TSTP Solution File: ALG056+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG056+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:09:19 EDT 2024
% Result : Theorem 0.19s 0.54s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 192
% Syntax : Number of formulae : 855 ( 117 unt; 0 def)
% Number of atoms : 4498 (3285 equ)
% Maximal formula atoms : 250 ( 5 avg)
% Number of connectives : 5355 (1712 ~;1788 |;1670 &)
% ( 150 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 187 ( 185 usr; 186 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e0) = e4 )
& ( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4 )
& ( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4 )
& ( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 )
& ( op(e0,e4) = e0
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 )
& ( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = e4 )
& ( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3
| op(e1,e1) = e4 )
& ( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3
| op(e1,e2) = e4 )
& ( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3
| op(e1,e3) = e4 )
& ( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4 )
& ( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3
| op(e2,e0) = e4 )
& ( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 )
& ( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3
| op(e2,e2) = e4 )
& ( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3
| op(e2,e3) = e4 )
& ( op(e2,e4) = e0
| op(e2,e4) = e1
| op(e2,e4) = e2
| op(e2,e4) = e3
| op(e2,e4) = e4 )
& ( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 )
& ( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4 )
& ( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 )
& ( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3
| op(e3,e3) = e4 )
& ( op(e3,e4) = e0
| op(e3,e4) = e1
| op(e3,e4) = e2
| op(e3,e4) = e3
| op(e3,e4) = e4 )
& ( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 )
& ( op(e4,e1) = e0
| op(e4,e1) = e1
| op(e4,e1) = e2
| op(e4,e1) = e3
| op(e4,e1) = e4 )
& ( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3
| op(e4,e2) = e4 )
& ( op(e4,e3) = e0
| op(e4,e3) = e1
| op(e4,e3) = e2
| op(e4,e3) = e3
| op(e4,e3) = e4 )
& ( op(e4,e4) = e0
| op(e4,e4) = e1
| op(e4,e4) = e2
| op(e4,e4) = e3
| op(e4,e4) = e4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
( op(unit,e0) = e0
& op(e0,unit) = e0
& op(unit,e1) = e1
& op(e1,unit) = e1
& op(unit,e2) = e2
& op(e2,unit) = e2
& op(unit,e3) = e3
& op(e3,unit) = e3
& op(unit,e4) = e4
& op(e4,unit) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
( ( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0
| op(e0,e4) = e0 )
& ( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0
| op(e4,e0) = e0 )
& ( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e4) = e1 )
& ( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e4,e0) = e1 )
& ( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2
| op(e0,e4) = e2 )
& ( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2
| op(e4,e0) = e2 )
& ( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3
| op(e0,e4) = e3 )
& ( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3
| op(e4,e0) = e3 )
& ( op(e0,e0) = e4
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e3) = e4
| op(e0,e4) = e4 )
& ( op(e0,e0) = e4
| op(e1,e0) = e4
| op(e2,e0) = e4
| op(e3,e0) = e4
| op(e4,e0) = e4 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e4) = e0 )
& ( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e1) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1
| op(e1,e4) = e1 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e4,e1) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2
| op(e1,e4) = e2 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 )
& ( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4
| op(e1,e4) = e4 )
& ( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2
| op(e2,e4) = e2 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3
| op(e2,e4) = e3 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 )
& ( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 )
& ( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e4) = e0 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1
| op(e3,e4) = e1 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e4,e3) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2
| op(e3,e4) = e2 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3
| op(e3,e4) = e3 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3
| op(e4,e3) = e3 )
& ( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e3) = e4
| op(e3,e4) = e4 )
& ( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4
| op(e4,e3) = e4 )
& ( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e4) = e0
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 )
& ( op(e4,e0) = e1
| op(e4,e1) = e1
| op(e4,e2) = e1
| op(e4,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 )
& ( op(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e4) = e2
| op(e1,e4) = e2
| op(e2,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 )
& ( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 )
& ( op(e4,e0) = e4
| op(e4,e1) = e4
| op(e4,e2) = e4
| op(e4,e3) = e4
| op(e4,e4) = e4 )
& ( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4
| op(e4,e4) = e4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e2,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e3,e0) != op(e4,e0)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e4,e1)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e3,e1) != op(e4,e1)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e4,e2)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e3,e2) != op(e4,e2)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e4,e3)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e3,e3) != op(e4,e3)
& op(e0,e4) != op(e1,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e4,e4)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,e4)
& op(e3,e4) != op(e4,e4)
& op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e4)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& op(e0,e3) != op(e0,e4)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e3) != op(e1,e4)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e4)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e3) != op(e2,e4)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e4)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e3) != op(e3,e4)
& op(e4,e0) != op(e4,e1)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e4)
& op(e4,e1) != op(e4,e2)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e2) != op(e4,e4)
& op(e4,e3) != op(e4,e4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
( e0 = op(op(e2,e2),op(e2,e2))
& e1 = op(op(e2,op(e2,e2)),op(e2,e2))
& e3 = op(e2,op(e2,e2))
& e4 = op(e2,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,conjecture,
~ ( ( ( op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 )
| ( op(e4,op(e4,e4)) != e4
& op(e4,op(e4,e4)) = e4 ) )
& ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
~ ~ ( ( ( op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 )
| ( op(e4,op(e4,e4)) != e4
& op(e4,op(e4,e4)) = e4 ) )
& ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) ) ),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f21,plain,
( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3
| op(e2,e2) = e4 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f28,plain,
( op(e3,e4) = e0
| op(e3,e4) = e1
| op(e3,e4) = e2
| op(e3,e4) = e3
| op(e3,e4) = e4 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f33,plain,
( op(e4,e4) = e0
| op(e4,e4) = e1
| op(e4,e4) = e2
| op(e4,e4) = e3
| op(e4,e4) = e4 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f34,plain,
op(unit,e0) = e0,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f35,plain,
op(e0,unit) = e0,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f36,plain,
op(unit,e1) = e1,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f38,plain,
op(unit,e2) = e2,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f39,plain,
op(e2,unit) = e2,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f40,plain,
op(unit,e3) = e3,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f42,plain,
op(unit,e4) = e4,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f43,plain,
op(e4,unit) = e4,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f44,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f50,plain,
( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2
| op(e4,e0) = e2 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f51,plain,
( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3
| op(e0,e4) = e3 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f53,plain,
( op(e0,e0) = e4
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e3) = e4
| op(e0,e4) = e4 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f65,plain,
( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f66,plain,
( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = e0 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f67,plain,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f90,plain,
( op(e0,e4) = e2
| op(e1,e4) = e2
| op(e2,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f91,plain,
( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f92,plain,
( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f96,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f98,plain,
op(e0,e0) != op(e4,e0),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f99,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f100,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f105,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f106,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f107,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f109,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f114,plain,
op(e3,e1) != op(e4,e1),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f116,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f118,plain,
op(e0,e2) != op(e4,e2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f120,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f121,plain,
op(e1,e2) != op(e4,e2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f122,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f123,plain,
op(e2,e2) != op(e4,e2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f125,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f129,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f130,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f136,plain,
op(e0,e4) != op(e2,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f137,plain,
op(e0,e4) != op(e3,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f140,plain,
op(e1,e4) != op(e3,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f143,plain,
op(e2,e4) != op(e4,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f146,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f147,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f148,plain,
op(e0,e0) != op(e0,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f149,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f150,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f151,plain,
op(e0,e1) != op(e0,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f153,plain,
op(e0,e2) != op(e0,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f154,plain,
op(e0,e3) != op(e0,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f158,plain,
op(e1,e0) != op(e1,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f159,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f160,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f161,plain,
op(e1,e1) != op(e1,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f162,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f163,plain,
op(e1,e2) != op(e1,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f164,plain,
op(e1,e3) != op(e1,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f168,plain,
op(e2,e0) != op(e2,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f169,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f181,plain,
op(e3,e1) != op(e3,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f182,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f183,plain,
op(e3,e2) != op(e3,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f184,plain,
op(e3,e3) != op(e3,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f188,plain,
op(e4,e0) != op(e4,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f190,plain,
op(e4,e1) != op(e4,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f191,plain,
op(e4,e1) != op(e4,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f193,plain,
op(e4,e2) != op(e4,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f195,plain,
e0 != e1,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f196,plain,
e0 != e2,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f197,plain,
e0 != e3,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f198,plain,
e0 != e4,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f199,plain,
e1 != e2,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f200,plain,
e1 != e3,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f201,plain,
e1 != e4,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f202,plain,
e2 != e3,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f203,plain,
e2 != e4,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f204,plain,
e3 != e4,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f205,plain,
e0 = op(op(e2,e2),op(e2,e2)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f206,plain,
e1 = op(op(e2,op(e2,e2)),op(e2,e2)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f207,plain,
e3 = op(e2,op(e2,e2)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f208,plain,
e4 = op(e2,e2),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f209,plain,
( pd0_0
=> ( ( op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 ) ) ),
introduced(predicate_definition,[f8]) ).
fof(f210,plain,
( pd0_1
=> ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 ) ) ),
introduced(predicate_definition,[f8]) ).
fof(f211,plain,
( pd0_2
=> ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 ) ) ),
introduced(predicate_definition,[f8]) ).
fof(f212,plain,
( pd0_3
=> ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 ) ) ),
introduced(predicate_definition,[f8]) ).
fof(f213,plain,
( pd0_4
=> ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 ) ) ),
introduced(predicate_definition,[f8]) ).
fof(f214,plain,
( pd0_5
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 ) ) ),
introduced(predicate_definition,[f8]) ).
fof(f215,plain,
( ( pd0_0
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( pd0_1
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( pd0_2
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( pd0_3
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( pd0_4
| ( op(e4,op(e4,e4)) != e4
& op(e4,op(e4,e4)) = e4 ) )
& ( pd0_5
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) ) ),
inference(formula_renaming,[status(thm)],[f8,f214,f213,f212,f211,f210,f209]) ).
fof(f217,plain,
( pd0_0
| op(e0,op(e4,e0)) = e4 ),
inference(cnf_transformation,[status(esa)],[f215]) ).
fof(f224,plain,
( pd0_4
| op(e4,op(e4,e4)) != e4 ),
inference(cnf_transformation,[status(esa)],[f215]) ).
fof(f225,plain,
( pd0_4
| op(e4,op(e4,e4)) = e4 ),
inference(cnf_transformation,[status(esa)],[f215]) ).
fof(f226,plain,
( pd0_5
| op(e4,e4) = e4 ),
inference(cnf_transformation,[status(esa)],[f215]) ).
fof(f229,plain,
( ~ pd0_0
| ( op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f209]) ).
fof(f230,plain,
( pd0_6
=> ( ( op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 ) ) ),
introduced(predicate_definition,[f229]) ).
fof(f231,plain,
( ~ pd0_0
| pd0_6
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 ) ),
inference(formula_renaming,[status(thm)],[f229,f230]) ).
fof(f232,plain,
( ~ pd0_0
| pd0_6
| op(e3,op(e3,e0)) != e0 ),
inference(cnf_transformation,[status(esa)],[f231]) ).
fof(f249,plain,
( ~ pd0_4
| ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f213]) ).
fof(f250,plain,
( pd0_10
=> ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 ) ) ),
introduced(predicate_definition,[f249]) ).
fof(f251,plain,
( ~ pd0_4
| pd0_10
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 ) ),
inference(formula_renaming,[status(thm)],[f249,f250]) ).
fof(f253,plain,
( ~ pd0_4
| pd0_10
| op(e4,op(e3,e4)) = e3 ),
inference(cnf_transformation,[status(esa)],[f251]) ).
fof(f254,plain,
( ~ pd0_5
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 ) ),
inference(pre_NNF_transformation,[status(esa)],[f214]) ).
fof(f255,plain,
( pd0_11
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 ) ) ),
introduced(predicate_definition,[f254]) ).
fof(f256,plain,
( ~ pd0_5
| pd0_11
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 ) ),
inference(formula_renaming,[status(thm)],[f254,f255]) ).
fof(f257,plain,
( ~ pd0_5
| pd0_11
| op(e4,e4) = e3 ),
inference(cnf_transformation,[status(esa)],[f256]) ).
fof(f260,plain,
( ~ pd0_6
| ( op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 ) ),
inference(pre_NNF_transformation,[status(esa)],[f230]) ).
fof(f261,plain,
( pd0_12
=> ( ( op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 ) ) ),
introduced(predicate_definition,[f260]) ).
fof(f262,plain,
( ~ pd0_6
| pd0_12
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 ) ),
inference(formula_renaming,[status(thm)],[f260,f261]) ).
fof(f264,plain,
( ~ pd0_6
| pd0_12
| op(e0,op(e2,e0)) = e2 ),
inference(cnf_transformation,[status(esa)],[f262]) ).
fof(f280,plain,
( ~ pd0_10
| ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 ) ),
inference(pre_NNF_transformation,[status(esa)],[f250]) ).
fof(f281,plain,
( pd0_16
=> ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 ) ) ),
introduced(predicate_definition,[f280]) ).
fof(f282,plain,
( ~ pd0_10
| pd0_16
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 ) ),
inference(formula_renaming,[status(thm)],[f280,f281]) ).
fof(f284,plain,
( ~ pd0_10
| pd0_16
| op(e4,op(e2,e4)) = e2 ),
inference(cnf_transformation,[status(esa)],[f282]) ).
fof(f285,plain,
( ~ pd0_11
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 ) ),
inference(pre_NNF_transformation,[status(esa)],[f255]) ).
fof(f286,plain,
( pd0_17
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 ) ) ),
introduced(predicate_definition,[f285]) ).
fof(f287,plain,
( ~ pd0_11
| pd0_17
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 ) ),
inference(formula_renaming,[status(thm)],[f285,f286]) ).
fof(f288,plain,
( ~ pd0_11
| pd0_17
| op(e4,e4) = e2 ),
inference(cnf_transformation,[status(esa)],[f287]) ).
fof(f291,plain,
( ~ pd0_12
| ( op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 ) ),
inference(pre_NNF_transformation,[status(esa)],[f261]) ).
fof(f292,plain,
( pd0_18
=> ( op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 ) ),
introduced(predicate_definition,[f291]) ).
fof(f293,plain,
( ~ pd0_12
| pd0_18
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 ) ),
inference(formula_renaming,[status(thm)],[f291,f292]) ).
fof(f294,plain,
( ~ pd0_12
| pd0_18
| op(e1,op(e1,e0)) != e0 ),
inference(cnf_transformation,[status(esa)],[f293]) ).
