TSTP Solution File: ALG062+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG062+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n006.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 20:09:23 EDT 2024
% Result : Theorem 0.14s 0.44s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 114
% Syntax : Number of formulae : 583 ( 130 unt; 0 def)
% Number of atoms : 4332 (3601 equ)
% Maximal formula atoms : 400 ( 7 avg)
% Number of connectives : 6123 (2374 ~;1767 |;1875 &)
% ( 103 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 109 ( 107 usr; 108 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e0) = e4 )
& ( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4 )
& ( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4 )
& ( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 )
& ( op(e0,e4) = e0
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 )
& ( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = e4 )
& ( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3
| op(e1,e1) = e4 )
& ( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3
| op(e1,e2) = e4 )
& ( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3
| op(e1,e3) = e4 )
& ( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4 )
& ( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3
| op(e2,e0) = e4 )
& ( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 )
& ( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3
| op(e2,e2) = e4 )
& ( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3
| op(e2,e3) = e4 )
& ( op(e2,e4) = e0
| op(e2,e4) = e1
| op(e2,e4) = e2
| op(e2,e4) = e3
| op(e2,e4) = e4 )
& ( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 )
& ( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4 )
& ( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 )
& ( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3
| op(e3,e3) = e4 )
& ( op(e3,e4) = e0
| op(e3,e4) = e1
| op(e3,e4) = e2
| op(e3,e4) = e3
| op(e3,e4) = e4 )
& ( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 )
& ( op(e4,e1) = e0
| op(e4,e1) = e1
| op(e4,e1) = e2
| op(e4,e1) = e3
| op(e4,e1) = e4 )
& ( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3
| op(e4,e2) = e4 )
& ( op(e4,e3) = e0
| op(e4,e3) = e1
| op(e4,e3) = e2
| op(e4,e3) = e3
| op(e4,e3) = e4 )
& ( op(e4,e4) = e0
| op(e4,e4) = e1
| op(e4,e4) = e2
| op(e4,e4) = e3
| op(e4,e4) = e4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
( op(unit,e0) = e0
& op(e0,unit) = e0
& op(unit,e1) = e1
& op(e1,unit) = e1
& op(unit,e2) = e2
& op(e2,unit) = e2
& op(unit,e3) = e3
& op(e3,unit) = e3
& op(unit,e4) = e4
& op(e4,unit) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
( ( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0
| op(e0,e4) = e0 )
& ( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0
| op(e4,e0) = e0 )
& ( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e4) = e1 )
& ( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e4,e0) = e1 )
& ( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2
| op(e0,e4) = e2 )
& ( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2
| op(e4,e0) = e2 )
& ( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3
| op(e0,e4) = e3 )
& ( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3
| op(e4,e0) = e3 )
& ( op(e0,e0) = e4
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e3) = e4
| op(e0,e4) = e4 )
& ( op(e0,e0) = e4
| op(e1,e0) = e4
| op(e2,e0) = e4
| op(e3,e0) = e4
| op(e4,e0) = e4 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e4) = e0 )
& ( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e1) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1
| op(e1,e4) = e1 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e4,e1) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2
| op(e1,e4) = e2 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 )
& ( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4
| op(e1,e4) = e4 )
& ( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2
| op(e2,e4) = e2 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3
| op(e2,e4) = e3 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 )
& ( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 )
& ( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e4) = e0 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1
| op(e3,e4) = e1 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e4,e3) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2
| op(e3,e4) = e2 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3
| op(e3,e4) = e3 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3
| op(e4,e3) = e3 )
& ( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e3) = e4
| op(e3,e4) = e4 )
& ( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4
| op(e4,e3) = e4 )
& ( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e4) = e0
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 )
& ( op(e4,e0) = e1
| op(e4,e1) = e1
| op(e4,e2) = e1
| op(e4,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 )
& ( op(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e4) = e2
| op(e1,e4) = e2
| op(e2,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 )
& ( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 )
& ( op(e4,e0) = e4
| op(e4,e1) = e4
| op(e4,e2) = e4
| op(e4,e3) = e4
| op(e4,e4) = e4 )
& ( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4
| op(e4,e4) = e4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e2,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e3,e0) != op(e4,e0)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e4,e1)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e3,e1) != op(e4,e1)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e4,e2)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e3,e2) != op(e4,e2)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e4,e3)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e3,e3) != op(e4,e3)
& op(e0,e4) != op(e1,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e4,e4)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,e4)
& op(e3,e4) != op(e4,e4)
& op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e4)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& op(e0,e3) != op(e0,e4)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e3) != op(e1,e4)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e4)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e3) != op(e2,e4)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e4)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e3) != op(e3,e4)
& op(e4,e0) != op(e4,e1)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e4)
& op(e4,e1) != op(e4,e2)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e2) != op(e4,e4)
& op(e4,e3) != op(e4,e4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
( e0 = op(e1,op(op(e1,e1),op(e1,e1)))
& e2 = op(op(e1,e1),op(e1,e1))
& e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
& e4 = op(e1,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,conjecture,
~ ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = 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/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
~ ~ ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = 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(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(f21,plain,
( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3
| op(e2,e2) = e4 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f25,plain,
( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f32,plain,
( op(e4,e3) = e0
| op(e4,e3) = e1
| op(e4,e3) = e2
| op(e4,e3) = e3
| op(e4,e3) = 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(f40,plain,
op(unit,e3) = e3,
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(f59,plain,
( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2
| op(e1,e4) = e2 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f62,plain,
( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f65,plain,
( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(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(f80,plain,
( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f86,plain,
( op(e0,e4) = e0
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f88,plain,
( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f90,plain,
( op(e0,e4) = e2
| op(e1,e4) = e2
| op(e2,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f91,plain,
( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f92,plain,
( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f97,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f104,plain,
op(e3,e0) != op(e4,e0),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f105,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f107,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f109,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f110,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f111,plain,
op(e1,e1) != op(e4,e1),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f112,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f116,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f120,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f121,plain,
op(e1,e2) != op(e4,e2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f123,plain,
op(e2,e2) != op(e4,e2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f129,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f130,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f131,plain,
op(e1,e3) != op(e4,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f134,plain,
op(e3,e3) != op(e4,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f135,plain,
op(e0,e4) != op(e1,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f138,plain,
op(e0,e4) != op(e4,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(f150,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f153,plain,
op(e0,e2) != op(e0,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f155,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f158,plain,
op(e1,e0) != op(e1,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f159,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f161,plain,
op(e1,e1) != op(e1,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f163,plain,
op(e1,e2) != op(e1,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f164,plain,
op(e1,e3) != op(e1,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f166,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f169,plain,
op(e2,e1) != op(e2,e2),
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(f175,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f177,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f178,plain,
op(e3,e0) != op(e3,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f179,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f180,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f184,plain,
op(e3,e3) != op(e3,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f192,plain,
op(e4,e2) != op(e4,e3),
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(f197,plain,
e0 != e3,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f198,plain,
e0 != e4,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f199,plain,
e1 != e2,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f200,plain,
e1 != e3,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f201,plain,
e1 != e4,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f202,plain,
e2 != e3,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f203,plain,
e2 != e4,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f204,plain,
e3 != e4,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f205,plain,
e0 = op(e1,op(op(e1,e1),op(e1,e1))),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f206,plain,
e2 = op(op(e1,e1),op(e1,e1)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f207,plain,
e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f208,plain,
e4 = op(e1,e1),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f209,plain,
( pd0_0
=> ( ( ( 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(f210,plain,
( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ( pd0_0
| ( ( 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,f209]) ).
fof(f211,plain,
( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
inference(cnf_transformation,[status(esa)],[f210]) ).
fof(f212,plain,
( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
inference(cnf_transformation,[status(esa)],[f210]) ).
fof(f228,plain,
( pd0_0
| op(e1,e1) != e4
| op(e1,e4) = e1 ),
inference(cnf_transformation,[status(esa)],[f210]) ).
fof(f262,plain,
( pd0_0
| op(e4,e3) != e4
| op(e4,e4) = e3 ),
inference(cnf_transformation,[status(esa)],[f210]) ).
fof(f266,plain,
( ~ pd0_0
| ( ( 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)],[f209]) ).
fof(f267,plain,
( pd0_1
=> ( ( ( 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,[f266]) ).
fof(f268,plain,
( ~ pd0_0
| pd0_1
| ( ( 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)],[f266,f267]) ).
fof(f293,plain,
( ~ pd0_0
| pd0_1
| op(e2,e2) != e3
| op(e2,e3) = e2 ),
inference(cnf_transformation,[status(esa)],[f268]) ).
fof(f294,plain,
( ~ pd0_0
| pd0_1
| op(e2,e2) != e3
| e3 != unit ),
inference(cnf_transformation,[status(esa)],[f268]) ).
fof(f319,plain,
( ~ pd0_1
| ( ( 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)],[f267]) ).
fof(f320,plain,
( pd0_2
=> ( ( ( 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,[f319]) ).
fof(f321,plain,
( ~ pd0_1
| pd0_2
| ( ( 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)],[f319,f320]) ).
fof(f328,plain,
( ~ pd0_1
| pd0_2
| op(e0,e3) != e2
| op(e0,e2) = e3 ),
inference(cnf_transformation,[status(esa)],[f321]) ).
fof(f338,plain,
( ~ pd0_1
| pd0_2
| op(e1,e3) != e2
| op(e1,e2) = e3 ),
inference(cnf_transformation,[status(esa)],[f321]) ).
