plain,
( sQ99_spl
| sQ98_spl
| sQ97_spl
| sQ96_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f28,f614,f617,f620,f623,f626]) ).
fof(f630,definition,
( sQ100_spl
<=> op(e4,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f631,plain,
( ~ sQ100_spl
| op(e4,e0) = e0 ),
inference(component_clause,[status(thm)],[f630]) ).
fof(f633,definition,
( sQ101_spl
<=> op(e4,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f634,plain,
( ~ sQ101_spl
| op(e4,e0) = e1 ),
inference(component_clause,[status(thm)],[f633]) ).
fof(f636,definition,
( sQ102_spl
<=> op(e4,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f637,plain,
( ~ sQ102_spl
| op(e4,e0) = e2 ),
inference(component_clause,[status(thm)],[f636]) ).
fof(f639,definition,
( sQ103_spl
<=> op(e4,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f640,plain,
( ~ sQ103_spl
| op(e4,e0) = e3 ),
inference(component_clause,[status(thm)],[f639]) ).
fof(f642,definition,
( sQ104_spl
<=> op(e4,e0) = e4 ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f643,plain,
( ~ sQ104_spl
| op(e4,e0) = e4 ),
inference(component_clause,[status(thm)],[f642]) ).
fof(f645,plain,
( sQ104_spl
| sQ103_spl
| sQ102_spl
| sQ101_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f29,f630,f633,f636,f639,f642]) ).
fof(f646,definition,
( sQ105_spl
<=> op(e4,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f647,plain,
( ~ sQ105_spl
| op(e4,e1) = e0 ),
inference(component_clause,[status(thm)],[f646]) ).
fof(f648,plain,
( sQ105_spl
| op(e4,e1) != e0 ),
inference(component_clause,[status(thm)],[f646]) ).
fof(f649,definition,
( sQ106_spl
<=> op(e4,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f650,plain,
( ~ sQ106_spl
| op(e4,e1) = e1 ),
inference(component_clause,[status(thm)],[f649]) ).
fof(f652,definition,
( sQ107_spl
<=> op(e4,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f653,plain,
( ~ sQ107_spl
| op(e4,e1) = e2 ),
inference(component_clause,[status(thm)],[f652]) ).
fof(f655,definition,
( sQ108_spl
<=> op(e4,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f656,plain,
( ~ sQ108_spl
| op(e4,e1) = e3 ),
inference(component_clause,[status(thm)],[f655]) ).
fof(f658,definition,
( sQ109_spl
<=> op(e4,e1) = e4 ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f659,plain,
( ~ sQ109_spl
| op(e4,e1) = e4 ),
inference(component_clause,[status(thm)],[f658]) ).
fof(f662,definition,
( sQ110_spl
<=> op(e4,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f663,plain,
( ~ sQ110_spl
| op(e4,e2) = e0 ),
inference(component_clause,[status(thm)],[f662]) ).
fof(f665,definition,
( sQ111_spl
<=> op(e4,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f666,plain,
( ~ sQ111_spl
| op(e4,e2) = e1 ),
inference(component_clause,[status(thm)],[f665]) ).
fof(f668,definition,
( sQ112_spl
<=> op(e4,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f671,definition,
( sQ113_spl
<=> op(e4,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f672,plain,
( ~ sQ113_spl
| op(e4,e2) = e3 ),
inference(component_clause,[status(thm)],[f671]) ).
fof(f673,plain,
( sQ113_spl
| op(e4,e2) != e3 ),
inference(component_clause,[status(thm)],[f671]) ).
fof(f674,definition,
( sQ114_spl
<=> op(e4,e2) = e4 ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f675,plain,
( ~ sQ114_spl
| op(e4,e2) = e4 ),
inference(component_clause,[status(thm)],[f674]) ).
fof(f677,plain,
( sQ114_spl
| sQ113_spl
| sQ112_spl
| sQ111_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f31,f662,f665,f668,f671,f674]) ).
fof(f681,definition,
( sQ116_spl
<=> op(e4,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f682,plain,
( ~ sQ116_spl
| op(e4,e3) = e1 ),
inference(component_clause,[status(thm)],[f681]) ).
fof(f684,definition,
( sQ117_spl
<=> op(e4,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f685,plain,
( ~ sQ117_spl
| op(e4,e3) = e2 ),
inference(component_clause,[status(thm)],[f684]) ).
fof(f687,definition,
( sQ118_spl
<=> op(e4,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f688,plain,
( ~ sQ118_spl
| op(e4,e3) = e3 ),
inference(component_clause,[status(thm)],[f687]) ).
fof(f690,definition,
( sQ119_spl
<=> op(e4,e3) = e4 ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f694,definition,
( sQ120_spl
<=> op(e4,e4) = e0 ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f695,plain,
( ~ sQ120_spl
| op(e4,e4) = e0 ),
inference(component_clause,[status(thm)],[f694]) ).
fof(f697,definition,
( sQ121_spl
<=> op(e4,e4) = e1 ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f700,definition,
( sQ122_spl
<=> op(e4,e4) = e2 ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f701,plain,
( ~ sQ122_spl
| op(e4,e4) = e2 ),
inference(component_clause,[status(thm)],[f700]) ).
fof(f703,definition,
( sQ123_spl
<=> op(e4,e4) = e3 ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f704,plain,
( ~ sQ123_spl
| op(e4,e4) = e3 ),
inference(component_clause,[status(thm)],[f703]) ).
fof(f706,definition,
( sQ124_spl
<=> op(e4,e4) = e4 ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f707,plain,
( ~ sQ124_spl
| op(e4,e4) = e4 ),
inference(component_clause,[status(thm)],[f706]) ).
fof(f709,plain,
( sQ124_spl
| sQ123_spl
| sQ122_spl
| sQ121_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f33,f694,f697,f700,f703,f706]) ).
fof(f711,plain,
( sQ100_spl
| sQ75_spl
| sQ50_spl
| sQ25_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f35,f310,f390,f470,f550,f630]) ).
fof(f713,plain,
( sQ101_spl
| sQ76_spl
| sQ51_spl
| sQ26_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f37,f313,f393,f473,f553,f633]) ).
fof(f720,plain,
( sQ45_spl
| sQ40_spl
| sQ35_spl
| sQ30_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f44,f390,f406,f422,f438,f454]) ).
fof(f722,plain,
( sQ46_spl
| sQ41_spl
| sQ36_spl
| sQ31_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f46,f393,f409,f425,f441,f457]) ).