fof(f311,plain,
( ~ pd0_16
| ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 ) ),
inference(pre_NNF_transformation,[status(esa)],[f281]) ).
fof(f312,plain,
( pd0_22
=> ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 ) ),
introduced(predicate_definition,[f311]) ).
fof(f313,plain,
( ~ pd0_16
| pd0_22
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 ) ),
inference(formula_renaming,[status(thm)],[f311,f312]) ).
fof(f314,plain,
( ~ pd0_16
| pd0_22
| op(e1,op(e1,e4)) != e4 ),
inference(cnf_transformation,[status(esa)],[f313]) ).
fof(f316,plain,
( ~ pd0_17
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 ) ),
inference(pre_NNF_transformation,[status(esa)],[f286]) ).
fof(f317,plain,
( pd0_23
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 ) ) ),
introduced(predicate_definition,[f316]) ).
fof(f318,plain,
( ~ pd0_17
| pd0_23
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 ) ),
inference(formula_renaming,[status(thm)],[f316,f317]) ).
fof(f319,plain,
( ~ pd0_17
| pd0_23
| op(e4,e4) = e1 ),
inference(cnf_transformation,[status(esa)],[f318]) ).
fof(f322,plain,
( ~ pd0_18
| ( op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 ) ),
inference(pre_NNF_transformation,[status(esa)],[f292]) ).
fof(f323,plain,
( ~ pd0_18
| op(e0,op(e0,e0)) != e0 ),
inference(cnf_transformation,[status(esa)],[f322]) ).
fof(f324,plain,
( ~ pd0_18
| op(e0,op(e0,e0)) = e0 ),
inference(cnf_transformation,[status(esa)],[f322]) ).
fof(f334,plain,
( ~ pd0_22
| ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 ) ),
inference(pre_NNF_transformation,[status(esa)],[f312]) ).
fof(f335,plain,
( ~ pd0_22
| op(e0,op(e0,e4)) != e4 ),
inference(cnf_transformation,[status(esa)],[f334]) ).
fof(f336,plain,
( ~ pd0_22
| op(e4,op(e0,e4)) = e0 ),
inference(cnf_transformation,[status(esa)],[f334]) ).
fof(f337,plain,
( ~ pd0_23
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 ) ),
inference(pre_NNF_transformation,[status(esa)],[f317]) ).
fof(f338,plain,
( pd0_24
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 ) ) ),
introduced(predicate_definition,[f337]) ).
fof(f339,plain,
( ~ pd0_23
| pd0_24
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 ) ),
inference(formula_renaming,[status(thm)],[f337,f338]) ).
fof(f341,plain,
( ~ pd0_23
| pd0_24
| op(e0,e0) = e4 ),
inference(cnf_transformation,[status(esa)],[f339]) ).
fof(f343,plain,
( ~ pd0_24
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f338]) ).
fof(f344,plain,
( pd0_25
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 ) ) ),
introduced(predicate_definition,[f343]) ).
fof(f345,plain,
( ~ pd0_24
| pd0_25
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 ) ),
inference(formula_renaming,[status(thm)],[f343,f344]) ).
fof(f347,plain,
( ~ pd0_24
| pd0_25
| op(e4,e4) = e3 ),
inference(cnf_transformation,[status(esa)],[f345]) ).
fof(f349,plain,
( ~ pd0_25
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f344]) ).
fof(f350,plain,
( pd0_26
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 ) ) ),
introduced(predicate_definition,[f349]) ).
fof(f351,plain,
( ~ pd0_25
| pd0_26
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 ) ),
inference(formula_renaming,[status(thm)],[f349,f350]) ).
fof(f352,plain,
( ~ pd0_25
| pd0_26
| op(e3,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f351]) ).
fof(f354,plain,
( ~ pd0_25
| pd0_26
| op(e3,e3) != e3 ),
inference(cnf_transformation,[status(esa)],[f351]) ).
fof(f355,plain,
( ~ pd0_26
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f350]) ).
fof(f356,plain,
( pd0_27
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 ) ) ),
introduced(predicate_definition,[f355]) ).
fof(f357,plain,
( ~ pd0_26
| pd0_27
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 ) ),
inference(formula_renaming,[status(thm)],[f355,f356]) ).
fof(f359,plain,
( ~ pd0_26
| pd0_27
| op(e2,e2) = e3 ),
inference(cnf_transformation,[status(esa)],[f357]) ).
fof(f361,plain,
( ~ pd0_27
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f356]) ).
fof(f362,plain,
( pd0_28
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 ) ) ),
introduced(predicate_definition,[f361]) ).
fof(f363,plain,
( ~ pd0_27
| pd0_28
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 ) ),
inference(formula_renaming,[status(thm)],[f361,f362]) ).
fof(f364,plain,
( ~ pd0_27
| pd0_28
| op(e3,e3) = e1 ),
inference(cnf_transformation,[status(esa)],[f363]) ).
fof(f367,plain,
( ~ pd0_28
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f362]) ).
fof(f368,plain,
( pd0_29
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 ) ) ),
introduced(predicate_definition,[f367]) ).
fof(f369,plain,
( ~ pd0_28
| pd0_29
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 ) ),
inference(formula_renaming,[status(thm)],[f367,f368]) ).
fof(f370,plain,
( ~ pd0_28
| pd0_29
| op(e3,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f369]) ).
fof(f371,plain,
( ~ pd0_28
| pd0_29
| op(e0,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f369]) ).
fof(f373,plain,
( ~ pd0_29
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 ) ),
inference(pre_NNF_transformation,[status(esa)],[f368]) ).
fof(f374,plain,
( pd0_30
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 ) ) ),
introduced(predicate_definition,[f373]) ).
fof(f375,plain,
( ~ pd0_29
| pd0_30
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 ) ),
inference(formula_renaming,[status(thm)],[f373,f374]) ).
fof(f377,plain,
( ~ pd0_29
| pd0_30
| op(e4,e4) = e2 ),
inference(cnf_transformation,[status(esa)],[f375]) ).
fof(f379,plain,
( ~ pd0_30
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 ) ),
inference(pre_NNF_transformation,[status(esa)],[f374]) ).
fof(f380,plain,
( pd0_31
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 ) ) ),
introduced(predicate_definition,[f379]) ).
fof(f381,plain,
( ~ pd0_30
| pd0_31
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 ) ),
inference(formula_renaming,[status(thm)],[f379,f380]) ).
fof(f382,plain,
( ~ pd0_30
| pd0_31
| op(e2,e2) = e3 ),
inference(cnf_transformation,[status(esa)],[f381]) ).
fof(f385,plain,
( ~ pd0_31
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 ) ),
inference(pre_NNF_transformation,[status(esa)],[f380]) ).
fof(f386,plain,
( pd0_32
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 ) ) ),
introduced(predicate_definition,[f385]) ).
fof(f387,plain,
( ~ pd0_31
| pd0_32
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 ) ),
inference(formula_renaming,[status(thm)],[f385,f386]) ).
fof(f388,plain,
( ~ pd0_31
| pd0_32
| op(e2,e2) = e2 ),
inference(cnf_transformation,[status(esa)],[f387]) ).
fof(f391,plain,
( ~ pd0_32
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 ) ),
inference(pre_NNF_transformation,[status(esa)],[f386]) ).
fof(f392,plain,
( pd0_33
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 ) ) ),
introduced(predicate_definition,[f391]) ).
fof(f393,plain,
( ~ pd0_32
| pd0_33
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 ) ),
inference(formula_renaming,[status(thm)],[f391,f392]) ).
fof(f394,plain,
( ~ pd0_32
| pd0_33
| op(e2,e2) = e1 ),
inference(cnf_transformation,[status(esa)],[f393]) ).
fof(f397,plain,
( ~ pd0_33
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 ) ),
inference(pre_NNF_transformation,[status(esa)],[f392]) ).
fof(f398,plain,
( pd0_34
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 ) ) ),
introduced(predicate_definition,[f397]) ).
fof(f399,plain,
( ~ pd0_33
| pd0_34
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 ) ),
inference(formula_renaming,[status(thm)],[f397,f398]) ).
fof(f400,plain,
( ~ pd0_33
| pd0_34
| op(e2,e2) = e0 ),
inference(cnf_transformation,[status(esa)],[f399]) ).
fof(f403,plain,
( ~ pd0_34
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 ) ),
inference(pre_NNF_transformation,[status(esa)],[f398]) ).
fof(f404,plain,
( pd0_35
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 ) ) ),
introduced(predicate_definition,[f403]) ).
fof(f405,plain,
( ~ pd0_34
| pd0_35
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 ) ),
inference(formula_renaming,[status(thm)],[f403,f404]) ).
fof(f406,plain,
( ~ pd0_34
| pd0_35
| op(e1,e1) = e4 ),
inference(cnf_transformation,[status(esa)],[f405]) ).
fof(f407,plain,
( ~ pd0_34
| pd0_35
| op(e4,e4) = e1 ),
inference(cnf_transformation,[status(esa)],[f405]) ).
fof(f409,plain,
( ~ pd0_35
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 ) ),
inference(pre_NNF_transformation,[status(esa)],[f404]) ).
fof(f410,plain,
( pd0_36
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 ) ) ),
introduced(predicate_definition,[f409]) ).
fof(f411,plain,
( ~ pd0_35
| pd0_36
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 ) ),
inference(formula_renaming,[status(thm)],[f409,f410]) ).
fof(f413,plain,
( ~ pd0_35
| pd0_36
| op(e3,e3) = e1 ),
inference(cnf_transformation,[status(esa)],[f411]) ).
fof(f415,plain,
( ~ pd0_36
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 ) ),
inference(pre_NNF_transformation,[status(esa)],[f410]) ).
fof(f416,plain,
( pd0_37
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 ) ) ),
introduced(predicate_definition,[f415]) ).
fof(f417,plain,
( ~ pd0_36
| pd0_37
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 ) ),
inference(formula_renaming,[status(thm)],[f415,f416]) ).
fof(f418,plain,
( ~ pd0_36
| pd0_37
| op(e1,e1) = e2 ),
inference(cnf_transformation,[status(esa)],[f417]) ).
fof(f419,plain,
( ~ pd0_36
| pd0_37
| op(e2,e2) = e1 ),
inference(cnf_transformation,[status(esa)],[f417]) ).
fof(f421,plain,
( ~ pd0_37
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 ) ),
inference(pre_NNF_transformation,[status(esa)],[f416]) ).
fof(f422,plain,
( pd0_38
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 ) ) ),
introduced(predicate_definition,[f421]) ).
fof(f423,plain,
( ~ pd0_37
| pd0_38
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 ) ),
inference(formula_renaming,[status(thm)],[f421,f422]) ).
fof(f424,plain,
( ~ pd0_37
| pd0_38
| op(e1,e1) = e1 ),
inference(cnf_transformation,[status(esa)],[f423]) ).
fof(f426,plain,
( ~ pd0_37
| pd0_38
| op(e1,e1) != e1 ),
inference(cnf_transformation,[status(esa)],[f423]) ).
fof(f427,plain,
( ~ pd0_38
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 ) ),
inference(pre_NNF_transformation,[status(esa)],[f422]) ).
fof(f428,plain,
( pd0_39
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 ) ) ),
introduced(predicate_definition,[f427]) ).
fof(f429,plain,
( ~ pd0_38
| pd0_39
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 ) ),
inference(formula_renaming,[status(thm)],[f427,f428]) ).
fof(f430,plain,
( ~ pd0_38
| pd0_39
| op(e1,e1) = e0 ),
inference(cnf_transformation,[status(esa)],[f429]) ).
fof(f431,plain,
( ~ pd0_38
| pd0_39
| op(e0,e0) = e1 ),
inference(cnf_transformation,[status(esa)],[f429]) ).
fof(f433,plain,
( ~ pd0_39
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 ) ),
inference(pre_NNF_transformation,[status(esa)],[f428]) ).
fof(f434,plain,
( pd0_40
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 ) ) ),
introduced(predicate_definition,[f433]) ).
fof(f435,plain,
( ~ pd0_39
| pd0_40
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 ) ),
inference(formula_renaming,[status(thm)],[f433,f434]) ).
fof(f436,plain,
( ~ pd0_39
| pd0_40
| op(e0,e0) = e4 ),
inference(cnf_transformation,[status(esa)],[f435]) ).
fof(f439,plain,
( ~ pd0_40
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 ) ),
inference(pre_NNF_transformation,[status(esa)],[f434]) ).
fof(f440,plain,
( pd0_41
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 ) ) ),
introduced(predicate_definition,[f439]) ).
fof(f441,plain,
( ~ pd0_40
| pd0_41
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 ) ),
inference(formula_renaming,[status(thm)],[f439,f440]) ).
fof(f442,plain,
( ~ pd0_40
| pd0_41
| op(e0,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f441]) ).
fof(f443,plain,
( ~ pd0_40
| pd0_41
| op(e3,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f441]) ).
fof(f445,plain,
( ~ pd0_41
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 ) ),
inference(pre_NNF_transformation,[status(esa)],[f440]) ).
fof(f446,plain,
( pd0_42
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 ) ) ),
introduced(predicate_definition,[f445]) ).
fof(f447,plain,
( ~ pd0_41
| pd0_42
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 ) ),
inference(formula_renaming,[status(thm)],[f445,f446]) ).
fof(f449,plain,
( ~ pd0_41
| pd0_42
| op(e2,e2) = e0 ),
inference(cnf_transformation,[status(esa)],[f447]) ).
fof(f451,plain,
( ~ pd0_42
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 ) ),
inference(pre_NNF_transformation,[status(esa)],[f446]) ).
fof(f452,plain,
( pd0_43
=> ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 ) ),
introduced(predicate_definition,[f451]) ).
fof(f453,plain,
( ~ pd0_42
| pd0_43
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 ) ),
inference(formula_renaming,[status(thm)],[f451,f452]) ).
fof(f454,plain,
( ~ pd0_42
| pd0_43
| op(e0,e0) = e1 ),
inference(cnf_transformation,[status(esa)],[f453]) ).
fof(f457,plain,
( ~ pd0_43
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 ) ),
inference(pre_NNF_transformation,[status(esa)],[f452]) ).
fof(f458,plain,
( ~ pd0_43
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(esa)],[f457]) ).
fof(f460,plain,
( ~ pd0_43
| op(e0,e0) != e0 ),
inference(cnf_transformation,[status(esa)],[f457]) ).