fof(f370,plain,
( ~ pd0_1
| pd0_2
| op(e4,e4) != e2
| op(e4,e2) = e4 ),
inference(cnf_transformation,[status(esa)],[f321]) ).
fof(f372,plain,
( ~ pd0_2
| ( ( 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)],[f320]) ).
fof(f373,plain,
( pd0_3
=> ( ( 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,[f372]) ).
fof(f374,plain,
( ~ pd0_2
| pd0_3
| ( ( 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)],[f372,f373]) ).
fof(f383,plain,
( ~ pd0_2
| pd0_3
| op(e0,e4) != e1
| op(e0,e1) = e4 ),
inference(cnf_transformation,[status(esa)],[f374]) ).
fof(f385,plain,
( ~ pd0_2
| pd0_3
| op(e1,e0) != e1
| op(e1,e1) = e0 ),
inference(cnf_transformation,[status(esa)],[f374]) ).
fof(f391,plain,
( ~ pd0_2
| pd0_3
| op(e1,e3) != e1
| op(e1,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f374]) ).
fof(f425,plain,
( ~ pd0_3
| ( ( 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)],[f373]) ).
fof(f427,plain,
( ~ pd0_3
| op(e0,e0) != e0
| e0 != unit ),
inference(cnf_transformation,[status(esa)],[f425]) ).
fof(f432,plain,
( ~ pd0_3
| op(e0,e3) != e0
| op(e0,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f425]) ).
fof(f434,plain,
( ~ pd0_3
| op(e0,e4) != e0
| op(e0,e0) = e4 ),
inference(cnf_transformation,[status(esa)],[f425]) ).
fof(f442,plain,
( ~ pd0_3
| op(e1,e3) != e0
| op(e1,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f425]) ).
fof(f447,plain,
( ~ pd0_3
| op(e2,e0) != e0
| e0 != unit ),
inference(cnf_transformation,[status(esa)],[f425]) ).
fof(f449,plain,
( ~ pd0_3
| op(e2,e1) != e0
| e0 != unit ),
inference(cnf_transformation,[status(esa)],[f425]) ).
fof(f452,plain,
( ~ pd0_3
| op(e2,e3) != e0
| op(e2,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f425]) ).
fof(f454,plain,
( ~ pd0_3
| op(e2,e4) != e0
| op(e2,e0) = e4 ),
inference(cnf_transformation,[status(esa)],[f425]) ).
fof(f458,plain,
( ~ pd0_3
| op(e3,e1) != e0
| op(e3,e0) = e1 ),
inference(cnf_transformation,[status(esa)],[f425]) ).
fof(f462,plain,
( ~ pd0_3
| op(e3,e3) != e0
| op(e3,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f425]) ).
fof(f464,plain,
( ~ pd0_3
| op(e3,e4) != e0
| op(e3,e0) = e4 ),
inference(cnf_transformation,[status(esa)],[f425]) ).
fof(f476,plain,
( spl0_0
<=> op(e0,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f477,plain,
( op(e0,e0) = e0
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f476]) ).
fof(f479,plain,
( spl0_1
<=> op(e0,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f480,plain,
( op(e0,e0) = e1
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f479]) ).
fof(f485,plain,
( spl0_3
<=> op(e0,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f488,plain,
( spl0_4
<=> op(e0,e0) = e4 ),
introduced(split_symbol_definition) ).
fof(f489,plain,
( op(e0,e0) = e4
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f488]) ).
fof(f495,plain,
( spl0_6
<=> op(e0,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f501,plain,
( spl0_8
<=> op(e0,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f504,plain,
( spl0_9
<=> op(e0,e1) = e4 ),
introduced(split_symbol_definition) ).
fof(f505,plain,
( op(e0,e1) = e4
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f504]) ).
fof(f511,plain,
( spl0_11
<=> op(e0,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f512,plain,
( op(e0,e2) = e1
| ~ spl0_11 ),
inference(component_clause,[status(thm)],[f511]) ).
fof(f517,plain,
( spl0_13
<=> op(e0,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f518,plain,
( op(e0,e2) = e3
| ~ spl0_13 ),
inference(component_clause,[status(thm)],[f517]) ).
fof(f524,plain,
( spl0_15
<=> op(e0,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f527,plain,
( spl0_16
<=> op(e0,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f528,plain,
( op(e0,e3) = e1
| ~ spl0_16 ),
inference(component_clause,[status(thm)],[f527]) ).
fof(f530,plain,
( spl0_17
<=> op(e0,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f531,plain,
( op(e0,e3) = e2
| ~ spl0_17 ),
inference(component_clause,[status(thm)],[f530]) ).
fof(f533,plain,
( spl0_18
<=> op(e0,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f534,plain,
( op(e0,e3) = e3
| ~ spl0_18 ),
inference(component_clause,[status(thm)],[f533]) ).
fof(f540,plain,
( spl0_20
<=> op(e0,e4) = e0 ),
introduced(split_symbol_definition) ).
fof(f543,plain,
( spl0_21
<=> op(e0,e4) = e1 ),
introduced(split_symbol_definition) ).
fof(f544,plain,
( op(e0,e4) = e1
| ~ spl0_21 ),
inference(component_clause,[status(thm)],[f543]) ).
fof(f546,plain,
( spl0_22
<=> op(e0,e4) = e2 ),
introduced(split_symbol_definition) ).
fof(f547,plain,
( op(e0,e4) = e2
| ~ spl0_22 ),
inference(component_clause,[status(thm)],[f546]) ).
fof(f549,plain,
( spl0_23
<=> op(e0,e4) = e3 ),
introduced(split_symbol_definition) ).
fof(f550,plain,
( op(e0,e4) = e3
| ~ spl0_23 ),
inference(component_clause,[status(thm)],[f549]) ).
fof(f559,plain,
( spl0_26
<=> op(e1,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f560,plain,
( op(e1,e0) = e1
| ~ spl0_26 ),
inference(component_clause,[status(thm)],[f559]) ).
fof(f562,plain,
( spl0_27
<=> op(e1,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f563,plain,
( op(e1,e0) = e2
| ~ spl0_27 ),
inference(component_clause,[status(thm)],[f562]) ).
fof(f565,plain,
( spl0_28
<=> op(e1,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f566,plain,
( op(e1,e0) = e3
| ~ spl0_28 ),
inference(component_clause,[status(thm)],[f565]) ).
fof(f568,plain,
( spl0_29
<=> op(e1,e0) = e4 ),
introduced(split_symbol_definition) ).
fof(f569,plain,
( op(e1,e0) = e4
| ~ spl0_29 ),
inference(component_clause,[status(thm)],[f568]) ).
fof(f572,plain,
( spl0_30
<=> op(e1,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f573,plain,
( op(e1,e1) = e0
| ~ spl0_30 ),
inference(component_clause,[status(thm)],[f572]) ).
fof(f575,plain,
( spl0_31
<=> op(e1,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f576,plain,
( op(e1,e1) = e1
| ~ spl0_31 ),
inference(component_clause,[status(thm)],[f575]) ).
fof(f578,plain,
( spl0_32
<=> op(e1,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f579,plain,
( op(e1,e1) = e2
| ~ spl0_32 ),
inference(component_clause,[status(thm)],[f578]) ).
fof(f581,plain,
( spl0_33
<=> op(e1,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f582,plain,
( op(e1,e1) = e3
| ~ spl0_33 ),
inference(component_clause,[status(thm)],[f581]) ).
fof(f584,plain,
( spl0_34
<=> op(e1,e1) = e4 ),
introduced(split_symbol_definition) ).
fof(f586,plain,
( op(e1,e1) != e4
| spl0_34 ),
inference(component_clause,[status(thm)],[f584]) ).
fof(f594,plain,
( spl0_37
<=> op(e1,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f595,plain,
( op(e1,e2) = e2
| ~ spl0_37 ),
inference(component_clause,[status(thm)],[f594]) ).
fof(f597,plain,
( spl0_38
<=> op(e1,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f598,plain,
( op(e1,e2) = e3
| ~ spl0_38 ),
inference(component_clause,[status(thm)],[f597]) ).
fof(f600,plain,
( spl0_39
<=> op(e1,e2) = e4 ),
introduced(split_symbol_definition) ).
fof(f601,plain,
( op(e1,e2) = e4
| ~ spl0_39 ),
inference(component_clause,[status(thm)],[f600]) ).
fof(f604,plain,
( spl0_40
<=> op(e1,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f607,plain,
( spl0_41
<=> op(e1,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f608,plain,
( op(e1,e3) = e1
| ~ spl0_41 ),
inference(component_clause,[status(thm)],[f607]) ).
fof(f610,plain,
( spl0_42
<=> op(e1,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f611,plain,
( op(e1,e3) = e2
| ~ spl0_42 ),
inference(component_clause,[status(thm)],[f610]) ).
fof(f613,plain,
( spl0_43
<=> op(e1,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f614,plain,
( op(e1,e3) = e3
| ~ spl0_43 ),
inference(component_clause,[status(thm)],[f613]) ).
fof(f620,plain,
( spl0_45
<=> op(e1,e4) = e0 ),
introduced(split_symbol_definition) ).
fof(f621,plain,
( op(e1,e4) = e0
| ~ spl0_45 ),
inference(component_clause,[status(thm)],[f620]) ).
fof(f623,plain,
( spl0_46
<=> op(e1,e4) = e1 ),
introduced(split_symbol_definition) ).
