TSTP Solution File: ALG055+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG055+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n003.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 1.76s 0.60s
% Output : CNFRefutation 1.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 147
% Syntax : Number of formulae : 646 ( 113 unt; 0 def)
% Number of atoms : 4674 (3792 equ)
% Maximal formula atoms : 425 ( 7 avg)
% Number of connectives : 6557 (2529 ~;1881 |;2007 &)
% ( 122 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 142 ( 140 usr; 141 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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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
& e0 != unit ) )
& ( op(e0,e1) != e0
| ( op(e0,e0) = e1
& e0 != unit ) )
& ( op(e0,e2) != e0
| ( op(e0,e0) = e2
& e0 != unit ) )
& ( op(e0,e3) != e0
| ( op(e0,e0) = e3
& e0 != unit ) )
& ( op(e0,e4) != e0
| ( op(e0,e0) = e4
& e0 != unit ) )
& ( op(e1,e0) != e0
| ( op(e1,e0) = e0
& e0 != unit ) )
& ( op(e1,e1) != e0
| ( op(e1,e0) = e1
& e0 != unit ) )
& ( op(e1,e2) != e0
| ( op(e1,e0) = e2
& e0 != unit ) )
& ( op(e1,e3) != e0
| ( op(e1,e0) = e3
& e0 != unit ) )
& ( op(e1,e4) != e0
| ( op(e1,e0) = e4
& e0 != unit ) )
& ( op(e2,e0) != e0
| ( op(e2,e0) = e0
& e0 != unit ) )
& ( op(e2,e1) != e0
| ( op(e2,e0) = e1
& e0 != unit ) )
& ( op(e2,e2) != e0
| ( op(e2,e0) = e2
& e0 != unit ) )
& ( op(e2,e3) != e0
| ( op(e2,e0) = e3
& e0 != unit ) )
& ( op(e2,e4) != e0
| ( op(e2,e0) = e4
& e0 != unit ) )
& ( op(e3,e0) != e0
| ( op(e3,e0) = e0
& e0 != unit ) )
& ( op(e3,e1) != e0
| ( op(e3,e0) = e1
& e0 != unit ) )
& ( op(e3,e2) != e0
| ( op(e3,e0) = e2
& e0 != unit ) )
& ( op(e3,e3) != e0
| ( op(e3,e0) = e3
& e0 != unit ) )
& ( op(e3,e4) != e0
| ( op(e3,e0) = e4
& e0 != unit ) )
& ( op(e4,e0) != e0
| ( op(e4,e0) = e0
& e0 != unit ) )
& ( op(e4,e1) != e0
| ( op(e4,e0) = e1
& e0 != unit ) )
& ( op(e4,e2) != e0
| ( op(e4,e0) = e2
& e0 != unit ) )
& ( op(e4,e3) != e0
| ( op(e4,e0) = e3
& e0 != unit ) )
& ( op(e4,e4) != e0
| ( op(e4,e0) = e4
& e0 != unit ) ) )
| ( ( op(e0,e0) != e1
| ( op(e0,e1) = e0
& e1 != unit ) )
& ( op(e0,e1) != e1
| ( op(e0,e1) = e1
& e1 != unit ) )
& ( op(e0,e2) != e1
| ( op(e0,e1) = e2
& e1 != unit ) )
& ( op(e0,e3) != e1
| ( op(e0,e1) = e3
& e1 != unit ) )
& ( op(e0,e4) != e1
| ( op(e0,e1) = e4
& e1 != unit ) )
& ( op(e1,e0) != e1
| ( op(e1,e1) = e0
& e1 != unit ) )
& ( op(e1,e1) != e1
| ( op(e1,e1) = e1
& e1 != unit ) )
& ( op(e1,e2) != e1
| ( op(e1,e1) = e2
& e1 != unit ) )
& ( op(e1,e3) != e1
| ( op(e1,e1) = e3
& e1 != unit ) )
& ( op(e1,e4) != e1
| ( op(e1,e1) = e4
& e1 != unit ) )
& ( op(e2,e0) != e1
| ( op(e2,e1) = e0
& e1 != unit ) )
& ( op(e2,e1) != e1
| ( op(e2,e1) = e1
& e1 != unit ) )
& ( op(e2,e2) != e1
| ( op(e2,e1) = e2
& e1 != unit ) )
& ( op(e2,e3) != e1
| ( op(e2,e1) = e3
& e1 != unit ) )
& ( op(e2,e4) != e1
| ( op(e2,e1) = e4
& e1 != unit ) )
& ( op(e3,e0) != e1
| ( op(e3,e1) = e0
& e1 != unit ) )
& ( op(e3,e1) != e1
| ( op(e3,e1) = e1
& e1 != unit ) )
& ( op(e3,e2) != e1
| ( op(e3,e1) = e2
& e1 != unit ) )
& ( op(e3,e3) != e1
| ( op(e3,e1) = e3
& e1 != unit ) )
& ( op(e3,e4) != e1
| ( op(e3,e1) = e4
& e1 != unit ) )
& ( op(e4,e0) != e1
| ( op(e4,e1) = e0
& e1 != unit ) )
& ( op(e4,e1) != e1
| ( op(e4,e1) = e1
& e1 != unit ) )
& ( op(e4,e2) != e1
| ( op(e4,e1) = e2
& e1 != unit ) )
& ( op(e4,e3) != e1
| ( op(e4,e1) = e3
& e1 != unit ) )
& ( op(e4,e4) != e1
| ( op(e4,e1) = e4
& e1 != unit ) ) )
| ( ( op(e0,e0) != e2
| ( op(e0,e2) = e0
& e2 != unit ) )
& ( op(e0,e1) != e2
| ( op(e0,e2) = e1
& e2 != unit ) )
& ( op(e0,e2) != e2
| ( op(e0,e2) = e2
& e2 != unit ) )
& ( op(e0,e3) != e2
| ( op(e0,e2) = e3
& e2 != unit ) )
& ( op(e0,e4) != e2
| ( op(e0,e2) = e4
& e2 != unit ) )
& ( op(e1,e0) != e2
| ( op(e1,e2) = e0
& e2 != unit ) )
& ( op(e1,e1) != e2
| ( op(e1,e2) = e1
& e2 != unit ) )
& ( op(e1,e2) != e2
| ( op(e1,e2) = e2
& e2 != unit ) )
& ( op(e1,e3) != e2
| ( op(e1,e2) = e3
& e2 != unit ) )
& ( op(e1,e4) != e2
| ( op(e1,e2) = e4
& e2 != unit ) )
& ( op(e2,e0) != e2
| ( op(e2,e2) = e0
& e2 != unit ) )
& ( op(e2,e1) != e2
| ( op(e2,e2) = e1
& e2 != unit ) )
& ( op(e2,e2) != e2
| ( op(e2,e2) = e2
& e2 != unit ) )
& ( op(e2,e3) != e2
| ( op(e2,e2) = e3
& e2 != unit ) )
& ( op(e2,e4) != e2
| ( op(e2,e2) = e4
& e2 != unit ) )
& ( op(e3,e0) != e2
| ( op(e3,e2) = e0
& e2 != unit ) )
& ( op(e3,e1) != e2
| ( op(e3,e2) = e1
& e2 != unit ) )
& ( op(e3,e2) != e2
| ( op(e3,e2) = e2
& e2 != unit ) )
& ( op(e3,e3) != e2
| ( op(e3,e2) = e3
& e2 != unit ) )
& ( op(e3,e4) != e2
| ( op(e3,e2) = e4
& e2 != unit ) )
& ( op(e4,e0) != e2
| ( op(e4,e2) = e0
& e2 != unit ) )
& ( op(e4,e1) != e2
| ( op(e4,e2) = e1
& e2 != unit ) )
& ( op(e4,e2) != e2
| ( op(e4,e2) = e2
& e2 != unit ) )
& ( op(e4,e3) != e2
| ( op(e4,e2) = e3
& e2 != unit ) )
& ( op(e4,e4) != e2
| ( op(e4,e2) = e4
& e2 != unit ) ) )
| ( ( op(e0,e0) != e3
| ( op(e0,e3) = e0
& e3 != unit ) )
& ( op(e0,e1) != e3
| ( op(e0,e3) = e1
& e3 != unit ) )
& ( op(e0,e2) != e3
| ( op(e0,e3) = e2
& e3 != unit ) )
& ( op(e0,e3) != e3
| ( op(e0,e3) = e3
& e3 != unit ) )
& ( op(e0,e4) != e3
| ( op(e0,e3) = e4
& e3 != unit ) )
& ( op(e1,e0) != e3
| ( op(e1,e3) = e0
& e3 != unit ) )
& ( op(e1,e1) != e3
| ( op(e1,e3) = e1
& e3 != unit ) )
& ( op(e1,e2) != e3
| ( op(e1,e3) = e2
& e3 != unit ) )
& ( op(e1,e3) != e3
| ( op(e1,e3) = e3
& e3 != unit ) )
& ( op(e1,e4) != e3
| ( op(e1,e3) = e4
& e3 != unit ) )
& ( op(e2,e0) != e3
| ( op(e2,e3) = e0
& e3 != unit ) )
& ( op(e2,e1) != e3
| ( op(e2,e3) = e1
& e3 != unit ) )
& ( op(e2,e2) != e3
| ( op(e2,e3) = e2
& e3 != unit ) )
& ( op(e2,e3) != e3
| ( op(e2,e3) = e3
& e3 != unit ) )
& ( op(e2,e4) != e3
| ( op(e2,e3) = e4
& e3 != unit ) )
& ( op(e3,e0) != e3
| ( op(e3,e3) = e0
& e3 != unit ) )
& ( op(e3,e1) != e3
| ( op(e3,e3) = e1
& e3 != unit ) )
& ( op(e3,e2) != e3
| ( op(e3,e3) = e2
& e3 != unit ) )
& ( op(e3,e3) != e3
| ( op(e3,e3) = e3
& e3 != unit ) )
& ( op(e3,e4) != e3
| ( op(e3,e3) = e4
& e3 != unit ) )
& ( op(e4,e0) != e3
| ( op(e4,e3) = e0
& e3 != unit ) )
& ( op(e4,e1) != e3
| ( op(e4,e3) = e1
& e3 != unit ) )
& ( op(e4,e2) != e3
| ( op(e4,e3) = e2
& e3 != unit ) )
& ( op(e4,e3) != e3
| ( op(e4,e3) = e3
& e3 != unit ) )
& ( op(e4,e4) != e3
| ( op(e4,e3) = e4
& e3 != unit ) ) )
| ( ( op(e0,e0) != e4
| ( op(e0,e4) = e0
& e4 != unit ) )
& ( op(e0,e1) != e4
| ( op(e0,e4) = e1
& e4 != unit ) )
& ( op(e0,e2) != e4
| ( op(e0,e4) = e2
& e4 != unit ) )
& ( op(e0,e3) != e4
| ( op(e0,e4) = e3
& e4 != unit ) )
& ( op(e0,e4) != e4
| ( op(e0,e4) = e4
& e4 != unit ) )
& ( op(e1,e0) != e4
| ( op(e1,e4) = e0
& e4 != unit ) )
& ( op(e1,e1) != e4
| ( op(e1,e4) = e1
& e4 != unit ) )
& ( op(e1,e2) != e4
| ( op(e1,e4) = e2
& e4 != unit ) )
& ( op(e1,e3) != e4
| ( op(e1,e4) = e3
& e4 != unit ) )
& ( op(e1,e4) != e4
| ( op(e1,e4) = e4
& e4 != unit ) )
& ( op(e2,e0) != e4
| ( op(e2,e4) = e0
& e4 != unit ) )
& ( op(e2,e1) != e4
| ( op(e2,e4) = e1
& e4 != unit ) )
& ( op(e2,e2) != e4
| ( op(e2,e4) = e2
& e4 != unit ) )
& ( op(e2,e3) != e4
| ( op(e2,e4) = e3
& e4 != unit ) )
& ( op(e2,e4) != e4
| ( op(e2,e4) = e4
& e4 != unit ) )
& ( op(e3,e0) != e4
| ( op(e3,e4) = e0
& e4 != unit ) )
& ( op(e3,e1) != e4
| ( op(e3,e4) = e1
& e4 != unit ) )
& ( op(e3,e2) != e4
| ( op(e3,e4) = e2
& e4 != unit ) )
& ( op(e3,e3) != e4
| ( op(e3,e4) = e3
& e4 != unit ) )
& ( op(e3,e4) != e4
| ( op(e3,e4) = e4
& e4 != unit ) )
& ( op(e4,e0) != e4
| ( op(e4,e4) = e0
& e4 != unit ) )
& ( op(e4,e1) != e4
| ( op(e4,e4) = e1
& e4 != unit ) )
& ( op(e4,e2) != e4
| ( op(e4,e4) = e2
& e4 != unit ) )
& ( op(e4,e3) != e4
| ( op(e4,e4) = e3
& e4 != unit ) )
& ( op(e4,e4) != e4
| ( op(e4,e4) = e4
& e4 != unit ) ) ) ) ),
file('/export/starexec/sandbox2/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
& e0 != unit ) )
& ( op(e0,e1) != e0
| ( op(e0,e0) = e1
& e0 != unit ) )
& ( op(e0,e2) != e0
| ( op(e0,e0) = e2
& e0 != unit ) )
& ( op(e0,e3) != e0
| ( op(e0,e0) = e3
& e0 != unit ) )
& ( op(e0,e4) != e0
| ( op(e0,e0) = e4
& e0 != unit ) )
& ( op(e1,e0) != e0
| ( op(e1,e0) = e0
& e0 != unit ) )
& ( op(e1,e1) != e0
| ( op(e1,e0) = e1
& e0 != unit ) )
& ( op(e1,e2) != e0
| ( op(e1,e0) = e2
& e0 != unit ) )
& ( op(e1,e3) != e0
| ( op(e1,e0) = e3
& e0 != unit ) )
& ( op(e1,e4) != e0
| ( op(e1,e0) = e4
& e0 != unit ) )
& ( op(e2,e0) != e0
| ( op(e2,e0) = e0
& e0 != unit ) )
& ( op(e2,e1) != e0
| ( op(e2,e0) = e1
& e0 != unit ) )
& ( op(e2,e2) != e0
| ( op(e2,e0) = e2
& e0 != unit ) )
& ( op(e2,e3) != e0
| ( op(e2,e0) = e3
& e0 != unit ) )
& ( op(e2,e4) != e0
| ( op(e2,e0) = e4
& e0 != unit ) )
& ( op(e3,e0) != e0
| ( op(e3,e0) = e0
& e0 != unit ) )
& ( op(e3,e1) != e0
| ( op(e3,e0) = e1
& e0 != unit ) )
& ( op(e3,e2) != e0
| ( op(e3,e0) = e2
& e0 != unit ) )
& ( op(e3,e3) != e0
| ( op(e3,e0) = e3
& e0 != unit ) )
& ( op(e3,e4) != e0
| ( op(e3,e0) = e4
& e0 != unit ) )
& ( op(e4,e0) != e0
| ( op(e4,e0) = e0
& e0 != unit ) )
& ( op(e4,e1) != e0
| ( op(e4,e0) = e1
& e0 != unit ) )
& ( op(e4,e2) != e0
| ( op(e4,e0) = e2
& e0 != unit ) )
& ( op(e4,e3) != e0
| ( op(e4,e0) = e3
& e0 != unit ) )
& ( op(e4,e4) != e0
| ( op(e4,e0) = e4
& e0 != unit ) ) )
| ( ( op(e0,e0) != e1
| ( op(e0,e1) = e0
& e1 != unit ) )
& ( op(e0,e1) != e1
| ( op(e0,e1) = e1
& e1 != unit ) )
& ( op(e0,e2) != e1
| ( op(e0,e1) = e2
& e1 != unit ) )
& ( op(e0,e3) != e1
| ( op(e0,e1) = e3
& e1 != unit ) )
& ( op(e0,e4) != e1
| ( op(e0,e1) = e4
& e1 != unit ) )
& ( op(e1,e0) != e1
| ( op(e1,e1) = e0
& e1 != unit ) )
& ( op(e1,e1) != e1
| ( op(e1,e1) = e1
& e1 != unit ) )
& ( op(e1,e2) != e1
| ( op(e1,e1) = e2
& e1 != unit ) )
& ( op(e1,e3) != e1
| ( op(e1,e1) = e3
& e1 != unit ) )
& ( op(e1,e4) != e1
| ( op(e1,e1) = e4
& e1 != unit ) )
& ( op(e2,e0) != e1
| ( op(e2,e1) = e0
& e1 != unit ) )
& ( op(e2,e1) != e1
| ( op(e2,e1) = e1
& e1 != unit ) )
& ( op(e2,e2) != e1
| ( op(e2,e1) = e2
& e1 != unit ) )
& ( op(e2,e3) != e1
| ( op(e2,e1) = e3
& e1 != unit ) )
& ( op(e2,e4) != e1
| ( op(e2,e1) = e4
& e1 != unit ) )
& ( op(e3,e0) != e1
| ( op(e3,e1) = e0
& e1 != unit ) )
& ( op(e3,e1) != e1
| ( op(e3,e1) = e1
& e1 != unit ) )
& ( op(e3,e2) != e1
| ( op(e3,e1) = e2
& e1 != unit ) )
& ( op(e3,e3) != e1
| ( op(e3,e1) = e3
& e1 != unit ) )
& ( op(e3,e4) != e1
| ( op(e3,e1) = e4
& e1 != unit ) )
& ( op(e4,e0) != e1
| ( op(e4,e1) = e0
& e1 != unit ) )
& ( op(e4,e1) != e1
| ( op(e4,e1) = e1
& e1 != unit ) )
& ( op(e4,e2) != e1
| ( op(e4,e1) = e2
& e1 != unit ) )
& ( op(e4,e3) != e1
| ( op(e4,e1) = e3
& e1 != unit ) )
& ( op(e4,e4) != e1
| ( op(e4,e1) = e4
& e1 != unit ) ) )
| ( ( op(e0,e0) != e2
| ( op(e0,e2) = e0
& e2 != unit ) )
& ( op(e0,e1) != e2
| ( op(e0,e2) = e1
& e2 != unit ) )
& ( op(e0,e2) != e2
| ( op(e0,e2) = e2
& e2 != unit ) )
& ( op(e0,e3) != e2
| ( op(e0,e2) = e3
& e2 != unit ) )
& ( op(e0,e4) != e2
| ( op(e0,e2) = e4
& e2 != unit ) )
& ( op(e1,e0) != e2
| ( op(e1,e2) = e0
& e2 != unit ) )
& ( op(e1,e1) != e2
| ( op(e1,e2) = e1
& e2 != unit ) )
& ( op(e1,e2) != e2
| ( op(e1,e2) = e2
& e2 != unit ) )
& ( op(e1,e3) != e2
| ( op(e1,e2) = e3
& e2 != unit ) )
& ( op(e1,e4) != e2
| ( op(e1,e2) = e4
& e2 != unit ) )
& ( op(e2,e0) != e2
| ( op(e2,e2) = e0
& e2 != unit ) )
& ( op(e2,e1) != e2
| ( op(e2,e2) = e1
& e2 != unit ) )
& ( op(e2,e2) != e2
| ( op(e2,e2) = e2
& e2 != unit ) )
& ( op(e2,e3) != e2
| ( op(e2,e2) = e3
& e2 != unit ) )
& ( op(e2,e4) != e2
| ( op(e2,e2) = e4
& e2 != unit ) )
& ( op(e3,e0) != e2
| ( op(e3,e2) = e0
& e2 != unit ) )
& ( op(e3,e1) != e2
| ( op(e3,e2) = e1
& e2 != unit ) )
& ( op(e3,e2) != e2
| ( op(e3,e2) = e2
& e2 != unit ) )
& ( op(e3,e3) != e2
| ( op(e3,e2) = e3
& e2 != unit ) )
& ( op(e3,e4) != e2
| ( op(e3,e2) = e4
& e2 != unit ) )
& ( op(e4,e0) != e2
| ( op(e4,e2) = e0
& e2 != unit ) )
& ( op(e4,e1) != e2
| ( op(e4,e2) = e1
& e2 != unit ) )
& ( op(e4,e2) != e2
| ( op(e4,e2) = e2
& e2 != unit ) )
& ( op(e4,e3) != e2
| ( op(e4,e2) = e3
& e2 != unit ) )
& ( op(e4,e4) != e2
| ( op(e4,e2) = e4
& e2 != unit ) ) )
| ( ( op(e0,e0) != e3
| ( op(e0,e3) = e0
& e3 != unit ) )
& ( op(e0,e1) != e3
| ( op(e0,e3) = e1
& e3 != unit ) )
& ( op(e0,e2) != e3
| ( op(e0,e3) = e2
& e3 != unit ) )
& ( op(e0,e3) != e3
| ( op(e0,e3) = e3
& e3 != unit ) )
& ( op(e0,e4) != e3
| ( op(e0,e3) = e4
& e3 != unit ) )
& ( op(e1,e0) != e3
| ( op(e1,e3) = e0
& e3 != unit ) )
& ( op(e1,e1) != e3
| ( op(e1,e3) = e1
& e3 != unit ) )
& ( op(e1,e2) != e3
| ( op(e1,e3) = e2
& e3 != unit ) )
& ( op(e1,e3) != e3
| ( op(e1,e3) = e3
& e3 != unit ) )
& ( op(e1,e4) != e3
| ( op(e1,e3) = e4
& e3 != unit ) )
& ( op(e2,e0) != e3
| ( op(e2,e3) = e0
& e3 != unit ) )
& ( op(e2,e1) != e3
| ( op(e2,e3) = e1
& e3 != unit ) )
& ( op(e2,e2) != e3
| ( op(e2,e3) = e2
& e3 != unit ) )
& ( op(e2,e3) != e3
| ( op(e2,e3) = e3
& e3 != unit ) )
& ( op(e2,e4) != e3
| ( op(e2,e3) = e4
& e3 != unit ) )
& ( op(e3,e0) != e3
| ( op(e3,e3) = e0
& e3 != unit ) )
& ( op(e3,e1) != e3
| ( op(e3,e3) = e1
& e3 != unit ) )
& ( op(e3,e2) != e3
| ( op(e3,e3) = e2
& e3 != unit ) )
& ( op(e3,e3) != e3
| ( op(e3,e3) = e3
& e3 != unit ) )
& ( op(e3,e4) != e3
| ( op(e3,e3) = e4
& e3 != unit ) )
& ( op(e4,e0) != e3
| ( op(e4,e3) = e0
& e3 != unit ) )
& ( op(e4,e1) != e3
| ( op(e4,e3) = e1
& e3 != unit ) )
& ( op(e4,e2) != e3
| ( op(e4,e3) = e2
& e3 != unit ) )
& ( op(e4,e3) != e3
| ( op(e4,e3) = e3
& e3 != unit ) )
& ( op(e4,e4) != e3
| ( op(e4,e3) = e4
& e3 != unit ) ) )
| ( ( op(e0,e0) != e4
| ( op(e0,e4) = e0
& e4 != unit ) )
& ( op(e0,e1) != e4
| ( op(e0,e4) = e1
& e4 != unit ) )
& ( op(e0,e2) != e4
| ( op(e0,e4) = e2
& e4 != unit ) )
& ( op(e0,e3) != e4
| ( op(e0,e4) = e3