fof(f461,plain,
( spl0_0
<=> op(e0,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f462,plain,
( op(e0,e0) = e0
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f461]) ).
fof(f463,plain,
( op(e0,e0) != e0
| spl0_0 ),
inference(component_clause,[status(thm)],[f461]) ).
fof(f464,plain,
( spl0_1
<=> op(e0,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f465,plain,
( op(e0,e0) = e1
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f464]) ).
fof(f467,plain,
( spl0_2
<=> op(e0,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f468,plain,
( op(e0,e0) = e2
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f467]) ).
fof(f470,plain,
( spl0_3
<=> op(e0,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f471,plain,
( op(e0,e0) = e3
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f470]) ).
fof(f473,plain,
( spl0_4
<=> op(e0,e0) = e4 ),
introduced(split_symbol_definition) ).
fof(f474,plain,
( op(e0,e0) = e4
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f473]) ).
fof(f477,plain,
( spl0_5
<=> op(e0,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f478,plain,
( op(e0,e1) = e0
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f477]) ).
fof(f480,plain,
( spl0_6
<=> op(e0,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f483,plain,
( spl0_7
<=> op(e0,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f486,plain,
( spl0_8
<=> op(e0,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f487,plain,
( op(e0,e1) = e3
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f486]) ).
fof(f489,plain,
( spl0_9
<=> op(e0,e1) = e4 ),
introduced(split_symbol_definition) ).
fof(f490,plain,
( op(e0,e1) = e4
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f489]) ).
fof(f493,plain,
( spl0_10
<=> op(e0,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f494,plain,
( op(e0,e2) = e0
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f493]) ).
fof(f499,plain,
( spl0_12
<=> op(e0,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f500,plain,
( op(e0,e2) = e2
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f499]) ).
fof(f502,plain,
( spl0_13
<=> op(e0,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f503,plain,
( op(e0,e2) = e3
| ~ spl0_13 ),
inference(component_clause,[status(thm)],[f502]) ).
fof(f505,plain,
( spl0_14
<=> op(e0,e2) = e4 ),
introduced(split_symbol_definition) ).
fof(f506,plain,
( op(e0,e2) = e4
| ~ spl0_14 ),
inference(component_clause,[status(thm)],[f505]) ).
fof(f509,plain,
( spl0_15
<=> op(e0,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f515,plain,
( spl0_17
<=> op(e0,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f518,plain,
( spl0_18
<=> op(e0,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f519,plain,
( op(e0,e3) = e3
| ~ spl0_18 ),
inference(component_clause,[status(thm)],[f518]) ).
fof(f521,plain,
( spl0_19
<=> op(e0,e3) = e4 ),
introduced(split_symbol_definition) ).
fof(f528,plain,
( spl0_21
<=> op(e0,e4) = e1 ),
introduced(split_symbol_definition) ).
fof(f529,plain,
( op(e0,e4) = e1
| ~ spl0_21 ),
inference(component_clause,[status(thm)],[f528]) ).
fof(f531,plain,
( spl0_22
<=> op(e0,e4) = e2 ),
introduced(split_symbol_definition) ).
fof(f532,plain,
( op(e0,e4) = e2
| ~ spl0_22 ),
inference(component_clause,[status(thm)],[f531]) ).
fof(f534,plain,
( spl0_23
<=> op(e0,e4) = e3 ),
introduced(split_symbol_definition) ).
fof(f535,plain,
( op(e0,e4) = e3
| ~ spl0_23 ),
inference(component_clause,[status(thm)],[f534]) ).
fof(f537,plain,
( spl0_24
<=> op(e0,e4) = e4 ),
introduced(split_symbol_definition) ).
fof(f538,plain,
( op(e0,e4) = e4
| ~ spl0_24 ),
inference(component_clause,[status(thm)],[f537]) ).
fof(f539,plain,
( op(e0,e4) != e4
| spl0_24 ),
inference(component_clause,[status(thm)],[f537]) ).
fof(f541,plain,
( spl0_25
<=> op(e1,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f542,plain,
( op(e1,e0) = e0
| ~ spl0_25 ),
inference(component_clause,[status(thm)],[f541]) ).
fof(f544,plain,
( spl0_26
<=> op(e1,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f545,plain,
( op(e1,e0) = e1
| ~ spl0_26 ),
inference(component_clause,[status(thm)],[f544]) ).
fof(f547,plain,
( spl0_27
<=> op(e1,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f548,plain,
( op(e1,e0) = e2
| ~ spl0_27 ),
inference(component_clause,[status(thm)],[f547]) ).
fof(f550,plain,
( spl0_28
<=> op(e1,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f551,plain,
( op(e1,e0) = e3
| ~ spl0_28 ),
inference(component_clause,[status(thm)],[f550]) ).
fof(f557,plain,
( spl0_30
<=> op(e1,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f560,plain,
( spl0_31
<=> op(e1,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f561,plain,
( op(e1,e1) = e1
| ~ spl0_31 ),
inference(component_clause,[status(thm)],[f560]) ).
fof(f563,plain,
( spl0_32
<=> op(e1,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f564,plain,
( op(e1,e1) = e2
| ~ spl0_32 ),
inference(component_clause,[status(thm)],[f563]) ).
fof(f569,plain,
( spl0_34
<=> op(e1,e1) = e4 ),
introduced(split_symbol_definition) ).
fof(f570,plain,
( op(e1,e1) = e4
| ~ spl0_34 ),
inference(component_clause,[status(thm)],[f569]) ).
fof(f573,plain,
( spl0_35
<=> op(e1,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f574,plain,
( op(e1,e2) = e0
| ~ spl0_35 ),
inference(component_clause,[status(thm)],[f573]) ).
fof(f576,plain,
( spl0_36
<=> op(e1,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f577,plain,
( op(e1,e2) = e1
| ~ spl0_36 ),
inference(component_clause,[status(thm)],[f576]) ).
fof(f579,plain,
( spl0_37
<=> op(e1,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f580,plain,
( op(e1,e2) = e2
| ~ spl0_37 ),
inference(component_clause,[status(thm)],[f579]) ).
fof(f582,plain,
( spl0_38
<=> op(e1,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f583,plain,
( op(e1,e2) = e3
| ~ spl0_38 ),
inference(component_clause,[status(thm)],[f582]) ).
fof(f585,plain,
( spl0_39
<=> op(e1,e2) = e4 ),
introduced(split_symbol_definition) ).
fof(f589,plain,
( spl0_40
<=> op(e1,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f590,plain,
( op(e1,e3) = e0
| ~ spl0_40 ),
inference(component_clause,[status(thm)],[f589]) ).
fof(f592,plain,
( spl0_41
<=> op(e1,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f595,plain,
( spl0_42
<=> op(e1,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f598,plain,
( spl0_43
<=> op(e1,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f599,plain,
( op(e1,e3) = e3
| ~ spl0_43 ),
inference(component_clause,[status(thm)],[f598]) ).
fof(f601,plain,
( spl0_44
<=> op(e1,e3) = e4 ),
introduced(split_symbol_definition) ).
fof(f602,plain,
( op(e1,e3) = e4
| ~ spl0_44 ),
inference(component_clause,[status(thm)],[f601]) ).
fof(f605,plain,
( spl0_45
<=> op(e1,e4) = e0 ),
introduced(split_symbol_definition) ).
fof(f606,plain,
( op(e1,e4) = e0
| ~ spl0_45 ),
inference(component_clause,[status(thm)],[f605]) ).
fof(f608,plain,
( spl0_46
<=> op(e1,e4) = e1 ),
introduced(split_symbol_definition) ).
fof(f609,plain,
( op(e1,e4) = e1
| ~ spl0_46 ),
inference(component_clause,[status(thm)],[f608]) ).
fof(f611,plain,
( spl0_47
<=> op(e1,e4) = e2 ),
introduced(split_symbol_definition) ).
fof(f612,plain,
( op(e1,e4) = e2
| ~ spl0_47 ),
inference(component_clause,[status(thm)],[f611]) ).
fof(f614,plain,
( spl0_48
<=> op(e1,e4) = e3 ),
introduced(split_symbol_definition) ).
fof(f615,plain,
( op(e1,e4) = e3
| ~ spl0_48 ),
inference(component_clause,[status(thm)],[f614]) ).
fof(f617,plain,
( spl0_49
<=> op(e1,e4) = e4 ),
introduced(split_symbol_definition) ).
fof(f618,plain,
( op(e1,e4) = e4
| ~ spl0_49 ),
inference(component_clause,[status(thm)],[f617]) ).
fof(f621,plain,
( spl0_50
<=> op(e2,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f624,plain,
( spl0_51
<=> op(e2,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f625,plain,
( op(e2,e0) = e1
| ~ spl0_51 ),
inference(component_clause,[status(thm)],[f624]) ).
fof(f627,plain,
( spl0_52
<=> op(e2,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f628,plain,
( op(e2,e0) = e2
| ~ spl0_52 ),
inference(component_clause,[status(thm)],[f627]) ).
fof(f630,plain,
( spl0_53
<=> op(e2,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f631,plain,
( op(e2,e0) = e3
| ~ spl0_53 ),
inference(component_clause,[status(thm)],[f630]) ).
fof(f637,plain,
( spl0_55
<=> op(e2,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f640,plain,
( spl0_56
<=> op(e2,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f641,plain,
( op(e2,e1) = e1
| ~ spl0_56 ),
inference(component_clause,[status(thm)],[f640]) ).
fof(f649,plain,
( spl0_59
<=> op(e2,e1) = e4 ),
introduced(split_symbol_definition) ).
fof(f650,plain,
( op(e2,e1) = e4
| ~ spl0_59 ),
inference(component_clause,[status(thm)],[f649]) ).
fof(f653,plain,
( spl0_60
<=> op(e2,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f654,plain,
( op(e2,e2) = e0
| ~ spl0_60 ),
inference(component_clause,[status(thm)],[f653]) ).
fof(f656,plain,
( spl0_61
<=> op(e2,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f657,plain,
( op(e2,e2) = e1
| ~ spl0_61 ),
inference(component_clause,[status(thm)],[f656]) ).
fof(f659,plain,
( spl0_62
<=> op(e2,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f660,plain,
( op(e2,e2) = e2
| ~ spl0_62 ),
inference(component_clause,[status(thm)],[f659]) ).
fof(f662,plain,
( spl0_63
<=> op(e2,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f663,plain,
( op(e2,e2) = e3
| ~ spl0_63 ),
inference(component_clause,[status(thm)],[f662]) ).
fof(f665,plain,
( spl0_64
<=> op(e2,e2) = e4 ),
introduced(split_symbol_definition) ).
fof(f668,plain,
( spl0_60
| spl0_61
| spl0_62
| spl0_63
| spl0_64 ),
inference(split_clause,[status(thm)],[f21,f653,f656,f659,f662,f665]) ).
fof(f669,plain,
( spl0_65
<=> op(e2,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f670,plain,
( op(e2,e3) = e0
| ~ spl0_65 ),
inference(component_clause,[status(thm)],[f669]) ).
fof(f672,plain,
( spl0_66
<=> op(e2,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f673,plain,
( op(e2,e3) = e1
| ~ spl0_66 ),
inference(component_clause,[status(thm)],[f672]) ).
fof(f685,plain,
( spl0_70
<=> op(e2,e4) = e0 ),
introduced(split_symbol_definition) ).
fof(f686,plain,
( op(e2,e4) = e0
| ~ spl0_70 ),
inference(component_clause,[status(thm)],[f685]) ).
fof(f688,plain,
( spl0_71
<=> op(e2,e4) = e1 ),
introduced(split_symbol_definition) ).
fof(f689,plain,
( op(e2,e4) = e1
| ~ spl0_71 ),
inference(component_clause,[status(thm)],[f688]) ).
fof(f691,plain,
( spl0_72
<=> op(e2,e4) = e2 ),
introduced(split_symbol_definition) ).
fof(f692,plain,
( op(e2,e4) = e2
| ~ spl0_72 ),
inference(component_clause,[status(thm)],[f691]) ).
fof(f694,plain,
( spl0_73
<=> op(e2,e4) = e3 ),
introduced(split_symbol_definition) ).
fof(f695,plain,
( op(e2,e4) = e3
| ~ spl0_73 ),
inference(component_clause,[status(thm)],[f694]) ).
fof(f697,plain,
( spl0_74
<=> op(e2,e4) = e4 ),
introduced(split_symbol_definition) ).
fof(f698,plain,
( op(e2,e4) = e4
| ~ spl0_74 ),
inference(component_clause,[status(thm)],[f697]) ).
fof(f701,plain,
( spl0_75
<=> op(e3,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f707,plain,
( spl0_77
<=> op(e3,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f708,plain,
( op(e3,e0) = e2
| ~ spl0_77 ),
inference(component_clause,[status(thm)],[f707]) ).
fof(f717,plain,
( spl0_80
<=> op(e3,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f720,plain,
( spl0_81
<=> op(e3,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f721,plain,
( op(e3,e1) = e1
| ~ spl0_81 ),
inference(component_clause,[status(thm)],[f720]) ).
fof(f729,plain,
( spl0_84
<=> op(e3,e1) = e4 ),
introduced(split_symbol_definition) ).
fof(f733,plain,
( spl0_85
<=> op(e3,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f734,plain,
( op(e3,e2) = e0
| ~ spl0_85 ),
inference(component_clause,[status(thm)],[f733]) ).
fof(f736,plain,
( spl0_86
<=> op(e3,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f737,plain,
( op(e3,e2) = e1
| ~ spl0_86 ),
inference(component_clause,[status(thm)],[f736]) ).
fof(f739,plain,
( spl0_87
<=> op(e3,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f745,plain,
( spl0_89
<=> op(e3,e2) = e4 ),
introduced(split_symbol_definition) ).
fof(f746,plain,
( op(e3,e2) = e4
| ~ spl0_89 ),
inference(component_clause,[status(thm)],[f745]) ).
fof(f749,plain,
( spl0_90
<=> op(e3,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f750,plain,
( op(e3,e3) = e0
| ~ spl0_90 ),
inference(component_clause,[status(thm)],[f749]) ).
fof(f752,plain,
( spl0_91
<=> op(e3,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f753,plain,
( op(e3,e3) = e1
| ~ spl0_91 ),
inference(component_clause,[status(thm)],[f752]) ).