fof(f624,plain,
( op(e1,e4) = e1
| ~ spl0_46 ),
inference(component_clause,[status(thm)],[f623]) ).
fof(f626,plain,
( spl0_47
<=> op(e1,e4) = e2 ),
introduced(split_symbol_definition) ).
fof(f627,plain,
( op(e1,e4) = e2
| ~ spl0_47 ),
inference(component_clause,[status(thm)],[f626]) ).
fof(f629,plain,
( spl0_48
<=> op(e1,e4) = e3 ),
introduced(split_symbol_definition) ).
fof(f630,plain,
( op(e1,e4) = e3
| ~ spl0_48 ),
inference(component_clause,[status(thm)],[f629]) ).
fof(f632,plain,
( spl0_49
<=> op(e1,e4) = e4 ),
introduced(split_symbol_definition) ).
fof(f635,plain,
( spl0_45
| spl0_46
| spl0_47
| spl0_48
| spl0_49 ),
inference(split_clause,[status(thm)],[f18,f620,f623,f626,f629,f632]) ).
fof(f636,plain,
( spl0_50
<=> op(e2,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f639,plain,
( spl0_51
<=> op(e2,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f640,plain,
( op(e2,e0) = e1
| ~ spl0_51 ),
inference(component_clause,[status(thm)],[f639]) ).
fof(f645,plain,
( spl0_53
<=> op(e2,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f646,plain,
( op(e2,e0) = e3
| ~ spl0_53 ),
inference(component_clause,[status(thm)],[f645]) ).
fof(f648,plain,
( spl0_54
<=> op(e2,e0) = e4 ),
introduced(split_symbol_definition) ).
fof(f649,plain,
( op(e2,e0) = e4
| ~ spl0_54 ),
inference(component_clause,[status(thm)],[f648]) ).
fof(f652,plain,
( spl0_55
<=> op(e2,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f655,plain,
( spl0_56
<=> op(e2,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f656,plain,
( op(e2,e1) = e1
| ~ spl0_56 ),
inference(component_clause,[status(thm)],[f655]) ).
fof(f661,plain,
( spl0_58
<=> op(e2,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f662,plain,
( op(e2,e1) = e3
| ~ spl0_58 ),
inference(component_clause,[status(thm)],[f661]) ).
fof(f664,plain,
( spl0_59
<=> op(e2,e1) = e4 ),
introduced(split_symbol_definition) ).
fof(f665,plain,
( op(e2,e1) = e4
| ~ spl0_59 ),
inference(component_clause,[status(thm)],[f664]) ).
fof(f668,plain,
( spl0_60
<=> op(e2,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f669,plain,
( op(e2,e2) = e0
| ~ spl0_60 ),
inference(component_clause,[status(thm)],[f668]) ).
fof(f671,plain,
( spl0_61
<=> op(e2,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f672,plain,
( op(e2,e2) = e1
| ~ spl0_61 ),
inference(component_clause,[status(thm)],[f671]) ).
fof(f674,plain,
( spl0_62
<=> op(e2,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f675,plain,
( op(e2,e2) = e2
| ~ spl0_62 ),
inference(component_clause,[status(thm)],[f674]) ).
fof(f677,plain,
( spl0_63
<=> op(e2,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f680,plain,
( spl0_64
<=> op(e2,e2) = e4 ),
introduced(split_symbol_definition) ).
fof(f681,plain,
( op(e2,e2) = e4
| ~ spl0_64 ),
inference(component_clause,[status(thm)],[f680]) ).
fof(f683,plain,
( spl0_60
| spl0_61
| spl0_62
| spl0_63
| spl0_64 ),
inference(split_clause,[status(thm)],[f21,f668,f671,f674,f677,f680]) ).
fof(f684,plain,
( spl0_65
<=> op(e2,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f687,plain,
( spl0_66
<=> op(e2,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f688,plain,
( op(e2,e3) = e1
| ~ spl0_66 ),
inference(component_clause,[status(thm)],[f687]) ).
fof(f690,plain,
( spl0_67
<=> op(e2,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f691,plain,
( op(e2,e3) = e2
| ~ spl0_67 ),
inference(component_clause,[status(thm)],[f690]) ).
fof(f693,plain,
( spl0_68
<=> op(e2,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f694,plain,
( op(e2,e3) = e3
| ~ spl0_68 ),
inference(component_clause,[status(thm)],[f693]) ).
fof(f700,plain,
( spl0_70
<=> op(e2,e4) = e0 ),
introduced(split_symbol_definition) ).
fof(f701,plain,
( op(e2,e4) = e0
| ~ spl0_70 ),
inference(component_clause,[status(thm)],[f700]) ).
fof(f703,plain,
( spl0_71
<=> op(e2,e4) = e1 ),
introduced(split_symbol_definition) ).
fof(f704,plain,
( op(e2,e4) = e1
| ~ spl0_71 ),
inference(component_clause,[status(thm)],[f703]) ).
fof(f706,plain,
( spl0_72
<=> op(e2,e4) = e2 ),
introduced(split_symbol_definition) ).
fof(f707,plain,
( op(e2,e4) = e2
| ~ spl0_72 ),
inference(component_clause,[status(thm)],[f706]) ).
fof(f709,plain,
( spl0_73
<=> op(e2,e4) = e3 ),
introduced(split_symbol_definition) ).
fof(f710,plain,
( op(e2,e4) = e3
| ~ spl0_73 ),
inference(component_clause,[status(thm)],[f709]) ).
fof(f719,plain,
( spl0_76
<=> op(e3,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f725,plain,
( spl0_78
<=> op(e3,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f726,plain,
( op(e3,e0) = e3
| ~ spl0_78 ),
inference(component_clause,[status(thm)],[f725]) ).
fof(f728,plain,
( spl0_79
<=> op(e3,e0) = e4 ),
introduced(split_symbol_definition) ).
fof(f729,plain,
( op(e3,e0) = e4
| ~ spl0_79 ),
inference(component_clause,[status(thm)],[f728]) ).
fof(f732,plain,
( spl0_80
<=> op(e3,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f735,plain,
( spl0_81
<=> op(e3,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f736,plain,
( op(e3,e1) = e1
| ~ spl0_81 ),
inference(component_clause,[status(thm)],[f735]) ).
fof(f738,plain,
( spl0_82
<=> op(e3,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f741,plain,
( spl0_83
<=> op(e3,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f744,plain,
( spl0_84
<=> op(e3,e1) = e4 ),
introduced(split_symbol_definition) ).
fof(f745,plain,
( op(e3,e1) = e4
| ~ spl0_84 ),
inference(component_clause,[status(thm)],[f744]) ).
fof(f747,plain,
( spl0_80
| spl0_81
| spl0_82
| spl0_83
| spl0_84 ),
inference(split_clause,[status(thm)],[f25,f732,f735,f738,f741,f744]) ).
fof(f748,plain,
( spl0_85
<=> op(e3,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f749,plain,
( op(e3,e2) = e0
| ~ spl0_85 ),
inference(component_clause,[status(thm)],[f748]) ).
fof(f754,plain,
( spl0_87
<=> op(e3,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f755,plain,
( op(e3,e2) = e2
| ~ spl0_87 ),
inference(component_clause,[status(thm)],[f754]) ).
fof(f764,plain,
( spl0_90
<=> op(e3,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f765,plain,
( op(e3,e3) = e0
| ~ spl0_90 ),
inference(component_clause,[status(thm)],[f764]) ).
fof(f767,plain,
( spl0_91
<=> op(e3,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f768,plain,
( op(e3,e3) = e1
| ~ spl0_91 ),
inference(component_clause,[status(thm)],[f767]) ).
fof(f770,plain,
( spl0_92
<=> op(e3,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f771,plain,
( op(e3,e3) = e2
| ~ spl0_92 ),
inference(component_clause,[status(thm)],[f770]) ).
fof(f773,plain,
( spl0_93
<=> op(e3,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f774,plain,
( op(e3,e3) = e3
| ~ spl0_93 ),
inference(component_clause,[status(thm)],[f773]) ).
fof(f780,plain,
( spl0_95
<=> op(e3,e4) = e0 ),
introduced(split_symbol_definition) ).
fof(f783,plain,
( spl0_96
<=> op(e3,e4) = e1 ),
introduced(split_symbol_definition) ).
fof(f784,plain,
( op(e3,e4) = e1
| ~ spl0_96 ),
inference(component_clause,[status(thm)],[f783]) ).
fof(f786,plain,
( spl0_97
<=> op(e3,e4) = e2 ),
introduced(split_symbol_definition) ).
fof(f787,plain,
( op(e3,e4) = e2
| ~ spl0_97 ),
inference(component_clause,[status(thm)],[f786]) ).
fof(f789,plain,
( spl0_98
<=> op(e3,e4) = e3 ),
introduced(split_symbol_definition) ).
fof(f805,plain,
( spl0_103
<=> op(e4,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f806,plain,
( op(e4,e0) = e3
| ~ spl0_103 ),
inference(component_clause,[status(thm)],[f805]) ).
fof(f821,plain,
( spl0_108
<=> op(e4,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f824,plain,
( spl0_109
<=> op(e4,e1) = e4 ),
introduced(split_symbol_definition) ).
fof(f825,plain,
( op(e4,e1) = e4
| ~ spl0_109 ),
inference(component_clause,[status(thm)],[f824]) ).