fof(f723,plain,
( sQ106_spl
| sQ81_spl
| sQ56_spl
| sQ31_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f47,f329,f409,f489,f569,f649]) ).
fof(f735,plain,
( sQ112_spl
| sQ87_spl
| sQ62_spl
| sQ37_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f59,f348,f428,f508,f588,f668]) ).
fof(f738,plain,
( sQ74_spl
| sQ69_spl
| sQ64_spl
| sQ59_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f62,f482,f498,f514,f530,f546]) ).
fof(f742,plain,
( sQ96_spl
| sQ91_spl
| sQ86_spl
| sQ81_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f66,f553,f569,f585,f601,f617]) ).
fof(f744,plain,
( sQ97_spl
| sQ92_spl
| sQ87_spl
| sQ82_spl
| sQ77_spl ),
inference(split_clause,[status(thm)],[f68,f556,f572,f588,f604,f620]) ).
fof(f745,plain,
( sQ117_spl
| sQ92_spl
| sQ67_spl
| sQ42_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f69,f364,f444,f524,f604,f684]) ).
fof(f749,plain,
( sQ119_spl
| sQ94_spl
| sQ69_spl
| sQ44_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f73,f370,f450,f530,f610,f690]) ).
fof(f751,plain,
( sQ120_spl
| sQ95_spl
| sQ70_spl
| sQ45_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f75,f374,f454,f534,f614,f694]) ).
fof(f756,plain,
( sQ123_spl
| sQ118_spl
| sQ113_spl
| sQ108_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f80,f639,f655,f671,f687,f703]) ).
fof(f757,plain,
( sQ123_spl
| sQ98_spl
| sQ73_spl
| sQ48_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f81,f383,f463,f543,f623,f703]) ).
fof(f758,plain,
( sQ124_spl
| sQ119_spl
| sQ114_spl
| sQ109_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f82,f642,f658,f674,f690,f706]) ).
fof(f760,definition,
( sQ125_spl
<=> sP0_prd ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f763,plain,
( ~ sQ20_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f226,f760,f374]) ).
fof(f768,definition,
( sQ126_spl
<=> sP1_prd ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f774,plain,
( ~ sQ118_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f234,f768,f687]) ).
fof(f776,definition,
( sQ127_spl
<=> sP2_prd ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f783,plain,
( ~ sQ119_spl
| sQ127_spl
| ~ sQ125_spl ),
inference(split_clause,[status(thm)],[f243,f760,f776,f690]) ).
fof(f786,definition,
( sQ128_spl
<=> sP3_prd ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f790,plain,
( ~ sQ81_spl
| sQ128_spl
| ~ sQ126_spl ),
inference(split_clause,[status(thm)],[f250,f768,f786,f569]) ).
fof(f794,plain,
( ~ sQ128_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f254,f768,f786]) ).
fof(f796,definition,
( sQ129_spl
<=> sP4_prd ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f801,plain,
( ~ sQ62_spl
| sQ129_spl
| ~ sQ127_spl ),
inference(split_clause,[status(thm)],[f261,f776,f796,f508]) ).
fof(f806,definition,
( sQ130_spl
<=> sP5_prd ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f811,plain,
( ~ sQ62_spl
| sQ130_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f271,f786,f806,f508]) ).
fof(f814,plain,
( ~ sQ130_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f274,f786,f806]) ).
fof(f816,definition,
( sQ131_spl
<=> sP6_prd ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f822,plain,
( ~ sQ83_spl
| sQ131_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f282,f796,f816,f575]) ).
fof(f826,definition,
( sQ132_spl
<=> sP7_prd ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f829,plain,
( ~ sQ25_spl
| sQ132_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f289,f806,f826,f390]) ).
fof(f834,plain,
( ~ sQ132_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f294,f806,f826]) ).
fof(f837,plain,
( ~ sQ26_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f298,f816,f393]) ).
fof(f846,plain,
( ~ sQ24_spl
| ~ sQ132_spl ),
inference(split_clause,[status(thm)],[f308,f826,f386]) ).
fof(f847,plain,
( sQ24_spl
| sQ18_spl
| sQ12_spl
| sQ6_spl
| sQ0_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f309,f826,f310,f329,f348,f367,f386]) ).
fof(f848,plain,
( ~ sQ123_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f220,f704]) ).
fof(f849,plain,
( ~ sQ123_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f848,f214]) ).
fof(f850,plain,
~ sQ123_spl,
inference(contradiction_clause,[status(thm)],[f849]) ).
fof(f855,plain,
( ~ sQ122_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f220,f701]) ).
fof(f856,plain,
( ~ sQ122_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f855,f213]) ).
fof(f857,plain,
~ sQ122_spl,
inference(contradiction_clause,[status(thm)],[f856]) ).
fof(f885,plain,
( ~ sQ120_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f220,f695]) ).
fof(f886,plain,
( ~ sQ120_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f885,f209]) ).
fof(f887,plain,
~ sQ120_spl,
inference(contradiction_clause,[status(thm)],[f886]) ).
fof(f891,plain,
( ~ sQ94_spl
| op(op(e3,e3),e4) = e3 ),
inference(backward_demodulation,[status(thm)],[f611,f102]) ).
fof(f892,plain,
( ~ sQ94_spl
| op(e4,e4) = e3 ),
inference(forward_demodulation,[status(thm)],[f611,f891]) ).
fof(f893,plain,
( ~ sQ94_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f220,f892]) ).
fof(f894,plain,
( ~ sQ94_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f893,f214]) ).
fof(f895,plain,
~ sQ94_spl,
inference(contradiction_clause,[status(thm)],[f894]) ).
fof(f896,plain,
( ~ sQ69_spl
| op(e4,op(e3,e2)) = e3 ),
inference(backward_demodulation,[status(thm)],[f531,f101]) ).
fof(f902,plain,
( ~ sQ45_spl
| op(e0,op(e4,e1)) = e4 ),
inference(forward_demodulation,[status(thm)],[f455,f105]) ).
fof(f903,plain,
( ~ sQ45_spl
| ~ sQ105_spl
| op(op(e0,e0),e4) = e0 ),
inference(backward_demodulation,[status(thm)],[f904,f84]) ).
fof(f904,plain,
( ~ sQ45_spl
| ~ sQ105_spl
| op(e0,e0) = e4 ),
inference(forward_demodulation,[status(thm)],[f647,f902]) ).
fof(f905,plain,
( ~ sQ45_spl
| ~ sQ105_spl
| op(e4,e4) = e0 ),
inference(forward_demodulation,[status(thm)],[f904,f903]) ).