fof(f758,plain,
( spl0_93
<=> op(e3,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f759,plain,
( op(e3,e3) = e3
| ~ spl0_93 ),
inference(component_clause,[status(thm)],[f758]) ).
fof(f765,plain,
( spl0_95
<=> op(e3,e4) = e0 ),
introduced(split_symbol_definition) ).
fof(f766,plain,
( op(e3,e4) = e0
| ~ spl0_95 ),
inference(component_clause,[status(thm)],[f765]) ).
fof(f768,plain,
( spl0_96
<=> op(e3,e4) = e1 ),
introduced(split_symbol_definition) ).
fof(f771,plain,
( spl0_97
<=> op(e3,e4) = e2 ),
introduced(split_symbol_definition) ).
fof(f772,plain,
( op(e3,e4) = e2
| ~ spl0_97 ),
inference(component_clause,[status(thm)],[f771]) ).
fof(f774,plain,
( spl0_98
<=> op(e3,e4) = e3 ),
introduced(split_symbol_definition) ).
fof(f775,plain,
( op(e3,e4) = e3
| ~ spl0_98 ),
inference(component_clause,[status(thm)],[f774]) ).
fof(f777,plain,
( spl0_99
<=> op(e3,e4) = e4 ),
introduced(split_symbol_definition) ).
fof(f778,plain,
( op(e3,e4) = e4
| ~ spl0_99 ),
inference(component_clause,[status(thm)],[f777]) ).
fof(f780,plain,
( spl0_95
| spl0_96
| spl0_97
| spl0_98
| spl0_99 ),
inference(split_clause,[status(thm)],[f28,f765,f768,f771,f774,f777]) ).
fof(f781,plain,
( spl0_100
<=> op(e4,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f782,plain,
( op(e4,e0) = e0
| ~ spl0_100 ),
inference(component_clause,[status(thm)],[f781]) ).
fof(f787,plain,
( spl0_102
<=> op(e4,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f788,plain,
( op(e4,e0) = e2
| ~ spl0_102 ),
inference(component_clause,[status(thm)],[f787]) ).
fof(f790,plain,
( spl0_103
<=> op(e4,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f791,plain,
( op(e4,e0) = e3
| ~ spl0_103 ),
inference(component_clause,[status(thm)],[f790]) ).
fof(f793,plain,
( spl0_104
<=> op(e4,e0) = e4 ),
introduced(split_symbol_definition) ).
fof(f794,plain,
( op(e4,e0) = e4
| ~ spl0_104 ),
inference(component_clause,[status(thm)],[f793]) ).
fof(f795,plain,
( op(e4,e0) != e4
| spl0_104 ),
inference(component_clause,[status(thm)],[f793]) ).
fof(f797,plain,
( spl0_105
<=> op(e4,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f798,plain,
( op(e4,e1) = e0
| ~ spl0_105 ),
inference(component_clause,[status(thm)],[f797]) ).
fof(f800,plain,
( spl0_106
<=> op(e4,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f801,plain,
( op(e4,e1) = e1
| ~ spl0_106 ),
inference(component_clause,[status(thm)],[f800]) ).
fof(f806,plain,
( spl0_108
<=> op(e4,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f807,plain,
( op(e4,e1) = e3
| ~ spl0_108 ),
inference(component_clause,[status(thm)],[f806]) ).
fof(f809,plain,
( spl0_109
<=> op(e4,e1) = e4 ),
introduced(split_symbol_definition) ).
fof(f810,plain,
( op(e4,e1) = e4
| ~ spl0_109 ),
inference(component_clause,[status(thm)],[f809]) ).
fof(f813,plain,
( spl0_110
<=> op(e4,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f819,plain,
( spl0_112
<=> op(e4,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f820,plain,
( op(e4,e2) = e2
| ~ spl0_112 ),
inference(component_clause,[status(thm)],[f819]) ).
fof(f822,plain,
( spl0_113
<=> op(e4,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f825,plain,
( spl0_114
<=> op(e4,e2) = e4 ),
introduced(split_symbol_definition) ).
fof(f826,plain,
( op(e4,e2) = e4
| ~ spl0_114 ),
inference(component_clause,[status(thm)],[f825]) ).
fof(f835,plain,
( spl0_117
<=> op(e4,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f836,plain,
( op(e4,e3) = e2
| ~ spl0_117 ),
inference(component_clause,[status(thm)],[f835]) ).
fof(f838,plain,
( spl0_118
<=> op(e4,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f839,plain,
( op(e4,e3) = e3
| ~ spl0_118 ),
inference(component_clause,[status(thm)],[f838]) ).
fof(f841,plain,
( spl0_119
<=> op(e4,e3) = e4 ),
introduced(split_symbol_definition) ).
fof(f842,plain,
( op(e4,e3) = e4
| ~ spl0_119 ),
inference(component_clause,[status(thm)],[f841]) ).
fof(f845,plain,
( spl0_120
<=> op(e4,e4) = e0 ),
introduced(split_symbol_definition) ).
fof(f848,plain,
( spl0_121
<=> op(e4,e4) = e1 ),
introduced(split_symbol_definition) ).
fof(f849,plain,
( op(e4,e4) = e1
| ~ spl0_121 ),
inference(component_clause,[status(thm)],[f848]) ).
fof(f851,plain,
( spl0_122
<=> op(e4,e4) = e2 ),
introduced(split_symbol_definition) ).
fof(f852,plain,
( op(e4,e4) = e2
| ~ spl0_122 ),
inference(component_clause,[status(thm)],[f851]) ).
fof(f854,plain,
( spl0_123
<=> op(e4,e4) = e3 ),
introduced(split_symbol_definition) ).
fof(f855,plain,
( op(e4,e4) = e3
| ~ spl0_123 ),
inference(component_clause,[status(thm)],[f854]) ).
fof(f857,plain,
( spl0_124
<=> op(e4,e4) = e4 ),
introduced(split_symbol_definition) ).
fof(f858,plain,
( op(e4,e4) = e4
| ~ spl0_124 ),
inference(component_clause,[status(thm)],[f857]) ).
fof(f860,plain,
( spl0_120
| spl0_121
| spl0_122
| spl0_123
| spl0_124 ),
inference(split_clause,[status(thm)],[f33,f845,f848,f851,f854,f857]) ).
fof(f861,plain,
( spl0_125
<=> unit = e0 ),
introduced(split_symbol_definition) ).
fof(f862,plain,
( unit = e0
| ~ spl0_125 ),
inference(component_clause,[status(thm)],[f861]) ).
fof(f864,plain,
( spl0_126
<=> unit = e1 ),
introduced(split_symbol_definition) ).
fof(f865,plain,
( unit = e1
| ~ spl0_126 ),
inference(component_clause,[status(thm)],[f864]) ).
fof(f867,plain,
( spl0_127
<=> unit = e2 ),
introduced(split_symbol_definition) ).
fof(f868,plain,
( unit = e2
| ~ spl0_127 ),
inference(component_clause,[status(thm)],[f867]) ).
fof(f870,plain,
( spl0_128
<=> unit = e3 ),
introduced(split_symbol_definition) ).
fof(f871,plain,
( unit = e3
| ~ spl0_128 ),
inference(component_clause,[status(thm)],[f870]) ).
fof(f873,plain,
( spl0_129
<=> unit = e4 ),
introduced(split_symbol_definition) ).
fof(f874,plain,
( unit = e4
| ~ spl0_129 ),
inference(component_clause,[status(thm)],[f873]) ).
fof(f876,plain,
( spl0_125
| spl0_126
| spl0_127
| spl0_128
| spl0_129 ),
inference(split_clause,[status(thm)],[f44,f861,f864,f867,f870,f873]) ).
fof(f882,plain,
( spl0_2
| spl0_27
| spl0_52
| spl0_77
| spl0_102 ),
inference(split_clause,[status(thm)],[f50,f467,f547,f627,f707,f787]) ).
fof(f883,plain,
( spl0_3
| spl0_8
| spl0_13
| spl0_18
| spl0_23 ),
inference(split_clause,[status(thm)],[f51,f470,f486,f502,f518,f534]) ).
fof(f885,plain,
( spl0_4
| spl0_9
| spl0_14
| spl0_19
| spl0_24 ),
inference(split_clause,[status(thm)],[f53,f473,f489,f505,f521,f537]) ).
fof(f897,plain,
( spl0_50
| spl0_55
| spl0_60
| spl0_65
| spl0_70 ),
inference(split_clause,[status(thm)],[f65,f621,f637,f653,f669,f685]) ).
fof(f898,plain,
( spl0_10
| spl0_35
| spl0_60
| spl0_85
| spl0_110 ),
inference(split_clause,[status(thm)],[f66,f493,f573,f653,f733,f813]) ).
fof(f899,plain,
( spl0_51
| spl0_56
| spl0_61
| spl0_66
| spl0_71 ),
inference(split_clause,[status(thm)],[f67,f624,f640,f656,f672,f688]) ).
fof(f922,plain,
( spl0_22
| spl0_47
| spl0_72
| spl0_97
| spl0_122 ),
inference(split_clause,[status(thm)],[f90,f531,f611,f691,f771,f851]) ).
fof(f923,plain,
( spl0_103
| spl0_108
| spl0_113
| spl0_118
| spl0_123 ),
inference(split_clause,[status(thm)],[f91,f790,f806,f822,f838,f854]) ).
fof(f924,plain,
( spl0_23
| spl0_48
| spl0_73
| spl0_98
| spl0_123 ),
inference(split_clause,[status(thm)],[f92,f534,f614,f694,f774,f854]) ).
fof(f927,plain,
( spl0_130
<=> pd0_0 ),
introduced(split_symbol_definition) ).
fof(f934,plain,
( spl0_132
<=> op(e0,op(e4,e0)) = e4 ),
introduced(split_symbol_definition) ).
fof(f935,plain,
( op(e0,op(e4,e0)) = e4
| ~ spl0_132 ),
inference(component_clause,[status(thm)],[f934]) ).
fof(f937,plain,
( spl0_130
| spl0_132 ),
inference(split_clause,[status(thm)],[f217,f927,f934]) ).
fof(f971,plain,
( spl0_142
<=> pd0_4 ),
introduced(split_symbol_definition) ).
fof(f974,plain,
( spl0_143
<=> op(e4,op(e4,e4)) = e4 ),
introduced(split_symbol_definition) ).
fof(f975,plain,
( op(e4,op(e4,e4)) = e4
| ~ spl0_143 ),
inference(component_clause,[status(thm)],[f974]) ).
fof(f976,plain,
( op(e4,op(e4,e4)) != e4
| spl0_143 ),
inference(component_clause,[status(thm)],[f974]) ).
fof(f977,plain,
( spl0_142
| ~ spl0_143 ),
inference(split_clause,[status(thm)],[f224,f971,f974]) ).
fof(f978,plain,
( spl0_142
| spl0_143 ),
inference(split_clause,[status(thm)],[f225,f971,f974]) ).
fof(f979,plain,
( spl0_144
<=> pd0_5 ),
introduced(split_symbol_definition) ).
fof(f982,plain,
( spl0_144
| spl0_124 ),
inference(split_clause,[status(thm)],[f226,f979,f857]) ).
fof(f985,plain,
( spl0_145
<=> pd0_6 ),
introduced(split_symbol_definition) ).
fof(f988,plain,
( spl0_146
<=> op(e3,op(e3,e0)) = e0 ),
introduced(split_symbol_definition) ).
fof(f990,plain,
( op(e3,op(e3,e0)) != e0
| spl0_146 ),
inference(component_clause,[status(thm)],[f988]) ).
fof(f991,plain,
( ~ spl0_130
| spl0_145
| ~ spl0_146 ),
inference(split_clause,[status(thm)],[f232,f927,f985,f988]) ).
fof(f1014,plain,
( spl0_153
<=> op(e2,op(e3,e2)) = e3 ),
introduced(split_symbol_definition) ).
fof(f1015,plain,
( op(e2,op(e3,e2)) = e3
| ~ spl0_153 ),
inference(component_clause,[status(thm)],[f1014]) ).
fof(f1026,plain,
( spl0_156
<=> pd0_10 ),
introduced(split_symbol_definition) ).
fof(f1033,plain,
( spl0_158
<=> op(e4,op(e3,e4)) = e3 ),
introduced(split_symbol_definition) ).
fof(f1034,plain,
( op(e4,op(e3,e4)) = e3
| ~ spl0_158 ),
inference(component_clause,[status(thm)],[f1033]) ).
fof(f1036,plain,
( ~ spl0_142
| spl0_156
| spl0_158 ),
inference(split_clause,[status(thm)],[f253,f971,f1026,f1033]) ).
fof(f1037,plain,
( spl0_159
<=> pd0_11 ),
introduced(split_symbol_definition) ).
fof(f1040,plain,
( ~ spl0_144
| spl0_159
| spl0_123 ),
inference(split_clause,[status(thm)],[f257,f979,f1037,f854]) ).
fof(f1043,plain,
( spl0_160
<=> pd0_12 ),
introduced(split_symbol_definition) ).
fof(f1050,plain,
( spl0_162
<=> op(e0,op(e2,e0)) = e2 ),
introduced(split_symbol_definition) ).
fof(f1051,plain,
( op(e0,op(e2,e0)) = e2
| ~ spl0_162 ),
inference(component_clause,[status(thm)],[f1050]) ).
fof(f1053,plain,
( ~ spl0_145
| spl0_160
| spl0_162 ),
inference(split_clause,[status(thm)],[f264,f985,f1043,f1050]) ).
fof(f1084,plain,
( spl0_171
<=> pd0_16 ),
introduced(split_symbol_definition) ).
fof(f1091,plain,
( spl0_173
<=> op(e4,op(e2,e4)) = e2 ),
introduced(split_symbol_definition) ).
fof(f1092,plain,
( op(e4,op(e2,e4)) = e2
| ~ spl0_173 ),
inference(component_clause,[status(thm)],[f1091]) ).
fof(f1094,plain,
( ~ spl0_156
| spl0_171
| spl0_173 ),
inference(split_clause,[status(thm)],[f284,f1026,f1084,f1091]) ).
fof(f1095,plain,
( spl0_174
<=> pd0_17 ),
introduced(split_symbol_definition) ).
fof(f1098,plain,
( ~ spl0_159
| spl0_174
| spl0_122 ),
inference(split_clause,[status(thm)],[f288,f1037,f1095,f851]) ).