fof(f828,plain,
( spl0_110
<=> op(e4,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f829,plain,
( op(e4,e2) = e0
| ~ spl0_110 ),
inference(component_clause,[status(thm)],[f828]) ).
fof(f834,plain,
( spl0_112
<=> op(e4,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f835,plain,
( op(e4,e2) = e2
| ~ spl0_112 ),
inference(component_clause,[status(thm)],[f834]) ).
fof(f837,plain,
( spl0_113
<=> op(e4,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f838,plain,
( op(e4,e2) = e3
| ~ spl0_113 ),
inference(component_clause,[status(thm)],[f837]) ).
fof(f840,plain,
( spl0_114
<=> op(e4,e2) = e4 ),
introduced(split_symbol_definition) ).
fof(f841,plain,
( op(e4,e2) = e4
| ~ spl0_114 ),
inference(component_clause,[status(thm)],[f840]) ).
fof(f844,plain,
( spl0_115
<=> op(e4,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f847,plain,
( spl0_116
<=> op(e4,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f848,plain,
( op(e4,e3) = e1
| ~ spl0_116 ),
inference(component_clause,[status(thm)],[f847]) ).
fof(f850,plain,
( spl0_117
<=> op(e4,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f851,plain,
( op(e4,e3) = e2
| ~ spl0_117 ),
inference(component_clause,[status(thm)],[f850]) ).
fof(f853,plain,
( spl0_118
<=> op(e4,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f854,plain,
( op(e4,e3) = e3
| ~ spl0_118 ),
inference(component_clause,[status(thm)],[f853]) ).
fof(f856,plain,
( spl0_119
<=> op(e4,e3) = e4 ),
introduced(split_symbol_definition) ).
fof(f859,plain,
( spl0_115
| spl0_116
| spl0_117
| spl0_118
| spl0_119 ),
inference(split_clause,[status(thm)],[f32,f844,f847,f850,f853,f856]) ).
fof(f860,plain,
( spl0_120
<=> op(e4,e4) = e0 ),
introduced(split_symbol_definition) ).
fof(f861,plain,
( op(e4,e4) = e0
| ~ spl0_120 ),
inference(component_clause,[status(thm)],[f860]) ).
fof(f863,plain,
( spl0_121
<=> op(e4,e4) = e1 ),
introduced(split_symbol_definition) ).
fof(f864,plain,
( op(e4,e4) = e1
| ~ spl0_121 ),
inference(component_clause,[status(thm)],[f863]) ).
fof(f866,plain,
( spl0_122
<=> op(e4,e4) = e2 ),
introduced(split_symbol_definition) ).
fof(f867,plain,
( op(e4,e4) = e2
| ~ spl0_122 ),
inference(component_clause,[status(thm)],[f866]) ).
fof(f869,plain,
( spl0_123
<=> op(e4,e4) = e3 ),
introduced(split_symbol_definition) ).
fof(f870,plain,
( op(e4,e4) = e3
| ~ spl0_123 ),
inference(component_clause,[status(thm)],[f869]) ).
fof(f872,plain,
( spl0_124
<=> op(e4,e4) = e4 ),
introduced(split_symbol_definition) ).
fof(f873,plain,
( op(e4,e4) = e4
| ~ spl0_124 ),
inference(component_clause,[status(thm)],[f872]) ).
fof(f876,plain,
( spl0_125
<=> unit = e0 ),
introduced(split_symbol_definition) ).
fof(f877,plain,
( unit = e0
| ~ spl0_125 ),
inference(component_clause,[status(thm)],[f876]) ).
fof(f879,plain,
( spl0_126
<=> unit = e1 ),
introduced(split_symbol_definition) ).
fof(f880,plain,
( unit = e1
| ~ spl0_126 ),
inference(component_clause,[status(thm)],[f879]) ).
fof(f882,plain,
( spl0_127
<=> unit = e2 ),
introduced(split_symbol_definition) ).
fof(f883,plain,
( unit = e2
| ~ spl0_127 ),
inference(component_clause,[status(thm)],[f882]) ).
fof(f885,plain,
( spl0_128
<=> unit = e3 ),
introduced(split_symbol_definition) ).
fof(f886,plain,
( unit = e3
| ~ spl0_128 ),
inference(component_clause,[status(thm)],[f885]) ).
fof(f888,plain,
( spl0_129
<=> unit = e4 ),
introduced(split_symbol_definition) ).
fof(f889,plain,
( unit = e4
| ~ spl0_129 ),
inference(component_clause,[status(thm)],[f888]) ).
fof(f891,plain,
( spl0_125
| spl0_126
| spl0_127
| spl0_128
| spl0_129 ),
inference(split_clause,[status(thm)],[f44,f876,f879,f882,f885,f888]) ).
fof(f906,plain,
( spl0_27
| spl0_32
| spl0_37
| spl0_42
| spl0_47 ),
inference(split_clause,[status(thm)],[f59,f562,f578,f594,f610,f626]) ).
fof(f909,plain,
( spl0_8
| spl0_33
| spl0_58
| spl0_83
| spl0_108 ),
inference(split_clause,[status(thm)],[f62,f501,f581,f661,f741,f821]) ).
fof(f912,plain,
( spl0_50
| spl0_55
| spl0_60
| spl0_65
| spl0_70 ),
inference(split_clause,[status(thm)],[f65,f636,f652,f668,f684,f700]) ).
fof(f914,plain,
( spl0_51
| spl0_56
| spl0_61
| spl0_66
| spl0_71 ),
inference(split_clause,[status(thm)],[f67,f639,f655,f671,f687,f703]) ).
fof(f927,plain,
( spl0_17
| spl0_42
| spl0_67
| spl0_92
| spl0_117 ),
inference(split_clause,[status(thm)],[f80,f530,f610,f690,f770,f850]) ).
fof(f933,plain,
( spl0_20
| spl0_45
| spl0_70
| spl0_95
| spl0_120 ),
inference(split_clause,[status(thm)],[f86,f540,f620,f700,f780,f860]) ).
fof(f935,plain,
( spl0_21
| spl0_46
| spl0_71
| spl0_96
| spl0_121 ),
inference(split_clause,[status(thm)],[f88,f543,f623,f703,f783,f863]) ).
fof(f937,plain,
( spl0_22
| spl0_47
| spl0_72
| spl0_97
| spl0_122 ),
inference(split_clause,[status(thm)],[f90,f546,f626,f706,f786,f866]) ).
fof(f938,plain,
( spl0_103
| spl0_108
| spl0_113
| spl0_118
| spl0_123 ),
inference(split_clause,[status(thm)],[f91,f805,f821,f837,f853,f869]) ).
fof(f939,plain,
( spl0_23
| spl0_48
| spl0_73
| spl0_98
| spl0_123 ),
inference(split_clause,[status(thm)],[f92,f549,f629,f709,f789,f869]) ).
fof(f942,plain,
( spl0_0
| spl0_30
| spl0_60
| spl0_90
| spl0_120 ),
inference(split_clause,[status(thm)],[f211,f476,f572,f668,f764,f860]) ).
fof(f943,plain,
( spl0_1
| spl0_31
| spl0_61
| spl0_91
| spl0_121 ),
inference(split_clause,[status(thm)],[f212,f479,f575,f671,f767,f863]) ).
fof(f947,plain,
( spl0_130
<=> pd0_0 ),
introduced(split_symbol_definition) ).
fof(f962,plain,
( spl0_130
| ~ spl0_34
| spl0_46 ),
inference(split_clause,[status(thm)],[f228,f947,f584,f623]) ).
fof(f996,plain,
( spl0_130
| ~ spl0_119
| spl0_123 ),
inference(split_clause,[status(thm)],[f262,f947,f856,f869]) ).
fof(f1000,plain,
( spl0_131
<=> pd0_1 ),
introduced(split_symbol_definition) ).
fof(f1027,plain,
( ~ spl0_130
| spl0_131
| ~ spl0_63
| spl0_67 ),
inference(split_clause,[status(thm)],[f293,f947,f1000,f677,f690]) ).
fof(f1028,plain,
( ~ spl0_130
| spl0_131
| ~ spl0_63
| ~ spl0_128 ),
inference(split_clause,[status(thm)],[f294,f947,f1000,f677,f885]) ).
fof(f1053,plain,
( spl0_132
<=> pd0_2 ),
introduced(split_symbol_definition) ).
fof(f1062,plain,
( ~ spl0_131
| spl0_132
| ~ spl0_17
| spl0_13 ),
inference(split_clause,[status(thm)],[f328,f1000,f1053,f530,f517]) ).
fof(f1072,plain,
( ~ spl0_131
| spl0_132
| ~ spl0_42
| spl0_38 ),
inference(split_clause,[status(thm)],[f338,f1000,f1053,f610,f597]) ).
fof(f1104,plain,
( ~ spl0_131
| spl0_132
| ~ spl0_122
| spl0_114 ),
inference(split_clause,[status(thm)],[f370,f1000,f1053,f866,f840]) ).
fof(f1106,plain,
( spl0_133
<=> pd0_3 ),
introduced(split_symbol_definition) ).
fof(f1117,plain,
( ~ spl0_132
| spl0_133
| ~ spl0_21
| spl0_9 ),
inference(split_clause,[status(thm)],[f383,f1053,f1106,f543,f504]) ).
fof(f1119,plain,
( ~ spl0_132
| spl0_133
| ~ spl0_26
| spl0_30 ),
inference(split_clause,[status(thm)],[f385,f1053,f1106,f559,f572]) ).