fof(f906,plain,
( ~ sQ45_spl
| ~ sQ105_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f220,f905]) ).
fof(f907,plain,
( ~ sQ45_spl
| ~ sQ105_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f906,f209]) ).
fof(f908,plain,
( ~ sQ45_spl
| ~ sQ105_spl ),
inference(contradiction_clause,[status(thm)],[f907]) ).
fof(f917,plain,
op(e1,op(e4,e4)) = e4,
inference(forward_demodulation,[status(thm)],[f220,f108]) ).
fof(f918,plain,
op(e1,e1) = e4,
inference(forward_demodulation,[status(thm)],[f220,f917]) ).
fof(f933,plain,
( ~ sQ77_spl
| ~ sQ79_spl
| e4 = e2 ),
inference(forward_demodulation,[status(thm)],[f563,f557]) ).
fof(f934,plain,
( ~ sQ77_spl
| ~ sQ79_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f933,f217]) ).
fof(f935,plain,
( ~ sQ77_spl
| ~ sQ79_spl ),
inference(contradiction_clause,[status(thm)],[f934]) ).
fof(f939,plain,
( ~ sQ74_spl
| ~ sQ70_spl
| e0 = e4 ),
inference(forward_demodulation,[status(thm)],[f535,f547]) ).
fof(f940,plain,
( ~ sQ74_spl
| ~ sQ70_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f939,f212]) ).
fof(f941,plain,
( ~ sQ74_spl
| ~ sQ70_spl ),
inference(contradiction_clause,[status(thm)],[f940]) ).
fof(f966,plain,
( ~ sQ76_spl
| op(e1,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f554,f114]) ).
fof(f968,plain,
( ~ sQ76_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f966,f393,f553]) ).
fof(f972,plain,
( ~ sQ64_spl
| op(op(e2,e2),e4) = e2 ),
inference(backward_demodulation,[status(thm)],[f515,f96]) ).
fof(f973,plain,
( ~ sQ64_spl
| op(e4,e4) = e2 ),
inference(forward_demodulation,[status(thm)],[f515,f972]) ).
fof(f974,plain,
( ~ sQ64_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f220,f973]) ).
fof(f975,plain,
( ~ sQ64_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f974,f213]) ).
fof(f976,plain,
~ sQ64_spl,
inference(contradiction_clause,[status(thm)],[f975]) ).
fof(f981,plain,
( ~ sQ54_spl
| e4 != op(e4,e0) ),
inference(backward_demodulation,[status(thm)],[f483,f117]) ).
fof(f982,plain,
( ~ sQ54_spl
| e4 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f483,f116]) ).
fof(f1025,plain,
( ~ sQ62_spl
| ~ sQ63_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f512,f509]) ).
fof(f1026,plain,
( ~ sQ62_spl
| ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1025,f216]) ).
fof(f1027,plain,
( ~ sQ62_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f1026]) ).
fof(f1034,plain,
( ~ sQ34_spl
| e4 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f419,f124]) ).
fof(f1042,plain,
( ~ sQ55_spl
| e0 != op(e4,e1) ),
inference(forward_demodulation,[status(thm)],[f487,f127]) ).
fof(f1043,plain,
( ~ sQ33_spl
| ~ sQ34_spl
| e4 = e3 ),
inference(forward_demodulation,[status(thm)],[f419,f416]) ).
fof(f1044,plain,
( ~ sQ33_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1043,f218]) ).
fof(f1045,plain,
( ~ sQ33_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f1044]) ).
fof(f1046,plain,
( ~ sQ9_spl
| e4 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f339,f119]) ).
fof(f1052,plain,
( ~ sQ11_spl
| e1 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f346,f129]) ).
fof(f1060,plain,
( ~ sQ50_spl
| ~ sQ51_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f474,f471]) ).
fof(f1061,plain,
( ~ sQ50_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1060,f209]) ).
fof(f1062,plain,
( ~ sQ50_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f1061]) ).
fof(f1063,plain,
( ~ sQ37_spl
| ~ sQ35_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f423,f429]) ).
fof(f1064,plain,
( ~ sQ37_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1063,f210]) ).
fof(f1065,plain,
( ~ sQ37_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f1064]) ).
fof(f1075,plain,
( ~ sQ32_spl
| e2 = e4 ),
inference(forward_demodulation,[status(thm)],[f413,f918]) ).
fof(f1076,plain,
( ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1075,f217]) ).
fof(f1077,plain,
~ sQ32_spl,
inference(contradiction_clause,[status(thm)],[f1076]) ).
fof(f1082,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| e4 = e3 ),
inference(forward_demodulation,[status(thm)],[f323,f320]) ).
fof(f1083,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1082,f218]) ).
fof(f1084,plain,
( ~ sQ3_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f1083]) ).
fof(f1099,plain,
( ~ sQ11_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f1052,f425,f345]) ).
fof(f1100,plain,
( ~ sQ8_spl
| ~ sQ7_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f333,f336]) ).
fof(f1101,plain,
( ~ sQ8_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1100,f216]) ).
fof(f1102,plain,
( ~ sQ8_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f1101]) ).
fof(f1115,plain,
( ~ sQ68_spl
| e3 != op(e4,e3) ),
inference(backward_demodulation,[status(thm)],[f528,f147]) ).
fof(f1118,plain,
op(e0,e4) != e1,
inference(forward_demodulation,[status(thm)],[f220,f152]) ).
fof(f1122,plain,
( ~ sQ3_spl
| ~ sQ0_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f311,f320]) ).
fof(f1123,plain,
( ~ sQ3_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1122,f211]) ).
fof(f1124,plain,
( ~ sQ3_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f1123]) ).
fof(f1125,plain,
op(e1,e4) != e1,
inference(forward_demodulation,[status(thm)],[f220,f155]) ).
fof(f1127,plain,
( ~ sQ60_spl
| op(e1,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f503,f133]) ).
fof(f1133,plain,
( ~ sQ49_spl
| e4 != op(e3,e4) ),
inference(backward_demodulation,[status(thm)],[f467,f154]) ).
fof(f1134,plain,
( ~ sQ49_spl
| e4 != op(e2,e4) ),
inference(backward_demodulation,[status(thm)],[f467,f153]) ).
fof(f1135,plain,
( ~ sQ49_spl
| op(e0,e4) != e4 ),
inference(backward_demodulation,[status(thm)],[f467,f149]) ).
fof(f1136,plain,
( ~ sQ49_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f1133,f626,f466]) ).