& e4 != unit ) )
& ( op(e0,e4) != e4
| ( op(e0,e4) = e4
& e4 != unit ) )
& ( op(e1,e0) != e4
| ( op(e1,e4) = e0
& e4 != unit ) )
& ( op(e1,e1) != e4
| ( op(e1,e4) = e1
& e4 != unit ) )
& ( op(e1,e2) != e4
| ( op(e1,e4) = e2
& e4 != unit ) )
& ( op(e1,e3) != e4
| ( op(e1,e4) = e3
& e4 != unit ) )
& ( op(e1,e4) != e4
| ( op(e1,e4) = e4
& e4 != unit ) )
& ( op(e2,e0) != e4
| ( op(e2,e4) = e0
& e4 != unit ) )
& ( op(e2,e1) != e4
| ( op(e2,e4) = e1
& e4 != unit ) )
& ( op(e2,e2) != e4
| ( op(e2,e4) = e2
& e4 != unit ) )
& ( op(e2,e3) != e4
| ( op(e2,e4) = e3
& e4 != unit ) )
& ( op(e2,e4) != e4
| ( op(e2,e4) = e4
& e4 != unit ) )
& ( op(e3,e0) != e4
| ( op(e3,e4) = e0
& e4 != unit ) )
& ( op(e3,e1) != e4
| ( op(e3,e4) = e1
& e4 != unit ) )
& ( op(e3,e2) != e4
| ( op(e3,e4) = e2
& e4 != unit ) )
& ( op(e3,e3) != e4
| ( op(e3,e4) = e3
& e4 != unit ) )
& ( op(e3,e4) != e4
| ( op(e3,e4) = e4
& e4 != unit ) )
& ( op(e4,e0) != e4
| ( op(e4,e4) = e0
& e4 != unit ) )
& ( op(e4,e1) != e4
| ( op(e4,e4) = e1
& e4 != unit ) )
& ( op(e4,e2) != e4
| ( op(e4,e4) = e2
& e4 != unit ) )
& ( op(e4,e3) != e4
| ( op(e4,e4) = e3
& e4 != unit ) )
& ( op(e4,e4) != e4
| ( op(e4,e4) = e4
& e4 != unit ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f13,plain,
( op(e0,e4) = e0
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f18,plain,
( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f20,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f22,plain,
( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3
| op(e2,e3) = e4 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f31,plain,
( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3
| op(e4,e2) = 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(f37,plain,
op(e1,unit) = e1,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f38,plain,
op(unit,e2) = e2,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f41,plain,
op(e3,unit) = 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(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(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(f68,plain,
( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f70,plain,
( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f85,plain,
( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f87,plain,
( op(e4,e0) = e1
| op(e4,e1) = e1
| op(e4,e2) = e1
| op(e4,e3) = e1
| op(e4,e4) = e1 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f89,plain,
( op(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 ),
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(f94,plain,
( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4
| op(e4,e4) = e4 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f96,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f99,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f103,plain,
op(e2,e0) != op(e4,e0),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f106,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f108,plain,
op(e0,e1) != op(e4,e1),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f109,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f115,plain,
op(e0,e2) != op(e1,e2),
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(f119,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f123,plain,
op(e2,e2) != op(e4,e2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f133,plain,
op(e2,e3) != op(e4,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(f138,plain,
op(e0,e4) != op(e4,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f139,plain,
op(e1,e4) != op(e2,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f140,plain,
op(e1,e4) != op(e3,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f141,plain,
op(e1,e4) != op(e4,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f142,plain,
op(e2,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(f144,plain,
op(e3,e4) != op(e4,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f149,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f155,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f156,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f166,plain,
op(e2,e0) != op(e2,e2),
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(f171,plain,
op(e2,e1) != op(e2,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f172,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f173,plain,
op(e2,e2) != op(e2,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f174,plain,
op(e2,e3) != op(e2,e4),
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(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(f194,plain,
op(e4,e3) != 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(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
& e0 != unit ) )
& ( op(e0,e1) != e0
| ( op(e0,e0) = e1
& e0 != unit ) )
& ( op(e0,e2) != e0
| ( op(e0,e0) = e2
& e0 != unit ) )
& ( op(e0,e3) != e0
| ( op(e0,e0) = e3
& e0 != unit ) )
& ( op(e0,e4) != e0
| ( op(e0,e0) = e4
& e0 != unit ) )
& ( op(e1,e0) != e0
| ( op(e1,e0) = e0
& e0 != unit ) )
& ( op(e1,e1) != e0
| ( op(e1,e0) = e1
& e0 != unit ) )
& ( op(e1,e2) != e0
| ( op(e1,e0) = e2
& e0 != unit ) )
& ( op(e1,e3) != e0
| ( op(e1,e0) = e3
& e0 != unit ) )
& ( op(e1,e4) != e0
| ( op(e1,e0) = e4
& e0 != unit ) )
& ( op(e2,e0) != e0
| ( op(e2,e0) = e0
& e0 != unit ) )
& ( op(e2,e1) != e0
| ( op(e2,e0) = e1
& e0 != unit ) )
& ( op(e2,e2) != e0
| ( op(e2,e0) = e2
& e0 != unit ) )
& ( op(e2,e3) != e0
| ( op(e2,e0) = e3
& e0 != unit ) )
& ( op(e2,e4) != e0
| ( op(e2,e0) = e4
& e0 != unit ) )
& ( op(e3,e0) != e0
| ( op(e3,e0) = e0
& e0 != unit ) )
& ( op(e3,e1) != e0
| ( op(e3,e0) = e1
& e0 != unit ) )
& ( op(e3,e2) != e0
| ( op(e3,e0) = e2
& e0 != unit ) )
& ( op(e3,e3) != e0
| ( op(e3,e0) = e3
& e0 != unit ) )
& ( op(e3,e4) != e0
| ( op(e3,e0) = e4
& e0 != unit ) )
& ( op(e4,e0) != e0
| ( op(e4,e0) = e0
& e0 != unit ) )
& ( op(e4,e1) != e0
| ( op(e4,e0) = e1
& e0 != unit ) )
& ( op(e4,e2) != e0
| ( op(e4,e0) = e2
& e0 != unit ) )
& ( op(e4,e3) != e0
| ( op(e4,e0) = e3
& e0 != unit ) )
& ( op(e4,e4) != e0
| ( op(e4,e0) = e4
& e0 != unit ) ) )
| ( ( op(e0,e0) != e1
| ( op(e0,e1) = e0
& e1 != unit ) )
& ( op(e0,e1) != e1
| ( op(e0,e1) = e1
& e1 != unit ) )
& ( op(e0,e2) != e1
| ( op(e0,e1) = e2
& e1 != unit ) )
& ( op(e0,e3) != e1
| ( op(e0,e1) = e3
& e1 != unit ) )
& ( op(e0,e4) != e1
| ( op(e0,e1) = e4
& e1 != unit ) )
& ( op(e1,e0) != e1
| ( op(e1,e1) = e0
& e1 != unit ) )
& ( op(e1,e1) != e1
| ( op(e1,e1) = e1
& e1 != unit ) )
& ( op(e1,e2) != e1
| ( op(e1,e1) = e2
& e1 != unit ) )
& ( op(e1,e3) != e1
| ( op(e1,e1) = e3
& e1 != unit ) )
& ( op(e1,e4) != e1
| ( op(e1,e1) = e4
& e1 != unit ) )
& ( op(e2,e0) != e1
| ( op(e2,e1) = e0
& e1 != unit ) )
& ( op(e2,e1) != e1
| ( op(e2,e1) = e1
& e1 != unit ) )
& ( op(e2,e2) != e1
| ( op(e2,e1) = e2
& e1 != unit ) )
& ( op(e2,e3) != e1
| ( op(e2,e1) = e3
& e1 != unit ) )
& ( op(e2,e4) != e1
| ( op(e2,e1) = e4
& e1 != unit ) )
& ( op(e3,e0) != e1
| ( op(e3,e1) = e0
& e1 != unit ) )
& ( op(e3,e1) != e1
| ( op(e3,e1) = e1
& e1 != unit ) )
& ( op(e3,e2) != e1
| ( op(e3,e1) = e2
& e1 != unit ) )
& ( op(e3,e3) != e1
| ( op(e3,e1) = e3
& e1 != unit ) )
& ( op(e3,e4) != e1
| ( op(e3,e1) = e4
& e1 != unit ) )
& ( op(e4,e0) != e1
| ( op(e4,e1) = e0
& e1 != unit ) )
& ( op(e4,e1) != e1
| ( op(e4,e1) = e1
& e1 != unit ) )
& ( op(e4,e2) != e1
| ( op(e4,e1) = e2
& e1 != unit ) )
& ( op(e4,e3) != e1
| ( op(e4,e1) = e3
& e1 != unit ) )
& ( op(e4,e4) != e1
| ( op(e4,e1) = e4
& e1 != unit ) ) )
| ( ( op(e0,e0) != e2
| ( op(e0,e2) = e0
& e2 != unit ) )
& ( op(e0,e1) != e2
| ( op(e0,e2) = e1
& e2 != unit ) )
& ( op(e0,e2) != e2
| ( op(e0,e2) = e2
& e2 != unit ) )
& ( op(e0,e3) != e2
| ( op(e0,e2) = e3
& e2 != unit ) )
& ( op(e0,e4) != e2
| ( op(e0,e2) = e4
& e2 != unit ) )
& ( op(e1,e0) != e2
| ( op(e1,e2) = e0
& e2 != unit ) )
& ( op(e1,e1) != e2
| ( op(e1,e2) = e1
& e2 != unit ) )
& ( op(e1,e2) != e2
| ( op(e1,e2) = e2
& e2 != unit ) )
& ( op(e1,e3) != e2
| ( op(e1,e2) = e3
& e2 != unit ) )
& ( op(e1,e4) != e2
| ( op(e1,e2) = e4
& e2 != unit ) )
& ( op(e2,e0) != e2
| ( op(e2,e2) = e0
& e2 != unit ) )
& ( op(e2,e1) != e2
| ( op(e2,e2) = e1
& e2 != unit ) )
& ( op(e2,e2) != e2
| ( op(e2,e2) = e2
& e2 != unit ) )
& ( op(e2,e3) != e2
| ( op(e2,e2) = e3
& e2 != unit ) )
& ( op(e2,e4) != e2
| ( op(e2,e2) = e4
& e2 != unit ) )
& ( op(e3,e0) != e2
| ( op(e3,e2) = e0
& e2 != unit ) )
& ( op(e3,e1) != e2
| ( op(e3,e2) = e1
& e2 != unit ) )
& ( op(e3,e2) != e2
| ( op(e3,e2) = e2
& e2 != unit ) )
& ( op(e3,e3) != e2
| ( op(e3,e2) = e3
& e2 != unit ) )
& ( op(e3,e4) != e2
| ( op(e3,e2) = e4
& e2 != unit ) )
& ( op(e4,e0) != e2
| ( op(e4,e2) = e0
& e2 != unit ) )
& ( op(e4,e1) != e2
| ( op(e4,e2) = e1
& e2 != unit ) )
& ( op(e4,e2) != e2
| ( op(e4,e2) = e2
& e2 != unit ) )
& ( op(e4,e3) != e2
| ( op(e4,e2) = e3
& e2 != unit ) )
& ( op(e4,e4) != e2
| ( op(e4,e2) = e4
& e2 != unit ) ) )
| ( ( op(e0,e0) != e3
| ( op(e0,e3) = e0
& e3 != unit ) )
& ( op(e0,e1) != e3
| ( op(e0,e3) = e1
& e3 != unit ) )
& ( op(e0,e2) != e3
| ( op(e0,e3) = e2
& e3 != unit ) )
& ( op(e0,e3) != e3
| ( op(e0,e3) = e3
& e3 != unit ) )
& ( op(e0,e4) != e3
| ( op(e0,e3) = e4
& e3 != unit ) )
& ( op(e1,e0) != e3
| ( op(e1,e3) = e0
& e3 != unit ) )
& ( op(e1,e1) != e3
| ( op(e1,e3) = e1
& e3 != unit ) )
& ( op(e1,e2) != e3
| ( op(e1,e3) = e2
& e3 != unit ) )
& ( op(e1,e3) != e3
| ( op(e1,e3) = e3
& e3 != unit ) )
& ( op(e1,e4) != e3
| ( op(e1,e3) = e4
& e3 != unit ) )
& ( op(e2,e0) != e3
| ( op(e2,e3) = e0
& e3 != unit ) )
& ( op(e2,e1) != e3
| ( op(e2,e3) = e1
& e3 != unit ) )
& ( op(e2,e2) != e3
| ( op(e2,e3) = e2
& e3 != unit ) )
& ( op(e2,e3) != e3
| ( op(e2,e3) = e3
& e3 != unit ) )
& ( op(e2,e4) != e3
| ( op(e2,e3) = e4
& e3 != unit ) )
& ( op(e3,e0) != e3
| ( op(e3,e3) = e0
& e3 != unit ) )
& ( op(e3,e1) != e3
| ( op(e3,e3) = e1
& e3 != unit ) )
& ( op(e3,e2) != e3
| ( op(e3,e3) = e2
& e3 != unit ) )
& ( op(e3,e3) != e3
| ( op(e3,e3) = e3
& e3 != unit ) )
& ( op(e3,e4) != e3
| ( op(e3,e3) = e4
& e3 != unit ) )
& ( op(e4,e0) != e3
| ( op(e4,e3) = e0
& e3 != unit ) )
& ( op(e4,e1) != e3
| ( op(e4,e3) = e1
& e3 != unit ) )
& ( op(e4,e2) != e3
| ( op(e4,e3) = e2
& e3 != unit ) )
& ( op(e4,e3) != e3
| ( op(e4,e3) = e3
& e3 != unit ) )
& ( op(e4,e4) != e3
| ( op(e4,e3) = e4
& e3 != unit ) ) ) ) ),
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(e0,e0) != e4
| ( op(e0,e4) = e0
& e4 != unit ) )
& ( op(e0,e1) != e4
| ( op(e0,e4) = e1
& e4 != unit ) )
& ( op(e0,e2) != e4
| ( op(e0,e4) = e2
& e4 != unit ) )
& ( op(e0,e3) != e4
| ( op(e0,e4) = e3
& e4 != unit ) )
& ( op(e0,e4) != e4
| ( op(e0,e4) = e4
& e4 != unit ) )
& ( op(e1,e0) != e4
| ( op(e1,e4) = e0
& e4 != unit ) )
& ( op(e1,e1) != e4
| ( op(e1,e4) = e1
& e4 != unit ) )
& ( op(e1,e2) != e4
| ( op(e1,e4) = e2
& e4 != unit ) )
& ( op(e1,e3) != e4
| ( op(e1,e4) = e3
& e4 != unit ) )
& ( op(e1,e4) != e4
| ( op(e1,e4) = e4
& e4 != unit ) )
& ( op(e2,e0) != e4
| ( op(e2,e4) = e0
& e4 != unit ) )
& ( op(e2,e1) != e4
| ( op(e2,e4) = e1
& e4 != unit ) )
& ( op(e2,e2) != e4
| ( op(e2,e4) = e2
& e4 != unit ) )
& ( op(e2,e3) != e4
| ( op(e2,e4) = e3
& e4 != unit ) )
& ( op(e2,e4) != e4
| ( op(e2,e4) = e4
& e4 != unit ) )
& ( op(e3,e0) != e4
| ( op(e3,e4) = e0
& e4 != unit ) )
& ( op(e3,e1) != e4
| ( op(e3,e4) = e1
& e4 != unit ) )
& ( op(e3,e2) != e4
| ( op(e3,e4) = e2
& e4 != unit ) )
& ( op(e3,e3) != e4
| ( op(e3,e4) = e3
& e4 != unit ) )
& ( op(e3,e4) != e4
| ( op(e3,e4) = e4
& e4 != unit ) )
& ( op(e4,e0) != e4
| ( op(e4,e4) = e0
& e4 != unit ) )
& ( op(e4,e1) != e4
| ( op(e4,e4) = e1
& e4 != unit ) )
& ( op(e4,e2) != e4
| ( op(e4,e4) = e2
& e4 != unit ) )
& ( op(e4,e3) != e4
| ( op(e4,e4) = e3
& e4 != unit ) )
& ( op(e4,e4) != e4
| ( op(e4,e4) = e4
& e4 != unit ) ) ) ) ),
inference(formula_renaming,[status(thm)],[f8,f214,f213,f212,f211,f210,f209]) ).
fof(f216,plain,
( pd0_0
| op(e4,op(e4,e0)) != e0 ),
inference(cnf_transformation,[status(esa)],[f215]) ).
fof(f218,plain,
( pd0_1
| op(e4,op(e4,e1)) != e1 ),
inference(cnf_transformation,[status(esa)],[f215]) ).
fof(f219,plain,
( pd0_1
| op(e1,op(e4,e1)) = e4 ),
inference(cnf_transformation,[status(esa)],[f215]) ).
fof(f220,plain,
( pd0_2
| op(e4,op(e4,e2)) != e2 ),
inference(cnf_transformation,[status(esa)],[f215]) ).
fof(f221,plain,
( pd0_2
| op(e2,op(e4,e2)) = 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(f250,plain,
( pd0_5
| op(e2,e2) != e4
| op(e2,e4) = e2 ),
inference(cnf_transformation,[status(esa)],[f215]) ).
fof(f281,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 ) ),
inference(pre_NNF_transformation,[status(esa)],[f210]) ).
fof(f282,plain,
( pd0_7
=> ( ( 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 ) ) ),
introduced(predicate_definition,[f281]) ).
fof(f283,plain,
( ~ pd0_1
| pd0_7
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 ) ),
inference(formula_renaming,[status(thm)],[f281,f282]) ).
fof(f285,plain,
( ~ pd0_1
| pd0_7
| op(e1,op(e3,e1)) = e3 ),
inference(cnf_transformation,[status(esa)],[f283]) ).
fof(f286,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 ) ),
inference(pre_NNF_transformation,[status(esa)],[f211]) ).
fof(f287,plain,
( pd0_8
=> ( ( 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 ) ) ),
introduced(predicate_definition,[f286]) ).
fof(f288,plain,
( ~ pd0_2
| pd0_8
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 ) ),
inference(formula_renaming,[status(thm)],[f286,f287]) ).
fof(f289,plain,
( ~ pd0_2
| pd0_8
| op(e3,op(e3,e2)) != e2 ),
inference(cnf_transformation,[status(esa)],[f288]) ).
fof(f290,plain,
( ~ pd0_2
| pd0_8
| op(e2,op(e3,e2)) = e3 ),
inference(cnf_transformation,[status(esa)],[f288]) ).