fof(f1125,plain,
( ~ spl0_132
| spl0_133
| ~ spl0_41
| spl0_33 ),
inference(split_clause,[status(thm)],[f391,f1053,f1106,f607,f581]) ).
fof(f1160,plain,
( ~ spl0_133
| ~ spl0_0
| ~ spl0_125 ),
inference(split_clause,[status(thm)],[f427,f1106,f476,f876]) ).
fof(f1165,plain,
( ~ spl0_133
| ~ spl0_15
| spl0_3 ),
inference(split_clause,[status(thm)],[f432,f1106,f524,f485]) ).
fof(f1167,plain,
( ~ spl0_133
| ~ spl0_20
| spl0_4 ),
inference(split_clause,[status(thm)],[f434,f1106,f540,f488]) ).
fof(f1175,plain,
( ~ spl0_133
| ~ spl0_40
| spl0_28 ),
inference(split_clause,[status(thm)],[f442,f1106,f604,f565]) ).
fof(f1180,plain,
( ~ spl0_133
| ~ spl0_50
| ~ spl0_125 ),
inference(split_clause,[status(thm)],[f447,f1106,f636,f876]) ).
fof(f1182,plain,
( ~ spl0_133
| ~ spl0_55
| ~ spl0_125 ),
inference(split_clause,[status(thm)],[f449,f1106,f652,f876]) ).
fof(f1185,plain,
( ~ spl0_133
| ~ spl0_65
| spl0_53 ),
inference(split_clause,[status(thm)],[f452,f1106,f684,f645]) ).
fof(f1187,plain,
( ~ spl0_133
| ~ spl0_70
| spl0_54 ),
inference(split_clause,[status(thm)],[f454,f1106,f700,f648]) ).
fof(f1191,plain,
( ~ spl0_133
| ~ spl0_80
| spl0_76 ),
inference(split_clause,[status(thm)],[f458,f1106,f732,f719]) ).
fof(f1195,plain,
( ~ spl0_133
| ~ spl0_90
| spl0_78 ),
inference(split_clause,[status(thm)],[f462,f1106,f764,f725]) ).
fof(f1197,plain,
( ~ spl0_133
| ~ spl0_95
| spl0_79 ),
inference(split_clause,[status(thm)],[f464,f1106,f780,f728]) ).
fof(f1209,plain,
e3 = op(e2,op(op(e1,e1),op(e1,e1))),
inference(forward_demodulation,[status(thm)],[f206,f207]) ).
fof(f1210,plain,
e3 = op(e2,e2),
inference(forward_demodulation,[status(thm)],[f206,f1209]) ).
fof(f1212,plain,
( e4 != e4
| spl0_34 ),
inference(forward_demodulation,[status(thm)],[f208,f586]) ).
fof(f1213,plain,
( $false
| spl0_34 ),
inference(trivial_equality_resolution,[status(esa)],[f1212]) ).
fof(f1214,plain,
spl0_34,
inference(contradiction_clause,[status(thm)],[f1213]) ).
fof(f1221,plain,
( e2 = e3
| ~ spl0_122
| ~ spl0_123 ),
inference(forward_demodulation,[status(thm)],[f867,f870]) ).
fof(f1222,plain,
( $false
| ~ spl0_122
| ~ spl0_123 ),
inference(forward_subsumption_resolution,[status(thm)],[f1221,f202]) ).
fof(f1223,plain,
( ~ spl0_122
| ~ spl0_123 ),
inference(contradiction_clause,[status(thm)],[f1222]) ).
fof(f1224,plain,
( e3 = e0
| ~ spl0_60 ),
inference(forward_demodulation,[status(thm)],[f1210,f669]) ).
fof(f1225,plain,
( $false
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[status(thm)],[f1224,f197]) ).
fof(f1226,plain,
~ spl0_60,
inference(contradiction_clause,[status(thm)],[f1225]) ).
fof(f1227,plain,
( e4 = e0
| ~ spl0_30 ),
inference(forward_demodulation,[status(thm)],[f208,f573]) ).
fof(f1228,plain,
( $false
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[status(thm)],[f1227,f198]) ).
fof(f1229,plain,
~ spl0_30,
inference(contradiction_clause,[status(thm)],[f1228]) ).
fof(f1233,plain,
( e1 = e0
| ~ spl0_1
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f480,f477]) ).
fof(f1234,plain,
( $false
| ~ spl0_1
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f1233,f195]) ).
fof(f1235,plain,
( ~ spl0_1
| ~ spl0_0 ),
inference(contradiction_clause,[status(thm)],[f1234]) ).
fof(f1236,plain,
( e3 = e1
| ~ spl0_61 ),
inference(forward_demodulation,[status(thm)],[f1210,f672]) ).
fof(f1237,plain,
( $false
| ~ spl0_61 ),
inference(forward_subsumption_resolution,[status(thm)],[f1236,f200]) ).
fof(f1238,plain,
~ spl0_61,
inference(contradiction_clause,[status(thm)],[f1237]) ).
fof(f1239,plain,
( e4 = e3
| ~ spl0_33 ),
inference(forward_demodulation,[status(thm)],[f208,f582]) ).
fof(f1240,plain,
( $false
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[status(thm)],[f1239,f204]) ).
fof(f1241,plain,
~ spl0_33,
inference(contradiction_clause,[status(thm)],[f1240]) ).
fof(f1242,plain,
( e4 = e2
| ~ spl0_32 ),
inference(forward_demodulation,[status(thm)],[f208,f579]) ).
fof(f1243,plain,
( $false
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[status(thm)],[f1242,f203]) ).
fof(f1244,plain,
~ spl0_32,
inference(contradiction_clause,[status(thm)],[f1243]) ).
fof(f1245,plain,
( e4 = e1
| ~ spl0_31 ),
inference(forward_demodulation,[status(thm)],[f208,f576]) ).
fof(f1246,plain,
( $false
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[status(thm)],[f1245,f201]) ).
fof(f1247,plain,
~ spl0_31,
inference(contradiction_clause,[status(thm)],[f1246]) ).
fof(f1251,plain,
( e3 = e2
| ~ spl0_62 ),
inference(forward_demodulation,[status(thm)],[f1210,f675]) ).
fof(f1252,plain,
( $false
| ~ spl0_62 ),
inference(forward_subsumption_resolution,[status(thm)],[f1251,f202]) ).
fof(f1253,plain,
~ spl0_62,
inference(contradiction_clause,[status(thm)],[f1252]) ).
fof(f1281,plain,
( e1 = e3
| ~ spl0_26
| ~ spl0_28 ),
inference(forward_demodulation,[status(thm)],[f560,f566]) ).
fof(f1282,plain,
( $false
| ~ spl0_26
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[status(thm)],[f1281,f200]) ).
fof(f1283,plain,
( ~ spl0_26
| ~ spl0_28 ),
inference(contradiction_clause,[status(thm)],[f1282]) ).
fof(f1305,plain,
( e3 = e1
| ~ spl0_23
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f550,f544]) ).
fof(f1306,plain,
( $false
| ~ spl0_23
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[status(thm)],[f1305,f200]) ).
fof(f1307,plain,
( ~ spl0_23
| ~ spl0_21 ),
inference(contradiction_clause,[status(thm)],[f1306]) ).
fof(f1320,plain,
( e1 = e2
| ~ spl0_66
| ~ spl0_67 ),
inference(forward_demodulation,[status(thm)],[f688,f691]) ).
fof(f1321,plain,
( $false
| ~ spl0_66
| ~ spl0_67 ),
inference(forward_subsumption_resolution,[status(thm)],[f1320,f199]) ).
fof(f1322,plain,
( ~ spl0_66
| ~ spl0_67 ),
inference(contradiction_clause,[status(thm)],[f1321]) ).
fof(f1323,plain,
( e1 = e2
| ~ spl0_41
| ~ spl0_42 ),
inference(forward_demodulation,[status(thm)],[f608,f611]) ).
fof(f1324,plain,
( $false
| ~ spl0_41
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[status(thm)],[f1323,f199]) ).
fof(f1325,plain,
( ~ spl0_41
| ~ spl0_42 ),
inference(contradiction_clause,[status(thm)],[f1324]) ).
fof(f1329,plain,
( e1 = e2
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f528,f531]) ).
fof(f1330,plain,
( $false
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[status(thm)],[f1329,f199]) ).
fof(f1331,plain,
( ~ spl0_16
| ~ spl0_17 ),
inference(contradiction_clause,[status(thm)],[f1330]) ).
fof(f1332,plain,
e0 = op(e1,e2),
inference(backward_demodulation,[status(thm)],[f206,f205]) ).
fof(f1333,plain,
( e0 = e2
| ~ spl0_37 ),
inference(forward_demodulation,[status(thm)],[f595,f1332]) ).
fof(f1334,plain,
( $false
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[status(thm)],[f1333,f196]) ).
fof(f1335,plain,
~ spl0_37,
inference(contradiction_clause,[status(thm)],[f1334]) ).
fof(f1336,plain,
e3 != op(e2,e4),
inference(backward_demodulation,[status(thm)],[f1210,f173]) ).
fof(f1338,plain,
e3 != op(e2,e3),
inference(backward_demodulation,[status(thm)],[f1210,f172]) ).
fof(f1339,plain,
op(e2,e1) != e3,
inference(backward_demodulation,[status(thm)],[f1210,f169]) ).