fof(f1137,plain,
( ~ sQ49_spl
| ~ sQ74_spl ),
inference(split_clause,[status(thm)],[f1134,f546,f466]) ).
fof(f1138,plain,
( ~ sQ49_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f1135,f386,f466]) ).
fof(f1146,plain,
( ~ sQ9_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f1046,f418,f338]) ).
fof(f1151,plain,
( ~ sQ124_spl
| e1 = e4 ),
inference(forward_demodulation,[status(thm)],[f220,f707]) ).
fof(f1152,plain,
( ~ sQ124_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1151,f215]) ).
fof(f1153,plain,
~ sQ124_spl,
inference(contradiction_clause,[status(thm)],[f1152]) ).
fof(f1162,plain,
( ~ sQ55_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f1042,f646,f486]) ).
fof(f1167,plain,
op(e2,e4) != e1,
inference(forward_demodulation,[status(thm)],[f220,f157]) ).
fof(f1168,plain,
op(e3,e4) != e1,
inference(forward_demodulation,[status(thm)],[f220,f158]) ).
fof(f1201,plain,
op(e1,e0) != e4,
inference(forward_demodulation,[status(thm)],[f918,f169]) ).
fof(f1203,plain,
e4 != op(e1,e2),
inference(forward_demodulation,[status(thm)],[f918,f173]) ).
fof(f1206,plain,
e4 != op(e1,e3),
inference(forward_demodulation,[status(thm)],[f918,f174]) ).
fof(f1209,plain,
( sQ34_spl
| e4 != e4 ),
inference(forward_demodulation,[status(thm)],[f918,f420]) ).
fof(f1210,plain,
( sQ34_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1209]) ).
fof(f1211,plain,
sQ34_spl,
inference(contradiction_clause,[status(thm)],[f1210]) ).
fof(f1212,plain,
( ~ sQ34_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f1034,f578,f418]) ).
fof(f1219,plain,
( ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f538,f1167]) ).
fof(f1220,plain,
~ sQ71_spl,
inference(contradiction_clause,[status(thm)],[f1219]) ).
fof(f1222,plain,
( ~ sQ96_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f618,f1168]) ).
fof(f1223,plain,
~ sQ96_spl,
inference(contradiction_clause,[status(thm)],[f1222]) ).
fof(f1225,plain,
( ~ sQ10_spl
| e0 != op(e0,e4) ),
inference(backward_demodulation,[status(thm)],[f343,f167]) ).
fof(f1229,plain,
( ~ sQ31_spl
| e4 = e1 ),
inference(forward_demodulation,[status(thm)],[f918,f410]) ).
fof(f1230,plain,
( ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1229,f215]) ).
fof(f1231,plain,
~ sQ31_spl,
inference(contradiction_clause,[status(thm)],[f1230]) ).
fof(f1232,plain,
( ~ sQ56_spl
| op(e2,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f490,f179]) ).
fof(f1240,plain,
( ~ sQ56_spl
| e1 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f490,f183]) ).
fof(f1245,plain,
( ~ sQ62_spl
| e2 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f509,f186]) ).
fof(f1246,plain,
( ~ sQ62_spl
| e2 != op(e2,e4) ),
inference(forward_demodulation,[status(thm)],[f509,f187]) ).
fof(f1259,plain,
( ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f458,f1125]) ).
fof(f1260,plain,
~ sQ46_spl,
inference(contradiction_clause,[status(thm)],[f1259]) ).
fof(f1261,plain,
( ~ sQ60_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f1127,f422,f502]) ).
fof(f1262,plain,
( ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f378,f1118]) ).
fof(f1263,plain,
~ sQ21_spl,
inference(contradiction_clause,[status(thm)],[f1262]) ).
fof(f1264,plain,
( ~ sQ30_spl
| e4 = e0 ),
inference(forward_demodulation,[status(thm)],[f918,f407]) ).
fof(f1265,plain,
( ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1264,f212]) ).
fof(f1266,plain,
~ sQ30_spl,
inference(contradiction_clause,[status(thm)],[f1265]) ).
fof(f1267,plain,
( ~ sQ27_spl
| e2 != op(e1,e4) ),
inference(backward_demodulation,[status(thm)],[f397,f172]) ).
fof(f1269,plain,
( ~ sQ27_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f1267,f460,f396]) ).
fof(f1273,plain,
( ~ sQ10_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f1225,f374,f342]) ).
fof(f1285,plain,
( ~ sQ90_spl
| e0 != op(e3,e4) ),
inference(backward_demodulation,[status(thm)],[f599,f198]) ).
fof(f1286,plain,
( ~ sQ90_spl
| op(e3,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f599,f196]) ).
fof(f1287,plain,
( ~ sQ90_spl
| op(e3,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f599,f194]) ).
fof(f1288,plain,
( ~ sQ90_spl
| op(e3,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f599,f191]) ).
fof(f1300,plain,
( ~ sQ24_spl
| op(e0,e3) != e4 ),
inference(backward_demodulation,[status(thm)],[f387,f168]) ).
fof(f1302,plain,
( ~ sQ24_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f1300,f370,f386]) ).
fof(f1314,plain,
( ~ sQ93_spl
| ~ sQ90_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f599,f608]) ).
fof(f1315,plain,
( ~ sQ93_spl
| ~ sQ90_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1314,f211]) ).
fof(f1316,plain,
( ~ sQ93_spl
| ~ sQ90_spl ),
inference(contradiction_clause,[status(thm)],[f1315]) ).
fof(f1318,plain,
op(e4,e0) != e1,
inference(forward_demodulation,[status(thm)],[f220,f202]) ).
fof(f1320,plain,
op(e4,e2) != e1,
inference(forward_demodulation,[status(thm)],[f220,f207]) ).
fof(f1323,plain,
( ~ sQ100_spl
| e0 != op(e4,e1) ),
inference(backward_demodulation,[status(thm)],[f631,f199]) ).
fof(f1331,plain,
op(e4,e3) != e1,
inference(forward_demodulation,[status(thm)],[f220,f208]) ).
fof(f1334,plain,
e0 != op(e4,e2),
inference(backward_demodulation,[status(thm)],[f1336,f203]) ).
fof(f1336,plain,
e0 = op(e4,e1),
inference(forward_demodulation,[status(thm)],[f220,f219]) ).
fof(f1337,plain,
e2 = op(op(e4,e1),op(e4,e4)),
inference(forward_demodulation,[status(thm)],[f220,f221]) ).