fof(f1101,plain,
( spl0_175
<=> pd0_18 ),
introduced(split_symbol_definition) ).
fof(f1104,plain,
( spl0_176
<=> op(e1,op(e1,e0)) = e0 ),
introduced(split_symbol_definition) ).
fof(f1106,plain,
( op(e1,op(e1,e0)) != e0
| spl0_176 ),
inference(component_clause,[status(thm)],[f1104]) ).
fof(f1107,plain,
( ~ spl0_160
| spl0_175
| ~ spl0_176 ),
inference(split_clause,[status(thm)],[f294,f1043,f1101,f1104]) ).
fof(f1142,plain,
( spl0_186
<=> pd0_22 ),
introduced(split_symbol_definition) ).
fof(f1145,plain,
( spl0_187
<=> op(e1,op(e1,e4)) = e4 ),
introduced(split_symbol_definition) ).
fof(f1147,plain,
( op(e1,op(e1,e4)) != e4
| spl0_187 ),
inference(component_clause,[status(thm)],[f1145]) ).
fof(f1148,plain,
( ~ spl0_171
| spl0_186
| ~ spl0_187 ),
inference(split_clause,[status(thm)],[f314,f1084,f1142,f1145]) ).
fof(f1153,plain,
( spl0_189
<=> pd0_23 ),
introduced(split_symbol_definition) ).
fof(f1156,plain,
( ~ spl0_174
| spl0_189
| spl0_121 ),
inference(split_clause,[status(thm)],[f319,f1095,f1153,f848]) ).
fof(f1159,plain,
( spl0_190
<=> op(e0,op(e0,e0)) = e0 ),
introduced(split_symbol_definition) ).
fof(f1162,plain,
( ~ spl0_175
| ~ spl0_190 ),
inference(split_clause,[status(thm)],[f323,f1101,f1159]) ).
fof(f1163,plain,
( ~ spl0_175
| spl0_190 ),
inference(split_clause,[status(thm)],[f324,f1101,f1159]) ).
fof(f1188,plain,
( spl0_197
<=> op(e0,op(e0,e4)) = e4 ),
introduced(split_symbol_definition) ).
fof(f1190,plain,
( op(e0,op(e0,e4)) != e4
| spl0_197 ),
inference(component_clause,[status(thm)],[f1188]) ).
fof(f1191,plain,
( ~ spl0_186
| ~ spl0_197 ),
inference(split_clause,[status(thm)],[f335,f1142,f1188]) ).
fof(f1192,plain,
( spl0_198
<=> op(e4,op(e0,e4)) = e0 ),
introduced(split_symbol_definition) ).
fof(f1193,plain,
( op(e4,op(e0,e4)) = e0
| ~ spl0_198 ),
inference(component_clause,[status(thm)],[f1192]) ).
fof(f1194,plain,
( op(e4,op(e0,e4)) != e0
| spl0_198 ),
inference(component_clause,[status(thm)],[f1192]) ).
fof(f1195,plain,
( ~ spl0_186
| spl0_198 ),
inference(split_clause,[status(thm)],[f336,f1142,f1192]) ).
fof(f1196,plain,
( spl0_199
<=> pd0_24 ),
introduced(split_symbol_definition) ).
fof(f1200,plain,
( ~ spl0_189
| spl0_199
| spl0_4 ),
inference(split_clause,[status(thm)],[f341,f1153,f1196,f473]) ).
fof(f1202,plain,
( spl0_200
<=> pd0_25 ),
introduced(split_symbol_definition) ).
fof(f1206,plain,
( ~ spl0_199
| spl0_200
| spl0_123 ),
inference(split_clause,[status(thm)],[f347,f1196,f1202,f854]) ).
fof(f1208,plain,
( spl0_201
<=> pd0_26 ),
introduced(split_symbol_definition) ).
fof(f1211,plain,
( ~ spl0_200
| spl0_201
| spl0_93 ),
inference(split_clause,[status(thm)],[f352,f1202,f1208,f758]) ).
fof(f1213,plain,
( ~ spl0_200
| spl0_201
| ~ spl0_93 ),
inference(split_clause,[status(thm)],[f354,f1202,f1208,f758]) ).
fof(f1214,plain,
( spl0_202
<=> pd0_27 ),
introduced(split_symbol_definition) ).
fof(f1218,plain,
( ~ spl0_201
| spl0_202
| spl0_63 ),
inference(split_clause,[status(thm)],[f359,f1208,f1214,f662]) ).
fof(f1220,plain,
( spl0_203
<=> pd0_28 ),
introduced(split_symbol_definition) ).
fof(f1223,plain,
( ~ spl0_202
| spl0_203
| spl0_91 ),
inference(split_clause,[status(thm)],[f364,f1214,f1220,f752]) ).
fof(f1226,plain,
( spl0_204
<=> pd0_29 ),
introduced(split_symbol_definition) ).
fof(f1229,plain,
( ~ spl0_203
| spl0_204
| spl0_90 ),
inference(split_clause,[status(thm)],[f370,f1220,f1226,f749]) ).
fof(f1230,plain,
( ~ spl0_203
| spl0_204
| spl0_3 ),
inference(split_clause,[status(thm)],[f371,f1220,f1226,f470]) ).
fof(f1232,plain,
( spl0_205
<=> pd0_30 ),
introduced(split_symbol_definition) ).
fof(f1236,plain,
( ~ spl0_204
| spl0_205
| spl0_122 ),
inference(split_clause,[status(thm)],[f377,f1226,f1232,f851]) ).
fof(f1238,plain,
( spl0_206
<=> pd0_31 ),
introduced(split_symbol_definition) ).
fof(f1241,plain,
( ~ spl0_205
| spl0_206
| spl0_63 ),
inference(split_clause,[status(thm)],[f382,f1232,f1238,f662]) ).
fof(f1244,plain,
( spl0_207
<=> pd0_32 ),
introduced(split_symbol_definition) ).
fof(f1247,plain,
( ~ spl0_206
| spl0_207
| spl0_62 ),
inference(split_clause,[status(thm)],[f388,f1238,f1244,f659]) ).
fof(f1250,plain,
( spl0_208
<=> pd0_33 ),
introduced(split_symbol_definition) ).
fof(f1253,plain,
( ~ spl0_207
| spl0_208
| spl0_61 ),
inference(split_clause,[status(thm)],[f394,f1244,f1250,f656]) ).
fof(f1256,plain,
( spl0_209
<=> pd0_34 ),
introduced(split_symbol_definition) ).
fof(f1259,plain,
( ~ spl0_208
| spl0_209
| spl0_60 ),
inference(split_clause,[status(thm)],[f400,f1250,f1256,f653]) ).
fof(f1262,plain,
( spl0_210
<=> pd0_35 ),
introduced(split_symbol_definition) ).
fof(f1265,plain,
( ~ spl0_209
| spl0_210
| spl0_34 ),
inference(split_clause,[status(thm)],[f406,f1256,f1262,f569]) ).
fof(f1266,plain,
( ~ spl0_209
| spl0_210
| spl0_121 ),
inference(split_clause,[status(thm)],[f407,f1256,f1262,f848]) ).
fof(f1268,plain,
( spl0_211
<=> pd0_36 ),
introduced(split_symbol_definition) ).
fof(f1272,plain,
( ~ spl0_210
| spl0_211
| spl0_91 ),
inference(split_clause,[status(thm)],[f413,f1262,f1268,f752]) ).
fof(f1274,plain,
( spl0_212
<=> pd0_37 ),
introduced(split_symbol_definition) ).
fof(f1277,plain,
( ~ spl0_211
| spl0_212
| spl0_32 ),
inference(split_clause,[status(thm)],[f418,f1268,f1274,f563]) ).
fof(f1278,plain,
( ~ spl0_211
| spl0_212
| spl0_61 ),
inference(split_clause,[status(thm)],[f419,f1268,f1274,f656]) ).
fof(f1280,plain,
( spl0_213
<=> pd0_38 ),
introduced(split_symbol_definition) ).
fof(f1283,plain,
( ~ spl0_212
| spl0_213
| spl0_31 ),
inference(split_clause,[status(thm)],[f424,f1274,f1280,f560]) ).
fof(f1285,plain,
( ~ spl0_212
| spl0_213
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f426,f1274,f1280,f560]) ).
fof(f1286,plain,
( spl0_214
<=> pd0_39 ),
introduced(split_symbol_definition) ).
fof(f1289,plain,
( ~ spl0_213
| spl0_214
| spl0_30 ),
inference(split_clause,[status(thm)],[f430,f1280,f1286,f557]) ).
fof(f1290,plain,
( ~ spl0_213
| spl0_214
| spl0_1 ),
inference(split_clause,[status(thm)],[f431,f1280,f1286,f464]) ).
fof(f1292,plain,
( spl0_215
<=> pd0_40 ),
introduced(split_symbol_definition) ).
fof(f1295,plain,
( ~ spl0_214
| spl0_215
| spl0_4 ),
inference(split_clause,[status(thm)],[f436,f1286,f1292,f473]) ).
fof(f1298,plain,
( spl0_216
<=> pd0_41 ),
introduced(split_symbol_definition) ).
fof(f1301,plain,
( ~ spl0_215
| spl0_216
| spl0_3 ),
inference(split_clause,[status(thm)],[f442,f1292,f1298,f470]) ).
fof(f1302,plain,
( ~ spl0_215
| spl0_216
| spl0_90 ),
inference(split_clause,[status(thm)],[f443,f1292,f1298,f749]) ).
fof(f1304,plain,
( spl0_217
<=> pd0_42 ),
introduced(split_symbol_definition) ).
fof(f1308,plain,
( ~ spl0_216
| spl0_217
| spl0_60 ),
inference(split_clause,[status(thm)],[f449,f1298,f1304,f653]) ).
fof(f1310,plain,
( spl0_218
<=> pd0_43 ),
introduced(split_symbol_definition) ).
fof(f1313,plain,
( ~ spl0_217
| spl0_218
| spl0_1 ),
inference(split_clause,[status(thm)],[f454,f1304,f1310,f464]) ).
fof(f1316,plain,
( ~ spl0_218
| spl0_0 ),
inference(split_clause,[status(thm)],[f458,f1310,f461]) ).
fof(f1318,plain,
( ~ spl0_218
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f460,f1310,f461]) ).
fof(f1319,plain,
( e4 = e0
| ~ spl0_60 ),
inference(forward_demodulation,[status(thm)],[f208,f654]) ).
fof(f1320,plain,
( $false
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[status(thm)],[f1319,f198]) ).
fof(f1321,plain,
~ spl0_60,
inference(contradiction_clause,[status(thm)],[f1320]) ).
fof(f1331,plain,
( e3 = e4
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f471,f474]) ).
fof(f1332,plain,
( $false
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f1331,f204]) ).
fof(f1333,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(contradiction_clause,[status(thm)],[f1332]) ).
fof(f1334,plain,
( e4 = e1
| ~ spl0_61 ),
inference(forward_demodulation,[status(thm)],[f208,f657]) ).
fof(f1335,plain,
( $false
| ~ spl0_61 ),
inference(forward_subsumption_resolution,[status(thm)],[f1334,f201]) ).
fof(f1336,plain,
~ spl0_61,
inference(contradiction_clause,[status(thm)],[f1335]) ).
fof(f1346,plain,
( e4 = e3
| ~ spl0_63 ),
inference(forward_demodulation,[status(thm)],[f208,f663]) ).
fof(f1347,plain,
( $false
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[status(thm)],[f1346,f204]) ).
fof(f1348,plain,
~ spl0_63,
inference(contradiction_clause,[status(thm)],[f1347]) ).
fof(f1352,plain,
( e4 = e3
| ~ spl0_74
| ~ spl0_73 ),
inference(forward_demodulation,[status(thm)],[f698,f695]) ).
fof(f1353,plain,
( $false
| ~ spl0_74
| ~ spl0_73 ),
inference(forward_subsumption_resolution,[status(thm)],[f1352,f204]) ).
fof(f1354,plain,
( ~ spl0_74
| ~ spl0_73 ),
inference(contradiction_clause,[status(thm)],[f1353]) ).
fof(f1355,plain,
( e4 = e3
| ~ spl0_49
| ~ spl0_48 ),
inference(forward_demodulation,[status(thm)],[f618,f615]) ).
fof(f1356,plain,
( $false
| ~ spl0_49
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[status(thm)],[f1355,f204]) ).
fof(f1357,plain,
( ~ spl0_49
| ~ spl0_48 ),
inference(contradiction_clause,[status(thm)],[f1356]) ).
fof(f1364,plain,
( e3 = e2
| ~ spl0_118
| ~ spl0_117 ),
inference(forward_demodulation,[status(thm)],[f839,f836]) ).
fof(f1365,plain,
( $false
| ~ spl0_118
| ~ spl0_117 ),
inference(forward_subsumption_resolution,[status(thm)],[f1364,f202]) ).
fof(f1366,plain,
( ~ spl0_118
| ~ spl0_117 ),
inference(contradiction_clause,[status(thm)],[f1365]) ).
fof(f1373,plain,
( e3 = e2
| ~ spl0_103
| ~ spl0_102 ),
inference(forward_demodulation,[status(thm)],[f791,f788]) ).
fof(f1374,plain,
( $false
| ~ spl0_103
| ~ spl0_102 ),
inference(forward_subsumption_resolution,[status(thm)],[f1373,f202]) ).
fof(f1375,plain,
( ~ spl0_103
| ~ spl0_102 ),
inference(contradiction_clause,[status(thm)],[f1374]) ).
fof(f1385,plain,
( e2 = e0
| ~ spl0_47
| ~ spl0_45 ),
inference(forward_demodulation,[status(thm)],[f612,f606]) ).
fof(f1386,plain,
( $false
| ~ spl0_47
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[status(thm)],[f1385,f196]) ).
fof(f1387,plain,
( ~ spl0_47
| ~ spl0_45 ),
inference(contradiction_clause,[status(thm)],[f1386]) ).
fof(f1403,plain,
( e4 = e3
| ~ spl0_44
| ~ spl0_43 ),
inference(forward_demodulation,[status(thm)],[f602,f599]) ).
fof(f1404,plain,
( $false
| ~ spl0_44
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[status(thm)],[f1403,f204]) ).