fof(f1341,plain,
op(e2,e0) != e3,
inference(backward_demodulation,[status(thm)],[f1210,f166]) ).
fof(f1342,plain,
e3 != op(e4,e2),
inference(backward_demodulation,[status(thm)],[f1210,f123]) ).
fof(f1346,plain,
op(e0,e2) != e3,
inference(backward_demodulation,[status(thm)],[f1210,f116]) ).
fof(f1347,plain,
e2 = op(op(e1,e1),e4),
inference(backward_demodulation,[status(thm)],[f208,f206]) ).
fof(f1348,plain,
e2 = op(e4,e4),
inference(forward_demodulation,[status(thm)],[f208,f1347]) ).
fof(f1349,plain,
( e2 = e4
| ~ spl0_124 ),
inference(forward_demodulation,[status(thm)],[f873,f1348]) ).
fof(f1350,plain,
( $false
| ~ spl0_124 ),
inference(forward_subsumption_resolution,[status(thm)],[f1349,f203]) ).
fof(f1351,plain,
~ spl0_124,
inference(contradiction_clause,[status(thm)],[f1350]) ).
fof(f1352,plain,
e4 != op(e1,e4),
inference(backward_demodulation,[status(thm)],[f208,f161]) ).
fof(f1355,plain,
e4 != op(e1,e2),
inference(backward_demodulation,[status(thm)],[f208,f159]) ).
fof(f1356,plain,
op(e1,e0) != e4,
inference(backward_demodulation,[status(thm)],[f208,f155]) ).
fof(f1357,plain,
e4 != op(e4,e1),
inference(backward_demodulation,[status(thm)],[f208,f111]) ).
fof(f1358,plain,
e4 != op(e3,e1),
inference(backward_demodulation,[status(thm)],[f208,f110]) ).
fof(f1360,plain,
e4 != op(e2,e1),
inference(backward_demodulation,[status(thm)],[f208,f109]) ).
fof(f1362,plain,
op(e0,e1) != e4,
inference(backward_demodulation,[status(thm)],[f208,f105]) ).
fof(f1364,plain,
( e3 = e4
| ~ spl0_64 ),
inference(forward_demodulation,[status(thm)],[f1210,f681]) ).
fof(f1365,plain,
( $false
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[status(thm)],[f1364,f204]) ).
fof(f1366,plain,
~ spl0_64,
inference(contradiction_clause,[status(thm)],[f1365]) ).
fof(f1377,plain,
( e3 != op(e4,e3)
| ~ spl0_93 ),
inference(forward_demodulation,[status(thm)],[f774,f134]) ).
fof(f1407,plain,
( e1 != op(e3,e1)
| ~ spl0_56 ),
inference(forward_demodulation,[status(thm)],[f656,f112]) ).
fof(f1408,plain,
( e1 != e1
| ~ spl0_81
| ~ spl0_56 ),
inference(forward_demodulation,[status(thm)],[f736,f1407]) ).
fof(f1409,plain,
( $false
| ~ spl0_81
| ~ spl0_56 ),
inference(trivial_equality_resolution,[status(esa)],[f1408]) ).
fof(f1410,plain,
( ~ spl0_81
| ~ spl0_56 ),
inference(contradiction_clause,[status(thm)],[f1409]) ).
fof(f1421,plain,
( $false
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[status(thm)],[f518,f1346]) ).
fof(f1422,plain,
~ spl0_13,
inference(contradiction_clause,[status(thm)],[f1421]) ).
fof(f1425,plain,
( $false
| ~ spl0_93
| ~ spl0_118 ),
inference(forward_subsumption_resolution,[status(thm)],[f854,f1377]) ).
fof(f1426,plain,
( ~ spl0_93
| ~ spl0_118 ),
inference(contradiction_clause,[status(thm)],[f1425]) ).
fof(f1427,plain,
( $false
| ~ spl0_68 ),
inference(forward_subsumption_resolution,[status(thm)],[f694,f1338]) ).
fof(f1428,plain,
~ spl0_68,
inference(contradiction_clause,[status(thm)],[f1427]) ).
fof(f1443,plain,
( $false
| ~ spl0_53 ),
inference(forward_subsumption_resolution,[status(thm)],[f646,f1341]) ).
fof(f1444,plain,
~ spl0_53,
inference(contradiction_clause,[status(thm)],[f1443]) ).
fof(f1456,plain,
( e3 != op(e1,e4)
| ~ spl0_43 ),
inference(forward_demodulation,[status(thm)],[f614,f164]) ).
fof(f1477,plain,
( e1 != op(e1,e4)
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f544,f135]) ).
fof(f1478,plain,
( e1 != e1
| ~ spl0_46
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f624,f1477]) ).
fof(f1479,plain,
( $false
| ~ spl0_46
| ~ spl0_21 ),
inference(trivial_equality_resolution,[status(esa)],[f1478]) ).
fof(f1480,plain,
( ~ spl0_46
| ~ spl0_21 ),
inference(contradiction_clause,[status(thm)],[f1479]) ).
fof(f1488,plain,
( $false
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[status(thm)],[f569,f1356]) ).
fof(f1489,plain,
~ spl0_29,
inference(contradiction_clause,[status(thm)],[f1488]) ).
fof(f1490,plain,
( $false
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[status(thm)],[f601,f1355]) ).
fof(f1491,plain,
~ spl0_39,
inference(contradiction_clause,[status(thm)],[f1490]) ).
fof(f1499,plain,
( e4 = e1
| ~ spl0_54
| ~ spl0_51 ),
inference(forward_demodulation,[status(thm)],[f649,f640]) ).
fof(f1500,plain,
( $false
| ~ spl0_54
| ~ spl0_51 ),
inference(forward_subsumption_resolution,[status(thm)],[f1499,f201]) ).
fof(f1501,plain,
( ~ spl0_54
| ~ spl0_51 ),
inference(contradiction_clause,[status(thm)],[f1500]) ).
fof(f1513,plain,
e0 != op(e3,e2),
inference(forward_demodulation,[status(thm)],[f1332,f120]) ).
fof(f1532,plain,
op(e0,e4) != e2,
inference(forward_demodulation,[status(thm)],[f1348,f138]) ).
fof(f1549,plain,
( e4 != e4
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f505,f1362]) ).
fof(f1550,plain,
( $false
| ~ spl0_9 ),
inference(trivial_equality_resolution,[status(esa)],[f1549]) ).
fof(f1551,plain,
~ spl0_9,
inference(contradiction_clause,[status(thm)],[f1550]) ).
fof(f1566,plain,
( e4 = e3
| ~ spl0_79
| ~ spl0_78 ),
inference(forward_demodulation,[status(thm)],[f729,f726]) ).
fof(f1567,plain,
( $false
| ~ spl0_79
| ~ spl0_78 ),
inference(forward_subsumption_resolution,[status(thm)],[f1566,f204]) ).
fof(f1568,plain,
( ~ spl0_79
| ~ spl0_78 ),
inference(contradiction_clause,[status(thm)],[f1567]) ).
fof(f1571,plain,
( op(e3,e1) != e0
| ~ spl0_90 ),
inference(backward_demodulation,[status(thm)],[f765,f180]) ).
fof(f1593,plain,
( $false
| ~ spl0_84 ),
inference(forward_subsumption_resolution,[status(thm)],[f745,f1358]) ).
fof(f1594,plain,
~ spl0_84,
inference(contradiction_clause,[status(thm)],[f1593]) ).
fof(f1595,plain,
e0 != op(e1,e4),
inference(forward_demodulation,[status(thm)],[f1332,f163]) ).
fof(f1596,plain,
op(e1,e4) != e2,
inference(forward_demodulation,[status(thm)],[f1348,f141]) ).
fof(f1603,plain,
( ~ spl0_48
| ~ spl0_43 ),
inference(split_clause,[status(thm)],[f1456,f629,f613]) ).
fof(f1604,plain,
op(e3,e4) != e2,
inference(forward_demodulation,[status(thm)],[f1348,f144]) ).
fof(f1616,plain,
op(e4,e2) != e2,
inference(backward_demodulation,[status(thm)],[f1348,f193]) ).
fof(f1642,plain,
( $false
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[status(thm)],[f665,f1360]) ).
fof(f1643,plain,
~ spl0_59,
inference(contradiction_clause,[status(thm)],[f1642]) ).
fof(f1696,plain,
( op(e3,e1) != e2
| ~ spl0_87 ),
inference(backward_demodulation,[status(thm)],[f755,f179]) ).
fof(f1703,plain,
( $false
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[status(thm)],[f547,f1532]) ).
fof(f1704,plain,
~ spl0_22,
inference(contradiction_clause,[status(thm)],[f1703]) ).
fof(f1721,plain,
( op(e1,e4) = e4
| ~ spl0_126 ),
inference(backward_demodulation,[status(thm)],[f880,f42]) ).
fof(f1722,plain,
( $false
| ~ spl0_126 ),
inference(forward_subsumption_resolution,[status(thm)],[f1721,f1352]) ).
fof(f1723,plain,
~ spl0_126,
inference(contradiction_clause,[status(thm)],[f1722]) ).
fof(f1731,plain,
( e2 = e0
| ~ spl0_120 ),
inference(forward_demodulation,[status(thm)],[f1348,f861]) ).
fof(f1732,plain,
( $false
| ~ spl0_120 ),
inference(forward_subsumption_resolution,[status(thm)],[f1731,f196]) ).