fof(f1338,plain,
e2 = op(e0,op(e4,e4)),
inference(forward_demodulation,[status(thm)],[f1336,f1337]) ).
fof(f1339,plain,
e2 = op(e0,e1),
inference(forward_demodulation,[status(thm)],[f220,f1338]) ).
fof(f1340,plain,
( sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1339,f334]) ).
fof(f1341,plain,
sQ7_spl,
inference(contradiction_clause,[status(thm)],[f1340]) ).
fof(f1346,plain,
( ~ sQ107_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f1336,f653]) ).
fof(f1347,plain,
( ~ sQ107_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1346,f210]) ).
fof(f1348,plain,
~ sQ107_spl,
inference(contradiction_clause,[status(thm)],[f1347]) ).
fof(f1349,plain,
( ~ sQ54_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f981,f642,f482]) ).
fof(f1350,plain,
( ~ sQ54_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f982,f562,f482]) ).
fof(f1352,plain,
( sQ105_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f1336,f648]) ).
fof(f1353,plain,
( sQ105_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1352]) ).
fof(f1354,plain,
sQ105_spl,
inference(contradiction_clause,[status(thm)],[f1353]) ).
fof(f1356,plain,
( ~ sQ56_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f1232,f473,f489]) ).
fof(f1357,plain,
( ~ sQ56_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f1240,f505,f489]) ).
fof(f1358,plain,
e3 = op(op(e4,e1),op(e4,op(e4,e4))),
inference(forward_demodulation,[status(thm)],[f220,f222]) ).
fof(f1359,plain,
e3 = op(e0,op(e4,op(e4,e4))),
inference(forward_demodulation,[status(thm)],[f1336,f1358]) ).
fof(f1360,plain,
e3 = op(e0,op(e4,e1)),
inference(forward_demodulation,[status(thm)],[f220,f1359]) ).
fof(f1361,plain,
e3 = op(e0,e0),
inference(forward_demodulation,[status(thm)],[f1336,f1360]) ).
fof(f1362,plain,
op(e0,op(e1,e4)) = e1,
inference(forward_demodulation,[status(thm)],[f1336,f93]) ).
fof(f1370,plain,
( ~ sQ2_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f1361,f317]) ).
fof(f1371,plain,
( ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1370,f216]) ).
fof(f1372,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f1371]) ).
fof(f1373,plain,
( ~ sQ109_spl
| e0 = e4 ),
inference(forward_demodulation,[status(thm)],[f1336,f659]) ).
fof(f1374,plain,
( ~ sQ109_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1373,f212]) ).
fof(f1375,plain,
~ sQ109_spl,
inference(contradiction_clause,[status(thm)],[f1374]) ).
fof(f1379,plain,
( ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f435,f1203]) ).
fof(f1380,plain,
~ sQ39_spl,
inference(contradiction_clause,[status(thm)],[f1379]) ).
fof(f1382,plain,
( ~ sQ100_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f1323,f646,f630]) ).
fof(f1383,plain,
( ~ sQ106_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f1336,f650]) ).
fof(f1384,plain,
( ~ sQ106_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1383,f209]) ).
fof(f1385,plain,
~ sQ106_spl,
inference(contradiction_clause,[status(thm)],[f1384]) ).
fof(f1386,plain,
( sQ3_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f1361,f321]) ).
fof(f1387,plain,
( sQ3_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1386]) ).
fof(f1388,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f1387]) ).
fof(f1389,plain,
( ~ sQ62_spl
| ~ sQ72_spl ),
inference(split_clause,[status(thm)],[f1246,f540,f508]) ).
fof(f1390,plain,
( ~ sQ90_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f1286,f582,f598]) ).
fof(f1392,plain,
( ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f403,f1201]) ).
fof(f1393,plain,
~ sQ29_spl,
inference(contradiction_clause,[status(thm)],[f1392]) ).
fof(f1395,plain,
op(e3,op(e0,e0)) = e0,
inference(forward_demodulation,[status(thm)],[f1361,f84]) ).
fof(f1397,plain,
op(e3,e3) = e0,
inference(forward_demodulation,[status(thm)],[f1361,f1395]) ).
fof(f1399,plain,
op(op(e1,e4),e0) = e4,
inference(forward_demodulation,[status(thm)],[f1336,f105]) ).
fof(f1410,plain,
e3 != op(e1,e0),
inference(forward_demodulation,[status(thm)],[f1361,f109]) ).
fof(f1416,plain,
( ~ sQ87_spl
| e2 != op(e3,e4) ),
inference(backward_demodulation,[status(thm)],[f589,f197]) ).
fof(f1417,plain,
( ~ sQ87_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f1416,f620,f588]) ).
fof(f1422,plain,
( ~ sQ48_spl
| op(e3,e0) = e4 ),
inference(backward_demodulation,[status(thm)],[f464,f1399]) ).
fof(f1423,plain,
( ~ sQ48_spl
| op(e0,e3) = e1 ),
inference(backward_demodulation,[status(thm)],[f464,f1362]) ).
fof(f1435,plain,
e3 != op(e3,e0),
inference(forward_demodulation,[status(thm)],[f1361,f111]) ).
fof(f1442,plain,
e2 != op(e2,e1),
inference(forward_demodulation,[status(thm)],[f1339,f120]) ).
fof(f1449,plain,
( ~ sQ113_spl
| ~ sQ114_spl
| e4 = e3 ),
inference(forward_demodulation,[status(thm)],[f675,f672]) ).
fof(f1450,plain,
( ~ sQ113_spl
| ~ sQ114_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1449,f218]) ).
fof(f1451,plain,
( ~ sQ113_spl
| ~ sQ114_spl ),
inference(contradiction_clause,[status(thm)],[f1450]) ).
fof(f1461,plain,
( ~ sQ91_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f1397,f602]) ).
fof(f1462,plain,
( ~ sQ91_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1461,f209]) ).
fof(f1463,plain,
~ sQ91_spl,
inference(contradiction_clause,[status(thm)],[f1462]) ).
fof(f1464,plain,
( ~ sQ6_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f1339,f330]) ).
fof(f1465,plain,
( ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1464,f213]) ).
fof(f1466,plain,
~ sQ6_spl,
inference(contradiction_clause,[status(thm)],[f1465]) ).
fof(f1468,plain,
( sQ90_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f1397,f600]) ).
fof(f1469,plain,
( sQ90_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1468]) ).
fof(f1470,plain,
sQ90_spl,
inference(contradiction_clause,[status(thm)],[f1469]) ).