fof(f1405,plain,
( ~ spl0_44
| ~ spl0_43 ),
inference(contradiction_clause,[status(thm)],[f1404]) ).
fof(f1421,plain,
( e1 = e0
| ~ spl0_66
| ~ spl0_65 ),
inference(forward_demodulation,[status(thm)],[f673,f670]) ).
fof(f1422,plain,
( $false
| ~ spl0_66
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[status(thm)],[f1421,f195]) ).
fof(f1423,plain,
( ~ spl0_66
| ~ spl0_65 ),
inference(contradiction_clause,[status(thm)],[f1422]) ).
fof(f1451,plain,
( e2 = e0
| ~ spl0_37
| ~ spl0_35 ),
inference(forward_demodulation,[status(thm)],[f580,f574]) ).
fof(f1452,plain,
( $false
| ~ spl0_37
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[status(thm)],[f1451,f196]) ).
fof(f1453,plain,
( ~ spl0_37
| ~ spl0_35 ),
inference(contradiction_clause,[status(thm)],[f1452]) ).
fof(f1469,plain,
( e2 = e0
| ~ spl0_27
| ~ spl0_25 ),
inference(forward_demodulation,[status(thm)],[f548,f542]) ).
fof(f1470,plain,
( $false
| ~ spl0_27
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[status(thm)],[f1469,f196]) ).
fof(f1471,plain,
( ~ spl0_27
| ~ spl0_25 ),
inference(contradiction_clause,[status(thm)],[f1470]) ).
fof(f1478,plain,
( e4 = e2
| ~ spl0_62 ),
inference(forward_demodulation,[status(thm)],[f208,f660]) ).
fof(f1479,plain,
( $false
| ~ spl0_62 ),
inference(forward_subsumption_resolution,[status(thm)],[f1478,f203]) ).
fof(f1480,plain,
~ spl0_62,
inference(contradiction_clause,[status(thm)],[f1479]) ).
fof(f1482,plain,
e1 = op(e3,op(e2,e2)),
inference(backward_demodulation,[status(thm)],[f207,f206]) ).
fof(f1483,plain,
e1 = op(e3,e4),
inference(forward_demodulation,[status(thm)],[f208,f1482]) ).
fof(f1484,plain,
e3 = op(e2,e4),
inference(backward_demodulation,[status(thm)],[f208,f207]) ).
fof(f1485,plain,
e0 = op(op(e2,e2),e4),
inference(backward_demodulation,[status(thm)],[f208,f205]) ).
fof(f1486,plain,
e0 = op(e4,e4),
inference(forward_demodulation,[status(thm)],[f208,f1485]) ).
fof(f1487,plain,
( e0 = e4
| ~ spl0_124 ),
inference(forward_demodulation,[status(thm)],[f858,f1486]) ).
fof(f1488,plain,
( $false
| ~ spl0_124 ),
inference(forward_subsumption_resolution,[status(thm)],[f1487,f198]) ).
fof(f1489,plain,
~ spl0_124,
inference(contradiction_clause,[status(thm)],[f1488]) ).
fof(f1493,plain,
op(e2,e1) != e4,
inference(backward_demodulation,[status(thm)],[f208,f169]) ).
fof(f1497,plain,
e4 != op(e4,e2),
inference(backward_demodulation,[status(thm)],[f208,f123]) ).
fof(f1498,plain,
e4 != op(e3,e2),
inference(backward_demodulation,[status(thm)],[f208,f122]) ).
fof(f1500,plain,
op(e0,e2) != e4,
inference(backward_demodulation,[status(thm)],[f208,f116]) ).
fof(f1505,plain,
( e0 != op(e0,e2)
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f462,f146]) ).
fof(f1506,plain,
( e0 != e0
| ~ spl0_10
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f494,f1505]) ).
fof(f1507,plain,
( $false
| ~ spl0_10
| ~ spl0_0 ),
inference(trivial_equality_resolution,[status(esa)],[f1506]) ).
fof(f1508,plain,
( ~ spl0_10
| ~ spl0_0 ),
inference(contradiction_clause,[status(thm)],[f1507]) ).
fof(f1517,plain,
( op(e1,e3) != e3
| ~ spl0_93 ),
inference(forward_demodulation,[status(thm)],[f759,f130]) ).
fof(f1523,plain,
( e1 != op(e1,e3)
| ~ spl0_31 ),
inference(forward_demodulation,[status(thm)],[f561,f160]) ).
fof(f1524,plain,
( e1 != op(e1,e2)
| ~ spl0_31 ),
inference(forward_demodulation,[status(thm)],[f561,f159]) ).
fof(f1525,plain,
( e1 != e1
| ~ spl0_36
| ~ spl0_31 ),
inference(forward_demodulation,[status(thm)],[f577,f1524]) ).
fof(f1526,plain,
( $false
| ~ spl0_36
| ~ spl0_31 ),
inference(trivial_equality_resolution,[status(esa)],[f1525]) ).
fof(f1527,plain,
( ~ spl0_36
| ~ spl0_31 ),
inference(contradiction_clause,[status(thm)],[f1526]) ).
fof(f1533,plain,
( op(e0,e1) != e1
| ~ spl0_31 ),
inference(forward_demodulation,[status(thm)],[f561,f105]) ).
fof(f1553,plain,
( op(e2,e4) != e3
| ~ spl0_123 ),
inference(backward_demodulation,[status(thm)],[f855,f143]) ).
fof(f1554,plain,
( e3 != e3
| ~ spl0_123 ),
inference(forward_demodulation,[status(thm)],[f1484,f1553]) ).
fof(f1555,plain,
( $false
| ~ spl0_123 ),
inference(trivial_equality_resolution,[status(esa)],[f1554]) ).
fof(f1556,plain,
~ spl0_123,
inference(contradiction_clause,[status(thm)],[f1555]) ).
fof(f1576,plain,
( e1 = e2
| ~ spl0_97 ),
inference(forward_demodulation,[status(thm)],[f1483,f772]) ).
fof(f1577,plain,
( $false
| ~ spl0_97 ),
inference(forward_subsumption_resolution,[status(thm)],[f1576,f199]) ).
fof(f1578,plain,
~ spl0_97,
inference(contradiction_clause,[status(thm)],[f1577]) ).
fof(f1582,plain,
op(e3,e1) != e1,
inference(forward_demodulation,[status(thm)],[f1483,f181]) ).
fof(f1587,plain,
op(e1,e4) != e1,
inference(forward_demodulation,[status(thm)],[f1483,f140]) ).
fof(f1588,plain,
op(e0,e4) != e1,
inference(forward_demodulation,[status(thm)],[f1483,f137]) ).
fof(f1608,plain,
( e4 = e2
| ~ spl0_104
| ~ spl0_102 ),
inference(forward_demodulation,[status(thm)],[f794,f788]) ).
fof(f1609,plain,
( $false
| ~ spl0_104
| ~ spl0_102 ),
inference(forward_subsumption_resolution,[status(thm)],[f1608,f203]) ).
fof(f1610,plain,
( ~ spl0_104
| ~ spl0_102 ),
inference(contradiction_clause,[status(thm)],[f1609]) ).
fof(f1613,plain,
( $false
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[status(thm)],[f529,f1588]) ).
fof(f1614,plain,
~ spl0_21,
inference(contradiction_clause,[status(thm)],[f1613]) ).
fof(f1615,plain,
( e1 = e0
| ~ spl0_95 ),
inference(forward_demodulation,[status(thm)],[f1483,f766]) ).
fof(f1616,plain,
( $false
| ~ spl0_95 ),
inference(forward_subsumption_resolution,[status(thm)],[f1615,f195]) ).
fof(f1617,plain,
~ spl0_95,
inference(contradiction_clause,[status(thm)],[f1616]) ).
fof(f1618,plain,
( e3 = e0
| ~ spl0_70 ),
inference(forward_demodulation,[status(thm)],[f1484,f686]) ).
fof(f1619,plain,
( $false
| ~ spl0_70 ),
inference(forward_subsumption_resolution,[status(thm)],[f1618,f197]) ).
fof(f1620,plain,
~ spl0_70,
inference(contradiction_clause,[status(thm)],[f1619]) ).
fof(f1672,plain,
( e3 = e0
| ~ spl0_28
| ~ spl0_25 ),
inference(forward_demodulation,[status(thm)],[f551,f542]) ).
fof(f1673,plain,
( $false
| ~ spl0_28
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[status(thm)],[f1672,f197]) ).
fof(f1674,plain,
( ~ spl0_28
| ~ spl0_25 ),
inference(contradiction_clause,[status(thm)],[f1673]) ).
fof(f1675,plain,
( op(e4,e0) = e4
| ~ spl0_125 ),
inference(forward_demodulation,[status(thm)],[f862,f43]) ).
fof(f1679,plain,
( op(e0,e4) = e4
| ~ spl0_125 ),
inference(forward_demodulation,[status(thm)],[f862,f42]) ).
fof(f1680,plain,
( $false
| spl0_24
| ~ spl0_125 ),
inference(forward_subsumption_resolution,[status(thm)],[f1679,f539]) ).
fof(f1681,plain,
( spl0_24
| ~ spl0_125 ),
inference(contradiction_clause,[status(thm)],[f1680]) ).
fof(f1689,plain,
( op(e4,e1) = e3
| ~ spl0_158 ),
inference(backward_demodulation,[status(thm)],[f1483,f1034]) ).
fof(f1690,plain,
( spl0_108
| ~ spl0_158 ),
inference(split_clause,[status(thm)],[f1689,f806,f1033]) ).
fof(f1691,plain,
( op(e4,e3) = e2
| ~ spl0_173 ),
inference(backward_demodulation,[status(thm)],[f1484,f1092]) ).
fof(f1692,plain,
( spl0_117
| ~ spl0_173 ),
inference(split_clause,[status(thm)],[f1691,f835,f1091]) ).
fof(f1701,plain,
( e1 != op(e2,e0)
| ~ spl0_1 ),
inference(backward_demodulation,[status(thm)],[f465,f96]) ).
fof(f1719,plain,
( e1 != op(e3,e4)
| ~ spl0_91 ),
inference(forward_demodulation,[status(thm)],[f753,f184]) ).
fof(f1720,plain,
( e1 != e1
| ~ spl0_91 ),
inference(forward_demodulation,[status(thm)],[f1483,f1719]) ).
fof(f1721,plain,
( $false
| ~ spl0_91 ),
inference(trivial_equality_resolution,[status(esa)],[f1720]) ).
fof(f1722,plain,
~ spl0_91,
inference(contradiction_clause,[status(thm)],[f1721]) ).
fof(f1723,plain,
( e1 = e3
| ~ spl0_98 ),
inference(forward_demodulation,[status(thm)],[f1483,f775]) ).
fof(f1724,plain,
( $false
| ~ spl0_98 ),
inference(forward_subsumption_resolution,[status(thm)],[f1723,f200]) ).
fof(f1725,plain,
~ spl0_98,
inference(contradiction_clause,[status(thm)],[f1724]) ).
fof(f1726,plain,
( e0 = e2
| ~ spl0_122 ),
inference(forward_demodulation,[status(thm)],[f1486,f852]) ).
fof(f1727,plain,
( $false
| ~ spl0_122 ),
inference(forward_subsumption_resolution,[status(thm)],[f1726,f196]) ).
fof(f1728,plain,
~ spl0_122,
inference(contradiction_clause,[status(thm)],[f1727]) ).
fof(f1736,plain,
( ~ spl0_43
| ~ spl0_93 ),
inference(split_clause,[status(thm)],[f1517,f598,f758]) ).
fof(f1742,plain,
op(e0,e4) != e3,
inference(forward_demodulation,[status(thm)],[f1484,f136]) ).
fof(f1753,plain,
( e1 = e4
| ~ spl0_99 ),
inference(forward_demodulation,[status(thm)],[f1483,f778]) ).
fof(f1754,plain,
( $false
| ~ spl0_99 ),
inference(forward_subsumption_resolution,[status(thm)],[f1753,f201]) ).
fof(f1755,plain,
~ spl0_99,
inference(contradiction_clause,[status(thm)],[f1754]) ).
fof(f1759,plain,
op(e4,e1) != e0,
inference(forward_demodulation,[status(thm)],[f1486,f191]) ).
fof(f1765,plain,
op(e4,e0) != e0,
inference(forward_demodulation,[status(thm)],[f1486,f188]) ).
fof(f1768,plain,
( e3 = e1
| ~ spl0_71 ),
inference(forward_demodulation,[status(thm)],[f1484,f689]) ).
fof(f1769,plain,
( $false
| ~ spl0_71 ),
inference(forward_subsumption_resolution,[status(thm)],[f1768,f200]) ).
fof(f1770,plain,
~ spl0_71,
inference(contradiction_clause,[status(thm)],[f1769]) ).
fof(f1772,plain,
op(e3,e2) != e1,
inference(forward_demodulation,[status(thm)],[f1483,f183]) ).
fof(f1782,plain,
( op(e0,e2) != e2
| ~ spl0_22 ),
inference(forward_demodulation,[status(thm)],[f532,f153]) ).
fof(f1788,plain,
( $false
| ~ spl0_100 ),
inference(forward_subsumption_resolution,[status(thm)],[f782,f1765]) ).
fof(f1789,plain,
~ spl0_100,
inference(contradiction_clause,[status(thm)],[f1788]) ).
fof(f1798,plain,
( op(e2,e4) = e2
| ~ spl0_129 ),
inference(backward_demodulation,[status(thm)],[f874,f39]) ).
fof(f1799,plain,
( e3 = e2
| ~ spl0_129 ),
inference(forward_demodulation,[status(thm)],[f1484,f1798]) ).
fof(f1800,plain,
( $false
| ~ spl0_129 ),
inference(forward_subsumption_resolution,[status(thm)],[f1799,f202]) ).
fof(f1801,plain,
~ spl0_129,
inference(contradiction_clause,[status(thm)],[f1800]) ).
fof(f1804,plain,
op(e4,e2) != e0,
inference(backward_demodulation,[status(thm)],[f1486,f193]) ).
fof(f1828,plain,
( e0 != op(e2,e3)
| ~ spl0_40 ),
inference(forward_demodulation,[status(thm)],[f590,f129]) ).
fof(f1832,plain,
( op(e4,e0) = e4
| ~ spl0_143 ),
inference(forward_demodulation,[status(thm)],[f1486,f975]) ).