fof(f296,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(f297,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,[f296]) ).
fof(f298,plain,
( ~ pd0_4
| pd0_10
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 ) ),
inference(formula_renaming,[status(thm)],[f296,f297]) ).
fof(f299,plain,
( ~ pd0_4
| pd0_10
| op(e3,op(e3,e4)) != e4 ),
inference(cnf_transformation,[status(esa)],[f298]) ).
fof(f301,plain,
( ~ pd0_5
| ( ( op(e0,e0) != e0
| ( op(e0,e0) = e0
& e0 != unit ) )
& ( op(e0,e1) != e0
| ( op(e0,e0) = e1
& e0 != unit ) )
& ( op(e0,e2) != e0
| ( op(e0,e0) = e2
& e0 != unit ) )
& ( op(e0,e3) != e0
| ( op(e0,e0) = e3
& e0 != unit ) )
& ( op(e0,e4) != e0
| ( op(e0,e0) = e4
& e0 != unit ) )
& ( op(e1,e0) != e0
| ( op(e1,e0) = e0
& e0 != unit ) )
& ( op(e1,e1) != e0
| ( op(e1,e0) = e1
& e0 != unit ) )
& ( op(e1,e2) != e0
| ( op(e1,e0) = e2
& e0 != unit ) )
& ( op(e1,e3) != e0
| ( op(e1,e0) = e3
& e0 != unit ) )
& ( op(e1,e4) != e0
| ( op(e1,e0) = e4
& e0 != unit ) )
& ( op(e2,e0) != e0
| ( op(e2,e0) = e0
& e0 != unit ) )
& ( op(e2,e1) != e0
| ( op(e2,e0) = e1
& e0 != unit ) )
& ( op(e2,e2) != e0
| ( op(e2,e0) = e2
& e0 != unit ) )
& ( op(e2,e3) != e0
| ( op(e2,e0) = e3
& e0 != unit ) )
& ( op(e2,e4) != e0
| ( op(e2,e0) = e4
& e0 != unit ) )
& ( op(e3,e0) != e0
| ( op(e3,e0) = e0
& e0 != unit ) )
& ( op(e3,e1) != e0
| ( op(e3,e0) = e1
& e0 != unit ) )
& ( op(e3,e2) != e0
| ( op(e3,e0) = e2
& e0 != unit ) )
& ( op(e3,e3) != e0
| ( op(e3,e0) = e3
& e0 != unit ) )
& ( op(e3,e4) != e0
| ( op(e3,e0) = e4
& e0 != unit ) )
& ( op(e4,e0) != e0
| ( op(e4,e0) = e0
& e0 != unit ) )
& ( op(e4,e1) != e0
| ( op(e4,e0) = e1
& e0 != unit ) )
& ( op(e4,e2) != e0
| ( op(e4,e0) = e2
& e0 != unit ) )
& ( op(e4,e3) != e0
| ( op(e4,e0) = e3
& e0 != unit ) )
& ( op(e4,e4) != e0
| ( op(e4,e0) = e4
& e0 != unit ) ) )
| ( ( op(e0,e0) != e1
| ( op(e0,e1) = e0
& e1 != unit ) )
& ( op(e0,e1) != e1
| ( op(e0,e1) = e1
& e1 != unit ) )
& ( op(e0,e2) != e1
| ( op(e0,e1) = e2
& e1 != unit ) )
& ( op(e0,e3) != e1
| ( op(e0,e1) = e3
& e1 != unit ) )
& ( op(e0,e4) != e1
| ( op(e0,e1) = e4
& e1 != unit ) )
& ( op(e1,e0) != e1
| ( op(e1,e1) = e0
& e1 != unit ) )
& ( op(e1,e1) != e1
| ( op(e1,e1) = e1
& e1 != unit ) )
& ( op(e1,e2) != e1
| ( op(e1,e1) = e2
& e1 != unit ) )
& ( op(e1,e3) != e1
| ( op(e1,e1) = e3
& e1 != unit ) )
& ( op(e1,e4) != e1
| ( op(e1,e1) = e4
& e1 != unit ) )
& ( op(e2,e0) != e1
| ( op(e2,e1) = e0
& e1 != unit ) )
& ( op(e2,e1) != e1
| ( op(e2,e1) = e1
& e1 != unit ) )
& ( op(e2,e2) != e1
| ( op(e2,e1) = e2
& e1 != unit ) )
& ( op(e2,e3) != e1
| ( op(e2,e1) = e3
& e1 != unit ) )
& ( op(e2,e4) != e1
| ( op(e2,e1) = e4
& e1 != unit ) )
& ( op(e3,e0) != e1
| ( op(e3,e1) = e0
& e1 != unit ) )
& ( op(e3,e1) != e1
| ( op(e3,e1) = e1
& e1 != unit ) )
& ( op(e3,e2) != e1
| ( op(e3,e1) = e2
& e1 != unit ) )
& ( op(e3,e3) != e1
| ( op(e3,e1) = e3
& e1 != unit ) )
& ( op(e3,e4) != e1
| ( op(e3,e1) = e4
& e1 != unit ) )
& ( op(e4,e0) != e1
| ( op(e4,e1) = e0
& e1 != unit ) )
& ( op(e4,e1) != e1
| ( op(e4,e1) = e1
& e1 != unit ) )
& ( op(e4,e2) != e1
| ( op(e4,e1) = e2
& e1 != unit ) )
& ( op(e4,e3) != e1
| ( op(e4,e1) = e3
& e1 != unit ) )
& ( op(e4,e4) != e1
| ( op(e4,e1) = e4
& e1 != unit ) ) )
| ( ( op(e0,e0) != e2
| ( op(e0,e2) = e0
& e2 != unit ) )
& ( op(e0,e1) != e2
| ( op(e0,e2) = e1
& e2 != unit ) )
& ( op(e0,e2) != e2
| ( op(e0,e2) = e2
& e2 != unit ) )
& ( op(e0,e3) != e2
| ( op(e0,e2) = e3
& e2 != unit ) )
& ( op(e0,e4) != e2
| ( op(e0,e2) = e4
& e2 != unit ) )
& ( op(e1,e0) != e2
| ( op(e1,e2) = e0
& e2 != unit ) )
& ( op(e1,e1) != e2
| ( op(e1,e2) = e1
& e2 != unit ) )
& ( op(e1,e2) != e2
| ( op(e1,e2) = e2
& e2 != unit ) )
& ( op(e1,e3) != e2
| ( op(e1,e2) = e3
& e2 != unit ) )
& ( op(e1,e4) != e2
| ( op(e1,e2) = e4
& e2 != unit ) )
& ( op(e2,e0) != e2
| ( op(e2,e2) = e0
& e2 != unit ) )
& ( op(e2,e1) != e2
| ( op(e2,e2) = e1
& e2 != unit ) )
& ( op(e2,e2) != e2
| ( op(e2,e2) = e2
& e2 != unit ) )
& ( op(e2,e3) != e2
| ( op(e2,e2) = e3
& e2 != unit ) )
& ( op(e2,e4) != e2
| ( op(e2,e2) = e4
& e2 != unit ) )
& ( op(e3,e0) != e2
| ( op(e3,e2) = e0
& e2 != unit ) )
& ( op(e3,e1) != e2
| ( op(e3,e2) = e1
& e2 != unit ) )
& ( op(e3,e2) != e2
| ( op(e3,e2) = e2
& e2 != unit ) )
& ( op(e3,e3) != e2
| ( op(e3,e2) = e3
& e2 != unit ) )
& ( op(e3,e4) != e2
| ( op(e3,e2) = e4
& e2 != unit ) )
& ( op(e4,e0) != e2
| ( op(e4,e2) = e0
& e2 != unit ) )
& ( op(e4,e1) != e2
| ( op(e4,e2) = e1
& e2 != unit ) )
& ( op(e4,e2) != e2
| ( op(e4,e2) = e2
& e2 != unit ) )
& ( op(e4,e3) != e2
| ( op(e4,e2) = e3
& e2 != unit ) )
& ( op(e4,e4) != e2
| ( op(e4,e2) = e4
& e2 != unit ) ) )
| ( ( op(e0,e0) != e3
| ( op(e0,e3) = e0
& e3 != unit ) )
& ( op(e0,e1) != e3
| ( op(e0,e3) = e1
& e3 != unit ) )
& ( op(e0,e2) != e3
| ( op(e0,e3) = e2
& e3 != unit ) )
& ( op(e0,e3) != e3
| ( op(e0,e3) = e3
& e3 != unit ) )
& ( op(e0,e4) != e3
| ( op(e0,e3) = e4
& e3 != unit ) )
& ( op(e1,e0) != e3
| ( op(e1,e3) = e0
& e3 != unit ) )
& ( op(e1,e1) != e3
| ( op(e1,e3) = e1
& e3 != unit ) )
& ( op(e1,e2) != e3
| ( op(e1,e3) = e2
& e3 != unit ) )
& ( op(e1,e3) != e3
| ( op(e1,e3) = e3
& e3 != unit ) )
& ( op(e1,e4) != e3
| ( op(e1,e3) = e4
& e3 != unit ) )
& ( op(e2,e0) != e3
| ( op(e2,e3) = e0
& e3 != unit ) )
& ( op(e2,e1) != e3
| ( op(e2,e3) = e1
& e3 != unit ) )
& ( op(e2,e2) != e3
| ( op(e2,e3) = e2
& e3 != unit ) )
& ( op(e2,e3) != e3
| ( op(e2,e3) = e3
& e3 != unit ) )
& ( op(e2,e4) != e3
| ( op(e2,e3) = e4
& e3 != unit ) )
& ( op(e3,e0) != e3
| ( op(e3,e3) = e0
& e3 != unit ) )
& ( op(e3,e1) != e3
| ( op(e3,e3) = e1
& e3 != unit ) )
& ( op(e3,e2) != e3
| ( op(e3,e3) = e2
& e3 != unit ) )
& ( op(e3,e3) != e3
| ( op(e3,e3) = e3
& e3 != unit ) )
& ( op(e3,e4) != e3
| ( op(e3,e3) = e4
& e3 != unit ) )
& ( op(e4,e0) != e3
| ( op(e4,e3) = e0
& e3 != unit ) )
& ( op(e4,e1) != e3
| ( op(e4,e3) = e1
& e3 != unit ) )
& ( op(e4,e2) != e3
| ( op(e4,e3) = e2
& e3 != unit ) )
& ( op(e4,e3) != e3
| ( op(e4,e3) = e3
& e3 != unit ) )
& ( op(e4,e4) != e3
| ( op(e4,e3) = e4
& e3 != unit ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f214]) ).
fof(f302,plain,
( pd0_11
=> ( ( ( op(e0,e0) != e0
| ( op(e0,e0) = e0
& e0 != unit ) )
& ( op(e0,e1) != e0
| ( op(e0,e0) = e1
& e0 != unit ) )
& ( op(e0,e2) != e0
| ( op(e0,e0) = e2
& e0 != unit ) )
& ( op(e0,e3) != e0
| ( op(e0,e0) = e3
& e0 != unit ) )
& ( op(e0,e4) != e0
| ( op(e0,e0) = e4
& e0 != unit ) )
& ( op(e1,e0) != e0
| ( op(e1,e0) = e0
& e0 != unit ) )
& ( op(e1,e1) != e0
| ( op(e1,e0) = e1
& e0 != unit ) )
& ( op(e1,e2) != e0
| ( op(e1,e0) = e2
& e0 != unit ) )
& ( op(e1,e3) != e0
| ( op(e1,e0) = e3
& e0 != unit ) )
& ( op(e1,e4) != e0
| ( op(e1,e0) = e4
& e0 != unit ) )
& ( op(e2,e0) != e0
| ( op(e2,e0) = e0
& e0 != unit ) )
& ( op(e2,e1) != e0
| ( op(e2,e0) = e1
& e0 != unit ) )
& ( op(e2,e2) != e0
| ( op(e2,e0) = e2
& e0 != unit ) )
& ( op(e2,e3) != e0
| ( op(e2,e0) = e3
& e0 != unit ) )
& ( op(e2,e4) != e0
| ( op(e2,e0) = e4
& e0 != unit ) )
& ( op(e3,e0) != e0
| ( op(e3,e0) = e0
& e0 != unit ) )
& ( op(e3,e1) != e0
| ( op(e3,e0) = e1
& e0 != unit ) )
& ( op(e3,e2) != e0
| ( op(e3,e0) = e2
& e0 != unit ) )
& ( op(e3,e3) != e0
| ( op(e3,e0) = e3
& e0 != unit ) )
& ( op(e3,e4) != e0
| ( op(e3,e0) = e4
& e0 != unit ) )
& ( op(e4,e0) != e0
| ( op(e4,e0) = e0
& e0 != unit ) )
& ( op(e4,e1) != e0
| ( op(e4,e0) = e1
& e0 != unit ) )
& ( op(e4,e2) != e0
| ( op(e4,e0) = e2
& e0 != unit ) )
& ( op(e4,e3) != e0
| ( op(e4,e0) = e3
& e0 != unit ) )
& ( op(e4,e4) != e0
| ( op(e4,e0) = e4
& e0 != unit ) ) )
| ( ( op(e0,e0) != e1
| ( op(e0,e1) = e0
& e1 != unit ) )
& ( op(e0,e1) != e1
| ( op(e0,e1) = e1
& e1 != unit ) )
& ( op(e0,e2) != e1
| ( op(e0,e1) = e2
& e1 != unit ) )
& ( op(e0,e3) != e1
| ( op(e0,e1) = e3
& e1 != unit ) )
& ( op(e0,e4) != e1
| ( op(e0,e1) = e4
& e1 != unit ) )
& ( op(e1,e0) != e1
| ( op(e1,e1) = e0
& e1 != unit ) )
& ( op(e1,e1) != e1
| ( op(e1,e1) = e1
& e1 != unit ) )
& ( op(e1,e2) != e1
| ( op(e1,e1) = e2
& e1 != unit ) )
& ( op(e1,e3) != e1
| ( op(e1,e1) = e3
& e1 != unit ) )
& ( op(e1,e4) != e1
| ( op(e1,e1) = e4
& e1 != unit ) )
& ( op(e2,e0) != e1
| ( op(e2,e1) = e0
& e1 != unit ) )
& ( op(e2,e1) != e1
| ( op(e2,e1) = e1
& e1 != unit ) )
& ( op(e2,e2) != e1
| ( op(e2,e1) = e2
& e1 != unit ) )
& ( op(e2,e3) != e1
| ( op(e2,e1) = e3
& e1 != unit ) )
& ( op(e2,e4) != e1
| ( op(e2,e1) = e4
& e1 != unit ) )
& ( op(e3,e0) != e1
| ( op(e3,e1) = e0
& e1 != unit ) )
& ( op(e3,e1) != e1
| ( op(e3,e1) = e1
& e1 != unit ) )
& ( op(e3,e2) != e1
| ( op(e3,e1) = e2
& e1 != unit ) )
& ( op(e3,e3) != e1
| ( op(e3,e1) = e3
& e1 != unit ) )
& ( op(e3,e4) != e1
| ( op(e3,e1) = e4
& e1 != unit ) )
& ( op(e4,e0) != e1
| ( op(e4,e1) = e0
& e1 != unit ) )
& ( op(e4,e1) != e1
| ( op(e4,e1) = e1
& e1 != unit ) )
& ( op(e4,e2) != e1
| ( op(e4,e1) = e2
& e1 != unit ) )
& ( op(e4,e3) != e1
| ( op(e4,e1) = e3
& e1 != unit ) )
& ( op(e4,e4) != e1
| ( op(e4,e1) = e4
& e1 != unit ) ) )
| ( ( op(e0,e0) != e2
| ( op(e0,e2) = e0
& e2 != unit ) )
& ( op(e0,e1) != e2
| ( op(e0,e2) = e1
& e2 != unit ) )
& ( op(e0,e2) != e2
| ( op(e0,e2) = e2
& e2 != unit ) )
& ( op(e0,e3) != e2
| ( op(e0,e2) = e3
& e2 != unit ) )
& ( op(e0,e4) != e2
| ( op(e0,e2) = e4
& e2 != unit ) )
& ( op(e1,e0) != e2
| ( op(e1,e2) = e0
& e2 != unit ) )
& ( op(e1,e1) != e2
| ( op(e1,e2) = e1
& e2 != unit ) )
& ( op(e1,e2) != e2
| ( op(e1,e2) = e2
& e2 != unit ) )
& ( op(e1,e3) != e2
| ( op(e1,e2) = e3
& e2 != unit ) )
& ( op(e1,e4) != e2
| ( op(e1,e2) = e4
& e2 != unit ) )
& ( op(e2,e0) != e2
| ( op(e2,e2) = e0
& e2 != unit ) )
& ( op(e2,e1) != e2
| ( op(e2,e2) = e1
& e2 != unit ) )
& ( op(e2,e2) != e2
| ( op(e2,e2) = e2
& e2 != unit ) )
& ( op(e2,e3) != e2
| ( op(e2,e2) = e3
& e2 != unit ) )
& ( op(e2,e4) != e2
| ( op(e2,e2) = e4
& e2 != unit ) )
& ( op(e3,e0) != e2
| ( op(e3,e2) = e0
& e2 != unit ) )
& ( op(e3,e1) != e2
| ( op(e3,e2) = e1
& e2 != unit ) )
& ( op(e3,e2) != e2
| ( op(e3,e2) = e2
& e2 != unit ) )
& ( op(e3,e3) != e2
| ( op(e3,e2) = e3
& e2 != unit ) )
& ( op(e3,e4) != e2
| ( op(e3,e2) = e4
& e2 != unit ) )
& ( op(e4,e0) != e2
| ( op(e4,e2) = e0
& e2 != unit ) )
& ( op(e4,e1) != e2
| ( op(e4,e2) = e1
& e2 != unit ) )
& ( op(e4,e2) != e2
| ( op(e4,e2) = e2
& e2 != unit ) )
& ( op(e4,e3) != e2
| ( op(e4,e2) = e3
& e2 != unit ) )
& ( op(e4,e4) != e2
| ( op(e4,e2) = e4
& e2 != unit ) ) ) ) ),
introduced(predicate_definition,[f301]) ).
fof(f303,plain,
( ~ pd0_5
| pd0_11
| ( ( op(e0,e0) != e3
| ( op(e0,e3) = e0
& e3 != unit ) )
& ( op(e0,e1) != e3
| ( op(e0,e3) = e1
& e3 != unit ) )
& ( op(e0,e2) != e3
| ( op(e0,e3) = e2
& e3 != unit ) )
& ( op(e0,e3) != e3
| ( op(e0,e3) = e3
& e3 != unit ) )
& ( op(e0,e4) != e3
| ( op(e0,e3) = e4
& e3 != unit ) )
& ( op(e1,e0) != e3
| ( op(e1,e3) = e0
& e3 != unit ) )
& ( op(e1,e1) != e3
| ( op(e1,e3) = e1
& e3 != unit ) )
& ( op(e1,e2) != e3
| ( op(e1,e3) = e2
& e3 != unit ) )
& ( op(e1,e3) != e3
| ( op(e1,e3) = e3
& e3 != unit ) )
& ( op(e1,e4) != e3
| ( op(e1,e3) = e4
& e3 != unit ) )
& ( op(e2,e0) != e3
| ( op(e2,e3) = e0
& e3 != unit ) )
& ( op(e2,e1) != e3
| ( op(e2,e3) = e1
& e3 != unit ) )
& ( op(e2,e2) != e3
| ( op(e2,e3) = e2
& e3 != unit ) )
& ( op(e2,e3) != e3
| ( op(e2,e3) = e3
& e3 != unit ) )
& ( op(e2,e4) != e3
| ( op(e2,e3) = e4
& e3 != unit ) )
& ( op(e3,e0) != e3
| ( op(e3,e3) = e0
& e3 != unit ) )
& ( op(e3,e1) != e3
| ( op(e3,e3) = e1
& e3 != unit ) )
& ( op(e3,e2) != e3
| ( op(e3,e3) = e2
& e3 != unit ) )
& ( op(e3,e3) != e3
| ( op(e3,e3) = e3
& e3 != unit ) )
& ( op(e3,e4) != e3
| ( op(e3,e3) = e4
& e3 != unit ) )
& ( op(e4,e0) != e3
| ( op(e4,e3) = e0
& e3 != unit ) )
& ( op(e4,e1) != e3
| ( op(e4,e3) = e1
& e3 != unit ) )
& ( op(e4,e2) != e3
| ( op(e4,e3) = e2
& e3 != unit ) )
& ( op(e4,e3) != e3
| ( op(e4,e3) = e3
& e3 != unit ) )
& ( op(e4,e4) != e3
| ( op(e4,e3) = e4
& e3 != unit ) ) ) ),
inference(formula_renaming,[status(thm)],[f301,f302]) ).
fof(f332,plain,
( ~ pd0_5
| pd0_11
| op(e2,e4) != e3
| op(e2,e3) = e4 ),
inference(cnf_transformation,[status(esa)],[f303]) ).