fof(f1475,plain,
( ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f451,f1206]) ).
fof(f1476,plain,
~ sQ44_spl,
inference(contradiction_clause,[status(thm)],[f1475]) ).
fof(f1477,plain,
( ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f493,f1442]) ).
fof(f1478,plain,
~ sQ57_spl,
inference(contradiction_clause,[status(thm)],[f1477]) ).
fof(f1479,plain,
( ~ sQ5_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f1339,f327]) ).
fof(f1480,plain,
( ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1479,f210]) ).
fof(f1481,plain,
~ sQ5_spl,
inference(contradiction_clause,[status(thm)],[f1480]) ).
fof(f1501,plain,
e2 != op(e3,e1),
inference(forward_demodulation,[status(thm)],[f1339,f121]) ).
fof(f1513,plain,
( ~ sQ77_spl
| op(op(e0,e3),e2) = e3 ),
inference(backward_demodulation,[status(thm)],[f557,f99]) ).
fof(f1516,plain,
op(e2,op(e1,e0)) = e1,
inference(forward_demodulation,[status(thm)],[f1339,f89]) ).
fof(f1519,plain,
( ~ sQ26_spl
| op(e2,e1) = e1 ),
inference(forward_demodulation,[status(thm)],[f394,f1516]) ).
fof(f1528,plain,
( ~ sQ26_spl
| e1 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f1519,f126]) ).
fof(f1531,plain,
e4 != op(e2,e1),
inference(forward_demodulation,[status(thm)],[f918,f123]) ).
fof(f1535,plain,
( ~ sQ81_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f570,f1528]) ).
fof(f1536,plain,
( ~ sQ81_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f1535]) ).
fof(f1537,plain,
( ~ sQ101_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f634,f1318]) ).
fof(f1538,plain,
~ sQ101_spl,
inference(contradiction_clause,[status(thm)],[f1537]) ).
fof(f1539,plain,
( ~ sQ24_spl
| ~ sQ20_spl
| e0 = e4 ),
inference(forward_demodulation,[status(thm)],[f375,f387]) ).
fof(f1540,plain,
( ~ sQ24_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1539,f212]) ).
fof(f1541,plain,
( ~ sQ24_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f1540]) ).
fof(f1543,plain,
op(op(e1,e0),e2) = e0,
inference(forward_demodulation,[status(thm)],[f1339,f85]) ).
fof(f1549,plain,
( ~ sQ48_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f1423,f361,f463]) ).
fof(f1551,plain,
( ~ sQ117_spl
| op(op(e3,e4),e2) = e4 ),
inference(forward_demodulation,[status(thm)],[f685,f107]) ).
fof(f1557,plain,
( ~ sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f573,f1501]) ).
fof(f1558,plain,
~ sQ82_spl,
inference(contradiction_clause,[status(thm)],[f1557]) ).
fof(f1559,plain,
( ~ sQ111_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f666,f1320]) ).
fof(f1560,plain,
~ sQ111_spl,
inference(contradiction_clause,[status(thm)],[f1559]) ).
fof(f1562,plain,
e3 != op(e4,e0),
inference(forward_demodulation,[status(thm)],[f1361,f112]) ).
fof(f1563,plain,
op(e0,e3) != e0,
inference(forward_demodulation,[status(thm)],[f1397,f141]) ).
fof(f1571,plain,
( ~ sQ69_spl
| op(e0,e3) != e4 ),
inference(backward_demodulation,[status(thm)],[f531,f140]) ).
fof(f1594,plain,
op(e2,e3) != e0,
inference(forward_demodulation,[status(thm)],[f1397,f146]) ).
fof(f1596,plain,
op(e1,e3) != e0,
inference(forward_demodulation,[status(thm)],[f1397,f144]) ).
fof(f1597,plain,
e2 != op(e0,e4),
inference(forward_demodulation,[status(thm)],[f1339,f165]) ).
fof(f1599,plain,
( ~ sQ16_spl
| e1 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f362,f139]) ).
fof(f1604,plain,
( ~ sQ104_spl
| op(e3,e0) != e4 ),
inference(backward_demodulation,[status(thm)],[f643,f118]) ).
fof(f1609,plain,
e2 != op(e0,e3),
inference(forward_demodulation,[status(thm)],[f1339,f164]) ).
fof(f1611,plain,
e2 != op(e0,e2),
inference(forward_demodulation,[status(thm)],[f1339,f163]) ).
fof(f1620,plain,
( ~ sQ48_spl
| sQ79_spl ),
inference(split_clause,[status(thm)],[f1422,f562,f463]) ).
fof(f1624,plain,
( ~ sQ42_spl
| op(e1,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f445,f176]) ).
fof(f1633,plain,
( ~ sQ16_spl
| op(e0,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f362,f166]) ).
fof(f1634,plain,
e3 != op(e0,e2),
inference(forward_demodulation,[status(thm)],[f1361,f160]) ).
fof(f1636,plain,
( ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f499,f1531]) ).
fof(f1637,plain,
~ sQ59_spl,
inference(contradiction_clause,[status(thm)],[f1636]) ).
fof(f1641,plain,
( ~ sQ69_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f1571,f370,f530]) ).
fof(f1643,plain,
( ~ sQ110_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f663,f1334]) ).
fof(f1644,plain,
~ sQ110_spl,
inference(contradiction_clause,[status(thm)],[f1643]) ).
fof(f1648,plain,
( ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f349,f1611]) ).
fof(f1649,plain,
~ sQ12_spl,
inference(contradiction_clause,[status(thm)],[f1648]) ).
fof(f1650,plain,
( ~ sQ1_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f1361,f314]) ).
fof(f1651,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1650,f214]) ).
fof(f1652,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f1651]) ).
fof(f1654,plain,
( ~ sQ78_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f560,f1435]) ).
fof(f1655,plain,
~ sQ78_spl,
inference(contradiction_clause,[status(thm)],[f1654]) ).
fof(f1656,plain,
( ~ sQ104_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f1604,f562,f642]) ).
fof(f1657,plain,
( ~ sQ95_spl
| ~ sQ90_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f615,f1285]) ).
fof(f1658,plain,
( ~ sQ95_spl
| ~ sQ90_spl ),
inference(contradiction_clause,[status(thm)],[f1657]) ).
fof(f1659,plain,
( ~ sQ75_spl
| ~ sQ90_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f551,f1288]) ).
fof(f1660,plain,
( ~ sQ75_spl
| ~ sQ90_spl ),
inference(contradiction_clause,[status(thm)],[f1659]) ).