fof(f1833,plain,
( $false
| spl0_104
| ~ spl0_143 ),
inference(forward_subsumption_resolution,[status(thm)],[f1832,f795]) ).
fof(f1834,plain,
( spl0_104
| ~ spl0_143 ),
inference(contradiction_clause,[status(thm)],[f1833]) ).
fof(f1839,plain,
( ~ spl0_51
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f1701,f624,f464]) ).
fof(f1845,plain,
( e0 = e1
| ~ spl0_121 ),
inference(forward_demodulation,[status(thm)],[f1486,f849]) ).
fof(f1846,plain,
( $false
| ~ spl0_121 ),
inference(forward_subsumption_resolution,[status(thm)],[f1845,f195]) ).
fof(f1847,plain,
~ spl0_121,
inference(contradiction_clause,[status(thm)],[f1846]) ).
fof(f1859,plain,
( $false
| ~ spl0_22
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f500,f1782]) ).
fof(f1860,plain,
( ~ spl0_22
| ~ spl0_12 ),
inference(contradiction_clause,[status(thm)],[f1859]) ).
fof(f1861,plain,
( $false
| ~ spl0_114 ),
inference(forward_subsumption_resolution,[status(thm)],[f826,f1497]) ).
fof(f1862,plain,
~ spl0_114,
inference(contradiction_clause,[status(thm)],[f1861]) ).
fof(f1867,plain,
( e1 = e0
| ~ spl0_1
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f465,f462]) ).
fof(f1868,plain,
( $false
| ~ spl0_1
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f1867,f195]) ).
fof(f1869,plain,
( ~ spl0_1
| ~ spl0_0 ),
inference(contradiction_clause,[status(thm)],[f1868]) ).
fof(f1871,plain,
( e3 = e2
| ~ spl0_72 ),
inference(forward_demodulation,[status(thm)],[f1484,f692]) ).
fof(f1872,plain,
( $false
| ~ spl0_72 ),
inference(forward_subsumption_resolution,[status(thm)],[f1871,f202]) ).
fof(f1873,plain,
~ spl0_72,
inference(contradiction_clause,[status(thm)],[f1872]) ).
fof(f1880,plain,
( op(e1,e0) != e2
| ~ spl0_47 ),
inference(forward_demodulation,[status(thm)],[f612,f158]) ).
fof(f1881,plain,
( op(e1,e2) != e2
| ~ spl0_47 ),
inference(forward_demodulation,[status(thm)],[f612,f163]) ).
fof(f1882,plain,
( op(e1,e3) != e2
| ~ spl0_47 ),
inference(forward_demodulation,[status(thm)],[f612,f164]) ).
fof(f1897,plain,
( op(e4,e2) = e0
| ~ spl0_22
| ~ spl0_198 ),
inference(backward_demodulation,[status(thm)],[f532,f1193]) ).
fof(f1908,plain,
( op(e0,e1) != e2
| ~ spl0_22 ),
inference(backward_demodulation,[status(thm)],[f532,f151]) ).
fof(f1909,plain,
( ~ spl0_7
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f1908,f483,f531]) ).
fof(f1910,plain,
( op(e0,e3) != e2
| ~ spl0_22 ),
inference(backward_demodulation,[status(thm)],[f532,f154]) ).
fof(f1911,plain,
( ~ spl0_17
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f1910,f515,f531]) ).
fof(f1914,plain,
( op(e0,e4) != e4
| ~ spl0_24
| spl0_197 ),
inference(backward_demodulation,[status(thm)],[f538,f1190]) ).
fof(f1915,plain,
( ~ spl0_24
| spl0_197 ),
inference(split_clause,[status(thm)],[f1914,f537,f1188]) ).
fof(f1916,plain,
( op(e0,e3) != e4
| ~ spl0_24 ),
inference(backward_demodulation,[status(thm)],[f538,f154]) ).
fof(f1917,plain,
( ~ spl0_19
| ~ spl0_24 ),
inference(split_clause,[status(thm)],[f1916,f521,f537]) ).
fof(f1920,plain,
( op(e0,e1) != e4
| ~ spl0_24 ),
inference(backward_demodulation,[status(thm)],[f538,f151]) ).
fof(f1922,plain,
( e2 = e4
| ~ spl0_22
| ~ spl0_24 ),
inference(forward_demodulation,[status(thm)],[f532,f538]) ).
fof(f1923,plain,
( $false
| ~ spl0_22
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[status(thm)],[f1922,f203]) ).
fof(f1924,plain,
( ~ spl0_22
| ~ spl0_24 ),
inference(contradiction_clause,[status(thm)],[f1923]) ).
fof(f1967,plain,
op(e2,e0) != e3,
inference(forward_demodulation,[status(thm)],[f1484,f168]) ).
fof(f1968,plain,
( e3 != e3
| ~ spl0_53 ),
inference(forward_demodulation,[status(thm)],[f631,f1967]) ).
fof(f1969,plain,
( $false
| ~ spl0_53 ),
inference(trivial_equality_resolution,[status(esa)],[f1968]) ).
fof(f1970,plain,
~ spl0_53,
inference(contradiction_clause,[status(thm)],[f1969]) ).
fof(f2010,plain,
( e3 != op(e1,e3)
| ~ spl0_38 ),
inference(backward_demodulation,[status(thm)],[f583,f162]) ).
fof(f2029,plain,
( e4 = e3
| ~ spl0_109
| ~ spl0_108 ),
inference(forward_demodulation,[status(thm)],[f810,f807]) ).
fof(f2030,plain,
( $false
| ~ spl0_109
| ~ spl0_108 ),
inference(forward_subsumption_resolution,[status(thm)],[f2029,f204]) ).
fof(f2031,plain,
( ~ spl0_109
| ~ spl0_108 ),
inference(contradiction_clause,[status(thm)],[f2030]) ).
fof(f2053,plain,
( op(e4,e1) != e4
| ~ spl0_119 ),
inference(backward_demodulation,[status(thm)],[f842,f190]) ).
fof(f2068,plain,
( e1 != e1
| ~ spl0_46 ),
inference(forward_demodulation,[status(thm)],[f609,f1587]) ).
fof(f2069,plain,
( $false
| ~ spl0_46 ),
inference(trivial_equality_resolution,[status(esa)],[f2068]) ).
fof(f2070,plain,
~ spl0_46,
inference(contradiction_clause,[status(thm)],[f2069]) ).
fof(f2090,plain,
( e4 != op(e0,e3)
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f474,f147]) ).
fof(f2093,plain,
( e4 != op(e0,e4)
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f474,f148]) ).
fof(f2094,plain,
( e4 = e2
| ~ spl0_4
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f474,f468]) ).
fof(f2095,plain,
( $false
| ~ spl0_4
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f2094,f203]) ).
fof(f2096,plain,
( ~ spl0_4
| ~ spl0_2 ),
inference(contradiction_clause,[status(thm)],[f2095]) ).
fof(f2099,plain,
( e0 != op(e3,e1)
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f478,f107]) ).
fof(f2102,plain,
( e0 = e1
| ~ spl0_25
| ~ spl0_26 ),
inference(forward_demodulation,[status(thm)],[f542,f545]) ).
fof(f2103,plain,
( $false
| ~ spl0_25
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[status(thm)],[f2102,f195]) ).
fof(f2104,plain,
( ~ spl0_25
| ~ spl0_26 ),
inference(contradiction_clause,[status(thm)],[f2103]) ).
fof(f2132,plain,
( op(e1,e2) != e2
| ~ spl0_112 ),
inference(backward_demodulation,[status(thm)],[f820,f121]) ).
fof(f2133,plain,
( ~ spl0_37
| ~ spl0_112 ),
inference(split_clause,[status(thm)],[f2132,f579,f819]) ).
fof(f2154,plain,
( ~ spl0_109
| ~ spl0_119 ),
inference(split_clause,[status(thm)],[f2053,f809,f841]) ).
fof(f2159,plain,
( op(e1,e4) != e4
| ~ spl0_49
| spl0_187 ),
inference(backward_demodulation,[status(thm)],[f618,f1147]) ).
fof(f2160,plain,
( ~ spl0_49
| spl0_187 ),
inference(split_clause,[status(thm)],[f2159,f617,f1145]) ).
fof(f2162,plain,
( op(e1,e2) != e4
| ~ spl0_49 ),
inference(backward_demodulation,[status(thm)],[f618,f163]) ).
fof(f2169,plain,
( op(e0,e3) = e4
| ~ spl0_103
| ~ spl0_132 ),
inference(backward_demodulation,[status(thm)],[f791,f935]) ).
fof(f2170,plain,
( spl0_19
| ~ spl0_103
| ~ spl0_132 ),
inference(split_clause,[status(thm)],[f2169,f521,f790,f934]) ).
fof(f2202,plain,
( e0 = e4
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f478,f490]) ).
fof(f2203,plain,
( $false
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f2202,f198]) ).
fof(f2204,plain,
( ~ spl0_5
| ~ spl0_9 ),
inference(contradiction_clause,[status(thm)],[f2203]) ).
fof(f2205,plain,
( e3 != op(e4,e2)
| ~ spl0_13 ),
inference(backward_demodulation,[status(thm)],[f503,f118]) ).
fof(f2206,plain,
( ~ spl0_113
| ~ spl0_13 ),
inference(split_clause,[status(thm)],[f2205,f822,f502]) ).
fof(f2213,plain,
( ~ spl0_27
| ~ spl0_47 ),
inference(split_clause,[status(thm)],[f1880,f547,f611]) ).
fof(f2214,plain,
( ~ spl0_37
| ~ spl0_47 ),
inference(split_clause,[status(thm)],[f1881,f579,f611]) ).
fof(f2231,plain,
( e0 != op(e0,e2)
| ~ spl0_5 ),
inference(backward_demodulation,[status(thm)],[f478,f149]) ).
fof(f2234,plain,
( e0 != op(e0,e3)
| ~ spl0_5 ),
inference(backward_demodulation,[status(thm)],[f478,f150]) ).
fof(f2235,plain,
( ~ spl0_15
| ~ spl0_5 ),
inference(split_clause,[status(thm)],[f2234,f509,f477]) ).
fof(f2238,plain,
( e0 != op(e1,e1)
| ~ spl0_5 ),
inference(backward_demodulation,[status(thm)],[f478,f105]) ).
fof(f2239,plain,
( ~ spl0_30
| ~ spl0_5 ),
inference(split_clause,[status(thm)],[f2238,f557,f477]) ).
fof(f2240,plain,
( e0 != op(e2,e1)
| ~ spl0_5 ),
inference(backward_demodulation,[status(thm)],[f478,f106]) ).
fof(f2241,plain,
( ~ spl0_55
| ~ spl0_5 ),
inference(split_clause,[status(thm)],[f2240,f637,f477]) ).
fof(f2262,plain,
( $false
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[status(thm)],[f650,f1493]) ).
fof(f2263,plain,
~ spl0_59,
inference(contradiction_clause,[status(thm)],[f2262]) ).
fof(f2310,plain,
( ~ spl0_43
| ~ spl0_38 ),
inference(split_clause,[status(thm)],[f2010,f598,f582]) ).
fof(f2313,plain,
( e4 != op(e1,e4)
| ~ spl0_34 ),
inference(backward_demodulation,[status(thm)],[f570,f161]) ).
fof(f2314,plain,
( ~ spl0_49
| ~ spl0_34 ),
inference(split_clause,[status(thm)],[f2313,f617,f569]) ).
fof(f2317,plain,
( $false
| ~ spl0_81 ),
inference(forward_subsumption_resolution,[status(thm)],[f721,f1582]) ).
fof(f2318,plain,
~ spl0_81,
inference(contradiction_clause,[status(thm)],[f2317]) ).
fof(f2354,plain,
( op(e1,e4) = e4
| ~ spl0_126 ),
inference(backward_demodulation,[status(thm)],[f865,f42]) ).
fof(f2355,plain,
( spl0_49
| ~ spl0_126 ),
inference(split_clause,[status(thm)],[f2354,f617,f864]) ).
fof(f2356,plain,
( op(e4,e1) = e4
| ~ spl0_126 ),
inference(backward_demodulation,[status(thm)],[f865,f43]) ).
fof(f2357,plain,
( spl0_109
| ~ spl0_126 ),
inference(split_clause,[status(thm)],[f2356,f809,f864]) ).
fof(f2358,plain,
( op(e1,e0) = e0
| ~ spl0_126 ),
inference(backward_demodulation,[status(thm)],[f865,f34]) ).
fof(f2359,plain,
( spl0_25
| ~ spl0_126 ),
inference(split_clause,[status(thm)],[f2358,f541,f864]) ).
fof(f2360,plain,
( op(e0,e1) = e0
| ~ spl0_126 ),
inference(backward_demodulation,[status(thm)],[f865,f35]) ).
fof(f2361,plain,
( spl0_5
| ~ spl0_126 ),
inference(split_clause,[status(thm)],[f2360,f477,f864]) ).
fof(f2362,plain,
( op(e1,e1) = e1
| ~ spl0_126 ),
inference(backward_demodulation,[status(thm)],[f865,f36]) ).
fof(f2363,plain,
( spl0_31
| ~ spl0_126 ),
inference(split_clause,[status(thm)],[f2362,f560,f864]) ).
fof(f2366,plain,
( op(e1,e2) = e2
| ~ spl0_126 ),
inference(backward_demodulation,[status(thm)],[f865,f38]) ).
fof(f2367,plain,
( spl0_37
| ~ spl0_126 ),
inference(split_clause,[status(thm)],[f2366,f579,f864]) ).
fof(f2369,plain,
( op(e1,e3) = e3
| ~ spl0_126 ),
inference(backward_demodulation,[status(thm)],[f865,f40]) ).
fof(f2370,plain,
( spl0_43
| ~ spl0_126 ),
inference(split_clause,[status(thm)],[f2369,f598,f864]) ).
fof(f2382,plain,
( ~ spl0_65
| ~ spl0_40 ),
inference(split_clause,[status(thm)],[f1828,f669,f589]) ).
fof(f2386,plain,
( $false
| ~ spl0_105 ),
inference(forward_subsumption_resolution,[status(thm)],[f798,f1759]) ).
fof(f2387,plain,
~ spl0_105,
inference(contradiction_clause,[status(thm)],[f2386]) ).
fof(f2391,plain,
( op(e1,e1) != e1
| ~ spl0_56 ),
inference(backward_demodulation,[status(thm)],[f641,f109]) ).