fof(f1733,plain,
~ spl0_120,
inference(contradiction_clause,[status(thm)],[f1732]) ).
fof(f1743,plain,
( e3 != op(e3,e4)
| ~ spl0_48 ),
inference(backward_demodulation,[status(thm)],[f630,f140]) ).
fof(f1744,plain,
( ~ spl0_98
| ~ spl0_48 ),
inference(split_clause,[status(thm)],[f1743,f789,f629]) ).
fof(f1759,plain,
( e1 = e4
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f480,f489]) ).
fof(f1760,plain,
( $false
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f1759,f201]) ).
fof(f1761,plain,
( ~ spl0_1
| ~ spl0_4 ),
inference(contradiction_clause,[status(thm)],[f1760]) ).
fof(f1763,plain,
( ~ spl0_80
| ~ spl0_90 ),
inference(split_clause,[status(thm)],[f1571,f732,f764]) ).
fof(f1776,plain,
( e3 != op(e3,e1)
| ~ spl0_78 ),
inference(forward_demodulation,[status(thm)],[f726,f175]) ).
fof(f1780,plain,
( op(e3,e0) != e3
| ~ spl0_103 ),
inference(backward_demodulation,[status(thm)],[f806,f104]) ).
fof(f1781,plain,
( ~ spl0_78
| ~ spl0_103 ),
inference(split_clause,[status(thm)],[f1780,f725,f805]) ).
fof(f1798,plain,
( e3 != op(e3,e4)
| ~ spl0_78 ),
inference(forward_demodulation,[status(thm)],[f726,f178]) ).
fof(f1806,plain,
op(e4,e3) != e2,
inference(forward_demodulation,[status(thm)],[f1348,f194]) ).
fof(f1808,plain,
op(e2,e4) != e2,
inference(forward_demodulation,[status(thm)],[f1348,f143]) ).
fof(f1809,plain,
( e2 != e2
| ~ spl0_72 ),
inference(forward_demodulation,[status(thm)],[f707,f1808]) ).
fof(f1810,plain,
( $false
| ~ spl0_72 ),
inference(trivial_equality_resolution,[status(esa)],[f1809]) ).
fof(f1811,plain,
~ spl0_72,
inference(contradiction_clause,[status(thm)],[f1810]) ).
fof(f1817,plain,
( op(e3,e3) = e3
| ~ spl0_128 ),
inference(backward_demodulation,[status(thm)],[f886,f41]) ).
fof(f1818,plain,
( spl0_93
| ~ spl0_128 ),
inference(split_clause,[status(thm)],[f1817,f773,f885]) ).
fof(f1822,plain,
( op(e3,e2) = e2
| ~ spl0_128 ),
inference(backward_demodulation,[status(thm)],[f886,f38]) ).
fof(f1823,plain,
( spl0_87
| ~ spl0_128 ),
inference(split_clause,[status(thm)],[f1822,f754,f885]) ).
fof(f1824,plain,
( op(e1,e3) = e1
| ~ spl0_128 ),
inference(backward_demodulation,[status(thm)],[f886,f37]) ).
fof(f1825,plain,
( spl0_41
| ~ spl0_128 ),
inference(split_clause,[status(thm)],[f1824,f607,f885]) ).
fof(f1826,plain,
( op(e3,e1) = e1
| ~ spl0_128 ),
inference(backward_demodulation,[status(thm)],[f886,f36]) ).
fof(f1827,plain,
( spl0_81
| ~ spl0_128 ),
inference(split_clause,[status(thm)],[f1826,f735,f885]) ).
fof(f1828,plain,
( op(e0,e3) = e0
| ~ spl0_128 ),
inference(backward_demodulation,[status(thm)],[f886,f35]) ).
fof(f1829,plain,
( spl0_15
| ~ spl0_128 ),
inference(split_clause,[status(thm)],[f1828,f524,f885]) ).
fof(f1839,plain,
( e1 != op(e0,e4)
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f512,f153]) ).
fof(f1850,plain,
( op(e3,e0) != e1
| ~ spl0_91 ),
inference(backward_demodulation,[status(thm)],[f768,f177]) ).
fof(f1866,plain,
( op(e1,e3) != e1
| ~ spl0_91 ),
inference(forward_demodulation,[status(thm)],[f768,f130]) ).
fof(f1867,plain,
( e1 != op(e3,e4)
| ~ spl0_91 ),
inference(forward_demodulation,[status(thm)],[f768,f184]) ).
fof(f1893,plain,
( op(e0,e1) != e3
| ~ spl0_18 ),
inference(backward_demodulation,[status(thm)],[f534,f150]) ).
fof(f1894,plain,
( ~ spl0_8
| ~ spl0_18 ),
inference(split_clause,[status(thm)],[f1893,f501,f533]) ).
fof(f1901,plain,
( $false
| ~ spl0_112 ),
inference(forward_subsumption_resolution,[status(thm)],[f835,f1616]) ).
fof(f1902,plain,
~ spl0_112,
inference(contradiction_clause,[status(thm)],[f1901]) ).
fof(f1903,plain,
( e4 != op(e4,e3)
| ~ spl0_114 ),
inference(forward_demodulation,[status(thm)],[f841,f192]) ).
fof(f1904,plain,
( ~ spl0_119
| ~ spl0_114 ),
inference(split_clause,[status(thm)],[f1903,f856,f840]) ).
fof(f1911,plain,
( e2 = e1
| ~ spl0_121 ),
inference(forward_demodulation,[status(thm)],[f1348,f864]) ).
fof(f1912,plain,
( $false
| ~ spl0_121 ),
inference(forward_subsumption_resolution,[status(thm)],[f1911,f199]) ).
fof(f1913,plain,
~ spl0_121,
inference(contradiction_clause,[status(thm)],[f1912]) ).
fof(f1955,plain,
( $false
| ~ spl0_91
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[status(thm)],[f608,f1866]) ).
fof(f1956,plain,
( ~ spl0_91
| ~ spl0_41 ),
inference(contradiction_clause,[status(thm)],[f1955]) ).
fof(f1958,plain,
( e0 = e3
| ~ spl0_38 ),
inference(forward_demodulation,[status(thm)],[f1332,f598]) ).
fof(f1959,plain,
( $false
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[status(thm)],[f1958,f197]) ).
fof(f1960,plain,
~ spl0_38,
inference(contradiction_clause,[status(thm)],[f1959]) ).
fof(f1969,plain,
( ~ spl0_83
| ~ spl0_78 ),
inference(split_clause,[status(thm)],[f1776,f741,f725]) ).
fof(f1986,plain,
( $false
| ~ spl0_73 ),
inference(forward_subsumption_resolution,[status(thm)],[f710,f1336]) ).
fof(f1987,plain,
~ spl0_73,
inference(contradiction_clause,[status(thm)],[f1986]) ).
fof(f2001,plain,
( ~ spl0_21
| ~ spl0_11 ),
inference(split_clause,[status(thm)],[f1839,f543,f511]) ).
fof(f2010,plain,
( $false
| ~ spl0_109 ),
inference(forward_subsumption_resolution,[status(thm)],[f825,f1357]) ).
fof(f2011,plain,
~ spl0_109,
inference(contradiction_clause,[status(thm)],[f2010]) ).
fof(f2050,plain,
( e2 != e2
| ~ spl0_47 ),
inference(forward_demodulation,[status(thm)],[f627,f1596]) ).
fof(f2051,plain,
( $false
| ~ spl0_47 ),
inference(trivial_equality_resolution,[status(esa)],[f2050]) ).
fof(f2052,plain,
~ spl0_47,
inference(contradiction_clause,[status(thm)],[f2051]) ).
fof(f2074,plain,
( e2 != e2
| ~ spl0_117 ),
inference(forward_demodulation,[status(thm)],[f851,f1806]) ).
fof(f2075,plain,
( $false
| ~ spl0_117 ),
inference(trivial_equality_resolution,[status(esa)],[f2074]) ).
fof(f2076,plain,
~ spl0_117,
inference(contradiction_clause,[status(thm)],[f2075]) ).
fof(f2096,plain,
( op(e2,e2) = e2
| ~ spl0_127 ),
inference(backward_demodulation,[status(thm)],[f883,f38]) ).
fof(f2097,plain,
( spl0_62
| ~ spl0_127 ),
inference(split_clause,[status(thm)],[f2096,f674,f882]) ).
fof(f2197,plain,
( ~ spl0_76
| ~ spl0_91 ),
inference(split_clause,[status(thm)],[f1850,f719,f767]) ).
fof(f2205,plain,
( op(e0,e0) = e0
| ~ spl0_125 ),
inference(forward_demodulation,[status(thm)],[f877,f34]) ).
fof(f2207,plain,
( op(e0,e1) = e1
| ~ spl0_125 ),
inference(forward_demodulation,[status(thm)],[f877,f36]) ).
fof(f2208,plain,
( op(e1,e0) = e1
| ~ spl0_125 ),
inference(forward_demodulation,[status(thm)],[f877,f37]) ).
fof(f2208_001,plain,
( op(e1,e0) = e1
| ~ spl0_125 ),
inference(forward_demodulation,[status(thm)],[f877,f37]) ).
fof(f2209,plain,
( e2 = e1
| ~ spl0_27
| ~ spl0_125 ),
inference(forward_demodulation,[status(thm)],[f563,f2208]) ).