fof(f359,plain,
( ~ pd0_7
| ( 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 ) ),
inference(pre_NNF_transformation,[status(esa)],[f282]) ).
fof(f360,plain,
( pd0_13
=> ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 ) ) ),
introduced(predicate_definition,[f359]) ).
fof(f361,plain,
( ~ pd0_7
| pd0_13
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 ) ),
inference(formula_renaming,[status(thm)],[f359,f360]) ).
fof(f362,plain,
( ~ pd0_7
| pd0_13
| op(e2,op(e2,e1)) != e1 ),
inference(cnf_transformation,[status(esa)],[f361]) ).
fof(f363,plain,
( ~ pd0_7
| pd0_13
| op(e1,op(e2,e1)) = e2 ),
inference(cnf_transformation,[status(esa)],[f361]) ).
fof(f364,plain,
( ~ pd0_8
| ( 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 ) ),
inference(pre_NNF_transformation,[status(esa)],[f287]) ).
fof(f365,plain,
( pd0_14
=> ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 ) ) ),
introduced(predicate_definition,[f364]) ).
fof(f366,plain,
( ~ pd0_8
| pd0_14
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 ) ),
inference(formula_renaming,[status(thm)],[f364,f365]) ).
fof(f367,plain,
( ~ pd0_8
| pd0_14
| op(e2,op(e2,e2)) != e2 ),
inference(cnf_transformation,[status(esa)],[f366]) ).
fof(f368,plain,
( ~ pd0_8
| pd0_14
| op(e2,op(e2,e2)) = e2 ),
inference(cnf_transformation,[status(esa)],[f366]) ).
fof(f374,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)],[f297]) ).
fof(f375,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,[f374]) ).
fof(f376,plain,
( ~ pd0_10
| pd0_16
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 ) ),
inference(formula_renaming,[status(thm)],[f374,f375]) ).
fof(f378,plain,
( ~ pd0_10
| pd0_16
| op(e4,op(e2,e4)) = e2 ),
inference(cnf_transformation,[status(esa)],[f376]) ).
fof(f379,plain,
( ~ pd0_11
| ( ( op(e0,e0) != e0
| ( op(e0,e0) = e0
& e0 != unit ) )
& ( op(e0,e1) != e0
| ( op(e0,e0) = e1
& e0 != unit ) )
& ( op(e0,e2) != e0
| ( op(e0,e0) = e2
& e0 != unit ) )
& ( op(e0,e3) != e0
| ( op(e0,e0) = e3
& e0 != unit ) )
& ( op(e0,e4) != e0
| ( op(e0,e0) = e4
& e0 != unit ) )
& ( op(e1,e0) != e0
| ( op(e1,e0) = e0
& e0 != unit ) )
& ( op(e1,e1) != e0
| ( op(e1,e0) = e1
& e0 != unit ) )
& ( op(e1,e2) != e0
| ( op(e1,e0) = e2
& e0 != unit ) )
& ( op(e1,e3) != e0
| ( op(e1,e0) = e3
& e0 != unit ) )
& ( op(e1,e4) != e0
| ( op(e1,e0) = e4
& e0 != unit ) )
& ( op(e2,e0) != e0
| ( op(e2,e0) = e0
& e0 != unit ) )
& ( op(e2,e1) != e0
| ( op(e2,e0) = e1
& e0 != unit ) )
& ( op(e2,e2) != e0
| ( op(e2,e0) = e2
& e0 != unit ) )
& ( op(e2,e3) != e0
| ( op(e2,e0) = e3
& e0 != unit ) )
& ( op(e2,e4) != e0
| ( op(e2,e0) = e4
& e0 != unit ) )
& ( op(e3,e0) != e0
| ( op(e3,e0) = e0
& e0 != unit ) )
& ( op(e3,e1) != e0
| ( op(e3,e0) = e1
& e0 != unit ) )
& ( op(e3,e2) != e0
| ( op(e3,e0) = e2
& e0 != unit ) )
& ( op(e3,e3) != e0
| ( op(e3,e0) = e3
& e0 != unit ) )
& ( op(e3,e4) != e0
| ( op(e3,e0) = e4
& e0 != unit ) )
& ( op(e4,e0) != e0
| ( op(e4,e0) = e0
& e0 != unit ) )
& ( op(e4,e1) != e0
| ( op(e4,e0) = e1
& e0 != unit ) )
& ( op(e4,e2) != e0
| ( op(e4,e0) = e2
& e0 != unit ) )
& ( op(e4,e3) != e0
| ( op(e4,e0) = e3
& e0 != unit ) )
& ( op(e4,e4) != e0
| ( op(e4,e0) = e4
& e0 != unit ) ) )
| ( ( op(e0,e0) != e1
| ( op(e0,e1) = e0
& e1 != unit ) )
& ( op(e0,e1) != e1
| ( op(e0,e1) = e1
& e1 != unit ) )
& ( op(e0,e2) != e1
| ( op(e0,e1) = e2
& e1 != unit ) )
& ( op(e0,e3) != e1
| ( op(e0,e1) = e3
& e1 != unit ) )
& ( op(e0,e4) != e1
| ( op(e0,e1) = e4
& e1 != unit ) )
& ( op(e1,e0) != e1
| ( op(e1,e1) = e0
& e1 != unit ) )
& ( op(e1,e1) != e1
| ( op(e1,e1) = e1
& e1 != unit ) )
& ( op(e1,e2) != e1
| ( op(e1,e1) = e2
& e1 != unit ) )
& ( op(e1,e3) != e1
| ( op(e1,e1) = e3
& e1 != unit ) )
& ( op(e1,e4) != e1
| ( op(e1,e1) = e4
& e1 != unit ) )
& ( op(e2,e0) != e1
| ( op(e2,e1) = e0
& e1 != unit ) )
& ( op(e2,e1) != e1
| ( op(e2,e1) = e1
& e1 != unit ) )
& ( op(e2,e2) != e1
| ( op(e2,e1) = e2
& e1 != unit ) )
& ( op(e2,e3) != e1
| ( op(e2,e1) = e3
& e1 != unit ) )
& ( op(e2,e4) != e1
| ( op(e2,e1) = e4
& e1 != unit ) )
& ( op(e3,e0) != e1
| ( op(e3,e1) = e0
& e1 != unit ) )
& ( op(e3,e1) != e1
| ( op(e3,e1) = e1
& e1 != unit ) )
& ( op(e3,e2) != e1
| ( op(e3,e1) = e2
& e1 != unit ) )
& ( op(e3,e3) != e1
| ( op(e3,e1) = e3
& e1 != unit ) )
& ( op(e3,e4) != e1
| ( op(e3,e1) = e4
& e1 != unit ) )
& ( op(e4,e0) != e1
| ( op(e4,e1) = e0
& e1 != unit ) )
& ( op(e4,e1) != e1
| ( op(e4,e1) = e1
& e1 != unit ) )
& ( op(e4,e2) != e1
| ( op(e4,e1) = e2
& e1 != unit ) )
& ( op(e4,e3) != e1
| ( op(e4,e1) = e3
& e1 != unit ) )
& ( op(e4,e4) != e1
| ( op(e4,e1) = e4
& e1 != unit ) ) )
| ( ( op(e0,e0) != e2
| ( op(e0,e2) = e0
& e2 != unit ) )
& ( op(e0,e1) != e2
| ( op(e0,e2) = e1
& e2 != unit ) )
& ( op(e0,e2) != e2
| ( op(e0,e2) = e2
& e2 != unit ) )
& ( op(e0,e3) != e2
| ( op(e0,e2) = e3
& e2 != unit ) )
& ( op(e0,e4) != e2
| ( op(e0,e2) = e4
& e2 != unit ) )
& ( op(e1,e0) != e2
| ( op(e1,e2) = e0
& e2 != unit ) )
& ( op(e1,e1) != e2
| ( op(e1,e2) = e1
& e2 != unit ) )
& ( op(e1,e2) != e2
| ( op(e1,e2) = e2
& e2 != unit ) )
& ( op(e1,e3) != e2
| ( op(e1,e2) = e3
& e2 != unit ) )
& ( op(e1,e4) != e2
| ( op(e1,e2) = e4
& e2 != unit ) )
& ( op(e2,e0) != e2
| ( op(e2,e2) = e0
& e2 != unit ) )
& ( op(e2,e1) != e2
| ( op(e2,e2) = e1
& e2 != unit ) )
& ( op(e2,e2) != e2
| ( op(e2,e2) = e2
& e2 != unit ) )
& ( op(e2,e3) != e2
| ( op(e2,e2) = e3
& e2 != unit ) )
& ( op(e2,e4) != e2
| ( op(e2,e2) = e4
& e2 != unit ) )
& ( op(e3,e0) != e2
| ( op(e3,e2) = e0
& e2 != unit ) )
& ( op(e3,e1) != e2
| ( op(e3,e2) = e1
& e2 != unit ) )
& ( op(e3,e2) != e2
| ( op(e3,e2) = e2
& e2 != unit ) )
& ( op(e3,e3) != e2
| ( op(e3,e2) = e3
& e2 != unit ) )
& ( op(e3,e4) != e2
| ( op(e3,e2) = e4
& e2 != unit ) )
& ( op(e4,e0) != e2
| ( op(e4,e2) = e0
& e2 != unit ) )
& ( op(e4,e1) != e2
| ( op(e4,e2) = e1
& e2 != unit ) )
& ( op(e4,e2) != e2
| ( op(e4,e2) = e2
& e2 != unit ) )
& ( op(e4,e3) != e2
| ( op(e4,e2) = e3
& e2 != unit ) )
& ( op(e4,e4) != e2
| ( op(e4,e2) = e4
& e2 != unit ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f302]) ).
fof(f380,plain,
( pd0_17
=> ( ( ( op(e0,e0) != e0
| ( op(e0,e0) = e0
& e0 != unit ) )
& ( op(e0,e1) != e0
| ( op(e0,e0) = e1
& e0 != unit ) )
& ( op(e0,e2) != e0
| ( op(e0,e0) = e2
& e0 != unit ) )
& ( op(e0,e3) != e0
| ( op(e0,e0) = e3
& e0 != unit ) )
& ( op(e0,e4) != e0
| ( op(e0,e0) = e4
& e0 != unit ) )
& ( op(e1,e0) != e0
| ( op(e1,e0) = e0
& e0 != unit ) )
& ( op(e1,e1) != e0
| ( op(e1,e0) = e1
& e0 != unit ) )
& ( op(e1,e2) != e0
| ( op(e1,e0) = e2
& e0 != unit ) )
& ( op(e1,e3) != e0
| ( op(e1,e0) = e3
& e0 != unit ) )
& ( op(e1,e4) != e0
| ( op(e1,e0) = e4
& e0 != unit ) )
& ( op(e2,e0) != e0
| ( op(e2,e0) = e0
& e0 != unit ) )
& ( op(e2,e1) != e0
| ( op(e2,e0) = e1
& e0 != unit ) )
& ( op(e2,e2) != e0
| ( op(e2,e0) = e2
& e0 != unit ) )
& ( op(e2,e3) != e0
| ( op(e2,e0) = e3
& e0 != unit ) )
& ( op(e2,e4) != e0
| ( op(e2,e0) = e4
& e0 != unit ) )
& ( op(e3,e0) != e0
| ( op(e3,e0) = e0
& e0 != unit ) )
& ( op(e3,e1) != e0
| ( op(e3,e0) = e1
& e0 != unit ) )
& ( op(e3,e2) != e0
| ( op(e3,e0) = e2
& e0 != unit ) )
& ( op(e3,e3) != e0
| ( op(e3,e0) = e3
& e0 != unit ) )
& ( op(e3,e4) != e0
| ( op(e3,e0) = e4
& e0 != unit ) )
& ( op(e4,e0) != e0
| ( op(e4,e0) = e0
& e0 != unit ) )
& ( op(e4,e1) != e0
| ( op(e4,e0) = e1
& e0 != unit ) )
& ( op(e4,e2) != e0
| ( op(e4,e0) = e2
& e0 != unit ) )
& ( op(e4,e3) != e0
| ( op(e4,e0) = e3
& e0 != unit ) )
& ( op(e4,e4) != e0
| ( op(e4,e0) = e4
& e0 != unit ) ) )
| ( ( op(e0,e0) != e1
| ( op(e0,e1) = e0
& e1 != unit ) )
& ( op(e0,e1) != e1
| ( op(e0,e1) = e1
& e1 != unit ) )
& ( op(e0,e2) != e1
| ( op(e0,e1) = e2
& e1 != unit ) )
& ( op(e0,e3) != e1
| ( op(e0,e1) = e3
& e1 != unit ) )
& ( op(e0,e4) != e1
| ( op(e0,e1) = e4
& e1 != unit ) )
& ( op(e1,e0) != e1
| ( op(e1,e1) = e0
& e1 != unit ) )
& ( op(e1,e1) != e1
| ( op(e1,e1) = e1
& e1 != unit ) )
& ( op(e1,e2) != e1
| ( op(e1,e1) = e2
& e1 != unit ) )
& ( op(e1,e3) != e1
| ( op(e1,e1) = e3
& e1 != unit ) )
& ( op(e1,e4) != e1
| ( op(e1,e1) = e4
& e1 != unit ) )
& ( op(e2,e0) != e1
| ( op(e2,e1) = e0
& e1 != unit ) )
& ( op(e2,e1) != e1
| ( op(e2,e1) = e1
& e1 != unit ) )
& ( op(e2,e2) != e1
| ( op(e2,e1) = e2
& e1 != unit ) )
& ( op(e2,e3) != e1
| ( op(e2,e1) = e3
& e1 != unit ) )
& ( op(e2,e4) != e1
| ( op(e2,e1) = e4
& e1 != unit ) )
& ( op(e3,e0) != e1
| ( op(e3,e1) = e0
& e1 != unit ) )
& ( op(e3,e1) != e1
| ( op(e3,e1) = e1
& e1 != unit ) )
& ( op(e3,e2) != e1
| ( op(e3,e1) = e2
& e1 != unit ) )
& ( op(e3,e3) != e1
| ( op(e3,e1) = e3
& e1 != unit ) )
& ( op(e3,e4) != e1
| ( op(e3,e1) = e4
& e1 != unit ) )
& ( op(e4,e0) != e1
| ( op(e4,e1) = e0
& e1 != unit ) )
& ( op(e4,e1) != e1
| ( op(e4,e1) = e1
& e1 != unit ) )
& ( op(e4,e2) != e1
| ( op(e4,e1) = e2
& e1 != unit ) )
& ( op(e4,e3) != e1
| ( op(e4,e1) = e3
& e1 != unit ) )
& ( op(e4,e4) != e1
| ( op(e4,e1) = e4
& e1 != unit ) ) ) ) ),
introduced(predicate_definition,[f379]) ).
fof(f381,plain,
( ~ pd0_11
| pd0_17
| ( ( op(e0,e0) != e2
| ( op(e0,e2) = e0
& e2 != unit ) )
& ( op(e0,e1) != e2
| ( op(e0,e2) = e1
& e2 != unit ) )
& ( op(e0,e2) != e2
| ( op(e0,e2) = e2
& e2 != unit ) )
& ( op(e0,e3) != e2
| ( op(e0,e2) = e3
& e2 != unit ) )
& ( op(e0,e4) != e2
| ( op(e0,e2) = e4
& e2 != unit ) )
& ( op(e1,e0) != e2
| ( op(e1,e2) = e0
& e2 != unit ) )
& ( op(e1,e1) != e2
| ( op(e1,e2) = e1
& e2 != unit ) )
& ( op(e1,e2) != e2
| ( op(e1,e2) = e2
& e2 != unit ) )
& ( op(e1,e3) != e2
| ( op(e1,e2) = e3
& e2 != unit ) )
& ( op(e1,e4) != e2
| ( op(e1,e2) = e4
& e2 != unit ) )
& ( op(e2,e0) != e2
| ( op(e2,e2) = e0
& e2 != unit ) )
& ( op(e2,e1) != e2
| ( op(e2,e2) = e1
& e2 != unit ) )
& ( op(e2,e2) != e2
| ( op(e2,e2) = e2
& e2 != unit ) )
& ( op(e2,e3) != e2
| ( op(e2,e2) = e3
& e2 != unit ) )
& ( op(e2,e4) != e2
| ( op(e2,e2) = e4
& e2 != unit ) )
& ( op(e3,e0) != e2
| ( op(e3,e2) = e0
& e2 != unit ) )
& ( op(e3,e1) != e2
| ( op(e3,e2) = e1
& e2 != unit ) )
& ( op(e3,e2) != e2
| ( op(e3,e2) = e2
& e2 != unit ) )
& ( op(e3,e3) != e2
| ( op(e3,e2) = e3
& e2 != unit ) )
& ( op(e3,e4) != e2
| ( op(e3,e2) = e4
& e2 != unit ) )
& ( op(e4,e0) != e2
| ( op(e4,e2) = e0
& e2 != unit ) )
& ( op(e4,e1) != e2
| ( op(e4,e2) = e1
& e2 != unit ) )
& ( op(e4,e2) != e2
| ( op(e4,e2) = e2
& e2 != unit ) )
& ( op(e4,e3) != e2
| ( op(e4,e2) = e3
& e2 != unit ) )
& ( op(e4,e4) != e2
| ( op(e4,e2) = e4
& e2 != unit ) ) ) ),
inference(formula_renaming,[status(thm)],[f379,f380]) ).
fof(f390,plain,
( ~ pd0_11
| pd0_17
| op(e0,e4) != e2
| op(e0,e2) = e4 ),
inference(cnf_transformation,[status(esa)],[f381]) ).
fof(f400,plain,
( ~ pd0_11
| pd0_17
| op(e1,e4) != e2
| op(e1,e2) = e4 ),
inference(cnf_transformation,[status(esa)],[f381]) ).
fof(f437,plain,
( ~ pd0_13
| ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 ) ),
inference(pre_NNF_transformation,[status(esa)],[f360]) ).
fof(f438,plain,
( pd0_19
=> ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 ) ),
introduced(predicate_definition,[f437]) ).
fof(f439,plain,
( ~ pd0_13
| pd0_19
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 ) ),
inference(formula_renaming,[status(thm)],[f437,f438]) ).
fof(f440,plain,
( ~ pd0_13
| pd0_19
| op(e1,op(e1,e1)) != e1 ),
inference(cnf_transformation,[status(esa)],[f439]) ).
fof(f441,plain,
( ~ pd0_13
| pd0_19
| op(e1,op(e1,e1)) = e1 ),
inference(cnf_transformation,[status(esa)],[f439]) ).
fof(f442,plain,
( ~ pd0_14
| ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 ) ),
inference(pre_NNF_transformation,[status(esa)],[f365]) ).
fof(f443,plain,
( pd0_20
=> ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 ) ),
introduced(predicate_definition,[f442]) ).
fof(f444,plain,
( ~ pd0_14
| pd0_20
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 ) ),
inference(formula_renaming,[status(thm)],[f442,f443]) ).
fof(f445,plain,
( ~ pd0_14
| pd0_20
| op(e1,op(e1,e2)) != e2 ),
inference(cnf_transformation,[status(esa)],[f444]) ).
fof(f446,plain,
( ~ pd0_14
| pd0_20
| op(e2,op(e1,e2)) = e1 ),
inference(cnf_transformation,[status(esa)],[f444]) ).
fof(f452,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)],[f375]) ).
fof(f453,plain,
( pd0_22
=> ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 ) ),
introduced(predicate_definition,[f452]) ).
fof(f454,plain,
( ~ pd0_16
| pd0_22
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 ) ),
inference(formula_renaming,[status(thm)],[f452,f453]) ).
fof(f455,plain,
( ~ pd0_16
| pd0_22
| op(e1,op(e1,e4)) != e4 ),
inference(cnf_transformation,[status(esa)],[f454]) ).
fof(f456,plain,
( ~ pd0_16
| pd0_22
| op(e4,op(e1,e4)) = e1 ),
inference(cnf_transformation,[status(esa)],[f454]) ).