fof(f2432,plain,
( op(e3,e1) = e1
| ~ spl0_128 ),
inference(backward_demodulation,[status(thm)],[f871,f36]) ).
fof(f2433,plain,
( spl0_81
| ~ spl0_128 ),
inference(split_clause,[status(thm)],[f2432,f720,f870]) ).
fof(f2470,plain,
( ~ spl0_39
| ~ spl0_49 ),
inference(split_clause,[status(thm)],[f2162,f585,f617]) ).
fof(f2484,plain,
( $false
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[status(thm)],[f535,f1742]) ).
fof(f2485,plain,
~ spl0_23,
inference(contradiction_clause,[status(thm)],[f2484]) ).
fof(f2498,plain,
( e0 != op(e2,e0)
| ~ spl0_25 ),
inference(backward_demodulation,[status(thm)],[f542,f99]) ).
fof(f2501,plain,
( op(e1,e0) != e0
| ~ spl0_25
| spl0_176 ),
inference(backward_demodulation,[status(thm)],[f542,f1106]) ).
fof(f2502,plain,
( ~ spl0_25
| spl0_176 ),
inference(split_clause,[status(thm)],[f2501,f541,f1104]) ).
fof(f2503,plain,
( e0 != op(e3,e0)
| ~ spl0_25 ),
inference(backward_demodulation,[status(thm)],[f542,f100]) ).
fof(f2504,plain,
( ~ spl0_75
| ~ spl0_25 ),
inference(split_clause,[status(thm)],[f2503,f701,f541]) ).
fof(f2507,plain,
( ~ spl0_31
| ~ spl0_56 ),
inference(split_clause,[status(thm)],[f2391,f560,f640]) ).
fof(f2519,plain,
( e1 != e1
| ~ spl0_86 ),
inference(forward_demodulation,[status(thm)],[f737,f1772]) ).
fof(f2520,plain,
( $false
| ~ spl0_86 ),
inference(trivial_equality_resolution,[status(esa)],[f2519]) ).
fof(f2521,plain,
~ spl0_86,
inference(contradiction_clause,[status(thm)],[f2520]) ).
fof(f2522,plain,
( $false
| ~ spl0_22
| ~ spl0_198 ),
inference(forward_subsumption_resolution,[status(thm)],[f1897,f1804]) ).
fof(f2523,plain,
( ~ spl0_22
| ~ spl0_198 ),
inference(contradiction_clause,[status(thm)],[f2522]) ).
fof(f2532,plain,
( op(e3,e1) != e4
| ~ spl0_109 ),
inference(forward_demodulation,[status(thm)],[f810,f114]) ).
fof(f2585,plain,
( ~ spl0_24
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f2093,f537,f473]) ).
fof(f2586,plain,
( ~ spl0_42
| ~ spl0_47 ),
inference(split_clause,[status(thm)],[f1882,f595,f611]) ).
fof(f2587,plain,
( e2 = e3
| ~ spl0_47
| ~ spl0_48 ),
inference(forward_demodulation,[status(thm)],[f612,f615]) ).
fof(f2588,plain,
( $false
| ~ spl0_47
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[status(thm)],[f2587,f202]) ).
fof(f2589,plain,
( ~ spl0_47
| ~ spl0_48 ),
inference(contradiction_clause,[status(thm)],[f2588]) ).
fof(f2593,plain,
( ~ spl0_19
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f2090,f521,f473]) ).
fof(f2601,plain,
( ~ spl0_80
| ~ spl0_5 ),
inference(split_clause,[status(thm)],[f2099,f717,f477]) ).
fof(f2602,plain,
( ~ spl0_10
| ~ spl0_5 ),
inference(split_clause,[status(thm)],[f2231,f493,f477]) ).
fof(f2609,plain,
( e2 = e1
| ~ spl0_32
| ~ spl0_31 ),
inference(forward_demodulation,[status(thm)],[f564,f561]) ).
fof(f2610,plain,
( $false
| ~ spl0_32
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[status(thm)],[f2609,f199]) ).
fof(f2611,plain,
( ~ spl0_32
| ~ spl0_31 ),
inference(contradiction_clause,[status(thm)],[f2610]) ).
fof(f2618,plain,
( e1 = e2
| ~ spl0_51
| ~ spl0_52 ),
inference(forward_demodulation,[status(thm)],[f625,f628]) ).
fof(f2619,plain,
( $false
| ~ spl0_51
| ~ spl0_52 ),
inference(forward_subsumption_resolution,[status(thm)],[f2618,f199]) ).
fof(f2620,plain,
( ~ spl0_51
| ~ spl0_52 ),
inference(contradiction_clause,[status(thm)],[f2619]) ).
fof(f2689,plain,
( op(e0,e0) != e4
| ~ spl0_104 ),
inference(backward_demodulation,[status(thm)],[f794,f98]) ).
fof(f2690,plain,
( ~ spl0_4
| ~ spl0_104 ),
inference(split_clause,[status(thm)],[f2689,f473,f793]) ).
fof(f2700,plain,
( op(e2,e2) = e2
| ~ spl0_127 ),
inference(backward_demodulation,[status(thm)],[f868,f39]) ).
fof(f2701,plain,
( spl0_62
| ~ spl0_127 ),
inference(split_clause,[status(thm)],[f2700,f659,f867]) ).
fof(f2729,plain,
( $false
| ~ spl0_89 ),
inference(forward_subsumption_resolution,[status(thm)],[f746,f1498]) ).
fof(f2730,plain,
~ spl0_89,
inference(contradiction_clause,[status(thm)],[f2729]) ).
fof(f2745,plain,
( op(e4,e0) != e4
| spl0_143 ),
inference(forward_demodulation,[status(thm)],[f1486,f976]) ).
fof(f2751,plain,
( ~ spl0_84
| ~ spl0_109 ),
inference(split_clause,[status(thm)],[f2532,f729,f809]) ).
fof(f2764,plain,
( $false
| spl0_143
| ~ spl0_125 ),
inference(forward_subsumption_resolution,[status(thm)],[f1675,f2745]) ).
fof(f2765,plain,
( spl0_143
| ~ spl0_125 ),
inference(contradiction_clause,[status(thm)],[f2764]) ).
fof(f2766,plain,
( ~ spl0_9
| ~ spl0_24 ),
inference(split_clause,[status(thm)],[f1920,f489,f537]) ).
fof(f2784,plain,
( op(e0,e0) = e0
| ~ spl0_125 ),
inference(forward_demodulation,[status(thm)],[f862,f34]) ).
fof(f2787,plain,
( e0 = e3
| ~ spl0_125
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f2784,f471]) ).
fof(f2788,plain,
( $false
| ~ spl0_125
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f2787,f197]) ).
fof(f2789,plain,
( ~ spl0_125
| ~ spl0_3 ),
inference(contradiction_clause,[status(thm)],[f2788]) ).
fof(f2810,plain,
( e0 != e0
| ~ spl0_125
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f2784,f463]) ).
fof(f2811,plain,
( $false
| ~ spl0_125
| spl0_0 ),
inference(trivial_equality_resolution,[status(esa)],[f2810]) ).
fof(f2812,plain,
( ~ spl0_125
| spl0_0 ),
inference(contradiction_clause,[status(thm)],[f2811]) ).
fof(f2825,plain,
( ~ spl0_41
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f1523,f592,f560]) ).
fof(f2827,plain,
( ~ spl0_6
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f1533,f480,f560]) ).
fof(f2933,plain,
( op(e1,e3) = e3
| ~ spl0_126 ),
inference(backward_demodulation,[status(thm)],[f865,f40]) ).
fof(f2957,plain,
( e2 != op(e3,e2)
| ~ spl0_37 ),
inference(backward_demodulation,[status(thm)],[f580,f120]) ).
fof(f2958,plain,
( ~ spl0_87
| ~ spl0_37 ),
inference(split_clause,[status(thm)],[f2957,f739,f579]) ).
fof(f3033,plain,
( op(e3,e2) != e0
| ~ spl0_90 ),
inference(backward_demodulation,[status(thm)],[f750,f182]) ).
fof(f3034,plain,
( ~ spl0_85
| ~ spl0_90 ),
inference(split_clause,[status(thm)],[f3033,f733,f749]) ).
fof(f3063,plain,
( ~ spl0_50
| ~ spl0_25 ),
inference(split_clause,[status(thm)],[f2498,f621,f541]) ).
fof(f3099,plain,
( op(e4,e2) != e0
| ~ spl0_22
| spl0_198 ),
inference(backward_demodulation,[status(thm)],[f532,f1194]) ).
fof(f3100,plain,
( ~ spl0_110
| ~ spl0_22
| spl0_198 ),
inference(split_clause,[status(thm)],[f3099,f813,f531,f1192]) ).
fof(f3136,plain,
( op(e2,e0) = e3
| ~ spl0_85
| ~ spl0_153 ),
inference(backward_demodulation,[status(thm)],[f734,f1015]) ).
fof(f3137,plain,
( spl0_53
| ~ spl0_85
| ~ spl0_153 ),
inference(split_clause,[status(thm)],[f3136,f630,f733,f1014]) ).
fof(f3144,plain,
( op(e0,e3) != e3
| ~ spl0_126 ),
inference(forward_demodulation,[status(thm)],[f2933,f125]) ).
fof(f3202,plain,
( $false
| ~ spl0_126
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[status(thm)],[f519,f3144]) ).
fof(f3203,plain,
( ~ spl0_126
| ~ spl0_18 ),
inference(contradiction_clause,[status(thm)],[f3202]) ).
fof(f3249,plain,
( op(e0,e1) = e2
| ~ spl0_51
| ~ spl0_162 ),
inference(forward_demodulation,[status(thm)],[f625,f1051]) ).
fof(f3250,plain,
( e0 = e2
| ~ spl0_5
| ~ spl0_51
| ~ spl0_162 ),
inference(forward_demodulation,[status(thm)],[f478,f3249]) ).
fof(f3251,plain,
( $false
| ~ spl0_5
| ~ spl0_51
| ~ spl0_162 ),
inference(forward_subsumption_resolution,[status(thm)],[f3250,f196]) ).
fof(f3252,plain,
( ~ spl0_5
| ~ spl0_51
| ~ spl0_162 ),
inference(contradiction_clause,[status(thm)],[f3251]) ).
fof(f3314,plain,
( op(e3,e2) != e0
| ~ spl0_77
| spl0_146 ),
inference(forward_demodulation,[status(thm)],[f708,f990]) ).
fof(f3315,plain,
( e0 != e0
| ~ spl0_85
| ~ spl0_77
| spl0_146 ),
inference(forward_demodulation,[status(thm)],[f734,f3314]) ).
fof(f3316,plain,
( $false
| ~ spl0_85
| ~ spl0_77
| spl0_146 ),
inference(trivial_equality_resolution,[status(esa)],[f3315]) ).
fof(f3317,plain,
( ~ spl0_85
| ~ spl0_77
| spl0_146 ),
inference(contradiction_clause,[status(thm)],[f3316]) ).
fof(f3336,plain,
( e4 = e1
| ~ spl0_109
| ~ spl0_106 ),
inference(forward_demodulation,[status(thm)],[f810,f801]) ).
fof(f3337,plain,
( $false
| ~ spl0_109
| ~ spl0_106 ),
inference(forward_subsumption_resolution,[status(thm)],[f3336,f201]) ).
fof(f3338,plain,
( ~ spl0_109
| ~ spl0_106 ),
inference(contradiction_clause,[status(thm)],[f3337]) ).
fof(f3343,plain,
( e4 != e4
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f506,f1500]) ).
fof(f3344,plain,
( $false
| ~ spl0_14 ),
inference(trivial_equality_resolution,[status(esa)],[f3343]) ).
fof(f3345,plain,
~ spl0_14,
inference(contradiction_clause,[status(thm)],[f3344]) ).
fof(f3362,plain,
( e0 = e3
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f478,f487]) ).
fof(f3363,plain,
( $false
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f3362,f197]) ).
fof(f3364,plain,
( ~ spl0_5
| ~ spl0_8 ),
inference(contradiction_clause,[status(thm)],[f3363]) ).
fof(f3365,plain,
$false,
inference(sat_refutation,[status(thm)],[f668,f780,f860,f876,f882,f883,f885,f897,f898,f899,f922,f923,f924,f937,f977,f978,f982,f991,f1036,f1040,f1053,f1094,f1098,f1107,f1148,f1156,f1162,f1163,f1191,f1195,f1200,f1206,f1211,f1213,f1218,f1223,f1229,f1230,f1236,f1241,f1247,f1253,f1259,f1265,f1266,f1272,f1277,f1278,f1283,f1285,f1289,f1290,f1295,f1301,f1302,f1308,f1313,f1316,f1318,f1321,f1333,f1336,f1348,f1354,f1357,f1366,f1375,f1387,f1405,f1423,f1453,f1471,f1480,f1489,f1508,f1527,f1556,f1578,f1610,f1614,f1617,f1620,f1674,f1681,f1690,f1692,f1722,f1725,f1728,f1736,f1755,f1770,f1789,f1801,f1834,f1839,f1847,f1860,f1862,f1869,f1873,f1909,f1911,f1915,f1917,f1924,f1970,f2031,f2070,f2096,f2104,f2133,f2154,f2160,f2170,f2204,f2206,f2213,f2214,f2235,f2239,f2241,f2263,f2310,f2314,f2318,f2355,f2357,f2359,f2361,f2363,f2367,f2370,f2382,f2387,f2433,f2470,f2485,f2502,f2504,f2507,f2521,f2523,f2585,f2586,f2589,f2593,f2601,f2602,f2611,f2620,f2690,f2701,f2730,f2751,f2765,f2766,f2789,f2812,f2825,f2827,f2958,f3034,f3063,f3100,f3137,f3203,f3252,f3317,f3338,f3345,f3364]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG056+1 : TPTP v8.1.2. Released v2.7.0.
% 0.11/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Apr 29 23:23:26 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.35 % Drodi V3.6.0
% 0.19/0.54 % Refutation found
% 0.19/0.54 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.54 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.55 % Elapsed time: 0.214780 seconds
% 0.19/0.55 % CPU time: 1.572148 seconds
% 0.19/0.55 % Total memory used: 35.501 MB
% 0.19/0.55 % Net memory used: 34.770 MB
%------------------------------------------------------------------------------