fof(f2210,plain,
( $false
| ~ spl0_27
| ~ spl0_125 ),
inference(forward_subsumption_resolution,[status(thm)],[f2209,f199]) ).
fof(f2211,plain,
( ~ spl0_27
| ~ spl0_125 ),
inference(contradiction_clause,[status(thm)],[f2210]) ).
fof(f2233,plain,
( $false
| ~ spl0_97 ),
inference(forward_subsumption_resolution,[status(thm)],[f787,f1604]) ).
fof(f2234,plain,
~ spl0_97,
inference(contradiction_clause,[status(thm)],[f2233]) ).
fof(f2241,plain,
( ~ spl0_98
| ~ spl0_78 ),
inference(split_clause,[status(thm)],[f1798,f789,f725]) ).
fof(f2242,plain,
( ~ spl0_82
| ~ spl0_87 ),
inference(split_clause,[status(thm)],[f1696,f738,f754]) ).
fof(f2255,plain,
( $false
| ~ spl0_113 ),
inference(forward_subsumption_resolution,[status(thm)],[f838,f1342]) ).
fof(f2256,plain,
~ spl0_113,
inference(contradiction_clause,[status(thm)],[f2255]) ).
fof(f2258,plain,
( op(e1,e3) != e1
| ~ spl0_116 ),
inference(forward_demodulation,[status(thm)],[f848,f131]) ).
fof(f2291,plain,
( e0 != op(e3,e4)
| ~ spl0_90 ),
inference(backward_demodulation,[status(thm)],[f765,f184]) ).
fof(f2292,plain,
( ~ spl0_95
| ~ spl0_90 ),
inference(split_clause,[status(thm)],[f2291,f780,f764]) ).
fof(f2296,plain,
( e2 = e0
| ~ spl0_92
| ~ spl0_90 ),
inference(forward_demodulation,[status(thm)],[f771,f765]) ).
fof(f2297,plain,
( $false
| ~ spl0_92
| ~ spl0_90 ),
inference(forward_subsumption_resolution,[status(thm)],[f2296,f196]) ).
fof(f2298,plain,
( ~ spl0_92
| ~ spl0_90 ),
inference(contradiction_clause,[status(thm)],[f2297]) ).
fof(f2318,plain,
( op(e0,e0) != e3
| ~ spl0_78 ),
inference(backward_demodulation,[status(thm)],[f726,f97]) ).
fof(f2371,plain,
( op(e4,e4) = e4
| ~ spl0_129 ),
inference(backward_demodulation,[status(thm)],[f889,f43]) ).
fof(f2372,plain,
( spl0_124
| ~ spl0_129 ),
inference(split_clause,[status(thm)],[f2371,f872,f888]) ).
fof(f2392,plain,
( ~ spl0_96
| ~ spl0_91 ),
inference(split_clause,[status(thm)],[f1867,f783,f767]) ).
fof(f2405,plain,
( op(e2,e4) != e1
| ~ spl0_96 ),
inference(backward_demodulation,[status(thm)],[f784,f142]) ).
fof(f2406,plain,
( ~ spl0_71
| ~ spl0_96 ),
inference(split_clause,[status(thm)],[f2405,f703,f783]) ).
fof(f2437,plain,
( ~ spl0_3
| ~ spl0_78 ),
inference(split_clause,[status(thm)],[f2318,f485,f725]) ).
fof(f2494,plain,
( op(e0,e1) != e1
| ~ spl0_81 ),
inference(backward_demodulation,[status(thm)],[f736,f107]) ).
fof(f2495,plain,
( ~ spl0_6
| ~ spl0_81 ),
inference(split_clause,[status(thm)],[f2494,f495,f735]) ).
fof(f2509,plain,
( e3 != e3
| ~ spl0_58 ),
inference(forward_demodulation,[status(thm)],[f662,f1339]) ).
fof(f2510,plain,
( $false
| ~ spl0_58 ),
inference(trivial_equality_resolution,[status(esa)],[f2509]) ).
fof(f2511,plain,
~ spl0_58,
inference(contradiction_clause,[status(thm)],[f2510]) ).
fof(f2519,plain,
( e0 != op(e4,e3)
| ~ spl0_90 ),
inference(backward_demodulation,[status(thm)],[f765,f134]) ).
fof(f2560,plain,
( spl0_26
| ~ spl0_125 ),
inference(split_clause,[status(thm)],[f2208,f559,f876]) ).
fof(f2563,plain,
( spl0_0
| ~ spl0_125 ),
inference(split_clause,[status(thm)],[f2205,f476,f876]) ).
fof(f2564,plain,
( spl0_6
| ~ spl0_125 ),
inference(split_clause,[status(thm)],[f2207,f495,f876]) ).
fof(f2585,plain,
( e2 != op(e2,e3)
| ~ spl0_42 ),
inference(forward_demodulation,[status(thm)],[f611,f129]) ).
fof(f2619,plain,
( ~ spl0_41
| ~ spl0_116 ),
inference(split_clause,[status(thm)],[f2258,f607,f847]) ).
fof(f2682,plain,
( op(e1,e2) != e0
| ~ spl0_110 ),
inference(backward_demodulation,[status(thm)],[f829,f121]) ).
fof(f2683,plain,
( e0 != e0
| ~ spl0_110 ),
inference(forward_demodulation,[status(thm)],[f1332,f2682]) ).
fof(f2684,plain,
( $false
| ~ spl0_110 ),
inference(trivial_equality_resolution,[status(esa)],[f2683]) ).
fof(f2685,plain,
~ spl0_110,
inference(contradiction_clause,[status(thm)],[f2684]) ).
fof(f2686,plain,
( $false
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[status(thm)],[f621,f1595]) ).
fof(f2687,plain,
~ spl0_45,
inference(contradiction_clause,[status(thm)],[f2686]) ).
fof(f2752,plain,
( e0 != e0
| ~ spl0_85 ),
inference(forward_demodulation,[status(thm)],[f749,f1513]) ).
fof(f2753,plain,
( $false
| ~ spl0_85 ),
inference(trivial_equality_resolution,[status(esa)],[f2752]) ).
fof(f2754,plain,
~ spl0_85,
inference(contradiction_clause,[status(thm)],[f2753]) ).
fof(f2763,plain,
( op(e0,e3) = e3
| ~ spl0_125 ),
inference(backward_demodulation,[status(thm)],[f877,f40]) ).
fof(f2764,plain,
( spl0_18
| ~ spl0_125 ),
inference(split_clause,[status(thm)],[f2763,f533,f876]) ).
fof(f2779,plain,
( e1 != op(e1,e4)
| ~ spl0_26 ),
inference(backward_demodulation,[status(thm)],[f560,f158]) ).
fof(f2780,plain,
( ~ spl0_46
| ~ spl0_26 ),
inference(split_clause,[status(thm)],[f2779,f623,f559]) ).
fof(f2791,plain,
( ~ spl0_67
| ~ spl0_42 ),
inference(split_clause,[status(thm)],[f2585,f690,f610]) ).
fof(f2902,plain,
( ~ spl0_115
| ~ spl0_90 ),
inference(split_clause,[status(thm)],[f2519,f844,f764]) ).
fof(f2923,plain,
( e1 = e0
| ~ spl0_71
| ~ spl0_70 ),
inference(forward_demodulation,[status(thm)],[f704,f701]) ).
fof(f2924,plain,
( $false
| ~ spl0_71
| ~ spl0_70 ),
inference(forward_subsumption_resolution,[status(thm)],[f2923,f195]) ).
fof(f2925,plain,
( ~ spl0_71
| ~ spl0_70 ),
inference(contradiction_clause,[status(thm)],[f2924]) ).
fof(f2926,plain,
$false,
inference(sat_refutation,[status(thm)],[f635,f683,f747,f859,f891,f906,f909,f912,f914,f927,f933,f935,f937,f938,f939,f942,f943,f962,f996,f1027,f1028,f1062,f1072,f1104,f1117,f1119,f1125,f1160,f1165,f1167,f1175,f1180,f1182,f1185,f1187,f1191,f1195,f1197,f1214,f1223,f1226,f1229,f1235,f1238,f1241,f1244,f1247,f1253,f1283,f1307,f1322,f1325,f1331,f1335,f1351,f1366,f1410,f1422,f1426,f1428,f1444,f1480,f1489,f1491,f1501,f1551,f1568,f1594,f1603,f1643,f1704,f1723,f1733,f1744,f1761,f1763,f1781,f1811,f1818,f1823,f1825,f1827,f1829,f1894,f1902,f1904,f1913,f1956,f1960,f1969,f1987,f2001,f2011,f2052,f2076,f2097,f2197,f2211,f2234,f2241,f2242,f2256,f2292,f2298,f2372,f2392,f2406,f2437,f2495,f2511,f2560,f2563,f2564,f2619,f2685,f2687,f2754,f2764,f2780,f2791,f2902,f2925]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : ALG062+1 : TPTP v8.1.2. Released v2.7.0.
% 0.09/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.30 % Computer : n006.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Mon Apr 29 23:25:20 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.14/0.32 % Drodi V3.6.0
% 0.14/0.44 % Refutation found
% 0.14/0.44 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.46 % Elapsed time: 0.147148 seconds
% 0.14/0.46 % CPU time: 0.965060 seconds
% 0.14/0.46 % Total memory used: 33.762 MB
% 0.14/0.46 % Net memory used: 32.970 MB
%------------------------------------------------------------------------------