fof(f457,plain,
( ~ pd0_17
| ( ( op(e0,e0) != e0
| ( op(e0,e0) = e0
& e0 != unit ) )
& ( op(e0,e1) != e0
| ( op(e0,e0) = e1
& e0 != unit ) )
& ( op(e0,e2) != e0
| ( op(e0,e0) = e2
& e0 != unit ) )
& ( op(e0,e3) != e0
| ( op(e0,e0) = e3
& e0 != unit ) )
& ( op(e0,e4) != e0
| ( op(e0,e0) = e4
& e0 != unit ) )
& ( op(e1,e0) != e0
| ( op(e1,e0) = e0
& e0 != unit ) )
& ( op(e1,e1) != e0
| ( op(e1,e0) = e1
& e0 != unit ) )
& ( op(e1,e2) != e0
| ( op(e1,e0) = e2
& e0 != unit ) )
& ( op(e1,e3) != e0
| ( op(e1,e0) = e3
& e0 != unit ) )
& ( op(e1,e4) != e0
| ( op(e1,e0) = e4
& e0 != unit ) )
& ( op(e2,e0) != e0
| ( op(e2,e0) = e0
& e0 != unit ) )
& ( op(e2,e1) != e0
| ( op(e2,e0) = e1
& e0 != unit ) )
& ( op(e2,e2) != e0
| ( op(e2,e0) = e2
& e0 != unit ) )
& ( op(e2,e3) != e0
| ( op(e2,e0) = e3
& e0 != unit ) )
& ( op(e2,e4) != e0
| ( op(e2,e0) = e4
& e0 != unit ) )
& ( op(e3,e0) != e0
| ( op(e3,e0) = e0
& e0 != unit ) )
& ( op(e3,e1) != e0
| ( op(e3,e0) = e1
& e0 != unit ) )
& ( op(e3,e2) != e0
| ( op(e3,e0) = e2
& e0 != unit ) )
& ( op(e3,e3) != e0
| ( op(e3,e0) = e3
& e0 != unit ) )
& ( op(e3,e4) != e0
| ( op(e3,e0) = e4
& e0 != unit ) )
& ( op(e4,e0) != e0
| ( op(e4,e0) = e0
& e0 != unit ) )
& ( op(e4,e1) != e0
| ( op(e4,e0) = e1
& e0 != unit ) )
& ( op(e4,e2) != e0
| ( op(e4,e0) = e2
& e0 != unit ) )
& ( op(e4,e3) != e0
| ( op(e4,e0) = e3
& e0 != unit ) )
& ( op(e4,e4) != e0
| ( op(e4,e0) = e4
& e0 != unit ) ) )
| ( ( op(e0,e0) != e1
| ( op(e0,e1) = e0
& e1 != unit ) )
& ( op(e0,e1) != e1
| ( op(e0,e1) = e1
& e1 != unit ) )
& ( op(e0,e2) != e1
| ( op(e0,e1) = e2
& e1 != unit ) )
& ( op(e0,e3) != e1
| ( op(e0,e1) = e3
& e1 != unit ) )
& ( op(e0,e4) != e1
| ( op(e0,e1) = e4
& e1 != unit ) )
& ( op(e1,e0) != e1
| ( op(e1,e1) = e0
& e1 != unit ) )
& ( op(e1,e1) != e1
| ( op(e1,e1) = e1
& e1 != unit ) )
& ( op(e1,e2) != e1
| ( op(e1,e1) = e2
& e1 != unit ) )
& ( op(e1,e3) != e1
| ( op(e1,e1) = e3
& e1 != unit ) )
& ( op(e1,e4) != e1
| ( op(e1,e1) = e4
& e1 != unit ) )
& ( op(e2,e0) != e1
| ( op(e2,e1) = e0
& e1 != unit ) )
& ( op(e2,e1) != e1
| ( op(e2,e1) = e1
& e1 != unit ) )
& ( op(e2,e2) != e1
| ( op(e2,e1) = e2
& e1 != unit ) )
& ( op(e2,e3) != e1
| ( op(e2,e1) = e3
& e1 != unit ) )
& ( op(e2,e4) != e1
| ( op(e2,e1) = e4
& e1 != unit ) )
& ( op(e3,e0) != e1
| ( op(e3,e1) = e0
& e1 != unit ) )
& ( op(e3,e1) != e1
| ( op(e3,e1) = e1
& e1 != unit ) )
& ( op(e3,e2) != e1
| ( op(e3,e1) = e2
& e1 != unit ) )
& ( op(e3,e3) != e1
| ( op(e3,e1) = e3
& e1 != unit ) )
& ( op(e3,e4) != e1
| ( op(e3,e1) = e4
& e1 != unit ) )
& ( op(e4,e0) != e1
| ( op(e4,e1) = e0
& e1 != unit ) )
& ( op(e4,e1) != e1
| ( op(e4,e1) = e1
& e1 != unit ) )
& ( op(e4,e2) != e1
| ( op(e4,e1) = e2
& e1 != unit ) )
& ( op(e4,e3) != e1
| ( op(e4,e1) = e3
& e1 != unit ) )
& ( op(e4,e4) != e1
| ( op(e4,e1) = e4
& e1 != unit ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f380]) ).
fof(f458,plain,
( pd0_23
=> ( ( op(e0,e0) != e0
| ( op(e0,e0) = e0
& e0 != unit ) )
& ( op(e0,e1) != e0
| ( op(e0,e0) = e1
& e0 != unit ) )
& ( op(e0,e2) != e0
| ( op(e0,e0) = e2
& e0 != unit ) )
& ( op(e0,e3) != e0
| ( op(e0,e0) = e3
& e0 != unit ) )
& ( op(e0,e4) != e0
| ( op(e0,e0) = e4
& e0 != unit ) )
& ( op(e1,e0) != e0
| ( op(e1,e0) = e0
& e0 != unit ) )
& ( op(e1,e1) != e0
| ( op(e1,e0) = e1
& e0 != unit ) )
& ( op(e1,e2) != e0
| ( op(e1,e0) = e2
& e0 != unit ) )
& ( op(e1,e3) != e0
| ( op(e1,e0) = e3
& e0 != unit ) )
& ( op(e1,e4) != e0
| ( op(e1,e0) = e4
& e0 != unit ) )
& ( op(e2,e0) != e0
| ( op(e2,e0) = e0
& e0 != unit ) )
& ( op(e2,e1) != e0
| ( op(e2,e0) = e1
& e0 != unit ) )
& ( op(e2,e2) != e0
| ( op(e2,e0) = e2
& e0 != unit ) )
& ( op(e2,e3) != e0
| ( op(e2,e0) = e3
& e0 != unit ) )
& ( op(e2,e4) != e0
| ( op(e2,e0) = e4
& e0 != unit ) )
& ( op(e3,e0) != e0
| ( op(e3,e0) = e0
& e0 != unit ) )
& ( op(e3,e1) != e0
| ( op(e3,e0) = e1
& e0 != unit ) )
& ( op(e3,e2) != e0
| ( op(e3,e0) = e2
& e0 != unit ) )
& ( op(e3,e3) != e0
| ( op(e3,e0) = e3
& e0 != unit ) )
& ( op(e3,e4) != e0
| ( op(e3,e0) = e4
& e0 != unit ) )
& ( op(e4,e0) != e0
| ( op(e4,e0) = e0
& e0 != unit ) )
& ( op(e4,e1) != e0
| ( op(e4,e0) = e1
& e0 != unit ) )
& ( op(e4,e2) != e0
| ( op(e4,e0) = e2
& e0 != unit ) )
& ( op(e4,e3) != e0
| ( op(e4,e0) = e3
& e0 != unit ) )
& ( op(e4,e4) != e0
| ( op(e4,e0) = e4
& e0 != unit ) ) ) ),
introduced(predicate_definition,[f457]) ).
fof(f459,plain,
( ~ pd0_17
| pd0_23
| ( ( op(e0,e0) != e1
| ( op(e0,e1) = e0
& e1 != unit ) )
& ( op(e0,e1) != e1
| ( op(e0,e1) = e1
& e1 != unit ) )
& ( op(e0,e2) != e1
| ( op(e0,e1) = e2
& e1 != unit ) )
& ( op(e0,e3) != e1
| ( op(e0,e1) = e3
& e1 != unit ) )
& ( op(e0,e4) != e1
| ( op(e0,e1) = e4
& e1 != unit ) )
& ( op(e1,e0) != e1
| ( op(e1,e1) = e0
& e1 != unit ) )
& ( op(e1,e1) != e1
| ( op(e1,e1) = e1
& e1 != unit ) )
& ( op(e1,e2) != e1
| ( op(e1,e1) = e2
& e1 != unit ) )
& ( op(e1,e3) != e1
| ( op(e1,e1) = e3
& e1 != unit ) )
& ( op(e1,e4) != e1
| ( op(e1,e1) = e4
& e1 != unit ) )
& ( op(e2,e0) != e1
| ( op(e2,e1) = e0
& e1 != unit ) )
& ( op(e2,e1) != e1
| ( op(e2,e1) = e1
& e1 != unit ) )
& ( op(e2,e2) != e1
| ( op(e2,e1) = e2
& e1 != unit ) )
& ( op(e2,e3) != e1
| ( op(e2,e1) = e3
& e1 != unit ) )
& ( op(e2,e4) != e1
| ( op(e2,e1) = e4
& e1 != unit ) )
& ( op(e3,e0) != e1
| ( op(e3,e1) = e0
& e1 != unit ) )
& ( op(e3,e1) != e1
| ( op(e3,e1) = e1
& e1 != unit ) )
& ( op(e3,e2) != e1
| ( op(e3,e1) = e2
& e1 != unit ) )
& ( op(e3,e3) != e1
| ( op(e3,e1) = e3
& e1 != unit ) )
& ( op(e3,e4) != e1
| ( op(e3,e1) = e4
& e1 != unit ) )
& ( op(e4,e0) != e1
| ( op(e4,e1) = e0
& e1 != unit ) )
& ( op(e4,e1) != e1
| ( op(e4,e1) = e1
& e1 != unit ) )
& ( op(e4,e2) != e1
| ( op(e4,e1) = e2
& e1 != unit ) )
& ( op(e4,e3) != e1
| ( op(e4,e1) = e3
& e1 != unit ) )
& ( op(e4,e4) != e1
| ( op(e4,e1) = e4
& e1 != unit ) ) ) ),
inference(formula_renaming,[status(thm)],[f457,f458]) ).
fof(f464,plain,
( ~ pd0_17
| pd0_23
| op(e0,e2) != e1
| op(e0,e1) = e2 ),
inference(cnf_transformation,[status(esa)],[f459]) ).
fof(f465,plain,
( ~ pd0_17
| pd0_23
| op(e0,e2) != e1
| e1 != unit ),
inference(cnf_transformation,[status(esa)],[f459]) ).
fof(f470,plain,
( ~ pd0_17
| pd0_23
| op(e1,e0) != e1
| op(e1,e1) = e0 ),
inference(cnf_transformation,[status(esa)],[f459]) ).
fof(f480,plain,
( ~ pd0_17
| pd0_23
| op(e2,e0) != e1
| op(e2,e1) = e0 ),
inference(cnf_transformation,[status(esa)],[f459]) ).
fof(f483,plain,
( ~ pd0_17
| pd0_23
| op(e2,e1) != e1
| e1 != unit ),
inference(cnf_transformation,[status(esa)],[f459]) ).
fof(f486,plain,
( ~ pd0_17
| pd0_23
| op(e2,e3) != e1
| op(e2,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f459]) ).
fof(f498,plain,
( ~ pd0_17
| pd0_23
| op(e3,e4) != e1
| op(e3,e1) = e4 ),
inference(cnf_transformation,[status(esa)],[f459]) ).
fof(f499,plain,
( ~ pd0_17
| pd0_23
| op(e3,e4) != e1
| e1 != unit ),
inference(cnf_transformation,[status(esa)],[f459]) ).
fof(f500,plain,
( ~ pd0_17
| pd0_23
| op(e4,e0) != e1
| op(e4,e1) = e0 ),
inference(cnf_transformation,[status(esa)],[f459]) ).
fof(f506,plain,
( ~ pd0_17
| pd0_23
| op(e4,e3) != e1
| op(e4,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f459]) ).
fof(f513,plain,
( ~ pd0_19
| ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 ) ),
inference(pre_NNF_transformation,[status(esa)],[f438]) ).
fof(f514,plain,
( ~ pd0_19
| op(e0,op(e0,e1)) != e1 ),
inference(cnf_transformation,[status(esa)],[f513]) ).
fof(f515,plain,
( ~ pd0_19
| op(e1,op(e0,e1)) = e0 ),
inference(cnf_transformation,[status(esa)],[f513]) ).
fof(f516,plain,
( ~ pd0_20
| ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 ) ),
inference(pre_NNF_transformation,[status(esa)],[f443]) ).
fof(f518,plain,
( ~ pd0_20
| op(e2,op(e0,e2)) = e0 ),
inference(cnf_transformation,[status(esa)],[f516]) ).
fof(f522,plain,
( ~ pd0_22
| ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 ) ),
inference(pre_NNF_transformation,[status(esa)],[f453]) ).
fof(f523,plain,
( ~ pd0_22
| op(e0,op(e0,e4)) != e4 ),
inference(cnf_transformation,[status(esa)],[f522]) ).
fof(f524,plain,
( ~ pd0_22
| op(e4,op(e0,e4)) = e0 ),
inference(cnf_transformation,[status(esa)],[f522]) ).
fof(f525,plain,
( ~ pd0_23
| ( ( op(e0,e0) != e0
| ( op(e0,e0) = e0
& e0 != unit ) )
& ( op(e0,e1) != e0
| ( op(e0,e0) = e1
& e0 != unit ) )
& ( op(e0,e2) != e0
| ( op(e0,e0) = e2
& e0 != unit ) )
& ( op(e0,e3) != e0
| ( op(e0,e0) = e3
& e0 != unit ) )
& ( op(e0,e4) != e0
| ( op(e0,e0) = e4
& e0 != unit ) )
& ( op(e1,e0) != e0
| ( op(e1,e0) = e0
& e0 != unit ) )
& ( op(e1,e1) != e0
| ( op(e1,e0) = e1
& e0 != unit ) )
& ( op(e1,e2) != e0
| ( op(e1,e0) = e2
& e0 != unit ) )
& ( op(e1,e3) != e0
| ( op(e1,e0) = e3
& e0 != unit ) )
& ( op(e1,e4) != e0
| ( op(e1,e0) = e4
& e0 != unit ) )
& ( op(e2,e0) != e0
| ( op(e2,e0) = e0
& e0 != unit ) )
& ( op(e2,e1) != e0
| ( op(e2,e0) = e1
& e0 != unit ) )
& ( op(e2,e2) != e0
| ( op(e2,e0) = e2
& e0 != unit ) )
& ( op(e2,e3) != e0
| ( op(e2,e0) = e3
& e0 != unit ) )
& ( op(e2,e4) != e0
| ( op(e2,e0) = e4
& e0 != unit ) )
& ( op(e3,e0) != e0
| ( op(e3,e0) = e0
& e0 != unit ) )
& ( op(e3,e1) != e0
| ( op(e3,e0) = e1
& e0 != unit ) )
& ( op(e3,e2) != e0
| ( op(e3,e0) = e2
& e0 != unit ) )
& ( op(e3,e3) != e0
| ( op(e3,e0) = e3
& e0 != unit ) )
& ( op(e3,e4) != e0
| ( op(e3,e0) = e4
& e0 != unit ) )
& ( op(e4,e0) != e0
| ( op(e4,e0) = e0
& e0 != unit ) )
& ( op(e4,e1) != e0
| ( op(e4,e0) = e1
& e0 != unit ) )
& ( op(e4,e2) != e0
| ( op(e4,e0) = e2
& e0 != unit ) )
& ( op(e4,e3) != e0
| ( op(e4,e0) = e3
& e0 != unit ) )
& ( op(e4,e4) != e0
| ( op(e4,e0) = e4
& e0 != unit ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f458]) ).
fof(f528,plain,
( ~ pd0_23
| op(e0,e1) != e0
| op(e0,e0) = e1 ),
inference(cnf_transformation,[status(esa)],[f525]) ).
fof(f548,plain,
( ~ pd0_23
| op(e2,e1) != e0
| op(e2,e0) = e1 ),
inference(cnf_transformation,[status(esa)],[f525]) ).
fof(f552,plain,
( ~ pd0_23
| op(e2,e3) != e0
| op(e2,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f525]) ).
fof(f575,plain,
( ~ pd0_23
| op(e4,e4) != e0
| e0 != unit ),
inference(cnf_transformation,[status(esa)],[f525]) ).
fof(f579,plain,
( spl0_1
<=> op(e0,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f592,plain,
( spl0_5
<=> op(e0,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f595,plain,
( spl0_6
<=> op(e0,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f598,plain,
( spl0_7
<=> op(e0,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f611,plain,
( spl0_11
<=> op(e0,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f614,plain,
( spl0_12
<=> op(e0,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f615,plain,
( op(e0,e2) = e2
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f614]) ).
fof(f616,plain,
( op(e0,e2) != e2
| spl0_12 ),
inference(component_clause,[status(thm)],[f614]) ).
fof(f620,plain,
( spl0_14
<=> op(e0,e2) = e4 ),
introduced(split_symbol_definition) ).
fof(f621,plain,
( op(e0,e2) = e4
| ~ spl0_14 ),
inference(component_clause,[status(thm)],[f620]) ).
fof(f640,plain,
( spl0_20
<=> op(e0,e4) = e0 ),
introduced(split_symbol_definition) ).
fof(f643,plain,
( spl0_21
<=> op(e0,e4) = e1 ),
introduced(split_symbol_definition) ).
fof(f646,plain,
( spl0_22
<=> op(e0,e4) = e2 ),
introduced(split_symbol_definition) ).
fof(f649,plain,
( spl0_23
<=> op(e0,e4) = e3 ),
introduced(split_symbol_definition) ).
fof(f650,plain,
( op(e0,e4) = e3
| ~ spl0_23 ),
inference(component_clause,[status(thm)],[f649]) ).
fof(f652,plain,
( spl0_24
<=> op(e0,e4) = e4 ),
introduced(split_symbol_definition) ).
fof(f653,plain,
( op(e0,e4) = e4
| ~ spl0_24 ),
inference(component_clause,[status(thm)],[f652]) ).
fof(f655,plain,
( spl0_20
| spl0_21
| spl0_22
| spl0_23
| spl0_24 ),
inference(split_clause,[status(thm)],[f13,f640,f643,f646,f649,f652]) ).
fof(f656,plain,
( spl0_25
<=> op(e1,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f657,plain,
( op(e1,e0) = e0
| ~ spl0_25 ),
inference(component_clause,[status(thm)],[f656]) ).
fof(f659,plain,
( spl0_26
<=> op(e1,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f672,plain,
( spl0_30
<=> op(e1,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f673,plain,
( op(e1,e1) = e0
| ~ spl0_30 ),
inference(component_clause,[status(thm)],[f672]) ).
fof(f691,plain,
( spl0_36
<=> op(e1,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f692,plain,
( op(e1,e2) = e1
| ~ spl0_36 ),
inference(component_clause,[status(thm)],[f691]) ).
fof(f694,plain,
( spl0_37
<=> op(e1,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f695,plain,
( op(e1,e2) = e2
| ~ spl0_37 ),
inference(component_clause,[status(thm)],[f694]) ).
fof(f700,plain,
( spl0_39
<=> op(e1,e2) = e4 ),
introduced(split_symbol_definition) ).
fof(f701,plain,
( op(e1,e2) = e4
| ~ spl0_39 ),
inference(component_clause,[status(thm)],[f700]) ).
fof(f720,plain,
( spl0_45
<=> op(e1,e4) = e0 ),
introduced(split_symbol_definition) ).
fof(f721,plain,
( op(e1,e4) = e0
| ~ spl0_45 ),
inference(component_clause,[status(thm)],[f720]) ).
fof(f723,plain,
( spl0_46
<=> op(e1,e4) = e1 ),
introduced(split_symbol_definition) ).
fof(f726,plain,
( spl0_47
<=> op(e1,e4) = e2 ),
introduced(split_symbol_definition) ).
fof(f729,plain,
( spl0_48
<=> op(e1,e4) = e3 ),
introduced(split_symbol_definition) ).
fof(f730,plain,
( op(e1,e4) = e3
| ~ spl0_48 ),
inference(component_clause,[status(thm)],[f729]) ).
fof(f732,plain,
( spl0_49
<=> op(e1,e4) = e4 ),
introduced(split_symbol_definition) ).
fof(f733,plain,
( op(e1,e4) = e4
| ~ spl0_49 ),
inference(component_clause,[status(thm)],[f732]) ).
fof(f735,plain,
( spl0_45
| spl0_46
| spl0_47
| spl0_48
| spl0_49 ),
inference(split_clause,[status(thm)],[f18,f720,f723,f726,f729,f732]) ).
fof(f736,plain,
( spl0_50
<=> op(e2,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f737,plain,
( op(e2,e0) = e0
| ~ spl0_50 ),
inference(component_clause,[status(thm)],[f736]) ).
fof(f739,plain,
( spl0_51
<=> op(e2,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f740,plain,
( op(e2,e0) = e1
| ~ spl0_51 ),
inference(component_clause,[status(thm)],[f739]) ).
fof(f745,plain,
( spl0_53
<=> op(e2,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f748,plain,
( spl0_54
<=> op(e2,e0) = e4 ),
introduced(split_symbol_definition) ).
fof(f749,plain,
( op(e2,e0) = e4
| ~ spl0_54 ),
inference(component_clause,[status(thm)],[f748]) ).
fof(f752,plain,
( spl0_55
<=> op(e2,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f753,plain,
( op(e2,e1) = e0
| ~ spl0_55 ),
inference(component_clause,[status(thm)],[f752]) ).
fof(f755,plain,
( spl0_56
<=> op(e2,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f756,plain,
( op(e2,e1) = e1
| ~ spl0_56 ),
inference(component_clause,[status(thm)],[f755]) ).