fof(f1661,plain,
( ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f352,f1634]) ).
fof(f1662,plain,
~ sQ13_spl,
inference(contradiction_clause,[status(thm)],[f1661]) ).
fof(f1663,plain,
e3 != op(e0,e4),
inference(forward_demodulation,[status(thm)],[f1361,f162]) ).
fof(f1664,plain,
e3 != op(e0,e3),
inference(forward_demodulation,[status(thm)],[f1361,f161]) ).
fof(f1667,plain,
( ~ sQ113_spl
| op(e2,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f672,f137]) ).
fof(f1673,plain,
( ~ sQ62_spl
| op(e2,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f509,f180]) ).
fof(f1679,plain,
( ~ sQ62_spl
| e2 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f509,f136]) ).
fof(f1690,plain,
( ~ sQ47_spl
| e2 != op(e3,e4) ),
inference(backward_demodulation,[status(thm)],[f461,f154]) ).
fof(f1691,plain,
( ~ sQ47_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f1690,f620,f460]) ).
fof(f1692,plain,
( ~ sQ62_spl
| e2 != op(e4,e2) ),
inference(forward_demodulation,[status(thm)],[f509,f137]) ).
fof(f1693,plain,
( ~ sQ80_spl
| ~ sQ90_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f567,f1287]) ).
fof(f1694,plain,
( ~ sQ80_spl
| ~ sQ90_spl ),
inference(contradiction_clause,[status(thm)],[f1693]) ).
fof(f1695,plain,
( ~ sQ16_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f1599,f441,f361]) ).
fof(f1696,plain,
( ~ sQ16_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1633,f345,f361]) ).
fof(f1697,plain,
( ~ sQ113_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f1667,f511,f671]) ).
fof(f1698,plain,
( ~ sQ42_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f1624,f428,f444]) ).
fof(f1707,plain,
( ~ sQ70_spl
| op(e2,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f535,f182]) ).
fof(f1720,plain,
( ~ sQ118_spl
| op(e1,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f688,f145]) ).
fof(f1723,plain,
( ~ sQ118_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f1720,f447,f687]) ).
fof(f1724,plain,
( ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f439,f1596]) ).
fof(f1725,plain,
~ sQ40_spl,
inference(contradiction_clause,[status(thm)],[f1724]) ).
fof(f1726,plain,
( ~ sQ62_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f1673,f476,f508]) ).
fof(f1731,plain,
( ~ sQ62_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f1692,f668,f508]) ).
fof(f1751,plain,
( ~ sQ79_spl
| e4 != op(e3,e4) ),
inference(backward_demodulation,[status(thm)],[f563,f192]) ).
fof(f1755,plain,
( ~ sQ102_spl
| e2 != op(e4,e2) ),
inference(backward_demodulation,[status(thm)],[f637,f200]) ).
fof(f1759,plain,
( ~ sQ102_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f1755,f668,f636]) ).
fof(f1764,plain,
( ~ sQ56_spl
| ~ sQ58_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f496,f490]) ).
fof(f1765,plain,
( ~ sQ56_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1764,f214]) ).
fof(f1766,plain,
( ~ sQ56_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f1765]) ).
fof(f1767,plain,
( ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f368,f1664]) ).
fof(f1768,plain,
~ sQ18_spl,
inference(contradiction_clause,[status(thm)],[f1767]) ).
fof(f1770,plain,
( ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f400,f1410]) ).
fof(f1771,plain,
~ sQ28_spl,
inference(contradiction_clause,[status(thm)],[f1770]) ).
fof(f1772,plain,
( ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f359,f1563]) ).
fof(f1773,plain,
~ sQ15_spl,
inference(contradiction_clause,[status(thm)],[f1772]) ).
fof(f1776,plain,
( ~ sQ68_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f1115,f687,f527]) ).
fof(f1777,plain,
( ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f365,f1609]) ).
fof(f1778,plain,
~ sQ17_spl,
inference(contradiction_clause,[status(thm)],[f1777]) ).
fof(f1779,plain,
( ~ sQ108_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f1336,f656]) ).
fof(f1780,plain,
( ~ sQ108_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1779,f211]) ).
fof(f1781,plain,
~ sQ108_spl,
inference(contradiction_clause,[status(thm)],[f1780]) ).
fof(f1790,plain,
( ~ sQ83_spl
| e3 != op(e3,e4) ),
inference(forward_demodulation,[status(thm)],[f576,f195]) ).
fof(f1805,plain,
( ~ sQ26_spl
| e1 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f394,f171]) ).
fof(f1809,plain,
( ~ sQ26_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f1805,f441,f393]) ).
fof(f1811,plain,
( ~ sQ69_spl
| ~ sQ86_spl
| op(e4,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f586,f896]) ).
fof(f1812,plain,
( ~ sQ69_spl
| ~ sQ86_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f1336,f1811]) ).
fof(f1813,plain,
( ~ sQ69_spl
| ~ sQ86_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1812,f211]) ).
fof(f1814,plain,
( ~ sQ69_spl
| ~ sQ86_spl ),
inference(contradiction_clause,[status(thm)],[f1813]) ).
fof(f1816,plain,
( ~ sQ98_spl
| ~ sQ83_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f624,f1790]) ).
fof(f1817,plain,
( ~ sQ98_spl
| ~ sQ83_spl ),
inference(contradiction_clause,[status(thm)],[f1816]) ).
fof(f1829,plain,
( ~ sQ47_spl
| op(e0,e2) = e1 ),
inference(backward_demodulation,[status(thm)],[f461,f1362]) ).
fof(f1830,plain,
( ~ sQ47_spl
| op(e2,e0) = e4 ),
inference(backward_demodulation,[status(thm)],[f461,f1399]) ).
fof(f1831,plain,
( ~ sQ47_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f1829,f345,f460]) ).
fof(f1832,plain,
( ~ sQ47_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f1830,f482,f460]) ).
fof(f1833,plain,
( ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f381,f1597]) ).
fof(f1834,plain,
~ sQ22_spl,
inference(contradiction_clause,[status(thm)],[f1833]) ).
fof(f1836,plain,
( ~ sQ25_spl
| op(e0,e2) = e0 ),
inference(backward_demodulation,[status(thm)],[f391,f1543]) ).
fof(f1837,plain,
( ~ sQ25_spl
| op(e2,e0) = e1 ),
inference(backward_demodulation,[status(thm)],[f391,f1516]) ).