fof(f758,plain,
( spl0_57
<=> op(e2,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f761,plain,
( spl0_58
<=> op(e2,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f762,plain,
( op(e2,e1) = e3
| ~ spl0_58 ),
inference(component_clause,[status(thm)],[f761]) ).
fof(f764,plain,
( spl0_59
<=> op(e2,e1) = e4 ),
introduced(split_symbol_definition) ).
fof(f765,plain,
( op(e2,e1) = e4
| ~ spl0_59 ),
inference(component_clause,[status(thm)],[f764]) ).
fof(f767,plain,
( spl0_55
| spl0_56
| spl0_57
| spl0_58
| spl0_59 ),
inference(split_clause,[status(thm)],[f20,f752,f755,f758,f761,f764]) ).
fof(f768,plain,
( spl0_60
<=> op(e2,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f769,plain,
( op(e2,e2) = e0
| ~ spl0_60 ),
inference(component_clause,[status(thm)],[f768]) ).
fof(f771,plain,
( spl0_61
<=> op(e2,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f772,plain,
( op(e2,e2) = e1
| ~ spl0_61 ),
inference(component_clause,[status(thm)],[f771]) ).
fof(f774,plain,
( spl0_62
<=> op(e2,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f775,plain,
( op(e2,e2) = e2
| ~ spl0_62 ),
inference(component_clause,[status(thm)],[f774]) ).
fof(f777,plain,
( spl0_63
<=> op(e2,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f778,plain,
( op(e2,e2) = e3
| ~ spl0_63 ),
inference(component_clause,[status(thm)],[f777]) ).
fof(f780,plain,
( spl0_64
<=> op(e2,e2) = e4 ),
introduced(split_symbol_definition) ).
fof(f782,plain,
( op(e2,e2) != e4
| spl0_64 ),
inference(component_clause,[status(thm)],[f780]) ).
fof(f784,plain,
( spl0_65
<=> op(e2,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f787,plain,
( spl0_66
<=> op(e2,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f790,plain,
( spl0_67
<=> op(e2,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f793,plain,
( spl0_68
<=> op(e2,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f794,plain,
( op(e2,e3) = e3
| ~ spl0_68 ),
inference(component_clause,[status(thm)],[f793]) ).
fof(f796,plain,
( spl0_69
<=> op(e2,e3) = e4 ),
introduced(split_symbol_definition) ).
fof(f799,plain,
( spl0_65
| spl0_66
| spl0_67
| spl0_68
| spl0_69 ),
inference(split_clause,[status(thm)],[f22,f784,f787,f790,f793,f796]) ).
fof(f800,plain,
( spl0_70
<=> op(e2,e4) = e0 ),
introduced(split_symbol_definition) ).
fof(f801,plain,
( op(e2,e4) = e0
| ~ spl0_70 ),
inference(component_clause,[status(thm)],[f800]) ).
fof(f803,plain,
( spl0_71
<=> op(e2,e4) = e1 ),
introduced(split_symbol_definition) ).
fof(f806,plain,
( spl0_72
<=> op(e2,e4) = e2 ),
introduced(split_symbol_definition) ).
fof(f807,plain,
( op(e2,e4) = e2
| ~ spl0_72 ),
inference(component_clause,[status(thm)],[f806]) ).
fof(f809,plain,
( spl0_73
<=> op(e2,e4) = e3 ),
introduced(split_symbol_definition) ).
fof(f810,plain,
( op(e2,e4) = e3
| ~ spl0_73 ),
inference(component_clause,[status(thm)],[f809]) ).
fof(f811,plain,
( op(e2,e4) != e3
| spl0_73 ),
inference(component_clause,[status(thm)],[f809]) ).
fof(f812,plain,
( spl0_74
<=> op(e2,e4) = e4 ),
introduced(split_symbol_definition) ).
fof(f813,plain,
( op(e2,e4) = e4
| ~ spl0_74 ),
inference(component_clause,[status(thm)],[f812]) ).
fof(f844,plain,
( spl0_84
<=> op(e3,e1) = e4 ),
introduced(split_symbol_definition) ).
fof(f851,plain,
( spl0_86
<=> op(e3,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f852,plain,
( op(e3,e2) = e1
| ~ spl0_86 ),
inference(component_clause,[status(thm)],[f851]) ).
fof(f854,plain,
( spl0_87
<=> op(e3,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f855,plain,
( op(e3,e2) = e2
| ~ spl0_87 ),
inference(component_clause,[status(thm)],[f854]) ).
fof(f867,plain,
( spl0_91
<=> op(e3,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f868,plain,
( op(e3,e3) = e1
| ~ spl0_91 ),
inference(component_clause,[status(thm)],[f867]) ).
fof(f880,plain,
( spl0_95
<=> op(e3,e4) = e0 ),
introduced(split_symbol_definition) ).
fof(f881,plain,
( op(e3,e4) = e0
| ~ spl0_95 ),
inference(component_clause,[status(thm)],[f880]) ).
fof(f883,plain,
( spl0_96
<=> op(e3,e4) = e1 ),
introduced(split_symbol_definition) ).
fof(f884,plain,
( op(e3,e4) = e1
| ~ spl0_96 ),
inference(component_clause,[status(thm)],[f883]) ).
fof(f885,plain,
( op(e3,e4) != e1
| spl0_96 ),
inference(component_clause,[status(thm)],[f883]) ).
fof(f886,plain,
( spl0_97
<=> op(e3,e4) = e2 ),
introduced(split_symbol_definition) ).
fof(f887,plain,
( op(e3,e4) = e2
| ~ spl0_97 ),
inference(component_clause,[status(thm)],[f886]) ).
fof(f889,plain,
( spl0_98
<=> op(e3,e4) = e3 ),
introduced(split_symbol_definition) ).
fof(f890,plain,
( op(e3,e4) = e3
| ~ spl0_98 ),
inference(component_clause,[status(thm)],[f889]) ).
fof(f892,plain,
( spl0_99
<=> op(e3,e4) = e4 ),
introduced(split_symbol_definition) ).
fof(f893,plain,
( op(e3,e4) = e4
| ~ spl0_99 ),
inference(component_clause,[status(thm)],[f892]) ).
fof(f896,plain,
( spl0_100
<=> op(e4,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f897,plain,
( op(e4,e0) = e0
| ~ spl0_100 ),
inference(component_clause,[status(thm)],[f896]) ).
fof(f899,plain,
( spl0_101
<=> op(e4,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f900,plain,
( op(e4,e0) = e1
| ~ spl0_101 ),
inference(component_clause,[status(thm)],[f899]) ).
fof(f902,plain,
( spl0_102
<=> op(e4,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f903,plain,
( op(e4,e0) = e2
| ~ spl0_102 ),
inference(component_clause,[status(thm)],[f902]) ).
fof(f912,plain,
( spl0_105
<=> op(e4,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f913,plain,
( op(e4,e1) = e0
| ~ spl0_105 ),
inference(component_clause,[status(thm)],[f912]) ).
fof(f915,plain,
( spl0_106
<=> op(e4,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f916,plain,
( op(e4,e1) = e1
| ~ spl0_106 ),
inference(component_clause,[status(thm)],[f915]) ).
fof(f918,plain,
( spl0_107
<=> op(e4,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f921,plain,
( spl0_108
<=> op(e4,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f928,plain,
( spl0_110
<=> op(e4,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f929,plain,
( op(e4,e2) = e0
| ~ spl0_110 ),
inference(component_clause,[status(thm)],[f928]) ).
fof(f931,plain,
( spl0_111
<=> op(e4,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f932,plain,
( op(e4,e2) = e1
| ~ spl0_111 ),
inference(component_clause,[status(thm)],[f931]) ).
fof(f934,plain,
( spl0_112
<=> op(e4,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f935,plain,
( op(e4,e2) = e2
| ~ spl0_112 ),
inference(component_clause,[status(thm)],[f934]) ).
fof(f937,plain,
( spl0_113
<=> op(e4,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f940,plain,
( spl0_114
<=> op(e4,e2) = e4 ),
introduced(split_symbol_definition) ).
fof(f943,plain,
( spl0_110
| spl0_111
| spl0_112
| spl0_113
| spl0_114 ),
inference(split_clause,[status(thm)],[f31,f928,f931,f934,f937,f940]) ).
fof(f944,plain,
( spl0_115
<=> op(e4,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f945,plain,
( op(e4,e3) = e0
| ~ spl0_115 ),
inference(component_clause,[status(thm)],[f944]) ).
fof(f947,plain,
( spl0_116
<=> op(e4,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f950,plain,
( spl0_117
<=> op(e4,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f960,plain,
( spl0_120
<=> op(e4,e4) = e0 ),
introduced(split_symbol_definition) ).
fof(f961,plain,
( op(e4,e4) = e0
| ~ spl0_120 ),
inference(component_clause,[status(thm)],[f960]) ).
fof(f963,plain,
( spl0_121
<=> op(e4,e4) = e1 ),
introduced(split_symbol_definition) ).
fof(f964,plain,
( op(e4,e4) = e1
| ~ spl0_121 ),
inference(component_clause,[status(thm)],[f963]) ).
fof(f966,plain,
( spl0_122
<=> op(e4,e4) = e2 ),
introduced(split_symbol_definition) ).
fof(f967,plain,
( op(e4,e4) = e2
| ~ spl0_122 ),
inference(component_clause,[status(thm)],[f966]) ).
fof(f972,plain,
( spl0_124
<=> op(e4,e4) = e4 ),
introduced(split_symbol_definition) ).
fof(f973,plain,
( op(e4,e4) = e4
| ~ spl0_124 ),
inference(component_clause,[status(thm)],[f972]) ).
fof(f976,plain,
( spl0_125
<=> unit = e0 ),
introduced(split_symbol_definition) ).
fof(f977,plain,
( unit = e0
| ~ spl0_125 ),
inference(component_clause,[status(thm)],[f976]) ).
fof(f979,plain,
( spl0_126
<=> unit = e1 ),
introduced(split_symbol_definition) ).
fof(f980,plain,
( unit = e1
| ~ spl0_126 ),
inference(component_clause,[status(thm)],[f979]) ).
fof(f982,plain,
( spl0_127
<=> unit = e2 ),
introduced(split_symbol_definition) ).
fof(f983,plain,
( unit = e2
| ~ spl0_127 ),
inference(component_clause,[status(thm)],[f982]) ).
fof(f985,plain,
( spl0_128
<=> unit = e3 ),
introduced(split_symbol_definition) ).
fof(f986,plain,
( unit = e3
| ~ spl0_128 ),
inference(component_clause,[status(thm)],[f985]) ).
fof(f988,plain,
( spl0_129
<=> unit = e4 ),
introduced(split_symbol_definition) ).
fof(f989,plain,
( unit = e4
| ~ spl0_129 ),
inference(component_clause,[status(thm)],[f988]) ).
fof(f991,plain,
( spl0_125
| spl0_126
| spl0_127
| spl0_128
| spl0_129 ),
inference(split_clause,[status(thm)],[f44,f976,f979,f982,f985,f988]) ).
fof(f1012,plain,
( spl0_50
| spl0_55
| spl0_60
| spl0_65
| spl0_70 ),
inference(split_clause,[status(thm)],[f65,f736,f752,f768,f784,f800]) ).
fof(f1014,plain,
( spl0_51
| spl0_56
| spl0_61
| spl0_66
| spl0_71 ),
inference(split_clause,[status(thm)],[f67,f739,f755,f771,f787,f803]) ).
fof(f1015,plain,
( spl0_11
| spl0_36
| spl0_61
| spl0_86
| spl0_111 ),
inference(split_clause,[status(thm)],[f68,f611,f691,f771,f851,f931]) ).
fof(f1017,plain,
( spl0_12
| spl0_37
| spl0_62
| spl0_87
| spl0_112 ),
inference(split_clause,[status(thm)],[f70,f614,f694,f774,f854,f934]) ).
fof(f1032,plain,
( spl0_100
| spl0_105
| spl0_110
| spl0_115
| spl0_120 ),
inference(split_clause,[status(thm)],[f85,f896,f912,f928,f944,f960]) ).
fof(f1034,plain,
( spl0_101
| spl0_106
| spl0_111
| spl0_116
| spl0_121 ),
inference(split_clause,[status(thm)],[f87,f899,f915,f931,f947,f963]) ).
fof(f1036,plain,
( spl0_102
| spl0_107
| spl0_112
| spl0_117
| spl0_122 ),
inference(split_clause,[status(thm)],[f89,f902,f918,f934,f950,f966]) ).
fof(f1037,plain,
( spl0_22
| spl0_47
| spl0_72
| spl0_97
| spl0_122 ),
inference(split_clause,[status(thm)],[f90,f646,f726,f806,f886,f966]) ).
fof(f1041,plain,
( spl0_24
| spl0_49
| spl0_74
| spl0_99
| spl0_124 ),
inference(split_clause,[status(thm)],[f94,f652,f732,f812,f892,f972]) ).
fof(f1042,plain,
( spl0_130
<=> pd0_0 ),
introduced(split_symbol_definition) ).
fof(f1045,plain,
( spl0_131
<=> op(e4,op(e4,e0)) = e0 ),
introduced(split_symbol_definition) ).
fof(f1046,plain,
( op(e4,op(e4,e0)) = e0
| ~ spl0_131 ),
inference(component_clause,[status(thm)],[f1045]) ).
fof(f1047,plain,
( op(e4,op(e4,e0)) != e0
| spl0_131 ),
inference(component_clause,[status(thm)],[f1045]) ).
fof(f1048,plain,
( spl0_130
| ~ spl0_131 ),
inference(split_clause,[status(thm)],[f216,f1042,f1045]) ).
fof(f1053,plain,
( spl0_133
<=> pd0_1 ),
introduced(split_symbol_definition) ).
fof(f1056,plain,
( spl0_134
<=> op(e4,op(e4,e1)) = e1 ),
introduced(split_symbol_definition) ).
fof(f1059,plain,
( spl0_133
| ~ spl0_134 ),
inference(split_clause,[status(thm)],[f218,f1053,f1056]) ).
fof(f1060,plain,
( spl0_135
<=> op(e1,op(e4,e1)) = e4 ),
introduced(split_symbol_definition) ).
fof(f1063,plain,
( spl0_133
| spl0_135 ),
inference(split_clause,[status(thm)],[f219,f1053,f1060]) ).
fof(f1064,plain,
( spl0_136
<=> pd0_2 ),
introduced(split_symbol_definition) ).
fof(f1067,plain,
( spl0_137
<=> op(e4,op(e4,e2)) = e2 ),
introduced(split_symbol_definition) ).
fof(f1070,plain,
( spl0_136
| ~ spl0_137 ),
inference(split_clause,[status(thm)],[f220,f1064,f1067]) ).
fof(f1071,plain,
( spl0_138
<=> op(e2,op(e4,e2)) = e4 ),
introduced(split_symbol_definition) ).
fof(f1072,plain,
( op(e2,op(e4,e2)) = e4
| ~ spl0_138 ),
inference(component_clause,[status(thm)],[f1071]) ).
fof(f1074,plain,
( spl0_136
| spl0_138 ),
inference(split_clause,[status(thm)],[f221,f1064,f1071]) ).
fof(f1086,plain,
( spl0_142
<=> pd0_4 ),
introduced(split_symbol_definition) ).
fof(f1089,plain,
( spl0_143
<=> op(e4,op(e4,e4)) = e4 ),
introduced(split_symbol_definition) ).
fof(f1090,plain,
( op(e4,op(e4,e4)) = e4
| ~ spl0_143 ),
inference(component_clause,[status(thm)],[f1089]) ).
fof(f1092,plain,
( spl0_142
| ~ spl0_143 ),
inference(split_clause,[status(thm)],[f224,f1086,f1089]) ).
fof(f1093,plain,
( spl0_142
| spl0_143 ),
inference(split_clause,[status(thm)],[f225,f1086,f1089]) ).
fof(f1094,plain,
( spl0_144
<=> pd0_5 ),
introduced(split_symbol_definition) ).
fof(f1121,plain,
( spl0_144
| ~ spl0_64
| spl0_72 ),
inference(split_clause,[status(thm)],[f250,f1094,f780,f806]) ).
fof(f1158,plain,
( spl0_148
<=> pd0_7 ),
introduced(split_symbol_definition) ).
fof(f1165,plain,
( spl0_150
<=> op(e1,op(e3,e1)) = e3 ),
introduced(split_symbol_definition) ).
fof(f1166,plain,
( op(e1,op(e3,e1)) = e3
| ~ spl0_150 ),
inference(component_clause,[status(thm)],[f1165]) ).
fof(f1168,plain,
( ~ spl0_133
| spl0_148
| spl0_150 ),
inference(split_clause,[status(thm)],[f285,f1053,f1158,f1165]) ).
fof(f1169,plain,
( spl0_151
<=> pd0_8 ),
introduced(split_symbol_definition) ).
fof(f1172,plain,
( spl0_152
<=> op(e3,op(e3,e2)) = e2 ),
introduced(split_symbol_definition) ).
fof(f1174,plain,
( op(e3,op(e3,e2)) != e2
| spl0_152 ),
inference(component_clause,[status(thm)],[f1172]) ).
fof(f1175,plain,
( ~ spl0_136
| spl0_151
| ~ spl0_152 ),
inference(split_clause,[status(thm)],[f289,f1064,f1169,f1172]) ).
fof(f1176,plain,
( spl0_153
<=> op(e2,op(e3,e2)) = e3 ),
introduced(split_symbol_definition) ).
fof(f1179,plain,
( ~ spl0_136
| spl0_151
| spl0_153 ),
inference(split_clause,[status(thm)],[f290,f1064,f1169,f1176]) ).
fof(f1188,plain,
( spl0_156
<=> pd0_10 ),
introduced(split_symbol_definition) ).
fof(f1191,plain,
( spl0_157
<=> op(e3,op(e3,e4)) = e4 ),
introduced(split_symbol_definition) ).
fof(f1192,plain,
( op(e3,op(e3,e4)) = e4
| ~ spl0_157 ),
inference(component_clause,[status(thm)],[f1191]) ).
fof(f1193,plain,
( op(e3,op(e3,e4)) != e4
| spl0_157 ),
inference(component_clause,[status(thm)],[f1191]) ).
fof(f1194,plain,
( ~ spl0_142
| spl0_156
| ~ spl0_157 ),
inference(split_clause,[status(thm)],[f299,f1086,f1188,f1191]) ).
fof(f1199,plain,
( spl0_159
<=> pd0_11 ),
introduced(split_symbol_definition) ).
fof(f1230,plain,
( ~ spl0_144
| spl0_159
| ~ spl0_73
| spl0_69 ),
inference(split_clause,[status(thm)],[f332,f1094,f1199,f809,f796]) ).
fof(f1263,plain,
( spl0_163
<=> pd0_13 ),
introduced(split_symbol_definition) ).
fof(f1266,plain,
( spl0_164
<=> op(e2,op(e2,e1)) = e1 ),
introduced(split_symbol_definition) ).
fof(f1268,plain,
( op(e2,op(e2,e1)) != e1
| spl0_164 ),
inference(component_clause,[status(thm)],[f1266]) ).
fof(f1269,plain,
( ~ spl0_148
| spl0_163
| ~ spl0_164 ),
inference(split_clause,[status(thm)],[f362,f1158,f1263,f1266]) ).
fof(f1270,plain,
( spl0_165
<=> op(e1,op(e2,e1)) = e2 ),
introduced(split_symbol_definition) ).
fof(f1273,plain,
( ~ spl0_148
| spl0_163
| spl0_165 ),
inference(split_clause,[status(thm)],[f363,f1158,f1263,f1270]) ).
fof(f1274,plain,
( spl0_166
<=> pd0_14 ),
introduced(split_symbol_definition) ).
fof(f1277,plain,
( spl0_167
<=> op(e2,op(e2,e2)) = e2 ),
introduced(split_symbol_definition) ).
fof(f1280,plain,
( ~ spl0_151
| spl0_166
| ~ spl0_167 ),
inference(split_clause,[status(thm)],[f367,f1169,f1274,f1277]) ).
fof(f1281,plain,
( ~ spl0_151
| spl0_166
| spl0_167 ),
inference(split_clause,[status(thm)],[f368,f1169,f1274,f1277]) ).
fof(f1293,plain,
( spl0_171
<=> pd0_16 ),
introduced(split_symbol_definition) ).
fof(f1296,plain,
( spl0_172
<=> op(e2,op(e2,e4)) = e4 ),
introduced(split_symbol_definition) ).
fof(f1297,plain,
( op(e2,op(e2,e4)) = e4
| ~ spl0_172 ),
inference(component_clause,[status(thm)],[f1296]) ).
fof(f1298,plain,
( op(e2,op(e2,e4)) != e4
| spl0_172 ),
inference(component_clause,[status(thm)],[f1296]) ).
fof(f1300,plain,
( spl0_173
<=> op(e4,op(e2,e4)) = e2 ),
introduced(split_symbol_definition) ).
fof(f1301,plain,
( op(e4,op(e2,e4)) = e2
| ~ spl0_173 ),
inference(component_clause,[status(thm)],[f1300]) ).
fof(f1302,plain,
( op(e4,op(e2,e4)) != e2
| spl0_173 ),
inference(component_clause,[status(thm)],[f1300]) ).
fof(f1303,plain,
( ~ spl0_156
| spl0_171
| spl0_173 ),
inference(split_clause,[status(thm)],[f378,f1188,f1293,f1300]) ).
fof(f1304,plain,
( spl0_174
<=> pd0_17 ),
introduced(split_symbol_definition) ).
fof(f1315,plain,
( ~ spl0_159
| spl0_174
| ~ spl0_22
| spl0_14 ),
inference(split_clause,[status(thm)],[f390,f1199,f1304,f646,f620]) ).
fof(f1325,plain,
( ~ spl0_159
| spl0_174
| ~ spl0_47
| spl0_39 ),
inference(split_clause,[status(thm)],[f400,f1199,f1304,f726,f700]) ).
fof(f1368,plain,
( spl0_178
<=> pd0_19 ),
introduced(split_symbol_definition) ).
fof(f1371,plain,
( spl0_179
<=> op(e1,op(e1,e1)) = e1 ),
introduced(split_symbol_definition) ).
fof(f1374,plain,
( ~ spl0_163
| spl0_178
| ~ spl0_179 ),
inference(split_clause,[status(thm)],[f440,f1263,f1368,f1371]) ).
fof(f1375,plain,
( ~ spl0_163
| spl0_178
| spl0_179 ),
inference(split_clause,[status(thm)],[f441,f1263,f1368,f1371]) ).
fof(f1376,plain,
( spl0_180
<=> pd0_20 ),
introduced(split_symbol_definition) ).
fof(f1379,plain,
( spl0_181
<=> op(e1,op(e1,e2)) = e2 ),
introduced(split_symbol_definition) ).
fof(f1382,plain,
( ~ spl0_166
| spl0_180
| ~ spl0_181 ),
inference(split_clause,[status(thm)],[f445,f1274,f1376,f1379]) ).
fof(f1383,plain,
( spl0_182
<=> op(e2,op(e1,e2)) = e1 ),
introduced(split_symbol_definition) ).
fof(f1384,plain,
( op(e2,op(e1,e2)) = e1
| ~ spl0_182 ),
inference(component_clause,[status(thm)],[f1383]) ).
fof(f1386,plain,
( ~ spl0_166
| spl0_180
| spl0_182 ),
inference(split_clause,[status(thm)],[f446,f1274,f1376,f1383]) ).
fof(f1398,plain,
( spl0_186
<=> pd0_22 ),
introduced(split_symbol_definition) ).
fof(f1401,plain,
( spl0_187
<=> op(e1,op(e1,e4)) = e4 ),
introduced(split_symbol_definition) ).
fof(f1404,plain,
( ~ spl0_171
| spl0_186
| ~ spl0_187 ),
inference(split_clause,[status(thm)],[f455,f1293,f1398,f1401]) ).
fof(f1405,plain,
( spl0_188
<=> op(e4,op(e1,e4)) = e1 ),
introduced(split_symbol_definition) ).
fof(f1406,plain,
( op(e4,op(e1,e4)) = e1
| ~ spl0_188 ),
inference(component_clause,[status(thm)],[f1405]) ).
fof(f1408,plain,
( ~ spl0_171
| spl0_186
| spl0_188 ),
inference(split_clause,[status(thm)],[f456,f1293,f1398,f1405]) ).
fof(f1409,plain,
( spl0_189
<=> pd0_23 ),
introduced(split_symbol_definition) ).
fof(f1416,plain,
( ~ spl0_174
| spl0_189
| ~ spl0_11
| spl0_7 ),
inference(split_clause,[status(thm)],[f464,f1304,f1409,f611,f598]) ).
fof(f1417,plain,
( ~ spl0_174
| spl0_189
| ~ spl0_11
| ~ spl0_126 ),
inference(split_clause,[status(thm)],[f465,f1304,f1409,f611,f979]) ).
fof(f1422,plain,
( ~ spl0_174
| spl0_189
| ~ spl0_26
| spl0_30 ),
inference(split_clause,[status(thm)],[f470,f1304,f1409,f659,f672]) ).
fof(f1432,plain,
( ~ spl0_174
| spl0_189
| ~ spl0_51
| spl0_55 ),
inference(split_clause,[status(thm)],[f480,f1304,f1409,f739,f752]) ).
fof(f1435,plain,
( ~ spl0_174
| spl0_189
| ~ spl0_56
| ~ spl0_126 ),
inference(split_clause,[status(thm)],[f483,f1304,f1409,f755,f979]) ).
fof(f1438,plain,
( ~ spl0_174
| spl0_189
| ~ spl0_66
| spl0_58 ),
inference(split_clause,[status(thm)],[f486,f1304,f1409,f787,f761]) ).
fof(f1450,plain,
( ~ spl0_174
| spl0_189
| ~ spl0_96
| spl0_84 ),
inference(split_clause,[status(thm)],[f498,f1304,f1409,f883,f844]) ).
fof(f1451,plain,
( ~ spl0_174
| spl0_189
| ~ spl0_96
| ~ spl0_126 ),
inference(split_clause,[status(thm)],[f499,f1304,f1409,f883,f979]) ).
fof(f1452,plain,
( ~ spl0_174
| spl0_189
| ~ spl0_101
| spl0_105 ),
inference(split_clause,[status(thm)],[f500,f1304,f1409,f899,f912]) ).
fof(f1458,plain,
( ~ spl0_174
| spl0_189
| ~ spl0_116
| spl0_108 ),
inference(split_clause,[status(thm)],[f506,f1304,f1409,f947,f921]) ).
fof(f1467,plain,
( spl0_191
<=> op(e0,op(e0,e1)) = e1 ),
introduced(split_symbol_definition) ).
fof(f1470,plain,
( ~ spl0_178
| ~ spl0_191 ),
inference(split_clause,[status(thm)],[f514,f1368,f1467]) ).
fof(f1471,plain,
( spl0_192
<=> op(e1,op(e0,e1)) = e0 ),
introduced(split_symbol_definition) ).
fof(f1472,plain,
( op(e1,op(e0,e1)) = e0
| ~ spl0_192 ),
inference(component_clause,[status(thm)],[f1471]) ).
fof(f1474,plain,
( ~ spl0_178
| spl0_192 ),
inference(split_clause,[status(thm)],[f515,f1368,f1471]) ).
fof(f1479,plain,
( spl0_194
<=> op(e2,op(e0,e2)) = e0 ),
introduced(split_symbol_definition) ).
fof(f1480,plain,
( op(e2,op(e0,e2)) = e0
| ~ spl0_194 ),
inference(component_clause,[status(thm)],[f1479]) ).
fof(f1482,plain,
( ~ spl0_180
| spl0_194 ),
inference(split_clause,[status(thm)],[f518,f1376,f1479]) ).
fof(f1491,plain,
( spl0_197
<=> op(e0,op(e0,e4)) = e4 ),
introduced(split_symbol_definition) ).
fof(f1493,plain,
( op(e0,op(e0,e4)) != e4
| spl0_197 ),
inference(component_clause,[status(thm)],[f1491]) ).
fof(f1494,plain,
( ~ spl0_186
| ~ spl0_197 ),
inference(split_clause,[status(thm)],[f523,f1398,f1491]) ).
fof(f1495,plain,
( spl0_198
<=> op(e4,op(e0,e4)) = e0 ),
introduced(split_symbol_definition) ).
fof(f1498,plain,
( ~ spl0_186
| spl0_198 ),
inference(split_clause,[status(thm)],[f524,f1398,f1495]) ).
fof(f1501,plain,
( ~ spl0_189
| ~ spl0_5
| spl0_1 ),
inference(split_clause,[status(thm)],[f528,f1409,f592,f579]) ).
fof(f1521,plain,
( ~ spl0_189
| ~ spl0_55
| spl0_51 ),
inference(split_clause,[status(thm)],[f548,f1409,f752,f739]) ).
fof(f1525,plain,
( ~ spl0_189
| ~ spl0_65
| spl0_53 ),
inference(split_clause,[status(thm)],[f552,f1409,f784,f745]) ).
fof(f1548,plain,
( ~ spl0_189
| ~ spl0_120
| ~ spl0_125 ),
inference(split_clause,[status(thm)],[f575,f1409,f960,f976]) ).
fof(f1550,plain,
( op(e3,e4) = e4
| ~ spl0_128 ),
inference(backward_demodulation,[status(thm)],[f986,f42]) ).
fof(f1576,plain,
op(e0,e2) != e4,
inference(paramodulation,[status(thm)],[f208,f116]) ).
fof(f1577,plain,
op(e1,e2) != e4,
inference(paramodulation,[status(thm)],[f208,f119]) ).
fof(f1579,plain,
( op(e0,e4) != e0
| ~ spl0_120 ),
inference(paramodulation,[status(thm)],[f961,f138]) ).
fof(f1580,plain,
( ~ spl0_20
| ~ spl0_120 ),
inference(split_clause,[status(thm)],[f1579,f640,f960]) ).
fof(f1590,plain,
( op(e3,e1) != e4
| ~ spl0_96
| spl0_157 ),
inference(backward_demodulation,[status(thm)],[f884,f1193]) ).
fof(f1591,plain,
( op(e2,e4) != e1
| ~ spl0_96 ),
inference(paramodulation,[status(thm)],[f884,f142]) ).
fof(f1592,plain,
( op(e1,e4) != e1
| ~ spl0_96 ),
inference(paramodulation,[status(thm)],[f884,f140]) ).
fof(f1593,plain,
( op(e0,e4) != e1
| ~ spl0_96 ),
inference(paramodulation,[status(thm)],[f884,f137]) ).
fof(f1596,plain,
( op(e1,e4) != e3
| ~ spl0_73 ),
inference(paramodulation,[status(thm)],[f810,f139]) ).
fof(f1597,plain,
( e3 != e3
| ~ spl0_48
| ~ spl0_73 ),
inference(forward_demodulation,[status(thm)],[f730,f1596]) ).
fof(f1598,plain,
( $false
| ~ spl0_48
| ~ spl0_73 ),
inference(trivial_equality_resolution,[status(esa)],[f1597]) ).
fof(f1599,plain,
( ~ spl0_48
| ~ spl0_73 ),
inference(contradiction_clause,[status(thm)],[f1598]) ).
fof(f1603,plain,
( e1 = e2
| ~ spl0_96
| ~ spl0_97 ),
inference(forward_demodulation,[status(thm)],[f884,f887]) ).
fof(f1604,plain,
( $false
| ~ spl0_96
| ~ spl0_97 ),
inference(forward_subsumption_resolution,[status(thm)],[f1603,f199]) ).
fof(f1605,plain,
( ~ spl0_96
| ~ spl0_97 ),
inference(contradiction_clause,[status(thm)],[f1604]) ).
fof(f1609,plain,
( e4 != e4
| spl0_64 ),
inference(forward_demodulation,[status(thm)],[f208,f782]) ).
fof(f1610,plain,
( $false
| spl0_64 ),
inference(trivial_equality_resolution,[status(esa)],[f1609]) ).
fof(f1611,plain,
spl0_64,
inference(contradiction_clause,[status(thm)],[f1610]) ).
fof(f1616,plain,
( $false
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[status(thm)],[f621,f1576]) ).
fof(f1617,plain,
~ spl0_14,
inference(contradiction_clause,[status(thm)],[f1616]) ).
fof(f1618,plain,
( $false
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[status(thm)],[f701,f1577]) ).
fof(f1619,plain,
~ spl0_39,
inference(contradiction_clause,[status(thm)],[f1618]) ).
fof(f1637,plain,
( op(e4,e2) = e0
| ~ spl0_102
| ~ spl0_131 ),
inference(forward_demodulation,[status(thm)],[f903,f1046]) ).
fof(f1665,plain,
( e4 = e0
| ~ spl0_60 ),
inference(backward_demodulation,[status(thm)],[f769,f208]) ).
fof(f1666,plain,
( $false
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[status(thm)],[f1665,f198]) ).
fof(f1667,plain,
~ spl0_60,
inference(contradiction_clause,[status(thm)],[f1666]) ).
fof(f1668,plain,
( op(e2,e3) != e4
| ~ spl0_73
| spl0_172 ),
inference(forward_demodulation,[status(thm)],[f810,f1298]) ).
fof(f1669,plain,
( op(e4,e2) = e4
| ~ spl0_127 ),
inference(forward_demodulation,[status(thm)],[f983,f43]) ).
fof(f1672,plain,
( op(e2,e2) != e4
| ~ spl0_127 ),
inference(paramodulation,[status(thm)],[f1669,f123]) ).
fof(f1673,plain,
( ~ spl0_64
| ~ spl0_127 ),
inference(split_clause,[status(thm)],[f1672,f780,f982]) ).
fof(f1684,plain,
op(e2,e0) != e4,
inference(paramodulation,[status(thm)],[f208,f166]) ).
fof(f1687,plain,
( op(e1,e0) = e0
| ~ spl0_126 ),
inference(backward_demodulation,[status(thm)],[f980,f34]) ).
fof(f1688,plain,
( op(e0,e1) = e0
| ~ spl0_126 ),
inference(backward_demodulation,[status(thm)],[f980,f35]) ).
fof(f1691,plain,
( op(e1,e2) = e2
| ~ spl0_126 ),
inference(backward_demodulation,[status(thm)],[f980,f38]) ).
fof(f1700,plain,
( op(e2,e0) != e1
| ~ spl0_55
| spl0_164 ),
inference(backward_demodulation,[status(thm)],[f753,f1268]) ).
fof(f1702,plain,
( op(e1,e1) != e0
| ~ spl0_55 ),
inference(paramodulation,[status(thm)],[f753,f109]) ).
fof(f1708,plain,
( op(e1,e0) != e1
| ~ spl0_51 ),
inference(paramodulation,[status(thm)],[f740,f99]) ).
fof(f1709,plain,
( op(e0,e0) != e1
| ~ spl0_51 ),
inference(paramodulation,[status(thm)],[f740,f96]) ).
fof(f1711,plain,
( e0 = e1
| ~ spl0_50
| ~ spl0_51 ),
inference(backward_demodulation,[status(thm)],[f737,f740]) ).
fof(f1712,plain,
( $false
| ~ spl0_50
| ~ spl0_51 ),
inference(forward_subsumption_resolution,[status(thm)],[f1711,f195]) ).
fof(f1713,plain,
( ~ spl0_50
| ~ spl0_51 ),
inference(contradiction_clause,[status(thm)],[f1712]) ).
fof(f1724,plain,
( op(e1,e0) != e0
| ~ spl0_30 ),
inference(paramodulation,[status(thm)],[f673,f155]) ).
fof(f1745,plain,
( e0 != e0
| ~ spl0_25
| ~ spl0_30 ),
inference(forward_demodulation,[status(thm)],[f657,f1724]) ).
fof(f1746,plain,
( $false
| ~ spl0_25
| ~ spl0_30 ),
inference(trivial_equality_resolution,[status(esa)],[f1745]) ).
fof(f1747,plain,
( ~ spl0_25
| ~ spl0_30 ),
inference(contradiction_clause,[status(thm)],[f1746]) ).
fof(f1763,plain,
( op(e2,e0) != e1
| ~ spl0_101 ),
inference(paramodulation,[status(thm)],[f900,f103]) ).
fof(f1766,plain,
( op(e1,e0) != e0
| ~ spl0_50 ),
inference(paramodulation,[status(thm)],[f737,f99]) ).
fof(f1767,plain,
( ~ spl0_25
| ~ spl0_50 ),
inference(split_clause,[status(thm)],[f1766,f656,f736]) ).
fof(f1780,plain,
( spl0_110
| ~ spl0_102
| ~ spl0_131 ),
inference(split_clause,[status(thm)],[f1637,f928,f902,f1045]) ).
fof(f1789,plain,
( ~ spl0_26
| ~ spl0_51 ),
inference(split_clause,[status(thm)],[f1708,f659,f739]) ).
fof(f1793,plain,
( spl0_25
| ~ spl0_126 ),
inference(split_clause,[status(thm)],[f1687,f656,f979]) ).
fof(f1794,plain,
( ~ spl0_51
| ~ spl0_55
| spl0_164 ),
inference(split_clause,[status(thm)],[f1700,f739,f752,f1266]) ).
fof(f1796,plain,
( op(e2,e0) != e3
| ~ spl0_73 ),
inference(paramodulation,[status(thm)],[f810,f168]) ).
fof(f1797,plain,
( ~ spl0_53
| ~ spl0_73 ),
inference(split_clause,[status(thm)],[f1796,f745,f809]) ).
fof(f1798,plain,
op(e2,e1) != e4,
inference(paramodulation,[status(thm)],[f208,f169]) ).
fof(f1807,plain,
( op(e1,e0) = e1
| ~ spl0_125 ),
inference(backward_demodulation,[status(thm)],[f977,f37]) ).
fof(f1808,plain,
( spl0_26
| ~ spl0_125 ),
inference(split_clause,[status(thm)],[f1807,f659,f976]) ).
fof(f1809,plain,
( op(e0,e1) = e1
| ~ spl0_125 ),
inference(backward_demodulation,[status(thm)],[f977,f36]) ).
fof(f1826,plain,
( spl0_5
| ~ spl0_126 ),
inference(split_clause,[status(thm)],[f1688,f592,f979]) ).
fof(f1827,plain,
( $false
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[status(thm)],[f749,f1684]) ).
fof(f1828,plain,
~ spl0_54,
inference(contradiction_clause,[status(thm)],[f1827]) ).
fof(f1833,plain,
( ~ spl0_1
| ~ spl0_51 ),
inference(split_clause,[status(thm)],[f1709,f579,f739]) ).
fof(f1836,plain,
( ~ spl0_84
| ~ spl0_96
| spl0_157 ),
inference(split_clause,[status(thm)],[f1590,f844,f883,f1191]) ).
fof(f1842,plain,
( $false
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[status(thm)],[f765,f1798]) ).
fof(f1843,plain,
~ spl0_59,
inference(contradiction_clause,[status(thm)],[f1842]) ).
fof(f1850,plain,
( ~ spl0_71
| ~ spl0_96 ),
inference(split_clause,[status(thm)],[f1591,f803,f883]) ).
fof(f1851,plain,
( ~ spl0_46
| ~ spl0_96 ),
inference(split_clause,[status(thm)],[f1592,f723,f883]) ).
fof(f1852,plain,
( ~ spl0_21
| ~ spl0_96 ),
inference(split_clause,[status(thm)],[f1593,f643,f883]) ).
fof(f1865,plain,
( op(e2,e1) = e4
| ~ spl0_111
| ~ spl0_138 ),
inference(backward_demodulation,[status(thm)],[f932,f1072]) ).
fof(f1866,plain,
( spl0_59
| ~ spl0_111
| ~ spl0_138 ),
inference(split_clause,[status(thm)],[f1865,f764,f931,f1071]) ).
fof(f1872,plain,
( op(e0,e2) != e1
| ~ spl0_111 ),
inference(paramodulation,[status(thm)],[f932,f118]) ).
fof(f1873,plain,
( ~ spl0_11
| ~ spl0_111 ),
inference(split_clause,[status(thm)],[f1872,f611,f931]) ).
fof(f1888,plain,
( ~ spl0_30
| ~ spl0_55 ),
inference(split_clause,[status(thm)],[f1702,f672,f752]) ).
fof(f1889,plain,
e0 = op(e4,op(e2,e2)),
inference(forward_demodulation,[status(thm)],[f208,f205]) ).
fof(f1890,plain,
e0 = op(e4,e4),
inference(forward_demodulation,[status(thm)],[f208,f1889]) ).
fof(f1891,plain,
op(e4,e3) != e0,
inference(paramodulation,[status(thm)],[f1890,f194]) ).
fof(f1892,plain,
op(e4,e2) != e0,
inference(paramodulation,[status(thm)],[f1890,f193]) ).
fof(f1893,plain,
op(e4,e1) != e0,
inference(paramodulation,[status(thm)],[f1890,f191]) ).
fof(f1894,plain,
op(e4,e0) != e0,
inference(paramodulation,[status(thm)],[f1890,f188]) ).
fof(f1895,plain,
op(e3,e4) != e0,
inference(paramodulation,[status(thm)],[f1890,f144]) ).
fof(f1896,plain,
op(e2,e4) != e0,
inference(paramodulation,[status(thm)],[f1890,f143]) ).
fof(f1897,plain,
op(e1,e4) != e0,
inference(paramodulation,[status(thm)],[f1890,f141]) ).
fof(f1899,plain,
e1 = op(op(e2,e4),op(e2,e2)),
inference(forward_demodulation,[status(thm)],[f208,f206]) ).