fof(f1862,plain,
( ~ sQ69_spl
| e4 != op(e4,e3) ),
inference(backward_demodulation,[status(thm)],[f531,f147]) ).
fof(f1904,plain,
( ~ sQ98_spl
| op(e1,e4) != e3 ),
inference(backward_demodulation,[status(thm)],[f624,f154]) ).
fof(f1911,plain,
( ~ sQ98_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f1904,f463,f623]) ).
fof(f1925,plain,
( ~ sQ69_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f1862,f690,f530]) ).
fof(f1928,plain,
( ~ sQ79_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f1751,f626,f562]) ).
fof(f1932,plain,
( ~ sQ62_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f1245,f524,f508]) ).
fof(f1938,plain,
( ~ sQ70_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f1707,f470,f534]) ).
fof(f1939,plain,
( ~ sQ116_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f682,f1331]) ).
fof(f1940,plain,
~ sQ116_spl,
inference(contradiction_clause,[status(thm)],[f1939]) ).
fof(f1976,plain,
( ~ sQ76_spl
| e1 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f554,f189]) ).
fof(f1977,plain,
( ~ sQ76_spl
| ~ sQ81_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f570,f1976]) ).
fof(f1978,plain,
( ~ sQ76_spl
| ~ sQ81_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1977]) ).
fof(f1979,plain,
( ~ sQ76_spl
| ~ sQ81_spl ),
inference(contradiction_clause,[status(thm)],[f1978]) ).
fof(f1980,plain,
( ~ sQ62_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f1679,f588,f508]) ).
fof(f1981,plain,
( ~ sQ77_spl
| ~ sQ19_spl
| op(e4,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f371,f1513]) ).
fof(f1982,plain,
( ~ sQ77_spl
| ~ sQ19_spl
| sQ113_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1981,f673]) ).
fof(f1983,plain,
( ~ sQ77_spl
| ~ sQ19_spl
| sQ113_spl ),
inference(contradiction_clause,[status(thm)],[f1982]) ).
fof(f1986,plain,
( ~ sQ25_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f1836,f342,f390]) ).
fof(f1989,plain,
( ~ sQ103_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f640,f1562]) ).
fof(f1990,plain,
~ sQ103_spl,
inference(contradiction_clause,[status(thm)],[f1989]) ).
fof(f1991,plain,
( ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f384,f1663]) ).
fof(f1992,plain,
~ sQ23_spl,
inference(contradiction_clause,[status(thm)],[f1991]) ).
fof(f2028,plain,
( ~ sQ42_spl
| op(e1,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f445,f171]) ).
fof(f2045,plain,
( ~ sQ14_spl
| e4 != op(e4,e2) ),
inference(forward_demodulation,[status(thm)],[f355,f132]) ).
fof(f2046,plain,
( ~ sQ14_spl
| ~ sQ114_spl
| e4 != e4 ),
inference(forward_demodulation,[status(thm)],[f675,f2045]) ).
fof(f2047,plain,
( ~ sQ14_spl
| ~ sQ114_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2046]) ).
fof(f2048,plain,
( ~ sQ14_spl
| ~ sQ114_spl ),
inference(contradiction_clause,[status(thm)],[f2047]) ).
fof(f2058,plain,
( ~ sQ25_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f1837,f473,f390]) ).
fof(f2066,plain,
( ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f519,f1594]) ).
fof(f2067,plain,
~ sQ65_spl,
inference(contradiction_clause,[status(thm)],[f2066]) ).
fof(f2069,plain,
( ~ sQ117_spl
| ~ sQ97_spl
| op(e2,e2) = e4 ),
inference(forward_demodulation,[status(thm)],[f621,f1551]) ).
fof(f2070,plain,
( ~ sQ117_spl
| ~ sQ97_spl
| ~ sQ62_spl
| e2 = e4 ),
inference(forward_demodulation,[status(thm)],[f509,f2069]) ).
fof(f2071,plain,
( ~ sQ117_spl
| ~ sQ97_spl
| ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2070,f217]) ).
fof(f2072,plain,
( ~ sQ117_spl
| ~ sQ97_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f2071]) ).
fof(f2073,plain,
( ~ sQ42_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f2028,f396,f444]) ).
fof(f2074,plain,
( ~ sQ92_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f1397,f605]) ).
fof(f2075,plain,
( ~ sQ92_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2074,f210]) ).
fof(f2076,plain,
~ sQ92_spl,
inference(contradiction_clause,[status(thm)],[f2075]) ).
fof(f2077,plain,
$false,
inference(sat_refutation,[status(thm)],[f357,f373,f389,f405,f453,f469,f517,f565,f581,f629,f645,f677,f709,f711,f713,f720,f722,f723,f735,f738,f742,f744,f745,f749,f751,f756,f757,f758,f763,f774,f783,f790,f794,f801,f811,f814,f822,f829,f834,f837,f846,f847,f850,f857,f887,f895,f908,f935,f941,f968,f976,f1027,f1045,f1062,f1065,f1077,f1084,f1099,f1102,f1124,f1136,f1137,f1138,f1146,f1153,f1162,f1211,f1212,f1220,f1223,f1231,f1260,f1261,f1263,f1266,f1269,f1273,f1302,f1316,f1341,f1348,f1349,f1350,f1354,f1356,f1357,f1372,f1375,f1380,f1382,f1385,f1388,f1389,f1390,f1393,f1417,f1451,f1463,f1466,f1470,f1476,f1478,f1481,f1536,f1538,f1541,f1549,f1558,f1560,f1620,f1637,f1641,f1644,f1649,f1652,f1655,f1656,f1658,f1660,f1662,f1691,f1694,f1695,f1696,f1697,f1698,f1723,f1725,f1726,f1731,f1759,f1766,f1768,f1771,f1773,f1776,f1778,f1781,f1809,f1814,f1817,f1831,f1832,f1834,f1911,f1925,f1928,f1932,f1938,f1940,f1979,f1980,f1983,f1986,f1990,f1992,f2048,f2058,f2067,f2072,f2073,f2076]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG170+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.38 % Computer : n016.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 21 13:05:24 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.40 % Drodi V4.1.1
% 0.12/0.45 % Refutation found
% 0.12/0.45 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.45 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.48 % Elapsed time: 0.085461 seconds
% 0.12/0.48 % CPU time: 0.380708 seconds
% 0.12/0.48 % Total memory used: 87.852 MB
% 0.12/0.48 % Net memory used: 87.520 MB
%------------------------------------------------------------------------------