fof(f1900,plain,
e1 = op(op(e2,e4),e4),
inference(forward_demodulation,[status(thm)],[f208,f1899]) ).
fof(f1901,plain,
e3 = op(e2,e4),
inference(forward_demodulation,[status(thm)],[f208,f207]) ).
fof(f1902,plain,
e1 = op(e3,e4),
inference(backward_demodulation,[status(thm)],[f1901,f1900]) ).
fof(f1904,plain,
op(e2,e3) != e3,
inference(paramodulation,[status(thm)],[f1901,f174]) ).
fof(f1905,plain,
op(e2,e2) != e3,
inference(paramodulation,[status(thm)],[f1901,f173]) ).
fof(f1906,plain,
op(e2,e1) != e3,
inference(paramodulation,[status(thm)],[f1901,f171]) ).
fof(f1909,plain,
op(e0,e4) != e3,
inference(paramodulation,[status(thm)],[f1901,f136]) ).
fof(f1911,plain,
op(e3,e3) != e1,
inference(paramodulation,[status(thm)],[f1902,f184]) ).
fof(f1912,plain,
op(e3,e2) != e1,
inference(paramodulation,[status(thm)],[f1902,f183]) ).
fof(f1940,plain,
( op(e0,e1) != e1
| ~ spl0_106 ),
inference(paramodulation,[status(thm)],[f916,f108]) ).
fof(f1941,plain,
( ~ spl0_6
| ~ spl0_106 ),
inference(split_clause,[status(thm)],[f1940,f595,f915]) ).
fof(f1943,plain,
( spl0_6
| ~ spl0_125 ),
inference(split_clause,[status(thm)],[f1809,f595,f976]) ).
fof(f1948,plain,
( e0 = e1
| ~ spl0_121 ),
inference(forward_demodulation,[status(thm)],[f1890,f964]) ).
fof(f1949,plain,
( $false
| ~ spl0_121 ),
inference(forward_subsumption_resolution,[status(thm)],[f1948,f195]) ).
fof(f1950,plain,
~ spl0_121,
inference(contradiction_clause,[status(thm)],[f1949]) ).
fof(f1955,plain,
( op(e4,e3) = e2
| ~ spl0_173 ),
inference(forward_demodulation,[status(thm)],[f1901,f1301]) ).
fof(f1965,plain,
( op(e2,e3) != e2
| ~ spl0_173 ),
inference(paramodulation,[status(thm)],[f1955,f133]) ).
fof(f1966,plain,
( ~ spl0_67
| ~ spl0_173 ),
inference(split_clause,[status(thm)],[f1965,f790,f1300]) ).
fof(f1971,plain,
( op(e4,e3) != e2
| spl0_173 ),
inference(forward_demodulation,[status(thm)],[f1901,f1302]) ).
fof(f1973,plain,
( op(e4,e0) = e4
| ~ spl0_143 ),
inference(forward_demodulation,[status(thm)],[f1890,f1090]) ).
fof(f1974,plain,
( $false
| ~ spl0_91 ),
inference(forward_subsumption_resolution,[status(thm)],[f868,f1911]) ).
fof(f1975,plain,
~ spl0_91,
inference(contradiction_clause,[status(thm)],[f1974]) ).
fof(f1976,plain,
( $false
| ~ spl0_86 ),
inference(forward_subsumption_resolution,[status(thm)],[f852,f1912]) ).
fof(f1977,plain,
~ spl0_86,
inference(contradiction_clause,[status(thm)],[f1976]) ).
fof(f1978,plain,
( $false
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[status(thm)],[f650,f1909]) ).
fof(f1979,plain,
~ spl0_23,
inference(contradiction_clause,[status(thm)],[f1978]) ).
fof(f1981,plain,
( ~ spl0_117
| spl0_173 ),
inference(split_clause,[status(thm)],[f1971,f950,f1300]) ).
fof(f1982,plain,
( e1 = e3
| ~ spl0_98 ),
inference(forward_demodulation,[status(thm)],[f1902,f890]) ).
fof(f1983,plain,
( $false
| ~ spl0_98 ),
inference(forward_subsumption_resolution,[status(thm)],[f1982,f200]) ).
fof(f1984,plain,
~ spl0_98,
inference(contradiction_clause,[status(thm)],[f1983]) ).
fof(f1987,plain,
( op(e3,e1) = e4
| ~ spl0_157 ),
inference(forward_demodulation,[status(thm)],[f1902,f1192]) ).
fof(f1988,plain,
( $false
| ~ spl0_110 ),
inference(forward_subsumption_resolution,[status(thm)],[f929,f1892]) ).
fof(f1989,plain,
~ spl0_110,
inference(contradiction_clause,[status(thm)],[f1988]) ).
fof(f1996,plain,
( e4 = e1
| ~ spl0_61 ),
inference(backward_demodulation,[status(thm)],[f772,f208]) ).
fof(f1997,plain,
( $false
| ~ spl0_61 ),
inference(forward_subsumption_resolution,[status(thm)],[f1996,f201]) ).
fof(f1998,plain,
~ spl0_61,
inference(contradiction_clause,[status(thm)],[f1997]) ).
fof(f2003,plain,
( op(e0,e1) != e1
| ~ spl0_56 ),
inference(paramodulation,[status(thm)],[f756,f106]) ).
fof(f2004,plain,
( ~ spl0_6
| ~ spl0_56 ),
inference(split_clause,[status(thm)],[f2003,f595,f755]) ).
fof(f2005,plain,
( op(e2,e1) = e1
| ~ spl0_36
| ~ spl0_182 ),
inference(backward_demodulation,[status(thm)],[f692,f1384]) ).
fof(f2006,plain,
( spl0_56
| ~ spl0_36
| ~ spl0_182 ),
inference(split_clause,[status(thm)],[f2005,f755,f691,f1383]) ).
fof(f2009,plain,
( op(e1,e0) != e1
| ~ spl0_36 ),
inference(paramodulation,[status(thm)],[f692,f156]) ).
fof(f2010,plain,
( ~ spl0_26
| ~ spl0_36 ),
inference(split_clause,[status(thm)],[f2009,f659,f691]) ).
fof(f2013,plain,
( ~ spl0_69
| ~ spl0_73
| spl0_172 ),
inference(split_clause,[status(thm)],[f1668,f796,f809,f1296]) ).
fof(f2014,plain,
( ~ spl0_51
| ~ spl0_101 ),
inference(split_clause,[status(thm)],[f1763,f739,f899]) ).
fof(f2015,plain,
( e1 = e2
| ~ spl0_36
| ~ spl0_126 ),
inference(forward_demodulation,[status(thm)],[f692,f1691]) ).
fof(f2016,plain,
( $false
| ~ spl0_36
| ~ spl0_126 ),
inference(forward_subsumption_resolution,[status(thm)],[f2015,f199]) ).
fof(f2017,plain,
( ~ spl0_36
| ~ spl0_126 ),
inference(contradiction_clause,[status(thm)],[f2016]) ).
fof(f2023,plain,
( e3 != e3
| spl0_73 ),
inference(forward_demodulation,[status(thm)],[f1901,f811]) ).
fof(f2024,plain,
( $false
| spl0_73 ),
inference(trivial_equality_resolution,[status(esa)],[f2023]) ).
fof(f2025,plain,
spl0_73,
inference(contradiction_clause,[status(thm)],[f2024]) ).
fof(f2026,plain,
( e1 != e1
| spl0_96 ),
inference(forward_demodulation,[status(thm)],[f1902,f885]) ).
fof(f2027,plain,
( $false
| spl0_96 ),
inference(trivial_equality_resolution,[status(esa)],[f2026]) ).
fof(f2028,plain,
spl0_96,
inference(contradiction_clause,[status(thm)],[f2027]) ).
fof(f2029,plain,
( e0 = e2
| ~ spl0_122 ),
inference(forward_demodulation,[status(thm)],[f1890,f967]) ).
fof(f2030,plain,
( $false
| ~ spl0_122 ),
inference(forward_subsumption_resolution,[status(thm)],[f2029,f196]) ).
fof(f2031,plain,
~ spl0_122,
inference(contradiction_clause,[status(thm)],[f2030]) ).
fof(f2032,plain,
( op(e2,e3) = e4
| ~ spl0_172 ),
inference(forward_demodulation,[status(thm)],[f1901,f1297]) ).
fof(f2033,plain,
( $false
| ~ spl0_95 ),
inference(forward_subsumption_resolution,[status(thm)],[f881,f1895]) ).
fof(f2034,plain,
~ spl0_95,
inference(contradiction_clause,[status(thm)],[f2033]) ).
fof(f2035,plain,
( $false
| ~ spl0_100 ),
inference(forward_subsumption_resolution,[status(thm)],[f897,f1894]) ).
fof(f2036,plain,
~ spl0_100,
inference(contradiction_clause,[status(thm)],[f2035]) ).
fof(f2037,plain,
( $false
| ~ spl0_70 ),
inference(forward_subsumption_resolution,[status(thm)],[f801,f1896]) ).
fof(f2038,plain,
~ spl0_70,
inference(contradiction_clause,[status(thm)],[f2037]) ).
fof(f2041,plain,
( $false
| ~ spl0_105 ),
inference(forward_subsumption_resolution,[status(thm)],[f913,f1893]) ).
fof(f2042,plain,
~ spl0_105,
inference(contradiction_clause,[status(thm)],[f2041]) ).
fof(f2060,plain,
( op(e2,e2) != e4
| ~ spl0_172 ),
inference(paramodulation,[status(thm)],[f2032,f172]) ).
fof(f2061,plain,
( ~ spl0_64
| ~ spl0_172 ),
inference(split_clause,[status(thm)],[f2060,f780,f1296]) ).
fof(f2067,plain,
( $false
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[status(thm)],[f778,f1905]) ).
fof(f2068,plain,
~ spl0_63,
inference(contradiction_clause,[status(thm)],[f2067]) ).
fof(f2085,plain,
( op(e3,e4) = e3
| ~ spl0_129 ),
inference(backward_demodulation,[status(thm)],[f989,f41]) ).
fof(f2086,plain,
( spl0_98
| ~ spl0_129 ),
inference(split_clause,[status(thm)],[f2085,f889,f988]) ).
fof(f2091,plain,
( e1 = e4
| ~ spl0_128 ),
inference(forward_demodulation,[status(thm)],[f1902,f1550]) ).
fof(f2092,plain,
( $false
| ~ spl0_128 ),
inference(forward_subsumption_resolution,[status(thm)],[f2091,f201]) ).
fof(f2093,plain,
~ spl0_128,
inference(contradiction_clause,[status(thm)],[f2092]) ).
fof(f2094,plain,
( $false
| ~ spl0_115 ),
inference(forward_subsumption_resolution,[status(thm)],[f945,f1891]) ).
fof(f2095,plain,
~ spl0_115,
inference(contradiction_clause,[status(thm)],[f2094]) ).
fof(f2096,plain,
( $false
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[status(thm)],[f721,f1897]) ).
fof(f2097,plain,
~ spl0_45,
inference(contradiction_clause,[status(thm)],[f2096]) ).
fof(f2108,plain,
( op(e0,e2) != e2
| ~ spl0_112 ),
inference(paramodulation,[status(thm)],[f935,f118]) ).
fof(f2115,plain,
( op(e3,e2) != e2
| ~ spl0_87
| spl0_152 ),
inference(backward_demodulation,[status(thm)],[f855,f1174]) ).
fof(f2116,plain,
( e2 != e2
| ~ spl0_87
| spl0_152 ),
inference(forward_demodulation,[status(thm)],[f855,f2115]) ).
fof(f2117,plain,
( $false
| ~ spl0_87
| spl0_152 ),
inference(trivial_equality_resolution,[status(esa)],[f2116]) ).
fof(f2118,plain,
( ~ spl0_87
| spl0_152 ),
inference(contradiction_clause,[status(thm)],[f2117]) ).
fof(f2125,plain,
( e4 = e2
| ~ spl0_62 ),
inference(backward_demodulation,[status(thm)],[f775,f208]) ).
fof(f2126,plain,
( $false
| ~ spl0_62 ),
inference(forward_subsumption_resolution,[status(thm)],[f2125,f203]) ).
fof(f2127,plain,
~ spl0_62,
inference(contradiction_clause,[status(thm)],[f2126]) ).
fof(f2132,plain,
( op(e0,e2) != e2
| ~ spl0_37 ),
inference(paramodulation,[status(thm)],[f695,f115]) ).
fof(f2134,plain,
( op(e2,e2) = e0
| ~ spl0_12
| ~ spl0_194 ),
inference(backward_demodulation,[status(thm)],[f615,f1480]) ).
fof(f2135,plain,
( spl0_60
| ~ spl0_12
| ~ spl0_194 ),
inference(split_clause,[status(thm)],[f2134,f768,f614,f1479]) ).
fof(f2136,plain,
( op(e0,e1) != e2
| ~ spl0_12 ),
inference(paramodulation,[status(thm)],[f615,f149]) ).
fof(f2137,plain,
( ~ spl0_7
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f2136,f598,f614]) ).
fof(f2152,plain,
( $false
| ~ spl0_68 ),
inference(forward_subsumption_resolution,[status(thm)],[f794,f1904]) ).
fof(f2153,plain,
~ spl0_68,
inference(contradiction_clause,[status(thm)],[f2152]) ).
fof(f2169,plain,
( e0 = e4
| ~ spl0_124 ),
inference(forward_demodulation,[status(thm)],[f1890,f973]) ).
fof(f2170,plain,
( $false
| ~ spl0_124 ),
inference(forward_subsumption_resolution,[status(thm)],[f2169,f198]) ).
fof(f2171,plain,
~ spl0_124,
inference(contradiction_clause,[status(thm)],[f2170]) ).
fof(f2191,plain,
( op(e0,e2) = e2
| ~ spl0_125 ),
inference(forward_demodulation,[status(thm)],[f977,f38]) ).
fof(f2192,plain,
( op(e0,e1) != e2
| ~ spl0_125 ),
inference(paramodulation,[status(thm)],[f2191,f149]) ).
fof(f2193,plain,
( ~ spl0_7
| ~ spl0_125 ),
inference(split_clause,[status(thm)],[f2192,f598,f976]) ).
fof(f2199,plain,
( op(e0,e1) = e1
| ~ spl0_125 ),
inference(forward_demodulation,[status(thm)],[f977,f36]) ).
fof(f2202,plain,
( op(e1,e1) = e0
| ~ spl0_125
| ~ spl0_192 ),
inference(backward_demodulation,[status(thm)],[f2199,f1472]) ).
fof(f2203,plain,
( spl0_30
| ~ spl0_125
| ~ spl0_192 ),
inference(split_clause,[status(thm)],[f2202,f672,f976,f1471]) ).
fof(f2219,plain,
( op(e4,e4) != e0
| ~ spl0_143
| spl0_131 ),
inference(forward_demodulation,[status(thm)],[f1973,f1047]) ).
fof(f2220,plain,
( e0 != e0
| ~ spl0_143
| spl0_131 ),
inference(forward_demodulation,[status(thm)],[f1890,f2219]) ).
fof(f2221,plain,
( $false
| ~ spl0_143
| spl0_131 ),
inference(trivial_equality_resolution,[status(esa)],[f2220]) ).
fof(f2222,plain,
( ~ spl0_143
| spl0_131 ),
inference(contradiction_clause,[status(thm)],[f2221]) ).
fof(f2238,plain,
( ~ spl0_12
| ~ spl0_112 ),
inference(split_clause,[status(thm)],[f2108,f614,f934]) ).
fof(f2240,plain,
( e2 != e2
| ~ spl0_125
| spl0_12 ),
inference(forward_demodulation,[status(thm)],[f2191,f616]) ).
fof(f2241,plain,
( $false
| ~ spl0_125
| spl0_12 ),
inference(trivial_equality_resolution,[status(esa)],[f2240]) ).
fof(f2242,plain,
( ~ spl0_125
| spl0_12 ),
inference(contradiction_clause,[status(thm)],[f2241]) ).
fof(f2244,plain,
( ~ spl0_12
| ~ spl0_37 ),
inference(split_clause,[status(thm)],[f2132,f614,f694]) ).
fof(f2257,plain,
( op(e1,e4) = e3
| ~ spl0_157
| ~ spl0_150 ),
inference(backward_demodulation,[status(thm)],[f1987,f1166]) ).
fof(f2258,plain,
( spl0_48
| ~ spl0_157
| ~ spl0_150 ),
inference(split_clause,[status(thm)],[f2257,f729,f1191,f1165]) ).
fof(f2290,plain,
( e1 = e4
| ~ spl0_99 ),
inference(forward_demodulation,[status(thm)],[f1902,f893]) ).
fof(f2291,plain,
( $false
| ~ spl0_99 ),
inference(forward_subsumption_resolution,[status(thm)],[f2290,f201]) ).
fof(f2292,plain,
~ spl0_99,
inference(contradiction_clause,[status(thm)],[f2291]) ).
fof(f2294,plain,
( e3 = e4
| ~ spl0_74 ),
inference(forward_demodulation,[status(thm)],[f1901,f813]) ).
fof(f2295,plain,
( $false
| ~ spl0_74 ),
inference(forward_subsumption_resolution,[status(thm)],[f2294,f204]) ).
fof(f2296,plain,
~ spl0_74,
inference(contradiction_clause,[status(thm)],[f2295]) ).
fof(f2298,plain,
( op(e4,e4) = e1
| ~ spl0_49
| ~ spl0_188 ),
inference(backward_demodulation,[status(thm)],[f733,f1406]) ).
fof(f2299,plain,
( spl0_121
| ~ spl0_49
| ~ spl0_188 ),
inference(split_clause,[status(thm)],[f2298,f963,f732,f1405]) ).
fof(f2311,plain,
( op(e0,e4) != e4
| ~ spl0_24
| spl0_197 ),
inference(backward_demodulation,[status(thm)],[f653,f1493]) ).
fof(f2312,plain,
( e4 != e4
| ~ spl0_24
| spl0_197 ),
inference(forward_demodulation,[status(thm)],[f653,f2311]) ).
fof(f2313,plain,
( $false
| ~ spl0_24
| spl0_197 ),
inference(trivial_equality_resolution,[status(esa)],[f2312]) ).
fof(f2314,plain,
( ~ spl0_24
| spl0_197 ),
inference(contradiction_clause,[status(thm)],[f2313]) ).
fof(f2328,plain,
( e3 = e2
| ~ spl0_72 ),
inference(backward_demodulation,[status(thm)],[f807,f1901]) ).
fof(f2329,plain,
( $false
| ~ spl0_72 ),
inference(forward_subsumption_resolution,[status(thm)],[f2328,f202]) ).
fof(f2330,plain,
~ spl0_72,
inference(contradiction_clause,[status(thm)],[f2329]) ).
fof(f2367,plain,
( $false
| ~ spl0_58 ),
inference(forward_subsumption_resolution,[status(thm)],[f762,f1906]) ).
fof(f2368,plain,
~ spl0_58,
inference(contradiction_clause,[status(thm)],[f2367]) ).
fof(f2369,plain,
$false,
inference(sat_refutation,[status(thm)],[f655,f735,f767,f799,f943,f991,f1012,f1014,f1015,f1017,f1032,f1034,f1036,f1037,f1041,f1048,f1059,f1063,f1070,f1074,f1092,f1093,f1121,f1168,f1175,f1179,f1194,f1230,f1269,f1273,f1280,f1281,f1303,f1315,f1325,f1374,f1375,f1382,f1386,f1404,f1408,f1416,f1417,f1422,f1432,f1435,f1438,f1450,f1451,f1452,f1458,f1470,f1474,f1482,f1494,f1498,f1501,f1521,f1525,f1548,f1580,f1599,f1605,f1611,f1617,f1619,f1667,f1673,f1713,f1747,f1767,f1780,f1789,f1793,f1794,f1797,f1808,f1826,f1828,f1833,f1836,f1843,f1850,f1851,f1852,f1866,f1873,f1888,f1941,f1943,f1950,f1966,f1975,f1977,f1979,f1981,f1984,f1989,f1998,f2004,f2006,f2010,f2013,f2014,f2017,f2025,f2028,f2031,f2034,f2036,f2038,f2042,f2061,f2068,f2086,f2093,f2095,f2097,f2118,f2127,f2135,f2137,f2153,f2171,f2193,f2203,f2222,f2238,f2242,f2244,f2258,f2292,f2296,f2299,f2314,f2330,f2368]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : ALG055+1 : TPTP v8.1.2. Released v2.7.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.35 % Computer : n003.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Mon Apr 29 23:39:48 EDT 2024
% 0.12/0.35 % CPUTime :
% 0.12/0.37 % Drodi V3.6.0
% 1.76/0.60 % Refutation found
% 1.76/0.60 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.76/0.60 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.76/0.61 % Elapsed time: 0.255876 seconds
% 1.76/0.61 % CPU time: 1.804649 seconds
% 1.76/0.61 % Total memory used: 41.079 MB
% 1.76/0.61 % Net memory used: 40.174 MB
%------------------------------------------------------------------------------